diff --git a/cuda_inference_transformers_text-generation_hf-internal-testing/tiny-random-LlamaForCausalLM/benchmark.json b/cuda_inference_transformers_text-generation_hf-internal-testing/tiny-random-LlamaForCausalLM/benchmark.json
index 561d22e08e0c532bcc48d558d764e69a47065ce6..bda9e0b1cfa32d501d4cf4c1728d083de0baeebe 100644
--- a/cuda_inference_transformers_text-generation_hf-internal-testing/tiny-random-LlamaForCausalLM/benchmark.json
+++ b/cuda_inference_transformers_text-generation_hf-internal-testing/tiny-random-LlamaForCausalLM/benchmark.json
@@ -11,7 +11,7 @@
             "library": "transformers",
             "model_type": "llama",
             "device": "cuda",
-            "device_ids": "6",
+            "device_ids": "4",
             "seed": 42,
             "inter_op_num_threads": null,
             "intra_op_num_threads": null,
@@ -115,7 +115,7 @@
         "load_model": {
             "memory": {
                 "unit": "MB",
-                "max_ram": 1978.454016,
+                "max_ram": 2011.742208,
                 "max_global_vram": 68702.69952,
                 "max_process_vram": 0.0,
                 "max_reserved": 23.068672,
@@ -124,15 +124,15 @@
             "latency": {
                 "unit": "s",
                 "values": [
-                    0.4275376281738281
+                    0.4174219970703125
                 ],
                 "count": 1,
-                "total": 0.4275376281738281,
-                "mean": 0.4275376281738281,
-                "p50": 0.4275376281738281,
-                "p90": 0.4275376281738281,
-                "p95": 0.4275376281738281,
-                "p99": 0.4275376281738281,
+                "total": 0.4174219970703125,
+                "mean": 0.4174219970703125,
+                "p50": 0.4174219970703125,
+                "p90": 0.4174219970703125,
+                "p95": 0.4174219970703125,
+                "p99": 0.4174219970703125,
                 "stdev": 0,
                 "stdev_": 0
             },
@@ -143,7 +143,7 @@
         "first_generate": {
             "memory": {
                 "unit": "MB",
-                "max_ram": 2246.270976,
+                "max_ram": 2246.631424,
                 "max_global_vram": 68702.69952,
                 "max_process_vram": 0.0,
                 "max_reserved": 102.760448,
@@ -152,15 +152,15 @@
             "latency": {
                 "unit": "s",
                 "values": [
-                    0.011379393577575683
+                    0.011354378700256348
                 ],
                 "count": 1,
-                "total": 0.011379393577575683,
-                "mean": 0.011379393577575683,
-                "p50": 0.011379393577575683,
-                "p90": 0.011379393577575683,
-                "p95": 0.011379393577575683,
-                "p99": 0.011379393577575683,
+                "total": 0.011354378700256348,
+                "mean": 0.011354378700256348,
+                "p50": 0.011354378700256348,
+                "p90": 0.011354378700256348,
+                "p95": 0.011354378700256348,
+                "p99": 0.011354378700256348,
                 "stdev": 0,
                 "stdev_": 0
             },
@@ -173,146 +173,149 @@
             "latency": {
                 "unit": "s",
                 "values": [
-                    0.009080508232116698,
-                    0.008573145866394042,
-                    0.007464822769165039,
-                    0.007548343181610107,
-                    0.007529942989349365,
-                    0.007499863147735595,
-                    0.007540662765502929,
-                    0.008081624031066895,
-                    0.007551702976226806,
-                    0.007552823066711426,
-                    0.0075038628578186035,
-                    0.007436982154846191,
-                    0.007447863101959228,
-                    0.007399542808532715,
-                    0.007551702976226806,
-                    0.007406581878662109,
-                    0.007398262977600097,
-                    0.00738994312286377,
-                    0.007395222187042237,
-                    0.007361143112182617,
-                    0.007354742050170899,
-                    0.007352343082427978,
-                    0.00864418601989746,
-                    0.007808343887329101,
-                    0.007400181770324707,
-                    0.007380502223968506,
-                    0.007405463218688965,
-                    0.0073945817947387695,
-                    0.007497942924499511,
-                    0.00736210298538208,
-                    0.00740434217453003,
-                    0.007377623081207275,
-                    0.007399541854858398,
-                    0.01909237861633301,
-                    0.007868982791900635,
-                    0.007577622890472412,
-                    0.00757330322265625,
-                    0.007598423004150391,
-                    0.0076793828010559085,
-                    0.00752210283279419,
-                    0.007549783229827881,
-                    0.007549781799316407,
-                    0.0089769868850708,
-                    0.007544342994689941,
-                    0.007554903030395508,
-                    0.007521462917327881,
-                    0.007528983116149903,
-                    0.007569622993469238,
-                    0.007517622947692871,
-                    0.007566742897033692,
-                    0.007555542945861816,
-                    0.007556663036346435,
-                    0.007530582904815674,
-                    0.007569462776184082,
-                    0.00753266191482544,
-                    0.007538423061370849,
-                    0.007635222911834717,
-                    0.026683439254760744,
-                    0.00813138484954834,
-                    0.007573782920837402,
-                    0.007540503025054932,
-                    0.007560663223266602,
-                    0.00756898307800293,
-                    0.007581943035125732,
-                    0.007672822952270507,
-                    0.007668023109436035,
-                    0.007715383052825928,
-                    0.007559863090515137,
-                    0.007553943157196045,
-                    0.007571543216705322,
-                    0.007687063217163086,
-                    0.007590743064880371,
-                    0.007542902946472168,
-                    0.007576343059539795,
-                    0.007576023101806641,
-                    0.007577463150024414,
-                    0.007563862800598144,
-                    0.007586263179779053,
-                    0.007553782939910889,
-                    0.007590423107147217,
-                    0.007626742839813233,
-                    0.007686102867126465,
-                    0.007693784236907959,
-                    0.007962903976440429,
-                    0.007843544006347656,
-                    0.0076393837928771975,
-                    0.007639543056488037,
-                    0.00768146276473999,
-                    0.0076763429641723635,
-                    0.0076672229766845705,
-                    0.007720983982086181,
-                    0.0076715431213378905,
-                    0.007676023960113526,
-                    0.007687703132629394,
-                    0.007702904224395752,
-                    0.007672342777252197,
-                    0.00767794418334961,
-                    0.007720983028411866,
-                    0.007752823829650879,
-                    0.007699063777923584,
-                    0.007665943145751953,
-                    0.007675864219665527,
-                    0.007699542999267578,
-                    0.007680503845214843,
-                    0.007722902774810791,
-                    0.007679704189300537,
-                    0.0076910629272460935,
-                    0.007682582855224609,
-                    0.018022296905517578,
-                    0.007809304237365723,
-                    0.007733942985534668,
-                    0.007126261234283447,
-                    0.007119701862335205,
-                    0.006844181060791016,
-                    0.006832661151885987,
-                    0.006807860851287842,
-                    0.006807860851287842,
-                    0.007051860809326172,
-                    0.006814740180969238,
-                    0.007647383213043213,
-                    0.00771634292602539,
-                    0.007704343795776367,
-                    0.007771383762359619,
-                    0.007701303005218506,
-                    0.007721303939819336,
-                    0.007699542999267578
+                    0.008988944053649903,
+                    0.009167183876037597,
+                    0.007865426063537597,
+                    0.007548786163330078,
+                    0.007539186954498291,
+                    0.0075241470336914066,
+                    0.007544146060943603,
+                    0.007585746765136719,
+                    0.007559025764465332,
+                    0.010631820678710938,
+                    0.00829982566833496,
+                    0.007542386054992676,
+                    0.007573266983032226,
+                    0.007511186122894287,
+                    0.0076740670204162595,
+                    0.0075641460418701175,
+                    0.00754686689376831,
+                    0.007572306156158447,
+                    0.007530706882476807,
+                    0.007527987003326416,
+                    0.007542226791381836,
+                    0.007532627105712891,
+                    0.007575985908508301,
+                    0.007532947063446045,
+                    0.007527026176452636,
+                    0.0075767869949340825,
+                    0.0075977458953857425,
+                    0.007613747119903564,
+                    0.007670705795288086,
+                    0.007583827018737793,
+                    0.007590065956115723,
+                    0.007557587146759033,
+                    0.00759134578704834,
+                    0.007611667156219483,
+                    0.007869746208190918,
+                    0.007853906154632568,
+                    0.007594386100769043,
+                    0.0075719871520996095,
+                    0.007671505928039551,
+                    0.007594067096710205,
+                    0.007610065937042236,
+                    0.007642547130584717,
+                    0.008581745147705077,
+                    0.007612627029418945,
+                    0.007623186111450195,
+                    0.007582227230072022,
+                    0.007583826065063476,
+                    0.007611186981201172,
+                    0.007557266235351563,
+                    0.0075345468521118165,
+                    0.007551345825195312,
+                    0.007554866790771484,
+                    0.007522706985473633,
+                    0.007547346115112305,
+                    0.007535027027130127,
+                    0.00751982593536377,
+                    0.007616466999053955,
+                    0.007539986133575439,
+                    0.0075150270462036135,
+                    0.00753214693069458,
+                    0.007543665885925293,
+                    0.007526387214660644,
+                    0.0078369460105896,
+                    0.007883026123046874,
+                    0.007831346035003663,
+                    0.007530227184295655,
+                    0.007541586875915527,
+                    0.007508946895599365,
+                    0.007533425807952881,
+                    0.007521107196807862,
+                    0.0076302261352539065,
+                    0.007545106887817383,
+                    0.007545425891876221,
+                    0.007555346965789795,
+                    0.00751406717300415,
+                    0.00756510591506958,
+                    0.007559186935424804,
+                    0.007547026157379151,
+                    0.007559027194976807,
+                    0.007547505855560303,
+                    0.007724627017974854,
+                    0.007863346099853516,
+                    0.007824786186218262,
+                    0.00784126615524292,
+                    0.007933105945587158,
+                    0.007825905799865723,
+                    0.007794705867767334,
+                    0.007816145896911621,
+                    0.007817905902862549,
+                    0.007828465938568115,
+                    0.007793585777282715,
+                    0.00781454610824585,
+                    0.00782542610168457,
+                    0.007887025833129883,
+                    0.007824466228485108,
+                    0.007836465835571288,
+                    0.007805107116699218,
+                    0.007816946983337403,
+                    0.007950864791870117,
+                    0.0080062255859375,
+                    0.007825905799865723,
+                    0.007840466022491456,
+                    0.007828785896301269,
+                    0.007828785896301269,
+                    0.007822865962982178,
+                    0.007844466209411621,
+                    0.007856145858764648,
+                    0.007850865840911865,
+                    0.00784734582901001,
+                    0.00781342601776123,
+                    0.007820466995239257,
+                    0.007835186958312989,
+                    0.007967985153198243,
+                    0.007843505859375,
+                    0.00785598611831665,
+                    0.007834065914154052,
+                    0.007859345912933349,
+                    0.007830066204071045,
+                    0.007899025917053222,
+                    0.007811027050018311,
+                    0.007819506168365478,
+                    0.007821746826171875,
+                    0.007852626800537109,
+                    0.007837427139282227,
+                    0.007829586029052734,
+                    0.00786798620223999,
+                    0.007965105056762695,
+                    0.007895666122436524,
+                    0.00783710479736328
                 ],
-                "count": 126,
-                "total": 0.9979643125534056,
-                "mean": 0.007920351686931792,
-                "p50": 0.0075749030113220215,
-                "p90": 0.007808824062347413,
-                "p95": 0.008462705612182616,
-                "p99": 0.01882485818862915,
-                "stdev": 0.002189441844895004,
-                "stdev_": 27.643240242822554
+                "count": 129,
+                "total": 0.9992291073799132,
+                "mean": 0.0077459620727125065,
+                "p50": 0.0076302261352539065,
+                "p90": 0.007883826065063475,
+                "p95": 0.007966833114624023,
+                "p99": 0.009117276725769043,
+                "stdev": 0.0003517754890920365,
+                "stdev_": 4.541404744689779
             },
             "throughput": {
                 "unit": "samples/s",
-                "value": 252.51403966062594
+                "value": 258.19904373733056
             },
             "energy": null,
             "efficiency": null
@@ -320,7 +323,7 @@
         "prefill": {
             "memory": {
                 "unit": "MB",
-                "max_ram": 2256.351232,
+                "max_ram": 2257.391616,
                 "max_global_vram": 68702.69952,
                 "max_process_vram": 0.0,
                 "max_reserved": 102.760448,
@@ -329,146 +332,149 @@
             "latency": {
                 "unit": "s",
                 "values": [
-                    0.00507425594329834,
-                    0.004953774929046631,
-                    0.004162093162536621,
-                    0.004179693222045898,
-                    0.004205772876739502,
-                    0.00419169282913208,
-                    0.004212012767791748,
-                    0.004219852924346924,
-                    0.0042432122230529785,
-                    0.004230253219604492,
-                    0.004202733039855957,
-                    0.004155211925506592,
-                    0.004173452854156494,
-                    0.004121772766113281,
-                    0.004267852783203125,
-                    0.00412257194519043,
-                    0.004117133140563965,
-                    0.004129453182220459,
-                    0.004130891799926758,
-                    0.004112173080444336,
-                    0.004098412036895752,
-                    0.00406993293762207,
-                    0.004076972007751465,
-                    0.004460653781890869,
-                    0.004078092098236084,
-                    0.004072492122650147,
-                    0.0040804920196533204,
-                    0.004070412158966064,
-                    0.004183372974395752,
-                    0.00406337308883667,
-                    0.0040848121643066405,
-                    0.004073293209075928,
-                    0.004071531772613525,
-                    0.004070093154907226,
-                    0.004434732913970947,
-                    0.004154572010040283,
-                    0.0041489720344543455,
-                    0.0041678519248962405,
-                    0.00423041296005249,
-                    0.00413489294052124,
-                    0.004155693054199219,
-                    0.0041537718772888185,
-                    0.0055681772232055666,
-                    0.004143373012542724,
-                    0.004149133205413818,
-                    0.004130093097686768,
-                    0.004137612819671631,
-                    0.0041512131690979006,
-                    0.004138253211975098,
-                    0.004157773017883301,
-                    0.004148333072662353,
-                    0.004153613090515137,
-                    0.004147052764892578,
-                    0.004162572860717774,
-                    0.0041489720344543455,
-                    0.004150412082672119,
-                    0.004248332977294922,
-                    0.004136172771453858,
-                    0.004725454807281494,
-                    0.004160172939300537,
-                    0.0041542530059814455,
-                    0.0041614527702331545,
-                    0.00416497278213501,
-                    0.004156171798706055,
-                    0.004208972930908203,
-                    0.004210893154144287,
-                    0.004211532115936279,
-                    0.004155532836914062,
-                    0.0041659331321716305,
-                    0.004163212776184082,
-                    0.004260172843933105,
-                    0.0041804928779602055,
-                    0.004155212879180908,
-                    0.004151692867279053,
-                    0.0041593718528747554,
-                    0.004160972118377686,
-                    0.0041612920761108394,
-                    0.0041848130226135255,
-                    0.0041492929458618166,
-                    0.004160812854766846,
-                    0.00416945219039917,
-                    0.004205772876739502,
-                    0.004217772960662842,
-                    0.004403693199157715,
-                    0.004331212997436523,
-                    0.004188013076782226,
-                    0.004186731815338135,
-                    0.0042044930458068844,
-                    0.004180811882019043,
-                    0.004210732936859131,
-                    0.004216813087463379,
-                    0.004200653076171875,
-                    0.004202733039855957,
-                    0.0042203330993652345,
-                    0.004209612846374512,
-                    0.004212812900543213,
-                    0.00422385311126709,
-                    0.0042539329528808595,
-                    0.004293293952941895,
-                    0.0042308931350708,
-                    0.0042092928886413574,
-                    0.004216813087463379,
-                    0.004222572803497315,
-                    0.00422225284576416,
-                    0.004214892864227295,
-                    0.004210252761840821,
-                    0.004214572906494141,
-                    0.004217611789703369,
-                    0.014484844207763671,
-                    0.004331693172454834,
-                    0.004255212783813476,
-                    0.004072651863098144,
-                    0.003830091953277588,
-                    0.0037512118816375732,
-                    0.003745771884918213,
-                    0.0037225708961486814,
-                    0.0037436909675598144,
-                    0.0038390510082244875,
-                    0.003748971939086914,
-                    0.004163853168487549,
-                    0.004224332809448242,
-                    0.004229453086853028,
-                    0.0042630529403686526,
-                    0.0042233729362487794,
-                    0.004246413230895996,
-                    0.004215853214263916
+                    0.004998071193695068,
+                    0.004956631183624267,
+                    0.004476151943206787,
+                    0.004167352199554443,
+                    0.0041534328460693356,
+                    0.004141753196716309,
+                    0.004143991947174072,
+                    0.004191032886505127,
+                    0.004168791770935059,
+                    0.004196473121643066,
+                    0.00483247184753418,
+                    0.0041598320007324215,
+                    0.004158712863922119,
+                    0.0041291117668151855,
+                    0.004264633178710938,
+                    0.004153592109680176,
+                    0.004151833057403564,
+                    0.004181591987609863,
+                    0.004151672840118408,
+                    0.004145752906799316,
+                    0.004160792827606201,
+                    0.004150873184204102,
+                    0.004164951801300049,
+                    0.004144153118133545,
+                    0.004142871856689453,
+                    0.004154713153839112,
+                    0.004195512771606446,
+                    0.00419743299484253,
+                    0.004277112007141114,
+                    0.0041791930198669435,
+                    0.004206552028656006,
+                    0.004169272899627686,
+                    0.004184152126312256,
+                    0.004141753196716309,
+                    0.00431711196899414,
+                    0.004304952144622802,
+                    0.004176792144775391,
+                    0.004182713031768799,
+                    0.004184951782226562,
+                    0.004185273170471192,
+                    0.0041953520774841305,
+                    0.004246872901916504,
+                    0.005149431228637695,
+                    0.0041913528442382815,
+                    0.004198071956634522,
+                    0.004175673007965088,
+                    0.004184152126312256,
+                    0.0041835131645202635,
+                    0.0041628718376159664,
+                    0.004152313232421875,
+                    0.004159671783447266,
+                    0.004159352779388428,
+                    0.004144632816314697,
+                    0.0041598320007324215,
+                    0.004156473159790039,
+                    0.004137271881103515,
+                    0.004244792938232422,
+                    0.0041526322364807125,
+                    0.004133273124694825,
+                    0.004129272937774658,
+                    0.004156951904296875,
+                    0.004137753009796142,
+                    0.004291192054748535,
+                    0.0043401517868041995,
+                    0.0042870321273803715,
+                    0.004147512912750244,
+                    0.004154393196105957,
+                    0.004129912853240967,
+                    0.004155831813812256,
+                    0.004137592792510986,
+                    0.004247191905975342,
+                    0.004154073238372803,
+                    0.004144472122192383,
+                    0.004158873081207276,
+                    0.004123033046722412,
+                    0.0041555118560791015,
+                    0.00416351318359375,
+                    0.004155191898345947,
+                    0.004158712863922119,
+                    0.004162551879882813,
+                    0.00419791316986084,
+                    0.004297111988067627,
+                    0.004281911849975586,
+                    0.0043091120719909665,
+                    0.004379672050476074,
+                    0.004285592079162598,
+                    0.004272632122039795,
+                    0.004267672061920166,
+                    0.00427135181427002,
+                    0.004279191970825195,
+                    0.00427615213394165,
+                    0.004268793106079102,
+                    0.004273592948913574,
+                    0.004285112857818603,
+                    0.004278392791748047,
+                    0.0042855930328369145,
+                    0.004284472942352295,
+                    0.004284953117370606,
+                    0.004389912128448486,
+                    0.004304792881011963,
+                    0.0042900719642639164,
+                    0.00429423189163208,
+                    0.0042689528465271,
+                    0.004283352851867676,
+                    0.004291673183441162,
+                    0.004262392997741699,
+                    0.0042881531715393065,
+                    0.004302392959594727,
+                    0.004306232929229737,
+                    0.00426943302154541,
+                    0.004297593116760254,
+                    0.0043046331405639645,
+                    0.004403351783752441,
+                    0.004287192821502686,
+                    0.00429183292388916,
+                    0.0043027129173278805,
+                    0.0043003129959106445,
+                    0.0042881531715393065,
+                    0.004376152992248535,
+                    0.004283513069152832,
+                    0.00426943302154541,
+                    0.00429343318939209,
+                    0.004303193092346192,
+                    0.004291353225708008,
+                    0.004280792236328125,
+                    0.004322872161865234,
+                    0.0043897519111633304,
+                    0.004323193073272705,
+                    0.004289752006530762
                 ],
-                "count": 126,
-                "total": 0.537958441734314,
-                "mean": 0.004269511442335825,
-                "p50": 0.0041668925285339355,
-                "p90": 0.004261612892150879,
-                "p95": 0.004426972985267639,
-                "p99": 0.00544469690322876,
-                "stdev": 0.0009366199994284835,
-                "stdev_": 21.937404597188856
+                "count": 129,
+                "total": 0.5482523174285888,
+                "mean": 0.004250017964562705,
+                "p50": 0.004198071956634522,
+                "p90": 0.004318264007568359,
+                "p95": 0.004389848041534424,
+                "p99": 0.004986467990875244,
+                "stdev": 0.00015207348251686543,
+                "stdev_": 3.578184463804088
             },
             "throughput": {
                 "unit": "samples/s",
-                "value": 468.43767185357666
+                "value": 470.58624614679366
             },
             "energy": null,
             "efficiency": null
@@ -476,7 +482,7 @@
         "decode": {
             "memory": {
                 "unit": "MB",
-                "max_ram": 2256.408576,
+                "max_ram": 2257.55136,
                 "max_global_vram": 68702.69952,
                 "max_process_vram": 0.0,
                 "max_reserved": 102.760448,
@@ -485,146 +491,149 @@
             "latency": {
                 "unit": "s",
                 "values": [
-                    0.004006251811981201,
-                    0.003619370937347412,
-                    0.0033027300834655763,
-                    0.003368649959564209,
-                    0.0033241701126098633,
-                    0.0033081700801849364,
-                    0.003328649997711182,
-                    0.0038617711067199705,
-                    0.003308490991592407,
-                    0.003322570085525513,
-                    0.0033011300563812254,
-                    0.0032817699909210205,
-                    0.003274410009384155,
-                    0.0032777700424194336,
-                    0.0032838499546051026,
-                    0.00328400993347168,
-                    0.003281130075454712,
-                    0.0032604899406433107,
-                    0.0032643299102783204,
-                    0.003248970031738281,
-                    0.0032563300132751466,
-                    0.003282409906387329,
-                    0.004567214012145996,
-                    0.0033476901054382323,
-                    0.003322089910507202,
-                    0.003308010101318359,
-                    0.0033249709606170655,
-                    0.0033241701126098633,
-                    0.00331456995010376,
-                    0.00329872989654541,
-                    0.0033195300102233888,
-                    0.0033043301105499267,
-                    0.003328010082244873,
-                    0.015022285461425781,
-                    0.0034342501163482668,
-                    0.003423051118850708,
-                    0.003424330949783325,
-                    0.0034305710792541504,
-                    0.003448970079421997,
-                    0.003387209892272949,
-                    0.003394089937210083,
-                    0.0033960099220275877,
-                    0.0034088099002838133,
-                    0.0034009699821472166,
-                    0.0034057700634002683,
-                    0.0033913700580596924,
-                    0.0033913700580596924,
-                    0.003418410062789917,
-                    0.0033793699741363524,
-                    0.0034089701175689696,
-                    0.003407210111618042,
-                    0.0034030499458312987,
-                    0.0033835299015045166,
-                    0.0034068899154663084,
-                    0.003383690118789673,
-                    0.0033880109786987305,
-                    0.003386889934539795,
-                    0.02254726791381836,
-                    0.0034059300422668456,
-                    0.0034136099815368654,
-                    0.0033862500190734862,
-                    0.003399209976196289,
-                    0.0034040100574493407,
-                    0.0034257709980010987,
-                    0.003463850021362305,
-                    0.0034571299552917482,
-                    0.0035038509368896485,
-                    0.003404330015182495,
-                    0.003388010025024414,
-                    0.003408329963684082,
-                    0.003426889896392822,
-                    0.003410249948501587,
-                    0.00338769006729126,
-                    0.003424649953842163,
-                    0.0034166510105133057,
-                    0.0034164910316467284,
-                    0.0034025709629058837,
-                    0.0034014499187469483,
-                    0.0034044899940490723,
-                    0.003429610013961792,
-                    0.0034572908878326416,
-                    0.003480329990386963,
-                    0.003476011037826538,
-                    0.003559211015701294,
-                    0.0035123310089111327,
-                    0.00345137095451355,
-                    0.003452811002731323,
-                    0.0034769699573516844,
-                    0.0034955310821533202,
-                    0.0034564900398254394,
-                    0.003504170894622803,
-                    0.003470890045166016,
-                    0.0034732909202575685,
-                    0.00346737003326416,
-                    0.0034932909011840822,
-                    0.0034595301151275635,
-                    0.0034540910720825195,
-                    0.0034670500755310057,
-                    0.0034595301151275635,
-                    0.0034681708812713623,
-                    0.0034566500186920166,
-                    0.0034590508937835693,
-                    0.0034769699573516844,
-                    0.0034582509994506836,
-                    0.003508009910583496,
-                    0.0034694509506225588,
-                    0.003476490020751953,
-                    0.00346497106552124,
-                    0.0035374510288238526,
-                    0.0034776110649108885,
-                    0.0034787299633026124,
-                    0.0030536088943481443,
-                    0.003289609909057617,
-                    0.0030929689407348635,
-                    0.0030868890285491945,
-                    0.00308528995513916,
-                    0.0030641698837280272,
-                    0.0032128100395202638,
-                    0.0030657680034637453,
-                    0.003483530044555664,
-                    0.0034920101165771484,
-                    0.003474890947341919,
-                    0.003508331060409546,
-                    0.0034779300689697264,
-                    0.003474890947341919,
-                    0.0034836900234222414
+                    0.003990873098373413,
+                    0.004210553169250488,
+                    0.0033892738819122315,
+                    0.003381433963775635,
+                    0.003385754108428955,
+                    0.003382394075393677,
+                    0.0034001541137695314,
+                    0.003394714117050171,
+                    0.0033902339935302736,
+                    0.006435348033905029,
+                    0.0034673540592193605,
+                    0.0033825540542602537,
+                    0.0034145541191101074,
+                    0.0033820741176605225,
+                    0.0034094340801239013,
+                    0.0034105539321899413,
+                    0.0033950340747833253,
+                    0.0033907139301300048,
+                    0.0033790340423583984,
+                    0.0033822340965270997,
+                    0.003381433963775635,
+                    0.003381753921508789,
+                    0.003411034107208252,
+                    0.0033887939453125,
+                    0.0033841540813446046,
+                    0.0034220740795135496,
+                    0.0034022328853607177,
+                    0.003416313886642456,
+                    0.0033935940265655516,
+                    0.0034046339988708495,
+                    0.003383513927459717,
+                    0.0033883140087127687,
+                    0.0034071938991546633,
+                    0.0034699139595031738,
+                    0.003552634000778198,
+                    0.0035489540100097656,
+                    0.0034175939559936523,
+                    0.0033892738819122315,
+                    0.003486553907394409,
+                    0.0034087939262390137,
+                    0.0034147140979766846,
+                    0.0033956739902496337,
+                    0.0034323139190673827,
+                    0.003421273946762085,
+                    0.0034251139163970945,
+                    0.0034065539836883544,
+                    0.0033996739387512206,
+                    0.0034276740550994874,
+                    0.0033943939208984377,
+                    0.0033822340965270997,
+                    0.0033916740417480468,
+                    0.0033955140113830565,
+                    0.0033780739307403564,
+                    0.0033875141143798826,
+                    0.003378554105758667,
+                    0.0033825540542602537,
+                    0.003371674060821533,
+                    0.0033873538970947267,
+                    0.003381753921508789,
+                    0.003402873992919922,
+                    0.003386713981628418,
+                    0.0033886339664459227,
+                    0.0035457539558410643,
+                    0.0035428740978240966,
+                    0.003544313907623291,
+                    0.003382714033126831,
+                    0.0033871939182281495,
+                    0.0033790340423583984,
+                    0.003377593994140625,
+                    0.003383513927459717,
+                    0.0033830339908599853,
+                    0.003391033887863159,
+                    0.003400954008102417,
+                    0.0033964738845825193,
+                    0.003391033887863159,
+                    0.0034095940589904785,
+                    0.0033956739902496337,
+                    0.003391834020614624,
+                    0.003400314092636108,
+                    0.00338495397567749,
+                    0.003526714086532593,
+                    0.003566234111785889,
+                    0.0035428740978240966,
+                    0.003532154083251953,
+                    0.003553433895111084,
+                    0.003540313959121704,
+                    0.003522073984146118,
+                    0.0035484740734100344,
+                    0.003546554088592529,
+                    0.00354927396774292,
+                    0.0035174338817596435,
+                    0.003545753002166748,
+                    0.003551832914352417,
+                    0.0036019129753112793,
+                    0.0035460729598999026,
+                    0.0035508730411529543,
+                    0.003520633935928345,
+                    0.003531994104385376,
+                    0.0035609529018402098,
+                    0.003701432943344116,
+                    0.0035358340740203856,
+                    0.003546233892440796,
+                    0.00355983304977417,
+                    0.0035454330444335937,
+                    0.003531193017959595,
+                    0.0035820729732513427,
+                    0.0035679929256439208,
+                    0.0035484728813171386,
+                    0.0035411128997802736,
+                    0.0035439929962158205,
+                    0.003522874116897583,
+                    0.0035305540561676027,
+                    0.0035646328926086427,
+                    0.0035563130378723144,
+                    0.003564152956008911,
+                    0.0035313529968261717,
+                    0.003559032917022705,
+                    0.0035419130325317384,
+                    0.0035228729248046875,
+                    0.0035275139808654786,
+                    0.003550072908401489,
+                    0.0035283141136169434,
+                    0.0035494339466094972,
+                    0.0035460739135742187,
+                    0.0035487940311431884,
+                    0.003545114040374756,
+                    0.003575352907180786,
+                    0.0035724730491638185,
+                    0.0035473530292510986
                 ],
-                "count": 126,
-                "total": 0.46000586843490604,
-                "mean": 0.003650840225673858,
-                "p50": 0.0034085699319839477,
-                "p90": 0.0034996910095214844,
-                "p95": 0.003553771018981934,
-                "p99": 0.012408517599105835,
-                "stdev": 0.0019861221977452307,
-                "stdev_": 54.40178356144413
+                "count": 129,
+                "total": 0.45097679066658014,
+                "mean": 0.00349594411369442,
+                "p50": 0.003421273946762085,
+                "p90": 0.003560057020187378,
+                "p95": 0.003574200963973999,
+                "p99": 0.004149042749404907,
+                "stdev": 0.0002827019372367087,
+                "stdev_": 8.086569122466802
             },
             "throughput": {
                 "unit": "tokens/s",
-                "value": 547.8190981723523
+                "value": 572.091525195022
             },
             "energy": null,
             "efficiency": null
@@ -634,15892 +643,16657 @@
             "latency": {
                 "unit": "s",
                 "values": [
-                    0.0037152109146118164,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.004116493225097656,
-                    0.002860167980194092,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.004116493225097656,
-                    0.002860167980194092,
-                    0.004029132843017578,
-                    0.00283296799659729,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.004116493225097656,
-                    0.002860167980194092,
-                    0.004029132843017578,
-                    0.00283296799659729,
-                    0.00401937198638916,
-                    0.0028227291107177734,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.004116493225097656,
-                    0.002860167980194092,
-                    0.004029132843017578,
-                    0.00283296799659729,
-                    0.00401937198638916,
-                    0.0028227291107177734,
-                    0.004056171894073486,
-                    0.00282240891456604,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.004116493225097656,
-                    0.002860167980194092,
-                    0.004029132843017578,
-                    0.00283296799659729,
-                    0.00401937198638916,
-                    0.0028227291107177734,
-                    0.004056171894073486,
-                    0.00282240891456604,
-                    0.00412257194519043,
-                    0.0029700889587402344,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.004116493225097656,
-                    0.002860167980194092,
-                    0.004029132843017578,
-                    0.00283296799659729,
-                    0.00401937198638916,
-                    0.0028227291107177734,
-                    0.004056171894073486,
-                    0.00282240891456604,
-                    0.00412257194519043,
-                    0.0029700889587402344,
-                    0.004039052963256836,
-                    0.002816488027572632,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.004116493225097656,
-                    0.002860167980194092,
-                    0.004029132843017578,
-                    0.00283296799659729,
-                    0.00401937198638916,
-                    0.0028227291107177734,
-                    0.004056171894073486,
-                    0.00282240891456604,
-                    0.00412257194519043,
-                    0.0029700889587402344,
-                    0.004039052963256836,
-                    0.002816488027572632,
-                    0.0044576129913330076,
-                    0.0032131299972534178,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.004116493225097656,
-                    0.002860167980194092,
-                    0.004029132843017578,
-                    0.00283296799659729,
-                    0.00401937198638916,
-                    0.0028227291107177734,
-                    0.004056171894073486,
-                    0.00282240891456604,
-                    0.00412257194519043,
-                    0.0029700889587402344,
-                    0.004039052963256836,
-                    0.002816488027572632,
-                    0.0044576129913330076,
-                    0.0032131299972534178,
-                    0.00463249397277832,
-                    0.0032201690673828126,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.004116493225097656,
-                    0.002860167980194092,
-                    0.004029132843017578,
-                    0.00283296799659729,
-                    0.00401937198638916,
-                    0.0028227291107177734,
-                    0.004056171894073486,
-                    0.00282240891456604,
-                    0.00412257194519043,
-                    0.0029700889587402344,
-                    0.004039052963256836,
-                    0.002816488027572632,
-                    0.0044576129913330076,
-                    0.0032131299972534178,
-                    0.00463249397277832,
-                    0.0032201690673828126,
-                    0.004552333831787109,
-                    0.003201770067214966,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.004116493225097656,
-                    0.002860167980194092,
-                    0.004029132843017578,
-                    0.00283296799659729,
-                    0.00401937198638916,
-                    0.0028227291107177734,
-                    0.004056171894073486,
-                    0.00282240891456604,
-                    0.00412257194519043,
-                    0.0029700889587402344,
-                    0.004039052963256836,
-                    0.002816488027572632,
-                    0.0044576129913330076,
-                    0.0032131299972534178,
-                    0.00463249397277832,
-                    0.0032201690673828126,
-                    0.004552333831787109,
-                    0.003201770067214966,
-                    0.004589933872222901,
-                    0.003234410047531128,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.004116493225097656,
-                    0.002860167980194092,
-                    0.004029132843017578,
-                    0.00283296799659729,
-                    0.00401937198638916,
-                    0.0028227291107177734,
-                    0.004056171894073486,
-                    0.00282240891456604,
-                    0.00412257194519043,
-                    0.0029700889587402344,
-                    0.004039052963256836,
-                    0.002816488027572632,
-                    0.0044576129913330076,
-                    0.0032131299972534178,
-                    0.00463249397277832,
-                    0.0032201690673828126,
-                    0.004552333831787109,
-                    0.003201770067214966,
-                    0.004589933872222901,
-                    0.003234410047531128,
-                    0.004547533988952637,
-                    0.003198409080505371,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.004116493225097656,
-                    0.002860167980194092,
-                    0.004029132843017578,
-                    0.00283296799659729,
-                    0.00401937198638916,
-                    0.0028227291107177734,
-                    0.004056171894073486,
-                    0.00282240891456604,
-                    0.00412257194519043,
-                    0.0029700889587402344,
-                    0.004039052963256836,
-                    0.002816488027572632,
-                    0.0044576129913330076,
-                    0.0032131299972534178,
-                    0.00463249397277832,
-                    0.0032201690673828126,
-                    0.004552333831787109,
-                    0.003201770067214966,
-                    0.004589933872222901,
-                    0.003234410047531128,
-                    0.004547533988952637,
-                    0.003198409080505371,
-                    0.004579693794250488,
-                    0.0032054500579833983,
-                    0.0037152109146118164,
-                    0.0052918558120727535,
-                    0.0033769700527191164,
-                    0.004444653987884521,
-                    0.00305600905418396,
-                    0.004468493938446045,
-                    0.0031193690299987794,
-                    0.004498094081878662,
-                    0.0030763289928436278,
-                    0.004483054161071778,
-                    0.0030558490753173828,
-                    0.00451185417175293,
-                    0.0030598490238189697,
-                    0.004532333850860596,
-                    0.003594731092453003,
-                    0.004554412841796875,
-                    0.003060970067977905,
-                    0.0045265741348266605,
-                    0.0030748889446258545,
-                    0.004504973888397217,
-                    0.003058089017868042,
-                    0.00444161319732666,
-                    0.003039530038833618,
-                    0.004461772918701172,
-                    0.003033608913421631,
-                    0.004408974170684815,
-                    0.003029608964920044,
-                    0.004557293891906738,
-                    0.0030411291122436524,
-                    0.004410733222961425,
-                    0.0030408101081848145,
-                    0.004401453018188476,
-                    0.003040488958358765,
-                    0.004421773910522461,
-                    0.003021449089050293,
-                    0.0044104127883911135,
-                    0.0030136089324951172,
-                    0.0044059338569641116,
-                    0.003007369041442871,
-                    0.004379212856292725,
-                    0.003016329050064087,
-                    0.004352493762969971,
-                    0.003043848991394043,
-                    0.004360493183135986,
-                    0.004195853233337403,
-                    0.004890894889831543,
-                    0.003088489055633545,
-                    0.004374413013458252,
-                    0.0030580899715423582,
-                    0.0043750529289245605,
-                    0.003046889066696167,
-                    0.0043793730735778805,
-                    0.0030624101161956787,
-                    0.00437617301940918,
-                    0.0030616090297698973,
-                    0.0044841737747192386,
-                    0.0030403289794921876,
-                    0.004381773948669433,
-                    0.003036489009857178,
-                    0.0043860931396484375,
-                    0.0030598490238189697,
-                    0.004376173973083496,
-                    0.0030464088916778566,
-                    0.004367853164672851,
-                    0.0030585689544677733,
-                    0.004382894039154052,
-                    0.014792365074157715,
-                    0.0047051339149475095,
-                    0.003166729927062988,
-                    0.004460493087768555,
-                    0.003156169891357422,
-                    0.004465773105621338,
-                    0.0031470499038696287,
-                    0.004483532905578613,
-                    0.0031619300842285155,
-                    0.004537933826446533,
-                    0.003181770086288452,
-                    0.004452173233032227,
-                    0.0031259300708770753,
-                    0.004458413124084472,
-                    0.0031315300464630127,
-                    0.004458413124084472,
-                    0.003130729913711548,
-                    0.005880978107452393,
-                    0.003139369010925293,
-                    0.004451694011688233,
-                    0.003133289098739624,
-                    0.004455373764038086,
-                    0.003140168905258179,
-                    0.004447373867034912,
-                    0.003127048969268799,
-                    0.0044414539337158205,
-                    0.00312096905708313,
-                    0.004460653781890869,
-                    0.003154728889465332,
-                    0.00445393419265747,
-                    0.0031188890933990477,
-                    0.004458893775939941,
-                    0.003144169092178345,
-                    0.004452494144439698,
-                    0.0031264090538024904,
-                    0.0044982538223266606,
-                    0.0031363298892974852,
-                    0.004453453063964843,
-                    0.0031222500801086424,
-                    0.004466093063354492,
-                    0.003142090082168579,
-                    0.004455372810363769,
-                    0.0031193699836730955,
-                    0.004474573135375977,
-                    0.0031254498958587645,
-                    0.004552974224090576,
-                    0.0031233689785003663,
-                    0.0044396939277648925,
-                    0.02224038887023926,
-                    0.005111536026000976,
-                    0.003140649080276489,
-                    0.0044886541366577146,
-                    0.003136328935623169,
-                    0.004472653865814209,
-                    0.0031240088939666747,
-                    0.004465293884277344,
-                    0.0031368091106414794,
-                    0.004470094203948975,
-                    0.003136810064315796,
-                    0.0044840130805969235,
-                    0.0031459300518035887,
-                    0.004531214237213135,
-                    0.003195369005203247,
-                    0.004519053936004639,
-                    0.0031840100288391114,
-                    0.0045310530662536624,
-                    0.003235529899597168,
-                    0.004489453792572021,
-                    0.003140328884124756,
-                    0.004475694179534912,
-                    0.0031225690841674807,
-                    0.00447745418548584,
-                    0.003146889925003052,
-                    0.004568334102630615,
-                    0.003162889003753662,
-                    0.004490893840789795,
-                    0.003135209083557129,
-                    0.004499534130096436,
-                    0.0031246490478515623,
-                    0.0044630541801452634,
-                    0.0031537699699401857,
-                    0.0044764928817749025,
-                    0.0031496100425720216,
-                    0.004475213050842285,
-                    0.003148329973220825,
-                    0.004475693225860596,
-                    0.0031360099315643312,
-                    0.004539214134216309,
-                    0.003136328935623169,
-                    0.004464334011077881,
-                    0.0031398489475250244,
-                    0.004472814083099365,
-                    0.0031617701053619383,
-                    0.004483212947845459,
-                    0.003186729907989502,
-                    0.004522893905639648,
-                    0.003211688995361328,
-                    0.004581933975219727,
-                    0.0032036900520324707,
-                    0.004722733974456787,
-                    0.003280970096588135,
-                    0.004658894062042236,
-                    0.0032332899570465088,
-                    0.004513773918151855,
-                    0.0031832098960876466,
-                    0.00450225305557251,
-                    0.0031860899925231934,
-                    0.004527534008026123,
-                    0.0032056100368499756,
-                    0.004501613140106201,
-                    0.0032246499061584473,
-                    0.004529133796691894,
-                    0.0031876890659332277,
-                    0.004535213947296142,
-                    0.003235529899597168,
-                    0.004515853881835938,
-                    0.0031961688995361327,
-                    0.004525454044342041,
-                    0.0031974499225616453,
-                    0.004550573825836182,
-                    0.003195369005203247,
-                    0.004528493881225586,
-                    0.0032220900058746336,
-                    0.004531214237213135,
-                    0.0031928091049194334,
-                    0.004537613868713379,
-                    0.0031880099773406983,
-                    0.004571534156799316,
-                    0.00319936990737915,
-                    0.004608173847198486,
-                    0.0031928091049194334,
-                    0.0045961737632751465,
-                    0.0031963300704956053,
-                    0.004536173820495606,
-                    0.0031809689998626707,
-                    0.004540974140167236,
-                    0.00319281005859375,
-                    0.004540493965148926,
-                    0.003210728883743286,
-                    0.00453697395324707,
-                    0.003187690019607544,
-                    0.004534893989562988,
-                    0.0032350490093231202,
-                    0.004531214237213135,
-                    0.003199850082397461,
-                    0.0046054539680480955,
-                    0.0031996901035308838,
-                    0.004542892932891846,
-                    0.003197770118713379,
-                    0.014803404808044434,
-                    0.0032440099716186522,
-                    0.004686413764953613,
-                    0.003195849895477295,
-                    0.004589134216308593,
-                    0.0032025699615478515,
-                    0.004398733139038086,
-                    0.002809448003768921,
-                    0.004117133140563965,
-                    0.0030465691089630125,
-                    0.004116493225097656,
-                    0.002860167980194092,
-                    0.004029132843017578,
-                    0.00283296799659729,
-                    0.00401937198638916,
-                    0.0028227291107177734,
-                    0.004056171894073486,
-                    0.00282240891456604,
-                    0.00412257194519043,
-                    0.0029700889587402344,
-                    0.004039052963256836,
-                    0.002816488027572632,
-                    0.0044576129913330076,
-                    0.0032131299972534178,
-                    0.00463249397277832,
-                    0.0032201690673828126,
-                    0.004552333831787109,
-                    0.003201770067214966,
-                    0.004589933872222901,
-                    0.003234410047531128,
-                    0.004547533988952637,
-                    0.003198409080505371,
-                    0.004579693794250488,
-                    0.0032054500579833983,
-                    0.0045356941223144535,
-                    0.0032112090587615967
+                    0.0036857540607452394,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.004634071826934814,
+                    0.0032748739719390867,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.004634071826934814,
+                    0.0032748739719390867,
+                    0.004622712135314942,
+                    0.003268954038619995,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.004634071826934814,
+                    0.0032748739719390867,
+                    0.004622712135314942,
+                    0.003268954038619995,
+                    0.004704951763153076,
+                    0.0032467141151428223,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.004634071826934814,
+                    0.0032748739719390867,
+                    0.004622712135314942,
+                    0.003268954038619995,
+                    0.004704951763153076,
+                    0.0032467141151428223,
+                    0.004610392093658447,
+                    0.0032519938945770265,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.004634071826934814,
+                    0.0032748739719390867,
+                    0.004622712135314942,
+                    0.003268954038619995,
+                    0.004704951763153076,
+                    0.0032467141151428223,
+                    0.004610392093658447,
+                    0.0032519938945770265,
+                    0.004668791770935058,
+                    0.0032734339237213135,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.004634071826934814,
+                    0.0032748739719390867,
+                    0.004622712135314942,
+                    0.003268954038619995,
+                    0.004704951763153076,
+                    0.0032467141151428223,
+                    0.004610392093658447,
+                    0.0032519938945770265,
+                    0.004668791770935058,
+                    0.0032734339237213135,
+                    0.004620471954345703,
+                    0.0032569539546966554,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.004634071826934814,
+                    0.0032748739719390867,
+                    0.004622712135314942,
+                    0.003268954038619995,
+                    0.004704951763153076,
+                    0.0032467141151428223,
+                    0.004610392093658447,
+                    0.0032519938945770265,
+                    0.004668791770935058,
+                    0.0032734339237213135,
+                    0.004620471954345703,
+                    0.0032569539546966554,
+                    0.0046289520263671875,
+                    0.003268794059753418,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.004634071826934814,
+                    0.0032748739719390867,
+                    0.004622712135314942,
+                    0.003268954038619995,
+                    0.004704951763153076,
+                    0.0032467141151428223,
+                    0.004610392093658447,
+                    0.0032519938945770265,
+                    0.004668791770935058,
+                    0.0032734339237213135,
+                    0.004620471954345703,
+                    0.0032569539546966554,
+                    0.0046289520263671875,
+                    0.003268794059753418,
+                    0.004622712135314942,
+                    0.0032703940868377686,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.004634071826934814,
+                    0.0032748739719390867,
+                    0.004622712135314942,
+                    0.003268954038619995,
+                    0.004704951763153076,
+                    0.0032467141151428223,
+                    0.004610392093658447,
+                    0.0032519938945770265,
+                    0.004668791770935058,
+                    0.0032734339237213135,
+                    0.004620471954345703,
+                    0.0032569539546966554,
+                    0.0046289520263671875,
+                    0.003268794059753418,
+                    0.004622712135314942,
+                    0.0032703940868377686,
+                    0.004610712051391601,
+                    0.0032766339778900148,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.004634071826934814,
+                    0.0032748739719390867,
+                    0.004622712135314942,
+                    0.003268954038619995,
+                    0.004704951763153076,
+                    0.0032467141151428223,
+                    0.004610392093658447,
+                    0.0032519938945770265,
+                    0.004668791770935058,
+                    0.0032734339237213135,
+                    0.004620471954345703,
+                    0.0032569539546966554,
+                    0.0046289520263671875,
+                    0.003268794059753418,
+                    0.004622712135314942,
+                    0.0032703940868377686,
+                    0.004610712051391601,
+                    0.0032766339778900148,
+                    0.00464959192276001,
+                    0.003272794008255005,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.004634071826934814,
+                    0.0032748739719390867,
+                    0.004622712135314942,
+                    0.003268954038619995,
+                    0.004704951763153076,
+                    0.0032467141151428223,
+                    0.004610392093658447,
+                    0.0032519938945770265,
+                    0.004668791770935058,
+                    0.0032734339237213135,
+                    0.004620471954345703,
+                    0.0032569539546966554,
+                    0.0046289520263671875,
+                    0.003268794059753418,
+                    0.004622712135314942,
+                    0.0032703940868377686,
+                    0.004610712051391601,
+                    0.0032766339778900148,
+                    0.00464959192276001,
+                    0.003272794008255005,
+                    0.004710552215576172,
+                    0.0032935938835144045,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.004634071826934814,
+                    0.0032748739719390867,
+                    0.004622712135314942,
+                    0.003268954038619995,
+                    0.004704951763153076,
+                    0.0032467141151428223,
+                    0.004610392093658447,
+                    0.0032519938945770265,
+                    0.004668791770935058,
+                    0.0032734339237213135,
+                    0.004620471954345703,
+                    0.0032569539546966554,
+                    0.0046289520263671875,
+                    0.003268794059753418,
+                    0.004622712135314942,
+                    0.0032703940868377686,
+                    0.004610712051391601,
+                    0.0032766339778900148,
+                    0.00464959192276001,
+                    0.003272794008255005,
+                    0.004710552215576172,
+                    0.0032935938835144045,
+                    0.00465391206741333,
+                    0.0032935938835144045,
+                    0.0036857540607452394,
+                    0.005308310031890869,
+                    0.0038977530002593996,
+                    0.004839831829071045,
+                    0.003118393898010254,
+                    0.004478392124176026,
+                    0.003115834951400757,
+                    0.004457911968231201,
+                    0.0031155140399932862,
+                    0.004453433036804199,
+                    0.0031035139560699463,
+                    0.004462232112884521,
+                    0.003128154993057251,
+                    0.00450383186340332,
+                    0.00312239408493042,
+                    0.004482071876525879,
+                    0.003125915050506592,
+                    0.004501751899719238,
+                    0.003101274013519287,
+                    0.008227505683898927,
+                    0.003198873996734619,
+                    0.004470871925354004,
+                    0.0031137549877166748,
+                    0.0044729518890380855,
+                    0.0031475141048431395,
+                    0.004440792083740234,
+                    0.0031121549606323243,
+                    0.004574552059173584,
+                    0.0031403141021728517,
+                    0.004467351913452149,
+                    0.0031439950466156004,
+                    0.0044577522277832035,
+                    0.003127674102783203,
+                    0.004494391918182373,
+                    0.003121915102005005,
+                    0.004460311889648437,
+                    0.0031169540882110595,
+                    0.004454392910003662,
+                    0.0031075139045715332,
+                    0.004476791858673096,
+                    0.0031142349243164064,
+                    0.004463672161102295,
+                    0.0031177539825439455,
+                    0.004468472003936768,
+                    0.0031441550254821776,
+                    0.004459512233734131,
+                    0.0031171140670776367,
+                    0.0044558320045471195,
+                    0.0031177549362182617,
+                    0.004461751937866211,
+                    0.0031348750591278078,
+                    0.004523352146148681,
+                    0.0031396739482879637,
+                    0.004508312225341797,
+                    0.0031460740566253663,
+                    0.00458895206451416,
+                    0.0031236751079559326,
+                    0.004496312141418457,
+                    0.0031291139125823974,
+                    0.004522712230682373,
+                    0.003119354963302612,
+                    0.0044815921783447265,
+                    0.003120313882827759,
+                    0.0044929518699646,
+                    0.003138235092163086,
+                    0.00445855188369751,
+                    0.003163994073867798,
+                    0.004670711994171142,
+                    0.0032748739719390867,
+                    0.004623672008514404,
+                    0.0032865540981292726,
+                    0.004486551761627197,
+                    0.0031489551067352293,
+                    0.0044919919967651364,
+                    0.003121273994445801,
+                    0.0044939122200012204,
+                    0.003215675115585327,
+                    0.004505112171173096,
+                    0.003143834114074707,
+                    0.004502711772918701,
+                    0.0031417551040649415,
+                    0.004563511848449707,
+                    0.0031270339488983154,
+                    0.005469429969787598,
+                    0.003136315107345581,
+                    0.004530392169952393,
+                    0.0031529541015625,
+                    0.00450927209854126,
+                    0.003154875040054321,
+                    0.004491191864013672,
+                    0.003127513885498047,
+                    0.00450543212890625,
+                    0.0031247949600219727,
+                    0.004500792026519775,
+                    0.003156954050064087,
+                    0.004482071876525879,
+                    0.003125274896621704,
+                    0.00446287202835083,
+                    0.0031147139072418215,
+                    0.004469111919403076,
+                    0.0031255950927734375,
+                    0.004473591804504394,
+                    0.003129434108734131,
+                    0.004453113079071045,
+                    0.0031107139587402345,
+                    0.004469111919403076,
+                    0.00312383508682251,
+                    0.004461912155151368,
+                    0.0031155140399932862,
+                    0.004452951908111572,
+                    0.0031067149639129638,
+                    0.004562071800231934,
+                    0.0031087939739227297,
+                    0.004456952095031739,
+                    0.0031225550174713134,
+                    0.004439671993255615,
+                    0.003119035005569458,
+                    0.00444271183013916,
+                    0.003137434005737305,
+                    0.004463672161102295,
+                    0.003122075080871582,
+                    0.0044441518783569335,
+                    0.003122714042663574,
+                    0.0046031918525695804,
+                    0.003272154092788696,
+                    0.004660312175750732,
+                    0.0032574338912963866,
+                    0.004614712238311768,
+                    0.003270714044570923,
+                    0.004463832855224609,
+                    0.003120794057846069,
+                    0.004464151859283447,
+                    0.00312111496925354,
+                    0.004451672077178955,
+                    0.00311423397064209,
+                    0.004479991912841797,
+                    0.0031121549606323243,
+                    0.004450551986694336,
+                    0.0031188740730285643,
+                    0.004559351921081543,
+                    0.0031187150478363037,
+                    0.00446719217300415,
+                    0.003126394033432007,
+                    0.004460631847381592,
+                    0.0031335949897766113,
+                    0.004474071979522705,
+                    0.003128954887390137,
+                    0.004438231945037842,
+                    0.003126394033432007,
+                    0.004468472003936768,
+                    0.0031455950736999513,
+                    0.004475831985473633,
+                    0.003134393930435181,
+                    0.00446719217300415,
+                    0.003124315023422241,
+                    0.004485752105712891,
+                    0.003130713939666748,
+                    0.004481272220611572,
+                    0.0031227149963378906,
+                    0.004507991790771484,
+                    0.0032511940002441404,
+                    0.00462175178527832,
+                    0.0032855939865112306,
+                    0.004615032196044922,
+                    0.003265114068984985,
+                    0.0046356720924377445,
+                    0.0032590339183807375,
+                    0.004701111793518066,
+                    0.0032774341106414796,
+                    0.004613751888275146,
+                    0.0032644739151000976,
+                    0.004596312046051026,
+                    0.0032478339672088624,
+                    0.004601431846618652,
+                    0.0032694339752197266,
+                    0.0046027121543884275,
+                    0.0032708740234375,
+                    0.004603511810302734,
+                    0.003273435115814209,
+                    0.0046015911102294926,
+                    0.0032412750720977783,
+                    0.004597432136535644,
+                    0.0032692739963531493,
+                    0.004599351882934571,
+                    0.0032591938972473143,
+                    0.004634712219238281,
+                    0.0033150339126586915,
+                    0.004619351863861084,
+                    0.0032683138847351073,
+                    0.004612631797790527,
+                    0.0032561540603637694,
+                    0.004628312110900879,
+                    0.003249114036560059,
+                    0.004609752178192139,
+                    0.003259514093399048,
+                    0.0047119917869567875,
+                    0.0032838339805603026,
+                    0.004687511920928955,
+                    0.0034206340312957764,
+                    0.004620631217956543,
+                    0.0032619149684906005,
+                    0.004616150856018067,
+                    0.0032670350074768067,
+                    0.004604311943054199,
+                    0.0032847940921783446,
+                    0.004607992172241211,
+                    0.0032743940353393555,
+                    0.004612152099609375,
+                    0.003258713960647583,
+                    0.004587031841278076,
+                    0.0033041539192199708,
+                    0.004682712078094483,
+                    0.003273914098739624,
+                    0.0046473522186279296,
+                    0.0032582340240478514,
+                    0.0046551918983459475,
+                    0.0032518339157104493,
+                    0.004609591960906982,
+                    0.0032588739395141603,
+                    0.004635831832885742,
+                    0.0032467141151428223,
+                    0.0046289520263671875,
+                    0.0032539141178131105,
+                    0.00473087215423584,
+                    0.003288153886795044,
+                    0.004679512023925781,
+                    0.00328015398979187,
+                    0.004617591857910156,
+                    0.0032867140769958494,
+                    0.004630231857299804,
+                    0.003252474069595337,
+                    0.004634071826934814,
+                    0.0032748739719390867,
+                    0.004622712135314942,
+                    0.003268954038619995,
+                    0.004704951763153076,
+                    0.0032467141151428223,
+                    0.004610392093658447,
+                    0.0032519938945770265,
+                    0.004668791770935058,
+                    0.0032734339237213135,
+                    0.004620471954345703,
+                    0.0032569539546966554,
+                    0.0046289520263671875,
+                    0.003268794059753418,
+                    0.004622712135314942,
+                    0.0032703940868377686,
+                    0.004610712051391601,
+                    0.0032766339778900148,
+                    0.00464959192276001,
+                    0.003272794008255005,
+                    0.004710552215576172,
+                    0.0032935938835144045,
+                    0.00465391206741333,
+                    0.0032935938835144045,
+                    0.004788471221923828,
+                    0.003267674922943115
                 ],
-                "count": 15876,
-                "total": 63.235834780932166,
-                "mean": 0.003983108766750534,
-                "p50": 0.004352493762969971,
-                "p90": 0.004536173820495606,
-                "p95": 0.0046054539680480955,
-                "p99": 0.014792365074157715,
-                "stdev": 0.0016686495474021333,
-                "stdev_": 41.893145407712204
+                "count": 16641,
+                "total": 64.5578137633803,
+                "mean": 0.0038794431682819576,
+                "p50": 0.0038977530002593996,
+                "p90": 0.004603511810302734,
+                "p95": 0.00464959192276001,
+                "p99": 0.005469429969787598,
+                "stdev": 0.0007858897170273631,
+                "stdev_": 20.25779687798341
             },
             "throughput": null,
             "energy": null,