diff --git a/cpu_inference_transformers_text-generation_hf-internal-testing/tiny-random-LlamaForCausalLM/benchmark.json b/cpu_inference_transformers_text-generation_hf-internal-testing/tiny-random-LlamaForCausalLM/benchmark.json
index 80856c35190fee0b9f10b3957255afe909e62c3e..5b83883534c950ed82b3207f74e68611fa78d6dd 100644
--- a/cpu_inference_transformers_text-generation_hf-internal-testing/tiny-random-LlamaForCausalLM/benchmark.json
+++ b/cpu_inference_transformers_text-generation_hf-internal-testing/tiny-random-LlamaForCausalLM/benchmark.json
@@ -74,14 +74,14 @@
         "environment": {
             "cpu": " AMD EPYC 7763 64-Core Processor",
             "cpu_count": 4,
-            "cpu_ram_mb": 16766.410752,
+            "cpu_ram_mb": 16766.418944,
             "system": "Linux",
             "machine": "x86_64",
             "platform": "Linux-6.11.0-1012-azure-x86_64-with-glibc2.39",
             "processor": "x86_64",
             "python_version": "3.10.17",
             "optimum_benchmark_version": "0.6.0.dev0",
-            "optimum_benchmark_commit": "78d6fd7c05e4903fc03580f46bd45ef32863e57b",
+            "optimum_benchmark_commit": "6c55e136901463e52e5896aae120b784b1ec8138",
             "transformers_version": "4.51.3",
             "transformers_commit": null,
             "accelerate_version": "1.6.0",
@@ -102,7 +102,7 @@
         "load_model": {
             "memory": {
                 "unit": "MB",
-                "max_ram": 501.202944,
+                "max_ram": 503.25504,
                 "max_global_vram": null,
                 "max_process_vram": null,
                 "max_reserved": null,
@@ -111,32 +111,32 @@
             "latency": {
                 "unit": "s",
                 "values": [
-                    0.06026847100002897
+                    0.056826468999986446
                 ],
                 "count": 1,
-                "total": 0.06026847100002897,
-                "mean": 0.06026847100002897,
-                "p50": 0.06026847100002897,
-                "p90": 0.06026847100002897,
-                "p95": 0.06026847100002897,
-                "p99": 0.06026847100002897,
+                "total": 0.056826468999986446,
+                "mean": 0.056826468999986446,
+                "p50": 0.056826468999986446,
+                "p90": 0.056826468999986446,
+                "p95": 0.056826468999986446,
+                "p99": 0.056826468999986446,
                 "stdev": 0,
                 "stdev_": 0
             },
             "throughput": null,
             "energy": {
                 "unit": "kWh",
-                "cpu": 9.330364930680896e-05,
-                "ram": 1.2659992905555523e-05,
+                "cpu": 8.98322643869463e-05,
+                "ram": 1.234844653888874e-05,
                 "gpu": 0,
-                "total": 0.00010596364221236448
+                "total": 0.00010218071092583503
             },
             "efficiency": null
         },
         "first_generate": {
             "memory": {
                 "unit": "MB",
-                "max_ram": 507.150336,
+                "max_ram": 510.79168,
                 "max_global_vram": null,
                 "max_process_vram": null,
                 "max_reserved": null,
@@ -145,25 +145,25 @@
             "latency": {
                 "unit": "s",
                 "values": [
-                    0.008782550000034917
+                    0.008525618999954077
                 ],
                 "count": 1,
-                "total": 0.008782550000034917,
-                "mean": 0.008782550000034917,
-                "p50": 0.008782550000034917,
-                "p90": 0.008782550000034917,
-                "p95": 0.008782550000034917,
-                "p99": 0.008782550000034917,
+                "total": 0.008525618999954077,
+                "mean": 0.008525618999954077,
+                "p50": 0.008525618999954077,
+                "p90": 0.008525618999954077,
+                "p95": 0.008525618999954077,
+                "p99": 0.008525618999954077,
                 "stdev": 0,
                 "stdev_": 0
             },
             "throughput": null,
             "energy": {
                 "unit": "kWh",
-                "cpu": 9.84416152537993e-05,
-                "ram": 1.2877689086111054e-05,
+                "cpu": 8.97196206573335e-05,
+                "ram": 1.2323558491666615e-05,
                 "gpu": 0,
-                "total": 0.00011131930433991035
+                "total": 0.00010204317914900013
             },
             "efficiency": null
         },
@@ -172,165 +172,165 @@
             "latency": {
                 "unit": "s",
                 "values": [
-                    0.00798932899999727,
-                    0.007926110999960656,
-                    0.008011910999982774,
-                    0.007831755999973211,
-                    0.007935138999982883,
-                    0.008050414000024375,
-                    0.007889443000010488,
-                    0.007997756000008849,
-                    0.00783686500000158,
-                    0.007770290999985718,
-                    0.007722892999993292,
-                    0.007786581000004844,
-                    0.00785484800002223,
-                    0.007765931999983877,
-                    0.007880355999986932,
-                    0.007835042000010617,
-                    0.007892277999985708,
-                    0.008243903999982649,
-                    0.00805737599995382,
-                    0.008117387999959647,
-                    0.008090428999992128,
-                    0.00805507199999056,
-                    0.007978488999981437,
-                    0.007866690000014387,
-                    0.008151010999995378,
-                    0.007890324999948461,
-                    0.008158375999983036,
-                    0.007944194999993215,
-                    0.007916292999993857,
-                    0.007814182000004166,
-                    0.007766022999987854,
-                    0.007737870999960705,
-                    0.007827707999979339,
-                    0.00776706499999591,
-                    0.007905532999984644,
-                    0.007978799999989405,
-                    0.0089121919999684,
-                    0.007822949000001245,
-                    0.00779245199998968,
-                    0.007718754000052286,
-                    0.007739653999976781,
-                    0.007829780999998093,
-                    0.007205426000041371,
-                    0.007620210999959909,
-                    0.0082518099999902,
-                    0.008153787000026114,
-                    0.008176819999960117,
-                    0.008164346000000933,
-                    0.008186828000020796,
-                    0.008214168999984395,
-                    0.006682670999964557,
-                    0.008243273000005047,
-                    0.007468196999980137,
-                    0.0074987030000102095,
-                    0.008073647000003348,
-                    0.00752173699999048,
-                    0.007525994999980412,
-                    0.008090428000002703,
-                    0.007014299999980267,
-                    0.006954457999995611,
-                    0.008018063000008624,
-                    0.008060833000001821,
-                    0.007460382000033405,
-                    0.008016811000004509,
-                    0.008151231999988795,
-                    0.008048158999997668,
-                    0.007231044999969072,
-                    0.007911244000013085,
-                    0.008135531999982959,
-                    0.006230117000029622,
-                    0.00814349699999184,
-                    0.00759415199996738,
-                    0.008138777999988633,
-                    0.008074448000002121,
-                    0.008077314000047409,
-                    0.00791430900000023,
-                    0.007621222000011585,
-                    0.007877842000027613,
-                    0.008101518999978907,
-                    0.008146592999992208,
-                    0.007813562000023921,
-                    0.007333264999999756,
-                    0.007026894000034645,
-                    0.007588983000005101,
-                    0.0074926419999883365,
-                    0.008238054000003103,
-                    0.008127357000034863,
-                    0.008085268000002088,
-                    0.008052977999966515,
-                    0.00802582699998311,
-                    0.00793781299995544,
-                    0.007683488999987276,
-                    0.007974020999995446,
-                    0.008095588000003318,
-                    0.008038351000038801,
-                    0.006984473999978036,
-                    0.007037704000026679,
-                    0.007918738000000758,
-                    0.0069601989999910074,
-                    0.007345148000013069,
-                    0.008300610999981473,
-                    0.007716990999995232,
-                    0.008383535000007214,
-                    0.008269492000010814,
-                    0.008210282000050029,
-                    0.008312090999993416,
-                    0.007561109999983273,
-                    0.007962709999958406,
-                    0.008217674999968949,
-                    0.00773401300000387,
-                    0.008255867000002581,
-                    0.00725682299997743,
-                    0.007597848999978396,
-                    0.008102941999993618,
-                    0.0075769800000102805,
-                    0.0063843139999448795,
-                    0.00689686100002973,
-                    0.0075050359999977445,
-                    0.008036778000018785,
-                    0.007923446000006606,
-                    0.007038794999971287,
-                    0.0079590029999963,
-                    0.008066643999995904,
-                    0.008054750999974658,
-                    0.008007193000025836,
-                    0.0074769430000287684,
-                    0.008172680999962267,
-                    0.007355106000034084
+                    0.008259651000003032,
+                    0.007805308999991212,
+                    0.007685776000016631,
+                    0.007682449000014913,
+                    0.007745286999977452,
+                    0.007761657000003197,
+                    0.007771987000012359,
+                    0.007769461999998839,
+                    0.007906429000001935,
+                    0.008067068999991989,
+                    0.00843845499997542,
+                    0.008340152000016587,
+                    0.00813522800001465,
+                    0.008351752999999462,
+                    0.008354226999983894,
+                    0.008079823000002762,
+                    0.007895417999975507,
+                    0.007783227999993869,
+                    0.007791353000015988,
+                    0.008320765000007668,
+                    0.007836447999977736,
+                    0.007777508000003763,
+                    0.007771286000036071,
+                    0.007747470999959205,
+                    0.00763939900002697,
+                    0.007608990999983689,
+                    0.0077495250000083615,
+                    0.00769204699997772,
+                    0.007692618000021412,
+                    0.007899235000024873,
+                    0.007753833000037957,
+                    0.007726130999969882,
+                    0.007606356999986019,
+                    0.00783710900003598,
+                    0.008037183999988429,
+                    0.008004312000025493,
+                    0.007949209000003066,
+                    0.006991895999988174,
+                    0.007964136999987659,
+                    0.007928771000024426,
+                    0.007891069999971023,
+                    0.007557625999993434,
+                    0.006986675999996805,
+                    0.00804555999997092,
+                    0.0089168020000443,
+                    0.007373070000028292,
+                    0.008150546000024406,
+                    0.008392279000020153,
+                    0.00764394700001958,
+                    0.008543631999998524,
+                    0.008357844999977715,
+                    0.008304543999997804,
+                    0.007494065999992472,
+                    0.00726231200002303,
+                    0.008148723000033442,
+                    0.008157097999969665,
+                    0.008143071999995755,
+                    0.007468659000039679,
+                    0.007992238999975143,
+                    0.008334170000011909,
+                    0.008016295000004448,
+                    0.00801196700001583,
+                    0.007590837000009287,
+                    0.007476794000012887,
+                    0.00766691000001174,
+                    0.008185711999999512,
+                    0.008131390000016836,
+                    0.008050088000004507,
+                    0.007945501999984117,
+                    0.007415778999984468,
+                    0.007981258999961938,
+                    0.008014892000005602,
+                    0.007973103999972864,
+                    0.00795661300003303,
+                    0.007884076999971512,
+                    0.006859958000006827,
+                    0.007980046999989554,
+                    0.007933309000009103,
+                    0.007940001000008579,
+                    0.007798757000045953,
+                    0.008008189999998194,
+                    0.00801855899999282,
+                    0.007106760999988637,
+                    0.007983604000003197,
+                    0.008208585000033963,
+                    0.00801681500001905,
+                    0.007989194000003863,
+                    0.007559028000002854,
+                    0.007944510000015725,
+                    0.00703727100000151,
+                    0.008005405000005794,
+                    0.007948266999960651,
+                    0.007888806000039494,
+                    0.007898243999989063,
+                    0.007934340999952383,
+                    0.008054226000012932,
+                    0.008048134000034679,
+                    0.007580328000017289,
+                    0.007952305000003435,
+                    0.008072569999967527,
+                    0.0066017259999853195,
+                    0.008053715000016837,
+                    0.007986748999996962,
+                    0.007496700999979566,
+                    0.00808899100002236,
+                    0.006600303000027452,
+                    0.006869477000009283,
+                    0.007936404999952629,
+                    0.007946754999977657,
+                    0.007953396999994311,
+                    0.007440916999996716,
+                    0.006860448999987057,
+                    0.00738529200003768,
+                    0.007405812000001788,
+                    0.007920404999993025,
+                    0.00796643099999983,
+                    0.007949379000024237,
+                    0.007934230999978809,
+                    0.00793741699999373,
+                    0.008061167999983354,
+                    0.007318967999992765,
+                    0.007914544000016122,
+                    0.008039588000031017,
+                    0.007826509000040005,
+                    0.007056316000046081,
+                    0.007928289999995286,
+                    0.007937807000018893,
+                    0.007931736999978511
                 ],
                 "count": 128,
-                "total": 1.0011562319994596,
-                "mean": 0.007821533062495778,
-                "p50": 0.007917515499997307,
-                "p90": 0.008193864200029566,
-                "p95": 0.008249042899987558,
-                "p99": 0.008364245120003489,
-                "stdev": 0.00040729117941331596,
-                "stdev_": 5.207306242382017
+                "total": 1.0027407940003172,
+                "mean": 0.007833912453127478,
+                "p50": 0.007933769999993956,
+                "p90": 0.008192573900009848,
+                "p95": 0.008347692650005456,
+                "p99": 0.008515234209992287,
+                "stdev": 0.00037677925648244937,
+                "stdev_": 4.809592381033443
             },
             "throughput": {
                 "unit": "samples/s",
-                "value": 255.70434645223102
+                "value": 255.30027453926346
             },
             "energy": {
                 "unit": "kWh",
-                "cpu": 1.2061631555555708e-07,
-                "ram": 4.306776645299264e-08,
+                "cpu": 1.216336690624944e-07,
+                "ram": 4.343149136284543e-08,
                 "gpu": 0.0,
-                "total": 1.6368408200854956e-07
+                "total": 1.6506516042533987e-07
             },
             "efficiency": {
                 "unit": "samples/kWh",
-                "value": 12218659.111247823
+                "value": 12116427.202726489
             }
         },
         "prefill": {
             "memory": {
                 "unit": "MB",
-                "max_ram": 507.998208,
+                "max_ram": 511.44704,
                 "max_global_vram": null,
                 "max_process_vram": null,
                 "max_reserved": null,
@@ -339,165 +339,165 @@
             "latency": {
                 "unit": "s",
                 "values": [
-                    0.004466645000036351,
-                    0.00446563299999525,
-                    0.00446938999999702,
-                    0.004396535000012136,
-                    0.004474200000004203,
-                    0.004586259000006976,
-                    0.004487384000015027,
-                    0.004597110000020166,
-                    0.0043517610000094464,
-                    0.004409318999989864,
-                    0.0043257830000129616,
-                    0.004367110000032426,
-                    0.004403618000026199,
-                    0.004338356000005206,
-                    0.0044491329999800655,
-                    0.004418496000027972,
-                    0.004435045999969134,
-                    0.004704308999976092,
-                    0.004565018999983295,
-                    0.004580898999961391,
-                    0.004595225999992181,
-                    0.00447847800001,
-                    0.004462326999998822,
-                    0.004434675000027255,
-                    0.00460805000000164,
-                    0.004417142999955104,
-                    0.004671828999960326,
-                    0.004459060999977282,
-                    0.0044333739999729005,
-                    0.004411852999965049,
-                    0.0043913750000115215,
-                    0.004317557999968358,
-                    0.004356279999967683,
-                    0.004355819000011252,
-                    0.004352962999973897,
-                    0.004481663000035496,
-                    0.005407941999976629,
-                    0.004407194999998865,
-                    0.004396333999977742,
-                    0.004327716000034343,
-                    0.004341522000004261,
-                    0.004366037000011147,
-                    0.00456716299999016,
-                    0.004429155999957857,
-                    0.004457008000031237,
-                    0.004437300999995841,
-                    0.004449283999974796,
-                    0.0044997869999860995,
-                    0.0045057590000396885,
-                    0.004525946000001113,
-                    0.004166085000008479,
-                    0.004520415999991201,
-                    0.004337643999974716,
-                    0.0038267909999945005,
-                    0.004395153000018581,
-                    0.0038013239999941106,
-                    0.004402355000024727,
-                    0.004419648000009602,
-                    0.003322079999975358,
-                    0.004356559000029847,
-                    0.004357030999983635,
-                    0.004343936999987363,
-                    0.0043327449999992496,
-                    0.004410530999962248,
-                    0.004388209000012466,
-                    0.004421761999992668,
-                    0.00407709899997144,
-                    0.004357332000040515,
-                    0.004402346000006219,
-                    0.0033250150000299072,
-                    0.0044898089999492186,
-                    0.0039048979999734,
-                    0.004418385000008129,
-                    0.004443300999980693,
-                    0.004424958000015522,
-                    0.0042855269999790835,
-                    0.0038943069999959334,
-                    0.004387839000003169,
-                    0.004418575999977747,
-                    0.004489467999974295,
-                    0.004061780000029103,
-                    0.004513242999962586,
-                    0.004479209000010087,
-                    0.00433365800000729,
-                    0.003859161999969274,
-                    0.004522981000036452,
-                    0.004456566000044404,
-                    0.004384862999984307,
-                    0.004351550999956544,
-                    0.004373140999973657,
-                    0.004341340999985732,
-                    0.003965850999975373,
-                    0.004230365000012171,
-                    0.004381686999977319,
-                    0.004317067000044972,
-                    0.003277866999951584,
-                    0.003373486000043613,
-                    0.004354737000028308,
-                    0.0033888240000123915,
-                    0.003612372000020514,
-                    0.004581540999993194,
-                    0.004542496999988543,
-                    0.004553848000000471,
-                    0.004546965000031378,
-                    0.004480451000006269,
-                    0.0046192100000439495,
-                    0.00391258199999811,
-                    0.004482755999958954,
-                    0.0045215879999886965,
-                    0.004517329999998765,
-                    0.004541033999998945,
-                    0.00356713700000455,
-                    0.004544119999991381,
-                    0.004421902999979466,
-                    0.004497141999991072,
-                    0.0034656869999594164,
-                    0.004349837999995998,
-                    0.0038210310000295067,
-                    0.004359244999989187,
-                    0.004372939999996106,
-                    0.003299696999988555,
-                    0.004344718000027115,
-                    0.00436750099999017,
-                    0.004373581999971066,
-                    0.00435937500003547,
-                    0.003884588999994776,
-                    0.0044804309999904035,
-                    0.004247646999999688
+                    0.004648376999966786,
+                    0.0044118339999954514,
+                    0.004370927000024949,
+                    0.0043052930000158085,
+                    0.0043548059999807265,
+                    0.00440279700001156,
+                    0.004396895000013501,
+                    0.00433381699997426,
+                    0.004464072000018859,
+                    0.0044999579999966954,
+                    0.0047650539999608554,
+                    0.004754556000023058,
+                    0.004598223000016333,
+                    0.004729237999981706,
+                    0.004793898999992052,
+                    0.0045563640000523264,
+                    0.004454873999975462,
+                    0.004379251999978351,
+                    0.0043801340000300115,
+                    0.004857919000016864,
+                    0.004452138999965882,
+                    0.004394712000021173,
+                    0.0044141079999917565,
+                    0.00436660899998742,
+                    0.004291148000049816,
+                    0.004299141999979383,
+                    0.004283392999980151,
+                    0.004327925999973559,
+                    0.004333626999994067,
+                    0.004518813999993654,
+                    0.0043463009999982205,
+                    0.004388961000017844,
+                    0.004286277999995036,
+                    0.004427603000010549,
+                    0.004272172000014507,
+                    0.004388769999991382,
+                    0.004335070000024643,
+                    0.004327273999990666,
+                    0.004355809000003319,
+                    0.004322967000007338,
+                    0.004275618999997732,
+                    0.00431345900000224,
+                    0.0037490320000301836,
+                    0.004368553000006159,
+                    0.005246627000019544,
+                    0.004291348000037942,
+                    0.00436075800001845,
+                    0.004494528000009268,
+                    0.003700130000027002,
+                    0.004723706999982369,
+                    0.00455315800002154,
+                    0.0045455740000193146,
+                    0.00427080899999055,
+                    0.0045223999999848274,
+                    0.0044387039999946865,
+                    0.004472647000000052,
+                    0.004475291999995079,
+                    0.0038546100000189654,
+                    0.004376716999956898,
+                    0.004594376000000011,
+                    0.004446447999953307,
+                    0.0043858850000333405,
+                    0.00397220899998274,
+                    0.0038534469999831344,
+                    0.0038861590000465185,
+                    0.004511880999984896,
+                    0.004452259000004233,
+                    0.004393348999997215,
+                    0.004310994999968898,
+                    0.0038477359999546934,
+                    0.004385353999964536,
+                    0.004369043999986388,
+                    0.0043461109999611836,
+                    0.0043294390000028216,
+                    0.004263865999973859,
+                    0.00434186199998976,
+                    0.004324419999989004,
+                    0.004310603000021729,
+                    0.004297969999981888,
+                    0.00432142400001112,
+                    0.004364905999977964,
+                    0.0043918860000076165,
+                    0.0037585799999533265,
+                    0.004312708000043131,
+                    0.004539402000034443,
+                    0.004384191000042392,
+                    0.0043612879999841425,
+                    0.004340829999989637,
+                    0.004336541999975907,
+                    0.0043994000000111555,
+                    0.0043164749999959895,
+                    0.004320721999988564,
+                    0.004304954000019734,
+                    0.0042948749999709435,
+                    0.0043159039999522975,
+                    0.0043685830000299575,
+                    0.004395152000029157,
+                    0.003968321999991531,
+                    0.0043417119999844545,
+                    0.0044043390000183535,
+                    0.0034836250000012114,
+                    0.004422814000008657,
+                    0.004353924999975334,
+                    0.0038655799999673945,
+                    0.004438032000052772,
+                    0.003830685000025369,
+                    0.004346280999982355,
+                    0.0043246299999850635,
+                    0.004310122999982013,
+                    0.004324439000015445,
+                    0.003795007999997324,
+                    0.0032387360000143417,
+                    0.003770502000008946,
+                    0.0038035449999824777,
+                    0.004319731000009597,
+                    0.004342424000014944,
+                    0.004306214999985514,
+                    0.004320982999956868,
+                    0.004305695000027754,
+                    0.004410479999990002,
+                    0.004277471999955651,
+                    0.004317436999997426,
+                    0.004385273000025336,
+                    0.00422337000003381,
+                    0.00431304800002863,
+                    0.004311656000027142,
+                    0.004336491999993086,
+                    0.004319451000014851
                 ],
                 "count": 128,
-                "total": 0.5533950949997006,
-                "mean": 0.004323399179685161,
-                "p50": 0.004402986500025463,
-                "p90": 0.004549029900022106,
-                "p95": 0.004592087549997359,
-                "p99": 0.0046955393999718355,
-                "stdev": 0.0003195640673740342,
-                "stdev_": 7.391500393385038
+                "total": 0.5535880439999801,
+                "mean": 0.004324906593749844,
+                "p50": 0.004344267499988064,
+                "p90": 0.0045412536000299045,
+                "p95": 0.004697341499976914,
+                "p99": 0.004840633600010165,
+                "stdev": 0.00025561334341393164,
+                "stdev_": 5.910262750722346
             },
             "throughput": {
                 "unit": "samples/s",
-                "value": 462.59896828348013
+                "value": 462.4377328496083
             },
             "energy": {
                 "unit": "kWh",
-                "cpu": 7.431369007407226e-08,
-                "ram": 2.653518079364976e-08,
+                "cpu": 7.362602780922236e-08,
+                "ram": 2.62895946540881e-08,
                 "gpu": 0.0,
-                "total": 1.008488708677221e-07
+                "total": 9.991562246331033e-08
             },
             "efficiency": {
                 "unit": "samples/kWh",
-                "value": 19831654.859312106
+                "value": 20016889.75850011
             }
         },
         "decode": {
             "memory": {
                 "unit": "MB",
-                "max_ram": 507.998208,
+                "max_ram": 511.44704,
                 "max_global_vram": null,
                 "max_process_vram": null,
                 "max_reserved": null,
@@ -506,159 +506,159 @@
             "latency": {
                 "unit": "s",
                 "values": [
-                    0.0035226839999609183,
-                    0.0034604779999654056,
-                    0.0035425209999857543,
-                    0.003435220999961075,
-                    0.00346093899997868,
-                    0.0034641550000173993,
-                    0.003402058999995461,
-                    0.003400645999988683,
-                    0.003485103999992134,
-                    0.0033609719999958543,
-                    0.00339710999998033,
-                    0.003419470999972418,
-                    0.0034512299999960305,
-                    0.0034275759999786715,
-                    0.0034312230000068666,
-                    0.0034165459999826453,
-                    0.0034572320000165746,
-                    0.003539595000006557,
-                    0.003492356999970525,
-                    0.003536488999998255,
-                    0.0034952029999999468,
-                    0.0035765939999805596,
-                    0.0035161619999826144,
-                    0.003432014999987132,
-                    0.0035429609999937384,
-                    0.0034731819999933577,
-                    0.0034865470000227106,
-                    0.0034851340000159325,
-                    0.0034829190000209564,
-                    0.003402329000039117,
-                    0.0033746479999763324,
-                    0.0034203129999923476,
-                    0.003471428000011656,
-                    0.003411245999984658,
-                    0.0035525700000107463,
-                    0.0034971369999539093,
-                    0.003504249999991771,
-                    0.00341575400000238,
-                    0.0033961180000119384,
-                    0.003391038000017943,
-                    0.00339813199997252,
-                    0.0034637439999869457,
-                    0.002638263000051211,
-                    0.003191055000002052,
-                    0.0037948019999589633,
-                    0.0037164860000302724,
-                    0.003727535999985321,
-                    0.003664559000014833,
-                    0.0036810689999811075,
-                    0.0036882229999832816,
-                    0.002516585999956078,
-                    0.003722857000013846,
-                    0.0031305530000054205,
-                    0.003671912000015709,
-                    0.0036784939999847666,
-                    0.0037204129999963698,
-                    0.003123639999955685,
-                    0.0036707799999931012,
-                    0.003692220000004909,
-                    0.0025978989999657642,
-                    0.0036610320000249885,
-                    0.003716896000014458,
-                    0.003127637000034156,
-                    0.0036062800000422612,
-                    0.0037630229999763287,
-                    0.0036263970000049994,
-                    0.0031539459999976316,
-                    0.00355391199997257,
-                    0.0037331859999767403,
-                    0.002905101999999715,
-                    0.003653688000042621,
-                    0.00368925399999398,
-                    0.003720392999980504,
-                    0.0036311470000214285,
-                    0.0036523560000318867,
-                    0.003628782000021147,
-                    0.0037269150000156515,
-                    0.003490003000024444,
-                    0.00368294300000116,
-                    0.0036571250000179134,
-                    0.0037517819999948188,
-                    0.00282002200003717,
-                    0.0025476850000245577,
-                    0.0032553249999978107,
-                    0.0036334800000190626,
-                    0.003715072999966651,
-                    0.0036707909999904587,
-                    0.0037004050000177813,
-                    0.0037014270000099714,
-                    0.003652686000009453,
-                    0.003596471999969708,
-                    0.0037176380000119025,
-                    0.0037436559999832753,
-                    0.0037139010000259987,
-                    0.0037212839999938296,
-                    0.0037066070000264517,
-                    0.003664217999983066,
-                    0.00356400099997245,
-                    0.003571374999978616,
-                    0.0037327759999925547,
-                    0.003719069999988278,
-                    0.003174494000006689,
-                    0.003829687000006743,
-                    0.0037225269999794364,
-                    0.0037298310000437596,
-                    0.003692880999949466,
-                    0.0036485279999851628,
-                    0.003479953999999452,
-                    0.0036960869999802526,
-                    0.003216683000005105,
-                    0.0037148330000036367,
-                    0.0036896859999728804,
-                    0.0030537289999870154,
-                    0.0036810390000141524,
-                    0.0030798380000192083,
-                    0.002918626999985463,
-                    0.0025470230000337324,
-                    0.003684004999968238,
-                    0.003677533000029598,
-                    0.0035505060000105004,
-                    0.0037390979999827323,
-                    0.003614284999969186,
-                    0.0036991430000057335,
-                    0.0036811690000035924,
-                    0.003647817999990366,
-                    0.0035923540000339926,
-                    0.003692249999971864,
-                    0.003107459000034396
+                    0.0036112740000362464,
+                    0.0033934749999957603,
+                    0.003314848999991682,
+                    0.003377155999999104,
+                    0.0033904809999967256,
+                    0.003358859999991637,
+                    0.0033750919999988582,
+                    0.0034356450000245786,
+                    0.003442356999983076,
+                    0.0035671109999952932,
+                    0.0036734010000145645,
+                    0.0035855959999935294,
+                    0.0035370049999983166,
+                    0.0036225150000177564,
+                    0.0035603279999918414,
+                    0.003523458999950435,
+                    0.0034405440000000453,
+                    0.0034039760000155184,
+                    0.0034112189999859766,
+                    0.0034628459999908046,
+                    0.0033843090000118536,
+                    0.0033827959999825907,
+                    0.003357178000044314,
+                    0.003380861999971785,
+                    0.0033482509999771537,
+                    0.0033098490000043057,
+                    0.0034661320000282103,
+                    0.003364121000004161,
+                    0.003358991000027345,
+                    0.0033804210000312196,
+                    0.003407532000039737,
+                    0.0033371699999520388,
+                    0.003320078999990983,
+                    0.0034095060000254307,
+                    0.0037650119999739218,
+                    0.003615542000034111,
+                    0.0036141389999784224,
+                    0.0026646219999975074,
+                    0.00360832799998434,
+                    0.0036058040000170877,
+                    0.003615450999973291,
+                    0.0032441669999911937,
+                    0.0032376439999666218,
+                    0.0036770069999647603,
+                    0.0036701750000247557,
+                    0.00308172199999035,
+                    0.003789788000005956,
+                    0.003897751000010885,
+                    0.003943816999992578,
+                    0.0038199250000161555,
+                    0.003804686999956175,
+                    0.00375896999997849,
+                    0.0032232570000019223,
+                    0.0027399120000382027,
+                    0.0037100190000387556,
+                    0.003684450999969613,
+                    0.0036677800000006755,
+                    0.0036140490000207137,
+                    0.0036155220000182453,
+                    0.003739794000011898,
+                    0.0035698470000511406,
+                    0.003626081999982489,
+                    0.003618628000026547,
+                    0.003623347000029753,
+                    0.003780750999965221,
+                    0.0036738310000146157,
+                    0.003679131000012603,
+                    0.003656739000007292,
+                    0.003634507000015219,
+                    0.0035680430000297747,
+                    0.0035959049999974013,
+                    0.003645848000019214,
+                    0.00362699300001168,
+                    0.003627174000030209,
+                    0.003620210999997653,
+                    0.002518096000017067,
+                    0.0036556270000005497,
+                    0.0036227059999873745,
+                    0.003642031000026691,
+                    0.0034773330000348324,
+                    0.0036432840000202305,
+                    0.003626672999985203,
+                    0.0033481810000353107,
+                    0.0036708959999600665,
+                    0.0036691829999995207,
+                    0.0036326239999766585,
+                    0.0036279060000197205,
+                    0.003218198000013217,
+                    0.0036079680000398184,
+                    0.002637870999990355,
+                    0.0036889300000098046,
+                    0.0036275449999720877,
+                    0.0035838520000197605,
+                    0.0036033690000181196,
+                    0.0036184370000000854,
+                    0.0036856429999829743,
+                    0.0036529820000055224,
+                    0.003612006000025758,
+                    0.00361059300001898,
+                    0.0036682309999491736,
+                    0.003118100999984108,
+                    0.00363090100000818,
+                    0.0036328240000216283,
+                    0.003631121000012172,
+                    0.003650958999969589,
+                    0.002769618000002083,
+                    0.0025231960000269282,
+                    0.0036117749999675652,
+                    0.003636631999995643,
+                    0.0036289579999788657,
+                    0.003645908999999392,
+                    0.003621712999972715,
+                    0.0036147900000287336,
+                    0.0036022670000193102,
+                    0.003600673999983428,
+                    0.0036240069999848856,
+                    0.0036431640000387233,
+                    0.0036132480000219402,
+                    0.0036317219999659756,
+                    0.0036506879999933517,
+                    0.003041496000037114,
+                    0.0035971070000186955,
+                    0.003654315000005681,
+                    0.0036031390000061947,
+                    0.0027432680000174514,
+                    0.003616633999968144,
+                    0.0036013150000258065,
+                    0.0036122859999636603
                 ],
                 "count": 128,
-                "total": 0.44776113699975895,
-                "mean": 0.0034981338828106168,
-                "p50": 0.00355895649997251,
-                "p90": 0.0037216568999895116,
-                "p95": 0.0037330424999822754,
-                "p99": 0.003786221669963652,
-                "stdev": 0.0002717488127750923,
-                "stdev_": 7.768393717302567
+                "total": 0.44915275000033716,
+                "mean": 0.003509005859377634,
+                "p50": 0.003612145999994709,
+                "p90": 0.003680726999999706,
+                "p95": 0.0037628972999755204,
+                "p99": 0.003876737980012308,
+                "stdev": 0.0002576434861781753,
+                "stdev_": 7.342349842182126
             },
             "throughput": {
                 "unit": "tokens/s",
-                "value": 571.7334061534193
+                "value": 569.9620006775152
             },
             "energy": {
                 "unit": "kWh",
-                "cpu": 4.630262548148482e-08,
-                "ram": 1.653258565934288e-08,
+                "cpu": 4.800764125327203e-08,
+                "ram": 1.7141896708757332e-08,
                 "gpu": 0.0,
-                "total": 6.283521114082746e-08
+                "total": 6.514953796202954e-08
             },
             "efficiency": {
                 "unit": "tokens/kWh",
-                "value": 31829287.491651174
+                "value": 30698606.04637964
             }
         },
         "per_token": {
@@ -666,16400 +666,16400 @@
             "latency": {
                 "unit": "s",
                 "values": [
-                    0.0032739700000092853,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0036364260000141257,
-                    0.00270751300001848,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0036364260000141257,
-                    0.00270751300001848,
-                    0.004577311999980793,
-                    0.0023951100000090264,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0036364260000141257,
-                    0.00270751300001848,
-                    0.004577311999980793,
-                    0.0023951100000090264,
-                    0.003987261000020226,
-                    0.003522913999972843,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0036364260000141257,
-                    0.00270751300001848,
-                    0.004577311999980793,
-                    0.0023951100000090264,
-                    0.003987261000020226,
-                    0.003522913999972843,
-                    0.004534030999991501,
-                    0.0035154810000221914,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0036364260000141257,
-                    0.00270751300001848,
-                    0.004577311999980793,
-                    0.0023951100000090264,
-                    0.003987261000020226,
-                    0.003522913999972843,
-                    0.004534030999991501,
-                    0.0035154810000221914,
-                    0.004548657999976058,
-                    0.003390297000009923,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0036364260000141257,
-                    0.00270751300001848,
-                    0.004577311999980793,
-                    0.0023951100000090264,
-                    0.003987261000020226,
-                    0.003522913999972843,
-                    0.004534030999991501,
-                    0.0035154810000221914,
-                    0.004548657999976058,
-                    0.003390297000009923,
-                    0.003486316000021361,
-                    0.0035809830000061993,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0036364260000141257,
-                    0.00270751300001848,
-                    0.004577311999980793,
-                    0.0023951100000090264,
-                    0.003987261000020226,
-                    0.003522913999972843,
-                    0.004534030999991501,
-                    0.0035154810000221914,
-                    0.004548657999976058,
-                    0.003390297000009923,
-                    0.003486316000021361,
-                    0.0035809830000061993,
-                    0.0045165189999920585,
-                    0.003457381999965037,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0036364260000141257,
-                    0.00270751300001848,
-                    0.004577311999980793,
-                    0.0023951100000090264,
-                    0.003987261000020226,
-                    0.003522913999972843,
-                    0.004534030999991501,
-                    0.0035154810000221914,
-                    0.004548657999976058,
-                    0.003390297000009923,
-                    0.003486316000021361,
-                    0.0035809830000061993,
-                    0.0045165189999920585,
-                    0.003457381999965037,
-                    0.004539221000015914,
-                    0.003540567000015926,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0036364260000141257,
-                    0.00270751300001848,
-                    0.004577311999980793,
-                    0.0023951100000090264,
-                    0.003987261000020226,
-                    0.003522913999972843,
-                    0.004534030999991501,
-                    0.0035154810000221914,
-                    0.004548657999976058,
-                    0.003390297000009923,
-                    0.003486316000021361,
-                    0.0035809830000061993,
-                    0.0045165189999920585,
-                    0.003457381999965037,
-                    0.004539221000015914,
-                    0.003540567000015926,
-                    0.0045475069999838524,
-                    0.003523265000012543,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0036364260000141257,
-                    0.00270751300001848,
-                    0.004577311999980793,
-                    0.0023951100000090264,
-                    0.003987261000020226,
-                    0.003522913999972843,
-                    0.004534030999991501,
-                    0.0035154810000221914,
-                    0.004548657999976058,
-                    0.003390297000009923,
-                    0.003486316000021361,
-                    0.0035809830000061993,
-                    0.0045165189999920585,
-                    0.003457381999965037,
-                    0.004539221000015914,
-                    0.003540567000015926,
-                    0.0045475069999838524,
-                    0.003523265000012543,
-                    0.004532528000027014,
-                    0.0034925779999639417,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0036364260000141257,
-                    0.00270751300001848,
-                    0.004577311999980793,
-                    0.0023951100000090264,
-                    0.003987261000020226,
-                    0.003522913999972843,
-                    0.004534030999991501,
-                    0.0035154810000221914,
-                    0.004548657999976058,
-                    0.003390297000009923,
-                    0.003486316000021361,
-                    0.0035809830000061993,
-                    0.0045165189999920585,
-                    0.003457381999965037,
-                    0.004539221000015914,
-                    0.003540567000015926,
-                    0.0045475069999838524,
-                    0.003523265000012543,
-                    0.004532528000027014,
-                    0.0034925779999639417,
-                    0.004055397999991328,
-                    0.0034390380000104415,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0036364260000141257,
-                    0.00270751300001848,
-                    0.004577311999980793,
-                    0.0023951100000090264,
-                    0.003987261000020226,
-                    0.003522913999972843,
-                    0.004534030999991501,
-                    0.0035154810000221914,
-                    0.004548657999976058,
-                    0.003390297000009923,
-                    0.003486316000021361,
-                    0.0035809830000061993,
-                    0.0045165189999920585,
-                    0.003457381999965037,
-                    0.004539221000015914,
-                    0.003540567000015926,
-                    0.0045475069999838524,
-                    0.003523265000012543,
-                    0.004532528000027014,
-                    0.0034925779999639417,
-                    0.004055397999991328,
-                    0.0034390380000104415,
-                    0.0046479540000063935,
-                    0.0035214110000083565,
-                    0.0032739700000092853,
-                    0.00473016699999107,
-                    0.0032084079999776804,
-                    0.004735707000008915,
-                    0.0033051890000024287,
-                    0.004647813000019596,
-                    0.003189421999991282,
-                    0.00473542700001417,
-                    0.0032291159999999763,
-                    0.004854659999978139,
-                    0.0032156209999811836,
-                    0.004753100000016275,
-                    0.0031858950000014374,
-                    0.004830244999993738,
-                    0.0031850430000304186,
-                    0.004600705999962429,
-                    0.0032628390000013496,
-                    0.004647503000001052,
-                    0.003144657999996525,
-                    0.004558818000020892,
-                    0.003175386000009439,
-                    0.004605895999986842,
-                    0.003163772999982939,
-                    0.004675316000032126,
-                    0.003215940999950817,
-                    0.004588453000053505,
-                    0.003201403999980812,
-                    0.004690713999991658,
-                    0.0032028269999955228,
-                    0.004667340000025888,
-                    0.0031896129999609,
-                    0.004678560000002108,
-                    0.0032212419999950725,
-                    0.004963162000024113,
-                    0.0032922940000048584,
-                    0.004830604999995103,
-                    0.003250265000019681,
-                    0.0048461039999665445,
-                    0.0032890880000309153,
-                    0.004878453999992871,
-                    0.0032445349999647988,
-                    0.004749273000015819,
-                    0.003330425000001469,
-                    0.0047252580000076705,
-                    0.0032728080000197224,
-                    0.004698276999988593,
-                    0.003196925999986888,
-                    0.00486236500000814,
-                    0.0032804420000047685,
-                    0.00469663399996989,
-                    0.003227503000005072,
-                    0.004933977999996841,
-                    0.003257969999992838,
-                    0.004707014000018717,
-                    0.0032521489999908226,
-                    0.004683129999989433,
-                    0.0032333740000467515,
-                    0.004681966999953602,
-                    0.0031741640000291227,
-                    0.00463425800001005,
-                    0.0031597870000155126,
-                    0.00454739599996401,
-                    0.0032044800000221585,
-                    0.004585777999977836,
-                    0.0032472099999836246,
-                    0.004596157000037238,
-                    0.003168562999974256,
-                    0.004613199000004897,
-                    0.003297874999987016,
-                    0.004754522000041561,
-                    0.0032581909999862546,
-                    0.005665942999996787,
-                    0.0032521190000238676,
-                    0.004677258999947753,
-                    0.0031950020000408585,
-                    0.004633907999959774,
-                    0.0031769690000373885,
-                    0.004565619999993942,
-                    0.003174242999989474,
-                    0.0045722830000158865,
-                    0.0031544569999937266,
-                    0.004624589999991713,
-                    0.0032225040000071203,
-                    0.0048274789999709355,
-                    0.002473165000026256,
-                    0.004608600999972623,
-                    0.003017440999997234,
-                    0.004646972000045935,
-                    0.0035996780000004946,
-                    0.004650537999964399,
-                    0.0035524400000213063,
-                    0.004628056999990804,
-                    0.003558771000029992,
-                    0.004685232999975142,
-                    0.003410475000009683,
-                    0.004777616000012586,
-                    0.0035189369999670816,
-                    0.004702315000031376,
-                    0.003513096000006044,
-                    0.004354766999995263,
-                    0.0023633399999880567,
-                    0.004687016999980642,
-                    0.0035223940000150833,
-                    0.004549538999981451,
-                    0.002971085000012863,
-                    0.003997379999987061,
-                    0.003482759000007718,
-                    0.004597711000030813,
-                    0.0035219619999793395,
-                    0.003969627999993008,
-                    0.003565192999985811,
-                    0.004569287000038003,
-                    0.0029638719999525165,
-                    0.004591949000030127,
-                    0.003510010000013608,
-                    0.0034967059999644334,
-                    0.0035359980000180258,
-                    0.004527509000013197,
-                    0.0024449430000004213,
-                    0.00452303099996243,
-                    0.003507876000014676,
-                    0.004508815000008326,
-                    0.0035278429999721084,
-                    0.0045328890000178035,
-                    0.0029726779999919017,
-                    0.004578293999998095,
-                    0.0034520520000000943,
-                    0.00455387800002427,
-                    0.003590050000013889,
-                    0.004607738999993671,
-                    0.003465457000004335,
-                    0.004252104999977746,
-                    0.002998085000001538,
-                    0.0045312160000321455,
-                    0.003393001999995704,
-                    0.0045780639999861705,
-                    0.003567306999968878,
-                    0.0035069440000370378,
-                    0.002746555999976863,
-                    0.004664043999980549,
-                    0.0034873280000056184,
-                    0.004087528000013663,
-                    0.003527642999983982,
-                    0.004602509000051214,
-                    0.003557678999982272,
-                    0.004622956999980943,
-                    0.003464826000026733,
-                    0.004607498999973814,
-                    0.0034886500000084197,
-                    0.004465853999988667,
-                    0.003468843999996807,
-                    0.004070576000003712,
-                    0.0035688400000140064,
-                    0.004562674999988303,
-                    0.003326618000016879,
-                    0.00459658799996987,
-                    0.003524397000035151,
-                    0.004663893999975244,
-                    0.0034981279999897197,
-                    0.004236646000038036,
-                    0.0035903109999821936,
-                    0.004690853999989031,
-                    0.002663500000039676,
-                    0.0046523219999698995,
-                    0.002392203999988851,
-                    0.004505649000009271,
-                    0.0030987619999791605,
-                    0.004030342000021392,
-                    0.0034684519999927943,
-                    0.004706664000025285,
-                    0.0035446750000005522,
-                    0.004644487000007302,
-                    0.0035141479999651892,
-                    0.004557716000022083,
-                    0.00354471499997544,
-                    0.00452351199999157,
-                    0.0035483310000472557,
-                    0.0045409249999579515,
-                    0.003500241000040205,
-                    0.004507531999990988,
-                    0.0034172979999880226,
-                    0.004158850999999686,
-                    0.00356387099998301,
-                    0.004397226000037335,
-                    0.0035838480000052186,
-                    0.004558215999963977,
-                    0.0035326830000030895,
-                    0.0045108280000363266,
-                    0.003563789999986966,
-                    0.00344758399995726,
-                    0.0035553050000203257,
-                    0.003537131000030058,
-                    0.0035065039999722103,
-                    0.004527058000007855,
-                    0.003369097000017973,
-                    0.003597694000006868,
-                    0.003408049999961804,
-                    0.0037925480000353673,
-                    0.0035528499999486485,
-                    0.004780682000045999,
-                    0.003545705999954407,
-                    0.004747771000040757,
-                    0.0030053879999627497,
-                    0.004741228000000319,
-                    0.0036251460000471525,
-                    0.004770731999997224,
-                    0.003556116999959613,
-                    0.004665525999996589,
-                    0.0035579299999994873,
-                    0.004810277000046881,
-                    0.00352412600000207,
-                    0.004115851999983988,
-                    0.0034743229999776304,
-                    0.004675545999987207,
-                    0.0033136330000047565,
-                    0.004707756000016161,
-                    0.003528243999994629,
-                    0.004705171000011887,
-                    0.003007452000019839,
-                    0.0047685089999731645,
-                    0.003547260000004826,
-                    0.003753204000020105,
-                    0.003486006000002817,
-                    0.004765832999964914,
-                    0.0028964960000052997,
-                    0.004601798000010149,
-                    0.0035256190000154675,
-                    0.004669022999962635,
-                    0.0029257699999902798,
-                    0.0036364260000141257,
-                    0.00270751300001848,
-                    0.004577311999980793,
-                    0.0023951100000090264,
-                    0.003987261000020226,
-                    0.003522913999972843,
-                    0.004534030999991501,
-                    0.0035154810000221914,
-                    0.004548657999976058,
-                    0.003390297000009923,
-                    0.003486316000021361,
-                    0.0035809830000061993,
-                    0.0045165189999920585,
-                    0.003457381999965037,
-                    0.004539221000015914,
-                    0.003540567000015926,
-                    0.0045475069999838524,
-                    0.003523265000012543,
-                    0.004532528000027014,
-                    0.0034925779999639417,
-                    0.004055397999991328,
-                    0.0034390380000104415,
-                    0.0046479540000063935,
-                    0.0035214110000083565,
-                    0.004433363999964968,
-                    0.002954493000004277
+                    0.003364081000029273,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.00451055799999267,
+                    0.003469397999992907,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.00451055799999267,
+                    0.003469397999992907,
+                    0.00447431999998571,
+                    0.003488374000028216,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.00451055799999267,
+                    0.003469397999992907,
+                    0.00447431999998571,
+                    0.003488374000028216,
+                    0.0044895589999782715,
+                    0.0034593000000313623,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.00451055799999267,
+                    0.003469397999992907,
+                    0.00447431999998571,
+                    0.003488374000028216,
+                    0.0044895589999782715,
+                    0.0034593000000313623,
+                    0.004473378000000139,
+                    0.003476070999965941,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.00451055799999267,
+                    0.003469397999992907,
+                    0.00447431999998571,
+                    0.003488374000028216,
+                    0.0044895589999782715,
+                    0.0034593000000313623,
+                    0.004473378000000139,
+                    0.003476070999965941,
+                    0.004580098000019461,
+                    0.003494626000019707,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.00451055799999267,
+                    0.003469397999992907,
+                    0.00447431999998571,
+                    0.003488374000028216,
+                    0.0044895589999782715,
+                    0.0034593000000313623,
+                    0.004473378000000139,
+                    0.003476070999965941,
+                    0.004580098000019461,
+                    0.003494626000019707,
+                    0.004447940999966704,
+                    0.0028855350000185354,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.00451055799999267,
+                    0.003469397999992907,
+                    0.00447431999998571,
+                    0.003488374000028216,
+                    0.0044895589999782715,
+                    0.0034593000000313623,
+                    0.004473378000000139,
+                    0.003476070999965941,
+                    0.004580098000019461,
+                    0.003494626000019707,
+                    0.004447940999966704,
+                    0.0028855350000185354,
+                    0.004487003999997796,
+                    0.0034421770000108154,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.00451055799999267,
+                    0.003469397999992907,
+                    0.00447431999998571,
+                    0.003488374000028216,
+                    0.0044895589999782715,
+                    0.0034593000000313623,
+                    0.004473378000000139,
+                    0.003476070999965941,
+                    0.004580098000019461,
+                    0.003494626000019707,
+                    0.004447940999966704,
+                    0.0028855350000185354,
+                    0.004487003999997796,
+                    0.0034421770000108154,
+                    0.004553278000003047,
+                    0.00349755100000948,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.00451055799999267,
+                    0.003469397999992907,
+                    0.00447431999998571,
+                    0.003488374000028216,
+                    0.0044895589999782715,
+                    0.0034593000000313623,
+                    0.004473378000000139,
+                    0.003476070999965941,
+                    0.004580098000019461,
+                    0.003494626000019707,
+                    0.004447940999966704,
+                    0.0028855350000185354,
+                    0.004487003999997796,
+                    0.0034421770000108154,
+                    0.004553278000003047,
+                    0.00349755100000948,
+                    0.004393548999985342,
+                    0.00344787799997448,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.00451055799999267,
+                    0.003469397999992907,
+                    0.00447431999998571,
+                    0.003488374000028216,
+                    0.0044895589999782715,
+                    0.0034593000000313623,
+                    0.004473378000000139,
+                    0.003476070999965941,
+                    0.004580098000019461,
+                    0.003494626000019707,
+                    0.004447940999966704,
+                    0.0028855350000185354,
+                    0.004487003999997796,
+                    0.0034421770000108154,
+                    0.004553278000003047,
+                    0.00349755100000948,
+                    0.004393548999985342,
+                    0.00344787799997448,
+                    0.004481965000024957,
+                    0.0025882069999738633,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.00451055799999267,
+                    0.003469397999992907,
+                    0.00447431999998571,
+                    0.003488374000028216,
+                    0.0044895589999782715,
+                    0.0034593000000313623,
+                    0.004473378000000139,
+                    0.003476070999965941,
+                    0.004580098000019461,
+                    0.003494626000019707,
+                    0.004447940999966704,
+                    0.0028855350000185354,
+                    0.004487003999997796,
+                    0.0034421770000108154,
+                    0.004553278000003047,
+                    0.00349755100000948,
+                    0.004393548999985342,
+                    0.00344787799997448,
+                    0.004481965000024957,
+                    0.0025882069999738633,
+                    0.004480292000039299,
+                    0.0034618239999986145,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.00451055799999267,
+                    0.003469397999992907,
+                    0.00447431999998571,
+                    0.003488374000028216,
+                    0.0044895589999782715,
+                    0.0034593000000313623,
+                    0.004473378000000139,
+                    0.003476070999965941,
+                    0.004580098000019461,
+                    0.003494626000019707,
+                    0.004447940999966704,
+                    0.0028855350000185354,
+                    0.004487003999997796,
+                    0.0034421770000108154,
+                    0.004553278000003047,
+                    0.00349755100000948,
+                    0.004393548999985342,
+                    0.00344787799997448,
+                    0.004481965000024957,
+                    0.0025882069999738633,
+                    0.004480292000039299,
+                    0.0034618239999986145,
+                    0.004504717999964214,
+                    0.0034456730000442803,
+                    0.003364081000029273,
+                    0.0046788239999955294,
+                    0.0031805059999783225,
+                    0.00460086800001136,
+                    0.003104043999996975,
+                    0.004533571000024494,
+                    0.003164416999993591,
+                    0.004584075999957804,
+                    0.0031662100000175997,
+                    0.004644330000019181,
+                    0.0031448299999965457,
+                    0.004628318000015952,
+                    0.0031660209999699873,
+                    0.004567894999979671,
+                    0.0032200310000121135,
+                    0.0046973190000016984,
+                    0.0032281460000262996,
+                    0.0047330749999900945,
+                    0.0033349159999715994,
+                    0.005020913999999266,
+                    0.0034192749999988337,
+                    0.005033107000031123,
+                    0.003326619999995728,
+                    0.00488171400002102,
+                    0.003303436999999576,
+                    0.0049958379999566205,
+                    0.0033832070000130443,
+                    0.005056210000020656,
+                    0.003310129999988476,
+                    0.004830828000024212,
+                    0.00329179599998497,
+                    0.004708968999977969,
+                    0.003199453000036101,
+                    0.004644618999975592,
+                    0.003188382000018919,
+                    0.0046153449999906115,
+                    0.0031765499999778513,
+                    0.0051165130000185854,
+                    0.0032225150000044778,
+                    0.004713768999977219,
+                    0.003170128000022032,
+                    0.004648497000005136,
+                    0.0031654690000095798,
+                    0.004652914999951463,
+                    0.003143928000042706,
+                    0.004602750999993077,
+                    0.00316879499996503,
+                    0.0045217600000455604,
+                    0.0031250829999862617,
+                    0.004542477999962102,
+                    0.0031034730000101263,
+                    0.00450777300000027,
+                    0.0032579620000205978,
+                    0.0045583579999970425,
+                    0.0031320859999937056,
+                    0.004584196999985579,
+                    0.003145942000003288,
+                    0.004752171000006911,
+                    0.0031695160000140277,
+                    0.004575580999983231,
+                    0.003200314000025628,
+                    0.0046149240000090685,
+                    0.003128248999985317,
+                    0.00451232099999288,
+                    0.003114493999987644,
+                    0.004653415999996469,
+                    0.003204261000007591,
+                    0.004494919000023856,
+                    0.003598629999999048,
+                    0.004569438999965314,
+                    0.0034592090000273856,
+                    0.004507101999990937,
+                    0.0034636080000041147,
+                    0.004490198999974382,
+                    0.002508379000005334,
+                    0.004525246000014249,
+                    0.0034533580000015718,
+                    0.004492002999995748,
+                    0.0034504530000276645,
+                    0.004442912000001797,
+                    0.0034611719999588786,
+                    0.004479390000028616,
+                    0.0030885649999845555,
+                    0.003917067000031693,
+                    0.003077724999968723,
+                    0.004540404000010767,
+                    0.0035213150000004134,
+                    0.005415422999988095,
+                    0.003510385000026872,
+                    0.00446499299999914,
+                    0.0029226439999661125,
+                    0.004531438000014987,
+                    0.0036304799999697934,
+                    0.0046677320000299005,
+                    0.003670795999994425,
+                    0.003947363000008863,
+                    0.003762267000013253,
+                    0.004923290999954588,
+                    0.0036442960000044877,
+                    0.004747582000049988,
+                    0.0036279549999562732,
+                    0.004742714000030901,
+                    0.003572099999985312,
+                    0.00447536299998319,
+                    0.0030551820000255248,
+                    0.004708979999975327,
+                    0.002572699000040757,
+                    0.004622657999959756,
+                    0.0035289500000317275,
+                    0.004674625000006927,
+                    0.003522176999979365,
+                    0.00465358600001764,
+                    0.003509122999957981,
+                    0.004029257000013331,
+                    0.00345653400000856,
+                    0.004548829999976078,
+                    0.0034435400000347727,
+                    0.004787837999970179,
+                    0.0035708480000380405,
+                    0.004630231999954049,
+                    0.0034103080000136288,
+                    0.004560291000018424,
+                    0.003467074000013781,
+                    0.004146545999958562,
+                    0.0034576270000457043,
+                    0.004033954999954403,
+                    0.003458958999999595,
+                    0.004064934000041376,
+                    0.003601204999995389,
+                    0.004707045999964521,
+                    0.0035092530000042643,
+                    0.0046350210000127845,
+                    0.0035185410000053707,
+                    0.004572434000010617,
+                    0.003497189999961847,
+                    0.004486944000007043,
+                    0.0034807590000127675,
+                    0.0040180259999829104,
+                    0.0034096269999963624,
+                    0.004560201000003872,
+                    0.003437398000016856,
+                    0.004543140000009771,
+                    0.003490947999978289,
+                    0.004516088999992007,
+                    0.0034723230000395233,
+                    0.004498405999981969,
+                    0.0034697689999916292,
+                    0.004435376999992968,
+                    0.0034654010000281232,
+                    0.004510347999996611,
+                    0.00236384699996961,
+                    0.004491974000018217,
+                    0.00349781099998836,
+                    0.004484259000037127,
+                    0.0034657119999792485,
+                    0.004469481000000997,
+                    0.003485619000002771,
+                    0.004491772999983823,
+                    0.003321561000007023,
+                    0.004535374999989017,
+                    0.0034861600000226645,
+                    0.004562555000006796,
+                    0.003468656999984887,
+                    0.003931503999979213,
+                    0.0031912870000496696,
+                    0.004483837999998741,
+                    0.0035046939999574533,
+                    0.00472437900003797,
+                    0.0035124190000033195,
+                    0.0045554019999940465,
+                    0.003476210999963314,
+                    0.004531788000008419,
+                    0.0034724239999945894,
+                    0.0045181930000239845,
+                    0.0030592499999784195,
+                    0.004509455999993861,
+                    0.003453689000025406,
+                    0.004567394999980934,
+                    0.00248178800001142,
+                    0.004486353000004328,
+                    0.0035271360000024288,
+                    0.0044957810000028076,
+                    0.0034722739999892838,
+                    0.004473539000002802,
+                    0.003428471000006539,
+                    0.00447005299997727,
+                    0.003450142000019696,
+                    0.004482485999972141,
+                    0.003447437000033915,
+                    0.004553068000006988,
+                    0.0035223369999926035,
+                    0.004573917000016081,
+                    0.003492951999987781,
+                    0.004144351999968876,
+                    0.003456384000003254,
+                    0.004512432000012723,
+                    0.003457416000003377,
+                    0.004573556000025292,
+                    0.0035094929999672786,
+                    0.003658252000036555,
+                    0.002955575999976645,
+                    0.0046009980000008,
+                    0.003472153000018352,
+                    0.004527890999952433,
+                    0.003481120000003557,
+                    0.004032343000005767,
+                    0.00345768599999019,
+                    0.004627487000050223,
+                    0.003494015000001127,
+                    0.004002866999996968,
+                    0.002615778999995655,
+                    0.004514866999954847,
+                    0.002369478000048275,
+                    0.004492293999987851,
+                    0.003456643999982134,
+                    0.004479419999995571,
+                    0.0034823430000301414,
+                    0.004493745999980092,
+                    0.0034719839999866053,
+                    0.003966439000009814,
+                    0.0034753190000174072,
+                    0.0034236129999953846,
+                    0.003467053000008491,
+                    0.003938857999969514,
+                    0.003460311000026195,
+                    0.003986937999968632,
+                    0.0034470760000431255,
+                    0.004488246999983403,
+                    0.0034462849999954415,
+                    0.00451055799999267,
+                    0.003469397999992907,
+                    0.00447431999998571,
+                    0.003488374000028216,
+                    0.0044895589999782715,
+                    0.0034593000000313623,
+                    0.004473378000000139,
+                    0.003476070999965941,
+                    0.004580098000019461,
+                    0.003494626000019707,
+                    0.004447940999966704,
+                    0.0028855350000185354,
+                    0.004487003999997796,
+                    0.0034421770000108154,
+                    0.004553278000003047,
+                    0.00349755100000948,
+                    0.004393548999985342,
+                    0.00344787799997448,
+                    0.004481965000024957,
+                    0.0025882069999738633,
+                    0.004480292000039299,
+                    0.0034618239999986145,
+                    0.004504717999964214,
+                    0.0034456730000442803,
+                    0.004488767999987431,
+                    0.0034566639999979998
                 ],
                 "count": 16384,
-                "total": 64.44442477299839,
-                "mean": 0.003933375535461327,
-                "p50": 0.003574911500010103,
-                "p90": 0.004735707000008915,
-                "p95": 0.004830604999995103,
-                "p99": 0.004963162000024113,
-                "stdev": 0.0007156356859197987,
-                "stdev_": 18.193932398978657
+                "total": 64.55078528600131,
+                "mean": 0.003939867265991291,
+                "p50": 0.003670795999994425,
+                "p90": 0.004708968999977969,
+                "p95": 0.00488171400002102,
+                "p99": 0.0051165130000185854,
+                "stdev": 0.0006833635445812403,
+                "stdev_": 17.344836727876476
             },
             "throughput": null,
             "energy": null,