[0.008409254,0.009098613,0.010719544,0.013060379,0.015884692,0.018947052,0.021998346,0.02474386,0.026847253,0.027844401,0.027252452,0.024812244,0.020992897,0.017077247,0.015339469,0.018888151,0.03156411,0.05616727,0.092488855,0.13600014,0.17954455,0.2155323,0.23766927,0.24198656,0.22936769,0.20775683,0.19004093,0.18715651,0.20162666,0.22670855,0.25085935,0.26227617,0.25464565,0.2301213,0.2017169,0.18478721,0.18879966,0.21003519,0.23763824,0.26077998,0.274533,0.2785756,0.27418712,0.2631207,0.24700475,0.22794761,0.2075333,0.18845265,0.17566206,0.17638995,0.19542266,0.23048915,0.27218243,0.3091108,0.33386442,0.34382263,0.33952585,0.32156977,0.2920377,0.25536087,0.21938013,0.19152002,0.17605133,0.1727252,0.17910731,0.1918567,0.20706886,0.2202215,0.22803648,0.23010767,0.22889762,0.22746229,0.22772823,0.22998075,0.23313321,0.23393093,0.22725672,0.20840044,0.17805134,0.14385638,0.11838335,0.112420194,0.12924655,0.16152306,0.19402565,0.21223278,0.21062224,0.19494389,0.17596972,0.16246529,0.15907925,0.16770776,0.1879773,0.21534444,0.24183817,0.26004073,0.26681486,0.26355198,0.2532496,0.23860474,0.22079718,0.20008864,0.17692672,0.1541876,0.1370805,0.13016985,0.13262953,0.1384757,0.14126791,0.14120044,0.14406419,0.15503107,0.17053998,0.18040954,0.1756769,0.1569587,0.13390374,0.11951978,0.12430227,0.15212403,0.19880809,0.25182447,0.29760346,0.32784903,0.3434452,0.34775233,0.34171215,0.32282913,0.2908033,0.25048885,0.21044052,0.17870621,0.16019423,0.15595438,0.16348787,0.17733955,0.19121505,0.20016599,0.20152389,0.19441159,0.17924456,0.15847157,0.13655272,0.11885894,0.10950655,0.11051073,0.12199285,0.14323287,0.17224546,0.2053768,0.23702522,0.26216355,0.27882823,0.28876567,0.2945781,0.29671773,0.2935301,0.283501,0.26666304,0.24390183,0.21648179,0.18677075,0.15854688,0.13535245,0.11858804,0.10719245,0.09923924,0.093182206,0.088343084,0.08443118,0.08137178,0.079003155,0.07718683,0.0756722,0.07432919,0.07307183,0.0719237,0.07076993,0.06935459,0.06738293,0.06475627,0.06169823,0.058620352,0.055977505,0.054060597,0.052959938,0.052557338,0.05265892,0.05311619,0.053776387,0.054464113,0.054944873,0.055194985,0.055262897,0.055212732,0.05486684,0.05421712,0.053495165,0.053123992,0.053117078,0.053088497,0.05266701,0.052015558,0.05162202,0.051697657,0.052098736,0.05319805,0.056923676,0.06699517,0.087344475,0.11997489,0.1623996,0.20791213,0.24759834,0.2750591,0.2884796,0.29061756,0.2855767,0.27749482,0.27001742,0.26662013,0.26808682,0.27037564,0.2646822,0.24349527,0.20658775,0.16393943,0.13001935,0.117317654,0.1299418,0.16404821,0.20914729,0.2536105,0.28781268,0.30718258,0.3102983,0.29869142,0.27460346,0.2420668,0.20445262,0.16727372,0.13767813,0.12531465,0.13517547,0.16432457,0.20106561,0.23314579,0.25322,0.2620301,0.2644757,0.26620257,0.26997522,0.2745273,0.27585456,0.2701349,0.25955567,0.25135174,0.2550483,0.2724893,0.29780096,0.3184935,0.32498834,0.312744,0.2849925,0.24948639,0.21648937,0.1944998,0.18851213,0.19981164,0.2267654,0.26487866,0.3067896,0.3445443,0.37233087,0.38807473,0.3924539,0.3878909,0.37757432,0.3638856,0.34602734,0.32024035,0.28375664,0.24019073,0.20051567,0.1782782,0.18145353,0.20723867,0.24236582,0.2700666,0.2776535,0.26285878,0.23236336,0.19793564,0.16804244,0.14601241,0.12976395,0.118730634,0.11474496,0.12259388,0.14397945,0.17670847,0.21334822,0.24470063,0.26184115,0.26021042,0.24317308,0.22186679,0.21103239,0.21887952,0.24353985,0.27354148,0.29723248,0.306932,0.30220413,0.28653005,0.26546213,0.24239023,0.21853916,0.19451594,0.1742589,0.1641521,0.16824168,0.1834007,0.20075156,0.2136585,0.22365451,0.2385031,0.26240742,0.28957167,0.30751798,0.3077,0.2916423,0.26916355,0.25039417,0.24306782,0.25049588,0.272714,0.30294445,0.3299828,0.34277984,0.3380123,0.32078233,0.29937482,0.27856827,0.25779536,0.23592393,0.21556117,0.20338802,0.20375057,0.21523023,0.23084651,0.24445458,0.2527822,0.25507453,0.24939096,0.2341754,0.21166305,0.19100313,0.18350859,0.19497246,0.22021829,0.24760203,0.26681927,0.27470037,0.27302432,0.264933,0.25212044,0.23593225,0.21766591,0.19912343,0.18164514,0.16655912,0.15485011,0.14800547,0.14772351,0.15596564,0.17268044,0.19466738,0.21570967,0.23053102,0.23712486,0.23690619,0.2318358,0.22353442,0.21303374,0.20090955,0.1863849,0.1682998,0.14704077,0.1255026,0.1073795,0.0946667,0.087025054,0.0827896,0.08054212,0.07954893,0.07951865,0.08006208,0.080421574,0.07985366,0.077973485,0.07516765,0.072173215,0.06988663,0.06905835,0.0705725,0.075234346,0.08329919,0.0938826,0.10499823,0.11451069,0.12094027,0.12383369,0.12301654,0.11885209,0.11367325,0.114226945,0.12991361,0.1668063,0.22023505,0.27554145,0.31674293,0.33683062,0.33967355,0.33299008,0.3212233,0.3038341,0.28123102,0.25842848,0.2446342,0.24536736,0.257929,0.27182403,0.27763522,0.2728128,0.26252505,0.25310773,0.24777533,0.24499305,0.24093373,0.23099665,0.21243171,0.18661277,0.1617843,0.15078248,0.16548689,0.20787334,0.26813865,0.3283142,0.37363765,0.3979315,0.40404963,0.39691195,0.38033667,0.3573576,0.3326193,0.31195274,0.29874483,0.29267636,0.29037082,0.289102,0.28715733,0.2845001,0.2807881,0.2759761,0.26925588,0.261238,0.2544326,0.25375125,0.26276314,0.28081656,0.30271217,0.32294723,0.33998087,0.35760865,0.38158318,0.41452911,0.4520105,0.4831636,0.49696967,0.4891697,0.46635357,0.44002196,0.41939175,0.40459526,0.39114094,0.37531725,0.36004028,0.35131133,0.35397613,0.36747548,0.38731554,0.4070405,0.4204042,0.4235206,0.41624734,0.40311322,0.38854715,0.3750161,0.36095595,0.34599474,0.3320912,0.32508573,0.3309822,0.35204646,0.38374916,0.41589674,0.4394648,0.45144853,0.45484605,0.453496,0.4484876,0.43983886,0.42867526,0.4186163,0.41234505,0.41040635,0.4105097,0.41035795,0.40846696,0.40554214,0.40385687,0.4066566,0.41542426,0.4282309,0.44073358,0.44941878,0.453905,0.45551983,0.455439,0.4543161,0.45411932,0.45718887,0.46375617,0.46955788,0.46902323,0.45903406,0.441334,0.42040226,0.40093386,0.38601938,0.37591636,0.36854124,0.36200455,0.35860395,0.36459336,0.38498983,0.41727543,0.45208707,0.47889325,0.49253878,0.49273863,0.48242894,0.46499357,0.44618213,0.43098867,0.42366838,0.42322525,0.42940044,0.44014028,0.4558746,0.47221944,0.48543444,0.49104336,0.49028566,0.4858816,0.4810932,0.4757069,0.4679792,0.45679912,0.4444928,0.43585,0.4358267,0.44587955,0.46296594,0.47996867,0.49020445,0.49103865,0.48606086,0.48094416,0.47996148,0.48257887,0.4864343,0.4878244,0.48561332,0.48172787,0.4834698,0.4973333,0.5216458,0.54416394,0.55152756,0.54158694,0.5235278,0.50848454,0.49997666,0.49540138,0.49221084,0.490393,0.49189952,0.49633932,0.5021383,0.5054373,0.5042848,0.49875018,0.49191284,0.48621938,0.4813094,0.47477436,0.46505913,0.45417547,0.44611213,0.44417307,0.4485918,0.4568461,0.46558514,0.47204307,0.47513238,0.47490135,0.4723208,0.46813095,0.46294644,0.45759,0.45393905,0.45457104,0.4607998,0.4714938,0.4826678,0.4908662,0.49479762,0.49635553,0.49711838,0.49694493,0.49420455,0.4883177,0.4806265,0.47289267,0.46679863,0.46351615,0.46423578,0.46878913,0.47630763,0.48685464,0.5014107,0.5186222,0.532589,0.53630036,0.52816224,0.51248187,0.4956896,0.48071,0.46795657,0.4572219,0.44901899,0.44468918,0.44417736,0.44777432,0.4531915,0.45924553,0.46224344,0.46121764,0.4550542,0.44802094,0.44428563,0.44807026,0.4578483,0.4697933,0.47934163,0.48469877,0.48592746,0.48361707,0.47847414,0.47104892,0.46263993,0.45405197,0.4461887,0.43918952,0.4338298,0.43066144,0.43084884,0.4345533,0.44126642,0.44844267,0.45333886,0.45369545,0.44981048,0.44384244,0.4392438,0.43867874,0.44244528,0.44778225,0.45037654,0.44741476,0.43938532,0.42931506,0.42063156,0.41610876,0.4194592,0.43461862,0.46272635,0.49638495,0.52241176,0.52943176,0.51707906,0.49333617,0.46716714,0.4420031,0.4183971,0.39762235,0.38309813,0.37726602,0.38019314,0.38913128,0.40030965,0.40957174,0.4137752,0.41171432,0.40482625,0.39724043,0.39295658,0.39449298,0.4004872,0.40882158,0.41686037,0.4243851,0.43145943,0.4391023,0.44709587,0.45475587,0.46099946,0.4655459,0.46880898,0.47084102,0.47142854,0.470438,0.4691553,0.46933773,0.4721557,0.47618997,0.47765318,0.47219825,0.45819357,0.4386336,0.41985384,0.40859565,0.40860304,0.41940024,0.43622458,0.45221475,0.46174577,0.46308088,0.45903823,0.45424965,0.4528679,0.45560813,0.46043897,0.46324936,0.46211004,0.45814738,0.45556748,0.45739016,0.4635563,0.47086403,0.47594762,0.4776795,0.47759822,0.4785005,0.4818859,0.48706385,0.49087325,0.49085546,0.48671922,0.48205808,0.48087624,0.48509285,0.49289683,0.5003602,0.5042891,0.50303656,0.49888226,0.49593458,0.49876213,0.50636715,0.5135985,0.5140516,0.50652355,0.49442127,0.48269725,0.47403395,0.46827802,0.4643983,0.46171072,0.46056882,0.46091175,0.46187901,0.4619838,0.46029988,0.45665553,0.4513693,0.44518828,0.439451,0.43518892,0.43212426,0.42855838,0.42300257,0.41580653,0.4097936,0.4103355,0.42243788,0.44715464,0.47738037,0.5011065,0.50760317,0.49508333,0.47046828,0.44493768,0.42681542,0.41861033,0.41830072,0.42307052,0.4310838,0.44054437,0.44790018,0.4499847,0.44616064,0.44064447,0.43819192,0.44106627,0.44649217,0.4498426,0.44863883,0.4435885,0.43799686,0.43317762,0.42972088,0.42727396,0.42811057,0.43388438,0.44416752,0.45453236,0.46001637,0.45788014,0.4493983,0.43837962,0.4291408,0.42382768,0.4217743,0.42023036,0.41697872,0.41126832,0.40372822,0.39501095,0.3859421,0.3772024,0.36923432,0.36146688,0.35333648,0.34521267,0.33868086,0.33510765,0.3348248,0.33864895,0.3497872,0.3744763,0.4158258,0.4685943,0.5163405,0.54232,0.539251,0.5153935,0.48455128,0.45668018,0.43290028,0.41110745,0.3909224,0.3751316,0.36614573,0.36439398,0.3667407,0.37023708,0.37149617,0.36994898,0.3645263,0.35652232,0.3477868,0.34218988,0.34168658,0.34507608,0.34914783,0.35353398,0.36425152,0.38839355,0.42642918,0.4669272,0.49552527,0.5038764,0.4948524,0.47485068,0.4495482,0.42224786,0.39864638,0.38454354,0.38303086,0.3892124,0.39468035,0.39196244,0.38074073,0.36541438,0.35168862,0.3424678,0.33751735,0.33513054,0.33330178,0.33151928,0.3308443,0.33377382,0.3420882,0.35561165,0.3721999,0.389323,0.40399146,0.4129907,0.4127612,0.4029121,0.3868376,0.3710339,0.36031106,0.3560207,0.35613966,0.35770142,0.35841012,0.3572683,0.3547223,0.35187626,0.3500525,0.3500289,0.3524511,0.3572593,0.36347434,0.36779925,0.36560488,0.3525091,0.32824004,0.29723513,0.2677938,0.2475114,0.24154775,0.24998629,0.2688481,0.2898732,0.30581093,0.3131989,0.3144544,0.31331968,0.3122679,0.31170687,0.31217316,0.31461203,0.31882608,0.32259333,0.3230537,0.31909227,0.31259322,0.30603418,0.3006618,0.294286,0.28383112,0.2667415,0.24507277,0.22527285,0.2167203,0.22409618,0.24358964,0.26341918,0.2731738,0.26953542,0.25807798,0.24679632,0.24140148,0.2413647,0.24230264,0.23947991,0.23290206,0.2275307,0.23068,0.24608879,0.27128074,0.29806173,0.31839684,0.32823613,0.32851705,0.32124007,0.30783662,0.28975475,0.2704779,0.2533196,0.2384156,0.22140683,0.1993704,0.17521642,0.1586221,0.15777522,0.17304365,0.19562195,0.21450199,0.22485442,0.23072314,0.24121754,0.26143593,0.28842065,0.31301406,0.32783613,0.33109617,0.32542285,0.3127922,0.2939371,0.27023062,0.24660456,0.22910301,0.22224306,0.22641927,0.2395203,0.25770223,0.2764723,0.29034194,0.29411057,0.28620765,0.27359974,0.27341816,0.3039179,0.37005734,0.45419455,0.526943,0.5650895,0.5661185,0.54112285,0.5059069,0.46986076,0.44102052,0.42408988,0.42305562,0.43435946,0.4504527,0.46249858,0.46575204,0.4604856,0.4499744,0.44030264,0.4359689,0.4386641,0.44433632,0.44829285,0.44880402,0.4499197,0.45745444,0.4743496,0.49804577,0.5216588,0.53772753,0.5416129,0.5336284,0.51816165,0.5001359,0.4825739,0.46559787,0.44988632,0.43732882,0.43129274,0.4323689,0.4378792,0.44256708,0.4428809,0.438092,0.43060568,0.4236507,0.42047217,0.42221507,0.42806232,0.43600678,0.44516692,0.45604563,0.46933052,0.4854726,0.505683,0.531859,0.5627162,0.59008294,0.6020012,0.59148484,0.5634654,0.5301607,0.50234604,0.4826739,0.46934542,0.46122214,0.46085033,0.47272125,0.49902233,0.53717357,0.5782373,0.61105794,0.62752503,0.627698,0.618345,0.60691994,0.596962,0.58803415,0.5806349,0.5765336,0.577688,0.581966,0.5854688,0.5833567,0.5735064,0.5556446,0.5335459,0.51268476,0.49868974,0.49303117,0.49350712,0.4958862,0.49712598,0.49590015,0.49168274,0.48398384,0.4730239,0.46157444,0.45426404,0.4546374,0.4613949,0.4688733,0.47079003,0.465439,0.45652243,0.45085797,0.45190993,0.4574356,0.4615403,0.46375346,0.4727113,0.49900785,0.54208976,0.585289,0.6079123,0.6005071,0.57062596,0.53523016,0.50814956,0.49516955,0.49275652,0.49538025,0.4984528,0.50149417,0.5042122,0.50494236,0.5010719,0.49194196,0.47989723,0.46883985,0.4620911,0.46169254,0.4675568,0.4777973,0.48902056,0.4989384,0.50759983,0.51705956,0.52780944,0.53756905,0.54187554,0.5383923,0.52758336,0.5126501,0.49655926,0.48182055,0.47024545,0.46391395,0.4646716,0.47311488,0.4867599,0.5005681,0.50860107,0.5078333,0.49833503,0.48310068,0.46477237,0.44526246,0.4251524,0.40568402,0.39004385,0.3835516,0.39051092,0.41147688,0.44328424,0.48437104,0.5350829,0.59308076,0.6462906,0.6772569,0.67634684,0.64987355,0.61580604,0.58860475,0.5730131,0.5650757,0.5611554,0.56127405,0.5696917,0.5913789,0.6260471,0.6653399,0.6925737,0.6938236,0.664732,0.615599,0.56281936,0.52160615,0.49782863,0.48824167,0.48472527,0.48247838,0.4839189,0.49382553,0.51183385,0.5291361,0.5369753,0.53272086,0.52173215,0.5096376,0.4988743,0.48912668,0.48026824,0.47375086,0.47027934,0.4703413,0.47356534,0.4801891,0.4891349,0.49828827,0.50510055,0.5087268,0.50967115,0.50884056,0.50560135,0.4988775,0.4866468,0.46892917,0.44809163,0.43312335,0.43643582,0.46779132,0.5218336,0.5772218,0.6076532,0.6012805,0.56657165,0.5237797,0.48916066,0.4682888,0.45780006,0.45129418,0.4440066,0.43560275,0.43016365,0.43373013,0.44970345,0.47649956,0.5072074,0.5334094,0.5486498,0.55119133,0.54321426,0.5290249,0.5117991,0.49371782,0.47631803,0.4644077,0.46256182,0.47271618,0.4880638,0.49893403,0.49752963,0.48482153,0.46676925,0.4501529,0.43810606,0.43075216,0.42774105,0.4295719,0.43719235,0.4496894,0.46399415,0.47579327,0.4817431,0.48022798,0.47192696,0.45901787,0.445009,0.4337075,0.42984605,0.43731895,0.45723704,0.48486552,0.5134105,0.53871965,0.56282455,0.5877433,0.61086893,0.6246965,0.6240321,0.6093235,0.5850868,0.5563449,0.5272147,0.50197935,0.48403132,0.47598544,0.47872055,0.4935077,0.51982373,0.5540884,0.586606,0.6062307,0.6058994,0.5881205,0.5621882,0.53767306,0.51769584,0.4982895,0.47411036,0.4470216,0.42802575,0.42897415,0.4502087,0.47810623,0.49569452,0.4957086,0.48275474,0.46609393,0.45149267,0.44119215,0.43540862,0.43439373,0.43654886,0.43972,0.44202092,0.44349363,0.44455552,0.44532314,0.44549063,0.44520697,0.4444318,0.44201127,0.43621707,0.42721224,0.41788796,0.412531,0.41431,0.4268217,0.45463958,0.50082356,0.55860263,0.61050224,0.6365493,0.62921715,0.59751576,0.55912006,0.527199,0.5040866,0.48686656,0.4737644,0.46846607,0.4737713,0.4875773,0.5018117,0.50803924,0.5028398,0.48847246,0.47203246,0.45981503,0.455139,0.4553077,0.45711243,0.45942393,0.4662358,0.48090395,0.5036574,0.5292818,0.55052453,0.5609758,0.5582077,0.5451203,0.5279587,0.51351404,0.5050469,0.5017145,0.49872234,0.49114096,0.4768224,0.45859984,0.44232437,0.43384174,0.4362785,0.44865635,0.46645346,0.48232675,0.4895182,0.4834251,0.4653907,0.44192633,0.42299798,0.41489562,0.4174668,0.42739892,0.44523764,0.47738647,0.5271067,0.5860298,0.63425493,0.6533211,0.63868225,0.60045904,0.5570004,0.52528983,0.51885915,0.5402178,0.57868695,0.6117285,0.6206202,0.6015155,0.5655139,0.5282896,0.50192404,0.4959086,0.5152442,0.5567873,0.6034487,0.6334064,0.63405937,0.6112508,0.5818645,0.5594704,0.54745764,0.5400176,0.5293579,0.50872415,0.47606036,0.43345034,0.38576555,0.33927444,0.30083442,0.2787205,0.27724323,0.29458663,0.3209214,0.34559774,0.36067614,0.36436436,0.35853997,0.34831455,0.33953235,0.3373207,0.3424783,0.35075128,0.35383734,0.34475935,0.32124218,0.2885903,0.2583339,0.24834323,0.275637,0.34640506,0.4442835,0.5365439,0.5921057,0.6017578,0.57832986,0.5442696,0.51583576,0.4995332,0.4938433,0.49562922,0.50153977,0.51001436,0.5191186,0.5263765,0.5279033,0.5200114,0.5018444,0.47643304,0.4503815,0.42976263,0.41803572,0.4144635,0.41613555,0.42038664,0.42753235,0.44121397,0.4640378,0.49330696,0.51958114,0.53327733,0.53021914,0.51348394,0.4890864,0.46291366,0.44065014,0.42781258,0.42774355,0.4384979,0.45343444,0.46554634,0.47151265,0.4723401,0.47025827,0.4662032,0.45971084,0.45067605,0.440487,0.43141487,0.42608654,0.42770824,0.44017807,0.46614257,0.5047905,0.55102295,0.5976465,0.6359083,0.65798086,0.6573493,0.6341445,0.5931749,0.5446079,0.49801695,0.4636663,0.44841802,0.45488715,0.47893843,0.5124703,0.54802036,0.5803869,0.6062298,0.6218467,0.62422705,0.6130111,0.5903946,0.56091595,0.52872664,0.49822417,0.4720374,0.45252582,0.44209173,0.4450047,0.4639192,0.49583483,0.52981347,0.5533739,0.559859,0.5523696,0.539131,0.52710754,0.5183858,0.51129115,0.50381845,0.49587178,0.4890723,0.4850528,0.483955,0.48507106,0.48754224,0.49096093,0.4944376,0.49699613,0.4979547,0.4977969,0.49678966,0.49421886,0.48822054,0.47871006,0.46992645,0.47082266,0.4892094,0.52400947,0.56184053,0.5843844,0.5807862,0.55448693,0.5195242,0.48988628,0.4730629,0.46838817,0.4715192,0.47733295,0.48231733,0.48423922,0.48210326,0.47669384,0.46983555,0.4635299,0.45762566,0.4513297,0.4443766,0.43882105,0.43677473,0.43870834,0.44299912,0.44836196,0.4561715,0.46896717,0.4867799,0.5041414,0.5136253,0.51121145,0.49955595,0.48444644,0.47105297,0.4612842,0.4553961,0.45153725,0.4474461,0.44117403,0.43424582,0.4309982,0.4359957,0.45005956,0.46902335,0.48593327,0.49506772,0.4950464,0.4892105,0.4820861,0.47622728,0.4696593,0.46049264,0.45108208,0.45287442,0.47805783,0.5292025,0.5900471,0.63539785,0.6472283,0.62668616,0.58877605,0.5505091,0.52215785,0.50702524,0.5030825,0.5059869,0.5109401,0.51684785,0.52524614,0.5365228,0.5448908,0.540666,0.5189719,0.48484734,0.4516015,0.43005064,0.4246619,0.43195972,0.44739643,0.465892,0.48551297,0.5047992,0.5233605,0.53825045,0.54507965,0.5397227,0.52182144,0.4958539,0.46909228,0.4486953,0.43884,0.44001544,0.44951668,0.46218717,0.47255895,0.4768727,0.47553352,0.47159734,0.4684805,0.46732214,0.46807674,0.46993873,0.47188056,0.47090685,0.46396363,0.4497149,0.43212175,0.4191229,0.42076144,0.44367602,0.48603427,0.5353921,0.57308865,0.5860979,0.5735569,0.5468862,0.519561,0.5011046,0.49360868,0.49433658,0.49769983,0.49815726,0.49261495,0.4812814,0.46751508,0.45480016,0.44584975,0.4405271,0.4376652,0.4349489,0.43119338,0.42617092,0.42112854,0.41827837,0.42059007,0.4314194,0.45246473,0.48090282,0.50830775,0.52382356,0.5215389,0.5042899,0.48207545,0.46391633,0.4531436,0.4472394,0.4429792,0.43928945,0.4370307,0.43629494,0.4361004,0.43552908,0.43586624,0.43850806,0.4437592,0.4489342,0.45202687,0.45238832,0.45131966,0.4485923,0.44241855,0.43178487,0.42061588,0.41838774,0.43461075,0.46977744,0.51234096,0.5447123,0.55676895,0.5505585,0.536459,0.52239007,0.5098795,0.49666393,0.48151252,0.46754476,0.46053,0.46653208,0.48740697,0.51789004,0.54744697,0.56482077,0.5664192,0.55542684,0.539907,0.5249991,0.5138871,0.5073406,0.50636107,0.5104738,0.51820713,0.52743345,0.53550583,0.53970337,0.53712964,0.52802366,0.51492405,0.5018404,0.48958966,0.476899,0.46294382,0.45087898,0.44590154,0.45022202,0.46019176,0.46881545,0.47131255,0.46800897,0.4624945,0.45845592,0.4574597,0.45940113,0.46274018,0.46542892,0.46520886,0.4607644,0.4526702,0.4446069,0.44360936,0.4569253,0.48664007,0.5242743,0.5540406,0.5608105,0.5416289,0.5048179,0.46551678,0.43312994,0.41139185,0.3972089,0.38876602,0.3844159,0.38578573,0.3941903,0.41042805,0.43173826,0.45215324,0.46568474,0.4692882,0.4657304,0.45999125,0.4573784,0.4592776,0.46481964,0.4720243,0.48108804,0.4937893,0.5106848,0.5283623,0.54033643,0.5420776,0.53436714,0.522367,0.51124626,0.502945,0.49665907,0.49033272,0.48325035,0.4759549,0.4707931,0.46912184,0.47096908,0.47410622,0.47692418,0.47881404,0.48075542,0.48311925,0.48584744,0.48771134,0.48799825,0.4860848,0.48300028,0.48177257,0.48838902,0.5100563,0.54881257,0.59673053,0.63627964,0.6519367,0.6400709,0.61011314,0.57551044,0.5449667,0.52179664,0.5065941,0.49952492,0.5004513,0.5097696,0.5297108,0.5604407,0.59600234,0.62285155,0.62908936,0.6126446,0.5837081,0.5552578,0.53465784,0.51959366,0.50385845,0.48353612,0.46281946,0.45136335,0.45706186,0.47831345,0.50361377,0.521029,0.52534103,0.5205634,0.51200306,0.50293356,0.4937257,0.4858993,0.48199072,0.4832722,0.4882443,0.49329647,0.4958538,0.4951745,0.49318114,0.49238828,0.49470678,0.49922466,0.5031781,0.5035806,0.49913183,0.49002385,0.47756168,0.4636198,0.44990823,0.43544665,0.41741207,0.39300677,0.36432537,0.3358774,0.31264317,0.29590014,0.28559196,0.28007647,0.27665305,0.27066767,0.25886184,0.24206166,0.22543907,0.21353708,0.2070139,0.20248353,0.1974916,0.1929952,0.19278282,0.19820644,0.20594393,0.20930697,0.20491944,0.19545718,0.18878017,0.19037978,0.20015842,0.2121038,0.22035527,0.22220202,0.21931715,0.21507335,0.2125112,0.2125233,0.21376978,0.21396221,0.21310346,0.21391709,0.22031961,0.23181099,0.24405523,0.2507315,0.24977297,0.24261008,0.23302598,0.2232988,0.21440388,0.20635426,0.19961126,0.19510023,0.19392608,0.19634987,0.20139134,0.20695136,0.21120264,0.21354885,0.21451722,0.21421964,0.21151029,0.20492065,0.19445634,0.18222572,0.17111492,0.16299117,0.15755661,0.15283303,0.14644481,0.13752103,0.12740718,0.11888043,0.11391523,0.112054385,0.1106985,0.10703079,0.09994338,0.09041635,0.080481015,0.07207049,0.06656604,0.06503522,0.06802418,0.075219125,0.08522264,0.096170485,0.10622629,0.11373002,0.11691031,0.11430011,0.10618797,0.09626112,0.091608256,0.09895259,0.11984489,0.14810602,0.17429541,0.19249964,0.20483524,0.21821065,0.2381347,0.26435623,0.2924634,0.31780922,0.33834967,0.35389325,0.3646896,0.3707219,0.37238064,0.37020457,0.36394063,0.35208175,0.33362094,0.31027782,0.2871325,0.27008748,0.26296723,0.2657828,0.27549508,0.2873963,0.2972101,0.30279443,0.30499485,0.30649424,0.30943486,0.31379423,0.31721684,0.31669864,0.3103317,0.2986922,0.28450134,0.27051648,0.25771156,0.24424614,0.22776538,0.2070295,0.18408489,0.16306688,0.14876807,0.1438785,0.14809905,0.15839566,0.17009872,0.17786191,0.17761618,0.16932489,0.15876345,0.15410985,0.15999305,0.1735391,0.18764515,0.19727357,0.20267935,0.20709325,0.21233518,0.21732281,0.21932037,0.21581727,0.20544279,0.1878733,0.16467959,0.13905576,0.11557976,0.09776505,0.08731139,0.08358973,0.085481495,0.09201025,0.10306337,0.1178967,0.13435495,0.14859219,0.15771215,0.16225456,0.16618069,0.17392339,0.18698132,0.20455582,0.22458749,0.24539198,0.2639945,0.2772192,0.2822076,0.27865526,0.26832724,0.25558802,0.24556164,0.24187386,0.24267645,0.24116671,0.229701,0.20612164,0.17633867,0.15155993,0.14259018,0.15313202,0.17838101,0.20746471,0.23114544,0.24550538,0.252236,0.2535329,0.2506099,0.24377061,0.23553024,0.22951134,0.22880739,0.23337829,0.2411716,0.24991761,0.25844148,0.2660987,0.2717416,0.27394512,0.27201498,0.26651868,0.25822508,0.24606568,0.22757143,0.20275968,0.17967397,0.17439182,0.20270634,0.26708055,0.35066065,0.42536315,0.46968392,0.48162434,0.4755466,0.46910548,0.47048596,0.47785047,0.4832157,0.480419,0.4672854,0.44762644,0.42657796,0.40855262,0.39452112,0.38635126,0.38643184,0.3973784,0.41556993,0.433326,0.44178584,0.43913326,0.42873088,0.41743422,0.40925816,0.40643796,0.40840414,0.4133105,0.41782904,0.41890347,0.4159801,0.41072914,0.40602648,0.4040495,0.40550315,0.41043302,0.41662613,0.42232844,0.4248538,0.42478624,0.42204547,0.41792277,0.4123344,0.40782714,0.40793917,0.41540423,0.42908946,0.44390786,0.45557174,0.46187028,0.4636313,0.4619952,0.45893764,0.45761856,0.46054187,0.4676499,0.47429773,0.47484004,0.46567842,0.44792977,0.42696097,0.41001633,0.40417168,0.41211578,0.4309162,0.45238853,0.46882367,0.4772381,0.47954416,0.47848812,0.47429404,0.46579835,0.45297733,0.43727183,0.42023405,0.40212783,0.38396135,0.36757746,0.35616267,0.3523862,0.3589448,0.37627363,0.4011397,0.42508462,0.43993378,0.44189814,0.4349494,0.42511693,0.4181038,0.41617373,0.42095438,0.43123126,0.44320464,0.44998202,0.4469384,0.43353727,0.41421023,0.394649,0.38144556,0.38003638,0.39221415,0.41278365,0.43044767,0.43530598,0.42427266,0.40330073,0.38304698,0.37628868,0.3945423,0.4409163,0.5043519,0.5601073,0.5862045,0.57643455,0.5431653,0.50425637,0.47382343,0.46072748,0.4699658,0.4978877,0.5292824,0.5435638,0.53102374,0.49783766,0.46096098,0.4347521,0.4282414,0.44515035,0.48122033,0.5221746,0.5464494,0.5419967,0.5116289,0.4716344,0.4375111,0.4212743,0.43062735,0.4665703,0.5178873,0.56176925,0.5790377,0.5658626,0.53547007,0.5053818,0.48829532,0.48842755,0.50379163,0.52526575,0.54045683,0.5374009,0.5153373,0.4828551,0.4566399,0.44936976,0.4679022,0.50756806,0.55487114,0.5913202,0.60311466,0.58986527,0.56192404,0.53430825,0.5169261,0.51613957,0.53315645,0.5635019,0.5945246,0.61148787,0.60753125,0.5869793,0.56157637,0.54226154,0.537263,0.54962677,0.57515174,0.60078335,0.6108574,0.597076,0.5635324,0.5224209,0.48684537,0.4668796,0.46946278,0.4943895,0.5311864,0.56059104,0.56644267,0.5449179,0.505315,0.46167853,0.42569125,0.40344694,0.39462674,0.39279005,0.3895049,0.38006517,0.36576068,0.3495469,0.33101925,0.30816227,0.28218028,0.26027873,0.24920897,0.25062788,0.26022387,0.2733376,0.2868836,0.2988448,0.3074106,0.31243983,0.31598613,0.3194543,0.32063675,0.31421244,0.29650083,0.26896146,0.23980649,0.22233896,0.23316626,0.28327498,0.3682846,0.46402135,0.54020053,0.57883185,0.58324355,0.56839496,0.5474234,0.5264878,0.5086006,0.497211,0.49423298,0.49762216,0.5020142,0.50261676,0.4974748,0.4870421,0.47344127,0.46011186,0.4512756,0.4498141,0.4554864,0.4651105,0.47413242,0.47905812,0.47939327,0.47885737,0.4826765,0.49291563,0.5047371,0.50965077,0.5021489,0.48419824,0.4630358,0.44528437,0.43395784,0.42863235,0.42812505,0.43093714,0.43546125,0.4396595,0.44222096,0.44289696,0.44237748,0.44130728,0.44041666,0.44082344,0.44395986,0.4508122,0.46085486,0.47205684,0.4805371,0.48334387,0.48163506,0.48413578,0.5014415,0.5368975,0.5799475,0.6135799,0.6261743,0.61840373,0.5977501,0.5721982,0.5465069,0.5246219,0.5084408,0.49911234,0.49724886,0.50651455,0.53127766,0.570659,0.6146067,0.6464451,0.6542508,0.6356651,0.5992306,0.55618614,0.51709634,0.48754427,0.4693767,0.46207905,0.46627235,0.4832658,0.5106407,0.5388458,0.5544345,0.55017334,0.529896,0.5054095,0.4860777,0.4749367,0.46956155,0.467514,0.4674476,0.46966133,0.4744812,0.4818882,0.48992512,0.49514544,0.49479815,0.49003288,0.4864099,0.48992848,0.5028929,0.5218201,0.5408284,0.55438936,0.560384,0.5605003,0.56099486,0.5699758,0.5906136,0.61586285,0.6305029,0.62287873,0.59399825,0.5565994,0.5254026,0.50759023,0.5020223,0.50269395,0.5051107,0.5074715,0.5100946,0.51247627,0.5132776,0.5118085,0.50920683,0.50754756,0.507734,0.5088673,0.50942916,0.5087661,0.50721174,0.5048948,0.50191456,0.4998215,0.50276107,0.5134748,0.5294078,0.54105806,0.54021907,0.52518696,0.50319403,0.48251298,0.46873114,0.46218386,0.46174455,0.4655303,0.47262952,0.48177567,0.49211922,0.5023802,0.5114618,0.5179312,0.5215954,0.5241904,0.5290789,0.5375626,0.54671574,0.55105764,0.5470464,0.53606623,0.52394515,0.5197162,0.5328148,0.5666937,0.6131122,0.6532574,0.67014235,0.65913624,0.62902474,0.5925351,0.5580637,0.5282698,0.5025597,0.48047757,0.46378267,0.45774058,0.46939507,0.49964213,0.5393085,0.5700602,0.5784146,0.5620627,0.5310816,0.49680927,0.46677044,0.4438565,0.42927513,0.42508352,0.43190268,0.45053968,0.477132,0.50558287,0.5247538,0.5284112,0.5160404,0.49632517,0.47744957,0.46461692,0.45732903,0.453841,0.45310125,0.45481896,0.4582018,0.46048665,0.4596785,0.45599866,0.45286095,0.45276585,0.455604,0.45860294,0.4601712,0.46039435,0.46031407,0.45937762,0.45707032,0.45498216,0.4589044,0.4760394,0.509474,0.5528777,0.591357,0.6102603,0.6055308,0.5860719,0.56593513,0.5530309,0.54630023,0.53977656,0.5303078,0.5190344,0.51043624,0.5080685,0.51264405,0.5204007,0.5253373,0.52219766,0.5100282,0.491913,0.47371653,0.46035925,0.45447126,0.4544928,0.45798123,0.46364656,0.47439948,0.49288842,0.5183561,0.5430967,0.5583028,0.55836517,0.5461169,0.5283957,0.51267093,0.5020482,0.49668327,0.49487746,0.49387208,0.49065867,0.48355436,0.47594044,0.4742862,0.4831163,0.50026757,0.5182815,0.5312369,0.53736824,0.5387866,0.53636366,0.5295801,0.5178857,0.50459844,0.4971358,0.5044742,0.5300408,0.56704336,0.5991083,0.6113731,0.6005869,0.57709724,0.5549495,0.5419276,0.5372871,0.536618,0.53691816,0.5386438,0.54501486,0.55941993,0.58110595,0.60255283,0.61411715,0.6109023,0.5979198,0.5828735,0.570893,0.56051826,0.5502729,0.53951925,0.529882,0.52283454,0.52180696,0.52873677,0.5413747,0.54990864,0.545522,0.5263591,0.50171375,0.4825952,0.47529173,0.4770428,0.48130396,0.48261908,0.47999954,0.47566107,0.4728013,0.4745158,0.4832251,0.49987435,0.5215507,0.54230124,0.555305,0.55762017,0.5503028,0.53758436,0.52297825,0.5089192,0.49664447,0.4891936,0.4915574,0.50887245,0.5400693,0.57505995,0.59824586,0.5985674,0.57673717,0.54327554,0.5111478,0.48790637,0.47545066,0.47114757,0.47207436,0.47549018,0.4808335,0.4883629,0.49920356,0.513046,0.5286283,0.5425925,0.55126524,0.5516569,0.54474086,0.53507954,0.5276079,0.52353,0.52059525,0.5179766,0.5184192,0.5256737,0.5383825,0.5503601,0.55424684,0.5476181,0.5322879,0.5130938,0.49454582,0.48085055,0.47411075,0.47411522,0.4782944,0.48422948,0.49048492,0.49654606,0.50075084,0.50179845,0.5001356,0.49935952,0.50172526,0.50597066,0.50778127,0.5062971,0.50365376,0.50286293,0.5036462,0.50801086,0.52111274,0.5466273,0.5782297,0.6009591,0.6030107,0.58277667,0.5487788,0.5132793,0.49033853,0.49199525,0.520509,0.5628889,0.5961259,0.60300064,0.5832276,0.55068403,0.52267295,0.5100898,0.51697904,0.5397373,0.56961244,0.59372944,0.6024542,0.5925996,0.5687394,0.5394831,0.5159452,0.50900817,0.5243349,0.5569961,0.59159887,0.611169,0.6070543,0.5820624,0.54719275,0.5158301,0.5014374,0.5105009,0.5371346,0.5621334,0.56629735,0.5454309,0.5132058,0.4900626,0.4879055,0.50697225,0.53886753,0.57199806,0.59360695,0.59365624,0.5720959,0.5389941,0.5093766,0.49027327,0.4785398,0.4640226,0.4403918,0.4091368,0.37819457,0.35533783,0.3430467,0.3381505,0.33364305,0.32295838,0.30189398,0.27149668,0.23610789,0.20145063,0.17070282,0.14473027,0.12329402,0.10684875,0.09723088,0.09667424,0.10723573,0.12791039,0.15407197,0.17738032,0.19076853,0.19141005,0.18309127,0.17279845,0.1679089,0.17104305,0.17969126,0.1870089,0.18761122,0.17962538,0.1649612,0.14676833,0.12966476,0.11934305,0.12077615,0.13473868,0.15823077,0.18646783,0.2146502,0.2359004,0.24169068,0.22647707,0.19404882,0.15743189,0.13060479,0.119790114,0.12113553,0.12710907,0.13286969,0.14024341,0.1546493,0.18006109,0.2128241,0.24170183,0.25406358,0.24424802,0.21664603,0.18155962,0.14863159,0.12300152,0.10523075,0.093423404,0.085015595,0.07831555,0.0730052,0.07018438,0.07150207,0.07806721,0.08961954,0.104310654,0.11921713,0.13075663,0.13591295,0.1337968,0.1278581,0.12482356,0.13093744,0.14726794,0.16956085,0.19197309,0.21075849,0.22514527,0.2360087,0.24489789,0.2533981,0.2611538,0.26536438,0.261238,0.24797237,0.23036712,0.21837819,0.21789819,0.22853123,0.24381308,0.25950298,0.2741405,0.28840408,0.29996637,0.30491045,0.29923925,0.2836571,0.26270851,0.2435226,0.23036647,0.22406667,0.22276914,0.22583516,0.23547108,0.2549867,0.28571382,0.32242957,0.35550097,0.37497243,0.3780512,0.36834344,0.35226354,0.33358535,0.313982,0.29475954,0.27775574,0.26373783,0.25222048,0.24223483,0.23368041,0.22610772,0.2189442,0.21139167,0.20412453,0.19798887,0.1932285,0.18843521,0.18173634,0.17175378,0.1585037,0.14450175,0.13481987,0.13565516,0.14949186,0.17294757,0.19762552,0.21604425,0.2246703,0.22439621,0.21748598,0.20637836,0.19364917,0.18215899,0.17385004,0.1681518,0.1633932,0.15875567,0.15596467,0.15614082,0.1583864,0.15928823,0.15674578,0.15045363,0.14156614,0.13030086,0.116618924,0.1016475,0.08923776,0.08467183,0.09189875,0.11046189,0.13541299,0.1592825,0.17621653,0.18425624,0.185807,0.18509053,0.18554848,0.18813984,0.19157939,0.19353044,0.19187605,0.18498756,0.17148703,0.15060066,0.12397454,0.096999355,0.07710289,0.069325805,0.0731469,0.08345709,0.09483064,0.10429289,0.11163289,0.11727604,0.121400945,0.123230435,0.12163886,0.11528357,0.104061425,0.09038908,0.079983294,0.079342514,0.09103182,0.10977093,0.12474824,0.1264476,0.11395606,0.09425094,0.07719013,0.06793853,0.06648568,0.069077104,0.07296351,0.076492004,0.07967114,0.08236211,0.0849179,0.08745378,0.09022569,0.092931576,0.09502602,0.09594672,0.09590622,0.09587147,0.09658059,0.097365856,0.09597605,0.09026173,0.07948113,0.06507369,0.049551338,0.03575543,0.025566002,0.019559631,0.016910745,0.01643989,0.017668858,0.021285987,0.028518125,0.039962985,0.05484,0.07101691,0.085855186,0.09700003,0.102808066,0.10215304,0.095086135,0.08427531,0.07654402,0.080234505,0.10001534,0.1317519,0.16506928,0.18987562,0.20297635,0.20729627,0.20768844,0.20680463,0.20529373,0.20398085,0.20488589,0.20960774,0.21645446,0.22060223,0.21695507,0.2043431,0.1857572,0.16608238,0.14858204,0.13467929,0.12570961,0.124258034,0.13283563,0.14981198,0.16838394,0.17844336,0.1742431,0.15833323,0.1420445,0.13631244,0.14454098,0.15919626,0.16971523,0.16992192,0.16264516,0.15426113,0.14973664,0.1483074,0.14693277,0.14240892,0.13477927,0.12528536,0.11606156,0.107779555,0.10068777,0.09433656,0.088911116,0.08458836,0.081563465,0.07943929,0.07777473,0.076239936,0.07526943,0.07818382,0.093984015,0.13682121,0.21516365,0.31939843,0.4211574,0.493107,0.53071976,0.5510752,0.5738878,0.60307044,0.6335489,0.660575,0.68410784,0.70212895,0.71188134,0.7157716,0.71923774,0.72424537,0.7259443,0.7221105,0.71765846,0.7175968,0.72008353,0.7185958,0.71453357,0.714444,0.72031254,0.7210088,0.7025272,0.660001,0.5993125,0.531103,0.46885684,0.4333767,0.4430304,0.4978684,0.56811523,0.61529595,0.6159151,0.576124,0.51790804,0.46694884,0.44522002,0.46610832,0.52598816,0.5981059,0.6482606,0.6541231,0.61894226,0.56147164,0.50535125,0.47153565,0.47496,0.5160127,0.5748835,0.62294525,0.6411622,0.63073164,0.6028026,0.5683406,0.53596866,0.5170977,0.5198714,0.5401055,0.5600481,0.56254166,0.54312176,0.5109132,0.48066533,0.46645018,0.4784317,0.5166209,0.5668488,0.60419875,0.6086872,0.57681,0.5223983,0.46537805,0.42396966,0.41186988,0.43566462,0.48986593,0.55482596,0.6080075,0.6371915,0.6456931,0.6436725,0.6369195,0.6246399,0.6026297,0.56950665,0.52893376,0.48878697,0.45934042,0.44719598,0.45510027,0.47831652,0.5095746,0.53875965,0.5591479,0.5667966,0.5630838,0.5514536,0.53709394,0.5234966,0.5119302,0.5009961,0.48909673,0.47607744,0.46409097,0.45736918,0.46131492,0.4789413,0.5072495,0.5357784,0.5528851,0.5519721,0.5359628,0.5136867,0.49509695,0.48557106,0.48436865,0.48662308,0.4879113,0.48735043,0.4863368,0.48638403,0.4872901,0.48891696,0.49064097,0.492249,0.49232432,0.49073836,0.4880675,0.48605546,0.48458108,0.4825058,0.4801847,0.48291495,0.49903274,0.53181773,0.57427543,0.6113777,0.6312607,0.6307793,0.6142124,0.5869696,0.5543501,0.5232137,0.50128716,0.49398005,0.5021245,0.5240088,0.5569155,0.594634,0.6267956,0.64193606,0.636729,0.6165306,0.59130245,0.56712824,0.54577905,0.52677476,0.50983447,0.49579445,0.4864725,0.48547658,0.49406338,0.50941783,0.5232158,0.5294271,0.52718145,0.5228266,0.5219777,0.5266854,0.5324616,0.5333335,0.52509964,0.5096114,0.49310204,0.48282444,0.4823191,0.4900926,0.5011245,0.5100591,0.5141067,0.5132579,0.50884527,0.5013649,0.49062037,0.47753367,0.46553063,0.46100187,0.47068647,0.49921444,0.54311246,0.59046215,0.62304276,0.62807655,0.6035666,0.56045085,0.51420915,0.479267,0.46327862,0.4658192,0.47972617,0.49535218,0.50678986,0.5129058,0.5162782,0.5187009,0.5207961,0.52198434,0.5226093,0.52355075,0.525235,0.52575463,0.5213757,0.5099091,0.49391842,0.48125347,0.48063466,0.4954683,0.5208841,0.54524255,0.5587478,0.5576574,0.54651207,0.5317815,0.51919705,0.5109256,0.5069322,0.50552917,0.505115,0.50514954,0.5062881,0.50940746,0.5149587,0.52328676,0.5342513,0.54668075,0.556748,0.5600908,0.55429214,0.542161,0.5282757,0.5155711,0.50363207,0.49527466,0.49968398,0.5263416,0.57275873,0.61948067,0.64366275,0.63380677,0.598079,0.5525231,0.51216555,0.48352087,0.46992746,0.47131884,0.48764944,0.5154454,0.5519888,0.5901129,0.6211102,0.63159496,0.61627823,0.57962894,0.5381461,0.5064101,0.49158514,0.49151477,0.5009467,0.5156321,0.5321643,0.5484461,0.5616401,0.56976056,0.5697603,0.5610698,0.5457001,0.52924585,0.5156532,0.50554365,0.49673915,0.4884738,0.48175192,0.47754288,0.47517443,0.4740012,0.47549155,0.48143283,0.49179855,0.5028784,0.5111366,0.5140751,0.51170015,0.50495684,0.49722198,0.49290624,0.49429333,0.49914137,0.50502855,0.5156501,0.53934,0.57801193,0.6190493,0.64250064,0.63575834,0.6034229,0.5594762,0.5185022,0.48673296,0.46687815,0.45781696,0.4587219,0.46566877,0.4748915,0.48259902,0.48698643,0.48664415,0.4816542,0.47433448,0.46883163,0.46705577,0.4673213,0.4671999,0.468382,0.47497663,0.4894948,0.50927657,0.53034997,0.5477891,0.55757046,0.5550037,0.5402854,0.51839817,0.4976727,0.48293042,0.47493175,0.47207284,0.47340986,0.47801563,0.48412427,0.48953548,0.49319187,0.4952037,0.49605075,0.4961517,0.4966493,0.49874243,0.50165963,0.5023129,0.49820197,0.4916887,0.48848143,0.4932916,0.50640386,0.5270618,0.55614346,0.59303427,0.6308815,0.6569565,0.66217047,0.64602333,0.615928,0.57975715,0.5437157,0.5121878,0.489496,0.47893047,0.48282656,0.50207406,0.53423333,0.57119507,0.6007883,0.614699,0.6140824,0.60697764,0.59959716,0.5917749,0.58064276,0.5654039,0.5484931,0.53307086,0.5221419,0.51861113,0.5234689,0.5331145,0.539679,0.53690976,0.5249582,0.50943154,0.495324,0.48435187,0.477456,0.4780188,0.49012637,0.5136618,0.54244715,0.5672598,0.5811992,0.58230877,0.573231,0.55870414,0.54341334,0.53033495,0.5201731,0.51167196,0.50253934,0.49130276,0.47885573,0.47052005,0.47453833,0.49891925,0.5427509,0.59409803,0.6313148,0.6378063,0.6094542,0.560021,0.5099183,0.47778657,0.46998975,0.48047718,0.49526504,0.5018145,0.4982239,0.492111,0.4943218,0.5072131,0.52495384,0.53823215,0.54307944,0.5406133,0.53381306,0.52422833,0.51206,0.49828508,0.48522708,0.47771534,0.48108533,0.49737057,0.52209383,0.54480404,0.5574406,0.5572601,0.54877967,0.535533,0.5206589,0.5050594,0.49233246,0.48557353,0.4865738,0.4933538,0.5028364,0.51292443,0.52314323,0.53217787,0.537993,0.5388899,0.53773886,0.53819007,0.5431235,0.5490735,0.55128723,0.5454643,0.535127,0.529659,0.5410323,0.5720399,0.6122064,0.64218694,0.647445,0.6273251,0.5925045,0.55696654,0.5292413,0.5121041,0.5033881,0.5005984,0.5033243,0.5145326,0.5371049,0.5669574,0.5914054,0.5957598,0.5757084,0.5415883,0.51058006,0.4949707,0.4954566,0.50565857,0.517217,0.52582556,0.5309028,0.5361705,0.5446546,0.5561063,0.56440467,0.5637591,0.55259806,0.53572035,0.5180927,0.50267625,0.49036333,0.48317918,0.4827695,0.4880904,0.4943565,0.49605808,0.4901575,0.47804454,0.4648852,0.45770153,0.46194243,0.47858405,0.5034609,0.52953523,0.55087733,0.56493706,0.57314676,0.5795626,0.58938766,0.60736066,0.633305,0.6609853,0.6778862,0.67550296,0.65274066,0.61848336,0.58281356,0.5564565,0.5488906,0.5655339,0.599319,0.62866664,0.6327434,0.6061713,0.56352144,0.52308613,0.49774584,0.49311957,0.51251334,0.552307,0.5975618,0.6275572,0.6284333,0.6019883,0.55981594,0.5145655,0.47267655,0.43732476,0.41077852,0.39644778,0.3944646,0.40005732,0.40505603,0.4038222,0.3958918,0.384408,0.37231955,0.3600669,0.34495866,0.3229935,0.29252252,0.2579488,0.2283143,0.21185167,0.21170902,0.22646408,0.25316182,0.28763095,0.32343197,0.3522489,0.36672667,0.36577535,0.35678843,0.35574508,0.37827268,0.42965508,0.49773517,0.5593891,0.594835,0.59948057,0.5837822,0.56401145,0.55290514,0.55622107,0.5725412,0.59459454,0.61228865,0.61729527,0.6079194,0.587177,0.56140476,0.5373582,0.5247418,0.5316377,0.55896217,0.5947294,0.6205361,0.6221432,0.5981851,0.5574354,0.5116733,0.4686749,0.43128383,0.3994461,0.37189797,0.34669843,0.32045117,0.29239354,0.26705024,0.25530592,0.2655351,0.29649282,0.3352414,0.3659713,0.3793471,0.3758618,0.36199796,0.3431505,0.32149482,0.2977421,0.27627403,0.2644455,0.26766446,0.28301892,0.30132863,0.31302783,0.31398115,0.3054949,0.2954675,0.29951406,0.33478808,0.40673372,0.49711862,0.5747626,0.6148465,0.6167512,0.5966539,0.5743368,0.5593829,0.5524617,0.5494169,0.54722786,0.54467136,0.54139805,0.5367728,0.53015417,0.52214557,0.5141226,0.5073166,0.50157744,0.49662325,0.49262738,0.49095014,0.49184158,0.49444985,0.49709392,0.500154,0.50551134,0.51418674,0.5240955,0.531225,0.53373307,0.53280926,0.5313804,0.53083813,0.53151304,0.5330165,0.53534275,0.5373604,0.53794247,0.5359029,0.5325012,0.5298837,0.53089195,0.53568214,0.54203254,0.54578876,0.54414946,0.53703004,0.5266095,0.5150641,0.50226337,0.48776484,0.47458935,0.47292995,0.49409005,0.53999805,0.5963742,0.64088875,0.6582153,0.64849263,0.6218369,0.5893498,0.5575796,0.53103095,0.5116684,0.50053114,0.49554583,0.49378374,0.490994,0.48401472,0.47252098,0.46013054,0.45276418,0.45457932,0.4660188,0.48396292,0.50410295,0.5226647,0.5372009,0.5467275,0.5515332,0.5524318,0.5506048,0.54707485,0.5436216,0.54148555,0.5416811,0.54358405,0.54659206,0.5490482,0.5497685,0.5474434,0.5426435,0.5369513,0.53267115,0.53122514,0.5323265,0.5340123,0.5333927,0.52893025,0.5208958,0.5109576,0.50032955,0.48944572,0.47878623,0.46942452,0.46286085,0.45883906,0.4546989,0.4459566,0.42959046,0.40627298,0.38002858,0.35558608,0.33507892,0.31754377,0.30023265,0.28177938,0.26320943,0.24733603,0.23622525,0.23047006,0.2291836,0.23140658,0.23603731,0.24211442,0.24857824,0.25467077,0.26008987,0.26453856,0.2676718,0.26869634,0.26674372,0.26021674,0.24685204,0.22524242,0.19767427,0.1707723,0.15175839,0.14319634,0.14204852,0.14286345,0.14229827,0.1393773,0.13465184,0.12846796,0.12141395,0.113991626,0.10681922,0.10010751,0.09372613,0.0872173,0.08026319,0.07292784,0.0654969,0.058101993,0.050791856,0.044160888,0.0398362,0.040218648,0.046934485,0.05927111,0.07367393,0.086220175,0.09538505,0.1028013,0.11039817,0.117681295,0.12222057,0.12209258,0.11774784,0.1107877,0.102912255,0.09520135,0.08882314,0.08472302,0.08332273,0.084409,0.08747721,0.091606565,0.095262416,0.09754347,0.10037571,0.1078971,0.122348465,0.1392219,0.1492659,0.14444904,0.124730684,0.09702903,0.07168319,0.056887064,0.057377744,0.07231359,0.09601312,0.119012974,0.1337959,0.13818459,0.13613887,0.13282311,0.13111356,0.13046348,0.1293488,0.12689064,0.12352076,0.12009862,0.11720034,0.1144115,0.110745676,0.106074214,0.10144994,0.09823945,0.095225,0.08995074,0.080752335,0.070126496,0.061471034,0.05704515,0.056636587,0.061785366,0.075724445,0.10031003,0.13102286,0.15797792,0.17268936,0.17413266,0.1700985,0.17033549,0.1802622,0.19702898,0.21390213,0.22515027,0.22948106,0.2280829,0.22231883,0.21319544,0.20219727,0.19145532,0.18193354,0.17293121,0.16278003,0.15123929,0.13970412,0.13035874,0.124203004,0.12093744,0.11943048,0.11875802,0.11826733,0.11762079,0.11651829,0.11476695,0.11218867,0.10882611,0.10499244,0.101222925,0.09803882,0.09573946,0.094461225,0.09411923,0.094454356,0.09498185,0.095318474,0.09536838,0.09538848,0.09567969,0.096429355,0.09754621,0.098728366,0.09932367,0.09867876,0.09630694,0.09273497,0.08946083,0.08912707,0.09339275,0.10199954,0.1116446,0.11905119,0.12238032,0.12268155,0.12136046,0.1194871,0.11720666,0.11503041,0.11355871,0.11317894,0.11323476,0.11267367,0.11051658,0.10684925,0.102245025,0.09756821,0.09318278,0.0893828,0.08624253,0.08383586,0.08197095,0.08045343,0.07921248,0.07833756,0.07800844,0.07826019,0.07902315,0.079801865,0.07991544,0.078541495,0.07538288,0.07070014,0.06541776,0.060616147,0.05723372,0.05561355,0.055383924,0.05558252,0.055177104,0.05376831,0.05244182,0.054298103,0.063886575,0.084050976,0.11212001,0.13878913,0.1535299,0.15248542,0.14119165,0.12906663,0.12096632,0.116653025,0.115566455,0.121046156,0.13582243,0.15706562,0.17666923,0.1879402,0.19016363,0.18724723,0.18345822,0.18063278,0.17866985,0.17662956,0.17399365,0.17063595,0.16684307,0.1623869,0.15619679,0.14677699,0.13370642,0.11927268,0.10797601,0.10473577,0.11149293,0.12615694,0.14323871,0.15743317,0.16595805,0.16918497,0.16890745,0.16687931,0.16412984,0.16072814,0.15605593,0.14937253,0.14067763,0.13008125,0.11778086,0.104466416,0.09334525,0.089158475,0.09551608,0.11157272,0.13230428,0.15164094,0.165663,0.17375015,0.1773525,0.17852645,0.17900483,0.17959358,0.18030997,0.18131125,0.1841489,0.19166058,0.2058273,0.22622764,0.24916995,0.2689272,0.27890202,0.27472138,0.25665858,0.23039283,0.20390326,0.18319793,0.16996925,0.16252518,0.15850137,0.15672565,0.15744992,0.16163374,0.17002451,0.1823409,0.19633298,0.20778017,0.21232294,0.2081291,0.19748174,0.18499075,0.1745687,0.16730331,0.16217448,0.15795618,0.154068,0.15045975,0.14698379,0.14383847,0.14158148,0.14063193,0.14030547,0.13881661,0.13426375,0.12618093,0.11636638,0.109101094,0.10845855,0.11570287,0.12703663,0.13687484,0.14116,0.14018244,0.13635002,0.13212763,0.12846166,0.12568827,0.12424504,0.1248037,0.1273847,0.13078679,0.13304193,0.13299246,0.13153504,0.13167858,0.1365369,0.14703016,0.16037886,0.17160775,0.17627239,0.17303045,0.16369116,0.15168546,0.13993913,0.13003293,0.122362465,0.117502026,0.116194695,0.11898544,0.12480096,0.13173811,0.1382923,0.14456515,0.15114594,0.15739524,0.16102976,0.15971507,0.15308945,0.14305352,0.13251165,0.123646684,0.11722827,0.11283588,0.10964825,0.1071307,0.105160214,0.10377556,0.10275353,0.10169979,0.10031101,0.09856395,0.09659896,0.09452932,0.09251285,0.09071615,0.08929805,0.08817581,0.08718089,0.08614399,0.085095644,0.084064394,0.08298647,0.08156672,0.079430275,0.07630003,0.07219488,0.069099516,0.07259828,0.09278061,0.13674086,0.20007908,0.26291534,0.30358917,0.3153267,0.3107209,0.30795506,0.3143717,0.32729986,0.34235767,0.35882667,0.37420377,0.38218352,0.38049364,0.3738942,0.37126112,0.37373802,0.37816837,0.38302788,0.39159164,0.40519294,0.4171188,0.42158642,0.41712943,0.4095154,0.40009165,0.39071715,0.38593277,0.39570212,0.4223843,0.45423794,0.47243676,0.4660846,0.44030777,0.40897608,0.3848767,0.37310138,0.3712969,0.37277123,0.3701243,0.36010382,0.34398785,0.32654524,0.31154278,0.3012742,0.29673466,0.29977474,0.31113932,0.3289036,0.34692332,0.35880628,0.3604436,0.3530917,0.3441216,0.34909916,0.38668263,0.46427688,0.56552124,0.6546686,0.7021938,0.7033468,0.6778653,0.64721745,0.62186337,0.59857965,0.573395,0.54571974,0.5212479,0.5046284,0.4972179,0.49473056,0.4919972,0.48699117,0.48227537,0.4823791,0.48872504,0.49874517,0.5071461,0.5105886,0.50828904,0.5026598,0.49709257,0.49683324,0.5043668,0.5176901,0.5277659,0.5276506,0.51660913,0.502061,0.48992038,0.48203135,0.4771491,0.4766214,0.48329827,0.49741295,0.5140745,0.5261984,0.53009534,0.5277669,0.5248274,0.5251847,0.52847344,0.53057367,0.5275848,0.5177755,0.5020354,0.48235694,0.4618832,0.44629416,0.4441023,0.46442184,0.50873226,0.5675176,0.62138677,0.6547261,0.6621766,0.6503988,0.62821597,0.60268384,0.57777506,0.5572574,0.54434824,0.54149413,0.549612,0.5682671,0.5923982,0.61285144,0.61973107,0.61155003,0.5958128,0.5829026,0.57603747,0.5703296,0.5586094,0.5383058,0.51377624,0.49385497,0.48728642,0.49617422,0.5136326,0.5268669,0.5269618,0.51493,0.500012,0.49088132,0.4893118,0.49150112,0.4935927,0.49505922,0.49693084,0.49900898,0.49967542,0.4981831,0.49587145,0.49531004,0.497926,0.5033025,0.50915956,0.51317924,0.51378244,0.5108226,0.50443125,0.49448946,0.48259354,0.47469935,0.4822372,0.5134183,0.5654394,0.61975735,0.6553609,0.66030604,0.6405482,0.6102608,0.58347684,0.565727,0.55714345,0.5548093,0.55632097,0.55869037,0.55848974,0.5528603,0.54138273,0.52676564,0.51264864,0.5021623,0.49620435,0.49412635,0.4945536,0.4968319,0.5014325,0.5087521,0.51843095,0.5294044,0.5403509,0.54987764,0.55582285,0.55732346,0.5551118,0.5520139,0.54917914,0.5454244,0.53776747,0.52560586,0.511556,0.4999689,0.49287948,0.48951864,0.48839787,0.4896427,0.49413124,0.5005801,0.5053025,0.5044605,0.49746013,0.48737922,0.47870657,0.47455385,0.4749975,0.47879517,0.48644078,0.50274056,0.53330106,0.57756454,0.6239863,0.6560514,0.6628601,0.64591813,0.6151042,0.5813747,0.55194813,0.5296256,0.51395446,0.50364655,0.5004423,0.50991726,0.5351422,0.56923777,0.5937231,0.5923465,0.5625616,0.52030677,0.48486733,0.46785197,0.46654508,0.4729594,0.48009452,0.48724496,0.4965074,0.5098981,0.5252731,0.5374735,0.5406191,0.5326631,0.51633054,0.49768248,0.48214903,0.47248742,0.4690437,0.47161877,0.47977182,0.4920795,0.50488687,0.5138586,0.5154461,0.5090274,0.4969162,0.48426223,0.47677377,0.4770086,0.48283914,0.4894499,0.4946244,0.4994069,0.5063264,0.5170278,0.5338364,0.5596149,0.5937056,0.6279583,0.64946705,0.6490333,0.6278936,0.59491676,0.5613771,0.53382397,0.51582986,0.50653905,0.5042927,0.504494,0.5032683,0.4979638,0.48986614,0.4826369,0.4800732,0.4837838,0.49150077,0.499153,0.5024708,0.50178236,0.50004774,0.50158453,0.50657046,0.51334524,0.51964223,0.5252479,0.5298936,0.5326953,0.5333424,0.53351617,0.5360522,0.5417206,0.54817724,0.55141324,0.5486431,0.53948355,0.5257263,0.5108927,0.4993868,0.4954282,0.49988142,0.50992256,0.5193331,0.5238076,0.5217224,0.5150652,0.5049705,0.49212006,0.47699985,0.46339476,0.4584407,0.4704512,0.503552,0.5521094,0.60124755,0.63363075,0.64024204,0.62376875,0.59496903,0.5644936,0.538693,0.5188931,0.5036973,0.4917713,0.4848955,0.4884914,0.50795215,0.5421168,0.5801707,0.60710526,0.61411524,0.60425544,0.58710814,0.5697527,0.5532498,0.5370881,0.52241284,0.51110476,0.50330895,0.4994888,0.50065917,0.50678587,0.5123437,0.5114358,0.5024099,0.49142733,0.4848504,0.4849862,0.48879448,0.4929031,0.49579325,0.497339,0.49712682,0.49428833,0.48892608,0.48221913,0.47568035,0.47034886,0.46745074,0.4683517,0.47366944,0.4816297,0.48898807,0.4920108,0.48973504,0.48529947,0.4876944,0.50695574,0.5467897,0.5984101,0.64431,0.669354,0.6690333,0.6497821,0.62142324,0.59241605,0.5656727,0.54149336,0.51821786,0.49814358,0.48549986,0.48491776,0.49580297,0.51278853,0.52871734,0.53790337,0.5383263,0.53129935,0.52119035,0.5129579,0.50878876,0.5067324,0.5031455,0.49774447,0.49510917,0.49978912,0.51094437,0.52178997,0.52650934,0.5250142,0.52199715,0.5215524,0.523784,0.52622694,0.5263647,0.52373886,0.5195532,0.51521754,0.5106866,0.5044135,0.4953048,0.48483798,0.47588137,0.47018674,0.46612623,0.46134552,0.454965,0.44875145,0.44437996,0.44200316,0.44185945,0.44654742,0.46342933,0.49691615,0.54396397,0.5877247,0.61162615,0.60751337,0.58530897,0.56010526,0.545525,0.5457285,0.55970937,0.5803177,0.5973642,0.60087156,0.5885238,0.5663939,0.54548955,0.53607386,0.54563373,0.57543284,0.6164587,0.64995295,0.65817404,0.6373172,0.59952146,0.5621452,0.53668046,0.5282605,0.53966504,0.57023174,0.6101435,0.64183706,0.65164024,0.6391296,0.6156247,0.59385186,0.5822888,0.5847159,0.6001795,0.62084967,0.6329097,0.62525725,0.59783083,0.56164473,0.53189546,0.5196175,0.5314414,0.56404114,0.60477906,0.6300976,0.6231315,0.5833575,0.5309457,0.4886478,0.46717355,0.45885763,0.44724414,0.42006174,0.37645873,0.32551607,0.27806005,0.24148579,0.21812183,0.20821251,0.21000302,0.22018333,0.23377286,0.2468403,0.2575988,0.2659719,0.27210453,0.27557024,0.27622935,0.27379045,0.26797405,0.25779462,0.24362642,0.22764646,0.21369386,0.20413284,0.19861181,0.19425918,0.1882627,0.17917834,0.16710015,0.15250683,0.13582753,0.11789957,0.100357026,0.0850222,0.07272016,0.063749,0.05967815,0.06407563,0.07942691,0.10343171,0.12849185,0.14698255,0.15575117,0.15721619,0.1551093,0.15194784,0.14810236,0.14364076,0.13840002,0.13232319,0.12510256,0.11696812,0.108453386,0.100287646,0.09303832,0.08734071,0.083925955,0.08291406,0.08356485,0.084171034,0.08338336,0.08056143,0.076277405,0.07148036,0.06719607,0.06382234,0.06121989,0.058897924,0.056560945,0.054210883,0.05200456,0.049998343,0.048150387,0.046398506,0.0446976,0.043014217,0.041333605,0.039688766,0.038090136,0.036528822,0.034996923,0.03359807,0.032465205,0.031668294,0.031104917,0.030608313,0.030056722,0.02944927,0.02882505,0.028171001,0.02737479,0.026295483,0.02486729,0.02320083,0.02154147,0.020167053,0.019204242,0.018600589,0.018160196,0.017715195,0.017186046,0.016618693,0.016097939,0.01571827,0.015530138,0.0155560225,0.015774209,0.016381914,0.018111186,0.022624426,0.031660005,0.045876574,0.063345075,0.08056792,0.09397095,0.10216864,0.10560409,0.105898805,0.10441455,0.10221896,0.100005485,0.098224826,0.09690747,0.09570471,0.09428678,0.09279809,0.09240862,0.09539317,0.10470008,0.12193719,0.14544608,0.16965382,0.18795227,0.19627549,0.19523521,0.18883054,0.18179543,0.17754866,0.17683987,0.17773502,0.17623907,0.1692509,0.15699321,0.1434261,0.13348518,0.12994982,0.13361008,0.1440012,0.15995245,0.1769983,0.18868047,0.1899748,0.1819796,0.17063396,0.16218348,0.1586049,0.1572705,0.15343583,0.14358552,0.12743671,0.10799048,0.08967612,0.07589657,0.06781518,0.064750545,0.06551027,0.06888766,0.07340575,0.077187754,0.078607656,0.07732591,0.07423872,0.07075235,0.06771342,0.065262586,0.06304809,0.06070021,0.058117256,0.05559675,0.05381224,0.053483803,0.055450764,0.06036231,0.06842578,0.077671535,0.08448044,0.08527488,0.081139185,0.07777088,0.08241858,0.097164094,0.116981946,0.13227892,0.13546745,0.12529887,0.10716834,0.08945355,0.07980525,0.082174264,0.09535263,0.11250994,0.12427852,0.124170184,0.11231839,0.09412992,0.07535855,0.05908756,0.045893352,0.03575023,0.02864244,0.024296774,0.021985883,0.021002898,0.021191753,0.022967907,0.026760256,0.032293145,0.03825146,0.042673085,0.043960422,0.041771185,0.037224833,0.032095913,0.027821755,0.024865009,0.022960534,0.02160178,0.02046965,0.019426586,0.018452674,0.017534705,0.01669199,0.015933888,0.015271963,0.014688279,0.0141643835,0.013694495,0.013286685,0.012950885,0.012640164,0.012282371,0.0117995255,0.0112252645,0.010663406,0.010242756,0.009963936,0.009730506,0.009414879,0.008988013,0.008500542,0.008021472,0.007585199,0.0071911965,0.0068478007,0.0065489225,0.0062951166,0.0060507283,0.005789841,0.005470539,0.0050838,0.004635567,0.0041692555,0.0037338138,0.0033699924,0.003089546,0.0028747737,0.002695218,0.0025154275,0.0023115363,0.0020653496,0.0017773007,0.0014548261,0.0011238662,0.0008179785,0.0005897381,0.00048717053]