[0.032429717,0.032762993,0.033820275,0.03595219,0.039246496,0.043446925,0.04804181,0.052523274,0.05654082,0.059987217,0.063081615,0.06622315,0.06988117,0.074039064,0.07787237,0.080483235,0.08301557,0.09115962,0.1123111,0.14979936,0.19614835,0.23793542,0.26449892,0.2776632,0.28663957,0.30063924,0.32031032,0.3417151,0.3594823,0.37126014,0.37550107,0.37169304,0.35996827,0.34219602,0.3215668,0.30186507,0.2868162,0.27904668,0.27940604,0.2861891,0.29583344,0.30429876,0.30993915,0.31434596,0.3208111,0.33004597,0.33882502,0.3424892,0.3389031,0.32935098,0.31608832,0.3011208,0.2868893,0.27757892,0.2770611,0.2860912,0.30110648,0.3170778,0.3300312,0.33739114,0.33765242,0.3315542,0.32519826,0.32639363,0.33931136,0.35927615,0.37872764,0.39375564,0.40640438,0.41901466,0.42917904,0.43156266,0.42262802,0.40451744,0.38331458,0.365489,0.35467985,0.35058594,0.3497715,0.34735453,0.34036967,0.33121362,0.32765245,0.33734822,0.36035028,0.38763714,0.40772483,0.4148159,0.41127574,0.40296265,0.39492795,0.38963142,0.38786554,0.38874602,0.38930535,0.38650492,0.37878433,0.36812136,0.3572758,0.3489494,0.34388438,0.34242067,0.34346035,0.34490812,0.34411654,0.3411528,0.33969438,0.3444271,0.3559824,0.36977434,0.3799003,0.38457152,0.38642815,0.38886094,0.39207602,0.39402747,0.39283362,0.38810658,0.3789164,0.36422658,0.34501132,0.3276969,0.31985828,0.32518137,0.33936712,0.35560337,0.3684506,0.37556514,0.3750541,0.36600438,0.35048667,0.332037,0.31309026,0.29201165,0.26806632,0.24294282,0.22206707,0.20872857,0.20366216,0.20538561,0.21336782,0.22623281,0.24022818,0.25027284,0.25585425,0.26316154,0.2803096,0.3086882,0.34063146,0.36560035,0.37756288,0.37747097,0.36936352,0.35702717,0.34292993,0.32924226,0.3182796,0.31112006,0.30758297,0.30593172,0.30460933,0.30075356,0.29167974,0.27609548,0.25914404,0.24985307,0.2561635,0.27672854,0.3030585,0.32450193,0.33593264,0.33748963,0.3332168,0.32702592,0.32170486,0.31867906,0.31878245,0.32281354,0.3302811,0.34044972,0.35233316,0.36536595,0.37714338,0.3849009,0.3881534,0.39069486,0.3959454,0.40359414,0.40951064,0.41189066,0.4109955,0.4076096,0.39909434,0.38365865,0.3624009,0.3399104,0.31978762,0.30392244,0.29412434,0.293952,0.30563185,0.32647213,0.34782824,0.36111864,0.3619509,0.35182726,0.33389667,0.31159177,0.28848258,0.26781067,0.25112024,0.23667043,0.2233299,0.21140295,0.20408762,0.20470805,0.21837878,0.24911964,0.2958727,0.3472401,0.3869772,0.4049194,0.40491524,0.39947256,0.39835167,0.40222606,0.40572333,0.4043256,0.3969123,0.38526776,0.3718592,0.35992977,0.3517224,0.34701383,0.34076938,0.32689777,0.30445758,0.28294232,0.27696374,0.29394743,0.32662013,0.3575016,0.37337133,0.37191355,0.36016575,0.34497675,0.33041525,0.31828746,0.31104645,0.31035638,0.31532648,0.3222783,0.32712483,0.32682523,0.32016575,0.3082612,0.29652184,0.29408953,0.308244,0.33835807,0.37371293,0.40170345,0.4143702,0.41301122,0.40290824,0.39135644,0.38356423,0.38347614,0.39006057,0.39950308,0.4053348,0.40423134,0.3951395,0.38076627,0.36414275,0.3494772,0.33986893,0.33709884,0.33960918,0.3443048,0.34758392,0.3472506,0.34034148,0.32438555,0.2995169,0.27368507,0.26002693,0.2690272,0.298226,0.33292267,0.35561502,0.35916138,0.3487196,0.33593833,0.3280897,0.32474947,0.3192908,0.30554917,0.28211963,0.25367808,0.22718762,0.20786934,0.19624306,0.19013594,0.18669365,0.1849562,0.18442379,0.18434314,0.18328355,0.18114842,0.18008591,0.1822806,0.18763536,0.19357933,0.20020582,0.21136522,0.23201585,0.2615454,0.2950953,0.32809854,0.36004484,0.3912491,0.41930783,0.43934476,0.44656336,0.43835625,0.41531587,0.38267675,0.35015354,0.3279868,0.3215386,0.3283927,0.34082988,0.35176143,0.3588194,0.36456212,0.37205616,0.381778,0.39118323,0.39756882,0.3997074,0.39784768,0.39262238,0.3856051,0.37935033,0.3761429,0.37514782,0.37231568,0.36389756,0.3501542,0.33511916,0.32238588,0.3122647,0.30333683,0.29616293,0.2944127,0.30115438,0.315204,0.33085465,0.34224162,0.34593427,0.34422073,0.34355488,0.35633585,0.38708857,0.42951062,0.4589641,0.4589511,0.42744958,0.3865318,0.35568872,0.3450183,0.3491958,0.361257,0.37661162,0.3942456,0.4143349,0.43746737,0.46265793,0.484516,0.49443057,0.4880962,0.4715108,0.45447397,0.44100893,0.42339197,0.39538074,0.3587991,0.32602823,0.3048338,0.2971425,0.3003826,0.319106,0.35493326,0.40151215,0.43682536,0.44595787,0.4280633,0.40139,0.38011512,0.36978856,0.36463103,0.36053345,0.3548725,0.34846863,0.34096655,0.33458138,0.33134058,0.333348,0.33969498,0.35084054,0.37105533,0.40458396,0.44652602,0.47987595,0.48786202,0.4694465,0.44086948,0.42114922,0.41714016,0.42350474,0.43274665,0.4392334,0.43903697,0.42587757,0.3997796,0.36630222,0.33650088,0.31429917,0.29913357,0.28717476,0.27995345,0.27907416,0.28535464,0.29385662,0.30023852,0.3020539,0.30299163,0.30988362,0.3302826,0.36807713,0.41766217,0.46478748,0.49130455,0.48995122,0.4682571,0.443771,0.42926133,0.4263842,0.42923546,0.4314035,0.43001044,0.42432785,0.41681528,0.41272518,0.41988412,0.43811345,0.45712247,0.45912942,0.44072077,0.41522267,0.40289775,0.40536392,0.4052106,0.38425443,0.34300312,0.29963583,0.27328333,0.27292934,0.2976506,0.33993968,0.38783595,0.42512688,0.44037867,0.43372652,0.41703555,0.40280974,0.39449763,0.38762197,0.37706247,0.3641441,0.35344064,0.34924603,0.35098907,0.35652196,0.36156562,0.361449,0.35234034,0.33737576,0.3309259,0.34618035,0.3840177,0.42251495,0.4399073,0.4264817,0.3958814,0.36485282,0.34643686,0.3432727,0.3545777,0.3747126,0.39481893,0.4052588,0.40311992,0.39296043,0.3832561,0.3784484,0.37828484,0.37987033,0.38229477,0.3861847,0.3919979,0.3982878,0.40274298,0.40447274,0.404492,0.4066594,0.41447148,0.4311106,0.45180452,0.46775365,0.46613136,0.4456497,0.4135262,0.38557723,0.3701937,0.36912766,0.3762032,0.38579008,0.39356002,0.39887592,0.40437087,0.41443428,0.43212175,0.45262814,0.46653274,0.4648155,0.4514601,0.4365116,0.4287429,0.42323625,0.41204345,0.3915434,0.3683397,0.34932622,0.3391299,0.34036598,0.35795406,0.39076462,0.4268777,0.44511858,0.43456376,0.40378597,0.37574112,0.36673057,0.37519827,0.38777375,0.39197698,0.38490137,0.36898425,0.34886137,0.32736084,0.30805007,0.29307386,0.28436872,0.28323284,0.29527095,0.327203,0.37886265,0.43467632,0.47091863,0.47379187,0.4496849,0.41730008,0.3916191,0.37761283,0.3755925,0.38232806,0.3914155,0.39039847,0.3734125,0.34394875,0.31535748,0.2961165,0.2859018,0.27784094,0.2676703,0.25815186,0.25458062,0.26021513,0.2727884,0.28890362,0.3055439,0.32160124,0.33819512,0.35952973,0.39141414,0.43111137,0.46607634,0.47813645,0.46220568,0.42756048,0.39197955,0.36502752,0.34728655,0.33537647,0.32906425,0.3299226,0.33909413,0.3571564,0.38622162,0.424533,0.4626014,0.48382092,0.47975758,0.45762095,0.4345083,0.42028007,0.4103979,0.3960135,0.3735892,0.34724852,0.32019064,0.29612136,0.28267908,0.29431975,0.33657607,0.3981811,0.4498671,0.4718683,0.46136808,0.43572128,0.40758264,0.38272336,0.35733947,0.3293902,0.29774085,0.26477572,0.2366574,0.22412747,0.23452176,0.26545468,0.30349478,0.33771458,0.3676356,0.40030918,0.43649697,0.4639765,0.4698774,0.4517927,0.423015,0.39859152,0.38840508,0.3938327,0.4125637,0.43792966,0.45927933,0.46544114,0.45336425,0.42966273,0.4058826,0.38912964,0.38124833,0.3815973,0.38919067,0.40108016,0.41122457,0.41552472,0.41567656,0.41746804,0.42401114,0.43105546,0.4323634,0.42410326,0.40825674,0.38749304,0.3646156,0.3421953,0.32409942,0.3133893,0.3107153,0.31392977,0.31979772,0.32493612,0.32833514,0.33090302,0.3343772,0.33659554,0.3323653,0.31760117,0.2941562,0.26806778,0.24488777,0.22878492,0.22473842,0.23787121,0.26790687,0.30601144,0.33960357,0.36000094,0.36605465,0.36146495,0.3514192,0.3410386,0.3350229,0.33677685,0.34632945,0.35911,0.36580393,0.356141,0.3251489,0.27894503,0.2335518,0.206362,0.20550494,0.22657776,0.25706628,0.2856173,0.30591998,0.31641915,0.3164601,0.30631557,0.28964368,0.2728645,0.26132733,0.25384215,0.24675024,0.23889785,0.23340459,0.23038523,0.2240325,0.20924924,0.19130342,0.18413965,0.19791871,0.22848411,0.26194167,0.28631133,0.29954073,0.30555245,0.3075,0.30453274,0.2955291,0.2820833,0.2690139,0.25904074,0.25070545,0.23794152,0.21603125,0.18521225,0.15351191,0.13310203,0.13481694,0.16025841,0.2007528,0.24092834,0.26906547,0.28140524,0.28258273,0.27880338,0.27411756,0.26892707,0.26180223,0.25131628,0.23687394,0.21971266,0.2022353,0.18702859,0.17534924,0.16741884,0.16381447,0.16580819,0.17415716,0.18693626,0.19991909,0.20876414,0.21189767,0.2106607,0.20762922,0.20423003,0.20047325,0.19555259,0.18913959,0.18109171,0.17153709,0.16066764,0.14959033,0.14034909,0.1356343,0.1380487,0.1491854,0.16874295,0.19321613,0.21676846,0.2333142,0.24013771,0.23827511,0.23125805,0.2223018,0.21375215,0.20698352,0.2021972,0.20021887,0.2045188,0.22411434,0.2636535,0.3157465,0.3575101,0.37175575,0.36181688,0.34936598,0.35054484,0.3616036,0.37076977,0.37476596,0.3799987,0.38809523,0.3886813,0.3749555,0.3512212,0.33230874,0.32441893,0.32528666,0.33035353,0.33965477,0.3535422,0.36722922,0.3777261,0.38954183,0.41138926,0.4432751,0.47191897,0.48273572,0.47255036,0.45145583,0.43179274,0.4194449,0.41392818,0.4120663,0.41167215,0.41137484,0.41149524,0.4125792,0.41493818,0.41738895,0.41890904,0.4201436,0.42397574,0.43355894,0.44782946,0.46152458,0.4672754,0.46353674,0.45372486,0.4446176,0.4390448,0.43796623,0.4408772,0.44846246,0.4597106,0.4725814,0.48493275,0.49676928,0.50716275,0.5125752,0.50743926,0.4908571,0.4684256,0.44774,0.43169904,0.41728672,0.40231118,0.38859138,0.38111082,0.38136792,0.38763776,0.3976291,0.414754,0.44134405,0.4750463,0.5018334,0.51081777,0.49716794,0.46857837,0.43189454,0.39529538,0.3668765,0.3574721,0.3705517,0.3972728,0.42060277,0.42889252,0.42229167,0.40992066,0.40064526,0.39891103,0.40332186,0.4087341,0.40913153,0.40195227,0.39010957,0.37964228,0.37491277,0.3758402,0.3807887,0.3898259,0.40730628,0.43291187,0.46035382,0.47476694,0.47003984,0.44888976,0.42520764,0.40732563,0.39866674,0.39625487,0.39826772,0.40302798,0.40954924,0.41642138,0.42267048,0.42732632,0.4297874,0.42972842,0.42854527,0.42898127,0.43286213,0.43925467,0.44387874,0.44458926,0.4413439,0.43746904,0.43361995,0.4301894,0.42587158,0.4212732,0.41622803,0.41118404,0.40704513,0.40703,0.41579285,0.43359753,0.453975,0.46437812,0.4588782,0.44208983,0.42770875,0.4254746,0.43609938,0.45241618,0.46510422,0.46691024,0.45509365,0.43448034,0.41728708,0.41566643,0.4322838,0.4559368,0.47143516,0.4709688,0.45906392,0.4446826,0.4342495,0.42908752,0.42945254,0.4328204,0.4354423,0.43099093,0.4197705,0.40605986,0.3974508,0.39362788,0.39030132,0.38233766,0.3723657,0.36656234,0.3699572,0.3805293,0.392342,0.39898267,0.39810172,0.391155,0.38430932,0.38568342,0.40045992,0.4239843,0.44275865,0.4443263,0.42798746,0.40421903,0.38459417,0.37367043,0.36959934,0.37039575,0.374961,0.38309407,0.39184415,0.39972267,0.40547815,0.4108441,0.41516697,0.41824305,0.41947713,0.42245045,0.43028906,0.44363424,0.45664525,0.4627304,0.45857957,0.4479395,0.43710533,0.4308841,0.42987648,0.43199146,0.43471265,0.43754414,0.44235373,0.45315948,0.47007307,0.48776984,0.49486086,0.48471078,0.45926416,0.42909455,0.40307713,0.38456598,0.37241033,0.36613652,0.36570588,0.36960447,0.3752418,0.38211456,0.39437732,0.4128069,0.43280292,0.44174695,0.43498206,0.41529664,0.39469913,0.3792565,0.37158263,0.3708708,0.3783438,0.39271507,0.4079175,0.4157727,0.41210434,0.3999672,0.3861257,0.37579498,0.37074646,0.36986372,0.3717822,0.37485418,0.3783554,0.38155952,0.3844205,0.38699532,0.39008304,0.39619362,0.4086342,0.43048236,0.45777854,0.48081148,0.48608628,0.47058937,0.44221202,0.41705456,0.40425467,0.4034319,0.4071337,0.40969673,0.410002,0.41038826,0.41475448,0.42746845,0.45090112,0.48061213,0.5052898,0.5140084,0.50684136,0.4932576,0.48326692,0.4775324,0.4721373,0.46444595,0.45659706,0.44995597,0.44394127,0.43761718,0.43304577,0.4321941,0.4339737,0.4335465,0.4280878,0.4191774,0.4119104,0.40925062,0.4103243,0.41178226,0.41105425,0.40707085,0.39886722,0.38596416,0.37050012,0.3582113,0.35324097,0.35458705,0.3578484,0.36507693,0.382602,0.41322598,0.44481134,0.46114442,0.45487404,0.43606058,0.41961798,0.41450384,0.41976774,0.43174955,0.44600305,0.45929313,0.46745217,0.47131565,0.4726846,0.4736819,0.46978268,0.4572437,0.4365214,0.416265,0.4047769,0.4054862,0.41446474,0.426661,0.43743667,0.44395432,0.44343588,0.43685165,0.43140307,0.43673623,0.45540997,0.4765923,0.4842522,0.4716684,0.4471611,0.42573476,0.41483507,0.41201195,0.40979528,0.40450776,0.39680097,0.39029136,0.38732243,0.38806525,0.39021555,0.3919855,0.3938149,0.39860705,0.40909824,0.42422774,0.4393359,0.4477686,0.4469739,0.43884122,0.4289112,0.42128226,0.4175454,0.41776243,0.42170534,0.43005005,0.4435204,0.46314064,0.4882665,0.51388913,0.5302059,0.5262889,0.49958923,0.45936906,0.42239895,0.40016547,0.39300418,0.3938168,0.39712957,0.4027855,0.41229722,0.42633656,0.44406685,0.46616554,0.48920456,0.5059207,0.50509685,0.48589697,0.45723748,0.43485105,0.4255111,0.4271876,0.43273246,0.43822396,0.44331253,0.4479935,0.45137373,0.45132992,0.44736072,0.44007197,0.4312681,0.42223346,0.4137541,0.4069079,0.40311965,0.40411475,0.40961802,0.41814926,0.42689255,0.43430796,0.43986282,0.4453821,0.45366278,0.46506646,0.47506905,0.47572365,0.46503738,0.44919828,0.4389355,0.43849698,0.4438369,0.44718444,0.44361266,0.43398693,0.4223764,0.4140474,0.4109161,0.41224444,0.41519332,0.4193181,0.42552492,0.43511954,0.44581577,0.45323375,0.45275238,0.4442536,0.4317293,0.42103162,0.41510865,0.41336992,0.41361943,0.41481552,0.41736695,0.42124227,0.42612085,0.43200207,0.4414793,0.4549254,0.4689372,0.47440425,0.46650591,0.44732544,0.42662838,0.411934,0.40557778,0.40483412,0.40629137,0.40759265,0.4077109,0.40843204,0.41473153,0.43216053,0.45959702,0.48703244,0.5004911,0.49443293,0.47434863,0.45285377,0.4380822,0.43255806,0.433751,0.43915406,0.4451883,0.44905424,0.44880483,0.44586518,0.4413009,0.43538713,0.42512357,0.410229,0.3923155,0.37677988,0.36698663,0.36462745,0.36790475,0.37403783,0.38007975,0.3852477,0.39204454,0.40534225,0.4286615,0.4584954,0.4849857,0.4969338,0.49245605,0.47810635,0.46496877,0.4591193,0.46317875,0.47744355,0.50007397,0.522932,0.5323098,0.51865685,0.48482552,0.44513595,0.41391918,0.39763272,0.39519814,0.40366474,0.41908252,0.43637392,0.4488871,0.45361397,0.45153597,0.44672891,0.44145557,0.4362416,0.43105993,0.42750022,0.42730483,0.43026534,0.4326241,0.42980948,0.41952887,0.40432397,0.39034685,0.38490954,0.39417875,0.41814423,0.44961646,0.47386694,0.48074082,0.46967348,0.45308697,0.44331634,0.44747993,0.46363604,0.4885398,0.51624674,0.53887105,0.5440367,0.52537686,0.48656237,0.4426099,0.40739417,0.38880765,0.38700792,0.40026045,0.42291835,0.4460763,0.45825562,0.45553043,0.4427924,0.43097863,0.4266996,0.43053553,0.44005457,0.45392767,0.4718473,0.49189624,0.5117733,0.531202,0.5508816,0.5672626,0.57045954,0.55211353,0.5159481,0.47651008,0.44865194,0.43515983,0.43087396,0.42881778,0.42708766,0.4254359,0.42579696,0.43215203,0.45067775,0.48044243,0.51087767,0.5241546,0.5137244,0.48668376,0.460397,0.4439882,0.43688336,0.4324114,0.42700806,0.42078844,0.41602376,0.41606745,0.42565727,0.44653377,0.47352543,0.49345443,0.4959614,0.4815527,0.46125337,0.4447141,0.4322871,0.41944098,0.4038855,0.38899717,0.37763712,0.37162474,0.37242317,0.384896,0.41121078,0.44726047,0.4811964,0.503925,0.5145137,0.52009344,0.5260919,0.5319536,0.53406125,0.53173923,0.52840537,0.5271644,0.5284005,0.53086376,0.53409,0.5366026,0.5355365,0.52762705,0.51516616,0.50218076,0.4913306,0.47844902,0.46113503,0.4425029,0.43180147,0.4343491,0.4476814,0.4631529,0.47390422,0.47647402,0.47217122,0.46310046,0.45520374,0.4534247,0.46090472,0.47385433,0.48610595,0.49217454,0.48985276,0.47821173,0.45823136,0.43320164,0.4102676,0.39431003,0.38686398,0.3832054,0.37942767,0.37377918,0.36850026,0.36471233,0.3602351,0.35201368,0.34006748,0.32951713,0.324164,0.3232133,0.3200759,0.3095684,0.29084146,0.26941118,0.25284424,0.24779637,0.25572965,0.27233195,0.28950152,0.3005946,0.30426785,0.30385068,0.3025299,0.30035362,0.2947269,0.28510904,0.27337146,0.263622,0.25840625,0.25947034,0.26596788,0.27578238,0.284318,0.28832948,0.28614262,0.28005013,0.27267072,0.267501,0.26621023,0.26927102,0.27350196,0.2741177,0.26754037,0.25534937,0.24218927,0.23222601,0.22510587,0.21791397,0.20755298,0.19432163,0.18144584,0.17353773,0.17298926,0.17854758,0.1854278,0.18819426,0.18303014,0.16992378,0.15226482,0.1355425,0.12489944,0.12309267,0.12976484,0.14128353,0.1528396,0.1599399,0.16037081,0.15377975,0.14166397,0.12702076,0.114028044,0.106190376,0.104079805,0.105035,0.10563842,0.10432005,0.10184484,0.09924694,0.09673476,0.09406727,0.09182414,0.09107808,0.092128865,0.09395337,0.09532108,0.095941305,0.096505105,0.097270064,0.0976274,0.096358635,0.09278288,0.086986385,0.07969242,0.07196375,0.065068685,0.06015356,0.05771194,0.057468016,0.059458714,0.06492288,0.0758265,0.09253561,0.11243504,0.13089322,0.14401561,0.15021296,0.14986676,0.14408277,0.13459875,0.124492556,0.1177789,0.117608346,0.12373897,0.13320227,0.14220792,0.1489423,0.15297215,0.15437128,0.15281485,0.148611,0.14363302,0.14109193,0.14462744,0.15557213,0.17199343,0.18832429,0.20009089,0.20696859,0.21417505,0.22729309,0.24767266,0.27074453,0.28972098,0.30031756,0.30295262,0.30124423,0.29883802,0.29662427,0.29342842,0.2876393,0.2801486,0.2731816,0.26925406,0.26879027,0.27061746,0.2747577,0.2847395,0.3104087,0.35655984,0.4171387,0.46779016,0.4878323,0.47107407,0.43527913,0.4018086,0.3851622,0.38577595,0.397943,0.41403392,0.42929873,0.44258967,0.45777264,0.4767839,0.49589857,0.50339967,0.49123988,0.4618964,0.42745867,0.3977238,0.37237397,0.34641454,0.31716827,0.2890379,0.26621047,0.252481,0.2504342,0.2676489,0.30548874,0.35642353,0.39845672,0.41745508,0.4108102,0.39209077,0.37092876,0.35234308,0.33526206,0.32049656,0.30855027,0.29872358,0.2892537,0.27980924,0.2722937,0.2688628,0.27132073,0.28227195,0.30724218,0.34919307,0.40086606,0.44250238,0.4552172,0.43767408,0.40832505,0.39010358,0.3920323,0.4072735,0.4227312,0.42876306,0.42097986,0.3985959,0.36591431,0.3313363,0.30393293,0.28647092,0.27521744,0.2650038,0.255601,0.25143966,0.25589275,0.26671058,0.27754167,0.28299084,0.28157988,0.2755983,0.27120888,0.27880728,0.30778244,0.35581946,0.40421292,0.42890802,0.42068923,0.39158556,0.36337075,0.34860945,0.3467761,0.3512062,0.35778224,0.36474434,0.37154543,0.37916616,0.39319623,0.41679168,0.4459108,0.46532384,0.46413115,0.44218087,0.4116111,0.38159192,0.35370293,0.32527265,0.29649445,0.27152762,0.25446254,0.24990042,0.26378387,0.3004246,0.35322997,0.40275392,0.42696467,0.42024544,0.3958954,0.37566516,0.36969757,0.3746108,0.37895903,0.37403354,0.35615587,0.3269224,0.29281005,0.262235,0.24233608,0.23470324,0.23990293,0.2601366,0.30269873,0.36608455,0.4368764,0.48775712,0.50331706,0.4856774,0.4556493,0.4293207,0.413218,0.4057685,0.4054937,0.41111934,0.4177339,0.41991818,0.41571143,0.40928197,0.40551326,0.4044253,0.40161192,0.39272043,0.37957513,0.367874,0.36361054,0.36699513,0.37436852,0.37990347,0.37970588,0.37334323,0.36544493,0.36564353,0.37822136,0.39756426,0.4050908,0.39039588,0.3574098,0.32763913,0.3176304,0.33185863,0.3594201,0.3861245,0.40107873,0.40258634,0.3975445,0.39790258,0.4111279,0.43430683,0.45439586,0.4595743,0.4471929,0.42364934,0.39527592,0.36378226,0.32946327,0.295765,0.26806277,0.24835205,0.23575056,0.23174924,0.24517883,0.28299007,0.3407975,0.39696494,0.43010715,0.43121886,0.41083983,0.3836544,0.36047268,0.3435421,0.3326147,0.32516682,0.31755194,0.3054112,0.28833732,0.26974055,0.25461727,0.24575818,0.24649094,0.2634832,0.30400065,0.3650278,0.4287584,0.47127447,0.48078224,0.4629812,0.4340236,0.40772793,0.39267278,0.39323935,0.40616345,0.4204503,0.41971907,0.3977857,0.3599855,0.3215556,0.29318786,0.27965602,0.27880308,0.28671142,0.2981087,0.3090556,0.31796753,0.32487693,0.32793996,0.321211,0.3001968,0.2705328,0.2531534,0.27143922,0.33027098,0.4055253,0.45977354,0.47212175,0.45016965,0.41893232,0.3970516,0.38806757,0.38483074,0.37963653,0.36957482,0.3579104,0.35304072,0.3662275,0.40042415,0.44527063,0.47650728,0.47801766,0.4517331,0.4159037,0.38372397,0.35493824,0.3248835,0.29405507,0.26935533,0.2526839,0.24397458,0.24632768,0.27156207,0.32384446,0.39097777,0.44336686,0.4617341,0.4460033,0.4178011,0.39499143,0.38582954,0.38433257,0.38238475,0.37316236,0.35708857,0.34056076,0.33338797,0.33890072,0.35140446,0.3600056,0.36374125,0.37472793,0.4053975,0.45154127,0.48844656,0.49555588,0.47055757,0.43367064,0.40393507,0.3909172,0.391583,0.3999816,0.40883386,0.41146123,0.4041433,0.38952914,0.37480485,0.36597887,0.36427915,0.3680615,0.37716928,0.39101124,0.4063616,0.41570917,0.4158329,0.41083595,0.40866545,0.41127184,0.41320023,0.4118429,0.4133773,0.4257637,0.4453733,0.45519271,0.4427428,0.4115671,0.38052967,0.3638382,0.36326823,0.37000784,0.37711748,0.38273478,0.38896286,0.39783192,0.41214958,0.4331725,0.45695233,0.4734904,0.4735143,0.4588394,0.43859255,0.42110506,0.4037541,0.38187397,0.35449484,0.32821402,0.30739832,0.293785,0.2885774,0.30025092,0.3346069,0.3875893,0.4372907,0.4635879,0.45868453,0.4356868,0.4107876,0.39429665,0.38495025,0.37774348,0.36830547,0.35553837,0.34052756,0.32634678,0.31533062,0.30844316,0.30428925,0.30483282,0.31683886,0.3487035,0.3978376,0.44732478,0.47460774,0.471349,0.447793,0.4237386,0.4102807,0.4079264,0.41153562,0.41701448,0.41951308,0.4127306,0.39405403,0.3675333,0.34179172,0.32101026,0.30389428,0.2873207,0.27284375,0.26447916,0.26440382,0.26901746,0.27273706,0.2719287,0.26811358,0.26657087,0.27513948,0.30191967,0.3506762,0.41402838,0.4729941,0.5055625,0.5030714,0.4740441,0.43887326,0.4128101,0.40163097,0.40066564,0.4035487,0.4041083,0.40180817,0.40128028,0.41237262,0.43855754,0.47106406,0.489923,0.4828029,0.45539546,0.42507157,0.40226802,0.3809863,0.35193944,0.31419244,0.27982968,0.2600142,0.26093575,0.28312212,0.32869375,0.39281774,0.46075654,0.5059471,0.5137598,0.48734686,0.4496148,0.4170214,0.39521912,0.37725684,0.3593744,0.34141302,0.3262318,0.31356007,0.3017209,0.28946224,0.27759168,0.2691839,0.2701408,0.2906252,0.33604217,0.3990476,0.45435002,0.47776997,0.4618133,0.4227773,0.38337818,0.3592104,0.3540069,0.36511672,0.38533342,0.40405226,0.4103738,0.40178847,0.3843843,0.36846554,0.35832486,0.35279575,0.34862685,0.34581783,0.34562302,0.34783232,0.35006213,0.35061297,0.35027957,0.35184178,0.35907903,0.37671852,0.4097775,0.4563382,0.50384235,0.5301502,0.52160186,0.48164105,0.43156645,0.39101866,0.36881343,0.3608838,0.36090162,0.36438322,0.3699032,0.37822714,0.39288795,0.4194428,0.45582065,0.4902146,0.5034113,0.48967806,0.45773935,0.42570063,0.39898,0.3733975,0.3425603,0.31033084,0.28464738,0.27346146,0.28112414,0.31331563,0.3679367,0.4334171,0.48515782,0.50760746,0.4996927,0.47831127,0.45758948,0.44299212,0.4295431,0.4107435,0.3833098,0.34810182,0.31110612,0.27946836,0.25919297,0.2499532,0.24808495,0.25160158,0.26622275,0.3013971,0.3572394,0.41806993,0.458944,0.46759507,0.45038357,0.42584273,0.4067503,0.39775813,0.39932773,0.40883958,0.4187704,0.41542754,0.3926091,0.35546455,0.31946614,0.29411802,0.27916685,0.26709732,0.25408712,0.24188727,0.23515935,0.23564304,0.24247532,0.25333244,0.2661023,0.27845338,0.29128447,0.3109354,0.34733096,0.4003595,0.4555097,0.48741487,0.4844532,0.45350155,0.4175599,0.39160755,0.3795015,0.37495646,0.37420174,0.3758533,0.3814255,0.39262593,0.41390586,0.44469008,0.4768866,0.49289814,0.48375484,0.45532918,0.42511424,0.4028809,0.38469923,0.36304352,0.33669296,0.31113282,0.2881619,0.26877305,0.25981078,0.27832186,0.33256295,0.40968776,0.473528,0.49715027,0.47642013,0.4351859,0.39571083,0.36954367,0.35126826,0.33257675,0.30608037,0.27233538,0.23871405,0.21962227,0.2244352,0.2515178,0.28571534,0.3156567,0.3431727,0.37995505,0.4288051,0.47367284,0.4935192,0.479857,0.44530776,0.4092836,0.38560128,0.37701795,0.38069597,0.3908056,0.40079108,0.4034882,0.39684236,0.38286337,0.36677518,0.35080945,0.336748,0.32841006,0.3320996,0.350072,0.37536502,0.39616886,0.4055649,0.40557137,0.40221807,0.3970597,0.38796973,0.3725666,0.352352,0.32947817,0.30541456,0.28076044,0.25733453,0.23764543,0.22328065,0.21408759,0.2088402,0.20657735,0.20661712,0.20868103,0.21228261,0.21718466,0.22296806,0.22899143,0.23347145,0.23354225,0.22654533,0.21310054,0.19833969,0.1893179,0.18941475,0.19586255,0.20261665,0.20541954,0.2039442,0.20066391,0.19926302,0.20392364,0.21697144,0.23702407,0.2579461,0.27256522,0.27545097,0.26561433,0.24559265,0.2213101,0.19961412,0.18724786,0.18649234,0.19524,0.20617008,0.21368043,0.21536212,0.21383165,0.21093176,0.20747738,0.20378475,0.20238407,0.20525597,0.21106924,0.21507736,0.21419473,0.20841442,0.19924586,0.18611528,0.1695326,0.1544237,0.14918657,0.15852797,0.1784157,0.19919467,0.21274777,0.21705206,0.21469317,0.2087451,0.20142245,0.19444728,0.19021253,0.18980557,0.19156796,0.19095832,0.18356527,0.16757786,0.14559515,0.12391438,0.11108822,0.113793395,0.13301328,0.16268498,0.19288647,0.21572328,0.2281727,0.2319961,0.23040213,0.22648986,0.22231519,0.21907802,0.21725576,0.21664895,0.2175123,0.22043216,0.22652926,0.2348171,0.24243109,0.2448944,0.24086313,0.23164017,0.22097595,0.2102931,0.2006411,0.19216578,0.18594313,0.18121253,0.1769796,0.17364633,0.17389905,0.1799711,0.19024962,0.20044833,0.20647343,0.20758373,0.20545268,0.2025435,0.20011182,0.19826776,0.19637632,0.19452934,0.19339345,0.19393623,0.19578837,0.19782376,0.19899017,0.19954753,0.20059212,0.20284879,0.20629954,0.21266855,0.22730547,0.25982526,0.31116608,0.36837482,0.40377733,0.40291584,0.37561908,0.35181877,0.34985662,0.36460483,0.38038743,0.39207575,0.40418664,0.41582575,0.41309544,0.38922277,0.35239735,0.3224798,0.30602184,0.29791376,0.2922928,0.29350796,0.3072882,0.33034125,0.35518506,0.38240924,0.41986915,0.46899685,0.51328593,0.53127986,0.5145308,0.47564867,0.43482628,0.404873,0.38788936,0.38073397,0.380988,0.38620612,0.39345586,0.39940992,0.40247765,0.40271398,0.40138483,0.40023863,0.40202853,0.4091954,0.42142704,0.4342892,0.44189057,0.4422433,0.43841204,0.4353496,0.43422866,0.4324664,0.4270053,0.418332,0.4098526,0.406481,0.41263643,0.43187574,0.46121964,0.48945293,0.49989435,0.48468432,0.45067307,0.41392764,0.38469186,0.36225894,0.34187832,0.323108,0.3100598,0.30519387,0.30851862,0.3201109,0.34492993,0.38258818,0.42436484,0.44888404,0.44483307,0.4142793,0.3759664,0.34355935,0.32475537,0.32097185,0.33380604,0.3599019,0.3883722,0.40635744,0.408427,0.3995663,0.38899246,0.38227844,0.3800825,0.3803866,0.38162494,0.3822696,0.38122228,0.3782504,0.37467524,0.3721564,0.37157091,0.37469205,0.3849275,0.40713516,0.43859807,0.46917784,0.48255944,0.4737719,0.44880733,0.4232264,0.40485653,0.39425746,0.3866929,0.38085198,0.37819067,0.38033056,0.3869646,0.39576814,0.40391454,0.40861633,0.4088653,0.40622988,0.40510976,0.40851757,0.41580698,0.42093793,0.41950858,0.4106599,0.3991702,0.38854048,0.38089904,0.3760947,0.37490666,0.3771415,0.38119617,0.3855317,0.39199743,0.4068651,0.432461,0.4626346,0.48172984,0.48014176,0.45915875,0.43177032,0.40825692,0.3933146,0.38537836,0.38285625,0.38388488,0.38778463,0.3946379,0.4080795,0.4307525,0.460914,0.48759317,0.49865258,0.48856273,0.46398425,0.43625,0.41443524,0.4013715,0.39800766,0.4021372,0.4100915,0.4137379,0.4098725,0.39974943,0.39127934,0.38787302,0.38859722,0.38795742,0.38409832,0.37865165,0.37579107,0.377378,0.38290167,0.38958326,0.3942505,0.39496985,0.39381233,0.398033,0.4142678,0.44053733,0.46342012,0.46787155,0.4493896,0.41629472,0.3818133,0.35478106,0.3394231,0.33695868,0.3465836,0.36296585,0.37789044,0.38494143,0.38341972,0.37750676,0.37156057,0.3682215,0.36874077,0.37560165,0.3894045,0.40745303,0.42192304,0.4274677,0.4236392,0.41666448,0.41156176,0.40988496,0.40935394,0.4088485,0.40958974,0.41459748,0.4261444,0.44490054,0.46681392,0.48257688,0.48075953,0.4570363,0.41989526,0.38435772,0.3617079,0.3517019,0.348868,0.34759554,0.34601167,0.34295952,0.3402989,0.34365353,0.36240807,0.39757285,0.43897143,0.46571496,0.46698546,0.44563746,0.41859862,0.39828002,0.3899977,0.39144456,0.3998046,0.41085684,0.4191034,0.41989732,0.4137369,0.40606907,0.40280643,0.4051809,0.40970647,0.4110678,0.4059646,0.39451063,0.37986723,0.36666787,0.3588535,0.35849145,0.36496308,0.37703994,0.39394143,0.41696247,0.4435968,0.4663717,0.47272968,0.4581991,0.42922843,0.4013395,0.38428053,0.3783337,0.37692082,0.3758218,0.37519243,0.37772027,0.3862084,0.4036921,0.43203232,0.4660832,0.49371767,0.5015606,0.48917106,0.46611977,0.4452127,0.42867598,0.4139813,0.39854217,0.3855536,0.37848774,0.37865528,0.38427457,0.39357463,0.40413418,0.41395405,0.41984114,0.42122516,0.41849938,0.41381815,0.40753904,0.39994344,0.39163223,0.38431188,0.3785881,0.37310073,0.3662237,0.35910848,0.35456884,0.35286295,0.3497511,0.3430622,0.3399086,0.3530663,0.38671413,0.4272182,0.45243,0.45044208,0.42781103,0.40105972,0.38222685,0.37476608,0.37769386,0.38902578,0.40530896,0.4192866,0.42552397,0.42331424,0.41774678,0.4122927,0.40707624,0.4018035,0.4008845,0.4094869,0.42770195,0.44700262,0.46031597,0.46548894,0.46606222,0.46214965,0.45340034,0.44464496,0.4468849,0.46582094,0.491412,0.50388956,0.49210736,0.46234116,0.43181407,0.41165867,0.40280366,0.3994701,0.39815292,0.3984388,0.40095508,0.40429702,0.4057674,0.4035443,0.39842615,0.39379147,0.39374638,0.40201733,0.41754505,0.43515405,0.44563794,0.44506696,0.43586954,0.4262928,0.42146775,0.42053255,0.4185817,0.41145468,0.39999142,0.38885143,0.38537923,0.3947309,0.41684818,0.442472,0.4580586,0.45328668,0.43164933,0.40567872,0.38911211,0.38491127,0.38883305,0.39367762,0.39615297,0.39543256,0.39402732,0.3958412,0.4071437,0.42777786,0.4516292,0.4640158,0.45872876,0.43776417,0.4146508,0.3970585,0.38791844,0.3841363,0.38703433,0.3973516,0.41311225,0.42468774,0.4237974,0.4081284,0.38498375,0.36408153,0.35277316,0.3525522,0.36102292,0.37467,0.39084828,0.4067862,0.41917887,0.4247822,0.42436376,0.42331144,0.42969128,0.4489379,0.47717166,0.50209504,0.50723845,0.48828492,0.4543241,0.42576826,0.41527402,0.42485023,0.44401038,0.46056804,0.46435693,0.45360088,0.43417084,0.4159082,0.40496305,0.40114883,0.40113834,0.40362188,0.41041946,0.4219941,0.43487844,0.44164738,0.43787646,0.4238485,0.4051182,0.3866613,0.37261304,0.3653991,0.36703002,0.37637505,0.3894669,0.4016771,0.41264346,0.42672828,0.44699463,0.469375,0.4815394,0.4744282,0.4487209,0.4168022,0.39072075,0.37710115,0.37459326,0.37975228,0.38781133,0.39524594,0.4003303,0.40659437,0.41936636,0.43956423,0.45912316,0.46645388,0.45820796,0.44135633,0.42744818,0.42118573,0.4217397,0.4263939,0.433647,0.44100186,0.44257072,0.4346753,0.41702855,0.3961483,0.37731776,0.36465487,0.35722885,0.35515973,0.35782495,0.36566648,0.3761344,0.3862829,0.39312434,0.39591393,0.39569417,0.39633617,0.40365276,0.4224459,0.44952998,0.4744856,0.48424116,0.47636414,0.45853308,0.44423416,0.44028708,0.44690618,0.46127412,0.4806284,0.5002568,0.5106823,0.50403565,0.47959733,0.44652,0.41607714,0.3966401,0.3899672,0.3951551,0.40723738,0.42122117,0.4296569,0.43030867,0.4233091,0.41415384,0.40558454,0.39977694,0.39640212,0.39729044,0.40315259,0.41347656,0.4239882,0.43010947,0.4279908,0.41746104,0.4026896,0.39268556,0.39815953,0.4235052,0.46116447,0.49313036,0.503972,0.49174055,0.46844348,0.44864714,0.4410075,0.44708073,0.46668115,0.49386552,0.5170448,0.5186752,0.49280247,0.44744918,0.40285563,0.37187752,0.35748187,0.35557333,0.36565974,0.38788214,0.4182059,0.44546938,0.4601824,0.46045312,0.45301545,0.44581473,0.44545457,0.45602456,0.47840607,0.50436836,0.519924,0.514663,0.4952006,0.47622088,0.46672198,0.4593813,0.44449043,0.42366627,0.4082234,0.4066461,0.41347316,0.41955757,0.41798863,0.41111848,0.40231797,0.3971142,0.4004281,0.41842997,0.44900164,0.48164716,0.4994141,0.49687436,0.48091152,0.46681547,0.4603217,0.45793518,0.45255974,0.44292066,0.43204916,0.42330813,0.41951632,0.4244907,0.4411535,0.46518314,0.485121,0.4893786,0.47877812,0.46229985,0.44966054,0.4391316,0.42571303,0.4060553,0.38419756,0.3649733,0.35291514,0.3521928,0.36840275,0.40291217,0.44961405,0.49408197,0.524409,0.5356222,0.53147984,0.5171529,0.4971473,0.47591877,0.45771334,0.44565007,0.43936655,0.439025,0.44630647,0.46315074,0.4842938,0.4990565,0.49775645,0.48418283,0.46938848,0.46448696,0.4684727,0.4772352,0.48648834,0.49696276,0.5066342,0.512338,0.5104966,0.5019712,0.4889965,0.47430673,0.4594758,0.4486723,0.44595483,0.45318446,0.46534458,0.4773213,0.48710346,0.49900523,0.51344824,0.5266258,0.5303738,0.5235786,0.5098646,0.49528936,0.48045504,0.46335283,0.44451013,0.42939472,0.42416394,0.42872068,0.43749785,0.4472418,0.45917654,0.47532663,0.4887061,0.49054024,0.47699273,0.45622596,0.43753836,0.42645726,0.42200097,0.4223634,0.42367125,0.421604,0.4136046,0.4047936,0.40636894,0.42575574,0.45833525,0.4859505,0.4923859,0.47291532,0.44044474,0.41168818,0.39871907,0.40001336,0.40567157,0.40297925,0.38596034,0.35862032,0.33196476,0.31600583,0.31331304,0.32049432,0.33254054,0.34651718,0.36056343,0.3726867,0.38153374,0.3867106,0.3888472,0.38805678,0.3845432,0.37957147,0.37434587,0.37012887,0.36571607,0.36093834,0.35451344,0.34675452,0.33628854,0.32346252,0.3101199,0.30028588,0.29719296,0.2997173,0.30403635,0.3046548,0.30000368,0.2908113,0.2811828,0.27413496,0.27300516,0.28043556,0.30136287,0.33754313,0.3848035,0.42785743,0.45182857,0.44923338,0.42847887,0.40232703,0.38190386,0.36946192,0.3641859,0.36351717,0.36588416,0.37061653,0.3789687,0.39420494,0.41472447,0.4333383,0.43686262,0.42102253,0.39106718,0.36246872,0.3447384,0.34071288,0.34433952,0.35028806,0.35376802,0.35538116,0.35839173,0.37028912,0.39264333,0.4189891,0.4325463,0.4223615,0.3901129,0.35234448,0.3252283,0.3153458,0.3172771,0.32039937,0.3156158,0.29878226,0.2714029,0.23918746,0.20864265,0.18495433,0.17001672,0.16372307,0.16390117,0.1682569,0.17451215,0.18130939,0.18716852,0.19062506,0.1904218,0.18615504,0.17833418,0.16845405,0.15944631,0.15497865,0.15734197,0.16507,0.17311366,0.17607377,0.17156959,0.1613115,0.14923508,0.13965414,0.13596123,0.139835,0.14986868,0.16155656,0.16934906,0.17015664,0.16483611,0.15703976,0.1505453,0.1479544,0.15107082,0.1604377,0.17461897,0.18880785,0.19786884,0.1988498,0.19352198,0.1856277,0.17883317,0.17493993,0.17469287,0.17764194,0.1822472,0.1862588,0.18869461,0.1901434,0.19204725,0.19419312,0.19511677,0.1929845,0.18789846,0.18123019,0.1747997,0.16894133,0.16311018,0.15658845,0.14989819,0.14438218,0.14185315,0.14390141,0.15085483,0.1609999,0.17012303,0.17429025,0.17131233,0.16212027,0.14821075,0.13166535,0.1147357,0.10137197,0.094639145,0.094878785,0.09832427,0.100820474,0.100563854,0.098626085,0.09636135,0.09431789,0.09438153,0.10002609,0.11408631,0.13388948,0.15212333,0.16107057,0.15783447,0.1444993,0.12602256,0.10818479,0.09749326,0.09920287,0.114634596,0.13825403,0.16076992,0.17379014,0.17465706,0.16554083,0.15129101,0.13727935,0.129192,0.13133939,0.14423595,0.16278519,0.17901212,0.18606491,0.1817271,0.16760033,0.1477168,0.12715882,0.111589976,0.10515675,0.107992895,0.11556964,0.12171773,0.12225741,0.1168153,0.107473016,0.097415216,0.09014935,0.08867278,0.09371996,0.10249028,0.11062483,0.115927994,0.11975748,0.124598406,0.1298966,0.13246967,0.12950148,0.12182457,0.11267983,0.1048702,0.09931592,0.09583363,0.09427757,0.09427168,0.095113106,0.09716562,0.10304942,0.11598748,0.13606726,0.15793906,0.17398643,0.17867725,0.1718912,0.15716778,0.13968943,0.124213465,0.11442456,0.111696385,0.114545494,0.1197587,0.12512149,0.13048959,0.13677478,0.14334553,0.14837508,0.15055306,0.15060385,0.15031795,0.15058392,0.1515733,0.15291485,0.15454537,0.15554178,0.15531118,0.15500747,0.1588906,0.17189215,0.19567744,0.22651684,0.257982,0.2853808,0.30829194,0.32788607,0.3438755,0.35276425,0.35146737,0.3401716,0.32392782,0.30838308,0.29659894,0.2870507,0.27679074,0.2658945,0.259966,0.2706686,0.30325377,0.35213628,0.39541486,0.41803083,0.41740882,0.40928438,0.40467122,0.40623236,0.40762338,0.40616226,0.40394166,0.40566918,0.41544363,0.4359531,0.46644926,0.49841872,0.5179432,0.5148938,0.49494645,0.4741887,0.46586308,0.46632004,0.46305802,0.44715106,0.42193756,0.39601004,0.37716725,0.37071252,0.38329372,0.41542342,0.45816097,0.49033856,0.49887845,0.48317313,0.4577175,0.4323885,0.41176426,0.39443612,0.3823115,0.37674868,0.3773493,0.37937596,0.3789095,0.37371182,0.36490032,0.3538622,0.3426632,0.33195364,0.32090712,0.30650556,0.28683963,0.26405826,0.2455316,0.23919861,0.24762595,0.2650062,0.28144214,0.2907321,0.29392704,0.29611316,0.29959252,0.30259296,0.30207178,0.2975254,0.28980944,0.2790189,0.2649899,0.25039753,0.24176423,0.24423774,0.25643408,0.27013215,0.27747384,0.2761116,0.27006644,0.2668004,0.27544168,0.3033618,0.34822693,0.39612868,0.42740676,0.43464586,0.42465413,0.4128561,0.4060197,0.40347585,0.4019405,0.40340677,0.4105698,0.4233544,0.43872666,0.45706216,0.47849023,0.5005179,0.5127324,0.51093644,0.4999114,0.49250785,0.49306306,0.49449742,0.487797,0.471518,0.45400286,0.44167933,0.4378629,0.44251707,0.45741057,0.4791999,0.49787545,0.49836907,0.47546437,0.43617144,0.39760447,0.37142718,0.3604816,0.35819745,0.3556727,0.3458846,0.32600617,0.29932955,0.2722288,0.25202826,0.24176924,0.24055336,0.24356574,0.24659252,0.24770701,0.24892803,0.253092,0.26171854,0.27429357,0.28891876,0.30320445,0.313386,0.31732044,0.3154272,0.31173733,0.30950332,0.30967703,0.3100765,0.3076004,0.2988001,0.28125748,0.25524065,0.22551262,0.2006955,0.18858457,0.1919101,0.20573594,0.2216221,0.23101126,0.22975461,0.21749204,0.19784398,0.17580427,0.15625882,0.14232059,0.13542011,0.13546264,0.14031236,0.1456099,0.14765324,0.14741777,0.15327598,0.1734225,0.20867312,0.2465503,0.27338955,0.28216696,0.27920663,0.27329123,0.2710201,0.2725428,0.27592835,0.27837774,0.2780491,0.27483574,0.27007246,0.26523244,0.25954023,0.24980383,0.23222345,0.20642245,0.17772658,0.15559511,0.14749932,0.15448105,0.17103958,0.19010545,0.20662653,0.2180481,0.22217406,0.21731059,0.20464426,0.19106859,0.18540521,0.19293936,0.20945972,0.22614409,0.23470195,0.23382498,0.2262503,0.21737914,0.2118259,0.2133783,0.22227018,0.23506115,0.2455045,0.24785273,0.23895979,0.21998794,0.1975748,0.18203752,0.1820944,0.19792177,0.22103743,0.24018513,0.2496384,0.25113678,0.251071,0.25555024,0.26716825,0.28386885,0.30001572,0.3105129,0.31379214,0.3118898,0.30604893,0.2942629,0.27257845,0.24030769,0.20330733,0.17276752,0.15945305,0.16689004,0.18905427,0.21362834,0.22997774,0.23399168,0.22815253,0.21680813,0.20262235,0.1860088,0.16659702,0.14463313,0.12096243,0.09687657,0.07389196,0.05373176,0.037980214,0.02763491,0.022995926,0.023921521,0.030077033,0.040774107,0.054540258,0.06900173,0.08112455,0.08826914,0.08968398,0.088540494,0.09138909,0.10536138,0.13316256,0.17221047,0.2156627,0.2566705,0.2891401,0.31015524,0.31909317,0.3181106,0.30908468,0.29383752,0.2742972,0.25419405,0.23750097,0.22658126,0.22075212,0.217593,0.21489857,0.21219139,0.21036394,0.2105233,0.2132696,0.21906269,0.228738,0.24299145,0.2612262,0.28108373,0.29925776,0.31300914,0.32144418,0.3258214,0.3288537,0.3328149,0.3382677,0.343339,0.34463754,0.33870277,0.32503924,0.3084699,0.2975618,0.29881772,0.31073496,0.32530224,0.3342049,0.33431232,0.3292859,0.32706714,0.33961067,0.37161735,0.41651893,0.45236555,0.46375486,0.45040894,0.4296337,0.4144385,0.4069434,0.40109423,0.39511743,0.39285254,0.3984643,0.4123915,0.43204752,0.45528904,0.47737694,0.49168146,0.49039075,0.47512934,0.45437157,0.4385755,0.4283559,0.41832995,0.40411976,0.38748458,0.37202242,0.35828105,0.3469397,0.34460342,0.36207294,0.40311202,0.45484892,0.49461675,0.5062378,0.49089038,0.46269882,0.43569174,0.4172025,0.40597153,0.3974065,0.3858775,0.3704205,0.35465285,0.34503773,0.34424424,0.34912118,0.3547933,0.36078775,0.3733947,0.39554107,0.42277324,0.44234905,0.44945076,0.44754195,0.44679892,0.4501265,0.45571432,0.45981884,0.46031594,0.45404884,0.43615326,0.40639016,0.37094617,0.3401592,0.3194259,0.30825582,0.30272993,0.30128208,0.3035864,0.3092861,0.3156537,0.31990948,0.3203124,0.31784832,0.31533828,0.3177533,0.33053935,0.35896125,0.40108728,0.44736072,0.480785,0.49170855,0.48122334,0.46204165,0.4449325,0.4347771,0.42935762,0.42406747,0.4146302,0.4002978,0.386937,0.3850852,0.40128696,0.42902884,0.4514961,0.45485088,0.4416579,0.4242312,0.41260314,0.40237868,0.3855606,0.3583534,0.32795542,0.30286774,0.2904501,0.29516235,0.32397708,0.37627006,0.44035807,0.4896218,0.50688666,0.491619,0.46324268,0.4371048,0.41892,0.40431702,0.39076293,0.37898502,0.37133977,0.36803222,0.3676647,0.36799392,0.36726347,0.364966,0.36369547,0.37094545,0.39296374,0.4279633,0.4604793,0.47327295,0.45926654,0.42781302,0.3939033,0.36860833,0.3564696,0.36059394,0.38043883,0.40958723,0.4329346,0.4399115,0.4287473,0.41022953,0.39370108,0.3848522,0.38177395,0.3829734,0.38603434,0.39059666,0.3946085,0.39739403,0.39765993,0.39658776,0.3958057,0.40020838,0.41375527,0.43704656,0.4608512,0.4718466,0.46118784,0.43435085,0.4052142,0.38616994,0.37949207,0.381403,0.38699546,0.3936553,0.3991431,0.40272653,0.40662584,0.41671756,0.43430808,0.45292833,0.459151,0.44839737,0.42639324,0.40528274,0.38785085,0.36986938,0.34695196,0.32268795,0.3042346,0.29738438,0.3054081,0.33213785,0.3773309,0.43148446,0.47442755,0.4901211,0.47829744,0.45508623,0.43741688,0.43060374,0.4283823,0.42136905,0.40477037,0.37892392,0.3478179,0.31624457,0.28873706,0.26753554,0.2520555,0.24147683,0.23906374,0.25536606,0.2963835,0.3560418,0.410575,0.44162273,0.44420812,0.43224,0.41780868,0.40831318,0.40449223,0.40609157,0.4089445,0.404451,0.38655984,0.35681045,0.3245828,0.29748178,0.27737525,0.26123488,0.24757104,0.23818056,0.23570584,0.2401704,0.24890749,0.25922906,0.26952735,0.27824673,0.28633592,0.29888836,0.3270565,0.3738416,0.42968926,0.46978477,0.4789839,0.45843586,0.42823663,0.40455902,0.39340055,0.38996848,0.38994074,0.39235106,0.39878416,0.41103205,0.43163273,0.46100554,0.49315047,0.51453966,0.51331216,0.49058178,0.45812306,0.42809144,0.40152454,0.37549397,0.34844863,0.32413682,0.3032823,0.28620502,0.27668017,0.2885611,0.3296907,0.39306387,0.44986665,0.47809684,0.47196078,0.44874334,0.42269257,0.39997318,0.37566277,0.34603187,0.3097252,0.2685825,0.22734684,0.19472538,0.18089859,0.19035934,0.21862654,0.25631943,0.29992047,0.3509798,0.40821144,0.45702037,0.48025826,0.4720229,0.44561687,0.4193062,0.40471962,0.40222326,0.40990505,0.4230431,0.43618622,0.43982837,0.43134525,0.4140642,0.3973436,0.38523766,0.37770864,0.3731481,0.37377763,0.38136992,0.39338872,0.40296343,0.4070847,0.4086521,0.41252616,0.41734895,0.41651198,0.40448907,0.3815696,0.35265288,0.32290065,0.29583827,0.27314338,0.255195,0.24201095,0.23357575,0.23032756,0.2320357,0.23773551,0.24534166,0.25266305,0.25736287,0.25801596,0.2537638,0.24455702,0.23012815,0.21142454,0.19218649,0.17954852,0.17956866,0.19247335,0.21145612,0.22820485,0.23749886,0.2391557,0.23540159,0.23030113,0.22849803,0.2337902,0.24597163,0.25991353,0.26826397,0.26508546,0.24884365,0.22230184,0.19256866,0.16850494,0.15856035,0.16525234,0.18477017,0.20723338,0.22426035,0.2317674,0.23195946,0.22839409,0.22363144,0.21919028,0.21595763,0.21387245,0.20922863,0.19935776,0.18623348,0.17729978,0.17649804,0.1793599,0.1776733,0.16974711,0.16328044,0.16688347,0.18142712,0.19983296,0.2148589,0.22442766,0.23040004,0.23405504,0.23440056,0.23112541,0.2264269,0.22427726,0.22527762,0.22561245,0.21852283,0.20003916,0.1715147,0.14039253,0.11748088,0.112979025,0.13095023,0.16642195,0.206878,0.23969851,0.2582591,0.26431727,0.26316392,0.25909826,0.25305173,0.2451272,0.23654176,0.22970308,0.22617674,0.22568174,0.22683881,0.2280127,0.22754866,0.22333334,0.21392196,0.20011823,0.18547915,0.17431003,0.16878009,0.16837388,0.17131995,0.17651153,0.1828223,0.18843408,0.19050913,0.18744946,0.1793495,0.16828918,0.15639754,0.14565334,0.13717313,0.13165857,0.12924796,0.12993592,0.1335829,0.13982867,0.14757423,0.1550589,0.16034107,0.1625362,0.1622803,0.16143097,0.16165651,0.16342737,0.16570969,0.16885372,0.17715758,0.20009644,0.24206002,0.29350713,0.33039433,0.33566853,0.31768608,0.30502808,0.3191327,0.35345876,0.38619336,0.4041603,0.41020525,0.40948263,0.3955183,0.36426246,0.32294562,0.29123506,0.2775022,0.27528512,0.27268907,0.2691712,0.2728345,0.28795883,0.30953643,0.33278573,0.3601292,0.3962077,0.43560576,0.46400014,0.4713737,0.4613204,0.4465973,0.43660232,0.4331586,0.4336194,0.43572974,0.4388219,0.4421537,0.44494727,0.44592795,0.44446898,0.44051418,0.4357393,0.43337741,0.43793306,0.45055184,0.4676685,0.48012772,0.482404,0.47486815,0.4653062,0.45919237,0.45749176,0.45638487,0.45342556,0.449452,0.44839573,0.45476067,0.47178674,0.4976852,0.523915,0.5368991,0.52773327,0.49926782,0.46462926,0.4366351,0.4191862,0.4093221,0.40386543,0.40417397,0.41198078,0.4266449,0.44497094,0.4674755,0.49432954,0.52215546,0.5378528,0.53235775,0.50627893,0.47336712,0.44575635,0.4297873,0.4260955,0.4338938,0.4489334,0.46204224,0.46411085,0.45404473,0.43871298,0.42741665,0.42287955,0.42332602,0.4248307,0.42754078,0.43213382,0.43890676,0.4448397,0.44798175,0.44829145,0.44803384,0.4498798,0.4565703,0.47214952,0.49527964,0.51826644,0.5259216,0.51187843,0.4814117,0.45105568,0.43160304,0.4243765,0.42287198,0.42248058,0.42289126,0.4266102,0.4345591,0.4459115,0.45807052,0.4695393,0.47913358,0.48734447,0.49471283,0.50090235,0.50298005,0.49661675,0.48066556,0.45902285,0.43847477,0.4227536,0.4116861,0.40428737,0.40202275,0.40689814,0.41762578,0.4305595,0.44310462,0.45808342,0.4761258,0.49337038,0.49788675,0.4854214,0.46057308,0.43816185,0.42685708,0.42807356,0.4363465,0.44714388,0.4570874,0.46390235,0.46722484,0.47018912,0.47732747,0.48871866,0.49823546,0.4978406,0.48639122,0.46989036,0.45685172,0.45100415,0.45129767,0.45549572,0.4608867,0.46531472,0.4645138,0.45753494,0.44556844,0.43375525,0.4243162,0.41741356,0.41026616,0.40314785,0.39838395,0.400695,0.41111565,0.4270889,0.44183704,0.4496403,0.4483826,0.44179603,0.43800697,0.44443813,0.46221402,0.4832119,0.49544227,0.49154016,0.47312245,0.4479302,0.42365578,0.40596354,0.3990368,0.40549716,0.4247625,0.45121062,0.4770302,0.49522987,0.5036784,0.50388306,0.49962112,0.49459615,0.49279344,0.4964664,0.50444335,0.51082426,0.51002604,0.5000848,0.48466668,0.46851054,0.45574653,0.44824108,0.44706586,0.4518224,0.4610771,0.4729483,0.486504,0.5009023,0.5115332,0.5101544,0.4900935,0.45640123,0.4238286,0.40740928,0.4095223,0.4222633,0.43585768,0.44715235,0.45743716,0.46886447,0.48198798,0.4979371,0.51536036,0.5297046,0.5322711,0.52018785,0.49811342,0.4764595,0.45990667,0.4475449,0.43747628,0.43356577,0.43962982,0.45388117,0.46665332,0.47157907,0.4689996,0.46632287,0.46691296,0.4697334,0.47024104,0.46761107,0.46423092,0.46426225,0.46949837,0.47899318,0.48948416,0.49763465,0.50174475,0.5031634,0.5060378,0.51205426,0.5176835,0.5132596,0.4936223,0.46227607,0.43248475,0.41548893,0.41459677,0.42358914,0.4336084,0.43929827,0.44114506,0.44466272,0.45594776,0.47862664,0.5079569,0.53361624,0.5436627,0.5371205,0.52081805,0.5049804,0.49105012,0.47699404,0.46180633,0.44997326,0.44514468,0.44638678,0.45032534,0.45612875,0.46478856,0.47486496,0.47930732,0.47301218,0.45671615,0.43930984,0.42785904,0.42491856,0.42624,0.42665622,0.42171776,0.41031408,0.39520255,0.38229072,0.3782518,0.38421854,0.39581224,0.4059569,0.41480473,0.42849445,0.45128217,0.47609755,0.48806134,0.47943318,0.45528516,0.43029603,0.41449058,0.41143513,0.41873237,0.43278447,0.44827935,0.46012548,0.46677694,0.47113132,0.4755367,0.47787634,0.4728849,0.46114954,0.45044354,0.44977856,0.45951056,0.4708583,0.47572044,0.47282,0.46671453,0.4592372,0.4491594,0.43760073,0.43145585,0.4366406,0.44991434,0.45885572,0.45506814,0.43987027,0.42436275,0.4156127,0.41510773,0.4174972,0.41945556,0.4196671,0.42004108,0.42131814,0.42254674,0.42131087,0.41682628,0.41150054,0.4105076,0.41856626,0.43567833,0.45546326,0.46792683,0.46776316,0.45753923,0.44597447,0.4389716,0.4372499,0.4376626,0.4382145,0.4388485,0.44010487,0.4433256,0.45046267,0.46412358,0.48049295,0.49076453,0.48425952,0.4632242,0.43923926,0.42745137,0.4307766,0.44384614,0.45817208,0.4706916,0.48100105,0.4898121,0.49805054,0.5092663,0.5250776,0.5412311,0.5457706,0.5305869,0.498894,0.46535113,0.4425241,0.43421236,0.43642378,0.44663087,0.46317306,0.48357013,0.49942097,0.5040336,0.49521494,0.4789095,0.46203735,0.4500122,0.44459584,0.4462929,0.45452726,0.4672869,0.48085952,0.49142233,0.49695504,0.49790642,0.49647403,0.49599633,0.5003144,0.5105159,0.5217784,0.52330714,0.50710946,0.4747192,0.43839356,0.41083813,0.39868113,0.4004439,0.41157258,0.42686245,0.44148088,0.45152605,0.45469984,0.45138738,0.44382963,0.43622622,0.4329615,0.4372034,0.44835472,0.46208766,0.47206947,0.4734552,0.46515796,0.44945005,0.4304596,0.41180232,0.3970488,0.38900173,0.39078352,0.40290615,0.42388022,0.44925508,0.47612026,0.5009365,0.519794,0.5259605,0.5167331,0.49614525,0.47404253,0.4578432,0.44848228,0.4427991,0.438303,0.43474898,0.43243828,0.43210062,0.43614307,0.4486196,0.46857277,0.48816314,0.49442294,0.4834725,0.46124613,0.44151115,0.43135425,0.43211755,0.43966806,0.45072722,0.4610782,0.4663049,0.46341896,0.45262048,0.43832663,0.42540503,0.4178296,0.4156203,0.41747466,0.42161956,0.42855427,0.43908903,0.4530467,0.46739307,0.477958,0.48208287,0.48200557,0.48385444,0.49439195,0.512732,0.5306372,0.53508025,0.5218943,0.49597907,0.47019514,0.45238057,0.44631696,0.45119008,0.4667485,0.48666432,0.5003435,0.49587464,0.473743,0.44448447,0.42259094,0.413455,0.4155304,0.4253095,0.4400328,0.4553461,0.46251187,0.45613995,0.4375503,0.4163194,0.40040874,0.39326736,0.39285526,0.39763594,0.40638837,0.4181651,0.42896116,0.434316,0.4308375,0.42008504,0.40730634,0.4007081,0.4072574,0.43014133,0.46318722,0.4933683,0.5060325,0.49804676,0.47707275,0.456624,0.44441175,0.443154,0.45321715,0.47253248,0.49344587,0.5028965,0.4931997,0.4680346,0.4397411,0.41790342,0.40467426,0.39937446,0.4038576,0.41981778,0.44302356,0.4625679,0.47074202,0.46843818,0.4640346,0.46354613,0.46807587,0.47600925,0.48728824,0.5001086,0.50970507,0.50963086,0.50152797,0.49277708,0.49076262,0.49250054,0.49058983,0.4824283,0.47373578,0.47125563,0.4740264,0.4769536,0.4767369,0.47589722,0.47754678,0.48323312,0.49294996,0.50790334,0.5264388,0.5424233,0.54604745,0.5343544,0.51454216,0.49874207,0.49214768,0.48873916,0.48081315,0.46663356,0.45282307,0.44500092,0.4455155,0.45381543,0.46995,0.49056876,0.508051,0.5135824,0.5073563,0.49663457,0.48978996,0.48570096,0.47933516,0.46676925,0.4505508,0.43439484,0.42253947,0.41921833,0.42994523,0.45443103,0.48454484,0.5062609,0.5127551,0.5077436,0.501202,0.4979333,0.494476,0.4863727,0.47381973,0.4634749,0.4599832,0.46424732,0.4723631,0.48254585,0.49252963,0.50128555,0.5050375,0.50547034,0.50627047,0.51237375,0.5207012,0.52476335,0.5198914,0.5083908,0.49557936,0.4852806,0.47860906,0.476902,0.48043504,0.48809615,0.49527514,0.50020105,0.5043116,0.5114517,0.52051044,0.52509516,0.5189717,0.5028418,0.48489642,0.47379526,0.47215667,0.4759108,0.47834042,0.47530052,0.4663957,0.45463493,0.443194,0.43386623,0.4254168,0.4155245,0.40199783,0.38508055,0.367291,0.3518772,0.34060743,0.33206066,0.3236024,0.31356254,0.30282643,0.2940705,0.28969398,0.290235,0.29305255,0.29329538,0.2882886,0.27997613,0.2752997,0.27801403,0.2863376,0.29188284,0.2888596,0.27595243,0.25799817,0.2404557,0.22773397,0.22121292,0.21964645,0.22134836,0.22473526,0.2291402,0.23197956,0.23082082,0.22499971,0.217681,0.21248545,0.21015126,0.20849256,0.20500611,0.19971456,0.19383895,0.18853776,0.1833464,0.17752475,0.17083378,0.164073,0.15831132,0.15380307,0.14995465,0.14553808,0.13976842,0.13236845,0.12357482,0.113664724,0.10348203,0.095268875,0.09337305,0.101213716,0.11834494,0.13788487,0.15177958,0.15485226,0.14846642,0.13652451,0.12359628,0.113355584,0.109699346,0.11469242,0.12661703,0.1396101,0.14783907,0.14880633,0.14445616,0.13787992,0.13138431,0.12541252,0.11986201,0.114171535,0.10813841,0.102201425,0.098669745,0.10006342,0.10726044,0.117050745,0.12487221,0.12761106,0.12615807,0.12260946,0.11826175,0.11271147,0.10642942,0.100921504,0.097996324,0.097777575,0.10050496,0.10779927,0.121722825,0.14104135,0.15941437,0.16982765,0.16889916,0.15916395,0.14501494,0.13034622,0.117422916,0.10778912,0.102018006,0.09913107,0.097873144,0.09826546,0.10177573,0.108758874,0.116758995,0.12236395,0.12488562,0.12695675,0.13126837,0.13664764,0.13917172,0.13548918,0.12594095,0.113220155,0.10094017,0.09248947,0.09164107,0.10005259,0.115454316,0.13047177,0.13805656,0.1350673,0.124322176,0.11060404,0.09886142,0.093763985,0.099557586,0.117294036,0.14158426,0.16280968,0.17297012,0.17072473,0.15993,0.14556168,0.13116008,0.120612204,0.117741644,0.12467251,0.13757749,0.14958812,0.15437885,0.15124637,0.14292915,0.13322571,0.12429544,0.117373995,0.112705864,0.10968745,0.10710234,0.105255164,0.106663816,0.11389121,0.1259396,0.13722174,0.14186528,0.13767076,0.12749837,0.115680225,0.10554659,0.09876055,0.095960766,0.09648857,0.09811244,0.09889554,0.100549966,0.107381284,0.12252549,0.1420403,0.15822266,0.16415702,0.15970261,0.1484253,0.13495438,0.122051895,0.11214293,0.106586955,0.1052894,0.106037796,0.10766253,0.111684136,0.12068512,0.13417317,0.14709686,0.15485829,0.15685765,0.1567659,0.15670083,0.15534079,0.14939457,0.13755041,0.12130875,0.10400113,0.08975702,0.08358834,0.08893827,0.10498246,0.124245495,0.13747138,0.13868943,0.12920776,0.11391306,0.09835302,0.08672986,0.08387367,0.092376105,0.11039034,0.12894113,0.13904384,0.13617301,0.123864084,0.107858084,0.09380511,0.08575451,0.087915786,0.101840146,0.1239562,0.14531173,0.15778798,0.15847057,0.15086477,0.14001049,0.12990203,0.122458845,0.11865472,0.11797821,0.118385665,0.117984004,0.11783854,0.12119781,0.13007922,0.14109434,0.14812791,0.14665419,0.13800275,0.12657376,0.11665758,0.109934606,0.10735139,0.10905245,0.11433503,0.12034003,0.12579995,0.1327461,0.14548765,0.16437192,0.18327315,0.19381177,0.19144402,0.178122,0.1580571,0.13435486,0.10780272,0.07945868,0.051974267,0.029070936,0.013314143,0.0047145453,0.0011837609,0.0001963857,4.6739253E-05,4.767075E-05,4.8159196E-05,4.8346836E-05,4.836541E-05,4.850065E-05,4.8763726E-05,4.915461E-05,4.9232443E-05,4.8203703E-05,4.5103487E-05,3.9488656E-05,3.2248678E-05,2.563902E-05,2.2404534E-05]