[9.094477E-05,0.00010700198,0.0001789643,0.00037142483,0.00075267674,0.0013572881,0.00216809,0.0031079475,0.0041077915,0.0051307385,0.0062275683,0.0073906654,0.008557203,0.009526294,0.010202077,0.010563065,0.01074979,0.010835149,0.0108798,0.010865655,0.010808658,0.010693918,0.010529685,0.010335897,0.010173521,0.010076923,0.0100052515,0.009881872,0.0096358545,0.009261082,0.008694663,0.008059165,0.0077316035,0.008704667,0.011828874,0.017522069,0.02505674,0.033311356,0.0415263,0.050114904,0.060842067,0.075118,0.093035705,0.112015046,0.1287089,0.14017445,0.14544141,0.14459457,0.137762,0.12458613,0.1052616,0.08206905,0.059704646,0.043468248,0.03707795,0.040908962,0.052541386,0.06743554,0.08107916,0.09016506,0.09395584,0.09340215,0.090118654,0.08523184,0.07968786,0.07460681,0.07115022,0.06950468,0.0682298,0.0648316,0.058128234,0.0502986,0.047109127,0.054092485,0.072561294,0.09747385,0.12094893,0.13648771,0.14218277,0.13959314,0.13168749,0.12107495,0.10953853,0.098411776,0.08845428,0.08013946,0.0733253,0.06794795,0.06428252,0.063378,0.06596308,0.07146793,0.07735212,0.080607645,0.07936609,0.074201405,0.06718475,0.0606184,0.055697907,0.05261064,0.05127399,0.052020505,0.055355366,0.060636085,0.06617347,0.07083533,0.07606994,0.084150314,0.094377816,0.101468466,0.099714495,0.08851594,0.07387866,0.06400821,0.06448177,0.07556224,0.093386166,0.11160462,0.12453717,0.12922435,0.12703106,0.122388184,0.120925196,0.12629463,0.13854651,0.15312706,0.16384368,0.16578625,0.15846984,0.14437689,0.12711397,0.10914233,0.09202358,0.076813884,0.06418245,0.054232407,0.04642729,0.040172126,0.035060532,0.030898012,0.027492197,0.02458456,0.022099532,0.020142758,0.018943096,0.018494299,0.018496804,0.018459355,0.017975276,0.016945297,0.015572882,0.014266487,0.013684376,0.015355729,0.022181088,0.0375233,0.062181037,0.09201956,0.11882015,0.13521713,0.13858616,0.13155125,0.11851868,0.10304093,0.08693319,0.07125265,0.056880075,0.044610877,0.034977954,0.028400226,0.025735253,0.028451115,0.03802596,0.05426949,0.07443892,0.0937432,0.10786419,0.114908315,0.11600698,0.11383083,0.11101527,0.109137975,0.10879443,0.10963592,0.11045903,0.109239645,0.10499539,0.09980935,0.099660076,0.11022612,0.13187934,0.15747227,0.1774189,0.18586312,0.1836534,0.17514974,0.16444355,0.15352435,0.14327021,0.13414328,0.12627499,0.119144805,0.112267904,0.105858296,0.101311944,0.10020301,0.103385784,0.11009104,0.11864094,0.1273163,0.13521652,0.14194883,0.14710017,0.15006115,0.15053642,0.14912637,0.14740656,0.1471061,0.14903997,0.15255338,0.15623415,0.15931712,0.16207479,0.16527607,0.1686917,0.17123432,0.17148429,0.16898377,0.16407914,0.15754865,0.15007226,0.14238232,0.13538088,0.12969255,0.1251755,0.12094822,0.116419286,0.11193942,0.108649604,0.107272334,0.10735494,0.10733315,0.1055662,0.10133595,0.09510132,0.087878115,0.08028143,0.072184615,0.06308824,0.05283411,0.04198137,0.031763423,0.024161207,0.021937335,0.028497377,0.04578677,0.07219312,0.101083755,0.123933576,0.13412051,0.13077255,0.11794681,0.102665134,0.09133502,0.08759304,0.09073866,0.09657824,0.09990091,0.09785559,0.091874145,0.08725863,0.08979397,0.101688206,0.1191237,0.13445626,0.1407651,0.13623951,0.124556266,0.11304676,0.10892952,0.116279125,0.13340917,0.1535256,0.16798122,0.17135228,0.16459052,0.15449719,0.14950413,0.15413849,0.16643833,0.17997555,0.18907951,0.19218934,0.19143492,0.18969136,0.18870534,0.18874954,0.18960351,0.1907074,0.19178236,0.19234379,0.19203436,0.1895805,0.1835333,0.17248641,0.15730058,0.1406158,0.12654272,0.11754917,0.11390681,0.11334037,0.11357227,0.11365608,0.114451885,0.11700189,0.12109337,0.12527674,0.1282317,0.13016449,0.13248737,0.13645548,0.14202102,0.14811559,0.15382834,0.15861547,0.16200012,0.16282308,0.16031298,0.15485357,0.14849573,0.14303653,0.13847606,0.1320494,0.12093688,0.105069965,0.089593776,0.08153486,0.085528195,0.09935995,0.11621372,0.12871064,0.13374601,0.13233732,0.12770563,0.12241974,0.117794216,0.11408726,0.11093676,0.10744312,0.10250471,0.09602413,0.08961081,0.086265534,0.0881611,0.09486125,0.10293905,0.10806018,0.10742984,0.10115623,0.091609575,0.081771106,0.07403132,0.069925435,0.07043596,0.07569868,0.08423757,0.09277275,0.09771673,0.097425304,0.0934319,0.08881607,0.08537681,0.08150789,0.07410128,0.061998438,0.04861577,0.039329436,0.03716372,0.040070448,0.044004466,0.04756352,0.054148287,0.06821304,0.09076355,0.11767461,0.14371675,0.16539423,0.18172093,0.19134033,0.1927399,0.18562664,0.17252354,0.15745085,0.14368345,0.13306786,0.1260062,0.122010164,0.11915054,0.11511669,0.10832056,0.099532254,0.091122866,0.08573418,0.083948664,0.08381441,0.08171651,0.07516397,0.0644968,0.05269064,0.042924147,0.036722478,0.033516508,0.03184816,0.030384108,0.028507754,0.026222134,0.024420843,0.025160834,0.03178441,0.04695796,0.07008115,0.09546869,0.11507905,0.122918695,0.11861246,0.106274664,0.091829926,0.08058856,0.0764937,0.08124086,0.093516886,0.10943049,0.12457234,0.13609143,0.1433206,0.1468163,0.1475062,0.14636655,0.14465922,0.1435426,0.1435159,0.14398098,0.14352883,0.14043148,0.13330145,0.121875525,0.10740299,0.092100084,0.07757771,0.06473309,0.05529946,0.053672213,0.06486655,0.08972678,0.12189343,0.1506539,0.16757156,0.17038457,0.1620207,0.14672358,0.12820333,0.10952735,0.09341276,0.0814086,0.073542744,0.069221884,0.06903368,0.07478556,0.08782477,0.10609754,0.12448007,0.1370108,0.14088894,0.13704227,0.1294343,0.12259945,0.120482825,0.12468795,0.13377197,0.14355236,0.14965725,0.14979127,0.1447662,0.1374688,0.13171293,0.13059114,0.13521326,0.14384949,0.15305199,0.15961353,0.1618642,0.15918578,0.15092994,0.13646661,0.11629239,0.09294207,0.07021674,0.051445078,0.038674757,0.033285875,0.037319023,0.05202983,0.07570699,0.10169741,0.12182259,0.13057967,0.12849967,0.11992075,0.109690584,0.10073409,0.09468364,0.09328773,0.09850798,0.11114832,0.12927857,0.14890988,0.16642036,0.18056583,0.1920671,0.20140642,0.20770536,0.20932859,0.20571573,0.19793902,0.1881826,0.17827488,0.16890584,0.15967941,0.1500221,0.1401533,0.13134895,0.1255007,0.12431251,0.1285369,0.13740069,0.14818132,0.15666425,0.15861718,0.15207255,0.13895406,0.12461921,0.114930816,0.11237354,0.11420208,0.114028536,0.106342286,0.090123884,0.07043671,0.0559081,0.0552181,0.07176056,0.10155878,0.13405688,0.158557,0.16971833,0.16966613,0.16395737,0.1570825,0.15038118,0.14365731,0.137138,0.13229872,0.13075812,0.13338916,0.13955368,0.14813507,0.1576169,0.16675562,0.17401975,0.1787346,0.1814668,0.18396701,0.18745668,0.1916728,0.19577658,0.20002116,0.20624065,0.21614867,0.23178601,0.2566607,0.29804862,0.35855374,0.42983842,0.48829493,0.51222223,0.49445602,0.4495237,0.3983008,0.35537004,0.32218692,0.29324904,0.26324597,0.23124076,0.20013307,0.17398053,0.15546666,0.14506511,0.14129592,0.14176278,0.1438136,0.14518984,0.14458059,0.14188723,0.13775586,0.13255912,0.12576933,0.117056586,0.10754793,0.100225516,0.097662516,0.100092985,0.10491148,0.10881127,0.10997156,0.109119006,0.10865331,0.1108596,0.11635535,0.123726584,0.13052082,0.13454343,0.13488145,0.13202816,0.12750606,0.122942634,0.11880905,0.1139361,0.10590129,0.09337606,0.07771382,0.06368648,0.056766417,0.060082197,0.07184491,0.08670033,0.098976515,0.105982445,0.108335435,0.10812253,0.10688604,0.10483224,0.1010169,0.09420156,0.0844,0.0759831,0.079500765,0.11057963,0.18039612,0.28400838,0.39444092,0.47533727,0.50323856,0.4817529,0.4343804,0.3842146,0.34208944,0.3068013,0.27527997,0.24620628,0.22200634,0.20462142,0.19455844,0.18860818,0.18238564,0.17276137,0.16053367,0.14917833,0.14195801,0.13932736,0.13884465,0.1371786,0.13217206,0.12439692,0.11627576,0.110570274,0.10747156,0.104761265,0.099364966,0.09088189,0.082230754,0.077799104,0.08019491,0.088291936,0.09850801,0.106915765,0.11180258,0.11361436,0.114398696,0.116120696,0.11998006,0.12589227,0.13277052,0.13918938,0.14392988,0.1462717,0.14569695,0.14227463,0.13718976,0.13266625,0.13060378,0.13077682,0.13116175,0.1294014,0.12511757,0.11995261,0.11683936,0.11781686,0.12285862,0.1296606,0.13518392,0.13718553,0.13490593,0.1291355,0.12231494,0.11812068,0.11945101,0.12604864,0.13406833,0.13866484,0.13699025,0.12947245,0.11842694,0.10635837,0.094621725,0.083554775,0.07307484,0.06374235,0.057176575,0.05548152,0.06033201,0.07207177,0.089690186,0.110437036,0.13017024,0.14442675,0.15054454,0.14887494,0.14175552,0.1314159,0.11863079,0.10342064,0.08632898,0.06886176,0.053096216,0.041412625,0.036729716,0.042064447,0.05850758,0.08319589,0.1092507,0.12896816,0.13749635,0.1346538,0.12355871,0.10810992,0.091136396,0.07419662,0.058317866,0.044701803,0.035208534,0.03233024,0.039124314,0.057377864,0.08561474,0.1176937,0.14564204,0.16381393,0.17163624,0.1718608,0.16713904,0.15818176,0.14438951,0.12566122,0.10325146,0.08002206,0.059859384,0.047425184,0.047153186,0.061629366,0.08926269,0.123492755,0.15521997,0.17678715,0.18537474,0.18270743,0.1735416,0.16306879,0.15549107,0.15256493,0.15353133,0.15624571,0.15880473,0.16056162,0.16171044,0.16268419,0.16368663,0.16463655,0.16516142,0.16453397,0.16196196,0.15680656,0.14869143,0.13734892,0.12273846,0.105546676,0.087457955,0.070624694,0.056626517,0.04638113,0.041370317,0.04499254,0.060958713,0.089406215,0.12390243,0.15384428,0.17063053,0.17219616,0.16258171,0.14786188,0.13353792,0.12374059,0.12143538,0.12729251,0.13884883,0.151459,0.16095845,0.1663758,0.16984761,0.17475416,0.18258633,0.19207378,0.20009466,0.20438589,0.20534416,0.20565175,0.20835848,0.21438003,0.2221152,0.22847919,0.23117761,0.22970726,0.22508346,0.21876651,0.21203052,0.20556144,0.1992477,0.19167428,0.18091106,0.16548048,0.14601095,0.124928206,0.105421655,0.08957771,0.07786427,0.069591366,0.06373126,0.059212953,0.05498843,0.050660457,0.047535986,0.0486434,0.056743663,0.0716122,0.08914009,0.10378615,0.11189779,0.11346076,0.11074146,0.10622541,0.10130551,0.09647181,0.09182509,0.08732045,0.08277107,0.077980764,0.07336438,0.07050747,0.072107695,0.0802645,0.0943565,0.10987747,0.12061296,0.1221169,0.11452264,0.10159496,0.08802975,0.07656612,0.067500554,0.059624154,0.051875073,0.04411368,0.037386563,0.033750325,0.03600652,0.04624812,0.06400159,0.08499703,0.10281972,0.111983515,0.11075964,0.10135346,0.088165335,0.075308,0.0649344,0.057011902,0.05023691,0.043441325,0.036791954,0.032391217,0.03398185,0.044808343,0.064785324,0.08878458,0.10882486,0.11841047,0.11605978,0.10506869,0.09076333,0.07756725,0.06749279,0.060307954,0.05455408,0.04924385,0.044784084,0.04350004,0.048237607,0.06081995,0.07976921,0.100704454,0.11800266,0.12780406,0.12899679,0.12274289,0.11130497,0.09734211,0.08377057,0.07324111,0.06753548,0.06683469,0.069549344,0.07343406,0.07747433,0.083637275,0.095155835,0.11325669,0.1341358,0.15125686,0.15928178,0.15756486,0.14925091,0.13945387,0.13316137,0.1337443,0.14130805,0.15224504,0.16150409,0.16576995,0.16530462,0.16236997,0.15855478,0.15311714,0.14414348,0.1311162,0.116666734,0.10568025,0.102144994,0.10655048,0.11575916,0.12562257,0.1333404,0.13817494,0.14009736,0.13887449,0.13428168,0.1271251,0.11945061,0.11303058,0.1079726,0.102210216,0.09362527,0.081627496,0.06792373,0.0548377,0.044232402,0.03702462,0.033726703,0.0343488,0.037984457,0.04276229,0.046856478,0.05008274,0.054488372,0.062923424,0.07599645,0.09038455,0.10033622,0.101885974,0.095447205,0.08498203,0.07446105,0.06573395,0.058565903,0.052218765,0.0462205,0.04049948,0.035245236,0.03126753,0.030175516,0.033669334,0.04186493,0.052141815,0.05998391,0.06178749,0.057183933,0.049336,0.04291979,0.041762132,0.0468705,0.05570062,0.06319344,0.064583145,0.05892859,0.050458115,0.046974804,0.055000436,0.07478279,0.098475754,0.114355646,0.11483973,0.1013573,0.08240723,0.066849604,0.05933802,0.05972828,0.06468446,0.06947272,0.06990633,0.06488677,0.057287786,0.05283262,0.056838512,0.07085626,0.09061215,0.107774414,0.11550841,0.113547005,0.10806919,0.10631905,0.11187651,0.123753466,0.13834341,0.15071625,0.15560961,0.15005665,0.13629073,0.1226416,0.11839331,0.12788382,0.14640352,0.1641059,0.17200911,0.16777484,0.15561996,0.14325243,0.13693166,0.13776629,0.14076704,0.13804752,0.124537855,0.10219451,0.07916894,0.065251954,0.06680011,0.084351905,0.112633936,0.14277126,0.16540433,0.17418791,0.16748412,0.14907925,0.12664561,0.1095477,0.10411981,0.11078867,0.12374481,0.13530242,0.14048104,0.13986434,0.13883267,0.14356096,0.15608682,0.17161907,0.1819733,0.18189907,0.17329049,0.16286884,0.15694761,0.15774699,0.16344927,0.17034559,0.17500784,0.17602652,0.1740738,0.17170668,0.17205791,0.1782785,0.19048695,0.20438309,0.21142717,0.20496106,0.18432008,0.15581463,0.12788339,0.10747248,0.09806784,0.099666186,0.108729266,0.1190928,0.124659635,0.123240374,0.11888816,0.120301865,0.13377003,0.15685268,0.17795174,0.1854068,0.17607541,0.15730332,0.14001639,0.13164438,0.13314699,0.14048737,0.14789079,0.15082501,0.14821672,0.14313231,0.141577,0.1497463,0.16854382,0.19156516,0.20720063,0.20821105,0.19564377,0.17755322,0.16107725,0.15047294,0.14732827,0.15202771,0.16158687,0.1702853,0.17284082,0.17001206,0.16873087,0.17870492,0.20289046,0.23385108,0.25457355,0.2522119,0.22639619,0.19221427,0.16750263,0.16291033,0.17563154,0.19496901,0.2090769,0.2120504,0.20554872,0.19754924,0.19772911,0.21114482,0.23400481,0.25390965,0.25896603,0.24595237,0.22337413,0.20326851,0.19301586,0.19177096,0.19438452,0.1961015,0.19493967,0.19127701,0.18677907,0.18352948,0.18379109,0.18867952,0.19689976,0.20370902,0.20355932,0.19389135,0.1778009,0.16194494,0.15198608,0.14966516,0.15302138,0.15913795,0.16523142,0.16939974,0.17055894,0.17033662,0.17286758,0.18211193,0.19671942,0.20907195,0.2101952,0.19723915,0.17562973,0.15457739,0.14055759,0.13477983,0.1348736,0.13765271,0.14095987,0.14431204,0.14912848,0.15789895,0.17230964,0.19085348,0.20785944,0.21579309,0.2099291,0.19171743,0.1680309,0.1471817,0.1352437,0.1337465,0.13959865,0.1466447,0.14977364,0.14744751,0.1421569,0.137518,0.13722414,0.1431187,0.15494303,0.16842413,0.17847025,0.18161006,0.17935069,0.17500608,0.17138718,0.16823532,0.16415375,0.15793307,0.1496646,0.14066638,0.13352434,0.13276671,0.14210145,0.1614564,0.18309014,0.19637837,0.19328742,0.17495205,0.14896496,0.1258684,0.113729656,0.11621073,0.13094376,0.15092574,0.16823511,0.17823642,0.18111962,0.18049832,0.18015337,0.1817627,0.1828913,0.17891352,0.16576046,0.14514633,0.12467336,0.11508208,0.12223259,0.14317358,0.16669653,0.18149799,0.18243144,0.1736304,0.16435058,0.16471587,0.17811514,0.19953059,0.21556234,0.21589096,0.19883697,0.17457928,0.15521699,0.14890528,0.1554646,0.16957964,0.18421789,0.19402029,0.19724841,0.19564818,0.19374065,0.19535889,0.20094542,0.20542927,0.20221645,0.18759973,0.16476779,0.14110789,0.12485334,0.120630264,0.12837973,0.1429217,0.15698601,0.16480358,0.1656682,0.1639926,0.16707398,0.18092561,0.20569122,0.2340738,0.2541623,0.25738677,0.24313305,0.21863957,0.1931821,0.17310804,0.15948325,0.14839734,0.13506024,0.11751745,0.10014486,0.091251254,0.09870422,0.12371838,0.15885305,0.19073983,0.2077523,0.20624578,0.19179614,0.17440106,0.16278748,0.16025698,0.16424762,0.16838759,0.16722105,0.16032322,0.15360324,0.15568827,0.17173083,0.1983844,0.22413814,0.23583472,0.22706246,0.20204006,0.17230248,0.1498524,0.14228304,0.15067707,0.1698099,0.18956614,0.20046717,0.19924873,0.19212908,0.19037491,0.2031685,0.23045206,0.26279184,0.286768,0.2939813,0.28509605,0.2681243,0.25177935,0.24160028,0.23840697,0.24004973,0.24230276,0.24130912,0.23570363,0.22929345,0.22964622,0.24319942,0.26849878,0.29497337,0.3086466,0.30131713,0.27563363,0.24290486,0.21580647,0.20079881,0.1955635,0.19290636,0.18758893,0.18046449,0.17701548,0.18408386,0.20556317,0.23962379,0.2768104,0.30420017,0.3128113,0.30285808,0.28189847,0.25790274,0.23545234,0.2152719,0.19726698,0.1812836,0.16785653,0.15804571,0.15417944,0.15983565,0.17772053,0.20668226,0.2393337,0.26497284,0.2748873,0.2675287,0.24802361,0.22427088,0.20237535,0.18479095,0.17105941,0.15974793,0.15045275,0.14504085,0.1477378,0.16311985,0.19215608,0.22886801,0.26150575,0.2788087,0.2766271,0.2594001,0.23591457,0.21385795,0.19727029,0.18703367,0.1823421,0.18149495,0.18265468,0.1848647,0.18928398,0.19855593,0.21421506,0.23367774,0.25036618,0.25722387,0.25084177,0.23338301,0.21163268,0.19486552,0.19070011,0.2008424,0.21869959,0.23365445,0.23859985,0.23545115,0.2324857,0.23718016,0.2504646,0.26680505,0.2783748,0.27903792,0.26703033,0.24538349,0.22105594,0.20105378,0.18793428,0.17833519,0.16668296,0.1512249,0.1361587,0.12912627,0.13667683,0.16057794,0.1964789,0.23386319,0.26109892,0.27055585,0.26328003,0.24638443,0.2290588,0.21752222,0.21316035,0.21225286,0.20822339,0.19691074,0.180921,0.17099442,0.17874324,0.20777203,0.24698545,0.27679852,0.28089884,0.25777388,0.21975696,0.18443258,0.16363738,0.15884928,0.16261669,0.16446376,0.15693446,0.14008339,0.1217167,0.11450431,0.12794645,0.16166025,0.20230941,0.23187853,0.23854013,0.22459202,0.2028111,0.1873684,0.18531536,0.1937936,0.20313329,0.20295821,0.18879695,0.16535233,0.14450237,0.1388309,0.15365918,0.18270856,0.21092193,0.22386809,0.21812986,0.20301561,0.19329722,0.19729823,0.21304035,0.23148791,0.24440058,0.2471289,0.2383944,0.21997958,0.19807379,0.18401854,0.18737243,0.2088093,0.2364933,0.25563177,0.25847033,0.2494212,0.23869045,0.23440237,0.2377826,0.24434088,0.24773692,0.24420719,0.23501556,0.2266952,0.22840585,0.24763674,0.2845695,0.32990053,0.36807355,0.38611317,0.37915388,0.35096732,0.3086822,0.26034734,0.21354045,0.17544024,0.15050139,0.13900876,0.13808078,0.14464046,0.15710771,0.17435156,0.19314472,0.20861614,0.21568884,0.21215987,0.19912232,0.18187277,0.16769141,0.16240919,0.1660703,0.17370163,0.17944801,0.18123668,0.18030995,0.17912744,0.17918108,0.18151267,0.1861816,0.19156961,0.19367693,0.18876065,0.17688537,0.1637414,0.15695669,0.16039594,0.17085874,0.1812461,0.18600954,0.18518567,0.18290685,0.18390916,0.18902878,0.19468357,0.19484805,0.18637411,0.17152248,0.1573502,0.15119295,0.1573592,0.17546725,0.20122683,0.22793598,0.24952535,0.26298916,0.26920494,0.27073112,0.26895466,0.26278415,0.24987942,0.22992863,0.2058158,0.18273829,0.16456799,0.15333544,0.14955224,0.15328185,0.16200332,0.16966788,0.16871385,0.15597364,0.13639943,0.12215679,0.124388635,0.14753251,0.18579318,0.2296626,0.26904067,0.2983669,0.3142422,0.31705073,0.30982372,0.29906404,0.2913287,0.28910625,0.2893026,0.28586832,0.27697912,0.26651505,0.26229307,0.26761028,0.2793722,0.28911504,0.2904905,0.28248873,0.2690117,0.25473347,0.24178974,0.23015499,0.2189366,0.20863505,0.20068352,0.19685905,0.1972462,0.19993933,0.2008686,0.19596063,0.18275648,0.16263828,0.14007373,0.1215156,0.11287064,0.1184229,0.13900657,0.17124037,0.20739122,0.23830628,0.25857285,0.27164435,0.29116663,0.33122128,0.3947638,0.46453738,0.5158418,0.53113705,0.51416683,0.48139203,0.45193604,0.43633628,0.4355842,0.4439598,0.45264897,0.4571357,0.4562936,0.4546298,0.45363483,0.45531192,0.45671394,0.45787084,0.45583805,0.45218155,0.44624496,0.4418585,0.43922874,0.43984604,0.4399527,0.43766668,0.43006137,0.41976258,0.410831,0.40996042,0.4191554,0.43420872,0.44465744,0.44020092,0.41763666,0.38147998,0.34150696,0.3056413,0.2778403,0.25755236,0.24315245,0.23419921,0.23154338,0.23563766,0.24499677,0.25574094,0.2633138,0.26274237,0.25153223,0.22911124,0.19933665,0.16803531,0.14324605,0.13133776,0.13540328,0.1525014,0.17486106,0.19366212,0.20402332,0.20917748,0.21981943,0.250218,0.3059549,0.3774052,0.43929502,0.4698803,0.46292147,0.4326581,0.39766124,0.37116048,0.35586214,0.35049355,0.35299087,0.36211872,0.37582517,0.3912175,0.4053686,0.4168025,0.42519978,0.43088678,0.43442097,0.43709508,0.4396335,0.44077983,0.4375988,0.42921647,0.41851512,0.41052118,0.40692472,0.40540814,0.40147743,0.3944044,0.38753188,0.38575792,0.3891431,0.3910806,0.38226035,0.35739633,0.31899998,0.27503994,0.23468281,0.2051468,0.18981177,0.18788634,0.1944146,0.20360835,0.21142715,0.2175675,0.2234481,0.22979201,0.23521626,0.23769754,0.23659438,0.23245585,0.22540887,0.21493708,0.20157753,0.18831825,0.17783546,0.16976757,0.15947998,0.14304574,0.12368403,0.114985,0.13637388,0.19679332,0.28582886,0.37227198,0.4281502,0.44191846,0.42725,0.40463343,0.39072248,0.3895329,0.3974239,0.40787542,0.4144754,0.41491172,0.4103402,0.40701273,0.4097929,0.4194579,0.42897412,0.42936215,0.4163221,0.39528897,0.37757608,0.37140086,0.37549746,0.38085413,0.37839213,0.36617783,0.34928134,0.33637336,0.33376226,0.34401563,0.36391866,0.38603047,0.40033436,0.39953637,0.38277003,0.3556073,0.3259396,0.29844072,0.2737889,0.25064155,0.22966307,0.21329851,0.20394425,0.20143683,0.20347665,0.20723844,0.21097808,0.21430361,0.21753186,0.2205485,0.22165044,0.21782517,0.20661975,0.18952997,0.1718682,0.15976025,0.15444233,0.15183617,0.14556986,0.13296637,0.11703318,0.10576019,0.10717401,0.124747306,0.15379567,0.18406956,0.20468132,0.21026616,0.20251107,0.18920682,0.1796465,0.17978115,0.1887415,0.2002062,0.20710142,0.20600961,0.19807619,0.187297,0.17799515,0.17329209,0.1739,0.17830133,0.18310666,0.18516052,0.18318562,0.17977983,0.17914973,0.18463232,0.19453149,0.20504256,0.21187174,0.21529885,0.21769528,0.22322853,0.23242472,0.24248908,0.24737848,0.2439611,0.23330037,0.22096963,0.21161084,0.2082731,0.21028495,0.21501188,0.21627177,0.20863879,0.19063796,0.16897242,0.15406084,0.1539207,0.16799062,0.18844788,0.20529753,0.2124509,0.21025288,0.2042883,0.20178853,0.20767735,0.22088975,0.23481877,0.24042161,0.23355784,0.21869452,0.20861797,0.21996796,0.26160315,0.33108807,0.4071779,0.4677423,0.4936299,0.48760128,0.46119222,0.43483916,0.4191229,0.41678488,0.41999903,0.42151794,0.4187834,0.41516614,0.41447768,0.416418,0.41811422,0.41714373,0.41530547,0.4146879,0.4155685,0.41350684,0.4056909,0.39332977,0.38335267,0.38046825,0.38398182,0.38712946,0.384335,0.37539527,0.36715528,0.36817405,0.38291502,0.4053432,0.4222331,0.41924843,0.3921555,0.3469166,0.2975236,0.2559897,0.2283258,0.21134241,0.19697218,0.1778199,0.15265511,0.12674727,0.108155884,0.10266129,0.110895365,0.12794699,0.14626831,0.15833074,0.16006447,0.15198891,0.14012359,0.13270622,0.135548,0.1475905,0.16279685,0.17508046,0.18488753,0.19985229,0.23374514,0.2954111,0.38121092,0.4671789,0.5245773,0.5346996,0.50581497,0.46110845,0.42569223,0.41037473,0.41422608,0.42905,0.44549516,0.45761347,0.4626318,0.46445575,0.46628764,0.4726641,0.4810742,0.48908815,0.49006557,0.4825448,0.46572444,0.4445705,0.4231224,0.40656242,0.39530942,0.38723028,0.37588012,0.35879335,0.33876452,0.32746986,0.33297262,0.35516825,0.3785474,0.38650513,0.36909994,0.3327357,0.29003486,0.25312823,0.22691774,0.21338516,0.21285605,0.22356606,0.23904885,0.25048193,0.25274482,0.24823242,0.2452582,0.25038576,0.2636012,0.27692854,0.28047046,0.26776806,0.24102913,0.20953523,0.18457298,0.17130621,0.1659563,0.15974247,0.147367,0.13321452,0.13120572,0.16008295,0.23118496,0.3382614,0.4516158,0.53412896,0.5618765,0.541343,0.49950814,0.46377254,0.44396523,0.4334862,0.42197135,0.40592727,0.39039615,0.38085067,0.37804702,0.37722483,0.3743938,0.3694508,0.36569002,0.36630437,0.37267888,0.385393,0.4026208,0.4191645,0.42612967,0.41813627,0.39822373,0.37804648,0.36921325,0.37638703,0.39568368,0.41826752,0.43445382,0.4361656,0.42023155,0.38963887,0.35278618,0.3186663,0.29302955,0.2767867,0.26733872,0.26136407,0.25656924,0.25272843,0.24988747,0.24792498,0.24612701,0.24512576,0.24640067,0.25106764,0.25747684,0.26118335,0.25669876,0.24079593,0.21500655,0.18611501,0.16302551,0.1522083,0.15337455,0.15980439,0.1617703,0.15353853,0.13646881,0.11834657,0.10602436,0.1012786,0.10017762,0.09852689,0.09500498,0.092090584,0.09379735,0.103064395,0.119391054,0.13769667,0.150734,0.15298773,0.14484942,0.13250326,0.12564819,0.13182665,0.15260695,0.18097824,0.20584041,0.21757151,0.21441996,0.20135915,0.18685128,0.17736606,0.1755001,0.17956237,0.1852154,0.18808095,0.18581127,0.17951779,0.17240168,0.16815744,0.16804713,0.17029099,0.17017657,0.16329879,0.14802092,0.12799077,0.11072433,0.104349606,0.11163247,0.12778732,0.14268292,0.14840119,0.14399527,0.13597308,0.13282643,0.13957672,0.15386267,0.16747399,0.17157412,0.1631533,0.14675818,0.13127567,0.12379574,0.12613223,0.13432734,0.14175914,0.14277585,0.13591838,0.12442666,0.114310466,0.11113139,0.11693027,0.12897162,0.14079535,0.14584906,0.1413424,0.12977637,0.11690846,0.10775419,0.10370442,0.10242655,0.10025256,0.09480343,0.086306274,0.07732307,0.07183507,0.073112525,0.081458725,0.09241632,0.09947544,0.098017685,0.08907791,0.07763383,0.06972554,0.06871867,0.07447166,0.08313612,0.08963033,0.09021937,0.08537794,0.07945359,0.07881547,0.08756349,0.10421575,0.12088099,0.12784895,0.12039458,0.102570914,0.08433878,0.07469487,0.07601284,0.08348813,0.08897909,0.08696606,0.07770689,0.06677503,0.060989123,0.06519437,0.079746865,0.100392826,0.11934272,0.12936018,0.12741542,0.11627818,0.102343895,0.09229269,0.09013458,0.0952557,0.10280893,0.106250875,0.10184577,0.091027535,0.079976216,0.07573277,0.08188969,0.09571732,0.10939607,0.11495257,0.10925991,0.09569167,0.08120143,0.07231305,0.07147545,0.0763408,0.08103176,0.08041146,0.07347223,0.064559616,0.060644817,0.06708303,0.0840409,0.105323374,0.121629626,0.12561871,0.1168047,0.10119721,0.08762915,0.082082815,0.08487802,0.0909478,0.093934454,0.09015464,0.08096831,0.07132275,0.06748569,0.073526494,0.08902217,0.107571326,0.12014864,0.12061923,0.11101531,0.100270905,0.09909606,0.11282917,0.13915855,0.16927326,0.19377959,0.20665576,0.20724495,0.19795285,0.18252337,0.16500176,0.14949888,0.13936467,0.1359364,0.13835251,0.14390655,0.14925295,0.15170704,0.14995553,0.14397065,0.13385786,0.12002555,0.10357335,0.087446816,0.07578376,0.07290685,0.08066522,0.096974306,0.115573406,0.12966199,0.1353333,0.13366817,0.1284227,0.12352397,0.12069819,0.11962831,0.11807963,0.11358798,0.10510769,0.09525612,0.089800775,0.09445993,0.11003705,0.13065065,0.14706893,0.15287668,0.14812084,0.13787396,0.12802874,0.122129,0.12075757,0.12213195,0.123382755,0.12180158,0.11675478,0.11036125,0.107122414,0.11129873,0.12388339,0.14062989,0.1536094,0.15594353,0.14626145,0.12974598,0.114735804,0.107845224,0.11018116,0.117194146,0.121905774,0.11975334,0.11145806,0.10223523,0.098419,0.10345184,0.11590878,0.12977159,0.13816117,0.13715737,0.12833653,0.117433615,0.11147058,0.11468917,0.12634988,0.14053605,0.15008314,0.15189016,0.14999735,0.15388866,0.1696819,0.194802,0.2165095,0.2233126,0.2116371,0.18908542,0.16582136,0.14941394,0.14197898,0.14190085,0.14506663,0.1460866,0.14111032,0.13137788,0.1244235,0.13160594,0.15720306,0.19402577,0.22255798,0.22879063,0.21040452,0.18057974,0.15227379,0.1340192,0.12601753,0.12631597,0.1308319,0.13491298,0.13406481,0.12831004,0.12425723,0.13329609,0.16084327,0.20019424,0.23205107,0.24101554,0.22344601,0.19117863,0.15799212,0.13460216,0.12301725,0.12048736,0.11995572,0.11531783,0.10487938,0.09439535,0.09494745,0.114938654,0.15313785,0.19506092,0.22276916,0.22452849,0.20289928,0.16944069,0.13828075,0.118771486,0.1136084,0.1184536,0.12524436,0.12660377,0.12178547,0.11726893,0.12508813,0.15053421,0.18787326,0.21766545,0.22467214,0.20447958,0.16897315,0.13206606,0.10497121,0.09125332,0.0905718,0.09876585,0.10976731,0.11784977,0.122125,0.128168,0.14640622,0.1809984,0.22498362,0.25915504,0.26933494,0.25232413,0.21940744,0.18246889,0.15102321,0.12857738,0.11619705,0.11134893,0.10942739,0.10667042,0.104441114,0.11053116,0.13445483,0.17759866,0.22813237,0.26501307,0.27309614,0.25138816,0.2139281,0.17881142,0.16107237,0.16568688,0.18785162,0.21550459,0.23768406,0.25054914,0.25860345,0.26985165,0.2879468,0.3088648,0.32159662,0.317955,0.29770222,0.27008203,0.24507086,0.22887087,0.22292966,0.22751279,0.24208117,0.26331854,0.2850339,0.30244628,0.31741455,0.33921656,0.37575457,0.42551398,0.47413072,0.5058823,0.5130005,0.5009673,0.48016474,0.45944953,0.4414507,0.42578283,0.4106038,0.3959862,0.38206562,0.37125173,0.36570966,0.36996034,0.38372013,0.40268993,0.41478038,0.4120207,0.39151525,0.360836,0.32800612,0.30101717,0.28265253,0.2735255,0.270664,0.27023956,0.2693309,0.26894686,0.27382058,0.28915116,0.3150843,0.34452513,0.36569357,0.37030432,0.35735202,0.3336924,0.30715802,0.2840033,0.2657561,0.25166133,0.23865117,0.22433138,0.20902061,0.19798116,0.20016563,0.2207576,0.2557145,0.2899331,0.3086559,0.30549785,0.2870464,0.26350477,0.2423036,0.22403361,0.20753992,0.19243115,0.1810043,0.1742491,0.17368509,0.18025416,0.19892775,0.22880442,0.2632527,0.28502324,0.28395978,0.2590648,0.2229862,0.18751496,0.16068876,0.14441301,0.13748652,0.13698845,0.13750972,0.1354162,0.13109557,0.13258918,0.15132912,0.19173913,0.24430116,0.28575107,0.29789957,0.2775058,0.24106432,0.20843065,0.19376783,0.19889854,0.21777909,0.24047196,0.25731468,0.26306272,0.25940603,0.25490794,0.25982472,0.2772495,0.30067417,0.31688085,0.3187079,0.3070439,0.29039538,0.2744144,0.2617539,0.25124213,0.24221627,0.23361002,0.22460417,0.21575277,0.21092476,0.21779911,0.23997217,0.27189782,0.29600796,0.29727265,0.27138463,0.23055558,0.19070034,0.16495347,0.15712537,0.16509943,0.18142022,0.19718994,0.2055121,0.2067396,0.20908149,0.22641738,0.26772276,0.33219153,0.40357724,0.46253905,0.49189353,0.48904744,0.45936248,0.41555747,0.36779556,0.32481182,0.29138145,0.27059618,0.262071,0.26396406,0.27419055,0.2928134,0.31696704,0.33998334,0.35102615,0.3463328,0.32981625,0.3122189,0.29977462,0.29352954,0.29008818,0.28631485,0.27987108,0.26928103,0.2554482,0.24320771,0.24098258,0.25727272,0.29264176,0.337428,0.3725079,0.38367745,0.36769786,0.33672878,0.30583835,0.28655422,0.27960077,0.27965033,0.27906883,0.2742423,0.26657224,0.26153207,0.26499593,0.27819,0.29604384,0.30810347,0.30715695,0.2931368,0.27387515,0.25712466,0.24681032,0.24211967,0.24116355,0.24242264,0.24498315,0.24782698,0.2513027,0.25732982,0.27004564,0.28843543,0.3062354,0.3097236,0.29254484,0.25646853,0.21602888,0.18382554,0.16824818,0.16677444,0.17228587,0.17557533,0.17200512,0.16219862,0.15293126,0.15355884,0.17377788,0.2143553,0.26543227,0.30638334,0.32223272,0.30910036,0.27848974,0.24507195,0.22192796,0.21377717,0.21733443,0.22281758,0.22032392,0.20704395,0.18991047,0.18221156,0.19564426,0.23164086,0.27918717,0.3192799,0.33765018,0.33106318,0.30804744,0.2800403,0.2567849,0.24330689,0.24051124,0.24485241,0.24975653,0.25101963,0.25098598,0.2592223,0.28182402,0.31473258,0.34109822,0.34610692,0.3243489,0.28525084,0.24285148,0.21116947,0.19704646,0.19897406,0.20763712,0.21173997,0.2062266,0.19565831,0.1924712,0.20854503,0.2455587,0.29177466,0.32865155,0.34488603,0.34183034,0.32855034,0.31296661,0.29852092,0.28751406,0.28094295,0.27890885,0.27907705,0.2797484,0.28147724,0.28749144,0.30281138,0.32816514,0.3583674,0.380121,0.3838488,0.36742672,0.34050122,0.31331995,0.29363307,0.28279027,0.27943256,0.27921477,0.27684593,0.2689724,0.25825343,0.25278366,0.26135615,0.28474593,0.31450254,0.33564806,0.3388766,0.32311282,0.29645956,0.26735315,0.24370438,0.22970217,0.22658193,0.2301098,0.2338094,0.2341283,0.234668,0.24426572,0.26724878,0.2985175,0.32320568,0.32965863,0.31494412,0.28712952,0.25619963,0.23007052,0.21256928,0.2047133,0.20546655,0.21160907,0.21878815,0.2239693,0.22796632,0.23725201,0.25603756,0.28181276,0.30090138,0.30255833,0.28401527,0.25574866,0.22850168,0.21002121,0.20072238,0.19870627,0.2001208,0.20114182,0.19886304,0.19454837,0.19471861,0.20959122,0.24272561,0.28658321,0.3214875,0.3329276,0.3172262,0.28578472,0.2509805,0.22397842,0.21009964,0.21137793,0.22346298,0.23768239,0.24634843,0.24910247,0.25331315,0.26752934,0.29184833,0.31632993,0.32647035,0.3164165,0.2908114,0.26175648,0.23744766,0.22112143,0.21122046,0.20592941,0.20295231,0.20006764,0.19617015,0.19347823,0.19885884,0.21848638,0.25167406,0.28640947,0.30826446,0.30960295,0.29568756,0.27691215,0.2616878,0.25194988,0.24608044,0.24128282,0.23553966,0.22802156,0.2212954,0.22105442,0.23569,0.26698497,0.30925748,0.3478155,0.37461045,0.38766098,0.39305875,0.39181218,0.38432276,0.3710816,0.3577976,0.3490897,0.3455173,0.3429526,0.338588,0.33424833,0.33718088,0.35215417,0.3766049,0.3974708,0.4015055,0.38242057,0.34686878,0.3067951,0.27322122,0.24990553,0.23522246,0.22511782,0.21660255,0.20917833,0.20436446,0.20536351,0.21363272,0.22664194,0.23711854,0.23879619,0.23149078,0.22079933,0.21276855,0.20896862,0.20869078,0.21069904,0.21531086,0.22063617,0.22353816,0.22103025,0.21531148,0.21404068,0.22478168,0.2485203,0.27506357,0.2905185,0.284331,0.25772652,0.22077169,0.1879037,0.16894285,0.16555639,0.17112939,0.17729771,0.1786186,0.17661987,0.17675199,0.18661709,0.20730852,0.23360814,0.253479,0.26113215,0.2571797,0.24935853,0.24106646,0.23375386,0.22733898,0.22475795,0.22723265,0.23219049,0.23421507,0.2308952,0.22733504,0.23387529,0.2565261,0.28961018,0.3157204,0.3201861,0.29979885,0.26687348,0.23651409,0.21877164,0.21260905,0.21062994,0.20479898,0.1918604,0.17565262,0.1660301,0.17423089,0.2064472,0.25529644,0.3028774,0.32809785,0.3237531,0.29667735,0.26399913,0.2382154,0.22512464,0.22268347,0.22660421,0.2315315,0.23417766,0.23458321,0.2367353,0.24670565,0.26686934,0.2934406,0.31525815,0.32340434,0.3151128,0.29767993,0.27927777,0.265991,0.25757053,0.25247273,0.24774784,0.24190803,0.23370989,0.22620921,0.2258627,0.24197984,0.27664068,0.32296458,0.36454543,0.39032516,0.3977312,0.39497292,0.3888484,0.38272348,0.37492773,0.36415267,0.35014677,0.33438706,0.31889597,0.3072205,0.30375764,0.31327415,0.3348055,0.36081126,0.3778046,0.37817517,0.36296126,0.342535,0.32561576,0.3168956,0.31472507,0.31526008,0.3128514,0.30377436,0.28817573,0.2730112,0.26847085,0.2832774,0.31565037,0.3532765,0.37761903,0.37830365,0.35781577,0.3306171,0.31017172,0.30286673,0.3050765,0.30965173,0.30988368,0.3034863,0.29232502,0.28212562,0.28115177,0.2945741,0.32036474,0.34571615,0.3574023,0.34873378,0.32612288,0.29989806,0.27890816,0.2656126,0.2594527,0.25791934,0.25796315,0.25676918,0.25517657,0.25818717,0.27312192,0.29979286,0.32907882,0.3444711,0.33773887,0.31109393,0.27685907,0.2449256,0.22160833,0.20911889,0.20800649,0.21561247,0.22603087,0.23398025,0.23891352,0.24630558,0.26411402,0.2949958,0.33288673,0.3629893,0.37319025,0.35992345,0.33177498,0.29981372,0.27188224,0.24856476,0.22799338,0.20940714,0.19511265,0.1881273,0.19119018,0.2062444,0.23460679,0.2719027,0.30728817,0.32589886,0.32116365,0.29714453,0.2666776,0.23939677,0.21961893,0.20595698,0.19647135,0.18928541,0.18301745,0.17736377,0.17400461,0.1785691,0.19545569,0.22393067,0.25298408,0.2701514,0.26832032,0.25214526,0.23084448,0.21288647,0.20147656,0.19644128,0.19528548,0.1950246,0.19350447,0.19235928,0.19779932,0.21998094,0.26403034,0.3248163,0.38366333,0.42217782,0.4309063,0.4166579,0.39231154,0.36996317,0.3538709,0.3428085,0.3331143,0.3224347,0.31109276,0.30176875,0.29797903,0.30235204,0.31238726,0.32144317,0.3208665,0.3094597,0.2925041,0.27925912,0.2737212,0.27526593,0.2801216,0.28542402,0.28923702,0.29080737,0.2901915,0.2893808,0.292284,0.30504373,0.32917038,0.3587452,0.37848714,0.37749565,0.3545761,0.32212448,0.29279092,0.27454853,0.26610664,0.26313826,0.26080468,0.25715965,0.25338736,0.25368917,0.26360807,0.28441468,0.31076956,0.33069417,0.33568916,0.32499316,0.3069124,0.2898821,0.2787677,0.27351654,0.27205935,0.27161825,0.26929927,0.2636813,0.2565039,0.25324535,0.2611601,0.28233793,0.3110108,0.33299932,0.3380406,0.3239421,0.30012235,0.27639434,0.25990668,0.2504116,0.24473411,0.23782344,0.22694008,0.21232365,0.19875453,0.19339482,0.20428537,0.23266858,0.27107003,0.30290884,0.31589648,0.30742863,0.2868204,0.2643934,0.24648534,0.23348397,0.2232937,0.21398778,0.20469926,0.19650505,0.19243492,0.19743718,0.21632491,0.24804334,0.28385392,0.30893192,0.31419823,0.29994655,0.27688536,0.2556764,0.24371628,0.24186598,0.2474631,0.25538722,0.2603459,0.260039,0.25674775,0.2577422,0.26746905,0.2832738,0.2931328,0.28738883,0.26477745,0.2357464,0.21241033,0.20338865,0.2094946,0.2264644,0.2468586,0.26433846,0.27637902,0.2860143,0.29955092,0.3230734,0.3561773,0.3909483,0.41426817,0.41833377,0.40393946,0.3800831,0.3546692,0.33250296,0.31452915,0.30158758,0.29344735,0.28861308,0.28427157,0.27972093,0.27826548,0.28671512,0.30690044,0.3324927,0.3481129,0.3437481,0.31850436,0.28365436,0.25038382,0.22690457,0.21440965,0.21003073,0.20826508,0.2046345,0.19921029,0.19699578,0.20561199,0.22997604,0.26642084,0.30161008,0.31751657,0.30444053,0.26689038,0.22262532,0.19064437,0.18289374,0.19922043,0.22970235,0.26072314,0.2817841,0.29119563,0.29455456,0.3017242,0.31762984,0.3399649,0.35674274,0.35719666,0.33634612,0.30157697,0.26479012,0.2380938,0.22631739,0.22726142,0.23275203,0.23340194,0.2238869,0.20744245,0.19510801,0.2007879,0.22898395,0.2725493,0.31203687,0.33319727,0.33001193,0.3112409,0.2872568,0.26873636,0.25942186,0.25918314,0.26256314,0.2626212,0.25384575,0.23744278,0.22246455,0.22387634,0.25030935,0.296047,0.33797896,0.35382125,0.33511987,0.29446033,0.25024208,0.2161542,0.19473737,0.18333949,0.17736654,0.17268473,0.16686024,0.16264407,0.16904812,0.19558425,0.24180986,0.29294118,0.32743573,0.33252382,0.3110408,0.27715704,0.24435878,0.22068785,0.2080639,0.20528173,0.20769876,0.20966208,0.20813018,0.20656987,0.21417338,0.2367829,0.270478,0.29829654,0.30416834,0.28153855,0.24120688,0.20039016,0.17594548,0.17480665,0.19442375,0.22293,0.24655621,0.25640252,0.2552075,0.25421944,0.2670405,0.2964301,0.3329401,0.35724998,0.3582497,0.33732936,0.3088981,0.28533256,0.27291533,0.27081743,0.27660432,0.28771177,0.301129,0.314209,0.325878,0.3377864,0.35283533,0.37071192,0.38726333,0.39482272,0.39044753,0.37656018,0.36142924,0.35041657,0.34372067,0.33644208,0.3242763,0.30755827,0.29000822,0.27669,0.27078894,0.2753977,0.29166272,0.31677744,0.341063,0.3521005,0.3424836,0.31485954,0.27967808,0.24778576,0.22489172,0.21085332,0.20202367,0.194736,0.18656677,0.17817193,0.17314707,0.17877609,0.20063652,0.23807406,0.27897123,0.30745173,0.3126404,0.2976415,0.27483064,0.25717315,0.2508329,0.25412753,0.26248178,0.27054998,0.27522323,0.27516618,0.27299082,0.27498388,0.285203,0.3014684,0.31196222,0.30757287,0.28555438,0.2546235,0.223756,0.20088421,0.18835038,0.1862759,0.19091265,0.1976987,0.20289725,0.2080289,0.21815936,0.24039526,0.27379182,0.30920425,0.32842997,0.32107225,0.2873859,0.24272537,0.20236494,0.17790352,0.1708721,0.17799579,0.19214135,0.20611455,0.21490915,0.21861364,0.22390847,0.23914926,0.26669607,0.2967566,0.31293988,0.30411616,0.27288377,0.23290418,0.19951779,0.18199436,0.18107176,0.18991588,0.19870476,0.19965631,0.19319929,0.1878597,0.19582504,0.22179264,0.25827244,0.28770944,0.29634485,0.2813269,0.2519778,0.22054042,0.19789691,0.18998426,0.19764662,0.21509747,0.23314703,0.24403985,0.24774824,0.25058377,0.2622452,0.28514388,0.31403783,0.33548293,0.34161553,0.33166048,0.3142228,0.29688546,0.28454056,0.27758262,0.27461123,0.27268204,0.267849,0.25711167,0.24199109,0.22991912,0.23217134,0.25454512,0.2919668,0.32699588,0.34191552,0.32725,0.2890443,0.24194907,0.20348041,0.1843646,0.18680649,0.20374404,0.22466318,0.24158339,0.25419423,0.2694906,0.29466864,0.3287585,0.3596535,0.37174892,0.3572586,0.32059216,0.27391294,0.22855842,0.19168113,0.16568767,0.14979275,0.14102884,0.13656004,0.13686538,0.14612477,0.17026265,0.20963466,0.2565521,0.29537666,0.31316075,0.30497885,0.27812797,0.24505019,0.21809077,0.20257586,0.19688432,0.19524814,0.19293445,0.18871848,0.18562348,0.18952669,0.20807111,0.24240254,0.2850392,0.31835148,0.3296871,0.31523183,0.28415373,0.24696332,0.2132789,0.18776006,0.17238213,0.16545832,0.16297568,0.16060537,0.15796554,0.16027102,0.1774475,0.21374516,0.26239744,0.30301616,0.31768373,0.29955038,0.25999027,0.21642213,0.18514627,0.17237097,0.17592615,0.18705678,0.1965344,0.19898902,0.19660985,0.19810437,0.21362919,0.24499352,0.28207177,0.30677393,0.30777082,0.2862176,0.25466862,0.22463788,0.20236522,0.18754481,0.17860307,0.1740104,0.17277424,0.1744365,0.17984217,0.19339557,0.21789718,0.2515887,0.2822523,0.29779872,0.29063487,0.26605538,0.23233639,0.19878204,0.16937913,0.14738809,0.13334514,0.12682523,0.12454569,0.12510176,0.13021661,0.14775564,0.18139492,0.22712237,0.2666924,0.2841015,0.27098438,0.23709822,0.19758411,0.16849215,0.15592916,0.15810108,0.1663723,0.17213786,0.1701063,0.16210712,0.15625052,0.16574626,0.19744217,0.24611151,0.29012728,0.3086484,0.29152274,0.24900757,0.19945137,0.16083533,0.1403333,0.13573462,0.13923346,0.14374736,0.14688842,0.15125094,0.162757,0.18709211,0.2235725,0.26301476,0.2887691,0.28951737,0.26437345,0.22719143,0.19535132,0.18459415,0.1990623,0.23228282,0.26841897,0.29206327,0.2957392,0.28380343,0.2700918,0.26730344,0.280455,0.29993287,0.3120344,0.304232,0.27686182,0.23780619,0.20203115,0.18172157,0.18293305,0.20051031,0.22237433,0.23667999,0.24020146,0.2391984,0.24588548,0.26704204,0.29976094,0.32906008,0.3418946,0.332842,0.30931446,0.28091702,0.25585535,0.23791929,0.22935379,0.22993942,0.23544753,0.23894419,0.23584801,0.2284944,0.22629845,0.23623277,0.25735453,0.27669346,0.2820005,0.26728377,0.2398386,0.21086715,0.19077308,0.18196489,0.18093656,0.18084238,0.17753951,0.17147128,0.1689564,0.17766969,0.20360379,0.24311952,0.28396252,0.30836645,0.3067536,0.2812709,0.24527419,0.21183406,0.18905747,0.1780101,0.17642973,0.1802734,0.18486278,0.18714209,0.18811734,0.19522077,0.21542788,0.24958396,0.28583157,0.30921146,0.3089353,0.2874291,0.25513688,0.22554779,0.20786582,0.20464443,0.21181713,0.22180404,0.22836387,0.23123853,0.23641242,0.2531471,0.2834423,0.31953058,0.34369847,0.34376237,0.31740478,0.2763845,0.23494072,0.20539261,0.19172883,0.19173522,0.19923878,0.20840837,0.21538477,0.2194074,0.2230088,0.23290433,0.25317478,0.28058875,0.3006433,0.29979396,0.27338457,0.23180647,0.19071911,0.16282679,0.1506622,0.14822592,0.14659894,0.13996531,0.12870966,0.11878219,0.11957425,0.13990659,0.17984079,0.22740488,0.26196694,0.2702413,0.25228992,0.22146742,0.19098413,0.17020766,0.16093463,0.16115606,0.16505796,0.16719882,0.16560656,0.16420992,0.17221652,0.1963325,0.23507933,0.27346587,0.29429665,0.28703982,0.25761667,0.22051905,0.19132578,0.17694692,0.1751048,0.17662932,0.17239265,0.15968989,0.14721966,0.15419199,0.20226027,0.29882428,0.42551088,0.54273915,0.6146166,0.6300661,0.6047998,0.56361866,0.5247471,0.49605337,0.47903097,0.4720223,0.47120288,0.47133613,0.46686456,0.45133808,0.4186772,0.36670086,0.30154565,0.23684235,0.18549262,0.1526085,0.13492481,0.1290089,0.13521701,0.15537716,0.18579334,0.2173729,0.24072969,0.25220895,0.25330698,0.24838246,0.24212748,0.2402006,0.24664629,0.26152727,0.27777913,0.2854917,0.27743992,0.25653484,0.23386936,0.22313072,0.2301348,0.2511268,0.275445,0.29590437,0.3137966,0.3419067,0.39325032,0.47106996,0.5570988,0.62394595,0.64947575,0.63490134,0.59711576,0.5571568,0.5255695,0.5039121,0.4882289,0.47434783,0.45710135,0.432703,0.40031266,0.36545813,0.33660945,0.32042918,0.31525937,0.31139323,0.29631338,0.26409286,0.2206434,0.18077987,0.15785031,0.15484066,0.16403209,0.17450161,0.17979349,0.18050705,0.18233995,0.19194764,0.21252032,0.24083258,0.2692082,0.29103395,0.3053652,0.31535897,0.32322934,0.3269214,0.32146227,0.30331907,0.27298328,0.23549217,0.19837958,0.16995943,0.15728684,0.16353624,0.18540297,0.2134058,0.23634075,0.24716419,0.24472797,0.2322433,0.21483004,0.1983812,0.18762086,0.18223108,0.17663682,0.16416657,0.14463381,0.12624188,0.120650254,0.13407119,0.16233599,0.19368875,0.21680284,0.22707397,0.22701322,0.22225825,0.21795529,0.21734993,0.2209484,0.2262647,0.22886992,0.22628629,0.22262259,0.23034,0.2664391,0.33972487,0.43952242,0.5339851,0.58871585,0.58803815,0.544185,0.48556688,0.43705305,0.4099233,0.40027532,0.39919174,0.39688835,0.38971487,0.37644267,0.35956946,0.34165153,0.3266325,0.3168415,0.31139266,0.30593118,0.2947797,0.27639094,0.25378415,0.23397595,0.22119755,0.21611202,0.2148519,0.2137407,0.20876129,0.19841677,0.18450333,0.17510317,0.17933589,0.20016457,0.22951834,0.25417924,0.26498973,0.26176715,0.24995816,0.23537783,0.2212937,0.20888077,0.19784991,0.18709038,0.17537665,0.16289447,0.15231335,0.14820193,0.15408663,0.16941424,0.18894267,0.20639956,0.21835774,0.2252735,0.22872408,0.22917461,0.22654293,0.22166383,0.21652897,0.21324414,0.21604007,0.23371708,0.27961707,0.36042476,0.46574846,0.5649992,0.62575483,0.63290566,0.5975197,0.544296,0.49478284,0.4595361,0.4389596,0.42886713,0.42160225,0.40951905,0.3871821,0.3546556,0.3170067,0.28134993,0.25320074,0.23403399,0.2224654,0.21599303,0.21282095,0.21132214,0.21086977,0.21153718,0.21471715,0.22028054,0.22666223,0.23062424,0.23044772,0.22632311,0.2200144,0.21350275,0.20753074,0.20224033,0.19564025,0.18626691,0.17407389,0.16480725,0.16605662,0.18322557,0.2133257,0.24774186,0.27673066,0.29476312,0.3014091,0.29965624,0.29347816,0.2856376,0.27722448,0.26747167,0.25369388,0.2329206,0.20464818,0.17428182,0.15092885,0.14240463,0.14910115,0.1643266,0.1788692,0.18730366,0.19003813,0.19111814,0.19416434,0.20045088,0.209477,0.22041436,0.23231697,0.2437057,0.25288975,0.25887215,0.26221934,0.26432058,0.26659384,0.26976526,0.27408376,0.2799181,0.28746995,0.29680574,0.30678937,0.3163551,0.32437965,0.3308537,0.33531618,0.33762884,0.33726445,0.33449772,0.32960084,0.32391486,0.31926978,0.31720483,0.31664002,0.31425193,0.30707845,0.29567432,0.2835252,0.2741381,0.26794854,0.26281893,0.25560018,0.24489528,0.23111123,0.2167867,0.20438196,0.1961338,0.19287698,0.19505145,0.2015034,0.20942307,0.21443035,0.21403599,0.20976907,0.20672095,0.20856632,0.21488316,0.22147684,0.22479509,0.22335975,0.21799159,0.20967156,0.19957481,0.1888311,0.17911203,0.17229249,0.16973345,0.17122753,0.17482395,0.178047,0.17972921,0.18028043,0.18087833,0.18211657,0.18406183,0.1867202,0.19016731,0.19423012,0.19808666,0.20081057,0.20196025,0.20173305,0.20060112,0.19854902,0.19540083,0.19120115,0.18708467,0.18463202,0.18470405,0.1866641,0.18916799,0.19218321,0.19680344,0.2039302,0.21227838,0.219586,0.22461577,0.22727726,0.22777794,0.22456652,0.21733546,0.20716329,0.19838984,0.19417149,0.19596153,0.20137621,0.20687349,0.20894653,0.20648752,0.20113043,0.1961083,0.1941495,0.1955024,0.19828111,0.2001332,0.19997008,0.19861494,0.19738556,0.1971116,0.19721238,0.19728243,0.19799127,0.2014389,0.20880131,0.21889405,0.22797973,0.23267658,0.23124397,0.22431976,0.21305948,0.19969177,0.18740387,0.18057768,0.18250231,0.19315308,0.2087301,0.22314775,0.23180598,0.23338659,0.23057406,0.22700141,0.22517075,0.22457628,0.2230906,0.2185366,0.21065183,0.20104504,0.19241305,0.18692805,0.18580113,0.1887091,0.19424015,0.19979455,0.20331454,0.20390697,0.20202874,0.19727413,0.1886359,0.17625777,0.16436367,0.15924875,0.16509664,0.18042378,0.2000329,0.21919711,0.23569882,0.24890883,0.257543,0.2606673,0.2587024,0.25456312,0.25162855,0.2525603,0.2578834,0.2660873,0.2733214,0.27497205,0.26819846,0.2549381,0.24133307,0.23379827,0.2341469,0.23830594,0.23989286,0.23484348,0.22502612,0.21603334,0.21438085,0.22188161,0.236705,0.25381735,0.26967123,0.2810017,0.28582796,0.28276515,0.2735001,0.26192448,0.25176427,0.24351,0.23502298,0.22465539,0.21399514,0.20723744,0.20737588,0.21290462,0.21781735,0.21646744,0.20819934,0.19825755,0.19340765,0.19651018,0.20470782,0.21115752,0.2108619,0.20369291,0.19547166,0.19211902,0.19562751,0.20202984,0.20602608,0.20483595,0.1996874,0.19458412,0.1949281,0.20745565,0.23525524,0.27454457,0.31141677,0.33131766,0.3246998,0.29605487,0.2608162,0.24521233,0.2698238,0.33550617,0.41169938,0.4573051,0.44717416,0.39248338,0.32571185,0.28066123,0.27079538,0.2906791,0.31739017,0.32912144,0.3122745,0.2720823,0.22096048,0.17304105,0.13439348,0.10624983,0.0859893,0.07106707,0.060512308,0.059105188,0.079691716,0.14107788,0.25036013,0.39030817,0.5163081,0.5880749,0.5910549,0.5480517,0.4915506,0.44582486,0.41372192,0.3887588,0.36475444,0.3441966,0.3341756,0.33788547,0.34802243,0.35130295,0.33936802,0.3179315,0.30117893,0.30048034,0.31340146,0.3301525,0.34644568,0.3721163,0.41988572,0.48545596,0.543158,0.5635393,0.5406379,0.49563548,0.46053806,0.45147577,0.4618406,0.4696879,0.45805869,0.42470065,0.38250017,0.34667394,0.32572448,0.31792662,0.3161713,0.31316915,0.30470052,0.28944066,0.26781246,0.24170987,0.21620442,0.1983185,0.1930923,0.19771583,0.20365722,0.20211673,0.19216307,0.17961909,0.17532004,0.18802775,0.2225756,0.27504373,0.33460304,0.38556483,0.41409326,0.41357872,0.38728598,0.34783563,0.30932674,0.2818211,0.26504508,0.2531273,0.23991401,0.22839455,0.22982395,0.254088,0.2972274,0.339514,0.3609538,0.3552206,0.33415258,0.31808698,0.32562196,0.36494246,0.4265897,0.4876863,0.5250927,0.533271,0.52398443,0.5140743,0.5112674,0.5133303,0.5141833,0.50998026,0.5004368,0.4883333,0.4780204,0.47419485,0.4785082,0.48890233,0.4986817,0.5029237,0.49953592,0.49238956,0.48427165,0.47678402,0.46705937,0.4527723,0.4324423,0.4082701,0.38359332,0.36118713,0.34068152,0.3204042,0.30072197,0.28613472,0.2824073,0.29115495,0.30766615,0.32361975,0.33258304,0.33241725,0.3245963,0.31168938,0.2961367,0.2806533,0.26870748,0.26600453,0.280629,0.32306373,0.39732018,0.4910237,0.57193583,0.6065633,0.5840123,0.5239757,0.4589776,0.4103776,0.38165393,0.36539266,0.35465613,0.34460402,0.3346134,0.32577455,0.32131055,0.3205063,0.32006133,0.3149625,0.30572194,0.2963767,0.29286438,0.29852667,0.31727096,0.3531572,0.40523073,0.45958957,0.49328312,0.4907969,0.4589937,0.42281148,0.40755454,0.41979244,0.44676352,0.46539423,0.46160743,0.43574843,0.40232792,0.37604332,0.3690623,0.3855878,0.4239149,0.4703401,0.5065171,0.5159624,0.4968584,0.4597355,0.42720282,0.41894433,0.4437116,0.48361683,0.5089027,0.4940929,0.44296214,0.37833634,0.32666907,0.29811537,0.2891271,0.28958344,0.2907785,0.28622225,0.27484968,0.26481438,0.27614886,0.32604876,0.41260147,0.5052688,0.56709975,0.5787943,0.5512805,0.5091484,0.4716641,0.44571748,0.42956033,0.42088374,0.41537538,0.41097632,0.40750206,0.41298613,0.4357973,0.4769214,0.5213168,0.54735297,0.54269356,0.5133774,0.47749504,0.44996083,0.43641293,0.43403617,0.4370159,0.43800473,0.42953494,0.4091543,0.38114223,0.35747376,0.3463556,0.34926024,0.35651055,0.35972723,0.35516867,0.3495152,0.3522313,0.3731896,0.41436616,0.46694794,0.50903505,0.5190287,0.48937216,0.43603408,0.38529658,0.35908583,0.36093,0.38118744,0.40242025,0.41279578,0.40764084,0.39348257,0.38040268,0.38060728,0.39723453,0.42353335,0.44059893,0.43460152,0.40246797,0.3594457,0.32608125,0.32643926,0.37112167,0.4527901,0.53766423,0.59093446,0.5943778,0.5615733,0.5146777,0.4713639,0.43299863,0.39933673,0.37095535,0.35380343,0.34961405,0.35697615,0.3695447,0.38273355,0.39257005,0.39850345,0.40091965,0.40307423,0.40826786,0.4191904,0.43863174,0.46880332,0.5099869,0.55141586,0.576272,0.56839347,0.5301569,0.47829735,0.43689582,0.4176717,0.41798043,0.42164692,0.41388848,0.38903666,0.35466185,0.32311934,0.30348077,0.2972292,0.30219904,0.31588957,0.33681884,0.35998365,0.3764505,0.37518546,0.3521237,0.31467202,0.27983698,0.26256093,0.2653495,0.27724144,0.28312087,0.27465245,0.25486955,0.23430716,0.22410728,0.22888267,0.24552004,0.26493934,0.27806628,0.27872735,0.26675907,0.24693693,0.22837782,0.21873064,0.2207281,0.22924997,0.23829758,0.24766178,0.26854026,0.3112332,0.37422612,0.4355594,0.47165048,0.47040161,0.4429698,0.41076055,0.39739707,0.41450632,0.45664287,0.49961576,0.51628566,0.4939222,0.4422451,0.38119683,0.32832357,0.29246846,0.27712896,0.28025815,0.29391876,0.307275,0.31364927,0.3160207,0.32171354,0.33536115,0.35144877,0.36108613,0.3575331,0.34410825,0.33034834,0.33130398,0.3588852,0.41548935,0.48438206,0.5381662,0.55329293,0.52878374,0.48310986,0.44648528,0.43969035,0.46709839,0.50557333,0.52376586,0.4963561,0.4288925,0.3452656,0.27728185,0.24191867,0.24276674,0.26805475,0.30087137,0.323617,0.33019176,0.32893804,0.34307662,0.39292064,0.48058358,0.57834935,0.64648646,0.6569295,0.6124845,0.5400067,0.47073737,0.4245468,0.40312985,0.39735517,0.39427364,0.38704312,0.37710297,0.37289175,0.38342705,0.4093744,0.43979073,0.45671487,0.44973552,0.42347705,0.3941752,0.37540588,0.37056318,0.3737248,0.37849602,0.3825687,0.3878031,0.3956116,0.40569708,0.42040226,0.44655636,0.49054742,0.5452585,0.5917833,0.6108349,0.60079664,0.5720398,0.5379324,0.50173646,0.4664437,0.4349598,0.41432962,0.40331402,0.39734316,0.39048144,0.38864592,0.4023018,0.43789005,0.48233333,0.5134271,0.51330644,0.4848193,0.44111788,0.39686513,0.35845026,0.33094442,0.31733683,0.3186058,0.32811537,0.33857858,0.34784994,0.36764243,0.40993884,0.4756249,0.540068,0.57378316,0.55890876,0.5071781,0.44253698,0.38986132,0.36114612,0.35977638,0.3795,0.40768006,0.42970905,0.4370041,0.434405,0.43732703,0.46085894,0.50359076,0.544494,0.55660534,0.5282315,0.47129452,0.4112338,0.3704586,0.3585757,0.37262082,0.4016434,0.43142703,0.45033798,0.45268273,0.44312248,0.4320099,0.4315007,0.44508612,0.46743885,0.48570466,0.48898554,0.4759103,0.45883211,0.45781925,0.4835349,0.5243829,0.5514658,0.54077584,0.49254048,0.4286847,0.37842718,0.35821465,0.3687404,0.39292404,0.41302833,0.41466126,0.40007845,0.3782632,0.36850762,0.3834189,0.42587414,0.47495952,0.50468165,0.49628356,0.45923063,0.4167645,0.40006277,0.4243908,0.4897364,0.56990045,0.63365144,0.655603,0.63572735,0.5890977,0.53636485,0.49024454,0.45412374,0.4247892,0.39696383,0.36898425,0.34293428,0.3231144,0.31107178,0.30474186,0.29936257,0.28947678,0.27102992,0.24276148,0.20949847,0.18073463,0.16795145,0.17656541,0.20337333,0.23632789,0.26248524,0.2730439,0.26755413,0.25117555,0.23325633,0.22208554,0.22222652,0.2299215,0.23708715,0.23546624,0.223814,0.20702565,0.19419146,0.19258009,0.20397864,0.22344291,0.24253595,0.25436607,0.25561282,0.2463181,0.2290306,0.20927536,0.19410098,0.18790607,0.18911844,0.19116056,0.18773763,0.17824763,0.16846566,0.1673611,0.1797434,0.20345704,0.22904037,0.2465396,0.2496143,0.24059647,0.2271442,0.2193169,0.22076066,0.22915573,0.23654342,0.23729044,0.22902416,0.21449566,0.1987992,0.18796201,0.18570292,0.19131945,0.19990945,0.20618679,0.20836107,0.21064574,0.21912746,0.2374794,0.26098517,0.2799414,0.28359184,0.26872435,0.23975469,0.20856206,0.18682188,0.18268119,0.19549014,0.21873605,0.24152672,0.2549641,0.25459257,0.24443437,0.2340765,0.23348545,0.24511522,0.26293853,0.27602324,0.27554643,0.25943267,0.23387422,0.210896,0.20096408,0.2070805,0.22249724,0.2362961,0.23904185,0.22796313,0.20751162,0.18775032,0.17827727,0.18242733,0.1946699,0.20494841,0.20534606,0.19528703,0.18062024,0.16928913,0.16574822,0.1695221,0.17681265,0.18373902,0.18781883,0.18787639,0.18357097,0.17509739,0.1632877,0.14969625,0.13606699,0.12339357,0.110950254,0.097225815,0.081586145,0.065585606,0.051789995,0.04195713,0.035838302,0.03199802,0.029075295,0.026528744,0.024371373,0.02259588,0.020960048,0.019083159,0.016828103,0.0143631315,0.012110591,0.010359772,0.009151564,0.0082678525,0.0074869823,0.0066987523,0.005924899,0.0052318214,0.0046635508,0.0042147054,0.0038291358,0.0034361063,0.003001551,0.002558559,0.0021739162,0.0018937062,0.0017036851,0.001565056,0.0014424723,0.0013349984,0.0012428276,0.0011612057,0.00106953,0.00095621916,0.00082056824,0.0006733076,0.0005265894,0.00039348914,0.00028688955,0.000216774,0.0001883068]