[0.0372284,0.0451058,0.05998066,0.073417455,0.07906108,0.07632753,0.06927199,0.0627807,0.05911833,0.057357322,0.05589384,0.05437419,0.054685816,0.05809916,0.06410807,0.06932124,0.07040805,0.065983884,0.05793247,0.049520176,0.0428444,0.03766307,0.032496445,0.026637979,0.021162786,0.018018834,0.018984087,0.023996951,0.031863023,0.040459197,0.04924574,0.057548463,0.06496533,0.06890804,0.06834271,0.063236184,0.056002628,0.04806837,0.040731598,0.03544217,0.034214694,0.038144108,0.04548189,0.053266,0.058462065,0.059785664,0.056880906,0.050897542,0.04475187,0.041962743,0.044298593,0.04979782,0.05462035,0.05601054,0.053888697,0.050011743,0.045333896,0.04001284,0.033785798,0.028487928,0.02713359,0.03251308,0.04457101,0.060471337,0.07609373,0.08747163,0.09188741,0.08813425,0.07797328,0.06599524,0.05809542,0.0574197,0.062394172,0.06790282,0.069621556,0.0666781,0.06146388,0.056817308,0.054323167,0.05374521,0.054542977,0.05565611,0.055944715,0.05308782,0.045864865,0.035097845,0.02493368,0.02037598,0.024640242,0.03693445,0.0526254,0.065771826,0.072213195,0.07114605,0.06501726,0.0569715,0.050518576,0.0473755,0.048313107,0.051289644,0.053737387,0.05361216,0.05173144,0.05043836,0.051198754,0.05296837,0.053426594,0.05198389,0.05066071,0.05187456,0.05493393,0.056715086,0.055062506,0.052703183,0.054135304,0.06143086,0.071301185,0.078918315,0.08192828,0.08064266,0.0770613,0.072125345,0.067900725,0.064786114,0.063035235,0.060644757,0.057250764,0.05307394,0.049376175,0.045754444,0.041187856,0.03541396,0.030799389,0.030897036,0.037225973,0.047010675,0.055357497,0.05931985,0.06050403,0.062421445,0.06705003,0.07215869,0.07330493,0.066688344,0.05256473,0.03511886,0.020035055,0.010927298,0.008047521,0.0093396455,0.012408454,0.015561107,0.018376477,0.021096481,0.02498053,0.031574875,0.043644097,0.062518135,0.08621832,0.10821158,0.122553356,0.13040169,0.13925214,0.15652652,0.17932655,0.19814079,0.20232075,0.19117992,0.17077126,0.15219088,0.14241385,0.14340626,0.15015352,0.15666217,0.16071475,0.1649168,0.17298657,0.18334346,0.19127981,0.19199604,0.18648066,0.1790015,0.17386551,0.17091416,0.1662069,0.15532847,0.13749231,0.11571588,0.09461341,0.077204086,0.06532239,0.059551552,0.05892825,0.05974096,0.058112,0.054889787,0.05683994,0.07066927,0.093834095,0.11337005,0.11534405,0.09681099,0.06753469,0.041128103,0.024830757,0.017852403,0.01571999,0.015540664,0.01684202,0.020729,0.027260909,0.035095256,0.041475873,0.04511066,0.046277124,0.04649857,0.046104852,0.044544037,0.041462842,0.039335135,0.043804955,0.0631037,0.10016481,0.15014397,0.19674528,0.22692734,0.23387362,0.22609389,0.21274833,0.20280556,0.19488563,0.18614335,0.17193447,0.15413727,0.13684301,0.1270929,0.1272319,0.13705121,0.15092646,0.16296537,0.1656369,0.15606977,0.1384819,0.1265348,0.13091952,0.14868999,0.16029382,0.14885348,0.11367368,0.07177162,0.039758842,0.023622686,0.018849464,0.01958047,0.023197144,0.029050946,0.03646538,0.04448193,0.054592114,0.06880686,0.08725212,0.10618329,0.124827184,0.14828473,0.18204844,0.21995533,0.24307884,0.2349362,0.19648743,0.1479776,0.11519911,0.11504694,0.14867468,0.2011298,0.2503355,0.27616635,0.27194408,0.24434406,0.20808285,0.17662345,0.15706702,0.15141815,0.1576054,0.17306708,0.19430594,0.21841286,0.24069941,0.25607577,0.26025105,0.25375852,0.23878448,0.2167577,0.18734938,0.15526904,0.13306867,0.13253479,0.15166521,0.17046277,0.16697861,0.1353785,0.089893065,0.050464913,0.027090542,0.01805714,0.016812334,0.019419072,0.023820696,0.028426021,0.031243993,0.032995466,0.03827569,0.05420957,0.085995235,0.1314031,0.1788644,0.21170354,0.2195257,0.20783544,0.19361293,0.19150464,0.20023043,0.20840795,0.20511468,0.18892008,0.16268016,0.13039096,0.09633822,0.06859029,0.05572373,0.06345231,0.08850306,0.12237083,0.1514672,0.16742219,0.1657512,0.15090488,0.12758079,0.10182736,0.076475255,0.054499004,0.03785106,0.02885107,0.03031037,0.044545826,0.07018828,0.09925175,0.11955523,0.12235435,0.108722456,0.08981785,0.08075943,0.092384584,0.12537059,0.16851002,0.20640607,0.22802627,0.23323411,0.22724567,0.21391636,0.19473673,0.17330039,0.16192578,0.17161043,0.20518859,0.24963516,0.28920987,0.313674,0.32137108,0.31496564,0.2965103,0.2718881,0.24721988,0.2304769,0.22294159,0.22082864,0.21499453,0.20024383,0.1784255,0.15781297,0.1449178,0.14166327,0.14522295,0.15390025,0.16492361,0.17651622,0.18475455,0.18917184,0.18866718,0.18139917,0.16285658,0.13262923,0.09719082,0.06679322,0.04812977,0.041450176,0.042408835,0.04627283,0.04877028,0.050160658,0.055002123,0.073716365,0.11061778,0.1612318,0.20930628,0.24381553,0.26095116,0.26350093,0.24890304,0.21288984,0.15896527,0.10113696,0.056405336,0.031410087,0.022616858,0.021950727,0.027196601,0.04307708,0.07746088,0.12793073,0.18096487,0.21563713,0.22506332,0.21425825,0.19828027,0.18279107,0.16918921,0.15463853,0.14197429,0.13607156,0.1428444,0.16244237,0.18738465,0.2045088,0.20395462,0.1849571,0.15546787,0.12440274,0.09707841,0.0747874,0.05871819,0.050520685,0.052165728,0.06504116,0.09179237,0.13234134,0.18031116,0.22027542,0.24042152,0.24206455,0.2417913,0.25160345,0.26762927,0.27148962,0.25353464,0.21916772,0.18528573,0.16077746,0.14731336,0.14084984,0.13946646,0.1387937,0.13267203,0.116191,0.09102485,0.06498822,0.045908723,0.036700625,0.035868876,0.042777643,0.06078236,0.09413702,0.13980715,0.18598379,0.21740721,0.2284594,0.22247964,0.2070659,0.18272956,0.14879005,0.1079042,0.071020216,0.048159495,0.043493956,0.05375881,0.074704766,0.10388863,0.1393614,0.17639898,0.20571376,0.21920335,0.21323581,0.1926883,0.16543572,0.13836506,0.11348143,0.08930904,0.06569833,0.044386733,0.029164651,0.021838421,0.023878315,0.036864653,0.062370133,0.09909272,0.14159714,0.1813422,0.2092915,0.21891709,0.21041591,0.19205202,0.17496379,0.166324,0.16374297,0.160998,0.15293057,0.14070718,0.12769477,0.11507803,0.10084318,0.082580924,0.06216958,0.043605458,0.030529464,0.023060128,0.019547196,0.01827911,0.018690122,0.021269038,0.02767927,0.041138563,0.06533683,0.09895829,0.13282011,0.15194301,0.14927296,0.1323135,0.121133514,0.13193524,0.16698764,0.21411301,0.2560819,0.28097752,0.2853062,0.27428693,0.2550751,0.23489076,0.21696176,0.20396413,0.19608812,0.19274043,0.18923175,0.1816979,0.1678931,0.1521631,0.14032142,0.14020267,0.1541972,0.18098544,0.2117999,0.23852737,0.2546952,0.25872532,0.25056207,0.23345077,0.21615951,0.2096778,0.21965563,0.23801978,0.24843167,0.23631845,0.20196341,0.15962501,0.13147445,0.13096403,0.15520142,0.18433748,0.19905686,0.19284952,0.1765116,0.16258657,0.15783995,0.15776587,0.15947531,0.16090946,0.16561861,0.1738172,0.1854372,0.19748373,0.20571898,0.20526417,0.19172823,0.16782756,0.14112532,0.12407643,0.1245111,0.14222051,0.16652985,0.1808155,0.17448997,0.14679994,0.109428756,0.073511645,0.047232345,0.030779384,0.022539662,0.019487264,0.020935213,0.027515993,0.041874725,0.06405008,0.0903852,0.11103823,0.11745015,0.10634217,0.08607995,0.07071238,0.07382735,0.09729942,0.1305574,0.15623413,0.16421354,0.15779638,0.14894985,0.14663357,0.15012573,0.15362555,0.15191527,0.1456446,0.13783999,0.13310824,0.13262717,0.13516304,0.1362198,0.13252752,0.12290251,0.10935835,0.09490817,0.08345816,0.07763479,0.07883885,0.08453944,0.09209456,0.09954583,0.110163726,0.12738042,0.1514583,0.17413622,0.18341541,0.17335933,0.1524183,0.14214309,0.15802473,0.19572955,0.22729127,0.2280103,0.19453834,0.15050898,0.12134116,0.11627378,0.12463019,0.1299906,0.12435725,0.11099702,0.09957957,0.0965603,0.101136036,0.10803476,0.11368442,0.1205773,0.13390034,0.15524137,0.17833789,0.19170636,0.18730794,0.16648667,0.13877417,0.11553221,0.10179653,0.09758041,0.097376,0.09813779,0.09597083,0.09092461,0.083004065,0.077383995,0.079362445,0.09244891,0.1121544,0.12959577,0.13560069,0.1271747,0.10619343,0.07924578,0.052886397,0.033145834,0.022094192,0.020860767,0.030451415,0.05278294,0.083825916,0.11270118,0.12438247,0.11352209,0.085919924,0.056325737,0.034385175,0.023121238,0.018786713,0.017957395,0.018433094,0.020035276,0.024207978,0.034038305,0.054162253,0.08594593,0.12603863,0.16454576,0.19302988,0.20488308,0.19906662,0.1749297,0.13744368,0.09486642,0.058666766,0.034886796,0.023387002,0.019227639,0.018074391,0.017594295,0.018210357,0.023073236,0.03808589,0.06694247,0.106452785,0.14593549,0.17784949,0.20380253,0.23135523,0.25931618,0.2764261,0.27107176,0.24485086,0.20922953,0.17507286,0.14593466,0.120506115,0.09754611,0.076169685,0.056701083,0.039889794,0.027619654,0.02041758,0.017373852,0.016452521,0.016298696,0.016279168,0.016302017,0.016324736,0.016411303,0.017495355,0.022575995,0.037608314,0.06713054,0.10820919,0.14577787,0.16154312,0.14616428,0.1088011,0.068596475,0.04365,0.0413159,0.06196292,0.100435875,0.14952539,0.19714965,0.23129618,0.24236818,0.23056072,0.20402412,0.17764013,0.16297917,0.16554378,0.17967631,0.19478042,0.19850123,0.18665339,0.16425397,0.14152308,0.12625536,0.12075668,0.12970255,0.15719618,0.20059097,0.23927379,0.24837007,0.21679209,0.15834801,0.0981325,0.05431919,0.030373996,0.020301221,0.017144829,0.01645238,0.016363814,0.01628545,0.016192207,0.016209701,0.01641225,0.01687762,0.017717047,0.019230248,0.023180306,0.03359707,0.057323616,0.0967805,0.1456396,0.18530722,0.1987849,0.17938323,0.13799326,0.09158638,0.055531602,0.036985744,0.039118126,0.061542273,0.10077237,0.14498185,0.1785583,0.18638492,0.16610639,0.12611508,0.08303755,0.048893094,0.028849944,0.020197337,0.020388255,0.029693281,0.051771432,0.08415846,0.11640117,0.13164023,0.12387484,0.102265626,0.09178328,0.114044674,0.17540435,0.25650463,0.32233247,0.34137335,0.3075221,0.24366347,0.18645121,0.16299246,0.17629243,0.20715593,0.22772081,0.22121231,0.18979485,0.15253715,0.1280415,0.1252357,0.13748564,0.15187049,0.15674917,0.15277325,0.15000051,0.1597154,0.1802352,0.19924301,0.20268804,0.18918012,0.1668359,0.14779676,0.13819228,0.13948447,0.14976725,0.16490377,0.17892015,0.1840844,0.1787027,0.16707493,0.1560481,0.14552684,0.12848327,0.10135607,0.068418555,0.040888112,0.024265332,0.01809027,0.016858509,0.01728034,0.017873466,0.018644929,0.019333558,0.019903375,0.02089871,0.023763964,0.029806346,0.039929777,0.053691715,0.0712561,0.09292886,0.122860156,0.16505323,0.22081201,0.27787158,0.31511295,0.3122076,0.26769263,0.19845434,0.12909986,0.07606523,0.043479312,0.02698267,0.020104127,0.017887793,0.017647758,0.018688194,0.021465162,0.027131557,0.03773258,0.055612966,0.081761025,0.112461366,0.13861865,0.1492422,0.13844103,0.11004951,0.07534134,0.046029616,0.027746039,0.019496555,0.017016575,0.017097712,0.01900318,0.024064198,0.034251466,0.051747635,0.078833856,0.114593305,0.15293542,0.18196522,0.19386293,0.18883999,0.17531233,0.15861727,0.14085294,0.12451411,0.119987756,0.13572812,0.16979195,0.20499738,0.22710901,0.23412104,0.23817736,0.24778958,0.2614206,0.27140042,0.27307793,0.27083018,0.2699487,0.27695516,0.28939882,0.3024058,0.3049405,0.29290393,0.26730883,0.2374282,0.21152288,0.19619276,0.1921729,0.19564338,0.19867457,0.19494356,0.183659,0.16901074,0.15527232,0.14425121,0.13685817,0.13767505,0.15149534,0.1795841,0.21310079,0.24020962,0.25080058,0.24282186,0.21923007,0.18877077,0.16554856,0.16412123,0.18848006,0.22536826,0.25366923,0.26176026,0.25570711,0.24832068,0.24458937,0.23949832,0.23086436,0.22554125,0.23264451,0.250685,0.26710388,0.26960313,0.25587267,0.23295878,0.2076085,0.18307503,0.16181058,0.15224154,0.16104357,0.18545991,0.2079141,0.21236558,0.19450921,0.1665598,0.14458714,0.14259084,0.16512656,0.20467138,0.23882668,0.24300568,0.20747203,0.14674188,0.08661046,0.045596633,0.02570352,0.019129006,0.018280333,0.02036816,0.025798148,0.035137556,0.047862377,0.06276669,0.07695847,0.08654723,0.08658919,0.07724895,0.06363433,0.055855203,0.059612077,0.07430356,0.09159342,0.10345567,0.10533563,0.10036897,0.09518123,0.098968744,0.114400744,0.13646542,0.15060647,0.14806618,0.13322459,0.12421822,0.13397764,0.15878819,0.18016344,0.18260336,0.16644962,0.14812247,0.14617349,0.1671681,0.20033331,0.22810657,0.23928688,0.23564804,0.22300327,0.20556755,0.18403356,0.16465653,0.1556585,0.16269125,0.17929591,0.19333248,0.19468512,0.18311183,0.16471517,0.14673708,0.13335182,0.12733161,0.12970626,0.14265537,0.1640185,0.19025485,0.2100867,0.2155144,0.20110638,0.17386854,0.14281619,0.116737194,0.09678022,0.081295885,0.069554545,0.06392554,0.06982215,0.09013175,0.12538254,0.1712073,0.2232855,0.273517,0.31151664,0.32510385,0.31003413,0.27289632,0.2269306,0.18371983,0.14809802,0.12146913,0.10274574,0.09182823,0.087314576,0.08727189,0.087295674,0.08251885,0.07060421,0.05375169,0.03735319,0.025617605,0.019448658,0.017274244,0.01752562,0.020033646,0.025036931,0.03207843,0.039030656,0.043705586,0.04528843,0.045931976,0.048282027,0.0543046,0.06397915,0.07956397,0.10296136,0.13292688,0.15783136,0.1637889,0.14430194,0.11091409,0.08542537,0.086307935,0.11477601,0.15437633,0.18234007,0.18512519,0.1668979,0.14382598,0.13052122,0.12883946,0.12919529,0.119801186,0.09770585,0.06904607,0.043983217,0.027762076,0.02020845,0.017526887,0.016816879,0.016524652,0.016329663,0.016201684,0.016151348,0.016172638,0.016221724,0.016335055,0.016515924,0.016705355,0.0175575,0.020860245,0.02970615,0.044441003,0.062045466,0.07679758,0.088855,0.10280881,0.12263119,0.14106144,0.14509962,0.12704055,0.09357553,0.059275527,0.035277065,0.023478245,0.020666994,0.024130082,0.0348502,0.053681776,0.08195629,0.11861477,0.16626495,0.22293796,0.28301516,0.32915422,0.3471959,0.3308935,0.290649,0.2414546,0.1954592,0.1567763,0.12719505,0.11217005,0.11915586,0.14906687,0.18894131,0.21627797,0.21401821,0.18105118,0.13197546,0.084500335,0.051347923,0.037027244,0.043218937,0.06908237,0.11171204,0.16081437,0.2032748,0.22634171,0.22754522,0.2114378,0.18732178,0.16081434,0.1359825,0.11635053,0.10768833,0.11261677,0.12761489,0.1424257,0.14855087,0.14349861,0.13109581,0.115147114,0.09719118,0.07853007,0.062151905,0.054682586,0.061507285,0.08712369,0.12782837,0.17699152,0.22105907,0.2516292,0.26170972,0.25646922,0.24543993,0.24556291,0.26754776,0.31218472,0.3640816,0.3983574,0.39262536,0.33970937,0.25394997,0.16178657,0.08768263,0.041210555,0.018376322,0.009028424,0.005167967,0.0029897967,0.0015266362,0.00070041773,0.0004392007,0.0006667701,0.0013007651,0.0022713535,0.0043646027,0.0094026085,0.020297214,0.03652836,0.05332758,0.062945224,0.06589263,0.07348796,0.10231087,0.15494086,0.21470606,0.25447455,0.26041225,0.23809834,0.2070465,0.18238121,0.17112418,0.17080985,0.17472202,0.17308457,0.15880103,0.13274445,0.10398088,0.084988624,0.08344329,0.10104728,0.13172233,0.16592611,0.1911857,0.19996403,0.19322859,0.18141215,0.17752242,0.1865229,0.20204382,0.20797122,0.19220762,0.15378688,0.10610631,0.06523203,0.04187421,0.035057843,0.03840738,0.04483832,0.054020714,0.068053745,0.08817601,0.107017905,0.11498653,0.10619625,0.08629333,0.06693695,0.05742876,0.059031684,0.06684793,0.07663524,0.08536604,0.09212639,0.0974479,0.10831376,0.13127488,0.16626056,0.19754642,0.20879497,0.19148044,0.15617442,0.11867849,0.095389724,0.091649674,0.105216004,0.1237427,0.13471651,0.12920086,0.112476386,0.09847794,0.10499233,0.13490939,0.17712831,0.21142662,0.22953862,0.2336983,0.23182805,0.22400852,0.20849322,0.18446189,0.15739506,0.13156107,0.109854676,0.0906728,0.0731228,0.057193164,0.044761192,0.036846366,0.032067902,0.029008167,0.026776774,0.026059492,0.026007064,0.025461195,0.023355803,0.020397184,0.017618438,0.01568375,0.014449194,0.013597518,0.012930085,0.0123686865,0.011868998,0.011344458,0.010723663,0.009971133,0.009120303,0.008652196,0.009462132,0.013117907,0.019895513,0.028762937,0.03618848,0.040371116,0.04152019,0.04381266,0.04966628,0.05844715,0.06487933,0.06487713,0.059060294,0.054048974,0.0577239,0.072166175,0.09126169,0.10334244,0.10095955,0.08460335,0.06255997,0.04488671,0.04206002,0.06489914,0.118002534,0.19190176,0.2583188,0.28956726,0.27502352,0.23140043,0.18189448,0.14308523,0.11545694,0.0953823,0.07793749,0.062470872,0.04979093,0.04462317,0.05014229,0.0658206,0.083805405,0.09593856,0.097919695,0.09425124,0.09228387,0.097255945,0.10825493,0.12244276,0.13907903,0.15786202,0.17431442,0.1799369,0.16968702,0.1474893,0.12173184,0.09913873,0.08021903,0.06449547,0.05119434,0.042415958,0.03947792,0.043309033,0.05126491,0.060103912,0.06892305,0.082654536,0.107433595,0.14419085,0.18425108,0.21481551,0.2265517,0.22067738,0.20649771,0.19526021,0.19118722,0.19054449,0.1857537,0.17234488,0.15102267,0.124987036,0.098223776,0.073507294,0.05417652,0.041814625,0.03734751,0.04028937,0.050786037,0.06922531,0.09410095,0.120515384,0.13988495,0.14565559,0.13754159,0.12321684,0.11166737,0.10689137,0.10595336,0.10409039,0.099465914,0.093981095,0.08918401,0.08629039,0.08715689,0.09951209,0.1277458,0.16755037,0.19906521,0.20508571,0.18175943,0.14435211,0.11018613,0.08834504,0.07761405,0.07354548,0.07217001,0.06962255,0.06281508,0.051732257,0.039953742,0.032935802,0.033116397,0.038622618,0.04325426,0.0422523,0.035691116,0.029426478,0.029802142,0.038082507,0.049291145,0.056213964,0.056718767,0.054889407,0.05708928,0.06407524,0.070730604,0.071260445,0.06608031,0.0620985,0.067895375,0.08857456,0.12125233,0.15473385,0.17258763,0.16363853,0.1303839,0.08864071,0.05687907,0.04378794,0.04593261,0.052552417,0.056078266,0.056243952,0.059612382,0.07085819,0.0869324,0.09716889,0.09252388,0.07450677,0.056059796,0.0536698,0.07404124,0.1087574,0.13811822,0.14630556,0.13097976,0.102385186,0.07413988,0.055665836,0.052781988,0.06582633,0.08932808,0.11003732,0.115748726,0.102686405,0.08093707,0.067917995,0.07969635,0.11971909,0.17652611,0.22673218,0.24917595,0.23400192,0.18880339,0.13035814,0.07715247,0.039421745,0.018834492,0.010259918,0.008038278,0.009169038,0.0145589635,0.026267944,0.04389747,0.06237715,0.07473786,0.077182524,0.07127476,0.061315965,0.050946582,0.04559393,0.05395173,0.08526061,0.135913,0.18712033,0.21259005,0.2019269,0.16637021,0.13252677,0.12149999,0.14003287,0.17899264,0.22096723,0.24856113,0.25383782,0.23966394,0.21554714,0.18934678,0.1660282,0.14923929,0.1391684,0.13390705,0.12835751,0.12530394,0.12862745,0.1409164,0.15171123,0.1502452,0.13150327,0.10415158,0.078858115,0.06501631,0.06577929,0.08033643,0.10135581,0.11866208,0.1261766,0.1267516,0.12818784,0.13451566,0.14044298,0.13712896,0.11833792,0.08860427,0.05728567,0.034660865,0.023128612,0.020361468,0.02117081,0.022488788,0.022737205,0.021794073,0.02082946,0.023214435,0.034039285,0.055496633,0.083004944,0.10483763,0.110799395,0.09931296,0.07894542,0.060438763,0.049648177,0.04579452,0.044737462,0.043128747,0.039642796,0.03522469,0.031226657,0.02867304,0.027216285,0.026904302,0.028484559,0.03369315,0.041953947,0.05010308,0.053688083,0.053124595,0.054914694,0.06878894,0.09719676,0.13197283,0.15654415,0.15941487,0.13956906,0.107969455,0.07727074,0.056971263,0.0488663,0.04987733,0.054358978,0.05788442,0.059263926,0.059121206,0.058504697,0.056369603,0.051742423,0.044100627,0.035019033,0.02644074,0.02014978,0.016880253,0.016523488,0.019049587,0.024893507,0.03563003,0.051405493,0.069014065,0.0812077,0.08158348,0.07025847,0.054192066,0.042253852,0.037447628,0.03743175,0.03845481,0.041940983,0.052279424,0.0705395,0.089927204,0.09999898,0.096668385,0.08517683,0.07420998,0.06795142,0.06503487,0.06728956,0.079577915,0.10915893,0.15109712,0.19370972,0.21688445,0.2121277,0.18198146,0.14914592,0.1377255,0.16131018,0.2082483,0.25366572,0.27918467,0.28303826,0.2720024,0.24747968,0.2080384,0.1581861,0.11137273,0.08000036,0.06976753,0.082678996,0.124346316,0.19618917,0.2869928,0.36589113,0.40324843,0.38465217,0.32513902,0.25175554,0.19175571,0.15627025,0.14364554,0.14328647,0.14480303,0.14224252,0.13544385,0.1276887,0.122738056,0.12258828,0.12750639,0.13511525,0.14180546,0.14280508,0.13578595,0.12078696,0.10132923,0.08169959,0.06580916,0.05504558,0.048943102,0.047086995,0.051010802,0.061290603,0.07525208,0.08524922,0.08633689,0.07838458,0.068098575,0.060680404,0.058321323,0.058532577,0.060226243,0.06515167,0.07802261,0.09977291,0.1254868,0.14666139,0.15816247,0.15943228,0.15069063,0.13173632,0.10402029,0.07494432,0.053935494,0.04847685,0.057656836,0.073916085,0.08516536,0.08441075,0.07239311,0.057922676,0.047999393,0.044253588,0.04258131,0.040511973,0.03890935,0.040147673,0.043824423,0.047380313,0.05031638,0.05417754,0.060437333,0.06559942,0.06564549,0.058556605,0.048288316,0.039721604,0.03645775,0.038190886,0.04255353,0.046317663,0.046858136,0.0435566,0.03883706,0.038003013,0.046198815,0.064471446,0.08789768,0.10934794,0.12465126,0.13564946,0.14490145,0.15171786,0.15018784,0.13686857,0.11329935,0.08708603,0.06502364,0.051268976,0.045838032,0.046356242,0.0490225,0.049935047,0.047675982,0.043436248,0.04028195,0.04075919,0.046169326,0.05660166,0.070041955,0.08359722,0.095574915,0.107331686,0.12027732,0.13163698,0.1366529,0.13346863,0.12646876,0.12058243,0.116637945,0.11150334,0.10196408,0.088683404,0.073684536,0.060530752,0.050338317,0.044122588,0.04091558,0.040640544,0.042479724,0.046437103,0.053554088,0.06784903,0.0941154,0.1320537,0.17384891,0.20567726,0.21903984,0.21188837,0.19244029,0.1683687,0.14866138,0.13524644,0.12867351,0.12439064,0.119734466,0.11207381,0.10212027,0.09157243,0.08396547,0.08232609,0.0875029,0.0968312,0.10569456,0.11004716,0.10789951,0.098941624,0.08485779,0.0689581,0.055722937,0.04807681,0.04674944,0.050467446,0.05779493,0.06862872,0.08541093,0.11151577,0.1471637,0.18489617,0.21403772,0.22624916,0.2220828,0.20568572,0.18287368,0.15881854,0.13962168,0.13042104,0.13117993,0.13834333,0.1446342,0.1453114,0.13661161,0.120821565,0.10153779,0.08487755,0.0730376,0.06763028,0.06810919,0.075149514,0.08741945,0.10270391,0.11792425,0.13158704,0.1421485,0.1470115,0.14338374,0.13173793,0.116652764,0.10270516,0.09187713,0.0831955,0.077459544,0.07587105,0.079151355,0.083201,0.08343631,0.07678809,0.06664295,0.058089916,0.05574964,0.05745168,0.05852674,0.054405924,0.047672827,0.04455023,0.049691793,0.060915068,0.0711405,0.07690085,0.07879596,0.08049443,0.08081769,0.078181736,0.07164908,0.06458307,0.059215087,0.056809496,0.05618382,0.056828886,0.05699198,0.05667476,0.05612263,0.057729807,0.062164873,0.0699262,0.079770476,0.09238348,0.107462645,0.12633784,0.14484137,0.15974925,0.16462661,0.16177766,0.15307797,0.14490105,0.13793506,0.13349392,0.12933643,0.12267665,0.11125463,0.09511128,0.079457074,0.06886197,0.06848896,0.077686004,0.093420565,0.10725064,0.113583185,0.10977281,0.10008427,0.09163925,0.097581625,0.13017991,0.19031875,0.256465,0.2953379,0.2876868,0.2437555,0.19254903,0.1565094,0.14014034,0.13902026,0.1530564,0.18779059,0.24459833,0.31262544,0.37186885,0.40137967,0.3904759,0.34231213,0.27383524,0.20625918,0.15622044,0.12910475,0.120427154,0.12066255,0.12115181,0.117658585,0.10976838,0.09870446,0.0855752,0.07446475,0.07294654,0.08927348,0.12354195,0.16671206,0.20521271,0.23061319,0.23910071,0.22954078,0.20147379,0.16019073,0.115903564,0.07905527,0.0557303,0.04934894,0.06355744,0.09579072,0.13472843,0.16020797,0.16251187,0.14430378,0.123679124,0.11260837,0.118005835,0.13395672,0.15434895,0.17017661,0.17660262,0.17173456,0.157972,0.14167006,0.12778164,0.11930276,0.114435434,0.112325095,0.116219856,0.13007693,0.15453468,0.18033083,0.19776289,0.20083691,0.19236362,0.17955981,0.16913956,0.16953437,0.1825218,0.20745195,0.23498173,0.26402023,0.29952446,0.3512628,0.41843435,0.48596188,0.53306407,0.5389273,0.49603227,0.40950385,0.30356568,0.20522131,0.13413371,0.09096238,0.06639361,0.0497281,0.03804487,0.03626494,0.05539589,0.10277367,0.1742422,0.24961944,0.3042725,0.31993598,0.29576093,0.2448032,0.1912988,0.15624397,0.14906992,0.16026102,0.17584957,0.18880796,0.20601897,0.23241854,0.26271534,0.279343,0.26981288,0.2334794,0.18415837,0.13774075,0.10701219,0.095989905,0.10380099,0.12454746,0.15248986,0.17833602,0.19424431,0.19099063,0.16945185,0.13609989,0.10492181,0.08302774,0.0716694,0.064990886,0.059266567,0.05358087,0.049335133,0.046927933,0.045914907,0.047246348,0.05275649,0.064079896,0.07850638,0.09242176,0.10156084,0.10659099,0.107661225,0.10602983,0.10036972,0.09279293,0.085582875,0.08139863,0.07946363,0.080157556,0.085183315,0.09628386,0.110895626,0.12305579,0.1297668,0.13192151,0.13420193,0.13643666,0.13700283,0.13323423,0.12838168,0.12554286,0.12454825,0.11924717,0.10537532,0.08494287,0.06694225,0.05965412,0.067419,0.08796818,0.11589837,0.14374858,0.1646846,0.17396007,0.16993548,0.15581167,0.13718112,0.12025633,0.10828843,0.10119742,0.09849485,0.09916538,0.10516075,0.11304941,0.11820223,0.11182355,0.096041285,0.07852293,0.07221922,0.08223873,0.11100346,0.15717943,0.21547532,0.27041265,0.30212843,0.29968977,0.26760635,0.22250052,0.17812973,0.14350392,0.11877508,0.10326902,0.09218109,0.08205723,0.07033623,0.060067613,0.05991255,0.07963601,0.1242115,0.18559217,0.24503763,0.2793207,0.27488267,0.23534201,0.17918395,0.12797059,0.09298053,0.07428214,0.06596691,0.06603143,0.07539281,0.09454679,0.1183784,0.14048421,0.15777345,0.17262168,0.18666755,0.19566876,0.19144231,0.16947462,0.13553326,0.10104526,0.07573218,0.06065898,0.051878825,0.04567497,0.04227197,0.045489326,0.058250744,0.08185226,0.110918395,0.13853389,0.15663715,0.1666907,0.17429687,0.18667923,0.20004958,0.20532836,0.19433872,0.17030494,0.14297102,0.12097605,0.10582907,0.09399703,0.082468405,0.07053403,0.05982836,0.051911425,0.048361655,0.051207203,0.06225292,0.08158394,0.10381364,0.12062513,0.12447833,0.11619467,0.10266719,0.09318902,0.09049434,0.09279203,0.09425309,0.093677096,0.09131491,0.090645276,0.09170529,0.09436169,0.097413994,0.10086038,0.10464168,0.10847313,0.1124137,0.11659355,0.12079764,0.1242344,0.12644018,0.12770756,0.1305448,0.13731833,0.1507034,0.16652034,0.17706425,0.17117427,0.14714412,0.11110874,0.076033056,0.050731827,0.03941506,0.044851895,0.072630055,0.13220157,0.22613025,0.34478083,0.46103182,0.5450929,0.57554805,0.5502443,0.4824781,0.39391768,0.30843455,0.24237151,0.20145214,0.17714028,0.15797383,0.13785525,0.12014329,0.110365875,0.10823766,0.1089557,0.10821351,0.10717678,0.109410584,0.1174858,0.1304063,0.14536224,0.15914024,0.17099412,0.181574,0.19186373,0.19815488,0.1939475,0.17327194,0.13876362,0.09948859,0.06666673,0.045531917,0.03629185,0.03564304,0.040191036,0.046361644,0.051495705,0.0544012,0.055777118,0.05800901,0.06487451,0.08067199,0.10747912,0.14232467,0.1754276,0.19397365,0.18899365,0.16390075,0.13375394,0.116555184,0.11926898,0.1336292,0.14280182,0.13518055,0.11160133,0.08267396,0.05947865,0.047821414,0.047288153,0.05458948,0.06426943,0.07122151,0.07222042,0.06958147,0.0710471,0.08598071,0.11993641,0.16705704,0.2113023,0.23213394,0.22036938,0.18368459,0.1412135,0.10780423,0.085617356,0.06935241,0.054709896,0.0432117,0.038358595,0.0422045,0.05423045,0.070923924,0.088855326,0.10300382,0.1120464,0.11410429,0.11266328,0.10842555,0.10456792,0.09824746,0.0901384,0.07945839,0.071798585,0.06910048,0.073353164,0.07945027,0.08442388,0.08418485,0.08046252,0.07395574,0.07008445,0.074449874,0.09593638,0.13272895,0.17274797,0.19349383,0.1859083,0.1562763,0.12635182,0.10928751,0.10733851,0.11033431,0.109602086,0.10108358,0.08696616,0.07162862,0.05834362,0.048444975,0.04141597,0.03714572,0.03856955,0.052428454,0.08548937,0.13476269,0.18407016,0.21088253,0.2032845,0.16701247,0.120630614,0.083462976,0.0704656,0.09068737,0.1404457,0.20061761,0.24313481,0.25726816,0.26106632,0.2910125,0.36425778,0.4565723,0.5138561,0.49396595,0.39926663,0.27247316,0.16576172,0.11270812,0.12283206,0.18325944,0.2631434,0.32012966,0.324892,0.27921262,0.21343637,0.15967177,0.13005358,0.118105955,0.112412654,0.1097497,0.11447958,0.13460691,0.17318058,0.224486,0.273613,0.3058856,0.31553486,0.30778196,0.2928707,0.27491093,0.25444552,0.2262638,0.19243877,0.15357725,0.117073156,0.085235514,0.06329364,0.050234497,0.044960573,0.043321323,0.044761837,0.04964343,0.05891754,0.0686048,0.07421246,0.07193025,0.06612775,0.06252691,0.067706496,0.0799925,0.09651634,0.11138475,0.12282711,0.12839903,0.12783825,0.12212456,0.11410069,0.10923716,0.109111495,0.114178546,0.11919942,0.12554853,0.13969624,0.1767571,0.2427202,0.32821658,0.4065031,0.45167515,0.4523362,0.41461298,0.35609815,0.2967214,0.2576649,0.25145027,0.27524698,0.30544093,0.31430385,0.28967544,0.2444918,0.20118618,0.17325324,0.15885137,0.15417749,0.15916787,0.17705052,0.20124258,0.22110711,0.22602294,0.21849214,0.20460795,0.19151336,0.1777934,0.16227327,0.14406611,0.12658109,0.111602396,0.100965776,0.09602126,0.09989198,0.113284566,0.1334269,0.15389729,0.16940464,0.17784174,0.17919435,0.17526549,0.1682862,0.16278704,0.15958625,0.15615028,0.1465087,0.13116857,0.11698282,0.115745604,0.13301444,0.16640918,0.20419641,0.2335897,0.24407876,0.2322325,0.20136942,0.16161117,0.12596822,0.1042909,0.09815668,0.10104114,0.104676835,0.10662281,0.11446071,0.1407131,0.19121833,0.2552168,0.30871025,0.33037713,0.31619766,0.27850714,0.23478083,0.19519,0.16552992,0.14785217,0.1441067,0.14916827,0.1548318,0.15370344,0.14507121,0.13312082,0.122259356,0.1145072,0.1088455,0.10326024,0.09730786,0.093679406,0.09842634,0.1174666,0.15358454,0.19942398,0.23901695,0.2543153,0.24322774,0.22047289,0.20400685,0.19503355,0.17970751,0.14952566,0.11080115,0.07949502,0.06423059,0.06781285,0.0885734,0.1224164,0.15517879,0.16855542,0.15323548,0.121901006,0.10245216,0.11791175,0.16653138,0.22238676,0.25323948,0.24463506,0.20512223,0.15716572,0.11773313,0.09292007,0.07908595,0.072588265,0.07097643,0.07394698,0.079756014,0.08736754,0.09592915,0.10560277,0.11623407,0.12779285,0.14091557,0.15516168,0.1689832,0.17912893,0.18287282,0.17792678,0.16520293,0.15045978,0.14423394,0.15319,0.17338242,0.18982017,0.18989258,0.17291059,0.15115844,0.13797794,0.13961045,0.15412782,0.17692335,0.20275237,0.2246613,0.23370309,0.22432359,0.1996366,0.17099176,0.14966224,0.14031364,0.1403895,0.14524162,0.15196408,0.15985239,0.16994084,0.18278848,0.1963712,0.20537329,0.20360585,0.19095115,0.17367256,0.16245858,0.16550298,0.1848586,0.21645463,0.2475795,0.26580703,0.26070222,0.23613001,0.20056792,0.16737936,0.14154647,0.1265973,0.121534884,0.13071156,0.15635668,0.2002091,0.2515113,0.29913342,0.32861617,0.33861104,0.32373527,0.2882447,0.23414822,0.18222575,0.1477675,0.14195633,0.15048748,0.15765591,0.14974119,0.13070898,0.10689852,0.08485033,0.064996295,0.04938512,0.045786377,0.06660371,0.12132429,0.20107038,0.28120327,0.32961574,0.33360812,0.29894033,0.24894933,0.20316248,0.17843449,0.17811559,0.19569613,0.21275313,0.21483056,0.1989562,0.17482053,0.15460636,0.14417087,0.14188048,0.14112921,0.13823682,0.13583004,0.13940609,0.14982416,0.15864484,0.15668558,0.14014706,0.11424485,0.087533236,0.070756376,0.0772217,0.11791605,0.192712,0.28077182,0.34873632,0.36828628,0.33512875,0.27080652,0.20655425,0.16457246,0.14854713,0.15239394,0.17177214,0.20733535,0.25636575,0.30302534,0.3259834,0.31336436,0.27806538,0.2444551,0.23052041,0.22859018,0.21988648,0.18956888,0.14517938,0.10606658,0.094398595,0.11945102,0.17567433,0.24062967,0.28475592,0.28848514,0.25537866,0.21123582,0.17939998,0.16697569,0.16196224,0.15687,0.15430576,0.16494745,0.18685502,0.20623024,0.20548545,0.18268643,0.15006264,0.12752615,0.12804371,0.15788071,0.21343823,0.28543064,0.35743403,0.4149269,0.44480464,0.44049832,0.40052807,0.33933654,0.2829713,0.2599037,0.27868,0.32433954,0.3669158,0.38227034,0.36131755,0.30945662,0.24131882,0.17698157,0.14125781,0.15047874,0.20342581,0.27265117,0.32348862,0.33109984,0.2978479,0.24282296,0.18885106,0.1477096,0.12232333,0.10978454,0.107524484,0.11236844,0.12447113,0.14656486,0.18231177,0.23009872,0.27947235,0.31701866,0.32792678,0.30765662,0.2607815,0.21232511,0.18692446,0.19867015,0.22800632,0.2466017,0.23227972,0.19425498,0.15415786,0.13645922,0.14715764,0.17892061,0.21393698,0.24174452,0.26415634,0.289453,0.3156868,0.32671225,0.30770978,0.26068738,0.20469387,0.16036312,0.14013684,0.14714281,0.17792404,0.22240579,0.2644575,0.28748068,0.28195402,0.25269014,0.21962227,0.20843862,0.23179209,0.27657157,0.3114172,0.31335655,0.28437358,0.24654263,0.21795309,0.20289703,0.19398288,0.18614583,0.17860563,0.17634916,0.18330199,0.20026278,0.22148675,0.23856789,0.24774309,0.24974282,0.24976303,0.24905376,0.2525265,0.2646572,0.2913382,0.324126,0.34533334,0.33590934,0.29823378,0.252084,0.22173679,0.21285339,0.2170756,0.22108047,0.22118485,0.21673445,0.20946245,0.19798374,0.18503177,0.17331423,0.1657304,0.160048,0.15114126,0.13567092,0.11366012,0.09071217,0.07066216,0.057515744,0.05223103,0.059019577,0.082167394,0.12515396,0.18173929,0.23667498,0.2693112,0.26861158,0.23730849,0.19278432,0.15295331,0.12901206,0.11868796,0.11271545,0.10221764,0.08652133,0.07160672,0.06506748,0.06813195,0.07783898,0.087455966,0.09613382,0.104384065,0.11680404,0.13373321,0.15455984,0.17722084,0.1996767,0.220625,0.23240985,0.22723545,0.19678183,0.14758568,0.09448498,0.05889589,0.053120602,0.07897446,0.12409985,0.16937101,0.19708373,0.20203628,0.18932812,0.16747649,0.13992631,0.11238432,0.09462175,0.099959195,0.12726621,0.1612724,0.1781562,0.16949143,0.14275429,0.115395404,0.097451985,0.08985325,0.09035235,0.09702128,0.111368,0.1310339,0.15459049,0.17533176,0.18888517,0.1880567,0.1733539,0.14853807,0.12805733,0.12675278,0.16265471,0.23728533,0.33671376,0.4228511,0.4664923,0.4555918,0.41001347,0.35142064,0.2968551,0.24851757,0.20856135,0.17857967,0.16090691,0.15246306,0.1476878,0.13924773,0.12632492,0.11414168,0.11949644,0.15943934,0.24164116,0.3456343,0.4308792,0.45909414,0.42600557,0.35980716,0.29992926,0.26493227,0.25169036,0.24431883,0.23498553,0.22415733,0.21810125,0.21944888,0.22466089,0.22596611,0.21652998,0.19574194,0.17190488,0.15417516,0.15083344,0.15762712,0.17047107,0.1772279,0.17582119,0.1602361,0.13683812,0.10752618,0.08121116,0.05856399,0.043171782,0.034708235,0.038267702,0.05540979,0.088164985,0.13200538,0.18745255,0.2536662,0.33206606,0.40877268,0.46141222,0.46493065,0.41513085,0.33074656,0.24336065,0.17659569,0.13564326,0.113021195,0.10047314,0.09986898,0.119002186,0.16248703,0.22155361,0.27896854,0.31788436,0.33135414,0.32097033,0.2939309,0.25830168,0.22261126,0.19538313,0.1838848,0.18940295,0.20175178,0.20443456,0.18508475,0.14823847,0.10915891,0.083753206,0.07547814,0.08048349,0.09323979,0.11549061,0.14999102,0.19620512,0.24254586,0.27461925,0.28161845,0.2657611,0.2371028,0.20812856,0.18675871,0.17549044,0.17255294,0.17180021,0.16714613,0.15429068,0.1359105,0.11649864,0.10065084,0.088426314,0.07984697,0.074888796,0.07420933,0.07622019,0.07777517,0.07693672,0.075901456,0.08241004,0.10553417,0.14579886,0.18985943,0.21454465,0.20688426,0.17201702,0.13000931,0.09622427,0.076387264,0.068825506,0.07347241,0.08901667,0.111353815,0.13008721,0.13711864,0.12757753,0.10727147,0.085307755,0.07505772,0.08300515,0.111082934,0.15216066,0.19813025,0.238361,0.26572934,0.2746983,0.26720926,0.2492974,0.23054655,0.21632276,0.20876135,0.2050436,0.20202786,0.19786735,0.19792505,0.21431418,0.25291917,0.3028249,0.3335658,0.32422462,0.27645773,0.21993428,0.18005894,0.16692066,0.16814144,0.1687444,0.1594548,0.14287384,0.12763128,0.1208058,0.124951065,0.13479559,0.1430726,0.14186145,0.13092862,0.11567221,0.10474407,0.10156552,0.10311452,0.10242665,0.094572134,0.07984477,0.06363417,0.05208688,0.04797272,0.04888514,0.050301205,0.049371142,0.046524044,0.0450719,0.04891856,0.0603269,0.07588679,0.087150805,0.085606866,0.07098265,0.052209053,0.041733623,0.046640236,0.064340875,0.0852651,0.0977621,0.09642444,0.082277775,0.06303053,0.04497533,0.032213744,0.026121885,0.029759893,0.048826236,0.08403378,0.12778634,0.16137417,0.1714798,0.15487665,0.12406823,0.09311681,0.0751624,0.07668481,0.1030693,0.15328692,0.22118218,0.29112637,0.3516294,0.39753643,0.43545294,0.46665847,0.48542607,0.47885945,0.4410704,0.3759496,0.29618767,0.21854822,0.16011982,0.13246582,0.13467537,0.15146893,0.16200209,0.15267831,0.1254089,0.092205204,0.06569083,0.051994618,0.053462923,0.06897473,0.09514747,0.121549346,0.1375782,0.13485837,0.11712111,0.09419564,0.08124625,0.08630216,0.11054102,0.14343716,0.1719259,0.18269558,0.17180674,0.14278139,0.106470466,0.07300364,0.0486576,0.034185264,0.027114911,0.024509424,0.023780301,0.02367007,0.025166243,0.03385294,0.059077173,0.10798276,0.17689158,0.25344107,0.3231456,0.38025132,0.41635004,0.4217031,0.384727,0.31803888,0.25132573,0.21844864,0.22430265,0.24889417,0.26285753,0.25486448,0.22987074,0.19954054,0.16725405,0.13307597,0.098197974,0.06933052,0.051677793,0.04612192,0.049045432,0.057459336,0.07040908,0.08719632,0.10426254,0.116521664,0.12180263,0.12371471,0.12703252,0.13380875,0.14014119,0.14258654,0.1380523,0.12656464,0.10779109,0.08459545,0.06442314,0.059643436,0.08466462,0.14607012,0.23915923,0.3438103,0.43740997,0.496876,0.5098358,0.47285545,0.4045789,0.3366495,0.30138436,0.30846778,0.34580675,0.39162466,0.4239899,0.42572722,0.3846344,0.30841404,0.2193188,0.1457256,0.09839035,0.07323135,0.05762441,0.047498867,0.04858624,0.07595798,0.13597092,0.21664344,0.28384814,0.3114307,0.3009077,0.28388503,0.2875318,0.31212196,0.33474222,0.33330253,0.302987,0.2540572,0.20449024,0.1738491,0.17268829,0.19683765,0.22346479,0.23199095,0.21545237,0.18821578,0.16654009,0.15822995,0.15944965,0.1668499,0.18028931,0.19844109,0.21091028,0.20714726,0.1848179,0.15687646,0.13563448,0.12622611,0.12066189,0.11241409,0.09866783,0.08484427,0.07662506,0.08094644,0.10160333,0.13681251,0.17512387,0.19963479,0.19986455,0.17888469,0.15038833,0.12662138,0.1119299,0.104998626,0.10323151,0.104572356,0.105588876,0.10367274,0.09885302,0.09420655,0.09234946,0.09328666,0.096502,0.10284332,0.11662674,0.14017414,0.17171879,0.20119834,0.2171322,0.21184951,0.18822141,0.15642427,0.12778172,0.10791705,0.09587223,0.08744636,0.080076315,0.07402575,0.07079113,0.070205264,0.07030519,0.06944726,0.06872157,0.07140685,0.08075789,0.09590381,0.113451906,0.12812148,0.13876133,0.14451428,0.14689533,0.14435633,0.13797224,0.12830196,0.11872285,0.11156082,0.10828545,0.10715834,0.10323474,0.09269873,0.07579123,0.05834045,0.046090588,0.041149944,0.04173833,0.045082197,0.05109954,0.060189445,0.0738675,0.08985896,0.10598603,0.11795217,0.12539853,0.12888186,0.13193494,0.13666034,0.1445205,0.15299577,0.15784794,0.15349065,0.14034908,0.12326715,0.11101367,0.10766211,0.11476026,0.13181472,0.16021545,0.19465013,0.22187634,0.22227271,0.19182599,0.14774819,0.12541433,0.1441363,0.19352967,0.23541284,0.24132265,0.2105707,0.16814512,0.1355607,0.11714045,0.10369109,0.08748714,0.06848442,0.051478077,0.040996313,0.038259882,0.04147404,0.047192678,0.053436488,0.06023252,0.06908076,0.08071957,0.094964236,0.11080495,0.12615247,0.13703816,0.1392637,0.13180164,0.1191749,0.109009765,0.104979075,0.10509557,0.10204343,0.09293688,0.078516036,0.06492653,0.056559097,0.059325475,0.08187894,0.13620198,0.22703476,0.33897093,0.43614492,0.48150948,0.4610076,0.39015234,0.29864177,0.21182567,0.14641245,0.11363857,0.1197621,0.15508626,0.19564752,0.21393557,0.20390426,0.1813399,0.17359634,0.19433796,0.24113066,0.2989041,0.35261837,0.38918245,0.40285444,0.3967867,0.38200793,0.3665122,0.3457042,0.31159675,0.26468122,0.22843766,0.22138137,0.24534978,0.26834086,0.2654638,0.22922774,0.1820162,0.14240654,0.11850852,0.10502684,0.096811086,0.09195956,0.08827173,0.08427205,0.082458176,0.095038556,0.13895756,0.21533899,0.30187705,0.3565654,0.3585311,0.31636024,0.26642093,0.2307759,0.21095061,0.19190054,0.16659245,0.14196408,0.12701474,0.12404879,0.12142855,0.11191412,0.09636373,0.0891154,0.10249547,0.14051217,0.19368108,0.24452417,0.27633214,0.28340343,0.27081165,0.250263,0.2278486,0.20876656,0.19513674,0.19279973,0.20083,0.21352732,0.21911786,0.21192218,0.19402654,0.17746915,0.1734571,0.1883346,0.21902664,0.25620213,0.29081473,0.3123941,0.31786808,0.30087134,0.26533696,0.21227974,0.15456277,0.10124152,0.065452754,0.05062926,0.056692403,0.076855265,0.10211581,0.12167647,0.12676011,0.11900411,0.111808784,0.12309525,0.15621673,0.19481884,0.21181232,0.19674216,0.16268133,0.14109778,0.14743584,0.17487736,0.19375552,0.18893845,0.16430084,0.14495586,0.14530729,0.16234018,0.17714633,0.17874528,0.17936693,0.20381315,0.26683235,0.3497422,0.41698778,0.43791768,0.4094254,0.3467867,0.272285,0.20205505,0.14439502,0.10023963,0.06791373,0.04739769,0.044065982,0.06595991,0.12057374,0.20447488,0.30067146,0.38012204,0.42151925,0.42651013,0.41974327,0.42553174,0.44628754,0.4645863,0.46271428,0.43718398,0.3945429,0.34293902,0.2882156,0.2366804,0.19418901,0.16757578,0.1652178,0.19134639,0.23816554,0.2809607,0.29638135,0.2763858,0.23794787,0.20707108,0.20596361,0.23663938,0.2832637,0.31934476,0.3293854,0.3136457,0.28648642,0.2596129,0.23935841,0.2226348,0.20346664,0.17608738,0.14657146,0.13040943,0.14416297,0.18906714,0.25338218,0.3203454,0.37955287,0.42525172,0.4536895,0.4612302,0.44559255,0.41086635,0.369243,0.34107938,0.34230602,0.3710229,0.40604123,0.42177105,0.41055527,0.38299906,0.35414135,0.32905352,0.3062124,0.2905899,0.29114518,0.31202784,0.3416363,0.36150363,0.3579236,0.33090284,0.29078624,0.25275406,0.2267788,0.21682268,0.21443643,0.21243514,0.20635621,0.20971756,0.23565094,0.29051462,0.35366765,0.39750466,0.40017462,0.36794868,0.32106808,0.2831867,0.26134992,0.25152978,0.24204208,0.23034358,0.22070186,0.22196048,0.23042166,0.2337961,0.21833622,0.18837608,0.16080779,0.15548255,0.17773186,0.2241327,0.28706253,0.35889527,0.42586908,0.47080436,0.48474476,0.47172973,0.44614637,0.42168793,0.4104452,0.4162455,0.42852482,0.4232019,0.38112608,0.3098075,0.24099515,0.20885922,0.22625323,0.278294,0.33209196,0.35172662,0.31940246,0.24490112,0.16082293,0.099104404,0.073152326,0.07582267,0.09145411,0.108595766,0.12560563,0.1477444,0.17774554,0.2070222,0.21856932,0.20184703,0.16760878,0.14269137,0.1510268,0.19393833,0.254607,0.31046543,0.3468186,0.35545418,0.33533144,0.29325166,0.2417218,0.19166736,0.14684866,0.110502124,0.090450265,0.09711418,0.1332207,0.19143891,0.26057276,0.33099738,0.39097926,0.4233642,0.41177523,0.35674214,0.27868018,0.208876,0.16988333,0.1731422,0.22169983,0.31383112,0.43223372,0.53876925,0.58987314,0.5657389,0.48505783,0.38792622,0.3063073,0.2506914,0.21536738,0.19078203,0.16820185,0.14440604,0.122535825,0.11074843,0.11398363,0.13030227,0.15234382,0.17310889,0.18939239,0.19844818,0.199531,0.19015819,0.17365937,0.15240067,0.1324913,0.11557731,0.10504372,0.10093853,0.10584522,0.121623576,0.15080895,0.18833607,0.22092555,0.23268138,0.2181366,0.18772848,0.16172196,0.15976411,0.19048661,0.24483442,0.2965492,0.31544992,0.2889503,0.22977813,0.16608979,0.11965283,0.09621333,0.08784321,0.08357331,0.07770605,0.07064655,0.06539947,0.06390283,0.07014307,0.0934265,0.13851376,0.1960183,0.24169613,0.26387796,0.27299723,0.29036018,0.3133737,0.31606725,0.27519944,0.20079698,0.12877268,0.09316212,0.10213075,0.13915972,0.17719899,0.19554049,0.18657959,0.15699728,0.12058669,0.09294942,0.08159787,0.08581532,0.096763216,0.1072646,0.11160055,0.10774047,0.09705918,0.08944664,0.100683235,0.14059289,0.20403405,0.2680833,0.30854893,0.30893305,0.27537087,0.22487628,0.18059814,0.15138143,0.13642807,0.1250446,0.11111461,0.09282055,0.07853439,0.08029392,0.11161693,0.17160122,0.24414127,0.29895368,0.31541714,0.29006803,0.24077368,0.18769808,0.14541253,0.11686493,0.1004351,0.09230291,0.0883969,0.08422371,0.07667119,0.06611127,0.058097884,0.063151725,0.092365615,0.14563884,0.20388599,0.23630641,0.22569786,0.1862697,0.1539905,0.15505038,0.18389605,0.21208596,0.21542716,0.19182514,0.15636356,0.12428444,0.10171751,0.086105645,0.07448023,0.06678551,0.0693793,0.090250015,0.13268949,0.18814975,0.23732264,0.2632904,0.2593801,0.23594223,0.20668598,0.18488944,0.169873,0.15619029,0.13321945,0.10088906,0.064383864,0.035397857,0.018995328,0.01581051,0.020105457,0.026870584,0.03220395,0.037612274,0.04662553,0.062229395,0.081870556,0.101567976,0.119732685,0.13765226,0.15367652,0.1607642,0.15279073,0.13125469,0.10553405,0.086155504,0.07968801,0.08841899,0.10935494,0.13297628,0.14512314,0.13608459,0.109787464,0.08212496,0.06909519,0.074673384,0.08904932,0.098482184,0.094505645,0.08211562,0.075913,0.09531788,0.14630575,0.21429427,0.26516047,0.2711548,0.22871979,0.16059051,0.095740914,0.05138485,0.029371576,0.02192338,0.020566145,0.019289156,0.01706407,0.01613498,0.020014336,0.028771149,0.039009303,0.044855613,0.044317797,0.038651664,0.03221215,0.027018517,0.024840364,0.026861882,0.034662865,0.04641248,0.05689591,0.060276926,0.054823622,0.04474257,0.038267408,0.044952918,0.07119673,0.1164575,0.16951944,0.21081835,0.22191471,0.19603175,0.14498086,0.09038112,0.05284183,0.0382959,0.040682834,0.047216173,0.050471038,0.05072895,0.055221606,0.068764895,0.08957886,0.10856552,0.11703605,0.11093769,0.093349636,0.07254081,0.060881257,0.06882009,0.09908908,0.13911717,0.16933584,0.17252685,0.15045083,0.11708007,0.09068694,0.07798106,0.07818759,0.08578882,0.09633181,0.1029753,0.09979287,0.0843888,0.061746683,0.039332684,0.022972887,0.013653268,0.009573442,0.008781998,0.011361048,0.019899199,0.036579818,0.060161103,0.08400098,0.09992554,0.10244293,0.09199648,0.072979696,0.051467776,0.032695428,0.020165712,0.01482634,0.014933827,0.017425396,0.01954612,0.022003157,0.028975094,0.046651524,0.07648521,0.11285759,0.14439236,0.16227834,0.16435923,0.1547985,0.13959515,0.12363372,0.1101982,0.10029473,0.09241029,0.0830169,0.069012895,0.050951112,0.032557815,0.01861448,0.01170703,0.012619571,0.02160429,0.036132365,0.05073336,0.056643564,0.050878152,0.03632799,0.022196291,0.014734746,0.017193578,0.027622992,0.041604925,0.052365113,0.055582378,0.053005043,0.051447388,0.056437522,0.066070445,0.072992496,0.070471756,0.058544975,0.042853694,0.030192064,0.023670835,0.022010462,0.02205264,0.022067897,0.023426145,0.028983021,0.039469365,0.05135813,0.059469145,0.0625009,0.066168614,0.07734242,0.0974114,0.1172503,0.12586327,0.11626938,0.092428185,0.06296152,0.037477892,0.02030004,0.011523516,0.0082530575,0.0077167177,0.0083060805,0.0094548315,0.011335629,0.015339497,0.024857655,0.04420093,0.0745221,0.110983275,0.14322913,0.16324578,0.16935576,0.16793323,0.16406143,0.15905945,0.14772712,0.12757353,0.10095059,0.077563286,0.066354595,0.06915933,0.079385936,0.088153474,0.09490534,0.10491172,0.124128126,0.15025623,0.1796596,0.20988393,0.24142826,0.26789334,0.27934635,0.26653397,0.23347431,0.1920598,0.15865768,0.13980824,0.13358222,0.12895808,0.119508006,0.10424346,0.0904574,0.0836099,0.08954828,0.10764881,0.13495032,0.16119997,0.18096937,0.19243878,0.20007007,0.20367362,0.20235533,0.19764431,0.19856755,0.21395616,0.24159344,0.26755306,0.2745773,0.26042077,0.23430896,0.21132283,0.19357346,0.17796683,0.15859865,0.13862193,0.12266117,0.11550597,0.11628655,0.121569,0.12761839,0.13625784,0.15562707,0.19318105,0.24285965,0.28273383,0.28860298,0.25527808,0.19988072,0.14852533,0.11606162,0.10238262,0.098388225,0.09684647,0.095401876,0.09552994,0.09803259,0.10060531,0.09934544,0.09203177,0.081960626,0.0757293,0.081199795,0.10084703,0.13067116,0.15881003,0.17246808,0.16492106,0.14249933,0.12233663,0.12227271,0.14651127,0.18171537,0.20438506,0.20080672,0.17391145,0.14213946,0.12105893,0.11663566,0.1211004,0.123869844,0.1174708,0.103479706,0.0880258,0.0771582,0.07163923,0.06908692,0.066594765,0.06460451,0.06497902,0.06939438,0.07717665,0.08537224,0.09100903,0.0909917,0.086167,0.0783473,0.07114587,0.0649836,0.059928868,0.05683014,0.056881268,0.059647232,0.060537186,0.05744648,0.051598266,0.04853906,0.0508069,0.057910502,0.06617395,0.07335166,0.0786658,0.085818924,0.098234065,0.11658148,0.13382153,0.14261816,0.14221321,0.13907856,0.13946405,0.1402884,0.13576715,0.12228162,0.10592083,0.09298977,0.08718154,0.08497283,0.082332306,0.07649169,0.068851784,0.062136084,0.058998436,0.058949888,0.05954573,0.059689447,0.06506607,0.08843031,0.14235742,0.22689195,0.32181856,0.3913792,0.40625262,0.36438236,0.3019291,0.2670085,0.29054424,0.35550323,0.41590616,0.42429754,0.37289265,0.29099828,0.22292422,0.19146343,0.18995625,0.20074308,0.2144774,0.23032212,0.2415485,0.23515719,0.20651264,0.16781376,0.1403026,0.1359257,0.15187915,0.17403118,0.18814833,0.18751843,0.1765389,0.16920102,0.18060344,0.22195251,0.28950298,0.36597702,0.4251776,0.45220932,0.451727,0.43887648,0.42589387,0.4100794,0.38754055,0.35146785,0.3058405,0.25415406,0.2091149,0.17639478,0.16027053,0.15298241,0.150513,0.15015501,0.16038787,0.18523884,0.22338219,0.25815463,0.27383795,0.26110092,0.22785975,0.18957369,0.16121322,0.14812015,0.14429183,0.14130586,0.13260384,0.12204802,0.11398836,0.11372144,0.117935635,0.12429098,0.12820645,0.13058423,0.13060278,0.12985134,0.12712385,0.124016374,0.12163187,0.12465801,0.13530086,0.15393089,0.1745457,0.1911822,0.19989645,0.20244934,0.20219523,0.20281734,0.2089109,0.22525214,0.25424108,0.28914198,0.31817755,0.32877496,0.318843,0.29323396,0.262502,0.23192604,0.20467691,0.18102509,0.16730644,0.17136787,0.19921489,0.24310143,0.28399038,0.30049822,0.28710648,0.25716305,0.23333524,0.22561215,0.22732727,0.22284657,0.20898248,0.19329077,0.1855526,0.18294822,0.17685036,0.1631384,0.14599408,0.13225964,0.12309144,0.11766076,0.11415672,0.11296204,0.112446554,0.11072775,0.10623979,0.10007023,0.093966275,0.08925933,0.08564156,0.08364129,0.085646026,0.09782683,0.1267792,0.176759,0.2423207,0.30873957,0.3557048,0.37089202,0.3547397,0.3199395,0.28001022,0.24599455,0.22173782,0.2084527,0.20303799,0.20649362,0.2214507,0.25046715,0.28632605,0.31237182,0.3129817,0.28231618,0.2327525,0.18102162,0.14228125,0.11618412,0.09799701,0.08158214,0.0680662,0.05971542,0.059526995,0.06942401,0.09190628,0.12509333,0.16197193,0.18816747,0.1936158,0.17503978,0.14296812,0.109702446,0.08548809,0.07104356,0.06320723,0.058537334,0.055364642,0.054135155,0.05461685,0.058002185,0.064565755,0.07451423,0.08561936,0.09389364,0.09624062,0.091618665,0.083487086,0.07522016,0.07029148,0.06833897,0.06906342,0.0710282,0.075402915,0.082008384,0.09207576,0.104700886,0.12245,0.14276694,0.16110443,0.16458112,0.14916839,0.117658146,0.08555224,0.06253485,0.054084536,0.05603105,0.06544117,0.07799936,0.09240085,0.105441846,0.114754826,0.11661794,0.11055093,0.09914321,0.088440485,0.08449916,0.09101393,0.108608626,0.13310753,0.15685154,0.17119579,0.17433111,0.17300521,0.1780458,0.19118063,0.20282851,0.19847222,0.17532264,0.14238234,0.114443034,0.09752452,0.09031859,0.08645531,0.082272775,0.075790785,0.067688935,0.059560716,0.053349156,0.050409675,0.05063508,0.05452563,0.06237239,0.074049436,0.086279936,0.09447267,0.095636375,0.09098601,0.08443462,0.07969219,0.080048434,0.091720246,0.12437876,0.18345316,0.25916103,0.32511497,0.3569492,0.3494008,0.3221971,0.29715535,0.28684214,0.28612447,0.2883627,0.2847015,0.27216867,0.2490892,0.22236125,0.20001541,0.1886456,0.18630667,0.18855,0.18970191,0.18763797,0.18130428,0.17373873,0.16882728,0.16900277,0.17134307,0.17017753,0.16264303,0.15109336,0.14088921,0.1353121,0.13369747,0.1340803,0.13491982,0.13717735,0.1398403,0.14108272,0.13691776,0.12707864,0.11343088,0.099998415,0.08932916,0.082658134,0.079960026,0.07899093,0.07749873,0.07388645,0.07058332,0.0692611,0.07054759,0.070904315,0.0689014,0.0659503,0.0683488,0.081706606,0.105229594,0.13111518,0.14795993,0.15269636,0.14941211,0.14809237,0.15271263,0.16425057,0.17983069,0.19805223,0.21460408,0.2253108,0.22811653,0.22813715,0.23154043,0.23993926,0.24623895,0.24409579,0.2329667,0.21941586,0.20951487,0.20652282,0.21114708,0.22147954,0.23247658,0.23793192,0.23719144,0.23614454,0.2433856,0.26048353,0.28265697,0.29762432,0.29533175,0.2674671,0.21862285,0.16062613,0.11194021,0.082361974,0.07300973,0.07487279,0.07888306,0.078871675,0.07632943,0.076270364,0.08338887,0.09597254,0.108047955,0.11387249,0.11335567,0.110011525,0.1074085,0.10547838,0.10519215,0.1098623,0.12855886,0.16397557,0.21327929,0.26284567,0.3074386,0.3451341,0.37944344,0.40079165,0.3965485,0.3587909,0.29783696,0.23593694,0.19544275,0.19004536,0.21742968,0.26584783,0.31528068,0.35340667,0.3730154,0.37914696,0.3775818,0.3761604,0.3739041,0.3659149,0.3453516,0.3151832,0.28540063,0.26784727,0.26532295,0.27046677,0.27198383,0.262914,0.24739872,0.23417985,0.22932027,0.22874428,0.22372104,0.20822935,0.18424642,0.15890974,0.1400782,0.13028626,0.12750332,0.124701954,0.11780683,0.10521507,0.091050215,0.07828847,0.069604196,0.06436124,0.061877757,0.061173454,0.062088504,0.065418705,0.071240515,0.079476945,0.08746476,0.0933852,0.09507527,0.095097356,0.09737381,0.10852462,0.12821674,0.15098341,0.16492112,0.1667555,0.16312887,0.17206924,0.20534635,0.2613841,0.32071254,0.3597287,0.36189845,0.32803205,0.27268454,0.21572386,0.1707576,0.14067781,0.12209871,0.112124294,0.11179247,0.120756455,0.13421126,0.1445703,0.1495746,0.15478933,0.16910072,0.1952287,0.22856654,0.26299277,0.29953054,0.34667912,0.41171026,0.49185857,0.5670212,0.6107189,0.6032419,0.552563,0.48554698,0.43016133,0.3898693,0.35037267,0.29909328,0.24081051,0.19061868,0.15781324,0.14082693,0.13197643,0.12471158,0.11630412,0.10659499,0.09819723,0.093468435,0.09503964,0.10210079,0.11185619,0.11870164,0.120115735,0.11714515,0.114058316,0.11348421,0.11541212,0.11777923,0.11759264,0.1111643,0.097605705,0.08223613,0.078836285,0.102051355,0.15562718,0.22391033,0.27663368,0.2890011,0.25734657,0.202031,0.1488386,0.11461052,0.10213006,0.11080539,0.13958229,0.18151663,0.21793456,0.22582293,0.19807883,0.14773476,0.10018712,0.07065782,0.060910854,0.06151277,0.0639552,0.06443194,0.06574878,0.07358297,0.08958932,0.107788354,0.11716402,0.1124112,0.09693167,0.08047996,0.06953197,0.06761905,0.07449279,0.0880566,0.10119029,0.10617957,0.09933712,0.08392034,0.06709744,0.057160374,0.062458184,0.085517876,0.11852112,0.1432293,0.146819,0.13127804,0.111396305,0.09766161,0.0882226,0.075907744,0.05882567,0.043760482,0.03730051,0.041267,0.051672816,0.06318363,0.0708228,0.071520634,0.06522045,0.054825377,0.045406774,0.041478395,0.045212463,0.053881794,0.061434243,0.062247653,0.05720502,0.051963836,0.052710254,0.05833121,0.06396234,0.06406805,0.06017923,0.05722552,0.0610725,0.072299995,0.08731461,0.10051611,0.10714,0.10494497,0.094428994,0.08101226,0.0718418,0.0720041,0.07948197,0.09089664,0.10784932,0.13935727,0.18889022,0.2463439,0.28838387,0.29827255,0.27310744,0.22663826,0.17319913,0.1257534,0.089563906,0.06797352,0.059298724,0.06085028,0.06758127,0.07491545,0.0788518,0.078132056,0.073795244,0.0674931,0.060089838,0.052219544,0.04551944,0.04197483,0.041595858,0.042663913,0.043702926,0.046642635,0.054231565,0.066794455,0.08071194,0.09335212,0.1071871,0.12652808,0.15273042,0.17978394,0.20153576,0.21119559,0.20607464,0.1828913,0.14623214,0.1054509,0.07398094,0.057920683,0.055999238,0.063111864,0.07813474,0.1037261,0.13856441,0.17429595,0.1993152,0.21105862,0.21454257,0.21590553,0.21318507,0.20091687,0.17712502,0.14641626,0.11798546,0.10015488,0.0970634,0.10567763,0.11854023,0.1305316,0.14044023,0.14888905,0.15106362,0.14194945,0.12019057,0.09483355,0.07758642,0.07890303,0.09820814,0.12677942,0.14819495,0.15272225,0.13901697,0.11729195,0.09632081,0.08292701,0.07774318,0.08047568,0.08716753,0.09361318,0.09609327,0.095137894,0.09391614,0.09642625,0.10440326,0.11660156,0.12885837,0.13547249,0.13165195,0.11645628,0.095350325,0.07848219,0.0769713,0.09504392,0.12871744,0.1667798,0.20007272,0.2232406,0.23395996,0.22912538,0.20739168,0.17449683,0.14119725,0.118252866,0.10859493,0.11001908,0.1168829,0.12509474,0.12985563,0.12872088,0.12134846,0.112739064,0.107680105,0.10737473,0.1079096,0.10558185,0.10061144,0.09454105,0.087843426,0.07967458,0.071816206,0.06727704,0.066805296,0.06732728,0.06522181,0.06054983,0.056086585,0.05438332,0.05512696,0.056198794,0.055493955,0.051870257,0.04595125,0.039275263,0.033849575,0.030087585,0.027127659,0.023633525,0.01933641,0.015025149,0.011858172,0.010678742,0.0117562935,0.014334805,0.017014869,0.018215364,0.018087452,0.018370427,0.02133047,0.02668094,0.031569168,0.032555025,0.029267171,0.023928417,0.01929608,0.015671264,0.012279426,0.008469283,0.0052015134,0.0035967338]