[0.000100654586,0.00022161106,0.00055575295,0.0011088435,0.0017521507,0.0022326792,0.0023195446,0.0019974473,0.0014670499,0.0010001266,0.0007408128,0.00068347045,0.0007394454,0.00083309086,0.00092303095,0.000998727,0.0010732202,0.001172268,0.0013186809,0.0015148361,0.0017399018,0.0019574075,0.0021257764,0.0022198476,0.002245099,0.0022379418,0.0022307413,0.002222116,0.0021764766,0.002065915,0.0019020238,0.0017339406,0.0016121914,0.001561286,0.0015696256,0.0015977119,0.0015979878,0.0015422307,0.0014397628,0.0013263179,0.0012357208,0.0011820156,0.0011610818,0.0011686048,0.0012050938,0.0012811535,0.0013930331,0.0015170946,0.0016084174,0.0016478972,0.0016551659,0.0016671111,0.001680412,0.0016474347,0.0015302234,0.0013507293,0.0011775945,0.0010615325,0.0010000259,0.0009560599,0.0009035514,0.00084658084,0.0008069251,0.0008017118,0.0008295125,0.00087388785,0.00092143443,0.0009895386,0.0011250483,0.001361577,0.0016900022,0.0024015838,0.00461305,0.01066595,0.022885578,0.041670475,0.06375665,0.08364987,0.09638851,0.10034727,0.09688974,0.08859917,0.07727665,0.063806675,0.049656797,0.039311748,0.040828496,0.061838705,0.10123375,0.14536689,0.17394924,0.17545241,0.15516068,0.13101014,0.117985584,0.11906447,0.12615466,0.12945175,0.1239286,0.11001871,0.09099856,0.07154637,0.058260057,0.058230873,0.0736398,0.09775767,0.11689234,0.12047354,0.10743178,0.08591343,0.064730085,0.048436373,0.036648557,0.027666712,0.020308265,0.014276649,0.009535677,0.0060470426,0.0036888432,0.0022619318,0.0015131218,0.0012106815,0.0011663291,0.0012389766,0.0013100131,0.001309867,0.0012290161,0.0011171508,0.0010273755,0.0009896572,0.0011733674,0.0033514688,0.012069963,0.03445854,0.07379822,0.12422848,0.16959514,0.19434357,0.19277024,0.17181171,0.14277144,0.113903664,0.088555254,0.06744225,0.05091825,0.038750898,0.03157348,0.032250013,0.04670914,0.07799574,0.12085914,0.16007084,0.18066734,0.17697722,0.15564738,0.12747209,0.100281715,0.076784916,0.057310853,0.04195581,0.030693412,0.02322334,0.020885393,0.028406342,0.05376023,0.099889554,0.15870886,0.2100476,0.23576654,0.22996521,0.20191067,0.16510378,0.12932381,0.09854525,0.074022,0.056265056,0.044463024,0.03662964,0.030458177,0.024741089,0.019437695,0.014991884,0.011575525,0.008994532,0.0069338195,0.0052073267,0.0037812067,0.002689713,0.0019603383,0.0015383107,0.0013229791,0.0014146138,0.00306986,0.009729858,0.026964083,0.05886293,0.10369005,0.15166418,0.1900873,0.21000193,0.21094203,0.19808964,0.17807259,0.15528475,0.13208602,0.10933432,0.08734381,0.067197084,0.052736104,0.051095396,0.067976676,0.100286365,0.13369747,0.15075137,0.14448744,0.12285146,0.101522766,0.09049577,0.08960534,0.09191113,0.0910624,0.08461156,0.07358565,0.06164528,0.05448066,0.05982135,0.08214033,0.11785495,0.15273945,0.171306,0.1658576,0.1420446,0.11123406,0.08315172,0.060985312,0.044228207,0.03133917,0.021663034,0.016387315,0.01941341,0.037554063,0.07428291,0.12433054,0.17071112,0.19606473,0.19237609,0.1670437,0.13329835,0.10211449,0.07700216,0.057666574,0.042899847,0.032017376,0.024243847,0.01895755,0.018464884,0.029203966,0.059843738,0.110722005,0.16951652,0.21318911,0.22630341,0.20809239,0.17307855,0.13528156,0.10299579,0.07684265,0.05605052,0.039738614,0.027493969,0.018599471,0.012239344,0.007813411,0.0048928955,0.0031325184,0.0021724973,0.001682763,0.0014312767,0.0012776577,0.0012024975,0.0013756612,0.0021850832,0.0040455703,0.00684752,0.009730137,0.011322132,0.010831458,0.008521416,0.005613362,0.003207083,0.0017937083,0.0011749143,0.0009929697,0.0009753204,0.0010190945,0.001086864,0.0011545019,0.0011984581,0.0012040358,0.0011813542,0.0011619972,0.0011885891,0.0012763167,0.0013936892,0.001466612,0.0014377678,0.0013065273,0.0011321496,0.0009793356,0.0008806418,0.00082980003,0.0008079405,0.0008017931,0.0008072008,0.00082394504,0.0008513201,0.0014125453,0.004636779,0.015434902,0.03997566,0.08114984,0.1335004,0.18372136,0.21769328,0.22866027,0.2196167,0.1985888,0.17285728,0.14632423,0.120800525,0.097647585,0.079431705,0.07070556,0.07744587,0.102176666,0.13806367,0.16910356,0.17932427,0.16532423,0.1376769,0.11289892,0.10063821,0.10077094,0.106212795,0.10967822,0.10697933,0.098112404,0.086912006,0.08015522,0.08590164,0.10910096,0.14630948,0.18448405,0.20732738,0.20564945,0.18250175,0.14900117,0.11584195,0.08800089,0.06586676,0.048227087,0.03436872,0.02383756,0.016139848,0.010656851,0.0068371124,0.004307913,0.002751834,0.0019144303,0.0015401928,0.0014360808,0.001447182,0.0014660219,0.0014377929,0.00136327,0.0012870157,0.0012495673,0.0022594675,0.008184294,0.026662856,0.06495401,0.12122854,0.18063273,0.22165853,0.23160052,0.21297495,0.1794978,0.14330219,0.110670686,0.08287252,0.060561165,0.044027537,0.03268526,0.025943868,0.02605318,0.039683107,0.073495656,0.12493026,0.1784478,0.2123429,0.2149604,0.19031589,0.15366441,0.11747432,0.08761779,0.06404403,0.04615591,0.03321346,0.02437379,0.019554107,0.021613285,0.037491288,0.0721402,0.12163516,0.17001311,0.19968176,0.20280354,0.18534093,0.15860862,0.13048401,0.10401902,0.08041992,0.06140125,0.04761382,0.038424704,0.034030005,0.03822505,0.058440458,0.097836845,0.1492703,0.19385405,0.21451892,0.20582058,0.17713468,0.14168881,0.108801365,0.08154867,0.06019385,0.044360716,0.032991335,0.024565497,0.018634444,0.017525472,0.026857644,0.05078463,0.08755243,0.12583233,0.15192528,0.15688504,0.14325619,0.11979035,0.09580534,0.07546893,0.05935995,0.046364978,0.035761032,0.027316654,0.02290935,0.02741281,0.047741026,0.08458427,0.12757255,0.15677136,0.15828091,0.13327931,0.0976491,0.067704566,0.051518787,0.04749341,0.0498398,0.052873734,0.05296107,0.04909477,0.042015072,0.03453711,0.031771835,0.04199929,0.07057383,0.11404208,0.15591662,0.17782961,0.17048728,0.14130573,0.10486088,0.07346152,0.05059092,0.034786332,0.023399496,0.015169166,0.009589026,0.007993309,0.014590521,0.03742018,0.08082236,0.13907187,0.19215588,0.21964192,0.21227498,0.1797425,0.138537,0.102210015,0.0747071,0.055293705,0.041540578,0.03172729,0.024007214,0.018354326,0.017757371,0.028962895,0.056824505,0.098172836,0.13943662,0.16462429,0.16622575,0.14879732,0.12337449,0.09829694,0.07702933,0.059581194,0.045787096,0.035371326,0.027950943,0.022817932,0.019207403,0.016407574,0.013833183,0.0111661935,0.008433715,0.0058943816,0.0038627142,0.0024820205,0.0016954,0.0013198702,0.0011771907,0.0011533159,0.0011797854,0.001218657,0.0012474031,0.0012642159,0.0012727055,0.0012710504,0.0012535765,0.0012174231,0.0011750216,0.001137527,0.0011119986,0.0010879143,0.0010597939,0.0010279064,0.0010060022,0.0010007235,0.0010101622,0.0010234156,0.0010400588,0.00109514,0.0012636981,0.0016312114,0.0021763835,0.002735697,0.0030429552,0.002964138,0.0025698356,0.0021014072,0.0017335471,0.0015097047,0.0013672576,0.0012627592,0.0011931417,0.0011748458,0.0012973564,0.0029627644,0.010097861,0.02978156,0.066843145,0.1185189,0.17060883,0.2064504,0.21603392,0.20308913,0.1781826,0.15141465,0.12680168,0.104939006,0.08589587,0.07095381,0.06208707,0.06268657,0.07814262,0.113132596,0.16326006,0.21142943,0.23455192,0.2214355,0.18014216,0.13236609,0.0959135,0.07752407,0.073276065,0.076012336,0.07858465,0.076372586,0.0686615,0.060806844,0.064116426,0.09047636,0.14220358,0.20526378,0.25459296,0.27047703,0.25088087,0.20988984,0.16470169,0.12555806,0.09455487,0.07013033,0.050816715,0.03579423,0.024600858,0.01655492,0.010966738,0.0071531474,0.0046320227,0.0030892363,0.002310776,0.0020779038,0.0021254271,0.002198619,0.0021572649,0.0020087834,0.001850037,0.0017495208,0.0017123941,0.0017042748,0.0017068549,0.002183203,0.0059308484,0.019406423,0.051353436,0.10438812,0.16909659,0.22484411,0.25451705,0.25449893,0.23558168,0.21044521,0.18567343,0.16128533,0.1361788,0.111299336,0.08942456,0.075723566,0.0784583,0.10674432,0.16200882,0.23149164,0.2913818,0.32156667,0.31642735,0.2852219,0.24143142,0.19589345,0.15449688,0.12050372,0.09478261,0.07645715,0.06351782,0.054337244,0.04992449,0.055613738,0.08168862,0.13510887,0.21161829,0.2900516,0.3454593,0.36188397,0.34239247,0.30001596,0.24898958,0.19786222,0.1516873,0.11341264,0.084370054,0.06385278,0.049918234,0.040686283,0.034930687,0.031652328,0.029664353,0.027520835,0.024332901,0.020093208,0.015612728,0.011669076,0.0086077405,0.0063416604,0.004671022,0.0034739326,0.0030508405,0.0058165155,0.017842455,0.04845046,0.10301951,0.1762923,0.24965711,0.3026507,0.3234487,0.3160909,0.29188955,0.26234558,0.2321434,0.20251423,0.17288893,0.14446333,0.11878719,0.097671606,0.08305951,0.078964986,0.092421375,0.12632559,0.1734078,0.21269472,0.22523749,0.20592386,0.16994886,0.13742314,0.1208226,0.11837703,0.12094212,0.119752355,0.11099798,0.09578085,0.07945854,0.07089016,0.081408896,0.11606139,0.16717772,0.21240814,0.23085946,0.21552795,0.17843847,0.13664985,0.10176861,0.07547954,0.0555201,0.039742526,0.027549999,0.018718747,0.013349958,0.013728477,0.025986955,0.05818346,0.11164508,0.1743455,0.22309949,0.23943727,0.22142035,0.18388762,0.1443667,0.11285735,0.0898362,0.07204023,0.056619182,0.04253624,0.030412277,0.024383428,0.03335752,0.06965887,0.13759214,0.22498482,0.3030676,0.346132,0.34679198,0.3180241,0.27791336,0.2371056,0.19840057,0.16148221,0.12777169,0.09848169,0.07448034,0.055247772,0.040205985,0.028680408,0.020178786,0.014196283,0.010164418,0.007497722,0.0056875125,0.004422698,0.0035316574,0.0029146883,0.0024711813,0.0021443362,0.0019013346,0.0017327532,0.0016049203,0.0015000101,0.0014113737,0.0013494944,0.0013079699,0.0012712587,0.0012277649,0.0011835853,0.0011516005,0.001134343,0.0011204492,0.0010997105,0.0010745659,0.0010590027,0.0010571871,0.0010622503,0.0010626701,0.0010620818,0.0010736367,0.0011300071,0.0012889031,0.0016299076,0.0021587752,0.0027387796,0.0031069836,0.0030776311,0.002674587,0.002121446,0.00164204,0.0013365304,0.001178371,0.0011042639,0.0010713221,0.0010599528,0.0010689694,0.0013768127,0.004013191,0.014131956,0.040008273,0.08688202,0.15107091,0.21687643,0.26609293,0.2873299,0.28255567,0.26082602,0.2318642,0.20110746,0.17114253,0.14359659,0.12020945,0.103579886,0.097540595,0.1080176,0.1389217,0.18562625,0.23108868,0.2533169,0.24117851,0.20243372,0.15848671,0.12737899,0.11513919,0.11526155,0.11763742,0.11426768,0.102825284,0.08520376,0.06711661,0.05747199,0.06832673,0.10640287,0.1649733,0.22031586,0.24738963,0.23552805,0.19585429,0.14812365,0.10724196,0.077001564,0.05518466,0.038885113,0.026647685,0.017781666,0.011668175,0.007646499,0.0050909845,0.0034943821,0.0025102582,0.0019259261,0.0016040076,0.0014396999,0.0013597147,0.0013144343,0.0012774739,0.0012369092,0.0011967979,0.001168021,0.0011602445,0.0011794065,0.0015878599,0.005387688,0.019955127,0.05621907,0.11862125,0.1973006,0.2675366,0.30642167,0.3063481,0.2779055,0.2376092,0.19712369,0.16093268,0.12953797,0.10307152,0.08132284,0.06493591,0.057443034,0.067321986,0.10388895,0.16705929,0.24063015,0.29796937,0.31989047,0.3055134,0.26951143,0.22754765,0.18829983,0.15358269,0.12331913,0.09766608,0.07646514,0.05956934,0.049526576,0.054063987,0.084590904,0.14448088,0.22117181,0.2860347,0.31499472,0.30183247,0.2616696,0.21375652,0.17061932,0.13469873,0.10476118,0.07994612,0.060027648,0.04555881,0.03990877,0.051482353,0.0907165,0.15790921,0.23717643,0.2992109,0.32343677,0.30718994,0.2674142,0.221492,0.18095727,0.14733247,0.11986055,0.09684089,0.07757213,0.061436713,0.049586937,0.046599925,0.0608598,0.0981664,0.15518509,0.21524574,0.25860715,0.2722905,0.25866997,0.22803165,0.19196106,0.15632452,0.12426471,0.09788647,0.080208205,0.07244434,0.07498595,0.08880121,0.11829349,0.16332133,0.21292281,0.24419892,0.24014358,0.20193927,0.14944817,0.10385397,0.07612521,0.06578821,0.06735706,0.07446086,0.08079403,0.08167282,0.07547951,0.06501409,0.057290614,0.06260557,0.089116834,0.13463971,0.18284744,0.21104783,0.20630284,0.17296582,0.12796818,0.08629575,0.055061888,0.033613857,0.019652853,0.010883205,0.0069453865,0.010005144,0.026761917,0.06511112,0.12838584,0.20762257,0.28298298,0.33194757,0.3417981,0.3150902,0.26578125,0.21038179,0.15989165,0.118673556,0.08630496,0.061196964,0.041829556,0.027169285,0.017704947,0.017696954,0.036345962,0.082789026,0.1549135,0.2339381,0.29157397,0.31033304,0.29255423,0.255891,0.21574433,0.1787783,0.14454387,0.11279031,0.0850145,0.06294402,0.046885908,0.035680734,0.027790613,0.021887079,0.017110938,0.013048018,0.009573395,0.0067736697,0.0047113555,0.003363058,0.0025769232,0.0021565293,0.0019310564,0.0017846749,0.0016693423,0.0015743374,0.0015072417,0.0014649829,0.0014321095,0.0013934183,0.0013506418,0.0013178498,0.0013070054,0.0013107894,0.0013148728,0.0013045444,0.0012806362,0.0012456551,0.0012079255,0.0011706763,0.0011400814,0.0011163413,0.0011013491,0.0010974078,0.0011103301,0.0011397594,0.00117994,0.0012253857,0.0012799549,0.0013476396,0.0014218868,0.001483684,0.0015174882,0.0015229955,0.0015077824,0.0014861203,0.0020251106,0.005911919,0.019622384,0.052092064,0.10779064,0.18070483,0.25359142,0.30921736,0.33966172,0.35070893,0.3530976,0.3559314,0.36180946,0.3696791,0.37632596,0.3782479,0.37198898,0.3561348,0.3343929,0.31597793,0.31105325,0.320524,0.3330107,0.3308276,0.30685255,0.26989177,0.24032629,0.23168778,0.24397354,0.2636759,0.27740055,0.27728888,0.2648868,0.2471069,0.23705924,0.24884193,0.28898215,0.3470299,0.39953312,0.42740777,0.42827764,0.41452762,0.3985795,0.38503674,0.37143502,0.35314378,0.32624397,0.28798255,0.23935325,0.18504001,0.13259637,0.08823037,0.055054337,0.032550383,0.018462729,0.010166994,0.0056143845,0.0033495836,0.002396011,0.0021018519,0.0020645198,0.0020671622,0.0020326271,0.0019655905,0.0019074142,0.002363372,0.006054098,0.019347643,0.05068187,0.102630794,0.16548745,0.21863961,0.24445225,0.23923104,0.21393843,0.18268877,0.1542933,0.13059054,0.11076438,0.09364558,0.07869137,0.06560575,0.055998277,0.05493969,0.07103916,0.11098834,0.17007323,0.23022282,0.26837158,0.27408758,0.25333405,0.22198711,0.19063115,0.16216373,0.13476807,0.10803763,0.08317759,0.06163403,0.045043513,0.037226018,0.046076313,0.080419265,0.14150125,0.2172122,0.28522268,0.32745147,0.33892706,0.3290303,0.31038415,0.2924455,0.27612647,0.25696242,0.2284143,0.1897393,0.15017001,0.12865028,0.14484091,0.20495243,0.29322994,0.37615493,0.42323104,0.42327043,0.3882489,0.3377544,0.28589663,0.23588692,0.18656848,0.13808243,0.09378841,0.0577651,0.032805514,0.020894438,0.025013091,0.048264433,0.08940872,0.1384086,0.17915338,0.1986324,0.19527753,0.17797567,0.1577775,0.14054449,0.12616214,0.112334065,0.09787669,0.08343556,0.07081266,0.063164406,0.065904975,0.08599469,0.12605035,0.1780027,0.22333439,0.24494,0.23967808,0.21971802,0.20164536,0.19390023,0.19488283,0.19718444,0.1949228,0.18614805,0.17536509,0.17290844,0.19053619,0.2328655,0.29091287,0.3471721,0.3864887,0.40426788,0.40320408,0.38629952,0.35428748,0.30806756,0.25190207,0.19232531,0.13626699,0.088733636,0.052508026,0.027861828,0.013238461,0.0058718342,0.0028708356,0.0019306663,0.0017116856,0.0016524754,0.0016097063,0.0015762812,0.0015680102,0.0016013719,0.001692979,0.0018613819,0.0027843919,0.00851734,0.027694797,0.07115369,0.13908808,0.21555805,0.27114835,0.28665546,0.26265657,0.21930625,0.17525588,0.1398065,0.11180676,0.08852639,0.06873384,0.05258112,0.040247817,0.03247688,0.03318895,0.049821157,0.08779508,0.14184207,0.19388235,0.22300993,0.22043218,0.19352776,0.15786909,0.124438256,0.09674695,0.07362015,0.054248247,0.038494706,0.026467629,0.017821183,0.012316977,0.011819153,0.021985441,0.051323574,0.10244038,0.16449133,0.21423207,0.23220038,0.2163888,0.18196766,0.14660901,0.11852712,0.09666317,0.077318326,0.059142735,0.04265013,0.028843371,0.018279377,0.011067786,0.0068166326,0.004744925,0.003990941,0.003918616,0.0041490975,0.00444436,0.0045448006,0.0042722793,0.0036178625,0.0027981196,0.0020657703,0.0015788643,0.0013381923,0.001273695,0.0015076208,0.0034761429,0.010921122,0.029957449,0.06439092,0.111299895,0.1583252,0.19134331,0.2019307,0.19337434,0.17476737,0.15499942,0.13722424,0.12110407,0.10532177,0.09000617,0.07628065,0.066887334,0.06720228,0.085201204,0.12442907,0.17647074,0.21973686,0.2342705,0.21674888,0.18417142,0.15833782,0.1502214,0.15564512,0.16417663,0.16799743,0.16502832,0.15788595,0.15482002,0.16906919,0.21371627,0.28984547,0.38141346,0.46171427,0.51048034,0.5236929,0.51078016,0.48239386,0.44329283,0.39269915,0.3307731,0.26141158,0.1927733,0.1325512,0.08582327,0.052840844,0.03135558,0.018032858,0.010450582,0.006779685,0.0055805407,0.0054000723,0.0052054995,0.004590633,0.003770524,0.0030751098,0.0026781939,0.0025387043,0.0032458995,0.008424495,0.025833093,0.06481076,0.12537764,0.19312875,0.24249537,0.25672054,0.23667584,0.19947378,0.1606836,0.1275246,0.09898371,0.07354404,0.0513111,0.033513505,0.021848293,0.020140229,0.03556333,0.07480862,0.13489066,0.19853981,0.24088092,0.24705039,0.22107083,0.18098931,0.14278007,0.11279055,0.08925172,0.06954011,0.05272588,0.039113507,0.028850235,0.02382242,0.029738044,0.05614835,0.10791127,0.17775285,0.24478741,0.28852773,0.30059004,0.28833118,0.26501113,0.24218424,0.22595477,0.21667707,0.20824623,0.19145043,0.16294116,0.13252987,0.12147298,0.14609577,0.20417698,0.26986817,0.31324077,0.31635806,0.28496605,0.2345329,0.18089555,0.13077971,0.087758146,0.053163737,0.028649757,0.0135590285,0.0059190528,0.003631896,0.0070671462,0.020261245,0.04776598,0.089899056,0.13774738,0.17749377,0.19747102,0.19635652,0.18067162,0.1594335,0.13772699,0.11710269,0.09751743,0.07953309,0.064077355,0.052504167,0.048177857,0.057846498,0.089268446,0.14180982,0.20111991,0.24307911,0.2524196,0.23307197,0.20572822,0.18927152,0.18927097,0.19751976,0.20150644,0.19301136,0.1708253,0.1419747,0.11922573,0.11921677,0.15151642,0.2130146,0.28388104,0.34224954,0.37244165,0.3730986,0.34808996,0.30408975,0.24717806,0.18589258,0.12908885,0.0832443,0.050359756,0.028769588,0.015572307,0.008052608,0.004217477,0.0025381052,0.001941368,0.001772317,0.0017493902,0.0017753611,0.0018132966,0.001829288,0.0018042094,0.0017415063,0.0016725496,0.0019666434,0.0050059375,0.016617803,0.045446157,0.09543381,0.15918624,0.21674938,0.24832158,0.24598223,0.21814662,0.17997535,0.14374702,0.11435047,0.09185038,0.07472927,0.061517045,0.051282614,0.045709882,0.05095586,0.076719694,0.12652762,0.189587,0.24132472,0.26048318,0.24308328,0.20311826,0.1582439,0.11854851,0.08629009,0.06091398,0.04249091,0.03043993,0.023363912,0.019912327,0.021577006,0.03372994,0.06381112,0.11335925,0.1727652,0.22167285,0.24300115,0.23197092,0.19918083,0.15862305,0.12071545,0.08870768,0.063305095,0.044458613,0.03194062,0.024486078,0.0200955,0.0169776,0.014084514,0.011173495,0.008473164,0.006324971,0.0049210535,0.004156841,0.0037557192,0.003446934,0.0031193162,0.0027897747,0.0025113905,0.0023145285,0.0023467967,0.00393918,0.01087052,0.029896578,0.0669421,0.12217096,0.18666466,0.2475454,0.2952615,0.32900813,0.35363078,0.3745958,0.39395413,0.41117612,0.42403927,0.4289987,0.42046082,0.39495167,0.35738406,0.3242977,0.3124007,0.3246006,0.34403482,0.35095748,0.33779708,0.31408498,0.2917839,0.27655432,0.26622343,0.25801003,0.25106344,0.2458176,0.24163914,0.23625542,0.22655277,0.21160829,0.19603129,0.19295211,0.21829338,0.28042242,0.3689878,0.45807472,0.51868373,0.53393525,0.50522864,0.45029667,0.3950266,0.36072695,0.35265136,0.3570468,0.35164496,0.32140312,0.26796934,0.20616893,0.15238973,0.114505224,0.090075076,0.07190304,0.054811712,0.038338907,0.024684757,0.015506272,0.010480847,0.009039201,0.013582997,0.030802175,0.068176,0.124939285,0.1880949,0.2366101,0.25625893,0.2465105,0.21900344,0.18613057,0.1556387,0.12970704,0.108100705,0.08970654,0.073409036,0.058717314,0.046913166,0.042079773,0.051340055,0.081289984,0.13189302,0.19263954,0.24603732,0.27781868,0.28391322,0.27164093,0.25259188,0.23627798,0.22415625,0.21066181,0.18797593,0.15365382,0.11266658,0.07464344,0.04895294,0.04328866,0.061790038,0.101656616,0.14985932,0.1876299,0.20096922,0.18866624,0.1605553,0.12893324,0.101764,0.08133865,0.066612855,0.055551942,0.046837527,0.040885728,0.04031449,0.048235565,0.06536006,0.08705941,0.105148174,0.112353064,0.10749507,0.09469211,0.07999899,0.06717504,0.0574543,0.050197672,0.044137105,0.037827436,0.03046936,0.02259285,0.016455878,0.01613232,0.026925817,0.05304712,0.09423088,0.1438923,0.19143547,0.22744031,0.2471304,0.25081545,0.24131082,0.223153,0.20122945,0.18073225,0.16473399,0.15394832,0.14696328,0.14391683,0.14840047,0.16672182,0.20040107,0.24179251,0.2746949,0.28696105,0.2766528,0.25369704,0.22833829,0.20707054,0.19009866,0.17683311,0.1666025,0.15914294,0.1531685,0.14737974,0.14199567,0.13888086,0.1388166,0.13934939,0.13554855,0.12422805,0.10604795,0.08461952,0.06350849,0.04496034,0.030167734,0.019636799,0.0131472275,0.0096279625,0.0077753733,0.006586794,0.005641319,0.0048717316,0.0043664314,0.0042629396,0.0047439286,0.0058906563,0.007429425,0.008668232,0.008843794,0.0077250283,0.0059667486,0.0059204516,0.012565414,0.03356811,0.07487315,0.1339391,0.1964692,0.2424249,0.2581348,0.24331398,0.20927113,0.16950208,0.133658,0.1051983,0.0839807,0.068509735,0.05881779,0.058462393,0.07424072,0.111176156,0.16463023,0.21872453,0.25362426,0.25937942,0.23965143,0.20801659,0.17646651,0.15212084,0.13492218,0.12109155,0.10492208,0.08372343,0.05929807,0.036813844,0.020544035,0.011701389,0.0086391745,0.00890037,0.010479309,0.012326111,0.014030547,0.015443022,0.016307535,0.016276855,0.015115563,0.012968805,0.010447804,0.009877443,0.016285356,0.03749897,0.07756486,0.13098438,0.18022132,0.20743017,0.20484333,0.18012464,0.14663991,0.11507085,0.08901939,0.068542846,0.052743137,0.040899675,0.03212941,0.026061175,0.023713922,0.028365618,0.043648094,0.07081587,0.10511416,0.13754052,0.1587144,0.16455966,0.1565528,0.13967444,0.1187943,0.09748503,0.07786136,0.060953632,0.047134876,0.037090413,0.033479314,0.04145379,0.06639729,0.10744172,0.15406953,0.18882929,0.19949608,0.18623745,0.16117294,0.13737527,0.12185351,0.11379766,0.10941863,0.10561787,0.101794064,0.0987891,0.09732068,0.09728057,0.09875672,0.10363495,0.114319466,0.13083215,0.1483745,0.16045369,0.16321667,0.15813775,0.14912093,0.13910693,0.12859723,0.11726543,0.10564143,0.095175825,0.087160885,0.08149231,0.07670772,0.07076784,0.06237985,0.05162586,0.03984906,0.028780557,0.01967686,0.013030957,0.009223749,0.00989591,0.018904107,0.041034546,0.07811275,0.12518279,0.17056556,0.20144783,0.21034525,0.1986963,0.17395951,0.1451398,0.11813665,0.095428765,0.07681503,0.06187883,0.05149731,0.0494874,0.06264155,0.09711665,0.15270908,0.21855204,0.27694812,0.31191823,0.31709188,0.2967582,0.261956,0.22532086,0.19571932,0.17507558,0.15841198,0.13923141,0.11489425,0.088276975,0.06440314,0.04663949,0.035350554,0.028921345,0.025377145,0.02315378,0.021411268,0.01974175,0.018000253,0.016051972,0.01386965,0.011570389,0.009441742,0.008000485,0.009851533,0.022010274,0.0569593,0.124687634,0.22201125,0.324873,0.39957127,0.4214226,0.3908459,0.32920757,0.2638205,0.21251845,0.17907868,0.15749724,0.13900279,0.117785186,0.093623914,0.07208251,0.06167091,0.06845228,0.09108602,0.12018929,0.14358611,0.15323399,0.14835657,0.1332943,0.113164924,0.09166637,0.07091773,0.052529484,0.037763845,0.027860172,0.02415453,0.028948287,0.04505373,0.073162906,0.10758517,0.13620655,0.14699598,0.13737084,0.11624277,0.097458504,0.09002183,0.094424374,0.10509344,0.11550477,0.12184169,0.1238884,0.12395888,0.124116264,0.12455878,0.123926826,0.121252425,0.11775276,0.11607175,0.119487196,0.12938315,0.14466262,0.16032046,0.17014241,0.16990353,0.1607951,0.14770152,0.13527,0.12459424,0.114031255,0.10200644,0.088942595,0.07661992,0.06627148,0.057539683,0.04913485,0.040266115,0.03137658,0.023530634,0.017783647,0.015275492,0.018326199,0.030012913,0.05173233,0.07985464,0.1055843,0.11915085,0.115516685,0.09708587,0.07132997,0.04633328,0.027072603,0.014856589,0.008339964,0.0055666124,0.0067709065,0.015942708,0.040116783,0.08060979,0.12768562,0.16089247,0.16536163,0.14144085,0.10490244,0.07157164,0.048533544,0.033928744,0.023993483,0.016767984,0.011751163,0.00866864,0.0070588696,0.0065971254,0.006978789,0.0077293366,0.008217238,0.007999491,0.0070742513,0.005833876,0.0046919384,0.0038405631,0.00322234,0.0027205104,0.002277454,0.0021756764,0.004664606,0.015545714,0.044452798,0.09786835,0.1721046,0.24896793,0.30630627,0.32930687,0.31944618,0.28809592,0.24860011,0.20879154,0.17171966,0.13769475,0.10705791,0.08108025,0.0626853,0.056203175,0.065707095,0.09124094,0.12621051,0.15864104,0.17757852,0.17861749,0.165174,0.14385374,0.12017405,0.09669002,0.074807584,0.05728217,0.050023347,0.06152166,0.09687132,0.1503462,0.20215839,0.22887051,0.21866572,0.18033548,0.13454174,0.09912225,0.07950587,0.07199654,0.070106335,0.06927792,0.06677166,0.06283085,0.061745364,0.07275042,0.103830434,0.15368226,0.2064625,0.24027725,0.24094242,0.2120595,0.17096575,0.13792337,0.12575145,0.13445091,0.15192306,0.16030037,0.14796166,0.11642137,0.0791556,0.05111951,0.041389745,0.049313456,0.06725121,0.083507515,0.0887759,0.07975716,0.060813546,0.03946824,0.022183312,0.011388089,0.0062719565,0.004542907,0.0040598246,0.003838429,0.0049781487,0.011125065,0.027377108,0.05523528,0.088919096,0.11564844,0.12467245,0.1139012,0.091006845,0.06568978,0.044212613,0.028062893,0.016780926,0.00958636,0.0057280697,0.00485925,0.008208781,0.019231038,0.0414281,0.07401142,0.10898254,0.13385713,0.13899826,0.12353592,0.095101774,0.064167626,0.038450327,0.020792944,0.010429368,0.00525666,0.0035730035,0.006329548,0.018648347,0.04996614,0.10632611,0.1828051,0.25889218,0.31048957,0.3223352,0.29762992,0.25028014,0.19630343,0.14575009,0.10358721,0.070937164,0.047234315,0.030769423,0.019627523,0.012178604,0.0073275226,0.004374404,0.0027814535,0.0020612355,0.0017780839,0.0016413665,0.0015170797,0.0013937246,0.0012996582,0.0012613876,0.001279412,0.0013365387,0.0013981619,0.0014339286,0.001433055,0.0015343273,0.0027638376,0.007998477,0.02230324,0.04981795,0.08931828,0.13114648,0.16177511,0.17141505,0.16018267,0.13568984,0.107164524,0.080343716,0.057371795,0.038817134,0.025264619,0.017552927,0.016430033,0.023384184,0.040936824,0.0708775,0.108798765,0.14225961,0.15591705,0.14363271,0.11307799,0.08046547,0.05771779,0.047158945,0.043574467,0.041184217,0.03694019,0.030888692,0.025405632,0.02478455,0.035052788,0.059106994,0.09308132,0.12371499,0.13737305,0.1275145,0.10222971,0.07812899,0.07340412,0.09476191,0.13371666,0.16825801,0.17849855,0.15825495,0.119378686,0.0812229,0.06022964,0.06225132,0.08251112,0.108051516,0.124634504,0.12350765,0.10575968,0.07953988,0.054447457,0.036004897,0.024837894,0.018242422,0.013518636,0.009307821,0.006183382,0.00684382,0.016580408,0.04194371,0.083523504,0.13152994,0.1668712,0.17551208,0.15664129,0.12326171,0.08922272,0.06232394,0.04287601,0.029033154,0.019171327,0.012499198,0.008946675,0.01024064,0.020621827,0.04461424,0.08201011,0.124437034,0.15818693,0.17246425,0.1654701,0.14372332,0.11605969,0.08892929,0.06526119,0.045914758,0.030871153,0.019822652,0.012401852,0.0100075975,0.018106183,0.04653937,0.10153637,0.17471568,0.23946412,0.2660792,0.24282543,0.18471925,0.119602956,0.06864014,0.03706042,0.0200319,0.010991515,0.0060662855,0.0033840842,0.0020528133,0.0014675647,0.0012478881,0.0011666128,0.0011186047,0.0010834405,0.0010585949,0.001050424,0.0010739014,0.0011762069,0.0014216587,0.00188161,0.0025255962,0.0032014279,0.003672434,0.0038858736,0.0040649194,0.004613946,0.0061659836,0.010311372,0.020588482,0.04131178,0.07392737,0.113138296,0.14804322,0.16811621,0.16950291,0.15599774,0.13492078,0.11250407,0.09184555,0.073782355,0.058239292,0.045414627,0.036864236,0.03613947,0.048136894,0.074293785,0.10806665,0.13480274,0.14106059,0.12446421,0.095602274,0.06913465,0.05339445,0.047648337,0.046201076,0.04425575,0.039898675,0.033678863,0.027524145,0.025467316,0.03468648,0.06369996,0.1154232,0.18048768,0.23798144,0.26724592,0.25997385,0.2251087,0.18161808,0.1493572,0.13903926,0.14908873,0.1656685,0.17258036,0.15996061,0.13048373,0.0950951,0.0668915,0.054482684,0.058982987,0.073940404,0.08891522,0.09544012,0.0906646,0.07738853,0.06057417,0.04473895,0.032169893,0.023289638,0.016957896,0.012079402,0.008521899,0.009347328,0.021171706,0.052156027,0.10349395,0.16364792,0.21069188,0.22721265,0.21155597,0.1771409,0.1401195,0.10942351,0.086378135,0.06889375,0.055630524,0.045835767,0.040623467,0.043488834,0.06184058,0.10118196,0.15923768,0.220686,0.26589012,0.2811571,0.2673051,0.23448117,0.19445252,0.15464008,0.11834689,0.08698093,0.061155435,0.041512128,0.029376207,0.029057756,0.047726184,0.09109893,0.15351252,0.21406178,0.24507777,0.23174131,0.18280344,0.122996785,0.074104555,0.0432526,0.026186645,0.016161015,0.009630053,0.0054560094,0.0034964643,0.005742075,0.01920419,0.056416545,0.12648042,0.22331004,0.3208188,0.38741478,0.40601608,0.38305044,0.33773348,0.28604025,0.23480016,0.18538816,0.13970976,0.10025021,0.06888341,0.045757934,0.032151014,0.032586236,0.055102687,0.1031935,0.16857885,0.22842717,0.25910345,0.2495572,0.20915659,0.15703394,0.11030123,0.07577242,0.052740883,0.03757206,0.027434513,0.021800607,0.023260534,0.037745662,0.07004555,0.1177527,0.16678052,0.19828671,0.19969966,0.17391543,0.13473372,0.09720445,0.06887752,0.050139125,0.0379797,0.029777585,0.02426579,0.022732092,0.029948525,0.053816706,0.09827163,0.15676212,0.21029617,0.23966408,0.23669095,0.20939492,0.17209871,0.13635518,0.106020845,0.08085809,0.05978371,0.04274031,0.029948646,0.022191674,0.022301696,0.037077513,0.074259765,0.13487528,0.20606203,0.2646108,0.2900721,0.2775807,0.23857717,0.19076185,0.14698383,0.111756735,0.084459186,0.06392304,0.049541797,0.040583953,0.03582083,0.035784964,0.043859433,0.06334522,0.09189314,0.119066775,0.13266627,0.12714714,0.107768096,0.08447701,0.06471091,0.04995821,0.038855866,0.030148864,0.024720566,0.025798792,0.039960522,0.07315173,0.12586235,0.18742795,0.24129637,0.2728032,0.2780439,0.26215667,0.23453546,0.20279445,0.17137663,0.14209174,0.11545534,0.0917376,0.07120759,0.054542873,0.043721274,0.043793697,0.06270348,0.10612217,0.17047642,0.23987782,0.29388,0.31844327,0.31317398,0.28736582,0.2523707,0.21554148,0.17987184,0.14599785,0.1142182,0.085473515,0.06253691,0.05125451,0.06119277,0.100603305,0.1692708,0.25225317,0.32632187,0.37167072,0.38324913,0.3687906,0.34068373,0.30793473,0.27432007,0.24060524,0.20673676,0.17399894,0.1457284,0.12680541,0.122539364,0.13523114,0.16275686,0.1956867,0.22207929,0.23190291,0.22413965,0.20418335,0.17982812,0.15550886,0.13275309,0.11172187,0.09286585,0.07744972,0.06912488,0.07572934,0.10688726,0.16593885,0.24241666,0.31436837,0.36117744,0.37525955,0.36264142,0.33465502,0.30090526,0.268235,0.24102779,0.2201501,0.2018656,0.18079661,0.15446806,0.12720439,0.10960407,0.11526901,0.15101163,0.21010888,0.2702539,0.30753267,0.30866182,0.2789903,0.23483676,0.1957481,0.17561316,0.17784955,0.192795,0.20264713,0.1929698,0.16147779,0.11943001,0.08388409,0.070584826,0.08590239,0.12549214,0.17388809,0.21354999,0.23043077,0.22085786,0.18896817,0.14530367,0.10091307,0.06451755,0.03923547,0.023753518,0.014746974,0.01090366,0.015245288,0.034843925,0.07500255,0.13098435,0.18561713,0.2175491,0.21628313,0.18755601,0.14765567,0.11009637,0.08080964,0.05914852,0.043140963,0.03107751,0.022018058,0.015737386,0.014318734,0.023266912,0.050687253,0.10007981,0.16423441,0.22351646,0.25793102,0.25785923,0.22968589,0.18714422,0.14310117,0.10425022,0.07282289,0.048779085,0.03133641,0.019692117,0.014980506,0.022320697,0.05149296,0.10919378,0.19070995,0.27414164,0.33195493,0.34523264,0.31547806,0.25897115,0.19586773,0.13980156,0.09591609,0.06373917,0.040765464,0.024934968,0.01565432,0.01562163,0.032540552,0.07707966,0.15471004,0.2547255,0.3495601,0.40738425,0.41220143,0.37095976,0.3058264,0.23764728,0.17785794,0.12903447,0.09035187,0.06049565,0.038432244,0.023828588,0.017994141,0.02467677,0.04756468,0.08613945,0.13162696,0.17008378,0.18939835,0.18679072,0.16816336,0.14273281,0.11692854,0.09325332,0.07210448,0.053900708,0.03960042,0.030904718,0.031190371,0.045874212,0.079437174,0.1280512,0.17672837,0.20463789,0.20037316,0.16854872,0.1264941,0.09022462,0.06779724,0.058697805,0.05845213,0.061300695,0.06212541,0.058353145,0.050744865,0.04381686,0.04434043,0.06010918,0.09384998,0.13972639,0.18139489,0.2022353,0.19349563,0.16076626,0.11767048,0.07944544,0.055771444,0.048810985,0.053149655,0.0591604,0.058767393,0.050803613,0.042846426,0.04857492,0.07885642,0.13378952,0.19677089,0.24364734,0.25445327,0.2273351,0.17544751,0.11905554,0.07267768,0.04188582,0.02433193,0.014984055,0.009610434,0.0060318564,0.0039146678,0.0048183384,0.012832273,0.03384768,0.06986687,0.11422986,0.1513521,0.16743211,0.15898968,0.13486055,0.10690478,0.08283616,0.06410888,0.04961942,0.038209688,0.02935044,0.02266218,0.018759197,0.020743271,0.03558849,0.07082423,0.128207,0.19666378,0.2555845,0.28495356,0.27825037,0.24325967,0.19542564,0.14739485,0.105950795,0.072767995,0.047624856,0.029580774,0.0179735,0.014379776,0.024894753,0.060238738,0.12720795,0.21895605,0.30998853,0.3699011,0.38002464,0.34501228,0.28400284,0.2180533,0.15952091,0.112644255,0.07674023,0.049971428,0.03083945,0.019515475,0.019946447,0.040937934,0.09252746,0.1758595,0.27544472,0.36255297,0.4113864,0.41299734,0.37682006,0.32014382,0.25765923,0.1978812,0.14474706,0.10030854,0.06553257,0.040936258,0.027789803,0.029805383,0.052501887,0.09740478,0.15646887,0.21183188,0.24618132,0.25227955,0.23596717,0.20817803,0.17768592,0.14802329,0.12010888,0.094421186,0.07186335,0.053705286,0.043002333,0.04579845,0.06978746,0.11596677,0.17202549,0.21364494,0.22099875,0.19243024,0.14591043,0.103861,0.07904372,0.07072445,0.070457995,0.07011471,0.06543007,0.05669355,0.047686752,0.045771718,0.061793182,0.1044366,0.17217736,0.2474132,0.30451944,0.3239,0.3032742,0.25695035,0.20704187,0.17488651,0.17040272,0.1887636,0.21020448,0.21524067,0.19446403,0.15536149,0.11320895,0.084436886,0.07903311,0.09871864,0.13609803,0.17757505,0.2097975,0.22359546,0.21645135,0.1902947,0.15161423,0.108912624,0.07080572,0.042169973,0.023640282,0.012943581,0.008586187,0.01284137,0.03291094,0.07572943,0.13925116,0.20648094,0.25318417,0.26314232,0.23916788,0.1977752,0.15618923,0.1228517,0.09826863,0.07978099,0.06487254,0.051905345,0.040093485,0.030937389,0.029237753,0.043266505,0.079531126,0.13616616,0.19868214,0.24651003,0.2642189,0.25014374,0.21395452,0.16892838,0.1250458,0.08752123,0.05802092,0.036387503,0.022120802,0.016439004,0.024235344,0.052893292,0.10583439,0.17493872,0.24001242,0.27925563,0.28248343,0.2555073,0.21307999,0.16821317,0.12776093,0.093477964,0.06560907,0.04388647,0.028019853,0.01782908,0.015968801,0.029984236,0.07171253,0.14670111,0.24504514,0.338523,0.39823082,0.4096414,0.38061032,0.3281126,0.267973,0.20826106,0.15365608,0.10699165,0.07037609,0.043895636,0.026744649,0.019084245,0.023806162,0.045435537,0.08388898,0.13064487,0.16935213,0.18723726,0.18112414,0.1591744,0.13146654,0.10581356,0.08494451,0.06936515,0.057852764,0.048870336,0.0413001,0.036441218,0.03854939,0.0529352,0.07945469,0.1090465,0.12646793,0.122314066,0.09928825,0.06997544,0.045368344,0.02937238,0.019736506,0.013483147,0.009101769,0.0062284195,0.0047812057,0.005873875,0.01324219,0.032975033,0.06827057,0.11344901,0.15340751,0.17273961,0.16675733,0.1431521,0.114598125,0.088876285,0.06785834,0.050121266,0.03519808,0.023208454,0.014511182,0.009365887,0.010713582,0.026120149,0.0669109,0.13733079,0.2257309,0.30290237,0.34129438,0.33117023,0.28737387,0.23342383,0.18723084,0.1534496,0.12885882,0.10877874,0.09089992,0.07523402,0.062227037,0.052987512,0.050201666,0.058790565,0.08076926,0.11088165,0.13611071,0.14530058,0.1362497,0.11698139,0.09706376,0.08198408,0.0716036,0.06405366,0.05752228,0.052314296,0.05151662,0.062504075,0.09203926,0.14004709,0.19443406,0.23716985,0.2548935,0.24585319,0.21834774,0.18251835,0.14702496,0.116087675,0.092097305,0.07452057,0.062290728,0.05365226,0.04878853,0.051490348,0.069761,0.11091063,0.1728021,0.24093334,0.29527408,0.32419738,0.32942834,0.3209989,0.3073925,0.2913096,0.2730217,0.25193644,0.2296498,0.20624685,0.18321794,0.16278638,0.1527577,0.16282666,0.19802833,0.25078025,0.3024361,0.33587834,0.3453401,0.33782718,0.3235983,0.30958715,0.298288,0.28969952,0.2830003,0.27486992,0.2614253,0.24051605,0.21624328,0.19847386,0.19697236,0.21469611,0.24410963,0.27413252,0.29657498,0.31162012,0.32265517,0.33236012,0.33948925,0.34261033,0.3418511,0.33979192,0.33739784,0.33341682,0.3252469,0.31485555,0.30886614,0.31291237,0.32298437,0.32554993,0.30959412,0.27750382,0.24545777,0.23020537,0.23758435,0.26021412,0.284808,0.30102476,0.3038242,0.2923955,0.2690933,0.24441324,0.23906606,0.27521542,0.35822105,0.46710548,0.5648051,0.6229542,0.6343608,0.61110944,0.56803316,0.51637554,0.46108153,0.40512374,0.35062203,0.29820272,0.24790339,0.20054942,0.16313505,0.14853626,0.16601753,0.20942156,0.25312448,0.27013114,0.2493688,0.2038668,0.15438403,0.11499414,0.086275935,0.063564174,0.043616932,0.027019331,0.015225195,0.009131902,0.010765844,0.02606406,0.06405541,0.12886252,0.21232176,0.29330385,0.3503208,0.37329844,0.36806354,0.34790322,0.32392526,0.30054358,0.2767886,0.25102726,0.22258158,0.19469458,0.17396587,0.17205697,0.19748998,0.25046763,0.3154765,0.37349603,0.40917933,0.42107186,0.41210118,0.3885633,0.35424212,0.31436095,0.27173996,0.22913502,0.18859883,0.15314229,0.12510815,0.10827241,0.11175715,0.14819996,0.22335131,0.32285103,0.41420785,0.4641588,0.45932257,0.41100526,0.34199932,0.27131626,0.20714481,0.15174727,0.10556861,0.071438454,0.05551705,0.06960999,0.12443396,0.21894228,0.32976732,0.41977987,0.45841846,0.44099006,0.38632858,0.31896335,0.25363576,0.19381185,0.14012063,0.09469652,0.060195837,0.036844958,0.023457399,0.019957436,0.02904436,0.054029804,0.09484733,0.14377563,0.18739748,0.21264976,0.21507196,0.19927044,0.17461579,0.14822556,0.12340805,0.10066541,0.08020099,0.062494293,0.048737314,0.041904736,0.048045095,0.07550107,0.12809473,0.19709189,0.2598708,0.2927074,0.2882181,0.26070407,0.23425703,0.2233799,0.22667831,0.23317726,0.2347809,0.22912104,0.21689315,0.19926389,0.18102479,0.17373616,0.18873335,0.22715163,0.2723154,0.3009099,0.29585427,0.25837967,0.20305245,0.15029804,0.11589538,0.10511377,0.11073726,0.11712378,0.11132553,0.090559535,0.064600654,0.048814405,0.057960045,0.09720381,0.15818931,0.21886058,0.25679854,0.26134405,0.23931362,0.20451975,0.16775393,0.13210903,0.09787468,0.066282935,0.040221963,0.021736264,0.010754173,0.0058359858,0.0072664483,0.018965408,0.04741809,0.09383301,0.14920616,0.19475152,0.21495496,0.2058723,0.17707397,0.14133169,0.10783774,0.07967401,0.057015438,0.039392956,0.026504157,0.018098474,0.015354837,0.022556582,0.047763348,0.09616247,0.16294707,0.2307844,0.28136516,0.3071906,0.31447393,0.31272092,0.30587682,0.29254553,0.27220336,0.24819686,0.22511935,0.20501828,0.18853259,0.17921884,0.18875088,0.22993845,0.30674016,0.4019413,0.48654923,0.5323773,0.5303779,0.48876253,0.42769435,0.36439785,0.3073268,0.25494295,0.20381181,0.15421183,0.11176008,0.085022986,0.08516159,0.12260542,0.19939558,0.30051315,0.39609134,0.45710686,0.47098354,0.44762918,0.4068029,0.36454424,0.32282516,0.27628788,0.22093292,0.16153978,0.107961066,0.070629,0.057433505,0.07323129,0.116716124,0.17647116,0.23298974,0.26740405,0.27228162,0.25330672,0.22317684,0.19212084,0.16442107,0.13988623,0.1175149,0.0972718,0.08005755,0.068160124,0.06637978,0.08247193,0.122579955,0.18230058,0.24298394,0.27936685,0.27879336,0.25059047,0.2205581,0.20996135,0.22297232,0.24706094,0.26576963,0.26900122,0.25511518,0.22903757,0.20060606,0.1856307,0.19906946,0.24396773,0.30328354,0.3485236,0.35753092,0.3267963,0.270585,0.21066576,0.16878672,0.15748751,0.17543875,0.20411438,0.21952997,0.20543194,0.16523136,0.11762929,0.08708771,0.090868264,0.13115184,0.19330435,0.25284886,0.28984737,0.29816905,0.28504845,0.2609943,0.23257434,0.20141852,0.16752751,0.1320383,0.097401194,0.06682205,0.04375519,0.032575298,0.039173845,0.06783558,0.116315804,0.17211016,0.21794629,0.24086808,0.23940252,0.22128683,0.19672686,0.17307435,0.15322936,0.13750903,0.12461704,0.113330126,0.10256675,0.094371535,0.09628468,0.12302089,0.18713312,0.28768036,0.40206304,0.49806237,0.55134124,0.55991644,0.539952,0.51287013,0.49191323,0.47812656,0.46616772,0.4519806,0.4347329,0.41226318,0.37980112,0.3377221,0.29985633,0.28934076,0.3212109,0.38591373,0.45288828,0.48953512,0.48291543,0.44167876,0.38479006,0.32596967,0.27029565,0.21781413,0.16912472,0.12618151,0.09253666,0.07381966,0.079462916,0.1186589,0.19349809,0.29083636,0.38523746,0.44964337,0.46969128,0.44863594,0.4016542,0.34565958,0.2912188,0.2420435,0.19700499,0.15445524,0.114257164,0.07899239,0.053720225,0.044468846,0.05615067,0.086953126,0.12643112,0.15682049,0.16465211,0.14757693,0.11701282,0.08824862,0.0733925,0.0748401,0.08726712,0.10002687,0.10437458,0.097253524,0.0845021,0.07690209,0.08543079,0.11195332,0.1467401,0.17108065,0.1713149,0.14657305,0.10939494,0.07364621,0.04723097,0.030009324,0.019104542,0.012017574,0.0076450463,0.0053659696,0.0059357495,0.013371572,0.036098,0.08124203,0.14618926,0.21315259,0.2583696,0.26702073,0.24320836,0.20355518,0.16434476,0.13287883,0.10869452,0.088839434,0.07146541,0.0563785,0.04419605,0.035797108,0.034644734,0.04786229,0.08642999,0.15299638,0.23634548,0.30773482,0.34331098,0.3342943,0.29554412,0.24595535,0.20034428,0.16194601,0.13048768,0.10449693,0.08340442,0.06615695,0.05173856,0.04120783,0.04017553,0.059060227,0.10656395,0.17942183,0.25703156,0.3098568,0.31770125,0.281626,0.22227214,0.1644655,0.12585202,0.109642416,0.109070845,0.11162139,0.10845852,0.09722521,0.08414792,0.07856918,0.08866315,0.11457187,0.14789756,0.17450671,0.18429619,0.17533304,0.15516232,0.13469456,0.12561522,0.13403195,0.15748094,0.18320107,0.19638531,0.18937294,0.16659583,0.140275,0.1232442,0.123001315,0.13871457,0.16163911,0.1794792,0.18362361,0.17316426,0.15488146,0.13842355,0.1323284,0.13871597,0.15208207,0.16108382,0.15702283,0.13967948,0.11950597,0.11182631,0.12957472,0.17538019,0.23876639,0.30095717,0.34491512,0.3644017,0.3637731,0.35235116,0.3368596,0.31933364,0.2973739,0.26822522,0.23107982,0.18947083,0.14915092,0.11727222,0.10110103,0.10843003,0.14263998,0.19748183,0.25530165,0.2966888,0.31132415,0.30350453,0.28516614,0.267331,0.25437778,0.24626903,0.24168979,0.24027257,0.24085794,0.24031405,0.23666643,0.23364495,0.24250261,0.27007735,0.31107578,0.34545413,0.35737228,0.34394112,0.31827846,0.29477635,0.28149083,0.27698064,0.27380863,0.26430783,0.24326785,0.21218382,0.17886643,0.15821767,0.1645294,0.20215671,0.25713456,0.30395842,0.31984237,0.29930547,0.25553164,0.21411526,0.19885248,0.22033723,0.26645064,0.3108355,0.32627726,0.30390605,0.2528454,0.19579816,0.15466852,0.14581507,0.17160076,0.22102197,0.27114245,0.30097172,0.29972962,0.27177715,0.22798605,0.17977117,0.13423137,0.09600261,0.06720755,0.047972187,0.037242968,0.036251668,0.050491124,0.08581406,0.13991974,0.19735892,0.236358,0.24278791,0.21906859,0.17956464,0.13915493,0.10524371,0.07848856,0.056843136,0.03907713,0.025044054,0.015304335,0.01088129,0.015006875,0.034339722,0.076389976,0.1412377,0.21567285,0.27652183,0.30463186,0.29533312,0.25855756,0.2092312,0.15927577,0.11530885,0.079812504,0.053020045,0.03372572,0.020637218,0.014844245,0.022934785,0.05826543,0.13151664,0.23694293,0.34388575,0.4125172,0.41868064,0.3699437,0.29405737,0.21813212,0.15500307,0.10623932,0.06940361,0.04261523,0.024333851,0.012926943,0.0065701553,0.0036112869,0.0026349423,0.0025682275,0.0027342883,0.0028236841,0.0027621274,0.0025842153,0.002360599,0.0021699194,0.0020796529,0.002131827,0.0023524698,0.0027260967,0.0031820545,0.0035691594,0.0037558358,0.003925584,0.005953414,0.0149577325,0.039587636,0.086661406,0.15395431,0.2258783,0.2810744,0.30443993,0.2960885,0.2674458,0.23226635,0.1988884,0.16998465,0.14508484,0.12341034,0.10422342,0.08707562,0.072726645,0.06530257,0.07221576,0.098604254,0.13890116,0.17513283,0.18710327,0.16826572,0.12995377,0.09227084,0.06832028,0.05941191,0.058569428,0.058765005,0.056714635,0.055236932,0.06324049,0.092633694,0.14886749,0.22284372,0.29088295,0.32874563,0.324744,0.28540206,0.22784375,0.17206858,0.13482288,0.1241234,0.13521893,0.15042032,0.15168352,0.13124718,0.09749777,0.06638526,0.05351078,0.066540964,0.10255966,0.1470717,0.17979373,0.18583135,0.16416894,0.12633522,0.086670615,0.054367527,0.031779077,0.017701069,0.010018176,0.0067423377,0.005940395,0.0065561845,0.010178226,0.021647854,0.046324115,0.08262786,0.11954149,0.14084446,0.13860051,0.117051594,0.08926197,0.0647761,0.046869412,0.033686947,0.023692386,0.016116304,0.010871046,0.007815298,0.008413623,0.017175829,0.041787386,0.08696208,0.14746703,0.20494036,0.23821086,0.23586106,0.20385051,0.15779439,0.11276069,0.07589962,0.048477035,0.029012864,0.016110912,0.008438401,0.0052886554,0.008960624,0.027106792,0.0722596,0.15041481,0.25041613,0.33969688,0.38394964,0.36700472,0.30272272,0.21999055,0.14514387,0.08957536,0.053078663,0.030499479,0.016974831,0.010828178,0.015416663,0.040275723,0.094295464,0.17533325,0.26282614,0.32668844,0.34498754,0.3171358,0.26054862,0.19703269,0.14159621,0.099326104,0.069099925,0.047639504,0.03258654,0.022673525,0.017967794,0.019976791,0.0325538,0.059101954,0.09825957,0.13991846,0.16964926,0.17653619,0.16061117,0.13053232,0.097307034,0.067861274,0.04462615,0.027507314,0.015962396,0.009358792,0.007144748,0.0104456665,0.023552896,0.052937776,0.09974704,0.15331338,0.1922246,0.19876486,0.17180914,0.1275488,0.08612206,0.05887969,0.04600744,0.04170433,0.040236104,0.03807697,0.035478916,0.03714469,0.052421134,0.08960054,0.14877856,0.21547805,0.26695684,0.28342488,0.26095042,0.21187085,0.15857247,0.122769885,0.11529411,0.13158363,0.15203954,0.15671138,0.13602604,0.09965993,0.06619003,0.054277495,0.069309406,0.1032301,0.13648942,0.15155661,0.14128843,0.112781264,0.0786839,0.049300056,0.02826512,0.014970035,0.0073620616,0.0035277775,0.0019308584,0.0014403518,0.0015318854,0.003569146,0.012059751,0.03434271,0.07397627,0.123975694,0.16596588,0.18222205,0.16829897,0.13542302,0.099912964,0.07176685,0.052474875,0.03921702,0.029574363,0.022285799,0.017603071,0.018741475,0.032764226,0.06779875,0.12415566,0.1894939,0.241147,0.26155367,0.24689579,0.20901889,0.1627534,0.11953447,0.08343787,0.05559651,0.035356034,0.021816773,0.01345808,0.010087203,0.015185622,0.037747122,0.08671441,0.16155832,0.24421696,0.30689943,0.3276182,0.3045185,0.25230107,0.19120364,0.13519244,0.09066806,0.058138113,0.035988472,0.021645399,0.013318747,0.012199854,0.025079748,0.06471904,0.14117068,0.25035456,0.36609614,0.4528834,0.484583,0.4609159,0.4000167,0.3255424,0.25270632,0.18890665,0.13586013,0.093938746,0.062358517,0.039987866,0.026274929,0.022980502,0.035527468,0.06908163,0.121942975,0.17980783,0.2217016,0.23184223,0.21015765,0.1693893,0.12560813,0.08889713,0.062187478,0.043831002,0.031203637,0.023777878,0.025343062,0.044885527,0.089250706,0.15511088,0.22317235,0.26911798,0.27712443,0.25035805,0.20440663,0.15646823,0.11636275,0.08628568,0.06432104,0.04781666,0.035094973,0.026545906,0.025658498,0.03981291,0.07513931,0.13051082,0.1914909,0.23785593,0.2533281,0.23680405,0.19873025,0.15449058,0.114527576,0.0831039,0.05946982,0.041904032,0.029111704,0.02089302,0.019726768,0.03271788,0.070746206,0.13860287,0.22574222,0.30521706,0.35068867,0.35247204,0.3224466,0.2803295,0.23997734,0.20429794,0.17052393,0.13655554,0.10335907,0.073885016,0.051842917,0.041512176,0.04847552,0.07536751,0.11762384,0.16032314,0.18730295,0.18993069,0.17334099,0.14859056,0.12543488,0.10702736,0.09297422,0.08174145,0.072637506,0.06713004,0.07060186,0.09366033,0.14526276,0.22467573,0.31391433,0.38790193,0.4271387,0.43097973,0.4107522,0.3812114,0.34942308,0.31749055,0.28424847,0.25030008,0.21682847,0.18575232,0.15894508,0.13991655,0.13658588,0.15964335,0.21568817,0.29777312,0.38535175,0.45552194,0.49663284,0.51156443,0.5105997,0.5021119,0.49076188,0.4780697,0.4647411,0.4499416,0.43358275,0.41892388,0.41340217,0.42465553,0.45331207,0.4904176,0.5216188,0.5365818,0.5340151,0.52041525,0.5034036,0.48770294,0.47394755,0.46070123,0.44589522,0.42716232,0.40286577,0.37230834,0.33885893,0.30961254,0.29480615,0.30029634,0.32343134,0.35239986,0.37583175,0.39004013,0.4007934,0.41547516,0.43760607,0.46497345,0.49444866,0.5231363,0.54996294,0.57082516,0.5796949,0.56885153,0.5385844,0.49979153,0.4700468,0.4596571,0.4627733,0.46406046,0.45030212,0.4208753,0.3827846,0.34582853,0.31568208,0.29498348,0.28281322,0.27771613,0.27929664,0.2924054,0.32602456,0.38740447,0.47115812,0.5578795,0.62241834,0.65080625,0.64446354,0.61670417,0.5790257,0.53833985,0.4970964,0.45919523,0.4292257,0.40888926,0.3954997,0.38455233,0.3782817,0.38588873,0.4184816,0.475269,0.5413018,0.59402126,0.6196194,0.6178133,0.5984363,0.5702649,0.5388262,0.5068492,0.4775484,0.45170954,0.4247365,0.38740063,0.33425593,0.27445498,0.2326814,0.23379771,0.2826232,0.355979,0.42001152,0.45233288,0.45447552,0.44074237,0.42479908,0.41120243,0.3996652,0.388955,0.37881467,0.36868522,0.35693046,0.34209844,0.32371104,0.30336973,0.28330097,0.2651966,0.24903214,0.23369114,0.21819712,0.20236658,0.18667932,0.17154783,0.15716417,0.14358087,0.13080128,0.118881494,0.10869374,0.10500777,0.117738724,0.15986788,0.23587584,0.33498144,0.43141612,0.502399,0.5395197,0.5519915,0.55218357,0.5474815,0.53698707,0.519764,0.49643683,0.4710541,0.4449472,0.41921988,0.39338124,0.37000263,0.3502853,0.33437875,0.31999335,0.30600584,0.29288802,0.2806957,0.26816735,0.2518243,0.22907089,0.1985219,0.16275418,0.12744173,0.100027174,0.08718685,0.09423768,0.12576634,0.18152635,0.25272205,0.32124448,0.37076458,0.3952231,0.40165338,0.39966798,0.39510068,0.3871672,0.37415242,0.35519317,0.3318815,0.3063456,0.28096065,0.25689608,0.23498821,0.2176977,0.21121329,0.22116192,0.2457184,0.27192143,0.2842891,0.2768499,0.25830087,0.24531986,0.24932308,0.27054584,0.29767504,0.3183409,0.32466248,0.3175718,0.30234456,0.28768596,0.28472066,0.3041424,0.3489217,0.40827522,0.4634374,0.4986196,0.5098626,0.50252306,0.48462018,0.46244398,0.43953732,0.41842827,0.40004504,0.38465774,0.37092364,0.35785642,0.34719178,0.3466654,0.36742485,0.4159346,0.4851842,0.5552757,0.6037016,0.61754686,0.59842664,0.5579836,0.5105131,0.46636748,0.4303925,0.4021263,0.37817404,0.35295185,0.32161435,0.2836178,0.24742359,0.22737336,0.23357667,0.2621394,0.29591903,0.31795064,0.32119498,0.31076095,0.29448894,0.2779033,0.26220325,0.24712728,0.23246159,0.21821459,0.20483565,0.19242905,0.1809073,0.16968083,0.1579768,0.14538886,0.13193798,0.118525214,0.1062082,0.096026756,0.08819449,0.082148455,0.07662183,0.07039806,0.063075885,0.05570982,0.05104256,0.054732006,0.07485388,0.120046146,0.19009833,0.27337515,0.34743837,0.39617702,0.41502273,0.4137921,0.40298578,0.3904371,0.37859055,0.36863002,0.3610457,0.35578537,0.35248497,0.35054755,0.34890744,0.3462015,0.34060407,0.33154178,0.3192821,0.30484486,0.2886412,0.27084723,0.25221676,0.23398985,0.21677513,0.19939022,0.17937027,0.1550294,0.12706728,0.10000593,0.081586815,0.08182624,0.10822499,0.16057758,0.2273217,0.29009983,0.33321014,0.35135487,0.34966412,0.33750138,0.3232317,0.31192997,0.3062961,0.30697152,0.31282946,0.32089695,0.32703826,0.32753435,0.32150877,0.3129299,0.30870143,0.3128809,0.32113683,0.32293662,0.30982578,0.28270215,0.24981864,0.22082709,0.20134777,0.19403096,0.19807251,0.21019101,0.22321016,0.22975136,0.22545134,0.2134211,0.20468779,0.2132837,0.24754514,0.3020267,0.36001554,0.4030929,0.42222345,0.41966626,0.4036273,0.38203168,0.3594072,0.33799347,0.31792676,0.29825154,0.27714238,0.2545294,0.23440178,0.22510087,0.23441036,0.26253116,0.29913387,0.32878017,0.34007502,0.33112407,0.30760145,0.2771977,0.24541086,0.21484828,0.1864906,0.16102614,0.13851155,0.11935428,0.1054144,0.102405004,0.116716266,0.1508491,0.19877486,0.24862868,0.2887403,0.31281796,0.32114336,0.31789497,0.30865082,0.29747522,0.28610626,0.27439544,0.26187763,0.24881132,0.23571382,0.22268437,0.20949353,0.19582433,0.1820799,0.16895463,0.15729827,0.14725743,0.1378687,0.12816967,0.11760473,0.10708978,0.0971482,0.088107,0.079648025,0.07233348,0.06823656,0.071822256,0.08983932,0.12793678,0.18576038,0.25380272,0.3173878,0.364486,0.3914887,0.4020413,0.40210223,0.39561057,0.38451645,0.36973763,0.35264325,0.33403632,0.31439593,0.29376617,0.2726624,0.25183916,0.23210579,0.21416412,0.19851685,0.18520637,0.17367469,0.16306835,0.1527072,0.1423583,0.13239057,0.12385359,0.11807734,0.11714623,0.12496539,0.14881192,0.19487262,0.2616477,0.33422458,0.39286968,0.42556533,0.4369508,0.43967676,0.4435182,0.45289156,0.47411823,0.51591414,0.57585675,0.6308267,0.64569527,0.6004121,0.5063368,0.40189102,0.32732463,0.30372313,0.3232634,0.3580277,0.37622964,0.35889614,0.30699277,0.23655273,0.16796745,0.115001984,0.08158296,0.06359349,0.054579124,0.04952546,0.046544503,0.04816166,0.062236268,0.10262617,0.18004012,0.29105946,0.40878463,0.49593893,0.52533597,0.49802753,0.43627784,0.36572477,0.30055967,0.24349105,0.19366302,0.15090592,0.116255276,0.08987797,0.0727625,0.06990084,0.09356791,0.16098821,0.2820033,0.44365945,0.6035771,0.70744944,0.71784234,0.6368893,0.5008636,0.35764456,0.24181622,0.16566578,0.123641975,0.10337946,0.09517929,0.09745269,0.118636616,0.17313011,0.26907682,0.394434,0.5127366,0.5814174,0.5768543,0.5100592,0.41394868,0.32105872,0.24672765,0.19125368,0.1496321,0.11887896,0.09958059,0.09408433,0.10396537,0.12685764,0.15493868,0.17852211,0.19166206,0.19522548,0.1935585,0.18960941,0.18317664,0.17284082,0.1584356,0.14128569,0.12345933,0.10687545,0.09359252,0.0870746,0.09319671,0.119392745,0.16892342,0.23600781,0.30407283,0.35507706,0.3782722,0.37690994,0.3615115,0.34305522,0.3261315,0.31129596,0.29763183,0.2851631,0.27393734,0.2631108,0.25253996,0.24503475,0.24721153,0.2641951,0.29412797,0.32694933,0.35198018,0.365236,0.36998835,0.3711742,0.3697188,0.3637503,0.35011968,0.32740667,0.29520175,0.255766,0.21421272,0.17854168,0.15784216,0.15891592,0.18244888,0.22045016,0.25938728,0.28783286,0.30271378,0.30893442,0.3130388,0.31858742,0.32527065,0.33176592,0.3366975,0.33821675,0.33285594,0.3180405,0.2970974,0.28198457,0.28644076,0.31428647,0.35236946,0.3799709,0.3828795,0.36380228,0.33544788,0.31190535,0.29853082,0.2942315,0.29252052,0.2887756,0.280023,0.26732606,0.2536077,0.24594726,0.25361022,0.28349033,0.33276597,0.38782117,0.43015537,0.4448773,0.42571786,0.37755862,0.31634793,0.26471454,0.2406259,0.2464758,0.26716378,0.2803868,0.27141193,0.24102162,0.20355962,0.17574637,0.16786528,0.17869113,0.20014893,0.2218024,0.23680246,0.2419991,0.23819298,0.22742559,0.21217187,0.19427319,0.17529856,0.15625806,0.13764404,0.12044224,0.108827524,0.111332096,0.13748364,0.18927425,0.25652167,0.32021797,0.36499968,0.38616088,0.3895804,0.38295355,0.37155578,0.35690627,0.3396746,0.32039976,0.29981866,0.27862835,0.25771195,0.23845375,0.22196908,0.20853998,0.19679312,0.18463695,0.16979347,0.1512099,0.12910677,0.105620086,0.08374274,0.06645013,0.054953128,0.04858384,0.04534708,0.04338942,0.04171549,0.040173247,0.03885759,0.037643116,0.0361604,0.0341306,0.031581305,0.028911943,0.02637828,0.024060296,0.021750862,0.019703738,0.01836955,0.018321233,0.01947991,0.021436922,0.02347569,0.024886923,0.024960956,0.023389414,0.020538887,0.017201895,0.01408381,0.011384114,0.009011789,0.006813383,0.0048312605,0.0032122338,0.0021117553,0.0015249661,0.0013040655,0.0012962323,0.0014803814,0.0019491181,0.0027482205,0.0037493855,0.004687674,0.0053220973,0.0055911173,0.005605487,0.005524324,0.005417433,0.0052538738,0.0049830037,0.0046112635,0.004182506,0.003716375,0.0031973028,0.002646284,0.0021804909,0.0019688813,0.0021038328,0.0024923873,0.002892963,0.003060301,0.0029190734,0.0025762736,0.0022236728,0.0019832181,0.0018819034,0.0018865243,0.0019640306,0.002084402,0.0022515904,0.0025476443,0.0031493392,0.0041582403,0.0054374146,0.0065888297,0.0072982167,0.007588318,0.0078094206,0.00824184,0.008879757,0.009510758,0.010039627,0.010572462,0.011256206,0.011988754,0.012411122,0.012147357,0.011151709,0.009763178,0.008449399,0.007493002,0.006963871,0.006948385,0.0076439693,0.009120201,0.011049848,0.012764764,0.013711859,0.013823576,0.013717875,0.0145566305,0.0176777,0.023892066,0.03279905,0.042748805,0.051486474,0.057199523,0.058965046,0.056778114,0.051293116,0.04399535,0.037298333,0.034020558,0.03596458,0.04223543,0.049210444,0.05219789,0.04867487,0.039551836,0.02860459,0.019431014,0.013782485,0.011059732,0.009817235,0.008798383,0.007615609,0.0064436016,0.0056918543,0.005557286,0.005937811,0.0064465,0.0067146793,0.006560391,0.0060726856,0.0054300297,0.0047720927,0.0041376636,0.003536525,0.002996182,0.0025553955,0.0022332808,0.0020144607,0.0018723803,0.0017821394,0.0017283806,0.0016939322,0.0016675828,0.0016381313,0.0016071792,0.0015791262,0.0015784241,0.0016530445,0.001888041,0.0023740488,0.003159846,0.004255436,0.005653352,0.007329499,0.009001848,0.01011978,0.010016929,0.0085791545,0.006296757,0.004121303,0.002766964,0.0026645677,0.003869652,0.006174531,0.00896003,0.011329205,0.012441574]