[0.027095973,0.025097946,0.021245137,0.01747405,0.015019774,0.01396225,0.013592607,0.0131796645,0.012327558,0.011347684,0.0115324855,0.01494259,0.02327907,0.036539245,0.052737307,0.06904961,0.08320563,0.094385035,0.10302762,0.110708944,0.118849434,0.12805755,0.13727388,0.1451379,0.15061624,0.1537451,0.15471941,0.1539246,0.1517839,0.14906436,0.1470824,0.1482109,0.15652496,0.17529787,0.20426387,0.23689155,0.2648361,0.2824259,0.29064554,0.29337084,0.29416645,0.29405332,0.29451573,0.2978356,0.30667815,0.3200636,0.3348682,0.34702024,0.35516822,0.358909,0.35699043,0.34608412,0.32213196,0.2849432,0.23928012,0.19457974,0.1585856,0.13440488,0.11943554,0.1093962,0.10090172,0.09272947,0.08508692,0.07888988,0.07493801,0.07298949,0.07158492,0.06974452,0.06929207,0.07515272,0.09116235,0.11541891,0.1390488,0.15120149,0.14509623,0.12190286,0.09032159,0.06342057,0.053315718,0.064821176,0.092716314,0.12443016,0.14845838,0.15996163,0.1615745,0.15815772,0.15316768,0.1473671,0.14070429,0.13336366,0.12572964,0.11750776,0.10732404,0.094254345,0.079400845,0.06725156,0.06330701,0.07141585,0.090390444,0.114703305,0.13672312,0.15091015,0.1556325,0.152598,0.14435276,0.13269092,0.11881808,0.1041826,0.09059128,0.079692245,0.072660364,0.07049373,0.07427741,0.08512655,0.10329294,0.12689053,0.15111029,0.16960728,0.17776291,0.17525496,0.16565262,0.15342666,0.14156584,0.13114007,0.12217737,0.11412189,0.105987765,0.096803874,0.08610752,0.07416781,0.06261658,0.055262983,0.057162654,0.0696111,0.08612877,0.09449353,0.08633233,0.06389171,0.03872062,0.023352772,0.02532968,0.045159876,0.07748691,0.112672485,0.14106824,0.15724818,0.1621307,0.16016251,0.1555957,0.15026398,0.14400943,0.13572475,0.12429872,0.10930207,0.09169981,0.07374642,0.058460806,0.0487505,0.047342803,0.056027096,0.07392835,0.09562886,0.112609364,0.11802369,0.111255474,0.09805146,0.0868992,0.08520081,0.09622743,0.118093096,0.14363421,0.16498147,0.17738052,0.18189692,0.18266006,0.1844367,0.19094884,0.20377362,0.22168529,0.23980619,0.2531567,0.25909302,0.2591778,0.2562431,0.25219247,0.24750376,0.24238674,0.23796333,0.23502783,0.23372684,0.23302309,0.232215,0.2310019,0.2295249,0.2270329,0.22191226,0.21252714,0.1989765,0.18363802,0.16977096,0.15974616,0.15395981,0.15166299,0.15158816,0.1525363,0.15328227,0.15296014,0.1511509,0.14789474,0.14333868,0.13779302,0.13165723,0.12560336,0.12005669,0.115270495,0.1109942,0.10718163,0.10372841,0.100605845,0.097231604,0.09302928,0.08762545,0.08098699,0.07259965,0.061675142,0.04808343,0.033563677,0.020932624,0.012413259,0.008191842,0.0069884392,0.0072449464,0.008095902,0.00931045,0.010968227,0.013149783,0.015809724,0.018702894,0.02134972,0.023079919,0.02343697,0.022818958,0.023241451,0.027683966,0.038634215,0.05579557,0.07613273,0.09526078,0.110533535,0.12198454,0.13148177,0.13954835,0.14424402,0.14236005,0.13400653,0.123982735,0.120141745,0.12696601,0.14311706,0.16232811,0.17871682,0.18862544,0.19004822,0.18097259,0.16130473,0.13589264,0.114102535,0.10491833,0.11072529,0.12689106,0.14519572,0.15955092,0.167534,0.17021812,0.16998404,0.16914435,0.16851057,0.16714187,0.16321532,0.15579547,0.1448733,0.13082352,0.1139552,0.097266905,0.087213665,0.090501316,0.10762593,0.13081324,0.14967756,0.15838115,0.1581922,0.1532885,0.14667386,0.14006166,0.13531464,0.13529591,0.1405252,0.14897536,0.1563549,0.16049077,0.16158552,0.16211058,0.16391073,0.16763347,0.17246224,0.17709363,0.1802652,0.18118934,0.17967594,0.17612587,0.17157076,0.16797256,0.1677974,0.1725638,0.18079247,0.18821895,0.19050033,0.1861078,0.1772718,0.16834359,0.16512053,0.17203854,0.1904459,0.21536006,0.23872097,0.2533052,0.2574347,0.25412747,0.24856098,0.24575599,0.24877568,0.25845566,0.27236485,0.28683677,0.29792294,0.30396998,0.30458632,0.3006573,0.29174522,0.2766238,0.25377825,0.22453105,0.19321065,0.16566445,0.14557984,0.13321984,0.12617098,0.12212786,0.12044845,0.121958114,0.12694709,0.1336609,0.13872999,0.13916464,0.13443774,0.12713721,0.12193027,0.12272843,0.1299792,0.13972099,0.14592527,0.143434,0.13036571,0.10875734,0.0845082,0.06515468,0.05581746,0.05629017,0.06254296,0.07167617,0.08453944,0.10321685,0.12637421,0.14806944,0.16148426,0.16342954,0.15590851,0.14390017,0.13235703,0.1242345,0.12032184,0.11989522,0.1217167,0.12478464,0.12851262,0.13207684,0.1339434,0.13268751,0.12882452,0.12548225,0.12626283,0.1324337,0.1417944,0.15085721,0.15706407,0.15980804,0.1594656,0.15655196,0.15153699,0.14478554,0.13652323,0.12613161,0.112413265,0.09428746,0.07254647,0.050356578,0.03224135,0.021544166,0.018753683,0.021739008,0.027390527,0.033028413,0.036778327,0.03817929,0.039124206,0.044583935,0.05949886,0.084637456,0.113816135,0.13831091,0.15247007,0.15710454,0.15620281,0.15298355,0.14824636,0.14202358,0.13545437,0.130939,0.13085859,0.13599718,0.14480494,0.15437064,0.16193162,0.16652851,0.16864072,0.16932255,0.16873412,0.16636199,0.16159761,0.15455362,0.14553328,0.13408038,0.11863347,0.098293334,0.07568256,0.058052164,0.053952236,0.066664666,0.09073173,0.114922665,0.13067847,0.13657986,0.13696025,0.13606589,0.13565741,0.1359589,0.1372612,0.1396418,0.1414641,0.14024931,0.134799,0.12751059,0.12381194,0.12941422,0.14768088,0.17691088,0.21128975,0.2420537,0.26375225,0.27539137,0.2812578,0.28475562,0.2877092,0.28938016,0.28984752,0.28995255,0.2911612,0.29438496,0.29901776,0.30378115,0.30648598,0.30556223,0.29854238,0.2834541,0.25852868,0.22533308,0.18768771,0.15165159,0.12211209,0.10287955,0.094974615,0.097593166,0.10735633,0.12017418,0.13167721,0.13890697,0.14043236,0.1366495,0.12867449,0.11740115,0.10326808,0.0867637,0.069122896,0.052156616,0.037878778,0.027724827,0.022148488,0.020798514,0.023546727,0.031438295,0.04578791,0.066083215,0.087866254,0.10395985,0.1077959,0.0978122,0.07911348,0.06164297,0.05568777,0.066108294,0.09025204,0.11883601,0.14247046,0.15572505,0.15917726,0.15546949,0.14695865,0.13512628,0.1227291,0.113651074,0.110151686,0.110663354,0.11141896,0.11077256,0.11084656,0.11484804,0.12281694,0.13100587,0.13465546,0.13188142,0.12465349,0.1173738,0.113689214,0.11464122,0.11871625,0.12364519,0.12785603,0.13060318,0.13166265,0.13111536,0.12970702,0.12833895,0.12748194,0.12654175,0.12449787,0.12063385,0.11515368,0.10881192,0.10243797,0.096510746,0.09114621,0.08616837,0.081243455,0.07605942,0.070520416,0.06478747,0.05915706,0.053806115,0.04870126,0.043554142,0.037973873,0.0316322,0.0245841,0.017395956,0.01098523,0.0061255675,0.0030590834,0.0014706097,0.00080113084,0.00056949287,0.00050140684,0.000486545,0.00048983935,0.0005006217,0.0005124861,0.0005209188,0.0005220604,0.00052432343,0.00059255445,0.00093672465,0.0019922536,0.004366043,0.008576055,0.014693196,0.02220147,0.030238712,0.038161427,0.045907125,0.053870097,0.06207632,0.069326945,0.0734708,0.07371629,0.07352302,0.080572985,0.10145686,0.13748199,0.18476611,0.24236257,0.3109429,0.38817897,0.45784578,0.49925408,0.49903107,0.4651362,0.4183781,0.38010964,0.35864353,0.35078847,0.34764183,0.3433626,0.3361591,0.32813457,0.32118663,0.31746355,0.3172064,0.31936777,0.31930768,0.31167027,0.29335,0.26801494,0.24365868,0.22792964,0.22241183,0.22398621,0.2278893,0.23189932,0.23500997,0.23582707,0.23056088,0.2154523,0.19069682,0.16288853,0.14285763,0.13866745,0.15119918,0.17388944,0.19794591,0.21643008,0.22628732,0.22773731,0.22286935,0.2147122,0.20691144,0.20305751,0.20516773,0.21091281,0.21403092,0.2068279,0.18636352,0.15796985,0.13455682,0.12927331,0.14572996,0.17527516,0.20192929,0.21438557,0.20987003,0.19258493,0.1672677,0.13959481,0.118479066,0.114302695,0.13190518,0.16387443,0.19507916,0.21127875,0.20792545,0.19000714,0.16871011,0.15521161,0.15513884,0.16547535,0.17656331,0.17882526,0.16836953,0.14834912,0.12581606,0.10910869,0.1052781,0.118275285,0.14522366,0.17707525,0.2029451,0.21696313,0.22017361,0.21781118,0.21520339,0.21550773,0.21865435,0.22190683,0.22152539,0.21650694,0.20869327,0.20131058,0.19542651,0.19019304,0.1836019,0.17381573,0.16091567,0.14977026,0.15315025,0.18522768,0.2506489,0.33214498,0.3979443,0.41764584,0.3824757,0.3071744,0.22367711,0.16835018,0.16814245,0.22806847,0.3219407,0.40587044,0.4389076,0.40796745,0.32728723,0.22776127,0.13723834,0.07175693,0.033851694,0.018911345,0.022231193,0.04162373,0.07304711,0.10817131,0.13814788,0.1670687,0.21044886,0.28435734,0.3806045,0.4698231,0.5144536,0.49943075,0.43464717,0.35017744,0.2733329,0.22049874,0.19277269,0.1858726,0.19804917,0.23502427,0.30099484,0.38833627,0.4715635,0.522136,0.5244884,0.48852095,0.4381853,0.3965193,0.37154922,0.3589289,0.3503931,0.3422124,0.33603024,0.33438015,0.33746812,0.34243393,0.3461831,0.34500113,0.33537984,0.31348062,0.2797001,0.23921601,0.20110859,0.17246121,0.155954,0.15009822,0.15203859,0.1590848,0.16866459,0.17839406,0.18700057,0.19499725,0.20340486,0.2109412,0.21317339,0.20438834,0.18141429,0.14660174,0.109043,0.08262063,0.07852819,0.09787259,0.12933452,0.15882687,0.17895724,0.19212829,0.20295696,0.21238844,0.2181745,0.21877164,0.21627347,0.21463461,0.21814781,0.2280701,0.2410152,0.2502649,0.24966668,0.23909567,0.22291994,0.20755081,0.19589095,0.18871455,0.18574758,0.1879453,0.1955883,0.2068692,0.21782035,0.22418253,0.22312944,0.2144209,0.20117944,0.1897238,0.18689184,0.19568653,0.21307652,0.23160632,0.2442293,0.24707818,0.24000795,0.22555143,0.20829421,0.19401522,0.18641089,0.18520892,0.18687604,0.18899624,0.19285673,0.20160384,0.21709359,0.23667128,0.25428486,0.26258734,0.2577499,0.24176246,0.22033942,0.19880837,0.17926079,0.16411221,0.1566369,0.15973426,0.17242472,0.19352432,0.22904539,0.2885681,0.37575683,0.47101274,0.5426085,0.5596178,0.51911527,0.441859,0.3671002,0.32973096,0.34759188,0.41198745,0.48981002,0.54239184,0.5409032,0.48307958,0.38828894,0.29238638,0.23305644,0.23498125,0.29874194,0.39428666,0.48129162,0.5252635,0.5207909,0.48126182,0.43136725,0.38753974,0.3577775,0.34046158,0.3318679,0.3289707,0.33215046,0.34152937,0.3549178,0.366346,0.371815,0.37071195,0.36673608,0.36432984,0.3696129,0.390406,0.4305595,0.48366785,0.5291345,0.54680777,0.5278527,0.4841584,0.4343007,0.39440045,0.3683549,0.35415837,0.34687126,0.343267,0.34096923,0.33944216,0.33878326,0.339465,0.34057066,0.3398585,0.33271757,0.3144561,0.28357232,0.24570066,0.21097116,0.1872826,0.17535849,0.17141008,0.17381662,0.18452404,0.20392896,0.2245813,0.23364834,0.22264718,0.19461238,0.16223983,0.13737865,0.12667602,0.13041787,0.14700015,0.17062765,0.19315271,0.20569177,0.20340566,0.1863379,0.15950197,0.13333182,0.11967477,0.12539108,0.14547496,0.16766043,0.18095918,0.18376087,0.1816452,0.1821054,0.1883536,0.1967823,0.19854589,0.18595636,0.16051003,0.1334282,0.117466725,0.117634945,0.12884605,0.14272247,0.15108518,0.1501302,0.13902126,0.1228677,0.10693479,0.09457951,0.08497422,0.08103632,0.088692985,0.11321323,0.14945692,0.18666746,0.2147538,0.23210788,0.24096818,0.24410899,0.2417474,0.23369044,0.21943259,0.20015012,0.17933966,0.16403763,0.15947682,0.16602457,0.17768194,0.18929273,0.1987812,0.2061578,0.20845415,0.20145048,0.18491507,0.16344391,0.14232378,0.12251929,0.10465842,0.09216422,0.089514576,0.09732584,0.11353085,0.14510249,0.20385809,0.29648855,0.4008658,0.48114762,0.50416154,0.47095367,0.40582705,0.3467418,0.32211912,0.3451043,0.4072136,0.47868374,0.5244127,0.52049315,0.47267595,0.40505934,0.34572837,0.3061639,0.28252187,0.26296785,0.24142255,0.22163753,0.21272574,0.21817942,0.2332445,0.25136316,0.27804318,0.32454264,0.39671424,0.47445908,0.5270391,0.52724326,0.47814718,0.4013896,0.3275371,0.27333847,0.24237557,0.2274617,0.22310507,0.23177321,0.2638032,0.32594612,0.40934968,0.48636356,0.52773094,0.5191186,0.4725801,0.41196445,0.3617853,0.33280614,0.32620752,0.3335267,0.34458277,0.35034466,0.34795702,0.33988962,0.33079746,0.3244481,0.32120398,0.31771627,0.30765286,0.28637645,0.25539672,0.22269063,0.1978994,0.1861407,0.18672858,0.19464497,0.20461805,0.21219112,0.21537423,0.21394019,0.2096129,0.20391284,0.19721915,0.18901016,0.18035014,0.17470056,0.17533122,0.18185234,0.18978079,0.19383334,0.1902867,0.17853516,0.16100597,0.1448623,0.1380022,0.14536382,0.16325127,0.18305223,0.19396369,0.19010514,0.17268841,0.15280324,0.14434524,0.15393364,0.17400058,0.18956774,0.1914895,0.18232101,0.17111622,0.1647803,0.16576888,0.1738487,0.18652993,0.19898444,0.2055517,0.20447838,0.19868177,0.1929576,0.18900405,0.18531418,0.18028493,0.17452012,0.1693601,0.16456114,0.16007425,0.15866454,0.16443752,0.17759354,0.19229525,0.20188431,0.20379245,0.20001312,0.19310291,0.18497825,0.17655964,0.16827095,0.15993698,0.15468596,0.15875109,0.17668235,0.2030191,0.2241983,0.2295085,0.21966952,0.20489193,0.19380103,0.18910287,0.1884072,0.18968694,0.19350284,0.20415027,0.23274238,0.28830275,0.3715762,0.45890045,0.5192206,0.52444583,0.47638738,0.39620495,0.31951922,0.2777166,0.28974044,0.35361922,0.4390695,0.5060713,0.5208115,0.48123062,0.40790007,0.33571932,0.29689142,0.3107253,0.37651575,0.4651011,0.5388791,0.56595737,0.5452147,0.493215,0.43629408,0.38995966,0.3610311,0.34661412,0.34212956,0.34217104,0.34484246,0.34916046,0.355274,0.36061564,0.36291215,0.36053273,0.35442898,0.34472725,0.32844722,0.30020037,0.2563923,0.2008761,0.14416695,0.09853203,0.06968242,0.055366993,0.049931023,0.051626537,0.06371673,0.08764703,0.11774757,0.14199042,0.15249456,0.14946151,0.1410355,0.13481346,0.13654333,0.14794023,0.16802645,0.1911807,0.21028143,0.22015326,0.22081764,0.21574529,0.20903222,0.2035008,0.20060043,0.20042199,0.20144856,0.20122142,0.19792204,0.19118983,0.18193449,0.17177671,0.16430692,0.16411209,0.17398067,0.19048549,0.20609854,0.21436428,0.21500981,0.21190847,0.20906699,0.20772845,0.20739917,0.20734279,0.20732798,0.20730425,0.2070856,0.2064441,0.20511396,0.20294808,0.1997308,0.19561155,0.191117,0.18707518,0.18365371,0.17965174,0.17192592,0.15722588,0.13555913,0.11408702,0.10463154,0.11588325,0.14518474,0.17974132,0.20608972,0.2187835,0.2212978,0.21966796,0.21755409,0.2147841,0.20977347,0.20131056,0.1899833,0.17806952,0.16788785,0.15940665,0.1499967,0.13882528,0.13129245,0.13644627,0.15827589,0.18884559,0.21389908,0.2225007,0.21420528,0.1956367,0.17612968,0.16392738,0.1641932,0.17658679,0.1945163,0.20935066,0.21542458,0.21308106,0.20635849,0.19971149,0.19548257,0.19386649,0.19372326,0.19372238,0.19326466,0.19260849,0.19244657,0.19296853,0.19380826,0.19425797,0.193995,0.19311613,0.19218345,0.19168411,0.19178152,0.19201757,0.19182236,0.19088675,0.18942064,0.18772854,0.1859848,0.18430392,0.18297999,0.18258496,0.18356813,0.18593699,0.18900193,0.19177699,0.19356155,0.19415118,0.19367565,0.19206649,0.1893592,0.18572222,0.18167923,0.17753464,0.17336471,0.16884863,0.1636461,0.15735702,0.14982636,0.14054145,0.13046722,0.12562537,0.14038968,0.18993956,0.2732946,0.36437547,0.42487267,0.43502405,0.40571985,0.36801577,0.34655473,0.3510717,0.37820098,0.4168819,0.4506197,0.46245262,0.44773844,0.41564724,0.3836731,0.36149728,0.3485309,0.33669332,0.3212349,0.3033024,0.28861523,0.27997443,0.27382982,0.2618218,0.23874837,0.20815994,0.18131988,0.16887735,0.17280309,0.18491949,0.19334479,0.19031228,0.17570321,0.15461276,0.13501939,0.12602663,0.13552605,0.16444705,0.20413554,0.24058788,0.2633627,0.26991108,0.26364943,0.24937016,0.23199236,0.21680582,0.20858188,0.20789064,0.20882964,0.20207274,0.18296546,0.15708876,0.1374458,0.13433194,0.14743982,0.16639857,0.17818736,0.17553152,0.15956831,0.13874264,0.123630315,0.12394539,0.14343077,0.17741096,0.21218379,0.23310508,0.23400658,0.22106291,0.206459,0.19885679,0.19976331,0.20566653,0.21275197,0.21876763,0.22375523,0.22873747,0.23410988,0.23838228,0.23919721,0.2370226,0.2352551,0.23825674,0.24527724,0.25210717,0.25375345,0.25032103,0.24491215,0.24142317,0.24097335,0.2429619,0.24584454,0.24860728,0.25020614,0.24979348,0.24677171,0.24191867,0.23707712,0.2339523,0.23261474,0.23182166,0.23068535,0.22998305,0.23098059,0.2333139,0.23467666,0.23484941,0.2393912,0.2565433,0.28660068,0.3185992,0.33932975,0.35144985,0.3657509,0.3878002,0.4021288,0.39870682,0.38346374,0.37540773,0.3757802,0.36897144,0.3485836,0.33096704,0.34157696,0.3830838,0.43826675,0.4855156,0.5132101,0.5181665,0.50139266,0.4766307,0.4592005,0.45855424,0.4621005,0.45676544,0.43757358,0.41475525,0.39555565,0.3832442,0.38179764,0.39514008,0.42051885,0.4418246,0.4503837,0.45149443,0.4611484,0.48042122,0.49565724,0.49293008,0.47435603,0.45347548,0.44084883,0.4380457,0.4407105,0.44429377,0.44587895,0.44429174,0.44073007,0.43686283,0.43406096,0.43183756,0.43027997,0.42752787,0.42027795,0.40313658,0.37663916,0.34792066,0.3280532,0.32293904,0.3330836,0.35772315,0.39617172,0.44138062,0.47606695,0.48116136,0.45245516,0.40461826,0.36130944,0.3369547,0.3330855,0.34215787,0.35678792,0.3712314,0.38247946,0.38888183,0.3908262,0.39004025,0.3914318,0.40224218,0.42791954,0.4628322,0.49051175,0.4932414,0.4693279,0.43283454,0.40421483,0.3930633,0.39785668,0.40754583,0.41123125,0.39998284,0.3732845,0.33612263,0.29769203,0.26596424,0.24891652,0.25249642,0.27789167,0.31832317,0.3616754,0.39683577,0.4184822,0.42803264,0.4312345,0.43440035,0.44124886,0.45106673,0.46050087,0.464703,0.45940962,0.43980527,0.40372515,0.355078,0.3093023,0.28867576,0.30887964,0.36304858,0.42238522,0.4555453,0.4524814,0.42750585,0.40432715,0.39566508,0.40051714,0.40864757,0.41073608,0.40329266,0.39339885,0.3963493,0.42048097,0.45708612,0.4802617,0.47358647,0.44185662,0.40941298,0.39376917,0.39554575,0.40284276,0.40578815,0.40399095,0.40344128,0.41283652,0.43532777,0.46549368,0.48844394,0.49154815,0.47352114,0.44623324,0.4234346,0.41174152,0.4091952,0.4110664,0.4137814,0.41763636,0.4260548,0.44524553,0.47540236,0.50887436,0.5302363,0.5317729,0.5156216,0.49365667,0.4757751,0.47017547,0.48167467,0.5073535,0.534233,0.54504687,0.53710026,0.52176505,0.51370096,0.51256984,0.5095721,0.49971116,0.48746967,0.47906232,0.4762722,0.48109737,0.49513495,0.5146007,0.5256927,0.5164246,0.48955727,0.4615765,0.44737184,0.44817972,0.45585224,0.4634033,0.47056046,0.4811881,0.49833426,0.5231202,0.5507409,0.57267815,0.5777552,0.56408054,0.5374278,0.50982934,0.4874145,0.47306564,0.466393,0.4679626,0.47649407,0.49062023,0.51057744,0.53635836,0.56294835,0.5784611,0.57320523,0.54884136,0.51825064,0.49433914,0.48044574,0.4723134,0.46487522,0.45786393,0.4532937,0.45334718,0.4575003,0.46415198,0.4721322,0.48321256,0.50109506,0.5262491,0.5523309,0.5673358,0.5631796,0.54116607,0.5116629,0.48577926,0.4702511,0.46548203,0.4657571,0.46164486,0.4441123,0.41235873,0.37396148,0.34075108,0.31999138,0.31238148,0.31300536,0.31527236,0.31341547,0.30629626,0.2962239,0.28685328,0.2766457,0.26417112,0.25304207,0.25831056,0.2929636,0.35469732,0.41975483,0.46130517,0.46989784,0.45912564,0.45065013,0.4556514,0.4712728,0.48783565,0.4993901,0.50729793,0.51769006,0.53577965,0.55661464,0.5684449,0.5590449,0.5314557,0.4965999,0.4663444,0.4400344,0.41508523,0.39112818,0.3733631,0.36350548,0.35874295,0.3548485,0.34928405,0.34129462,0.3298974,0.31636786,0.30360457,0.29407957,0.2871569,0.28334603,0.29133615,0.32341635,0.3827317,0.45284203,0.5100076,0.542661,0.5559779,0.56103975,0.55898356,0.5500662,0.5364407,0.52710867,0.5237604,0.52418107,0.5260306,0.5301743,0.5360957,0.5361335,0.52604645,0.50659513,0.48664144,0.47093657,0.46293494,0.46413043,0.4746219,0.48905882,0.49729422,0.49586168,0.4878339,0.48091555,0.4759051,0.4721055,0.4691421,0.46870157,0.47004727,0.47136167,0.47552714,0.4863719,0.5025794,0.51248187,0.5052934,0.4805133,0.4493715,0.42527536,0.41469753,0.41732123,0.4277518,0.44101632,0.45241967,0.4604682,0.4648768,0.46681693,0.46744737,0.46847156,0.47163078,0.47469354,0.471747,0.45457372,0.42199084,0.37926635,0.33590913,0.29927957,0.27676305,0.27871802,0.3122704,0.3717231,0.4337791,0.47343886,0.48127034,0.46806327,0.4519316,0.44291314,0.44231036,0.44621626,0.4528645,0.45985565,0.4655799,0.46703723,0.46253595,0.45295003,0.44434342,0.44714785,0.46643424,0.49416217,0.50998783,0.4995917,0.4684269,0.4376637,0.42525598,0.4311707,0.44288763,0.44509944,0.4300909,0.3967009,0.3528858,0.310944,0.28290012,0.27160254,0.2717533,0.27622834,0.28280273,0.29308546,0.30734625,0.321681,0.33091936,0.33152696,0.3250346,0.31644154,0.31391883,0.32316864,0.34501448,0.37392035,0.4017334,0.42164913,0.43049085,0.4313927,0.43287024,0.44641232,0.47532105,0.509556,0.52852345,0.518912,0.48489276,0.4446418,0.41509208,0.40299097,0.40707138,0.41994807,0.43071118,0.42788193,0.41205177,0.3986601,0.40608504,0.43653902,0.4713,0.4904772,0.48887706,0.47931072,0.47405276,0.47659516,0.4810822,0.48212695,0.47905123,0.47689307,0.4835197,0.50213647,0.5259698,0.5392398,0.53073025,0.503286,0.47251204,0.45239305,0.44598663,0.44675413,0.44741106,0.44491264,0.44183066,0.44317243,0.45645466,0.48329088,0.52038574,0.5538135,0.5733443,0.5703947,0.549569,0.5189143,0.49394906,0.48508993,0.49328163,0.50798005,0.5158817,0.5166222,0.5169043,0.5239497,0.53062224,0.5281281,0.5120862,0.48792323,0.46181083,0.4395779,0.4290448,0.43628612,0.45831117,0.47958812,0.4861672,0.4772682,0.4660478,0.46480656,0.47563186,0.49151793,0.5053619,0.5148568,0.522316,0.53085583,0.5417214,0.55105114,0.552881,0.5421185,0.52128863,0.49433053,0.46379265,0.42540452,0.37835383,0.327074,0.2815196,0.24954556,0.23737496,0.2526593,0.29850474,0.36638144,0.43151402,0.4721321,0.48246452,0.47703004,0.47147408,0.4725006,0.476499,0.4793783,0.47939682,0.47685787,0.47189522,0.46548557,0.45953333,0.4576532,0.4636158,0.48040727,0.5042384,0.52498704,0.52927774,0.5136762,0.48645484,0.46287382,0.4519724,0.4534526,0.46187857,0.47104874,0.47688618,0.47556326,0.46772322,0.45527253,0.44055304,0.42038783,0.391449,0.3546555,0.3197876,0.2987616,0.30019355,0.3249712,0.3716773,0.43290845,0.49912477,0.55159825,0.5790953,0.5742143,0.54732066,0.51089513,0.48468065,0.4788262,0.49327877,0.51307577,0.5203224,0.5092157,0.48794177,0.47293487,0.47346058,0.49059665,0.5175648,0.54353136,0.5564961,0.54837507,0.5234504,0.49427807,0.47457433,0.4695576,0.4783808,0.49888483,0.52622247,0.5540982,0.57085234,0.5722474,0.5567596,0.533396,0.50977176,0.49723232,0.49958944,0.51253206,0.522147,0.51538825,0.49280202,0.46637762,0.4521645,0.45670465,0.4783063,0.5101016,0.5419914,0.56330127,0.5644589,0.5487645,0.52727413,0.5152735,0.5179736,0.53387064,0.55673224,0.578937,0.59363264,0.59257114,0.5766602,0.54892874,0.5210096,0.4991049,0.4908477,0.49726927,0.5165704,0.541148,0.558517,0.5602725,0.542606,0.5157371,0.49175945,0.4826597,0.4863018,0.49415842,0.4969014,0.49593687,0.49944457,0.51448613,0.53911024,0.56402767,0.57804364,0.57435817,0.55267733,0.5200979,0.4875181,0.46450093,0.45474514,0.45521712,0.460209,0.46430108,0.464996,0.46155098,0.45527408,0.44829607,0.44322848,0.43914962,0.43197057,0.4156896,0.39017007,0.36105493,0.33761582,0.32425216,0.31917247,0.31627193,0.31102905,0.30250582,0.29225615,0.28045443,0.26482508,0.24165235,0.21111722,0.1789115,0.15603124,0.15035044,0.1625647,0.1836871,0.20328714,0.21383901,0.21464257,0.20770164,0.19707656,0.18823911,0.18811458,0.20049526,0.22126089,0.23943913,0.24375103,0.22914809,0.19962788,0.16669847,0.14735223,0.15361568,0.18608753,0.22842745,0.26093963,0.26851633,0.2500294,0.21210994,0.16912615,0.13787605,0.13279624,0.1566848,0.1971761,0.23484421,0.2536976,0.24935757,0.22672634,0.19674402,0.17196167,0.16213016,0.16963227,0.18767309,0.20608251,0.2177553,0.22197919,0.22147866,0.21930046,0.21883374,0.22304077,0.23341644,0.24607144,0.25523388,0.25640503,0.25110784,0.2440209,0.24045081,0.24431749,0.25646898,0.27482387,0.29292354,0.3058585,0.31187966,0.31475863,0.3178748,0.32283077,0.3284913,0.33388412,0.33893642,0.34626433,0.3624111,0.39769736,0.4574062,0.5335822,0.6001335,0.6285872,0.6032388,0.5359346,0.45618486,0.39881158,0.38623294,0.4216956,0.48834872,0.5542826,0.5882779,0.5707169,0.5061284,0.41492462,0.3254507,0.25635016,0.21368225,0.19146115,0.1822126,0.18220776,0.1901512,0.2029802,0.21603324,0.23245077,0.26632133,0.3314928,0.4239212,0.51336503,0.56299067,0.5493627,0.4805254,0.3833369,0.29114488,0.22311008,0.18305577,0.16354083,0.1607082,0.18268435,0.24208875,0.34228322,0.46111655,0.5631109,0.61496335,0.61027914,0.56491834,0.5077469,0.46084437,0.43396223,0.4249756,0.42614397,0.43163297,0.43891725,0.44882163,0.46052888,0.4715197,0.47729775,0.47276136,0.45336318,0.41765234,0.37014475,0.31913826,0.27197593,0.23193891,0.20019041,0.17933206,0.17131133,0.17381138,0.17891498,0.18018003,0.17922252,0.18400715,0.19994557,0.221929,0.23871928,0.24036895,0.22476031,0.19635616,0.16568822,0.14648813,0.14924581,0.17203015,0.20092094,0.22095191,0.22924268,0.23343737,0.24198163,0.25536457,0.2683712,0.27452338,0.26949185,0.25355268,0.2348069,0.22512175,0.23053037,0.24272971,0.24785097,0.23857538,0.22194393,0.2094462,0.20855595,0.21852006,0.23504396,0.25280324,0.26694795,0.27365717,0.2710537,0.25852618,0.2370369,0.20990284,0.18506594,0.1707579,0.17101027,0.18124793,0.19343835,0.20059733,0.200473,0.19316356,0.18085535,0.16706924,0.1562873,0.15073037,0.1499021,0.15287463,0.16068365,0.17498325,0.1945492,0.21577053,0.23554547,0.25260648,0.26524922,0.26910353,0.26059312,0.23973618,0.21199387,0.18490821,0.1667943,0.16395976,0.17712891,0.19932432,0.22147937,0.24381036,0.28095996,0.34798694,0.4422578,0.5328226,0.58189315,0.56621176,0.49716386,0.40827134,0.34185156,0.32697317,0.36983016,0.44988084,0.52703947,0.563412,0.5379508,0.46035317,0.3610282,0.28382188,0.26439628,0.31615698,0.41869965,0.52690434,0.59688634,0.60748005,0.5692035,0.5075123,0.44905397,0.40838096,0.39048675,0.39231476,0.4072207,0.4267453,0.44295135,0.45109594,0.45030296,0.44342026,0.43483898,0.42828456,0.42654002,0.43156603,0.4483179,0.480696,0.52975184,0.5833116,0.6242118,0.63506275,0.61590564,0.5781996,0.54045177,0.5127197,0.49715552,0.48924914,0.48422053,0.4786406,0.4716656,0.4639739,0.45711556,0.45161328,0.44711792,0.44016135,0.4251156,0.39540097,0.35083708,0.29925516,0.25369552,0.22252889,0.20633774,0.20156181,0.20601165,0.21877332,0.23486708,0.24535793,0.24194457,0.22369738,0.1972572,0.17271195,0.15958934,0.16243966,0.18137671,0.21073191,0.24572682,0.28115323,0.31277427,0.33081064,0.32753834,0.30287996,0.27065086,0.246868,0.23921168,0.2421995,0.24649954,0.24682689,0.24436791,0.24202585,0.24218678,0.24344207,0.24286002,0.23585366,0.22360283,0.21093553,0.20396696,0.20241337,0.20295338,0.2046326,0.20877697,0.21496381,0.217025,0.21250458,0.20353101,0.19578476,0.18810312,0.1790574,0.17231621,0.17877227,0.20392497,0.24123447,0.27738988,0.30344117,0.31928885,0.3282287,0.33244357,0.33131102,0.32371864,0.30716404,0.28194547,0.25242236,0.23114331,0.22763543,0.24445598,0.27125815,0.29804066,0.31565395,0.32059586,0.3082942,0.28146783,0.24851005,0.2222889,0.20771353,0.20221925,0.20093757,0.2028461,0.20912732,0.21905696,0.23618717,0.27055392,0.3349831,0.42722097,0.52339345,0.5890654,0.6010332,0.5649638,0.5093079,0.470836,0.47100067,0.5092583,0.5648892,0.6112228,0.62744355,0.6054344,0.5518681,0.48285332,0.41596878,0.3601025,0.3133191,0.27100024,0.23531689,0.2186356,0.22936039,0.26355422,0.30396116,0.3406538,0.37814415,0.43087044,0.50112337,0.57108927,0.61156696,0.6010473,0.540083,0.44844285,0.3550341,0.28215864,0.23832244,0.2193449,0.21777141,0.23602252,0.28260764,0.36363176,0.46259332,0.5503066,0.595691,0.5912877,0.54905295,0.4949858,0.4505377,0.42717013,0.42392108,0.43279037,0.44471565,0.45369366,0.45789778,0.45812765,0.45581207,0.4514937,0.442292,0.4227364,0.38779816,0.340198,0.28959668,0.24712701,0.21648324,0.19540219,0.1811922,0.1750431,0.1784574,0.18896057,0.20092471,0.21001463,0.21537884,0.21720684,0.21456258,0.20723294,0.19778806,0.19117002,0.18969578,0.1929612,0.1982251,0.20317304,0.20305206,0.19359462,0.17556085,0.15849446,0.15396397,0.16525333,0.18483727,0.2002845,0.20267415,0.19109744,0.17342891,0.16475976,0.175258,0.20211828,0.22753318,0.23716468,0.22918864,0.213961,0.19878447,0.18545116,0.17478286,0.17116378,0.17760515,0.18927304,0.19764401,0.1975754,0.19239576,0.18884903,0.19182003,0.20195572,0.21529384,0.2261159,0.22786836,0.22005136,0.20766366,0.20027764,0.20245071,0.21235824,0.2229407,0.2286547,0.2277003,0.22192562,0.21535687,0.21111341,0.20817898,0.2017685,0.18991292,0.18092497,0.18696149,0.21218501,0.24352817,0.2634472,0.26329526,0.2494341,0.2320568,0.21667476,0.20488127,0.1987677,0.20309795,0.2201574,0.25254884,0.30355266,0.37749824,0.4670515,0.5489795,0.5913162,0.5740483,0.5038888,0.41172552,0.33918035,0.3181533,0.35884997,0.44259834,0.5303517,0.5803256,0.5688415,0.50256705,0.4126828,0.3413941,0.3210473,0.362456,0.44793788,0.54075783,0.6028803,0.61466676,0.5832938,0.5325373,0.48741996,0.45919695,0.44715282,0.44395375,0.44550595,0.4506162,0.45959237,0.47022465,0.47914028,0.48333648,0.48210242,0.4766786,0.46846834,0.45714474,0.43799973,0.4045407,0.35200927,0.28449854,0.21299243,0.15132254,0.10739315,0.08307893,0.075676166,0.08247359,0.0987534,0.11801913,0.13167201,0.13588816,0.13191043,0.12583283,0.122679025,0.12702864,0.14390515,0.17635076,0.22170337,0.26773897,0.30217633,0.31815004,0.3199959,0.31492615,0.30953118,0.30561677,0.3025283,0.2969183,0.2842971,0.26135918,0.22911489,0.19332214,0.1621101,0.14349632,0.14374186,0.16450019,0.20018934,0.23813803,0.26623905,0.2792519,0.28116775,0.27866042,0.276622,0.27583182,0.27558637,0.27478305,0.27289835,0.26979554,0.26670265,0.26591763,0.27001786,0.27929068,0.29124114,0.30097023,0.30366552,0.2954751,0.2747309,0.24213499,0.20181875,0.16072187,0.12766041,0.11088642,0.1153352,0.13953985,0.17509407,0.2103224,0.23635964,0.25075683,0.25631037,0.2569444,0.2552073,0.25153804,0.24514492,0.23436534,0.21832134,0.19802327,0.17683373,0.15878771,0.14765441,0.14714633,0.16028814,0.18670456,0.21918543,0.245757,0.2556329,0.24595952,0.22265862,0.19695733,0.17987198,0.1777159,0.19003224,0.21003748,0.22898374,0.24054791,0.24395718,0.24218081,0.23919316,0.23712705,0.23646455,0.23656887,0.23692845,0.23698048,0.23651497,0.23529808,0.23366219,0.23200619,0.23073106,0.22955917,0.2279592,0.22573179,0.22355147,0.22249548,0.22294448,0.22426341,0.22540796,0.2261609,0.227105,0.22894508,0.23163818,0.23467435,0.23760092,0.24026561,0.24243547,0.24359246,0.24313842,0.2409221,0.2372629,0.23281957,0.22829913,0.22467868,0.22306223,0.22422141,0.22783202,0.23264164,0.2370738,0.24020368,0.24155647,0.24085577,0.23685957,0.227526,0.21125002,0.18961918,0.1682726,0.15414192,0.15097211,0.15668137,0.16511752,0.16960905,0.16686799,0.15894812,0.15299346,0.15783866,0.17873068,0.21386947,0.25428596,0.28852984,0.30789992,0.31070304,0.30167648,0.28846487,0.27714935,0.2698634,0.2656114,0.26199386,0.2576064,0.25215825,0.24636222,0.2405594,0.23511349,0.23102169,0.22940451,0.22960252,0.22755237,0.21910353,0.20338143,0.18433814,0.16731995,0.15741359,0.15957524,0.17703581,0.20788561,0.24221091,0.26861933,0.28063908,0.28105387,0.27624547,0.27182737,0.26959753,0.26906732,0.26818264,0.2638079,0.25258532,0.23261912,0.20587175,0.17818063,0.15708385,0.14731656,0.14792834,0.15300356,0.15555845,0.15229572,0.14446361,0.13603985,0.13051839,0.1303704,0.13805498,0.15471084,0.17843683,0.20246357,0.22002883,0.2278856,0.22872539,0.22704327,0.22641556,0.22791405,0.2310881,0.2345979,0.23649372,0.23517533,0.23015606,0.22263436,0.21464323,0.2081015,0.20406651,0.20270388,0.20343083,0.20513837,0.2065983,0.2070687,0.206522,0.20526487,0.20334826,0.20034744,0.19593127,0.19033246,0.18471503,0.18039225,0.17809987,0.17717706,0.17611897,0.1733718,0.16843438,0.16195108,0.1554199,0.15015335,0.14668949,0.14460202,0.14336236,0.1428198,0.14325804,0.14464116,0.14642434,0.1478831,0.14868094,0.14931633,0.15064766,0.1535681,0.1576834,0.16169663,0.16367795,0.1631238,0.16082758,0.15867835,0.15786678,0.15878308,0.1609488,0.16355856,0.16534907,0.16470724,0.16037263,0.15247701,0.1432732,0.13662839,0.136223,0.14312117,0.15442927,0.16444749,0.16796911,0.16309695,0.15188217,0.1386911,0.12797576,0.12235144,0.12175246,0.12706852,0.14357847,0.18279772,0.24849053,0.32955745,0.39827868,0.4372889,0.4485471,0.45345828,0.46587422,0.48666868,0.5061123,0.5190321,0.52698654,0.5362994,0.5522141,0.57644314,0.60443753,0.6292102,0.6402568,0.6323342,0.6011138,0.55500275,0.50525075,0.47040072,0.45735335,0.46517324,0.4827521,0.5029701,0.5242104,0.5450168,0.55945015,0.55760914,0.54110664,0.5215456,0.51467675,0.5222304,0.5356149,0.54356456,0.54386973,0.54076403,0.54099107,0.54898536,0.5670869,0.5919406,0.6187587,0.6396754,0.65429854,0.65944403,0.6582666,0.64950377,0.6425033,0.6393357,0.63743514,0.62103367,0.5835654,0.5346966,0.4957229,0.48132446,0.49046108,0.51619476,0.5494825,0.5808669,0.59773594,0.5958368,0.58585143,0.5831024,0.5922242,0.60063577,0.5980925,0.58554333,0.5759644,0.5779646,0.592817,0.6143341,0.63064307,0.6267717,0.59248465,0.53647184,0.48296437,0.45699123,0.46390203,0.49105215,0.52014273,0.54123515,0.55417436,0.5637297,0.57514197,0.5897396,0.6036236,0.60992426,0.6022662,0.58103687,0.5483934,0.5130498,0.48242685,0.4675498,0.46985888,0.48495245,0.5020189,0.51590735,0.52742034,0.5369511,0.5405074,0.53104883,0.5115325,0.49267313,0.48744023,0.4977053,0.5166456,0.53469974,0.54627365,0.5512323,0.5533774,0.56007105,0.5767915,0.6022067,0.6278388,0.6430907,0.64630383,0.6391357,0.6294512,0.6186042,0.61357456,0.6125564,0.6103418,0.59116536,0.55037534,0.5002419,0.46306756,0.4529688,0.4667941,0.49620953,0.53041214,0.5583794,0.567267,0.55662996,0.54287773,0.5448425,0.5642304,0.5821204,0.58112735,0.55897236,0.52850515,0.5039479,0.49555525,0.50720114,0.5309773,0.54869014,0.5417715,0.51198095,0.47901496,0.46587494,0.47659156,0.49965563,0.519747,0.53061575,0.53439635,0.5370886,0.5452203,0.5617017,0.5836151,0.60286593,0.609417,0.5986777,0.56863564,0.5266089,0.48139724,0.44827852,0.43427137,0.4402844,0.45830712,0.48305416,0.51387626,0.5478246,0.575336,0.5811644,0.5634056,0.5337906,0.5124941,0.5071106,0.5135727,0.52163535,0.52657634,0.5293037,0.5340298,0.5454723,0.56573105,0.5913621,0.61558104,0.63113683,0.63907933,0.63986164,0.6378061,0.6305825,0.6235321,0.6163695,0.6078181,0.5869579,0.550284,0.50561196,0.46894538,0.45174682,0.45533696,0.47798443,0.51436037,0.5545159,0.58316106,0.59313065,0.59190434,0.5912407,0.59304374,0.5858057,0.5641921,0.53505903,0.5151689,0.5132449,0.52903956,0.55461866,0.57754964,0.5828883,0.5602381,0.5176104,0.47747004,0.46244797,0.47555923,0.5031385,0.5278644,0.54174733,0.54726386,0.5515855,0.56304145,0.5845258,0.61258405,0.63605016,0.64330775,0.6280603,0.591747,0.5450744,0.50003046,0.468653,0.45246813,0.44875702,0.4518563,0.46321043,0.48694217,0.5215263,0.55451053,0.56806755,0.55726093,0.533307,0.5167416,0.51778847,0.5328649,0.5491887,0.55667776,0.5529682,0.54452616,0.54254985,0.5553775,0.58088464,0.6085108,0.625799,0.6306469,0.62432146,0.6139397,0.6004641,0.5917075,0.58820915,0.5887487,0.5805965,0.5589884,0.529012,0.50442654,0.4934162,0.4952313,0.5078096,0.52790195,0.550832,0.5656757,0.5673358,0.55880666,0.54960924,0.54358023,0.53872555,0.5315153,0.521251,0.5081669,0.49153113,0.47068143,0.44583833,0.41766354,0.38671902,0.3549771,0.3259615,0.30312982,0.28762594,0.27835444,0.27347934,0.2713414,0.2704893,0.26911747,0.26565215,0.2595669,0.25141492,0.24150367,0.22862808,0.21192493,0.19306077,0.17696016,0.16780269,0.1663671,0.16964827,0.17432101,0.17837735,0.18143433,0.18345623,0.1845144,0.18465464,0.18366356,0.18041341,0.17294027,0.15985863,0.14248963,0.12552102,0.1152274,0.11589438,0.1275994,0.14628963,0.1664372,0.18305176,0.19279526,0.19354351,0.18550801,0.172444,0.16215283,0.16206197,0.17406817,0.1917705,0.20558901,0.20957054,0.20523705,0.19825889,0.19338137,0.19177938,0.19181286,0.19133742,0.1885453,0.18292831,0.17446245,0.16478355,0.15692122,0.15617073,0.16674964,0.18917243,0.21843763,0.24738674,0.27079165,0.28711954,0.29736105,0.30260393,0.3039789,0.3021989,0.2980657,0.29121816,0.28101316,0.2659957,0.24518657,0.21799748,0.18712974,0.15856089,0.14038284,0.13659064,0.14486997,0.15727736,0.16734523,0.17302279,0.17714073,0.18246782,0.18996601,0.19818889,0.20497786,0.20793599,0.20512635,0.19593036,0.18119001,0.16281809,0.14336711,0.12705626,0.11970963,0.1261834,0.14610647,0.17183505,0.19172545,0.1963621,0.1841503,0.16241592,0.14424394,0.14291842,0.16511804,0.20718396,0.25620583,0.29815432,0.32539773,0.33895,0.34370032,0.34369108,0.3409752,0.33629653,0.3305525,0.32505277,0.32465565,0.3348372,0.3584404,0.38979504,0.41954613,0.44094524,0.45266804,0.4578357,0.45989516,0.46713266,0.48350883,0.50415707,0.51181835,0.4977152,0.47500065,0.46625903,0.47965112,0.4973471,0.50590515,0.5064258,0.511961,0.5181837,0.5140533,0.49716273,0.48169962,0.47956204,0.4856219,0.49035063,0.49067542,0.49464703,0.50501853,0.5180106,0.52630216,0.5284269,0.528872,0.5347202,0.55139226,0.57697064,0.6012867,0.609346,0.5930896,0.55641997,0.5129504,0.47444305,0.44664013,0.42910805,0.42067477,0.4192169,0.42357194,0.43323365,0.45045593,0.47471538,0.5015814,0.5220063,0.5333677,0.5393581,0.5484908,0.56214726,0.5763541,0.5844708,0.58486646,0.5798332,0.5739932,0.57019377,0.5686798,0.5674847,0.5661058,0.5663443,0.5700057,0.57290465,0.56685305,0.54585737,0.51542175,0.48716083,0.47108936,0.4661255,0.46546307,0.46068898,0.44763365,0.4243673,0.39337182,0.35947046,0.3293315,0.3061076,0.28962263,0.2766833,0.26465678,0.25191987,0.23910494,0.2278589,0.2191119,0.21043378,0.19864255,0.1867746,0.18798108,0.21876363,0.28179964,0.36061075,0.4285439,0.47282732,0.49803066,0.5183963,0.53892314,0.55727345,0.56916803,0.57624096,0.5826335,0.59161276,0.60244095,0.60817194,0.5978953,0.56472063,0.5157597,0.4688542,0.43747762,0.41833332,0.39750218,0.36615172,0.32872346,0.2957991,0.27415466,0.26297572,0.25734568,0.2520539,0.24393664,0.23311214,0.22251105,0.21530198,0.21337806,0.21883303,0.23868437,0.28123274,0.34659323,0.41974118,0.47895074,0.5146999,0.5320416,0.5423808,0.54656196,0.54329604,0.5347565,0.5296564,0.5310928,0.53428227,0.5349291,0.53247225,0.5278096,0.51627976,0.49553725,0.4709382,0.45361206,0.4507523,0.4616437,0.4832857,0.5105402,0.53498,0.54398364,0.5327897,0.5096057,0.49068284,0.48469266,0.48839185,0.4927865,0.49285746,0.48908734,0.4852256,0.48589706,0.49515748,0.51116985,0.5254189,0.5265996,0.5122351,0.48903582,0.46839854,0.4557223,0.45089886,0.44990185,0.44983074,0.44858375,0.44647244,0.44442406,0.44392946,0.44494987,0.4473307,0.45071006,0.45403,0.45344707,0.44277242,0.41756427,0.3786895,0.3321993,0.28598544,0.24961168,0.23532937,0.25501445,0.30778742,0.37565935,0.43156672,0.4622352,0.47281417,0.47934958,0.4896027,0.5028155,0.5136521,0.5202484,0.5216825,0.517965,0.5086159,0.49486223,0.47857198,0.46475744,0.45977113,0.468524,0.48471984,0.49387607,0.48337147,0.45926395,0.4406854,0.44422343,0.46725368,0.49301052,0.5028661,0.4869804,0.44479477,0.38454548,0.32000217,0.26598403,0.23023182,0.21155739,0.20340979,0.20141004,0.20468026,0.21376981,0.22581798,0.23608916,0.2389955,0.23327129,0.2217058,0.21302654,0.21684174,0.23952155,0.27872476,0.32448837,0.3642485,0.3885561,0.39513627,0.38962105,0.3847729,0.39357233,0.4189297,0.4496826,0.46970287,0.4747059,0.4743531,0.48153022,0.49726757,0.51315033,0.5171692,0.50226355,0.4665338,0.42052707,0.38501883,0.38066295,0.4095072,0.4526149,0.48795012,0.50748014,0.518733,0.5294252,0.5399917,0.5464875,0.5474103,0.5447452,0.54169875,0.541685,0.5470701,0.55441016,0.5560731,0.54517937,0.5261758,0.50953835,0.50429624,0.50865364,0.5159345,0.5203665,0.5212183,0.5208959,0.5223566,0.5286365,0.53854245,0.5482219,0.5493007,0.5379844,0.51392895,0.48402044,0.45608094,0.43934453,0.4410769,0.4613581,0.49120268,0.5157322,0.5282828,0.53282815,0.53551775,0.5344258,0.52136797,0.49724945,0.47108355,0.4548382,0.45047894,0.4573598,0.47307023,0.49393973,0.51028043,0.5128617,0.5031664,0.49163377,0.48923907,0.49606693,0.5063317,0.5138084,0.51865834,0.5246041,0.5358141,0.5534966,0.5723933,0.58328074,0.5760822,0.55042195,0.51281106,0.47293365,0.4318508,0.38685584,0.33522877,0.28148162,0.23357318,0.20252961,0.20011978,0.23476648,0.30147895,0.37977326,0.44364047,0.4809842,0.4967774,0.50505334,0.5121954,0.5176161,0.5179675,0.5148154,0.51137334,0.5098794,0.50873584,0.50475377,0.49658966,0.48849165,0.48900875,0.5035326,0.5255189,0.5395619,0.5334067,0.51166546,0.48886147,0.47781315,0.47703835,0.47922134,0.47618568,0.4662129,0.44909,0.42855597,0.4077687,0.3886015,0.36688378,0.3373718,0.29928663,0.26032174,0.23178846,0.22306918,0.23773997,0.2778063,0.33918396,0.41307104,0.47854623,0.5187372,0.5237451,0.5031969,0.47370914,0.45559832,0.4595089,0.48191118,0.5057111,0.5114778,0.4947443,0.46722266,0.44708192,0.44353577,0.4553084,0.47685936,0.5005794,0.5175217,0.5186286,0.50538796,0.4897209,0.48545396,0.49573207,0.51341605,0.5319183,0.54824567,0.56268674,0.5692968,0.5639748,0.544074,0.5171706,0.49224564,0.48068595,0.4879755,0.5108631,0.5358891,0.5463321,0.5374144,0.5175409,0.5022283,0.498992,0.5070417,0.52192825,0.5379145,0.5479445,0.5436422,0.5257475,0.5034628,0.48873118,0.4852397,0.48990548,0.5011766,0.51800126,0.53876907,0.55216885,0.5510405,0.53208214,0.50642437,0.48539042,0.4800872,0.4928908,0.51883054,0.5483992,0.56775254,0.5695994,0.55095315,0.5221335,0.49525502,0.48295677,0.48577437,0.49814853,0.5113812,0.52441233,0.5386874,0.5549001,0.5642035,0.55727977,0.5308222,0.49695504,0.472679,0.4695026,0.48443222,0.5063821,0.52521735,0.53621984,0.5395185,0.5363286,0.5296673,0.5220584,0.5160772,0.5120395,0.5092454,0.5047543,0.49514177,0.4785026,0.45775416,0.43885255,0.42658827,0.4209219,0.42046964,0.42642567,0.44295657,0.4681995,0.49193946,0.5005439,0.49232912,0.47714147,0.46839353,0.46894035,0.47418404,0.4785844,0.4820405,0.4865938,0.49280944,0.4986712,0.50109285,0.49930394,0.49592566,0.49670646,0.50494725,0.5164933,0.52141255,0.5120368,0.49307275,0.47689757,0.4745413,0.4849569,0.499467,0.5070639,0.5010683,0.47878873,0.44365576,0.40114975,0.3569909,0.31226018,0.26964176,0.23522384,0.21992183,0.22911374,0.258463,0.29278934,0.3163338,0.31856978,0.29993892,0.26848674,0.23788582,0.22043853,0.22234027,0.24018602,0.26368287,0.2826784,0.29183272,0.29313806,0.29413506,0.3068284,0.34052375,0.39277884,0.44659054,0.48126408,0.4904815,0.48466957,0.48032975,0.48369464,0.4912578,0.49545455,0.49197116,0.48104095,0.46863297,0.46572232,0.47845984,0.50314397,0.52510995,0.5360623,0.53684086,0.53700763,0.5394183,0.5421484,0.54144585,0.5389846,0.5386129,0.54398465,0.555803,0.5719599,0.5845248,0.5839842,0.5641934,0.531808,0.50029117,0.48189056,0.47749564,0.48103356,0.48594,0.48997846,0.4947494,0.50280184,0.516378,0.5310748,0.5371074,0.5226603,0.48930895,0.45077893,0.42681193,0.42628893,0.44737434,0.4814187,0.51687646,0.5419108,0.5473338,0.5378987,0.52552944,0.51871485,0.5108443,0.49151683,0.461084,0.4307501,0.41163373,0.40491918,0.40912387,0.4232483,0.44553617,0.4685874,0.48392737,0.49052402,0.49341068,0.4980638,0.5029979,0.50490063,0.5014776,0.49489924,0.4893154,0.49011588,0.5021136,0.5228352,0.5430235,0.5483041,0.5345414,0.5050119,0.46964988,0.43101278,0.39060485,0.34869567,0.30971977,0.27791175,0.2596455,0.2647711,0.3009617,0.3635353,0.43076217,0.47797665,0.49609944,0.49584952,0.49467444,0.49992618,0.5084391,0.5132782,0.5119403,0.50571805,0.49829283,0.49343452,0.49309543,0.49688175,0.50358987,0.5144677,0.53110075,0.55040175,0.56313276,0.56095284,0.54515785,0.5246158,0.507323,0.49364105,0.48028064,0.46397114,0.4427903,0.4137411,0.37678948,0.3363982,0.30217004,0.28106382,0.27573833,0.28379965,0.3017501,0.32579505,0.35141766,0.37359977,0.3851459,0.37885058,0.3516476,0.31283593,0.28536478,0.2921053,0.3373491,0.39911994,0.4473357,0.46672046,0.4647062,0.45752177,0.45419216,0.4547895,0.45690808,0.46097457,0.46895632,0.48280826,0.5041348,0.5299361,0.55260617,0.56049234,0.5498662,0.52405024,0.49252307,0.45915794,0.42491785,0.38759923,0.34730017,0.30546403,0.26771656,0.24336989,0.23935765,0.2531542,0.2699559,0.27490154,0.26354757,0.24595506,0.23571472,0.2423507,0.26974672,0.31753185,0.37788376,0.4353896,0.47603336,0.49887004,0.5107345,0.5172364,0.51585644,0.50871116,0.5012949,0.49879766,0.49750054,0.49558792,0.4989679,0.5139432,0.53569776,0.5481262,0.5420058,0.5195661,0.49149296,0.46481684,0.44594732,0.4415612,0.45396325,0.47564486,0.49095705,0.4928253,0.4846457,0.47799456,0.47687635,0.47987664,0.48054418,0.47404447,0.4576893,0.43635848,0.42327893,0.43058074,0.45635793,0.48301664,0.49331424,0.4866248,0.4767274,0.47704852,0.48824987,0.5030187,0.5142148,0.52005416,0.52127033,0.5191019,0.5150772,0.51031065,0.50568086,0.5004843,0.49427032,0.48411882,0.46595764,0.43515703,0.39347854,0.3485463,0.31016138,0.2832974,0.27042332,0.27675405,0.3091326,0.36506364,0.42640784,0.4696182,0.4849566,0.48133948,0.4752703,0.47467813,0.47852802,0.48304906,0.4882891,0.4959252,0.50641704,0.51720566,0.5240324,0.52406126,0.5193419,0.51678556,0.5209663,0.5266769,0.5207906,0.49577236,0.46011388,0.43209016,0.42377988,0.4313563,0.441455,0.44099233,0.4229833,0.38725337,0.34150767,0.29904532,0.27041748,0.2561278,0.24825822,0.24109726,0.23569895,0.23580527,0.23936744,0.24071167,0.23632748,0.22895585,0.22244169,0.21972132,0.22353433,0.23813045,0.2643926,0.29636815,0.32432297,0.34206155,0.35038853,0.3548268,0.36345914,0.3843983,0.42055988,0.4619588,0.48935595,0.4891657,0.46926805,0.45185432,0.45445323,0.4743363,0.49601758,0.503683,0.48990574,0.4568814,0.41737854,0.39242515,0.39514753,0.42066965,0.44661057,0.45913804,0.46031702,0.46440196,0.4755107,0.48894778,0.49811372,0.50423473,0.51143426,0.5224722,0.5375276,0.5557849,0.57256156,0.58102626,0.5753918,0.55876964,0.53777903,0.5186925,0.5019731,0.48929068,0.4837503,0.4891399,0.50415397,0.5243771,0.54529935,0.5628068,0.5739744,0.57467514,0.5655524,0.54656047,0.52170426,0.49466038,0.47610345,0.47476903,0.4906865,0.5104747,0.5188138,0.51437193,0.5078022,0.5082385,0.5102558,0.50313634,0.48489165,0.46387717,0.44951406,0.4441531,0.4499309,0.46778226,0.4947733,0.51728344,0.52328813,0.5121256,0.49633858,0.48799708,0.4904177,0.50014,0.51351076,0.52924705,0.54687375,0.56579137,0.58453745,0.59768623,0.5971841,0.5772521,0.5427788,0.5046527,0.47090125,0.43917438,0.4040319,0.36486077,0.32743275,0.29892197,0.28571054,0.295787,0.33396342,0.39425933,0.45624065,0.49906564,0.51636916,0.518922,0.5207274,0.5268884,0.53377694,0.5370723,0.536461,0.53473896,0.53415436,0.53531915,0.53654456,0.5363874,0.53533936,0.53734875,0.5450066,0.55487746,0.5572136,0.54453474,0.5193921,0.49220684,0.47303867,0.46411625,0.46216476,0.45944253,0.44764194,0.41934144,0.3760321,0.32821253,0.28955606,0.26613924,0.25457314,0.2500147,0.25117275,0.26024243,0.2766269,0.30003694,0.33416376,0.38387918,0.44762924,0.50948083,0.55204564,0.56299144,0.5474728,0.51789004,0.49270058,0.48386988,0.49322686,0.5096348,0.51774335,0.51163167,0.49705923,0.48515233,0.48159036,0.4865315,0.4983228,0.5117271,0.5182793,0.50876176,0.48625222,0.46295562,0.452193,0.4557248,0.46870086,0.4877518,0.51185495,0.5388651,0.5589068,0.5653503,0.5551637,0.53713936,0.5202053,0.51471597,0.52140814,0.53294295,0.5344047,0.51661235,0.48520127,0.45628586,0.4427433,0.44428894,0.45412743,0.4680262,0.484558,0.49918106,0.50313365,0.4936304,0.47707057,0.46494377,0.4632211,0.4720267,0.49028024,0.51614934,0.54609895,0.56951326,0.5784209,0.56730175,0.542468,0.512496,0.49058962,0.48450294,0.49651352,0.5205646,0.54439056,0.55835456,0.5568092,0.5447681,0.5282013,0.51439494,0.50479144,0.50105214,0.50287575,0.5097477,0.51622856,0.51560134,0.5024793,0.47850004,0.44965896,0.42310926,0.40240422,0.38802072,0.3789586,0.37435135,0.37327048,0.37400326,0.37435022,0.3722265,0.36662164,0.3575306,0.3465848,0.33644798,0.33083674,0.3316269,0.33829615,0.3468854,0.3537955,0.35697046,0.3574983,0.35695624,0.35666677,0.3564714,0.35582033,0.35391775,0.35079274,0.34706542,0.34390998,0.341962,0.34138608,0.34221348,0.34488976,0.34990492,0.35697666,0.3649514,0.37225017,0.37755612,0.38009378,0.37959528,0.37639984,0.37113157,0.3646041,0.35766947,0.35117236,0.34579834,0.3414888,0.33779323,0.33416724,0.330729,0.3278542,0.32579777,0.32462004,0.32448277,0.3259859,0.32924202,0.33361998,0.33754346,0.34006572,0.34127393,0.34249195,0.3447233,0.34784123,0.350459,0.35080576,0.34736577,0.3385054,0.32320097,0.3026712,0.28046632,0.26010263,0.24077128,0.22087824,0.20028795,0.18392694,0.17372829,0.16887657,0.16650413,0.16854942,0.17781842,0.1921127,0.20271237,0.20034747,0.18412924,0.16223735,0.14859942,0.15547393,0.18807028,0.24135162,0.30142286,0.3528897,0.3858237,0.3997345,0.40015283,0.39413607,0.38590884,0.37596586,0.3616501,0.3395829,0.3079081,0.26856357,0.22704232,0.19232027,0.17273231,0.17469364,0.19770251,0.23707807,0.28270993,0.32608345,0.35988343,0.3826642,0.39514175,0.40061405,0.40124437,0.39850482,0.39227983,0.3821286,0.36765495,0.34930718,0.32825148,0.30655882,0.28685245,0.27176747,0.26230964,0.25647104,0.24946648,0.235965,0.2131552,0.18250449,0.15041275,0.12774031,0.12602766,0.15101595,0.19520779,0.24072678,0.26892957,0.2736143,0.26126108,0.24434245,0.23083402,0.222513,0.2172426,0.2133177,0.21029139,0.2077111,0.20289008,0.19156255,0.17158972,0.14778213,0.13126136,0.13202284,0.15101849,0.1781621,0.20129125,0.21324562,0.21626805,0.21611023,0.2195859,0.23102225,0.2524458,0.2813955,0.31172004,0.337302,0.3557916,0.3693001,0.3803439,0.3896167,0.3957043,0.3978481,0.39638865,0.39262047,0.38731587,0.38094378,0.37372902,0.36615744,0.35856736,0.3509653,0.34300828,0.33461997,0.3264381,0.31959274,0.31472793,0.3114717,0.30877587,0.30593023,0.3027102,0.29909813,0.2948356,0.2899227,0.28475097,0.2800531,0.27616754,0.27309737,0.27060747,0.26869544,0.26740202,0.2668356,0.26710624,0.2684876,0.27127028,0.2753339,0.27984318,0.2834201,0.28506377,0.28476366,0.28327122,0.28104982,0.27770555,0.27230585,0.26390663,0.25395077,0.24808621,0.25773475,0.29095086,0.34481713,0.40105164,0.4413084,0.45845723,0.46025312,0.45839396,0.46158692,0.47578612,0.49990728,0.5241625,0.5290138,0.5045926,0.45842275,0.41379526,0.38767982,0.38165808,0.38398078,0.38246962,0.37183794,0.35434818,0.33573878,0.31954268,0.3041365,0.28412628,0.25617015,0.22378612,0.1962675,0.1818872,0.18051757,0.1835066,0.1804593,0.16704905,0.14706506,0.12802036,0.11737063,0.11905089,0.13334842,0.15471624,0.17500472,0.18714266,0.19024439,0.18823747,0.18619347,0.18692134,0.19076313,0.19731145,0.20542246,0.21263938,0.21415325,0.20517457,0.18508907,0.16023128,0.1418425,0.13814867,0.14900048,0.16456728,0.17308344,0.16725999,0.14884585,0.12619503,0.11016031,0.11010733,0.12909998,0.16231833,0.196965,0.22093041,0.22898257,0.22591536,0.21971749,0.21602137,0.21539699,0.2160003,0.21576923,0.2135235,0.20910974,0.20332277,0.19762142,0.19323923,0.19107623,0.19218516,0.1976794,0.20766133,0.21946506,0.22919224,0.23367088,0.23302715,0.22903036,0.22384019,0.21839364,0.21318994,0.2085352,0.20478503,0.20213266,0.20046538,0.19963177,0.19938026,0.19955301,0.19952832,0.19829911,0.1945191,0.18746795,0.17742199,0.16560525,0.15336655,0.1415835,0.13062818,0.12068602,0.11208918,0.105196334,0.100214295,0.09695262,0.09497724,0.09378483,0.09306633,0.09264794,0.09242517,0.09226692,0.09204484,0.091694824,0.091176294,0.09052352,0.089757524,0.0889751,0.088214256,0.08750561,0.08679452,0.08608583,0.08542944,0.08491766,0.084571265,0.08434227,0.08419332,0.08416324,0.08433672,0.08479646,0.0856343,0.087044895,0.089093834,0.091509074,0.09353546,0.09657028,0.10760287,0.14239621,0.2176853,0.33798102,0.4823412,0.611852,0.6907994,0.7089031,0.683909,0.6451843,0.61557746,0.60153186,0.59929436,0.6015257,0.60457665,0.6066486,0.60837454,0.60916024,0.6071523,0.59514666,0.5624871,0.49935463,0.40517357,0.2929196,0.18392672,0.09807375,0.043293227,0.015979962,0.0060669226,0.004763894,0.0065831784,0.008887421,0.010552618,0.011604488,0.012779393,0.014288011,0.015506056,0.015687903,0.015193014,0.014966753,0.015441164,0.016216181,0.01707047,0.018438553,0.020340834,0.02191698,0.022213085,0.021742938,0.021672338,0.022342443,0.022856472,0.02271401,0.02261891,0.023640541,0.026721844,0.03356125,0.046052188,0.0629708,0.07722339,0.07985681,0.06734358,0.0454251,0.026581988,0.026205463,0.062680036,0.15049376,0.2889241,0.4470171,0.5726178,0.6153465,0.5588656,0.42996064,0.2883949,0.19870086,0.20191987,0.29794025,0.44585776,0.58764595,0.6778824,0.70499015,0.686711,0.65084225,0.61701727,0.5916471,0.5739085,0.56234795,0.558788,0.567564,0.5933853,0.63479906,0.6822467,0.7179319,0.7295677,0.714799,0.6866567,0.6588507,0.6440656,0.6457761,0.66627425,0.7007336,0.74213624,0.77960914,0.80765635,0.8231251,0.8231297,0.80062217,0.7510186,0.67992157,0.60353094,0.5416859,0.5049005,0.49290165,0.4960194,0.50664634,0.5205355,0.5370657,0.5523048,0.56126,0.56170076,0.558273,0.55744463,0.5619659,0.5706133,0.5819961,0.5953932,0.606682,0.61068374,0.6086092,0.6134058,0.6393997,0.68831587,0.7441091,0.78741866,0.8104582,0.8206443,0.8279306,0.8339595,0.8348217,0.82847863,0.82071894,0.8159964,0.8168952,0.82098395,0.8271186,0.83016324,0.82467866,0.8089404,0.79105663,0.78133565,0.77946347,0.7715638,0.74202085,0.68981,0.629875,0.5815942,0.55452824,0.54572695,0.5463042,0.5488534,0.5499132,0.54776245,0.54188794,0.53242826,0.5199482,0.5010192,0.4668781,0.40738833,0.3210169,0.22074193,0.12818564,0.062383685,0.031303726,0.034667227,0.06509914,0.10879015,0.14610744,0.16417615,0.1658448,0.16471809,0.16814649,0.17121072,0.16893446,0.16581903,0.16933204,0.17648047,0.17761798,0.17059588,0.163655,0.16290368,0.16372317,0.16088359,0.15744008,0.16013657,0.16677599,0.1695353,0.16683745,0.16560495,0.16974057,0.17437841,0.17655146,0.18137312,0.19358115,0.2027594,0.19071066,0.15011121,0.09484685,0.049591046,0.035965905,0.07109096,0.16356958,0.3070185,0.46518946,0.58485633,0.61811256,0.55414987,0.42307934,0.28455538,0.20096076,0.21182811,0.31681076,0.4734176,0.61896783,0.7024222,0.70980024,0.6646247,0.6053056,0.56216687,0.5438442,0.54432416,0.55278546,0.56442696,0.58108276,0.60734034,0.64388955,0.6843805,0.7172114,0.73289305,0.7285454,0.7106839,0.6880707,0.67012566,0.66211605,0.66963434,0.69244903,0.7255028,0.7565623,0.77739805,0.78510934,0.7818716,0.7676058,0.7424603,0.7118168,0.6855982,0.6725517,0.67182475,0.67759615,0.68231255,0.6838465,0.68075913,0.6727641,0.6570897,0.6352749,0.61225635,0.5975533,0.593347,0.59565264,0.5945371,0.5889651,0.580957,0.5732623,0.5570546,0.52184045,0.46187294,0.38490176,0.30721006,0.24434693,0.20403516,0.18289442,0.17328566,0.16770689,0.16312931,0.1587202,0.1546032,0.15072499,0.14672422,0.14182052,0.13479154,0.12497894,0.1134775,0.103383906,0.09851883]