[3.827802E-05,3.4903893E-05,2.8231823E-05,2.1258433E-05,1.5961743E-05,1.2643442E-05,1.0599062E-05,9.284253E-06,8.5244865E-06,8.265383E-06,8.2068555E-06,7.969441E-06,7.4285485E-06,6.9490725E-06,7.0910405E-06,8.0714335E-06,9.51182E-06,1.07084425E-05,1.1283683E-05,1.33415815E-05,0.00021270133,0.0016276833,0.006702926,0.01890131,0.040112976,0.06815961,0.09652302,0.1184238,0.13071258,0.1351798,0.13548951,0.13438033,0.13255133,0.12993246,0.12663288,0.12329867,0.12055949,0.118723325,0.11749241,0.11647848,0.11569595,0.116204,0.11917633,0.12477806,0.13116924,0.13567568,0.13660447,0.13402843,0.1295028,0.12429672,0.11940781,0.11488542,0.11069026,0.10652252,0.10214347,0.09769838,0.09320552,0.08980394,0.08910242,0.094129674,0.1056183,0.1214269,0.13540818,0.14285146,0.14234902,0.13703911,0.13036342,0.12446415,0.11942183,0.1148338,0.11047461,0.10641014,0.10276049,0.09953026,0.09664979,0.094251,0.09289321,0.09366917,0.097506575,0.104219526,0.11207541,0.118517876,0.12190979,0.12209787,0.120420665,0.118033685,0.11584523,0.11378002,0.11183983,0.1095377,0.106643416,0.10241493,0.096367,0.08823076,0.07951972,0.07347716,0.07435763,0.08404357,0.10036782,0.11751461,0.13014905,0.1360148,0.13654985,0.13429968,0.13138695,0.12866904,0.12646975,0.12469879,0.12324783,0.12180402,0.12020575,0.11829222,0.11641237,0.11540725,0.1170007,0.12256292,0.13196933,0.14230932,0.14964038,0.15114589,0.14715965,0.13989265,0.13182302,0.12414879,0.117168315,0.11061436,0.104367934,0.0984995,0.09341976,0.089796394,0.08884013,0.09239378,0.101801604,0.11613518,0.13150394,0.14305718,0.14822777,0.1477247,0.14427006,0.13996087,0.1358745,0.13219482,0.12901264,0.12611918,0.12318018,0.119903624,0.11619521,0.112145476,0.107986696,0.104381055,0.1024821,0.103538215,0.10762623,0.1130642,0.11678896,0.116461866,0.11144915,0.10307953,0.093201764,0.08375981,0.07614023,0.07112192,0.0684286,0.06716055,0.06652445,0.066302896,0.06660923,0.067487665,0.06921194,0.07281717,0.079357065,0.088675775,0.09818357,0.10490894,0.10715858,0.1062069,0.10412484,0.10258102,0.10157347,0.1006437,0.09940532,0.09793851,0.09646424,0.094941,0.09337252,0.09211671,0.09285282,0.09791734,0.10856834,0.12284428,0.13587625,0.14322986,0.14373478,0.13985066,0.13458943,0.12952502,0.12439126,0.118771575,0.112763755,0.10711551,0.10242587,0.09899277,0.09663698,0.09505221,0.094013415,0.093405664,0.09296795,0.09199492,0.08979394,0.08628141,0.08230147,0.07897433,0.07687449,0.075780876,0.075093426,0.07446677,0.07393674,0.07368938,0.07371723,0.07372113,0.07334554,0.07235741,0.07083792,0.06897754,0.066994734,0.06494843,0.062858105,0.060767423,0.05876215,0.05697027,0.055379853,0.053983454,0.052618634,0.051304948,0.050050322,0.049043793,0.048290323,0.04771356,0.0471177,0.046370793,0.04549584,0.044513408,0.04355043,0.04258667,0.041725606,0.040899128,0.04014306,0.03933132,0.038447995,0.037438333,0.036364947,0.0353002,0.034284707,0.03333674,0.032385334,0.031444907,0.030475348,0.029555194,0.028698958,0.02800391,0.02745603,0.027012033,0.026540786,0.025950113,0.025232112,0.02443255,0.023631034,0.022836821,0.022076217,0.021356674,0.020746948,0.020290872,0.020030493,0.019945139,0.019925522,0.01974129,0.019167937,0.018408066,0.018461043,0.021078238,0.027578428,0.037587877,0.04846495,0.05689059,0.060811255,0.06064728,0.05832154,0.055779,0.054136977,0.05375728,0.054659214,0.056364506,0.058074046,0.058871955,0.058362067,0.05672436,0.054412995,0.051813316,0.049087588,0.04641367,0.043877292,0.041458443,0.039030258,0.03663045,0.034616724,0.033372954,0.033151697,0.033813924,0.034954082,0.03571637,0.035146076,0.032775905,0.029915651,0.030196264,0.0388138,0.058974367,0.088822655,0.12062928,0.14568864,0.15904266,0.16217299,0.15963511,0.15583521,0.15250374,0.14968894,0.14665347,0.14306824,0.13914113,0.13549761,0.13275282,0.13101506,0.13014193,0.12986106,0.13032818,0.13139413,0.13249491,0.13238408,0.13025023,0.12629752,0.12140852,0.11671158,0.112357825,0.10860107,0.10503474,0.10194311,0.099096805,0.09660199,0.09433413,0.09278959,0.09347973,0.09863278,0.10940703,0.12399467,0.13761891,0.14608051,0.14807014,0.1458184,0.1417983,0.13732243,0.13245535,0.12722269,0.12220474,0.1176734,0.11391137,0.110746644,0.10838174,0.106684744,0.105472386,0.10446012,0.10375952,0.10373717,0.104228415,0.104460575,0.10341836,0.100972235,0.09775219,0.094676696,0.09227666,0.09056866,0.089401804,0.08825383,0.08671859,0.08395085,0.07948825,0.07291421,0.065222956,0.058654178,0.057101887,0.06408156,0.08060282,0.10334443,0.12587237,0.14251502,0.15115291,0.15373181,0.15308058,0.1513836,0.14906281,0.14631517,0.14313658,0.1399554,0.137082,0.13483845,0.13342632,0.13292575,0.13348521,0.13495307,0.13728018,0.13992327,0.14236929,0.14340614,0.14222632,0.13846727,0.13314034,0.12758337,0.12294396,0.11939454,0.11650116,0.1135244,0.10994616,0.10559874,0.101239346,0.09841146,0.0995109,0.10567576,0.11587026,0.12613742,0.1327035,0.13387547,0.13104685,0.12647226,0.121705085,0.117177606,0.11289776,0.10903018,0.10574012,0.10301859,0.10060614,0.098187976,0.0956856,0.09336936,0.092070125,0.0929735,0.09698067,0.103514574,0.110293694,0.11435423,0.114116676,0.11008225,0.10439181,0.099042565,0.09501645,0.091964506,0.08901391,0.08548183,0.081193835,0.07642957,0.07177275,0.06841126,0.06806427,0.072439246,0.08162174,0.09317177,0.1027021,0.10676024,0.104941756,0.09983193,0.09434882,0.08993721,0.08635386,0.083128445,0.08003626,0.077224165,0.074558854,0.07186246,0.06900735,0.066177905,0.06373946,0.061931685,0.06078933,0.06001712,0.059304137,0.058435112,0.057437222,0.05642916,0.055476185,0.05454722,0.05354495,0.052409742,0.05116801,0.04989305,0.048635855,0.047359616,0.046041954,0.044704527,0.04343495,0.042281613,0.04127823,0.040392626,0.03958903,0.038770378,0.03790179,0.036980364,0.03610282,0.035364684,0.03482804,0.034459893,0.034101352,0.033585247,0.032777056,0.03176071,0.030712103,0.029865475,0.029279726,0.028861104,0.028426597,0.027851105,0.027195007,0.026594521,0.026186058,0.025909698,0.02562412,0.025221976,0.024740504,0.024307854,0.023946924,0.023600936,0.023124322,0.022501891,0.021782875,0.021083927,0.02044694,0.019851295,0.01931358,0.019158999,0.020435335,0.024850108,0.033689965,0.046505123,0.060522527,0.07245403,0.0793365,0.080081336,0.07455369,0.06588445,0.0586303,0.05782026,0.06388617,0.07377627,0.08290548,0.09018109,0.09866919,0.11325806,0.13584353,0.16199134,0.18343128,0.19357204,0.19253165,0.18560083,0.17868912,0.17385037,0.16922915,0.16117167,0.14786859,0.13061,0.113210835,0.09866732,0.087618165,0.07975248,0.07649982,0.08251754,0.100846194,0.1292546,0.15716757,0.17323488,0.17206001,0.15936537,0.14601682,0.14040132,0.14374655,0.15202846,0.16029888,0.1649277,0.1643367,0.15869324,0.14960977,0.13904071,0.12803982,0.116406955,0.10328511,0.088285334,0.07197622,0.055874407,0.04164764,0.030523017,0.022964261,0.019265456,0.020117603,0.026597003,0.039031893,0.055865932,0.07365554,0.08907715,0.10313534,0.12474837,0.16980672,0.24985643,0.35837242,0.4657925,0.5345978,0.5418716,0.4913951,0.4071642,0.31644788,0.23906535,0.18319072,0.14896,0.13121864,0.12385557,0.12154723,0.12096303,0.12047416,0.11981696,0.11964489,0.120966755,0.124383,0.12934782,0.13394994,0.13582164,0.13383906,0.12902774,0.12403288,0.12106311,0.12070339,0.12167418,0.12212065,0.12049124,0.1161519,0.109229974,0.10138459,0.09582878,0.0972882,0.10737596,0.12323097,0.13635196,0.14059879,0.13406359,0.12131014,0.1065667,0.09288228,0.080521256,0.069766894,0.0607271,0.05363931,0.048357327,0.04455194,0.04180893,0.03994059,0.039388005,0.041622654,0.048462663,0.060406882,0.07509794,0.08815435,0.09609266,0.098728575,0.09894475,0.10041797,0.10606537,0.11680877,0.13093965,0.14342232,0.1485455,0.14327757,0.1295872,0.11247599,0.09746871,0.08966946,0.09401166,0.11411965,0.1488625,0.19069047,0.22792779,0.2510929,0.25782344,0.25315598,0.24510343,0.23972088,0.23883922,0.24093968,0.24339958,0.24448039,0.24400423,0.24281533,0.24159382,0.24025123,0.23819406,0.23485158,0.23005088,0.22393875,0.21734728,0.21177451,0.20923917,0.21107943,0.21702105,0.22486763,0.23157515,0.23487441,0.23418134,0.23044074,0.22477144,0.21764164,0.20894831,0.19892241,0.18874197,0.17847992,0.16666546,0.14987452,0.12770674,0.10274597,0.08061652,0.06440706,0.054653034,0.04921266,0.04624926,0.04434057,0.042778652,0.041444924,0.041074533,0.043193083,0.04843794,0.056082528,0.06405889,0.072032005,0.081700176,0.09644153,0.11742296,0.14249647,0.16589296,0.18171966,0.18684198,0.18274106,0.17366667,0.16363788,0.15447493,0.14619882,0.13836403,0.13081127,0.12444764,0.12384689,0.1398968,0.18777168,0.2746967,0.38775024,0.4922886,0.55143857,0.5464408,0.48632172,0.39630485,0.30398571,0.22837663,0.17806661,0.15163057,0.14178582,0.14003532,0.1407368,0.14135611,0.141662,0.14213097,0.14369236,0.14681047,0.15121235,0.15583976,0.15952885,0.16185726,0.16302925,0.16353656,0.16325997,0.1618048,0.1586187,0.1539181,0.14838529,0.14334075,0.13955736,0.13721041,0.13615769,0.13700481,0.14123315,0.14819376,0.15472028,0.15533267,0.14859705,0.13681301,0.12552533,0.117293894,0.112216674,0.10840415,0.1049262,0.10153512,0.09839382,0.09548736,0.09268338,0.08983195,0.086973615,0.08431333,0.082111835,0.080399394,0.07884934,0.07702414,0.07458032,0.07169768,0.06871006,0.06650137,0.06602629,0.06882406,0.07463631,0.081403114,0.084536426,0.08166179,0.07326865,0.06344974,0.05526714,0.049942117,0.046504844,0.04398614,0.041936383,0.040313896,0.039127022,0.038174912,0.037294026,0.036604013,0.03735516,0.042045686,0.053223565,0.06985507,0.086204976,0.09387207,0.0888918,0.073935136,0.05764215,0.050835848,0.06711569,0.12166969,0.22081141,0.35062376,0.47276673,0.54606205,0.5471136,0.48486963,0.3869648,0.28582308,0.20366938,0.15078168,0.12403935,0.112083994,0.10146844,0.08562452,0.06689819,0.054552916,0.05680788,0.0764097,0.107905544,0.14228357,0.17126441,0.19215643,0.20539796,0.21293826,0.21457906,0.20951499,0.19614287,0.17522372,0.15055609,0.12882438,0.11502126,0.10925931,0.107204735,0.104435325,0.10021243,0.097538374,0.10014323,0.10802703,0.115848504,0.11575612,0.10342366,0.08200776,0.06015228,0.04732953,0.049351644,0.06775141,0.09880328,0.13496977,0.16650231,0.18651919,0.19281407,0.19002359,0.18876182,0.2066446,0.25931683,0.34947363,0.4558456,0.5430026,0.5790256,0.5527281,0.47385976,0.3649572,0.25279507,0.16116172,0.106011264,0.090073176,0.104572214,0.13385457,0.1638521,0.18621773,0.19969982,0.20651083,0.2094096,0.20953953,0.20713414,0.20219989,0.1948378,0.18465483,0.17058198,0.15208967,0.13102354,0.11199806,0.09973005,0.09551258,0.0960747,0.096503876,0.09362439,0.088069774,0.08340776,0.08559757,0.099785455,0.12680434,0.1599194,0.18840005,0.20457561,0.20865981,0.20673221,0.2045943,0.20475368,0.2064114,0.20815931,0.20851737,0.20674707,0.20199074,0.19345838,0.17979248,0.16075718,0.13852552,0.11884189,0.10810756,0.10996019,0.12227907,0.13904636,0.15366209,0.16280244,0.16695039,0.16911383,0.17215419,0.17674069,0.18101735,0.18188083,0.17744069,0.16831501,0.15711103,0.1466238,0.13825537,0.13204814,0.12726529,0.1234098,0.12024645,0.11783134,0.115927614,0.11413798,0.11227087,0.11148855,0.11481068,0.12551744,0.14448406,0.16794606,0.1897702,0.20486702,0.21249838,0.21495195,0.21530975,0.21493472,0.21326338,0.20841926,0.19833638,0.18230385,0.1614067,0.138593,0.11694753,0.09932526,0.08754283,0.082267344,0.08149854,0.08124465,0.07793293,0.07194423,0.06746342,0.06954354,0.080640875,0.10040871,0.12607259,0.15378667,0.17834282,0.19641154,0.20686235,0.21174677,0.21234287,0.20889111,0.19986038,0.18439138,0.16298337,0.1387315,0.11614602,0.099135876,0.08828118,0.08094656,0.07377138,0.06596315,0.06023036,0.06021894,0.066904366,0.07664695,0.08396075,0.08564127,0.083443515,0.08161277,0.083536886,0.08960846,0.09918028,0.111922145,0.12795268,0.14567661,0.16139866,0.17094319,0.17494147,0.18267693,0.21255857,0.27905294,0.37948382,0.4853023,0.55902,0.5732303,0.5264888,0.43615437,0.32814416,0.22617583,0.14759213,0.10092398,0.08524648,0.09299996,0.113321446,0.13616876,0.15501969,0.16830832,0.17789519,0.18584318,0.19226108,0.19589025,0.19612896,0.19360735,0.18865454,0.17930591,0.16242869,0.13722287,0.108791135,0.08620438,0.07798519,0.08626381,0.10697182,0.13145575,0.15256919,0.16676754,0.17660643,0.18585508,0.19690458,0.20702346,0.21256168,0.21119617,0.20471023,0.19597137,0.18680783,0.17618592,0.16197383,0.14385463,0.12577535,0.113799244,0.111363284,0.11494442,0.116958946,0.11184039,0.10094068,0.0898805,0.08260056,0.07790222,0.07156,0.061189596,0.04846633,0.03778879,0.033143923,0.036197316,0.046248883,0.061356008,0.079428434,0.09871861,0.11710445,0.13186647,0.14016509,0.14135686,0.13757889,0.13290018,0.13023154,0.13027768,0.13184698,0.1336048,0.13445668,0.13334799,0.12959732,0.12377637,0.11854694,0.11638681,0.11779801,0.11932879,0.11660811,0.106167495,0.08901022,0.07192901,0.06955228,0.10209262,0.1829756,0.3058852,0.43749285,0.53591007,0.57079977,0.54042935,0.46298578,0.366763,0.27784854,0.21506475,0.18394043,0.17652021,0.17979385,0.18459918,0.18971221,0.19672753,0.20651074,0.2181497,0.22966975,0.23895788,0.24249779,0.23833014,0.22452076,0.20209463,0.17291254,0.14252076,0.11658308,0.10012866,0.095166944,0.10242353,0.12067133,0.1451727,0.1669993,0.17695014,0.17140381,0.15501975,0.13752645,0.12761112,0.12836498,0.137246,0.1489145,0.15913475,0.16652127,0.1726623,0.17944573,0.18716313,0.1934015,0.19498794,0.18957394,0.17656608,0.15630853,0.1311966,0.109214306,0.10690624,0.14442824,0.23014891,0.34860006,0.46210495,0.5342057,0.54708046,0.50981766,0.4433583,0.37209174,0.31250414,0.273832,0.25444862,0.24667807,0.24069619,0.2298985,0.21231546,0.19038802,0.16972774,0.1560681,0.15147974,0.1528541,0.15393816,0.15040015,0.14217064,0.13329817,0.1283233,0.12964518,0.13595179,0.14340162,0.1482022,0.14885831,0.14654684,0.14330526,0.14055988,0.13934582,0.14141214,0.14924675,0.1621389,0.17508715,0.17977625,0.17303057,0.1579947,0.14304508,0.13323714,0.12935202,0.12843235,0.1281537,0.12744509,0.1264372,0.12540229,0.124414764,0.1233732,0.1221279,0.12074945,0.11954772,0.119336374,0.12071514,0.12368437,0.12689257,0.12892681,0.12906213,0.12868439,0.13092192,0.13984829,0.15748562,0.18119411,0.20370239,0.21788417,0.22149031,0.21848573,0.2146923,0.21432042,0.21865599,0.22730024,0.23906367,0.25105566,0.26043442,0.26446888,0.26346365,0.25880226,0.253603,0.2501564,0.25009966,0.25260088,0.25483224,0.25277975,0.2434951,0.22676313,0.20571305,0.18857992,0.18864483,0.22291048,0.2987382,0.4050084,0.50727886,0.5697754,0.5714985,0.5202442,0.43834284,0.35286155,0.2816296,0.2334525,0.20650399,0.19398259,0.18786387,0.18317358,0.17796445,0.17310494,0.17090811,0.17351909,0.17898373,0.18122399,0.17326021,0.15446049,0.13065107,0.110241376,0.09711876,0.090559155,0.08770683,0.0870926,0.08831551,0.0907703,0.092879266,0.092935205,0.09046044,0.08677226,0.08454362,0.0870065,0.09699375,0.11611179,0.14302617,0.17310631,0.19932695,0.21598388,0.22157472,0.21947974,0.21527557,0.21273966,0.21216474,0.2107773,0.20617454,0.19779062,0.18755417,0.17893982,0.17850526,0.19738412,0.2471921,0.3297345,0.4279969,0.51111364,0.5509701,0.5370315,0.47882494,0.39673162,0.312799,0.24315597,0.19556235,0.16883671,0.15695415,0.15320046,0.15298362,0.1537146,0.15449792,0.15550338,0.15777154,0.16186011,0.16750593,0.1733254,0.17803663,0.18073554,0.18119854,0.17926224,0.17502408,0.16905725,0.1624557,0.1564209,0.15137221,0.1471534,0.14301364,0.13915902,0.13748117,0.14195794,0.15568203,0.17607678,0.19445556,0.2005629,0.1923716,0.17616792,0.16228132,0.15514232,0.15368445,0.15375619,0.15337406,0.15241277,0.15134944,0.15011275,0.14786796,0.14443745,0.14003342,0.13576455,0.13200016,0.12873432,0.12521812,0.12118104,0.11681058,0.11269915,0.109257996,0.10639348,0.103975184,0.10201249,0.100643806,0.099355794,0.096988834,0.09260074,0.08643963,0.0798065,0.07395246,0.069305964,0.065679625,0.062829524,0.06072576,0.05943103,0.058918893,0.059068736,0.059604798,0.06060204,0.0627222,0.06763361,0.07633745,0.08815958,0.09943477,0.106262274,0.10624694,0.1007632,0.09466082,0.09758694,0.12411014,0.18708296,0.28634667,0.40010712,0.4941921,0.5397243,0.52804124,0.46871552,0.38206515,0.291117,0.21722306,0.17194484,0.15306886,0.14732344,0.14205532,0.13220458,0.12091136,0.11358119,0.11533478,0.12810461,0.15016259,0.17392588,0.19064438,0.1946807,0.18805204,0.17689395,0.16749966,0.16225708,0.15979761,0.15646096,0.14904387,0.13715895,0.12342437,0.1119157,0.10592556,0.10774982,0.1181019,0.13551743,0.15496285,0.16988617,0.17535727,0.17083389,0.15918691,0.14432399,0.13000889,0.11981342,0.11752912,0.12496903,0.14061143,0.15884751,0.17350423,0.18061346,0.18075018,0.17919876,0.18614896,0.21619785,0.27901816,0.37055865,0.46594176,0.5350997,0.5570545,0.5320845,0.4717289,0.39164332,0.30691263,0.23333436,0.1842431,0.16379355,0.16574045,0.17680077,0.18470962,0.1826321,0.17107224,0.15574937,0.14421691,0.14184241,0.14919327,0.16158432,0.17168228,0.17322563,0.16458027,0.14930828,0.13468577,0.12790054,0.13195033,0.1435013,0.15444355,0.15782999,0.15185614,0.14102714,0.13198186,0.13100916,0.14034761,0.15791188,0.17673999,0.19025914,0.19542815,0.1946357,0.1913473,0.18772674,0.18374544,0.1794859,0.17584424,0.17420177,0.17503656,0.17755413,0.18012446,0.18124287,0.17999154,0.17563702,0.1675012,0.15518299,0.13981177,0.12387222,0.11004362,0.0992186,0.09068588,0.083792925,0.07944602,0.07914298,0.08357963,0.09215964,0.10438403,0.11940693,0.13528289,0.14810304,0.15448861,0.15366364,0.14832193,0.14233474,0.13839361,0.13658464,0.13532902,0.13303994,0.12967592,0.12611127,0.12334522,0.12159636,0.121888556,0.1261923,0.13688768,0.15355694,0.17261285,0.18884897,0.20070602,0.2135789,0.24026339,0.29275143,0.3715258,0.45934018,0.52922416,0.55963695,0.5430771,0.48545182,0.39971772,0.30538908,0.2225533,0.16571449,0.13514002,0.12189311,0.11520239,0.10981691,0.104809366,0.10189242,0.10460558,0.11532394,0.13349466,0.15256062,0.16665931,0.17263104,0.17326766,0.1713239,0.16885526,0.16610235,0.16384582,0.16310139,0.16449945,0.16761933,0.17096357,0.17216425,0.16850519,0.15779902,0.14054303,0.12047716,0.10328933,0.0920926,0.08571967,0.08004137,0.07261403,0.064444594,0.05877767,0.058421176,0.06457442,0.0776786,0.09752217,0.12276083,0.14962234,0.17303489,0.18921004,0.20040263,0.21641916,0.25224358,0.31570354,0.39935005,0.47892714,0.53051513,0.5415901,0.5157258,0.46226713,0.39295423,0.3206776,0.2593334,0.21788965,0.19612415,0.18683153,0.1821454,0.17780246,0.17341404,0.17016822,0.16950123,0.17222197,0.17833483,0.18666053,0.19498943,0.2011603,0.20388104,0.20327647,0.20031671,0.19678138,0.19459106,0.19516659,0.19831383,0.20233531,0.20498644,0.20471378,0.20158179,0.19742626,0.1952815,0.19697839,0.20153596,0.2051392,0.2045024,0.1984985,0.18817645,0.17412294,0.15672602,0.13717152,0.118786775,0.104935296,0.09728523,0.095259495,0.09846756,0.1070205,0.120301485,0.13424298,0.14297251,0.14233954,0.13321522,0.119821616,0.10629182,0.09441533,0.084393024,0.07642034,0.071318775,0.07061301,0.07614916,0.089424096,0.109909445,0.1341499,0.1564217,0.17147301,0.17696182,0.17429823,0.16707297,0.15864097,0.150263,0.14094241,0.1289744,0.11396116,0.09819917,0.08608828,0.08214336,0.088428654,0.103126444,0.12123809,0.13691925,0.14617623,0.14760739,0.14191188,0.13140137,0.12255975,0.12806219,0.16469316,0.24127656,0.34797356,0.45488736,0.528928,0.55029136,0.51932913,0.44865426,0.35557365,0.2590351,0.17754279,0.1245024,0.10237568,0.10377056,0.11638097,0.13035226,0.14126743,0.14998065,0.15870488,0.16645686,0.16875134,0.16067553,0.14322524,0.12272486,0.107864015,0.1038104,0.11206633,0.13052703,0.15421236,0.17609198,0.18976694,0.19356894,0.1898626,0.18314947,0.17603324,0.16985469,0.16485079,0.16176116,0.16106547,0.16259842,0.16483055,0.16584128,0.16450454,0.16180693,0.1595915,0.15952331,0.16132309,0.16373165,0.16495384,0.16410969,0.16110142,0.15657553,0.15114443,0.14514482,0.13862883,0.13191518,0.12564419,0.120662205,0.11749839,0.11646021,0.11758984,0.12026081,0.122929804,0.12358276,0.12147469,0.11778613,0.11515672,0.115859546,0.1207543,0.12900262,0.13854326,0.14682253,0.15169203,0.1520394,0.14793621,0.14015092,0.13000408,0.118958086,0.10885268,0.10084963,0.0956419,0.092524566,0.09087797,0.089656256,0.088684954,0.08758836,0.086473644,0.08519129,0.08360986,0.08172751,0.07972249,0.07857812,0.078742415,0.08035272,0.08211125,0.083189376,0.08307359,0.08239792,0.08166715,0.081124075,0.08068205,0.080103315,0.0794749,0.07873375,0.07800978,0.077041864,0.07573264,0.07394525,0.07204119,0.07059909,0.070337795,0.07142662,0.073333435,0.07495425,0.07553016,0.074936606,0.0740397,0.074017875,0.0766638,0.08290905,0.092619896,0.10303854,0.11081294,0.11267823,0.10774132,0.09641278,0.080980204,0.06490078,0.053698216,0.052751932,0.06511906,0.08826625,0.11559418,0.13905437,0.15397877,0.15951265,0.15838034,0.1537999,0.14872135,0.14450322,0.14159864,0.13959862,0.13796951,0.13609916,0.13310501,0.12806891,0.120874375,0.11351875,0.110002,0.11374249,0.12496581,0.13938992,0.15141799,0.15703526,0.15642686,0.15232371,0.14825048,0.14615475,0.1460735,0.14649074,0.14554566,0.14213787,0.13640991,0.12954183,0.12325204,0.11875018,0.11621994,0.114272885,0.11130623,0.10640296,0.10022336,0.09396952,0.08873538,0.085067324,0.08337909,0.08383429,0.08600985,0.08848244,0.089487754,0.08787834,0.08405992,0.07972329,0.07722088,0.078676976,0.08500847,0.09516994,0.10613827,0.11488885,0.12006592,0.12258631,0.123778544,0.124118775,0.12311896,0.1204999,0.116810136,0.112788916,0.108763605,0.10428434,0.09906256,0.09327964,0.08805,0.08485892,0.08535179,0.090162516,0.098229825,0.106810264,0.113090605,0.11585382,0.11556977,0.113544635,0.11066264,0.107503355,0.104226194,0.10091883,0.09742511,0.093670286,0.08976874,0.08600251,0.0826771,0.079842724,0.07741642,0.07514933,0.07295558,0.07081505,0.068917654,0.06735295,0.06612926,0.06499178,0.06374164,0.062250186,0.060673505,0.05914411,0.057817254,0.056599606,0.05535072,0.053882007,0.05224304,0.050738577,0.049692918,0.04927337,0.049207643,0.049184635,0.04881834,0.048104007,0.047110546,0.04614603,0.04533073,0.044671416,0.043957636,0.04298155,0.04168658,0.040166456,0.038704436,0.03749917,0.036669243,0.036036875,0.035359066,0.034441248,0.03355627,0.033626985,0.03608464,0.04210436,0.051483918,0.062949575,0.07558835,0.0913474,0.11343261,0.143276,0.17642348,0.2054209,0.22404309,0.23162581,0.23103368,0.22602606,0.21963573,0.21468611,0.21350229,0.21611111,0.21996988,0.22163449,0.21931694,0.21323903,0.20413168,0.19298087,0.18121706,0.1716329,0.16594301,0.16398066,0.16330233,0.16198175,0.15964498,0.15774862,0.15822436,0.16221601,0.16934699,0.17759341,0.18393598,0.18465684,0.1760106,0.15598543,0.12685174,0.09642774,0.075167455,0.07129159,0.08628494,0.115000404,0.14821938,0.17698209,0.19487375,0.19897859,0.18894742,0.16681801,0.13750172,0.10876316,0.08870738,0.08164164,0.08610812,0.09713331,0.11044059,0.12500507,0.14161499,0.16016436,0.1776657,0.18935609,0.19155662,0.18424796,0.17144263,0.15851349,0.14937915,0.14455192,0.14232004,0.14037554,0.13788192,0.13536926,0.1343119,0.13568145,0.13961235,0.1450208,0.15027328,0.15380388,0.15499236,0.15424074,0.15228976,0.15020722,0.15189324,0.16748731,0.21317883,0.30064508,0.4256146,0.561683,0.6734353,0.73060066,0.7215049,0.651164,0.5398869,0.41558173,0.30658817,0.23020427,0.18856029,0.17188866,0.16780812,0.16732846,0.1664627,0.1645195,0.16287155,0.16426198,0.17198195,0.18823761,0.21218646,0.2392204,0.2628311,0.27785525,0.28334287,0.28171062,0.27666166,0.2702233,0.2631277,0.25499126,0.24600022,0.23626675,0.22671288,0.2178422,0.20984662,0.20025073,0.18536294,0.16170068,0.13070394,0.09780087,0.07014092,0.05120869,0.040641602,0.035827693,0.03519386,0.038611144,0.045967247,0.055345785,0.06258294,0.063663356,0.057431016,0.047346935,0.03927553,0.038037237,0.044285562,0.054737866,0.06430266,0.06870007,0.06592616,0.057027508,0.04633856,0.04074659,0.046420872,0.06473115,0.090292394,0.114210546,0.12968446,0.13543111,0.13537467,0.13795497,0.15656799,0.20747356,0.29976514,0.42493108,0.55480736,0.6551817,0.70105857,0.68471855,0.6139159,0.5075603,0.39230105,0.2933998,0.22570133,0.18751638,0.16743106,0.15365918,0.1411802,0.13291265,0.13896824,0.17506732,0.25291434,0.36956272,0.50027055,0.60984486,0.6680767,0.6631317,0.6010532,0.5011724,0.3895036,0.29088166,0.22116435,0.18276058,0.16871625,0.16976194,0.17887276,0.19163352,0.2040053,0.21257515,0.21358293,0.20502442,0.18687351,0.16397043,0.14355798,0.13267727,0.13355643,0.143822,0.1581223,0.17102976,0.17893831,0.18086247,0.17826146,0.173432,0.16825128,0.16351624,0.15931386,0.15546593,0.15195547,0.149244,0.14816184,0.1492945,0.1521234,0.15498276,0.15587746,0.15369774,0.14885515,0.14323741,0.13950737,0.13988386,0.14479281,0.1526009,0.1606176,0.16797979,0.17868997,0.20398845,0.25842687,0.3504783,0.47157097,0.59587246,0.6898002,0.7272224,0.69786984,0.61109704,0.49188018,0.37237886,0.27897403,0.22241825,0.19808644,0.1927641,0.1944955,0.1959951,0.19533806,0.19298977,0.19029897,0.188257,0.1875794,0.18893152,0.19263351,0.19818604,0.20397067,0.20838779,0.21072622,0.21177657,0.21275868,0.21463789,0.21719034,0.21945268,0.22033061,0.21970983,0.21852861,0.21798873,0.21787854,0.21528308,0.20556873,0.18542756,0.1566212,0.12523954,0.098297425,0.078847736,0.06591036,0.056244563,0.047583606,0.03947502,0.033398338,0.031756025,0.03631341,0.046380445,0.058294635,0.06785398,0.074010134,0.08014458,0.09091691,0.10733988,0.12543596,0.13897704,0.14391588,0.14016701,0.13102992,0.12140467,0.11545268,0.11501304,0.118409865,0.12231573,0.12371052,0.122011594,0.118430234,0.11482007,0.11240596,0.11125398,0.1105603,0.10923442,0.10771253,0.10852182,0.11502513,0.12796599,0.14370365,0.15638377,0.16208744,0.16137959,0.15753247,0.15341282,0.1492462,0.14323168,0.13504535,0.13063033,0.14572136,0.1998976,0.30394793,0.4448781,0.5883739,0.6920584,0.72946876,0.6959129,0.60963804,0.49629092,0.38449058,0.29412052,0.23612851,0.20745218,0.19752306,0.19340996,0.18837662,0.18283385,0.1814434,0.18599798,0.19230795,0.19299978,0.18496819,0.1731738,0.16650678,0.16977413,0.18001342,0.190188,0.19520277,0.19427937,0.18938643,0.18277077,0.17594506,0.16963996,0.16367501,0.15720834,0.14907877,0.13891275,0.12737848,0.11636529,0.10824224,0.105187535,0.107871026,0.11461153,0.12177058,0.12582946,0.12538823,0.121542096,0.11644932,0.11198986,0.10906931,0.107764445,0.10737658,0.10965568,0.122231424,0.16202785,0.24524845,0.37544426,0.5310693,0.6754946,0.7717312,0.798542,0.7527623,0.64766425,0.51075613,0.37547752,0.2702621,0.20598666,0.17676793,0.168194,0.16748393,0.16775702,0.16659139,0.164581,0.16347027,0.16585629,0.17319904,0.18389012,0.19354375,0.19741817,0.19450651,0.18740623,0.18002474,0.17412399,0.16868792,0.16210021,0.15381108,0.14561772,0.13947122,0.13688765,0.13809063,0.14348668,0.15253203,0.16232236,0.16699605,0.16127016,0.14463685,0.12203193,0.100149006,0.08341239,0.07345351,0.07097315,0.07647074,0.089145236,0.10532665,0.119843505,0.12844123,0.13013706,0.12701741,0.12290576,0.121953405,0.12675065,0.13703603,0.14893527,0.15737213,0.1589392,0.15372805,0.14443515,0.13460049,0.12787978,0.1268145,0.13183066,0.13975912,0.14581668,0.1462537,0.14090055,0.13223886,0.12361417,0.11759447,0.1155639,0.11740166,0.12152172,0.125394,0.12707083,0.12593289,0.12295023,0.11957901,0.11726469,0.11668401,0.11772511,0.11948172,0.1207692,0.12086088,0.11959717,0.11909632,0.1252495,0.15032154,0.2071807,0.30078423,0.41819248,0.5327566,0.61531997,0.64641064,0.62082744,0.5464278,0.44384348,0.33932742,0.25631344,0.20431231,0.17969002,0.17177354,0.17117693,0.17308412,0.17649971,0.1828474,0.1917028,0.20008339,0.20191741,0.19396567,0.17706327,0.15667832,0.13764714,0.122977436,0.11352041,0.11035066,0.11432286,0.1247612,0.13786794,0.14816661,0.15124297,0.14659888,0.13757771,0.12976442,0.12821066,0.1351483,0.14867805,0.16335149,0.17327617,0.17496496,0.16878003,0.15760994,0.145586,0.13679929,0.13387959,0.1363737,0.14045046,0.14164782,0.13775158,0.1302223,0.1247753,0.13217562,0.16830496,0.24461955,0.35798657,0.4837333,0.588511,0.6443482,0.64218426,0.58884335,0.5040656,0.41116878,0.3323848,0.2797888,0.25461912,0.24821012,0.24991465,0.25155187,0.2506346,0.24918295,0.25121394,0.2596343,0.2736273,0.2888353,0.29942247,0.30193576,0.29675227,0.28779122,0.27981666,0.27620706,0.2775472,0.2814941,0.28467909,0.28436995,0.2803502,0.27411273,0.26810458,0.26365826,0.26033047,0.25412723,0.23952085,0.21188442,0.17320992,0.13105439,0.09533185,0.07121407,0.058525097,0.053838845,0.054572314,0.05956461,0.06788341,0.07770607,0.08671445,0.0932638,0.096978486,0.098571084,0.099939995,0.10425893,0.115630634,0.13599607,0.162669,0.18818016,0.20549552,0.21251494,0.21289177,0.21174437,0.21172436,0.21247144,0.21271373,0.2122165,0.21193059,0.21284604,0.21513294,0.21777828,0.21969064,0.2204165,0.22076178,0.22175306,0.22398639,0.2270392,0.23009099,0.2323886,0.2336824,0.23429175,0.23483515,0.2357484,0.23685245,0.23735636,0.236441,0.23375322,0.22969626,0.22698696,0.23211177,0.2571874,0.3139718,0.40632161,0.52039313,0.6286991,0.6984861,0.7084749,0.6543436,0.553628,0.43417275,0.326708,0.24816228,0.20235372,0.1797706,0.16999255,0.16455762,0.1609467,0.15927936,0.16090302,0.16447966,0.16620113,0.16095747,0.14810775,0.13126336,0.11671097,0.10704592,0.10150186,0.09772838,0.09605401,0.09875231,0.10728693,0.11944608,0.13024372,0.13578261,0.13595442,0.13392459,0.13273133,0.13302018,0.13390715,0.13515814,0.1386407,0.14538832,0.15319811,0.15605865,0.14939864,0.13426267,0.11782732,0.1086567,0.11108661,0.12355272,0.13962322,0.15298963,0.16081597,0.16836268,0.18865569,0.2379775,0.32421663,0.43799746,0.5548185,0.64652425,0.6951311,0.69352984,0.6471916,0.56811124,0.47889033,0.40065527,0.34850192,0.32137045,0.310578,0.30556583,0.30129457,0.29628307,0.29093286,0.2856003,0.2808218,0.27719727,0.27550888,0.27600113,0.27788708,0.27974352,0.28019986,0.2791455,0.2771329,0.2753692,0.27450377,0.27419302,0.2730776,0.2692521,0.2622297,0.2543902,0.25180662,0.261402,0.28245664,0.30418035,0.30840805,0.28690168,0.24562524,0.20322536,0.17347763,0.16038547,0.15855248,0.16263984,0.17053859,0.18234766,0.19708562,0.21140091,0.22212423,0.22792709,0.23041028,0.23150887,0.2330591,0.23477052,0.23555869,0.23271948,0.22502978,0.21262486,0.1982129,0.18461783,0.1745206,0.16922666,0.16859986,0.17090736,0.17369556,0.17531794,0.17529666,0.17416333,0.17278458,0.17237462,0.17416401,0.17854492,0.18441062,0.18921871,0.19040169,0.18661644,0.17841935,0.1678539,0.15779819,0.15154894,0.15185061,0.15961282,0.17274104,0.18697514,0.1982497,0.20538181,0.2128405,0.23149367,0.27615252,0.3553426,0.46181354,0.570432,0.65084976,0.68292266,0.6637568,0.6042652,0.52079046,0.43228996,0.3558049,0.30362728,0.2776316,0.27150324,0.27535343,0.28224698,0.28980485,0.29941332,0.31238392,0.32542768,0.32933632,0.3137616,0.27662656,0.22675349,0.17872284,0.14268236,0.12117409,0.11177372,0.11189584,0.12021589,0.13512373,0.15395011,0.17297018,0.18905675,0.20000327,0.20515591,0.20522313,0.20225507,0.198635,0.19588763,0.19445735,0.19383593,0.19294061,0.1896528,0.18173945,0.16886425,0.15414995,0.14278588,0.138209,0.13989334,0.14465618,0.14976959,0.15559535,0.16697447,0.19459349,0.25117588,0.34185687,0.4547726,0.5621155,0.6345949,0.6542681,0.6210196,0.54738563,0.45434967,0.3641115,0.2937936,0.24959175,0.22686665,0.21644,0.21027972,0.20499629,0.20024246,0.19811861,0.20088111,0.21042287,0.2258359,0.24366021,0.25872067,0.2673471,0.26945606,0.2689453,0.27212906,0.28589666,0.31577447,0.36194935,0.41556525,0.45816287,0.47228977,0.45209983,0.41148457,0.3732156,0.35637864,0.36108342,0.37243757,0.37037876,0.34705332,0.30892685,0.27101198,0.24329998,0.2277836,0.22054256,0.2182947,0.21946156,0.22339697,0.22836284,0.231795,0.23165745,0.2280003,0.22283538,0.21918951,0.2189514,0.22228552,0.22720551,0.23161311,0.2341123,0.23495902,0.23504806,0.23555028,0.23732446,0.24058656,0.24479057,0.24893928,0.25261378,0.25601438,0.2596265,0.26309207,0.26555893,0.2659994,0.2644129,0.261557,0.25882623,0.25714478,0.25664046,0.25653335,0.25582787,0.25429872,0.25260797,0.25164828,0.25046086,0.24642785,0.23668337,0.22173758,0.20530407,0.19400616,0.19571912,0.22080477,0.27725086,0.362882,0.45873013,0.5357135,0.57044405,0.5561637,0.50321615,0.42883888,0.35150984,0.284799,0.23639196,0.205608,0.18673478,0.17306589,0.16050889,0.14874506,0.14173211,0.14718013,0.17236882,0.21414106,0.25638932,0.2766857,0.26608917,0.23339355,0.19835325,0.17255934,0.15711534,0.14867602,0.1484478,0.15961157,0.18033153,0.20231141,0.21663995,0.22089942,0.2189526,0.21604244,0.21453053,0.21415795,0.21414591,0.21434437,0.2146691,0.21435444,0.21159469,0.20375253,0.18807633,0.16349776,0.13269968,0.10271257,0.08162368,0.07390656,0.07727467,0.08562059,0.096134074,0.115967296,0.16260488,0.24995057,0.37329355,0.49989107,0.58841085,0.6108721,0.5713671,0.49365726,0.40695,0.33026147,0.27375445,0.2388792,0.22252281,0.21805318,0.21931125,0.22201455,0.22432943,0.2254967,0.22547205,0.22437565,0.22295551,0.22155528,0.22037631,0.21863402,0.21586825,0.2120697,0.20816733,0.20529242,0.20381914,0.20364201,0.20393242,0.20425467,0.20397978,0.2028908,0.2014457,0.20277494,0.21251975,0.23514766,0.26538393,0.2873642,0.28226054,0.2457573,0.19035546,0.13766433,0.10064147,0.080796935,0.071826555,0.06821777,0.066654705,0.06565559,0.06437793,0.062679015,0.06088448,0.059911177,0.061971772,0.07085737,0.09013358,0.11871898,0.14970769,0.1732016,0.18426527,0.18496764,0.18203197,0.18010879,0.18018575,0.18171358,0.18462634,0.1893766,0.19392379,0.19500165,0.1896284,0.17864035,0.16572855,0.15640222,0.15587838,0.16745232,0.19008572,0.21700187,0.23848958,0.24728407,0.24282725,0.23040932,0.21703863,0.20783548,0.20472163,0.20683257,0.21137422,0.21493761,0.21521784,0.21359117,0.21710105,0.23920576,0.29229462,0.37794313,0.47753832,0.56039697,0.59805113,0.5812685,0.51996154,0.43689272,0.354605,0.28962237,0.24759744,0.22595464,0.21677065,0.21295212,0.21017097,0.20814694,0.20979162,0.22041406,0.24310136,0.2725418,0.2942773,0.29348445,0.26765758,0.22788434,0.18961398,0.1602755,0.13898729,0.12202734,0.10864457,0.0998571,0.09617234,0.096685566,0.09993425,0.10447546,0.108608745,0.1114139,0.113359906,0.11648237,0.122199595,0.13078785,0.14158022,0.15436505,0.16849183,0.18249106,0.194218,0.20263372,0.20769082,0.20975514,0.20869172,0.2048283,0.19913316,0.19342746,0.19193085,0.20358348,0.2420929,0.31498405,0.41331637,0.50761026,0.565845,0.57072526,0.52869344,0.45892394,0.38101485,0.30932465,0.25260025,0.21549064,0.19642435,0.1899268,0.1887532,0.1878521,0.18488276,0.18016316,0.17532806,0.17215051,0.17133784,0.1720093,0.1725197,0.17136067,0.16830091,0.16385509,0.15925308,0.15571512,0.15433769,0.15518022,0.15698314,0.1578327,0.15641384,0.1529911,0.15059637,0.15561815,0.17655496,0.2153294,0.26044944,0.28771585,0.27828297,0.23302273,0.17341368,0.12284077,0.09196898,0.07694641,0.06959376,0.06481824,0.061511446,0.059664775,0.058861107,0.05837069,0.05779517,0.057615716,0.059774738,0.067934476,0.085530974,0.11288688,0.14454497,0.17197661,0.1879711,0.19188619,0.18806268,0.18293513,0.18001993,0.17980598,0.17997289,0.17823893,0.17347719,0.16673549,0.16001146,0.15493248,0.1518839,0.14995985,0.14777632,0.14388853,0.13805129,0.13100411,0.124253124,0.118590295,0.11424664,0.11106069,0.1090721,0.107816346,0.10605344,0.102008544,0.094671935,0.08448837,0.073842816,0.0691733,0.082764536,0.13186897,0.22516811,0.35129043,0.4737657,0.55355287,0.5689678,0.5289639,0.45721865,0.37830552,0.3069407,0.25172725,0.21562202,0.19644667,0.18697853,0.17985886,0.17185108,0.1658615,0.16889186,0.18852346,0.22524458,0.26830903,0.2983419,0.30152956,0.27930334,0.24658532,0.21843778,0.2005692,0.18956973,0.17900026,0.16497274,0.14811234,0.13280408,0.123575635,0.12121848,0.12195275,0.12092609,0.11675883,0.11296537,0.11437354,0.12232711,0.13252015,0.13857551,0.13649,0.12760574,0.11685071,0.1110278,0.115404755,0.1314777,0.15461391,0.17673482,0.191067,0.19610544,0.19575632,0.19849335,0.21749277,0.26709667,0.35211238,0.45781907,0.55083704,0.59878594,0.58665067,0.5250734,0.43659282,0.3466114,0.27256247,0.22522064,0.2054997,0.20727581,0.21977156,0.23341775,0.24286652,0.24710889,0.2474433,0.24585901,0.24397404,0.24302788,0.24293108,0.24258097,0.23977579,0.23240285,0.21952897,0.20240234,0.18506645,0.17233555,0.16743225,0.16930954,0.17343481,0.17496885,0.17207104,0.16887653,0.17350002,0.19492976,0.23304832,0.2761604,0.30362272,0.30274394,0.27631614,0.24150902,0.21440911,0.20208727,0.201856,0.20783944,0.21504076,0.220465,0.22249764,0.21965994,0.2102511,0.19342838,0.17115599,0.1490205,0.13367492,0.12948394,0.13562383,0.14753717,0.15907292,0.166492,0.16875647,0.16780917,0.16571206,0.16428769,0.16400827,0.1649937,0.16643204,0.16733159,0.16667424,0.16468602,0.1628632,0.16372377,0.1693284,0.17945619,0.1908675,0.19846982,0.19890614,0.19228643,0.18177377,0.17065048,0.16158514,0.15671508,0.15834202,0.16716522,0.18147959,0.19732594,0.21095039,0.22088687,0.23047741,0.24933963,0.29119274,0.36389875,0.45921525,0.54979485,0.60399824,0.6022444,0.5482092,0.46153316,0.36722717,0.28468058,0.22404884,0.18622322,0.16560687,0.1551835,0.15001057,0.14907838,0.15491606,0.17203987,0.204503,0.24912749,0.29363325,0.31986764,0.31803954,0.29261282,0.2595715,0.23209135,0.21374936,0.19959287,0.18415071,0.16615163,0.14856261,0.13510537,0.12706482,0.12301093,0.12104457,0.120978236,0.12375758,0.129237,0.13483453,0.13684815,0.13273041,0.12283201,0.11041886,0.100614555,0.097965725,0.1044032,0.118501686,0.13720368,0.15730241,0.17622627,0.19130541,0.20048445,0.20480669,0.21149033,0.23504889,0.28824916,0.37177622,0.46469355,0.5368708,0.56381804,0.54243565,0.4840628,0.40708682,0.32727647,0.25932193,0.21325876,0.19317852,0.19402047,0.20632899,0.22058801,0.23154646,0.2377762,0.2399946,0.23964114,0.23810987,0.23707247,0.23797868,0.24197148,0.24889922,0.25763026,0.2680072,0.28501442,0.31879234,0.37655506,0.4511187,0.5183194,0.5509489,0.53569144,0.4815508,0.41169634,0.35200378,0.31944975,0.31491724,0.32297465,0.32141742,0.2987595,0.26035464,0.22202544,0.19410312,0.17624526,0.16212118,0.14813878,0.13665247,0.13142844,0.1336993,0.13927238,0.14260398,0.13990925,0.13317104,0.1286273,0.1329986,0.14789575,0.1679583,0.18476345,0.19261825,0.19211763,0.18748154,0.18329191,0.18217552,0.18612783,0.19647963,0.2132126,0.23338158,0.2518492,0.26357624,0.2661695,0.26080206,0.2508913,0.23980798,0.22910595,0.2187842,0.2085314,0.19889595,0.1907937,0.18500392,0.18162084,0.18076785,0.182164,0.18494157,0.18680646,0.18513912,0.17792611,0.16517247,0.15071826,0.14437176,0.16294408,0.22114103,0.31940988,0.43388334,0.5280617,0.57219,0.5598785,0.50394905,0.42530957,0.34389946,0.2769297,0.23537767,0.2203484,0.22261964,0.23050089,0.23645134,0.23994751,0.24479795,0.25673172,0.27915886,0.3079159,0.3302753,0.33197474,0.30903578,0.26955703,0.2273755,0.19096994,0.16311556,0.14293481,0.1306657,0.12654498,0.13036554,0.13974808,0.14981775,0.15445735,0.14986573,0.13829225,0.12781756,0.12701203,0.13924521,0.16026877,0.18241245,0.19878457,0.2068298,0.20713978,0.20264626,0.19672465,0.19257712,0.19208628,0.19470574,0.1969874,0.19316636,0.17885828,0.15754968,0.14466141,0.16511689,0.23506425,0.34787652,0.46720937,0.5521613,0.57660586,0.5461143,0.48122367,0.40723774,0.34010938,0.29042378,0.2607601,0.24890964,0.24734706,0.24809758,0.24465118,0.23417711,0.21784364,0.20029898,0.18721521,0.18134928,0.18115883,0.18278438,0.18366706,0.18431659,0.18636818,0.1906633,0.19596368,0.2003739,0.2025382,0.20225672,0.20054227,0.19869627,0.19828284,0.20076804,0.20890038,0.2267162,0.25600746,0.2904282,0.31443346,0.31261,0.28264314,0.23796405,0.19765948,0.17243148,0.16149558,0.1579509,0.15647858,0.15534984,0.15491378,0.15556973,0.15681721,0.15773286,0.1572159,0.1544186,0.14877819,0.14015979,0.12929155,0.1172803,0.105768174,0.095764995,0.0885677,0.08525949,0.088062294,0.09835154,0.11600447,0.1369897,0.15547746,0.16565359,0.16572945,0.15791197,0.14785866,0.1414148,0.14339878,0.15590723,0.17788832,0.20428781,0.22788294,0.24277727,0.24771021,0.24585636,0.24180515,0.23846084,0.23643708,0.2345262,0.23077594,0.22230677,0.20674579,0.18374938,0.15953581,0.14788932,0.16944925,0.23751938,0.34813717,0.47047934,0.565868,0.60276586,0.57829434,0.50833374,0.42171156,0.34099135,0.28170946,0.24620439,0.23045643,0.22564767,0.22536331,0.22579138,0.22724135,0.23276679,0.24732263,0.27270558,0.30170634,0.3190286,0.31093407,0.27789956,0.23385249,0.19627959,0.17315252,0.16252996,0.15706377,0.15070386,0.1403215,0.12615639,0.11078463,0.09724436,0.087364644,0.08138422,0.07948407,0.083144434,0.09484135,0.115897335,0.14387262,0.17264183,0.19529366,0.20869477,0.21486492,0.21895523,0.22488604,0.23337896,0.2425977,0.25048384,0.25555667,0.25651583,0.25263712,0.24751239,0.2524437,0.2841045,0.35141465,0.44379988,0.5302534,0.5782411,0.5723227,0.52110636,0.44573748,0.36627594,0.29644403,0.24384142,0.21214266,0.1986201,0.19633849,0.1968482,0.19541703,0.19153982,0.18769723,0.18645035,0.18839271,0.19182639,0.1937973,0.19264407,0.18876179,0.18425786,0.18088824,0.17933851,0.17900093,0.17873676,0.17734964,0.1743315,0.1699806,0.16522813,0.16120005,0.16050053,0.16799559,0.18966264,0.224733,0.2608887,0.27682498,0.25874898,0.21107286,0.1545804,0.10937648,0.08346855,0.072712265,0.06951412,0.06869998,0.06814411,0.06712859,0.06542268,0.06320281,0.06112789,0.060749874,0.065141,0.07846335,0.10292161,0.13533767,0.16687512,0.18845768,0.19667874,0.19548254,0.19180775,0.19070376,0.19320637,0.1971455,0.19931169,0.197258,0.19113684,0.18302341,0.17548712,0.1696574,0.16519777,0.16122693,0.15686366,0.1518396,0.14605989,0.14008206,0.13455302,0.13031328,0.12783498,0.12723094,0.1282491,0.1299721,0.13096069,0.12929267,0.123979725,0.11516595,0.10532063,0.10106146,0.1154528,0.16533512,0.25826094,0.3812182,0.49907967,0.57542944,0.5909888,0.5520568,0.4786521,0.3929615,0.31361875,0.25361505,0.21866794,0.20420831,0.20034759,0.19801742,0.19424057,0.19234417,0.19910406,0.22137399,0.2570651,0.2933756,0.3098581,0.2966774,0.25993264,0.21942784,0.19042729,0.178105,0.17725432,0.18072808,0.1820016,0.17738493,0.1662948,0.15174448,0.13814338,0.12864101,0.12384152,0.123170085,0.12659174,0.13414091,0.14432234,0.15303212,0.15605444,0.15151188,0.14138727,0.12966378,0.120756835,0.118228026,0.12428241,0.13847907,0.15708761,0.17418401,0.18479596,0.18870056,0.19300549,0.21246356,0.26195028,0.34550324,0.4459249,0.53175336,0.5734274,0.5605078,0.50220066,0.41832855,0.32963786,0.25284427,0.19923909,0.17213233,0.16741358,0.17572103,0.18694419,0.193945,0.19439663,0.19076763,0.18757622,0.18855868,0.19455236,0.203337,0.21102333,0.21344249,0.20845287,0.1967914,0.18273081,0.17170948,0.16755654,0.16970688,0.1737753,0.17477815,0.17086697,0.16473883,0.16322653,0.17433608,0.2036155,0.2460267,0.2860924,0.30414903,0.293684,0.26439252,0.23514205,0.21697067,0.20944941,0.20577371,0.20147271,0.19641544,0.1922002,0.18970133,0.1884222,0.18760736,0.18675263,0.18530731,0.18227233,0.17640151,0.16758518,0.15727212,0.147837,0.14080937,0.13590236,0.13177286,0.12738115,0.12347103,0.12204384,0.12547791,0.13466358,0.14835818,0.16282077,0.17359178,0.17775007,0.1766022,0.1747786,0.1773185,0.18496041,0.19387887,0.19808114,0.1947025,0.18518351,0.1739291,0.1643122,0.15772901,0.15436947,0.15543608,0.16251618,0.17609483,0.19337772,0.2098424,0.22273605,0.23572737,0.2600017,0.30817568,0.3839215,0.4734738,0.5501171,0.587881,0.5751101,0.5178346,0.43365082,0.34449932,0.26883742,0.21735132,0.18968911,0.17841984,0.17421971,0.17103104,0.1669647,0.16494189,0.17256045,0.19790365,0.2403063,0.2847498,0.30889395,0.3006303,0.2672721,0.22905488,0.20221941,0.19092833,0.19010335,0.19333173,0.19655444,0.19782002,0.19576474,0.18883897,0.17533137,0.15549283,0.13326517,0.11596626,0.10920597,0.112247415,0.117885076,0.11820129,0.11059665,0.09883345,0.08948896,0.087549895,0.09512832,0.11213035,0.13701896,0.16634864,0.19482674,0.21694796,0.22953711,0.23520242,0.24350403,0.27064005,0.32804608,0.4128994,0.5001349,0.55904984,0.56842566,0.5317179,0.46592817,0.3923707,0.3245146,0.2705383,0.23227723,0.20879996,0.19584833,0.18962319,0.18666954,0.18497677,0.18282883,0.18004923,0.17802103,0.17918581,0.18500435,0.19447611,0.20445122,0.21124803,0.21406953,0.2181012,0.23601413,0.2812829,0.3565571,0.44409814,0.51328665,0.53834367,0.51439625,0.4557877,0.38608912,0.32750776,0.29478493,0.2890437,0.296531,0.29796836,0.2833315,0.25744525,0.23158544,0.21126078,0.19366366,0.17394651,0.15166439,0.13090783,0.11611401,0.109237485,0.10993617,0.11716664,0.12978418,0.14577802,0.16298191,0.17958207,0.19490702,0.20737195,0.21461022,0.21400778,0.20607091,0.19418776,0.18424195,0.18147893,0.18889917,0.20530182,0.2253149,0.24218301,0.2508398,0.25063,0.24402185,0.23503225,0.2267757,0.22056894,0.21551876,0.20925124,0.1994086,0.1855222,0.17018957,0.15886654,0.15706004,0.1669001,0.18492292,0.20403838,0.21757281,0.2223332,0.21842153,0.20729429,0.19321842,0.18600382,0.20317005,0.2593063,0.35370317,0.46065918,0.54361874,0.57419735,0.54901654,0.48373368,0.40150633,0.32075027,0.25359565,0.20504461,0.17536224,0.1605801,0.15706573,0.161775,0.17418373,0.19400603,0.22272114,0.2581832,0.29222873,0.3096205,0.29964235,0.26476374,0.21992385,0.18016176,0.15113334,0.13097502,0.116282396,0.10595033,0.099534325,0.0971592,0.10001343,0.10984063,0.1261367,0.1447392,0.16042984,0.17070128,0.17684685,0.18121749,0.1845426,0.18589438,0.1845473,0.18124671,0.17778419,0.17607296,0.17694218,0.17960519,0.1815899,0.18041985,0.17502326,0.16651584,0.15673222,0.14795415,0.14284341,0.1455776,0.15885411,0.1814865,0.20654686,0.22654784,0.23739952,0.24058676,0.23927705,0.23560183,0.22985788,0.22201662,0.21271576,0.2030554,0.19421929,0.18704969,0.18201141,0.17904536,0.17773561,0.17736709,0.17759018,0.17816514,0.17923404,0.18021257,0.18072848,0.18022855,0.1791058,0.17723693,0.17426927,0.16921209,0.16194026,0.15310757,0.14400436,0.1353762,0.12749803,0.12022189,0.1137966,0.10909596,0.10752252,0.11011288,0.11602232,0.12273923,0.12700628,0.12738772,0.124250315,0.11945441,0.114370465,0.10981978,0.10583194,0.10235814,0.09920808,0.09622853,0.09322818,0.0901165,0.08716125,0.08506923,0.08489856,0.08695841,0.09045213,0.09324931,0.09383922,0.09174951,0.08812582,0.08405825,0.08093058,0.08028234,0.084448904,0.09477248,0.11019548,0.12666221,0.1395353,0.1458566,0.1461028,0.14353572,0.14431013,0.15441024,0.17643426,0.2049619,0.2300487,0.24334157,0.2446181,0.23948036,0.2339799,0.23068917,0.22904992,0.22832064,0.2279213,0.22840905,0.22947,0.23088755,0.23089145,0.2283452,0.2226456,0.21588272,0.21076562,0.20920508,0.2097822,0.20943469,0.20555155,0.19854368,0.19067447,0.18442643,0.18045838,0.17798264,0.1755959,0.17225651,0.16758788,0.16156773,0.15476538,0.14808504,0.14293738,0.13994081,0.13854979,0.13677125,0.13297893,0.12678309,0.11938962,0.11218212,0.105856605,0.10020647,0.09508308,0.09103236,0.08950227,0.091178335,0.09503085,0.09771822,0.096342236,0.09048126,0.08323488,0.07884466,0.079883665,0.08618787,0.09557754,0.10609344,0.11599994,0.12406063,0.12861776,0.12930095,0.1269561,0.123841934,0.12141055,0.12003535,0.11893692,0.11753863,0.11562255,0.11357468,0.11280802,0.11692824,0.13085866,0.15682733,0.19029124,0.22087641,0.2394229,0.24363619,0.23817526,0.22927767,0.22109546,0.21483938,0.20972736,0.20425166,0.19715674,0.18909581,0.18160458,0.17619969,0.17264421,0.1704756,0.16959774,0.17077237,0.17383039,0.17710496,0.17809631,0.17514281,0.16839854,0.15924108,0.1496252,0.14116211,0.13505746,0.13135321,0.12911557,0.12661421,0.12262473,0.11691996,0.11048526,0.10493666,0.10182894,0.10187218,0.10418559,0.10672519,0.10752972,0.10613712,0.10365456,0.10148447,0.10034987,0.09980649,0.099103205,0.097462356,0.0947986,0.09146658,0.088374,0.08631927,0.085857905,0.08699771,0.089507274,0.09290675,0.09672601,0.10050479,0.10412087,0.10776213,0.111764945,0.116119795,0.1202699,0.12376966,0.12746067,0.13390185,0.145684,0.16274028,0.18142968,0.1964583,0.20413445,0.20402144,0.1990331,0.19419523,0.19480337,0.20347981,0.21820693,0.23325713,0.2427324,0.24358036,0.23543136,0.21947427,0.19880824,0.18023968,0.1723247,0.17970254,0.19817108,0.21764892,0.22929959,0.230765,0.22454576,0.21441078,0.2035801,0.19473755,0.18979019,0.18854856,0.18926477,0.18991165,0.18943574,0.186513,0.17840363,0.16196896,0.13686116,0.10777998,0.08232733,0.066722475,0.06223187,0.066215195,0.075359456,0.089018844,0.10878607,0.1354579,0.16562212,0.19225253,0.20824347,0.21003066,0.19735436,0.17241772,0.1395915,0.106933795,0.083621524,0.07528159,0.07964975,0.08860463,0.093945324,0.09251631,0.08707414,0.08358506,0.08745081,0.10008215,0.11778867,0.13393642,0.14356555,0.14616865,0.14497067,0.14343141,0.14329019,0.14432323,0.14547455,0.14544195,0.14321876,0.13852459,0.13209389,0.12599237,0.123436056,0.12811333,0.14128856,0.15992154,0.17665184,0.18489625,0.18259813,0.17344777,0.16252925,0.15291584,0.1443616,0.13544266,0.12550545,0.11528465,0.106078155,0.09867283,0.09299924,0.088383175,0.084324576,0.080978066,0.07932705,0.08047623,0.08487635,0.09164357,0.099001646,0.10506409,0.10886193,0.11013291,0.108865,0.10454839,0.09711319,0.08794915,0.081043504,0.08153102,0.09347346,0.11625508,0.14432706,0.1690061,0.18416409,0.18860257,0.18608738,0.1810193,0.17635989,0.17284179,0.17032064,0.16834395,0.16644078,0.16418374,0.16110145,0.15660588,0.1498032,0.13973194,0.12579317,0.108513616,0.08987799,0.07299486,0.060426343,0.052955568,0.049080063,0.046741832,0.044387084,0.041895043,0.039450128,0.03735313,0.035440054,0.03373873,0.03227319,0.031285696,0.03089785,0.031215763,0.032147784,0.033377156,0.0347641,0.037359495,0.044240613,0.058966428,0.08233025,0.10995436,0.13436581,0.14974828,0.1552968,0.15409313,0.14992505,0.14491902,0.13988477,0.13480519,0.12987228,0.12495709,0.12040519,0.11626029,0.11300284,0.11078488,0.11035337,0.1123207,0.116882116,0.122707866,0.12739605,0.12899102,0.12705405,0.122837774,0.1177791,0.1130569,0.10895344,0.105445564,0.1021814,0.098989986,0.09589949,0.0929054,0.09018728,0.08783,0.0864681,0.08611941,0.08667699,0.08705052,0.086734064,0.08533916,0.08339282,0.08124096,0.0791653,0.077059366,0.074769855,0.07233717,0.06983698,0.06754455,0.06566096,0.06448177,0.06409965,0.06461788,0.066357695,0.069975644,0.075947784,0.08368814,0.09132436,0.09639878,0.09737002,0.09437909,0.08900779,0.08296442,0.07722336,0.0719147,0.066822104,0.061866537,0.05713229,0.052959964,0.049768467,0.048118114,0.049112808,0.054434046,0.06632498,0.0850929,0.10830595,0.12998052,0.14486377,0.15050799,0.1492002,0.14453195,0.13949718,0.13491322,0.13064909,0.12634246,0.12172023,0.11678699,0.111582585,0.10663857,0.10245796,0.099982806,0.09968379,0.10145407,0.10387796,0.10527429,0.104639135,0.102350764,0.0994562,0.096662186,0.093861364,0.090527266,0.08634133,0.081578024,0.0768998,0.07291498,0.06978325,0.0672196,0.06483441,0.06252366,0.060469944,0.05895388,0.05785805,0.056796793,0.055311244,0.05354902,0.05264701,0.05456813,0.061155856,0.071842395,0.08289485,0.088738315,0.08669418,0.079556435,0.07428298,0.07633182,0.08572755,0.0976694,0.107307106,0.113775134,0.119946085,0.12872885,0.13948806,0.14859323,0.15233125,0.1501015,0.14432327,0.13870513,0.13546579,0.13424496,0.13239282,0.12693857,0.11657232,0.103250474,0.09226489,0.089027844,0.09502185,0.10503753,0.112207316,0.11346638,0.11354836,0.118915595,0.13251336,0.14991207,0.1645311,0.17195755,0.17350556,0.17333268,0.17541407,0.18023254,0.18500441,0.1852128,0.17809789,0.16429769,0.14768852,0.13197874,0.11922807,0.11021424,0.10711499,0.11384412,0.13260275,0.16037445,0.18729323,0.20242654,0.19960125,0.18258367,0.16254531,0.15209214,0.15800907,0.17769605,0.2019852,0.22121899,0.23087294,0.23197876,0.22819722,0.22292131,0.21802025,0.21421523,0.21108128,0.2076089,0.20261748,0.19575955,0.18774855,0.18008186,0.1738966,0.1689258,0.1635387,0.15582792,0.14617895,0.13738008,0.13355722,0.1357537,0.1416049,0.14621615,0.14640555,0.1413164,0.13253425,0.12263775,0.114604175,0.11044157,0.11001676,0.111234315,0.11156604,0.10974422,0.10595628,0.101180255,0.09649789,0.09343395,0.094438076,0.10251502,0.119053386,0.1415459,0.16357861,0.17826074,0.18246163,0.17815293,0.17005229,0.16204584,0.15565889,0.15080906,0.14730133,0.14545786,0.14557318,0.14729334,0.14930786,0.14997667,0.1479898,0.14326824,0.13761888,0.13465767,0.1384229,0.15020657,0.1671847,0.18318033,0.1933255,0.19633918,0.19483203,0.19186781,0.18935244,0.18748362,0.18575369,0.18321298,0.1787029,0.17128526,0.1608607,0.14822157,0.1345798,0.12097424,0.10824419,0.09712873,0.088302515,0.08201907,0.0779587,0.07536595,0.07351041,0.07199064,0.070680715,0.06955577,0.06850761,0.06754301,0.06678677,0.06651774,0.06698585,0.068656065,0.07251446,0.08002522,0.092095345,0.107667856,0.1231184,0.1336915,0.13581188,0.12930425,0.11736529,0.10563692,0.09966805,0.10271274,0.11357882,0.12695777,0.13639699,0.13829051,0.13398737,0.12796108,0.12447593,0.12504624,0.1283256,0.13125785,0.13101345,0.12706813,0.12206953,0.120127864,0.12317223,0.12961213,0.13563238,0.13906014,0.13981457,0.13968669,0.13989957,0.14132798,0.1435398,0.14526297,0.14461891,0.14137782,0.13842355,0.14080612,0.1519712,0.17022996,0.18927383,0.20207386,0.20519035,0.19926202,0.18716429,0.17131889,0.15342753,0.13470799,0.116853535,0.101554684,0.089978985,0.08249974,0.07938751,0.08155959,0.08885333,0.09811332,0.10306248,0.09928041,0.088478275,0.078309804,0.07598439,0.08271427,0.09309003,0.09991717,0.099395216,0.09346095,0.0881347,0.08935029,0.09912312,0.11428902,0.12908357,0.13913476,0.14373367,0.14551781,0.14756028,0.15178712,0.15737046,0.16207492,0.16280045,0.15778925,0.14691718,0.13220464,0.11637142,0.10172406,0.08930235,0.07990197,0.07517567,0.07793635,0.08980626,0.10921538,0.13054353,0.14740992,0.15588002,0.15669316,0.153283,0.14923166,0.14625062,0.14448248,0.14334486,0.14223424,0.14068861,0.1384909,0.13577285,0.13294363,0.13054891,0.12915431,0.12961452,0.13268983,0.13826703,0.14437176,0.14798935,0.14695126,0.14146952,0.1334821,0.12478096,0.11596686,0.1068195,0.09748131,0.08857592,0.08103088,0.07519748,0.07125503,0.069126986,0.06915814,0.07137581,0.07545274,0.080267765,0.08471752,0.088092454,0.09044153,0.092063904,0.093013845,0.09263704,0.089810394,0.08387461,0.07572489,0.06799003,0.06349931,0.06389085,0.06929377,0.07996883,0.09612339,0.116632305,0.13693179,0.15092134,0.15421952,0.14701869,0.13289328,0.11608443,0.09945787,0.08430344,0.071208835,0.06038819,0.051895853,0.04534951,0.040186137,0.03576168,0.03174847,0.028075254,0.024896791,0.02231399,0.020359615,0.019019857,0.018299045,0.018207751,0.018523687,0.01887373,0.018761715,0.01806862,0.016934559,0.015763424,0.014732219,0.013906402,0.013209582,0.012668386,0.012297253,0.012097561,0.012000934,0.011931326,0.0118295355,0.011642634,0.011338107,0.010897583,0.010358062,0.00978515,0.009267564,0.008867099,0.008611809,0.008488081,0.008462186,0.008482635,0.008479527,0.008380213,0.008140271,0.0077791605,0.00735439,0.0069334735,0.0065511316,0.0062313997,0.005987175,0.00583268,0.0057541947,0.0057121688,0.0056497175,0.005524606,0.005325248,0.0050681825,0.004784415,0.0045049116,0.0042590383,0.004068594,0.0039450256,0.0038782747,0.0038408197,0.0037930112,0.003702176,0.0035504994,0.0033417912,0.003092318,0.0028251845,0.0025618474,0.0023217383,0.0021174783,0.0019523286,0.001819462,0.0017068577,0.0016058963,0.0015127104,0.0014286292,0.0013525045,0.0012820235,0.0012118724,0.0011397876,0.0010647847,0.0009889933,0.00091483427,0.0008452597,0.0007819108,0.0007244686,0.00067202514,0.0006231803,0.00057756784,0.00053323706,0.0004886383,0.0004412986,0.0003908932,0.0003376515,0.00028404506,0.00023273972,0.00018619145,0.00014510716,0.00010893426,7.737719E-05,5.0977455E-05,3.111673E-05,1.8602414E-05,1.3665207E-05]