[0.03312768,0.042188138,0.06009085,0.07947529,0.09728121,0.11771324,0.1469608,0.18610269,0.2275136,0.26134443,0.28130308,0.28861868,0.28647506,0.27779785,0.26232556,0.24105072,0.21591814,0.19166817,0.17189598,0.15936656,0.15408792,0.15521152,0.16041596,0.1668932,0.17110305,0.17018332,0.16260351,0.14931737,0.13261853,0.11570064,0.10047089,0.088127844,0.078389175,0.07120495,0.06611884,0.06322461,0.061961528,0.061893743,0.062042978,0.06209579,0.061705854,0.061158504,0.06053565,0.060121074,0.06005539,0.060266,0.06076685,0.061226383,0.06190424,0.062573515,0.06355283,0.06438899,0.06523454,0.065749325,0.06623546,0.06657172,0.06687507,0.067108296,0.06730894,0.06789205,0.068843566,0.070629634,0.072539024,0.07463103,0.075800665,0.07647865,0.07613931,0.0756396,0.07461051,0.07382285,0.073472105,0.074660905,0.077832215,0.08309114,0.089888304,0.097038865,0.10337616,0.10721999,0.107890986,0.105041265,0.10002493,0.09393986,0.08863926,0.08514183,0.085478544,0.090287305,0.09951353,0.110221036,0.11972379,0.12573761,0.12855357,0.12907688,0.12833762,0.1263019,0.12212191,0.11540619,0.10656045,0.09747919,0.08967843,0.08483439,0.084291875,0.09027517,0.103618495,0.122683026,0.14268835,0.1587101,0.16806453,0.17136623,0.1710502,0.16967827,0.1687458,0.16837378,0.16757138,0.16499211,0.15987653,0.15242015,0.14336866,0.133162,0.12166654,0.1089102,0.09574181,0.084071,0.07533085,0.07014209,0.06749141,0.066545784,0.06621888,0.06654052,0.06714479,0.068305396,0.069649525,0.07123653,0.0727166,0.07407553,0.075097226,0.07562524,0.07555702,0.07483262,0.07367738,0.072045796,0.07018313,0.06814983,0.06661754,0.06591221,0.06644779,0.06783968,0.06969375,0.07128101,0.07233667,0.07277884,0.072888725,0.07291022,0.07303804,0.07340676,0.07378458,0.07367615,0.072312266,0.06970233,0.0664757,0.06389036,0.06254701,0.062421452,0.06274265,0.06279146,0.062262837,0.061294645,0.060546637,0.060842764,0.064217456,0.07297551,0.08871146,0.108610116,0.1268241,0.1374894,0.1409155,0.1423171,0.14742641,0.15668577,0.16608271,0.17177217,0.17338575,0.17348452,0.1740191,0.17484646,0.17445393,0.1720289,0.16862291,0.16654903,0.1678744,0.17296243,0.18011327,0.18657915,0.18993945,0.1890189,0.18410277,0.17612647,0.16642489,0.15581882,0.14517283,0.13509631,0.12637775,0.11936465,0.11387262,0.10977497,0.10716095,0.1070281,0.10957406,0.11469418,0.12063525,0.12587214,0.12839119,0.12731217,0.122255,0.11422801,0.1049364,0.09623467,0.08909121,0.08346469,0.07955774,0.0787844,0.083071016,0.092491336,0.104141146,0.11388346,0.11921389,0.12057152,0.11985397,0.11879778,0.1179699,0.11756597,0.117355645,0.11725777,0.11670842,0.11530346,0.11228562,0.107141614,0.09994921,0.09342607,0.093568005,0.107592605,0.13743052,0.17573701,0.20729102,0.2198873,0.21158643,0.19276364,0.17617351,0.16955893,0.1716299,0.17649795,0.17849243,0.17553447,0.1689486,0.16202058,0.1573084,0.15628469,0.1582998,0.16272284,0.16843875,0.17508475,0.18170707,0.18722369,0.19012749,0.18971765,0.18656468,0.18257396,0.17954391,0.17803846,0.1772934,0.1762319,0.17417432,0.17074801,0.1656911,0.15932423,0.15256196,0.14661087,0.14196192,0.13875291,0.13720846,0.13797478,0.14118724,0.14585969,0.15027232,0.15316127,0.15432148,0.15397702,0.15218626,0.14868794,0.14382188,0.13843095,0.13354655,0.12947287,0.12599443,0.122944646,0.1203902,0.11854576,0.11716741,0.11611868,0.11536049,0.115169145,0.1153438,0.11528901,0.114400834,0.11284267,0.11141642,0.11086812,0.11112413,0.111445576,0.11112025,0.1101192,0.10897031,0.108131796,0.107747726,0.1079754,0.10964212,0.11403734,0.12175363,0.13169308,0.141379,0.14931881,0.15662193,0.16614842,0.17933877,0.19421685,0.20709537,0.21528332,0.21856959,0.21793152,0.21463811,0.20987345,0.20504445,0.2010753,0.19813824,0.1955549,0.19269575,0.189314,0.18565989,0.1820265,0.17852725,0.17497484,0.17118531,0.16695811,0.16233718,0.15734203,0.15209945,0.14661099,0.14090003,0.13506658,0.12940387,0.12431374,0.12003926,0.11651824,0.11339819,0.11030835,0.10710191,0.103883825,0.10089949,0.098204635,0.09572107,0.093222715,0.09071522,0.08836475,0.08648405,0.085185625,0.08430606,0.08352076,0.08256384,0.0814164,0.080171876,0.07898414,0.077934355,0.077221625,0.07721913,0.07856038,0.08148861,0.085584514,0.089621335,0.09310105,0.09684356,0.10319226,0.1137568,0.12816872,0.14337891,0.15554953,0.1620841,0.16322243,0.16154754,0.15981507,0.15924776,0.15896583,0.15760884,0.15428042,0.14933945,0.14365798,0.13838886,0.13430454,0.13165778,0.13003083,0.12864266,0.12704925,0.12544017,0.12471647,0.12549068,0.12776886,0.13073888,0.13368694,0.13614862,0.13807712,0.13945462,0.14054304,0.1417406,0.14355479,0.14610922,0.14912786,0.15203166,0.15415464,0.15520197,0.15515439,0.15455063,0.15389706,0.15375002,0.15435015,0.15567932,0.15744431,0.1591891,0.1606275,0.16166891,0.16219151,0.16191196,0.16020632,0.15672697,0.15150934,0.14534928,0.13940734,0.13476253,0.13208991,0.13140512,0.13251035,0.13504535,0.13880686,0.14361611,0.14922976,0.15533113,0.16152507,0.16777016,0.1744197,0.18233329,0.1921254,0.20392771,0.21650857,0.22795773,0.2355925,0.23769808,0.23335971,0.22341524,0.20942576,0.19385113,0.17900503,0.16651702,0.1564195,0.14707762,0.13604362,0.12153401,0.10392064,0.08612623,0.07248395,0.066471405,0.06878778,0.07690326,0.08646229,0.09331564,0.09553197,0.09394818,0.09149039,0.09091967,0.09265318,0.09385421,0.090429515,0.08044771,0.066606306,0.05484346,0.05057178,0.055324096,0.06664483,0.080438375,0.093375556,0.103902616,0.11183158,0.11770445,0.122314185,0.12607828,0.12878938,0.1294954,0.12740757,0.12233343,0.11484163,0.1056195,0.095143594,0.08409998,0.0739966,0.06740421,0.06671632,0.07276839,0.08401128,0.09731702,0.1094169,0.11824995,0.12334948,0.12541997,0.125284,0.12336838,0.11957875,0.11394799,0.1063709,0.09671257,0.08455179,0.07040686,0.05588649,0.043561,0.0351875,0.031141616,0.030449634,0.032163825,0.03579132,0.0415692,0.049732547,0.060429573,0.07315072,0.08696291,0.10054177,0.112588234,0.12184479,0.12710674,0.12774354,0.12422458,0.1183933,0.11248421,0.1080933,0.10554534,0.10436934,0.104027696,0.1043093,0.1052726,0.10686035,0.10878971,0.110471494,0.111323185,0.11101978,0.10989723,0.10893019,0.109617144,0.113589995,0.122411005,0.13714074,0.15793936,0.18377297,0.21251728,0.24127263,0.2662566,0.28390095,0.29187784,0.29166397,0.28650638,0.2798768,0.27162763,0.261014,0.24845575,0.23763973,0.23165993,0.23075806,0.23233537,0.23460536,0.23741038,0.2411968,0.2442111,0.24424672,0.24035175,0.23431276,0.22833602,0.22304384,0.21790455,0.21261011,0.20843375,0.20646645,0.20657359,0.20741795,0.20790128,0.20820616,0.20852906,0.20859975,0.20754336,0.20524548,0.20256399,0.20023036,0.19820458,0.1957389,0.19254468,0.1891529,0.18605568,0.18333577,0.18043095,0.17708588,0.17348419,0.16982718,0.16614912,0.16214228,0.15798084,0.15413778,0.150976,0.1483172,0.14566727,0.143139,0.14139225,0.140826,0.141055,0.14108314,0.14063342,0.1399442,0.13940994,0.1387428,0.13734283,0.135091,0.13228631,0.12948765,0.12678994,0.1241009,0.1215669,0.11973255,0.120775856,0.12800889,0.14668466,0.17888616,0.22225197,0.26657858,0.30179408,0.32062614,0.3239087,0.31452945,0.29631135,0.27139384,0.24239397,0.21251899,0.18444298,0.16077065,0.14297554,0.13264598,0.12962295,0.13245733,0.13851005,0.14508022,0.15041555,0.15302841,0.152426,0.1483254,0.1414568,0.13272789,0.12316564,0.11373144,0.10492769,0.09722236,0.09027669,0.08413446,0.07850242,0.0739053,0.070236914,0.06784227,0.066297375,0.06591105,0.06624406,0.067311384,0.06818623,0.06856275,0.0680415,0.0671129,0.066359915,0.06633729,0.06748081,0.069697455,0.07305065,0.07678845,0.08138513,0.08779657,0.09978641,0.119033456,0.14585774,0.17466283,0.20053245,0.21805823,0.22696607,0.22775878,0.22303765,0.21429257,0.20294614,0.19029175,0.17763405,0.16676186,0.15869753,0.15426478,0.15299237,0.15421675,0.15673858,0.15998532,0.16354108,0.16759829,0.17189975,0.17543286,0.17570227,0.17046785,0.1600995,0.14900218,0.14329064,0.14627446,0.1562828,0.16831483,0.178016,0.18374872,0.1860193,0.18613786,0.18487626,0.1827399,0.17942287,0.17448097,0.16686153,0.15636538,0.14382088,0.13197842,0.12354388,0.12016588,0.12104312,0.12425361,0.12756284,0.12933064,0.1282231,0.123505235,0.116118245,0.109126985,0.10680097,0.11146113,0.12188718,0.13353552,0.14155096,0.14293277,0.13755935,0.12789987,0.11805407,0.112702616,0.114522226,0.12288406,0.1334156,0.14129418,0.14365445,0.14125246,0.13653459,0.1319619,0.1286121,0.12645635,0.124973595,0.12368697,0.12269416,0.12239786,0.12327727,0.124965705,0.126408,0.1260454,0.123343565,0.11924502,0.116595306,0.118102275,0.12503098,0.13561052,0.14674251,0.15520163,0.15987809,0.16097169,0.15997988,0.15801655,0.15617307,0.15466036,0.15348725,0.15200572,0.14978093,0.14664064,0.14346838,0.14173871,0.14287217,0.14690699,0.1523798,0.15723746,0.16024008,0.16136037,0.1612428,0.16047418,0.15953188,0.15878619,0.15864746,0.1591878,0.16027708,0.1614217,0.1619693,0.16102634,0.15784208,0.15235424,0.14564537,0.1398259,0.13693231,0.13782857,0.14137203,0.14532442,0.14742838,0.14685778,0.14379431,0.13906193,0.13324986,0.12693802,0.120646596,0.114784636,0.10953873,0.10487554,0.1009533,0.09803455,0.096488036,0.09630292,0.09723327,0.098678686,0.10028314,0.101679884,0.10296594,0.10395688,0.10464397,0.10459232,0.1037637,0.10227782,0.10068814,0.099372365,0.09798705,0.095597096,0.09081251,0.08325996,0.07352925,0.06360904,0.05517811,0.04926367,0.045569744,0.043383066,0.042188596,0.04177101,0.042321365,0.043405026,0.044750657,0.045791566,0.047204178,0.049585965,0.05332427,0.05704255,0.058900233,0.057740863,0.054160457,0.049972508,0.046806484,0.045693163,0.046498388,0.049372654,0.055586886,0.069161065,0.0937398,0.12859207,0.16511184,0.19164817,0.20054634,0.19391948,0.18016894,0.1690839,0.16555649,0.169504,0.17584246,0.17932458,0.17775989,0.17384319,0.17194803,0.1738259,0.17783499,0.18119413,0.18286355,0.18315105,0.18248217,0.18053465,0.177616,0.17431904,0.17164065,0.16924863,0.16688949,0.16437234,0.16230588,0.16083898,0.15954034,0.15800361,0.15644921,0.15551087,0.15494287,0.15367788,0.15074448,0.14686619,0.14374359,0.1426865,0.14304398,0.14316557,0.14191784,0.139632,0.1374088,0.13586146,0.13487263,0.13413392,0.13354339,0.13303106,0.1321189,0.13036233,0.12798756,0.12586935,0.12479806,0.124537535,0.124221034,0.12317156,0.12155924,0.12003308,0.118902795,0.1179334,0.11669073,0.115059175,0.11316838,0.11111331,0.10879967,0.106397115,0.10430925,0.10304753,0.10247605,0.101924784,0.10061825,0.09811503,0.09434257,0.08952371,0.08493414,0.083462216,0.08851746,0.10183885,0.122161366,0.1461345,0.17041807,0.19187687,0.20854335,0.21907862,0.22417408,0.22501242,0.22305065,0.21939589,0.21525939,0.21170217,0.20893984,0.20642357,0.2035227,0.20012791,0.19667286,0.19358248,0.19107068,0.1890593,0.18735798,0.18562941,0.18349415,0.18052673,0.17641693,0.17108826,0.16476043,0.15802991,0.15148021,0.14549752,0.13997513,0.13461252,0.1291977,0.12381304,0.118761204,0.11430148,0.110544145,0.10739053,0.10467134,0.10216599,0.099703185,0.097101,0.09427222,0.091188066,0.08790985,0.08446588,0.080903776,0.077345654,0.074105024,0.07150782,0.06975297,0.068754174,0.06825859,0.06810663,0.068524905,0.07035483,0.07444984,0.08090285,0.08851731,0.09592267,0.10332212,0.11288848,0.12692693,0.14455517,0.1613066,0.17142098,0.17244609,0.16625552,0.15749536,0.14968444,0.14417626,0.1406069,0.13867505,0.13809387,0.13853253,0.13937573,0.14072448,0.14308156,0.14690799,0.15132876,0.1550563,0.15719141,0.15858446,0.16103087,0.16672991,0.17699964,0.19194794,0.20981199,0.22733724,0.24084425,0.24775487,0.24759461,0.2415499,0.23148972,0.2188863,0.20453113,0.18905805,0.17293578,0.15664363,0.13965921,0.12140953,0.10184893,0.08300521,0.067626536,0.057821948,0.05342797,0.053075165,0.055685695,0.06160909,0.07185988,0.08618537,0.10206645,0.115343906,0.122869246,0.12393577,0.12000924,0.11254475,0.10218173,0.08923206,0.07522205,0.06259581,0.053686336,0.04950397,0.050571565,0.058127806,0.073784016,0.09740334,0.12506378,0.1507559,0.16956355,0.18040556,0.18496092,0.1856706,0.18423462,0.18185931,0.1795875,0.17812614,0.17751908,0.17715263,0.17617582,0.17386748,0.16967815,0.16297434,0.1528541,0.1387252,0.121748835,0.10568581,0.09595257,0.09651002,0.10749402,0.12502725,0.14361335,0.15867871,0.16774274,0.17047615,0.16775332,0.16115753,0.15210901,0.14185071,0.13138327,0.12142425,0.112362154,0.10425242,0.09814454,0.09610367,0.100651175,0.11194944,0.12752259,0.14315026,0.15589881,0.16482727,0.17052366,0.1736841,0.17464952,0.17387712,0.17196167,0.16957797,0.16655876,0.16220616,0.15525968,0.14494078,0.13094859,0.11469013,0.09911274,0.08847516,0.08584555,0.091549866,0.10259067,0.11430621,0.12234286,0.12395231,0.11839955,0.106521726,0.09044182,0.07301671,0.05729674,0.045547474,0.038531985,0.035568032,0.03534778,0.03754672,0.04384688,0.05831352,0.08394689,0.11951051,0.15716155,0.18780673,0.20597498,0.21331589,0.21419112,0.21192004,0.2068053,0.19831978,0.18707524,0.17523384,0.16568814,0.16075133,0.16143025,0.16717279,0.17634583,0.18709512,0.19798775,0.20807429,0.21660979,0.22290003,0.22668998,0.22806925,0.22714151,0.22331321,0.21584772,0.20472406,0.19148372,0.17850304,0.1677186,0.15947843,0.15268315,0.14580818,0.13793011,0.12918325,0.120421536,0.11275681,0.106890224,0.102724575,0.099349976,0.09559784,0.09084181,0.08517606,0.07926553,0.07367519,0.06878155,0.064608805,0.061121136,0.05813703,0.055454746,0.05280744,0.05008945,0.047344793,0.04474281,0.042319905,0.040049262,0.037889495,0.035954066,0.034377813,0.033239003,0.0324655,0.031869818,0.03120142,0.030247508,0.028945027,0.027440153,0.026047705,0.02513696,0.024947703,0.025464049,0.026371678,0.027286187,0.027935239,0.028322505,0.028536327,0.028699087,0.02881608,0.028901717,0.028874954,0.028683426,0.028210403,0.027453968,0.026418835,0.025318997,0.024427691,0.024119308,0.024393374,0.024942582,0.025151992,0.02479531,0.023990072,0.023262141,0.022886878,0.02294182,0.023131328,0.023231747,0.02307372,0.022751326,0.022388423,0.022143481,0.022139058,0.022668907,0.024581783,0.029679349,0.04136547,0.06371859,0.10011119,0.14914684,0.20441519,0.25497377,0.292419,0.31245145,0.31719315,0.30940378,0.29300413,0.27030566,0.24548985,0.22160067,0.20197104,0.18766111,0.17988531,0.17844445,0.18247312,0.1889152,0.19444685,0.19621368,0.19359891,0.1869356,0.17749049,0.1660015,0.15346949,0.14044671,0.12770724,0.115941845,0.1060437,0.09875017,0.094084024,0.091284744,0.089139394,0.086932816,0.08477205,0.08342575,0.08380299,0.08686739,0.09325475,0.10307705,0.11475003,0.1258692,0.13347757,0.13656186,0.13517825,0.13117194,0.12574376,0.120504916,0.11596194,0.112846784,0.110699244,0.10892835,0.10663861,0.103583656,0.100420505,0.097960435,0.09763505,0.10001811,0.105754055,0.11349323,0.121315025,0.12632872,0.12717244,0.12392616,0.11793802,0.11097927,0.10410107,0.09868155,0.094718546,0.09278476,0.091639765,0.091531046,0.091564685,0.093426965,0.098305345,0.10963503,0.12825848,0.15318646,0.17883086,0.19951212,0.21117723,0.21434587,0.2118302,0.2073977,0.20324731,0.20088278,0.20000587,0.20050597,0.20093356,0.20095484,0.19977231,0.19841363,0.1977576,0.19913156,0.20234223,0.20690466,0.21221139,0.21839422,0.22502725,0.23097606,0.23452358,0.23482482,0.23208295,0.22732548,0.22160603,0.21560739,0.2096541,0.2035848,0.1972846,0.19040996,0.18300058,0.17509525,0.16762708,0.16184448,0.15924038,0.16007821,0.1636379,0.16818261,0.17242353,0.1752095,0.17640845,0.17603433,0.17521821,0.17482565,0.17598176,0.17842217,0.18129216,0.18202554,0.17818476,0.16812861,0.15355472,0.13868363,0.12913847,0.12915348,0.14093305,0.1643454,0.19793546,0.23914094,0.28469512,0.329612,0.36786625,0.3936881,0.40509176,0.40437222,0.39701548,0.38810602,0.38066754,0.3752731,0.37121665,0.36777237,0.36489043,0.363003,0.3622079,0.3617142,0.3604091,0.357623,0.35350814,0.34831706,0.34166422,0.33258545,0.32009777,0.30378628,0.28370667,0.2604126,0.23526661,0.21040703,0.1881433,0.16952763,0.15423393,0.14100398,0.1290859,0.118166916,0.1083723,0.09950045,0.09184462,0.08584231,0.08252632,0.08175825,0.08309287,0.084933646,0.086751275,0.08755585,0.087389894,0.08570793,0.08301666,0.07964098,0.07615813,0.07282821,0.06982797,0.06798472,0.067983575,0.0705084,0.074828364,0.079923294,0.084602445,0.08842211,0.09112971,0.09249129,0.092600286,0.09179345,0.090631716,0.089078605,0.08689136,0.083920665,0.08047327,0.07702118,0.07373207,0.07078039,0.06856521,0.067825116,0.06904042,0.071527034,0.07392957,0.07432708,0.07219655,0.067857824,0.063187435,0.05965068,0.058155194,0.05827303,0.058906835,0.059250314,0.058663756,0.057368565,0.055239554,0.05304736,0.051282465,0.051263288,0.05344257,0.058168877,0.06432595,0.07079493,0.07731888,0.08694967,0.10454447,0.13253416,0.16651203,0.1964835,0.2138074,0.21737719,0.21408983,0.2130525,0.21859288,0.2279712,0.23378025,0.23079817,0.21841438,0.20096456,0.18311572,0.16900922,0.16034092,0.15760322,0.15941781,0.16448785,0.17153287,0.17969285,0.18789035,0.19546765,0.2026403,0.20967667,0.21614315,0.22056349,0.22213115,0.22135536,0.2201639,0.22011453,0.2218051,0.22425108,0.22619365,0.22626491,0.2241239,0.21966553,0.21352853,0.20720631,0.2039869,0.20777206,0.22003381,0.23751831,0.2537753,0.26345804,0.26556817,0.26219392,0.25618666,0.24924065,0.24241813,0.23614316,0.23008282,0.22341885,0.21526597,0.20570971,0.19559084,0.18713222,0.18251884,0.18279374,0.18620594,0.18964542,0.19080973,0.18944895,0.18662973,0.18307383,0.17934291,0.1761132,0.1747634,0.17622526,0.18021838,0.18499763,0.18891102,0.19172366,0.1948451,0.19945227,0.20517634,0.21049453,0.21417421,0.21668546,0.21896829,0.22254719,0.2277617,0.23490961,0.2426915,0.24921174,0.25165203,0.24797791,0.23814732,0.22426564,0.20996916,0.19808404,0.19085592,0.18969981,0.19651832,0.21150963,0.23236631,0.25358912,0.26995578,0.2790468,0.28260407,0.28384754,0.28477824,0.28454432,0.28148946,0.2749956,0.26669204,0.25838628,0.25099,0.24348742,0.23411196,0.22077315,0.2029,0.18243974,0.16427217,0.15329315,0.1516213,0.15711506,0.16539894,0.17170715,0.17240058,0.16545747,0.15154217,0.13408126,0.11760766,0.10525165,0.09740757,0.09269511,0.08963877,0.08776292,0.08761871,0.09030973,0.09678099,0.10668477,0.11806494,0.1280257,0.13466819,0.13773091,0.13816004,0.13668591,0.13359608,0.12902345,0.12340512,0.117444046,0.11184137,0.1071229,0.10294934,0.09850448,0.09299313,0.08745306,0.08381349,0.08402013,0.08765473,0.09329337,0.099103846,0.10457763,0.10943837,0.11388212,0.117898405,0.12167883,0.124655105,0.12632501,0.12619968,0.12495339,0.12300717,0.12079743,0.11808605,0.115097485,0.11238548,0.110927194,0.111438215,0.11365043,0.11650831,0.11853176,0.119144656,0.11813579,0.11622604,0.113901295,0.11239368,0.11172191,0.11126376,0.109173365,0.10508176,0.1007308,0.099073045,0.10214475,0.10841001,0.11465294,0.11705426,0.115165025,0.11036251,0.10537491,0.10137472,0.09907948,0.098585874,0.099843144,0.10136575,0.10106342,0.097159736,0.089749806,0.0803176,0.071153946,0.063975714,0.05955206,0.05746259,0.056758236,0.056502756,0.05632909,0.056582842,0.05810897,0.061685193,0.06759747,0.07556244,0.085407875,0.09699983,0.1103249,0.12455106,0.13881508,0.15249807,0.16640389,0.18197255,0.20050377,0.22166492,0.24379511,0.26534516,0.28690842,0.31043187,0.3365955,0.36223662,0.38255915,0.39484492,0.40116668,0.40601203,0.4130499,0.42339134,0.43660393,0.4520038,0.4679347,0.48070097,0.48430598,0.47312185,0.44499788,0.40289262,0.35377,0.30576542,0.26570997,0.23740481,0.22112346,0.21404456,0.21162333,0.20969152,0.20586471,0.20017163,0.19397564,0.18891753,0.18573743,0.1842889,0.18376891,0.18339829,0.18277414,0.1819276,0.18092692,0.17953475,0.17712413,0.17335065,0.168545,0.16392596,0.16066271,0.15908466,0.15805274,0.15535212,0.14910585,0.13920571,0.12811722,0.11913249,0.11421291,0.1125823,0.11218357,0.11163787,0.11121583,0.11185337,0.11405509,0.11717672,0.11991655,0.120621055,0.1182918,0.11270821,0.10483446,0.096554674,0.090576194,0.09008313,0.096824564,0.11061853,0.12819342,0.14630212,0.16168348,0.17335021,0.18054122,0.18444495,0.18663312,0.18966211,0.19437428,0.20022851,0.20509964,0.20765191,0.20741872,0.20495613,0.20036335,0.19358028,0.18482177,0.1753669,0.16699411,0.16087057,0.15720303,0.15569544,0.15659523,0.16096741,0.1698104,0.18351053,0.20028019,0.21705396,0.22946493,0.23488027,0.23297083,0.22582573,0.21554701,0.2031885,0.18987744,0.17801015,0.17076798,0.16964626,0.17316173,0.17819618,0.18240477,0.18524249,0.18716486,0.18807995,0.18773985,0.1864915,0.18581559,0.1870981,0.19021632,0.19361357,0.19527884,0.19440347,0.1915283,0.1879207,0.18425357,0.18058075,0.17653537,0.17218234,0.16728203,0.16194427,0.15629555,0.15123087,0.14725845,0.14428237,0.14159824,0.13872449,0.13599265,0.1340241,0.13308336,0.13249296,0.1313069,0.12929797,0.12733638,0.12684411,0.12911816,0.13491572,0.14437707,0.15619636,0.16769405,0.17556049,0.17770171,0.17426701,0.16705763,0.15837795,0.1498605,0.14241093,0.13641171,0.13168103,0.12778215,0.124041826,0.120338865,0.11715996,0.115366966,0.11535448,0.11677175,0.119466126,0.12563668,0.14000398,0.1676311,0.20830043,0.25477934,0.29487753,0.31897607,0.324352,0.31529382,0.29874036,0.27985942,0.2611806,0.24251693,0.22395808,0.20574673,0.19010788,0.17901713,0.17402048,0.17419817,0.1771555,0.18008357,0.18119456,0.18016867,0.17731448,0.17309064,0.16761553,0.16084154,0.15311508,0.14480661,0.13652171,0.1279036,0.11871717,0.10872377,0.099088855,0.09111819,0.08625858,0.084845036,0.087115936,0.09271904,0.10114703,0.1107389,0.119456165,0.12557156,0.1286102,0.12932222,0.12865895,0.12772758,0.12700902,0.1271589,0.12790485,0.12890013,0.12897195,0.12775339,0.12512513,0.12193046,0.11855084,0.11509653,0.111137785,0.10634934,0.100975215,0.09545133,0.09078207,0.087281704,0.08529166,0.084022604,0.08306088,0.08166885,0.08014747,0.07875229,0.07815671,0.07849738,0.08025827,0.08459073,0.0936962,0.10981443,0.13381875,0.16466911,0.19886212,0.23099892,0.2543194,0.26395997,0.25888306,0.24314944,0.22262566,0.20317526,0.18781555,0.17818958,0.1741515,0.17600961,0.18350582,0.19608839,0.21166532,0.22726274,0.2402281,0.24897325,0.25382638,0.2560536,0.25770378,0.25974378,0.2619253,0.26266214,0.2607588,0.2561783,0.25010687,0.24379991,0.23752446,0.23039787,0.22061415,0.20666367,0.18775189,0.16521055,0.14171767,0.121048264,0.10552732,0.09623136,0.09262005,0.09462094,0.101509325,0.11213625,0.123017035,0.13094912,0.13328798,0.13076304,0.12485198,0.118108064,0.11134494,0.105445005,0.100265734,0.0962514,0.09329769,0.09197953,0.09372684,0.1015177,0.11792275,0.14236152,0.16989143,0.19364916,0.20894177,0.21489781,0.21347582,0.20693173,0.19763114,0.18735375,0.1780991,0.17067061,0.16568923,0.162858,0.16217284,0.16301604,0.16476603,0.16636701,0.1672919,0.1675734,0.16805474,0.1693812,0.1717066,0.17424585,0.17613228,0.17662488,0.17536123,0.17175603,0.16491912,0.15424256,0.14051975,0.12593323,0.11334777,0.10396666,0.097738564,0.09309724,0.08977863,0.08749343,0.08651686,0.0853825,0.083083846,0.07890286,0.0743227,0.070513085,0.06861979,0.06773045,0.06721064,0.065868564,0.06409078,0.06197995,0.06050518,0.059717968,0.05990684,0.060480427,0.061006874,0.06087712,0.060054045,0.058845315,0.057971627,0.058656547,0.06274631,0.07169775,0.08539929,0.100706846,0.1137355,0.12112286,0.12314128,0.121114254,0.11745456,0.11261529,0.10736072,0.10171599,0.09662735,0.09203669,0.08777209,0.08292878,0.07709629,0.07029588,0.06351637,0.05873586,0.0579664,0.06215648,0.069462955,0.07667455,0.08035818,0.08006337,0.07713565,0.07461241,0.07344866,0.073433876,0.07249112,0.07039558,0.068086974,0.06770107,0.06937107,0.0714263,0.07229984,0.07325319,0.07917275,0.094527,0.11986294,0.15008776,0.17914104,0.20389773,0.22443259,0.24040373,0.24938518,0.2498386,0.24369545,0.2354026,0.22837292,0.22288091,0.21762878,0.21088338,0.20268224,0.1937229,0.18637569,0.18177964,0.18055697,0.18096246,0.18204463,0.18357591,0.18773599,0.1960511,0.20803638,0.21961252,0.22616632,0.2250889,0.21802394,0.20882453,0.20121838,0.19630158,0.19272429,0.18814552,0.1813945,0.17333986,0.16647975,0.16285522,0.16292034,0.16476594,0.16602594,0.16527255,0.1632098,0.16144545,0.16111936,0.162327,0.1646338,0.16777344,0.17122628,0.1742263,0.17568173,0.17560484,0.17462213,0.174239,0.175088,0.17773242,0.18199863,0.18854868,0.1987928,0.21549557,0.23970391,0.26816508,0.29197314,0.30204132,0.2946857,0.27502885,0.25222316,0.23389669,0.22224152,0.21605349,0.21381928,0.21569125,0.22243105,0.23426907,0.2505492,0.27051553,0.29253218,0.31324852,0.32714298,0.32926142,0.31784543,0.2965958,0.27248105,0.2534264,0.24347524,0.24289542,0.24732476,0.25247493,0.2547968,0.2541946,0.25170228,0.24882309,0.24583577,0.24235074,0.23811285,0.23329382,0.22839941,0.22420754,0.22255337,0.22606434,0.23643017,0.25213033,0.2685884,0.28096116,0.286948,0.28767464,0.28563008,0.283096,0.280856,0.2790092,0.27729842,0.2759081,0.27521968,0.27571726,0.27743295,0.27997208,0.28266886,0.2851262,0.28735757,0.28933373,0.29015186,0.2877274,0.2796572,0.26478112,0.24383312,0.21909876,0.1929395,0.16742939,0.14407603,0.1243388,0.10909683,0.09842496,0.09158367,0.087610655,0.0860039,0.08677433,0.09039527,0.09746822,0.10810292,0.12171521,0.13642435,0.15024032,0.16113037,0.1684065,0.17193234,0.17220277,0.16937979,0.16370921,0.1558099,0.14697832,0.1385168,0.13133813,0.12560323,0.121240996,0.11797473,0.1155847,0.11391274,0.1128281,0.112537324,0.1135883,0.116700135,0.122088075,0.12868543,0.13513203,0.13973288,0.14221282,0.1419337,0.13957864,0.13512574,0.13015616,0.12539059,0.12207556,0.119892396,0.11878631,0.118641675,0.12023079,0.12375921,0.1282137,0.13161421,0.1325665,0.13127647,0.12873182,0.12586279,0.12284807,0.1196335,0.11604548,0.112125255,0.108216226,0.104836404,0.10228607,0.100820564,0.100047134,0.099515654,0.09779563,0.0943684,0.0893052,0.08412754,0.08006195,0.077686876,0.07686422,0.07724929,0.079351276,0.0842405,0.09342053,0.106240004,0.11897236,0.12527306,0.12088516,0.106671564,0.08859367,0.07290075,0.062829055,0.05873518,0.062104717,0.07818112,0.11349311,0.16936266,0.23624675,0.29725587,0.33709693,0.3518975,0.3478243,0.33536282,0.32119957,0.30897817,0.30032375,0.2976875,0.30167207,0.3109232,0.32218018,0.33374405,0.34633616,0.36215195,0.38166466,0.40256807,0.42106518,0.4350629,0.4452412,0.4540708,0.46263146,0.46911082,0.4691426,0.45893168,0.43797603,0.41006768,0.38112712,0.35592422,0.33552864,0.31712815,0.29582968,0.26797527,0.23448752,0.20255804,0.18334161,0.1862698,0.21286422,0.2550821,0.29952928,0.33528855,0.3589882,0.3739898,0.38503107,0.39395976,0.399605,0.40038565,0.39628187,0.3884753,0.37808737,0.36535084,0.35003117,0.3318769,0.31077716,0.2861059,0.25709006,0.22422339,0.19111462,0.16390522,0.14788489,0.14401305,0.1483165,0.1549742,0.1597751,0.16128145,0.15972179,0.15494877,0.14720903,0.13876717,0.1364244,0.14869492,0.18100284,0.23004349,0.28510594,0.33382428,0.37045038,0.3998028,0.43482932,0.487926,0.56109667,0.6432619,0.71669537,0.7686557,0.79747385,0.81091475,0.8187852,0.82784694,0.8400624,0.85459995,0.869464,0.8823443,0.8893976,0.88375634,0.8553293,0.7940758,0.69650894,0.5712308,0.43859348,0.3217916,0.23639502,0.18412322,0.1572405,0.14484544,0.13935657,0.13591747,0.13255994,0.12814505,0.12298433,0.11766926,0.11318559,0.110159375,0.10886433,0.11060076,0.11902958,0.14080714,0.17974894,0.23287416,0.28811935,0.3334984,0.36279368,0.37949327,0.3898666,0.3992494,0.4090744,0.41950837,0.43041563,0.4421548,0.4548924,0.46829352,0.48101953,0.48995805,0.48978302,0.4747713,0.4424474,0.39671084,0.34641156,0.30097175,0.26599422,0.24262114,0.22903539,0.2226404,0.22063176,0.22003384,0.21689506,0.2072476,0.18894984,0.16412012,0.138443,0.11777384,0.10450076,0.09732642,0.09426095,0.09623166,0.1080834,0.13700496,0.1888901,0.26534566,0.36286142,0.47401226,0.58928424,0.6966229,0.78314024,0.83820814,0.86068946,0.8593233,0.8496692,0.84437746,0.8495686,0.86339945,0.8807838,0.89648265,0.90778655,0.91446394,0.91810155,0.9212356,0.9264841,0.9351774,0.94688606,0.9593899,0.97048664,0.978308,0.9818205,0.97972757,0.9707201,0.9530441,0.9239979,0.87884337,0.811538,0.7192998,0.60756207,0.4914141,0.38860813,0.31094655,0.25914982,0.22653788,0.20509617,0.1896891,0.17794073,0.16870661,0.16137846,0.15551479,0.15071113,0.14616531,0.14097744,0.13474709,0.12766124,0.12023301,0.11259995,0.10497686,0.09796169,0.09343153,0.09390386,0.101832576,0.11673202,0.13467629,0.14873408,0.15451401,0.151806,0.14540939,0.13945536,0.13663231,0.13634007,0.13792832,0.13978274,0.1411164,0.14111374,0.14027448,0.13947898,0.13961798,0.14056665,0.14117171,0.14056604,0.1400258,0.14397953,0.1574711,0.18204093,0.2129911,0.2418512,0.2613046,0.26898396,0.26680934,0.25841227,0.24645163,0.23246865,0.21698757,0.20108421,0.1859157,0.17324607,0.16425724,0.16123654,0.16812365,0.19082375,0.23253913,0.28933194,0.3482071,0.3928739,0.4113967,0.4025807,0.37494823,0.34179583,0.31389487,0.2960099,0.28727528,0.2848923,0.2868563,0.29218408,0.30002713,0.30905578,0.31898475,0.33044973,0.3449768,0.36224306,0.38112438,0.39967087,0.41741547,0.4334605,0.44651863,0.45424291,0.45546278,0.45072356,0.44241095,0.43343377,0.42663646,0.42448375,0.42830786,0.43705216,0.4458083,0.44783637,0.43773267,0.4156071,0.38598916,0.3551762,0.32743242,0.30476657,0.28816232,0.27811638,0.274827,0.27688074,0.28230473,0.28821942,0.29215714,0.29206005,0.2876855,0.28063136,0.27370763,0.26917514,0.26802805,0.26976976,0.2740606,0.2810584,0.29401815,0.31810275,0.35976243,0.41932806,0.4881803,0.5489404,0.5859321,0.5937287,0.57942325,0.55611616,0.5348231,0.52126384,0.5163147,0.5182871,0.52445406,0.5325642,0.54194164,0.55306077,0.5660028,0.579938,0.59359306,0.6070498,0.62045985,0.63259643,0.6384854,0.63117224,0.604779,0.5585402,0.49771357,0.43164894,0.36953497,0.31725606,0.27643865,0.24631424,0.2251628,0.21122122,0.20235042,0.19655423,0.19254734,0.18962675,0.1872191,0.18459134,0.18243748,0.18282466,0.18824024,0.19747971,0.20638819,0.20942241,0.20594586,0.19881968,0.19281214,0.18876962,0.18482564,0.17871659,0.17077428,0.1637698,0.15996854,0.16082184,0.16599822,0.17482837,0.18459584,0.19175278,0.19272651,0.18699084,0.17668428,0.16543727,0.15601784,0.14972483,0.14656141,0.14513636,0.14355345,0.140144,0.13514577,0.13032073,0.12756865,0.127334,0.12820463,0.12859787,0.1286325,0.13127029,0.14040284,0.15693732,0.17637484,0.19131011,0.19697689,0.19500528,0.19070613,0.18885581,0.19027753,0.19353847,0.1963851,0.19755656,0.19666815,0.19463821,0.19287843,0.19422053,0.2033956,0.2286696,0.2769359,0.34768853,0.427604,0.49532914,0.53202987,0.5309484,0.5003295,0.45662782,0.41591546,0.38573167,0.3653418,0.34951237,0.33414468,0.31831363,0.30360028,0.29244456,0.28608158,0.28478214,0.2873735,0.293045,0.3009489,0.31134424,0.32425034,0.33922204,0.35444745,0.36786434,0.37804902,0.38499263,0.3892413,0.39164364,0.3928105,0.3935667,0.3942679,0.39479384,0.39472935,0.39380148,0.39248028,0.39121643,0.3912027,0.39288107,0.39662924,0.4008309,0.40399173,0.4040068,0.40011334,0.39138508,0.37825537,0.361586,0.34259558,0.32084677,0.29509452,0.26547235,0.23587559,0.21217467,0.19825369,0.19298917,0.19203317,0.19192235,0.19285893,0.19750406,0.2076186,0.22202295,0.23817764,0.25588265,0.2794874,0.3152252,0.36477986,0.42061946,0.46789464,0.49350274,0.49425146,0.47850594,0.4592266,0.4464054,0.4434699,0.44943848,0.46203268,0.47979054,0.5019831,0.52778214,0.554858,0.57933354,0.59696215,0.6054664,0.60540515,0.59960026,0.5911582,0.5822508,0.5734923,0.56459475,0.554743,0.5427181,0.5260842,0.5010504,0.46381426,0.4135077,0.35423577,0.29462776,0.24361508,0.2065984,0.18323128,0.17012079,0.16322072,0.1600012,0.15833105,0.15648286,0.15297149,0.1477172,0.14154148,0.13612239,0.13242017,0.1310131,0.13067897,0.13034703,0.12905984,0.12879555,0.1320708,0.14002998,0.14895567,0.15249328,0.14635418,0.13168697,0.1142523,0.09944379,0.08992192,0.085036255,0.08332037,0.083446555,0.08466592,0.086536385,0.088495605,0.090384625,0.091920376,0.09361762,0.09584869,0.099559456,0.10521814,0.11353603,0.124878965,0.1393615,0.15654902,0.1752602,0.19432014,0.21224624,0.22801425,0.24049501,0.24875253,0.25205302,0.25025806,0.24487804,0.23830922,0.23300417,0.22924662,0.226085,0.22278963,0.22157519,0.22583055,0.23805182,0.25677463,0.27868938,0.30041122,0.32078016,0.3400019,0.35914066,0.3787301,0.39806697,0.41379896,0.42037597,0.41074225,0.38053644,0.3313968,0.27343163,0.22033982,0.18297006,0.16394766,0.16066654,0.16999514,0.191978,0.226492,0.2698517,0.31271896,0.344056,0.35600415,0.3481293,0.32715926,0.3025812,0.28159165,0.266027,0.25476512,0.24651383,0.24179398,0.24143477,0.2450145,0.250659,0.2552216,0.25597513,0.25067213,0.23937255,0.22346069,0.20669949,0.1929072,0.18626505,0.18695576,0.19253813,0.19716358,0.19837576,0.19615804,0.1939487,0.19279319,0.19255297,0.19169785,0.19019778,0.18916951,0.19072528,0.1987422,0.21731693,0.24943434,0.2912897,0.33332953,0.36254373,0.37148964,0.36050949,0.33775544,0.3123177,0.29099283,0.27601698,0.26724792,0.2632445,0.26240024,0.2627817,0.26233914,0.25959373,0.25399128,0.24610604,0.2368507,0.22713773,0.21763115,0.20899886,0.2024429,0.19908859,0.19969751,0.20342076,0.2085322,0.21350287,0.21752936,0.22133346,0.2246014,0.22705734,0.2261665,0.22069727,0.21049674,0.19879125,0.18969895,0.18627174,0.18888135,0.19575082,0.20456123,0.21330704,0.22035454,0.2245753,0.22581084,0.22493643,0.2235534,0.22234194,0.22130477,0.21971895,0.21747345,0.21496247,0.21275246,0.21123789,0.21029069,0.20950842,0.20853984,0.20677318,0.2035985,0.19799893,0.18987648,0.18032937,0.17097355,0.1630138,0.15640049,0.15104997,0.14714138,0.14483826,0.14425327,0.14481694,0.1464259,0.1488341,0.1515636,0.153858,0.15417303,0.15193339,0.14744918,0.14368707,0.14552432,0.15726818,0.18028767,0.20983654,0.23893474,0.26049724,0.2731329,0.27903414,0.2828597,0.28682402,0.29095694,0.29397807,0.29610777,0.2993805,0.30639216,0.3187177,0.3363155,0.3582544,0.3833919,0.41043636,0.43716708,0.4598733,0.47427312,0.47742093,0.46945116,0.45294264,0.43189132,0.4100869,0.39044067,0.37302294,0.35409674,0.32802817,0.2917989,0.24891537,0.20821513,0.17920913,0.1681543,0.1761558,0.20102052,0.23649196,0.27475858,0.3058307,0.3223298,0.32045314,0.30371884,0.27995607,0.25792095,0.24161494,0.23031372,0.22184366,0.21554106,0.2120955,0.21051198,0.20879507,0.20530237,0.20102786,0.19763874,0.19564396,0.1939583,0.19159257,0.18942638,0.18993884,0.19573767,0.2081393,0.226035,0.24680392,0.26694128,0.2837317,0.29523122,0.30007124,0.2973976,0.28699145,0.27043927,0.25078177,0.23195744,0.2175764,0.21029268,0.21280228,0.22722228,0.25504664,0.2937341,0.33619907,0.37093294,0.3882333,0.3853128,0.36877167,0.34897244,0.3334947,0.32372737,0.31763664,0.31365922,0.31182945,0.31293252,0.31685957,0.3232366,0.33158728,0.34198758,0.35437906,0.3680483,0.3811841,0.3908609,0.39441356,0.39024112,0.37900767,0.3624816,0.34329745,0.32325414,0.30358338,0.28431797,0.26552746,0.2475828,0.23146938,0.21827061,0.20858294,0.20285223,0.20071805,0.2013765,0.20267051,0.20259124,0.19924486,0.19237714,0.1822744,0.1703418,0.1579469,0.14661376,0.1368727,0.12829012,0.12010745,0.11221045,0.10561496,0.101124704,0.09893385,0.0983265,0.099732436,0.10461985,0.11540661,0.13206871,0.15127915,0.16633154,0.17152123,0.16525377,0.15141386,0.1362169,0.12474839,0.118605904,0.11666093,0.116650134,0.11692881,0.11715121,0.117998935,0.12044689,0.12435093,0.12856196,0.1317116,0.1349956,0.14245993,0.15982048,0.18894048,0.22619526,0.26204234,0.2884686,0.3011119,0.30252635,0.296226,0.2863184,0.27422407,0.2619911,0.25180092,0.24712926,0.25110283,0.26612237,0.2941414,0.33758137,0.3982019,0.47283125,0.5492124,0.6087475,0.63646096,0.63036925,0.6012537,0.5633723,0.5264999,0.49506783,0.47274768,0.46432233,0.47381774,0.50020605,0.53715545,0.5750909,0.6074366,0.6328592,0.6555157,0.679509,0.7062922,0.73392534,0.7602825,0.78379554,0.8030515,0.81508654,0.8170931,0.80814594,0.79111296,0.76971394,0.7456928,0.71615005,0.67583877,0.62108403,0.55291146,0.47709107,0.40134248,0.33386144,0.2820349,0.25124013,0.24187984,0.24813943,0.26063886,0.2713375,0.27644348,0.276074,0.27166465,0.26514995,0.2573576,0.24866658,0.23804854,0.22508454,0.20976777,0.193964,0.18013363,0.17102118,0.16745408,0.16856627,0.17254655,0.17906223,0.1889648,0.20307605,0.21978687,0.23561446,0.24644263,0.250147,0.246922,0.23955895,0.23215699,0.22913049,0.23295517,0.24234466,0.25251147,0.25824246,0.25778124,0.2537305,0.25014374,0.2492101,0.25015214,0.25165197,0.2534653,0.25611815,0.25872785,0.2585152,0.25308993,0.24315272,0.2326026,0.22586143,0.22470824,0.22831076,0.23454373,0.24199896,0.24956779,0.2559053,0.2589894,0.25682053,0.24856271,0.2354582,0.22067778,0.20819682,0.20086579,0.20000677,0.20570956,0.21768872,0.23605777,0.26049328,0.29052606,0.3220221,0.3474594,0.35598183,0.34104344,0.3049095,0.25970295,0.2198195,0.19418834,0.1830665,0.18157072,0.1844442,0.188165,0.19000733,0.18764591,0.18068121,0.17135857,0.16317093,0.15758371,0.15383941,0.1505142,0.14777814,0.14627768,0.14606859,0.14606185,0.14569318,0.14523292,0.1452254,0.14556025,0.14596368,0.1471305,0.15133266,0.16127588,0.17809196,0.19882786,0.21679176,0.2246908,0.21944706,0.20451623,0.18715537,0.1746402,0.16988444,0.17180644,0.17576014,0.17788519,0.1776372,0.17974466,0.19118023,0.21660596,0.2541554,0.2956271,0.33007705,0.34950462,0.3517817,0.34067795,0.32258216,0.30344364,0.28664765,0.27299255,0.26171216,0.2524179,0.24529628,0.24129651,0.24034977,0.2422936,0.24641065,0.25264147,0.26041973,0.26911262,0.27797136,0.28682467,0.29558036,0.3039569,0.31122574,0.3170636,0.3213543,0.32452846,0.32664573,0.3279675,0.32865348,0.3294997,0.3314048,0.33491346,0.3395244,0.3437594,0.34624708,0.34585628,0.3421286,0.334779,0.32457396,0.31286743,0.3009183,0.28886262,0.2754619,0.25906667,0.23837155,0.21453696,0.191606,0.17542303,0.16943304,0.17198838,0.17729531,0.17972909,0.17769098,0.17335717,0.17005187,0.16898662,0.16966379,0.17086677,0.1726593,0.17556708,0.18117422,0.19244313,0.21435595,0.25098792,0.30089876,0.35543373,0.40251684,0.43356964,0.44689894,0.44579923,0.43471897,0.4167012,0.3942181,0.36954585,0.3461876,0.32780883,0.31835687,0.31961665,0.3306133,0.34686542,0.36337712,0.3775355,0.39104852,0.4075689,0.42935088,0.4546461,0.4794331,0.49999937,0.51579666,0.52836543,0.5391593,0.54740804,0.5510373,0.54905707,0.5427659,0.53500867,0.52826315,0.52363795,0.52090627,0.51919854,0.5179827,0.51743764,0.51836663,0.52138263,0.5262875,0.53200895,0.5371099,0.54062414,0.5424028,0.54291886,0.54285246,0.5426698,0.54257876,0.54235,0.54141754,0.5393788,0.53615725,0.5324255,0.5285005,0.5246551,0.52057797,0.51694435,0.5147,0.51490027,0.5169868,0.5194168,0.5205261,0.51977676,0.5176881,0.5150127,0.5126045,0.51123506,0.51224875,0.51670283,0.524929,0.5355664,0.5463507,0.55515194,0.5611946,0.5651304,0.5684857,0.57270485,0.57852817,0.5853252,0.5914457,0.59462756,0.5935206,0.5884347,0.5816775,0.57611316,0.5733049,0.57258517,0.57199717,0.57008404,0.5668356,0.5631563,0.56007403,0.5581555,0.5575295,0.5577886,0.5581382,0.5578812,0.55714345,0.55687106,0.55817705,0.5611929,0.5649588,0.56787324,0.56878406,0.56756896,0.56517035,0.5630884,0.56258875,0.5641394,0.5672621,0.57101864,0.574754,0.57841647,0.5822184,0.5861695,0.58998996,0.5935347,0.5967793,0.59968114,0.6018724,0.60295975,0.60275435,0.60124785,0.5983894,0.5939656,0.587967,0.580892,0.57369447,0.56703085,0.5605046,0.5527114,0.54265994,0.53030276,0.5163525,0.5006053,0.48291728,0.46424404,0.44738206,0.43498412,0.42786583,0.42531157,0.4258872,0.4279522,0.42899725,0.4266226,0.41954637,0.4080501,0.39208627,0.37075785,0.3429531,0.3101057,0.27593455,0.24529593,0.22136533,0.20547406,0.19706643,0.19455458,0.19561256,0.1978618,0.19973163,0.20029408,0.19944732,0.19718683,0.1943437,0.1919788,0.19158977,0.19334811,0.1957651,0.19609813,0.19363002,0.19116513,0.19322892,0.20090567,0.2105329,0.21671586,0.21827547,0.21834743,0.22098415,0.226864,0.23323564,0.23751016,0.23866086,0.23862249,0.23885839,0.24026103,0.240979,0.23944432,0.23535877,0.23149098,0.23013468,0.23110326,0.2310303,0.22759013,0.22156376,0.2161417,0.21368234,0.2137789,0.21461044,0.21444593,0.21346001,0.21282218,0.21385361,0.21687096,0.2207248,0.22349013,0.2223958,0.21702646,0.20918232,0.20375405,0.20208673,0.20187719,0.19712734,0.1863292,0.17245519,0.16159154,0.15674596,0.15796335,0.16312575,0.17059368,0.1779185,0.18320833,0.18418682,0.18131965,0.17557389,0.16999042,0.16640425,0.1667692,0.17063211,0.17673403,0.18239252,0.18646729,0.18957949,0.19493277,0.20497346,0.22030087,0.23820992,0.25517416,0.26695275,0.2710656,0.26691297,0.2577474,0.24750954,0.23913006,0.23202153,0.22489144,0.2169983,0.20933013,0.20291817,0.19859141,0.19790167,0.2030556,0.21560413,0.23275034,0.24862409,0.25673094,0.25519267,0.24606489,0.23380905,0.22122645,0.2096167,0.19873202,0.18931131,0.1818677,0.1773709,0.17489807,0.17376427,0.17236276,0.17034864,0.16708195,0.163359,0.15997034,0.15778893,0.15626363,0.15433723,0.15098375,0.1456532,0.13778089,0.12761076,0.116992526,0.10911403,0.10633067,0.10879464,0.115342826,0.12493357,0.13736767,0.15209751,0.167687,0.18193851,0.19342035,0.20280933,0.2123316,0.22353192,0.23457022,0.24147718,0.24118592,0.23461397,0.22507997,0.21546406,0.20672989,0.1991406,0.19398122,0.1921681,0.19300751,0.19321553,0.1895613,0.18017663,0.16557574,0.14750467,0.1287414,0.11213827,0.10009056,0.09344409,0.09250513,0.09739453,0.10848427,0.12308828,0.13588451,0.14044015,0.13568538,0.12530416,0.11529716,0.10805219,0.10343676,0.10100042,0.10297697,0.112482965,0.13195057,0.16082704,0.19632645,0.23323624,0.26597035,0.29019427,0.3044903,0.3104677,0.3098748,0.3038437,0.2915051,0.27318802,0.25102815,0.2307414,0.21922247,0.22186476,0.23972695,0.26945174,0.30601668,0.34469748,0.38209403,0.41449216,0.43767396,0.4468647,0.4393078,0.41559038,0.3806117,0.3415639,0.30571997,0.27901736,0.2655712,0.2681938,0.28632963,0.31585595,0.34836745,0.3759508,0.3937317,0.40329084,0.40916434,0.41647437,0.4258739,0.43488896,0.4387374,0.43533683,0.42520022,0.4117128,0.39735255,0.38347316,0.36979195,0.35658398,0.34399495,0.3319061,0.3178879,0.2990831,0.2731305,0.2414927,0.20792173,0.1781774,0.15717442,0.14962994,0.15793137,0.18114711,0.21276927,0.24393547,0.26683173,0.2789344,0.2808864,0.27519622,0.2631004,0.24644715,0.22670306,0.20652024,0.18747152,0.17138614,0.15924412,0.15274729,0.15297824,0.16005208,0.17215334,0.185699,0.19699901,0.20305453,0.20318979,0.19808501,0.18958585,0.1795687,0.16966124,0.1609091,0.15327351,0.1467302,0.14166965,0.13965265,0.14183895,0.1485131,0.15862924,0.17054375,0.18204862,0.19047672,0.19365777,0.19095992,0.1842376,0.17652567,0.17090894,0.16888577,0.1706269,0.17479557,0.17947948,0.1823886,0.1820557,0.17806256,0.17178035,0.16518627,0.16037436,0.15796974,0.15820195,0.16104038,0.16732089,0.1776763,0.19237667,0.21042086,0.22994761,0.24787752,0.26170957,0.269413,0.27119222,0.26734874,0.2595664,0.24887697,0.23744522,0.2266403,0.21828742,0.21301883,0.21088208,0.2102689,0.20920795,0.20605464,0.20045312,0.1926385,0.18310858,0.17244627,0.16192788,0.152983,0.14658107,0.14253879,0.13995335,0.13811947,0.13693082,0.13706096,0.13893479,0.14222097,0.14553617,0.14771955,0.14925551,0.15231985,0.15990017,0.17385459,0.19495298,0.22124757,0.24881227,0.2709924,0.28315857,0.28407875,0.27867737,0.2731121,0.27272528,0.27774167,0.28610304,0.29454592,0.30231035,0.30922064,0.31534806,0.31918362,0.31996676,0.31826797,0.31638637,0.3164408,0.3197867,0.3273938,0.34005317,0.35750794,0.37660623,0.39222324,0.39963272,0.39798918,0.3896661,0.3782294,0.36552617,0.352486,0.34021094,0.330749,0.32524905,0.32278034,0.32047912,0.31554875,0.30678377,0.2946578,0.28026688,0.26374397,0.24473055,0.22274595,0.19931675,0.1767772,0.15839316,0.14572541,0.13889289,0.13583635,0.13422894,0.13257295,0.13079716,0.12933159,0.12833953,0.1277893,0.12814273,0.12989555,0.13344969,0.13904935,0.14706278,0.15724409,0.1671738,0.1737224,0.1749035,0.17264755,0.17055447,0.17194033,0.17711985,0.18426774,0.19031596,0.19334684,0.1932513,0.191671,0.19002296,0.19017708,0.19658165,0.21752053,0.25950184,0.31813964,0.37522995,0.40826926,0.40598643,0.37577197,0.33628464,0.30395317,0.2836906,0.271089,0.2590641,0.24420346,0.22770423,0.212743,0.20235203,0.19811685,0.20162654,0.21374537,0.23440675,0.26167473,0.29298493,0.3268071,0.3630118,0.40201512,0.4428067,0.48268017,0.51800853,0.54569393,0.56414384,0.57332724,0.57501274,0.5724705,0.56997293,0.5710861,0.57707787,0.5863858,0.59587914,0.60253346,0.6046394,0.6015273,0.59296846,0.5777859,0.553761,0.5185734,0.47237945,0.4193742,0.36671484,0.32170677,0.28814468,0.2659275,0.25212792,0.24447149,0.24238856,0.24602361,0.25422892,0.26366362,0.27146217,0.27636623,0.27986765,0.28298974,0.28597298,0.28740633,0.28687063,0.28451443,0.28131604,0.27802148,0.27544594,0.27380875,0.27119756,0.2643129,0.25061586,0.23202491,0.21378417,0.20184095,0.19922774,0.20646232,0.22246887,0.24611656,0.27549514,0.30857298,0.34267664,0.37665054,0.4101893,0.44460058,0.47908357,0.5100865,0.5313102,0.539077,0.5353108,0.5272667,0.5220284,0.52195245,0.5231032,0.51972103,0.50900686,0.4950811,0.48498526,0.4848086,0.49548042,0.51673895,0.5486259,0.5920653,0.6433137,0.6932931,0.72969073,0.74347925,0.73090315,0.6950939,0.6445266,0.5920879,0.54906017,0.5196436,0.49921468,0.47894117,0.45308915,0.4214197,0.3879238,0.35512057,0.32186508,0.28410038,0.24014871,0.19366185,0.15234302,0.12257687,0.10597795,0.09976715,0.1000382,0.10373328,0.1087782,0.11365476,0.11726528,0.11971415,0.12162127,0.12435279,0.1287846,0.13588215,0.14542425,0.15658905,0.16783796,0.17846829,0.18861216,0.19881797,0.20908564,0.2191462,0.22863536,0.23734505,0.24404168,0.24736667,0.24603754,0.24094005,0.23381855,0.22676255,0.22030805,0.21528502,0.21445318,0.2232029,0.24502917,0.27810696,0.31552097,0.35269853,0.3908325,0.43488562,0.48481193,0.5326917,0.56687933,0.58124495,0.5805631,0.5785529,0.590614,0.6254819,0.68030316,0.7407976,0.78552324,0.79250056,0.74714786,0.65013105,0.52210015,0.39703262,0.3067837,0.26395,0.25926316,0.2719904,0.28495172,0.29136094,0.29191682,0.28972316,0.2859815,0.2807075,0.27246404,0.26018324,0.24321182,0.22273368,0.20149924,0.18294705,0.16964398,0.16213621,0.15933289,0.1592891,0.16081496,0.1637821,0.169236,0.17761742,0.18813688,0.19845895,0.20649648,0.21135819,0.21310358,0.21192546,0.20758092,0.20102344,0.19419418,0.18978749,0.18889903,0.1915503,0.19728239,0.20574413,0.21595909,0.22551364,0.232767,0.23743051,0.24128564,0.2450332,0.24850523,0.25077474,0.25231466,0.2541486,0.25712693,0.2609025,0.26497582,0.26911244,0.27367797,0.27865598,0.28374207,0.28865,0.29368362,0.29973412,0.30758235,0.31759784,0.3290671,0.3402004,0.34891465,0.35380244,0.35553837,0.35535684,0.35482812,0.35399684,0.35288444,0.35090974,0.34812185,0.34481737,0.3420788,0.34097743,0.34163973,0.3429806,0.343348,0.34175095,0.3382683,0.33381256,0.32932392,0.32511696,0.32062784,0.31497046,0.30719414,0.29636908,0.28152585,0.26278216,0.24249983,0.22464322,0.2122273,0.20535363,0.20191962,0.20060505,0.20159991,0.20578282,0.21147574,0.21536393,0.21403445,0.20788789,0.19982903,0.19346118,0.18934864,0.18620206,0.18222325,0.17737268,0.17275272,0.16950105,0.1677088,0.16619733,0.16350347,0.15932809,0.1541089,0.14890717,0.1431395,0.13671425,0.12964098,0.12422189,0.12340566,0.13002914,0.14496465,0.16565968,0.18773846,0.20683222,0.22162555,0.23303896,0.24197549,0.2473858,0.246557,0.2380612,0.22370265,0.20795085,0.19555141,0.18842722,0.18622322,0.18709457,0.19004448,0.1941961,0.19869103,0.20176147,0.20237882,0.20037508,0.19701283,0.1930645,0.18882908,0.18415825,0.17928839,0.17455588,0.16971183,0.16407688,0.157587,0.15108679,0.14634436,0.1443603,0.14517216,0.14727402,0.14845854,0.14698301,0.14241402,0.13616689,0.13039918,0.12683351,0.12593634,0.12655859,0.12736423,0.12786405,0.12899488,0.13213255,0.13703449,0.14276427,0.1485262,0.15598673,0.16727729,0.18329303,0.20271318,0.22392173,0.24660043,0.27053455,0.2935625,0.31156036,0.32112548,0.32222536,0.31734097,0.30942515,0.2999361,0.2898114,0.28000593,0.27146545,0.26417366,0.25700703,0.24904971,0.23990981,0.23006122,0.21984236,0.20989615,0.20104681,0.19447659,0.19080842,0.18985523,0.19031954,0.19070798,0.18965857,0.18662842,0.18205188,0.17700088,0.17275847,0.16968678,0.16722359,0.1646325,0.16138472,0.15875123,0.15901302,0.16705312,0.18668701,0.21828067,0.25473025,0.28505036,0.30073655,0.30121943,0.29302928,0.28296843,0.2742062,0.26467052,0.25224832,0.23574103,0.21719414,0.1985671,0.18265706,0.17121732,0.16615498,0.1680041,0.17618757,0.18861605,0.20245606,0.21522011,0.22542973,0.23296833,0.23797649,0.2404189,0.23964958,0.23529196,0.22773236,0.21818769,0.20836012,0.1995741,0.19301325,0.18899314,0.18754864,0.18807857,0.19054697,0.19521774,0.20231692,0.21093297,0.21916606,0.22505496,0.22734874,0.22575201,0.2205807,0.21290351,0.20412786,0.1957621,0.1884829,0.18206294,0.17543453,0.16758724,0.15837356,0.1487887,0.14072697,0.13591592,0.13573824,0.14114486,0.15336753,0.17357956,0.20117901,0.2332211,0.2636915,0.28781167,0.30185592,0.3062922,0.3015282,0.28993237,0.2730068,0.2537944,0.23498732,0.21898188,0.2069326,0.1984474,0.19261514,0.18808226,0.18386954,0.17951024,0.17553039,0.17415635,0.17830805,0.18994373,0.20779304,0.22690326,0.24142969,0.24725212,0.24474867,0.23647131,0.22561479,0.21326129,0.19979937,0.1857193,0.17289601,0.16352168,0.15876156,0.15827829,0.16096254,0.16630073,0.17381692,0.182238,0.18930359,0.19349276,0.19535117,0.19659759,0.19860245,0.20120414,0.20393652,0.20636384,0.20848237,0.20972276,0.20938563,0.2068337,0.20201157,0.19531511,0.18773323,0.18107861,0.17781405,0.18017463,0.18909578,0.20313674,0.21904057,0.23272912,0.24164392,0.24486135,0.24287523,0.23598571,0.22494584,0.21127081,0.19794832,0.18769254,0.18200701,0.18023139,0.18083446,0.18209459,0.18290208,0.18282865,0.18197143,0.18079615,0.17901577,0.17604403,0.17095806,0.16432995,0.15735269,0.15246288,0.15133958,0.15553308,0.164228,0.17478876,0.1824839,0.18361948,0.17753613,0.16700226,0.15636551,0.14884211,0.1459912,0.14826299,0.15664561,0.17274153,0.19669956,0.22448653,0.24814987,0.2602819,0.25959924,0.25106835,0.24178785,0.23540984,0.2321303,0.23064834,0.23120064,0.23450124,0.24119262,0.25015336,0.25996554,0.26889718,0.2766334,0.28390613,0.29267606,0.30463317,0.31992093,0.33684233,0.35223308,0.3630619,0.3672081,0.3647267,0.35775253,0.34939334,0.34168443,0.33463648,0.32729146,0.31957656,0.3126582,0.30802235,0.30567554,0.30427405,0.3011173,0.2931184,0.2772428,0.2525438,0.22188471,0.19136135,0.16718991,0.15223135,0.14544633,0.14395373,0.14490272,0.14689727,0.14900361,0.15093555,0.15189354,0.15143885,0.14929192,0.1458971,0.1422713,0.14029591,0.14312148,0.15339877,0.1710446,0.1904043,0.20382404,0.20542657,0.1969678,0.18425469,0.17472123,0.17071521,0.17136122,0.17255475,0.17215091,0.1704383,0.17169271,0.18117528,0.20215254,0.23231988,0.26423,0.28970662,0.30502465,0.3123931,0.31655833,0.32096776,0.32654607,0.33293924,0.33994505,0.34789896,0.35782656,0.3708423,0.387344,0.40569064,0.42239353,0.43293026,0.43370238,0.42210504,0.39709508,0.35886344,0.3107029,0.25872636,0.21083365,0.1728202,0.14685638,0.13116242,0.12282264,0.11878231,0.11711613,0.116187625,0.11537371,0.11474783,0.11496044,0.116375916,0.118548036,0.121299475,0.12673576,0.14143978,0.17550433,0.23446226,0.31134903,0.38348544,0.42736056,0.43347856,0.41583398,0.3976643,0.3954591,0.40716282,0.41934958,0.41839376,0.3999431,0.36843458,0.3327242,0.30092344,0.2782284,0.26640296,0.26456693,0.2704761,0.28170273,0.29725957,0.31731334,0.34220287,0.36999583,0.39707673,0.42048898,0.4404011,0.45893076,0.4773439,0.49473295,0.51004404,0.5239342,0.5388407,0.5561759,0.5748711,0.5915254,0.6029253,0.60790485,0.60772324,0.6050579,0.6023094,0.60107875,0.6017461,0.6043427,0.60860294,0.61461383,0.6221877,0.63079745,0.63907856,0.6455414,0.6489869,0.6489312,0.6453957,0.63882524,0.63038546,0.6217471,0.61490625,0.6112533,0.6114932,0.61516905,0.6209056,0.62677795,0.6311052,0.6332148,0.6333175,0.6327043,0.63307744,0.6362732,0.6429236,0.65218455,0.66197914,0.6701326,0.67529744,0.6771114,0.6762294,0.67360497,0.6700907,0.66577125,0.6601692,0.6527469,0.6436644,0.634082,0.62593275,0.62097317,0.6197911,0.62119097,0.6230977,0.6239036,0.6235394,0.62275666,0.62209946,0.6211054,0.6192525,0.61647433,0.61373997,0.611984,0.6119671,0.6136678,0.6165281,0.6194225,0.6212173,0.62184525,0.62216157,0.6234129,0.62550586,0.6274161,0.6278543,0.6266981,0.6247482,0.62293005,0.6215923,0.6204241,0.61932755,0.61861336,0.6190695,0.62111884,0.624482,0.6282172,0.631259,0.63308936,0.6337573,0.6336575,0.6331212,0.63226706,0.6313341,0.63053775,0.6303151,0.6306427,0.6311771,0.63105375,0.62973183,0.6273685,0.6248271,0.62288505,0.6215492,0.62028474,0.6186962,0.61700565,0.6154075,0.6134238,0.60930896,0.60095555,0.58609563,0.564081,0.53566694,0.5045249,0.47469604,0.4499732,0.43069184,0.4154674,0.40193665,0.3897847,0.37992188,0.37350857,0.37004933,0.36814046,0.36670208,0.36579478,0.36543477,0.3644121,0.36068046,0.3530556,0.3422489,0.32965842,0.31555274,0.29888475,0.27879855,0.2567936,0.23601614,0.22002514,0.21012306,0.20574747,0.2047919,0.2053616,0.20607448,0.20617275,0.20559512,0.20447439,0.2035035,0.20294769,0.20319688,0.20399451,0.20496583,0.20488448,0.20235677,0.19667232,0.18893509,0.18157293,0.1766098,0.17442937,0.17452532,0.17663777,0.18095358,0.18661933,0.19168328,0.19474375,0.19664912,0.19964434,0.20450906,0.2095566,0.21244459,0.21250312,0.21133049,0.2105677,0.21126217,0.21265797,0.21397376,0.21380372,0.21220648,0.20944248,0.20688583,0.20477964,0.20301957,0.20064873,0.19734626,0.19369094,0.19069141,0.18901682,0.18796779,0.1866555,0.18488552,0.18363328,0.18367349,0.1843648,0.18377693,0.18031465,0.17375062,0.16577895,0.15864377,0.1546908,0.15486418,0.15890531,0.16483168,0.17030694,0.17298168,0.17194998,0.1675086,0.16188286,0.1580594,0.15865865,0.1636294,0.16994798,0.17341089,0.17149568,0.16503103,0.15679592,0.14967443,0.14439724,0.14031409,0.13552691,0.12906165,0.120985575,0.11397373,0.11192125,0.117958605,0.13148265,0.14757241,0.16088302,0.16885354,0.1746118,0.18215406,0.19369797,0.20622759,0.21594833,0.22029527,0.22024208,0.21797709,0.21589656,0.21506415,0.21488398,0.21360175,0.21006353,0.20518462,0.20076592,0.19799222,0.19681583,0.19874044,0.20624031,0.2210644,0.23917544,0.2538732,0.2588287,0.25408763,0.24245457,0.22821671,0.21280016,0.19776736,0.18350045,0.17191623,0.16317642,0.15815079,0.15590674,0.15707214,0.16066976,0.16546352,0.16784568,0.16536053,0.15781142,0.1480451,0.13933791,0.13331002,0.12947077,0.12645711,0.12315747,0.11933706,0.1150406,0.11035573,0.105180494,0.10003093,0.09630238,0.09585327,0.10015472,0.11002642,0.12601785,0.1478588,0.17402686,0.20104699,0.22558296,0.24452753,0.2564603,0.2596673,0.25431308,0.24147373,0.22470044,0.20637196,0.18849264,0.17101233,0.15532339,0.1417025,0.13145149,0.12402845,0.120825,0.12162038,0.12569636,0.12885445,0.12795983,0.12194418,0.11362949,0.10630959,0.102695435,0.103463836,0.10824103,0.11452195,0.11883647,0.11796979,0.11203272,0.104168944,0.09867107,0.09819937,0.10307909,0.11145407,0.11978646,0.12402132]