[0.037199765,0.03674804,0.037132587,0.041119322,0.05068435,0.065453075,0.082554914,0.09844225,0.11079639,0.11951744,0.12571444,0.13047892,0.1341471,0.1366743,0.13807988,0.13852938,0.13815175,0.13683802,0.13434307,0.13038285,0.12491456,0.118272476,0.11133543,0.105349965,0.1016182,0.10089031,0.10303236,0.10703844,0.11167529,0.11598814,0.11959698,0.12246802,0.124864854,0.1271665,0.12976769,0.13272601,0.13579406,0.13865636,0.14130248,0.14393945,0.14668007,0.14936642,0.15173738,0.15373945,0.15548098,0.15710674,0.15859146,0.15989454,0.16095066,0.16172035,0.16208045,0.16196518,0.16147363,0.16087733,0.16042121,0.1601182,0.15983266,0.15950193,0.1593051,0.15945435,0.15990794,0.16032796,0.16040836,0.16019247,0.1600126,0.16017531,0.1607814,0.16177033,0.16300511,0.1640866,0.16439678,0.16336362,0.1611173,0.15850562,0.15666924,0.15611939,0.15647538,0.15671273,0.15602504,0.15425554,0.1519804,0.14989765,0.14851134,0.14774455,0.14723106,0.14640151,0.1450237,0.14318238,0.14120238,0.13917641,0.13684142,0.13381952,0.12992746,0.12535301,0.120474875,0.115759395,0.11168042,0.10862895,0.106843136,0.1063746,0.10724806,0.10937049,0.11225637,0.114940405,0.11636629,0.11612316,0.11455444,0.11233867,0.10977477,0.10665544,0.10262116,0.09768722,0.092452765,0.08799874,0.08541957,0.085553795,0.08856091,0.09408756,0.10116601,0.10849609,0.114443146,0.11753139,0.11716788,0.114132814,0.11036097,0.10766172,0.106883444,0.10763794,0.10924518,0.11110198,0.11303681,0.11468459,0.11569246,0.11541263,0.11360893,0.11031521,0.1063619,0.10278822,0.10071924,0.10068611,0.10265973,0.10604835,0.11017293,0.11470443,0.119909525,0.12631124,0.13405298,0.14250182,0.15066834,0.15783487,0.16400637,0.16944547,0.17418094,0.17773964,0.17963696,0.17988499,0.17906725,0.17795241,0.17694499,0.17603748,0.17492563,0.17337555,0.17127568,0.16873336,0.16601223,0.16359973,0.1620295,0.16164897,0.16228867,0.16342957,0.1645345,0.16546975,0.16633396,0.16725649,0.16813605,0.16883422,0.16927338,0.16960691,0.17005093,0.1706446,0.17099331,0.17041145,0.16842555,0.16514444,0.16116054,0.15707912,0.15315068,0.14926274,0.14497565,0.13985609,0.13369335,0.12698367,0.12065048,0.11572454,0.112709045,0.11162428,0.1120275,0.11320409,0.1143563,0.11487595,0.11465195,0.1138181,0.11257859,0.1109119,0.108845495,0.106511526,0.10410308,0.10155392,0.09833958,0.09380969,0.08761493,0.08024012,0.072720505,0.06613316,0.060864806,0.05662237,0.052937713,0.049773633,0.047598157,0.046897594,0.047753815,0.04982536,0.052701112,0.056136172,0.06004255,0.064309895,0.06883723,0.07360802,0.078867935,0.08486914,0.09165593,0.09873555,0.10541266,0.11118162,0.11620134,0.12107298,0.12632602,0.1319381,0.13728757,0.14158072,0.14420344,0.14513546,0.1449113,0.14457053,0.14506178,0.14696537,0.15018022,0.15425809,0.15853333,0.16253585,0.16604103,0.1691699,0.17206375,0.17473997,0.17707795,0.17913024,0.18104541,0.18292911,0.18455386,0.18571581,0.18636203,0.18671083,0.1867978,0.18632114,0.18465649,0.18130834,0.17630292,0.1703956,0.16466205,0.15998691,0.15647687,0.15378626,0.15139644,0.14922367,0.14728935,0.14567249,0.14421974,0.14285956,0.14161259,0.14054792,0.13965099,0.13884784,0.13827215,0.13815139,0.13866842,0.13956511,0.14042534,0.1409312,0.14132635,0.1421033,0.14364076,0.14571208,0.14752549,0.14803866,0.14649473,0.14317326,0.13963734,0.13807927,0.13960902,0.14298481,0.14533566,0.14413936,0.13920437,0.13222614,0.12558223,0.12076,0.11836395,0.118135355,0.11945149,0.12147162,0.124077834,0.12781249,0.13357617,0.14111418,0.14906721,0.15559019,0.15951997,0.16075088,0.15950952,0.15647633,0.15205742,0.14708944,0.14178142,0.13639288,0.13046439,0.12376768,0.1156961,0.106161654,0.09547991,0.08520951,0.07733851,0.073536076,0.073987745,0.07772051,0.083257295,0.08937364,0.09509372,0.099665634,0.10264232,0.10396371,0.10402716,0.10333047,0.10242081,0.101577975,0.101244204,0.10189914,0.10398082,0.107173264,0.110518,0.11275154,0.11292087,0.110444374,0.105459064,0.09900478,0.09313037,0.08981347,0.08976988,0.09166503,0.093138486,0.092599,0.09042042,0.088109456,0.08667495,0.08593378,0.0853523,0.08478338,0.08451623,0.08482835,0.08617282,0.089056455,0.093697496,0.099590175,0.105799615,0.11192775,0.11791145,0.12389499,0.12888579,0.13203032,0.13282269,0.13236909,0.13177995,0.13156761,0.13152885,0.13133968,0.131644,0.13249294,0.13435775,0.13635346,0.13857727,0.1399021,0.14055824,0.1401071,0.13986093,0.13987727,0.14053647,0.14095521,0.1412835,0.14151879,0.14187378,0.14216597,0.14198941,0.14112219,0.1390649,0.1362753,0.13349576,0.13173234,0.13066258,0.12950373,0.12784553,0.12613359,0.1246986,0.12320664,0.121306926,0.11928156,0.11776849,0.11715385,0.11740402,0.1184117,0.11967317,0.1203194,0.11929705,0.11642829,0.112165056,0.10737541,0.102544256,0.0983211,0.09518784,0.09358751,0.09328696,0.09388,0.09452313,0.09429976,0.092403494,0.08912083,0.08588339,0.084235154,0.08478501,0.086755455,0.08905896,0.090610415,0.091249734,0.09132147,0.09193326,0.093621485,0.096184514,0.09864146,0.100521185,0.102378465,0.104866534,0.10816536,0.11129546,0.11423969,0.117404304,0.12204248,0.12774664,0.1336863,0.13872737,0.14284706,0.14635848,0.1494187,0.1523686,0.15502192,0.15744935,0.15884389,0.15954597,0.15987462,0.16055916,0.16101724,0.1606161,0.1595545,0.15870436,0.1591974,0.16072826,0.16342248,0.16656315,0.1703661,0.1737085,0.17649774,0.17794597,0.17840159,0.17755574,0.17631184,0.17551686,0.17635347,0.17853318,0.18103479,0.18263395,0.18304242,0.18274467,0.18198071,0.18075804,0.17848112,0.17548966,0.17183954,0.16810454,0.16379045,0.15933397,0.1549889,0.15151657,0.14859946,0.14594434,0.14375682,0.14255762,0.14257775,0.14285648,0.14305846,0.14322962,0.14399777,0.14446412,0.1430397,0.13854815,0.13190205,0.12536933,0.12067145,0.11798098,0.11645854,0.11592406,0.11674348,0.11912122,0.12205103,0.124198355,0.12447527,0.12294652,0.12040729,0.11840483,0.11801223,0.11927398,0.12111325,0.12251618,0.12324775,0.12301338,0.12088444,0.11544612,0.106777646,0.09689989,0.08888641,0.08483528,0.08475131,0.08728209,0.09046409,0.093224704,0.09515979,0.096952416,0.099091075,0.101657115,0.10389247,0.105260134,0.10596796,0.10679237,0.10809567,0.109349854,0.109831,0.10934829,0.10815916,0.105878405,0.10131531,0.09359198,0.083862476,0.07515022,0.070524186,0.07096112,0.07526494,0.081329584,0.08760178,0.09321558,0.09776491,0.10093784,0.102685906,0.10318962,0.102862924,0.10245248,0.10278976,0.104618005,0.10763612,0.11085852,0.11295038,0.11364335,0.113594234,0.11384908,0.11456102,0.11504496,0.11478212,0.11454115,0.11572977,0.11887466,0.122711025,0.12566662,0.12722047,0.12824313,0.12951212,0.13128074,0.13343859,0.13607103,0.13913162,0.14226456,0.14495957,0.14675094,0.14706928,0.14515655,0.14053804,0.13392662,0.1272556,0.12282846,0.121485464,0.12220336,0.123100676,0.12340208,0.12390721,0.12537618,0.12750459,0.12898542,0.12962379,0.13020165,0.13185726,0.13445522,0.13696046,0.13808964,0.13718271,0.13467865,0.13177878,0.12974119,0.12877233,0.12864397,0.12949312,0.13241257,0.13741075,0.14250751,0.14400953,0.14006908,0.13172843,0.1224928,0.11486995,0.10968321,0.10612283,0.10373334,0.10230327,0.1021367,0.10289595,0.10411164,0.10478928,0.1049057,0.10477647,0.10513913,0.105339855,0.10430837,0.101124965,0.09666351,0.09271216,0.091193296,0.09283978,0.09709642,0.10245189,0.10739171,0.11113483,0.11366596,0.11508414,0.1153527,0.11445425,0.11304673,0.1122032,0.11287802,0.11513808,0.11809031,0.12051716,0.12135092,0.120251946,0.1171604,0.11273253,0.1080589,0.10504303,0.10512873,0.10875222,0.114771135,0.121471636,0.12722404,0.13100402,0.13230193,0.13122731,0.12849136,0.12534635,0.123132974,0.1227766,0.124289095,0.1266886,0.12879002,0.12987016,0.13025494,0.13056986,0.13156681,0.13364065,0.1370812,0.1415512,0.14608009,0.14937474,0.15067695,0.15021323,0.14876278,0.14706649,0.1453331,0.1435333,0.14159761,0.13978098,0.13860315,0.13879189,0.1408393,0.14446504,0.14846162,0.15106593,0.15140955,0.15016417,0.14962332,0.15149896,0.15636326,0.16381122,0.17488062,0.19119598,0.21325131,0.2381397,0.2614894,0.2798154,0.2922873,0.29943216,0.30231285,0.3015885,0.29771066,0.2903017,0.27852488,0.2617293,0.24046676,0.2165492,0.19201648,0.16823317,0.14565267,0.12467581,0.10628083,0.092129946,0.08371549,0.08136067,0.08334143,0.0863798,0.0869759,0.08338902,0.076189525,0.06757017,0.05978994,0.05464295,0.05388254,0.059769172,0.074109465,0.09644186,0.12244604,0.14491637,0.1566173,0.15412839,0.13943166,0.11886406,0.09952998,0.086349666,0.08041792,0.08000014,0.08190033,0.083614945,0.08369381,0.08192981,0.078106515,0.07223595,0.06468992,0.05734283,0.05298315,0.05432042,0.061778147,0.07282283,0.082455724,0.08597266,0.081197105,0.06965346,0.05543782,0.043740418,0.039537977,0.046187878,0.063941754,0.088615656,0.11350755,0.13233915,0.14271736,0.1452573,0.14203468,0.1341287,0.12257045,0.10878699,0.095446944,0.08481401,0.07779831,0.073131286,0.06874024,0.063013345,0.055794943,0.047743615,0.03992336,0.03398912,0.032870054,0.040064026,0.057337224,0.082942575,0.111573555,0.13697648,0.15360986,0.15883102,0.15280221,0.13934557,0.123569906,0.11016321,0.10115086,0.09653396,0.09507492,0.095012955,0.0944008,0.091708906,0.08667523,0.08003066,0.07275079,0.06549612,0.05885757,0.05378804,0.051325753,0.052684892,0.058641553,0.06923603,0.08198444,0.09233156,0.09528903,0.08916219,0.076404,0.062537245,0.05312508,0.052176196,0.060739834,0.07651187,0.09381914,0.10629035,0.109759115,0.104557544,0.09414539,0.08311406,0.07512018,0.07275993,0.07695051,0.08626986,0.09672289,0.103556246,0.10408005,0.09889232,0.090930045,0.08279923,0.075871535,0.070564024,0.06816268,0.07065174,0.07933049,0.09270898,0.10660455,0.116555296,0.120165974,0.118115045,0.11288645,0.10771051,0.105307676,0.10689351,0.11171385,0.117318965,0.12159139,0.1231764,0.122453,0.12053683,0.12027606,0.12431917,0.13421525,0.14791,0.16112964,0.16882603,0.16789128,0.15806079,0.14189045,0.1236954,0.10759234,0.09629341,0.0902563,0.088368155,0.08920411,0.09269229,0.10120488,0.11811232,0.14531206,0.17998783,0.21541394,0.24345867,0.25880593,0.26028803,0.2503819,0.233452,0.213589,0.19385378,0.17532255,0.1583335,0.14269583,0.12875742,0.11692429,0.10769898,0.10118493,0.09691038,0.093732536,0.09030069,0.08601024,0.08195876,0.08034075,0.08299627,0.08912957,0.09575969,0.09898613,0.096833386,0.08951052,0.0792718,0.06899994,0.061920468,0.060783666,0.067231424,0.080681436,0.098617844,0.11672286,0.13081372,0.13728249,0.13563412,0.12732366,0.11612144,0.10456168,0.09486336,0.08771656,0.08431989,0.08446499,0.08692538,0.08867497,0.08708686,0.080770016,0.07075996,0.059668217,0.051090002,0.047977608,0.051759433,0.06132455,0.07359123,0.08486772,0.09280425,0.097007655,0.09819939,0.097072534,0.09410936,0.09077203,0.089985736,0.09547904,0.1089268,0.1280854,0.14657474,0.15761894,0.15777403,0.14871813,0.13471185,0.11937808,0.10452471,0.09134755,0.08143934,0.075985946,0.07447494,0.07467302,0.07353418,0.0688217,0.059768915,0.048016477,0.03694324,0.030964313,0.033720937,0.046984624,0.07015976,0.10004759,0.13186286,0.15941247,0.17764044,0.18356322,0.17803161,0.16416562,0.1461535,0.12799849,0.112965025,0.10323215,0.09846113,0.096344136,0.0934192,0.08743248,0.07790065,0.06617277,0.05432573,0.044393804,0.03794822,0.035919234,0.038563106,0.04494488,0.053101704,0.060512353,0.06525832,0.06634709,0.063726,0.05819204,0.051864997,0.048333216,0.05129156,0.0624384,0.07977634,0.099101126,0.11608082,0.12880093,0.1365603,0.13967736,0.13795091,0.1321721,0.123384774,0.113530666,0.10470284,0.09919026,0.098719604,0.102993526,0.10981667,0.11596549,0.11970503,0.12136686,0.12247446,0.12449948,0.12860282,0.13707161,0.152352,0.17557418,0.203907,0.23250215,0.25665998,0.274478,0.28556225,0.29064348,0.2913698,0.29140118,0.29450226,0.30244863,0.31320164,0.32326624,0.33033773,0.3354588,0.34255552,0.35518768,0.37448344,0.3968762,0.417992,0.4338647,0.44427034,0.44970027,0.45169985,0.45007238,0.44411454,0.43180433,0.41257235,0.38827705,0.36337474,0.34172487,0.3224418,0.30059004,0.27082857,0.23493315,0.20068902,0.17780578,0.16949366,0.17251392,0.17984764,0.18614309,0.18876696,0.18787849,0.18466525,0.18062975,0.17636035,0.17230894,0.16885106,0.16706686,0.16736186,0.16958398,0.17258888,0.17548656,0.17754586,0.1787042,0.17899227,0.17874284,0.1780529,0.17718011,0.17614044,0.17498721,0.17386015,0.17321663,0.17400633,0.17605156,0.17836404,0.1790377,0.17824371,0.17754097,0.17904218,0.18255699,0.1858596,0.18632232,0.18279439,0.17650318,0.1693015,0.16276002,0.15650529,0.1501353,0.14345586,0.13786924,0.13449492,0.13416465,0.13670996,0.14183037,0.14881383,0.15646285,0.16334905,0.16848038,0.17197494,0.17456083,0.1767813,0.17832129,0.17820084,0.17542766,0.1698032,0.16246867,0.1562023,0.15401633,0.15738235,0.16469674,0.17280138,0.17923796,0.18329723,0.18522131,0.1850438,0.18338068,0.18117361,0.17965786,0.17869668,0.17779537,0.17605193,0.17342794,0.16983135,0.16577947,0.16180243,0.15850143,0.15611933,0.15445538,0.15358128,0.15322243,0.15344806,0.15395325,0.15516491,0.15718447,0.15965678,0.16119486,0.16042179,0.15717053,0.1526435,0.14886642,0.14740573,0.14887036,0.1525516,0.15655494,0.1586626,0.15764537,0.15417273,0.15016548,0.14734012,0.14637847,0.14710288,0.14891224,0.15087368,0.15172024,0.15055169,0.14726482,0.1428772,0.13878399,0.13635069,0.13648082,0.13955869,0.14549437,0.15297347,0.15997942,0.1640502,0.16465327,0.16270868,0.16042946,0.15883599,0.15835516,0.15828212,0.15818064,0.156998,0.15444773,0.15045814,0.1462505,0.14294499,0.1416245,0.14205928,0.14325559,0.14364772,0.14258023,0.14065342,0.13967389,0.14113355,0.14535968,0.15120555,0.15740012,0.16319223,0.16867407,0.17317218,0.1753514,0.17359813,0.16845797,0.16238308,0.15841305,0.15739213,0.157622,0.15667492,0.15392801,0.15101404,0.14992309,0.15071733,0.15156709,0.15076633,0.1486639,0.14735074,0.14817104,0.15046369,0.15237261,0.15362085,0.15573472,0.16020493,0.16651246,0.17266138,0.17720085,0.17972456,0.1805911,0.18043417,0.18082516,0.1840037,0.19123745,0.2012529,0.21019965,0.2142263,0.21177788,0.20445414,0.19540982,0.18733124,0.18146539,0.17779197,0.17588574,0.17532392,0.1757667,0.176849,0.17814355,0.17945193,0.18076326,0.18213014,0.18353389,0.18517293,0.18780772,0.19218755,0.19827747,0.20442374,0.20830035,0.20816939,0.20437115,0.19912122,0.19489573,0.19313432,0.19325878,0.19457221,0.19660343,0.20032965,0.20620924,0.21384574,0.22111297,0.22534598,0.22473264,0.21949185,0.21234484,0.20654814,0.20457073,0.20611298,0.20975088,0.21288516,0.2141786,0.21252076,0.2087592,0.20376237,0.19885136,0.19407094,0.18951519,0.1854711,0.18278658,0.18167585,0.18101631,0.17916794,0.17541707,0.17123298,0.16879778,0.16906564,0.17021881,0.16970034,0.16677989,0.16379528,0.16401953,0.16873159,0.17667001,0.18498069,0.19178395,0.19599743,0.19810365,0.19863242,0.19867212,0.19825174,0.19677325,0.19306505,0.18698579,0.17977367,0.17316885,0.16856141,0.16633677,0.16644873,0.1676165,0.16722018,0.16198939,0.15054725,0.13520157,0.12065103,0.111083455,0.107311964,0.10757732,0.109004654,0.110009484,0.11001539,0.10972324,0.1095814,0.1098842,0.10992223,0.10909415,0.10711371,0.104593985,0.10250333,0.101563364,0.10198847,0.10333273,0.10525303,0.10771653,0.110865764,0.11419112,0.116189174,0.11588082,0.113919675,0.113081224,0.11542076,0.12096391,0.12686743,0.13073124,0.13131219,0.12995405,0.12761228,0.1256219,0.12398583,0.123668365,0.12465524,0.12721169,0.13065816,0.13477276,0.13956511,0.14458103,0.1491692,0.15170962,0.15223806,0.15131468,0.15118589,0.15248203,0.15514271,0.15724401,0.15780807,0.1560372,0.15264994,0.14827983,0.14411236,0.14064604,0.13786437,0.13537693,0.13285367,0.1308709,0.12994564,0.13073993,0.13298939,0.13598545,0.13837896,0.13869363,0.13652451,0.13332148,0.13201453,0.1346846,0.14007013,0.14526862,0.14770764,0.1490532,0.1517452,0.15772001,0.16442358,0.16896586,0.1694477,0.16797197,0.16758013,0.17060554,0.1767806,0.183623,0.19002874,0.19886994,0.22105801,0.266614,0.33937275,0.42544055,0.5047398,0.5559883,0.5739184,0.56210786,0.5314005,0.4855397,0.42552117,0.35270724,0.2773429,0.21290831,0.16878398,0.1443943,0.13328849,0.12899284,0.12836315,0.13072866,0.13609798,0.14424978,0.15437524,0.1650126,0.17447482,0.18149738,0.18607461,0.18909775,0.19173293,0.19450653,0.1971249,0.1989574,0.19940676,0.19869983,0.19725692,0.1957186,0.19407614,0.1925721,0.1915284,0.19169547,0.19318824,0.19558465,0.19825886,0.20158185,0.20723225,0.2166212,0.22893196,0.23985833,0.24451096,0.24049495,0.23018514,0.21824525,0.2086867,0.20276749,0.19976263,0.19851357,0.1983313,0.19898616,0.19998918,0.20034505,0.19872755,0.19437389,0.18758844,0.17990206,0.1731848,0.16894682,0.16745917,0.16796465,0.16900952,0.1693278,0.16821444,0.1656379,0.16203314,0.15780745,0.1531079,0.1476242,0.14118157,0.13397795,0.12669122,0.11973811,0.11305625,0.106192105,0.09899876,0.0917393,0.08489058,0.07875388,0.07336655,0.06874645,0.06475449,0.061371893,0.058255967,0.055399936,0.052886307,0.051771373,0.053081702,0.05741046,0.0635053,0.06913554,0.07213771,0.0722199,0.070988655,0.07089741,0.07330299,0.07734349,0.08085841,0.08211624,0.08123312,0.07927578,0.077462085,0.076467775,0.07697302,0.07898173,0.081638746,0.08334052,0.08345867,0.082729876,0.082742445,0.08418501,0.08669972,0.089262396,0.09120175,0.092466034,0.093643464,0.09597998,0.10035482,0.10667033,0.11290119,0.11656072,0.11601874,0.11200466,0.10685819,0.10315842,0.10227922,0.10413843,0.10785046,0.11233824,0.11683727,0.12074723,0.12405062,0.12684113,0.12933202,0.13109805,0.13167107,0.1327561,0.14042509,0.16630025,0.21962996,0.3008673,0.3957177,0.4856924,0.5547895,0.5956383,0.60212684,0.5698207,0.49947777,0.40535375,0.31209615,0.2422717,0.20296778,0.18355393,0.1679542,0.14691663,0.1228121,0.10198235,0.08834324,0.08085913,0.076839365,0.074332744,0.07277212,0.072234385,0.07247097,0.072664715,0.0719068,0.07007369,0.068224795,0.06761371,0.07010787,0.08016334,0.107561134,0.16326226,0.2500445,0.35556686,0.45745018,0.5370688,0.5866935,0.60613984,0.59370375,0.5461845,0.46587393,0.36601985,0.26755726,0.18861155,0.13733685,0.111265086,0.102402695,0.10312593,0.107503094,0.11292559,0.11733077,0.121060245,0.123374544,0.12513746,0.12569398,0.12639886,0.12703256,0.12838824,0.12915434,0.12934214,0.12888892,0.12948538,0.13214602,0.1367222,0.14186688,0.14593005,0.1489713,0.15118022,0.1535247,0.15537016,0.15672928,0.15664601,0.15539835,0.1535229,0.15430479,0.1617666,0.17736237,0.1955771,0.205837,0.20064248,0.18232162,0.16094457,0.14651237,0.14160703,0.14364095,0.14733987,0.15042567,0.15156959,0.15199529,0.15214448,0.15331876,0.15561648,0.1591726,0.16295703,0.16568445,0.16618125,0.16401362,0.15999454,0.15529937,0.15150483,0.14909899,0.14788555,0.1465671,0.14434564,0.14094359,0.1370546,0.13306753,0.12944464,0.12613003,0.12369162,0.12174291,0.12012863,0.11754883,0.11461737,0.1116846,0.110774286,0.11154324,0.11421055,0.11690873,0.11926133,0.119392216,0.11653947,0.10950068,0.099259794,0.087977104,0.078534186,0.07259648,0.069659285,0.06806732,0.06615313,0.06381989,0.06210873,0.062448602,0.06548586,0.07070791,0.07702329,0.0831769,0.08832268,0.09182318,0.09371867,0.09455392,0.094954975,0.09476908,0.093402535,0.09094876,0.08914476,0.090471685,0.09674033,0.10754674,0.12061479,0.13257553,0.14260095,0.15528546,0.18284367,0.23696564,0.31970593,0.4157417,0.5030853,0.56473535,0.5967439,0.5993324,0.5707504,0.51017326,0.42897692,0.35489902,0.31820166,0.33344376,0.38863266,0.45786944,0.5176999,0.55813044,0.57514185,0.56373173,0.51820827,0.442039,0.3527453,0.2740796,0.22283281,0.20030032,0.19765593,0.20433913,0.21425813,0.2236423,0.22988029,0.23165947,0.23144703,0.23414023,0.24305363,0.25578842,0.2646966,0.26222304,0.24652542,0.22283764,0.19945951,0.18298806,0.17562242,0.17614578,0.1812733,0.18766357,0.19212152,0.1929586,0.19008876,0.18570237,0.18264808,0.1828972,0.18637805,0.19169919,0.19965838,0.21493173,0.24646945,0.29859096,0.36765167,0.43986735,0.505002,0.55796856,0.5996738,0.6225988,0.6148941,0.5662135,0.48332694,0.38614032,0.2993192,0.23724924,0.20174931,0.18489628,0.17759784,0.17394076,0.17223285,0.17178519,0.17146432,0.16988389,0.16781415,0.167001,0.16866879,0.17188191,0.17564212,0.1792797,0.18215416,0.18238609,0.17919676,0.17453258,0.17239767,0.17474507,0.17996621,0.18488143,0.18761145,0.18801816,0.18635583,0.18356411,0.18157625,0.18252422,0.18668382,0.19296622,0.20135222,0.21279414,0.22626394,0.23633648,0.2372278,0.22788596,0.21330105,0.19980168,0.1905864,0.18558861,0.18317783,0.18193214,0.18056512,0.17892666,0.17796957,0.17898063,0.18184806,0.18547495,0.1887712,0.1917982,0.19419295,0.19536304,0.19471435,0.19363576,0.19422174,0.19780129,0.20355272,0.20944822,0.21373756,0.21545815,0.21463336,0.21182998,0.20811693,0.2043681,0.20092428,0.19777976,0.19477694,0.19199331,0.18921207,0.18649791,0.18389742,0.18187578,0.18029962,0.17884351,0.17702506,0.17494874,0.17260243,0.1698054,0.16652842,0.16379751,0.16305701,0.16474372,0.16782759,0.17077394,0.17297423,0.17434466,0.17504781,0.17505914,0.17472477,0.17405887,0.17261668,0.16994406,0.16657768,0.16401452,0.16303974,0.16360213,0.16443814,0.1649428,0.16396658,0.16159086,0.1583027,0.15633537,0.1566229,0.15844248,0.15951292,0.1590833,0.1582758,0.15856396,0.15979816,0.16081506,0.16078097,0.15977383,0.15788393,0.1556174,0.15417649,0.15530314,0.15912908,0.16388375,0.16753411,0.16978128,0.17172866,0.17366518,0.17519931,0.17600316,0.17712082,0.17880689,0.18036015,0.18044049,0.1805588,0.18615721,0.20684706,0.2514648,0.32160982,0.40713108,0.49031425,0.5555534,0.5945483,0.6037019,0.5791691,0.51984805,0.43480897,0.34526613,0.27516046,0.23597099,0.22141083,0.21437986,0.20261365,0.18486291,0.167973,0.15739651,0.15364908,0.15375836,0.1547519,0.15632276,0.15966953,0.16617543,0.17382292,0.17864637,0.17689383,0.16879265,0.15748464,0.1464433,0.1399634,0.14473377,0.17303236,0.23247285,0.32071477,0.419059,0.50868267,0.57589525,0.6173098,0.62643313,0.5954404,0.5206058,0.41434523,0.30199125,0.20953836,0.15030952,0.12171952,0.11265737,0.11233854,0.115396015,0.1205075,0.12750258,0.13549511,0.14258379,0.14730306,0.14892583,0.14851369,0.14743076,0.14709102,0.14782964,0.14943035,0.15143934,0.15344317,0.15560828,0.15815337,0.16099606,0.16325879,0.16363244,0.1620097,0.15896474,0.15633006,0.1550591,0.1566968,0.16179647,0.17101115,0.18343635,0.19826035,0.21410279,0.2289893,0.23916577,0.24070583,0.23261893,0.21790212,0.20215344,0.1895646,0.18204695,0.17895405,0.17886622,0.18023245,0.18220766,0.1848499,0.18797791,0.19123082,0.19360901,0.19495685,0.19512916,0.19412605,0.19193168,0.1890691,0.1869617,0.18602866,0.18621619,0.18607843,0.18549395,0.18445502,0.18398915,0.1844026,0.18585943,0.18814623,0.19063206,0.19309752,0.19510512,0.19701946,0.19812079,0.19767886,0.19482982,0.19044787,0.1863492,0.18358834,0.18203051,0.18047345,0.17896092,0.17690213,0.17350847,0.16682726,0.15716325,0.1463338,0.13711685,0.13016255,0.124958985,0.12060967,0.117444664,0.11596485,0.11627587,0.117509075,0.11844317,0.11819141,0.11669999,0.11509169,0.1148214,0.11706903,0.12144136,0.12685925,0.13141191,0.13393508,0.13321936,0.12961026,0.12395867,0.118092746,0.112697124,0.107732154,0.102640815,0.097902805,0.09503895,0.09555138,0.099567376,0.105559886,0.111760326,0.11754354,0.1232329,0.12890525,0.13358791,0.13620414,0.1367007,0.13617636,0.13623331,0.1376339,0.14031602,0.14338706,0.14618702,0.14825243,0.14929593,0.14911997,0.14792667,0.14627528,0.14430523,0.14120328,0.13575555,0.12741531,0.1170594,0.10660265,0.09814934,0.09321082,0.091908194,0.09314368,0.09456468,0.09499254,0.095848165,0.10242083,0.11863589,0.14223051,0.16247146,0.16855352,0.15780404,0.13837506,0.121165276,0.11214662,0.11016393,0.1109175,0.11049196,0.10692828,0.10001703,0.091534324,0.08388186,0.07893352,0.076598905,0.07601828,0.07656661,0.07885334,0.08645255,0.10746523,0.15505737,0.23641007,0.34475577,0.4548262,0.543101,0.59767437,0.6243709,0.62531406,0.5979914,0.5352883,0.4457313,0.34771624,0.26483458,0.20769276,0.1762991,0.16167754,0.15636708,0.15505962,0.15582518,0.15699124,0.15782852,0.15763237,0.1568824,0.15579104,0.15517013,0.15520982,0.15631855,0.15797023,0.15973023,0.16085951,0.16127312,0.16100079,0.16068713,0.16112207,0.16290562,0.16573022,0.16837849,0.16991939,0.17028672,0.17040078,0.17079736,0.17134315,0.17201574,0.17421381,0.18118745,0.19439222,0.2111948,0.22383322,0.22625442,0.21783419,0.20480114,0.19368277,0.18789057,0.18642099,0.18683366,0.18665363,0.18454064,0.18060225,0.17687017,0.17638732,0.18132277,0.19124477,0.2026787,0.21100305,0.21273597,0.20786338,0.19906382,0.1902474,0.18395405,0.18125606,0.18155359,0.18367793,0.18589579,0.18712486,0.18698579,0.18605405,0.1848032,0.18369596,0.18312061,0.1835739,0.18497932,0.1863132,0.18614723,0.18357676,0.17910977,0.17416121,0.1704471,0.16879131,0.16933565,0.17136844,0.17423207,0.1768536,0.17827797,0.17683484,0.17106354,0.15986685,0.14430952,0.12696506,0.11136252,0.099829994,0.0935468,0.09229293,0.09506237,0.10006681,0.105362765,0.109576024,0.11169029,0.1111933,0.10771633,0.10200429,0.095098354,0.08811105,0.08135397,0.07558441,0.07224817,0.07319608,0.07884032,0.08765427,0.09687167,0.104284585,0.10915697,0.11218488,0.114575334,0.117159456,0.12013784,0.12341263,0.12711692,0.13139258,0.13595074,0.13992189,0.1423678,0.1428616,0.14136826,0.13816607,0.13341995,0.12758975,0.12118972,0.11529953,0.1108799,0.10849083,0.1071754,0.10497964,0.09985072,0.09141684,0.081361115,0.07293096,0.06913964,0.0714336,0.079006396,0.08958387,0.10036228,0.10891137,0.11340911,0.1130361,0.10943025,0.10730731,0.113977015,0.13239895,0.15742372,0.17485256,0.17377305,0.1533375,0.12498953,0.10104779,0.08812005,0.08498783,0.08762338,0.09303943,0.09946138,0.10586414,0.11032412,0.112207554,0.11189624,0.11133052,0.111584306,0.11292357,0.11504358,0.117550574,0.119704545,0.11988496,0.11714506,0.11222824,0.10807442,0.107477754,0.11108912,0.11683437,0.121664844,0.123789996,0.123325765,0.121744014,0.12059578,0.12081862,0.12235835,0.12413324,0.12487788,0.12401143,0.12217248,0.12041527,0.11900418,0.11695608,0.11234889,0.103949785,0.092213176,0.079820804,0.07002285,0.064939715,0.064417005,0.06706629,0.071665905,0.078046076,0.08654205,0.09710463,0.108700335,0.11920965,0.12600131,0.1268182,0.121156074,0.11069488,0.09881553,0.08886988,0.08313956,0.08326182,0.09115843,0.10872569,0.1335683,0.15762204,0.16906844,0.16214357,0.14031774,0.11492307,0.095238395,0.08495545,0.0818195,0.082240246,0.08310214,0.0828852,0.08127082,0.07911802,0.077689715,0.078142494,0.08075506,0.08505913,0.089719884,0.0931254,0.0935468,0.09026956,0.08412241,0.07784452,0.07442271,0.07540227,0.07970973,0.084829815,0.08857276,0.09011147,0.08968163,0.0875757,0.084346384,0.0804556,0.07674339,0.07332451,0.07071721,0.06954499,0.07124222,0.07606121,0.082940556,0.089578845,0.09440738,0.0970654,0.09796574,0.097415976,0.09566786,0.09365333,0.09266276,0.093514234,0.09552172,0.097403586,0.098079264,0.09778947,0.097385,0.098231055,0.101170965,0.106248744,0.11229483,0.11735699,0.119859554,0.11888477,0.11487153,0.108763814,0.10193213,0.09471915,0.08672906,0.07768028,0.06906917,0.0636373,0.063393556,0.06780567,0.074339144,0.0802395,0.084134735,0.086274594,0.08801573,0.0909443,0.09599945,0.10299923,0.11063283,0.11719177,0.121204175,0.12221374,0.12090526,0.11898794,0.11813671,0.11888677,0.12012065,0.11979104,0.116670705,0.11142481,0.106460266,0.10405654,0.10480527,0.10754373,0.11071912,0.11384224,0.11697189,0.11980783,0.12100229,0.11985921,0.1176366,0.11746774,0.12183186,0.13060759,0.14151704,0.15201332,0.16124155,0.16995424,0.18058757,0.19473155,0.21130592,0.22465251,0.2288111,0.22191115,0.208561,0.1952355,0.18603231,0.18146802,0.18098386,0.18404096,0.1893033,0.19417977,0.19590557,0.19403686,0.19038647,0.1884258,0.18976498,0.19399971,0.19813882,0.20065957,0.20159493,0.20315982,0.2051801,0.20545556,0.20015663,0.18898594,0.17474206,0.16224116,0.15380381,0.14923842,0.14638208,0.14338435,0.13894962,0.13294592,0.12608115,0.12010822,0.11642388,0.11579576,0.11732787,0.11970643,0.12135445,0.12183705,0.12146777,0.12111088,0.121210866,0.12144935,0.1212458,0.12010565,0.11815488,0.11566063,0.11305546,0.11088053,0.1098068,0.110555045,0.11310655,0.1170221,0.12127844,0.12537305,0.12888265,0.13163447,0.13297887,0.13240898,0.12985113,0.12683015,0.12618768,0.13167323,0.14408167,0.15985923,0.17087829,0.17116839,0.16004398,0.14296857,0.12590308,0.11282855,0.10490426,0.10199528,0.102844305,0.10558886,0.108626604,0.11161846,0.11491146,0.118950464,0.1231155,0.12622292,0.12646611,0.122945376,0.11615693,0.108162634,0.101486586,0.09781047,0.09782276,0.10077458,0.105484284,0.11037189,0.114780284,0.11839042,0.12153197,0.12440582,0.1274544,0.13079345,0.13389657,0.13589905,0.13601655,0.13470127,0.13283652,0.13190208,0.13273908,0.13573311,0.13991953,0.143411,0.1443284,0.14205192,0.1379502,0.1341266,0.13234031,0.13275702,0.13447379,0.13609314,0.13653411,0.13526571,0.13263208,0.12946521,0.12720323,0.12651242,0.12781365,0.12994452,0.13175607,0.13144064,0.12870154,0.1239424,0.118730016,0.11386373,0.10949043,0.10520169,0.10092887,0.09714096,0.09421692,0.09271851,0.09273995,0.09454632,0.097720005,0.10207803,0.107282855,0.11329669,0.11956117,0.124990426,0.12828748,0.12864648,0.12671272,0.12401813,0.12267461,0.12321448,0.124942966,0.12573855,0.124772735,0.122250386,0.11962744,0.11736793,0.11546444,0.113447376,0.11161494,0.1103468,0.10998709,0.11050695,0.11173304,0.11349321,0.11541605,0.11740345,0.11953809,0.12214112,0.12515385,0.12803702,0.13024993,0.13107823,0.13010837,0.12780374,0.12730777,0.13328968,0.14710754,0.16325124,0.1712241,0.16495167,0.14703509,0.12697141,0.11204469,0.10405209,0.10020295,0.09798514,0.09682272,0.0978736,0.10202908,0.10896257,0.116916366,0.12417588,0.13002543,0.13508408,0.1398281,0.14362745,0.14483638,0.14263736,0.1384982,0.13574207,0.13722555,0.1430068,0.15050209,0.15628824,0.1585247,0.15706167,0.15296388,0.14706397,0.140257,0.13372166,0.12907778,0.12769346,0.12910727,0.13173611,0.13320632,0.13315488,0.13243794,0.13306737,0.13520978,0.13768943,0.13848841,0.1374995,0.1359979,0.13574688,0.13665652,0.13742487,0.1364991,0.133856,0.13069846,0.12843014,0.12761222,0.12775473,0.12847854,0.12982601,0.13266565,0.13730288,0.14318216,0.14846985,0.15145504,0.1520337,0.15265438,0.15778814,0.16997623,0.18705069,0.20102702,0.20443101,0.1953503,0.17945854,0.16422607,0.15358478,0.14693052,0.14184262,0.13765411,0.13467145,0.13369703,0.13417602,0.13544647,0.13669527,0.1376567,0.13803615,0.13752013,0.13602783,0.13392647,0.1321246,0.13143516,0.13228226,0.13460337,0.13816865,0.14256565,0.14700806,0.1505812,0.15303652,0.15532877,0.15878989,0.16337442,0.1672548,0.16799968,0.16518031,0.16012563,0.15512013,0.15093766,0.14772528,0.14531511,0.14437966,0.14507908,0.14630191,0.14548273,0.14041911,0.13100244,0.119830735,0.110185295,0.103882104,0.099857084,0.09599968,0.09088189,0.08508325,0.07977643,0.075796984,0.07296442,0.07085531,0.06908547,0.06755609,0.06626319,0.06525851,0.064538345,0.06404824,0.063769825,0.06381508,0.06434595,0.065443635,0.06689579,0.06824515,0.06883567,0.06827161,0.06673811,0.06512505,0.06457351,0.06575218,0.06852844,0.07196034,0.0749594,0.076776564,0.07752321,0.077931024,0.078846745,0.08046684,0.08232068,0.08369768,0.0845069,0.08518518,0.08635327,0.087965876,0.08957854,0.090612024,0.09103453,0.09119016,0.09166854,0.09279913,0.09449157,0.09630153,0.09793728,0.099647634,0.10178023,0.10403935,0.105121106,0.103957295,0.10067937,0.097007655,0.09451867,0.09400707,0.09490531,0.096595384,0.09830534,0.09960013,0.1000241,0.099436425,0.09824685,0.09703361,0.09667782,0.09713829,0.09822202,0.09922201,0.10070801,0.10352843,0.10859078,0.11495078,0.12068683,0.12384557,0.12418315,0.12286046,0.121521495,0.12139541,0.12329801,0.12915848,0.14471187,0.18171148,0.25440496,0.36754933,0.50623626,0.6375813,0.7311199,0.7746776,0.77694947,0.750346,0.70119923,0.6308078,0.54641885,0.46350107,0.3979462,0.35639963,0.33468518,0.32448888,0.3202672,0.3194356,0.32019934,0.31986344,0.3174881,0.31382456,0.30984166,0.30520126,0.29953638,0.29434833,0.291026,0.2894924,0.28740963,0.2838544,0.27910498,0.27635548,0.28184927,0.30874547,0.36943725,0.46433905,0.5719575,0.66111714,0.71071506,0.7205263,0.7012189,0.6599106,0.5995484,0.5270427,0.45678577,0.40162268,0.36485162,0.34092227,0.3235724,0.30960473,0.2989869,0.29170182,0.28817046,0.2874726,0.2879368,0.2870386,0.28415856,0.2802782,0.2766689,0.27363104,0.2713388,0.2707943,0.27208373,0.27357522,0.27250743,0.26822212,0.26179072,0.25433394,0.24522555,0.23403442,0.22207564,0.21160789,0.20342468,0.19607075,0.1877615,0.1783912,0.17186558,0.17688233,0.2053973,0.2638009,0.34507826,0.42670313,0.48377728,0.49983943,0.47424677,0.41506994,0.33779702,0.2632467,0.21901667,0.2308377,0.3058559,0.42476,0.5448679,0.63027114,0.6633074,0.6513967,0.6030792,0.5298595,0.44298932,0.36354455,0.30779898,0.2813677,0.2759963,0.27980933,0.28409743,0.28477204,0.2823393,0.27849326,0.27600312,0.27526906,0.27558777,0.27500615,0.2728762,0.27002215,0.267558,0.26604846,0.26482925,0.2641643,0.26365045,0.26268074,0.26135674,0.2664124,0.29327053,0.35725376,0.4593146,0.57600737,0.672878,0.7227042,0.72041374,0.67291045,0.59252274,0.49166477,0.3916243,0.3138469,0.27157316,0.258639,0.26005244,0.26246938,0.26204026,0.26017252,0.25856614,0.2582036,0.25867137,0.2597718,0.25986338,0.25863305,0.25576836,0.2524056,0.24923919,0.24762173,0.24870844,0.2518364,0.2543859,0.2518587,0.24438089,0.23677772,0.23756008,0.2475815,0.25857112,0.2570769,0.23824723,0.20870928,0.1811044,0.1625014,0.15197343,0.14567266,0.14330058,0.14723371,0.15680762,0.16562176,0.16617124,0.1565817,0.1417677,0.12826869,0.118854284,0.112347834,0.109600745,0.11755242,0.15042853,0.21591003,0.30976173,0.40943077,0.49675652,0.5616556,0.6100293,0.63997716,0.6440077,0.61019915,0.54347134,0.4626031,0.39136708,0.34205762,0.31463185,0.3024821,0.29919323,0.29972804,0.30038735,0.2995068,0.29765055,0.29565454,0.29340145,0.29041266,0.2873517,0.2853426,0.2844355,0.2835537,0.28190973,0.27984568,0.2777759,0.27662504,0.2808911,0.30077502,0.3482702,0.4248592,0.5171649,0.6004334,0.65859944,0.6872588,0.6927159,0.6746023,0.63055414,0.5613547,0.48178437,0.41122094,0.36273837,0.33471322,0.31781444,0.3041983,0.29324046,0.2869903,0.28514102,0.28406546,0.28086928,0.27633736,0.27272525,0.27120802,0.27082136,0.27114558,0.27237645,0.27477002,0.27660772,0.27591774,0.2713466,0.26391125,0.25545475,0.24837826,0.24371307,0.24102314,0.2381705,0.23343806,0.22660875,0.21886294,0.21064822,0.20136915,0.19238769,0.19083588,0.21043748,0.26164392,0.34228727,0.4310995,0.50162596,0.5332964,0.52238566,0.47361043,0.39924923,0.31602928,0.24940164,0.22585922,0.2609218,0.3471534,0.45493546,0.55054635,0.61338204,0.6418688,0.6390504,0.60477,0.5381926,0.4513254,0.36678758,0.30616996,0.27529076,0.26644135,0.26703262,0.26943254,0.2710468,0.272148,0.27308187,0.27356407,0.27327386,0.27163637,0.26956573,0.26739633,0.26599458,0.2644266,0.26278928,0.26059297,0.25862145,0.25692138,0.25615993,0.2589862,0.27391374,0.3154267,0.39481354,0.5081554,0.6308162,0.7301393,0.7815276,0.77907515,0.73035103,0.65114045,0.562204,0.4903827,0.4627703,0.49341956,0.5731983,0.6700813,0.74923307,0.78864735,0.78611535,0.74504405,0.66873807,0.5626732,0.445352,0.34328315,0.27686018,0.24799061,0.24481456,0.25309256,0.26474047,0.27633438,0.2859638,0.2911328,0.29119548,0.28883514,0.29164532,0.30644795,0.33448339,0.365683,0.3866872,0.38841847,0.37455833,0.3543435,0.33662263,0.3234037,0.3144903,0.30883577,0.30619046,0.3045036,0.301589,0.29703572,0.29328558,0.2931062,0.29662052,0.30080643,0.30358133,0.30910265,0.33044377,0.38324395,0.47200003,0.58234525,0.6852772,0.75892514,0.7965498,0.80568916,0.7878968,0.7395265,0.6575718,0.55493325,0.4541577,0.37622973,0.3280637,0.3048798,0.29653907,0.29543212,0.29688,0.2990748,0.30054042,0.30089375,0.30023488,0.29884434,0.29681408,0.29374385,0.29040623,0.28724492,0.28507948,0.28349268,0.28292438,0.28377935,0.2885708,0.30303505,0.33879068,0.40587106,0.5031615,0.6100054,0.69914716,0.7520158,0.7690937,0.7568786,0.7178084,0.6500603,0.561207,0.47100833,0.40041628,0.35657156,0.33088538,0.31056723,0.28937212,0.26980144,0.2563009,0.25040323,0.24965268,0.2507498,0.2515774,0.25178042,0.25144812,0.2507654,0.2500302,0.25049543,0.25303176,0.25666988,0.25836387,0.25544983,0.24833691,0.23958962,0.23150294,0.2239532,0.21622108,0.20837261,0.20154244,0.19624723,0.19223355,0.18901686,0.18721797,0.19027354,0.2062862,0.24597387,0.31300914,0.3965309,0.4713355,0.5145021,0.51449805,0.47632408,0.41043147,0.3328973,0.26258543,0.22389705,0.23762059,0.3100476,0.42663705,0.5549986,0.6637102,0.73032165,0.7478965,0.71309644,0.63247555,0.52224725,0.41277847,0.33078408,0.28742182,0.27446488,0.27582824,0.2799318,0.28206766,0.283079,0.28333667,0.28335586,0.28246704,0.28067604,0.2778104,0.27395102,0.27002037,0.2665577,0.26422855,0.2619671,0.26002252,0.2582011,0.25716007,0.25652945,0.25996196,0.277933,0.32563794,0.41053715,0.5204625,0.6267242,0.69957405,0.72374314,0.69769645,0.62930435,0.53289247,0.43230143,0.35264385,0.30790827,0.29337367,0.29324076,0.29452202,0.29244065,0.28927973,0.28703287,0.2870907,0.28813684,0.28931633,0.28904417,0.28762496,0.28531566,0.2833329,0.2825047,0.2842088,0.2891744,0.29583606,0.30070585,0.29963577,0.2935007,0.28777957,0.29032397,0.30148032,0.31290993,0.31218562,0.29503584,0.26835486,0.24412906,0.22911732,0.2216366,0.21764082,0.21609747,0.21912862,0.22522902,0.22778791,0.21968998,0.20126593,0.18014081,0.1645553,0.15624154,0.15093376,0.14614572,0.14877187,0.17741634,0.2496833,0.36701664,0.5050836,0.6283898,0.7121969,0.7536804,0.763324,0.7464273,0.7021098,0.6287177,0.53701186,0.44490018,0.37094474,0.32340485,0.30038235,0.29375723,0.29532257,0.29989395,0.3043224,0.3064175,0.30510023,0.3009349,0.2960719,0.29142976,0.2875314,0.28419462,0.28255367,0.28246534,0.28290737,0.2823894,0.2821004,0.28758863,0.30871478,0.35751984,0.43916664,0.5453355,0.6518033,0.73424345,0.7793946,0.78967476,0.7688384,0.71732754,0.63704133,0.542398,0.4571791,0.39811704,0.36468342,0.34263703,0.32084104,0.29801103,0.2799585,0.26973215,0.26556697,0.26390243,0.26268908,0.26133385,0.25932422,0.25646532,0.25343144,0.25095898,0.24974225,0.2495833,0.25055063,0.25112906,0.24939291,0.24338587,0.2340142,0.22393394,0.21555252,0.20917709,0.20377265,0.19896561,0.19486497,0.19161499,0.18871272,0.18765236,0.19386585,0.21784683,0.26820162,0.3433292,0.42532182,0.4891458,0.51584214,0.5017949,0.45410028,0.38406518,0.30641156,0.24264814,0.21996202,0.258778,0.35771275,0.48855498,0.61026835,0.69342965,0.73020357,0.72620183,0.6842393,0.60661036,0.50593024,0.4083972,0.3384938,0.30319867,0.2922857,0.29163596,0.29288867,0.29452696,0.2958579,0.29691443,0.29633808,0.2944868,0.29064822,0.2854704,0.27926978,0.2738984,0.2711158,0.27153108,0.27401748,0.27627635,0.2778875,0.27936092,0.28493318,0.30268857,0.34727457,0.42802882,0.5386073,0.65117407,0.73604554,0.7795388,0.78940487,0.7758091,0.73797053,0.6683399,0.5695832,0.46195757,0.37088072,0.31151864,0.2812271,0.26889336,0.26362312,0.26089534,0.25954533,0.2596748,0.26028585,0.25981864,0.2569627,0.2513984,0.24394333,0.23594157,0.22913276,0.22500323,0.22373612,0.22354196,0.2213312,0.21605541,0.21125056,0.21606952,0.23895682,0.28082898,0.3301367,0.37065753,0.3912077,0.3929498,0.38426915,0.37374595,0.3649861,0.35791025,0.3511668,0.34380913,0.3358363,0.32811162,0.32262948,0.32137978,0.3250012,0.3313384,0.33644834,0.33840194,0.34174642,0.3589803,0.40499973,0.48465165,0.58553904,0.6800142,0.74518037,0.77191037,0.76740056,0.7364803,0.6802617,0.5982892,0.50244707,0.41203758,0.34499454,0.30625328,0.29041696,0.28743052,0.2903113,0.29443613,0.2979752,0.2992936,0.29892173,0.29752997,0.29587376,0.29349193,0.29006478,0.2864085,0.2835269,0.28219283,0.28185412,0.28212047,0.28245905,0.2848049,0.29587582,0.32950854,0.39722916,0.49669755,0.6037716,0.68905634,0.7357647,0.7490329,0.73825485,0.7045398,0.64215535,0.556796,0.47001886,0.40596065,0.37195742,0.3554745,0.33852705,0.31261945,0.28250393,0.2573857,0.24286616,0.2378673,0.23754947,0.23728055,0.23540497,0.23336172,0.23378426,0.2380311,0.2460645,0.2562486,0.26611245,0.27166095,0.2697424,0.2596914,0.24471575,0.22903518,0.21586488,0.2058615,0.1987487,0.19334829,0.18874145,0.1840743,0.18003555,0.1786108,0.18468904,0.20648827,0.2535488,0.32679534,0.41234183,0.48351964,0.5190074,0.51126194,0.4689943,0.40386868,0.33072543,0.26654622,0.23440002,0.25417656,0.33031732,0.44626036,0.5684077,0.6672589,0.7242548,0.7369483,0.70444876,0.6324036,0.5330085,0.43135807,0.35114112,0.30406013,0.28466126,0.27921847,0.27700266,0.27405453,0.27248743,0.27333102,0.27594307,0.27704954,0.2756114,0.2718419,0.2675108,0.2633245,0.25979817,0.2570268,0.25507367,0.25399315,0.25301576,0.25180915,0.25251105,0.26448485,0.30306327,0.3796365,0.4888736,0.6057654,0.70056325,0.75454825,0.764504,0.7317913,0.6592204,0.55595857,0.44611976,0.35696658,0.3047762,0.28420913,0.2803459,0.2799829,0.27887794,0.2772025,0.27594438,0.27573657,0.2765523,0.2778575,0.2781433,0.27719617,0.27518478,0.27292752,0.27031103,0.26877746,0.27027848,0.2754968,0.28121105,0.28237948,0.2782036,0.27457258,0.2796832,0.2943076,0.30863222,0.3103321,0.2956761,0.27284303,0.25278568,0.24055882,0.23385334,0.22935939,0.22738327,0.22937478,0.23395479,0.23441368,0.22557636,0.20753598,0.18747492,0.17151125,0.16133282,0.1539141,0.15057696,0.16212219,0.20943598,0.30589485,0.44388285,0.58681303,0.69659716,0.7528858,0.76697636,0.75466067,0.7237626,0.66795135,0.58833855,0.4974377,0.4150664,0.35349128,0.3147235,0.29439494,0.2865835,0.2861291,0.28806624,0.28930926,0.28834906,0.2855326,0.28227922,0.28000477,0.27987114,0.28095794,0.28235242,0.2829968,0.28390777,0.2855632,0.28788128,0.29071608,0.29833007,0.32188353,0.3744568,0.4593865,0.56193966,0.6545725,0.71607256,0.7416658,0.7405754,0.71754986,0.6711469,0.5999076,0.51698786,0.4433607,0.39491808,0.36914238,0.35198963,0.3304896,0.30336198,0.27735716,0.25933573,0.2506599,0.24832524,0.24888913,0.24963367,0.24945962,0.24773037,0.2455464,0.24378671,0.24289061,0.24159755,0.23893143,0.23468728,0.22931208,0.22287035,0.21506836,0.20678318,0.19966044,0.1952672,0.19315474,0.19193228,0.19030905,0.18783648,0.18455225,0.18285255,0.19056694,0.2213376,0.28400922,0.37177518,0.4577693,0.51296085,0.52131015,0.48790976,0.42595372,0.35014358,0.2757096,0.22431786,0.22163598,0.28194615,0.39631876,0.5287409,0.6396217,0.70402557,0.72213984,0.7011419,0.6464984,0.56158835,0.46201646,0.3714565,0.31057188,0.2816534,0.27459207,0.27547896,0.27758765,0.27882394,0.27967414,0.27989212,0.27847254,0.27513435,0.26993835,0.26530597,0.26237342,0.2622223,0.2631894,0.26486698,0.26648143,0.26899675,0.2726324,0.2787747,0.29035914,0.31372538,0.35686687,0.42325115,0.50835246,0.59812003,0.6776721,0.7327052,0.75432926,0.73621273,0.68130463,0.60387665,0.53061074,0.49244902,0.508909,0.57716113,0.6688878,0.7492301,0.79155535,0.7872672,0.7358183,0.6435321,0.5245562,0.4057212,0.3143494,0.26409754,0.24766558,0.2480154,0.25154004,0.25517753,0.26063597,0.26916924,0.27733132,0.28214842,0.28370413,0.2892854,0.3053945,0.33279744,0.36095846,0.37854633,0.37983036,0.3700244,0.3563882,0.34434223,0.3347268,0.32786405,0.3238219,0.32230088,0.32214043,0.32217836,0.3225927,0.32406795,0.3273001,0.3312218,0.33413717,0.33551574,0.34035745,0.36038926,0.40920615,0.4903165,0.5896753,0.68050796,0.7422258,0.7694742,0.7694891,0.7444136,0.69213253,0.61216456,0.5192587,0.4339613,0.37267372,0.3362982,0.3171581,0.3061092,0.2995713,0.29685768,0.29688647,0.29654834,0.29339445,0.28826746,0.2838104,0.28171214,0.2809275,0.28008768,0.27873853,0.27754363,0.27709016,0.27768815,0.27990392,0.28514948,0.29811522,0.32837212,0.38562432,0.47052345,0.56674075,0.6505912,0.70437986,0.7265084,0.72072107,0.68782973,0.6260161,0.54391736,0.46263826,0.40329444,0.3712,0.35455883,0.33798894,0.31490508,0.28902802,0.26701024,0.2527056,0.24605934,0.24453662,0.24472988,0.24430525,0.24340914,0.24403264,0.24742173,0.25285947,0.2582457,0.26146635,0.26080218,0.25543094,0.2464941,0.23677103,0.2290876,0.22406144,0.22080444,0.21832801,0.21658291,0.21555877,0.21458495,0.2131585,0.21251227,0.21794488,0.23860441,0.28317812,0.35040125,0.42497298,0.4830154,0.50746924,0.49405584,0.45004585,0.3850623,0.31292203,0.25299862,0.23091273,0.26699373,0.36180964,0.49158004,0.6168771,0.7081413,0.752295,0.7521808,0.7074309,0.62223274,0.50994855,0.40047643,0.32045698,0.28030443,0.27000383,0.2732228,0.27778518,0.28010908,0.2813119,0.28288367,0.28447685,0.28423095,0.28191796,0.27811322,0.27463546,0.2711196,0.2678474,0.26423478,0.26165545,0.2600335,0.25927213,0.2575041,0.2567685,0.26545998,0.30033955,0.37434497,0.48478985,0.6068316,0.7078118,0.7649646,0.7732455,0.7378643,0.6637506,0.5586317,0.4380584,0.3269502,0.24474691,0.19584434,0.16800223,0.14735222,0.1270311,0.11002219,0.099963196,0.097403236,0.098608054,0.09990826,0.0996783,0.09879014,0.09909412,0.101834424,0.10777495,0.11786508,0.13322942,0.15183248,0.16763514,0.17369469,0.17072089,0.16882187,0.17989755,0.2047069,0.22927518,0.23658685,0.22096021,0.19307353,0.16776536,0.15244275,0.14396752,0.13830674,0.13688648,0.14361708,0.15740778,0.1691448,0.17038815,0.15969099,0.14479463,0.13386428,0.13039663,0.13156213,0.13582915,0.14984034,0.19215226,0.27959946,0.4119675,0.56056696,0.6874137,0.76641244,0.79755855,0.7915198,0.7554963,0.6900354,0.6011712,0.50482124,0.42020285,0.35816488,0.31905565,0.29716572,0.2866892,0.2838303,0.28577188,0.29021528,0.29401425,0.29468334,0.2914262,0.2863476,0.28257146,0.28128445,0.28125355,0.28043798,0.27860856,0.27662897,0.2750034,0.2739214,0.2767779,0.29318663,0.33716857,0.4154159,0.51972586,0.6243028,0.7056603,0.749954,0.7599638,0.73606986,0.67992777,0.59527147,0.5027524,0.42627156,0.3808432,0.35911706,0.34419218,0.322989,0.2964714,0.27220806,0.25614968,0.24817175,0.24554837,0.24625582,0.24897063,0.25214586,0.25407067,0.2548035,0.25559863,0.2576363,0.2602462,0.26193094,0.26114035,0.2571905,0.25005367,0.24085097,0.23173635,0.2246802,0.2201807,0.21689856,0.21366525,0.21005799,0.2063794,0.2020996,0.19940306,0.20604198,0.23679323,0.30036476,0.3893319,0.47531202,0.52883035,0.5339795,0.4965042,0.43065193,0.35223112,0.27713293,0.22664106,0.22542822,0.2888684,0.40942302,0.5538426,0.6804953,0.7613433,0.78861934,0.76508284,0.69433427,0.58660805,0.4661943,0.36419526,0.30141625,0.2760128,0.2727683,0.27502993,0.2758501,0.27423614,0.2725185,0.2713966,0.2700831,0.26722407,0.26243177,0.25800073,0.25561514,0.25623786,0.2578024,0.2593839,0.2598602,0.25985065,0.25874373,0.25779164,0.26165998,0.2821529,0.33361158,0.42189848,0.5358384,0.6490423,0.7367951,0.78434616,0.7899837,0.755626,0.68936235,0.60728693,0.5353748,0.5015034,0.5201945,0.5865683,0.67364305,0.7511048,0.7923119,0.7859871,0.7282075,0.6282568,0.50582474,0.3911905,0.3087443,0.26637676,0.25344953,0.2534584,0.2551364,0.25549743,0.25516453,0.25398025,0.24998565,0.24263625,0.23535842,0.23762892,0.25756645,0.29570976,0.33887878,0.3711584,0.38288915,0.37856612,0.36766878,0.35812533,0.35143676,0.34703985,0.3440814,0.34212032,0.34021088,0.3377054,0.33544478,0.33482018,0.33629265,0.3379859,0.33745363,0.33311602,0.32474014,0.3114001,0.29132512,0.26387644,0.23274565,0.20485407,0.18649672,0.17907596,0.17979872,0.18463795,0.19137377,0.1995006,0.20894979,0.21905486,0.22876312,0.23736118,0.2445395,0.25022042,0.25397456,0.25562176,0.2550596,0.2527958,0.24916442,0.24504316,0.24112904,0.23817374,0.23610312,0.23545778,0.2369957,0.24150674,0.24724837,0.25160733,0.25286987,0.2525141,0.25254512,0.25311944,0.2527503,0.25094566,0.2495966,0.2502899,0.25239217,0.25328615,0.25126377,0.24659656,0.24078114,0.2353489,0.23133111,0.22934799,0.22912581,0.22970776,0.22981624,0.22883399,0.22719617,0.22616042,0.22695489,0.2294258,0.23208535,0.23279135,0.23069082,0.22652362,0.22270222,0.22203803,0.22632784,0.23456192,0.24248745,0.24535273,0.24119006,0.23232679,0.2225362,0.2142043,0.20772116,0.20305799,0.20065875,0.20047636,0.20196871,0.20442468,0.20768613,0.21112533,0.21357788,0.21453339,0.21505626,0.21709578,0.22100468,0.22556794,0.22884081,0.23008358,0.22934769,0.22721879,0.22446166,0.22157378,0.21881425,0.21537228,0.21067943,0.20345837,0.19265407,0.1765253,0.15504877,0.13009186,0.10576049,0.085846044,0.072488844,0.06542591,0.06296651,0.06303099,0.06426889,0.06620297,0.068983234,0.072181724,0.07468575,0.074969165,0.07254038,0.068246424,0.06382025,0.060623992,0.058876622,0.057992358,0.057272628,0.05674851,0.057085823,0.059132498,0.063178174,0.06861893,0.074354194,0.079508096,0.08410577,0.08890792,0.094731234,0.1016972,0.10900048,0.115303,0.11946059,0.12116621,0.12105864,0.119868405,0.11728323,0.111444004,0.10042015,0.084238075,0.06591984,0.049751323,0.03878884,0.03329994,0.03154781,0.03136747,0.03135779,0.031097865,0.030777296,0.030848255,0.031604264,0.033114802,0.03519244,0.037649587,0.040310726,0.042915657,0.044971105,0.04580209,0.044943348,0.04250099,0.039392557,0.036958802,0.036270212,0.037456505,0.039656416,0.041641444,0.042383254,0.041492917,0.039090913,0.035936806,0.033233646,0.032436337,0.034567907,0.039580718,0.0462388,0.052705344,0.057871867,0.062039096,0.06664569,0.07261091,0.07895038,0.08248811,0.07969844,0.069227524,0.05351044,0.037480105,0.025704518,0.019959142,0.019306729,0.021590851,0.024907483,0.028109292,0.030792749,0.033107188,0.035483275,0.038253035,0.04161447,0.04547142,0.049563657,0.053180683,0.05579001,0.057334077,0.058358714,0.05886108,0.05767207,0.053293537,0.045666452,0.037026662,0.030441625,0.027929375,0.02946952,0.033854824,0.039689835,0.046021815,0.052318692,0.05838264,0.06414368,0.06932843,0.073188454,0.07476285,0.07346988,0.069758885,0.0649327,0.0607323,0.058487516,0.058686208,0.060531247,0.06230815,0.062332902,0.05999739,0.05606787,0.051893223,0.048724353,0.04718851,0.04741392,0.04892607,0.050943848,0.05264911,0.0534776,0.053084448,0.051232133,0.048046485,0.044182044,0.04086921,0.039271634,0.039994683,0.04265681,0.046095386,0.04875235,0.04946233,0.048070762,0.045575336,0.04337707,0.042359978,0.04248869,0.043305892,0.044374034,0.04538977,0.045850888,0.045260385,0.04351926,0.04132277,0.03988299,0.04028663,0.042953108,0.04752172,0.053260267,0.05951205,0.06572554,0.07105413,0.073947616,0.07257321,0.06603783,0.055372432,0.04350643,0.03356966,0.027368777,0.02471436,0.02440206,0.025298253,0.026731474,0.028335007,0.030001303,0.032016005,0.03493856,0.03882431,0.04310471,0.046781767,0.049491096,0.051655497,0.054337833,0.05811742,0.06231065,0.06481396,0.06345812,0.057782788,0.049687818,0.0422015,0.037294805,0.035083223,0.034423336,0.03458106,0.0357071,0.03852653,0.04334018,0.049610596,0.056287717,0.062215414,0.06673909,0.06966019,0.07156122,0.07344019,0.076431744,0.08079561,0.085372336,0.087538384,0.084525295,0.075209655,0.06135754,0.046877805,0.035670392,0.029545546,0.027897224,0.02877471,0.030325636,0.031517193,0.032166563,0.03266512,0.033680443,0.036237378,0.041353866,0.049603343,0.060138535,0.07141668,0.082290195,0.093122326,0.10437285,0.11526231,0.12377179,0.12863827,0.13056654,0.13150848,0.13332336,0.13687737,0.14217092,0.14813912,0.1531272,0.15560476,0.155526,0.15432507,0.15402876,0.15561277,0.15868783,0.16196536,0.16435333,0.16553207,0.16607992,0.1670688,0.16892701,0.17098089,0.17165887,0.16991127,0.165455,0.15870686,0.15008865,0.14041913,0.13091427,0.12317347,0.11846631,0.11734853,0.11955718,0.124334015,0.13083182,0.13788062,0.14388822,0.14702927,0.1466334,0.1436014,0.13986321,0.13655148,0.13370669,0.13083588,0.12792659,0.12521072,0.12268164,0.12038826,0.11848923,0.11751551,0.11713725,0.11700544,0.11673852,0.117117696,0.118652314,0.121349774,0.12424485,0.12657857,0.12830818,0.13003592,0.13256007,0.13613194,0.1404999,0.14469294,0.14779018,0.1492479,0.14939694,0.14899355,0.14839502,0.14747776,0.14551084,0.14236318,0.1378596,0.13255796,0.12683964,0.12172776,0.11774375,0.11521804,0.11393293,0.113904946,0.115165494,0.11771083,0.12162056,0.12692021,0.13327286,0.13912119,0.14273275,0.14309372,0.14059347,0.13591747,0.12970848,0.12308237,0.117735416,0.115156256,0.11507785,0.116364904,0.11782336,0.11962021,0.12204012,0.12546594,0.1294749,0.13347508,0.13629434,0.13718475,0.13631932,0.13516031,0.1350873,0.13629882,0.13761026,0.13762265,0.13557301,0.131375,0.12538405,0.11843765,0.11221858,0.10856143,0.10850436,0.111275166,0.115070194,0.117899425,0.118926786,0.11833936,0.11749005,0.117765844,0.12011066,0.124226354,0.12904061,0.13324352,0.13580103,0.13642971,0.13537633,0.13352323,0.13145773,0.1292869,0.12657033,0.12287835,0.11873717,0.11525131,0.11420984,0.11613222,0.1206364,0.1257144,0.13010491,0.13306092,0.13535173,0.1371734,0.13855071,0.13870801,0.13773753,0.13608684,0.13456248,0.13321507,0.13173275,0.12976192,0.12744206,0.12533768,0.12406059,0.12375624,0.1239003,0.1238822,0.12382105,0.12449377,0.1263808,0.12901855,0.1315468,0.13342138,0.13453536,0.13479228,0.13450937,0.13457645,0.13630463,0.1402322,0.14590275,0.15222758,0.15815963,0.16294782,0.16598757,0.16701733,0.1660829,0.16370867,0.16076149,0.15792984,0.15546142,0.15310682,0.15130109,0.15104438,0.1533428,0.15776284,0.16285211,0.16684695,0.16849153,0.16722368,0.16352962,0.15899628,0.15492952,0.1514021,0.14743136,0.14325808,0.14044839,0.14062063,0.14302641,0.14560191,0.14660954,0.14645654,0.14599359,0.14567387,0.14450331,0.1421056,0.13861823,0.13553329,0.13372947,0.13394374,0.1356626,0.1385806,0.14211218,0.14645681,0.15121327,0.15572293,0.15870357,0.15988392,0.15992714,0.15976329,0.15924878,0.1571997,0.1530637,0.14755566,0.14267279,0.13958348,0.13871475,0.13913916,0.14026932,0.14134227,0.1427653,0.14501607,0.14872462,0.15320013,0.1573816,0.16058363,0.16332902,0.16637038,0.16980825,0.17315976,0.17594968,0.17793494,0.17851074,0.17703271,0.17345363,0.16918312,0.16601315,0.16501366,0.16529001,0.16503483,0.16270612,0.1585898,0.1544187,0.15194489,0.15163028,0.15232635,0.15318914,0.15402822,0.15570341,0.1579929,0.16019633,0.1611554,0.16109037,0.16070883,0.16089481,0.16136259,0.1613729,0.16030216,0.15859048,0.15737498,0.15734415,0.1582988,0.1591462,0.15962982,0.16010533,0.16161728,0.16403626,0.16660951,0.1682148,0.16880189,0.16912413,0.1700602,0.17202343,0.17480515,0.178406,0.1827489,0.18736655,0.1899634,0.18657161,0.17323919,0.14931653,0.11898539,0.08942157,0.06661563,0.05269419,0.04612731,0.044139396,0.044291884,0.045285,0.046578556,0.048200805,0.050172474,0.052254036,0.0539405,0.054817587,0.054914188,0.05461433,0.054377686,0.054402154,0.054656368,0.055041716,0.055597946,0.056475297,0.05780724,0.059574816,0.06159094,0.063557,0.065094374,0.065822475,0.06549522,0.064249516,0.06265315,0.061462287,0.06114383,0.061639264,0.0625347,0.06346119,0.064260654,0.06488254,0.06524014,0.06528029,0.06507302,0.06474573,0.064317435,0.063694976,0.06288036,0.062097687,0.061666455,0.06170189,0.061993986,0.062148858,0.061839998,0.060953934,0.059600372,0.05809531,0.05688088,0.05637973,0.056781854,0.05794391,0.05940552,0.06053643,0.06073423,0.05964149,0.05730146,0.054101784,0.05073308,0.0479887,0.046750486,0.047548335,0.05033565,0.054241702,0.05815083,0.06130658,0.06394508,0.06709568,0.07223315,0.079960905,0.08941396,0.097917974,0.10353697,0.10627585,0.10859359,0.11194397,0.116270445,0.1200229,0.12296915,0.12461617,0.12349015,0.11602358,0.100486875,0.079242714,0.059741307,0.050135568]