[0.10351768,0.113034785,0.12980418,0.1417862,0.14018418,0.12538622,0.106303245,0.095851,0.10275498,0.12643087,0.15663117,0.18080173,0.1907578,0.18649577,0.17261016,0.15424885,0.13317175,0.10977099,0.08626839,0.06890269,0.06491525,0.0766026,0.09937932,0.1234267,0.14084542,0.14817984,0.1478796,0.14395188,0.14034681,0.13806628,0.13560335,0.12933232,0.11720335,0.10164409,0.09025627,0.09169557,0.11034236,0.14281496,0.17946036,0.2089982,0.22423817,0.22451787,0.21439974,0.1996711,0.18415116,0.16950147,0.1565823,0.14717275,0.14304353,0.14450051,0.14902832,0.15231425,0.1505024,0.1420812,0.12873834,0.11430815,0.1033415,0.09880546,0.1011337,0.10801011,0.11608317,0.12231394,0.12532195,0.12547033,0.124564946,0.124759085,0.12709258,0.1308884,0.13414814,0.13502966,0.13278054,0.12792164,0.12194132,0.11639439,0.11226616,0.10920063,0.10628801,0.10304812,0.10031757,0.099401146,0.10067714,0.10294295,0.104229115,0.10351632,0.101641424,0.10080329,0.10286895,0.1078282,0.11369025,0.11771967,0.11812392,0.11510212,0.110341154,0.10614538,0.103780724,0.10410433,0.10768863,0.11616605,0.12957674,0.14584641,0.15979142,0.1678163,0.16899395,0.16590084,0.16055644,0.15370859,0.14482653,0.13401537,0.12229809,0.1110894,0.10209536,0.097857475,0.10136264,0.11405745,0.1329843,0.15190579,0.16446786,0.1683101,0.16460468,0.15629406,0.14604889,0.13619828,0.12858881,0.12411731,0.122695036,0.12392712,0.12803185,0.13488914,0.14312893,0.14943361,0.15150756,0.14945762,0.14670727,0.14631112,0.14963187,0.1551979,0.16054384,0.16260146,0.15890579,0.14920694,0.13651414,0.12640688,0.12311248,0.12768744,0.1371303,0.14743179,0.15461068,0.15716301,0.15531333,0.15138316,0.1473302,0.1444939,0.14253871,0.14065985,0.13756885,0.13281038,0.12706162,0.12285004,0.12287152,0.12817913,0.13654554,0.14402981,0.14759512,0.14691436,0.1432225,0.13736062,0.1295185,0.12101737,0.114989005,0.11421143,0.11785045,0.1215728,0.12101722,0.115986966,0.110549174,0.11064768,0.1193439,0.13509214,0.1513301,0.1615168,0.16260308,0.15761508,0.15203597,0.15069245,0.15498273,0.1632788,0.1717424,0.17623578,0.17474884,0.16860698,0.16103043,0.15434314,0.14815271,0.14130656,0.13339649,0.12685709,0.12453312,0.12851949,0.1374138,0.1470616,0.15233488,0.14986409,0.14098187,0.13029708,0.12389463,0.12399801,0.128961,0.1342503,0.13671352,0.13558829,0.13184959,0.12677999,0.121180244,0.115598805,0.10997027,0.103719056,0.096815385,0.090313576,0.086516045,0.08634316,0.089165874,0.0933196,0.0990502,0.10863751,0.12331659,0.14080466,0.15460305,0.16000319,0.15647626,0.14906414,0.14319588,0.14272639,0.14828195,0.15812571,0.16878933,0.17662422,0.1797872,0.17865683,0.17462741,0.16867195,0.16139174,0.15356247,0.14599377,0.1385314,0.13128664,0.12584622,0.12569058,0.13234748,0.14332418,0.15300064,0.15700279,0.1546582,0.14812946,0.1405586,0.13425106,0.13035698,0.12828057,0.12631017,0.12349978,0.120582454,0.12022083,0.12355729,0.12974113,0.13502121,0.13631272,0.13206632,0.12407818,0.11586017,0.110945016,0.11028109,0.11154453,0.11087451,0.105518006,0.09580213,0.08432019,0.07410719,0.06661041,0.061774224,0.058959637,0.05843239,0.06109953,0.06758758,0.07685612,0.08648994,0.09396049,0.09805327,0.09934462,0.0993507,0.09958067,0.10053709,0.10178983,0.10249257,0.101967394,0.09997535,0.096468925,0.09184736,0.086915396,0.08260206,0.079162,0.07578489,0.07141015,0.065731,0.05980502,0.05507441,0.05223058,0.05082841,0.050297257,0.05121976,0.05503334,0.06259646,0.072567664,0.081933744,0.08779416,0.08915511,0.08746153,0.085265376,0.084953964,0.086908914,0.09016987,0.092875324,0.094120085,0.09356073,0.09164032,0.08883264,0.085900374,0.083274856,0.08112743,0.07959824,0.08004882,0.08423362,0.092674226,0.10164548,0.10551592,0.10042044,0.08962723,0.08075122,0.08119162,0.09159114,0.1071853,0.120641135,0.12786472,0.12870134,0.1275017,0.12885083,0.13548313,0.14493676,0.15266179,0.15485954,0.15246731,0.14901209,0.14746481,0.1472264,0.14500704,0.13793848,0.12598333,0.112962,0.10436637,0.104669295,0.11414657,0.12866871,0.14199422,0.149705,0.15147138,0.15035462,0.14980179,0.15127528,0.1534453,0.15391959,0.15071845,0.14375663,0.13441627,0.12509705,0.117663085,0.1128177,0.10980639,0.107613675,0.10552893,0.103442974,0.10118591,0.0985522,0.09522479,0.09091833,0.08528355,0.07830564,0.07094761,0.06503478,0.062223684,0.062435824,0.06404135,0.06517222,0.06566662,0.066869505,0.070335686,0.07597068,0.08206967,0.08655869,0.088687055,0.089378834,0.09027714,0.092401765,0.09551676,0.09860146,0.100667894,0.10135022,0.10077178,0.09926214,0.09708566,0.09452239,0.091768056,0.08882958,0.08539764,0.08115024,0.076211244,0.07132131,0.06742472,0.06489303,0.0632922,0.061926544,0.060896266,0.06143039,0.06499407,0.071795575,0.080065705,0.087115586,0.09104303,0.09193001,0.09130827,0.09084187,0.091149576,0.091664605,0.09144408,0.08992488,0.08729503,0.084133394,0.08106893,0.0784677,0.0762619,0.07400595,0.07110113,0.067442976,0.06365483,0.060922608,0.060027283,0.060740247,0.06211476,0.06377005,0.06706064,0.07453168,0.08796469,0.10601524,0.1242976,0.13770558,0.14375274,0.14360172,0.14062887,0.13790588,0.13696182,0.13793598,0.1400863,0.14216697,0.14323485,0.14390515,0.1465588,0.1532752,0.16334009,0.17293595,0.17812459,0.17742556,0.17213659,0.1638103,0.1531115,0.13991614,0.12577938,0.11422202,0.11058683,0.117704175,0.13426149,0.15347403,0.16881074,0.17840295,0.18952012,0.21533436,0.26650414,0.33984435,0.41497812,0.46463218,0.47347143,0.44652247,0.40352178,0.3622321,0.33157194,0.3113155,0.2981116,0.28821924,0.27828476,0.26544076,0.24577217,0.215941,0.17533606,0.12883723,0.0850215,0.05127875,0.030155795,0.019183861,0.014194907,0.011812662,0.010451774,0.009556249,0.008933727,0.008410339,0.007859161,0.0072483714,0.0066245943,0.0060564107,0.0055804406,0.0051864027,0.0048517343,0.0045506847,0.0042725015,0.0040001953,0.004081718,0.006250018,0.014607378,0.034793,0.06961028,0.11487281,0.15902303,0.19032557,0.20363283,0.20258544,0.19348784,0.17975225,0.16096634,0.13710004,0.11201046,0.092330724,0.08417221,0.09049592,0.11036595,0.13920955,0.16903426,0.19234318,0.20521474,0.20967154,0.20892574,0.20505142,0.19712172,0.18585508,0.17354392,0.1645122,0.16085184,0.16278444,0.1678287,0.17341621,0.17655243,0.17483486,0.16593717,0.15008594,0.13139015,0.116977476,0.11187143,0.11458847,0.11850285,0.117416255,0.111341715,0.10615149,0.1100209,0.1270364,0.15444112,0.18281625,0.2017803,0.20501871,0.19291757,0.17127538,0.1482007,0.1311908,0.12311598,0.12176337,0.12183741,0.12073133,0.12068903,0.12625258,0.1392681,0.15592276,0.17026632,0.1781215,0.18047798,0.18085873,0.1826695,0.18653272,0.19134653,0.19801317,0.21230644,0.24591048,0.30501738,0.3835038,0.45496747,0.4930431,0.48274246,0.4377528,0.38197884,0.3394314,0.3159409,0.30708042,0.30270752,0.29754102,0.29050627,0.28388202,0.27938315,0.27688617,0.27468142,0.27100968,0.26604378,0.26128688,0.25890237,0.25931728,0.26183614,0.26436794,0.26540008,0.2636905,0.25921807,0.25246266,0.24486656,0.23807907,0.23324692,0.23014824,0.22752158,0.22431992,0.22040503,0.21622002,0.21206594,0.20794636,0.20388116,0.19994639,0.19617335,0.19264013,0.18977678,0.18840706,0.18901563,0.19116378,0.19366187,0.19591737,0.19869716,0.20340489,0.21013713,0.21678199,0.22012763,0.21811312,0.2109506,0.20066564,0.18972535,0.18035245,0.1740629,0.17137837,0.17149663,0.17300592,0.17489655,0.17722084,0.18018137,0.18351962,0.18657784,0.18962793,0.19420457,0.20141672,0.21028012,0.21706356,0.21871056,0.21502787,0.20930886,0.20500946,0.20313208,0.2027244,0.20213354,0.20101023,0.1988778,0.19575155,0.19200195,0.18964185,0.1915205,0.19921744,0.21158619,0.22444208,0.23363423,0.236858,0.23466347,0.22838515,0.21964394,0.21007793,0.20197798,0.19691885,0.1950952,0.19534159,0.19646816,0.19772063,0.19822256,0.1967042,0.19202076,0.18476361,0.17766665,0.17416169,0.17563634,0.17976274,0.18226577,0.18050832,0.17675382,0.1775475,0.18914668,0.21230565,0.24021961,0.26366675,0.27699533,0.2816925,0.2821902,0.28180912,0.28068075,0.2783027,0.27484986,0.27108383,0.2669278,0.26162732,0.25467584,0.24661289,0.2386946,0.23196618,0.22667824,0.22195232,0.21651746,0.20952755,0.2016926,0.19464524,0.18995576,0.18775879,0.18736506,0.1878068,0.18867774,0.1896074,0.19042611,0.1912819,0.19304758,0.196543,0.20161904,0.20670736,0.21006666,0.2110325,0.2105657,0.20988947,0.20949839,0.20883583,0.2074117,0.20514297,0.2023523,0.1991802,0.19578184,0.19218121,0.1882018,0.18326235,0.17739116,0.17168224,0.16808157,0.16746004,0.16905957,0.17079414,0.17096592,0.168916,0.16539621,0.16204035,0.16078527,0.16269857,0.16745901,0.17347644,0.17913622,0.18366618,0.1872925,0.19024013,0.19206236,0.1918839,0.18978153,0.18722177,0.18623866,0.18747628,0.18959855,0.19034414,0.18851574,0.18488713,0.18131687,0.1791675,0.17861654,0.17916067,0.18067645,0.18345968,0.1879947,0.19407116,0.20078707,0.2062081,0.20868962,0.20791067,0.20644443,0.2076212,0.21327399,0.22134012,0.2281782,0.2307502,0.22872265,0.22358482,0.21774589,0.21303435,0.20959426,0.20616549,0.20145254,0.19593579,0.19113415,0.18818407,0.18644714,0.18413927,0.17932175,0.17063276,0.15779132,0.14164723,0.124553174,0.109251015,0.097940795,0.09070346,0.08605047,0.08193159,0.07741382,0.07270405,0.068469904,0.064820714,0.06131422,0.0573573,0.053198535,0.04972369,0.04820764,0.048770983,0.050612167,0.052435976,0.054120023,0.05690947,0.06250086,0.071474254,0.08228084,0.09210498,0.098843105,0.10307184,0.10826125,0.118468076,0.1347635,0.15400498,0.17026514,0.17978959,0.18211131,0.18011498,0.17625467,0.17226005,0.16889499,0.16692364,0.16688405,0.168182,0.16956441,0.1691928,0.16615236,0.16019271,0.15226324,0.14383191,0.13717148,0.13469155,0.13777108,0.14533103,0.15320845,0.15657623,0.15234958,0.1414655,0.12770176,0.1157328,0.108660914,0.10678577,0.10826406,0.11060866,0.11255142,0.114275746,0.11657413,0.11966244,0.12257826,0.12400635,0.12348386,0.12233927,0.122942686,0.12701945,0.13411616,0.14137587,0.14465979,0.14095372,0.13078706,0.11908984,0.11206901,0.11252908,0.11755744,0.12167152,0.12217612,0.12105254,0.122799814,0.13009931,0.14234374,0.15592398,0.16679971,0.17260855,0.17387211,0.17299946,0.17233121,0.17279641,0.17408818,0.17512016,0.17506798,0.17365122,0.1722287,0.17235593,0.1749295,0.17839982,0.18091662,0.18136324,0.18059562,0.17931597,0.17753756,0.17446329,0.16993363,0.16454619,0.15944278,0.15558934,0.15327679,0.15160687,0.14848448,0.14207157,0.13228472,0.12161401,0.11333188,0.10984973,0.111081816,0.1152251,0.11930201,0.12123924,0.120568566,0.119323425,0.120233685,0.12495952,0.13238418,0.13968211,0.14437318,0.14585514,0.14505102,0.14295149,0.13971943,0.13469356,0.12732899,0.11822892,0.109573446,0.10445229,0.10556191,0.11348202,0.12631845,0.13976179,0.14967595,0.15315944,0.14988972,0.14099808,0.12934498,0.11903822,0.11439527,0.11719515,0.12486169,0.13172798,0.1333239,0.12922697,0.122790344,0.11731818,0.11403335,0.11207622,0.11075333,0.11111668,0.11505061,0.123580016,0.13410129,0.14222692,0.14389563,0.13907821,0.13074902,0.12338546,0.12002217,0.120980255,0.12391827,0.12521394,0.12288844,0.11704584,0.10996423,0.10331985,0.09803166,0.09327256,0.08792169,0.08110439,0.07342112,0.066744454,0.06288233,0.062303722,0.06385812,0.06611455,0.06855313,0.071891285,0.07753838,0.08663716,0.09917111,0.11310997,0.12529467,0.13361147,0.1395945,0.14686458,0.15756999,0.16894715,0.1759241,0.17555755,0.16970931,0.1625775,0.15698715,0.15361261,0.15233226,0.15333752,0.15600657,0.15841842,0.15871225,0.15672745,0.15387814,0.15121223,0.14850496,0.14478381,0.1400225,0.13572425,0.13445723,0.13746907,0.14350669,0.14896663,0.15129833,0.1507264,0.15007333,0.15156822,0.15505819,0.1585385,0.15985788,0.15803505,0.15268321,0.14381681,0.13176188,0.11774581,0.103792764,0.09167292,0.08201453,0.07395554,0.06647433,0.059339616,0.05342814,0.04955097,0.047913697,0.04818135,0.050383177,0.054915655,0.06220336,0.07203791,0.083198816,0.09421555,0.104186565,0.114623606,0.1273358,0.142689,0.15686303,0.16579102,0.16783202,0.16594268,0.16366412,0.16286795,0.16266526,0.16158034,0.15843765,0.15329151,0.14709432,0.1423002,0.14090288,0.14364795,0.14771342,0.14914171,0.14406082,0.13255998,0.11838117,0.108198576,0.10741371,0.117052205,0.13359517,0.15166472,0.1679027,0.18061477,0.18888062,0.190822,0.1860683,0.17653936,0.16677697,0.16033848,0.15846653,0.1595035,0.16156018,0.16340107,0.1649869,0.16617705,0.16674359,0.1663612,0.1653282,0.16415071,0.16288453,0.16015278,0.15336692,0.14145218,0.12690738,0.11657524,0.11600188,0.12619787,0.14127302,0.15438305,0.16067909,0.16031955,0.15539007,0.14889811,0.14272808,0.13795024,0.13408874,0.13037984,0.12697083,0.12580042,0.12866189,0.13496251,0.14161186,0.1454509,0.14549713,0.14282453,0.13977017,0.1386352,0.14090508,0.14522971,0.14781834,0.14520757,0.13795182,0.1314965,0.13096069,0.13765502,0.14681198,0.15360336,0.15525334,0.1530405,0.14823794,0.1416949,0.13376118,0.1258325,0.11950588,0.11500452,0.110838175,0.10506099,0.09740955,0.08924819,0.08242616,0.07740936,0.07341235,0.069614656,0.06608044,0.06375747,0.06293046,0.06327274,0.06400838,0.06543627,0.06876054,0.07514125,0.08440584,0.094447196,0.102794476,0.10775838,0.10968507,0.10989236,0.10987085,0.110339336,0.111476235,0.11342418,0.116783254,0.12255647,0.13187808,0.1447194,0.1593032,0.17115597,0.17544448,0.16982532,0.15759782,0.14708276,0.14603549,0.15734138,0.17581098,0.19462816,0.20828927,0.21708255,0.22265507,0.22739352,0.23205669,0.23716523,0.24274921,0.24862845,0.2543728,0.25885823,0.2603396,0.25687864,0.24764931,0.23395245,0.21876244,0.20586717,0.1978789,0.19574709,0.1978864,0.201452,0.20331074,0.20155871,0.195852,0.18751134,0.17964463,0.17563228,0.17693667,0.1813395,0.18522422,0.18703759,0.18884476,0.19342734,0.20139979,0.21070015,0.21930052,0.22631533,0.2312531,0.23290344,0.22982734,0.22263402,0.21338397,0.204556,0.1965332,0.1890613,0.18294352,0.1808181,0.18442999,0.19084541,0.19327454,0.18586862,0.16982351,0.15330714,0.14575036,0.1503057,0.16102856,0.1673988,0.1630138,0.15137161,0.14325872,0.14775139,0.165208,0.18809484,0.20883298,0.2280728,0.25754896,0.31238213,0.39566556,0.48673847,0.5489661,0.55488735,0.50665075,0.43243352,0.36285475,0.31378973,0.28475854,0.27004918,0.2637417,0.2610073,0.25572914,0.24277438,0.22031216,0.19114406,0.1607277,0.13583438,0.12692155,0.15051945,0.22183494,0.33646536,0.4600192,0.5419925,0.55242085,0.50083375,0.42773077,0.36650196,0.3273076,0.29703185,0.26400855,0.22525758,0.18949264,0.16569121,0.15944469,0.16819774,0.18392813,0.19682379,0.202053,0.20108314,0.19897,0.19882818,0.20047106,0.20160554,0.19993246,0.19418068,0.18445157,0.1733458,0.16530496,0.16479933,0.17244393,0.18354446,0.19048071,0.1892669,0.1845352,0.18790747,0.20901375,0.24694689,0.2895136,0.32115385,0.3319625,0.32107398,0.29532894,0.26414153,0.23616146,0.21410246,0.1964973,0.18010874,0.166786,0.1617307,0.16905518,0.18543851,0.2019973,0.21130188,0.21284871,0.21200287,0.21333687,0.21709023,0.21988921,0.21893634,0.2136314,0.20533907,0.1968159,0.19111353,0.19033986,0.19244449,0.19276993,0.18727458,0.17793362,0.17192477,0.1769628,0.19503851,0.22074784,0.24543945,0.2630252,0.27190164,0.27234057,0.2631282,0.24362399,0.21688326,0.19123264,0.17511904,0.17232107,0.17996176,0.19193141,0.20275326,0.20940585,0.211052,0.21116064,0.21974291,0.25502494,0.32850537,0.43282104,0.531575,0.585926,0.5754063,0.5166519,0.44067225,0.3760933,0.33268914,0.30950442,0.29979298,0.2970822,0.29532123,0.2897805,0.2778426,0.25874314,0.23349835,0.20397274,0.17671658,0.16536151,0.19198148,0.2691044,0.38555527,0.49690655,0.55694246,0.5433332,0.47752926,0.39752743,0.3345342,0.29359433,0.26507834,0.23762697,0.20863314,0.18300681,0.16776647,0.1664965,0.17693745,0.1913621,0.20224303,0.20626126,0.2066325,0.20809776,0.2134534,0.22155063,0.22935666,0.23347001,0.23142757,0.22291742,0.21052982,0.19856285,0.19010653,0.1844183,0.1787799,0.17185766,0.16690762,0.1683601,0.17783417,0.19097573,0.20098501,0.20254089,0.19580893,0.18581332,0.18085474,0.18655084,0.20272763,0.22115572,0.23189534,0.22766326,0.20947717,0.18439877,0.16304778,0.15271278,0.15386091,0.15996648,0.1636468,0.16251022,0.16105081,0.16546427,0.17869969,0.19713987,0.21401401,0.2223444,0.21941823,0.20765293,0.19418798,0.18647122,0.18728422,0.19343203,0.19925152,0.20178132,0.2017503,0.20097929,0.19987577,0.1978357,0.195078,0.19334714,0.19481356,0.20115249,0.21219806,0.22621655,0.23915644,0.24658693,0.24450904,0.232439,0.21383351,0.19515578,0.18107998,0.17123057,0.16290884,0.15923591,0.17460011,0.22748648,0.3219367,0.43465558,0.5225981,0.5518933,0.51964635,0.45296076,0.3848703,0.3358376,0.30915162,0.29948363,0.29884937,0.3005465,0.2996363,0.29407868,0.28334585,0.2679181,0.24877606,0.22968869,0.219153,0.23149933,0.28056785,0.3671538,0.46907482,0.5476315,0.57221174,0.54013866,0.47659746,0.41015622,0.35506174,0.30719435,0.25997552,0.21234079,0.17129745,0.1431906,0.13135533,0.1340021,0.14690952,0.16342707,0.17766757,0.18603659,0.18868144,0.18707113,0.18201728,0.17334591,0.16154516,0.14932889,0.13985781,0.13444474,0.13112159,0.12692979,0.12051022,0.112621866,0.10487289,0.09800935,0.09241102,0.08842189,0.086711705,0.08731979,0.0891589,0.090574555,0.090221725,0.08799078,0.08448192,0.08082982,0.0781326,0.07755535,0.07957401,0.083669364,0.0880752,0.090945244,0.091204725,0.08934481,0.08654609,0.08401442,0.08209782,0.08109301,0.08138941,0.08374115,0.08775232,0.09193968,0.09416952,0.09376529,0.0917907,0.09060789,0.09175902,0.095110565,0.09861847,0.10027915,0.099096455,0.09590807,0.091894515,0.0881775,0.08505282,0.08272194,0.08117557,0.08043858,0.08055493,0.0815722,0.083566375,0.08598802,0.088012934,0.08868137,0.08786905,0.086021066,0.08385053,0.08174314,0.07970056,0.07763518,0.07607955,0.07748693,0.087054245,0.110409655,0.1487929,0.19509567,0.23678689,0.26341328,0.27242458,0.26834622,0.25769618,0.24577272,0.2358049,0.22973448,0.2278049,0.2288571,0.23085134,0.2322684,0.2324742,0.23180313,0.23057054,0.22894345,0.22650631,0.22270137,0.21681128,0.20873795,0.19938065,0.19059072,0.1840992,0.18058491,0.17928825,0.17863284,0.1769403,0.1733998,0.16840267,0.16340499,0.1600552,0.15915467,0.16021043,0.16169454,0.16218795,0.1613676,0.16013445,0.15977065,0.16062944,0.16196644,0.16254479,0.16197874,0.16093779,0.1605738,0.16145353,0.16328414,0.16523726,0.16645865,0.16646297,0.16538481,0.16397871,0.16309504,0.16319703,0.1641293,0.16551618,0.16692908,0.16816385,0.16907932,0.16973114,0.17019719,0.17066617,0.1713108,0.17230503,0.17378776,0.1756937,0.17767084,0.17897947,0.17895584,0.17758022,0.17607214,0.17684317,0.182191,0.19248988,0.20504121,0.21535312,0.21961628,0.21652943,0.20740686,0.19546963,0.18515505,0.18115705,0.1860405,0.19864595,0.21363008,0.22491373,0.22831136,0.22389956,0.21465577,0.20491366,0.19763409,0.19302694,0.18886375,0.18306477,0.17619401,0.17190643,0.17385876,0.1833566,0.19737397,0.2115047,0.2213921,0.22581977,0.22539784,0.22251637,0.21887644,0.21511231,0.21017726,0.2032218,0.19463314,0.18677081,0.18192185,0.18103142,0.18256961,0.18406229,0.18366553,0.18130547,0.17821264,0.17539637,0.17315924,0.17125194,0.1697611,0.16946809,0.17183155,0.17918874,0.19352876,0.2150486,0.24004352,0.26210085,0.27470496,0.27483416,0.2635262,0.2447745,0.22304755,0.2019989,0.18377207,0.17002396,0.16256924,0.16415778,0.17615874,0.1971705,0.22156608,0.24321532,0.25770208,0.26475656,0.26532218,0.2603213,0.24907483,0.23141174,0.20854272,0.18396145,0.16207527,0.14664142,0.13909574,0.13776684,0.13907206,0.1393271,0.13760811,0.13587016,0.13846475,0.14875133,0.16709346,0.18917365,0.20836066,0.21938622,0.22171621,0.21936178,0.21735919,0.21838938,0.2210875,0.22221148,0.2191362,0.21231432,0.20442979,0.19884582,0.19689356,0.19764441,0.19847174,0.19763976,0.19493717,0.19172044,0.18917473,0.18796073,0.18811785,0.1894247,0.19143514,0.19352527,0.19557709,0.197522,0.19895308,0.19833295,0.19468111,0.18902473,0.18506269,0.18681632,0.19571616,0.2090565,0.22126277,0.22737737,0.22581065,0.21888478,0.21062851,0.20459561,0.202473,0.20403498,0.20702277,0.20838672,0.20596872,0.20080929,0.1963457,0.19625719,0.20133412,0.20994343,0.21970709,0.22975703,0.24013186,0.25116155,0.26261488,0.2741979,0.2848477,0.2928762,0.29665962,0.29608294,0.2928066,0.28832892,0.28339684,0.2777191,0.27217323,0.267879,0.26600352,0.266111,0.2674941,0.2690955,0.2704624,0.27094856,0.2707946,0.27030507,0.27040663,0.2713289,0.2731662,0.2748251,0.27456808,0.27056146,0.26246572,0.2516611,0.23995274,0.22831707,0.21700816,0.20717125,0.20158426,0.20337611,0.21319605,0.22777331,0.2412781,0.24879463,0.2486871,0.24250479,0.23317672,0.22325487,0.21436663,0.20706086,0.20124185,0.1966275,0.19354685,0.19321577,0.1968189,0.20430015,0.21360569,0.22205661,0.22798784,0.23176487,0.23465616,0.23690265,0.23703004,0.23265459,0.22327329,0.21117103,0.20126893,0.1977912,0.20200409,0.21095063,0.21947329,0.2232418,0.22100689,0.21487139,0.20838267,0.204494,0.20403455,0.20570691,0.20749052,0.20788844,0.20719181,0.20684563,0.20921765,0.21559398,0.22527987,0.23481564,0.24036819,0.24019696,0.23593527,0.2307607,0.22684254,0.22403908,0.22078668,0.21619248,0.21171094,0.21049523,0.21460788,0.22269706,0.23056225,0.23433883,0.23243175,0.22546215,0.21519262,0.20459719,0.1980458,0.1994586,0.20947306,0.22380416,0.23559485,0.24028093,0.23815997,0.233115,0.22728145,0.21998687,0.20933934,0.19728132,0.18860687,0.18843764,0.19709258,0.210858,0.22383605,0.23309202,0.23891072,0.24392779,0.24878311,0.2523344,0.25267163,0.24992783,0.24500668,0.23865919,0.23043638,0.22054529,0.21043032,0.20285559,0.19998403,0.20212583,0.20742677,0.21288593,0.21620017,0.21645255,0.21447434,0.21167989,0.20951436,0.20843983,0.20823841,0.20831494,0.20859575,0.20936255,0.21090375,0.21288802,0.21444702,0.21457984,0.2125836,0.2085015,0.20320426,0.19818014,0.19473386,0.19324696,0.19305028,0.19306707,0.19259466,0.19171722,0.19086003,0.19040298,0.19019264,0.18978894,0.18862857,0.18644732,0.18346532,0.18047349,0.17850395,0.17819814,0.17913179,0.18003784,0.17966717,0.17784303,0.17554069,0.17410636,0.17433204,0.17594367,0.17785247,0.17883869,0.17820813,0.17624019,0.17378926,0.17178911,0.17063242,0.17013039,0.16974527,0.16893607,0.16753502,0.16583991,0.16436271,0.16333948,0.16253357,0.16171622,0.16128744,0.1621722,0.1647966,0.16873024,0.17316853,0.17833358,0.18445873,0.19084984,0.19480145,0.19392018,0.18763995,0.17802687,0.16810603,0.16058241,0.15684415,0.15696628,0.15996899,0.16467847,0.16995282,0.17432238,0.17544545,0.17101812,0.16068469,0.14729758,0.135642,0.12974037,0.13020222,0.13437438,0.13809036,0.13898477,0.1380442,0.13893782,0.1445931,0.15419987,0.16357474,0.16842294,0.16759454,0.16327,0.1590642,0.15814227,0.16180499,0.16895913,0.1760345,0.17932779,0.17746283,0.172809,0.16931611,0.16962035,0.17324114,0.17750104,0.17957102,0.17799167,0.17324126,0.16704641,0.16148819,0.15795362,0.15684529,0.15783206,0.16048138,0.16447331,0.16942422,0.17397112,0.17611486,0.17381793,0.16699141,0.15742914,0.14824969,0.14168036,0.13833225,0.13718696,0.1368707,0.13635296,0.13529886,0.13371624,0.13194145,0.13019486,0.12862588,0.12705038,0.12540503,0.123863794,0.122674674,0.12200818,0.12146544,0.120854735,0.120027184,0.11986375,0.12160287,0.12696724,0.13632794,0.14804913,0.157955,0.16233413,0.16023135,0.15556772,0.15362675,0.15807895,0.16714214,0.17646788,0.18184085,0.18333705,0.18348204,0.1848454,0.18669714,0.18609257,0.18093102,0.17281647,0.16616672,0.16404635,0.16505079,0.16457044,0.15869321,0.14762528,0.13459231,0.12448901,0.12107421,0.1266436,0.13963135,0.1554337,0.16777457,0.17324936,0.17232627,0.16841184,0.16457683,0.16260944,0.16328043,0.16654998,0.1714701,0.1759397,0.17880225,0.18020712,0.18192913,0.18452346,0.18731986,0.18850225,0.18747634,0.18508925,0.18306345,0.18249488,0.18294317,0.18304032,0.18154979,0.1786489,0.17571636,0.17468588,0.17661099,0.18118338,0.18648182,0.1928281,0.20604783,0.24056207,0.3076329,0.40397468,0.49994922,0.55833536,0.5541501,0.49710956,0.41762403,0.3493047,0.30656323,0.28793514,0.2831744,0.28666595,0.2999533,0.3322743,0.38919416,0.46282172,0.52480465,0.5427628,0.50128263,0.41774145,0.32842126,0.2661642,0.2413526,0.24499159,0.25977048,0.27493832,0.290743,0.31959093,0.37021974,0.43937895,0.5002424,0.5252335,0.4989201,0.43753698,0.36769724,0.31250182,0.27405342,0.2437575,0.21217048,0.1806491,0.16203725,0.17778651,0.24127609,0.3449974,0.45117715,0.5168181,0.51705587,0.4657726,0.3957585,0.3374671,0.30050758,0.2805353,0.26912057,0.26356533,0.26805773,0.2935436,0.34648797,0.42150116,0.4922332,0.53032917,0.5193051,0.4722395,0.41458473,0.37022722,0.3449987,0.3339057,0.32924116,0.32959005,0.3400619,0.36954954,0.4197265,0.47860804,0.51849777,0.5171649,0.47168216,0.40579793,0.34791264,0.31546196,0.3056672,0.30624223,0.30604127,0.30355182,0.30803165,0.3340404,0.3877263,0.45682737,0.5112883,0.52636844,0.49813986,0.44766214,0.39772034,0.35975775,0.3299068,0.30264726,0.2773733,0.26087853,0.26330063,0.29490715,0.35569787,0.43066692,0.48921844,0.50775075,0.48155773,0.4320973,0.3840127,0.35370347,0.34000382,0.33605495,0.335345,0.3379314,0.34914473,0.37643752,0.42146802,0.47346148,0.5109065,0.5154177,0.48472536,0.43408778,0.38297305,0.34256354,0.3130916,0.29107058,0.27545783,0.27030396,0.28228948,0.31895256,0.37873706,0.4463277,0.49137315,0.49023888,0.44160378,0.37363264,0.32152626,0.30612755,0.32293674,0.35190105,0.37556195,0.38839445,0.40026078,0.42506436,0.46943316,0.5207224,0.55200416,0.5425886,0.49496427,0.43504164,0.38719106,0.35886335,0.33827165,0.3129951,0.27986225,0.2488128,0.23602144,0.2567056,0.31385028,0.39143792,0.45911297,0.49062666,0.48013696,0.44259942,0.39957502,0.36490062,0.34224483,0.32906738,0.32312712,0.32464933,0.33887187,0.3727677,0.42809308,0.49232712,0.5413858,0.5529226,0.52285147,0.4668747,0.40859726,0.36408392,0.3358477,0.3188378,0.30797663,0.30572554,0.32033575,0.36087382,0.4245689,0.4918977,0.53288466,0.5274922,0.47975162,0.416201,0.36728176,0.34978518,0.36018774,0.3813685,0.3964087,0.3996409,0.40098056,0.41623273,0.4525927,0.4975413,0.52686256,0.5230437,0.48902968,0.44210628,0.39830709,0.36219501,0.33041313,0.29872838,0.26861945,0.24827605,0.2532005,0.29531658,0.37147918,0.45475337,0.5107824,0.5189441,0.48743024,0.44034183,0.3995501,0.37256157,0.3576882,0.35090032,0.3501093,0.35543457,0.37133202,0.404983,0.45818648,0.51718277,0.555343,0.551284,0.50628126,0.4436687,0.38932657,0.35594383,0.34009704,0.33347514,0.33065292,0.33343923,0.34892258,0.3836948,0.4359404,0.48854312,0.5173612,0.5052305,0.45782652,0.39999333,0.36028245,0.352023,0.36668202,0.3845118,0.3900911,0.38561574,0.3884139,0.4161503,0.4691999,0.52284837,0.5459672,0.52320546,0.46976134,0.4133958,0.3740801,0.35185066,0.33688557,0.32091212,0.30359253,0.29218653,0.29976785,0.3364989,0.39900693,0.46306348,0.4984852,0.48914394,0.44643602,0.3955247,0.35593593,0.329615,0.3082817,0.28446007,0.2604964,0.24768205,0.2631044,0.31522763,0.39557675,0.4737414,0.5185465,0.5142861,0.47312573,0.4191271,0.37446234,0.34746778,0.33663607,0.33546007,0.339707,0.35052076,0.37665555,0.42404667,0.48690736,0.53793496,0.54774976,0.50262135,0.4242383,0.35075513,0.31521952,0.32098672,0.34834775,0.37059495,0.37595335,0.37228608,0.38155314,0.4188935,0.4822004,0.5449264,0.5794463,0.5696369,0.527449,0.4723817,0.4222344,0.3782048,0.33719775,0.29557657,0.25887522,0.23911381,0.25498867,0.31675634,0.41481352,0.5116946,0.56643105,0.55827904,0.5031277,0.43166557,0.36777374,0.3153142,0.26997736,0.23037535,0.20337796,0.20007046,0.23138268,0.29833516,0.3868514,0.4669046,0.5121048,0.51338106,0.48479858,0.44642302,0.4125106,0.3859465,0.3640463,0.34221086,0.32016444,0.30546978,0.31580937,0.3618692,0.43512177,0.49952993,0.52038485,0.48459646,0.41709554,0.3559083,0.330614,0.3410498,0.36717725,0.38573694,0.39127734,0.3965242,0.42281055,0.47786894,0.54972315,0.60596013,0.61961776,0.5821366,0.51373017,0.44105923,0.38267937,0.33903953,0.3038781,0.27409774,0.2542686,0.2551591,0.28742036,0.3539134,0.43969688,0.51317906,0.54144734,0.5132797,0.4477661,0.38058305,0.33810493,0.323593,0.32249978,0.32054588,0.3152862,0.31754497,0.3406961,0.38932082,0.4497095,0.49565148,0.5028903,0.46799526,0.40895188,0.35257936,0.31528097,0.2981532,0.29281834,0.29257593,0.29767516,0.315892,0.35634187,0.41996452,0.48939523,0.5333032,0.5247694,0.46508637,0.38584444,0.32853842,0.31449568,0.3353763,0.3658463,0.38678518,0.39702705,0.41034138,0.4426155,0.49713787,0.5575045,0.5938754,0.58348256,0.5273566,0.44943163,0.37809026,0.32842267,0.2990211,0.2802103,0.2661546,0.25976893,0.27373043,0.31937423,0.39612675,0.48007068,0.53679234,0.54074174,0.4976852,0.43593922,0.38667476,0.36144295,0.35426322,0.35267618,0.35096276,0.35180935,0.36447084,0.3967274,0.44873282,0.50507796,0.5426232,0.542027,0.5046114,0.44724175,0.3921186,0.35079047,0.3250542,0.31060848,0.30517626,0.31043756,0.33410433,0.38289225,0.4538714,0.52249926,0.5545059,0.524983,0.44558346,0.3558323,0.30101812,0.2978445,0.33147487,0.37015852,0.39291325,0.4003147,0.41174996,0.44570515,0.5067334,0.5729503,0.61444974,0.60632664,0.5546236,0.47947982,0.40671933,0.3428298,0.28675595,0.23311704,0.18711834,0.16024305,0.1705553,0.22946441,0.3324443,0.44770893,0.5324366,0.55435115,0.51678187,0.44834232,0.38372424,0.33929634,0.31475648,0.30143967,0.2955907,0.29922727,0.32016602,0.3636427,0.42898858,0.49953523,0.55117965,0.5599015,0.52341133,0.45820454,0.39350036,0.34949115,0.33221507,0.3339387,0.34495148,0.36120263,0.38854453,0.43312374,0.4918164,0.5410047,0.55389905,0.51586765,0.44585815,0.378364,0.34575307,0.35230923,0.3817214,0.40923646,0.42317417,0.42680633,0.43623468,0.46321344,0.5089229,0.554352,0.5773359,0.5616595,0.5146122,0.4536644,0.39794186,0.3536969,0.31943873,0.29098603,0.26926228,0.26224482,0.28434965,0.34435186,0.43377575,0.51879424,0.5620348,0.54480463,0.4844518,0.41418216,0.36248234,0.3357357,0.32759416,0.32712367,0.33025017,0.339522,0.3658385,0.41648233,0.48696288,0.5527831,0.5869967,0.57587075,0.53282547,0.4826257,0.4461373,0.42691287,0.4186149,0.413411,0.4093101,0.40762007,0.41006124,0.41544732,0.42134526,0.4243902,0.42310145,0.41729236,0.4094632,0.4020706,0.39729956,0.39458787,0.39213133,0.38680366,0.37690964,0.36314616,0.34957042,0.34104612,0.3400269,0.3444123,0.34944773,0.35127828,0.34958026,0.34666145,0.34507236,0.34587035,0.34863666,0.35236323,0.3557441,0.35747588,0.35670456,0.35369277,0.3497496,0.3460085,0.34239653,0.3376607,0.33138517,0.3256745,0.32443133,0.33004764,0.34054562,0.35113236,0.357668,0.3598144,0.35915104,0.35718167,0.35331237,0.34664378,0.3369776,0.32602385,0.31672892,0.31216213,0.31385112,0.32018435,0.32742026,0.33165038,0.33179387,0.3290625,0.32579565,0.3230264,0.32087153,0.3187307,0.31664693,0.3151277,0.3155813,0.319559,0.32749876,0.33713874,0.3434625,0.34215584,0.33306387,0.32183388,0.31563774,0.31857452,0.3281531,0.33808747,0.34210846,0.33846346,0.3296475,0.3206871,0.31538093,0.31476152,0.3167586,0.31807804,0.3162755,0.311348,0.30565128,0.30198154,0.30186093,0.3047601,0.30960235,0.31554672,0.32237935,0.3294706,0.335832,0.3403417,0.34236237,0.34185067,0.33946958,0.33650252,0.33438662,0.33398828,0.3352233,0.3372071,0.33875322,0.33906683,0.3382282,0.33730367,0.33719444,0.3376299,0.33701017,0.3338356,0.3280769,0.32129315,0.31609455,0.31481746,0.31870547,0.3265233,0.33501264,0.3402858,0.34039083,0.33649972,0.33243537,0.3326919,0.33972636,0.3518649,0.36347997,0.36793685,0.36249518,0.34993172,0.33694458,0.32863626,0.3268316,0.3296882,0.33489847,0.33958694,0.34168336,0.33953297,0.33313203,0.32357845,0.3127011,0.30272064,0.29533002,0.29141,0.29016933,0.29059365,0.29178107,0.29360148,0.29562035,0.29711255,0.2973065,0.29608476,0.29408014,0.29185447,0.2894003,0.28621385,0.28239605,0.27874693,0.27601206,0.27410302,0.27265453,0.27219972,0.27393928,0.27845016,0.2842686,0.2884252,0.28827265,0.28352633,0.27737162,0.27503288,0.28101042,0.2951899,0.31302437,0.3279799,0.3370781,0.34122357,0.34428397,0.34778547,0.35100448,0.35070646,0.34564647,0.3370305,0.32900766,0.3256191,0.32868895,0.3372376,0.34793392,0.35788587,0.36471972,0.3675991,0.36528936,0.357571,0.34540525,0.33186728,0.3201356,0.31161416,0.30567715,0.30068868,0.2964504,0.29360417,0.29319307,0.29395518,0.29390433,0.29171684,0.28979906,0.2916329,0.29914036,0.30972672,0.31911173,0.32389545,0.3239392,0.32172891,0.32068273,0.32307062,0.32764986,0.33119282,0.33110198,0.32880625,0.3281052,0.33170846,0.33846495,0.34446105,0.3465449,0.34460816,0.34128535,0.33940566,0.33981407,0.34142318,0.34247386,0.3423746,0.34138748,0.34033775,0.33957234,0.33947495,0.34012595,0.34128335,0.3419881,0.34120837,0.33869782,0.33541334,0.33303225,0.33279893,0.33449292,0.3363931,0.33622885,0.33278158,0.32662657,0.31978917,0.31444833,0.3115823,0.3106766,0.3102273,0.30908576,0.3069743,0.30435514,0.3014542,0.29782626,0.29262793,0.2855686,0.2772739,0.26918828,0.262547,0.25802636,0.25498846,0.25225028,0.24828137,0.24258815,0.23551263,0.22822554,0.22167332,0.21613522,0.21144815,0.20787711,0.20725997,0.212528,0.22532696,0.24372451,0.2620761,0.27473795,0.27898982,0.27592033,0.26821122,0.25833517,0.24820639,0.23914605,0.23232949,0.22808336,0.22629483,0.22605008,0.22611696,0.2248699,0.2209145,0.21394254,0.2054979,0.19900982,0.19879471,0.20767705,0.22533959,0.24718113,0.26741728,0.28143242,0.28854623,0.28993437,0.2875252,0.28206608,0.27363154,0.2615586,0.24579151,0.228563,0.21501486,0.21072076,0.21749197,0.23138511,0.24556942,0.25464582,0.25752488,0.25551113,0.2500751,0.24070926,0.22639163,0.20649712,0.18308379,0.16054018,0.14628042,0.14671624,0.16449206,0.19389932,0.22494853,0.2475215,0.2581208,0.25820076,0.2523574,0.24425036,0.23631912,0.22944754,0.22350882,0.21827732,0.21377398,0.21048868,0.2083114,0.2063086,0.20354313,0.20007926,0.19796507,0.20002884,0.20855457,0.22328699,0.24103494,0.2575207,0.26932928,0.2758713,0.27770618,0.2759705,0.27111116,0.26390168,0.25486127,0.24459559,0.23400728,0.22574271,0.22285505,0.22692025,0.235021,0.24221326,0.24378967,0.2390849,0.22979663,0.21895327,0.20870076,0.2002713,0.19424714,0.19070052,0.19029687,0.19370568,0.20139186,0.21226466,0.2240771,0.23462957,0.24213314,0.24584262,0.24549055,0.24262919,0.23947614,0.2376452,0.236219,0.23248118,0.22476296,0.2142814,0.20516507,0.20137759,0.20454009,0.21355516,0.22561072,0.23770411,0.246498,0.24975163,0.24695198,0.24022317,0.23303221,0.2279615,0.2257707,0.22510047,0.22453173,0.22294538,0.21986812,0.21464115,0.20705004,0.19888495,0.1939131,0.19581573,0.2048452,0.21728323,0.22810064,0.23401868,0.2353221,0.23418178,0.23320086,0.23322146,0.23373224,0.23333448,0.23116411,0.22690935,0.2205994,0.21187681,0.20049556,0.18650585,0.17153275,0.15806067,0.14950456,0.14849538,0.15619807,0.17086971,0.18732218,0.198771,0.19992888,0.1916799,0.18060406,0.17537183,0.17953146,0.18978478,0.1994157,0.20448284,0.2057663,0.20578538,0.20571356,0.20484434,0.20257604,0.19945455,0.19673698,0.19555502,0.19610615,0.19785632,0.19964011,0.20031558,0.19925559,0.19667043,0.1936087,0.19127983,0.19032568,0.19048576,0.19083494,0.19070457,0.18993944,0.1890121,0.18840802,0.18831687,0.18845397,0.18827753,0.18734646,0.1857133,0.18384577,0.18254113,0.18227185,0.18303299,0.1841795,0.18491083,0.18467672,0.18340032,0.18141341,0.17930204,0.17758451,0.17650993,0.17572038,0.17452902,0.17243584,0.16960621,0.16689797,0.16511531,0.164545,0.16472836,0.16477251,0.16393186,0.16181825,0.15883976,0.15578175,0.15352811,0.15249656,0.15300037,0.15588623,0.16247107,0.17271931,0.18384545,0.19080432,0.1904211,0.18382078,0.17654337,0.17386703,0.17792733,0.18643546,0.19538875,0.20064749,0.19965146,0.19165641,0.17871492,0.16452311,0.15196083,0.14105827,0.13034944,0.120393835,0.11479831,0.11719435,0.1273251,0.14038979,0.15083735,0.15588462,0.15676768,0.15617466,0.15591209,0.15582974,0.15503731,0.15301973,0.1499058,0.14564416,0.13984604,0.13221304,0.12332583,0.11421711,0.10574049,0.098519295,0.09398046,0.094664186,0.10218653,0.11459631,0.12592612,0.12999655,0.12521578,0.11743004,0.11801837,0.13796367,0.17964047,0.23353362,0.28307247,0.31654382,0.3329625,0.33982038,0.34404063,0.34858152,0.35306844,0.3573059,0.36134684,0.36372232,0.3590505,0.33907375,0.2977741,0.23768811,0.1707259,0.113101386,0.07837502,0.075034976,0.10525423,0.16278712,0.2316643,0.29169106,0.3299506,0.3464036,0.35089824,0.3525668,0.3556553,0.35954344,0.36322793,0.36587465,0.36573207,0.35731104,0.33244696,0.28537485,0.21992444,0.1499273,0.09318607,0.06253893,0.06341239,0.09351322,0.1439915,0.19971327,0.24581194,0.27481446,0.28969857,0.29809618,0.30568603,0.31382617,0.32182768,0.32924634,0.33523485,0.3372953,0.33035982,0.31041622,0.27757517,0.23882888,0.20347886,0.17868859,0.16510226,0.1592056,0.15610361,0.15276316,0.14800052,0.14209662,0.13547806,0.12802085,0.11859149,0.105960704,0.090070225,0.07297183,0.057819366,0.04740128,0.042996388,0.04492973,0.0525634,0.06408859,0.075987585,0.08457622,0.087670006,0.085806064,0.08107524,0.07607701,0.07268086,0.07221671,0.07472574,0.07909981,0.08267947,0.08280983,0.07797388,0.069107614,0.05884965,0.05012047,0.04495305,0.044429276,0.049300674,0.05938078,0.07281318,0.085955895,0.09542654,0.09988377,0.1004425,0.099129885,0.09749778,0.096185386,0.09530241,0.09501133,0.09551934,0.09714234,0.09976392,0.10301184,0.10606601,0.108381875,0.10973219,0.11075681,0.112830006,0.11776205,0.1267693,0.13889678,0.15085292,0.15791164,0.15697402,0.14827336,0.13569997,0.12453553,0.118599296,0.11871753,0.12271007,0.12760311,0.13104399,0.1321122,0.13090336,0.1281659,0.12574808,0.12531869,0.12763463,0.13070165,0.13206361,0.13031016,0.12714814,0.124916166,0.124861896,0.12590384,0.1267267,0.1273186,0.12879841,0.13156067,0.13378786,0.13319142,0.12933053,0.12535597,0.12502442,0.12990087,0.13729028,0.14350833,0.14589882,0.14448367,0.13995756,0.13373551,0.12820245,0.12652452,0.1305225,0.138169,0.14471138,0.1455227,0.13904725,0.12689535,0.112397574,0.09980902,0.09296409,0.09441769,0.1027306,0.1135843,0.12111025,0.12291661,0.11921939,0.11314523,0.10621417,0.099756606,0.09331418,0.08711561,0.080798455,0.07498351,0.07089856,0.070993066,0.07803619,0.09295916,0.11343545,0.1334388,0.14689505,0.15052049,0.1460886,0.13849932,0.13342297,0.13375616,0.13883759,0.14489847,0.14864789,0.14883488,0.14722209,0.1459908,0.14655471,0.14806324,0.14898787,0.14801614,0.14518987,0.14091022,0.13545929,0.12901786,0.12199741,0.11516503,0.10922865,0.10554215,0.10605208,0.112088226,0.12238655,0.13262929,0.1381491,0.13671406,0.13015386,0.12305295,0.11983777,0.12232232,0.1282791,0.13453023,0.1392276,0.14381225,0.14976533,0.15684964,0.16270559,0.16559303,0.16583748,0.16502279,0.16408144,0.16235161,0.15878846,0.15334342,0.14734566,0.14212736,0.13823213,0.13547665,0.13452764,0.13673009,0.14310443,0.15209907,0.15980466,0.16185842,0.15653469,0.14632809,0.13659336,0.13236433,0.13504906,0.14214717,0.14931475,0.15329772,0.15315956,0.15011545,0.14633055,0.14414388,0.14471376,0.1478231,0.15181528,0.15532726,0.15753855,0.15847933,0.1574747,0.15388672,0.1473729,0.13978331,0.1343171,0.1340435,0.13917011,0.14625348,0.15050675,0.14884882,0.14221461,0.13399361,0.12763388,0.12440166,0.12344208,0.12320461,0.12306553,0.124065906,0.12808223,0.13588633,0.14602338,0.15507759,0.16004486,0.15975122,0.15558942,0.1500567,0.1456577,0.14336896,0.14290416,0.14334862,0.14468676,0.14774199,0.15316716,0.16005564,0.16574694,0.1675474,0.16426136,0.15727729,0.14907382,0.14187455,0.13626485,0.13191445,0.1288063,0.1277691,0.12952393,0.13261203,0.1337226,0.12958555,0.119925715,0.1073458,0.095668085,0.08763998,0.08446411,0.08592182,0.090565115,0.096026696,0.09982803,0.100862265,0.09940312,0.096645005,0.093390174,0.09024959,0.0874835,0.085136205,0.08456996,0.09228959,0.123926975,0.19651175,0.31290781,0.44554177,0.54882026,0.58584875,0.5572692,0.49303892,0.43041697,0.3882936,0.36797556,0.36087918,0.35998213,0.3611181,0.36225557,0.36041102,0.35102388,0.32996404,0.2962694,0.25612566,0.22260171,0.21604769,0.25393602,0.3394426,0.44788244,0.5367106,0.56925625,0.54185814,0.4821056,0.4250336,0.38686714,0.3611692,0.33511412,0.30405402,0.2737383,0.2501538,0.23472886,0.22469997,0.21820457,0.21454734,0.21381526,0.21585107,0.22120637,0.22990835,0.24026792,0.24782999,0.24811548,0.23933698,0.22366913,0.20515889,0.18777305,0.17552824,0.17283823,0.1827233,0.20527397,0.23899066,0.28619334,0.3498242,0.42678538,0.49874997,0.54165655,0.5395038,0.497756,0.43757245,0.3828551,0.34755412,0.3326405,0.33115438,0.3349388,0.33917275,0.3412358,0.33795658,0.32472324,0.2985796,0.26262048,0.22803658,0.2121032,0.23320906,0.299888,0.40237918,0.5073965,0.5760727,0.5844729,0.5423828,0.4800074,0.42638814,0.39086708,0.36662307,0.34397313,0.31769672,0.28868368,0.25949976,0.23486376,0.21836723,0.21027601,0.20500581,0.19541079,0.1784982,0.15884398,0.14441697,0.14085555,0.14691691,0.15716906,0.16636963,0.17457615,0.18666805,0.20793933,0.23899348,0.2736468,0.3039966,0.32662037,0.34782755,0.3814843,0.43669558,0.50694543,0.5640128,0.5800106,0.54491526,0.48118198,0.4202079,0.38474703,0.3734542,0.37414375,0.37377286,0.36776796,0.35734317,0.3460004,0.33551767,0.32486382,0.31258652,0.29892048,0.28863943,0.29004407,0.3151947,0.36974284,0.4459052,0.5155695,0.5503914,0.5384415,0.49775076,0.45496476,0.42726824,0.41093543,0.39458248,0.37202182,0.34534243,0.3200134,0.29812303,0.2805226,0.2669811,0.25672606,0.2461978,0.23177153,0.21506648,0.20404463,0.20798166,0.22777991,0.25382808,0.27099666,0.2697164,0.25133032,0.22709288,0.20935448,0.2039811,0.2063698,0.20827337,0.20786828,0.21782322,0.25863597,0.34004244,0.4462835,0.53771687,0.57819563,0.55623955,0.49398002,0.4244748,0.37381098,0.34767902,0.33955622,0.33807716,0.33568344,0.3300657,0.3231574,0.31699094,0.31040767,0.30001023,0.28418383,0.26789,0.26337868,0.28695133,0.3459505,0.42961988,0.5062732,0.5464187,0.53913236,0.50160116,0.45609358,0.41623023,0.3783866,0.33603227,0.28745928,0.23912428,0.1991301,0.17169626,0.15563653,0.14616801,0.13940454,0.13437241,0.13323809,0.1387041,0.1524646,0.17397864,0.20019738,0.22488527,0.24109189,0.24397527,0.23421083,0.2162984,0.19702737,0.18244375,0.17764477,0.18571258,0.20913517,0.25126225,0.3150663,0.39694944,0.48015538,0.5395081,0.5555385,0.5289474,0.47898433,0.430302,0.39803717,0.38367197,0.3798468,0.37802318,0.3736337,0.36588678,0.355803,0.3432901,0.3283461,0.31203488,0.29886365,0.2957854,0.31258512,0.35678625,0.42700577,0.5046342,0.5601678,0.5697714,0.5340513,0.4761509,0.42443207,0.39205727,0.3738815,0.35625812,0.33013847,0.29542637,0.258611,0.22764856,0.20815392,0.20152353,0.2048503,0.2133369,0.22281487,0.23191531,0.24113464,0.25158975,0.2625477,0.27142683,0.27419296,0.2685952,0.25596038,0.24128674,0.22941567,0.2212971,0.2140193,0.20589064,0.20247245,0.2180072,0.2658808,0.34622613,0.4369831,0.50516105,0.52533203,0.4964863,0.43833187,0.37684116,0.33029342,0.30486318,0.29908645,0.30681255,0.3209015,0.33264098,0.33584097,0.32744464,0.3098345,0.2872235,0.26559955,0.25330997,0.26494035,0.31401685,0.40048662,0.49687338,0.5624389,0.56699306,0.5169603,0.44344938,0.37914443,0.33393803,0.30002636,0.26694566,0.23323105,0.20530206,0.1885091,0.18400864,0.18705006,0.19151969,0.19084196,0.18295556,0.17105086,0.16485828,0.17330675,0.19809341,0.2287941,0.24995303,0.25140956,0.23574169,0.21615708,0.20641352,0.21350676,0.23310542,0.25588176,0.27466527,0.29295027,0.32445797,0.38051763,0.457431,0.52833766,0.5639357,0.5494442,0.4998362,0.44029415,0.39263216,0.36221066,0.34723687,0.34275877,0.3450427,0.34948683,0.35141286,0.34711477,0.33497533,0.3166635,0.29573214,0.27855587,0.273047,0.2910823,0.33854946,0.40950456,0.47814798,0.51866394,0.5182373,0.490062,0.45382747,0.4231924,0.39612588,0.3664007,0.33239055,0.29889372,0.27196252,0.25262848,0.2388879,0.22760965,0.21773987,0.20884933,0.20148252,0.19660121,0.19571866,0.1986477,0.20340395,0.2066642,0.2072656,0.20614195,0.20580149,0.20737036,0.21082026,0.21543775,0.22066313,0.22580369,0.22966439,0.2314289,0.23080832,0.2284611,0.22498852,0.22112262,0.21729273,0.21400273,0.21137808,0.20933956,0.20762354,0.2061551,0.20506072,0.20441407,0.20416856,0.20411684,0.20417511,0.20413269,0.20377527,0.20293397,0.20181872,0.2007391,0.19963293,0.1978878,0.19469912,0.18971287,0.18316825,0.1757081,0.16789491,0.1599817,0.15196888,0.14385538,0.13590674,0.12829588,0.12104046,0.113657765,0.10580931,0.09691196,0.086434536,0.07367555,0.058936983,0.043759603,0.030571556,0.02112508,0.015653793,0.0130825685,0.012026238,0.011505697,0.011076494,0.010600598,0.010088437,0.009597165,0.009209583,0.008931837,0.008706254,0.008401877,0.007902025,0.0070915297,0.0059372024,0.0045058555,0.0030227315,0.001749225,0.00087193964,0.0003938526,0.00020194921,0.0001549141,0.00016871504,0.00021854012,0.00032267734,0.0005247627,0.0009429885,0.0018743826,0.0039287955,0.007902349,0.014304616,0.023033416,0.034003828,0.04871242,0.070561364,0.10229347,0.1419928,0.18167399,0.2113344,0.22503626,0.22490005,0.21912293,0.21648498,0.22100711,0.2302268,0.23829234,0.24004664,0.23459272,0.22512613,0.21705227,0.2143997,0.21710825,0.22183996,0.22470355,0.22534324,0.22529948,0.22661263,0.22774465,0.22649114,0.221218,0.21567947,0.21645422,0.22970943,0.2548993,0.28516448,0.31183812,0.32986653,0.34055904,0.35046768,0.37186703,0.41575333,0.484682,0.56139874,0.618304,0.6319435,0.60348624,0.55324674,0.50705546,0.47788832,0.4646716,0.4592351,0.45493725,0.45059013,0.4485475,0.45188296,0.46053004,0.47043738,0.4760106,0.47509348,0.47314784,0.48297265,0.5154091,0.5702144,0.62762374,0.6625051,0.6572464,0.6194635,0.56879336,0.5258265,0.49573568,0.4755672,0.4603354,0.449474,0.44359067,0.44161478,0.44098446,0.43981442,0.43775633,0.4356687,0.4340142,0.43351498,0.43381998,0.4350507,0.43655348,0.43873736,0.44083217,0.44249904,0.44286585,0.44302025,0.44403866,0.44626758,0.44788334,0.44712827,0.44565168,0.4504545,0.47220406,0.5171437,0.57831866,0.6334191,0.6568052,0.63691765,0.58501744,0.5260004,0.4818628,0.45960686,0.45365235,0.45323226,0.45199165,0.44879892,0.4467152,0.44730332,0.4494438,0.4492021,0.44375888,0.43513238,0.43191895,0.44767871,0.49078998,0.556801,0.6220975,0.65947014,0.6519062,0.608913,0.55323654,0.50822425,0.48037645,0.46586072,0.45687893,0.45102093,0.44852886,0.4498191,0.45328724,0.45678017,0.458975,0.45924166,0.45802093,0.4560816,0.45527422,0.45596775,0.45742166,0.45629132,0.45058855,0.43996575,0.4280382,0.41883072,0.41538396,0.41735098,0.42268133,0.42947933,0.4384308,0.453235,0.4806963,0.5241764,0.5787857,0.62473726,0.64101094,0.6161087,0.56298006,0.504148,0.460591,0.43540013,0.42266205,0.41321874,0.40476665,0.3985742,0.39767992,0.40203515,0.40929887,0.41507038,0.4168087,0.41568208,0.4194523,0.44017482,0.48614898,0.55137175,0.61119205,0.6365022,0.6136721,0.55701804,0.4964656,0.45551124,0.43780318,0.433028,0.4316269,0.4312612,0.43315053,0.43608597,0.4366009,0.43305063,0.42704567,0.42149246,0.41781268,0.4162056,0.4165487,0.41924152,0.42374694,0.42882454,0.4324704,0.43371114,0.4323418,0.42918348,0.42539623,0.4222578,0.4209356,0.42282692,0.43100715,0.45082858,0.48707223,0.5372478,0.58629125,0.61148787,0.5966847,0.54556197,0.47942403,0.42240128,0.3864467,0.36966076,0.36379743,0.36237884,0.3625549,0.36378226,0.36607066,0.36911693,0.37194467,0.3730737,0.37220618,0.37274086,0.3838931,0.41772816,0.47871813,0.55301094,0.60922927,0.6183134,0.5751353,0.50440896,0.4412631,0.40794888,0.4033785,0.41270283,0.42118976,0.4219531,0.414417,0.40065303,0.3837491,0.36745846,0.35602984,0.35174108,0.35465968,0.36128142,0.36759698,0.3695729,0.36716762,0.3628223,0.36079356,0.3626878,0.3673613,0.37211716,0.37529615,0.37696895,0.37784863,0.38004383,0.38804376,0.41002548,0.4515315,0.50928503,0.56559366,0.59962684,0.5983181,0.5683658,0.5265184,0.49024686,0.4655509,0.45069742,0.44040856,0.43194866,0.42510012,0.42115727,0.4210578,0.4242027,0.4276382,0.42743564,0.42215952,0.41708347,0.42580926,0.46234444,0.52978534,0.60868424,0.6670715,0.6792619,0.6470687,0.59385616,0.54564327,0.5125147,0.48985532,0.4706863,0.45327938,0.44005558,0.43133703,0.4248825,0.4184413,0.4128233,0.41091433,0.41467747,0.42262605,0.4302322,0.43319595,0.43065587,0.42603216,0.42342243,0.42521903,0.43022773,0.43672633,0.44252267,0.44679138,0.44836858,0.44700062,0.44363332,0.44375408,0.45792615,0.495883,0.55487037,0.6133146,0.6415063,0.6219788,0.56279254,0.49080655,0.43292907,0.40179428,0.39397845,0.39975655,0.41064587,0.42307636,0.43394223,0.4404128,0.4403076,0.4357325,0.43055,0.42893443,0.43431237,0.4535818,0.49279737,0.55123717,0.6112136,0.6487814,0.64601475,0.60838294,0.5556591,0.51038337,0.4809511,0.46390927,0.45079398,0.4371803,0.423983,0.41393292,0.40892395,0.4089552,0.4127517,0.41804454,0.4217356,0.42212355,0.42030767,0.42012537,0.42427754,0.4313297,0.43618798,0.4348286,0.42779824,0.42015782,0.41704878,0.42052686,0.4286683,0.43826342,0.44828954,0.46173933,0.48579267,0.5245761,0.57359976,0.6141963,0.6264477,0.60044104,0.54847646,0.49221063,0.4514381,0.43071476,0.42573205,0.42816746,0.43298355,0.43699577,0.43877313,0.43760362,0.4334854,0.42654753,0.4163951,0.40538576,0.40065837,0.41577205,0.46038866,0.53095907,0.6027197,0.64388305,0.6350789,0.5852918,0.52293503,0.47326124,0.44323125,0.42351198,0.40574238,0.3898914,0.38263354,0.38712808,0.399979,0.41433477,0.42419347,0.4275246,0.42490017,0.41933656,0.41393292,0.41123036,0.4119284,0.41545975,0.4203026,0.42543873,0.4299426,0.43396887,0.4370209,0.43958282,0.44173583,0.4447198,0.44846496,0.45134208,0.44924995,0.43788138,0.4159421,0.38604566,0.3539543,0.3246449,0.30086723,0.28209844,0.26632318,0.25183472,0.23858564,0.2277656,0.22002546,0.21488877,0.21110082,0.20787024,0.20499653,0.20306809,0.20251094,0.20370187,0.20617796,0.20963383,0.21316844,0.21609516,0.21740818,0.21692552,0.214776,0.2116055,0.208049,0.20470317,0.20178972,0.19912525,0.1965367,0.19402336,0.19159883,0.18919927,0.1866504,0.18408251,0.18154651,0.17940766,0.17771919,0.17665152,0.17583178,0.17498077,0.17348856,0.17108111,0.16784102,0.16463184,0.16253226,0.1621266,0.16319974,0.16477233,0.1659785,0.16626015,0.16614479,0.1662147,0.16709185,0.1678903,0.16732408,0.16372722,0.15742505,0.15016282,0.14471495,0.14228688,0.14221694,0.14256774,0.14168184,0.13923967,0.13592021,0.13324593,0.1320079,0.13217305,0.13240379,0.13151671,0.12905808,0.12597671,0.1241008,0.124972485,0.12856303,0.1325851,0.13401128,0.13108107,0.12479458,0.11773121,0.11216392,0.1085993,0.10627257,0.10429368,0.10245744,0.1014572,0.102284394,0.10553068,0.11014154,0.11368629,0.11371419,0.11001382,0.10485489,0.101652265,0.10236702,0.10626432,0.11020685,0.11094,0.10749769,0.10172682,0.09697709,0.09522605,0.09634653,0.098211,0.09913435,0.09841057,0.09651067,0.093521975,0.089035325,0.08228858,0.072895035,0.061072674,0.04785551,0.034957424,0.02410615,0.01619309,0.011041881,0.007854784,0.005854459,0.0045202496,0.0035729662,0.002860709,0.0023055,0.0018655394,0.0015083743,0.0012062802,0.00093712844,0.0006926243,0.00047759866,0.00030316264,0.00017729991,9.804947E-05,5.5217697E-05,3.5465466E-05,2.812931E-05,2.657268E-05,2.7120004E-05,2.7709344E-05,2.7076143E-05,2.5315067E-05,2.306421E-05,2.1727223E-05,2.1944308E-05,2.4697678E-05,3.7184345E-05,0.00012743367,0.00057478255,0.002188835,0.0065735276,0.015966669,0.03214029,0.054890234,0.08121953,0.106423266,0.12636167,0.1392081,0.14541668,0.14638942,0.143184,0.13600396,0.124640405,0.10970846,0.09372467,0.0809754,0.07561848,0.079125285,0.08944103,0.10193697,0.112513304,0.11891229,0.12094363,0.11811763,0.10922194,0.09321547,0.071658745,0.048833903,0.029606124,0.016623108,0.009495137,0.006132515,0.0045190253,0.0035534957,0.0028580676,0.0023498842,0.0019846421,0.0017177813,0.001506242,0.0013255297,0.0011595086,0.0010091836,0.00087465835,0.0007610409,0.0006627554,0.0005763927,0.00049682386,0.00042506645,0.000362011,0.0003094724,0.00026907775,0.00024170702,0.00022554629,0.00021586445,0.00020846813,0.00020254386,0.00019975663,0.00020116703,0.00020590692,0.00021304561,0.00022316868,0.00023756975,0.00025590337,0.00027548525,0.00029243008,0.00030420208,0.0003104318,0.00031332052,0.00090111064,0.006122514,0.026008368,0.07679028,0.1679207,0.291804,0.41544414,0.5038001,0.5345941,0.5177643,0.4739479,0.42747787,0.38737956,0.3591865,0.3422805,0.3395932,0.3530929,0.3867322,0.43749055,0.49178043,0.523881,0.5128184,0.45653442,0.37892222,0.31332782,0.28488913,0.29655316,0.33313188,0.372231,0.39903274,0.41409764,0.43069574,0.46080542,0.5008147,0.530402,0.53036064,0.49884447,0.45178333,0.40296614,0.3540564,0.29837796,0.23675506,0.1794591,0.14241964,0.13933626,0.1808001,0.2653668,0.37420145,0.47012815,0.52099085,0.51660377,0.47631028,0.42683068,0.38742927,0.36077893,0.34343934,0.3314437,0.326189,0.33344436,0.36148393,0.41321373,0.47821975,0.5336372,0.5562274,0.5379299,0.48888,0.4295428,0.37740386,0.3414513,0.32128516,0.31300005,0.31484818,0.33221352,0.37328514,0.43673348,0.5029432,0.5389268,0.52172744,0.45522144,0.37184754,0.3104352,0.29443535,0.31996402,0.36278045,0.39786753,0.41495857,0.42537415,0.44637522,0.4867035,0.53201586,0.5573252,0.54299194,0.4928939,0.42683923,0.36477673,0.31306013,0.26747674,0.22383805,0.18445389,0.15947206,0.16322364,0.20816238,0.29252458,0.39313522,0.47186598,0.49995068,0.4759229,0.4242903,0.3733224,0.33805135,0.31833467,0.3083088,0.30499426,0.30913493,0.32625857,0.36065373,0.41324532,0.4717903,0.5180842,0.53231484,0.5108507,0.46284243,0.40866148,0.3628088,0.33218935,0.3140835,0.30557248,0.30705908,0.3242745,0.3611118,0.41139647,0.45439318,0.4655298,0.43259773,0.36819103,0.30123696,0.26073352,0.25785533,0.28554222,0.324621,0.35916328,0.38293675,0.4029243,0.42900577,0.46361682,0.49483085,0.5053247,0.4877195,0.45006338,0.40610674,0.36098024,0.31149986,0.2557523,0.20011334,0.15621214,0.13610588,0.15240274,0.21207602,0.30810532,0.4104886,0.48313585,0.5041837,0.48213124,0.4411141,0.40341747,0.37710676,0.3621193,0.35596392,0.35824215,0.37023434,0.39808878,0.4460175,0.51068825,0.57062215,0.60257864,0.59196717,0.55061156,0.49763575,0.45339707,0.42191443,0.40346798,0.39212558,0.3869991,0.38899696,0.40710607,0.44786906,0.5057592,0.5533314,0.5571906,0.5022415,0.40962514,0.3229115,0.2796949,0.28841826,0.32925045,0.37232098,0.39825544,0.40946844,0.42528138,0.46353498,0.52132225,0.57123774,0.5829522,0.54690814,0.48149285,0.41174212,0.35114923,0.2973037,0.2460226,0.19840245,0.16298537,0.15198915,0.18068403,0.25587675,0.36558327,0.47381338,0.5439665,0.55841637,0.53093785,0.48550674,0.44340026,0.4111065,0.39031386,0.37872708,0.37452638,0.37250245,0.36516237,0.34349445,0.30139133,0.2406271,0.17183463,0.10957535,0.06422269,0.037380513,0.024224637,0.018271798,0.01525876,0.013154213,0.011373906,0.009732193,0.00821912,0.006850852,0.0056597707,0.004674098,0.003896355,0.0032946991,0.0028149541,0.0024123257,0.002064927,0.0017742697,0.0015462016,0.0013820097,0.0012718779,0.0012017415,0.0011552483,0.0011196369,0.0010848246,0.0010478725,0.001010412,0.0009775962,0.0009510379,0.00092924014,0.00090871233,0.00088839146,0.00086949207,0.00085421366,0.00084401754,0.0008381384,0.0008338233,0.0008261983,0.00081168977,0.0007892896,0.00076272595,0.00073668314,0.00071455416,0.00069578673,0.0006781141,0.0006602397,0.0006421586,0.00062597217,0.00061362283,0.00060822733]