[0.007979306,0.0113262115,0.019754732,0.033072513,0.05000636,0.068424076,0.08565647,0.10022446,0.112136744,0.12334285,0.13502781,0.14618136,0.15268652,0.15093796,0.14069639,0.126114,0.11223337,0.10164735,0.093517505,0.08583978,0.07808608,0.071785934,0.06925691,0.07127137,0.07639464,0.08142858,0.083628826,0.08192954,0.07737834,0.0720754,0.067546055,0.06438442,0.061735887,0.05933919,0.05670378,0.054267418,0.0518371,0.05045882,0.05159991,0.05590844,0.061094027,0.06320435,0.061426297,0.060248777,0.06508937,0.07622871,0.08627785,0.08806726,0.07927824,0.0658613,0.05486846,0.05192918,0.055857018,0.06256073,0.0679239,0.07528218,0.09073397,0.11526822,0.13813007,0.14550549,0.13356982,0.11162791,0.093319245,0.084615596,0.08246571,0.07970038,0.07248433,0.06271315,0.054824453,0.051337034,0.050010014,0.047904506,0.043597016,0.038646337,0.03440469,0.03176284,0.030511275,0.030559426,0.03272957,0.040082436,0.055890664,0.078801654,0.10126606,0.115062766,0.11988493,0.123036474,0.13063253,0.14098267,0.1468113,0.14397863,0.1321646,0.11389323,0.09165046,0.072324015,0.06584556,0.07861029,0.10569421,0.13216487,0.14750592,0.15314049,0.16244274,0.18180113,0.20636971,0.21779452,0.20479421,0.16803871,0.12655099,0.10098696,0.10461094,0.13532095,0.18126176,0.22693491,0.2562045,0.25898677,0.23569483,0.19932373,0.16377096,0.1349546,0.111843795,0.09564676,0.09124469,0.099346556,0.11263179,0.124913774,0.13905783,0.16348217,0.1956596,0.22127366,0.22610708,0.21471746,0.2049091,0.21048069,0.22748213,0.24114574,0.24259752,0.23478685,0.22733028,0.22613643,0.23229718,0.24266416,0.2512304,0.24771975,0.22588442,0.19119363,0.16518831,0.16848825,0.20404977,0.2489248,0.2730608,0.2620345,0.2273364,0.1920783,0.17053898,0.16046047,0.15196246,0.13957103,0.12753862,0.1249131,0.14054044,0.17368472,0.21388161,0.24146229,0.24339078,0.22033161,0.18973167,0.16849548,0.1607955,0.15515578,0.13859572,0.11188418,0.08950981,0.08953378,0.11298642,0.14578784,0.1656192,0.16713893,0.15648307,0.1466311,0.13740678,0.12645884,0.11377492,0.11095705,0.12875508,0.16902517,0.21812625,0.256603,0.27124777,0.26504657,0.24945946,0.23332113,0.21459983,0.1900994,0.16321391,0.14628175,0.14659105,0.1595858,0.17006822,0.16709842,0.1507483,0.13079192,0.11645431,0.10989073,0.10602636,0.09845082,0.08648745,0.077462494,0.08086748,0.10115238,0.13229968,0.16328835,0.18341176,0.1913848,0.19245706,0.19450772,0.19630374,0.19154958,0.17606728,0.15963845,0.15731204,0.17695777,0.21093054,0.24377684,0.26507103,0.27314052,0.27480987,0.275985,0.2777119,0.27185923,0.24856348,0.2052324,0.15108202,0.10251229,0.07289495,0.066077136,0.07469612,0.08607329,0.09301138,0.10056176,0.119940974,0.15321974,0.18635114,0.20181459,0.19627066,0.18374093,0.18039681,0.18941249,0.20142241,0.2036448,0.19074829,0.16590846,0.14011344,0.12367643,0.12106202,0.12775135,0.1372599,0.14619763,0.15629768,0.167259,0.17585403,0.17669018,0.17118897,0.16484378,0.16441976,0.16893071,0.17327477,0.17128593,0.16419111,0.15872753,0.16368324,0.17897922,0.19599645,0.20482266,0.20793991,0.21711989,0.24024291,0.26834428,0.28405222,0.2770617,0.25391468,0.22922684,0.21467225,0.21232302,0.2171938,0.2208879,0.21855515,0.21238804,0.21200757,0.22134805,0.23404981,0.23661585,0.22942533,0.22779872,0.24856652,0.2872112,0.3215491,0.33225235,0.3172512,0.28804353,0.25511602,0.22843428,0.21484254,0.21874903,0.23004466,0.23372807,0.21959351,0.19849752,0.1896417,0.20704667,0.24322419,0.2797192,0.29647842,0.28503644,0.2465008,0.1953067,0.1534143,0.14055823,0.15839054,0.189128,0.2117803,0.21874698,0.21795355,0.21904834,0.22275491,0.2209739,0.20556594,0.17775643,0.1505968,0.14246932,0.1617266,0.19885294,0.23068155,0.24049866,0.22607951,0.19911547,0.16982086,0.14563665,0.13026965,0.12808567,0.13838218,0.15653485,0.17556876,0.19064896,0.19636492,0.19044572,0.17901246,0.18019621,0.20914125,0.26462385,0.3253374,0.36892644,0.3833346,0.37136707,0.3410556,0.3031554,0.26900163,0.24899043,0.24632029,0.25274524,0.2526959,0.23783815,0.21477194,0.19982217,0.19876611,0.20148516,0.19357832,0.174461,0.15730004,0.1522625,0.15720248,0.16343857,0.1690423,0.17819877,0.19272201,0.2066729,0.21265338,0.20833223,0.19667153,0.18077533,0.16116424,0.13981341,0.12296152,0.12079046,0.13783832,0.16913478,0.20179449,0.22386555,0.22732203,0.20964372,0.17529397,0.1389067,0.11619889,0.113400094,0.12029327,0.125709,0.12920506,0.14213157,0.17226882,0.21277349,0.25108835,0.27552095,0.2859193,0.28246525,0.27076825,0.25490615,0.23983306,0.22282065,0.19761683,0.16396065,0.13093057,0.11102129,0.107759364,0.117399454,0.13561545,0.16064732,0.18750644,0.20482987,0.20265388,0.1850843,0.16987322,0.17643166,0.20862551,0.25301948,0.2883588,0.29698104,0.2750827,0.2312402,0.18797936,0.16392505,0.16703592,0.18539017,0.20531756,0.21899949,0.22948027,0.23649634,0.23459725,0.21812849,0.19359225,0.17719162,0.18275996,0.20813115,0.23607428,0.24869,0.24178243,0.22757381,0.22055663,0.2250549,0.23150307,0.22958548,0.21960057,0.2161976,0.23455416,0.27449676,0.31619647,0.33634162,0.329133,0.30889916,0.2944579,0.28998062,0.2849063,0.2652429,0.22860652,0.1873828,0.15977174,0.15677767,0.17180498,0.19078092,0.20009369,0.1990904,0.19233765,0.19026142,0.20067376,0.22879834,0.26807144,0.3031263,0.31423655,0.2932208,0.24800734,0.19989826,0.16639711,0.15133323,0.14734691,0.14855124,0.15631117,0.1729492,0.19454108,0.2118225,0.2172187,0.20797455,0.1862806,0.15881158,0.13767815,0.13551013,0.15717268,0.19390517,0.2269066,0.23838703,0.22194004,0.1866805,0.15071425,0.12914547,0.123872064,0.12451678,0.1195583,0.10766589,0.10055679,0.11165718,0.1451404,0.18893085,0.22507651,0.23990987,0.23537804,0.22594823,0.22924764,0.25162318,0.28065896,0.29535666,0.28159156,0.24586795,0.20630924,0.17970575,0.17039017,0.1736721,0.18231206,0.18985204,0.19156861,0.18579406,0.17343122,0.15720667,0.13668898,0.112206556,0.08498161,0.061723784,0.051490467,0.06365921,0.100819625,0.15197964,0.19853397,0.22749294,0.24767423,0.27729407,0.32780474,0.3875747,0.4375541,0.46309343,0.4638226,0.44482207,0.41299996,0.3755059,0.3385996,0.3058895,0.2742871,0.23901717,0.19870342,0.16043204,0.13592981,0.13152914,0.14370006,0.16143315,0.17790675,0.19219212,0.20668699,0.21999265,0.22948118,0.23155366,0.22582555,0.21190095,0.19479547,0.17846154,0.16766077,0.16086422,0.15745156,0.15485495,0.15362905,0.1544367,0.16092138,0.17165017,0.18138416,0.1839472,0.18643856,0.20201421,0.23930113,0.2873703,0.3265172,0.33941904,0.32179245,0.28127444,0.23449187,0.201553,0.19287527,0.2051041,0.22232305,0.23279792,0.23054451,0.21886104,0.20212649,0.19003236,0.18745135,0.19336225,0.19848107,0.20055543,0.2064783,0.22736605,0.26316097,0.30255207,0.33082923,0.3409538,0.3354522,0.31944552,0.29476604,0.25728038,0.20672293,0.15289257,0.1168539,0.115628146,0.1489857,0.19537832,0.22796927,0.23393552,0.22275491,0.21427234,0.21988569,0.23523255,0.24734934,0.24699093,0.23317342,0.21288961,0.19728832,0.19842564,0.22132397,0.2611384,0.30183077,0.325169,0.3170167,0.27766135,0.22126074,0.17205566,0.15039243,0.16391726,0.20185597,0.2406574,0.25537357,0.23441331,0.1865315,0.13499929,0.102642484,0.09901613,0.11876947,0.14927745,0.18001574,0.2038352,0.21570134,0.21057482,0.19039078,0.16611171,0.15512383,0.16867347,0.20335452,0.24346972,0.269442,0.27081978,0.24833137,0.21390653,0.18117882,0.15907396,0.1482372,0.14181207,0.13364819,0.12316992,0.121559046,0.14092839,0.18384564,0.2339744,0.26828086,0.27125826,0.2455345,0.20676677,0.17551892,0.16748963,0.18634284,0.22071497,0.24889266,0.25366852,0.23210515,0.20013769,0.17781031,0.17996944,0.20166878,0.22775333,0.23950638,0.23458822,0.22281106,0.2179841,0.22132333,0.22303824,0.21520288,0.19970734,0.1891793,0.19276352,0.21422128,0.24632923,0.27924064,0.29960844,0.29995212,0.27889624,0.24641259,0.2152702,0.1972978,0.1928364,0.19485812,0.19236486,0.18336673,0.17524622,0.1782382,0.19251257,0.20575695,0.20666724,0.19535361,0.18458802,0.18029173,0.17921819,0.17234343,0.16545987,0.16968577,0.19075014,0.2158082,0.22999804,0.23266584,0.23712416,0.25517398,0.28110278,0.3003721,0.30189338,0.29114702,0.28136957,0.2824817,0.28865632,0.28694203,0.2660653,0.23029841,0.19167699,0.16603507,0.15832028,0.16495256,0.17597567,0.18804008,0.20338981,0.2220418,0.23411073,0.22893755,0.20981938,0.19351901,0.19225453,0.19933115,0.19838136,0.18460383,0.17291427,0.18101345,0.20929049,0.23962529,0.25613737,0.26106462,0.27076527,0.2962912,0.33227786,0.3598189,0.36172593,0.3309879,0.27765557,0.22175772,0.18832392,0.1904118,0.22402406,0.26630202,0.29273775,0.29035056,0.2655017,0.23481984,0.21230553,0.19998759,0.18975669,0.17344648,0.15180534,0.13532871,0.13463622,0.15136252,0.1763977,0.19873618,0.21314454,0.22303058,0.23498875,0.2526132,0.27112734,0.27964693,0.27019808,0.24672942,0.22518404,0.22025056,0.23509693,0.25815237,0.27598,0.28052115,0.2731363,0.25649747,0.23445015,0.212956,0.20340951,0.21436162,0.2445275,0.27997908,0.30410585,0.3045003,0.28122023,0.24526878,0.21603185,0.20644297,0.21412121,0.22268577,0.21854015,0.20340385,0.19008327,0.18768157,0.19209923,0.19323124,0.18607782,0.1750484,0.16630055,0.16055542,0.1528016,0.13867708,0.12098936,0.10994009,0.11722177,0.1458266,0.18473007,0.21604556,0.22690941,0.21931541,0.201334,0.1820126,0.16532761,0.15895255,0.16834141,0.1936353,0.22271435,0.24169628,0.2421043,0.22745682,0.20643471,0.18836927,0.17648973,0.17142169,0.17479758,0.19023465,0.21818797,0.24807818,0.26752973,0.2691103,0.26055124,0.24920751,0.23898716,0.22580636,0.21284032,0.20735385,0.21606219,0.23308027,0.24430402,0.23666574,0.20852363,0.17056553,0.13663253,0.11567835,0.10745498,0.11013558,0.12012585,0.13446325,0.14780985,0.16116405,0.17883724,0.20339979,0.2261223,0.23404162,0.21970324,0.18719316,0.1465859,0.10915512,0.08533257,0.084750734,0.11116344,0.159106,0.2142973,0.26133642,0.29019442,0.29811135,0.28846216,0.26597807,0.2357263,0.20159169,0.17103869,0.1558807,0.1665212,0.20185614,0.24523687,0.27648544,0.28567743,0.27826288,0.2651669,0.25181976,0.23652487,0.21452828,0.18507405,0.15230842,0.12728018,0.1205227,0.13538963,0.16132645,0.1832066,0.19293346,0.19495893,0.19731344,0.20097601,0.20091653,0.1946885,0.19032504,0.20064576,0.23171556,0.2741451,0.30737793,0.31431878,0.29289743,0.2572251,0.22431488,0.20296921,0.18879867,0.17493905,0.16105433,0.15685256,0.17146485,0.20384097,0.240712,0.26325965,0.2581823,0.22505087,0.18146145,0.151986,0.15383065,0.1827237,0.22072823,0.25024,0.26563844,0.2718281,0.2751561,0.2767602,0.26945838,0.24475451,0.20176871,0.15286617,0.11852512,0.11439147,0.14158745,0.18395804,0.21860258,0.22988479,0.22205769,0.21408194,0.2232806,0.24878044,0.27403077,0.28192505,0.2703785,0.25196245,0.24472916,0.25660706,0.28230622,0.30502868,0.31340513,0.30517676,0.28914174,0.27043262,0.2501853,0.22688408,0.20323323,0.18544714,0.175519,0.17618017,0.18930174,0.22351472,0.2759553,0.3309369,0.3597026,0.3466352,0.29961702,0.245789,0.2108034,0.20408855,0.21958046,0.24040301,0.24906498,0.23258649,0.19199735,0.13976286,0.09394684,0.06458293,0.051738113,0.04875629,0.053862613,0.07257009,0.11279564,0.17314453,0.23995955,0.29462174,0.32475898,0.32699922,0.3050733,0.26825637,0.23317796,0.2173648,0.22762144,0.2556167,0.28529003,0.3065612,0.31406558,0.30539098,0.27910182,0.24543017,0.22332011,0.22913028,0.25833383,0.28915083,0.29743972,0.27897868,0.24874224,0.22895484,0.22960405,0.24625559,0.27081534,0.30000713,0.33408347,0.3662279,0.38437888,0.38002875,0.3551426,0.32016978,0.28341016,0.2510899,0.22578804,0.21340196,0.21551906,0.22985013,0.24589328,0.25775144,0.26561558,0.27740464,0.2954344,0.31394935,0.3199043,0.30427667,0.2704902,0.23816852,0.23222594,0.26427844,0.32052457,0.37153995,0.39513454,0.3899288,0.36988285,0.3475784,0.32775792,0.30967107,0.2954614,0.28716478,0.2845101,0.28072694,0.27328804,0.26675466,0.27226916,0.29080638,0.30917457,0.30866206,0.28543082,0.25536478,0.23896384,0.24157216,0.2506324,0.2535528,0.25211784,0.25923583,0.27823102,0.2979863,0.30266157,0.2930976,0.28035486,0.27355114,0.26721838,0.25587538,0.24462093,0.24782872,0.2738156,0.31572613,0.35760316,0.38185993,0.3778421,0.34166214,0.28123212,0.21226288,0.15626533,0.12945521,0.13871886,0.176511,0.22494532,0.2621378,0.2728941,0.25664952,0.22644763,0.20034643,0.18756628,0.18662189,0.18948013,0.19244711,0.1938927,0.19309677,0.18859367,0.18534559,0.19352172,0.21749079,0.24601083,0.2564798,0.23841645,0.20573165,0.18736345,0.19693138,0.21896136,0.22332133,0.19398004,0.14138986,0.089072295,0.05436464,0.040719107,0.044711698,0.061418343,0.08579135,0.108895086,0.12248931,0.12130328,0.10834885,0.09059471,0.07919124,0.084525906,0.113034554,0.16000277,0.21095853,0.25026646,0.273193,0.2868692,0.3023502,0.3234137,0.3444201,0.35798207,0.36211357,0.3631259,0.36305568,0.35590467,0.32679906,0.27136156,0.20228505,0.14935736,0.1375956,0.1714394,0.22940223,0.27960655,0.30000424,0.28774154,0.25642356,0.22224693,0.19879659,0.19022882,0.19670783,0.21319042,0.23577602,0.2605263,0.28589213,0.31133816,0.33335337,0.34487125,0.33571133,0.30396965,0.25939327,0.22181965,0.2062425,0.21216254,0.22373915,0.22425623,0.21089496,0.19567549,0.19176506,0.20113832,0.21474992,0.22438304,0.22589354,0.21864462,0.19837545,0.1661117,0.12847842,0.0989263,0.08410127,0.08379229,0.09447881,0.116373084,0.15070537,0.1916656,0.22631478,0.23951806,0.2257403,0.19150026,0.15548243,0.13820215,0.15361036,0.19914865,0.25878087,0.3107283,0.34181723,0.35118255,0.34631762,0.33329487,0.3117435,0.28051072,0.2429144,0.21026354,0.19339031,0.19517522,0.2076832,0.21727139,0.21471362,0.19867472,0.17795372,0.16433884,0.1676511,0.18598427,0.20791055,0.2189209,0.21612246,0.20789178,0.2069392,0.21681394,0.23306744,0.2483178,0.25788367,0.25775295,0.24587137,0.22681683,0.21422683,0.22047566,0.2445875,0.26902255,0.27451843,0.2544744,0.21973604,0.18733412,0.16831261,0.16219844,0.16176982,0.15917687,0.15098464,0.13926178,0.13397108,0.14670092,0.18382479,0.23851395,0.29642949,0.34035066,0.35506222,0.33286572,0.28537968,0.24692184,0.24855892,0.28767332,0.32103404,0.3072773,0.24422562,0.17345202,0.1378907,0.15016876,0.18943559,0.22658263,0.24340272,0.23620908,0.21247803,0.1839775,0.16323078,0.15436949,0.15373717,0.15453024,0.15456246,0.15469034,0.15321179,0.14692509,0.13813297,0.13813801,0.15833181,0.19773704,0.24083515,0.26855364,0.2721087,0.2569129,0.23566584,0.21759267,0.20522402,0.19595575,0.18881942,0.18331063,0.17983378,0.1749859,0.16611306,0.1538338,0.1476878,0.15935916,0.1917692,0.23135845,0.25596002,0.2533596,0.2272225,0.19346617,0.1654154,0.15391272,0.16293478,0.19045943,0.22392082,0.24777961,0.25201157,0.23567878,0.20483278,0.16820605,0.1388481,0.12837785,0.1419393,0.17117864,0.2015698,0.21942528,0.22020634,0.20662938,0.18746923,0.1720137,0.1663888,0.16982484,0.17643227,0.17944354,0.1757984,0.16890085,0.16705902,0.17835154,0.20272444,0.2303328,0.24670124,0.2417594,0.21643496,0.1825192,0.15975259,0.16263275,0.19251549,0.23204674,0.2620257,0.27163413,0.2676407,0.26087222,0.26084098,0.26713988,0.27381054,0.27023593,0.25029373,0.21806757,0.18741865,0.17099369,0.16939771,0.17467256,0.18118191,0.19272363,0.2140712,0.241331,0.26256362,0.26665285,0.25339177,0.23088597,0.21373688,0.21151412,0.22771992,0.25385278,0.28018534,0.29664123,0.30008665,0.28770006,0.2634136,0.23691075,0.22384346,0.23153089,0.25162053,0.2660859,0.2636582,0.24903606,0.2350987,0.2314261,0.24087544,0.2634537,0.29615602,0.32923365,0.34712136,0.34138635,0.31884903,0.29751834,0.2881756,0.28544304,0.27654353,0.2573955,0.23873456,0.23221634,0.23882215,0.24694508,0.24729316,0.24175213,0.24190898,0.2564049,0.2837145,0.3148996,0.34024358,0.3504442,0.33808956,0.30342385,0.26300403,0.23932064,0.24307287,0.26138392,0.27224037,0.26377782,0.2397613,0.21049929,0.18253957,0.16120094,0.15216282,0.15960027,0.17658818,0.1893288,0.1891899,0.19061522,0.21937506,0.29285428,0.3923478,0.47979224,0.5177527,0.50139296,0.44563413,0.37499297,0.30205867,0.23382604,0.17486791,0.1334612,0.116606385,0.123282336,0.14100032,0.15362144,0.152732,0.14619792,0.14711851,0.16242121,0.18544103,0.20550866,0.21684913,0.2190776,0.21536843,0.20743553,0.2014702,0.20222862,0.21322091,0.22725749,0.23641098,0.23666339,0.23516344,0.23732497,0.23996635,0.23299153,0.21321814,0.18965144,0.17272902,0.16538094,0.16216452,0.1630166,0.17391773,0.20178711,0.24263947,0.2855632,0.32004586,0.34269848,0.3531686,0.35227314,0.34074166,0.3226721,0.29925168,0.27133912,0.23953791,0.21568054,0.21245827,0.23629291,0.27475595,0.31046724,0.32977107,0.331004,0.3164104,0.28945783,0.25521493,0.22122167,0.19742467,0.1908741,0.2047226,0.23306112,0.26064566,0.26918158,0.24848007,0.20678979,0.16340202,0.13853268,0.13930802,0.16052882,0.18747091,0.20788024,0.21702321,0.21964729,0.22013384,0.21994705,0.21736939,0.2137149,0.21269421,0.21927185,0.23599017,0.25824213,0.27457523,0.27625552,0.26932788,0.2703754,0.28875467,0.3156242,0.3344053,0.3370097,0.32863975,0.3184996,0.31061733,0.3013334,0.28305444,0.25247684,0.21508344,0.18302643,0.16483027,0.15984894,0.16261382,0.16858977,0.17853148,0.19006598,0.2009341,0.20544438,0.20798624,0.2134851,0.23009257,0.2528992,0.2740927,0.2824311,0.27534136,0.25377318,0.22255076,0.18980785,0.16812278,0.16984202,0.1952538,0.22853887,0.2478774,0.24227095,0.21921124,0.19428764,0.18012385,0.18201001,0.20211037,0.2392608,0.28560582,0.3277615,0.35292602,0.3575766,0.34573093,0.32500675,0.29752442,0.26380354,0.22460784,0.1882333,0.16153903,0.14714076,0.13928865,0.13505216,0.13776273,0.15451455,0.18485112,0.21652706,0.23525546,0.23546104,0.2258203,0.21779115,0.2181092,0.22329386,0.22799446,0.23057123,0.23753183,0.256398,0.28718972,0.31813535,0.3343319,0.32823744,0.30772778,0.28764144,0.28185943,0.28770363,0.29254004,0.2800775,0.250931,0.21891277,0.20250325,0.207346,0.22409491,0.23855336,0.24010529,0.23070614,0.21849518,0.2175036,0.23463713,0.266449,0.29413122,0.29676428,0.26448056,0.2089955,0.15439987,0.12259263,0.120112084,0.14062542,0.17030047,0.19796753,0.21784578,0.23458771,0.256099,0.28734884,0.3217579,0.34665796,0.3513209,0.3356088,0.30906263,0.28552696,0.27419913,0.27585158,0.28232482,0.28395626,0.27374223,0.2546855,0.23569824,0.22831018,0.23190977,0.23559697,0.22401595,0.19592808,0.16326179,0.14592941,0.15698604,0.20104663,0.26517925,0.32557657,0.35634348,0.35770658,0.35506555,0.37905204,0.43003193,0.4773182,0.48661315,0.45271325,0.40142635,0.36444458,0.35068992,0.34437522,0.32501027,0.2935443,0.27253762,0.2869197,0.33893394,0.40673515,0.46132278,0.48420468,0.4732273,0.43177736,0.37024045,0.30096152,0.24599443,0.21758895,0.21628298,0.22477347,0.22981586,0.22648807,0.2198369,0.21391113,0.21421087,0.22644156,0.2550751,0.29170862,0.32210752,0.33156043,0.32000196,0.29302147,0.26330572,0.24140902,0.23806433,0.2528875,0.2735288,0.2829421,0.27463496,0.25814888,0.24759841,0.2499675,0.26281855,0.2811704,0.3015704,0.32035396,0.33428207,0.33988705,0.33381066,0.30971578,0.26537472,0.20714702,0.15224427,0.11727869,0.1113137,0.13146031,0.16697347,0.2067027,0.24599552,0.28838548,0.335712,0.38211355,0.4173242,0.43638062,0.44280896,0.43809596,0.41917184,0.3815886,0.33327135,0.2915429,0.2728938,0.27946997,0.29937288,0.31609368,0.32113385,0.31730115,0.31527826,0.31986627,0.32817444,0.32892975,0.31778264,0.29632092,0.27612984,0.26368138,0.263104,0.26887593,0.27866057,0.28697845,0.29239345,0.2901111,0.2836121,0.27996954,0.2900337,0.3109915,0.33114865,0.3327532,0.31441355,0.28365442,0.2584618,0.24604161,0.24988,0.26083598,0.26971912,0.2652938,0.24742955,0.22266352,0.20229727,0.19286,0.19839336,0.22068024,0.25757766,0.29976997,0.3324895,0.34627986,0.34078157,0.32498416,0.3060123,0.28728327,0.2667955,0.24563108,0.22578372,0.21141338,0.2016825,0.19452298,0.18612212,0.17525072,0.16321182,0.15428561,0.15832609,0.18277474,0.22905628,0.28126618,0.32177436,0.33694723,0.33275595,0.31708333,0.2976335,0.2702776,0.23676364,0.20602508,0.19872667,0.22686605,0.2853782,0.35039774,0.39867342,0.4203415,0.41986266,0.40504,0.37876758,0.34249625,0.3013536,0.26559204,0.2425059,0.23138954,0.22632527,0.22638096,0.2368232,0.2646402,0.3039575,0.34140292,0.35872138,0.35373223,0.33435225,0.32057038,0.32192793,0.33968115,0.36026323,0.37063417,0.35959122,0.3280989,0.28769812,0.25679,0.24978416,0.2669958,0.29831946,0.32787552,0.34456217,0.34145436,0.3198781,0.28887686,0.26314506,0.2545962,0.26355708,0.27918878,0.2887189,0.28592524,0.27601027,0.26639962,0.26456663,0.27048293,0.28411543,0.3033855,0.32652912,0.34626374,0.35420153,0.3467534,0.3304754,0.3150744,0.30432948,0.29484448,0.2824421,0.27055767,0.26399168,0.26497582,0.26504707,0.25529942,0.23273766,0.20778883,0.19418924,0.19851054,0.21616651,0.2419715,0.27847323,0.33198783,0.4002417,0.46700847,0.51158684,0.5207766,0.4964359,0.45130196,0.3995106,0.35063028,0.30816624,0.28042388,0.27825034,0.31034422,0.36518753,0.415453,0.4305503,0.40118167,0.34252033,0.28491315,0.25039077,0.24387275,0.25252256,0.2609494,0.2591212,0.24952583,0.24018335,0.23606014,0.23148741,0.21596713,0.1894542,0.16766375,0.17337094,0.21221392,0.27153936,0.32534182,0.36153516,0.3749857,0.37339032,0.35927033,0.3428721,0.3316321,0.33489695,0.35323068,0.38272166,0.41109833,0.42763722,0.42637935,0.41613856,0.40423524,0.39333817,0.37762818,0.3613186,0.35302767,0.3563477,0.35799852,0.34252095,0.30644557,0.26744714,0.24930288,0.26692602,0.30839765,0.3469268,0.35871756,0.34694782,0.32643744,0.3085084,0.28976804,0.2739918,0.2743275,0.29865804,0.32946754,0.33815715,0.3181512,0.29293323,0.28885597,0.30264473,0.30448183,0.27155098,0.2091809,0.14674439,0.10691432,0.09386981,0.09284101,0.09095034,0.08350423,0.076864935,0.07698008,0.0866586,0.1009483,0.11380768,0.12004688,0.124479495,0.13684642,0.16821474,0.21625178,0.26596263,0.29354596,0.28507915,0.24628817,0.20284869,0.18087268,0.18897016,0.2137904,0.23703389,0.25219524,0.2669045,0.28993496,0.31737435,0.33442354,0.32596925,0.29284984,0.25058502,0.2188748,0.20374876,0.19779861,0.19025004,0.17879589,0.16741906,0.15863262,0.15371448,0.15927136,0.1924051,0.26680216,0.37561658,0.48490277,0.5541684,0.5635469,0.52552885,0.4700472,0.4199953,0.3779358,0.33498693,0.2887699,0.25368878,0.24854624,0.27697456,0.32031932,0.3520852,0.35788026,0.33969662,0.31040797,0.2835916,0.2697761,0.26975837,0.2724019,0.26300868,0.23794264,0.21344501,0.21100108,0.23856926,0.28160167,0.31849083,0.33725598,0.33931556,0.32874998,0.30600634,0.27353022,0.24394059,0.23524295,0.25676343,0.29952398,0.3439068,0.3737117,0.38616773,0.3855004,0.37584817,0.35338092,0.3176088,0.27626023,0.25093383,0.2592634,0.30271694,0.36123702,0.4067595,0.42159095,0.40369928,0.3651599,0.320694,0.2870332,0.27661324,0.29294392,0.3223112,0.34052822,0.3280935,0.2861465,0.23509745,0.19994693,0.19112186,0.19928719,0.20402431,0.192789,0.1693592,0.15365578,0.1636372,0.2035472,0.254148,0.28961253,0.2944812,0.27817538,0.2619865,0.2598058,0.26784685,0.27039585,0.2579737,0.23325557,0.21234088,0.20712626,0.218471,0.23442884,0.2474695,0.25853407,0.27338877,0.28883752,0.29673338,0.29033056,0.2722267,0.24730547,0.22125882,0.19906767,0.19014764,0.20012023,0.22649188,0.2531159,0.2645372,0.25304908,0.22690499,0.20103268,0.1904788,0.2007037,0.225595,0.25190434,0.26666367,0.26490775,0.25112566,0.23748593,0.2384621,0.25991789,0.29636967,0.33041632,0.34791443,0.34011114,0.31303886,0.2801219,0.2669358,0.2887306,0.34430352,0.4015739,0.43007788,0.41255033,0.36355534,0.30236408,0.24976088,0.21664275,0.21445656,0.24695821,0.30704,0.37583184,0.42988372,0.45393106,0.444376,0.41325164,0.37650764,0.3476762,0.32834855,0.31375548,0.29479757,0.2665595,0.23015036,0.19772093,0.1808974,0.183838,0.19575077,0.20768015,0.2141108,0.21603857,0.2065771,0.18255048,0.14948742,0.12870224,0.13849878,0.18274327,0.243739,0.2966601,0.3210998,0.31584808,0.29302546,0.27101457,0.258244,0.2565104,0.26536098,0.28760508,0.3196616,0.3477207,0.35324726,0.3293357,0.28391334,0.23569489,0.20087254,0.19137341,0.21027096,0.25263885,0.30151606,0.33370078,0.3317527,0.29819337,0.2574231,0.23785205,0.24982262,0.2780578,0.3000617,0.30876812,0.31607977,0.33489552,0.36181512,0.3828007,0.3873485,0.3776035,0.35899046,0.33256975,0.2943967,0.24207781,0.18224776,0.12925312,0.103185326,0.11635336,0.16811164,0.23889506,0.30396426,0.3413948,0.345294,0.3208673,0.28268543,0.24291869,0.20828812,0.17929894,0.1580829,0.15181942,0.16477388,0.18969834,0.21045853,0.22127514,0.23454408,0.2698966,0.3298507,0.39581275,0.4407513,0.44900545,0.41900906,0.3613368,0.29391372,0.24132563,0.22400193,0.24603744,0.29026344,0.3290073,0.34158298,0.32239792,0.28201854,0.23894171,0.21268266,0.21287768,0.2348469,0.26488468,0.29113427,0.31094673,0.32506132,0.3310062,0.32167605,0.29300976,0.24929531,0.20297821,0.16884904,0.15768142,0.16996436,0.19531286,0.21851282,0.22963528,0.2284311,0.22259504,0.22195525,0.23374003,0.25669324,0.27985477,0.28886238,0.2774991,0.25474963,0.23750935,0.23783295,0.25117618,0.26128665,0.25336674,0.22938967,0.20757924,0.2072748,0.23188114,0.26606932,0.2933711,0.31051263,0.32939485,0.357511,0.38920864,0.4047203,0.38898006,0.34018835,0.27794614,0.22998035,0.21806194,0.23949404,0.27404603,0.2995762,0.3101319,0.3112282,0.31030223,0.31016007,0.31266055,0.31780696,0.31936094,0.3075107,0.2807216,0.2533191,0.24227984,0.2503392,0.26092803,0.2563395,0.23061307,0.19295955,0.15699388,0.13603882,0.13921526,0.1683526,0.21502914,0.26163968,0.2924092,0.30220485,0.2994722,0.29810092,0.30548653,0.32087335,0.3336853,0.33470622,0.31574777,0.2826786,0.24773031,0.22766753,0.22365284,0.22833282,0.23064773,0.23426841,0.24603371,0.26816523,0.28893134,0.29804417,0.29687998,0.29795337,0.3097761,0.32772836,0.33866,0.33527553,0.32127106,0.30782846,0.29842064,0.290995,0.28220412,0.28010216,0.2915826,0.3145806,0.33394966,0.33851513,0.3280926,0.30873045,0.28232238,0.24810578,0.2125628,0.19038862,0.19387726,0.22110999,0.25864735,0.29011926,0.30516312,0.2985455,0.27601027,0.25247374,0.24910407,0.2754492,0.32405654,0.3756678,0.41342518,0.43145895,0.42974985,0.4145037,0.39172152,0.37190926,0.35562292,0.3372152,0.30171445,0.24881275,0.19005217,0.14949892,0.13837385,0.15308659,0.17676707,0.19698364,0.21635665,0.24381518,0.2853802,0.32770982,0.35777736,0.3647153,0.35573378,0.33301425,0.3031932,0.2683328,0.24330874,0.23485035,0.24112205,0.24118394,0.21982245,0.17380677,0.11949795,0.07509305,0.055932578,0.06856876,0.11351842,0.1807441,0.24878375,0.29112458,0.2924088,0.25951052,0.22060947,0.20422135,0.22283597,0.26467112,0.30562124,0.32165742,0.29928163,0.2416001,0.16668706,0.10190788,0.070426606,0.085279144,0.14424956,0.22875993,0.30551425,0.34110498,0.32334843,0.27056286,0.21915215,0.19589108,0.20106328,0.21216582,0.20793784,0.18818949,0.17378597,0.18331774,0.21247274,0.23436047,0.22478098,0.1810195,0.12294469,0.07286828,0.04403155,0.039579242,0.06182283,0.11208477,0.18464117,0.2617388,0.3179469,0.33356407,0.3034886,0.24208267,0.17281687,0.11833181,0.08788467,0.07943666,0.08537225,0.10159814,0.12766661,0.16244034,0.20036525,0.2345724,0.26128462,0.28023282,0.28765416,0.27882537,0.25376943,0.22735722,0.21873324,0.23797321,0.27536884,0.31009167,0.32645974,0.32207534,0.3075181,0.29379854,0.28687325,0.28240308,0.27290866,0.25541896,0.23676692,0.22895892,0.23558547,0.24886529,0.25361118,0.24409507,0.22625245,0.21476418,0.21851574,0.23822315,0.26759553,0.3008643,0.3336543,0.36114383,0.37877035,0.3825543,0.3759813,0.36345324,0.35031852,0.33230725,0.3047255,0.26390222,0.21826567,0.18323177,0.17829292,0.21272969,0.27772233,0.34486052,0.382234,0.37566867,0.33708295,0.2961302,0.27586353,0.28176025,0.29945534,0.31209317,0.31166017,0.30502638,0.30392316,0.31239077,0.3233187,0.32711014,0.3252994,0.32878515,0.3484322,0.3804233,0.41309753,0.43423054,0.44381782,0.44472018,0.43973243,0.42594585,0.40437865,0.38158345,0.3726013,0.3909092,0.44104353,0.5077613,0.56509113,0.5891059,0.573328,0.5232724,0.4494526,0.3639157,0.28646472,0.23988818,0.23409875,0.2551503,0.27615654,0.28084114,0.27234182,0.26055542,0.24723917,0.2259766,0.19711559,0.1711582,0.16288634,0.17464735,0.19567579,0.20936097,0.2100267,0.20430182,0.20197435,0.203173,0.20115769,0.1962152,0.19975054,0.22605331,0.2733866,0.3255366,0.36006972,0.36757016,0.3510516,0.32158807,0.28532377,0.24523024,0.20468445,0.17227428,0.15421997,0.14985834,0.15422034,0.1669449,0.19122763,0.22227788,0.24428757,0.2406628,0.213585,0.18096566,0.16374032,0.16680194,0.18563332,0.21335709,0.24861693,0.28424463,0.3078802,0.3074954,0.2880886,0.26645064,0.25953996,0.2654294,0.26884916,0.2526287,0.21627988,0.17384164,0.14714901,0.15113477,0.1904055,0.25423652,0.32206646,0.36963415,0.38536465,0.37372395,0.3520504,0.33262992,0.31726763,0.29879394,0.27589285,0.25644925,0.25185704,0.2629787,0.2788025,0.28405094,0.27227062,0.24814974,0.22757427,0.2276165,0.25884497,0.31311443,0.36817458,0.3982973,0.3915998,0.35377717,0.3034264,0.25993606,0.23416014,0.22527409,0.22775732,0.23821907,0.25829327,0.2842876,0.3042276,0.30205822,0.27469596,0.23756383,0.2132423,0.21300252,0.22739892,0.24281068,0.25507152,0.27572563,0.3106278,0.35170093,0.37882146,0.38325742,0.3731459,0.3649861,0.36484563,0.36608592,0.3604857,0.34997928,0.34372684,0.34913862,0.36129737,0.37038788,0.36482537,0.34799984,0.33123878,0.33522144,0.36782292,0.4235215,0.48162952,0.5219721,0.53313637,0.513708,0.47311008,0.42443454,0.38037452,0.34239373,0.30333444,0.2588129,0.21628714,0.19330823,0.19708276,0.21865557,0.23341782,0.225083,0.1904328,0.14499748,0.10830441,0.10225182,0.13850315,0.21475033,0.3079772,0.3847973,0.41459635,0.38608837,0.3113974,0.22411902,0.16295826,0.15379441,0.19471645,0.25910804,0.31168148,0.3275346,0.3039022,0.25977114,0.22266002,0.21038711,0.21909487,0.2307932,0.22946544,0.21300709,0.19044286,0.17298299,0.16779925,0.17477632,0.18809909,0.19859709,0.20260744,0.20321351,0.20845175,0.21997833,0.2327944,0.23781002,0.23174854,0.21667784,0.19736044,0.17628849,0.15642303,0.14449538,0.14826079,0.16838108,0.19457906,0.2160846,0.23016262,0.24291253,0.25487235,0.2627939,0.2645866,0.27293813,0.29852775,0.33974206,0.3725544,0.37660155,0.34878513,0.30890676,0.27710405,0.26183036,0.2578365,0.2573513,0.25630736,0.25719073,0.26255015,0.27343795,0.28173813,0.283438,0.27688876,0.2738909,0.27731028,0.28544798,0.28385136,0.27174494,0.26119983,0.27375385,0.3139676,0.36020672,0.38038722,0.35657907,0.30098847,0.24055366,0.19863726,0.18162191,0.18589373,0.20604873,0.23959391,0.2807823,0.31754485,0.33737087,0.33879414,0.33392742,0.33306596,0.33361426,0.3232067,0.30049062,0.27845025,0.27484414,0.29276133,0.32402372,0.355199,0.37666368,0.37856424,0.35464263,0.30866244,0.25877663,0.22693329,0.22318743,0.23669545,0.2476391,0.24201985,0.22384052,0.20594408,0.20023966,0.20812766,0.22429173,0.23954844,0.24716382,0.24573122,0.24454133,0.25496778,0.28018138,0.30638817,0.31734693,0.30934587,0.2945162,0.2843468,0.27854905,0.27258524,0.2682868,0.27388367,0.28906235,0.30342007,0.30626297,0.29993924,0.29777968,0.31132045,0.34228244,0.38155207,0.4186308,0.44519135,0.4571924,0.45053557,0.42193052,0.37196085,0.30827948,0.24514031,0.1964519,0.1708898,0.16729045,0.1796596,0.20049869,0.22492845,0.24762349,0.2630451,0.26833215,0.2682812,0.2740196,0.29415086,0.32376894,0.34495303,0.33698693,0.2963738,0.24088635,0.20355062,0.20811586,0.25453004,0.31906727,0.3729918,0.40353703,0.41289496,0.4117172,0.40449274,0.39506617,0.38049042,0.35751367,0.32205054,0.28457054,0.26321876,0.27295235,0.30831423,0.3509296,0.381384,0.390403,0.37829685,0.35392466,0.33271337,0.32784346,0.34234682,0.365281,0.3828938,0.38803867,0.3849127,0.38371822,0.38977945,0.39686072,0.38808033,0.35160208,0.2926932,0.2332068,0.19523214,0.18752743,0.20279454,0.22474796,0.23691887,0.23054494,0.21294868,0.20269825,0.21906729,0.26162377,0.31080404,0.33873525,0.32969657,0.28871608,0.23460639,0.19185811,0.17597723,0.19172937,0.2257555,0.25712737,0.2674686,0.25583354,0.23746544,0.22996809,0.24014623,0.25811204,0.2704365,0.27163824,0.27186155,0.2866119,0.32205763,0.36761972,0.40222597,0.4112129,0.3959734,0.37199822,0.35260546,0.33735248,0.31379816,0.2757336,0.2321312,0.19982524,0.18480493,0.17927986,0.17536213,0.17621501,0.19415307,0.23409896,0.29103684,0.3511707,0.404799,0.44408575,0.4650562,0.46484435,0.44915628,0.43036497,0.41863582,0.4099013,0.38862133,0.34623942,0.29312924,0.25102523,0.23040296,0.22390868,0.21739893,0.2090968,0.20773381,0.22092772,0.24269982,0.25957647,0.2613323,0.24775368,0.22667097,0.20738126,0.19884674,0.20425783,0.21982424,0.23344041,0.2347468,0.22418791,0.21250702,0.21054065,0.21601062,0.22152407,0.22114144,0.22159357,0.22618492,0.23272024,0.23074114,0.21977194,0.20971568,0.21280134,0.23010592,0.24905853,0.25754693,0.24966033,0.2318998,0.21112625,0.19489227,0.1843978,0.18027443,0.17940702,0.1791537,0.17749624,0.17854005,0.18845381,0.21100028,0.23882174,0.26143578,0.2720987,0.2774757,0.2877537,0.3072506,0.32732666,0.3335998,0.3190316,0.28963116,0.26305214,0.25427508,0.26781714,0.2924945,0.31257394,0.31526408,0.30027375,0.27524355,0.25514773,0.25208107,0.27138773,0.30442536,0.3354536,0.34939602,0.3405241,0.3129795,0.2804626,0.26008332,0.26494238,0.29187855,0.3262687,0.34848818,0.34938905,0.3283237,0.29463992,0.2619387,0.2456947,0.25629595,0.29141724,0.33887282,0.3820584,0.4131447,0.43100533,0.43867233,0.43773916,0.43158913,0.4277505,0.43036917,0.43621063,0.43165097,0.4037777,0.34731612,0.27043125,0.1943041,0.14541677,0.14484034,0.19620343,0.28163972,0.37157527,0.4365234,0.46423444,0.4575251,0.42979172,0.38979387,0.3384894,0.2766252,0.21424432,0.17714642,0.1878978,0.25048605,0.33641815,0.4069432,0.43708768,0.43563685,0.42864898,0.43533084,0.45109022,0.45739046,0.43930742,0.39347443,0.32626382,0.24676873,0.16879332,0.10686166,0.074528195,0.07764218,0.11506448,0.17859511,0.25279573,0.31944165,0.36516288,0.39078245,0.40553924,0.4142151,0.40887916,0.37812737,0.32406923,0.26705256,0.2325914,0.23166126,0.25297102,0.2749723,0.28463808,0.28879783,0.3029925,0.3339788,0.36943653,0.3893478,0.38285843,0.35226366,0.3070683,0.25210705,0.19450855,0.1423516,0.108395316,0.09528937,0.10032461,0.1162067,0.14279748,0.17634036,0.20944498,0.23050028,0.24143773,0.25131893,0.26655027,0.2776716,0.27594933,0.26418334,0.25733146,0.26245204,0.27639,0.28971764,0.29808298,0.29818186,0.29115272,0.28220713,0.28157374,0.2932574,0.31175432,0.32522884,0.324896,0.3098681,0.28686094,0.26864696,0.26439068,0.27441952,0.28717968,0.28938103,0.27535266,0.25203237,0.23599912,0.24033916,0.2655295,0.2965515,0.31759444,0.32338524,0.32178387,0.3201636,0.3181518,0.3085449,0.28997374,0.27124226,0.26604438,0.28216565,0.3128829,0.3443936,0.3616524,0.3612859,0.34613898,0.32523426,0.30365524,0.28523758,0.26914713,0.25287315,0.23232359,0.20799072,0.18852855,0.18625885,0.20721348,0.24262553,0.27557465,0.29092625,0.2882432,0.27803734,0.2763351,0.2867887,0.3005949,0.30192494,0.28840515,0.26967922,0.25829393,0.25363046,0.25171313,0.24954553,0.25143418,0.25351763,0.2521127,0.24721801,0.24967854,0.2650286,0.28340244,0.28857598,0.27461538,0.25718576,0.25738275,0.28369462,0.32272723,0.34817314,0.3424072,0.30668584,0.26457012,0.23980813,0.24161994,0.25640067,0.26849362,0.27695736,0.2954674,0.3289833,0.36110893,0.36714354,0.3433524,0.31048632,0.294973,0.29712078,0.29804635,0.27800933,0.24563073,0.22533303,0.23930275,0.28188944,0.3291993,0.35574356,0.3531797,0.32666662,0.28614497,0.24229501,0.20892097,0.2002306,0.21964693,0.2566292,0.29409543,0.32325304,0.34254715,0.353586,0.35315552,0.3402698,0.3158612,0.28578806,0.25628933,0.23718499,0.23540784,0.249686,0.2669959,0.27396664,0.26707244,0.25379127,0.24522555,0.24788149,0.26148438,0.27472928,0.27367696,0.25081727,0.21772538,0.19384827,0.19132727,0.20233344,0.21055299,0.20744628,0.19984497,0.20061417,0.21448798,0.23498285,0.2501266,0.25346678,0.24714465,0.24013172,0.23941131,0.2424876,0.23965336,0.22381957,0.2033627,0.19485061,0.2116095,0.2493224,0.2941439,0.330411,0.3513132,0.3565798,0.35162905,0.34127092,0.32614613,0.3022981,0.26618087,0.22477776,0.19554494,0.20190096,0.25278866,0.3343391,0.41297922,0.46077958,0.4732505,0.46739766,0.46364614,0.4692479,0.47819433,0.47958732,0.4691453,0.45042458,0.42866173,0.40082934,0.36115965,0.31148705,0.27088782,0.25914705,0.28314105,0.32919705,0.38132146,0.42971337,0.47223225,0.50452644,0.518879,0.5091028,0.47173703,0.4101611,0.33465233,0.26945898,0.24179046,0.26565316,0.32573783,0.38646674,0.41585493,0.4033339,0.35777536,0.2956231,0.23162651,0.17868097,0.1448413,0.13328125,0.13887973,0.15311134,0.16669168,0.17353965,0.17124851,0.16325583,0.16292131,0.18580453,0.23659424,0.29579613,0.33646938,0.3454294,0.33543387,0.3235614,0.31520203,0.30254063,0.28234088,0.2574166,0.23257025,0.20760061,0.18919355,0.18899667,0.21912241,0.27285329,0.33164632,0.37311074,0.38691577,0.37157783,0.3336433,0.28645948,0.24868126,0.23482789,0.24413745,0.2629865,0.27822044,0.28568116,0.28680184,0.27961025,0.26221424,0.23745434,0.21463127,0.19847792,0.18649559,0.17402577,0.16430068,0.16639484,0.18444394,0.2130454,0.24260612,0.27112585,0.30058125,0.33129907,0.35400984,0.35937536,0.34252885,0.31086615,0.28038523,0.27280667,0.30092588,0.35806665,0.41738936,0.44900236,0.43838024,0.39131126,0.32786644,0.26738787,0.22443907,0.20125657,0.19538285,0.1974865,0.1995113,0.19284332,0.17640232,0.1590866,0.15912001,0.19090925,0.25114217,0.31514886,0.3537761,0.35495925,0.336647,0.32851112,0.34680918,0.37610212,0.3901452,0.37622404,0.35162148,0.3413404,0.35756585,0.3873817,0.40992674,0.41298723,0.4023011,0.3895241,0.379217,0.3618878,0.33012208,0.29023108,0.26613697,0.2737346,0.30482998,0.32761267,0.31723523,0.27858278,0.24054618,0.22755043,0.23549037,0.24195749,0.23035955,0.209381,0.2006286,0.21747012,0.25041983,0.27931777,0.28948566,0.28225026,0.26412067,0.24228023,0.22084735,0.20920295,0.21292879,0.22945578,0.24362493,0.24365395,0.23127735,0.22258328,0.23180878,0.2573595,0.28246158,0.28897485,0.2729179,0.24498089,0.22303717,0.21797867,0.2305754,0.24917527,0.26136163,0.25652018,0.23512477,0.2032268,0.17551754,0.16495347,0.17703803,0.20220816,0.22241324,0.22463107,0.208552,0.18720953,0.17568772,0.18402632,0.20930354,0.23851864,0.25492823,0.24961789,0.22686674,0.2011161,0.18637241,0.18587862,0.19178905,0.19312258,0.18941689,0.19221444,0.21611743,0.26064554,0.30745137,0.33200338,0.32272592,0.28606987,0.23865713,0.19813997,0.1782854,0.1883048,0.22485133,0.2700806,0.29626647,0.2852375,0.24222618,0.19243555,0.16195107,0.15682484,0.16658197,0.17760785,0.19003879,0.21023624,0.24072891,0.27311948,0.2994691,0.3191221,0.33718005,0.35273805,0.35781214,0.34342062,0.31074798,0.26994243,0.23555897,0.21719913,0.22013366,0.24284041,0.279381,0.31549692,0.33958855,0.34760463,0.3473707,0.34418818,0.33972755,0.33551276,0.33994737,0.35542646,0.3708719,0.36796436,0.34323847,0.31021354,0.28424767,0.26409772,0.23603733,0.19321258,0.14814796,0.1276599,0.15239899,0.22242849,0.31506726,0.39861894,0.4495803,0.4648737,0.4590646,0.4502081,0.4466876,0.4449217,0.43907997,0.42608163,0.40622067,0.37769648,0.3420014,0.30888274,0.29661313,0.31506965,0.3547722,0.3892175,0.39870155,0.3791194,0.34017646,0.2875224,0.22488017,0.15772673,0.101526886,0.07258827,0.07934726,0.11259937,0.15167312,0.17510198,0.17495112,0.15555626,0.12595089,0.09419182,0.06899561,0.06291775,0.083013184,0.124414295,0.16982727,0.20309429,0.21836294,0.22181499,0.22584628,0.242943,0.27802262,0.32519892,0.37020394,0.40096036,0.4120076,0.40060672,0.36317694,0.30054727,0.22935808,0.18011479,0.17848986,0.22637321,0.29710892,0.35791087,0.38559362,0.37993553,0.3522347,0.32200938,0.30284473,0.29865488,0.30105105,0.29878676,0.28752613,0.26630634,0.23853983,0.20911723,0.19519477,0.21089554,0.2544683,0.29837146,0.31119132,0.28429928,0.23590158,0.19676177,0.18485214,0.20158489,0.23244445,0.25915363,0.2726989,0.27853522,0.29245487,0.32001793,0.35595563,0.38722932,0.40907657,0.41895112,0.41596198,0.39315566,0.3485718,0.28676543,0.22576217,0.18378557,0.17078923,0.18188518,0.20569833,0.23546779,0.26736048,0.30037618,0.32805794,0.3457518,0.34816238,0.33624914,0.31404898,0.28871253,0.26490784,0.24453966,0.2285894,0.21961914,0.21923818,0.22502707,0.22880119,0.22302191,0.20703477,0.19295084,0.19749649,0.22966336,0.27784118,0.31577763,0.32080087,0.29217467,0.25239375,0.22762375,0.22986345,0.24939047,0.27277717,0.29155874,0.30867663,0.32275453,0.33200476,0.3326694,0.32625595,0.31099996,0.28394288,0.2505025,0.2297088,0.2426868,0.28960773,0.34427693,0.37438092,0.36383972,0.32325888,0.27447045,0.24066953,0.23427479,0.25711825,0.29381314,0.32044384,0.3164922,0.28349563,0.24243838,0.2190638,0.22506098,0.25276092,0.28534952,0.3061296,0.3087822,0.29288375,0.26332927,0.22507954,0.18812917,0.16705738,0.17524962,0.21427555,0.26894408,0.31674847,0.33869672,0.3301244,0.29939684,0.26509452,0.24461895,0.24429454,0.2545618,0.2583203,0.24708015,0.2282529,0.21818127,0.22635084,0.24998808,0.27944228,0.30735216,0.327276,0.332729,0.31776205,0.2881993,0.2609672,0.25535598,0.2759084,0.3083943,0.3319284,0.33271495,0.31258062,0.27912557,0.24241225,0.21035935,0.19523056,0.20397376,0.2343508,0.27049926,0.3034264,0.33212066,0.3620402,0.3827293,0.38238156,0.356957,0.32328436,0.29586533,0.27831483,0.2648553,0.25792566,0.26794454,0.300517,0.34625098,0.38786766,0.4133004,0.41968217,0.41004917,0.38900748,0.36421514,0.33896485,0.31212664,0.28060177,0.25047323,0.23280483,0.2304915,0.23613589,0.23874627,0.24037851,0.2463241,0.26038647,0.27255476,0.2724924,0.2548882,0.22837442,0.2037869,0.18917803,0.18434848,0.19204825,0.21200109,0.23948956,0.25809583,0.2605687,0.25381935,0.25638473,0.27190575,0.2870108,0.2806679,0.24865633,0.20520544,0.17373143,0.16755821,0.18273683,0.20399398,0.21450293,0.20852064,0.19219683,0.18227895,0.19181634,0.22146483,0.26004133,0.29559693,0.324037,0.3452612,0.3587818,0.3619736,0.3542497,0.33669794,0.31111157,0.28132668,0.25613278,0.24856068,0.2664791,0.30653659,0.35356343,0.39075494,0.40665424,0.39856288,0.37166318,0.33403292,0.29598263,0.26292875,0.23828427,0.21786076,0.19889563,0.18290186,0.18224962,0.20775212,0.25439143,0.30089608,0.3267428,0.3336713,0.33696306,0.3484907,0.35862592,0.35008016,0.3129507,0.25713423,0.20377266,0.1711504,0.16514696,0.17857687,0.2014953,0.22317886,0.23628896,0.2346857,0.22465867,0.21852382,0.22906987,0.24963622,0.2666663,0.26746142,0.25899026,0.24987055,0.24457026,0.23295909,0.20884527,0.17441724,0.14201085,0.12243598,0.12298902,0.14704643,0.19129096,0.24148865,0.27683017,0.28718936,0.28085828,0.2779925,0.2875199,0.3034841,0.31280133,0.3120878,0.3065716,0.2999603,0.29384273,0.2881752,0.291579,0.305522,0.32427153,0.33004293,0.31618086,0.29189178,0.27639833,0.27683893,0.28112492,0.27614936,0.26486143,0.2674447,0.29541197,0.34096977,0.38075912,0.40042564,0.39945498,0.39161578,0.3865789,0.3885269,0.39015427,0.38645756,0.37486795,0.36052135,0.34501362,0.3263054,0.29814294,0.26166686,0.2288667,0.21950805,0.24577653,0.30008987,0.35577288,0.38133463,0.36173192,0.30591387,0.24350755,0.20006691,0.1846035,0.18230146,0.17879157,0.17044611,0.17206287,0.19295846,0.22926056,0.2603852,0.27252877,0.26762274,0.26476207,0.27788165,0.30403873,0.3263284,0.33417,0.33253542,0.33066174,0.3263687,0.30703714,0.26741746,0.22173125,0.19449078,0.20018472,0.22821109,0.25349584,0.25880536,0.25236425,0.25566778,0.27782544,0.30591676,0.3165551,0.3022518,0.26853582,0.23397553,0.21181832,0.21891183,0.26048762,0.33443645,0.4202342,0.49640608,0.54380673,0.55655885,0.536163,0.4931234,0.4449387,0.40998605,0.39745274,0.4001663,0.40483811,0.4032737,0.3971769,0.39174485,0.3901875,0.39476904,0.4056835,0.42162368,0.43460807,0.4325149,0.40062967,0.3349793,0.25118962,0.18430442,0.16934757,0.21700911,0.3071549,0.40022746,0.46296918,0.47602364,0.43837616,0.3583645,0.2596186,0.17365302,0.13471346,0.16026,0.2446891,0.35931095,0.4686209,0.5444422,0.57366127,0.5526856,0.48507333,0.38463247,0.28280067,0.2173251,0.2135825,0.2671115,0.35256055,0.437932,0.49863496,0.51503855,0.47783005,0.3930435,0.2914224,0.21250515,0.18377043,0.19793622,0.2237737,0.22849603,0.20510335,0.16883177,0.1434307,0.14033324,0.15900789,0.18957211,0.2209332,0.2441601,0.25786433,0.27092752,0.29428843,0.33125147,0.37210605,0.40367952,0.41866875,0.41695666,0.40081337,0.37212119,0.33704028,0.30604383,0.29092196,0.29424894,0.30625308,0.30989018,0.29825115,0.2840561,0.28946158,0.32237306,0.36488733,0.38945255,0.38047352,0.3461137,0.30316472,0.26901582,0.2518799,0.25821277,0.28491554,0.32054985,0.34770408,0.35720083,0.35291925,0.3437442,0.3361335,0.33768603,0.36296737,0.42500213,0.51398253,0.59381056,0.62456393,0.59264714,0.5185439,0.43618464,0.37578037,0.35450664,0.37886715,0.4371272,0.49951053,0.53386784,0.52356464,0.47978926,0.42182603,0.37267867,0.34015444,0.33137712,0.34175062,0.37437335,0.4279201,0.5029948,0.579921,0.63215095,0.6349923,0.5938327,0.53288287,0.4795544,0.44152474,0.41218853,0.38599136,0.36423323,0.35586634,0.36419955,0.38910428,0.41734812,0.4313494,0.41315413,0.36348045,0.29984,0.24856482,0.22581172,0.23235615,0.2578135,0.290159,0.32347593,0.35420135,0.38010833,0.3945535,0.39842704,0.39663312,0.40396455,0.42419758,0.45455715,0.47689784,0.48169246,0.46557793,0.44279444,0.42044452,0.40321806,0.38104752,0.35342452,0.31991318,0.2895675,0.26587442,0.2519733,0.24656521,0.24364252,0.23918645,0.23318213,0.23645206,0.25615922,0.29301286,0.33634564,0.37675703,0.40445682,0.41568282,0.40866208,0.39374673,0.3816643,0.3767942,0.36924586,0.35383186,0.34281147,0.35636213,0.39461753,0.43116632,0.43912458,0.4188303,0.39227667,0.37613478,0.3675437,0.35572183,0.33725515,0.31967795,0.30819187,0.30307546,0.29478708,0.27790463,0.24967323,0.2198895,0.1979097,0.19055013,0.19203098,0.19830962,0.20610964,0.2187181,0.22957702,0.23595916,0.2357745,0.23724647,0.24018383,0.23835172,0.22607754,0.20935838,0.20562625,0.2210877,0.2449141,0.252741,0.2370906,0.2146255,0.2100933,0.22830169,0.24775422,0.24623446,0.21986908,0.18510483,0.15733708,0.14197248,0.1349498,0.13280512,0.13396995,0.13876663,0.14553659,0.15259315,0.1556411,0.1531835,0.14417727,0.13258804,0.11972952,0.10676331,0.09211885,0.07676649,0.06210379,0.050083566,0.041785154,0.038549855,0.039969068,0.04364023,0.044497896,0.041057464,0.036091033,0.03706743,0.047585804,0.06687065,0.08971893,0.1113886,0.12640572,0.1282145,0.113445856,0.086150885,0.06051129,0.05185096,0.06979984,0.10766506,0.14636235,0.16182767,0.14522062,0.1075961,0.07626467,0.075134136,0.111550234,0.16958223,0.21760522,0.22793484,0.19520296,0.14298637,0.10932573,0.12684613,0.20278478,0.31415224,0.41718733,0.476257,0.48221675,0.45057926,0.3964829,0.3259554,0.24481213,0.17251976,0.13258758,0.13053113,0.1463803,0.15013437,0.12854059,0.091893755,0.06511073,0.067840844,0.10497204,0.1639419,0.22088523,0.25201222,0.2458809,0.20826793,0.15595195,0.104955524,0.065612905,0.04328996,0.04455486,0.07518215,0.13342583,0.20149314,0.25072423,0.2610538,0.23757821,0.20812924,0.19800727,0.21241443,0.23689468,0.25740057,0.2699304,0.27699733,0.27740076,0.26451352,0.23400997,0.18812548,0.13636927,0.09084288,0.06400504,0.06519723,0.09493563,0.14319555,0.19254936,0.22900648,0.24626489,0.2435755,0.22316624,0.19248062,0.16951717,0.17261791,0.20657094,0.25437376,0.2921437,0.30818036,0.30666208,0.29590282,0.27418765,0.2364883,0.18410802,0.13406618,0.10680157,0.115384184,0.15292801,0.19933277,0.2300633,0.23282318,0.21119487,0.18212049,0.16274296,0.16014503,0.1716948,0.18966247,0.21191274,0.23580736,0.25906655,0.27120757,0.2638638,0.23186253,0.1833123,0.13692863,0.11712,0.13903327,0.19647653,0.2640442,0.3108463,0.31894696,0.28802398,0.23427443,0.1815684,0.15371019,0.15968989,0.18674876,0.2081045,0.20564085,0.18361504,0.16166669,0.15365933,0.15831357,0.16286339,0.15902519,0.14813869,0.14158233,0.14887567,0.1683905,0.18647243,0.18727009,0.17054838,0.15130733,0.14977801,0.1688617,0.19283615,0.19983168,0.18599999,0.17248736,0.18965931,0.24668626,0.31692728,0.35705662,0.34691584,0.30885568,0.28564408,0.29938528,0.33287403,0.34919652,0.32389167,0.2628885,0.1955995,0.15339632,0.14922132,0.16900145,0.1857313,0.18223184,0.16714813,0.16363294,0.18609981,0.22626102,0.26655385,0.2975555,0.32374752,0.34793428,0.36906,0.38342014,0.3970131,0.41327402,0.43140754,0.4379181,0.42064008,0.37133923,0.2985064,0.22335613,0.17412728,0.16581176,0.19332254,0.23271589,0.2605184,0.264108,0.2517028,0.24044031,0.24797006,0.27551463,0.3161379,0.35631713,0.3896198,0.40379313,0.38927424,0.33609655,0.25475833,0.16619343,0.098968945,0.06920882,0.08176207,0.12563537,0.1823404,0.2293431,0.25489298,0.25711665,0.24283004,0.21476652,0.17763205,0.14092708,0.12103025,0.12787633,0.15817589,0.19666956,0.2288229,0.24581224,0.24971998,0.24583526,0.23914482,0.22641464,0.20331253,0.17474626,0.15683709,0.16615748,0.20158939,0.24655928,0.2795454,0.29083404,0.28382337,0.27025804,0.2619624,0.26372436,0.2730912,0.28019556,0.27752876,0.26198527,0.24062665,0.22058438,0.20500405,0.18701379,0.16233061,0.13802871,0.13402887,0.16379963,0.21866906,0.26647553,0.27579692,0.2373811,0.17442705,0.12430543,0.11743548,0.15680213,0.22074239,0.27600062,0.3017762,0.29844907,0.28369656,0.2710271,0.25948295,0.23590039,0.19322903,0.14148648,0.10411224,0.10144955,0.13628916,0.19130336,0.23990916,0.25919437,0.24344938,0.20676653,0.17906915,0.18658401,0.23139708,0.28572342,0.30927584,0.284187,0.22686553,0.17875159,0.16548747,0.18405102,0.20528425,0.2135572,0.21378273,0.22772704,0.25979304,0.29793668,0.32067075,0.32256424,0.31067947,0.30039665,0.29707012,0.2974281,0.28820035,0.2630347,0.2252178,0.19011171,0.1692825,0.16464888,0.17102854,0.18599892,0.21372952,0.25515497,0.30459985,0.3492814,0.3806678,0.39580664,0.39800242,0.39041767,0.37206087,0.337306,0.2809939,0.21047668,0.14708777,0.11960053,0.14253217,0.20583479,0.2738603,0.3098414,0.2977405,0.2575928,0.22603106,0.23115285,0.26787892,0.30990526,0.3277397,0.31443036,0.2834327,0.25988868,0.25944793,0.2787256,0.30187485,0.31348565,0.313885,0.30779544,0.29913476,0.28075007,0.25140986,0.2208841,0.21029715,0.23248751,0.28029707,0.33084956,0.36210325,0.3669097,0.35184574,0.32612693,0.29330447,0.25069964,0.20110299,0.1571009,0.13606416,0.14289154,0.16325231,0.17481071,0.16725557,0.15129407,0.1467983,0.16386174,0.19384532,0.21761346,0.22029185,0.20137535,0.17289186,0.15360959,0.15709688,0.18593897,0.22706771,0.2632985,0.2816172,0.28300667,0.27487406,0.267639,0.2648572,0.26420787,0.25595948,0.2326522,0.19450112,0.15346846,0.12645635,0.1265574,0.15355824,0.19253044,0.22178024,0.22921531,0.21904211,0.20767017,0.20608717,0.2152801,0.22486423,0.22462048,0.20631073,0.17089367,0.12708288,0.09188402,0.0823027,0.108415954,0.16695595,0.24052893,0.30491337,0.33883527,0.3360602,0.30398443,0.2594479,0.21893428,0.19642971,0.20064835,0.22927578,0.27119014,0.30880883,0.333709,0.34079218,0.32941937,0.2958838,0.24754524,0.20222358,0.17996967,0.18700103,0.21327384,0.2467237,0.27760932,0.30316827,0.31851318,0.32394853,0.3175421,0.29778445,0.2589976,0.20344864,0.14485957,0.10631579,0.10536326,0.14243227,0.19913249,0.24905181,0.27176246,0.26236448,0.22946937,0.19131936,0.1666355,0.16952874,0.19820674,0.23654197,0.2630347,0.26882434,0.26383194,0.26522014,0.28452802,0.31550738,0.34757805,0.3683692,0.37770474,0.3744671,0.3623955,0.34202123,0.31862316,0.2956109,0.27490875,0.2572886,0.24139784,0.22520499,0.20133428,0.16699736,0.12693526,0.09950604,0.10512217,0.15579362,0.24093108,0.33126095,0.39101145,0.40367594,0.37596765,0.33543858,0.3026779,0.28874293,0.28619173,0.28759024,0.2819197,0.26628378,0.24214762,0.22006333,0.21140651,0.2182969,0.2342797,0.24755941,0.2550937,0.25416842,0.24336642,0.21605259,0.1736846,0.12599657,0.09030787,0.08162717,0.10365345,0.14664355,0.18590747,0.2002633,0.18322001,0.15567566,0.1480423,0.18083234,0.24638861,0.3148074,0.35501716,0.35317683,0.31845152,0.2684255,0.21619,0.16626494,0.124819785,0.10596482,0.12221978,0.16972516,0.22251625,0.25408062,0.25683156,0.24950433,0.25333306,0.27469578,0.2990223,0.30785775,0.29018152,0.25004676,0.20086193,0.15971373,0.13427155,0.12054872,0.10765795,0.09336225,0.088462256,0.107721485,0.15579937,0.21752608,0.27010575,0.29559895,0.30017895,0.30288264,0.3224686,0.35730287,0.3935595,0.41634938,0.4181243,0.3956865,0.3519732,0.30177096,0.27080312,0.27636334,0.31377423,0.35651675,0.38074586,0.37779438,0.35329425,0.31253323,0.2580262,0.19742827,0.15016143,0.13713475,0.16661425,0.2229064,0.2803764,0.31383857,0.3175745,0.29847047,0.27579376,0.2617679,0.25999674,0.26146004,0.26109177,0.26127434,0.2722219,0.29551658,0.32432413,0.34460405,0.35023353,0.33782867,0.30839196,0.2620352,0.20824744,0.16652255,0.15686303,0.18628518,0.23848426,0.28911185,0.31635955,0.31612182,0.2939884,0.26068237,0.22241835,0.18128133,0.13858776,0.10046943,0.079238854,0.087693445,0.1287869,0.19192381,0.2560693,0.3025781,0.3195466,0.30593225,0.26866716,0.225312,0.19683631,0.19576688,0.21654831,0.23941696,0.24839504,0.23878981,0.21763158,0.19196089,0.1710305,0.16415496,0.17941497,0.21196695,0.24509668,0.26292518,0.2637465,0.26229477,0.27150822,0.29533044,0.32249793,0.34350607,0.34979436,0.3416574,0.31719592,0.278725,0.22813757,0.17623259,0.13742171,0.1281295,0.14985223,0.18763196,0.21706253,0.2295875,0.2351621,0.24985535,0.27120537,0.28529355,0.28259322,0.2732288,0.26867965,0.26998544,0.26485074,0.24871981,0.22656299,0.20885932,0.19837098,0.19675983,0.203764,0.21697074,0.22327286,0.20926167,0.17099607,0.1217731,0.082630284,0.07269021,0.09768324,0.14513367,0.18895184,0.20775397,0.20274667,0.1927184,0.1925934,0.19796367,0.19889049,0.1982962,0.21410348,0.2565196,0.3143448,0.35939643,0.36783084,0.33446178,0.27648553,0.22733855,0.21732877,0.25777674,0.32734537,0.39222476,0.42330027,0.41928795,0.39260074,0.36034337,0.32588097,0.28831556,0.249097,0.22193341,0.22096567,0.24824953,0.28620383,0.31078586,0.30440804,0.26793712,0.21720307,0.17961746,0.17732762,0.21617186,0.28008494,0.34482518,0.39083242,0.41048956,0.40448412,0.38123265,0.34890568,0.31279656,0.26809376,0.21286,0.15186216,0.10244038,0.08125177,0.09745567,0.14489724,0.20404917,0.24921961,0.26185822,0.24205272,0.21001631,0.19195473,0.20378798,0.23973091,0.28183046,0.31151125,0.32170224,0.31311628,0.29151452,0.2630148,0.23552735,0.2151318,0.20229737,0.18992348,0.1690867,0.13774516,0.102315016,0.0726954,0.053929433,0.0452045,0.042134453,0.040971063,0.03947337,0.036840122,0.033061758,0.02865307,0.024355553,0.020695774,0.017788041,0.01539077,0.013227827,0.011172122,0.009245285,0.007525533,0.006045981,0.004793623,0.0037275513,0.0028268844,0.0020910066,0.0015081275,0.0010541376,0.0007004177,0.00043486207,0.00024888717,0.00013041182,6.157196E-05,2.5375943E-05,8.651479E-06,2.2618594E-06,3.8781994E-07,3.4170558E-08,0]