[0.2791859,0.26895797,0.24716108,0.22029506,0.19400702,0.17130028,0.15341188,0.14105885,0.1335466,0.1293351,0.12620734,0.124020256,0.124029875,0.12784337,0.13452901,0.1403187,0.13993059,0.12987913,0.11109629,0.0896068,0.073378615,0.067776926,0.07227238,0.0816514,0.09029853,0.096262194,0.10267433,0.114634894,0.13454612,0.15842645,0.17792584,0.18586646,0.18091685,0.1675409,0.1527522,0.14246126,0.13967977,0.14318942,0.1495285,0.15500134,0.15882145,0.1618645,0.16471644,0.1657524,0.16198611,0.15168506,0.1359451,0.11952614,0.10893584,0.10897926,0.11903431,0.13227843,0.14071955,0.14020912,0.13341554,0.12622157,0.1247888,0.13132137,0.14402346,0.15663005,0.16369323,0.16327906,0.15933448,0.15716912,0.15988661,0.1655367,0.16849692,0.16302487,0.14676356,0.12325582,0.10051498,0.0874553,0.088272296,0.100068785,0.1146426,0.124857925,0.12887211,0.13037898,0.13394849,0.14109014,0.14921713,0.15406553,0.15353082,0.14881259,0.1433499,0.1392744,0.13629793,0.13218546,0.12510459,0.11457641,0.1021856,0.09124338,0.08696174,0.09315597,0.10976734,0.13016523,0.14623153,0.15273403,0.1517573,0.14893351,0.14927393,0.15306328,0.15694089,0.15705633,0.15248196,0.14556952,0.13996296,0.13764803,0.13818245,0.13938312,0.13945274,0.13802011,0.13607152,0.13480173,0.1348579,0.13651226,0.13960183,0.14339842,0.14632608,0.1476605,0.1483385,0.15121163,0.15765764,0.16623361,0.1722105,0.17191978,0.16487859,0.1546518,0.14511083,0.13777123,0.13113329,0.12292576,0.11291436,0.102836944,0.095513344,0.09249664,0.0945665,0.100803934,0.10940957,0.11691463,0.12084236,0.12046159,0.1184996,0.11922068,0.12743552,0.14466344,0.16789658,0.18946506,0.20277075,0.20560884,0.20141457,0.19455327,0.18793534,0.18215387,0.1773418,0.1739788,0.17266756,0.17360444,0.17541645,0.17531018,0.17003681,0.15857054,0.14312918,0.12808721,0.11731333,0.11289174,0.11519959,0.12303299,0.13325928,0.14162372,0.14523154,0.14469407,0.14352965,0.1454776,0.15155692,0.15997444,0.16733503,0.17192324,0.17409714,0.176075,0.17859721,0.18064661,0.17971377,0.17474945,0.16636014,0.1568407,0.14837901,0.14315291,0.14170039,0.14313035,0.14442205,0.14372861,0.14110947,0.13932331,0.14049663,0.14455335,0.14865462,0.14919923,0.14470203,0.1370302,0.13066149,0.12934487,0.1332724,0.13889791,0.14130493,0.13801052,0.12990868,0.120829135,0.11483113,0.11529607,0.12250664,0.13389374,0.143981,0.14919753,0.14929682,0.1482665,0.14998835,0.15611118,0.16496237,0.17318322,0.17850633,0.18078141,0.18210101,0.18387169,0.18538184,0.18403578,0.17782079,0.16762732,0.15624867,0.14711791,0.14235121,0.14396667,0.15223856,0.16514765,0.17671472,0.18166555,0.17884529,0.17356955,0.1732958,0.18201612,0.197271,0.21109128,0.21673852,0.21230964,0.20247059,0.19307446,0.18770047,0.1855616,0.1836847,0.1791762,0.17097193,0.16080873,0.15286383,0.15180965,0.15899521,0.17054246,0.1791354,0.17922913,0.17068867,0.15876268,0.15065622,0.15068787,0.15777485,0.16544683,0.16748504,0.16186287,0.15277071,0.14626859,0.1459509,0.15071668,0.15577127,0.15704556,0.1532237,0.14694071,0.14115685,0.13666488,0.13113497,0.12124756,0.106105804,0.08801198,0.07258922,0.06615349,0.073588215,0.0942645,0.12129333,0.14432804,0.1564882,0.15784763,0.15413074,0.15196407,0.15518446,0.16398524,0.17478378,0.18316118,0.18605755,0.18436927,0.18117267,0.17867148,0.17599325,0.16927223,0.15539448,0.13415997,0.11028775,0.091064416,0.08315442,0.08827754,0.101683535,0.11524844,0.12236044,0.122113355,0.1179155,0.114950866,0.1156713,0.11940656,0.122116774,0.12108431,0.11631558,0.11154183,0.10966463,0.110659175,0.111167796,0.10759895,0.098889835,0.08707609,0.07685583,0.07358175,0.08152478,0.10048505,0.124928094,0.14592856,0.15727027,0.15876174,0.15585844,0.15470155,0.15843187,0.16578324,0.17278652,0.17598653,0.17458594,0.17072044,0.16695394,0.1638431,0.15936978,0.15054016,0.13660261,0.120267875,0.107335575,0.10341532,0.11043629,0.12476307,0.13838492,0.14432792,0.14056826,0.13150248,0.12350333,0.12099701,0.12364028,0.1280147,0.13029794,0.12932943,0.12661837,0.12478266,0.12466425,0.12517947,0.12422039,0.12133592,0.117791,0.11618527,0.11806357,0.123145856,0.12887718,0.13216664,0.13122426,0.12674142,0.12110418,0.11696434,0.1165533,0.12120757,0.13020617,0.13987087,0.14506596,0.14305292,0.13566808,0.12807001,0.12418407,0.12392819,0.12345057,0.118917055,0.10986066,0.09996709,0.09483981,0.098665,0.11152303,0.12890787,0.14315166,0.14777003,0.14066298,0.12592728,0.111185335,0.103123814,0.10332178,0.107283115,0.10881423,0.10465351,0.09714755,0.09161908,0.09213086,0.09872799,0.10699312,0.111864455,0.11062983,0.10563785,0.101628326,0.10306334,0.11050574,0.121226214,0.1303403,0.13443,0.13268892,0.12758644,0.122993596,0.12196498,0.12493678,0.12891495,0.13033743,0.12720741,0.12112609,0.11512477,0.11165315,0.11084192,0.11089817,0.109927446,0.1074805,0.10508994,0.10473797,0.10684693,0.109757364,0.110711284,0.108338095,0.10325363,0.09778347,0.093781956,0.09201437,0.09150934,0.0908001,0.088303804,0.08402637,0.07942772,0.07765559,0.08161482,0.092651315,0.108645655,0.124764405,0.13587771,0.14028907,0.14021896,0.13962069,0.14022131,0.14090897,0.13900055,0.13362248,0.12673171,0.123695344,0.13122919,0.15510988,0.1951955,0.2424566,0.2801799,0.29322913,0.2775651,0.24372065,0.2091062,0.18757434,0.18194138,0.18496434,0.18568636,0.17751552,0.16329414,0.15278,0.15616935,0.17560773,0.20425524,0.22944094,0.24186069,0.23879516,0.22465593,0.20476769,0.1832567,0.16141428,0.13987945,0.120475225,0.11067753,0.12650867,0.18679376,0.29508686,0.42442957,0.52346736,0.5500474,0.5000457,0.40910527,0.32165518,0.26347104,0.23393345,0.22021197,0.21094738,0.20259245,0.19750434,0.20116748,0.21684009,0.2426265,0.26912084,0.28702268,0.29181314,0.288591,0.28420055,0.2831799,0.28301817,0.2798905,0.2722998,0.26515567,0.2658216,0.27998003,0.30578804,0.33346656,0.34815177,0.33969414,0.31092492,0.2775301,0.25677082,0.25599435,0.2704662,0.2891105,0.30041954,0.29508397,0.27112144,0.23981659,0.22846216,0.26498827,0.35439634,0.46338877,0.53818303,0.54189366,0.47993612,0.3906238,0.31373248,0.26923952,0.25577322,0.26243138,0.27595526,0.28568396,0.28481102,0.2737519,0.2581393,0.24518119,0.23743238,0.2321893,0.22494681,0.2158492,0.21070652,0.2163194,0.23262201,0.25074753,0.2582294,0.24819644,0.2240675,0.1975631,0.18086986,0.17936945,0.18787086,0.19558965,0.1923777,0.17641008,0.15276961,0.13357967,0.13109033,0.15218094,0.19016802,0.2265172,0.24498676,0.24399026,0.24110174,0.25229666,0.28032997,0.30702066,0.31604144,0.30054423,0.27013618,0.23525007,0.20504881,0.18302526,0.17006075,0.16271861,0.1559651,0.14730819,0.14001487,0.14146836,0.15772073,0.18696451,0.21787715,0.23489939,0.22917838,0.20530468,0.1785959,0.1653472,0.1728936,0.19739415,0.226162,0.24897455,0.26606205,0.29446012,0.35241854,0.44153753,0.53069067,0.5761742,0.5505047,0.46731392,0.36698994,0.29031232,0.25436586,0.25325492,0.26892588,0.28450868,0.29155028,0.29054704,0.28817824,0.28989974,0.296809,0.3027929,0.29962906,0.2815896,0.25126803,0.21843565,0.19417368,0.18484263,0.19013204,0.20778497,0.23584235,0.27318034,0.31571665,0.3550804,0.3796636,0.37902847,0.3519869,0.3080124,0.26328865,0.22852738,0.20554996,0.1895786,0.17740981,0.17023976,0.17260848,0.1884123,0.22013552,0.27023646,0.33990732,0.4213791,0.49125203,0.52040017,0.49362966,0.42418274,0.34217393,0.27453837,0.23057777,0.2066632,0.19481306,0.18933882,0.18698792,0.18717282,0.1903887,0.19708772,0.20583834,0.21469532,0.22201516,0.22781807,0.23266399,0.23972486,0.2515197,0.26890227,0.28523234,0.29372475,0.29268482,0.2941276,0.31752753,0.3761492,0.46158004,0.53888434,0.5693088,0.53522605,0.45715728,0.37267962,0.31231317,0.28166112,0.2713785,0.27000847,0.27400637,0.28565502,0.3080536,0.33929542,0.37039578,0.38876453,0.38479578,0.3594184,0.32408533,0.29865775,0.3032157,0.3478252,0.42044607,0.48503134,0.50306165,0.4600793,0.38094676,0.30831334,0.27298495,0.27409485,0.28924334,0.29668558,0.28919888,0.27331364,0.25675473,0.24276972,0.22892076,0.2135169,0.19779915,0.18798059,0.19297226,0.22379033,0.28920767,0.38709626,0.4956824,0.5751658,0.5905234,0.53502387,0.4386505,0.34655103,0.2915229,0.27777776,0.28669143,0.29492304,0.28996,0.275249,0.26203984,0.25877416,0.26503292,0.27448896,0.28041306,0.27947557,0.27150202,0.25870684,0.24459796,0.23331438,0.22765802,0.22846125,0.2348675,0.24727006,0.2671324,0.29653937,0.3293651,0.35207772,0.34548673,0.30426368,0.23987286,0.18012649,0.14882194,0.15650535,0.1944278,0.24171712,0.27626255,0.28759125,0.2840929,0.28942236,0.3270251,0.40135285,0.48832178,0.5481124,0.5521094,0.50252837,0.4279237,0.36100444,0.31961867,0.30300105,0.29911128,0.2950201,0.28312436,0.26424047,0.24530105,0.23395632,0.23262493,0.23724325,0.23987722,0.23482172,0.22067855,0.20315401,0.18910928,0.18338989,0.18286705,0.18231462,0.17763847,0.17011325,0.1622485,0.15811586,0.16150767,0.17542101,0.19705576,0.21800877,0.22858764,0.22470109,0.20945437,0.18922359,0.16910137,0.15266104,0.1449179,0.15348358,0.1840911,0.23576863,0.2954427,0.34324375,0.35841727,0.33583197,0.28579417,0.23119776,0.18856204,0.16480517,0.15604006,0.15575717,0.15661831,0.15318866,0.1452449,0.13827439,0.14095247,0.15656422,0.18050778,0.20157482,0.21067508,0.20435292,0.18711638,0.16773444,0.15799987,0.16496198,0.18726797,0.21227676,0.22807568,0.2341892,0.24981152,0.29913747,0.38941988,0.4923118,0.55962485,0.5562472,0.48973513,0.39886642,0.32607815,0.28912923,0.28445908,0.29619586,0.31172702,0.32231137,0.326309,0.3252033,0.32398966,0.325686,0.3300831,0.33191302,0.3261945,0.31051734,0.28762576,0.26170444,0.23806918,0.22131884,0.21635388,0.22638272,0.2515824,0.28837267,0.32863367,0.36179027,0.3756437,0.36317226,0.3252545,0.27310362,0.22200483,0.1865812,0.17541666,0.18992524,0.22175658,0.2552949,0.2738128,0.27404377,0.27225304,0.2956534,0.35634324,0.43426752,0.48842764,0.48801777,0.43649808,0.36333516,0.301304,0.26541206,0.25272366,0.24968652,0.24422926,0.23138613,0.21548295,0.2048475,0.20529647,0.21489988,0.22471778,0.22422767,0.20853867,0.18333773,0.1638185,0.16563018,0.19430609,0.23921247,0.2809662,0.30430463,0.31003812,0.31622577,0.34419683,0.40125504,0.46598625,0.5046392,0.49331173,0.44183934,0.37929925,0.33483306,0.31568065,0.31401524,0.31530997,0.31314647,0.30951372,0.3139422,0.33167493,0.3567094,0.3727306,0.36535525,0.33498397,0.29510123,0.2656156,0.26527223,0.3075309,0.3902608,0.48460922,0.54791445,0.55019194,0.5002896,0.4318768,0.37774715,0.3461486,0.32827076,0.3120414,0.2936138,0.2758109,0.26338544,0.26053843,0.2685465,0.2850198,0.3025279,0.31342307,0.31597635,0.31871128,0.33846083,0.38715205,0.46016446,0.5294842,0.5622975,0.54113,0.4778659,0.40028474,0.33404255,0.29017684,0.26681006,0.25599036,0.24971841,0.24388994,0.2381578,0.2339741,0.2315538,0.22990328,0.22745003,0.22412948,0.2210875,0.22075312,0.22363211,0.22817601,0.23104604,0.23246662,0.23649122,0.24990559,0.2761072,0.31328773,0.35138503,0.37521124,0.36903402,0.32921928,0.26706132,0.20563549,0.1653098,0.15778337,0.181481,0.22455938,0.2668643,0.29126325,0.29444805,0.29363978,0.316717,0.37959373,0.46914244,0.5438997,0.56465816,0.51910704,0.43220976,0.34210762,0.27897787,0.2496742,0.24483614,0.24825509,0.24952121,0.24765484,0.2493848,0.2603341,0.2784443,0.29402146,0.29618064,0.28106627,0.25389323,0.22599985,0.20766465,0.20262338,0.20689364,0.21135437,0.20899005,0.19852914,0.18623053,0.18095154,0.1904471,0.21641165,0.25225782,0.28333676,0.2949805,0.2823873,0.2558075,0.23088853,0.21819438,0.21688826,0.22257026,0.23191082,0.24569507,0.265314,0.28977177,0.31237364,0.3206562,0.30483124,0.26602384,0.21823631,0.17863852,0.15856558,0.16056618,0.18050505,0.20990334,0.23763628,0.2544382,0.25760758,0.25259534,0.24899645,0.25261572,0.26099324,0.26488888,0.25833178,0.24543346,0.23911422,0.24925311,0.27342293,0.29689884,0.30264533,0.282701,0.24643743,0.22000898,0.23508394,0.305616,0.41228497,0.5078797,0.5499474,0.52677447,0.4615061,0.3878468,0.33125556,0.30069807,0.29491797,0.30496514,0.31903395,0.32639363,0.32398638,0.31515315,0.30510387,0.29401156,0.27896026,0.25847772,0.23852861,0.22953431,0.24021377,0.26954433,0.30629885,0.3336867,0.34012926,0.3265668,0.3081119,0.303561,0.3212944,0.35153523,0.3745315,0.37849167,0.36663115,0.3494626,0.3284895,0.29726866,0.25213262,0.20408772,0.17039186,0.16240127,0.17909795,0.21766384,0.27878788,0.36116174,0.44667983,0.50335264,0.5047922,0.45228752,0.3747476,0.30858314,0.27608415,0.27615714,0.29247332,0.30473736,0.30114195,0.28005692,0.2494563,0.21779571,0.19056354,0.1681305,0.1519696,0.14660983,0.15677793,0.18154307,0.21060501,0.23169743,0.2362097,0.22738902,0.21506245,0.21369141,0.23686565,0.2945611,0.3829973,0.47480178,0.5301314,0.5216681,0.45992172,0.38109052,0.32169786,0.2933539,0.28826287,0.290499,0.28968158,0.2830024,0.27643552,0.28186813,0.30789575,0.3518246,0.39553,0.42029253,0.4190695,0.405445,0.40286896,0.43083778,0.48844028,0.5502396,0.5787792,0.5508116,0.4754564,0.38733542,0.3220674,0.2950758,0.30010474,0.3176194,0.32855216,0.31954262,0.28928617,0.24573667,0.20377308,0.1740415,0.15859383,0.14981811,0.14271249,0.14268075,0.16920143,0.23849837,0.34746015,0.4614911,0.5365413,0.54511255,0.49867198,0.4305842,0.37346065,0.33720174,0.3158983,0.2973418,0.27671894,0.25564435,0.2404114,0.23437446,0.23677957,0.24266674,0.2465477,0.24437608,0.23525131,0.22224611,0.21145357,0.20943396,0.21778212,0.23228793,0.24469297,0.25206935,0.25909278,0.277559,0.31252286,0.3567158,0.38920343,0.39334926,0.36687556,0.3246495,0.28231743,0.24691892,0.21644229,0.1907621,0.17590575,0.17916459,0.20251684,0.24354704,0.30360875,0.38444182,0.4764692,0.5502548,0.57444507,0.541555,0.47535887,0.41069826,0.36688414,0.3436507,0.33053002,0.32073566,0.31193364,0.30521965,0.30169824,0.30166626,0.3030779,0.30225697,0.2961509,0.28545249,0.27367306,0.26606753,0.26632044,0.27590248,0.29086488,0.3021079,0.29875043,0.27504918,0.23587257,0.1943187,0.16484499,0.1533357,0.15528661,0.16014923,0.16054523,0.15745966,0.15915017,0.17598788,0.21194673,0.26021793,0.3035735,0.32569325,0.32248995,0.30710554,0.2987143,0.30707273,0.32419536,0.33359465,0.324213,0.29784593,0.26528892,0.24047832,0.23565692,0.2546961,0.28778183,0.31368136,0.31524038,0.29166967,0.2601035,0.23956217,0.23879778,0.25081894,0.26259732,0.26202163,0.24601968,0.21996851,0.19839935,0.19425757,0.21189846,0.24029016,0.26449656,0.2770548,0.28820577,0.3192819,0.3846313,0.47441873,0.5515433,0.577596,0.53933746,0.46033266,0.379258,0.32381794,0.2977202,0.28732565,0.27768257,0.26151958,0.24194957,0.2254278,0.21612233,0.21288817,0.21135588,0.20773023,0.20086397,0.1935903,0.19092377,0.19675785,0.2094543,0.22236075,0.22875707,0.22707964,0.22228609,0.22308867,0.24077761,0.28031325,0.33540365,0.3827097,0.3993771,0.3747973,0.3220268,0.26362062,0.22232223,0.20851581,0.22235008,0.2534361,0.2900239,0.32393637,0.3598667,0.4092804,0.480126,0.5582716,0.6131856,0.6156683,0.5648535,0.4842166,0.40663755,0.35025927,0.3184556,0.30173865,0.2895243,0.2732617,0.2534915,0.23757808,0.23539871,0.24936561,0.2723408,0.2904642,0.29416,0.28271577,0.26673532,0.25758752,0.26063946,0.26718283,0.26441315,0.24472778,0.21813156,0.206147,0.23238118,0.30121318,0.39119685,0.45964384,0.4737884,0.4313561,0.36304715,0.3061881,0.28283462,0.2924709,0.31960937,0.3447775,0.3538443,0.3456441,0.33266258,0.32911536,0.33856475,0.34752873,0.34106943,0.31507847,0.28593063,0.277999,0.31208333,0.38597047,0.47198638,0.5259617,0.51916784,0.4566922,0.37472513,0.3100176,0.2783567,0.27135333,0.27212107,0.26910812,0.26111233,0.25433215,0.25692913,0.2732279,0.29998377,0.32658437,0.34183308,0.34212542,0.33628985,0.34287444,0.37933996,0.4471747,0.52331585,0.57031363,0.5619027,0.50243294,0.4222103,0.35421407,0.31375888,0.29630482,0.28717542,0.2745603,0.25448635,0.23101445,0.21074958,0.19834949,0.19326289,0.19004267,0.1819635,0.16610526,0.14759992,0.13846554,0.15109956,0.18924429,0.24314827,0.2943227,0.32558143,0.33086792,0.31486046,0.28975388,0.26607862,0.24926478,0.23459512,0.21439238,0.18451108,0.15135239,0.12571846,0.11487629,0.11689172,0.12343151,0.12544063,0.11944837,0.11030832,0.11041839,0.1304485,0.16993475,0.21210897,0.23603295,0.23209292,0.21182154,0.19660465,0.20105715,0.2229156,0.2483521,0.26321468,0.259168,0.23601449,0.20028545,0.1653087,0.14410186,0.1404739,0.14408141,0.13886087,0.11856223,0.09380203,0.08544433,0.10706401,0.15461892,0.20717323,0.24113953,0.24330299,0.21612264,0.17186381,0.12413726,0.08262912,0.052006077,0.03266414,0.02213022,0.017010376,0.014860907,0.01455617,0.015646955,0.017462565,0.018983228,0.019352777,0.018280743,0.01620134,0.013809037,0.011769865,0.010331284,0.009406836,0.008646921,0.007838078,0.007005714,0.006413514,0.00629372,0.0066610263,0.007274013,0.007719302,0.0079213055,0.009147521,0.015071541,0.031311926,0.061882567,0.104868256,0.15059476,0.18629742,0.2033097,0.20246698,0.1927103,0.18465821,0.18436205,0.1903214,0.19709098,0.19927426,0.19621366,0.19171114,0.19256033,0.20371617,0.2239237,0.24470185,0.2542883,0.24590075,0.22198768,0.193482,0.1718383,0.16229795,0.16108073,0.15964532,0.15200621,0.13882826,0.12689377,0.122074775,0.12526976,0.13097925,0.1332515,0.12937924,0.12157586,0.113534145,0.10778171,0.10464389,0.10307511,0.10209044,0.101165794,0.100563504,0.10072911,0.101831056,0.10333175,0.10405049,0.103236675,0.10113696,0.09925722,0.09931654,0.10228613,0.1078068,0.1141344,0.11917863,0.12130436,0.120851725,0.119943626,0.12220842,0.12967144,0.14131981,0.15220152,0.15736134,0.15456526,0.14597254,0.13578723,0.12772343,0.12349761,0.12248659,0.12297359,0.12328401,0.12326959,0.12423394,0.12775367,0.13407032,0.14133853,0.1465667,0.14728332,0.14290287,0.13495207,0.1263315,0.11958274,0.115358986,0.11157331,0.105446726,0.09599135,0.08615163,0.08130345,0.085733235,0.099210195,0.116435766,0.1307937,0.13823366,0.13930301,0.13688713,0.1337232,0.1309666,0.12864937,0.12657622,0.12604582,0.13139188,0.14983459,0.18615247,0.23741479,0.2923057,0.33827138,0.36791396,0.37900102,0.37164667,0.3484609,0.31763804,0.29145893,0.27895656,0.28150466,0.29366723,0.30938658,0.323616,0.33219087,0.33021557,0.3130456,0.27876666,0.23067696,0.17902094,0.1384677,0.12240216,0.13528813,0.17004816,0.21141489,0.24561857,0.26922867,0.29377687,0.33727506,0.4070759,0.48475847,0.53457063,0.5302657,0.47826433,0.410509,0.35850838,0.33236527,0.32388264,0.32003638,0.31397462,0.30527723,0.2967659,0.29115665,0.28855202,0.28612885,0.2784845,0.2623872,0.23876093,0.21381117,0.19430947,0.18437536,0.183303,0.18687855,0.19008268,0.19046159,0.19162114,0.20266432,0.23167999,0.27574456,0.31801674,0.33736014,0.3241444,0.28674576,0.24420707,0.21247576,0.19668995,0.19216144,0.18996705,0.18308677,0.17152779,0.16563398,0.18439318,0.24290979,0.33519796,0.42871204,0.48275626,0.4803083,0.43773666,0.38983616,0.35932264,0.35008928,0.35313287,0.3613653,0.3708854,0.37996852,0.38668156,0.3898673,0.38935235,0.3845962,0.37450957,0.35807526,0.33624494,0.3109746,0.28440988,0.25746337,0.23167755,0.2089523,0.19176699,0.18092829,0.17659287,0.17868273,0.18702821,0.1993616,0.21030785,0.21427031,0.20892505,0.19744784,0.18589501,0.17996325,0.18145804,0.18786095,0.19322295,0.19295442,0.18836485,0.18928982,0.20896733,0.25233236,0.3085465,0.35421357,0.37162402,0.3595829,0.33298633,0.30837604,0.29494986,0.29340863,0.2987015,0.30448484,0.30591813,0.3041014,0.3044729,0.31063756,0.31931433,0.32049486,0.3058451,0.27405545,0.23355769,0.19817208,0.18215604,0.19245511,0.22424547,0.2615433,0.28779235,0.2971138,0.30052713,0.31981015,0.3707482,0.4469637,0.5157979,0.5404561,0.506609,0.43483964,0.36162266,0.31413618,0.29753998,0.30184868,0.31368327,0.32359135,0.3285934,0.3303839,0.33247745,0.33532926,0.33662653,0.33221117,0.32006228,0.3000209,0.2753919,0.2518743,0.23700415,0.23494275,0.2440951,0.2572749,0.26989827,0.28322598,0.30558956,0.33964,0.37874627,0.404196,0.40315625,0.3748332,0.335089,0.3008273,0.2825432,0.27880192,0.28247228,0.2862033,0.28736448,0.2903923,0.305797,0.34563985,0.41119292,0.48464283,0.5329778,0.53132546,0.48151422,0.41121987,0.3515041,0.31842768,0.31016347,0.31621763,0.32558128,0.33074892,0.32887077,0.32171273,0.31231472,0.30190435,0.28847092,0.26996726,0.24705704,0.22544436,0.21391952,0.22159795,0.25002566,0.29060698,0.32556865,0.34146848,0.33745834,0.32949713,0.3404502,0.385566,0.45759442,0.52443075,0.54937106,0.5175825,0.44833136,0.37701488,0.32970616,0.31096956,0.31098524,0.31734422,0.32216248,0.32473606,0.33123204,0.34776556,0.3725859,0.39196563,0.3911319,0.3644922,0.32441175,0.2941637,0.29978585,0.35040525,0.42894873,0.49387395,0.50991994,0.47268042,0.41190687,0.36316678,0.34272537,0.34310615,0.34699574,0.34251836,0.32772365,0.30877408,0.29401082,0.28980136,0.2965481,0.30888364,0.3187894,0.32279158,0.3260406,0.3409135,0.3795323,0.44187212,0.5103709,0.55400336,0.55018514,0.5010544,0.43444178,0.38192055,0.35891715,0.35989937,0.3688427,0.37254843,0.3667133,0.35533848,0.34501478,0.33957776,0.3377665,0.33536032,0.32889906,0.31816018,0.30522764,0.2928644,0.28289142,0.27601203,0.27126753,0.26584515,0.2575222,0.2481287,0.24599163,0.26008967,0.29071072,0.3241453,0.34041348,0.32840696,0.29375663,0.25381073,0.22449239,0.21206784,0.21271507,0.21750192,0.21873273,0.21527426,0.215899,0.23802434,0.29679954,0.38871494,0.48218012,0.53343505,0.51825434,0.45221063,0.3769784,0.32890856,0.31767043,0.3308644,0.3486726,0.3578529,0.35467887,0.34438348,0.3341265,0.32748413,0.32078847,0.30666506,0.27976722,0.24205206,0.20222907,0.17203861,0.1586883,0.16122083,0.16990398,0.17423104,0.16971968,0.16214138,0.16236368,0.17888664,0.21096374,0.248452,0.2779913,0.29142228,0.29049563,0.2830619,0.27713355,0.27508417,0.27556303,0.27473882,0.27118385,0.26650393,0.2668413,0.27958182,0.3059969,0.33805063,0.35819367,0.3534977,0.32078493,0.2723148,0.22469826,0.19393563,0.18479963,0.19117163,0.19854462,0.19640875,0.18562593,0.17827123,0.18693815,0.21409428,0.2502306,0.28029832,0.29535,0.29529372,0.28803778,0.2814586,0.28191867,0.2898854,0.30066594,0.3039507,0.2932385,0.2744254,0.26990637,0.3026216,0.37395206,0.4522963,0.4940283,0.47657457,0.41533983,0.34621024,0.29718554,0.27442017,0.26957932,0.27206233,0.27520677,0.2765355,0.2777171,0.28355587,0.29885164,0.3232168,0.3491386,0.36582053,0.36604318,0.35171413,0.3311465,0.3134546,0.30060387,0.2888812,0.2731068,0.25495276,0.24290203,0.24870075,0.27696642,0.31954595,0.35642052,0.36890805,0.35302946,0.3215042,0.29308203,0.2780754,0.27606145,0.28013316,0.28531787,0.29033017,0.298637,0.31778488,0.3580345,0.42291546,0.4989462,0.5545738,0.5611947,0.51557416,0.4447583,0.3831323,0.34885457,0.33803615,0.33758485,0.33825803,0.3378152,0.33724925,0.3373275,0.3375958,0.33727804,0.33452654,0.32775638,0.31631833,0.30444255,0.29936612,0.30921948,0.33508754,0.3703409,0.40071496,0.41358045,0.40472397,0.38548252,0.37770912,0.3996173,0.4479245,0.49674812,0.5163018,0.49820468,0.4591178,0.42458808,0.40689245,0.4020649,0.39815354,0.38731804,0.3692231,0.35036328,0.3402824,0.34580192,0.36591518,0.39000332,0.40503,0.404551,0.39531663,0.39215496,0.40950668,0.44980597,0.5021052,0.54460543,0.56042814,0.5464497,0.51813406,0.49539253,0.49143663,0.5045754,0.5248024,0.5419355,0.55296016,0.5609477,0.56974816,0.57640034,0.5725897,0.5500904,0.5116533,0.468536,0.43653333,0.4264811,0.4449152,0.48856565,0.5418387,0.5771153,0.5727632,0.528766,0.4686298,0.41965517,0.39606127,0.39472964,0.404333,0.4136459,0.41618136,0.41086495,0.40162197,0.39245617,0.3841572,0.3721392,0.3524369,0.32546663,0.29684672,0.27258256,0.25531152,0.24455132,0.23683488,0.22686577,0.21016712,0.1896885,0.17849626,0.19360936,0.24037994,0.30571696,0.3615103,0.38638842,0.37480244,0.34042227,0.29974744,0.2663677,0.24437012,0.23255946,0.22516511,0.21898174,0.21920414,0.24004515,0.29487744,0.37899983,0.46674338,0.5232326,0.53219455,0.5037499,0.46521255,0.4365226,0.4221169,0.41590086,0.4116577,0.40649343,0.3992091,0.3894885,0.3780354,0.36551413,0.35184124,0.3349714,0.31360042,0.28707108,0.25767902,0.22894673,0.20670187,0.1947071,0.1930085,0.19525634,0.19404769,0.18544205,0.17289738,0.16394621,0.16447511,0.17428684,0.18663572,0.19380827,0.19239073,0.18677859,0.18622895,0.19786625,0.22161762,0.2485745,0.26854873,0.27678236,0.27920446,0.2880136,0.31089887,0.34380296,0.37041023,0.37683964,0.3597442,0.32995746,0.30101585,0.28245342,0.27488258,0.2720984,0.26465973,0.2455985,0.21647237,0.1878788,0.17544593,0.1893388,0.2281778,0.27684557,0.31635538,0.33308113,0.32585403,0.3027431,0.274011,0.24671565,0.22145773,0.19670606,0.17316665,0.16082412,0.17732342,0.2372572,0.3359575,0.44279227,0.5165295,0.5326496,0.49921235,0.44745752,0.40670583,0.38772216,0.38283965,0.37835333,0.36614564,0.34789482,0.33177307,0.32596108,0.33248588,0.34623906,0.35644528,0.35419467,0.33638147,0.30855554,0.27962443,0.25738174,0.2431646,0.23234022,0.21753585,0.19644874,0.1759547,0.17125566,0.19443814,0.24481124,0.30480543,0.35171533,0.37088117,0.36382166,0.34219325,0.31894442,0.30092028,0.28926727,0.2803745,0.2713002,0.26252317,0.26344088,0.28864834,0.34797883,0.43135533,0.5071886,0.5417554,0.52369964,0.4728814,0.4211377,0.39142957,0.38577273,0.39436948,0.4032712,0.4049089,0.39761102,0.3863004,0.37502146,0.36445203,0.34971485,0.32529223,0.28897074,0.2464168,0.20988931,0.1944158,0.2068032,0.24108231,0.27827516,0.30153593,0.3057275,0.30361342,0.31656396,0.360906,0.4337293,0.5081893,0.551085,0.54524225,0.50456184,0.45766208,0.42645136,0.41270232,0.40736142,0.40157175,0.3920209,0.3790659,0.3666388,0.3633326,0.3778926,0.4114859,0.452232,0.48372534,0.4966334,0.49781892,0.5049491,0.53295976,0.57992387,0.6228195,0.63470656,0.60442823,0.54888886,0.4962598,0.4682126,0.4664974,0.4796009,0.49070418,0.48851466,0.47246847,0.45214507,0.4386311,0.43506113,0.43558216,0.43137142,0.41833436,0.4003894,0.38890663,0.3991859,0.43950018,0.50240415,0.5615222,0.5898569,0.57581645,0.5316836,0.4781641,0.43124327,0.39561668,0.37049994,0.3543096,0.3455718,0.3423084,0.34069505,0.33621845,0.32416466,0.30312732,0.27614233,0.25103745,0.23447601,0.22980356,0.2349086,0.24701683,0.26024902,0.2671556,0.25928265,0.23785776,0.2162785,0.2162485,0.24922173,0.3079862,0.36634502,0.40015528,0.39950266,0.37455925,0.34172305,0.3138241,0.29533446,0.28520897,0.28066626,0.27787852,0.27719668,0.2855232,0.31637272,0.37508485,0.44828463,0.5046413,0.519669,0.49376997,0.4524801,0.42312798,0.41707537,0.42758957,0.44051003,0.44560614,0.43987894,0.42736313,0.41368052,0.40218997,0.39077702,0.37329075,0.34354115,0.30072105,0.25247297,0.21346186,0.19671,0.20507711,0.22613184,0.24131615,0.23733324,0.21734379,0.19585705,0.18992819,0.20644076,0.24070871,0.27839667,0.30476347,0.31064638,0.29714575,0.273372,0.24991794,0.23241913,0.2186727,0.20474757,0.1906534,0.18459918,0.1981609,0.23770015,0.2959895,0.351326,0.3798875,0.37029898,0.33189633,0.28654647,0.25634697,0.25206742,0.2710446,0.2986516,0.317363,0.3148761,0.29188418,0.26115456,0.24007376,0.23882668,0.2518748,0.26409128,0.26395312,0.25525367,0.25073186,0.25925228,0.27810404,0.2980259,0.312801,0.32139078,0.32880652,0.34362745,0.37849918,0.43725237,0.5075055,0.5598666,0.57208556,0.54378,0.4980377,0.45910743,0.43825975,0.4310201,0.42714703,0.41895616,0.40476465,0.3888662,0.37817404,0.37793764,0.3871456,0.3984532,0.40226948,0.39264867,0.3697373,0.33805203,0.30318436,0.26922873,0.23816238,0.2090499,0.180928,0.15663356,0.14679116,0.16428585,0.21187307,0.2739396,0.3219752,0.3351927,0.31216088,0.27044287,0.2291437,0.19942844,0.18129183,0.17033724,0.16227828,0.15691678,0.161052,0.189135,0.2546649,0.35511526,0.46239042,0.53738457,0.5560011,0.52674913,0.4780804,0.43604878,0.40948617,0.39516163,0.38657346,0.37943208,0.37144735,0.36164173,0.3498821,0.33535734,0.31602523,0.2893683,0.2554061,0.21931851,0.190628,0.18009718,0.19020706,0.21272193,0.22866456,0.22463776,0.20033847,0.17474101,0.17324857,0.21639468,0.30317786,0.40888938,0.49444667,0.5316818,0.51821655,0.47675574,0.43423936,0.40775323,0.39760375,0.3957392,0.3919536,0.38317975,0.3735293,0.37376294,0.39005885,0.4196451,0.44815603,0.4632393,0.46228233,0.4575452,0.46650493,0.50029975,0.55474854,0.6070919,0.6313005,0.61196774,0.5605317,0.5023032,0.4633837,0.45327082,0.4686137,0.49813858,0.53051883,0.5572918,0.57343227,0.5763381,0.56217927,0.5274482,0.4724135,0.40595508,0.34466445,0.30837467,0.3150495,0.3704138,0.46048912,0.5490119,0.5980993,0.59019923,0.53988445,0.4772948,0.42711008,0.39678988,0.38150367,0.3730178,0.36563274,0.35747597,0.34983334,0.34489787,0.34329116,0.34277776,0.33907107,0.32859656,0.3100108,0.28485748,0.25647983,0.22871341,0.20458312,0.18501078,0.16997498,0.16103925,0.1636495,0.18625629,0.23064792,0.28637615,0.3290049,0.33901337,0.3129754,0.2694736,0.23162968,0.21550344,0.2227784,0.2460103,0.27375254,0.29551253,0.30833602,0.32018316,0.34879014,0.4057934,0.48385882,0.5530502,0.5840522,0.5685727,0.5271894,0.48734418,0.4644377,0.4538811,0.44354257,0.4247723,0.39797142,0.36984685,0.348902,0.34153163,0.3485938,0.36542138,0.38284364,0.39169502,0.38555536,0.3636979,0.33149278,0.29755422,0.26960346,0.24831463,0.22985113,0.20927237,0.18827878,0.17297514,0.17023723,0.18071407,0.19879304,0.21576321,0.22606844,0.2301867,0.2336955,0.24140327,0.25258228,0.26002568,0.25634643,0.2412082,0.22428538,0.22068799,0.24119222,0.28446805,0.33438924,0.368608,0.37067905,0.3410469,0.29531607,0.25530896,0.23681659,0.24354093,0.2682845,0.29905176,0.3257769,0.34074512,0.33882952,0.31740022,0.2819734,0.24477673,0.21991025,0.21207096,0.21648677,0.22327888,0.22874863,0.23419768,0.2422102,0.2487248,0.24763031,0.23832099,0.2337632,0.2560432,0.3189174,0.4116373,0.4971228,0.538364,0.52326375,0.47395337,0.423715,0.39426717,0.38507056,0.38583386,0.38900912,0.39575794,0.40820763,0.42462876,0.43770775,0.4422668,0.43755698,0.42879567,0.42113933,0.4182465,0.41955173,0.42336962,0.42689702,0.42851126,0.42686823,0.4225273,0.41760936,0.4158548,0.42074135,0.43122032,0.44026247,0.4355601,0.4107374,0.36983457,0.32800534,0.29768527,0.281851,0.27301514,0.26371706,0.25352737,0.24960749,0.26138398,0.2962821,0.35734633,0.43768325,0.5170292,0.56722564,0.5720976,0.53948957,0.4962647,0.46665713,0.45852184,0.46526384,0.47604588,0.48512074,0.49131203,0.49611318,0.49800935,0.4929278,0.47638348,0.44845435,0.41329655,0.37553647,0.33695325,0.29957923,0.26741764,0.24508075,0.2306168,0.21721043,0.19995387,0.18590836,0.19321239,0.2407049,0.3306545,0.44014215,0.52909875,0.5665703,0.54969054,0.50409573,0.46087274,0.43839708,0.43604675,0.4436774,0.4495763,0.4466882,0.4335327,0.41861856,0.41362357,0.42798635,0.45455945,0.47909033,0.48759684,0.48307332,0.4779543,0.48623145,0.5094885,0.5363384,0.5494428,0.53830916,0.50740206,0.47225782,0.44856,0.44191936,0.4472109,0.45399895,0.4540403,0.44390535,0.42420575,0.39707056,0.36548674,0.33290485,0.3017801,0.27182573,0.24305616,0.22144419,0.22333479,0.26459968,0.34574285,0.4410456,0.51483303,0.54419,0.5348668,0.5093645,0.48852167,0.47937,0.4786619,0.4805143,0.48041725,0.4755077,0.46254206,0.43962693,0.40737414,0.37123775,0.33798575,0.31317845,0.29837847,0.29303288,0.29492453,0.30059764,0.30536202,0.30543795,0.29940793,0.2894069,0.280009,0.27976394,0.29575682,0.32938513,0.36820343,0.3938624,0.3913208,0.36158562,0.31821665,0.27954134,0.2562677,0.24752517,0.24287719,0.23205419,0.21445954,0.20349874,0.22136271,0.2822093,0.37818828,0.47567448,0.53814363,0.5481608,0.5191018,0.47727332,0.44410062,0.42556748,0.41851833,0.4172255,0.41733184,0.4161161,0.4117763,0.40292135,0.38683867,0.36067024,0.32340047,0.27923676,0.23637299,0.20439719,0.19090344,0.20030831,0.23170607,0.2767698,0.32085016,0.34997228,0.35936388,0.356851,0.35596094,0.36480477,0.37757972,0.37870932,0.35506883,0.30915156,0.2599207,0.23184443,0.23729913,0.26851317,0.30209824,0.31782487,0.3123953,0.30148056,0.30458882,0.3274889,0.35806084,0.374771,0.3650538,0.32971585,0.28275564,0.24051172,0.21743084,0.21884646,0.24018617,0.26939014,0.2956965,0.31468478,0.32773817,0.33692238,0.34195784,0.34014025,0.32872656,0.30756363,0.27989808,0.25068355,0.22452603,0.20413154,0.19045512,0.18136881,0.17317665,0.1656913,0.16905113,0.20376034,0.2836767,0.39799356,0.50630045,0.56642985,0.56386256,0.52126676,0.47478452,0.44790828,0.44302297,0.45060828,0.46000627,0.4645294,0.4620125,0.4558096,0.45054498,0.44885972,0.4458524,0.43292764,0.4014405,0.35251668,0.29728338,0.25555584,0.24126165,0.25641286,0.28803062,0.3215522,0.3480495,0.36799082,0.3849447,0.39880982,0.40570453,0.39889398,0.3789128,0.35065314,0.3234048,0.30077636,0.28449714,0.27351126,0.26711604,0.26127937,0.25285897,0.2438554,0.24735336,0.28015232,0.34970132,0.4394726,0.514486,0.54287153,0.51926154,0.46624562,0.41590288,0.38882384,0.38769087,0.4036866,0.4262385,0.44723997,0.4610655,0.46249446,0.4478899,0.41616008,0.3710157,0.31784728,0.26417845,0.21785061,0.19024551,0.1903636,0.21970864,0.26575717,0.3093429,0.3355447,0.344556,0.3502278,0.37190053,0.41931412,0.48412633,0.5405809,0.56520146,0.55312186,0.52255696,0.49656263,0.48737606,0.49207473,0.5018025,0.50870585,0.50738245,0.49455342,0.47286355,0.45110822,0.439615,0.4399415,0.44586694,0.4504424,0.4551737,0.46696332,0.48989284,0.51936525,0.54390216,0.5523991,0.54110765,0.5165341,0.49254832,0.48031452,0.48059952,0.4812651,0.467676,0.43370178,0.38855064,0.35112134,0.33992234,0.36175963,0.40849885,0.46060172,0.5006712,0.5214768,0.52705556,0.52138734,0.50456625,0.4743719,0.43533292,0.3968556,0.36739174,0.346289,0.32631302,0.30211294,0.27593595,0.25629646,0.24606259,0.23946823,0.22452725,0.19709806,0.16327454,0.13542405,0.12034798,0.11613504,0.11495408,0.1109556,0.105010204,0.10586848,0.12391454,0.16192801,0.20807393,0.24248958,0.2524373,0.24378496,0.23452444,0.23866564,0.255358,0.27364278,0.28260246,0.27807003,0.26139292,0.23812528,0.2166488,0.2044332,0.2012204,0.19611287,0.17644256,0.14043678,0.10189753,0.08080481,0.089234866,0.12455273,0.17195606,0.21353115,0.23627053,0.23569761,0.21440582,0.17851253,0.1360684,0.09558881,0.06402333,0.04395389,0.03346822,0.02873353,0.02678871,0.026491212,0.027525594,0.029431725,0.031241966,0.032059643,0.031466994,0.029723205,0.02736634,0.024960726,0.022915239,0.02149796,0.020765835,0.020522287,0.020433744,0.020300927,0.020183088,0.020252647,0.020453494,0.02045022,0.01988144,0.018731782,0.017363863,0.016221702,0.0154698165,0.014916003,0.014220291,0.013207058,0.01195706,0.010738764,0.009777932,0.009182141,0.0088785775,0.008701718,0.00844086,0.007957469,0.007259593,0.006491536,0.005842714,0.005359351,0.004940032,0.0046077585,0.005849386,0.012649513,0.03145604,0.066419974,0.11530838,0.16727243,0.20987047,0.23494649,0.24322803,0.24032615,0.23319525,0.22664429,0.22264123,0.2209794,0.22025265,0.2198817,0.22079909,0.22505939,0.23484974,0.24987273,0.26692656,0.27921346,0.2802318,0.26768878,0.24652249,0.22625154,0.21370749,0.20800465,0.20142712,0.18665,0.16301481,0.13686198,0.11640186,0.10501284,0.09957984,0.093737625,0.08355091,0.07020206,0.05880378,0.054199073,0.057734802,0.06603735,0.074056655,0.07825019,0.07899356,0.07922051,0.08202366,0.08831676,0.09633253,0.102961056,0.10608986,0.10595802,0.10504737,0.10594367,0.10976293,0.11490659,0.11809924,0.11617599,0.10829862,0.096547574,0.08480269,0.07637921,0.07245144,0.071709484,0.07206965,0.07196459,0.07138031,0.07138935,0.07333424,0.07788315,0.084020995,0.08983025,0.09332875,0.094373085,0.0942295,0.095015116,0.09744302,0.10046619,0.10131829,0.09809491,0.09081749,0.0819877,0.07462877,0.07082987,0.07069477,0.07257372,0.07441793,0.07491552,0.07436647,0.073992915,0.07493228,0.07731733,0.08011287,0.08203506,0.08234305,0.08162474,0.08132104,0.08312267,0.08761046,0.093850695,0.09959305,0.103719026,0.108099096,0.1183848,0.13981901,0.17258812,0.2086956,0.23700975,0.24961095,0.24671023,0.23309709,0.21534109,0.19867916,0.18858254,0.18775724,0.19572766,0.20752458,0.21799217,0.2235377,0.22365426,0.21856909,0.20756708,0.18806028,0.15891336,0.12437024,0.0961242,0.08671401,0.10148894,0.13276343,0.16619168,0.19056125,0.20789467,0.23275177,0.2830926,0.36319077,0.4550244,0.52602935,0.5533709,0.5395558,0.50722635,0.4784536,0.46154395,0.45426086,0.4526453,0.45554483,0.4617084,0.4681824,0.47127008,0.46868375,0.46035782,0.44768202,0.43317905,0.4198258,0.41006806,0.4048228,0.40288803,0.40220878,0.40094414,0.39914533,0.39837256,0.40132323,0.4101378,0.4247874,0.44139364,0.45275822,0.45243397,0.43945718,0.41965282,0.40148416,0.39080313,0.3882446,0.39121392,0.39619374,0.4011785,0.40547624,0.41217104,0.42814854,0.46157232,0.5108636,0.55956715,0.58328193,0.57005876,0.53002363,0.48730564,0.46032467,0.45273235,0.45735487,0.46497855,0.4691336,0.4666057,0.4582058,0.44745347,0.4390426,0.43496874,0.4342713,0.4332116,0.4287347,0.41950873,0.40767595,0.39706716,0.39201143,0.39401472,0.4016453,0.41122305,0.42001614,0.42690548,0.43181047,0.43396476,0.43206063,0.42558932,0.4160166,0.40645134,0.40018776,0.39897963,0.40219024,0.406341,0.40676332,0.3995656,0.38612697,0.37322983,0.37187567,0.38706407,0.41443667,0.43877515,0.44805202,0.43896297,0.42022803,0.40137133,0.3883994,0.3814957,0.37928283,0.3802909,0.38328478,0.38698134,0.390281,0.39230072,0.3926902,0.38982785,0.38253567,0.3694488,0.35418883,0.34197998,0.34003308,0.34880587,0.36424565,0.37673476,0.3801682,0.37431243,0.36876258,0.37896594,0.41635132,0.47714457,0.5369622,0.56708604,0.5538263,0.5112085,0.46623322,0.4397296,0.43437323,0.44110498,0.4500428,0.45624733,0.45985806,0.46159837,0.4623101,0.46113825,0.45838776,0.4540155,0.4491572,0.4438988,0.43904722,0.4354632,0.43525708,0.43943885,0.44749656,0.45662877,0.46516824,0.47252738,0.47997054,0.48604104,0.48824215,0.48296323,0.47101262,0.45620525,0.44417128,0.4372203,0.43390155,0.43124712,0.42829975,0.426924,0.42924026,0.4365693,0.45134243,0.4784559,0.51982284,0.56513053,0.592027,0.58056575,0.53177136,0.46862137,0.42008117,0.40058365,0.40591416,0.4213134,0.43422708,0.4395896,0.43886408,0.4356848,0.43163297,0.4256548,0.4150972,0.3995018,0.3815235,0.36706027,0.36146915,0.36668453,0.3792231,0.39253664,0.40109178,0.40329477,0.40215588,0.40450585,0.42076364,0.4581839,0.5123876,0.56124705,0.5787649,0.5531259,0.4991189,0.44503114,0.4140984,0.41074678,0.42428043,0.43900588,0.44440117,0.43942857,0.43163195,0.43021533,0.4390736,0.45191732,0.45818162,0.45048168,0.43242404,0.41668692,0.41880834,0.4468732,0.49345574,0.5383952,0.5607677,0.5546302,0.52836514,0.49576995,0.4638851,0.4364444,0.41685462,0.41135743,0.42079353,0.4403909,0.4604411,0.47475687,0.48084638,0.47987756,0.472978,0.46221387,0.4523382,0.4518015,0.46986017,0.5073014,0.5509123,0.57718784,0.5701981,0.534169,0.49010512,0.45848727,0.44629025,0.4487127,0.45662656,0.46337137,0.4655343,0.46361145,0.45952654,0.45461467,0.4476442,0.43749973,0.4247779,0.41247675,0.40373826,0.40111256,0.40621337,0.41819635,0.43294552,0.44308457,0.44307542,0.43282327,0.4197577,0.41379356,0.4196513,0.43142167,0.43541208,0.42144784,0.3909551,0.35641715,0.33171138,0.32392266,0.33147797,0.3469368,0.36250332,0.37358508,0.38277653,0.39909902,0.43339697,0.48616672,0.54100424,0.57004946,0.55586666,0.5051927,0.44514528,0.4012785,0.38330412,0.38481846,0.39402163,0.4020618,0.40587953,0.40684083,0.4079949,0.41112527,0.4156139,0.41816393,0.41496864,0.4033002,0.38449502,0.36390194,0.34956646,0.34693018,0.35536587,0.3678888,0.37631845,0.37757313,0.3756651,0.3785907,0.3902185,0.40711436,0.41987205,0.42253467,0.41607746,0.40816736,0.40449908,0.40639547,0.40997174,0.41154453,0.40827063,0.40124428,0.3944457,0.3957282,0.40944836,0.4324719,0.45152447,0.45346114,0.4333855,0.39919814,0.36463633,0.34126115,0.3322752,0.33238244,0.33229697,0.32554147,0.31352368,0.30446577,0.3076732,0.32609507,0.35447636,0.38238502,0.40184668,0.41078117,0.41264212,0.4125773,0.4153662,0.42413116,0.43807864,0.4508736,0.45389283,0.44503438,0.4360493,0.445503,0.48087475,0.5252548,0.5486936,0.5341158,0.49162683,0.44693792,0.41806903,0.40566054,0.39968774,0.39165494,0.38048103,0.37074974,0.36900127,0.37774134,0.3943474,0.41081086,0.42027104,0.42051324,0.4169773,0.4170061,0.42436728,0.43485722,0.44084677,0.4366708,0.4229941,0.40576681,0.39416704,0.39726853,0.41729042,0.4465247,0.4678683,0.46870676,0.44715455,0.41548264,0.3875961,0.37325597,0.37252235,0.3800641,0.3885871,0.39336148,0.3955829,0.40240264,0.425024,0.4685464,0.52563494,0.57384616,0.5917161,0.57180244,0.5292873,0.48668098,0.4604291,0.45058322,0.44917393,0.44755402,0.44296888,0.43595374,0.4288304,0.42332962,0.42055205,0.42039475,0.42180434,0.42405474,0.42680827,0.43058753,0.43574485,0.44246233,0.44992283,0.45548832,0.4563892,0.4520274,0.4483776,0.45556572,0.4818057,0.5226019,0.5605107,0.5750254,0.55916715,0.52371234,0.48808944,0.46538636,0.45584667,0.45149663,0.44386768,0.4306848,0.41499558,0.40335295,0.4009376,0.40933898,0.42500317,0.44097212,0.45143571,0.45637882,0.46340454,0.48392808,0.52316326,0.5723567,0.6101691,0.6189336,0.5985914,0.5661387,0.54035234,0.52994317,0.53524876,0.55366564,0.5813348,0.6099562,0.6307637,0.6392125,0.63707,0.62454015,0.59887457,0.5574708,0.50694495,0.4609548,0.4340805,0.43415037,0.4588263,0.4960065,0.52564234,0.53152925,0.50978935,0.4738209,0.44242287,0.42832282,0.4303293,0.4387195,0.44395176,0.44358945,0.44125077,0.4415358,0.44510046,0.44888404,0.4487401,0.44264224,0.43154195,0.41834322,0.4071034,0.40064275,0.39988148,0.40147027,0.400583,0.3933281,0.3819923,0.3732976,0.37620103,0.392832,0.41731557,0.43536735,0.4374367,0.42312476,0.403908,0.39083907,0.38959,0.3962219,0.40378797,0.40586767,0.40306315,0.4018695,0.41274858,0.4417657,0.48524258,0.5279216,0.55017036,0.54141206,0.5072954,0.46687588,0.4375423,0.42631808,0.42831096,0.43512473,0.44043276,0.44257876,0.44238594,0.44098437,0.43867064,0.43527198,0.43062034,0.42447695,0.41642943,0.40634844,0.39457467,0.38221785,0.37001157,0.35892415,0.3492031,0.34196332,0.33771598,0.33769742,0.34231818,0.35193923,0.3647621,0.37708735,0.38399816,0.3831323,0.37695312,0.37249076,0.37653974,0.39080557,0.4103111,0.42710146,0.43679157,0.44091997,0.44607893,0.45556724,0.4665819,0.46862403,0.45451197,0.4252174,0.39271984,0.36892238,0.3592714,0.35880777,0.35861692,0.35109243,0.33465037,0.31331652,0.29491475,0.28798583,0.29772294,0.32267305,0.35334253,0.3770759,0.38524142,0.37776014,0.36225042,0.34655014,0.335263,0.32568276,0.313857,0.29732588,0.2831241,0.28563678,0.32078126,0.39006516,0.47397146,0.53922486,0.5638649,0.5506025,0.52360207,0.5037455,0.49791303,0.49740413,0.4943401,0.48531058,0.47480115,0.46608147,0.46197593,0.46107784,0.46255812,0.46381843,0.46424493,0.46282378,0.46074498,0.45845366,0.45714244,0.45611182,0.4545633,0.4502932,0.44372234,0.43739438,0.43755308,0.4478046,0.46642673,0.48445916,0.49231777,0.48660824,0.47182402,0.45620266,0.44506213,0.43930742,0.43767944,0.4389812,0.44364545,0.4516141,0.4639136,0.48151588,0.5055411,0.5320863,0.5520461,0.55528456,0.5398509,0.5139434,0.48966447,0.47450063,0.46799254,0.46602818,0.46401107,0.46060428,0.45619643,0.45321107,0.45272616,0.45412758,0.45403004,0.44889188,0.43669918,0.41959715,0.402483,0.3912997,0.38845786,0.3921608,0.39669636,0.39717063,0.39316168,0.39093065,0.40129972,0.43225455,0.4812361,0.5314171,0.56215715,0.5628764,0.5418169,0.51610106,0.498605,0.49059042,0.48778546,0.4858658,0.48312607,0.47887942,0.47514868,0.47565138,0.48246393,0.49133906,0.49337447,0.48305264,0.46357706,0.44699147,0.44662204,0.46957526,0.5095855,0.54797935,0.56473327,0.55338436,0.52502745,0.4971911,0.47958505,0.47184494,0.47021195,0.47309628,0.47870877,0.48343685,0.4836818,0.4810671,0.48014888,0.48369345,0.48679185,0.48166132,0.46517023,0.44589493,0.4408778,0.46270785,0.50809014,0.5547866,0.5781613,0.5668846,0.5311553,0.49034557,0.4601978,0.44567823,0.4448655,0.45320067,0.46609977,0.47836277,0.48537362,0.4835758,0.4737723,0.4605516,0.45111656,0.44937167,0.45367733,0.45792964,0.45738855,0.4516343,0.44303071,0.43280157,0.4207034,0.40817344,0.40059444,0.4050355,0.42368412,0.45052934,0.47234806,0.47827494,0.46548304,0.44212437,0.41957247,0.40686285,0.4048758,0.40879378,0.4111458,0.40789494,0.40118778,0.39992154,0.41599336,0.45431313,0.5063362,0.54880595,0.56188774,0.54180264,0.50742644,0.48122022,0.4748945,0.48140156,0.48700812,0.48324457,0.47226086,0.4618111,0.4569317,0.45771113,0.46070853,0.46288463,0.4615276,0.4549292,0.44329548,0.4312879,0.42514667,0.42726135,0.4317021,0.42887273,0.4140061,0.39185187,0.37271976,0.36464122,0.3688624,0.38074744,0.39331374,0.401458,0.40308222,0.3995696,0.39354062,0.38778535,0.3825371,0.3754675,0.3631072,0.3468183,0.33370647,0.3343614,0.3521059,0.38048473,0.40452838,0.41383556,0.40679976,0.39134,0.37546682,0.36476636,0.36056864,0.36216095,0.36532256,0.36407086,0.35370684,0.33515713,0.31635648,0.3080496,0.31770992,0.34191525,0.36806569,0.38130417,0.37712765,0.36386704,0.35593808,0.35992098,0.3702167,0.3754996,0.37158856,0.365656,0.3726742,0.40417674,0.45973802,0.5221383,0.5666344,0.5767293,0.55709994,0.5275976,0.5077,0.50319815,0.5084718,0.5140906,0.51542264,0.51249385,0.5088684,0.50679857,0.50674874,0.5064711,0.50431067,0.49981567,0.49481928,0.49050555,0.48751011,0.48527685,0.48445413,0.48509058,0.48653123,0.4867288,0.48569605,0.4859711,0.49094763,0.49970022,0.5065348,0.5039844,0.48980168,0.4684184,0.44923642,0.4399244,0.4427997,0.45340237,0.46435758,0.46974897,0.4693352,0.46881258,0.47842312,0.50514805,0.5454698,0.5805391,0.5894702,0.564581,0.52144706,0.48300588,0.46328405,0.45764503,0.45503154,0.44763908,0.4366646,0.4262613,0.42032787,0.41946948,0.42261586,0.42695582,0.43000856,0.4298797,0.42699623,0.42298558,0.41989538,0.41766652,0.4141607,0.40615466,0.39254272,0.37661645,0.36736146,0.37759218,0.4168295,0.48182118,0.5504337,0.5926339,0.5885734,0.5452598,0.48772597,0.44266367,0.42014757,0.4166309,0.4215379,0.42751464,0.43175852,0.4362272,0.44512567,0.45968047,0.47543797,0.48205468,0.47316584,0.45215765,0.43283498,0.4302839,0.45157814,0.49329105,0.54039,0.5756436,0.58475655,0.568832,0.53954893,0.51435345,0.5028477,0.50622773,0.5181721,0.5313518,0.5399855,0.54270124,0.5414293,0.5386214,0.5334042,0.52195644,0.50193137,0.47691187,0.4566983,0.45292267,0.4712154,0.5062285,0.54096097,0.5580075,0.5501829,0.5268182,0.5041449,0.4945928,0.49864253,0.50892395,0.51601535,0.5159312,0.50996655,0.5030653,0.49823132,0.495652,0.4926614,0.4866819,0.47619832,0.46175766,0.44523227,0.4295235,0.41685852,0.40819788,0.40250126,0.3979399,0.39387593,0.39189747,0.39617684,0.40862283,0.4265407,0.4401429,0.44029915,0.4236182,0.39706254,0.37094736,0.35355678,0.34624782,0.34674284,0.35120305,0.35707793,0.36426088,0.3778378,0.4076525,0.45901394,0.5225894,0.57200307,0.58311796,0.5518897,0.50013214,0.45468083,0.4295696,0.41957903,0.4127774,0.4006783,0.3826258,0.36278948,0.3470955,0.34071827,0.34502494,0.3570139,0.36986968,0.37757584,0.3772246,0.3702425,0.36059824,0.35154858,0.34431803,0.33597767,0.3232322,0.3040867,0.28211504,0.26367274,0.25485048,0.25677648,0.26567498,0.2753947,0.28149378,0.2832945,0.28366056,0.2855136,0.2887876,0.28981528,0.28493437,0.27516767,0.26715997,0.27062273,0.29184285,0.328271,0.366828,0.3895826,0.38531277,0.35680327,0.31946895,0.29115567,0.28190863,0.29125866,0.3104054,0.33059928,0.3451967,0.3515954,0.34758267,0.33345377,0.3121297,0.28998724,0.27256414,0.2623185,0.25757888,0.25606263,0.25696614,0.26115763,0.26748738,0.2708752,0.26483932,0.249765,0.23862849,0.25498185,0.31434938,0.40851322,0.5006158,0.5522235,0.5465505,0.5009785,0.4444505,0.3998114,0.37178865,0.3581061,0.3554767,0.36462262,0.3838903,0.40799108,0.427381,0.436147,0.43451965,0.42995992,0.42897204,0.43425778,0.44205227,0.4480429,0.44845113,0.44401515,0.43687353,0.43141374,0.4299657,0.43457076,0.44510493,0.46013236,0.47427928,0.48031524,0.4739841,0.45803556,0.44014215,0.4264376,0.41744518,0.41072202,0.40457734,0.40109277,0.40317395,0.41389242,0.4357767,0.47124872,0.5181606,0.5640041,0.5892632,0.5789783,0.5372472,0.48353586,0.43943098,0.4119723,0.39529455,0.37930894,0.36079678,0.3432326,0.33293524,0.33452365,0.3491938,0.37490535,0.40525934,0.4313666,0.44358552,0.437408,0.41663614,0.39216626,0.3737289,0.36027327,0.34141895,0.30781266,0.26634187,0.24070702,0.2594938,0.33233044,0.43733993,0.5297317,0.5718375,0.5588131,0.51586145,0.4749963,0.45066682,0.4398174,0.43126893,0.41867635,0.40206528,0.38724628,0.3819218,0.3900284,0.4078711,0.42305276,0.4240719,0.4083352,0.38775954,0.3817396,0.40710962,0.46420112,0.5333527,0.58290786,0.5920623,0.56362814,0.5203978,0.48410633,0.46463415,0.4601706,0.46613133,0.47656474,0.48560748,0.48890695,0.48733774,0.48513857,0.4849666,0.48598385,0.48457924,0.47973517,0.47433606,0.4778395,0.49901676,0.5385491,0.58042306,0.6021648,0.5896425,0.55135775,0.5088237,0.48129117,0.47184685,0.47284675,0.47537836,0.4765118,0.47715017,0.47766522,0.4767897,0.47252265,0.4651113,0.45646548,0.44994402,0.4472636,0.44829682,0.45033643,0.45073962,0.44735992,0.44037306,0.43057248,0.42076072,0.4146097,0.4179126,0.4333022,0.45724896,0.47797406,0.4835712,0.46917567,0.44046226,0.40787783,0.3804101,0.36176217,0.35065365,0.34283313,0.33409294,0.32500413,0.32349542,0.34448758,0.39772078,0.4763352,0.5506251,0.587833,0.57374746,0.5253368,0.4725779,0.43730292,0.42137203,0.41525128,0.40900573,0.3990047,0.3872029,0.37798047,0.374289,0.3747984,0.37480178,0.3692119,0.35682845,0.34087846,0.32770863,0.32354927,0.33107892,0.34806454,0.36752132,0.38271832,0.39045,0.39264846,0.39329323,0.39422047,0.39383185,0.38789487,0.37448576,0.35607362,0.33925045,0.3310019,0.3343649,0.3472245,0.36217734,0.3715583,0.37170577,0.3668592,0.36580303,0.3761684,0.3969313,0.41865516,0.42723215,0.41469586,0.38281226,0.34355816,0.31082174,0.29472005,0.29766667,0.3140829,0.3341943,0.34784535,0.35046527,0.34338534,0.3323932,0.32298553,0.31738642,0.31448796,0.3110977,0.30482057,0.29524657,0.28509316,0.27820757,0.2762115,0.27578428,0.27073053,0.25957283,0.2518591,0.26755333,0.32105112,0.40541553,0.4880664,0.53327066,0.5281476,0.49018332,0.45038638,0.42756447,0.42322993,0.42619702,0.42850384,0.42670485,0.4238818,0.42269826,0.42596546,0.4328022,0.44095278,0.4450798,0.4416549,0.42936182,0.41194677,0.39534256,0.385525,0.3853705,0.39331496,0.40510294,0.41632453,0.42553437,0.43469238,0.44544378,0.4564015,0.4615287,0.4572638,0.4449921,0.43159148,0.42182314,0.41677007,0.41473603,0.41463482,0.41557002,0.4159247,0.41604176,0.42189196,0.44420645,0.48751938,0.5403207,0.57777447,0.5800278,0.547442,0.49887463,0.4560422,0.43073404,0.4233055,0.4269445,0.43292436,0.43399474,0.4285907,0.4200041,0.41338077,0.4102737,0.4086636,0.404821,0.39726686,0.38772333,0.38059273,0.37949672,0.384402,0.39016196,0.3898296,0.37893555,0.3612351,0.34923103,0.361123,0.40569857,0.4716268,0.52617455,0.5402595,0.50925076,0.45792747,0.4164931,0.39993122,0.40356278,0.41466784,0.42373124,0.42696455,0.42615327,0.42688897,0.43468204,0.44987252,0.4645884,0.4698671,0.4628866,0.4517031,0.44884813,0.46433,0.4979179,0.5388828,0.56873363,0.57265025,0.5471017,0.50397223,0.46105668,0.43363354,0.42663458,0.43780914,0.46021906,0.48746648,0.5128825,0.5311904,0.53624254,0.52360785,0.49179593,0.44680712,0.39981994,0.36241758,0.33929738,0.32824752,0.32282686,0.3177948,0.3100663,0.29914713,0.28485087,0.26663774,0.24499641,0.22257964,0.20415628,0.19114965,0.18094777,0.16829151,0.15158598,0.13287438,0.11580711,0.10175546,0.08992759,0.07857349,0.06747973,0.059920404,0.063521475,0.08655252,0.13071626,0.18579976,0.23308806,0.25748584,0.25756368,0.24552713,0.23566346,0.23423083,0.2375235,0.23855942,0.23304223,0.22056071,0.20370865,0.18746607,0.1780225,0.1772274,0.17837976,0.16928343,0.14343081,0.10771329,0.07898874,0.072408825,0.0912967,0.1264662,0.16177846,0.1835484,0.18520026,0.1684011,0.13907547,0.10461113,0.071735755,0.045482114,0.028077133,0.018664649,0.014685541,0.013518066,0.013507359,0.01397318,0.0147271,0.015683562,0.016489545,0.016699588,0.016022442,0.014686127,0.013236888,0.0121365385,0.011374519,0.010604996,0.009576795,0.0084452415,0.007642081,0.0075428043,0.008184227,0.009307719,0.010435999,0.011111226,0.011006445,0.010136076,0.008817273,0.0075341514,0.006638802,0.006198872,0.0060440837,0.0059417714,0.005764512,0.0055137556,0.0052953786,0.0052133296,0.005303412,0.0054681,0.005529495,0.0053194445,0.004799614,0.0040827207,0.003371739,0.0028253237,0.0026824202,0.004427892,0.011892629,0.031188482,0.06585612,0.112843215,0.16110016,0.1993264,0.22169779,0.23043887,0.23032594,0.22558008,0.21898831,0.21320999,0.21051867,0.21161304,0.21600477,0.22335541,0.23444384,0.25038046,0.27014217,0.2895398,0.30172664,0.30155584,0.2892586,0.27204573,0.25901,0.25450575,0.25495163,0.25303257,0.24474724,0.23154335,0.21810615,0.20713694,0.19863732,0.19034539,0.18052842,0.16891241,0.15673287,0.14617127,0.13857764,0.13433139,0.13193627,0.12991126,0.12750757,0.12569086,0.12620561,0.1299154,0.13617839,0.1423732,0.14602435,0.1457386,0.14296031,0.14121936,0.14535625,0.15789926,0.17669626,0.19354932,0.1995699,0.19008428,0.16929121,0.14643627,0.13090406,0.12600255,0.12878402,0.13317521,0.13471752,0.13277595,0.12940888,0.12710054,0.12723082,0.12967545,0.1335833,0.13778637,0.14144254,0.14357185,0.14304729,0.13890171,0.13128127,0.121896476,0.11309136,0.106653236,0.10287994,0.10138472,0.1014173,0.102427684,0.103316285,0.10316327,0.10136816,0.098466516,0.09545315,0.09343905,0.09299931,0.09401693,0.09583994,0.09773468,0.0995489,0.10175047,0.10512956,0.11014523,0.116585046,0.12346798,0.12939268,0.13372593,0.13747479,0.14384301,0.15529202,0.17152141,0.18744762,0.19750941,0.19839029,0.19193207,0.18223031,0.17398016,0.17006584,0.17111905,0.17504989,0.17848058,0.17922865,0.17778887,0.17640881,0.17659421,0.17800723,0.17893215,0.17809995,0.17557411,0.17297202,0.17240445,0.17471397,0.17872912,0.1814027,0.18046975,0.17528147,0.16759723,0.15978724,0.15439574,0.15260148,0.15368338,0.154625,0.15205446,0.14457963,0.13409863,0.12415677,0.11736759,0.11382616,0.111874394,0.10983766,0.1069468,0.10316151,0.09834387,0.09228284,0.085052304,0.07754234,0.071032375,0.0664883,0.06400996,0.06308576,0.062971085,0.062887736,0.061836377,0.059017997,0.054293126,0.04863892,0.043434534,0.03971867,0.03767142,0.036851536,0.03660525,0.03627261,0.03538863,0.03373184,0.031375196,0.028621294,0.025855297,0.023465782,0.021623386,0.020275244,0.019177834,0.018124677,0.017070351,0.016131857,0.01552673,0.0153922355,0.015700914,0.016124576,0.016204506,0.015586914,0.014339231,0.012903356,0.011791023,0.01121129,0.010980956,0.01073153,0.0102203665,0.009466269,0.008694392,0.008114093,0.0078123338,0.0077191647,0.0077434476,0.007831556,0.008006169,0.008266791,0.008531964,0.008610752,0.008294998,0.00746273,0.0061715096,0.0046922625,0.0034476568,0.0028640102]