[0.042620055,0.056972783,0.08690313,0.12089562,0.14860165,0.16550244,0.17401975,0.18042518,0.1902195,0.2050032,0.22157185,0.23544358,0.24375646,0.24791674,0.25172758,0.25899157,0.27057227,0.28384474,0.29469398,0.29950872,0.29637125,0.28390637,0.26237854,0.23490249,0.20813882,0.18828888,0.17790681,0.17492603,0.17620526,0.17959398,0.18443708,0.19028477,0.19653833,0.20323698,0.21124232,0.22267151,0.23885286,0.25934073,0.28037444,0.2972233,0.30600774,0.30526134,0.29452124,0.27439445,0.24737151,0.21922605,0.19637895,0.18301205,0.17885228,0.18180181,0.19003443,0.20284252,0.2186975,0.23428245,0.24561535,0.24927332,0.2431307,0.22616166,0.19995606,0.16957788,0.14224832,0.12387189,0.11663283,0.11982847,0.13147159,0.14912696,0.16902888,0.18677257,0.19880676,0.20477825,0.2071508,0.21010093,0.21643405,0.22666006,0.23808497,0.24728502,0.25106052,0.24777466,0.2363197,0.21709222,0.19293594,0.16960068,0.15271619,0.14474629,0.14342295,0.1451084,0.14701013,0.14940597,0.15288287,0.158062,0.16443665,0.17247514,0.18347697,0.19865938,0.21725817,0.23557685,0.24940325,0.2557452,0.2542116,0.244735,0.22783251,0.20538576,0.18258946,0.16519232,0.15618624,0.15410991,0.15616995,0.16130383,0.17013209,0.18227844,0.19499022,0.20451759,0.20811687,0.20440263,0.19328082,0.17648757,0.15824586,0.14376324,0.13647282,0.13668309,0.14319344,0.155096,0.17189927,0.19137746,0.20960295,0.22257225,0.2295342,0.23308843,0.2379155,0.2471873,0.26102248,0.27600417,0.2876165,0.29206672,0.28705683,0.2716745,0.24714921,0.21827583,0.19202791,0.17407084,0.16540293,0.16329761,0.16413476,0.16606353,0.16851693,0.17167087,0.17537576,0.18018673,0.18726383,0.19917065,0.21736473,0.2409312,0.26464927,0.28273007,0.2908015,0.28821668,0.27518547,0.25328353,0.22557692,0.19835402,0.17761786,0.16656381,0.16391157,0.16739339,0.17522745,0.18661685,0.19932447,0.21042311,0.21685922,0.21732138,0.21064489,0.19696976,0.17753671,0.15695988,0.14020722,0.13125026,0.13044788,0.1371027,0.14994405,0.1678281,0.18756394,0.20482178,0.21592772,0.2208273,0.22263493,0.22571312,0.23240775,0.2421105,0.2516967,0.2579054,0.25848937,0.25222924,0.23856829,0.21834017,0.19535477,0.17507677,0.16178606,0.15573967,0.15439177,0.15533309,0.1577391,0.16186099,0.16734402,0.1736694,0.18069112,0.18938643,0.20133184,0.21716623,0.23555219,0.25271955,0.26480493,0.26910684,0.2647448,0.25135484,0.23006482,0.20449972,0.1807456,0.16374725,0.15502577,0.15286241,0.15588368,0.1638021,0.17670108,0.19209546,0.20614813,0.2146488,0.21546878,0.20712425,0.18986149,0.16582336,0.14075415,0.120959304,0.11054032,0.10938945,0.115559675,0.12720494,0.14287442,0.16013615,0.17546117,0.18616547,0.19211006,0.19618721,0.20216738,0.21252894,0.22641832,0.24044679,0.2502378,0.25251395,0.24513097,0.22790366,0.20298602,0.17604907,0.15334338,0.13913564,0.13294671,0.13211827,0.13374132,0.1368552,0.1411236,0.14638539,0.1521672,0.15882443,0.16789047,0.18150027,0.20031773,0.22204733,0.24190636,0.25523132,0.25942156,0.25391036,0.23895808,0.21601552,0.18888317,0.16358323,0.1452894,0.13597143,0.1342904,0.13853128,0.1473958,0.1597424,0.1727822,0.1833356,0.18873887,0.1880119,0.18075566,0.16768275,0.15100795,0.13494404,0.123238824,0.11774515,0.11817756,0.1246253,0.13721997,0.15491726,0.17363827,0.18867148,0.19756804,0.20196898,0.20596765,0.21315195,0.22451948,0.23776555,0.24925534,0.255622,0.25514138,0.2465465,0.22967891,0.20614903,0.18084669,0.15923978,0.1450258,0.13812043,0.13682204,0.1391977,0.14412285,0.15055211,0.15750074,0.16442232,0.17176704,0.18114711,0.19438195,0.21175575,0.23087525,0.24745,0.25776702,0.25992844,0.25330377,0.2379358,0.21544753,0.19047807,0.16880657,0.1542525,0.14678572,0.14484787,0.14809817,0.1571088,0.17109072,0.18626964,0.19828308,0.20390798,0.20199393,0.191563,0.17300288,0.14894049,0.12567721,0.10918962,0.102616996,0.10425976,0.111393206,0.12177964,0.13472073,0.14839323,0.16016684,0.167859,0.17227559,0.17688854,0.1851569,0.19779111,0.21195255,0.22366734,0.22981252,0.22882248,0.21958053,0.20204015,0.17881192,0.1557618,0.13865004,0.12955797,0.12599261,0.12470751,0.12448102,0.12628269,0.13055773,0.13629507,0.14224316,0.14850362,0.1570143,0.16958983,0.18651108,0.20511939,0.22139806,0.23144537,0.23310794,0.22541302,0.20906322,0.18682502,0.16407216,0.1457575,0.13422538,0.12852617,0.12749125,0.1311238,0.13979246,0.15219623,0.16495748,0.17454024,0.17902948,0.1791321,0.17730112,0.17620963,0.17742355,0.18083602,0.18541746,0.18942326,0.19089477,0.1877412,0.17897724,0.1657046,0.15086281,0.13803844,0.12972249,0.12739645,0.1313116,0.14085579,0.15372163,0.16674961,0.17690623,0.18325667,0.18675023,0.19028771,0.19638646,0.20649004,0.21867804,0.22965492,0.23553382,0.23427741,0.22396536,0.20403107,0.17580621,0.14535113,0.1201816,0.106304675,0.10437063,0.11206707,0.125862,0.14267813,0.15918384,0.17200916,0.17965569,0.18308742,0.18591161,0.19134068,0.2011265,0.21379632,0.22638912,0.23523565,0.23790126,0.2325541,0.21856725,0.19706722,0.17248245,0.15114565,0.13935919,0.14353801,0.17218411,0.2333693,0.3223802,0.4146192,0.47267708,0.47344136,0.4226605,0.35139406,0.29020002,0.25439394,0.24098134,0.23996417,0.24200214,0.24571113,0.258313,0.29428008,0.36019626,0.44413558,0.5133093,0.53789085,0.5106741,0.4508805,0.38407362,0.324969,0.27639395,0.23749603,0.20946224,0.19379257,0.19278131,0.2115466,0.25598097,0.32097554,0.38431397,0.41504315,0.39937842,0.35093102,0.3022107,0.27675685,0.2779415,0.29156575,0.30242944,0.30205643,0.29082796,0.27236676,0.25124234,0.23083045,0.21436565,0.2029876,0.19646853,0.19605018,0.20919116,0.24907096,0.32046568,0.40823707,0.47603154,0.49265733,0.4524834,0.3797352,0.3048891,0.24531783,0.20222907,0.17061265,0.1510353,0.15126996,0.18547319,0.25976637,0.36143887,0.45434225,0.500632,0.48456368,0.4227651,0.34891066,0.29095674,0.26005557,0.25158814,0.2550868,0.2605439,0.26231804,0.25764188,0.24546611,0.22651921,0.20469265,0.18554987,0.1730275,0.1686001,0.17501688,0.20026731,0.24993289,0.31692323,0.37474725,0.3959639,0.37058082,0.31761,0.2668554,0.24037479,0.23980398,0.2539412,0.2690984,0.277451,0.27699092,0.26859432,0.2539378,0.23585396,0.21875386,0.20632844,0.19997351,0.2019618,0.2205817,0.26833734,0.34541872,0.42827097,0.47614694,0.4661825,0.41473833,0.37091532,0.3721651,0.41501203,0.4569542,0.45687547,0.4064529,0.3324466,0.26915702,0.23397185,0.22347535,0.2253838,0.22961016,0.23341744,0.24167542,0.26600075,0.31486753,0.38193953,0.44173357,0.46510264,0.44167933,0.3868531,0.32744345,0.27957353,0.24411881,0.21455503,0.188815,0.16884892,0.1594858,0.16673495,0.19978781,0.2616376,0.33875215,0.3989612,0.41283488,0.37673032,0.31673253,0.26691166,0.24531205,0.2488497,0.26332673,0.27676308,0.28269958,0.27988872,0.26849684,0.25087547,0.23066424,0.21381463,0.20403872,0.20225741,0.20796257,0.22707458,0.27172232,0.3474134,0.43856964,0.50844115,0.5253536,0.4837623,0.40757942,0.32704476,0.26088324,0.21290384,0.18042159,0.1650328,0.17449446,0.22134571,0.30645612,0.4091181,0.48853555,0.51195586,0.47685924,0.41075027,0.34679326,0.3025864,0.2790201,0.26873466,0.2652482,0.26324895,0.25914863,0.2499978,0.23517655,0.21675764,0.19950657,0.18771279,0.18412097,0.1916899,0.21709101,0.26457393,0.32572636,0.3750653,0.3866618,0.3547225,0.29997954,0.25213292,0.22904472,0.22965384,0.24224739,0.25555798,0.26387718,0.26637557,0.26423672,0.25895,0.25187764,0.24445812,0.23752475,0.23096104,0.22438915,0.21862918,0.21581404,0.21772067,0.22374427,0.23107465,0.23680966,0.24329464,0.2601337,0.3018721,0.37144282,0.45030984,0.5009529,0.49652886,0.44000766,0.36233756,0.29508486,0.25156367,0.22781701,0.2143532,0.20575349,0.20175701,0.20857017,0.2372595,0.29511574,0.3724494,0.44002482,0.46637478,0.4425893,0.38613057,0.32454047,0.27272862,0.23188202,0.19787489,0.17066832,0.15219398,0.14579009,0.15689766,0.19554895,0.2631266,0.34318388,0.3987892,0.40243256,0.3549771,0.28982309,0.24145667,0.22522442,0.23222822,0.24668472,0.2571201,0.26044622,0.25679156,0.24713607,0.2321646,0.2144028,0.1974017,0.18442218,0.17765148,0.18192114,0.20756455,0.26427498,0.34746838,0.43062028,0.47801444,0.4692481,0.4128922,0.33735672,0.2687693,0.21867521,0.18543638,0.16544199,0.16137527,0.18384206,0.24303402,0.33266148,0.42442706,0.4790627,0.47591177,0.42477143,0.35831475,0.3045121,0.2744497,0.26314077,0.26112866,0.2611047,0.25918087,0.25383735,0.24366958,0.2285779,0.21061362,0.1950755,0.1862156,0.18487452,0.18979476,0.2047077,0.23843904,0.29397288,0.35594392,0.3947016,0.38909578,0.3454353,0.2921585,0.25679705,0.24727589,0.25469327,0.2653029,0.27150008,0.27142474,0.26592866,0.25571766,0.24206425,0.2275763,0.21481985,0.20483132,0.1994689,0.20574157,0.23755376,0.3024188,0.3886107,0.4609623,0.48670688,0.46201584,0.41996637,0.40226033,0.4224331,0.45571694,0.46126118,0.42032066,0.34757218,0.27612,0.22887073,0.20785917,0.20244299,0.20165473,0.20156772,0.20411415,0.21806498,0.25465813,0.31741288,0.39112207,0.44401252,0.45065418,0.41037104,0.34708777,0.28609183,0.23837344,0.20153587,0.17217751,0.15106024,0.14228183,0.15075399,0.184267,0.24418269,0.31749544,0.37195265,0.380066,0.33885893,0.2766312,0.2276392,0.21012549,0.21922517,0.23930049,0.25736067,0.2675139,0.2691795,0.2621094,0.24670686,0.22495686,0.20241009,0.18488769,0.17573173,0.1774237,0.19601269,0.2432869,0.32243788,0.41759476,0.49125245,0.5126154,0.47617593,0.4072081,0.33594,0.2811758,0.24447472,0.22120146,0.20795523,0.20787828,0.22992413,0.28326705,0.36403248,0.44972405,0.5063685,0.51243657,0.47013465,0.4033955,0.33674297,0.2847198,0.24819987,0.2231803,0.20588607,0.19593449,0.19471216,0.20319688,0.21932514,0.23766597,0.25086567,0.255571,0.25614023,0.26515245,0.29347816,0.33896923,0.3808161,0.39190772,0.35867366,0.29413584,0.22761,0.18523996,0.1737581,0.18427385,0.20141363,0.21515204,0.22184442,0.22442901,0.22761165,0.23618953,0.2510095,0.26883057,0.2833335,0.28998354,0.28764096,0.27789924,0.2621591,0.2419235,0.21985517,0.19987614,0.18608008,0.18428709,0.20401609,0.25513747,0.33413002,0.41726685,0.46791092,0.4640734,0.4120092,0.34248853,0.2854517,0.25503024,0.24741821,0.25092602,0.25625432,0.261906,0.27612266,0.31157708,0.37220207,0.44387522,0.4963363,0.506342,0.47249755,0.4152826,0.3563083,0.3058343,0.26369122,0.22833245,0.20113404,0.1849211,0.18336694,0.20263441,0.24773741,0.3135884,0.37800512,0.41175067,0.39960632,0.35324526,0.30196044,0.26972377,0.26193437,0.2685095,0.2771267,0.2809719,0.27914777,0.27250633,0.26184535,0.24861795,0.23614995,0.22786196,0.22534539,0.2296871,0.24619587,0.28508762,0.34992608,0.42603302,0.48088774,0.4876599,0.44462836,0.37518477,0.3064828,0.251885,0.21208148,0.18361767,0.169576,0.17810482,0.22145152,0.30037153,0.39723694,0.47509733,0.5040113,0.479504,0.42505562,0.3698496,0.33133554,0.3127153,0.3094974,0.3150381,0.32163176,0.32315573,0.31715673,0.30530453,0.29132628,0.2793003,0.27186045,0.26919386,0.27022812,0.276327,0.29394484,0.32735297,0.3691188,0.39737573,0.39229771,0.35386035,0.3039737,0.26899692,0.26013258,0.27148592,0.2886844,0.30162823,0.30620238,0.30352762,0.29552662,0.28495267,0.27492157,0.26855826,0.26665065,0.26801047,0.27413782,0.29328477,0.33557537,0.39783755,0.45627165,0.47872874,0.45507646,0.41023406,0.38824078,0.41179213,0.46319118,0.49790168,0.4844973,0.4268806,0.3564798,0.30396187,0.2808998,0.28141427,0.29285836,0.30492377,0.31349778,0.32399663,0.3497213,0.40035045,0.4677317,0.523026,0.5366437,0.50191337,0.44031668,0.38162908,0.34144595,0.3175935,0.30102575,0.2867371,0.2740711,0.26583776,0.26730204,0.28744105,0.3284116,0.37969592,0.41550696,0.41617417,0.3810431,0.33312038,0.2982526,0.28951228,0.3014224,0.31961048,0.33218992,0.33415094,0.32621118,0.31057608,0.29034746,0.26958427,0.25266412,0.24182384,0.23720796,0.2413336,0.26286674,0.31349683,0.3926141,0.47955465,0.5373521,0.54086953,0.48973563,0.40979162,0.3281034,0.26255786,0.21740414,0.19298905,0.19000773,0.2124948,0.26480225,0.34160694,0.42078635,0.4694533,0.4672171,0.42171228,0.36210898,0.31558812,0.29183915,0.28561068,0.28719983,0.2901033,0.29099646,0.28888288,0.28301537,0.27358246,0.26130348,0.2485338,0.23820464,0.23531003,0.24703598,0.2817129,0.33851004,0.40080285,0.43890646,0.43223223,0.38485608,0.32461244,0.2807014,0.2663038,0.27564692,0.29429454,0.31009132,0.3178338,0.31856427,0.31529495,0.31013802,0.30364466,0.29620096,0.2883867,0.28092083,0.27415004,0.26929626,0.2687025,0.2752583,0.2894974,0.3079981,0.32552484,0.34057164,0.35919043,0.39096633,0.43580413,0.47668436,0.4858509,0.4494451,0.3790798,0.30559453,0.25330654,0.22836721,0.22194113,0.22336161,0.22628765,0.23048179,0.24230044,0.27400336,0.33241227,0.40629956,0.4638805,0.47540793,0.43635878,0.37099394,0.30916497,0.26477233,0.23449232,0.21091484,0.19183679,0.17858331,0.17388158,0.18277143,0.21430385,0.27024737,0.3360014,0.3799192,0.37903306,0.33618942,0.2813042,0.24406473,0.23571847,0.24681108,0.2620223,0.27184176,0.27410164,0.2702123,0.26075706,0.2463407,0.22917522,0.21328746,0.20190986,0.19732578,0.2046263,0.23494248,0.29531947,0.3747201,0.4394369,0.456074,0.41713586,0.34676322,0.2777441,0.22792582,0.19649303,0.17586474,0.164294,0.16864383,0.20164768,0.2699671,0.362043,0.44464132,0.48197845,0.4613239,0.40190682,0.33801994,0.294847,0.27860713,0.28222167,0.29407537,0.30465677,0.30802533,0.3037831,0.2937528,0.28115037,0.2684328,0.25899997,0.25535586,0.25925943,0.27163815,0.2956303,0.33349112,0.380175,0.41785243,0.42508802,0.39304852,0.33622932,0.28241643,0.2540887,0.254936,0.27379534,0.29583752,0.3116496,0.31790102,0.3134322,0.29842928,0.2748529,0.2487339,0.22591566,0.21010554,0.20281126,0.20929705,0.24026619,0.30147266,0.38164994,0.4489634,0.47449824,0.45560142,0.42274734,0.41176927,0.43215832,0.45906094,0.4570816,0.41307232,0.3442917,0.28193557,0.24628423,0.2385198,0.24773008,0.26209435,0.2755277,0.2895031,0.31212083,0.3528359,0.4107202,0.4686761,0.4986616,0.4841875,0.43268672,0.37091216,0.32175502,0.2910752,0.27121952,0.2542692,0.23905317,0.23144698,0.2403764,0.27568227,0.33507118,0.40014407,0.4375856,0.42725134,0.37494937,0.31246147,0.26945367,0.25773022,0.26869312,0.28676322,0.30057254,0.30588934,0.3042837,0.29731914,0.28657973,0.27244833,0.2575171,0.24431388,0.23639093,0.23776162,0.2558231,0.2986028,0.36521265,0.43769333,0.48364723,0.47944847,0.4272672,0.35636535,0.29746968,0.26455304,0.25087148,0.24456584,0.24029149,0.24364133,0.26524833,0.3107997,0.37154612,0.42461303,0.44669798,0.43087962,0.38991356,0.3443526,0.3074685,0.2817102,0.26381677,0.25104013,0.24308628,0.24124974,0.24702632,0.26056758,0.27885023,0.29698488,0.30948174,0.31610575,0.32272616,0.34103176,0.37774238,0.42447397,0.45650676,0.44820282,0.39519104,0.31930155,0.25362197,0.21947081,0.21718387,0.23385672,0.254101,0.26941058,0.27688953,0.27920422,0.27897653,0.2787036,0.27835396,0.27725518,0.2739462,0.26796123,0.25993967,0.2513288,0.24346034,0.23711091,0.23290603,0.23112877,0.2310308,0.23070659,0.22730978,0.21916586,0.2061903,0.19122578,0.17778279,0.16937734,0.16723795,0.17165495,0.18169296,0.19601186,0.2117002,0.22541319,0.23467642,0.23988582,0.24400847,0.25106946,0.26334962,0.27991936,0.29670134,0.3088152,0.3124904,0.30585554,0.28900123,0.26429474,0.23684448,0.21266253,0.19592594,0.18706113,0.18358546,0.18276982,0.18303932,0.18448009,0.18740688,0.19203681,0.19848882,0.2074808,0.22054803,0.23799904,0.25799894,0.27571198,0.2868582,0.28923774,0.28381348,0.27219155,0.25602916,0.237375,0.21952562,0.20578824,0.19778122,0.19489317,0.19634934,0.20181662,0.2113421,0.22274153,0.23291606,0.23830117,0.23730236,0.22820176,0.21082653,0.1867202,0.16206306,0.14372246,0.13657826,0.14000826,0.15117313,0.1666,0.1838293,0.19964059,0.2110428,0.21671434,0.2188257,0.22188576,0.22977711,0.24322517,0.25895533,0.27222443,0.27916026,0.27862087,0.27094242,0.25742778,0.23992874,0.22150926,0.20505966,0.19215406,0.18239154,0.17496328,0.16959472,0.16681898,0.16695237,0.16985552,0.17486048,0.18178694,0.19087774,0.20305574,0.21803723,0.23418169,0.24796188,0.2566407,0.25868717,0.2542092,0.24331449,0.22687876,0.20762403,0.19026893,0.1789187,0.17458528,0.17497401,0.17783792,0.18243349,0.18994063,0.19984229,0.21010228,0.21681778,0.2173569,0.21010523,0.19611378,0.17829508,0.1616589,0.15025556,0.14617692,0.14895122,0.15806389,0.1728312,0.19183071,0.21121188,0.22639228,0.23465216,0.23721951,0.23843789,0.24270725,0.25189722,0.26407945,0.275475,0.28249025,0.28356886,0.27811787,0.26643646,0.24935514,0.22991894,0.21142054,0.1966161,0.18550003,0.1775776,0.17228694,0.17006786,0.17109658,0.17505024,0.18127155,0.18932347,0.19958569,0.21303833,0.22979958,0.24821453,0.26431116,0.27455366,0.2766259,0.27072445,0.2578609,0.24046642,0.22201712,0.20665644,0.19717543,0.19370289,0.19454044,0.19808082,0.20363533,0.21079479,0.2179088,0.22304438,0.22434747,0.22113448,0.21245563,0.1982774,0.1801561,0.16250767,0.14992695,0.14514934,0.1476765,0.15604712,0.16850774,0.1835547,0.1984338,0.21033125,0.21720608,0.2196575,0.2202064,0.22228622,0.22802852,0.23739159,0.24828577,0.25757247,0.262051,0.25885537,0.24711424,0.22875333,0.20889561,0.192661,0.1828454,0.17831664,0.1762328,0.17412437,0.1716805,0.17007126,0.1707903,0.17447655,0.18100417,0.19009298,0.20164812,0.2152546,0.22944099,0.24179232,0.2498246,0.2518883,0.24713232,0.23591693,0.2199707,0.20311268,0.18924178,0.18088329,0.17769402,0.17843641,0.18247513,0.19002675,0.20056266,0.21162061,0.22024198,0.22406995,0.22197944,0.2129008,0.19685318,0.17617102,0.15601155,0.14147502,0.1351553,0.13663988,0.14481188,0.15855533,0.17634052,0.19474512,0.20997667,0.21951516,0.22397913,0.2262243,0.22965528,0.23615468,0.24477689,0.2530748,0.25834063,0.25940716,0.25523666,0.24538417,0.23002024,0.21195291,0.1949298,0.18205644,0.17344894,0.16768442,0.16318713,0.15979098,0.15814847,0.1591586,0.16353184,0.17172776,0.1837954,0.19876647,0.2145999,0.22866501,0.23913069,0.24546356,0.24808551,0.24708562,0.2422421,0.23374303,0.2231617,0.21311344,0.20589036,0.20277278,0.20351708,0.2077551,0.21448861,0.22285368,0.2307878,0.23651065,0.23782946,0.23298669,0.22000371,0.19905369,0.1736569,0.1507179,0.1365316,0.13397849,0.14141907,0.15560292,0.17280984,0.18995558,0.20354716,0.21128689,0.21316022,0.2123171,0.21349788,0.22007181,0.23242676,0.24735112,0.2607878,0.26887706,0.2693882,0.26065335,0.24307317,0.21972926,0.19659644,0.17902671,0.1690166,0.16437554,0.1619889,0.16014521,0.15962344,0.16132955,0.16555756,0.17179783,0.18048768,0.19291739,0.2096662,0.22921036,0.24763787,0.261471,0.26851204,0.26843086,0.26067367,0.24557646,0.22546488,0.20553602,0.19084132,0.18319194,0.1807767,0.180961,0.18308806,0.187976,0.19589782,0.2049533,0.21190603,0.21356511,0.20778506,0.19411886,0.17464292,0.15412457,0.1383671,0.130982,0.13203092,0.13858707,0.14787537,0.1578278,0.16758788,0.1756078,0.1810809,0.18381494,0.1861961,0.19122912,0.20166934,0.21696027,0.23394631,0.24819279,0.25710332,0.25986704,0.25662485,0.24732377,0.23289661,0.21576409,0.1989709,0.18438433,0.17200918,0.16153769,0.15306325,0.14782964,0.14648448,0.14904237,0.15434773,0.16193812,0.1727814,0.1885184,0.20893659,0.2300322,0.24625911,0.25344333,0.25085416,0.23934813,0.22077674,0.19810106,0.17650104,0.16099896,0.15399225,0.15392846,0.15772577,0.1631727,0.16969949,0.17719144,0.18488534,0.19156353,0.19622631,0.19830221,0.19786437,0.19572951,0.19395523,0.19467169,0.19880998,0.20447284,0.20764321,0.20423473,0.19324605,0.17794292,0.16369314,0.15446289,0.15070607,0.15122475,0.15490435,0.16140069,0.16940325,0.17695121,0.18253833,0.18695045,0.19226174,0.20028265,0.21054094,0.22080328,0.22835164,0.23183207,0.23100549,0.22532433,0.21313834,0.19352335,0.16892569,0.14537098,0.12889908,0.12222458,0.124276996,0.13285185,0.14602013,0.16158444,0.17617701,0.1863526,0.19108959,0.1927154,0.19597946,0.20458414,0.2191149,0.23593278,0.25006327,0.25759983,0.2573786,0.24981128,0.23613109,0.21856628,0.20050238,0.18523191,0.17443411,0.16748436,0.16333695,0.16160884,0.16411074,0.17270039,0.18838686,0.20946407,0.23389663,0.2603666,0.28847277,0.31617537,0.3389751,0.35288158,0.35743245,0.35645124,0.35426226,0.3531148,0.35272622,0.35234225,0.35189378,0.3518908,0.35232493,0.35181203,0.34783432,0.3384365,0.32439852,0.30938256,0.29755008,0.2904532,0.2859576,0.28032267,0.2709635,0.2587054,0.24718224,0.24104746,0.24363287,0.25610712,0.27740487,0.30421448,0.3311377,0.35233727,0.3644954,0.368155,0.3663865,0.36132798,0.35357904,0.34312037,0.33158186,0.32145676,0.31480294,0.31187192,0.31172267,0.3131723,0.31584105,0.31981003,0.32536674,0.33121905,0.33406153,0.3279812,0.30850694,0.27661383,0.24211605,0.21815069,0.2136627,0.22704013,0.2498164,0.27294537,0.29210493,0.3065611,0.31670222,0.3223487,0.32386407,0.3229402,0.32239255,0.32380053,0.3266867,0.32898685,0.3298174,0.32986248,0.33040753,0.33107904,0.3301237,0.3257585,0.31769285,0.3068559,0.29470608,0.28207216,0.26911902,0.25541505,0.24151872,0.22931528,0.2216691,0.22048277,0.22602774,0.23736449,0.25298318,0.271121,0.28931358,0.30524278,0.3164203,0.3206711,0.3158879,0.3022752,0.283471,0.2658334,0.25452617,0.2506006,0.25152448,0.25433946,0.25767156,0.26101065,0.2634338,0.26400653,0.2627962,0.26024488,0.2550148,0.24457943,0.22816549,0.21072334,0.20033102,0.20381753,0.22117291,0.24726553,0.27435794,0.2966611,0.3110045,0.3179179,0.32008407,0.32119927,0.32362226,0.32803437,0.3337504,0.33978042,0.34533525,0.34940958,0.35074273,0.34758505,0.33922768,0.32683298,0.31399456,0.3043709,0.29908946,0.29526475,0.2880607,0.27430275,0.25512493,0.23538844,0.22103594,0.2158265,0.2208124,0.23462994,0.25541228,0.2798152,0.30376333,0.3224505,0.33353952,0.33690274,0.33423758,0.32647142,0.31461677,0.30087125,0.28919736,0.28331086,0.28359672,0.2873925,0.29060912,0.29156455,0.2906086,0.28983954,0.29036164,0.29161182,0.2901413,0.28099024,0.26135322,0.23408969,0.20816393,0.1932208,0.19499008,0.21277122,0.24228132,0.27665877,0.30884305,0.33182645,0.3429794,0.343865,0.34029832,0.3371975,0.3371595,0.33959937,0.34254715,0.34454083,0.34428346,0.3418555,0.33706918,0.33122614,0.32526648,0.32101786,0.31918648,0.31993306,0.32093596,0.31850576,0.30891815,0.29221323,0.27303195,0.25859126,0.2541212,0.26057026,0.27564892,0.29608586,0.31873843,0.33999848,0.3562424,0.3649148,0.36577177,0.36066866,0.35242823,0.34388658,0.33677483,0.3317801,0.32817224,0.32490835,0.3205183,0.31445074,0.3066069,0.29831436,0.29088342,0.28541377,0.28062877,0.27370235,0.26152894,0.24491166,0.2287277,0.22018342,0.22337143,0.23865676,0.26297125,0.2928174,0.32315037,0.348902,0.36592022,0.37460828,0.37790188,0.3794438,0.38027313,0.38068536,0.38061455,0.38050866,0.3798256,0.37770832,0.3735725,0.3683089,0.3636075,0.36105493,0.36087862,0.36168635,0.36098075,0.35569355,0.34321,0.32259384,0.29656318,0.27150205,0.25491175,0.25169405,0.2621945,0.2830499,0.30857274,0.33259544,0.34981677,0.35796842,0.35797277,0.35296953,0.34594652,0.3382521,0.32992518,0.3202416,0.30975983,0.29923767,0.29039553,0.28352782,0.27910414,0.27631915,0.27513337,0.27486143,0.27498344,0.27327275,0.2665675,0.2520233,0.23053308,0.20820482,0.19429632,0.19593006,0.21358413,0.24150836,0.27177405,0.29869217,0.31951055,0.33377743,0.34217295,0.34663424,0.3494724,0.35245457,0.3560488,0.35999528,0.36404383,0.36835906,0.37245634,0.37459508,0.37172756,0.36183536,0.34538618,0.32594097,0.3078464,0.29415408,0.28460893,0.27590927,0.26390168,0.24705516,0.22912538,0.21712719,0.21767884,0.23253493,0.25910538,0.29109213,0.32160962,0.34441742,0.35745957,0.3622973,0.3623351,0.3582509,0.3486167,0.3324739,0.31293058,0.2956368,0.28531528,0.28221235,0.28228882,0.28051928,0.27463332,0.2668742,0.26118848,0.25987074,0.26091945,0.25953278,0.2510211,0.23445332,0.21430731,0.19882344,0.19552617,0.20712967,0.23061366,0.25980583,0.28786048,0.3095131,0.3219243,0.32587788,0.32468808,0.32244942,0.32165292,0.32293716,0.32557037,0.32856873,0.33122417,0.33290395,0.33270183,0.32903874,0.32119036,0.31035918,0.2999201,0.29291984,0.28963622,0.28705573,0.28021634,0.26600572,0.2451502,0.22343867,0.20765482,0.20238976,0.20773794,0.22162896,0.24109006,0.26263297,0.2815133,0.29395175,0.29859164,0.2972263,0.29136166,0.28227544,0.27072844,0.2596697,0.25180477,0.2490154,0.25056526,0.25511387,0.26092398,0.2666268,0.27120784,0.27445748,0.27673128,0.27753243,0.27526832,0.2682819,0.25757128,0.24690908,0.2411021,0.24239314,0.24993454,0.26032713,0.2702202,0.2768775,0.27972385,0.27953956,0.2785038,0.27822676,0.28029168,0.28578612,0.29550764,0.30845687,0.32149652,0.33106074,0.33488274,0.33394834,0.33049402,0.32731387,0.32536137,0.32517853,0.32615027,0.32691982,0.32350218,0.31078184,0.28607333,0.25292125,0.22094761,0.1997404,0.19443206,0.20356923,0.22307523,0.2473718,0.2712579,0.2895541,0.30001482,0.30316567,0.30197665,0.29844275,0.29396972,0.28878203,0.28367305,0.27866352,0.2739482,0.2689887,0.26349247,0.25654447,0.24802203,0.23842372,0.22953546,0.22483571,0.23168617,0.2620375,0.32294884,0.40568516,0.4814093,0.52045435,0.5133144,0.47750488,0.43982363,0.41564453,0.40395287,0.3960689,0.38697574,0.3779966,0.3754106,0.38712987,0.41779998,0.46120194,0.49929276,0.51070964,0.48875543,0.4448831,0.401168,0.37164274,0.3587813,0.3562144,0.35766244,0.35856202,0.3583111,0.36115304,0.3759532,0.407094,0.44586897,0.47035554,0.46274164,0.4244752,0.37677923,0.34220636,0.3296735,0.33298323,0.34143248,0.3478628,0.35054433,0.3497357,0.34548128,0.3370796,0.325389,0.3131579,0.3038822,0.299655,0.30326837,0.32071066,0.35958657,0.4188734,0.48214936,0.52218825,0.5195449,0.47471344,0.40608075,0.33530083,0.27678534,0.23672032,0.21602541,0.21605693,0.2395525,0.29116166,0.3655877,0.4429911,0.49198428,0.49409723,0.45576167,0.4048505,0.36614564,0.34802434,0.34383234,0.3441137,0.34412304,0.34285676,0.33989215,0.33350757,0.32267928,0.30886677,0.29566965,0.28639284,0.28170356,0.282208,0.2910699,0.31567046,0.35681784,0.40276423,0.42896435,0.42001483,0.38134357,0.3385395,0.313478,0.3114207,0.32126126,0.33062294,0.33373728,0.33189225,0.3270161,0.31966433,0.30929482,0.29737195,0.28653225,0.279109,0.27620843,0.28096238,0.30060348,0.3411192,0.39561903,0.44111124,0.4522185,0.42651308,0.3900049,0.38007367,0.40898642,0.45468208,0.47503874,0.44795966,0.38513747,0.32232535,0.2862419,0.28004098,0.2890017,0.2983549,0.30289337,0.30618706,0.31683913,0.34437785,0.39050496,0.4422923,0.47422028,0.4681404,0.42810598,0.37780526,0.33911076,0.3174344,0.30521157,0.29425836,0.28324673,0.27459607,0.27298987,0.28397748,0.31533048,0.3655323,0.41941872,0.44881737,0.43781054,0.39381686,0.34577987,0.31711498,0.31328157,0.32293773,0.33340693,0.3379259,0.33621576,0.33007368,0.3217319,0.31311122,0.30657354,0.3039408,0.30549785,0.31086674,0.32250392,0.34894177,0.39800692,0.46471334,0.5248669,0.5483342,0.52156514,0.45658752,0.3798839,0.31254902,0.26367947,0.23376447,0.22220832,0.23076516,0.26379034,0.32351038,0.39960256,0.46808085,0.50137585,0.49084184,0.45002005,0.4055046,0.37448013,0.36026642,0.35568428,0.35361305,0.35044572,0.34529004,0.3385624,0.33034554,0.32146832,0.31307372,0.30665186,0.30276242,0.3027537,0.31052542,0.33255553,0.3689219,0.40749145,0.42647362,0.41293702,0.37360886,0.33139664,0.306396,0.3045402,0.31795987,0.3350458,0.34724402,0.35272184,0.35344627,0.35285684,0.35162762,0.3491262,0.3443098,0.3382444,0.33285025,0.3297744,0.3288578,0.32870728,0.32795787,0.32653964,0.3252989,0.32628313,0.33405864,0.3565052,0.3988991,0.45299098,0.4950839,0.4996238,0.46273294,0.40553,0.35855457,0.33631924,0.3336903,0.3359451,0.33396637,0.32713607,0.32199275,0.328278,0.35640648,0.40610126,0.46114162,0.49283603,0.48481056,0.4449902,0.40021572,0.37025905,0.35724187,0.35175833,0.3470107,0.34243786,0.33970082,0.34149632,0.35246038,0.37867966,0.41701293,0.45190707,0.4609754,0.43697175,0.39312124,0.35514334,0.33766553,0.33898076,0.34697926,0.3531102,0.3552355,0.35516873,0.35423115,0.35241863,0.34946033,0.345695,0.3420569,0.33885872,0.33814552,0.3456075,0.37206152,0.42201683,0.48572317,0.5361328,0.5486221,0.51529086,0.4505262,0.37616232,0.30997002,0.26071292,0.23080756,0.22037257,0.23074181,0.2666228,0.3288075,0.40383148,0.4626756,0.478515,0.44814214,0.3939891,0.3459275,0.31962702,0.31350288,0.31741026,0.3236138,0.328841,0.33221355,0.33268312,0.32894608,0.32093632,0.3107872,0.30205595,0.2978017,0.30003107,0.31095245,0.33421123,0.37024447,0.4104559,0.436015,0.4309497,0.39578858,0.35021257,0.31743142,0.30805978,0.3164566,0.3303455,0.34142175,0.3477951,0.3504916,0.34936193,0.3434898,0.33337024,0.32233238,0.3140664,0.31102476,0.3158147,0.3343747,0.37428465,0.43389234,0.49609175,0.5329605,0.5293953,0.49643958,0.4675199,0.46792898,0.4934145,0.51174575,0.49300632,0.4362731,0.3687637,0.321347,0.30415836,0.30663761,0.31163085,0.30997452,0.30318952,0.3002856,0.3129414,0.34789336,0.39927948,0.44694662,0.4679271,0.45272514,0.41154447,0.36496505,0.32906666,0.30827725,0.29906937,0.29587197,0.29635933,0.30196235,0.3179395,0.3473152,0.38418534,0.41122714,0.40993443,0.37610587,0.32583234,0.28419694,0.26774964,0.27575126,0.29634476,0.3167715,0.3308405,0.33811486,0.34084263,0.33995113,0.33520472,0.3266747,0.3166146,0.30778006,0.3025603,0.30416527,0.31989908,0.35765886,0.41490984,0.47183692,0.49980518,0.48344907,0.43126455,0.3677595,0.31322408,0.2749113,0.25087422,0.23811902,0.23763005,0.2540426,0.2949604,0.3609365,0.43839407,0.49840283,0.51658285,0.48953602,0.4380536,0.38741696,0.35122287,0.32802013,0.3115078,0.29799867,0.2875558,0.28120196,0.27949503,0.28237304,0.28846553,0.29502988,0.29876962,0.3002477,0.30587366,0.32656682,0.3661336,0.4126213,0.4393048,0.42457104,0.36986193,0.30064416,0.24688564,0.22318256,0.2249413,0.23786831,0.24976857,0.25509834,0.25438964,0.25155374,0.25164852,0.25829473,0.27148998,0.2867731,0.29831398,0.302616,0.30041823,0.2937211,0.28312024,0.26775694,0.24833381,0.22835623,0.21442513,0.21578167,0.24375649,0.3021356,0.37819898,0.44128624,0.4644351,0.44353196,0.40106717,0.3644683,0.34711477,0.3446653,0.34611714,0.3443062,0.33947816,0.3382571,0.35046372,0.3818294,0.4261719,0.4645222,0.4773358,0.4600667,0.4257575,0.3926457,0.36933458,0.3533628,0.33936188,0.32566476,0.31359288,0.30512115,0.3040785,0.31834328,0.35265723,0.39971182,0.43625343,0.4406958,0.4100267,0.36507717,0.33173004,0.32281414,0.33307827,0.34943995,0.36209357,0.36780068,0.36726758,0.36197686,0.35319886,0.34289372,0.33289084,0.32471734,0.31963524,0.32222688,0.3407744,0.3818148,0.43816504,0.48669705,0.4999186,0.46879974,0.40772888,0.3437601,0.2947674,0.26462886,0.2483548,0.24214868,0.24828275,0.2736416,0.32496285,0.39506578,0.4608736,0.4919859,0.47722816,0.4311683,0.38395247,0.354831,0.3451104,0.34505472,0.34727478,0.34987554,0.35256806,0.3540419,0.3522025,0.34735778,0.34183037,0.33879137,0.3389975,0.3415462,0.34659815,0.35878077,0.38491166,0.42372856,0.46044552,0.47219947,0.449162,0.40328023,0.36076558,0.3394053,0.3397586,0.35104987,0.3636042,0.37370118,0.38000596,0.38120982,0.37530947,0.36347532,0.34912112,0.33666602,0.32746494,0.3227407,0.32670683,0.34854886,0.3926969,0.44916907,0.4930338,0.5022708,0.4781359,0.44678962,0.43918717,0.46145645,0.49038386,0.49091327,0.44986975,0.3841728,0.3270543,0.2989951,0.29789296,0.30767676,0.31458133,0.3146688,0.31278542,0.31934282,0.34640995,0.39690158,0.4571868,0.49843845,0.49905744,0.45996153,0.40431973,0.35572317,0.32360336,0.30426764,0.29139647,0.28254962,0.277335,0.2777215,0.28851616,0.31743035,0.36382505,0.41291556,0.43855104,0.42603537,0.38336548,0.3377849,0.31154728,0.309239,0.31984743,0.33069173,0.33600184,0.33565485,0.33132693,0.32354164,0.31345698,0.30309415,0.29485476,0.28954026,0.28837955,0.29637435,0.3241768,0.37864098,0.45078072,0.51223516,0.533112,0.50418675,0.44235894,0.37435934,0.3182055,0.27969012,0.2594945,0.25821364,0.27712998,0.31628177,0.37262562,0.4340807,0.48115936,0.49603963,0.47854605,0.44492093,0.41647676,0.4023315,0.3996911,0.4002972,0.39907077,0.39454862,0.38705897,0.3774408,0.36653316,0.35513088,0.343805,0.33332357,0.32556906,0.32500982,0.3380672,0.36995777,0.41460404,0.4530779,0.46047866,0.42811695,0.37018716,0.3159199,0.28596666,0.28300083,0.2953852,0.3101218,0.3195947,0.32267714,0.32101133,0.31661797,0.31025496,0.30290452,0.29605684,0.29056287,0.28553596,0.27853203,0.2693817,0.2603147,0.25495926,0.25404432,0.25536537,0.25711545,0.2624478,0.28080174,0.3186927,0.36933598,0.4092473,0.4152815,0.3844527,0.3387986,0.30613783,0.29860523,0.30816194,0.3198423,0.32472506,0.32349166,0.32330573,0.3347714,0.36751357,0.4194723,0.47167507,0.49521342,0.475342,0.42332777,0.36819735,0.3319793,0.31744534,0.31424358,0.312169,0.3079816,0.30403686,0.30607593,0.3213878,0.35340968,0.39459923,0.4253862,0.4262967,0.39468405,0.34804788,0.31083703,0.29562315,0.29890382,0.30838776,0.31447387,0.3133982,0.30676207,0.29787785,0.29036328,0.28581426,0.2843685,0.2848024,0.28662702,0.29192165,0.30731368,0.34151176,0.39435637,0.44903088,0.47675642,0.45968795,0.40531877,0.3401312,0.28751838,0.2547697,0.23894686,0.23571062,0.24625218,0.27449608,0.32649454,0.3988063,0.47285983,0.5167799,0.5104448,0.46125963,0.40079442,0.3577573,0.34150228,0.34345737,0.35143843,0.3578838,0.3609942,0.36175695,0.36151746,0.3602358,0.3564849,0.3496357,0.3406894,0.33208683,0.32648465,0.32833228,0.34425104,0.37728378,0.41838953,0.44552898,0.4389956,0.39901134,0.3475696,0.31139505,0.30236205,0.31421694,0.33155504,0.34265578,0.34393966,0.3385869,0.3310412,0.32311356,0.31394228,0.30250093,0.28979203,0.27869567,0.2742066,0.28430703,0.31806388,0.3758657,0.44202375,0.48767915,0.49422184,0.46859846,0.44345176,0.44505998,0.4722867,0.4938023,0.4810256,0.43177012,0.37144384,0.3272538,0.30803737,0.30564666,0.3078512,0.30907354,0.3098048,0.31572616,0.33616623,0.37911245,0.4409231,0.50079864,0.5312506,0.51778454,0.46968862,0.41111824,0.36278126,0.33139005,0.31335974,0.3027711,0.29780567,0.3009099,0.31832802,0.35351732,0.39875922,0.43315545,0.4341099,0.3978541,0.34335122,0.2994779,0.28159082,0.28595927,0.29799446,0.30676314,0.30990937,0.3097677,0.30815247,0.30433583,0.2975289,0.2881578,0.2777234,0.26767445,0.26106933,0.264534,0.28818175,0.3373735,0.4029753,0.45938966,0.4795029,0.45548308,0.4040245,0.35174707,0.31391463,0.2901305,0.27343267,0.26097298,0.25658894,0.2674632,0.30147287,0.35719454,0.4184567,0.45570123,0.44849196,0.40104103,0.34059444,0.2938006,0.26990184,0.2621682,0.2601451,0.25884795,0.2576374,0.25801376,0.261374,0.26935267,0.2820537,0.29705498,0.30952033,0.31719908,0.32413396,0.34123436,0.3735036,0.4108852,0.4271339,0.40329537,0.34413326,0.2793645,0.23742469,0.22754188,0.23759818,0.25122893,0.25869286,0.25978044,0.25793472,0.25757495,0.26225582,0.27383885,0.2906816,0.30723006,0.31763723,0.31917688,0.31392005,0.30542365,0.29616055,0.2868605,0.2781899,0.2713087,0.26932034,0.27869645,0.30940107,0.36290002,0.42300677,0.4574044,0.4458864,0.39787057,0.34785318,0.32240364,0.3229572,0.3319962,0.33504644,0.33023712,0.32480872,0.32811236,0.3479849,0.38636497,0.43213165,0.46254274,0.4569689,0.4160081,0.36154845,0.31998944,0.3017788,0.3004247,0.3040065,0.30635083,0.30694684,0.30792964,0.3130876,0.3300792,0.36282334,0.4034872,0.42961589,0.42250362,0.38345897,0.33504084,0.30108482,0.28930458,0.29194555,0.29743063,0.30086315,0.30283502,0.30500796,0.30653146,0.3051472,0.29995432,0.2922863,0.28488758,0.2811147,0.28681967,0.31082582,0.3579583,0.41741657,0.46161476,0.46310398,0.41850698,0.35082093,0.2906973,0.25314832,0.2359246,0.23074311,0.23401058,0.24872212,0.28117177,0.3359932,0.40540433,0.46684965,0.49282053,0.47452542,0.4282854,0.38247636,0.35320643,0.3385322,0.32865018,0.31825855,0.3086666,0.3022337,0.2997673,0.29997936,0.3014504,0.30260757,0.30288863,0.30255845,0.30297017,0.30699477,0.32006705,0.3481748,0.38883868,0.42617333,0.43673393,0.41016543,0.35862064,0.30887565,0.27982047,0.2724533,0.27526617,0.27719286,0.2742668,0.2681881,0.2625841,0.25984848,0.26060143,0.26402858,0.26871026,0.27275768,0.27620324,0.28382537,0.30775452,0.35786453,0.43013635,0.49864593,0.532509,0.5194786,0.48046514,0.4527092,0.4578661,0.48290476,0.49252036,0.46281648,0.40127572,0.3378955,0.29800162,0.2859038,0.28980458,0.2959231,0.29856312,0.30120727,0.31448373,0.3509073,0.41285124,0.48500744,0.5360875,0.54240924,0.50291824,0.44134983,0.38384947,0.34465787,0.3228645,0.31285426,0.31036234,0.31393015,0.32378045,0.34263685,0.37316945,0.41118184,0.44100598,0.44304994,0.41055122,0.35784936,0.31039152,0.2854456,0.28266767,0.2906632,0.2984203,0.3018198,0.3019178,0.30184534,0.3035718,0.30727038,0.31102476,0.3122479,0.30916324,0.30406067,0.30565596,0.32756802,0.37621287,0.43885803,0.48395196,0.48388076,0.4366407,0.36628017,0.30090168,0.2538865,0.2247367,0.20989235,0.21021484,0.23054479,0.27617216,0.34582886,0.42406467,0.4832178,0.50004643,0.4740164,0.42752102,0.38752624,0.3665153,0.3604107,0.3586032,0.35430157,0.34645763,0.33693993,0.3280001,0.32073122,0.31540474,0.31129333,0.30801043,0.30645832,0.3104352,0.32640848,0.3591441,0.40245283,0.43647885,0.4372884,0.39847413,0.3377284,0.2855523,0.26041666,0.26037192,0.26980814,0.27498493,0.27090064,0.26051155,0.24943127,0.24221899,0.24049872,0.24333107,0.2481889,0.25251874,0.255071,0.2562438,0.25724924,0.25847176,0.2587931,0.2569279,0.25283447,0.2504909,0.25772944,0.2859876,0.34023583,0.4104689,0.46858487,0.48689112,0.45853493,0.404214,0.35393646,0.32468343,0.3139598,0.3099563,0.3052757,0.30062273,0.3032683,0.32242918,0.36546585,0.42804456,0.49016643,0.52259296,0.5088498,0.45765463,0.39657593,0.35002115,0.32559666,0.3170847,0.31468835,0.3122351,0.30867922,0.30901608,0.32313824,0.35695565,0.40228102,0.4353136,0.43431497,0.39819595,0.3491589,0.3133347,0.30167833,0.30695027,0.31550074,0.3183515,0.31398454,0.3053265,0.29653144,0.29113805,0.29105318,0.29592985,0.3032367,0.31024095,0.3183892,0.33589318,0.3733891,0.42999792,0.48572803,0.5097013,0.48516187,0.4226656,0.3512635,0.29504585,0.26085836,0.24362998,0.23721594,0.24189277,0.26412824,0.31319073,0.38836646,0.4699583,0.52259916,0.5210483,0.47009635,0.4019698,0.34893528,0.32242784,0.313764,0.30970302,0.30396894,0.29714563,0.291692,0.28832105,0.2862196,0.28400305,0.2810929,0.27741885,0.2734965,0.27134028,0.27654234,0.2987423,0.34219348,0.396691,0.43525672,0.43431893,0.3918705,0.3315306,0.28202096,0.2580017,0.2556307,0.26266837,0.26960206,0.27278766,0.27279136,0.27093863,0.268458,0.26642087,0.26624322,0.2687722,0.2745713,0.2859353,0.30913675,0.35191396,0.41312596,0.47697178,0.5164055,0.5161143,0.48493528,0.45696175,0.4597819,0.49409953,0.52665186,0.52264315,0.47192168,0.39779946,0.3332025,0.2968916,0.2865006,0.28889766,0.29324785,0.29658958,0.3037925,0.3253319,0.36843207,0.42846143,0.4842728,0.5117228,0.49973723,0.4582428,0.40738735,0.36347702,0.33255664,0.31341597,0.3025812,0.2977116,0.30053213,0.31722215,0.35212037,0.3967879,0.42860365,0.42444146,0.38182974,0.32152987,0.27239206,0.24871282,0.24650212,0.2521033,0.25585338,0.25525045,0.2527876,0.25132558,0.25260758,0.25654793,0.2620629,0.26698127,0.26949057,0.26962984,0.2729856,0.2917123,0.3376061,0.408697,0.48171553,0.52342576,0.51371425,0.4583241,0.38150898,0.3067011,0.24688314,0.20529447,0.18162046,0.17621033,0.19190656,0.23464215,0.30288634,0.38024017,0.43495783,0.44379488,0.40829638,0.35513124,0.3108472,0.2850627,0.27059397,0.25798756,0.24473138,0.23429984,0.2304395,0.23384857,0.2419529,0.25042087,0.25428757,0.25042406,0.24226065,0.24130474,0.26410142,0.31493476,0.37735927,0.4156456,0.40440723,0.34586182,0.27056283,0.21006961,0.17865352,0.17130925,0.17538722,0.18076842,0.18217845,0.18021043,0.17887767,0.1829651,0.1930639,0.20493197,0.21218663,0.21145605,0.20415018,0.19503288,0.18841588,0.18600786,0.18641408,0.18709104,0.1862427,0.18738312,0.20051652,0.24074137,0.31240955,0.39889124,0.46259892,0.47374725,0.43231347,0.37026677,0.3239218,0.30960765,0.31972483,0.33604726,0.3456899,0.34686884,0.3487697,0.36470518,0.40128133,0.44932213,0.4857258,0.49057114,0.46260142,0.41958392,0.38165495,0.35810736,0.34614515,0.34004095,0.3355055,0.3311055,0.32752845,0.32955995,0.34547922,0.37728468,0.41384888,0.43066105,0.41167417,0.36284044,0.31136197,0.281363,0.27810284,0.29017088,0.30367652,0.31249103,0.31601474,0.31566063,0.31156728,0.30460343,0.29663053,0.29013643,0.28654385,0.28718624,0.29680073,0.32462952,0.37619618,0.441851,0.49464068,0.5077201,0.47515437,0.41569278,0.35556045,0.30930868,0.27794394,0.25852594,0.25252017,0.2656536,0.30369338,0.36683682,0.44196534,0.5023547,0.52061623,0.49055958,0.43382525,0.38350913,0.3588194,0.35601363,0.35996315,0.35970116,0.3540573,0.34658873,0.3401338,0.33521655,0.3309492,0.32651475,0.32121214,0.3156552,0.3114016,0.31262216,0.3250693,0.35398266,0.3951584,0.43191597,0.44131386,0.4137138,0.3618635,0.31283852,0.2861909,0.28301725,0.29189375,0.30197093,0.30969274,0.31566218,0.32095924,0.32548964,0.32959124,0.33320436,0.33575928,0.3355448,0.33436263,0.33911493,0.36272764,0.41132936,0.4751835,0.52500445,0.5343305,0.501563,0.45766494,0.4411192,0.46519876,0.50736123,0.5283749,0.50739604,0.4529918,0.39391637,0.35148144,0.33106634,0.32331625,0.3191431,0.3146725,0.31449345,0.32732576,0.36219895,0.4174837,0.47661552,0.51216143,0.50669193,0.46432352,0.4080956,0.35991356,0.32832173,0.30972788,0.2978693,0.29027894,0.28752017,0.29262105,0.31008318,0.34298775,0.3851812,0.41828176,0.42105952,0.38721737,0.3325062,0.28294536,0.25477326,0.24641639,0.24670476,0.24734432,0.24722075,0.2485408,0.25178698,0.2551564,0.25665882,0.2566369,0.2568672,0.25821579,0.26164076,0.27234885,0.3028501,0.36032557,0.43269095,0.48547313,0.48781824,0.43730912,0.3617501,0.29373255,0.247315,0.2193625,0.2028482,0.19941069,0.21716644,0.26538602,0.34307992,0.43303907,0.50440675,0.5312566,0.5101387,0.46075413,0.40951777,0.37150267,0.34814322,0.33379814,0.32395256,0.3164824,0.31017733,0.30420625,0.29783964,0.29176405,0.28699312,0.2847726,0.28623125,0.29450703,0.315456,0.3529528,0.39936176,0.4330962,0.43066874,0.3874155,0.3230083,0.2676081,0.2396126,0.23795283,0.24987876,0.2626002,0.26989916,0.2709874,0.26902816,0.26779827,0.27013877,0.27591464,0.2828571,0.28831825,0.29153728,0.2934614,0.29561138,0.29837427,0.30126584,0.30343485,0.3047826,0.30758122,0.3180687,0.3460181,0.39580536,0.45717683,0.5033502,0.5087201,0.46881273,0.40621245,0.35357913,0.33038154,0.3345534,0.3496443,0.36119887,0.3642303,0.3654966,0.37693414,0.40920183,0.46009246,0.512095,0.5385785,0.5245281,0.47581804,0.41602984,0.36684343,0.3382487,0.32734838,0.32706964,0.33108127,0.33740565,0.34874025,0.3712407,0.40642643,0.4442618,0.46421325,0.4508852,0.40827587,0.35818097,0.32309553,0.31056237,0.3138974,0.32179868,0.32732093,0.32863653,0.32723376,0.3255845,0.325549,0.32735977,0.32951283,0.3305856,0.33078945,0.33461308,0.35050476,0.3874575,0.4436382,0.5006683,0.52895546,0.5096542,0.44799647,0.3696768,0.3006827,0.25429174,0.23191498,0.23028503,0.24821496,0.2863818,0.34728873,0.42540023,0.50338936,0.5534585,0.55776703,0.5196833,0.46273246,0.41106212,0.37736797,0.36130404,0.35663787,0.35667834,0.3563775,0.35369897,0.3494163,0.34613922,0.34559345,0.34760532,0.3506155,0.35314777,0.35613164,0.36338648,0.38203216,0.4136754,0.44872394,0.46554387,0.44905123,0.4038012,0.35333765,0.31949976,0.30798814,0.3097901,0.31382442,0.31548214,0.3157427,0.3164638,0.3176318,0.3176887,0.315325,0.31017146,0.30345318,0.29823253,0.3005428,0.3182578,0.35620654,0.40778363,0.45338485,0.47033095,0.45318928,0.42089912,0.4071864,0.430848,0.48206067,0.5252983,0.531065,0.4942309,0.43795362,0.38914216,0.36192885,0.3518231,0.3476242,0.34125912,0.3337051,0.3335484,0.35214218,0.39211246,0.4395084,0.46682724,0.45353797,0.403783,0.34469232,0.30491138,0.29416585,0.3030332,0.31542292,0.32220098,0.32405993,0.32926762,0.34809992,0.38379964,0.42537728,0.4491185,0.43621597,0.38881934,0.33025095,0.2862999,0.2677953,0.26899406,0.27723417,0.28330365,0.28380582,0.28001812,0.2745218,0.26938137,0.26533183,0.2623738,0.26038364,0.2591699,0.26017556,0.26900104,0.29636326,0.34988126,0.4227818,0.48902404,0.51774585,0.4937997,0.42823485,0.34734246,0.2746561,0.22072995,0.18547761,0.16540354,0.1601122,0.17468686,0.21791203,0.28987214,0.37413582,0.43784106,0.45530605,0.42284194,0.36267078,0.3011873,0.2550879,0.22572829,0.20801824,0.19644117,0.18845522,0.1838218,0.18417622,0.19013816,0.20004523,0.20895962,0.21360807,0.21684015,0.22948408,0.26445332,0.321776,0.38187638,0.41036773,0.38682857,0.31996885,0.24549742,0.19620265,0.18362874,0.19684099,0.21831514,0.2364518,0.24852104,0.2572465,0.26558506,0.27437806,0.2821673,0.28663424,0.28621677,0.28138188,0.27497232,0.27043185,0.2694637,0.2710365,0.27304432,0.27416134,0.27480304,0.2792922,0.29646635,0.33809093,0.40519652,0.4811474,0.53301984,0.5376003,0.49656308,0.4376216,0.38966155,0.36572722,0.36003777,0.36014602,0.3579129,0.35326925,0.35355958,0.36952984,0.4066547,0.45665684,0.4968755,0.50591516,0.47956476,0.43379495,0.3896304,0.35822344,0.33837613,0.32404077,0.3112819,0.29919747,0.2905154,0.29159865,0.31164524,0.3519065,0.39955816,0.42920557,0.42436373,0.38924024,0.34733304,0.31942093,0.31217158,0.31805438,0.32731736,0.33343112,0.3348393,0.3318914,0.32648975,0.32020292,0.31477484,0.31056288,0.30773687,0.30771843,0.31663826,0.34508088,0.39922556,0.47026873,0.5315154,0.55396557,0.5257563,0.45903286,0.3795825,0.30920836,0.2598091,0.23304491,0.22816129,0.24507181,0.2875702,0.3569039,0.44167623,0.5150532,0.5468629,0.5274543,0.47407782,0.42002943,0.38783407,0.38040447,0.38471234,0.38839063,0.3862795,0.38040796,0.37354818,0.36622486,0.35748637,0.34728655,0.337463,0.32980525,0.32593808,0.32862377,0.34421077,0.37715438,0.42157912,0.45737478,0.462765,0.432243,0.38256717,0.33910263,0.31636003,0.31217143,0.31568724,0.3191702,0.32088837,0.32232738,0.32359982,0.3232095,0.31931219,0.31201234,0.30313048,0.29523432,0.29234874,0.30095544,0.33032966,0.3807625,0.4375216,0.47109246,0.46412882,0.42629018,0.394004,0.39734638,0.43600872,0.4788872,0.4908996,0.4624382,0.41054738,0.36395302,0.33821237,0.33394656,0.34088266,0.349831,0.35572994,0.36111352,0.37470058,0.40515402,0.44989857,0.49114737,0.50567,0.4838747,0.4368973,0.38748506,0.35178676,0.3327969,0.3244127,0.32011104,0.3160361,0.31246498,0.31392828,0.32904163,0.36275765,0.40834752,0.44443992,0.44953147,0.41843405,0.36894676,0.3268489,0.3079846,0.31055912,0.3229377,0.3343927,0.34015504,0.34012726,0.33557618,0.32802203,0.31962225,0.31298593,0.30957338,0.30832866,0.30992022,0.32078508,0.35429442,0.41627553,0.49415863,0.55461663,0.56815577,0.52806044,0.45566556,0.3791789,0.317004,0.27307504,0.24579002,0.23584647,0.24860728,0.2913626,0.36297324,0.4462529,0.5098934,0.52992946,0.5066752,0.46391818,0.4270916,0.4061396,0.39584672,0.38690886,0.37501696,0.36072716,0.34685957,0.33536744,0.3271974,0.32219544,0.32039812,0.32084367,0.32306698,0.32838002,0.34295437,0.37164184,0.40877232,0.4344176,0.42772487,0.38606277,0.32907984,0.28391978,0.26506552,0.2693374,0.2838597,0.29724216,0.30452695,0.3058982,0.30361614,0.2992333,0.2937102,0.28794754,0.28335178,0.28063795,0.27966297,0.27931473,0.27901992,0.27874073,0.27949572,0.28157666,0.28456458,0.2887958,0.29924515,0.32567164,0.3727989,0.43005598,0.47018757,0.46896443,0.4240559,0.3591517,0.30541563,0.28080726,0.28364465,0.29979515,0.31552628,0.32482794,0.3324773,0.3507563,0.39015552,0.44676456,0.49964824,0.5223289,0.5046004,0.4572941,0.40346313,0.35862282,0.32745847,0.30720887,0.2951186,0.28890446,0.28773332,0.29444167,0.31654242,0.35722542,0.40686485,0.4412662,0.44119632,0.40710238,0.3617779,0.32956254,0.3208531,0.32882446,0.34102714,0.34873796,0.34993696,0.34595957,0.33869967,0.32913646,0.31871012,0.3088355,0.3011836,0.29665956,0.29957268,0.31783262,0.3603581,0.4229759,0.48531398,0.51743317,0.5042208,0.45264962,0.38644376,0.3255475,0.27993223,0.25118467,0.2390395,0.24528813,0.27425984,0.3318456,0.41233334,0.49311566,0.54013443,0.53644854,0.49414894,0.44591627,0.4148606,0.40312913,0.39861956,0.3924298,0.38359585,0.37554967,0.3696222,0.36437157,0.35698128,0.3460618,0.3326176,0.31933305,0.30882326,0.3039333,0.30945382,0.33273056,0.37412563,0.42058936,0.44640133,0.43520895,0.39282998,0.3455852,0.31679073,0.3129313,0.32455978,0.33856538,0.3468769,0.34716177,0.34127608,0.33200434,0.32273862,0.3159591,0.31341898,0.31454122,0.31804168,0.325496,0.34391987,0.38037586,0.42915532,0.46913722,0.476048,0.44843093,0.4107935,0.39834002,0.42103735,0.45859298,0.4722524,0.44352746,0.3820261,0.32007244,0.28161576,0.2735423,0.285422,0.30423787,0.32042566,0.33213082,0.34483752,0.36852822,0.40674064,0.44859007,0.4713423,0.4607532,0.42389855,0.3843244,0.35966015,0.34993687,0.3437238,0.33277485,0.31760943,0.305235,0.30426052,0.3236221,0.3639009,0.4121079,0.44217587,0.43522164,0.39412937,0.34336963,0.30838916,0.2993939,0.30960926,0.32564378,0.33751643,0.34242854,0.34205827,0.33881533,0.33278248,0.324248,0.3149091,0.30835393,0.3065896,0.31077,0.3238258,0.35210904,0.3974116,0.44770733,0.47778824,0.46769926,0.42025828,0.3599105,0.31207183,0.28545046,0.27313375,0.2657447,0.2613443,0.26578033,0.28746262,0.33214733,0.39490104,0.45885587,0.49987602,0.5041006,0.47486258,0.43062946,0.3887596,0.35813153,0.33819973,0.32538715,0.31657133,0.31054285,0.3074719,0.3083382,0.3128362,0.31936654,0.3246528,0.32745972,0.33053473,0.34156874,0.36845374,0.40869495,0.44587913,0.454851,0.42396855,0.3637043,0.30265298,0.26407498,0.25452983,0.26439,0.2799566,0.29205742,0.29776552,0.2989597,0.29884312,0.30112043,0.30741635,0.3169578,0.3261461,0.33178174,0.33263594,0.32990316,0.3248706,0.31834874,0.31058836,0.30273578,0.2970787,0.29926708,0.31745824,0.35924944,0.42013654,0.48071977,0.5123535,0.5005403,0.45350727,0.39850426,0.3579594,0.339474,0.33572045,0.33695063,0.33721113,0.33745578,0.3438379,0.36531034,0.4045441,0.45201597,0.4868761,0.4928951,0.47022748,0.43421662,0.40069366,0.37507972,0.35496047,0.3371049,0.32181862,0.31047904,0.3056886,0.31219053,0.33621505,0.3761394,0.41760817,0.4376147,0.4241872,0.38544762,0.34523806,0.32184044,0.3183364,0.32474864,0.3311548,0.33308038,0.3308309,0.32505906,0.31620488,0.30535305,0.29487416,0.28694126,0.28276095,0.28419116,0.2970799,0.3312849,0.39103583,0.4638437,0.5199931,0.5320871,0.4953209,0.42912233,0.35983428,0.30316576,0.26415858,0.24252947,0.24007435,0.2587777,0.30222416,0.3673437,0.44045362,0.49536863,0.5110929,0.48597714,0.43996963,0.39689842,0.36961317,0.35786888,0.35576507,0.35806012,0.3608757,0.36192796,0.35948285,0.35267437,0.34044337,0.3234767,0.30452308,0.28855637,0.28112438,0.28781506,0.31368962,0.35814166,0.40969718,0.44618043,0.44868934,0.41622767,0.3679576,0.3281853,0.30959976,0.3092815,0.31646,0.32275808,0.32509997,0.32434964,0.32126033,0.3159548,0.30812177,0.298933,0.2905083,0.2852244,0.28621987,0.29908824,0.33170626,0.3849206,0.44512174,0.4851307,0.48622832,0.45463082,0.42215165,0.4170152,0.4404501,0.46353236,0.45607552,0.41299438,0.35850373,0.32233584,0.3160613,0.32912064,0.34345555,0.34836546,0.34507468,0.3431342,0.35542336,0.39007875,0.44112536,0.48628315,0.4999378,0.47425982,0.42531583,0.37932968,0.3513074,0.33959484,0.33484295,0.33088958,0.32674137,0.32456517,0.3287556,0.34637246,0.38037124,0.422846,0.45301104,0.4525598,0.41996264,0.37430003,0.33895603,0.32537624,0.32868293,0.33679843,0.34089065,0.33856383,0.33157134,0.32261857,0.31388417,0.30689085,0.30193624,0.29813716,0.29431823,0.29312643,0.30391464,0.340649,0.4073451,0.48693538,0.5434614,0.54821754,0.5001127,0.42523655,0.35345188,0.29981592,0.26469156,0.24423458,0.23961706,0.256721,0.3013797,0.36937687,0.44053236,0.48566437,0.48667932,0.45193484,0.40822598,0.37915722,0.36931983,0.37032723,0.37283137,0.3742318,0.37485862,0.37473798,0.3717853,0.36499467,0.35469675,0.3436323,0.3340126,0.32902703,0.33292815,0.35246554,0.38897166,0.43120387,0.4554743,0.4424912,0.39443788,0.33516404,0.292303,0.27834916,0.28835213,0.3087592,0.32776585,0.3387592,0.33998987,0.33299807,0.32108188,0.30795622,0.29656276,0.287972,0.28131866,0.27507135,0.26883098,0.26426816,0.26314676,0.26599896,0.2707983,0.27551576,0.2811289,0.29426578,0.32488477,0.3740412,0.4261907,0.45178616,0.43335786,0.38068357,0.3270606,0.29965973,0.30219302,0.31856453,0.33163685,0.3350937,0.33304438,0.33539498,0.35310414,0.3917346,0.44283557,0.48352608,0.48987994,0.45695427,0.4022204,0.35183385,0.3199239,0.30525553,0.29902467,0.29576743,0.29423746,0.29649612,0.306379,0.3307749,0.37080404,0.4160672,0.44256184,0.43333647,0.39166212,0.34318364,0.31260285,0.30819845,0.3197173,0.33257797,0.33839568,0.33662343,0.33002937,0.32058808,0.30922678,0.29693484,0.28569043,0.27747166,0.27440903,0.28038812,0.30266872,0.34628227,0.40401384,0.45319915,0.46826527,0.44099665,0.38554177,0.32629272,0.2793924,0.24903278,0.23328398,0.2314847,0.24649046,0.2832848,0.3440661,0.41834995,0.48049387,0.50227726,0.4763037,0.42319337,0.37539744,0.35129842,0.34783688,0.35169196,0.35411096,0.3540602,0.3537017,0.35395166,0.35431862,0.35432598,0.35449243,0.35551193,0.35682246,0.35646585,0.35482523,0.35759446,0.37439516,0.40643188,0.43983105,0.4500103,0.42464033,0.37509385,0.32959437,0.30877265,0.31327328,0.32934225,0.34354925,0.35068247,0.35148165,0.34786025,0.34056094,0.33006322,0.31800282,0.30656275,0.2978365,0.2941693,0.3012853,0.32809165,0.37911728,0.4437934,0.49530938,0.50781316,0.47940373,0.43783286,0.41966546,0.43699887,0.46752515,0.47346413,0.43798897,0.3768212,0.32280707,0.29675874,0.29708567,0.3093671,0.3210896,0.32799384,0.33302572,0.3438274,0.3710318,0.41773453,0.4730296,0.51035804,0.50902164,0.46847877,0.4119172,0.36482862,0.33972648,0.3327135,0.33404753,0.33645537,0.33870375,0.3452982,0.36491457,0.40011314,0.44008854,0.46047804,0.4442966,0.39625585,0.34222212,0.30702236,0.29881266,0.30908188,0.32438943,0.3357217,0.34004423,0.3385302,0.33380416,0.32846686,0.3236896,0.3197789,0.31603202,0.31201175,0.30896392,0.31309,0.3346927,0.37843952,0.43270814,0.47010243,0.46773076,0.42582166,0.36710486,0.31630716,0.2832099,0.26419917,0.25293693,0.24818732,0.25360316,0.27541164,0.3179544,0.37539625,0.42955422,0.45700034,0.44762352,0.4098867,0.36433208,0.3256818,0.2981662,0.27869394,0.26461616,0.25487676,0.24877447,0.24575567,0.2465534,0.2519413,0.26075944,0.26836693,0.27158087,0.273079,0.28319457,0.31220242,0.35745826,0.39937818,0.41050196,0.37942973,0.3189686,0.25843683,0.2194755,0.2064234,0.20967747,0.21824507,0.2262256,0.23267995,0.2388127,0.24566905,0.2541472,0.26438347,0.27509603,0.28326118,0.28634754,0.28459466,0.28062412,0.27722442,0.27529934,0.27470046]