[0.011321599,0.010963134,0.010743678,0.011791851,0.014625209,0.018728204,0.02296021,0.027045554,0.03204101,0.039945196,0.051204454,0.065057755,0.07976664,0.095582366,0.112610884,0.13088638,0.14845121,0.16408937,0.17700692,0.18689625,0.19283508,0.19414721,0.19182432,0.18835105,0.18630648,0.18661587,0.18831454,0.18982546,0.19011517,0.18945606,0.18848741,0.18765406,0.18676443,0.18610317,0.18643771,0.18789853,0.18800865,0.18222655,0.16797258,0.14815296,0.13081859,0.12317208,0.12606086,0.1336986,0.13892812,0.14011835,0.14110635,0.14666899,0.15522428,0.15954266,0.15268765,0.13596986,0.1194889,0.115580924,0.13064785,0.16228478,0.20264556,0.24329527,0.2777933,0.30260167,0.31707168,0.3232442,0.32381704,0.32112634,0.31684744,0.3130657,0.31147823,0.31279442,0.31547165,0.31723586,0.31526175,0.30893967,0.2990612,0.2887939,0.28011408,0.273751,0.26834938,0.2635366,0.26069152,0.26204523,0.26797917,0.27578405,0.2817919,0.28315726,0.27810118,0.26463866,0.24222086,0.21418113,0.18782036,0.16942681,0.1602097,0.15589648,0.15122207,0.14293785,0.13077143,0.115736134,0.09922531,0.08302359,0.069508694,0.06148714,0.060165223,0.06486477,0.07286041,0.08305756,0.09563436,0.11196914,0.12992604,0.14577372,0.1551416,0.15705483,0.15123646,0.13842058,0.1208858,0.106519096,0.1067552,0.12962738,0.17220491,0.22083712,0.2603093,0.28285718,0.29033658,0.28845945,0.28119043,0.27048397,0.25869343,0.25103495,0.25199947,0.2628003,0.27823266,0.2911526,0.296136,0.29351196,0.2872806,0.2819952,0.28004253,0.28089377,0.28213915,0.28077635,0.2755083,0.2680538,0.26232335,0.26138076,0.2648679,0.26863495,0.2679143,0.25964975,0.24493743,0.22682746,0.2092094,0.19411922,0.1827134,0.17503794,0.17079957,0.16887689,0.16849284,0.16991977,0.17448454,0.1826666,0.19273634,0.20142142,0.20569374,0.20476516,0.19947094,0.19182616,0.1822701,0.16950661,0.15098093,0.12774718,0.10577301,0.09361776,0.09538546,0.108963035,0.128848,0.15242173,0.17938055,0.20898932,0.23574011,0.25379798,0.26080057,0.2610434,0.25975588,0.2591512,0.25746548,0.2530211,0.24723136,0.24316514,0.24349089,0.24804997,0.2553778,0.26360026,0.27241144,0.2824296,0.29438886,0.30716923,0.31854677,0.32592407,0.32856002,0.32645407,0.3210615,0.3141799,0.30828384,0.3045284,0.30222836,0.3004823,0.29940358,0.30070427,0.30361125,0.30419838,0.29583383,0.27667513,0.2533458,0.23910367,0.24272202,0.25999263,0.27638784,0.27791312,0.2611353,0.2327295,0.20494227,0.18843098,0.1887783,0.20298506,0.22230719,0.23650068,0.24063198,0.23582111,0.22720368,0.21934895,0.21324362,0.20711704,0.19836485,0.18821858,0.1814115,0.18417668,0.19785227,0.21736091,0.23394452,0.24191873,0.2414449,0.23668641,0.23120534,0.22714116,0.22534573,0.22674364,0.23011743,0.23346229,0.2351988,0.23693036,0.24102373,0.24850023,0.25805622,0.26852155,0.28013024,0.29335162,0.3070413,0.31812418,0.32425717,0.32524207,0.3238248,0.32316387,0.32595745,0.33171,0.33673796,0.33399498,0.31866232,0.29290196,0.26739863,0.25289634,0.2506429,0.24993612,0.23830044,0.213562,0.18711197,0.17471743,0.18351327,0.20732987,0.23139994,0.24457914,0.24356282,0.23332883,0.2191623,0.20696425,0.20026581,0.20242007,0.21079303,0.21960963,0.22165807,0.21616046,0.20814544,0.20556374,0.21310462,0.23026071,0.25305164,0.276432,0.2962239,0.30943182,0.3160446,0.31857932,0.32099771,0.32478067,0.32984424,0.33461276,0.33869302,0.3402015,0.33745134,0.32933345,0.31835064,0.30849746,0.30289194,0.30210397,0.3044523,0.30824348,0.31155816,0.31350067,0.3127327,0.30899692,0.30296925,0.2975596,0.2964614,0.3017386,0.3115289,0.31969604,0.31917998,0.3060628,0.28239825,0.2549686,0.23110919,0.21523489,0.20731974,0.20491536,0.20465839,0.20451747,0.20344251,0.20187056,0.20010918,0.19842143,0.1963129,0.19345707,0.1897806,0.18568255,0.1816779,0.17808025,0.17482515,0.17191629,0.1698755,0.16952878,0.170886,0.17237896,0.17297228,0.17565759,0.18910433,0.22338487,0.2781585,0.33878818,0.38175714,0.39715454,0.39483094,0.39495006,0.40435454,0.4102931,0.39903733,0.3718644,0.35173383,0.35736862,0.39304426,0.4382627,0.47155678,0.4776676,0.4607881,0.43132684,0.4030811,0.3839673,0.37836206,0.38581228,0.39996246,0.413319,0.4197034,0.42338824,0.42616817,0.42653677,0.4120712,0.38011014,0.3359659,0.29441544,0.26150334,0.23802261,0.22060281,0.20932996,0.20429005,0.20435071,0.20617609,0.20625673,0.20194207,0.19206353,0.17703623,0.16080318,0.15003425,0.15192609,0.16728473,0.18990059,0.2093963,0.21911623,0.21768945,0.20782177,0.19333206,0.17839454,0.1666934,0.15888089,0.15474975,0.15578993,0.17123348,0.20764,0.26368293,0.32136306,0.36595333,0.39138797,0.40737534,0.41736436,0.4184334,0.403451,0.3791097,0.36190233,0.36406007,0.3826977,0.40121672,0.41018406,0.40768573,0.40226874,0.39489195,0.38696286,0.37850118,0.37664172,0.38609704,0.403026,0.41611817,0.41450432,0.4034666,0.39400277,0.39566675,0.39792415,0.38837126,0.35891318,0.31939903,0.281181,0.25337085,0.23586214,0.22625548,0.22086854,0.2173052,0.21364652,0.20889275,0.2019425,0.19108653,0.1748318,0.15556616,0.1426074,0.1470825,0.17295758,0.21004568,0.24243498,0.25836074,0.25720963,0.24260621,0.21967386,0.19324197,0.1719379,0.16227448,0.1671171,0.18283944,0.2094058,0.24657929,0.2935466,0.3374734,0.36782506,0.38115856,0.39110768,0.40580916,0.42257902,0.4249325,0.4087102,0.38575324,0.37730387,0.39085376,0.41586152,0.43541098,0.43869016,0.4270709,0.40613464,0.3856655,0.3742479,0.37910947,0.3995305,0.42798015,0.45452693,0.47294095,0.4834039,0.48658094,0.48075238,0.46051452,0.42595086,0.38340327,0.3423624,0.30640408,0.27271792,0.23841347,0.20546897,0.18293184,0.17810233,0.19194949,0.21422194,0.23291157,0.24016707,0.2361847,0.22372656,0.20552258,0.18690729,0.17570598,0.18000744,0.1988164,0.22422479,0.24410538,0.2519528,0.24604553,0.23127551,0.21504153,0.20739824,0.21443258,0.23743002,0.27140227,0.31138662,0.35054073,0.38186345,0.3976555,0.3985661,0.39500847,0.39879322,0.41299936,0.42594695,0.42903545,0.4209906,0.41655004,0.42370835,0.44372603,0.46278608,0.47148153,0.46416935,0.44557527,0.42012894,0.39388883,0.37145743,0.35955954,0.363395,0.3824582,0.40951863,0.43359792,0.4498618,0.45668447,0.45468554,0.4397001,0.41180193,0.37485313,0.33755627,0.30406764,0.27620053,0.25428638,0.24094759,0.23676781,0.239286,0.24367559,0.24806131,0.2537942,0.26406804,0.27876446,0.29696444,0.31581447,0.33326462,0.34298876,0.3385305,0.3162763,0.28255552,0.25145012,0.23712939,0.2442586,0.2645891,0.2837858,0.2911713,0.28699127,0.28007922,0.28298882,0.30000377,0.32629666,0.34742454,0.35843062,0.36384472,0.3764727,0.3959353,0.41125035,0.40983745,0.39466453,0.38168857,0.38378325,0.4002527,0.41669777,0.42377588,0.41920337,0.41043636,0.39993444,0.39121994,0.3858862,0.38904014,0.40154612,0.41816458,0.43098542,0.43333218,0.43029225,0.42761347,0.43083414,0.43118194,0.4228849,0.40333617,0.38134262,0.35960278,0.3352841,0.30083677,0.2574877,0.21521644,0.18841971,0.18526144,0.20422648,0.23403795,0.26111022,0.27522287,0.27514014,0.26642385,0.25730267,0.25196597,0.24875794,0.2425905,0.23123677,0.2182651,0.21077211,0.21265142,0.22100715,0.22724484,0.22290461,0.2075519,0.19233261,0.19738562,0.23428793,0.29649815,0.35800144,0.39939168,0.41795358,0.43042699,0.4456248,0.46037403,0.46018884,0.443743,0.42200926,0.41074964,0.41243985,0.41783285,0.4191698,0.41635218,0.41548097,0.415475,0.41235387,0.40162647,0.38801193,0.38013303,0.38518742,0.4022498,0.4225491,0.4391035,0.44810736,0.4514148,0.44554856,0.42836693,0.3965948,0.3531865,0.2996161,0.24106282,0.18568861,0.14617892,0.12979046,0.13286698,0.14290111,0.15038802,0.15658624,0.16979814,0.19413544,0.22268403,0.24464417,0.25393265,0.2547742,0.25322762,0.25396457,0.25613704,0.25901124,0.2610043,0.26148272,0.25892767,0.25211453,0.24055512,0.22571473,0.21345909,0.21495225,0.24136233,0.2937359,0.3562053,0.407087,0.43504822,0.449164,0.46326283,0.4819533,0.49466297,0.4940102,0.4829165,0.47411296,0.4721476,0.4721633,0.46487555,0.4500382,0.43388674,0.42240724,0.41580173,0.4122822,0.41427532,0.4261216,0.45009115,0.47912684,0.5026714,0.51123446,0.5057118,0.49169078,0.4754473,0.45769963,0.43844306,0.42063835,0.41076788,0.4154557,0.434322,0.46208832,0.4892346,0.51224655,0.52789384,0.53525585,0.52877903,0.50945646,0.48298323,0.46124923,0.45086882,0.45115924,0.45586315,0.46009186,0.46601847,0.4760634,0.48919168,0.49544752,0.48843578,0.46932963,0.44991717,0.44135764,0.44552743,0.45539686,0.45977867,0.4577051,0.45098913,0.4446142,0.43367437,0.41860878,0.40319684,0.39968753,0.41310266,0.43963766,0.4682171,0.4891769,0.50176185,0.5072585,0.50752336,0.49793294,0.47929683,0.456835,0.44150797,0.439693,0.4508011,0.4684129,0.48282692,0.4890922,0.48599887,0.47868204,0.46972957,0.46206966,0.4561787,0.4547527,0.457927,0.462682,0.46192276,0.44933817,0.42624697,0.3999096,0.37996128,0.36840782,0.36455318,0.36499223,0.37095746,0.38216105,0.39911595,0.4173473,0.4315895,0.43668315,0.43356183,0.42751586,0.42335522,0.42383114,0.42709348,0.4318366,0.43337774,0.43164968,0.42632222,0.42112538,0.41654602,0.41284835,0.40755224,0.39815065,0.38631833,0.3781515,0.380958,0.39241803,0.4039429,0.40675962,0.4014045,0.39328313,0.3875396,0.38503858,0.38412836,0.38341835,0.3826979,0.3844283,0.39100882,0.40437686,0.42065048,0.43340185,0.4340491,0.4212936,0.39935264,0.37795708,0.36255017,0.3542687,0.34918353,0.34487322,0.34035364,0.337806,0.3400958,0.35061678,0.36950755,0.38871232,0.39526618,0.37876502,0.3465285,0.316283,0.3056657,0.31273928,0.32280347,0.3184135,0.29590273,0.2657635,0.24676453,0.25225902,0.28165504,0.31907105,0.3464831,0.35473597,0.3535029,0.35686088,0.37380853,0.39337277,0.40017715,0.3822817,0.3463322,0.30784753,0.2869757,0.29298803,0.32407442,0.3662792,0.40665504,0.43491003,0.44627783,0.4385543,0.41644987,0.3904887,0.37105915,0.36215535,0.36143717,0.36492467,0.36951664,0.3722181,0.37173453,0.36967528,0.37320003,0.387109,0.4105897,0.43183866,0.44070888,0.43298426,0.4173853,0.4036338,0.39853188,0.40010512,0.40422758,0.4068176,0.40711105,0.40731367,0.4115378,0.4233506,0.43585363,0.43682787,0.41431308,0.3801676,0.35401157,0.35338354,0.3648335,0.3675408,0.3454224,0.310119,0.2855945,0.29187405,0.3301566,0.3811437,0.4252977,0.44924083,0.45593914,0.45086205,0.44417608,0.44151223,0.44548,0.4512736,0.4541637,0.4539356,0.45566687,0.4636854,0.47433093,0.4796523,0.47201166,0.4557015,0.43785408,0.42460558,0.4107934,0.3933554,0.37361327,0.35996032,0.35660934,0.3635092,0.37782562,0.3972628,0.41724896,0.4313983,0.43510637,0.43164647,0.42763984,0.42743278,0.42675075,0.4201767,0.4059026,0.38922605,0.3761818,0.37042537,0.3724855,0.382982,0.40344393,0.43435243,0.47148308,0.50592875,0.5284407,0.5335873,0.5218694,0.4960383,0.46457672,0.43788067,0.42910242,0.43830463,0.4560307,0.46537042,0.46463194,0.46370983,0.47698155,0.5036307,0.5300036,0.5423828,0.53659457,0.52002364,0.49953464,0.48266652,0.47188058,0.46991348,0.4710454,0.46775436,0.4517164,0.42706397,0.40534464,0.39991233,0.41347566,0.4375136,0.4607687,0.4725159,0.47001708,0.45103744,0.42175332,0.38846982,0.3618132,0.34606385,0.34279624,0.3503839,0.36909723,0.39945933,0.43466982,0.46182346,0.46625432,0.44943666,0.42395225,0.40802696,0.40673634,0.41720304,0.42982435,0.43833005,0.43975773,0.4372463,0.43714562,0.44244328,0.45207366,0.4593757,0.4620833,0.4582391,0.45125437,0.43770966,0.4149886,0.38073924,0.34642395,0.32793936,0.3354243,0.36218858,0.38924205,0.40061125,0.39158607,0.37566164,0.36891118,0.3822349,0.40718225,0.43150625,0.44499075,0.45095894,0.4567041,0.46637943,0.47697,0.478294,0.46907222,0.4532676,0.443671,0.4413804,0.44385412,0.4410335,0.42840254,0.4005613,0.35697898,0.29886577,0.23333502,0.16961099,0.1179082,0.084742635,0.07118393,0.07379178,0.08734449,0.10671103,0.12528561,0.13568886,0.13254015,0.11708087,0.09777384,0.08581186,0.08833617,0.10348431,0.122319184,0.13431366,0.1339643,0.12306759,0.10997808,0.10475714,0.112472616,0.12741686,0.13611314,0.12747867,0.10413208,0.080775835,0.07416707,0.089906,0.12090361,0.15230386,0.1717909,0.17439453,0.16366132,0.14714299,0.13204978,0.12180361,0.11586837,0.11080361,0.10359568,0.09444901,0.088742904,0.09272907,0.10794244,0.12714882,0.14030518,0.14248306,0.13787606,0.13279653,0.12859249,0.12153693,0.11061767,0.10218534,0.1050362,0.122375585,0.14743896,0.16905737,0.17750281,0.17045069,0.15288256,0.1364742,0.13255997,0.14481755,0.16402061,0.17422777,0.16427268,0.13680334,0.10562753,0.08452687,0.07803232,0.08099893,0.08667785,0.09212778,0.09785854,0.10457467,0.11337721,0.12632354,0.1434352,0.15790932,0.1599744,0.14549617,0.123458065,0.10801387,0.108139746,0.120534636,0.13726327,0.15391211,0.17220151,0.19405602,0.21597457,0.23054618,0.23117886,0.21717662,0.19439888,0.17290801,0.16177042,0.16299714,0.17098255,0.17697161,0.17636411,0.17059116,0.16399382,0.15964344,0.15785658,0.15873577,0.16423565,0.17900978,0.20684421,0.24580316,0.28503314,0.30941504,0.30964968,0.29076764,0.26998433,0.26639983,0.2914038,0.34111097,0.3999199,0.44383064,0.4597199,0.44829762,0.4272178,0.41075397,0.40592667,0.40819,0.41257104,0.41562298,0.41820297,0.42207983,0.42856762,0.43708587,0.44430172,0.44647142,0.44018614,0.4278861,0.41480008,0.40834823,0.40931404,0.41410264,0.41539502,0.4104102,0.4004422,0.3912442,0.387951,0.3943946,0.40874526,0.4240125,0.42775032,0.40979466,0.36557898,0.30079597,0.22876029,0.16936773,0.13936622,0.14494999,0.17578775,0.21404345,0.2446601,0.2637683,0.27633527,0.2893366,0.30630365,0.3236238,0.33548322,0.33706102,0.3298523,0.31766927,0.30435336,0.289767,0.27223834,0.25166437,0.23279811,0.22483395,0.23608716,0.27061346,0.32244518,0.37895474,0.4223481,0.4433706,0.44300023,0.43326,0.42310143,0.415877,0.40885153,0.40109244,0.393634,0.3891401,0.38916042,0.39440548,0.40474477,0.4177014,0.42949274,0.43511137,0.434805,0.43245193,0.4348172,0.44307062,0.45318878,0.4591938,0.45944408,0.45758677,0.4571743,0.45972994,0.46370986,0.46848512,0.4684508,0.45517552,0.41873506,0.36304507,0.30167446,0.2524399,0.22190082,0.20936252,0.2125135,0.23169057,0.26725724,0.31013763,0.34746706,0.36518928,0.36430213,0.3520998,0.33839545,0.32290113,0.3046572,0.2865393,0.2751571,0.2727925,0.27418685,0.27364728,0.26888764,0.26110983,0.2508361,0.24054073,0.23899014,0.257525,0.29845306,0.3464841,0.37924874,0.3855145,0.37405667,0.36230466,0.36025763,0.3648335,0.3675194,0.3636215,0.35536572,0.3485467,0.34793642,0.35627255,0.37306044,0.39603814,0.41849706,0.43385634,0.4361659,0.42604384,0.4072436,0.3869923,0.37004447,0.35821414,0.3496906,0.34307837,0.341249,0.34930786,0.3713888,0.40074325,0.4242171,0.42572463,0.40462792,0.3715612,0.34542647,0.33428928,0.33747128,0.346386,0.35475922,0.3586863,0.35846904,0.35646823,0.35722432,0.36489597,0.38164368,0.4039414,0.42347166,0.43100384,0.4235179,0.40553248,0.38593575,0.37141308,0.36380836,0.36029097,0.35735795,0.35399008,0.35415807,0.36393252,0.38783577,0.42036548,0.44861123,0.45590183,0.4389392,0.4061563,0.3755982,0.3567271,0.3506631,0.35026726,0.3504796,0.3492173,0.34812984,0.34963727,0.35601345,0.36824378,0.38509747,0.4024197,0.41505456,0.41937724,0.41553915,0.4055675,0.39268887,0.37957287,0.36913773,0.3624612,0.359485,0.36065373,0.36894572,0.38896552,0.41950274,0.45166042,0.46980146,0.4652536,0.4405265,0.40964523,0.3848462,0.37101224,0.3651774,0.36471567,0.37177572,0.38993815,0.41711327,0.44202685,0.4527476,0.44536328,0.42838612,0.41386005,0.41225314,0.42339745,0.44173345,0.45498538,0.45875242,0.45366445,0.44888458,0.44961992,0.45610082,0.46243963,0.46222654,0.45792794,0.45641175,0.46511117,0.47727165,0.48274222,0.4733119,0.45522133,0.43853378,0.43238917,0.4363959,0.44451818,0.44933525,0.44924855,0.44965455,0.45733654,0.4728631,0.4882153,0.493178,0.4841622,0.46752462,0.4538044,0.44902623,0.4506466,0.45319113,0.45402706,0.45614064,0.462002,0.47117397,0.48067108,0.489458,0.49872446,0.50581235,0.5042087,0.48587558,0.45356795,0.41721594,0.3881204,0.3673463,0.34917387,0.32900354,0.30848587,0.29451632,0.29249468,0.3042349,0.32721898,0.35663676,0.3871257,0.4129709,0.43046966,0.43755808,0.4345468,0.42156565,0.39916763,0.3686014,0.33359838,0.29956266,0.2732759,0.26165286,0.27066803,0.3035983,0.35517272,0.41202542,0.45432332,0.47240564,0.46913716,0.45982623,0.45410064,0.4535184,0.4518706,0.44575974,0.43626276,0.4288752,0.42958555,0.4413582,0.46272615,0.4868051,0.505996,0.51302236,0.5063812,0.4880391,0.46473646,0.44334745,0.4309589,0.43186888,0.4460653,0.46706486,0.48442957,0.49099922,0.48809052,0.48420504,0.48162982,0.47283283,0.4428242,0.39129615,0.33166888,0.28674576,0.26435605,0.26111636,0.26776543,0.2838801,0.31331173,0.35366356,0.39360616,0.41746828,0.42382672,0.419935,0.41661724,0.4104235,0.39396694,0.3633345,0.3268313,0.29702532,0.28203878,0.28265357,0.29198134,0.3009086,0.3012273,0.29363954,0.28884545,0.3031403,0.34320894,0.3992219,0.44756126,0.47072694,0.46589807,0.44569644,0.42296958,0.40415382,0.38815472,0.3727437,0.35980734,0.3539863,0.35965636,0.37606636,0.3983476,0.41963947,0.4343954,0.44102955,0.44213614,0.44259724,0.4449019,0.44783857,0.4479294,0.4427087,0.43207964,0.41889182,0.4093571,0.41048798,0.42622033,0.44981515,0.46789777,0.465899,0.44458762,0.41494107,0.3933883,0.38377044,0.3834873,0.38751867,0.39833954,0.41967413,0.4494697,0.47751653,0.49069628,0.48658097,0.47309235,0.46352518,0.4609988,0.4611876,0.45756555,0.4506574,0.44394568,0.44041017,0.43970558,0.43972006,0.4369912,0.4287322,0.41657785,0.4081366,0.41407642,0.43722704,0.46956658,0.49354467,0.49849153,0.48455206,0.4639595,0.44645777,0.4363033,0.4313228,0.43130735,0.43923596,0.45666373,0.47931728,0.49615824,0.5006661,0.4931604,0.48361266,0.48028126,0.48720017,0.49959108,0.5093655,0.5110449,0.50432533,0.4942206,0.484264,0.4789667,0.47922766,0.4856694,0.49398145,0.5015294,0.5054967,0.50592816,0.502416,0.4970329,0.49232545,0.49000084,0.48914942,0.48772475,0.48568392,0.4844248,0.4865128,0.49089792,0.49436894,0.49299622,0.48726952,0.48091066,0.47663704,0.4765147,0.47935882,0.4857782,0.49125198,0.49454534,0.4925144,0.48808846,0.482366,0.47898814,0.47803473,0.47845182,0.4782604,0.47676036,0.47377694,0.46539554,0.44914377,0.4263654,0.4055563,0.39311102,0.3905115,0.39447424,0.40306425,0.4176241,0.43701425,0.4558675,0.46403852,0.4594141,0.44629455,0.4343722,0.42474556,0.41538832,0.40325966,0.39193085,0.38463488,0.3823268,0.38340214,0.3883809,0.40063658,0.4193553,0.43761888,0.4429041,0.43124858,0.40834653,0.3891265,0.38373932,0.39459768,0.4145774,0.43359065,0.44467524,0.4460328,0.43985543,0.42566165,0.4037608,0.37634,0.35253915,0.34098947,0.34694958,0.36677006,0.39151523,0.4101626,0.41646424,0.41047958,0.39784253,0.38495103,0.37707213,0.37741864,0.3874701,0.40685406,0.4301207,0.4498756,0.4580532,0.45440486,0.4418778,0.42589208,0.40833747,0.39248478,0.38199458,0.38068116,0.3879126,0.4006807,0.4156201,0.43221542,0.44975778,0.46423617,0.46813378,0.45615712,0.43207705,0.40638638,0.38897946,0.3817487,0.3805184,0.38046014,0.37985125,0.38013268,0.3835102,0.39186049,0.40551224,0.42120764,0.4321157,0.42966238,0.4118847,0.38487908,0.36188856,0.35294044,0.36242208,0.38466334,0.41076934,0.4303498,0.44115102,0.44294372,0.43742642,0.42171204,0.3978852,0.37284222,0.3578503,0.35937986,0.3759972,0.40085033,0.42497203,0.44399118,0.4541526,0.45426142,0.44091547,0.4177464,0.39356446,0.38154677,0.38818923,0.40761352,0.42727855,0.4344131,0.43234304,0.42811486,0.43107024,0.434122,0.43274662,0.42373505,0.41564497,0.4111338,0.4088502,0.40379742,0.39769927,0.39887884,0.41178402,0.43232843,0.44633484,0.4470589,0.43590915,0.42293063,0.41186294,0.40253878,0.39264634,0.38379338,0.37894347,0.37982497,0.38704172,0.4005269,0.42084932,0.44339883,0.45982385,0.45895195,0.44004813,0.4119662,0.39093652,0.38641497,0.39589846,0.4091526,0.41522646,0.41586104,0.41483417,0.41708124,0.41462803,0.40402386,0.3862357,0.3736311,0.3744358,0.3896656,0.41088864,0.4264097,0.4288899,0.41848767,0.4036043,0.39235505,0.38741234,0.38544178,0.38345698,0.38481054,0.39459708,0.41515538,0.43994448,0.46291646,0.47776893,0.48311472,0.4739428,0.45108625,0.41890064,0.38936472,0.3706782,0.36592567,0.37295654,0.3887724,0.41247728,0.43870023,0.4600968,0.46604085,0.45797393,0.44317627,0.43308058,0.42669797,0.4193598,0.40642548,0.39273477,0.38421318,0.38384366,0.38986668,0.4001619,0.41511115,0.43097273,0.44127476,0.43626848,0.41883123,0.39883783,0.39206478,0.40289557,0.42769587,0.45517504,0.47587252,0.48544574,0.48307705,0.47139004,0.45165375,0.43227482,0.42059138,0.42357984,0.43439862,0.4448154,0.447469,0.44560543,0.44508597,0.44840646,0.45288613,0.4516747,0.44611728,0.44053546,0.44318148,0.45225552,0.4643649,0.4730159,0.47817954,0.48177585,0.4893616,0.50291586,0.51752144,0.5241105,0.5172172,0.5028939,0.49160883,0.4920542,0.5017609,0.5135472,0.51868385,0.5160625,0.50713915,0.49523315,0.4810706,0.46721086,0.45728624,0.4543496,0.4588194,0.46654722,0.4728091,0.47202048,0.46497437,0.45333245,0.44079936,0.42697036,0.41539875,0.41266862,0.4264444,0.45681274,0.49240068,0.51887393,0.5258991,0.5187215,0.50647265,0.49788496,0.4885122,0.47433993,0.45444074,0.43815172,0.4338248,0.4426962,0.45725074,0.46603617,0.46690938,0.46395743,0.46762705,0.4792222,0.49676406,0.5129213,0.5251191,0.53216934,0.534807,0.53233963,0.5214419,0.50134265,0.47452208,0.45074427,0.4385099,0.4431574,0.46059906,0.4825697,0.49987498,0.5082137,0.50741,0.49899408,0.48592618,0.4712529,0.45994225,0.45446396,0.4568425,0.46376947,0.4709524,0.47191143,0.4667441,0.46007398,0.46018764,0.4714158,0.49049774,0.5095513,0.518761,0.51723903,0.50796574,0.49841753,0.48951182,0.48139992,0.4735094,0.46926737,0.47270405,0.48273227,0.49367538,0.49583808,0.4883158,0.4756103,0.4674238,0.46562245,0.46878827,0.47319165,0.4790202,0.48714963,0.4959414,0.5012532,0.4984095,0.48955348,0.48086974,0.48059538,0.49024355,0.50791574,0.526458,0.5391558,0.5378842,0.5228793,0.50157684,0.4881153,0.49083057,0.5072148,0.52581257,0.5335979,0.526697,0.506967,0.47972974,0.44517258,0.40552732,0.36676875,0.3390521,0.32562292,0.31942642,0.30833265,0.28707635,0.26228023,0.24542098,0.2434903,0.25403032,0.27325988,0.2997421,0.33379146,0.36720094,0.38480926,0.37581456,0.34566113,0.31331703,0.2929232,0.28495935,0.28001156,0.2746998,0.27319542,0.280278,0.29295018,0.3064179,0.32051876,0.33999488,0.36297724,0.37869823,0.37495688,0.35092175,0.3181225,0.28947803,0.27091944,0.26003072,0.25360483,0.24948715,0.24726592,0.2465108,0.24878651,0.2551003,0.2647873,0.27247882,0.2733756,0.2642174,0.24809575,0.23210646,0.22626758,0.23522997,0.25432792,0.2730842,0.28431237,0.2904965,0.29809213,0.31184992,0.3300814,0.3484687,0.3618962,0.36707255,0.3632717,0.35236546,0.3373858,0.31915513,0.29705894,0.2721257,0.25088668,0.24199969,0.24961586,0.2690197,0.29090917,0.30748126,0.31634867,0.31805375,0.3148669,0.30891883,0.3021128,0.29471186,0.28546372,0.27379653,0.26031274,0.24793996,0.24028723,0.24237008,0.25837493,0.28927848,0.33098242,0.37510476,0.4136726,0.44096544,0.45541537,0.45743927,0.44941542,0.43384647,0.4123958,0.38648424,0.35820234,0.33253738,0.31354806,0.30296192,0.29784963,0.29504165,0.29192412,0.28682828,0.27776912,0.2648386,0.25398177,0.2545978,0.27264175,0.3028864,0.33249652,0.351414,0.36146402,0.37416852,0.39894995,0.43352893,0.46483493,0.48058012,0.47988638,0.47238752,0.46902356,0.4731934,0.4821169,0.49280074,0.505966,0.52336043,0.54209393,0.5546574,0.5537892,0.54020286,0.52168345,0.5075999,0.50203615,0.5032229,0.50817674,0.51517206,0.5258095,0.5387339,0.55032676,0.5529876,0.54498637,0.5298345,0.5165829,0.5100387,0.50949806,0.5108778,0.51178724,0.51475984,0.5191607,0.5216155,0.51275617,0.49234983,0.46586183,0.44588602,0.43731967,0.43977013,0.44832698,0.4598712,0.47364417,0.4857603,0.49122784,0.48253942,0.46199763,0.43767628,0.4234703,0.42595625,0.44255683,0.46283635,0.47463182,0.47493175,0.46557295,0.45493713,0.44539723,0.44308543,0.44860843,0.46270075,0.4744488,0.47729507,0.4689151,0.45860112,0.4518312,0.44991037,0.44956365,0.45191315,0.46239758,0.4827198,0.5066616,0.519959,0.5156824,0.4961733,0.47298276,0.45261776,0.43612123,0.42207992,0.41361606,0.41888693,0.4397955,0.46926618,0.48913392,0.48912823,0.4694487,0.44422567,0.4257127,0.4202607,0.42634866,0.43959722,0.45797864,0.47570053,0.4864336,0.48002103,0.46074453,0.43806913,0.4275553,0.42822644,0.43525624,0.4371214,0.43173876,0.4199591,0.41010693,0.40963504,0.42065087,0.43851534,0.45166263,0.4498284,0.4238263,0.37847677,0.32880285,0.29803038,0.29811093,0.3249629,0.36089492,0.38842928,0.4040282,0.41396058,0.42780074,0.44220424,0.45135203,0.45009455,0.44440213,0.43884334,0.4361935,0.43558726,0.43921494,0.4509504,0.46926758,0.48675847,0.49116704,0.48017868,0.4596385,0.4430832,0.43612835,0.43785393,0.44268778,0.44981423,0.4629974,0.48276234,0.5032513,0.5118533,0.5046049,0.48621157,0.47002837,0.462432,0.4635942,0.4682728,0.47396508,0.4807031,0.48708758,0.48813403,0.47624823,0.45178092,0.4242665,0.40804124,0.40824482,0.4186045,0.42892456,0.43525302,0.4423724,0.4550624,0.47225213,0.4855143,0.48735955,0.47664645,0.46002612,0.44717196,0.4460012,0.45604017,0.4697952,0.47517702,0.47013226,0.458836,0.45137504,0.44864336,0.44957998,0.4493258,0.4464272,0.4391863,0.42965844,0.4224117,0.42199025,0.4281679,0.43674195,0.44433776,0.4527011,0.46566713,0.48323393,0.4984075,0.50327176,0.4961506,0.48281416,0.47006378,0.46068975,0.45431292,0.45134413,0.45400584,0.46343982,0.47540247,0.48129463,0.47349587,0.45295107,0.42802322,0.40879664,0.3999007,0.40103605,0.4104251,0.42661563,0.4481622,0.46992588,0.4861394,0.492191,0.490108,0.48360536,0.47442484,0.46058893,0.441574,0.4227737,0.41142833,0.41259596,0.42308584,0.43573833,0.4416665,0.43880144,0.43108,0.42663693,0.42982447,0.43862626,0.44788238,0.45363092,0.45774364,0.46231902,0.46917486,0.4762249,0.48467532,0.49439606,0.5051996,0.5110622,0.5101859,0.5040965,0.49964038,0.49896,0.50070995,0.50223017,0.5036364,0.5074814,0.5112429,0.5101623,0.49788257,0.47858533,0.45973256,0.44907022,0.44418323,0.4398708,0.43376577,0.43056718,0.43740273,0.45370078,0.4710636,0.47575673,0.46408248,0.4414966,0.4217155,0.4126692,0.41652885,0.42961764,0.44818303,0.46964356,0.48773623,0.49463654,0.48128352,0.45272896,0.42341483,0.41295826,0.42651853,0.45546803,0.48300782,0.49732265,0.49659777,0.48543748,0.46989846,0.45293984,0.43644264,0.42297563,0.41685638,0.42160225,0.43632114,0.45431754,0.46623862,0.46699643,0.45588493,0.43631968,0.4107037,0.38940778,0.38251746,0.39818168,0.42539707,0.449723,0.4584727,0.45551154,0.4483556,0.4446225,0.446743,0.45556846,0.47180104,0.49031648,0.5032448,0.50031763,0.48412776,0.46391568,0.45350417,0.45405087,0.46055532,0.46492162,0.46675494,0.46981475,0.47549585,0.47995386,0.47518158,0.461249,0.4440546,0.43463433,0.43631625,0.44763806,0.46070984,0.46917966,0.46904755,0.46290874,0.45628116,0.45343015,0.4560752,0.46209142,0.47015178,0.4758118,0.47882092,0.4765856,0.4703568,0.45765617,0.44224036,0.4288505,0.42589796,0.43710586,0.4592286,0.48238614,0.49256337,0.48521933,0.46496895,0.4468377,0.44004583,0.4456574,0.45468196,0.45822498,0.4553115,0.45212647,0.4558026,0.46311292,0.46651354,0.45947447,0.44586256,0.43265426,0.42655945,0.42957044,0.4415052,0.46083978,0.48214412,0.49780712,0.49966896,0.48944524,0.4750608,0.4667821,0.46452603,0.46342254,0.45844188,0.45286882,0.45287314,0.46209362,0.47594652,0.48437104,0.47956803,0.46270823,0.44303998,0.43037072,0.42873535,0.43676051,0.4504492,0.466127,0.47949624,0.4863797,0.48332024,0.47123912,0.45538554,0.44443092,0.44381675,0.45516607,0.4706492,0.48137164,0.4770056,0.46117106,0.44191703,0.4316602,0.43006325,0.43268073,0.43412042,0.43723404,0.44776165,0.4642764,0.47862193,0.47887266,0.4673107,0.451727,0.44418097,0.44337204,0.4478686,0.45243332,0.4570131,0.45712292,0.45303813,0.44690952,0.44461027,0.4467019,0.45079646,0.45467114,0.4604375,0.4715667,0.48645392,0.4987371,0.5004731,0.49122787,0.4759026,0.46216616,0.45356837,0.45083296,0.4534924,0.46109462,0.4734482,0.48635197,0.4935789,0.48714182,0.46767607,0.44274977,0.42549106,0.42224196,0.43254855,0.45026323,0.47033462,0.49016377,0.5066753,0.5175454,0.5199692,0.5176787,0.51470065,0.5155659,0.518941,0.5217753,0.52014613,0.5109746,0.49549803,0.47793257,0.46563134,0.46209082,0.46759748,0.4770734,0.4841926,0.4818966,0.4699532,0.45361587,0.44263378,0.44203708,0.4493747,0.4569128,0.45553556,0.44455484,0.42490086,0.40126124,0.37150475,0.3392603,0.30960527,0.2923585,0.28912318,0.29624996,0.3063927,0.31563032,0.32232764,0.32626775,0.32726088,0.32616076,0.32451037,0.32388878,0.32467368,0.32655254,0.3291569,0.33246574,0.3361925,0.33943567,0.34122035,0.3411394,0.339619,0.33741936,0.33549273,0.33477214,0.33599746,0.33910248,0.34326482,0.34755215,0.3515315,0.35472688,0.35572,0.3524494,0.34411618,0.33219114,0.31952998,0.30767033,0.29618394,0.2830267,0.26694366,0.24796449,0.22880054,0.21310563,0.20444207,0.20300294,0.20655824,0.21153401,0.21575272,0.21774356,0.2161721,0.20997328,0.19955279,0.18718974,0.17497705,0.1640607,0.15521969,0.15086281,0.1538996,0.16490002,0.180321,0.19451398,0.20340234,0.20631386,0.20503615,0.20178075,0.19784224,0.19364804,0.18917447,0.18464859,0.18029249,0.17590483,0.1703121,0.16202857,0.15065937,0.13766155,0.12569979,0.1171498,0.1138091,0.117554545,0.12990117,0.15015708,0.17367768,0.19368684,0.20477857,0.20596953,0.20024522,0.19214343,0.18500556,0.17975958,0.17532723,0.17008041,0.16353376,0.15749754,0.15566792,0.16127479,0.1741182,0.18999295,0.2033828,0.21137826,0.21514755,0.21833223,0.22392498,0.23217909,0.24064654,0.24622916,0.24787416,0.24737374,0.24750227,0.24894257,0.24979801,0.24766298,0.24225368,0.23496927,0.227831,0.22257191,0.22174096,0.22674768,0.23588604,0.24260266,0.2406438,0.22880878,0.2135155,0.20293337,0.20107996,0.20505357,0.20899157,0.209718,0.20892687,0.21116512,0.21845974,0.22851087,0.23580527,0.23601484,0.2276826,0.21294206,0.19674836,0.18596734,0.18637107,0.1982642,0.21607113,0.2302842,0.2344506,0.22626837,0.21044225,0.19389032,0.18530975,0.18810408,0.20023799,0.2129908,0.21801989,0.21169846,0.19862722,0.18823977,0.18865548,0.2014692,0.22127296,0.24095911,0.25579348,0.2653253,0.27026606,0.2717553,0.2698561,0.2654122,0.25882068,0.25156495,0.24475646,0.2405706,0.24015033,0.24391313,0.24918151,0.2512329,0.24432166,0.22654526,0.2022952,0.18206437,0.17520474,0.18415351,0.20214427,0.21999733,0.23127514,0.23475017,0.23048471,0.2183835,0.19950485,0.17828125,0.16224426,0.15673627,0.16282672,0.17617397,0.19224429,0.20709383,0.2189356,0.22517045,0.22329563,0.2112876,0.19105446,0.1690041,0.15448277,0.15415514,0.16789597,0.18944426,0.21112268,0.22853114,0.24079417,0.24899124,0.25393075,0.25600064,0.2553055,0.25236043,0.24822181,0.24415143,0.24101007,0.23877488,0.23668937,0.23364966,0.22868045,0.22132635,0.21173517,0.20085897,0.1901906,0.18131886,0.1750775,0.17106996,0.16800134,0.16439514,0.15997769,0.15647562,0.15727131,0.1646411,0.17706077,0.1891988,0.19611777,0.19791429,0.20148091,0.21640044,0.24811298,0.2928238,0.33887997,0.37447,0.39399466,0.39989153,0.3975489,0.39153695,0.383512,0.3739121,0.3633348,0.35332108,0.34610343,0.34295914,0.34353733,0.34555337,0.3472995,0.34852794,0.35071552,0.35411778,0.35734248,0.3577951,0.35471526,0.34902942,0.34269682,0.33645746,0.3307023,0.32588348,0.32343626,0.3241491,0.3275577,0.3318896,0.33541283,0.33739206,0.33778563,0.33722404,0.33599222,0.3346692,0.33318055,0.3317691,0.33005676,0.32832476,0.32694295,0.3275698,0.33153957,0.33962765,0.3503139,0.3611696,0.36933008,0.37354943,0.3737111,0.37060413,0.36450282,0.3550924,0.341868,0.32505453,0.30664554,0.2905457,0.28127143,0.28104183,0.28794035,0.29698038,0.30366632,0.306375,0.30628467,0.30511537,0.30382097,0.3025228,0.3012704,0.30052093,0.3004755,0.3010881,0.301706,0.30201498,0.30157158,0.29994282,0.2963145,0.29055464,0.28360105,0.277375,0.27344143,0.27233386,0.27346763,0.27563453,0.27743718,0.2775714,0.27571496,0.27241167,0.26909792,0.26655266,0.26520303,0.2645855,0.26478252,0.265489,0.26699188,0.26904723,0.27208745,0.2759769,0.28088138,0.28628317,0.29197177,0.29718396,0.3016561,0.30503967,0.3073707,0.3075383,0.303943,0.2959267,0.28577712,0.27797398,0.27504945,0.27531862,0.27406073,0.2692769,0.26332024,0.2605298,0.26246098,0.26891148,0.28067443,0.30023387,0.32683387,0.3539997,0.37261927,0.3772808,0.3694583,0.3551552,0.34156147,0.33358693,0.33325064,0.33913633,0.34831223,0.3574094,0.36427876,0.36774147,0.3679863,0.36581627,0.36220884,0.35733068,0.35091606,0.3432881,0.3360826,0.33115005,0.32890278,0.32758108,0.32497862,0.3200279,0.3140378,0.3091099,0.30712518,0.30755612,0.308372,0.3069869,0.30323145,0.29948115,0.29896966,0.30303442,0.30966172,0.31585073,0.31919587,0.3202405,0.32023704,0.3209252,0.3223538,0.32432595,0.32552972,0.32480505,0.3205966,0.31286633,0.30338302,0.29592302,0.29357454,0.29653025,0.3015556,0.30413613,0.30137512,0.29319453,0.2828901,0.2757497,0.27727225,0.28905657,0.3076006,0.32595426,0.33885548,0.34513828,0.34665683,0.3451445,0.34092963,0.33390674,0.32487682,0.315286,0.30626404,0.2978762,0.28994605,0.2825864,0.2766739,0.27307907,0.27245715,0.27457228,0.27844277,0.28229317,0.28449693,0.28428248,0.28227678,0.27972654,0.27753863,0.27532232,0.27207157,0.26676366,0.25950894,0.25089803,0.24210711,0.23384477,0.22676426,0.2207697,0.21563326,0.21089028,0.20651025,0.20277046,0.20004822,0.19858553,0.19825758,0.19901627,0.20056385,0.2026047,0.20425604,0.20472378,0.20346344,0.20086432,0.19778764,0.19495767,0.19239867,0.18947864,0.18552135,0.1820396,0.18362373,0.19842614,0.2282465,0.2647824,0.28679755,0.28011248,0.24471039,0.19931853,0.16096477,0.1382087,0.12731613,0.12283781,0.12063409,0.1196444,0.1195107,0.12018398,0.12121344,0.122003555,0.121902935,0.12074395,0.118806474,0.11660086,0.114756525,0.11379256,0.114192665,0.11604535,0.11932921,0.12383918,0.12911786,0.13402534,0.13689369,0.13693805,0.13484198,0.13272296,0.1317581,0.13197024,0.1322761,0.13249123,0.13298385,0.13430859,0.1362529,0.13822198,0.13973694,0.14065857,0.1411329,0.1412388,0.14093088,0.1399044,0.13785093,0.13460593,0.13017787,0.124487996,0.117247365,0.10799056,0.09631107,0.08200393,0.06565762,0.048999578,0.037589196,0.041500896,0.07540854,0.14603943,0.2450027,0.34466448,0.41955674,0.4583354,0.4716917,0.4745629,0.47964868,0.4892536,0.50363785,0.5173126,0.5276459,0.529916,0.52574205,0.51475495,0.5006675,0.48672473,0.47908244,0.48196068,0.49274024,0.50643533,0.51421875,0.51601225,0.5096048,0.4994328,0.48467216,0.46966115,0.45533016,0.44346547,0.4349705,0.43005764,0.43044794,0.43359566,0.438575,0.44340774,0.4476224,0.44951865,0.44686446,0.44278887,0.44134578,0.4454554,0.45006987,0.4507171,0.44872496,0.45223108,0.46507344,0.48389664,0.49839446,0.50529784,0.5040844,0.5003655,0.49417377,0.48571634,0.47432542,0.46090364,0.45092258,0.44469437,0.44586694,0.4474857,0.4506453,0.4476091,0.4401423,0.42253253,0.40083483,0.37953117,0.36961982,0.37609205,0.39758408,0.42687818,0.45011535,0.46313915,0.46311447,0.46184662,0.46086058,0.46611142,0.46858144,0.4671644,0.4547236,0.43653986,0.4169992,0.40674648,0.40954593,0.42198518,0.4328494,0.43064377,0.4150597,0.39454356,0.38187477,0.3813043,0.3889118,0.39528576,0.39207223,0.37676132,0.35237578,0.32884225,0.31653175,0.32494268,0.351364,0.3841792,0.403366,0.40041327,0.37908486,0.3569816,0.3476825,0.3544681,0.3663117,0.36604536,0.343455,0.30241764,0.26068464,0.2363687,0.23913217,0.26310244,0.29228988,0.3074298,0.29990312,0.27596724,0.2545866,0.25528324,0.2843786,0.33185697,0.3734901,0.3925096,0.386845,0.37422168,0.37315115,0.3923858,0.42603377,0.45872292,0.4799788,0.48454368,0.4808946,0.47398922,0.4719024,0.47121868,0.4746003,0.47864044,0.48730266,0.49804774,0.51113796,0.5223412,0.52670544,0.52157265,0.50525355,0.48684752,0.46983567,0.46172163,0.45609525,0.45444205,0.45156446,0.4519591,0.45205438,0.45383763,0.45455253,0.4549644,0.45282963,0.44861844,0.4458357,0.44762287,0.453194,0.45659223,0.4566197,0.4591755,0.47119117,0.49129358,0.50729555,0.51002955,0.4967939,0.47802868,0.4618914,0.4581349,0.4643773,0.47891107,0.49169293,0.50131047,0.5049225,0.50751203,0.50846,0.5069558,0.497018,0.47543725,0.4439516,0.40978897,0.38194522,0.36492893,0.35937384,0.36320493,0.375422,0.3955153,0.4194962,0.43983153,0.44742683,0.44286227,0.43278912,0.42791507,0.4291934,0.43620166,0.44360456,0.4508102,0.4529717,0.45117757,0.4463177,0.44311866,0.44152662,0.44084015,0.44079614,0.4426339,0.449293,0.45864025,0.46772948,0.46888712,0.4630328,0.4528514,0.4464761,0.44432318,0.44517267,0.44582072,0.4467988,0.45170173,0.46029243,0.46986052,0.47280058,0.47091272,0.46983537,0.47756502,0.49141347,0.50374454,0.50798774,0.5050501,0.5025365,0.5078706,0.5237769,0.5443987,0.5616769,0.5693173,0.56761193,0.5580111,0.5434591,0.5226457,0.49485,0.458907,0.42160144,0.39369774,0.38590026,0.40008757,0.42730367,0.45584556,0.47560775,0.48921633,0.50201815,0.52135086,0.54218405,0.55558544,0.5529458,0.53471667,0.5105902,0.48772776,0.473291,0.46366295,0.4613671,0.46139607,0.46718785,0.4733285,0.4820325,0.4888701,0.49521187,0.49864325,0.49892092,0.4930966,0.4787422,0.4579536,0.4380177,0.4252281,0.41855487,0.4107872,0.4014175,0.3977596,0.40664616,0.42260697,0.43187854,0.42912197,0.42231452,0.42338273,0.43513742,0.4472897,0.45373932,0.45144394,0.45012903,0.4506172,0.4553163,0.4572697,0.45735905,0.45650825,0.4573181,0.4582806,0.45320848,0.44295084,0.4287491,0.41812548,0.4079913,0.39776418,0.38553223,0.37914,0.38581622,0.40710488,0.43700448,0.4629523,0.48007822,0.48423943,0.48152575,0.47171196,0.46256268,0.45373532,0.44964126,0.44385603,0.43516204,0.42126977,0.40962887,0.40723383,0.41599762,0.4273924,0.42626056,0.406648,0.3739972,0.34523073,0.33210644,0.33951077,0.3610395,0.38643965,0.40442863,0.41155538,0.4133587,0.42057788,0.43966058,0.46482158,0.48222998,0.47761813,0.451807,0.41759798,0.3945136,0.39148057,0.40526354,0.4222865,0.4295131,0.4224436,0.4035666,0.3803375,0.3568609,0.34071335,0.33638334,0.34634197,0.36184892,0.3728706,0.37154904,0.35830918,0.33971414,0.3264399,0.3278403,0.3430986,0.3629503,0.37640953,0.38225898,0.38676962,0.3987429,0.42104784,0.4499099,0.4770355,0.4943892,0.49936983,0.49275842,0.4815943,0.46971175,0.46420765,0.46256924,0.46702084,0.47164914,0.4791694,0.48451182,0.48895058,0.48923096,0.48857448,0.4898741,0.49353066,0.49783894,0.49479225,0.4848574,0.466477,0.4478232,0.43030307,0.42141303,0.4225901,0.43402478,0.44786265,0.45583358,0.4572798,0.4572777,0.46177617,0.46834287,0.47290742,0.47480318,0.4795053,0.49063468,0.5060965,0.5184149,0.5213811,0.5135403,0.4978652,0.4815576,0.46727374,0.4578589,0.44867638,0.44325197,0.4403398,0.44477466,0.45003113,0.45441845,0.4502311,0.43836293,0.41822767,0.39751098,0.3822378,0.37790295,0.3825253,0.39101696,0.3988793,0.40559936,0.41367555,0.42189956,0.42604423,0.42142788,0.41151917,0.404554,0.4078313,0.42282915,0.44359657,0.4628097,0.47080544,0.46702853,0.45472327,0.44362155,0.43656778,0.43392965,0.4327568,0.4336883,0.43997118,0.4519099,0.46533486,0.4690951,0.46019527,0.44152692,0.42490724,0.4140489,0.4102038,0.40966406,0.41243422,0.4180207,0.42473468,0.42986116,0.43038347,0.430692,0.43639076,0.4531972,0.47621533,0.50011593,0.5195429,0.53608364,0.54930806,0.5601739,0.56745774,0.571412,0.57217056,0.5695939,0.5638197,0.5502605,0.52660614,0.49015447,0.44510293,0.394694,0.34661058,0.30842662,0.28775677,0.28298405,0.28353912,0.27597234,0.25563625,0.23076957,0.21500851,0.21668677,0.23225932,0.2535913,0.27407265,0.29180822,0.30240086,0.2986772,0.27701265,0.24472274,0.21698582,0.20311588,0.20113534,0.20190124,0.2012639,0.20082287,0.20378022,0.21001613,0.2193277,0.2327979,0.25043556,0.2660913,0.27041757,0.2591535,0.23850898,0.22067912,0.21264564,0.21234043,0.2117176,0.20609708,0.19561346,0.18505417,0.17875607,0.18076563,0.19060294,0.2054743,0.21866597,0.22595315,0.2237463,0.21332867,0.19832505,0.18692034,0.18469608,0.19161974,0.20127968,0.20822419,0.21247931,0.21832399,0.22993056,0.24731554,0.26663283,0.2812519,0.28600731,0.27984142,0.26661825,0.2514679,0.23688172,0.22212635,0.20661448,0.1930622,0.18637894,0.18892707,0.1985005,0.21014066,0.22052793,0.22900726,0.23628968,0.24285458,0.24798353,0.25030935,0.24827616,0.24150383,0.23136763,0.21928187,0.20672704,0.19443715,0.18592072,0.18567993,0.19844405,0.22332317,0.2541947,0.28137574,0.29843497,0.30456504,0.30408904,0.30134538,0.29759786,0.28993264,0.275998,0.2570314,0.23978627,0.22956048,0.22679901,0.22571485,0.22185318,0.21448843,0.20597988,0.19690396,0.18744354,0.18120499,0.18599093,0.2069376,0.23883331,0.26841927,0.2856773,0.2938597,0.30818054,0.34227058,0.39906597,0.46678194,0.530823,0.57817024,0.6050775,0.611958,0.60553044,0.5938676,0.5860695,0.58756006,0.59923285,0.61597425,0.6292358,0.6315004,0.62172246,0.60473126,0.58738995,0.57352,0.5644819,0.5603561,0.56209713,0.5694242,0.5796492,0.5873565,0.58829004,0.5827527,0.57532203,0.5712149,0.5726817,0.57748,0.58190876,0.5825837,0.581817,0.5808131,0.5795667,0.5708049,0.5529134,0.52911943,0.5103232,0.50191593,0.5042534,0.5129342,0.5250552,0.5389779,0.5495332,0.548789,0.52831525,0.49061134,0.44756302,0.41673258,0.40890276,0.42262688,0.44653854,0.46536985,0.47364902,0.47186044,0.46742415,0.4616886,0.46047106,0.4660047,0.48141232,0.49706188,0.5052528,0.50098646,0.49023262,0.4763484,0.46042094,0.44233084,0.42778552,0.42753246,0.44657204,0.4799869,0.51074797,0.5265342,0.5233477,0.50890774,0.48851308,0.46429935,0.43732747,0.4154559,0.41192532,0.43236017,0.46817517,0.4961667,0.49887654,0.47404972,0.4387753,0.41425046,0.413335,0.43498585,0.46649897,0.49615255,0.51297575,0.5141328,0.4972719,0.47231832,0.4493381,0.43995488,0.4399314,0.4415402,0.43444118,0.41996872,0.40672016,0.40787533,0.42890033,0.46167675,0.49022523,0.49963117,0.4844842,0.44597876,0.3955294,0.35157713,0.334324,0.35140908,0.39074317,0.4302869,0.45103553,0.45510066,0.45412672,0.46135357,0.4720838,0.4780271,0.47262692,0.46155998,0.44999695,0.4404064,0.43221328,0.4281778,0.4338801,0.44986573,0.46956977,0.479838,0.47533467,0.45935705,0.44390523,0.43506905,0.4325256,0.43136492,0.43067166,0.43545914,0.44907677,0.47069487,0.49068856,0.50331014,0.5054435,0.5029793,0.50036,0.5022604,0.5071153,0.51199836,0.5145371,0.515161,0.51379037,0.50552034,0.48784438,0.46437132,0.4462662,0.43916976,0.44084358,0.44493493,0.4507439,0.4632931,0.48368344,0.5045933,0.51232725,0.5019262,0.47907588,0.45821822,0.44806382,0.45176613,0.46237925,0.47160578,0.46858954,0.45400277,0.43454707,0.42402658,0.42781556,0.44548574,0.46823296,0.48597178,0.49169382,0.48623577,0.47866058,0.47702324,0.4830365,0.49135554,0.4977276,0.5042341,0.5151863,0.53186756,0.548076,0.5593502,0.56382895,0.56416047,0.55911034,0.5491009,0.5377226,0.5341634,0.5442517,0.56474495,0.5836826,0.58804125,0.57384485,0.5481917,0.524545,0.5123555,0.5136001,0.5240318,0.53886706,0.55380774,0.56625074,0.5737378,0.5765695,0.57729334,0.5787745,0.5793647,0.5718558,0.5521154,0.523601,0.4989442,0.4871825,0.49172807,0.5065781,0.5244004,0.5360012,0.53728724,0.52887475,0.51782614,0.511178,0.5118969,0.51769346,0.5245753,0.5317599,0.5405461,0.5521569,0.5649781,0.5767567,0.58452934,0.5848152,0.5746921,0.5565729,0.5381999,0.5278222,0.52691936,0.5306359,0.53297424,0.5322519,0.5312701,0.53106886,0.5297784,0.5232947,0.5143036,0.5081108,0.509135,0.51332873,0.51514673,0.51383686,0.5154523,0.5275148,0.5479583,0.56643325,0.5670509,0.5455279,0.508921,0.47454202,0.45290074,0.44506606,0.44403577,0.44543353,0.45167294,0.46371642,0.4761735,0.47581455,0.46073082,0.4432678,0.44498944,0.47485447,0.5210356,0.56158465,0.5774037,0.57037926,0.55124164,0.5364521,0.5279172,0.52323794,0.51636475,0.50981206,0.50818056,0.5123314,0.5155771,0.5068341,0.4840802,0.45116055,0.41866526,0.39020967,0.37520897,0.3785874,0.40488863,0.43903244,0.46599272,0.474732,0.47347382,0.47135213,0.4744922,0.48088244,0.4895351,0.5016889,0.5161187,0.5279196,0.52966696,0.52311254,0.51465416,0.5118845,0.5118618,0.5097344,0.50420433,0.50267464,0.5124569,0.5307333,0.5458073,0.5432958,0.5226286,0.49398804,0.47474244,0.472594,0.48444024,0.49812543,0.5026719,0.49654993,0.4845958,0.4751111,0.469293,0.46893215,0.4711679,0.4760836,0.47752765,0.47530016,0.46838918,0.46173897,0.45613864,0.45549607,0.46010843,0.4692062,0.47799838,0.4821358,0.47838905,0.4625535,0.4354353,0.40391505,0.3835684,0.3843178,0.40390396,0.4267325,0.43860137,0.44161996,0.45050046,0.47794756,0.5153777,0.5442973,0.5501647,0.5379799,0.5201916,0.50832117,0.5055499,0.5122649,0.5282107,0.5488712,0.5652799,0.56614256,0.552955,0.53627104,0.530106,0.5331371,0.5357395,0.52810055,0.5140257,0.5052788,0.5104401,0.5260828,0.537265,0.53217274,0.5085524,0.4774871,0.44995728,0.43314502,0.425545,0.42478478,0.42894235,0.43896496,0.45447898,0.47318044,0.49128154,0.50527024,0.5132904,0.5147795,0.5135551,0.5117238,0.5104695,0.5044008,0.4954433,0.4880142,0.49067387,0.50000226,0.50838685,0.5093091,0.50644475,0.5069812,0.5089056,0.5031629,0.47968057,0.4464617,0.4181007,0.40945232,0.41885796,0.44007954,0.46516457,0.48932925,0.50756484,0.51642615,0.5182511,0.51764566,0.51885444,0.52167934,0.5256141,0.5312269,0.53951234,0.54833037,0.5532818,0.5533128,0.5534144,0.5597579,0.5719956,0.5833075,0.5875266,0.5850174,0.58069164,0.5780985,0.57585144,0.5699666,0.558582,0.5444985,0.5340921,0.53260595,0.54291207,0.559827,0.5750031,0.57748,0.568612,0.55580276,0.55078095,0.5538315,0.5608128,0.56685835,0.573704,0.58546335,0.6007597,0.614064,0.61671233,0.6098278,0.5984046,0.590952,0.5880262,0.5880473,0.58606935,0.57917047,0.56608325,0.55161786,0.5435724,0.5466873,0.55853647,0.5687115,0.56875134,0.5538847,0.5356366,0.52706,0.5399099,0.5645707,0.58940166,0.6052608,0.6192086,0.6373921,0.66171026,0.6869774,0.70976025,0.72962874,0.74461603,0.75139064,0.7461384,0.73381567,0.7217593,0.7170549,0.7171059,0.7172639,0.71415305,0.71100634,0.7123967,0.7194467,0.72734195,0.72871655,0.72108763,0.708805,0.6993132,0.6946754,0.6895755,0.6774824,0.65777946,0.63871884,0.6267181,0.6216242,0.6132825,0.5964732,0.5729026,0.5533468,0.5432921,0.54232424,0.54389286,0.5441852,0.54366994,0.54345316,0.5423121,0.5343892,0.51866025,0.49895594,0.4862419,0.48680878,0.50075436,0.51693016,0.52248365,0.5081969,0.47665128,0.43745494,0.40277007,0.38416874,0.38793358,0.41292205,0.4440886,0.46733952,0.4752082,0.47536418,0.47491142,0.4771103,0.4791892,0.48084235,0.48571134,0.49536422,0.5074298,0.51306534,0.5082944,0.4924319,0.47109666,0.4471064,0.42334393,0.4030166,0.39239815,0.39900503,0.42301545,0.45671344,0.48365736,0.49539545,0.49283132,0.4886228,0.49056196,0.49941114,0.5075023,0.5089956,0.50399977,0.49530295,0.48430264,0.46698257,0.44562483,0.42559227,0.4174527,0.42000803,0.43149272,0.44360355,0.45600632,0.46463355,0.47321072,0.48298788,0.4962872,0.50831383,0.511674,0.5005661,0.4723266,0.4341477,0.3977268,0.37961945,0.385916,0.4123135,0.44214296,0.46179417,0.46847507,0.47218978,0.48229098,0.49548468,0.50020736,0.48843405,0.4660199,0.44414958,0.4315207,0.42937157,0.4365082,0.45242572,0.47440395,0.49618864,0.50770044,0.5050616,0.4918648,0.47797418,0.46897686,0.46457073,0.46191716,0.46181622,0.4692959,0.4864421,0.5077212,0.5207775,0.5159325,0.49309853,0.46168303,0.43460855,0.42105386,0.42240438,0.43293604,0.44418743,0.45258927,0.4570237,0.45803523,0.4528743,0.4445534,0.43913284,0.44410923,0.4577761,0.47331247,0.48433283,0.49117962,0.49921873,0.5102692,0.5204489,0.5194035,0.5037358,0.4790984,0.4607619,0.45960212,0.47364965,0.48968267,0.49130094,0.47546077,0.4467971,0.41774157,0.39489377,0.38826302,0.40158018,0.43281063,0.46646634,0.49012092,0.5007165,0.5065799,0.5128757,0.51901895,0.52278036,0.52711457,0.5380457,0.55408484,0.5672903,0.5676958,0.5574064,0.5436409,0.5332543,0.5234038,0.5103109,0.49478102,0.48379835,0.4843175,0.49522433,0.50877315,0.51323694,0.5061147,0.49212298,0.4824797,0.4811605,0.48763514,0.4976925,0.5106695,0.52712995,0.54403114,0.5559861,0.5567484,0.5503307,0.5422039,0.5386545,0.53506446,0.5286305,0.51799685,0.50870425,0.5039893,0.5036443,0.504168,0.5007022,0.49171868,0.47787967,0.46405706,0.4552777,0.45542917,0.46471962,0.47837743,0.49099055,0.49772596,0.4996707,0.49884343,0.5005563,0.5048297,0.5100567,0.5081135,0.49778426,0.48198208,0.47094095,0.46844888,0.47389415,0.48325586,0.4959093,0.5134461,0.5323684,0.5455456,0.54413223,0.5317576,0.5172673,0.5112336,0.5114114,0.5120673,0.50851876,0.50492704,0.5079686,0.51880455,0.53171474,0.53568256,0.5280078,0.5127431,0.50081736,0.49585578,0.49601558,0.4962312,0.49693897,0.50367576,0.5183734,0.5359197,0.54348373,0.5359116,0.51668364,0.4993435,0.49323955,0.50282246,0.52268595,0.5440776,0.5557695,0.5533393,0.53795165,0.5172027,0.49716997,0.48229983,0.47400603,0.47295085,0.47995046,0.49181604,0.50273615,0.5024344,0.48691437,0.45799914,0.42741123,0.40867636,0.41132998,0.43345967,0.46054232,0.4783431,0.4806968,0.47496065,0.46933445,0.4683949,0.47126114,0.47793224,0.49044204,0.50649387,0.51891214,0.51765823,0.50479835,0.4901919,0.48553666,0.48751703,0.48609844,0.4740797,0.4581325,0.45144153,0.460158,0.47821942,0.48993826,0.48688865,0.47070706,0.45452008,0.44792095,0.4550121,0.46821806,0.4783932,0.4766166,0.46423027,0.44538796,0.42611682,0.40982914,0.39962605,0.39816558,0.4019139,0.4099362,0.42025018,0.43801948,0.46062085,0.48708043,0.5124698,0.53663754,0.5560028,0.5661554,0.56263465,0.54442126,0.5173585,0.48970738,0.47031578,0.46244106,0.46704698,0.48161983,0.5014478,0.5191477,0.5301781,0.53480583,0.5357569,0.5336632,0.52703196,0.5153137,0.50000864,0.4840441,0.47090825,0.4644926,0.46793416,0.48074397,0.4974273,0.5098222,0.51280063,0.5076624,0.4989905,0.48927653,0.47738996,0.4627035,0.44873714,0.44170234,0.44662848,0.46136275,0.47835433,0.48688364,0.48448765,0.47463202,0.46548307,0.45815083,0.44997695,0.43820694,0.4261389,0.42288324,0.43165645,0.44873738,0.4589834,0.456216,0.44285917,0.43369624,0.43786368,0.4549168,0.47719693,0.49366948,0.502517,0.5019999,0.4982262,0.48864183,0.47519246,0.457418,0.44429564,0.44220862,0.4511849,0.46102783,0.45939532,0.44624364,0.427992,0.41413465,0.40283725,0.39749968,0.40054038,0.41819897,0.43974856,0.45448098,0.45379636,0.44598374,0.4389573,0.43777025,0.44034648,0.44577384,0.4559988,0.46940327,0.48091057,0.48109722,0.47056782,0.45450625,0.4420422,0.43280557,0.4247841,0.41691324,0.41439918,0.4227874,0.43995857,0.45722735,0.46160212,0.45153746,0.43337655,0.4206196,0.41731033,0.42205194,0.43006933,0.44178727,0.4597104,0.4808556,0.49793744,0.50162405,0.49604094,0.48942438,0.49298558,0.50397444,0.5184584,0.5291834,0.53597444,0.5376747,0.53617483,0.5322179,0.5268449,0.5211346,0.51486975,0.5087114,0.5009245,0.49534085,0.49551812,0.50501233,0.518442,0.52635884,0.52130395,0.50198203,0.47836912,0.45845547,0.44699824,0.43332896,0.410906,0.37795138,0.34588042,0.32136598,0.30644873,0.2963412,0.2883334,0.2814698,0.2762823,0.272823,0.27060625,0.26923147,0.26840624,0.26821792,0.26875353,0.27036402,0.2731617,0.27691463,0.28047827,0.28280172,0.28311387,0.28193304,0.27973798,0.27689853,0.27236745,0.26480672,0.25415698,0.24330361,0.23734514,0.23933615,0.24795727,0.25808376,0.2654219,0.26886702,0.26998463,0.27058044,0.27117762,0.2712883,0.2701173,0.26760456,0.26448128,0.2619505,0.2605708,0.2600095,0.25918517,0.25691992,0.25189212,0.24230736,0.22602612,0.20143722,0.16908817,0.13216884,0.095899396,0.06773504,0.05871162,0.085045815,0.15911041,0.27815244,0.41568065,0.5368288,0.61763865,0.6597608,0.6791026,0.6927163,0.70590156,0.71897364,0.7292359,0.7408506,0.7567195,0.77991027,0.80581623,0.82908344,0.84572333,0.85548407,0.8621456,0.8664244,0.86947316,0.8672189,0.85834736,0.841157,0.81957674,0.8004885,0.7901383,0.79024816,0.7943979,0.79715466,0.7928505,0.7818311,0.7633036,0.7418251,0.7211222,0.70473164,0.6911122,0.67928195,0.67140913,0.6698534,0.67099756,0.6669548,0.65523165,0.6455088,0.64979863,0.67027146,0.69466496,0.70844585,0.7060012,0.691966,0.67458963,0.659483,0.6465873,0.63429517,0.61905676,0.6061854,0.5994502,0.6059685,0.61846536,0.63125515,0.63223,0.6208226,0.59604686,0.567238,0.5428858,0.5342646,0.54593855,0.5737345,0.60607964,0.62720674,0.63386625,0.63051796,0.631733,0.63987285,0.6531729,0.66351265,0.6727314,0.68479115,0.7031247,0.7228003,0.73432773,0.7301914,0.70660394,0.66553086,0.61024237,0.55037105,0.49719724,0.4638963,0.45579922,0.47022262,0.4955194,0.51795614,0.5284746,0.5265904,0.52058625,0.5202348,0.53253984,0.55365366,0.57271117,0.5757744,0.5609722,0.5372041,0.51991016,0.5155125,0.5193557,0.51897025,0.5035974,0.4720969,0.43261763,0.3991574,0.38151014,0.38140678,0.39080656,0.39738497,0.39162624,0.37294343,0.35147938,0.3423427,0.35993972,0.4056684,0.46775135,0.5213247,0.55092883,0.5561759,0.55568177,0.5669883,0.59644085,0.6359952,0.66848403,0.6840157,0.6801934,0.66913366,0.6576495,0.6509108,0.64442784,0.6397694,0.63844734,0.6433043,0.6506982,0.65357536,0.64847136,0.63536245,0.6226306,0.61341375,0.6122434,0.6134308,0.6163842,0.6163764,0.61620426,0.615374,0.6190922,0.63059336,0.65331507,0.6808818,0.7023023,0.7083338,0.70264053,0.6952806,0.6917176,0.68528956,0.66875243,0.6453331,0.62956876,0.63008624,0.64312273,0.65357035,0.6531167,0.6386997,0.61775213,0.5947769,0.5802924,0.5776227,0.5910072,0.6124387,0.6345908,0.6471488,0.6496087,0.64734477,0.64709395,0.649221,0.6440086,0.62632185,0.5982216,0.5731255,0.55909485,0.55765754,0.56203485,0.56654996,0.5680988,0.5672787,0.56580496,0.56527466,0.5659539,0.567638,0.57047457,0.57538277,0.5829947,0.5927465,0.60284644,0.6110795,0.61597604,0.6174348,0.6159974,0.61197186,0.6049404,0.5954626,0.58558756,0.5781462,0.5744404,0.57369167,0.5746145,0.5766831,0.58028144,0.58503765,0.5894132,0.5911057,0.58818656,0.5802293,0.5683884,0.5556607,0.54488736,0.5381215,0.5348461,0.5342288,0.53498125,0.5374276,0.54152423,0.54792833,0.5568011,0.56829756,0.58170605,0.595629,0.60920316,0.62196255,0.6334622,0.63945657,0.6309896,0.5946236,0.52227277,0.41826415,0.30395997,0.20464122,0.13763425,0.102622665,0.089589454,0.086662285,0.087168194,0.087949544,0.08802717,0.08718421,0.086050265,0.08545422,0.085783035,0.08675934,0.08785397,0.08898318,0.09040764,0.092287205,0.094137974,0.095432125,0.09591873]