[0.006649594,0.0069054626,0.007526389,0.008406101,0.009413406,0.010341585,0.0110408915,0.011414737,0.011546913,0.011649272,0.011970799,0.012657366,0.0136869745,0.014897063,0.015954094,0.01641565,0.01591224,0.014457163,0.012511201,0.010713638,0.009539541,0.009303148,0.010448488,0.013562349,0.018841935,0.02549752,0.031804934,0.036122188,0.03776103,0.037256803,0.035421662,0.03273431,0.029148178,0.02474191,0.02004894,0.016009403,0.013724313,0.014055181,0.01740992,0.023327956,0.03061141,0.037525598,0.04250838,0.044692952,0.04435915,0.042594273,0.040459532,0.038199943,0.03533801,0.03154395,0.027418414,0.024282403,0.023452843,0.025275737,0.029273445,0.033995323,0.03790517,0.039371673,0.03796056,0.03412668,0.0293931,0.024930425,0.021512821,0.019150672,0.017733337,0.016910864,0.016378304,0.015833963,0.01532114,0.015122981,0.015603803,0.016816048,0.018445559,0.019991463,0.02101346,0.021255324,0.020599663,0.01913208,0.017134214,0.015035027,0.013188519,0.011750519,0.010676976,0.009840765,0.009175262,0.008756346,0.008780794,0.009368617,0.0103289345,0.011156385,0.011399746,0.011255826,0.011821491,0.014629611,0.020548983,0.028923785,0.037751853,0.04490721,0.04934148,0.051245585,0.051410306,0.050514925,0.049156632,0.047870368,0.047082406,0.046796214,0.046617825,0.04617824,0.045268487,0.04402588,0.042558342,0.041065034,0.03970544,0.03869229,0.038228095,0.038390752,0.039170012,0.04032447,0.041518304,0.04244059,0.043041248,0.043495152,0.04399601,0.044573624,0.045242134,0.046014115,0.04696851,0.04794444,0.048729282,0.049116496,0.049113568,0.048849974,0.048427105,0.047959417,0.047439676,0.046952803,0.04654189,0.046386406,0.04657309,0.047125567,0.047938485,0.048900023,0.049921498,0.050879505,0.051607374,0.051928695,0.051805735,0.05142354,0.051138118,0.051249597,0.051728487,0.052194532,0.052272066,0.051951826,0.051661838,0.051792067,0.052346155,0.05297037,0.053405832,0.05391404,0.054961994,0.056861427,0.059214238,0.061504718,0.06351497,0.06578676,0.068918504,0.07290203,0.07682999,0.07959329,0.0806669,0.0804204,0.07950168,0.07834676,0.07686994,0.07498121,0.072690316,0.070387244,0.06844618,0.06721994,0.06665873,0.066544116,0.06649101,0.066356875,0.0660773,0.06583783,0.065815836,0.06638218,0.067663096,0.06958691,0.0716256,0.07328694,0.07420055,0.07441112,0.074171476,0.07395352,0.07425562,0.075420655,0.07736241,0.07946061,0.080937654,0.08118575,0.08025888,0.07863653,0.07729655,0.07693107,0.07783111,0.07943121,0.08140982,0.084326826,0.090034865,0.10014554,0.114787795,0.1322034,0.14988889,0.16552128,0.17725189,0.18403776,0.18603909,0.18504709,0.18322587,0.18216206,0.18193531,0.18208337,0.18204613,0.18171261,0.18104869,0.17999376,0.17872041,0.17783718,0.17842115,0.18118678,0.18597163,0.19172502,0.19706005,0.2008711,0.20260054,0.20249806,0.20141281,0.20005472,0.19844073,0.19593401,0.19222182,0.18760647,0.18277295,0.17823057,0.17419325,0.17073838,0.16778491,0.16537516,0.16394176,0.16417117,0.16639306,0.16981791,0.17315038,0.17522232,0.17589323,0.17549944,0.17469372,0.17393388,0.17364223,0.17374866,0.17382173,0.1732562,0.17214037,0.17112617,0.17097618,0.17170727,0.1727304,0.17321128,0.1726618,0.1711904,0.16961335,0.16888629,0.16930331,0.17010613,0.17033078,0.16979115,0.16924155,0.16937278,0.17000784,0.1704179,0.1701181,0.1694513,0.16891724,0.168791,0.16883916,0.16892444,0.16899328,0.16877677,0.16765195,0.16500528,0.16127576,0.15775968,0.15603115,0.15661836,0.1590882,0.16243625,0.16582523,0.16864657,0.1705968,0.17160113,0.17180447,0.1712246,0.17000093,0.16856407,0.1678968,0.16870618,0.17077434,0.17294376,0.1740176,0.17360921,0.17197146,0.16955549,0.16668783,0.16392183,0.16215336,0.16229333,0.16452523,0.1678506,0.16966023,0.16659218,0.1556529,0.13686906,0.11340547,0.09073951,0.073036484,0.061917584,0.056055233,0.053304326,0.051660445,0.05004366,0.047767907,0.044497203,0.040222216,0.035550263,0.031493407,0.028903605,0.027879586,0.027696403,0.027275883,0.025915762,0.023622029,0.021007486,0.018728243,0.017192692,0.016407058,0.01621111,0.016315678,0.016530832,0.01669964,0.016786458,0.016718438,0.016447045,0.015958805,0.0152805755,0.014513481,0.013734168,0.013104553,0.012730182,0.012658942,0.01268401,0.012415308,0.011512265,0.010037347,0.008472859,0.0073480513,0.006809892,0.006641833,0.0065328614,0.0063545057,0.006108461,0.005863929,0.005653775,0.005484456,0.0052683917,0.0049121906,0.0043484434,0.0036888197,0.0031169008,0.0028978584,0.0031388402,0.003833142,0.0047142194,0.0054798336,0.0057974905,0.0055702054,0.0049171546,0.004223863,0.003890854,0.004092978,0.004663602,0.0052456222,0.0056361374,0.005866745,0.006100243,0.006341766,0.006433392,0.0061953426,0.0056247897,0.0049039437,0.004234658,0.0037209971,0.0033289248,0.00301434,0.0027799094,0.0026777908,0.002752008,0.0030069698,0.0034529206,0.0040259506,0.004595261,0.004959597,0.005419889,0.007389698,0.014164895,0.030091539,0.058661327,0.09945015,0.14748351,0.19509351,0.23610063,0.2681189,0.29248115,0.3119218,0.32880533,0.34380725,0.35602558,0.36381534,0.36682975,0.36706305,0.36768627,0.37030172,0.37314582,0.37250936,0.36608472,0.35528353,0.34466466,0.33885446,0.3395805,0.3448219,0.3500441,0.35166717,0.34909093,0.34550378,0.34478274,0.348668,0.3551354,0.36054993,0.36281344,0.36340988,0.36589137,0.37256202,0.38106152,0.3856598,0.3813168,0.36882553,0.3541766,0.34398243,0.34042743,0.3400927,0.3372388,0.32645866,0.3057985,0.27623135,0.24216048,0.20868342,0.18039876,0.15914704,0.14459376,0.13521785,0.12998395,0.12847443,0.13002537,0.13293,0.13476203,0.13394773,0.13075264,0.1272708,0.12518887,0.1247375,0.12417718,0.122558236,0.12054047,0.120825194,0.12514763,0.13318531,0.14239569,0.15061055,0.15797831,0.16725652,0.18186402,0.2022723,0.22500587,0.24450774,0.25890124,0.27084675,0.28543398,0.30360165,0.32328638,0.3392663,0.34704438,0.34005642,0.3154347,0.27553716,0.23086299,0.19127856,0.16184537,0.14051338,0.12453274,0.11271063,0.10624832,0.105159104,0.107608564,0.11050188,0.111984946,0.11234898,0.1128423,0.11401401,0.11506116,0.115532935,0.11580495,0.11682919,0.11833936,0.11997343,0.12217728,0.12701917,0.1355082,0.14631118,0.15597557,0.16188814,0.16366768,0.16308728,0.16295195,0.16647923,0.1762079,0.19287877,0.21616012,0.2488503,0.2987686,0.37408248,0.47290483,0.5802221,0.6756294,0.7466986,0.7928762,0.8199455,0.8311718,0.8255581,0.80251163,0.7679541,0.73535293,0.7191971,0.7268006,0.754241,0.7903169,0.82328695,0.8470366,0.86297196,0.87787527,0.8976493,0.9219411,0.9435475,0.9541431,0.95068604,0.938054,0.9251239,0.9180563,0.91526675,0.90733427,0.8825104,0.8321781,0.75648475,0.6626675,0.56393594,0.472356,0.39808318,0.34475386,0.31183168,0.29356423,0.28402153,0.27825704,0.27462402,0.27276874,0.27294788,0.27431688,0.2750887,0.27289605,0.26699874,0.2588557,0.251444,0.2465989,0.24449034,0.24389304,0.24371809,0.24232882,0.23839287,0.23143578,0.22498149,0.22447409,0.2341642,0.25110957,0.26766327,0.27701616,0.27969873,0.28144702,0.28617832,0.29200485,0.29286635,0.28513506,0.2694999,0.25028506,0.23185271,0.2173869,0.20947845,0.21078123,0.22382666,0.2481271,0.27934423,0.31167296,0.34253776,0.37447214,0.4116467,0.4566029,0.50802374,0.5616452,0.6093307,0.6410013,0.6467573,0.62198484,0.568405,0.4956579,0.4175041,0.34848383,0.29675817,0.26264152,0.24018888,0.22365391,0.21081765,0.20284079,0.20079176,0.2034232,0.20788507,0.21151364,0.21338822,0.21283376,0.20930903,0.20139319,0.18963532,0.1763469,0.16610962,0.16158222,0.16227114,0.16405039,0.16322549,0.15852149,0.15201358,0.14626598,0.14313503,0.14212973,0.14215289,0.14130211,0.13879919,0.13415188,0.12855728,0.12358195,0.12115067,0.12194556,0.12545775,0.1302412,0.13424265,0.13594617,0.13501392,0.135872,0.14757586,0.18265428,0.24637158,0.33342656,0.42729452,0.51330036,0.5797891,0.6185353,0.62037843,0.58392245,0.5212116,0.45309886,0.39720652,0.35805592,0.33256283,0.31433725,0.30078217,0.28934947,0.2798433,0.27311268,0.27522895,0.2950075,0.33848897,0.40149724,0.46765995,0.5161299,0.53134626,0.510377,0.46250808,0.4029181,0.3463055,0.30082044,0.26985466,0.2521781,0.24565901,0.24536735,0.24680655,0.24586396,0.2433886,0.24361336,0.25646484,0.29090163,0.35222006,0.4319935,0.511553,0.5657816,0.5788235,0.5491529,0.49102303,0.4231619,0.36122194,0.31290922,0.28025305,0.26066193,0.24924703,0.2407041,0.23348486,0.22965205,0.23283653,0.24398156,0.26224315,0.28767788,0.32317093,0.3717903,0.43252197,0.49867144,0.5584605,0.5967226,0.599665,0.56189317,0.4932275,0.41414773,0.34567884,0.29879788,0.2741121,0.2659357,0.2661806,0.26716772,0.26287392,0.25240114,0.23794846,0.22434425,0.21583064,0.21806423,0.23698008,0.27666292,0.33509287,0.40237868,0.4644278,0.5072845,0.5217573,0.5050501,0.4624845,0.40718985,0.35492256,0.31709614,0.29559836,0.28569552,0.2812116,0.27843907,0.2765253,0.27724704,0.28525743,0.3063418,0.3432442,0.3926551,0.4443258,0.48671892,0.51165205,0.5197913,0.51740485,0.51036894,0.49803105,0.47424734,0.43511853,0.38356128,0.32974407,0.28441626,0.25504193,0.24300931,0.24520457,0.25566664,0.26755294,0.27466846,0.27196065,0.25758484,0.23325588,0.20502049,0.18070562,0.16775668,0.1710767,0.192304,0.2295438,0.27713838,0.3268736,0.37123573,0.40609333,0.43215987,0.45172992,0.4668881,0.47728655,0.48240116,0.4823134,0.47839049,0.47291446,0.46831813,0.46800303,0.47369948,0.4853755,0.499195,0.51105666,0.5173518,0.51775676,0.51412463,0.51005334,0.508187,0.50858665,0.5091234,0.5081095,0.50609165,0.5050389,0.5056524,0.5070364,0.50746554,0.5062925,0.50365275,0.5000928,0.49626908,0.49276963,0.4904597,0.48916474,0.48873606,0.48893902,0.49137425,0.49719524,0.50594944,0.5140195,0.51797324,0.5164086,0.5116046,0.5061197,0.502451,0.5012794,0.5038295,0.50984997,0.51755124,0.5224166,0.5206775,0.5123446,0.5018119,0.49454054,0.4926571,0.49466458,0.496709,0.49609503,0.4915204,0.48481265,0.47887278,0.47638357,0.47595227,0.4729773,0.46264848,0.4437064,0.41865528,0.3906826,0.36224344,0.3348514,0.31089672,0.29256138,0.2808713,0.27354965,0.266551,0.25567108,0.23985422,0.22097401,0.20246518,0.18777429,0.17991722,0.18302703,0.19962631,0.22916003,0.2645077,0.29631594,0.3159151,0.31995094,0.3084189,0.28396177,0.2503693,0.2131359,0.17801213,0.14896365,0.12704538,0.1116231,0.10198531,0.09772661,0.097462535,0.09877774,0.099206954,0.09799442,0.09622034,0.09566375,0.09691819,0.098216176,0.09639391,0.08919563,0.07752026,0.06455514,0.053744614,0.04649766,0.042556148,0.040611308,0.03954734,0.03864794,0.037892755,0.03740986,0.037000682,0.036020845,0.034032043,0.031233447,0.028253585,0.025501622,0.023329116,0.022508478,0.025034897,0.033680495,0.051987257,0.082921445,0.12797011,0.1843579,0.24553011,0.30308363,0.351931,0.39156815,0.4248446,0.4540131,0.47852972,0.49558973,0.5021748,0.498778,0.49023163,0.48431167,0.48639336,0.49606487,0.5079037,0.51654387,0.5215809,0.52698404,0.5370025,0.55072093,0.56308,0.56829137,0.56600237,0.5607652,0.55999595,0.568032,0.584102,0.60190505,0.61313266,0.61270493,0.60175085,0.5871088,0.5748751,0.56583494,0.55555993,0.5401859,0.5213005,0.5039815,0.49135503,0.4806327,0.46546963,0.44178852,0.40989044,0.37405622,0.33809188,0.3059515,0.28076568,0.2660645,0.26198578,0.26546577,0.26963767,0.26945487,0.2626456,0.25287727,0.24402344,0.23893441,0.23520033,0.23067522,0.2252919,0.22429979,0.23342204,0.25535882,0.28636947,0.31795576,0.3410193,0.35010043,0.3458967,0.33312535,0.3177259,0.30375335,0.29321012,0.28587437,0.28022334,0.27386522,0.26523376,0.25377247,0.24061787,0.22797196,0.21825075,0.21292718,0.21117097,0.2121477,0.21525812,0.22238652,0.23522921,0.25627527,0.28667292,0.32658485,0.37254083,0.41848007,0.4568206,0.48124433,0.48646733,0.4712608,0.4419587,0.4148793,0.40666416,0.4199356,0.43728006,0.43452033,0.40274525,0.35648283,0.32110572,0.31017885,0.31652,0.32097626,0.31000558,0.28418222,0.25424471,0.23121057,0.21984093,0.21951087,0.22733636,0.24138103,0.26050517,0.28359056,0.30891034,0.3334731,0.35532153,0.37353578,0.38947257,0.40248713,0.412038,0.42007875,0.43587196,0.46710363,0.5095679,0.5434706,0.54959726,0.5264295,0.49295607,0.4726206,0.47580373,0.49607816,0.5195451,0.53622776,0.54364777,0.54224473,0.5325032,0.5152685,0.49589774,0.48309842,0.4872632,0.5176032,0.57641935,0.6522711,0.71827465,0.74850875,0.7344635,0.69085807,0.64151686,0.6065195,0.5965627,0.6122665,0.644216,0.67465955,0.68889326,0.68376905,0.670902,0.66571945,0.6778836,0.7046601,0.73569536,0.7585592,0.76420957,0.74717194,0.70737237,0.65151936,0.59221345,0.5405249,0.5003819,0.47081146,0.45270097,0.4487313,0.45710537,0.46943745,0.4787672,0.48602936,0.49741983,0.5139467,0.52820045,0.5295008,0.5139081,0.48608658,0.456185,0.4300662,0.40865,0.3871211,0.36540988,0.34712732,0.34114635,0.35059035,0.37304485,0.3991879,0.42111215,0.43295062,0.43324772,0.42122832,0.39881054,0.36932826,0.33979297,0.3167663,0.30454335,0.30109465,0.3005878,0.297586,0.29130784,0.28494692,0.27963313,0.27341315,0.2622634,0.24696626,0.23124178,0.22073664,0.21816869,0.22444992,0.23801549,0.25535858,0.27174485,0.28204432,0.28381947,0.27763474,0.267895,0.2592887,0.25401422,0.25142774,0.24851942,0.24351294,0.23554552,0.22806923,0.22465189,0.22655492,0.22866088,0.22567146,0.21674486,0.20784688,0.20442891,0.20820849,0.21565886,0.22384202,0.23091154,0.23648052,0.23863429,0.23541094,0.22748864,0.21890366,0.2148697,0.21694386,0.22326066,0.23022354,0.23570366,0.2380247,0.2361614,0.23142523,0.23046249,0.24138726,0.2669325,0.2997347,0.328496,0.34537554,0.34832978,0.33690652,0.31068277,0.2731011,0.23311548,0.20116194,0.18190132,0.17286026,0.16875964,0.1669275,0.16848885,0.17490023,0.18445061,0.1916881,0.19261177,0.18989696,0.19397403,0.21495707,0.2529777,0.29509035,0.3246003,0.33323264,0.3252944,0.31028044,0.2950494,0.28247464,0.2750022,0.27421516,0.27773765,0.27878305,0.27123782,0.2548161,0.23524535,0.22071315,0.21745361,0.22689217,0.2452112,0.2656125,0.28330642,0.2963654,0.30448708,0.30474526,0.29508987,0.27817443,0.26500866,0.268039,0.29254976,0.33059785,0.3652136,0.38040617,0.3695426,0.3379562,0.2973959,0.26015326,0.23415826,0.2240085,0.23122899,0.25221428,0.27651903,0.28894427,0.28033087,0.25219992,0.21704261,0.18670653,0.16746096,0.15766203,0.15398909,0.15374942,0.15608059,0.15976518,0.16369157,0.16752158,0.17297192,0.18184735,0.19495855,0.21061265,0.22716634,0.24296649,0.25851086,0.27466086,0.2945566,0.3196019,0.34806204,0.37127256,0.37959877,0.3674842,0.33920828,0.30490592,0.2758155,0.25803685,0.25223756,0.25567314,0.26599357,0.28168502,0.29921994,0.3125871,0.31522104,0.30657688,0.29029933,0.27303565,0.2571021,0.24333076,0.23028345,0.21852191,0.20884597,0.20260702,0.20017557,0.19997133,0.19934623,0.1956303,0.18877642,0.18079408,0.17482145,0.17333585,0.1779354,0.1889767,0.20534493,0.22401887,0.24150646,0.25540078,0.26668474,0.27879643,0.2952834,0.31591818,0.33613715,0.34899393,0.34891245,0.3343211,0.30947685,0.28418076,0.26972106,0.27242717,0.28906065,0.30989358,0.3259581,0.33497605,0.340654,0.3476505,0.3577505,0.36903656,0.37827957,0.38350126,0.38490558,0.38487515,0.3850361,0.38514242,0.3816205,0.37056446,0.3506999,0.32640088,0.30665436,0.3009459,0.31354424,0.34073102,0.37242296,0.398535,0.41338313,0.41691136,0.41175866,0.40207505,0.39322808,0.3903916,0.39566633,0.4058858,0.4152896,0.41835132,0.41281548,0.39961514,0.38265085,0.3662325,0.3527032,0.3432587,0.33974266,0.34591648,0.362022,0.38207182,0.39421952,0.38948026,0.3684683,0.3419461,0.3228712,0.31595266,0.3159109,0.31260276,0.30151293,0.28664324,0.2794046,0.29024574,0.32124665,0.36162773,0.39322916,0.40297067,0.39134917,0.3698597,0.3497716,0.33554092,0.32716215,0.32530102,0.33163834,0.34315538,0.35090092,0.34440732,0.32093367,0.28751865,0.2562403,0.2356202,0.22629362,0.2237851,0.22294514,0.22220623,0.22253229,0.22566414,0.2319957,0.2396005,0.24628574,0.25042838,0.25399867,0.2593819,0.26727912,0.27352372,0.27358747,0.2675105,0.26121244,0.26088262,0.26655316,0.27339077,0.27682307,0.27753758,0.2785202,0.28193936,0.2873236,0.29403135,0.30197254,0.31087935,0.3202223,0.3294456,0.33840868,0.34436443,0.34291235,0.33039868,0.3091279,0.2862223,0.2697835,0.26391038,0.26771715,0.277373,0.28909454,0.30126026,0.3138108,0.32691285,0.33850548,0.34538487,0.34368137,0.33330524,0.31727704,0.302379,0.2939688,0.29549825,0.3059268,0.32158235,0.33522734,0.34011826,0.33282354,0.31796876,0.3052499,0.30352643,0.31330273,0.32642034,0.33234638,0.3257726,0.30959558,0.29178366,0.2798004,0.27709314,0.28145936,0.28709975,0.2874023,0.27880904,0.2623544,0.24190915,0.22144096,0.20217954,0.1840388,0.1674145,0.1554306,0.15128374,0.15487628,0.1601506,0.15901828,0.14669389,0.12587732,0.10357054,0.08626587,0.0758661,0.07082475,0.06834259,0.066282175,0.06340132,0.05920528,0.053891633,0.04793693,0.041957486,0.036372807,0.03160511,0.027862644,0.025294403,0.023776485,0.023111498,0.022886239,0.022721283,0.022204697,0.021141343,0.019499542,0.01756292,0.015679412,0.014115446,0.012874659,0.011823094,0.010855485,0.009891088,0.008906381,0.00786167,0.006928857,0.0063502328,0.0063879383,0.0070412518,0.008387767,0.011181794,0.017224139,0.02861969,0.04575194,0.0665001,0.08716563,0.10595203,0.123920955,0.14416039,0.16758023,0.19176267,0.21148168,0.22293623,0.22577016,0.2232377,0.21919976,0.21605289,0.2143717,0.21419561,0.21585314,0.21984355,0.22579747,0.23246585,0.23762642,0.24010377,0.23972781,0.23803155,0.23603928,0.23501481,0.2365299,0.24279374,0.25347194,0.264078,0.26873803,0.2659818,0.25998676,0.25577292,0.25345626,0.24949522,0.24161305,0.23274778,0.22888337,0.23490246,0.2514464,0.27441865,0.2985532,0.3198633,0.3387587,0.3568901,0.37662697,0.39783382,0.41898832,0.4358329,0.4445516,0.44499663,0.44345894,0.44899186,0.46674037,0.49329898,0.51957995,0.5370195,0.5434143,0.5420601,0.5386727,0.5368411,0.53738976,0.5390721,0.5406086,0.54204017,0.54407984,0.5469682,0.54791135,0.54278415,0.52859634,0.5077898,0.48696485,0.47319233,0.46932304,0.47274235,0.47843143,0.48284504,0.48715994,0.4947555,0.5064647,0.516585,0.5157869,0.4978559,0.4650439,0.42732415,0.39600602,0.3784629,0.37359795,0.3771207,0.38208017,0.38712165,0.3909291,0.39687482,0.40550855,0.41814217,0.43290672,0.44873467,0.46513364,0.4815781,0.49392167,0.49550512,0.47857177,0.4437356,0.39517176,0.34421065,0.29640508,0.25876823,0.23203373,0.21744406,0.20975065,0.20365608,0.19524918,0.18588008,0.17851828,0.17446311,0.17265683,0.17273636,0.17516609,0.18098086,0.18797393,0.19359823,0.19490512,0.19255514,0.1873383,0.18079668,0.17290127,0.16533153,0.16130422,0.16593893,0.18317163,0.2142688,0.2572919,0.30838108,0.3635384,0.41939047,0.47320238,0.52158815,0.5601208,0.5846283,0.5940581,0.5928071,0.5886068,0.5880911,0.5921497,0.59788084,0.6015294,0.6024249,0.60027784,0.59504765,0.58543247,0.5721174,0.55715543,0.54396677,0.53495437,0.53159976,0.53436995,0.5423433,0.5518635,0.55707407,0.55404013,0.5442222,0.5341441,0.5304286,0.5358688,0.5492367,0.5666465,0.5840537,0.5973522,0.6045868,0.6053739,0.6016914,0.5955741,0.5885454,0.5794647,0.56481576,0.5396099,0.5013274,0.45189404,0.39740494,0.34417236,0.29687962,0.25880477,0.2335785,0.22374849,0.22810934,0.2406171,0.2535499,0.262085,0.26640484,0.27031317,0.27757207,0.28919867,0.30261806,0.31360137,0.31904486,0.31800365,0.31089172,0.2974464,0.27787408,0.25393286,0.23040487,0.21279687,0.2047016,0.20603913,0.21332605,0.2231471,0.23255032,0.24017243,0.24372673,0.24253817,0.23765981,0.23226358,0.22834961,0.22608869,0.22615527,0.23162083,0.24786484,0.27771962,0.32040727,0.37112808,0.4254366,0.47914562,0.52746034,0.56259894,0.5740908,0.5546324,0.50448996,0.43561593,0.36458957,0.30569875,0.26331174,0.2344142,0.21318863,0.19581068,0.18098523,0.16827063,0.15706457,0.14636074,0.13667315,0.13053842,0.13164242,0.14116476,0.1562135,0.17098941,0.1808529,0.18441755,0.1834051,0.18047984,0.17776941,0.17587645,0.17385025,0.16982181,0.16235168,0.15164901,0.13987888,0.1302708,0.12542085,0.12592494,0.13048692,0.1381009,0.15065254,0.1744725,0.21738128,0.2836272,0.36783075,0.45651484,0.53297967,0.5856009,0.60764545,0.5968504,0.5535123,0.4852992,0.4078594,0.33980188,0.29370034,0.27061534,0.26563784,0.27380672,0.29603818,0.33387956,0.38724053,0.45028853,0.51494783,0.57120895,0.6094265,0.6218315,0.60550576,0.5658968,0.51585364,0.47143972,0.4430791,0.42976788,0.42228913,0.41135755,0.39687243,0.3846053,0.38124573,0.38605085,0.39261076,0.39261007,0.38420734,0.3762006,0.38436738,0.42154685,0.48689678,0.5655587,0.6357741,0.6779487,0.6801446,0.6386953,0.5610673,0.4643648,0.37291488,0.30669597,0.27418092,0.26875398,0.27798012,0.2909085,0.3038967,0.31614932,0.32960996,0.3475543,0.37608516,0.4177898,0.46792933,0.5157818,0.55223495,0.5746417,0.583728,0.5786476,0.55732566,0.5203412,0.47508633,0.4298841,0.3915203,0.36123025,0.34027436,0.32804385,0.32331446,0.3222868,0.32399333,0.33100185,0.34895185,0.37996295,0.42111936,0.46417108,0.50141567,0.52819985,0.5437717,0.545772,0.5282519,0.485968,0.42423546,0.35958198,0.30967677,0.2791999,0.2612417,0.24587293,0.23072863,0.21672265,0.20508368,0.19397135,0.18421619,0.1793947,0.18667173,0.21022862,0.24974312,0.29522714,0.33398962,0.3542213,0.355624,0.34543476,0.334435,0.3273115,0.32142285,0.31262863,0.29969597,0.2882168,0.28171948,0.28000328,0.27688384,0.268996,0.2570152,0.24577014,0.23930351,0.24062842,0.2510408,0.27071348,0.29793787,0.3302931,0.36524284,0.39974582,0.4293767,0.44908366,0.45651904,0.45449254,0.44983375,0.4484097,0.45143995,0.45596847,0.45900223,0.45966563,0.45919442,0.45879674,0.4592383,0.4608129,0.4639677,0.4696649,0.47825506,0.48897633,0.49899292,0.5059269,0.5086419,0.5082271,0.5053757,0.5005364,0.4941983,0.48927462,0.48931536,0.49575698,0.5049162,0.51010704,0.5066733,0.49592653,0.48433605,0.47781578,0.47808912,0.48225722,0.48705915,0.4901117,0.4912369,0.49100804,0.49191412,0.49528816,0.50073576,0.5050021,0.5062047,0.5043406,0.50086206,0.49614015,0.49072802,0.48709905,0.48902896,0.497811,0.5094698,0.5169933,0.5150976,0.5037154,0.48619747,0.46676502,0.44820443,0.43383178,0.42750505,0.43238887,0.44563916,0.4573102,0.4540639,0.4287245,0.38493416,0.3354505,0.2926477,0.2625387,0.24324109,0.23085941,0.22352679,0.22218817,0.22658582,0.23306412,0.2363318,0.23334111,0.2247073,0.21355557,0.20339887,0.19767624,0.19806485,0.20350425,0.20977366,0.21236403,0.20967211,0.20369603,0.19816141,0.19480447,0.19280644,0.18979828,0.18476538,0.17849706,0.1723472,0.16686605,0.16139396,0.15563764,0.14989145,0.14508356,0.14162706,0.13890493,0.13533537,0.12861224,0.11745108,0.10269069,0.08756461,0.07540027,0.06710512,0.06112432,0.0550856,0.04835531,0.041722182,0.03658323,0.033268165,0.03125528,0.029661216,0.02810748,0.02677182,0.025952892,0.02569368,0.025633067,0.025407108,0.02484283,0.024096837,0.023371704,0.022764524,0.022399588,0.022729635,0.024952427,0.030471534,0.040465925,0.054793853,0.072860524,0.09377265,0.118441515,0.14831908,0.18543649,0.22845058,0.27326956,0.31327495,0.3441863,0.36504686,0.37787858,0.3855287,0.39096454,0.39819506,0.41091716,0.43101832,0.45604464,0.48086512,0.5004081,0.51280856,0.51901555,0.52020544,0.5168965,0.50920504,0.49863923,0.48578045,0.4697125,0.4484037,0.4225678,0.39663982,0.3760847,0.3650211,0.36461875,0.37564564,0.39543223,0.41795704,0.43173966,0.4285345,0.40657523,0.3746977,0.34335586,0.32029632,0.30531383,0.29520783,0.28655228,0.27847216,0.27103207,0.26403764,0.25683546,0.24959035,0.24411291,0.24453013,0.25422922,0.27410316,0.29942274,0.32333288,0.33880746,0.3427701,0.3346341,0.31693378,0.29392132,0.27201274,0.25659767,0.25001988,0.25031993,0.2535915,0.2562625,0.25668433,0.25589603,0.2577175,0.26767826,0.28967634,0.3234253,0.36369786,0.40306246,0.4332361,0.44835344,0.44496998,0.42657402,0.3997903,0.37402192,0.3520802,0.33346698,0.3137622,0.2940071,0.2765294,0.263762,0.25165462,0.23514979,0.21291983,0.19127315,0.17967087,0.18437916,0.20595855,0.24052657,0.2840649,0.33181933,0.37729743,0.40874484,0.41558242,0.3935493,0.35293362,0.30932736,0.27624044,0.2538993,0.23702079,0.22051741,0.20654517,0.19790907,0.19446887,0.1919939,0.18870337,0.1885282,0.19950092,0.22811885,0.27395535,0.33013168,0.38556954,0.43055788,0.4572886,0.46204332,0.4457356,0.4175456,0.3906574,0.37402853,0.36345637,0.34659776,0.3152887,0.2750993,0.23938553,0.21694748,0.20500968,0.19473024,0.1801755,0.1630025,0.14927669,0.14494425,0.1523571,0.16999847,0.1941003,0.22061335,0.24721248,0.2718903,0.2933787,0.3107178,0.32514334,0.337906,0.34967348,0.3598183,0.36836407,0.3746343,0.3777854,0.37715852,0.37545168,0.3763173,0.38254878,0.3933071,0.4061271,0.41732034,0.42427644,0.4266089,0.4266218,0.42660317,0.42643344,0.42489716,0.4220313,0.4194592,0.41845682,0.4192121,0.42268288,0.42969915,0.43959954,0.4485236,0.45322677,0.4534513,0.45196077,0.4510298,0.4515446,0.45333782,0.45607004,0.45759618,0.4554104,0.4475071,0.43481138,0.41862908,0.40078914,0.38227138,0.36403918,0.3450211,0.32332864,0.29860523,0.2742933,0.25532892,0.24398482,0.2381326,0.2335677,0.22775246,0.22177702,0.21863501,0.21972485,0.22224271,0.22173126,0.21674407,0.21198393,0.21403694,0.22683935,0.24811316,0.27323446,0.29653168,0.31506726,0.32827473,0.33964658,0.35229436,0.36585024,0.37527087,0.3763822,0.36927465,0.35696742,0.34028444,0.31706315,0.28630742,0.25170153,0.2203121,0.19675152,0.18064205,0.16761906,0.1545013,0.14134388,0.13135211,0.12768406,0.1320449,0.14484751,0.16638489,0.19617043,0.2304948,0.2618254,0.28281423,0.29248428,0.297341,0.3047738,0.31628382,0.32750854,0.33522487,0.3384854,0.33708236,0.327337,0.30894995,0.28608668,0.26799083,0.25963458,0.26133376,0.26895985,0.2792113,0.2903284,0.3021374,0.3147858,0.3277397,0.34016177,0.35091743,0.35930774,0.3652489,0.36983284,0.3739588,0.3761712,0.37168285,0.35577026,0.32752705,0.29130352,0.2531137,0.21794306,0.18824176,0.16529793,0.14948308,0.14098161,0.13930362,0.14342229,0.15145145,0.1618736,0.17407148,0.18777274,0.20152009,0.21270257,0.22011256,0.22520083,0.2315277,0.24182446,0.25748476,0.27831647,0.30320847,0.32880017,0.34999466,0.36107695,0.35974324,0.34839702,0.33420387,0.32366812,0.32028747,0.32280064,0.3292906,0.33676764,0.34201553,0.3401074,0.32890466,0.31075954,0.2924527,0.28053784,0.2786176,0.2874854,0.30588934,0.3308011,0.3560932,0.37411305,0.3790485,0.37146178,0.3579351,0.34687912,0.34175053,0.33999208,0.33516523,0.32363293,0.30626822,0.2897278,0.28126645,0.2866696,0.30522546,0.33179817,0.35686275,0.3725809,0.37407494,0.36299923,0.34524396,0.32974824,0.32387936,0.32997057,0.3428284,0.3533108,0.35444474,0.3473314,0.33776224,0.3323191,0.33167723,0.33357048,0.3326217,0.325881,0.31181678,0.29317185,0.273674,0.25763175,0.24684568,0.24097808,0.23796499,0.23518519,0.23177628,0.22784609,0.2253391,0.22378837,0.22214013,0.21780999,0.21191461,0.20710848,0.20636164,0.2082148,0.20864105,0.20496775,0.19908221,0.19569981,0.19880408,0.20996238,0.22932033,0.25475115,0.28279087,0.30894634,0.33172384,0.3507218,0.36579916,0.37374482,0.37115717,0.35557333,0.32907894,0.29868126,0.27472863,0.26596525,0.27245536,0.28687456,0.29687512,0.29636666,0.28527018,0.27127942,0.26082394,0.2584761,0.26422372,0.27593434,0.28955033,0.30136073,0.3104105,0.31893834,0.32954583,0.34251484,0.35752472,0.37656495,0.4026513,0.4318494,0.4537859,0.4599017,0.4567398,0.45809364,0.47235703,0.49181762,0.5044131,0.502536,0.48522958,0.4523585,0.40493682,0.35075888,0.3024194,0.2714421,0.25937128,0.26110956,0.26978078,0.28327376,0.30163643,0.32465294,0.3494186,0.37424096,0.3995324,0.42734456,0.45507932,0.475881,0.48187315,0.47279894,0.4561344,0.44278827,0.43869796,0.44344845,0.45328864,0.46607473,0.4815469,0.49817762,0.51079625,0.5127664,0.50087863,0.4778825,0.44965032,0.42092142,0.39353743,0.3686669,0.34867498,0.33631548,0.332793,0.3365085,0.3453177,0.3573203,0.37217414,0.38792673,0.40167138,0.4093889,0.41011783,0.4059496,0.40112117,0.39929557,0.40142462,0.4065174,0.41043147,0.40998292,0.40349427,0.39558014,0.39205936,0.3976101,0.40943322,0.42130852,0.42629144,0.4226847,0.4124522,0.40045905,0.3903958,0.3849721,0.38513112,0.39140126,0.4028988,0.41676143,0.42857206,0.43461904,0.4346509,0.43148997,0.42914784,0.42993274,0.4334987,0.43725565,0.43817556,0.4356754,0.4316478,0.4291091,0.42870128,0.4288677,0.42707482,0.42192587,0.414434,0.4080486,0.40694526,0.4123417,0.42039797,0.42580497,0.42638227,0.42584375,0.42888486,0.43675527,0.44574937,0.45115352,0.45179033,0.44994402,0.44939113,0.45091137,0.45309153,0.45249394,0.44663787,0.43320855,0.41113865,0.3809252,0.3456746,0.3099556,0.2767751,0.24640988,0.21731092,0.18945944,0.16545628,0.14926791,0.14348112,0.14675371,0.1540714,0.15839465,0.15497859,0.14358784,0.12860389,0.115116835,0.105752535,0.099589646,0.09413695,0.08736968,0.07865572,0.0687184,0.05885173,0.0503758,0.0436983,0.038669933,0.034842372,0.032113332,0.030361297,0.029316492,0.02844005,0.027255638,0.02547191,0.023051934,0.02018863,0.01734023,0.015139171,0.014001067,0.013832681,0.014017276,0.0139809055,0.013557919,0.013028998,0.012662381,0.012462832,0.012179506,0.011596764,0.010649581,0.009495107,0.008348438,0.00746635,0.0069680964,0.0068542245,0.006931487,0.0069276686,0.0066460255,0.006118782,0.0055975392,0.0052928296,0.0051911287,0.0050917366,0.004841607,0.0044936915,0.0042052013,0.00409912,0.0041491464,0.0042351214,0.0042055342,0.003952094,0.003486939,0.0029227745,0.002477415,0.0023397868,0.002689508,0.0036803868,0.0056190765,0.0089987265,0.0143118305,0.021786632,0.031223005,0.042628553,0.05621932,0.07247946,0.090437464,0.10777675,0.120838486,0.12767607,0.12892921,0.12822805,0.12913312,0.13309367,0.13860552,0.14277941,0.14303267,0.13852231,0.13018858,0.12103095,0.113554895,0.10924962,0.106794216,0.10548877,0.10525838,0.108294785,0.11599537,0.12881863,0.14464462,0.16009046,0.17165904,0.17803304,0.18052606,0.1814754,0.18233304,0.18287826,0.1828457,0.18271041,0.18385917,0.18625356,0.18835862,0.18734407,0.18256593,0.17512973,0.16749084,0.15986603,0.15095799,0.1392259,0.12556364,0.11335412,0.10623946,0.10568294,0.109331466,0.112702854,0.112146944,0.10746748,0.10214756,0.10040862,0.1040379,0.11038139,0.11460451,0.113447525,0.10769335,0.100594126,0.094975114,0.091715366,0.09085461,0.09218019,0.09536159,0.098792516,0.10022279,0.09787688,0.09242765,0.086980365,0.08519647,0.08872676,0.09677809,0.1074776,0.119299054,0.1302498,0.13752626,0.13820712,0.13182119,0.120602064,0.10809631,0.09657063,0.086484574,0.07708597,0.067743935,0.058658794,0.05115725,0.047098447,0.047430392,0.051263873,0.056386236,0.06157511,0.06744402,0.07582951,0.08746473,0.10218301,0.119393595,0.1389518,0.15960114,0.17814632,0.18993962,0.19090907,0.18025948,0.16137378,0.14094941,0.1252418,0.11697904,0.11490206,0.115479924,0.11565584,0.11350145,0.10946987,0.105020076,0.101862945,0.0997422,0.09781916,0.09628477,0.097786725,0.10506328,0.11770371,0.13091327,0.1381634,0.13591117,0.1260127,0.11451366,0.1075441,0.10819274,0.115500905,0.12596527,0.13582315,0.14347357,0.14999665,0.15774734,0.16706598,0.1753909,0.17897452,0.17662235,0.17034936,0.16366701,0.15950298,0.15984702,0.16551061,0.17442887,0.18103825,0.17892033,0.16550808,0.1449213,0.1257004,0.11643308,0.12083202,0.13667797,0.15720028,0.17600141,0.1908365,0.20416062,0.21863075,0.23254786,0.23984097,0.23540069,0.21983998,0.19944829,0.1814779,0.1700355,0.16483825,0.16367555,0.16549504,0.17163728,0.183155,0.19748813,0.20904018,0.21418093,0.2149585,0.216944,0.22323285,0.23121339,0.23553078,0.23415369,0.23185281,0.23669963,0.25358748,0.2790766,0.30429888,0.32107592,0.32778978,0.32787502,0.32488346,0.31844977,0.3053297,0.283844,0.25677603,0.23202209,0.21918555,0.22529538,0.24941652,0.28242457,0.3112282,0.32679793,0.3275555,0.31765893,0.30185032,0.2833825,0.26454505,0.24820952,0.23674518,0.23133981,0.2310517,0.23400366,0.23696156,0.23660421,0.23035909,0.21821153,0.20199172,0.18429744,0.16763984,0.15556456,0.1528167,0.16348565,0.18682885,0.21584624,0.23994859,0.25183216,0.2505276,0.2409692,0.2286752,0.21867226,0.21386398,0.21600403,0.2230919,0.23077811,0.23425531,0.2317385,0.22391163,0.2124974,0.19919215,0.18696195,0.17941539,0.17907286,0.18417639,0.1899391,0.19136763,0.18717982,0.17988957,0.17329794,0.16943766,0.16724563,0.1641562,0.1581806,0.14955413,0.14020036,0.13222812,0.12601626,0.12015808,0.112556756,0.102597654,0.09127477,0.08040779,0.07080176,0.062187213,0.05388631,0.046429813,0.041697133,0.04215536,0.048577175,0.05943824,0.071517386,0.08262061,0.092318825,0.10168216,0.11097657,0.119579196,0.1262861,0.13150282,0.13702077,0.14516991,0.1559648,0.16675293,0.17402865,0.17734806,0.18082541,0.19079335,0.21131055,0.24109876,0.27444318,0.3032491,0.31981602,0.31855336,0.2991552,0.26773205,0.23505424,0.21113591,0.2008776,0.20237236,0.20975699,0.21674402,0.22121203,0.22455339,0.22968018,0.23682077,0.24425976,0.25028527,0.25510845,0.2599351,0.26437488,0.2659568,0.26117584,0.24962105,0.2351857,0.22427185,0.22046934,0.22253884,0.2267748,0.23085892,0.2343462,0.23699744,0.23807098,0.23780549,0.23775369,0.23950447,0.24392755,0.25059268,0.25921008,0.26754582,0.27369916,0.27474406,0.27047375,0.26103875,0.24930657,0.23880474,0.23430063,0.23776017,0.24671042,0.25470263,0.2559482,0.24942692,0.23827185,0.22664142,0.21566953,0.20502292,0.19411397,0.18554376,0.18261771,0.18898948,0.20481752,0.22759946,0.25100705,0.26775005,0.27222726,0.26451185,0.25076577,0.23802185,0.22837484,0.21662849,0.1969632,0.16860317,0.13796966,0.11230532,0.09599384,0.089036606,0.090796135,0.10058562,0.117221266,0.13682511,0.15358382,0.16279335,0.16384025,0.16043036,0.15724583,0.15783441,0.16388498,0.17689247,0.1966017,0.22017826,0.24119689,0.25298905,0.25129294,0.23632012,0.21253268,0.18761407,0.17047445,0.16717404,0.17673123,0.19058193,0.19763698,0.1922486,0.17725013,0.160685,0.1490121,0.14399941,0.14411627,0.14738493,0.15254112,0.15844582,0.1636595,0.16690166,0.16731445,0.16568004,0.1639872,0.16542257,0.1701109,0.17467819,0.17232186,0.15969868,0.1381723,0.114173986,0.09339908,0.07970456,0.07387445,0.075716615,0.08377353,0.096158616,0.11037835,0.1243749,0.13702665,0.14798357,0.15729208,0.16403678,0.16759968,0.16739057,0.16463758,0.16059399,0.15751344,0.15731297,0.16262348,0.17480564,0.193469,0.21516289,0.23397076,0.24290363,0.23689087,0.2167471,0.18998127,0.16763572,0.1572722,0.15944083,0.1686698,0.17993669,0.19185786,0.20704551,0.22631352,0.24720971,0.2647569,0.2766155,0.28415,0.28957394,0.29279527,0.29055202,0.2814078,0.2685473,0.2589835,0.25687894,0.25885725,0.25800583,0.25055432,0.24138264,0.23696549,0.24028508,0.24598515,0.24781579,0.24281019,0.23514652,0.23067965,0.23198189,0.23579349,0.23618555,0.23044282,0.2203679,0.2111616,0.20622587,0.20639367,0.20950706,0.21303491,0.21470107,0.21276869,0.2060984,0.1943056,0.17969894,0.16699345,0.16178928,0.16685085,0.18043202,0.19751535,0.21166568,0.21769021,0.21306264,0.20017497,0.18449329,0.17085034,0.15951073,0.147801,0.13409312,0.1203807,0.11008874,0.10506815,0.104312,0.105525516,0.1064778,0.10579295,0.10303334,0.0990282,0.09573376,0.09494994,0.09719976,0.10159951,0.10748088,0.11495172,0.124761105,0.1364789,0.14930792,0.16142641,0.17194916,0.1793983,0.18434428,0.18801343,0.19263871,0.19785655,0.20133571,0.20072436,0.19620293,0.1900339,0.1833539,0.1750902,0.16267163,0.1453079,0.12493717,0.10548625,0.09021606,0.08036495,0.075100355,0.07244598,0.07009965,0.06638155,0.060783476,0.053892005,0.046566468,0.039640065,0.03391919,0.03018003,0.028474763,0.028095225,0.028145658,0.028459497,0.02931956,0.030619314,0.031463217,0.030777477,0.028294975,0.024663264,0.02100335,0.01812687,0.016373908,0.015978964,0.018015383,0.024857953,0.03930768,0.062130433,0.09100852,0.121281885,0.14988728,0.1754517,0.1980453,0.21507792,0.22417088,0.22394447,0.2180985,0.21077122,0.20541586,0.20110822,0.19682787,0.19222318,0.18963803,0.19095498,0.19677837,0.20594956,0.2165379,0.22670728,0.23481041,0.24023186,0.24250813,0.24139033,0.23707455,0.23155396,0.22895192,0.23319393,0.2463259,0.26605427,0.2875613,0.304466,0.31225634,0.30815724,0.29220846,0.2676862,0.24244107,0.22672749,0.22783466,0.24551834,0.27151418,0.29485014,0.3067621,0.30534065,0.29448354,0.2826173,0.27720404,0.2816854,0.29334652,0.3058628,0.31391597,0.31578624,0.31407732,0.3131229,0.31706262,0.328082,0.34411958,0.36028835,0.36900496,0.36578426,0.34887055,0.32311407,0.29604173,0.27856907,0.27678964,0.29066804,0.30959055,0.32156006,0.31754133,0.29918167,0.27286315,0.24673964,0.2247674,0.20947625,0.20280023,0.20902096,0.23156302,0.2708148,0.31846717,0.36071944,0.38183454,0.37506166,0.34407222,0.3031973,0.26815292,0.25063053,0.2539742,0.27410284,0.3022957,0.3280997,0.34541282,0.35500368,0.3639101,0.3776445,0.39607802,0.41545615,0.43368527,0.45207563,0.47097564,0.48791274,0.49871993,0.50183934,0.499512,0.49646592,0.49730945,0.5025663,0.5070596,0.50193554,0.48226216,0.45135248,0.41863224,0.3920525,0.37487984,0.3664252,0.36367193,0.36015654,0.34731433,0.3205668,0.2844155,0.25033268,0.22758918,0.21706277,0.21248542,0.2069502,0.19750087,0.18590857,0.1763754,0.17305683,0.17712551,0.18686551,0.19865976,0.20945692,0.2161383,0.21608287,0.20871197,0.19869642,0.19376676,0.19986184,0.21557301,0.23510182,0.25235668,0.26584002,0.27630177,0.28525898,0.29310632,0.2988133,0.29935014,0.29065686,0.27246454,0.25083128,0.23507078,0.23130174,0.24090047,0.26617607,0.3134309,0.3872856,0.48206416,0.57704514,0.645628,0.66531235,0.6326771,0.56344944,0.48554996,0.4217874,0.380164,0.3563076,0.33880463,0.31887138,0.29184875,0.2631642,0.24169181,0.23380584,0.23529184,0.23628913,0.23035021,0.22120307,0.2196214,0.23515184,0.26844218,0.31044304,0.3466721,0.36731938,0.37352076,0.37589446,0.38316062,0.39341676,0.39578342,0.3805777,0.34701952,0.30428407,0.26597604,0.24343802,0.23832308,0.24283244,0.24550186,0.24129899,0.23343885,0.229986,0.2368448,0.25585768,0.28474972,0.3184551,0.35043135,0.37471104,0.38878548,0.3937255,0.39351726,0.3928598,0.3957906,0.402715,0.40983808,0.41159883,0.40575382,0.3930854,0.374603,0.34875718,0.31647107,0.28265828,0.25572944,0.23975623,0.23504393,0.23802644,0.2464071,0.2569809,0.2675732,0.27561805,0.28015438,0.28032282,0.27632198,0.26932964,0.26242876,0.25881028,0.2598987,0.26367155,0.26618302,0.26399305,0.25629446,0.24456166,0.23143142,0.21909255,0.20874804,0.20029335,0.1935606,0.18946278,0.19027402,0.19817102,0.21207882,0.22777373,0.23918414,0.24398752,0.24303631,0.2395785,0.23411572,0.22687517,0.21958232,0.21830447,0.22803725,0.24745815,0.26645857,0.273178,0.26256838,0.23952919,0.2133214,0.18941385,0.16813569,0.1476479,0.12915048,0.11544108,0.10953642,0.11186975,0.12227174,0.13972072,0.1626574,0.18665756,0.20552671,0.2134342,0.20871174,0.1943946,0.17633514,0.1601612,0.14922674,0.14437033,0.14463706,0.14929603,0.15891261,0.1746475,0.19644953,0.2229817,0.25312075,0.28578213,0.3179491,0.3435829,0.35678586,0.354834,0.3391731,0.31320456,0.28186432,0.25125194,0.22762047,0.21409363,0.2091642,0.20832445,0.20772736,0.20591176,0.20270114,0.1972246,0.18811566,0.17532678,0.1615334,0.15084672,0.14628579,0.14786904,0.15325366,0.16020267,0.16844828,0.17914301,0.19193654,0.20341098,0.20840563,0.20376424,0.19084282,0.17530411,0.16432989,0.16299774,0.17174512,0.18665111,0.20209302,0.21375948,0.21927375,0.2175762,0.2084453,0.1938061,0.17825536,0.167511,0.16468827,0.16790177,0.17165934,0.17117007,0.16585559,0.1586762,0.15328957,0.15113018,0.15188377,0.15368724,0.15521151,0.15527229,0.15476854,0.15486889,0.15687643,0.1596759,0.16105925,0.15850212,0.15217614,0.14497478,0.14179027,0.14507051,0.15298407,0.15951556,0.15979989,0.15328304,0.1443188,0.13794957,0.13683029,0.14028674,0.14673543,0.15591832,0.16912816,0.18695866,0.20666568,0.22347702,0.23398004,0.2392406,0.24184842,0.24191545,0.23634626,0.22377102,0.2092964,0.20258951,0.21145664,0.2348607,0.26283944,0.28200066,0.28365687,0.26842025,0.24338841,0.2172973,0.19529958,0.18035679,0.17292446,0.17261113,0.17639667,0.18137853,0.18574941,0.1909765,0.19917141,0.21160455,0.22555679,0.23537312,0.23432618,0.21980838,0.1951973,0.16793557,0.14450355,0.12695748,0.11465194,0.10622564,0.10226936,0.10320917,0.109277956,0.1182355,0.12759733,0.13456279,0.13926567,0.14330888,0.15045422,0.16237144,0.17918527,0.19773638,0.21541631,0.22999735,0.24121344,0.249824,0.2575504,0.26669022,0.27733383,0.2883543,0.29649755,0.30058035,0.299538,0.29495975,0.28820124,0.28217113,0.27752182,0.27401915,0.27019334,0.26657796,0.26459786,0.26553,0.26930332,0.27519462,0.2821982,0.28774858,0.28820696,0.2808068,0.26742586,0.2538849,0.24726067,0.25089967,0.26391742,0.28159675,0.29855767,0.3096446,0.31174695,0.30444455,0.29033077,0.2738046,0.25861028,0.24820049,0.24578647,0.25452778,0.2727519,0.29267743,0.30355355,0.29938257,0.28222334,0.2588905,0.23632234,0.21901636,0.21029447,0.21179618,0.22208399,0.23541017,0.24415326,0.2441207,0.237141,0.22910269,0.22432573,0.22434855,0.22901864,0.2383637,0.2496866,0.25730145,0.25504062,0.24262469,0.2260481,0.2144023,0.21311092,0.22258711,0.23802395,0.2535025,0.2645106,0.27199677,0.2804344,0.29308936,0.30613217,0.31082475,0.30047372,0.27683297,0.24869327,0.2254386,0.21094626,0.20227616,0.19398129,0.1830285,0.17168081,0.1644168,0.16408306,0.16886926,0.17393775,0.17436172,0.16842598,0.15899259,0.15228777,0.15428717,0.16621648,0.1832187,0.19673908,0.2000668,0.19189525,0.17702454,0.16311836,0.15680613,0.16076122,0.17275101,0.18762869,0.19953157,0.20523448,0.20456815,0.20076305,0.19847798,0.20230128,0.21376891,0.22985852,0.2435817,0.2484756,0.24270453,0.23088463,0.22002564,0.21478786,0.21392757,0.21284933,0.20798875,0.19995701,0.19241184,0.18831433,0.18799853,0.1891693,0.18990673,0.1896749,0.1894751,0.18921667,0.1873439,0.18181056,0.17293178,0.16397303,0.15903014,0.1600489,0.1655849,0.17296465,0.1801805,0.18667562,0.19200714,0.19581479,0.19846757,0.20170689,0.20764779,0.21648866,0.22535819,0.22925842,0.22498673,0.21410473,0.20260178,0.19671644,0.19825031,0.2037725,0.2074809,0.20649292,0.20286013,0.20132832,0.2043895,0.20991845,0.21407074,0.21466972,0.21246912,0.2076559,0.19927925,0.18673204,0.17362581,0.16617228,0.16833727,0.1775357,0.1859572,0.18655397,0.17704116,0.1604435,0.1414906,0.12431536,0.110913046,0.10156212,0.095165186,0.09027163,0.08566687,0.08060592,0.07449848,0.06716106,0.059033904,0.05129068,0.044798415,0.039832097,0.03599301,0.03314245,0.031134693,0.029766588,0.028333997,0.026293926,0.023518877,0.02045029,0.017651176,0.015479229,0.014026597,0.013146959,0.012661816,0.01236244,0.01212186,0.011850498,0.011544213,0.011227018,0.010912416,0.010586509,0.010222136,0.009863812,0.009533239,0.009266853,0.008959179,0.0085252,0.007850056,0.0070171873,0.006205361,0.005694236,0.0056233634,0.0060105673,0.006753454,0.007849987,0.009477865,0.012178832,0.016859105,0.02440778,0.034911964,0.046846192,0.057700884,0.0654495,0.0701271,0.07332963,0.076532505,0.07983573,0.08227133,0.08333296,0.08335639,0.083297916,0.083541065,0.08397263,0.084195495,0.08421845,0.08450955,0.08571863,0.088663846,0.09364218,0.10047511,0.10787991,0.11484361,0.12125466,0.12825811,0.13653554,0.14504103,0.1520863,0.15690325,0.16087343,0.16499604,0.16920711,0.17173703,0.17210568,0.17073095,0.16947468,0.16906345,0.17027807,0.17305434,0.17866446,0.1874267,0.19898848,0.20979734,0.21645243,0.21665932,0.2123782,0.20723398,0.20576192,0.21027194,0.22062297,0.2331239,0.24290001,0.24628846,0.24340631,0.23669119,0.22953196,0.22424693,0.22325967,0.22714555,0.23471832,0.24175169,0.24545889,0.24521606,0.24335824,0.2406251,0.23695846,0.23138446,0.22512229,0.21915716,0.21480471,0.21226512,0.2126211,0.2163614,0.22320409,0.23173362,0.24054837,0.2488691,0.25551188,0.25827613,0.25519592,0.24649304,0.23645067,0.23044078,0.23197027,0.23844041,0.24270763,0.23716754,0.21956764,0.19471778,0.17076711,0.15371855,0.14420535,0.13903445,0.13469635,0.12935604,0.12291905,0.11596537,0.109790355,0.10653726,0.10836109,0.11605234,0.12777077,0.14042008,0.15127881,0.15968226,0.16594575,0.1702569,0.17236221,0.17273228,0.1729002,0.17372616,0.17406125,0.17140467,0.1646836,0.15602084,0.15005691,0.15138672,0.16115893,0.1755449,0.18744886,0.19124188,0.18620805,0.17546593,0.16224624,0.14793952,0.13340054,0.12046772,0.11093994,0.10493045,0.10078781,0.097054444,0.09349988,0.090488814,0.08774268,0.08437654,0.08004039,0.07600126,0.07470251,0.07850572,0.08814629,0.10282598,0.12052983,0.13861863,0.15348463,0.16186339,0.16284364,0.15931289,0.15622233,0.15717757,0.16297813,0.17173664,0.18086247,0.18702157,0.18798892,0.18313645,0.17469697,0.165572,0.15765113,0.1509666,0.1453474,0.14196827,0.1427154,0.14828454,0.15690693,0.16543011,0.17146654,0.17458187,0.17650796,0.1795909,0.18531047,0.19255124,0.19829737,0.19944495,0.19499654,0.18682878,0.17920671,0.17750965,0.18559743,0.20355369,0.22660343,0.24758613,0.26010945,0.26195726,0.2550811,0.2440809,0.23276663,0.22270228,0.21404892,0.20745014,0.20489442,0.20743866,0.21406288,0.22102995,0.22477092,0.22292952,0.21610856,0.20651083,0.1976022,0.1915031,0.18858753,0.18691896,0.18435992,0.17963593,0.1734144,0.16773055,0.16493396,0.16592932,0.16901757,0.17070591,0.16855466,0.16317306,0.15765117,0.15407555,0.15217374,0.1498738,0.14586167,0.13957459,0.13077831,0.11975717,0.108660035,0.10147258,0.1008001,0.105278164,0.10976515,0.10981562,0.104922034,0.09871478,0.095268466,0.09641408,0.101476856,0.109270535,0.1191896,0.13004978,0.13997917,0.14700353,0.15206322,0.15722062,0.16422011,0.17202203,0.17919564,0.185377,0.19032471,0.19347338,0.19261295,0.18783146,0.17936313,0.16927576,0.15807375,0.14811455,0.14166121,0.14136653,0.14650415,0.15417202,0.16042022,0.16318713,0.16179925,0.15631926,0.14686446,0.1343829,0.120951116,0.10881797,0.09955463,0.093424976,0.0902749,0.089680254,0.09106914,0.09326299,0.094564684,0.09374436,0.090353705,0.08536356,0.08007446,0.076485485,0.076033324,0.08022439,0.08941382,0.103967585,0.12322835,0.14580087,0.16842477,0.1875997,0.20150031,0.2118839,0.22244133,0.23583674,0.2509557,0.26571223,0.28029025,0.29899833,0.32451242,0.35383496,0.37773052,0.38753116,0.3794119,0.35630044,0.32438263,0.29019356,0.25787362,0.22942095,0.20622289,0.18966438,0.1809904,0.1799104,0.18495287,0.19325095,0.20223182,0.20984204,0.21654302,0.22312365,0.23079883,0.23816317,0.2431101,0.24279852,0.23679496,0.22743364,0.21854538,0.2121129,0.20595999,0.19658387,0.18286295,0.16813271,0.1573972,0.15448783,0.16033085,0.17279905,0.18703173,0.19753663,0.20130174,0.19948335,0.19592787,0.19415748,0.1955304,0.19895065,0.202587,0.20546259,0.20920952,0.2162235,0.22726439,0.23946011,0.24840339,0.2514226,0.24862713,0.24232428,0.2350968,0.23006566,0.22936888,0.23237492,0.23479776,0.23155235,0.22241767,0.2129912,0.2109439,0.21788917,0.22774267,0.23092294,0.2229497,0.20742999,0.19210899,0.1820764,0.17617618,0.1702335,0.1610567,0.14920564,0.13687158,0.12600292,0.11726779,0.11134834,0.10935644,0.11212218,0.118712865,0.1272715,0.13669239,0.1479481,0.16207154,0.17785378,0.19128615,0.19822638,0.19705369,0.19004737,0.18121266,0.17504823,0.17352444,0.17738992,0.18487446,0.19471718,0.20550764,0.21793658,0.23198111,0.24628651,0.2566003,0.25977466,0.25556332,0.24776854,0.23933144,0.23122911,0.22142309,0.20982443,0.19802403,0.1903006,0.18868417,0.19438124,0.20544489,0.22079295,0.23562293,0.24561395,0.24413788,0.23119135,0.20924824,0.18640487,0.16638987,0.15133126,0.1382693,0.1262586,0.114922255,0.106310725,0.10149608,0.100626044,0.10265667,0.106306605,0.110796094,0.11622435,0.12353629,0.13382967,0.14707828,0.1618685,0.17618497,0.18895157,0.20034747,0.21012604,0.21707141,0.2191536,0.21685024,0.21249516,0.20957792,0.20852357,0.2080148,0.20666154,0.20597439,0.20784271,0.21098715,0.21083404,0.20393555,0.1934448,0.18666033,0.18957233,0.20075764,0.21417226,0.22387199,0.22829962,0.22927672,0.2292922,0.2302776,0.2329207,0.23660664,0.23889615,0.23670954,0.22910391,0.21848719,0.20950915,0.20562346,0.20709698,0.21212547,0.21830462,0.22456217,0.2298755,0.23376475,0.2354334,0.23458654,0.23055117,0.22272451,0.2114489,0.19964647,0.192046,0.1932656,0.2044277,0.22299619,0.24258256,0.25585946,0.25666,0.24392693,0.2224943,0.2008809,0.18599541,0.17955053,0.17793481,0.17581415,0.16925605,0.15831201,0.14548737,0.13425392,0.12624636,0.122252285,0.12278726,0.12851985,0.13846375,0.14968218,0.15977593,0.16945827,0.1824413,0.20141733,0.22463252,0.24579315,0.25732583,0.2546769,0.23777698,0.21100855,0.18096423,0.15512186,0.13911809,0.1345224,0.13772385,0.14190018,0.14108674,0.1329436,0.11952355,0.10535857,0.0952622,0.09204606,0.09561955,0.10343567,0.11220632,0.11946992,0.12442082,0.12737113,0.12917803,0.13041683,0.13154419,0.13274147,0.13470475,0.13826267,0.14436717,0.15214644,0.15909971,0.1614089,0.15713711,0.14699088,0.13428734,0.12221262,0.11204409,0.10279685,0.09250965,0.08056293,0.06804142,0.057038587,0.04857974,0.042502698,0.0383663,0.03615899,0.035829853,0.03620058,0.035716128,0.033385523,0.029812291,0.026163919,0.023404056,0.021590045,0.020401096,0.01955012,0.018957926,0.018586306,0.01818847,0.017579937,0.016828656,0.01669985,0.018608915,0.024725178,0.03682376,0.055475842,0.07852193,0.102421224,0.12300363,0.13822196,0.14820229,0.15587585,0.1650418,0.17794816,0.19404685,0.21045731,0.22570616,0.24018325,0.25590077,0.2740698,0.29408473,0.3132266,0.32656208,0.33117136,0.32836092,0.32439974,0.32393172,0.32726333,0.33118537,0.33391377,0.3351351,0.33427152,0.3296268,0.32193908,0.31464982,0.31243673,0.31754315,0.3325783,0.36035874,0.40276647,0.45324793,0.49947152,0.5287073,0.5394303,0.536989,0.52843636,0.5138855,0.49386445,0.4720106,0.45410046,0.43968654,0.42207742,0.39592543,0.36101294,0.32231852,0.2846511,0.25440198,0.23625736,0.23219748,0.2371323,0.24368452,0.24613649,0.24536909,0.24530204,0.24972402,0.25741807,0.26423582,0.2656543,0.26124793,0.2538918,0.24725378,0.24273877,0.23982035,0.23775814,0.23691536,0.23791091,0.24155383,0.24766694,0.25636292,0.26607776,0.27522525,0.28006813,0.27785864,0.2668688,0.25082847,0.23610629,0.22872306,0.22808619,0.22951293,0.228517,0.22584313,0.22425115,0.22516437,0.22699316,0.22852665,0.2291945,0.22854982,0.22410357,0.21502578,0.20178495,0.18727313,0.1723612,0.15893406,0.14891498,0.14606042,0.15163743,0.16493188,0.18284585,0.2020181,0.21866663,0.22898485,0.2309161,0.22512369,0.21602605,0.20840774,0.20562054,0.20698403,0.20965637,0.21018368,0.20749955,0.20312077,0.20054138,0.20190443,0.20718342,0.21470435,0.22509782,0.24179077,0.26776838,0.298975,0.3240558,0.3318403,0.32275733,0.30873665,0.3034363,0.3097136,0.31957653,0.3231327,0.31667563,0.3037041,0.2888076,0.2739143,0.25781235,0.23971008,0.221112,0.20469934,0.19234705,0.18458088,0.18115205,0.18069391,0.18052502,0.17772464,0.17214204,0.16638939,0.16468011,0.1690702,0.17900014,0.19172724,0.20451784,0.21590014,0.22516312,0.2319115,0.2352193,0.23485935,0.23190965,0.22918825,0.22929327,0.23304488,0.23898882,0.24589062,0.25384262,0.26364413,0.27379856,0.28059688,0.28090426,0.27597424,0.27166164,0.27446267,0.28746235,0.3077319,0.32810268,0.33898476,0.33365953,0.3121305,0.28376153,0.26228285,0.2576709,0.26985,0.28964958,0.305354,0.3093184,0.30115724,0.28745022,0.2783399,0.28275406,0.302084,0.32875553,0.35023382,0.3580505,0.35223785,0.33946446,0.32552728,0.3115125,0.29410908,0.27144316,0.24499416,0.21991408,0.20020978,0.18800198,0.18194856,0.17963713,0.17748187,0.1735273,0.16726045,0.16021468,0.15330902,0.14681907,0.13979219,0.13206913,0.12431163,0.118868165,0.11803469,0.12295455,0.13191654,0.14135514,0.14776188,0.14983733,0.14889377,0.14773493,0.14935444,0.15589008,0.16798697,0.1839902,0.19986968,0.21103115,0.21486671,0.21244669,0.20649315,0.19928677,0.19134308,0.1836835,0.17853427,0.1788181,0.18542106,0.19603123,0.20550509,0.2085806,0.20367326,0.19508612,0.19046582,0.1938565,0.20173381,0.20598322,0.20256545,0.19483697,0.19011371,0.19254594,0.20142658,0.21405615,0.2286452,0.24451868,0.26048872,0.27494875,0.28670025,0.29531786,0.30055675,0.30110583,0.2948914,0.2800243,0.25639522,0.2267303,0.19617772,0.17059642,0.15352751,0.14485012,0.14213978,0.14320421,0.14727975,0.15394948,0.1625868,0.17230415,0.18170501,0.18766369,0.18604682,0.17475758,0.15712704,0.1404413,0.13132113,0.13048066,0.13310461,0.13251017,0.12540834,0.1128787,0.098693274,0.08574024,0.07532862,0.067494445,0.06252752,0.06062861,0.06195131,0.06631723,0.07373566,0.08444407,0.09883777,0.11721128,0.1392036,0.1630056,0.1850708,0.20177436,0.21238331,0.22018677,0.22935538,0.24031492,0.24945597,0.25404236,0.25598964,0.25923356,0.26422772,0.26736656,0.2663915,0.2643157,0.2674422,0.2789177,0.29593667,0.31099918,0.31689537,0.31048802,0.29363117,0.2721997,0.25263003,0.24148877,0.24270986,0.2574003,0.28000215,0.30077553,0.30976716,0.30539536,0.29512694,0.289624,0.29221594,0.29675308,0.29427993,0.28293073,0.26915732,0.2616373,0.2643632,0.27549508,0.2912815,0.30645964,0.3163481,0.31481412,0.3013001,0.27977622,0.26034662,0.24973135,0.250193,0.25748864,0.26670948,0.2722219,0.27006385,0.25709802,0.23532814,0.21051578,0.19130795,0.18258886,0.18474215,0.1931762,0.20307027,0.21061249,0.21445797,0.21401082,0.20985983,0.20300603,0.19510318,0.18697836,0.17876935,0.17057896,0.16364431,0.16051368,0.16322406,0.17190914,0.18351321,0.19373621,0.199183,0.19918579,0.19511111,0.1883925,0.18051696,0.17269535,0.16659053,0.16244948,0.15989332,0.1583607,0.15781899,0.1569715,0.1527224,0.14257891,0.12797305,0.11442686,0.1074583,0.10844638,0.114397295,0.12102268,0.1268092,0.13328348,0.14372545,0.15878111,0.17573284,0.1890905,0.19499636,0.19277392,0.1847642,0.17442723,0.16578716,0.16238801,0.1654399,0.17240167,0.1796037,0.18592708,0.19543038,0.2138819,0.24439113,0.28226176,0.31731987,0.34003702,0.3501818,0.35720316,0.37284064,0.4021347,0.43995607,0.47661027,0.50296944,0.5159971,0.51584196,0.50522274,0.4859575,0.46299115,0.44377485,0.435411,0.4373922,0.44141993,0.43930677,0.42813882,0.4089303,0.38003704,0.34021822,0.2930292,0.24839546,0.21451378,0.19375302,0.18365334,0.18193488,0.18693085,0.19633327,0.2068594,0.215698,0.22123319,0.22149687,0.21366888,0.1963983,0.17281945,0.15149945,0.14107962,0.14593488,0.16226946,0.18130048,0.19304107,0.19283307,0.18424231,0.17707998,0.17963499,0.19140197,0.20354272,0.20717609,0.20145833,0.19425665,0.19447643,0.20449613,0.21835844,0.22758172,0.22823142,0.2228142,0.2161895,0.2102953,0.20430048,0.19753343,0.19147778,0.18749166,0.1856092,0.18502617,0.18682437,0.19398041,0.21025331,0.23629113,0.26710016,0.2920488,0.30074847,0.2896951,0.26451424,0.23507161,0.20895551,0.18833481,0.17176302,0.1572573,0.14396684,0.13199472,0.12185859,0.11513563,0.114216685,0.12073303,0.13268387,0.14533831,0.15523857,0.16385198,0.174861,0.18801232,0.19641419,0.19181329,0.17301045,0.1487584,0.1318325,0.12950616,0.13890652,0.15101129,0.15836973,0.15975608,0.15815896,0.15655814,0.15613814,0.15800284,0.16435167,0.1765932,0.19281328,0.20835479,0.21940637,0.225232,0.2265507,0.22293557,0.2132085,0.19851772,0.18413316,0.17679083,0.18046294,0.19339795,0.20983626,0.22347833,0.23102349,0.23231612,0.22813629,0.21791328,0.20027308,0.17609185,0.15010995,0.1287197,0.11556486,0.11026597,0.11077276,0.11675292,0.1288894,0.14713442,0.16917048,0.1918735,0.21103106,0.2215196,0.21804434,0.19907552,0.1686241,0.13461211,0.10413152,0.08103888,0.06620359,0.059092566,0.057999197,0.059812486,0.060883354,0.058729406,0.053655583,0.048139196,0.045305695]