[0.2554834,0.25541878,0.25407013,0.24959509,0.24054796,0.22735836,0.21219122,0.19888987,0.19149809,0.19235747,0.20016164,0.20983495,0.21607976,0.21722846,0.2166561,0.2186334,0.22409298,0.22976619,0.23161928,0.22796606,0.21955085,0.20786303,0.19366664,0.17719994,0.15900286,0.1405748,0.124197625,0.11215442,0.10651738,0.10865935,0.11878872,0.1344744,0.15137468,0.16537605,0.1753081,0.18263851,0.18826474,0.19103712,0.1884219,0.1806171,0.17018874,0.1604739,0.15196781,0.14324103,0.13279884,0.12057758,0.10774597,0.096098214,0.08885908,0.09021452,0.103486456,0.12727928,0.15403654,0.17279899,0.1758417,0.16378291,0.14457694,0.12733652,0.11609767,0.10909569,0.10222984,0.09318075,0.08226464,0.07127517,0.06187193,0.055127025,0.05102736,0.048864618,0.047915455,0.049338028,0.055584382,0.068175875,0.084584646,0.099524654,0.1084551,0.11088755,0.1088576,0.10539541,0.10373485,0.10966435,0.12910895,0.16472824,0.21114238,0.25764215,0.2923851,0.3074694,0.30009222,0.27303532,0.23456614,0.19596153,0.16661869,0.14945997,0.14057046,0.13375443,0.12445414,0.11200353,0.09759137,0.083229296,0.07042008,0.06118616,0.057724018,0.061683524,0.07156009,0.08232231,0.08738476,0.083061345,0.0706095,0.055030208,0.041961577,0.036193985,0.04213682,0.0638024,0.10267872,0.15586208,0.21650611,0.27688587,0.32930407,0.365496,0.37727574,0.36093438,0.32189938,0.2728304,0.22717093,0.19183874,0.16659874,0.14731932,0.13056545,0.1152184,0.10172889,0.09087402,0.083040334,0.07832394,0.07624047,0.07526403,0.07297716,0.067253605,0.057986036,0.047127936,0.037440248,0.030591106,0.027176684,0.027337177,0.031173706,0.037674893,0.044164613,0.04732986,0.045394603,0.039198864,0.03127676,0.023910634,0.018164609,0.013974377,0.010990512,0.008833723,0.007294495,0.006147919,0.0052583613,0.004487837,0.0037898999,0.0033573378,0.00406385,0.007956093,0.01803304,0.036851916,0.06404478,0.0947043,0.12054684,0.13400437,0.13255961,0.11968548,0.102205805,0.0866206,0.07737144,0.07664643,0.08417749,0.0971329,0.11151896,0.12498317,0.13826859,0.15334536,0.16982035,0.18355465,0.18919884,0.18419659,0.17056943,0.1526604,0.13442665,0.11710621,0.1007092,0.084377915,0.06897368,0.056680217,0.052006017,0.058548447,0.076852866,0.101573266,0.12456328,0.13892145,0.14375746,0.14209765,0.13779406,0.13205908,0.12586659,0.12088116,0.1192775,0.12013454,0.119954236,0.115088254,0.10526344,0.09283412,0.080741085,0.07093819,0.06500903,0.06499053,0.07229257,0.08576515,0.100643665,0.11096848,0.11359916,0.11047301,0.106839,0.10672682,0.11036559,0.11455142,0.115821004,0.11255437,0.1055414,0.09663894,0.087070175,0.07675907,0.0649252,0.051983673,0.040478442,0.034573168,0.03758852,0.049553048,0.06674257,0.08378449,0.09751884,0.10823119,0.11846229,0.12901787,0.1385939,0.1459326,0.15445884,0.17133223,0.20225506,0.24384908,0.28488967,0.31185058,0.31921503,0.3082864,0.28647944,0.25912553,0.23183487,0.20718014,0.18768509,0.17264074,0.16060041,0.14936857,0.13773806,0.12507536,0.11126692,0.097005405,0.08362583,0.07272098,0.064903654,0.05937587,0.054212883,0.04774636,0.03982651,0.03192083,0.026797349,0.028082816,0.04073634,0.068758525,0.112200595,0.16341323,0.21061409,0.2432766,0.25939366,0.26347294,0.26268616,0.260035,0.25500074,0.2453024,0.2312491,0.21517925,0.20000696,0.18642472,0.1733495,0.15931137,0.14409448,0.12867184,0.11451123,0.102944665,0.094599344,0.089031704,0.08482622,0.08060823,0.075955085,0.07150952,0.06804889,0.06614085,0.06604882,0.06842392,0.07349584,0.08078246,0.08846566,0.095057406,0.10010454,0.10477669,0.110025406,0.11589234,0.12115997,0.12486843,0.12682556,0.12777185,0.12862062,0.1302985,0.1335768,0.13915426,0.14762813,0.16122502,0.1857369,0.23170955,0.3090881,0.41837335,0.5430842,0.6538229,0.7232279,0.74023104,0.7141237,0.66324157,0.6058795,0.5551149,0.5244177,0.52489656,0.56021684,0.61780524,0.67312527,0.700315,0.6859552,0.6336415,0.56114477,0.4933304,0.452732,0.4517032,0.48265302,0.5209648,0.5358606,0.5114959,0.4549482,0.38773867,0.33046088,0.29355264,0.28639725,0.31577966,0.38227904,0.4643158,0.5290733,0.5482837,0.5200916,0.4640539,0.40763795,0.36725864,0.34605086,0.33821622,0.3404231,0.35180727,0.37102142,0.38880113,0.3929105,0.37739268,0.35065213,0.32964286,0.32714686,0.34286717,0.3678237,0.3932154,0.41499865,0.43026152,0.4363121,0.43476102,0.43544015,0.4488894,0.47583786,0.5031851,0.51753074,0.51740503,0.51448894,0.5176131,0.5225269,0.5183716,0.5022952,0.48463097,0.47533455,0.47487727,0.47431576,0.46614614,0.44862017,0.4243888,0.39988554,0.38052192,0.36918077,0.36077353,0.35104433,0.34082162,0.33887804,0.34923747,0.36892974,0.39181146,0.420493,0.4593583,0.5038669,0.53453755,0.5349929,0.5054814,0.4638286,0.42603526,0.39873648,0.3805977,0.3722632,0.37343374,0.37965545,0.38180637,0.37470138,0.36044815,0.34573552,0.3341032,0.32460976,0.3141161,0.30145597,0.2868619,0.27077696,0.2532616,0.23591894,0.2222249,0.21680683,0.2230419,0.24279046,0.274138,0.31103003,0.3420161,0.3561281,0.347343,0.32023045,0.2850334,0.25349027,0.23120219,0.21935637,0.21463205,0.21288596,0.20869322,0.1986174,0.18298621,0.16609909,0.15256463,0.14369844,0.13831486,0.13496725,0.1334585,0.13255052,0.12973543,0.12258461,0.11188539,0.10082049,0.092734225,0.08912352,0.09066556,0.09865496,0.11413425,0.13550071,0.15653346,0.16888928,0.16654928,0.15045953,0.12744974,0.10640049,0.093200654,0.09112943,0.1013068,0.12372843,0.15334229,0.18116693,0.19662444,0.19500633,0.17934035,0.16026025,0.15271647,0.17104746,0.22417836,0.3068118,0.4011004,0.48208392,0.53459543,0.5576649,0.560497,0.5506373,0.52844065,0.49457523,0.45248678,0.4114728,0.37697148,0.35187015,0.3373656,0.33853757,0.36052653,0.39986017,0.44001356,0.45994532,0.4520557,0.43177032,0.4262257,0.44961122,0.4880804,0.5088202,0.4866689,0.42315972,0.34580573,0.2897911,0.27984047,0.31889603,0.38861677,0.4568616,0.4955649,0.49217376,0.45644426,0.40737054,0.36557636,0.3410331,0.33722675,0.3481063,0.36533034,0.3783712,0.38439274,0.38798293,0.40011576,0.4242179,0.4526252,0.46837366,0.46378756,0.44452313,0.42582402,0.4128063,0.398976,0.3744494,0.3400011,0.30585515,0.2814955,0.27072945,0.2737423,0.2920413,0.32384428,0.36050668,0.38727888,0.39433083,0.38313934,0.3662217,0.35697195,0.3607227,0.37343296,0.3868545,0.39921007,0.4123114,0.4286302,0.4407426,0.44038984,0.422961,0.39596245,0.37092993,0.35862693,0.3630544,0.3824172,0.4108127,0.44146764,0.4678212,0.481882,0.4750756,0.4432397,0.39491817,0.34639955,0.31254444,0.2948437,0.28847742,0.28925776,0.30011666,0.32213393,0.34885812,0.36544427,0.36071327,0.33471152,0.29969367,0.26809967,0.24713115,0.23642272,0.23404823,0.2345696,0.23094632,0.21642978,0.19209282,0.16706859,0.15374856,0.16119497,0.19130634,0.23986809,0.29696858,0.35221577,0.39581403,0.42296448,0.4303721,0.4192612,0.39208528,0.3557794,0.31647745,0.2798985,0.24714686,0.21718447,0.18764137,0.1585306,0.13229512,0.112450995,0.10097277,0.09765471,0.100788295,0.10810838,0.11676588,0.12405751,0.12806517,0.12902254,0.12854353,0.12923528,0.13353764,0.14400353,0.16201355,0.18557902,0.20743132,0.21684064,0.20611997,0.17617269,0.13699523,0.10067535,0.0745044,0.058245704,0.048044983,0.04065056,0.0354479,0.032972667,0.033843856,0.03905187,0.051235136,0.076061904,0.12070823,0.19197373,0.2898954,0.40483913,0.516558,0.6031111,0.65128535,0.66207045,0.64811873,0.6233002,0.5992141,0.58117217,0.5712812,0.56765884,0.5670226,0.56855613,0.57174784,0.5768624,0.57766694,0.56921494,0.5494988,0.5265546,0.5103001,0.5076415,0.5139863,0.51769453,0.503884,0.4698324,0.424948,0.39103663,0.38346055,0.40739623,0.45308295,0.50714904,0.5558012,0.5894702,0.6004414,0.5857284,0.5504431,0.5083659,0.47382393,0.45060185,0.43195614,0.41029772,0.38964882,0.38198158,0.3947393,0.4195565,0.43721375,0.43457747,0.4139762,0.39128956,0.37977812,0.38546598,0.40635085,0.4397498,0.47827804,0.5100863,0.52280265,0.5155852,0.5015792,0.49673116,0.5059763,0.5193622,0.5257146,0.52469707,0.5275185,0.54160935,0.5599796,0.5671287,0.5559142,0.5347468,0.5181889,0.5122623,0.5123539,0.50806534,0.49262205,0.46327424,0.42522022,0.38623035,0.35443377,0.3304931,0.31357363,0.3049216,0.31135288,0.33510908,0.37100813,0.40946475,0.44684032,0.482784,0.51421016,0.5304708,0.5252816,0.5018692,0.47382426,0.45017695,0.4342538,0.4235781,0.41772214,0.41473427,0.41073623,0.40069318,0.38414776,0.3657125,0.3516831,0.34528503,0.34662536,0.3534541,0.36288407,0.37033677,0.3705552,0.3591447,0.3361896,0.3073204,0.2815905,0.26665083,0.26544988,0.27537394,0.28993395,0.3008064,0.30125538,0.28856763,0.26541048,0.23757474,0.21181555,0.19282828,0.18334238,0.18237509,0.18703222,0.19247912,0.19597466,0.19654126,0.1957397,0.19488084,0.19595599,0.20190263,0.21694578,0.24273552,0.27374664,0.2977263,0.3026258,0.28607258,0.25629082,0.22558476,0.20200026,0.18839979,0.18581702,0.19495378,0.21418454,0.23784673,0.25903812,0.2727854,0.27763316,0.27397302,0.26374862,0.2509882,0.24246514,0.24500068,0.2605903,0.28276116,0.2991263,0.298658,0.2789791,0.24722691,0.21638602,0.2011435,0.21434765,0.26341692,0.34333828,0.4361495,0.5177422,0.57148355,0.59589434,0.5980451,0.58651394,0.5623951,0.528384,0.4873203,0.44731534,0.41225135,0.38422564,0.3639065,0.3557131,0.3653761,0.39206398,0.42347887,0.44169083,0.43905148,0.42832303,0.43376327,0.46838686,0.5182746,0.5505704,0.53944236,0.4860517,0.41713008,0.3661892,0.35514116,0.3858604,0.44184747,0.49506703,0.51985455,0.5036482,0.45478448,0.39332736,0.34294602,0.31741923,0.32080773,0.3453722,0.37883875,0.40717816,0.42350698,0.43028036,0.4387742,0.45678797,0.48177752,0.50020343,0.50333613,0.49290988,0.47931316,0.46465066,0.44217286,0.40381274,0.3540919,0.30681548,0.2749546,0.2632586,0.27166358,0.30042493,0.3464506,0.39930937,0.44020972,0.45566297,0.44418573,0.42035747,0.4014372,0.39830002,0.4087238,0.42345616,0.43644905,0.44727698,0.45862266,0.46660748,0.46442196,0.44726387,0.4199977,0.393669,0.37907037,0.3801761,0.39246103,0.40597066,0.41231903,0.40829656,0.39622316,0.3786553,0.35859635,0.34065354,0.3305199,0.3316114,0.3404177,0.35181856,0.3618203,0.37244466,0.38514733,0.3976265,0.40115294,0.3889072,0.36168623,0.32966074,0.30302644,0.2877467,0.28292477,0.28575447,0.28960708,0.2870526,0.27188095,0.24562997,0.21659821,0.1954303,0.18878873,0.19655764,0.21239765,0.22707371,0.2328689,0.22726957,0.21295689,0.19615714,0.18367289,0.18058729,0.18839453,0.20406348,0.22204019,0.23592974,0.24132586,0.23648977,0.22324453,0.20585828,0.18855958,0.17443778,0.16484766,0.16147248,0.1649357,0.17410512,0.18443196,0.18999273,0.18630527,0.17290616,0.1543263,0.1380237,0.13185872,0.14023785,0.16286884,0.19342576,0.22175138,0.23711383,0.23468691,0.21786313,0.19619517,0.17820136,0.16761531,0.16316314,0.16220294,0.16180976,0.16017659,0.15594493,0.14978462,0.14310968,0.13896978,0.14145683,0.15836777,0.19836439,0.26611483,0.35240507,0.43488637,0.48757514,0.49902806,0.47869292,0.4476981,0.42218342,0.40485063,0.39316356,0.38765144,0.39400434,0.41439018,0.44141427,0.4595901,0.45379952,0.41981515,0.36882612,0.32280263,0.30462316,0.32534266,0.37753114,0.43607935,0.4718747,0.4704828,0.4379095,0.3929378,0.35113314,0.32343218,0.32078737,0.35431167,0.42482054,0.51094365,0.57822114,0.5973298,0.56533164,0.5017504,0.4352682,0.38413215,0.35468826,0.3449706,0.3545119,0.3817509,0.42080244,0.45705417,0.47414592,0.4642038,0.43411937,0.40159628,0.3825914,0.38359246,0.4004755,0.42593166,0.45140144,0.46880624,0.47124827,0.4605379,0.44902587,0.45133126,0.47108898,0.49657908,0.5127612,0.5164933,0.5176327,0.52642006,0.53844875,0.5415469,0.5288708,0.5094126,0.49615908,0.49449554,0.4985499,0.4988288,0.4890859,0.46719468,0.43699074,0.4050988,0.3785037,0.35736594,0.33984962,0.3259472,0.3223908,0.33313176,0.3570073,0.38812956,0.42502746,0.4656705,0.50337917,0.5238356,0.5201277,0.4974092,0.4716606,0.45258954,0.44206083,0.4355887,0.43189108,0.42939714,0.42537323,0.41420913,0.39479652,0.37087107,0.35015354,0.33655477,0.33032128,0.32781303,0.32567653,0.3202366,0.3087084,0.29016623,0.26721415,0.24571021,0.23170441,0.22859614,0.23517019,0.24629915,0.25511932,0.25642452,0.24851358,0.23331188,0.21427701,0.19509578,0.17900021,0.16886896,0.16763145,0.17682944,0.195967,0.22040135,0.24399197,0.26068625,0.2686696,0.26908007,0.26663086,0.26659763,0.2741511,0.28949332,0.3064303,0.31414732,0.30520847,0.2814751,0.2524058,0.22704987,0.20822553,0.19444053,0.18568675,0.18457834,0.19194792,0.2025822,0.20789127,0.20340401,0.1922704,0.1828477,0.18139891,0.19080509,0.21052645,0.23918283,0.27235642,0.30311453,0.32375014,0.32944468,0.31944105,0.29727077,0.2701567,0.25079605,0.25315174,0.2883855,0.35307467,0.43075743,0.49702445,0.53739494,0.5517373,0.54927915,0.5376828,0.5176316,0.49092293,0.45982257,0.4299859,0.4021332,0.37763134,0.3589594,0.35347998,0.36727414,0.39807525,0.431412,0.4482671,0.44103935,0.42293608,0.41903636,0.44267058,0.4818975,0.5060461,0.4919769,0.43960264,0.3732846,0.323909,0.31498802,0.35085535,0.41663542,0.48216978,0.5183155,0.5094506,0.4630828,0.40010056,0.3457329,0.31571713,0.31556228,0.33795786,0.36894938,0.39279714,0.4030377,0.40497383,0.41221133,0.43126288,0.4562696,0.47140864,0.46949744,0.45645657,0.4467257,0.44373408,0.43752494,0.41444921,0.37365332,0.3273915,0.29016614,0.26977134,0.26869607,0.2886369,0.32717076,0.3742703,0.41225564,0.4295009,0.42478314,0.41062728,0.3997611,0.40078953,0.4114302,0.42506287,0.43665087,0.44662043,0.4575324,0.46638724,0.46578893,0.4498713,0.42176414,0.39254597,0.37400496,0.37247384,0.38475847,0.40143374,0.41197827,0.41098168,0.39853728,0.37728235,0.35053346,0.3240862,0.3043302,0.2960589,0.2967082,0.3027672,0.31172225,0.32719168,0.34992436,0.37492737,0.38949585,0.38469526,0.36140907,0.33125225,0.3053359,0.28944373,0.28250006,0.2818419,0.28209853,0.2766702,0.26014668,0.23411138,0.20722336,0.18981011,0.18700968,0.196554,0.21098524,0.22293203,0.22773135,0.2253028,0.2178636,0.20965606,0.2052056,0.20882715,0.22193563,0.24155903,0.261377,0.2746872,0.27816305,0.2724739,0.2617408,0.24984866,0.23896231,0.22936021,0.22276656,0.22276597,0.23272093,0.25193706,0.27562094,0.29630443,0.30672565,0.30145442,0.28133133,0.25472113,0.23502518,0.2324553,0.24816279,0.27437738,0.2987258,0.31064257,0.30441514,0.28181237,0.24999414,0.21966536,0.20160425,0.20527668,0.23552282,0.2880927,0.3480886,0.39538512,0.417099,0.41404894,0.398674,0.38473508,0.3829596,0.39931557,0.43499517,0.48189542,0.52538985,0.5518129,0.5604312,0.5599572,0.56142855,0.56477517,0.56594115,0.56038445,0.55442935,0.5552043,0.5691975,0.5921008,0.6148834,0.6246509,0.6151323,0.587264,0.55088896,0.51687884,0.4957541,0.48914996,0.4917057,0.4887706,0.4710895,0.4358289,0.3921647,0.34997332,0.32165518,0.3168843,0.34250882,0.39489856,0.45713153,0.5059096,0.5232319,0.50840807,0.47381508,0.43544745,0.40225267,0.37714887,0.3611836,0.35749745,0.36783937,0.3885245,0.40706372,0.40945676,0.38956523,0.35716984,0.33037862,0.32383075,0.33855036,0.3669226,0.39964303,0.42969218,0.44963595,0.45336986,0.44328013,0.43327007,0.43921348,0.4644096,0.4953709,0.5150836,0.51942295,0.51868886,0.52380556,0.5312145,0.52941173,0.5130439,0.49228203,0.47997713,0.47918692,0.48242477,0.48040316,0.4700135,0.45052862,0.42598605,0.40035114,0.3797641,0.36346495,0.35018745,0.3392085,0.33766237,0.35045755,0.37753037,0.41144323,0.44658422,0.47894228,0.504303,0.5146887,0.50590867,0.48190758,0.45411202,0.42974856,0.40930557,0.38939473,0.37194827,0.3610257,0.35833845,0.35801157,0.35415724,0.34390453,0.33095813,0.31803814,0.30761743,0.29861167,0.29053098,0.28084162,0.26754785,0.24972315,0.2294421,0.21163099,0.20130217,0.20427777,0.22412615,0.26260018,0.31366757,0.36682844,0.40798208,0.4287387,0.42554185,0.40157267,0.36142552,0.31257316,0.2634143,0.22268791,0.19508044,0.17941362,0.17025901,0.16244186,0.15377992,0.14480563,0.13627551,0.12896927,0.12356026,0.12107732,0.12052826,0.1188798,0.112663984,0.101667434,0.08921903,0.079410106,0.074051596,0.07261756,0.07446837,0.07926517,0.08558472,0.08991247,0.088692844,0.08133045,0.07056501,0.060334593,0.053083632,0.050190266,0.05356872,0.06646949,0.09117228,0.12506706,0.15959139,0.18331356,0.18887174,0.17765331,0.16006845,0.15203722,0.16911472,0.2208248,0.30275849,0.39647064,0.47674742,0.5275249,0.54903084,0.55091834,0.5417265,0.52092266,0.48874405,0.44739914,0.40700063,0.37516776,0.35771537,0.35502025,0.36706725,0.3929522,0.42798457,0.46060768,0.47584188,0.46818534,0.4488175,0.44034863,0.45525137,0.48445395,0.4998555,0.47939387,0.42118093,0.34880194,0.29373387,0.28222725,0.32014534,0.392509,0.46685684,0.51179636,0.5105983,0.47098592,0.4139885,0.36375594,0.334479,0.33102223,0.3472463,0.37102613,0.3881168,0.3926829,0.39050296,0.396027,0.41618285,0.44438967,0.46183428,0.45836914,0.4386568,0.41980818,0.40987372,0.4027615,0.38547158,0.3545687,0.319044,0.29080772,0.2766535,0.278185,0.2962456,0.32814512,0.36514616,0.39251152,0.40129125,0.3915944,0.37530795,0.36401758,0.36534092,0.3765837,0.3907769,0.40317884,0.41515324,0.43047783,0.44603774,0.45340848,0.44605815,0.42768183,0.40927717,0.4014591,0.40965,0.4340357,0.46891978,0.50571597,0.5318389,0.54022855,0.525281,0.49166384,0.44645277,0.4030055,0.36869273,0.3449156,0.32783854,0.3161256,0.3139061,0.3235695,0.34029138,0.35074493,0.344637,0.32215384,0.29433265,0.27153006,0.25814068,0.25170648,0.24973156,0.24813454,0.24204896,0.22584361,0.19991654,0.17232352,0.15604603,0.16167498,0.19262254,0.24308495,0.3017683,0.35525808,0.39414835,0.41207826,0.40736973,0.38111773,0.33977768,0.29308414,0.25051025,0.21745759,0.19372977,0.17645161,0.16213888,0.14876421,0.13616408,0.12448887,0.11455316,0.105481625,0.09732026,0.08917609,0.081907295,0.0754849,0.070603885,0.06643685,0.06275239,0.05927709,0.05750871,0.0586918,0.06333118,0.06921547,0.07294055,0.07141932,0.06446709,0.05442467,0.04475158,0.0373997,0.032668654,0.02931563,0.026431715,0.023161387,0.019687155,0.016204735,0.013512923,0.011996399,0.012210296,0.015599904,0.026698602,0.054700512,0.11049181,0.19930466,0.31144342,0.42330027,0.5092512,0.55850035,0.5798328,0.58961385,0.598326,0.60404366,0.60463053,0.6004417,0.5988552,0.6037655,0.61790144,0.63745093,0.65393716,0.65491635,0.63374245,0.5964138,0.5603111,0.54124093,0.5431115,0.5531213,0.55278164,0.52971596,0.48629233,0.43485436,0.3891069,0.35935327,0.3533002,0.37493548,0.4219961,0.47960162,0.5271206,0.5445528,0.52800614,0.4860078,0.43630984,0.39131165,0.358616,0.3399963,0.3378345,0.35330924,0.3831099,0.4154462,0.43304846,0.4260231,0.40006673,0.37444988,0.3658067,0.37836376,0.4038447,0.43270683,0.45673588,0.47072387,0.46956012,0.45691064,0.44451857,0.44737804,0.4685793,0.49794197,0.52062136,0.5325343,0.5397801,0.5491049,0.5552961,0.54919326,0.5290726,0.5073205,0.49692154,0.4993589,0.5052728,0.5034655,0.48990953,0.46459913,0.43344763,0.402711,0.37901747,0.3606468,0.34441128,0.32860482,0.32043752,0.3244075,0.3401785,0.36154464,0.38851783,0.42307362,0.4624541,0.49234477,0.5003934,0.48655567,0.46491155,0.44666997,0.4348894,0.42541245,0.41897354,0.41636658,0.41669074,0.41175953,0.39811686,0.37718275,0.35818675,0.3457211,0.3420467,0.34334564,0.3469654,0.347231,0.33994043,0.32194614,0.2962693,0.2692843,0.24786901,0.23565209,0.23286784,0.23710458,0.24358179,0.2467562,0.24238403,0.23006748,0.21271439,0.19544071,0.18295248,0.17874952,0.18328063,0.19406275,0.2052629,0.21066262,0.20641585,0.19409351,0.17886494,0.1664873,0.16043194,0.16319668,0.17628813,0.19927275,0.22618501,0.24814014,0.25688708,0.25056478,0.23201007,0.20736833,0.18233013,0.16252899,0.15164858,0.15167004,0.16132818,0.1778663,0.196221,0.21073234,0.21535963,0.20821188,0.1927616,0.17773025,0.17207527,0.18143846,0.20554495,0.23759997,0.26601377,0.2789149,0.27110773,0.2471454,0.21964355,0.20459945,0.2161272,0.26297227,0.3404607,0.43124166,0.5094278,0.558244,0.5758087,0.57183534,0.5560851,0.5308282,0.49860668,0.46132863,0.42614242,0.39502418,0.37046775,0.3529611,0.34749615,0.35848057,0.38536385,0.4175814,0.4389905,0.44116494,0.43205762,0.43322918,0.45857397,0.5013878,0.53304017,0.5274754,0.4778812,0.40535167,0.34244594,0.31826845,0.34162876,0.4004401,0.46420622,0.5027732,0.49766836,0.45481157,0.39378726,0.34062782,0.31136608,0.31172514,0.33396828,0.36455187,0.3887585,0.4008375,0.40516126,0.4141272,0.4336079,0.4596152,0.4773179,0.47903165,0.46718183,0.45368728,0.44283214,0.42877844,0.40255848,0.3641945,0.3237473,0.29177842,0.27375817,0.27155113,0.28725377,0.31995904,0.3616428,0.39732382,0.41576448,0.41408002,0.40145543,0.38930866,0.38751838,0.39693514,0.41324365,0.43131986,0.4494113,0.46643552,0.47659218,0.47141573,0.44739,0.41112018,0.37672436,0.3563908,0.35612166,0.37272468,0.39685202,0.4166583,0.42322746,0.41478333,0.39385512,0.36700502,0.34095383,0.32303056,0.31607497,0.31743315,0.3213559,0.3249412,0.33147803,0.34512082,0.3642343,0.37796164,0.37557557,0.3546088,0.32501397,0.2979997,0.28086686,0.27264693,0.27158785,0.27320167,0.27245173,0.26245168,0.24185841,0.2163917,0.19712466,0.19217648,0.20229435,0.22008593,0.23562431,0.24077165,0.23359531,0.21666361,0.1959821,0.17755343,0.16695976,0.16716655,0.17741008,0.19312073,0.20842159,0.21950144,0.22495514,0.22438817,0.21702366,0.20347792,0.18793814,0.17720449,0.17675896,0.18598099,0.19858247,0.20594634,0.2030471,0.18999405,0.17122419,0.15229644,0.13815092,0.13247932,0.13668102,0.14957738,0.16674298,0.18276793,0.19310908,0.19662027,0.19502465,0.19100513,0.18578108,0.17887205,0.17039873,0.16250868,0.1584542,0.15916935,0.16220981,0.1636403,0.16177236,0.1586954,0.15991181,0.17367643,0.2086482,0.2699009,0.35107848,0.43463123,0.49800387,0.5289008,0.52966017,0.513557,0.49195704,0.47024843,0.4501615,0.4355315,0.43153504,0.44045973,0.45758665,0.47095957,0.46702838,0.4373765,0.38771424,0.335162,0.30305538,0.3065977,0.34527418,0.40009466,0.44266155,0.45365882,0.43164453,0.39249745,0.35258555,0.3243086,0.31673554,0.34085158,0.40142044,0.48487973,0.55916923,0.5905457,0.56760746,0.50630677,0.43714246,0.38221037,0.3485086,0.3328409,0.3339113,0.35265264,0.38611615,0.4217172,0.44211593,0.43703768,0.41154575,0.3822881,0.36649343,0.37038803,0.38962686,0.41432393,0.43637088,0.4494877,0.45003358,0.44015518,0.43035492,0.43356252,0.4536134,0.4810237,0.50178224,0.51190764,0.51893455,0.53236413,0.5490854,0.5582039,0.5523014,0.53808117,0.52767485,0.52593803,0.5276894,0.5222687,0.50502044,0.47531,0.44076574,0.40789947,0.3828478,0.36198696,0.3423363,0.32333887,0.31513348,0.32372284,0.34870005,0.37953606,0.4119029,0.44510603,0.4795021,0.5045684,0.5109816,0.4975363,0.47699174,0.4595126,0.44886088,0.4413394,0.4368694,0.4344302,0.43104813,0.41913626,0.39723358,0.3699415,0.34713006,0.33325693,0.32903647,0.33033168,0.33323216,0.332082,0.32280776,0.30455872,0.28125694,0.2592434,0.2430058,0.23446785,0.23238985,0.23454751,0.23704243,0.23653062,0.23026502,0.21813518,0.20172568,0.18520842,0.17359817,0.17214257,0.18346094,0.20689178,0.2375743,0.2686046,0.29258966,0.30472574,0.3035064,0.29239443,0.2780232,0.26861927,0.2686205,0.27728853,0.287631,0.29222724,0.28604874,0.2704874,0.24931759,0.22703959,0.20541304,0.18644388,0.1723442,0.16596554,0.16696079,0.1721638,0.17636667,0.17678793,0.17287797,0.16680948,0.16126703,0.16085416,0.17086218,0.19520509,0.23154478,0.27025902,0.29795447,0.3049988,0.29034862,0.2618169,0.23175068,0.21374299,0.21965587,0.25722006,0.32390025,0.40501535,0.4791964,0.5305781,0.55722636,0.56483394,0.56041515,0.54429203,0.51865464,0.4858198,0.45180067,0.41923848,0.39080036,0.36916742,0.3596513,0.3666924,0.38942933,0.417683,0.43602931,0.4349983,0.42103562,0.41462013,0.43164662,0.46879768,0.50059396,0.50135905,0.46263495,0.4023176,0.34999564,0.3325639,0.35874474,0.4179733,0.48145032,0.5197595,0.5140375,0.47039905,0.40857852,0.35472742,0.3236501,0.32013297,0.33641148,0.36049774,0.37940636,0.38789406,0.3898071,0.3967313,0.41510558,0.44157457,0.46163025,0.46689737,0.4593842,0.4510555,0.44527742,0.43464467,0.40809572,0.36624932,0.3210518,0.28571448,0.26637757,0.2645183,0.28183043,0.31714737,0.36188355,0.39923367,0.41687426,0.41238868,0.39690915,0.38346776,0.3824723,0.39455092,0.41486692,0.4371179,0.45848432,0.4771093,0.48785973,0.48304382,0.45969602,0.4239036,0.3889089,0.36631337,0.3624272,0.3752365,0.39693704,0.41603863,0.42260692,0.4118894,0.38475707,0.34799215,0.31219938,0.28838637,0.28143248,0.28728226,0.29758728,0.30739754,0.31900397,0.33642682,0.35780677,0.37291196,0.37179205,0.3531388,0.3266466,0.30287352,0.28786469,0.28092277,0.28093827,0.28423557,0.28514054,0.27546316,0.253294,0.22520465,0.20434852,0.20000009,0.21252449,0.23232758,0.24748571,0.2493787,0.23777275,0.21740496,0.19546926,0.1773219,0.16796045,0.17099059,0.18809164,0.21564436,0.24521686,0.26671803,0.27388334,0.26639524,0.24875414,0.22695352,0.20751618,0.19650078,0.1984338,0.212565,0.23238468,0.24790756,0.25203037,0.24374281,0.22829483,0.21276718,0.20292467,0.20190609,0.21172316,0.23377597,0.26742244,0.30776075,0.3449156,0.36709324,0.36552846,0.34002653,0.29992333,0.26098695,0.23778434,0.23775761,0.25850704,0.29068792,0.32288036,0.34577593,0.3539767,0.34699607,0.33032414,0.31540182,0.31497407,0.33551168,0.37137714,0.40734446,0.42875803,0.42994216,0.41591737,0.3955022,0.37620306,0.36134955,0.35088328,0.34323505,0.33693826,0.33306918,0.3326672,0.33442116,0.33335674,0.32520977,0.3111244,0.2972381,0.28950086,0.28891087,0.29052424,0.28771934,0.27458474,0.25069857,0.22026296,0.19160955,0.17128672,0.16332309,0.17144819,0.20203976,0.25998017,0.3388393,0.418198,0.47315517,0.4908881,0.4777962,0.45116636,0.42595288,0.40680265,0.3935021,0.38472894,0.38074818,0.3785075,0.37441286,0.36654767,0.356644,0.3468094,0.33633935,0.32588568,0.31731594,0.31499484,0.31822416,0.32327774,0.32415578,0.31845188,0.30718055,0.2934538,0.28110215,0.27310273,0.273236,0.28281653,0.3009617,0.32147977,0.3372294,0.34184453,0.33511814,0.3226361,0.31298348,0.31097376,0.31324157,0.31290555,0.30517963,0.29316473,0.28141296,0.27337345,0.26631096,0.25748852,0.24453902,0.23137595,0.2248094,0.23418362,0.26335874,0.30862585,0.35961115,0.40653777,0.44495034,0.4730959,0.4878211,0.484441,0.46314684,0.4320071,0.40206465,0.38041615,0.36720237,0.3602939,0.356575,0.353381,0.3461744,0.33350882,0.31724608,0.30355418,0.2959582,0.29442415,0.29445294,0.2917455,0.28297272,0.2667741,0.24342753,0.21598321,0.19060986,0.17470802,0.1744156,0.19236274,0.2269727,0.2720859,0.3168228,0.3485109,0.35596395,0.33630022,0.29542324,0.24770105,0.20644991,0.17945756,0.16470636,0.15629548,0.14803936,0.13855356,0.12861818,0.12058619,0.114341356,0.10967351,0.10538334,0.10237703,0.10093049,0.10117819,0.101067126,0.098645955,0.09286333,0.08500683,0.07727116,0.071443796,0.068147205,0.06781036,0.070816584,0.07652884,0.082063064,0.08375224,0.07969553,0.071495704,0.06240523,0.054886762,0.04901254,0.043817267,0.038769886,0.034492154,0.031754117,0.030496458,0.029854858,0.02890057,0.028152892,0.030792648,0.044388194,0.0787524,0.14081304,0.22584678,0.31654254,0.3899984,0.43193647,0.44377983,0.43844405,0.4295946,0.42137286,0.40983987,0.38844845,0.3584949,0.32920137,0.31181473,0.30911115,0.31387994,0.31577063,0.3100781,0.29848522,0.2844423,0.26947185,0.2545214,0.24235679,0.23529278,0.23298733,0.23041774,0.22311181,0.20991111,0.19620717,0.19076854,0.2020594,0.23232417,0.2743359,0.31432128,0.3399659,0.3478224,0.34243026,0.32982287,0.31460536,0.30080676,0.29453513,0.29973075,0.31564996,0.33631632,0.35518047,0.36681578,0.36800075,0.3574847,0.33854842,0.31647092,0.29715407,0.28175512,0.27051127,0.26219925,0.25751123,0.25504217,0.2528089,0.24866207,0.24260692,0.23757409,0.23695774,0.2450941,0.26073006,0.2800232,0.29337975,0.296959,0.28947785,0.27744254,0.26599565,0.2612737,0.26452485,0.2734841,0.2825702,0.28722456,0.28721002,0.2836387,0.27711302,0.26675,0.25408548,0.24441586,0.24407935,0.25904563,0.29168537,0.34175035,0.40163624,0.45968232,0.5018373,0.5218228,0.51987654,0.5033075,0.4769704,0.44609085,0.41504732,0.39232326,0.38445866,0.39328933,0.41200826,0.42908528,0.43145669,0.4128476,0.37516746,0.3298892,0.2881881,0.25844017,0.24301587,0.241921,0.2504762,0.2593296,0.25724986,0.23939274,0.2117999,0.18899715,0.18445219,0.2038539,0.24214907,0.28803435,0.32734844,0.34947184,0.34882835,0.32799575,0.29392257,0.25583726,0.220492,0.19207317,0.17151445,0.15761745,0.14756203,0.1390714,0.13129061,0.125149,0.1204356,0.11629799,0.11031336,0.10259637,0.093630455,0.08624247,0.080920815,0.0783985,0.076779485,0.07565305,0.074091434,0.07322713,0.073441446,0.07509515,0.07692633,0.077429645,0.07549686,0.071484916,0.066879444,0.06336651,0.06176207,0.061853796,0.062453687,0.06250605,0.06143717,0.05988786,0.058729142,0.058597516,0.059347034,0.06103389,0.06497339,0.074879415,0.09693649,0.13778393,0.19968669,0.27543166,0.3503578,0.41009507,0.45281896,0.48535728,0.5177587,0.5470524,0.5671393,0.57002115,0.56137514,0.54892296,0.5438653,0.54970735,0.5662282,0.5860037,0.6002865,0.60084695,0.5851318,0.553516,0.5113761,0.4643624,0.4197419,0.3809178,0.35006693,0.3276069,0.31322965,0.30419722,0.29686645,0.2912587,0.29332423,0.30977765,0.34137735,0.3797722,0.41517493,0.44113207,0.45740378,0.4633672,0.45839143,0.44141266,0.41671273,0.39077115,0.36987057,0.35417435,0.33985925,0.32389545,0.3069072,0.29350582,0.28564712,0.28553072,0.29182652,0.30527064,0.32177517,0.33721018,0.34483,0.34207878,0.32912055,0.31021386,0.29110774,0.27802768,0.27621737,0.28707007,0.30792347,0.33196458,0.35211864,0.36237273,0.3609345,0.35115573,0.34027502,0.33413553,0.3313595,0.32608494,0.3131272,0.29460016,0.27601048,0.26301333,0.2559651,0.25215182,0.24665137,0.23841912,0.23163001,0.23651719,0.26092792,0.30443677,0.35655543,0.40548047,0.44448856,0.47247216,0.48675594,0.4839393,0.46298444,0.4325292,0.40328637,0.38394615,0.37417123,0.37150106,0.37115464,0.3695587,0.3610303,0.34403157,0.3211653,0.30100155,0.28902337,0.28623727,0.287354,0.28707775,0.28115115,0.26767877,0.2465427,0.22076942,0.19702388,0.18261671,0.1817258,0.19257398,0.20959534,0.22657461,0.23973735,0.24805863,0.25208107,0.25279355,0.2510602,0.24799256,0.2449823,0.24209915,0.23785996,0.22864322,0.21226734,0.1889184,0.16293803,0.13981041,0.124014355,0.116488636,0.11537201,0.117835246,0.12114764,0.122645624,0.11968383,0.11088991,0.097706854,0.08341991,0.071863055,0.06574075,0.06823588,0.08245816,0.10906602,0.14139237,0.1666516,0.17300455,0.15871383,0.13254635,0.1069865,0.08919149,0.07904322,0.07209887,0.064723805,0.055903632,0.046836223,0.0388899,0.032687705,0.028013112,0.025185369,0.026566694,0.03872699,0.07094968,0.13063084,0.21408294,0.3051566,0.38104454,0.42701367,0.44305924,0.44098696,0.43385887,0.4264604,0.4159138,0.39591923,0.3673054,0.33841,0.32080853,0.31756875,0.322009,0.32302946,0.31589964,0.3023039,0.28693894,0.2718841,0.2583487,0.24853282,0.24422313,0.24486846,0.24505347,0.24001627,0.22780053,0.21354938,0.20539004,0.2111273,0.23197277,0.26122105,0.28787276,0.30423054,0.31048656,0.31171024,0.31082466,0.30757505,0.3019289,0.2985277,0.30244228,0.31484222,0.33149192,0.34702134,0.35743928,0.36007175,0.3527154,0.3362933,0.31456867,0.2942625,0.27917174,0.27172735,0.270296,0.27271023,0.27412918,0.27099848,0.26174238,0.24830024,0.23543632,0.22849976,0.23371212,0.25139847,0.27724028,0.29875103,0.3080361,0.3014233,0.28615138,0.27012247,0.2619067,0.26347986,0.27178642,0.28037795,0.2843872,0.2842354,0.28159392,0.27705598,0.26901495,0.25832006,0.25036666,0.2518579,0.2687298,0.3021843,0.34999824,0.40332124,0.44949448,0.47597292,0.4776589,0.45953548,0.43173638,0.40333763,0.37791252,0.357713,0.3456953,0.3462844,0.35968268,0.3807399,0.39884722,0.40292922,0.3868097,0.35344753,0.31459013,0.28229046,0.26336196,0.25677422,0.2592738,0.26572946,0.27031374,0.26506448,0.24632232,0.21711387,0.1885171,0.17183244,0.17349952,0.19118898,0.21654356,0.23944044,0.25202072,0.25150356,0.23982275,0.22293581,0.2067712,0.19433759,0.18448348,0.17447881,0.1630844,0.15063457,0.1380909,0.12606642,0.11576364,0.1086433,0.10564593,0.10641745,0.11015767,0.11594256,0.12270925,0.12816037,0.12993647,0.12661853,0.11956402,0.11185465,0.107711196,0.11161367,0.12794237,0.15917164,0.20138688,0.243174,0.2687818,0.26818785,0.24312009,0.20608707,0.17161016,0.14820541,0.13644908,0.13199364,0.13029437,0.1287052,0.12619099,0.1221607,0.11602906,0.10892513,0.10540285,0.11502075,0.14944665,0.21601455,0.3089855,0.4088094,0.4918442,0.5452071,0.5730453,0.5888629,0.6028919,0.6149225,0.6187673,0.61039823,0.59321994,0.57472986,0.5581298,0.5381257,0.5044071,0.4550729,0.40116274,0.3653545,0.36474988,0.40463224,0.4709731,0.5412894,0.58926433,0.60235745,0.5821242,0.54546094,0.5065823,0.4762865,0.46067652,0.47103414,0.5142513,0.58188516,0.645317,0.67055726,0.6433571,0.5756462,0.49902532,0.43918774,0.4087361,0.4024873,0.4116201,0.42755628,0.44668105,0.46422267,0.47351444,0.47009668,0.45851538,0.45175934,0.4606745,0.4845685,0.5123926,0.5332827,0.5442321,0.547256,0.54391164,0.5345337,0.5242354,0.5212256,0.5289421,0.5399979,0.5430909,0.53769857,0.5339156,0.5424092,0.55642146,0.5608282,0.54612684,0.5231727,0.50944453,0.51263165,0.5253034,0.53330237,0.5289509,0.50908047,0.4788133,0.4447794,0.41767812,0.40063456,0.3925033,0.38779238,0.38700357,0.39174616,0.4038266,0.4206375,0.44318092,0.47191596,0.5051884,0.5299483,0.53535146,0.5193373,0.49608135,0.479208,0.47466734,0.47792804,0.48441747,0.49139795,0.49649024,0.49372384,0.47859493,0.45087025,0.4186802,0.3911248,0.37626782,0.37431228,0.38114107,0.38876972,0.39090255,0.38425812,0.36982986,0.35196188,0.33671498,0.32955003,0.33238566,0.3413,0.3477441,0.3429955,0.3232157,0.29130682,0.2543005,0.22064309,0.19710721,0.18822794,0.19398181,0.21023889,0.22890647,0.24231482,0.24533741,0.23792386,0.22317295,0.20663957,0.19474076,0.19424014,0.20899618,0.23687851,0.26854083,0.29227805,0.29948017,0.28897813,0.26470992,0.23389907,0.20397894,0.18294983,0.17598696,0.18425618,0.20313643,0.22606444,0.2462482,0.2588719,0.260691,0.25267535,0.24106914,0.23641567,0.24678187,0.27311227,0.30671903,0.33573374,0.3499392,0.3471999,0.3306785,0.30706656,0.28271857,0.26646096,0.27007404,0.30472198,0.37062597,0.45195016,0.52375937,0.5677311,0.5829105,0.5791159,0.5672283,0.5487295,0.5243408,0.493963,0.46313584,0.4341174,0.40985882,0.39130726,0.38260457,0.38777712,0.40795636,0.43636537,0.45918748,0.4663818,0.4607484,0.46044353,0.4805057,0.52024275,0.55645937,0.5644826,0.5326051,0.47456062,0.41687235,0.3876922,0.40029702,0.44950798,0.5111455,0.55526596,0.5587091,0.51868767,0.45068273,0.3816769,0.33480373,0.32153198,0.33823287,0.3714713,0.405267,0.42939427,0.4429066,0.4537946,0.46789744,0.48462448,0.49390543,0.4917707,0.48250806,0.47847652,0.48209217,0.4843559,0.47091034,0.43748662,0.39180958,0.3471197,0.31414703,0.30081698,0.3126273,0.34971884,0.4014068,0.44872415,0.47465613,0.4743391,0.4565922,0.43718696,0.4290631,0.4366088,0.45389202,0.4724264,0.48598245,0.49384913,0.49424812,0.48380384,0.46071956,0.43030342,0.40341616,0.38942358,0.39158738,0.40635267,0.4253061,0.4391049,0.439746,0.4259967,0.40096226,0.3728437,0.34938416,0.33765456,0.33978108,0.35244313,0.36933768,0.38539863,0.4017365,0.42087197,0.44225666,0.45654693,0.45321453,0.4283502,0.39093915,0.35572478,0.33498803,0.33169675,0.34123123,0.35310292,0.35578763,0.34117535,0.3113605,0.27831224,0.2570563,0.25508216,0.26858202,0.28652444,0.29879442,0.30132306,0.29658902,0.28978872,0.28439885,0.28018653,0.27553248,0.2707839,0.26785657,0.26688477,0.2650033,0.25953647,0.25213933,0.24637394,0.24363859,0.2405539,0.23467523,0.22929879,0.23181333,0.24672095,0.2685977,0.28674245,0.2906064,0.27799276,0.25262332,0.22302218,0.19753926,0.18452965,0.18943292,0.21387215,0.25190485,0.29212084,0.3216915,0.33423793,0.33219787,0.32375267,0.31606475,0.31168032,0.31022313,0.31142414,0.31530762,0.31998393,0.3220881,0.31902757,0.31174374,0.30185723,0.29163444,0.28501078,0.29153666,0.32193547,0.37790313,0.44565067,0.5009137,0.52573806,0.5188673,0.4942086,0.4672928,0.44608155,0.43309626,0.43060628,0.44287586,0.46850863,0.49948156,0.5206682,0.519389,0.4883003,0.4341532,0.3744746,0.3345455,0.3319938,0.36873218,0.42644534,0.4775125,0.50104785,0.49384153,0.46787277,0.43705383,0.41160926,0.4000242,0.41389355,0.46056938,0.5309941,0.5968363,0.62473613,0.59997654,0.5341662,0.45682883,0.39263543,0.35339022,0.33839607,0.34512758,0.37058356,0.40933117,0.44987774,0.4772719,0.48013964,0.4587518,0.42526898,0.39789823,0.38858807,0.3990269,0.4220703,0.4484211,0.46938375,0.47816896,0.47363612,0.4626263,0.4575235,0.46526095,0.48272514,0.4992145,0.51111585,0.5231182,0.54420805,0.5716129,0.59411544,0.60040766,0.5912507,0.5759576,0.56181973,0.55074173,0.5380365,0.520498,0.49449942,0.4630942,0.43193507,0.40976202,0.39825678,0.39449108,0.39297923,0.39465842,0.40207574,0.41686788,0.43509308,0.45566067,0.47937322,0.5070726,0.52998656,0.53807163,0.528198,0.5117149,0.5010677,0.500309,0.5024812,0.50172776,0.4974916,0.49186954,0.48209918,0.46419433,0.43804598,0.41154674,0.39265248,0.38517094,0.3852663,0.38703084,0.3839462,0.37185284,0.34940124,0.319425,0.28917345,0.26714495,0.26099947,0.2731228,0.30024183,0.33179465,0.3547103,0.35735318,0.3366846,0.2981938,0.2548196,0.21997142,0.20419945,0.21101622,0.2364111,0.2694582,0.29637536,0.30717692,0.2990868,0.27704176,0.24930537,0.22525387,0.21360886,0.22014485,0.24416824,0.2757926,0.30046347,0.30643284,0.29179382,0.26361904,0.23290586,0.20836593,0.19437636,0.19025229,0.19271708,0.19669092,0.19908692,0.1986671,0.19684064,0.19442493,0.19173133,0.18941921,0.1912029,0.2032383,0.22975345,0.2688522,0.31234178,0.35005018,0.37415978,0.38014516,0.36774632,0.34172907,0.31531522,0.30676147,0.33161232,0.38963422,0.46196863,0.5215772,0.5514016,0.55513877,0.5464769,0.53747576,0.5268133,0.51260644,0.49333462,0.47543514,0.46090922,0.4506023,0.44122577,0.4334532,0.43137646,0.43953386,0.45666978,0.47158083,0.47426596,0.4641341,0.45787206,0.47103587,0.5064879,0.5435171,0.55781144,0.5359554,0.4889697,0.44049808,0.41533628,0.42525518,0.46623087,0.5174783,0.5521598,0.54871225,0.50518614,0.43722787,0.3716472,0.33082935,0.32572314,0.35134557,0.39159968,0.4270358,0.44588363,0.4485843,0.44663987,0.4494979,0.45884046,0.46477425,0.46155778,0.45196342,0.4488052,0.4564011,0.46605602,0.46132457,0.43510497,0.3938817,0.35056034,0.31578362,0.297088,0.30083427,0.32799765,0.36944917,0.4069576,0.42622712,0.42410076,0.4110774,0.40078083,0.40420833,0.42274037,0.4496306,0.47477376,0.49253002,0.5036665,0.5103426,0.511203,0.5031036,0.4857271,0.4636784,0.44452763,0.4358071,0.44232965,0.46120372,0.4817861,0.48897943,0.47336066,0.43532237,0.38591567,0.34106767,0.31538963,0.31621134,0.33960226,0.3742161,0.40701345,0.43223557,0.44991532,0.46194172,0.4652883,0.4553794,0.43207315,0.40291584,0.37720695,0.35900328,0.34631744,0.33635125,0.32793033,0.3195467,0.3070557,0.28796163,0.26528868,0.24804509,0.24315071,0.2514588,0.26610407,0.27884516,0.28316268,0.27748394,0.26359582,0.2453201,0.2273466,0.2154594,0.21672636,0.23592289,0.2711496,0.31119013,0.34153333,0.35234943,0.3448776,0.32671753,0.30609497,0.28640875,0.2703798,0.26129308,0.26338756,0.27522704,0.2899021,0.29772192,0.29448783,0.28247467,0.26914895,0.26180995,0.26642403,0.28542948,0.31657967,0.35078466,0.37582493,0.38213256,0.36886373,0.34221807,0.31173873,0.28622547,0.27454802,0.28444207,0.3195894,0.37421322,0.43383834,0.48052108,0.5019307,0.4946486,0.46434453,0.42220247,0.38372263,0.36559522,0.37944487,0.42353258,0.48045495,0.52741075,0.5522675,0.55999875,0.56388205,0.56900066,0.5711803,0.5649264,0.55518,0.5526552,0.5654548,0.5925744,0.62338257,0.64508843,0.6467881,0.6281293,0.59519094,0.55830836,0.52583104,0.50314564,0.48994264,0.4782836,0.45791587,0.42291355,0.37741566,0.33134678,0.29773304,0.2876693,0.30965102,0.36153892,0.4295781,0.48891282,0.5190325,0.51376694,0.48475325,0.4489816,0.41675448,0.39016166,0.36888185,0.35740578,0.36049852,0.37817684,0.39937854,0.40910494,0.39616087,0.36531082,0.33219144,0.3156848,0.32241344,0.34782603,0.3808082,0.41234255,0.43510595,0.44303465,0.4356825,0.42282775,0.42080605,0.43811724,0.4679953,0.49374068,0.5074541,0.51379424,0.52366495,0.53437823,0.5347502,0.5160663,0.4878277,0.4669106,0.46170688,0.46739092,0.4718853,0.4699432,0.45891848,0.4423728,0.42284477,0.40544185,0.39005217,0.37471914,0.3582677,0.34681204,0.34845757,0.3654952,0.39203522,0.42155635,0.45340422,0.4877422,0.5189311,0.53576714,0.5327318,0.51282567,0.48427406,0.45132172,0.41806328,0.3898233,0.37362608,0.36896804,0.36711335,0.3582567,0.34023997,0.31968948,0.30340114,0.2933464,0.286551,0.27968332,0.27163017,0.26194087,0.25122845,0.23920505,0.22789274,0.2195531,0.21906526,0.22957484,0.25175473,0.28003132,0.30578196,0.32097098,0.3228629,0.31296027,0.2954029,0.27318037,0.25040355,0.22969617,0.21436156,0.20328216,0.19455081,0.18475795,0.17354637,0.16171461,0.15076774,0.14086072,0.13175163,0.12335039,0.11674932,0.11225798,0.10909861,0.10442599,0.09661596,0.08612483,0.07638372,0.0707709,0.07212242,0.08192807,0.10102954,0.12644112,0.15072988,0.16356778,0.15936416,0.14071192,0.117132716,0.097498685,0.08611936,0.083261125,0.08937829,0.10570971,0.13181905,0.16150759,0.18490505,0.19293755,0.18434805,0.16581182,0.15110064,0.15610737,0.19395559,0.266256,0.3581045,0.44407323,0.5029614,0.5315532,0.5394282,0.53832555,0.52886724,0.50806594,0.47377,0.43288565,0.39391553,0.364666,0.34853902,0.34768793,0.36417136,0.39671803,0.43739232,0.46872866,0.47671068,0.46007076,0.4394534,0.43698743,0.46084714,0.48976254,0.4943885,0.45593318,0.38654432,0.3165777,0.28073287,0.29492,0.3535566,0.42809498,0.48565236,0.50118405,0.47416094,0.42200902,0.37216285,0.34400138,0.34455112,0.36638343,0.3951348,0.41622928,0.42366937,0.42203316,0.42369738,0.43596098,0.45591685,0.46893775,0.4656508,0.44846258,0.43292627,0.42828122,0.42975053,0.4216958,0.3962961,0.3590176,0.32382056,0.29987767,0.2917565,0.3003927,0.3256245,0.36061594,0.39244238,0.40922332,0.406912,0.39276743,0.37811497,0.37372056,0.38174185,0.3974986,0.4133378,0.42727935,0.44067466,0.45295677,0.45642138,0.44528136,0.4210796,0.39550367,0.37986824,0.38203117,0.40142515,0.43174115,0.46152726,0.47968292,0.4803442,0.4626055,0.4320372,0.39607736,0.3652796,0.34370613,0.3303605,0.31878355,0.30858776,0.3046888,0.31367004,0.33258677,0.34943584,0.35074353,0.33415827,0.30834055,0.2857156,0.27112088,0.26382998,0.26096717,0.26165378,0.2621435,0.25578183,0.23772156,0.2116534,0.18977125,0.1849667,0.20301807,0.23972915,0.28452423,0.32704386,0.36016774,0.37940678,0.38025928,0.36071673,0.3257874,0.28735515,0.25769937,0.2411483,0.2340064,0.22902001,0.2213022,0.20948553,0.1942687,0.17751674,0.1611905,0.1483642,0.14157206,0.14230841,0.14882773,0.1570117,0.16195203,0.1611805,0.15575683,0.14962368,0.14687431,0.15069048,0.1633125,0.18699472,0.2213759,0.25993884,0.28989807,0.29892436,0.2844623,0.25476202,0.22257866,0.1954592,0.17447351,0.15730797,0.14296192,0.13188526,0.12462684,0.120919265,0.12024742,0.12321099,0.13334675,0.15826678,0.20866406,0.2909483,0.39905605,0.5106439,0.59647757,0.6373355,0.63482744,0.61115867,0.5897592,0.5850959,0.59373933,0.61147696,0.6356141,0.67191267,0.72065884,0.7781291,0.83309317,0.8736009,0.8885617,0.87441844,0.8397729,0.8016348,0.7747025,0.7563884,0.72880507,0.673094,0.5916562,0.51007396,0.4593357,0.45113766,0.4731561,0.50464827,0.533958,0.5576503,0.5711761,0.5647943,0.53688294,0.49768043,0.46372262,0.4387224,0.41520667,0.3846743,0.3528051,0.3352414,0.34418008,0.3761342,0.4127079,0.4328299,0.42681387,0.40107796,0.3734727,0.36026672,0.36922097,0.3967876,0.43286762,0.46471724,0.48272255,0.48514983,0.47997677,0.47863838,0.48667502,0.49948946,0.50855106,0.51268476,0.51893973,0.535384,0.5572298,0.5716689,0.5683705,0.5522004,0.5364602,0.52981186,0.53099805,0.5306895,0.5226508,0.50346214,0.477622,0.4515051,0.43252698,0.42125437,0.41419566,0.40739635,0.40311024,0.40491775,0.41412282,0.42644247,0.44205663,0.46466193,0.49814,0.53356194,0.5562777,0.5563424,0.5386841,0.5153268,0.49506488,0.48106554,0.47403535,0.4744852,0.47805512,0.47613654,0.46183476,0.43666005,0.40936413,0.3888334,0.37944928,0.381698,0.39340448,0.4108863,0.42664322,0.43347093,0.4259826,0.40652028,0.38224193,0.36323357,0.35487315,0.35529009,0.35587776,0.34753194,0.326687,0.29656968,0.2642446,0.23653533,0.21808444,0.21195042,0.21937305,0.2403773,0.27133983,0.3045262,0.32832935,0.33279824,0.3157325,0.28458712,0.2528183,0.23346233,0.23525585,0.26053774,0.30218375,0.3446389,0.3686825,0.36375895,0.3325204,0.28944102,0.24986197,0.2249554,0.21842988,0.22997268,0.2543812,0.28520116,0.3140281,0.33518568,0.34430182,0.3413498,0.32897738,0.31486556,0.30798593,0.31539786,0.3356644,0.3597592,0.37527716,0.37514284,0.35972336,0.3354199,0.30983457,0.29188994,0.29220966,0.32098922,0.37909207,0.45289746,0.51918024,0.56024843,0.57468635,0.5739017,0.57036394,0.56677216,0.5595386,0.54319984,0.5174938,0.4837766,0.4463947,0.41051888,0.38459566,0.37651563,0.38900042,0.41560522,0.44072774,0.45191944,0.4476304,0.44430932,0.45822003,0.49353823,0.53015214,0.54242927,0.5152809,0.46039653,0.40562752,0.38066912,0.3982844,0.45153806,0.5158274,0.5628841,0.57051903,0.53471214,0.46848667,0.39748427,0.34573802,0.32643136,0.3370739,0.36429498,0.39233363,0.412124,0.4245732,0.43826184,0.45871398,0.48328027,0.5000782,0.50129265,0.48880088,0.47429192,0.4645894,0.45620415,0.43887278,0.40908995,0.3727666,0.34022567,0.31771532,0.30942646,0.31974947,0.35128495,0.39772436,0.44261122,0.47034058,0.4748551,0.46412745,0.4502351,0.44423914,0.44836712,0.4597532,0.47193682,0.48299393,0.49190763,0.49741486,0.4922966,0.47289774,0.4411446,0.40884995,0.3864927,0.38160446,0.39322504,0.41564333,0.43848434,0.45136997,0.44911632,0.43272376,0.40986535,0.388504,0.37583575,0.3735206,0.37929675,0.38822636,0.3975066,0.40870178,0.42432094,0.44303402,0.45610985,0.45329395,0.43100655,0.39655736,0.3637911,0.34336102,0.33827892,0.34448016,0.3548912,0.36253008,0.36112693,0.34917912,0.33002958,0.31221426,0.30240655,0.3020458,0.3062105,0.30788305,0.30330685,0.29358932,0.28416035,0.27822283,0.2752558,0.27108753,0.26497093,0.26013216,0.26176956,0.2716671,0.28775033,0.30569324,0.3190878,0.32128564,0.3079563,0.28394616,0.26138058,0.252954,0.26111913,0.2775061,0.28957835,0.28951526,0.27650893,0.2549507,0.23098643,0.2117175,0.20289445,0.20773149,0.22521584,0.25149605,0.2816449,0.31068364,0.33304211,0.34349668,0.33987537,0.32655045,0.31198165,0.3040502,0.30453253,0.3105012,0.31705904,0.321521,0.3229492,0.32166657,0.31743488,0.3111185,0.30735934,0.31583926,0.34702405,0.40250027,0.46962476,0.5251794,0.550092,0.5406327,0.50970054,0.4744203,0.44544873,0.42496768,0.41345283,0.4143673,0.4296439,0.45587483,0.480278,0.48870274,0.46976534,0.42587805,0.37094855,0.3280996,0.31605545,0.3427316,0.39902806,0.46393394,0.5133011,0.5326344,0.5215856,0.49077204,0.45446947,0.42739928,0.42387298,0.4539121,0.5137706,0.5813367,0.6237051,0.6190756,0.5693037,0.4981688,0.43101105,0.3842,0.36277983,0.36815944,0.39803874,0.4429957,0.48578703,0.5083057,0.5022294,0.47440723,0.4410605,0.41832152,0.41159573,0.4185547,0.43263236,0.45008972,0.4661599,0.47539368,0.47358117,0.46447667,0.45858788,0.46419084,0.4798576,0.49563035,0.5057052,0.512914,0.5252145,0.5410404,0.5508749,0.54701024,0.53557897,0.5301218,0.5361698,0.5476916,0.5517034,0.5426064,0.5197246,0.48956,0.45882356,0.43534443,0.42094073,0.4127265,0.4063008,0.4028915,0.40585852,0.41574645,0.42701495,0.4380041,0.45290056,0.47727585,0.5047714,0.5216766,0.51910764,0.50328046,0.4872456,0.47872737,0.47707462,0.47931007,0.48408103,0.48866105,0.4870635,0.47446024,0.45227718,0.42789862,0.40832266,0.39572093,0.38800657,0.38137588,0.37273517,0.358911,0.33873525,0.31326628,0.28801012,0.2695975,0.26451293,0.27485272,0.29813632,0.32531103,0.34437737,0.3443997,0.32263774,0.28513968,0.2446111,0.21270488,0.1971559,0.19835818,0.21209948,0.22925074,0.24142802,0.24300313,0.23475231,0.22082312,0.20651436,0.1968267,0.19674586,0.21041922,0.23675203,0.26798004,0.29242754,0.3013114,0.29323316,0.27264324,0.24721801,0.2234409,0.20780735,0.20500942,0.21887289,0.24678849,0.2796137,0.3028569,0.30699953,0.29250428,0.26953223,0.24917369,0.23840529,0.24062502,0.25797695,0.29085156,0.33319393,0.37337026,0.3982855,0.40124765,0.38352597,0.35411724,0.3267858,0.317974,0.33954433,0.39123717,0.45663342,0.5137859,0.5476766,0.5606549,0.562484,0.5617978,0.5567713,0.54462457,0.5257256,0.50647646,0.49139056,0.4797453,0.4678469,0.45441604,0.4450209,0.4461333,0.45897034,0.472374,0.47449625,0.4625596,0.45321462,0.46417746,0.499849,0.53826874,0.5510111,0.5221527,0.46414074,0.4063495,0.37825,0.39256343,0.442023,0.5030489,0.54752904,0.5546164,0.5210539,0.4605458,0.39684594,0.3520031,0.33802283,0.35301366,0.38385558,0.41360822,0.4312903,0.43646228,0.43850937,0.44584474,0.4598349,0.47159925,0.47390497,0.46773243,0.46332133,0.4663534,0.47079214,0.46341875,0.43765223,0.39916286,0.3596101,0.328405,0.31163633,0.31487888,0.3400298,0.3807116,0.42036495,0.44492254,0.44849077,0.43955338,0.4286497,0.42764637,0.43912756,0.46197057,0.48762837,0.51081973,0.526617,0.5337438,0.5283964,0.5106413,0.48383355,0.4569415,0.4371287,0.43010595,0.43676376,0.45447335,0.47385225,0.48344132,0.47447574,0.44621512,0.40534282,0.36330092,0.33270398,0.32277843,0.33521035,0.3635379,0.39716625,0.42791852,0.4520832,0.46846345,0.47415438,0.4652771,0.44222835,0.41219094,0.38602376,0.36902443,0.3597618,0.35297444,0.34591523,0.33670607,0.32283184,0.30256534,0.27909485,0.26084894,0.2549648,0.26180542,0.27426174,0.28328216,0.28389764,0.27674723,0.26626667,0.25607172,0.24839038,0.244443,0.24727309,0.26050672,0.28598383,0.31910956,0.34979793,0.36633694,0.36337876,0.34353206,0.31577966,0.28877756,0.26916865,0.26055112,0.26494542,0.28024518,0.29986694,0.31440508,0.31707612,0.3075743,0.29179692,0.27902183,0.2772278,0.29060492,0.31776032,0.35269883,0.38673154,0.41087607,0.41887844,0.40889868,0.38461983,0.35279894,0.32014534,0.2903266,0.26373196,0.23939969,0.21678455,0.19680454,0.18054032,0.16860293,0.16069609,0.1585285,0.1673524,0.19601177,0.24879037,0.31953767,0.38952255,0.43905482,0.45671678,0.44466174,0.4127157,0.37408766,0.34170088,0.32616207,0.331822,0.35515437,0.3875201,0.42048994,0.4490008,0.46908876,0.47639707,0.46646252,0.441882,0.41170195,0.38775632,0.3739591,0.3671801,0.36177316,0.35607693,0.3502488,0.34224477,0.32864496,0.30890474,0.28867164,0.27601072,0.2756256,0.28597447,0.2998425,0.30970302,0.30968297,0.2993802,0.28141746,0.26171947,0.24633539,0.24202333,0.25327602,0.27998272,0.31387416,0.3421912,0.3534243,0.34500718,0.32206878,0.29463986,0.2709988,0.257517,0.2574406,0.27285662,0.30178618,0.3379959,0.37077466,0.3905067,0.39290354,0.3811506,0.36317444,0.34781978,0.3425702,0.3504952,0.3689555,0.38796481,0.3967224,0.38868746,0.3668612,0.33869818,0.31319523,0.29784474,0.3002988,0.32452643,0.36624798,0.41151574,0.44538364,0.46111587,0.46188655,0.45259407,0.43550006,0.41448393,0.40175965,0.41230538,0.44989172,0.49959326,0.53847075,0.55289984,0.5466562,0.5327127,0.5225573,0.51902694,0.5201463,0.52081966,0.51900834,0.51422757,0.5101345,0.50953937,0.5149956,0.5254841,0.5372702,0.54338413,0.53772,0.5204415,0.4990637,0.48267826,0.47480097,0.47110865,0.4648882,0.45091155,0.4298905,0.40739444,0.3935143,0.396659,0.42023134,0.45835623,0.50146866,0.53910214,0.5666392,0.57977724,0.5752859,0.549378,0.50575596,0.45467845,0.40889394,0.37627187,0.3574309,0.3494663,0.34859872,0.35346797,0.36297226,0.37502024,0.38454512,0.38596535,0.37707224,0.36153486,0.3464422,0.33620432,0.32877252,0.31784537,0.2996093,0.27690384,0.25726166,0.24795312,0.25192332,0.2681702,0.29163232,0.31513909,0.3302195,0.33222488,0.3226957,0.30930278,0.29965445,0.29591903,0.29456034,0.2910228,0.28510097,0.27976012,0.27770308,0.27660227,0.27207223,0.25962424,0.24052711,0.22046246,0.21106233,0.2224919,0.258684,0.31167257,0.36897543,0.42040458,0.4626259,0.49183843,0.5031735,0.4933281,0.46815214,0.43867254,0.41404924,0.3968792,0.38559768,0.3778102,0.37048575,0.35922948,0.34180418,0.3200103,0.3002828,0.2874665,0.28212532,0.28080383,0.27937818,0.27554762,0.26682246,0.25121784,0.2277789,0.20082758,0.17824501,0.16860811,0.17547311,0.19668989,0.22504883,0.25217447,0.2704474,0.27527747,0.2654805,0.24499768,0.2207518,0.20016587,0.18545371,0.17510264,0.16535635,0.15531206,0.14513579,0.1357619,0.12699454,0.118903734,0.11165345,0.10533658,0.099962644,0.09585375,0.09359471,0.09279343,0.091841556,0.08922202,0.08506599,0.08110857,0.078897506,0.07899799,0.081027396,0.08467982,0.08900208,0.09226128,0.09200715,0.087166704,0.07887146,0.07008624,0.06345669,0.059801448,0.058266703,0.057471022,0.05692783,0.05680618,0.057446923,0.05847073,0.059209555,0.059209615,0.060284723,0.06766006,0.09141209,0.1400959,0.21489973,0.30143073,0.37905464,0.42948535,0.4514879,0.45381472,0.4501475,0.4450061,0.4365131,0.41824377,0.39006087,0.3592454,0.3373432,0.32977006,0.33209825,0.33430362,0.32994768,0.31933174,0.305679,0.29142153,0.27752745,0.2672923,0.2631463,0.26504824,0.2663503,0.26045528,0.24438675,0.22379756,0.2082292,0.20725535,0.22435193,0.25611827,0.29220834,0.32150462,0.3364035,0.33764327,0.32922027,0.3169573,0.3050716,0.29932415,0.30363324,0.31758776,0.33612716,0.35332143,0.36604825,0.37198603,0.3686078,0.3550799,0.3344191,0.31295696,0.2949618,0.28224477,0.27434197,0.27080068,0.26959634,0.26746446,0.26154038,0.25154102,0.24054204,0.23288442,0.23383226,0.24475789,0.263779,0.2825711,0.2949307,0.2964217,0.28985596,0.27934697,0.27161837,0.27052495,0.27580583,0.28247377,0.28600964,0.28665864,0.28780583,0.2901332,0.2910025,0.28694162,0.2803259,0.27693653,0.28541973,0.3115106,0.3567934,0.41494644,0.47216478,0.51249534,0.5246067,0.5090096,0.47591296,0.44007775,0.41142535,0.39318097,0.38389456,0.38249418,0.38876513,0.40128088,0.41490868,0.4208503,0.41076994,0.3824331,0.34195873,0.30044794,0.2665636,0.24554841,0.23860109,0.24421376,0.2545152,0.25757563,0.24491476,0.21810402,0.18959431,0.17331873,0.17787455,0.20209913,0.23755212,0.27337494,0.29932776,0.3107371,0.3063461,0.29073915,0.2687704,0.24697633,0.22857578,0.21575381,0.2074017,0.20158589,0.19493599,0.1850298,0.17096479,0.1543896,0.13783313,0.123700686,0.11276343,0.10531028,0.10094013,0.09928319,0.09879013,0.09768629,0.09467637,0.09055271,0.08751618,0.088016935,0.09306815,0.102018625,0.11274404,0.122350514,0.12839235,0.12989946,0.1281872,0.12563692,0.12449464,0.12559573,0.12863505,0.13273157,0.13698661,0.14092594,0.14443846,0.14785746,0.15139878,0.15493143,0.15776794,0.15908697]