[0.016955838,0.023044834,0.035373967,0.04839694,0.057802826,0.06283585,0.066061236,0.07040495,0.0772331,0.0872354,0.10140834,0.120707214,0.14313038,0.163745,0.17692252,0.18041666,0.1761611,0.16824566,0.16012228,0.15301478,0.14689599,0.14089589,0.1343891,0.12643652,0.116873406,0.1066021,0.09844885,0.09545335,0.09870192,0.10543248,0.111019164,0.11286688,0.11351337,0.11852308,0.1311986,0.14855437,0.1629823,0.16800827,0.16230673,0.14910375,0.13228093,0.11462537,0.098573126,0.0873741,0.08357612,0.086571604,0.092466794,0.09734368,0.100581355,0.105154656,0.11358819,0.12491547,0.13398455,0.13599251,0.12931119,0.11670506,0.10220099,0.089238584,0.080109835,0.076710485,0.08053102,0.09082454,0.104171574,0.11518467,0.119947456,0.11753685,0.11009517,0.10046214,0.09074334,0.081802025,0.07379609,0.06666898,0.060384165,0.055220377,0.051911417,0.051738933,0.055537883,0.062794276,0.07093706,0.07716223,0.080242716,0.0820941,0.08568233,0.09280115,0.10179151,0.10918821,0.11166648,0.108557485,0.10117767,0.09188039,0.08266726,0.07551152,0.072439656,0.07478037,0.08176579,0.09046795,0.09843401,0.107037924,0.12166011,0.14717437,0.18170637,0.21593416,0.2387588,0.24573493,0.24054545,0.23001607,0.21853496,0.2083866,0.20504038,0.21433914,0.23771858,0.26419353,0.28081682,0.28020826,0.26949868,0.25869995,0.25381425,0.2505751,0.24250443,0.22604822,0.20375991,0.18022989,0.15922703,0.14303435,0.13417907,0.13483022,0.14385445,0.15494399,0.16068928,0.15957919,0.15825932,0.16467108,0.1784039,0.18994094,0.18908185,0.17477459,0.15449609,0.13680857,0.12412694,0.11425391,0.10639194,0.10448741,0.11341747,0.13218333,0.15310438,0.16704434,0.17041332,0.16508542,0.15494998,0.1419071,0.12693755,0.11130271,0.09736516,0.086725555,0.07954288,0.07465844,0.0709965,0.06832663,0.0670171,0.067175336,0.068353176,0.07241219,0.08671233,0.124281205,0.19348913,0.28811872,0.38392964,0.45394495,0.48211357,0.4707971,0.43170545,0.37897596,0.32360962,0.2730047,0.22917075,0.19003265,0.15297614,0.11877904,0.09154111,0.076650016,0.07727934,0.09261542,0.11634687,0.13922481,0.15305285,0.15512086,0.14800423,0.13688715,0.1261569,0.11841736,0.1147385,0.11491322,0.11733245,0.119082905,0.11807471,0.114957295,0.11386299,0.11859181,0.12917367,0.14046855,0.14685768,0.14635508,0.14184861,0.13712369,0.1334124,0.1293572,0.12398539,0.11925722,0.11871996,0.124194585,0.13324861,0.14115173,0.14487432,0.14549243,0.14623833,0.14872132,0.1514672,0.15160348,0.14772873,0.14061865,0.13225138,0.12438037,0.118198484,0.11450712,0.11352817,0.11456233,0.116887785,0.12223134,0.13684003,0.16780019,0.21530776,0.26661408,0.30171824,0.3063787,0.28193596,0.24227494,0.20247318,0.17032503,0.1457531,0.12628366,0.110848166,0.1004171,0.09513008,0.09326482,0.09178036,0.08885788,0.08427736,0.078880124,0.07325535,0.06766961,0.06223248,0.05710047,0.052392602,0.048160315,0.04437518,0.04099397,0.037962187,0.03528188,0.032978237,0.031072281,0.029492402,0.02804794,0.026430555,0.024314085,0.022567349,0.02474744,0.038371366,0.07060621,0.122564554,0.18490462,0.24436569,0.29295263,0.33196196,0.36567172,0.3926786,0.40757644,0.40693712,0.39585757,0.3824385,0.37210202,0.36275768,0.34993777,0.33154097,0.3113282,0.29422346,0.28201184,0.27030674,0.25347635,0.22889923,0.20005156,0.17245902,0.15155308,0.14175534,0.15007247,0.18262215,0.2388316,0.3040963,0.35642335,0.37706816,0.36172357,0.3182225,0.26067477,0.20239852,0.15388848,0.12141415,0.10652763,0.10599821,0.11314625,0.120071255,0.12112849,0.11548045,0.10713781,0.100925244,0.09835971,0.096668445,0.09217352,0.08402529,0.07487092,0.068085484,0.06470708,0.06299266,0.06059042,0.05679765,0.0527135,0.050818175,0.055499483,0.075125955,0.11850285,0.18774347,0.2696442,0.34012485,0.3753403,0.3662306,0.3204026,0.2570494,0.19564088,0.14931187,0.12237524,0.11338342,0.1180721,0.13080932,0.14489996,0.15493156,0.15963614,0.162143,0.16610129,0.1717074,0.1755511,0.1740015,0.16626771,0.15437323,0.14106847,0.12833534,0.11703234,0.10752308,0.09963895,0.09309321,0.087399386,0.08243214,0.07836292,0.07599729,0.07639442,0.08018294,0.08648845,0.09276711,0.09615192,0.095144205,0.090483576,0.08410441,0.078089595,0.074005924,0.07343129,0.0773352,0.08523954,0.094493024,0.10228755,0.1085358,0.11659646,0.13031583,0.14934824,0.16865964,0.18169844,0.18517727,0.18008412,0.16972499,0.15801746,0.14909935,0.14883466,0.161981,0.18920416,0.2229373,0.25177518,0.26586115,0.26335308,0.24865527,0.22911544,0.21072443,0.19762884,0.19188815,0.1934178,0.19933891,0.2052338,0.20769666,0.20710291,0.20716287,0.21143942,0.21928883,0.2255583,0.22478946,0.21616465,0.20443086,0.19592834,0.19372351,0.19605808,0.19875938,0.19835453,0.19367541,0.18504101,0.17351133,0.16009063,0.14609317,0.13279076,0.12142962,0.112598054,0.106220804,0.1014888,0.09747934,0.09349357,0.08943403,0.08550035,0.08202682,0.07917243,0.07689499,0.07499028,0.07325413,0.07213577,0.0730722,0.07829621,0.08904902,0.10406,0.11949096,0.13136794,0.13793612,0.14019734,0.14016758,0.13927458,0.13785659,0.13589452,0.13336517,0.13037254,0.12686801,0.122873485,0.11864831,0.11497334,0.11284429,0.11282492,0.11440129,0.116434656,0.118675925,0.12301435,0.13216893,0.14698206,0.16501032,0.18366198,0.20420478,0.23131442,0.26727661,0.30719683,0.34245896,0.36824274,0.38612702,0.39923248,0.4057099,0.4006822,0.38099203,0.34960964,0.31298378,0.2773588,0.24628662,0.22022675,0.19857837,0.18035688,0.16545725,0.15340894,0.14343125,0.1344648,0.12624162,0.11926842,0.11392611,0.109678335,0.10520097,0.0995921,0.09306156,0.08673469,0.081561126,0.07763743,0.074336685,0.07100078,0.06744351,0.06392043,0.060766798,0.058153722,0.055999044,0.05418131,0.052604795,0.05134271,0.050472986,0.05018488,0.05068883,0.05218422,0.054399747,0.056482032,0.05735478,0.05646014,0.05413885,0.05119868,0.048390582,0.045979206,0.043994535,0.042297542,0.040837277,0.03949092,0.0385467,0.039431754,0.04570665,0.06196643,0.09036764,0.12704329,0.16240579,0.18665604,0.19532953,0.19105373,0.17970389,0.16659647,0.1547705,0.14630866,0.14284874,0.14467876,0.14950748,0.15326993,0.15284783,0.1479634,0.14081663,0.13386929,0.12813152,0.122859664,0.11646068,0.107973926,0.097747065,0.08733966,0.07814392,0.07074201,0.06469787,0.05952561,0.05496995,0.05120468,0.04828617,0.046121866,0.04439805,0.04288781,0.04143094,0.03993031,0.038233534,0.03624001,0.033995215,0.03174932,0.029800974,0.028344564,0.027353644,0.026662452,0.02607058,0.025466166,0.024840593,0.02424858,0.023769846,0.023444315,0.023306621,0.02332892,0.023499005,0.023764623,0.02410571,0.024456501,0.024736144,0.024853466,0.024782931,0.025088975,0.028221274,0.039692868,0.06682909,0.11430794,0.18028443,0.25716344,0.33576664,0.40798655,0.46567926,0.5017835,0.51435715,0.5104973,0.50313556,0.5032187,0.5147334,0.53398305,0.55384475,0.5643955,0.5554996,0.5188962,0.4564407,0.38432822,0.32779384,0.30618516,0.31899396,0.34898838,0.37357214,0.37942123,0.36347875,0.33150986,0.29214987,0.25415704,0.22230268,0.19605339,0.17190774,0.14724298,0.12331358,0.10414081,0.094314635,0.09552517,0.105337836,0.11752185,0.12589927,0.1273097,0.12285616,0.11557507,0.108215205,0.10231402,0.098764606,0.09849734,0.10172031,0.10727958,0.11258886,0.11621461,0.12019364,0.13056023,0.15265647,0.18614392,0.222436,0.25010583,0.26118627,0.25577354,0.23906553,0.21744134,0.19491102,0.17348497,0.15397678,0.1369948,0.12357301,0.116345726,0.12064332,0.14241688,0.18335909,0.23569734,0.2842587,0.3138931,0.31891504,0.30403432,0.28085276,0.2598789,0.24853736,0.24939124,0.2629116,0.28650302,0.31560934,0.3450556,0.37333938,0.4061701,0.45024768,0.506442,0.56227726,0.60315585,0.6191271,0.6123259,0.5854426,0.5411139,0.4814501,0.41950706,0.37349758,0.35845068,0.37125763,0.39651248,0.4184266,0.43589008,0.45808077,0.49135542,0.52926445,0.55677795,0.563869,0.5501786,0.5219553,0.48329094,0.43675807,0.3863792,0.339664,0.30254456,0.2752999,0.25279477,0.23112501,0.21216321,0.20399599,0.21368432,0.24141109,0.27910662,0.31700784,0.34892014,0.37219688,0.38346255,0.3796287,0.36439583,0.35252786,0.35997042,0.3884696,0.41772866,0.42298043,0.39648083,0.35940912,0.33881488,0.34496245,0.3599428,0.3633628,0.35259625,0.34585556,0.35752723,0.38201973,0.40178838,0.4058056,0.39857396,0.38576797,0.36632404,0.33595785,0.30408862,0.2935033,0.32234776,0.38544047,0.45557854,0.50752336,0.53375983,0.5441522,0.5481646,0.54560626,0.5285954,0.4914684,0.43912593,0.3853713,0.34526324,0.32339445,0.31270444,0.30267894,0.28973606,0.2788684,0.2745608,0.2754327,0.27417204,0.26586667,0.25045803,0.23227751,0.2152496,0.20115381,0.189754,0.18010354,0.1712627,0.16210411,0.15145342,0.13913639,0.12686586,0.11770069,0.11389173,0.11498823,0.118354924,0.12079117,0.120745726,0.11818555,0.114152975,0.10954962,0.1051639,0.10176769,0.10003308,0.1000201,0.100493886,0.09987339,0.097729884,0.09648741,0.09948907,0.108213805,0.11958147,0.1286351,0.13175572,0.12944251,0.124884315,0.1232641,0.13190402,0.15981859,0.21303189,0.28675655,0.36281025,0.4179254,0.43974197,0.4362732,0.4286077,0.43398735,0.45342183,0.47477877,0.4826658,0.46899572,0.43546358,0.39140713,0.34667632,0.3079495,0.28055075,0.27152297,0.28716955,0.32462022,0.37039378,0.40722224,0.42549518,0.4250776,0.41130376,0.38866147,0.36039576,0.3290949,0.29729772,0.26652628,0.23747796,0.21120654,0.18935935,0.17325306,0.16242795,0.15477037,0.14826559,0.1423379,0.13835585,0.13768935,0.14063813,0.14535731,0.14942513,0.15070869,0.1486016,0.14341669,0.13620098,0.1282686,0.121268846,0.116801016,0.11552256,0.11629062,0.11666585,0.11552465,0.11610671,0.1250295,0.14697087,0.17855941,0.20928901,0.22842366,0.23222645,0.22443588,0.21163549,0.1996053,0.19294953,0.19679873,0.21522121,0.24944842,0.29696834,0.35416386,0.4174551,0.4806764,0.5339124,0.5654332,0.57036185,0.5536081,0.5283583,0.5071897,0.4962847,0.49401352,0.49500418,0.49579152,0.49701342,0.5019434,0.5119751,0.5249667,0.53578264,0.5393903,0.53264517,0.5154761,0.49065503,0.4612676,0.42927897,0.39426124,0.35739103,0.32140782,0.2905946,0.26629964,0.24793787,0.23376553,0.22305663,0.21449156,0.20668824,0.19890748,0.19361342,0.19510736,0.2070679,0.22940671,0.25890732,0.29329368,0.33316016,0.38016465,0.43084514,0.47613955,0.5057406,0.51495045,0.5057866,0.48396912,0.455276,0.4251226,0.39897087,0.38172352,0.3748394,0.37472168,0.37440386,0.36761305,0.35220304,0.32951215,0.30236983,0.27310368,0.24442406,0.21982639,0.20264821,0.19331826,0.1888055,0.18589784,0.185628,0.19424425,0.21734871,0.25373265,0.29304823,0.32283226,0.33529916,0.3315965,0.3176694,0.3004053,0.28396812,0.2702345,0.2590762,0.24953496,0.24075355,0.23323365,0.22980766,0.23447353,0.24943273,0.27185586,0.294239,0.30874982,0.31171346,0.3049499,0.29280743,0.279367,0.26677534,0.25592265,0.246364,0.2367693,0.22509472,0.2103255,0.19338161,0.17719378,0.16503014,0.15862517,0.1573975,0.15881492,0.16020453,0.15982366,0.15735777,0.15345953,0.15079083,0.15584023,0.17877434,0.22737592,0.29826164,0.37507474,0.43856347,0.4821073,0.51360416,0.543452,0.5691741,0.5795792,0.5698156,0.5509915,0.53926605,0.5394032,0.5408406,0.53012496,0.50445366,0.47208548,0.4426383,0.41957942,0.4046394,0.40389848,0.42504668,0.464818,0.5057536,0.52793914,0.5258202,0.50764674,0.4847434,0.46006095,0.43339527,0.40642515,0.38737664,0.38470843,0.40257084,0.43600008,0.47412452,0.5059313,0.5258388,0.53251886,0.52693224,0.51147085,0.4921688,0.47573432,0.4659542,0.46048507,0.4538392,0.44183448,0.425414,0.4108677,0.40341863,0.40123466,0.3951255,0.3795619,0.36176267,0.3567156,0.37364173,0.40447247,0.43233815,0.44200766,0.43159762,0.40798697,0.3815926,0.35874677,0.34299314,0.34061107,0.360751,0.40849754,0.47208226,0.52827775,0.5575803,0.5628695,0.5633399,0.5763542,0.59917504,0.61291033,0.5989917,0.5551134,0.49537304,0.43931198,0.39970282,0.3782858,0.36927104,0.36543015,0.36403844,0.36849567,0.38465264,0.4136791,0.44767225,0.47535968,0.48888886,0.48757145,0.47147858,0.43880478,0.38851854,0.32672003,0.26666263,0.22083832,0.19476004,0.18508144,0.18488924,0.18722576,0.18952544,0.19458972,0.2098791,0.24032657,0.28203568,0.32127562,0.3434442,0.34191072,0.32141408,0.29365155,0.27274203,0.27259,0.30228177,0.36082426,0.4336295,0.5016964,0.55295116,0.58991677,0.62174314,0.652975,0.67634827,0.67864704,0.650588,0.5954315,0.5269448,0.4642011,0.4198114,0.39519426,0.37879348,0.35991284,0.33959833,0.33221662,0.3498805,0.38853812,0.42980328,0.45341027,0.44942963,0.4207087,0.38142395,0.35127318,0.34458765,0.35932636,0.37781683,0.38303658,0.37671876,0.37568355,0.39410493,0.4259304,0.4557909,0.47256887,0.47905564,0.4785817,0.46974412,0.44632018,0.40761164,0.35854447,0.30753177,0.26058012,0.2221272,0.19322366,0.17363025,0.16109209,0.155228,0.15690684,0.16717678,0.18337393,0.20011462,0.21287553,0.22247018,0.23288381,0.24659657,0.25996312,0.26686898,0.26361308,0.25280133,0.240059,0.23008604,0.22405069,0.22069879,0.21820097,0.21502244,0.21005027,0.20220679,0.19159369,0.18034929,0.17354731,0.17610133,0.1893663,0.2080691,0.22383137,0.2300271,0.22610408,0.21564144,0.20519952,0.20402639,0.22632237,0.28317988,0.37217566,0.46938482,0.54323965,0.5730044,0.5616029,0.52700317,0.48878804,0.4591808,0.44207278,0.43484473,0.42907444,0.41594395,0.38982788,0.35479188,0.3217714,0.30804077,0.32331192,0.3662239,0.41797593,0.4588547,0.47363213,0.46176672,0.43057966,0.39567435,0.37345946,0.3729645,0.38852045,0.40149274,0.39474782,0.36304665,0.3160231,0.26855654,0.23185195,0.20863791,0.19546516,0.18745208,0.18225403,0.18112452,0.18632732,0.19794582,0.21262304,0.22742246,0.24358618,0.26658487,0.29943582,0.33763823,0.3701532,0.38739276,0.3861233,0.3694192,0.3416295,0.30701825,0.2694854,0.2343647,0.20727684,0.19281586,0.19377172,0.21260375,0.254928,0.3248494,0.41582635,0.50199735,0.5516634,0.5490057,0.5069462,0.45195603,0.40282986,0.36530027,0.34261084,0.34397736,0.37541744,0.431419,0.4921712,0.5379966,0.5572181,0.55214113,0.53092855,0.5034106,0.4752934,0.45046094,0.4303443,0.4160985,0.4071767,0.40439522,0.40823457,0.41896093,0.4324415,0.443151,0.445822,0.43904567,0.42275098,0.39775074,0.36570847,0.33068982,0.29805687,0.27203873,0.25397328,0.24236782,0.23356009,0.2235039,0.2093647,0.19170696,0.1741674,0.16193081,0.15831752,0.16268377,0.17043085,0.17635377,0.17822117,0.1776421,0.17728816,0.17791857,0.17821115,0.17701691,0.17461236,0.17185062,0.16916947,0.16826326,0.1745482,0.19546187,0.23342724,0.27968946,0.3173335,0.3321238,0.32139668,0.29308686,0.2581968,0.2245666,0.19629107,0.17519636,0.16219586,0.15637812,0.15508969,0.15434992,0.15179724,0.1483782,0.14828308,0.15468197,0.16656162,0.17831482,0.18451989,0.18297999,0.17580567,0.1658927,0.15583995,0.14677949,0.14005016,0.13598563,0.13434358,0.13313283,0.13106859,0.12786086,0.12572117,0.12629507,0.12977463,0.13344659,0.13509153,0.13439532,0.13382511,0.13547677,0.1395217,0.14430197,0.14898616,0.15490437,0.16393495,0.17585708,0.18767397,0.19733407,0.20734434,0.22420366,0.25221345,0.28757086,0.31904873,0.33490178,0.33035657,0.30908558,0.27941206,0.24922423,0.22340555,0.204082,0.1914409,0.18454023,0.18111311,0.17809252,0.17226692,0.1620477,0.14839314,0.13428482,0.12261909,0.11415594,0.10832205,0.10528647,0.10922089,0.12801321,0.17128871,0.24350281,0.33930877,0.44103536,0.5263607,0.5766122,0.58608717,0.56181544,0.5210129,0.48181435,0.45724627,0.45109633,0.46383438,0.4952445,0.54541755,0.6057336,0.66032964,0.68916446,0.6811835,0.63528496,0.5624551,0.47887298,0.40572348,0.36110702,0.35371426,0.37482715,0.40383866,0.42012927,0.41614664,0.3997843,0.39045373,0.40567195,0.44932088,0.5024123,0.53784925,0.5396271,0.51876855,0.49719605,0.4869405,0.47684255,0.44874826,0.3958968,0.33109036,0.27314475,0.23342074,0.21077317,0.19851024,0.19032061,0.18300276,0.17563057,0.16942887,0.16659074,0.16820638,0.17235994,0.17519934,0.17442828,0.1724366,0.1750264,0.18689352,0.20649588,0.22638826,0.2376008,0.23563933,0.2221509,0.20272417,0.18384074,0.1730494,0.17942645,0.21051276,0.26088333,0.3112609,0.33882234,0.34279254,0.34440014,0.36839995,0.4136022,0.45644388,0.47584257,0.47660157,0.48261333,0.51048785,0.5519746,0.581341,0.5799826,0.55053216,0.5123728,0.481859,0.46313962,0.4506105,0.44160017,0.4412273,0.45683908,0.48836854,0.5229702,0.5443306,0.5436538,0.52629805,0.50269514,0.47829965,0.44993854,0.41289404,0.36761734,0.32035103,0.27810442,0.24475282,0.22033232,0.20389546,0.194354,0.19078796,0.19074859,0.19187129,0.19309859,0.19543158,0.19967444,0.20496039,0.20965004,0.21351236,0.21756206,0.2219282,0.2238611,0.2203447,0.21121867,0.20172305,0.19904476,0.20793486,0.22608133,0.24562027,0.25756764,0.25779828,0.24883258,0.24071832,0.24982183,0.2960806,0.38921794,0.5172463,0.6438017,0.731579,0.76313066,0.7490933,0.7090892,0.6555867,0.5920377,0.52449816,0.4699866,0.44571617,0.45793214,0.49257842,0.5279663,0.5439212,0.53415143,0.5036787,0.46718988,0.43881664,0.42623064,0.42821383,0.44045052,0.46052018,0.48720327,0.517193,0.5439141,0.5612839,0.56623286,0.5603451,0.54723763,0.5295295,0.50432897,0.46769658,0.42248574,0.3861766,0.37931105,0.41076759,0.46676996,0.5245543,0.5671835,0.5934765,0.6104395,0.6259349,0.6427703,0.65833974,0.66387296,0.64891523,0.6081972,0.5467078,0.47590926,0.40719083,0.35012564,0.3152318,0.3105819,0.33385167,0.3670096,0.38765097,0.38149306,0.3507072,0.30586427,0.25922546,0.21836956,0.1870811,0.16527742,0.15142731,0.1441579,0.14277445,0.14570159,0.1505035,0.15684807,0.17045946,0.1990658,0.2449703,0.2974988,0.33985388,0.3586962,0.35246494,0.32752466,0.2924039,0.25447255,0.2199056,0.19441243,0.18107776,0.17962255,0.18569754,0.19329418,0.19700809,0.19484109,0.18808047,0.17974888,0.17175406,0.16413988,0.15586157,0.14652224,0.13688439,0.1282623,0.121898465,0.118981145,0.12083631,0.12793934,0.13852875,0.14935344,0.16082299,0.18187638,0.22769976,0.3053765,0.40301895,0.49219617,0.55008006,0.5735331,0.57887864,0.5825127,0.59036726,0.5960198,0.59283996,0.5798645,0.5648052,0.55552983,0.5566843,0.56617576,0.57984203,0.5921505,0.5997999,0.60168797,0.5996834,0.5954427,0.58956474,0.5807278,0.56645876,0.5438762,0.5142258,0.48762193,0.48003754,0.5009858,0.5423178,0.5815924,0.5986747,0.5885737,0.5613845,0.5305273,0.505672,0.49136233,0.49002245,0.5024646,0.5269483,0.558811,0.58896095,0.6048474,0.59463257,0.5554678,0.49683937,0.43513152,0.38285112,0.34356824,0.31412324,0.29090488,0.27146652,0.25456128,0.23853707,0.22261955,0.20661086,0.1912479,0.17734806,0.16651283,0.16048633,0.1600671,0.16351204,0.16811414,0.17340933,0.1844415,0.20724042,0.24312337,0.28197888,0.30951437,0.3147544,0.29974762,0.2738921,0.24770977,0.2263741,0.21397729,0.21861804,0.25016344,0.3107579,0.38670853,0.45577183,0.50420445,0.5347216,0.5599832,0.58242685,0.5939531,0.5824756,0.55002326,0.5081511,0.46991494,0.43740508,0.40474045,0.36706004,0.3283166,0.30154526,0.29847598,0.32313308,0.3671877,0.41853705,0.46406814,0.4961264,0.5094421,0.50468236,0.48604807,0.46226177,0.44060585,0.42391765,0.40815952,0.38892782,0.36931145,0.36070812,0.37281552,0.401806,0.43474865,0.46034873,0.47785786,0.48844966,0.4900888,0.47863224,0.45625317,0.43166804,0.41176823,0.39796838,0.38624159,0.37496364,0.36307883,0.3514266,0.33829328,0.32266784,0.30252147,0.2783265,0.25241584,0.22989428,0.21421677,0.20519328,0.19893219,0.1917545,0.18228681,0.17125535,0.15962695,0.14824381,0.13828988,0.13187583,0.13060725,0.13432144,0.14012565,0.14478938,0.14726532,0.15056978,0.15899266,0.17411582,0.19212104,0.20641099,0.21223818,0.2096852,0.20256265,0.19804822,0.20743917,0.24638958,0.32302165,0.42628157,0.52206165,0.57629466,0.5772491,0.5446449,0.50933844,0.4924183,0.49662343,0.51348436,0.5318723,0.5402453,0.5300568,0.50051373,0.46233216,0.4318721,0.42054656,0.43038097,0.4572294,0.49524918,0.5357511,0.56519824,0.5724101,0.55738837,0.53571343,0.5259502,0.53600144,0.5562841,0.5695389,0.56530553,0.5467836,0.52615577,0.5124536,0.50718665,0.50617903,0.50762486,0.5125551,0.5221815,0.53330445,0.5404783,0.5402345,0.5333248,0.5222738,0.50807244,0.48975453,0.46681583,0.4406385,0.41609538,0.398904,0.394626,0.4030387,0.4193398,0.4354036,0.4459232,0.44922495,0.44569322,0.4354097,0.41768172,0.39377168,0.36795148,0.34644043,0.33426163,0.33193156,0.33619305,0.34062192,0.33957854,0.32935682,0.31103298,0.28920057,0.27034256,0.2591847,0.2564932,0.25856912,0.2590337,0.25264785,0.23807539,0.21809143,0.19684221,0.17740613,0.1610545,0.14820182,0.13907391,0.13395517,0.1323608,0.13338433,0.1367287,0.14498502,0.16260271,0.1914999,0.22622506,0.25455853,0.26521075,0.25483236,0.23026633,0.20198046,0.17816603,0.1609077,0.14954509,0.14310378,0.14150435,0.14280705,0.14419834,0.14501996,0.15069829,0.1677777,0.19732799,0.22962134,0.25187996,0.25617656,0.24529104,0.22684558,0.20784037,0.19092603,0.17662112,0.16550265,0.15898257,0.15768927,0.16018708,0.1632482,0.16508813,0.16653548,0.17043835,0.17738861,0.18512864,0.18964761,0.18889649,0.18318148,0.17430669,0.16566509,0.1641258,0.18233608,0.23103257,0.31034526,0.40196088,0.48195943,0.53421134,0.56073713,0.56996363,0.5662436,0.5465286,0.51195866,0.4743735,0.45035076,0.446884,0.45653024,0.4676921,0.4768515,0.48985335,0.51038057,0.5341635,0.55089337,0.55400294,0.542779,0.5213448,0.49386358,0.46318793,0.4309566,0.40001795,0.37579003,0.36482298,0.36982024,0.3868077,0.40746048,0.42689887,0.44700083,0.4722995,0.50052166,0.5218347,0.526427,0.5140606,0.4936267,0.47587064,0.46945155,0.47544086,0.48829257,0.491285,0.4742709,0.44148803,0.4180833,0.42406335,0.4591042,0.49996927,0.52179193,0.5156415,0.49066117,0.4669764,0.4613855,0.48150063,0.5202387,0.5638402,0.5977936,0.61551136,0.61645293,0.6041911,0.5827453,0.5559164,0.52791166,0.5018656,0.47899637,0.45616484,0.429253,0.3972312,0.36618435,0.34503508,0.3385503,0.3420014,0.34531975,0.34041998,0.3264689,0.307497,0.28865126,0.2764729,0.28172123,0.318812,0.39189526,0.48440543,0.5568843,0.574032,0.5255835,0.4393351,0.3569442,0.31169042,0.30829713,0.33141258,0.35866964,0.37723216,0.38443255,0.38318935,0.373049,0.35274544,0.32551762,0.30428138,0.30579534,0.33757412,0.3912609,0.44345507,0.47293332,0.46948668,0.4398165,0.3964429,0.35152742,0.31111726,0.27756134,0.25070396,0.2296321,0.21329516,0.20090647,0.1916465,0.18415141,0.17706032,0.17034161,0.16626535,0.16850333,0.17933744,0.19710727,0.21579725,0.22833799,0.23055463,0.22332145,0.2107926,0.19772227,0.18777515,0.18341714,0.1850724,0.19031012,0.19479464,0.19725199,0.20343421,0.22433305,0.26615238,0.32279643,0.37855127,0.42176643,0.453112,0.48149076,0.5131115,0.54725283,0.58173746,0.61480314,0.644059,0.66241145,0.6633542,0.6459448,0.6167474,0.58724546,0.5674204,0.5631719,0.5706172,0.5804722,0.581505,0.56913674,0.5439918,0.51075995,0.47514805,0.44744,0.44077802,0.46573564,0.51770765,0.57606554,0.6131592,0.6145459,0.58574146,0.5463161,0.5119188,0.48749438,0.47072867,0.46033,0.45498192,0.4481381,0.43196896,0.40896168,0.3981172,0.41869226,0.4704362,0.52758956,0.5598874,0.55223626,0.51383495,0.46506885,0.4273099,0.4111077,0.419348,0.44582358,0.48167148,0.5133156,0.5301059,0.5262773,0.5045394,0.46898815,0.4225316,0.3674803,0.31096092,0.2640518,0.23716502,0.23353803,0.24824238,0.26971355,0.2861388,0.29014516,0.282254,0.267664,0.2522317,0.23848213,0.22634967,0.21496816,0.20424639,0.19474691,0.18686171,0.18375118,0.19324882,0.22806637,0.2946781,0.38534072,0.47623196,0.5426878,0.57090926,0.5623489,0.52604926,0.47294474,0.4148518,0.3646035,0.33469555,0.33118162,0.34921134,0.3724574,0.382746,0.37346777,0.35714397,0.35637403,0.38640144,0.44329178,0.5090528,0.56464845,0.59817594,0.6049469,0.58504826,0.5456216,0.49973145,0.4617374,0.4370478,0.4207579,0.40217432,0.37509012,0.34104598,0.30711576,0.27992353,0.26171705,0.25065517,0.24271376,0.23477893,0.22526105,0.21418728,0.20231189,0.1914674,0.18452846,0.18434604,0.1913536,0.20261867,0.21355413,0.22152056,0.22713637,0.23271607,0.2388855,0.2438599,0.24486358,0.24077493,0.23243882,0.22162081,0.2097963,0.19869663,0.19167656,0.19280034,0.20377569,0.22027017,0.23450182,0.24146505,0.24559915,0.2569364,0.28267992,0.31865424,0.35338888,0.37581885,0.38299295,0.3776029,0.3645107,0.3477954,0.33249187,0.3236765,0.3234367,0.32726467,0.32739726,0.3195872,0.30899608,0.3050188,0.31342867,0.32956716,0.34433326,0.35036084,0.34733948,0.33779132,0.3245825,0.30938295,0.29441825,0.28273904,0.27643767,0.27521065,0.27609125,0.27706686,0.28081486,0.29363033,0.31946233,0.35257795,0.38107625,0.39491293,0.39446953,0.3865671,0.37702683,0.36693385,0.35772666,0.3571758,0.37315664,0.40455592,0.43663728,0.45763734,0.47053158,0.49556723,0.5490958,0.63112694,0.721438,0.7950961,0.83474106,0.8394423,0.8203122,0.79355365,0.77181894,0.76272696,0.7680389,0.78539914,0.8080056,0.8263843,0.8322157,0.82209045,0.8011961,0.7798713,0.76845366,0.7691651,0.7764676,0.7818162,0.7811342,0.7738891,0.7589636,0.73220235,0.6932351,0.6509674,0.61929554,0.6045727,0.5985781,0.5895914,0.5759135,0.57060605,0.58379644,0.60933524,0.6227433,0.6034732,0.552381,0.49717414,0.47309265,0.49844608,0.5618642,0.6300909,0.67427486,0.68516415,0.67542845,0.6611648,0.65219545,0.6483019,0.64691526,0.6457768,0.64431185,0.6417814,0.6381392,0.63404936,0.6314396,0.6315851,0.63407373,0.636401,0.6354844,0.62972283,0.6185413,0.60249615,0.5805317,0.5526176,0.51803666,0.47877872,0.4357785,0.3921484,0.350225,0.3137233,0.28368178,0.25974724,0.24039876,0.22643758,0.22029631,0.22382309,0.23447287,0.24654333,0.25467786,0.25935718,0.2646453,0.27445647,0.28620943,0.29433143,0.2935054,0.28423086,0.26983106,0.25575548,0.24878903,0.26054332,0.3041997,0.38448498,0.48755702,0.5845907,0.65129566,0.6842506,0.6991777,0.71212405,0.7259825,0.73362774,0.7293206,0.7154033,0.69731903,0.6779054,0.654517,0.6248124,0.5924802,0.56820804,0.5611785,0.5697885,0.5815422,0.5824378,0.5664471,0.5376348,0.50526524,0.48001465,0.46960965,0.47893944,0.5072503,0.5493529,0.59370786,0.6265741,0.635849,0.6201431,0.5873253,0.54951286,0.5109486,0.4706973,0.42917475,0.39471313,0.3757622,0.37117025,0.37061617,0.36299455,0.34504583,0.3194246,0.2919073,0.269451,0.26229513,0.2817345,0.33352065,0.4108156,0.49492082,0.5656386,0.61232585,0.6374073,0.6494217,0.6549856,0.6554822,0.6501921,0.63971853,0.62599164,0.61008245,0.5911718,0.57054716,0.5533259,0.5468545,0.5514884,0.55822045,0.5526741,0.527,0.4842534,0.43490496,0.3882641,0.34841004,0.31598985,0.2918478,0.27741158,0.27184224,0.26952,0.2653543,0.26249772,0.27669632,0.32287717,0.39882016,0.4765683,0.51963544,0.5068812,0.44689074,0.36827993,0.29790488,0.24669878,0.21068116,0.18310897,0.16115385,0.14557202,0.13649142,0.13285698,0.13434488,0.14172967,0.1553274,0.1723906,0.18871494,0.2016859,0.21489878,0.2343814,0.26338652,0.2956512,0.32133934,0.3337123,0.3352851,0.33215412,0.32818186,0.32223925,0.3117341,0.2964706,0.27807674,0.25825825,0.2368418,0.21512163,0.19782405,0.19330384,0.20662296,0.23455648,0.26515695,0.28611258,0.2918116,0.28526065,0.27257726,0.25796497,0.24228613,0.2251944,0.20744254,0.19064152,0.17690079,0.16848828,0.16983818,0.18611073,0.21898861,0.26074225,0.2960024,0.31014097,0.29889238,0.2690913,0.23260032,0.1984151,0.17027676,0.14760888,0.12871562,0.11231482,0.09832772,0.08729858,0.08032856,0.079393506,0.08726132,0.105505325,0.13171911,0.15890773,0.17894454,0.18738194,0.18550813,0.17793612,0.16874063,0.15947925,0.15027525,0.14167744,0.13534163,0.13278814,0.13505043,0.14350642,0.16165493,0.19191974,0.23178776,0.2707281,0.29706132,0.30456412,0.29705703,0.28296545,0.2715149,0.27159905,0.29442558,0.34898117,0.43091378,0.51521057,0.56692004,0.56626844,0.5253082,0.47820628,0.45381323,0.45711794,0.4752295,0.49342442,0.50483924,0.504864,0.48880532,0.4550558,0.41479263,0.38797697,0.39040408,0.41903648,0.45479596,0.47768608,0.48136893,0.47364566,0.4658383,0.46404812,0.46699905,0.47099575,0.47206995,0.46866325,0.4609069,0.4537377,0.45348492,0.46479765,0.48351434,0.5009218,0.5093375,0.5090082,0.5040789,0.4979576,0.49106288,0.4830396,0.47401738,0.46385303,0.45211068,0.4391483,0.42670357,0.41655874,0.4103332,0.40971217,0.4206215,0.44930053,0.49605653,0.54316086,0.56165683,0.53017247,0.45722532,0.3787811,0.33246267,0.33018574,0.35180792,0.36485794,0.34873793,0.30592862,0.2536113,0.2088239,0.17959006,0.16627309,0.16582733,0.17420317,0.1856745,0.1942275,0.19563305,0.1895592,0.17842086,0.1654283,0.15289356,0.1419215,0.1328804,0.12564361,0.11998258,0.11584223,0.11391685,0.115905404,0.12326143,0.13580187,0.15061091,0.16445054,0.17615938,0.188078,0.20262934,0.21942641,0.23566413,0.25242415,0.27891365,0.32798937,0.40435302,0.49570528,0.57832336,0.63024694,0.6444933,0.6290206,0.6009788,0.5752401,0.5586471,0.54805225,0.53700775,0.5219305,0.50454694,0.4870532,0.4681053,0.4430687,0.40915522,0.3682398,0.32641196,0.2901599,0.26405707,0.24877685,0.24150343,0.2377763,0.23592007,0.23939466,0.2538499,0.28025568,0.31058872,0.33384904,0.3461481,0.35778156,0.38281474,0.42592776,0.47266117,0.5037542,0.50955266,0.50058633,0.4930892,0.4964098,0.5030454,0.50149053,0.48753807,0.47591317,0.48727784,0.533202,0.59981555,0.6598463,0.69137263,0.69502157,0.68599033,0.6794974,0.68052936,0.68826705,0.70065814,0.71591425,0.7286575,0.7329169,0.7247216,0.705555,0.67771244,0.6440673,0.60945374,0.5842228,0.57774395,0.58991534,0.60837674,0.61998457,0.6208015,0.6175845,0.61735684,0.62180084,0.6260769,0.624224,0.61166626,0.5910428,0.5722118,0.5691061,0.5856735,0.61155254,0.62598807,0.6182456,0.5934313,0.5694098,0.5555187,0.54871446,0.53568363,0.50792855,0.46317923,0.40574375,0.34305033,0.28667274,0.24812873,0.23301007,0.23638703,0.24721313,0.2550613,0.25575575,0.25002775,0.24045213,0.22864932,0.2150635,0.2001716,0.18472904,0.16996711,0.15649451,0.1452502,0.13791876,0.13788237,0.14764534,0.16642325,0.1883952,0.20614624,0.21467592,0.21432109,0.20876147,0.20362656,0.20684606,0.23052561,0.2864304,0.37571725,0.4822018,0.5789886,0.64626366,0.6815603,0.69625217,0.70112944,0.70028526,0.6934235,0.6828265,0.67374915,0.6702363,0.67159575,0.673466,0.6724251,0.6683056,0.66157514,0.6482442,0.61896473,0.56935734,0.5106954,0.470461,0.4709325,0.50915,0.5540206,0.5710135,0.54708683,0.4965606,0.4445721,0.405895,0.3795432,0.3553703,0.32754818,0.2971285,0.2698544,0.24947941,0.23712726,0.23331831,0.23893209,0.25374156,0.2724366,0.28708255,0.2905341,0.2820284,0.2653308,0.24628328,0.22896379,0.21606775,0.20938341,0.20985754,0.21646453,0.22544785,0.23228389,0.23401816,0.23146635,0.22755061,0.22519206,0.22457828,0.22405088,0.22117704,0.21564734,0.20979778,0.2111014,0.2307291,0.280749,0.3632264,0.46481785,0.5592065,0.62420994,0.65557486,0.667356,0.67828685,0.69656396,0.71819013,0.7325087,0.7324577,0.7177337,0.69491893,0.67229795,0.6542898,0.6410138,0.6304453,0.6212705,0.60722446,0.57899433,0.5322423,0.483194,0.4606644,0.48682776,0.5535092,0.6314926,0.68790483,0.707263,0.6880111,0.63916,0.57370305,0.5073802,0.45250666,0.4128646,0.38491246,0.36284497,0.34504366,0.33383203,0.3335261,0.34453627,0.36231712,0.3780763,0.38537142,0.382242,0.3718178,0.3585728,0.34796417,0.34556365,0.35729384,0.386628,0.43357325,0.4923222,0.55375385,0.60678154,0.64400005,0.6625118,0.66529506,0.6577099,0.6458912,0.6347262,0.6271189,0.6237915,0.6232376,0.6247001,0.6294194,0.6403072,0.6574621,0.6759816,0.6885863,0.69088244,0.68423367,0.6721557,0.6553793,0.6295669,0.5892555,0.5331935,0.46719983,0.40074357,0.34232163,0.29806027,0.2758321,0.2870861,0.33750188,0.41597733,0.491743,0.53564405,0.5381396,0.51649827,0.49423173,0.48542,0.4873482,0.4912281,0.4901708,0.48287675,0.47104523,0.45709682,0.44367036,0.43269816,0.42508134,0.41966116,0.41438988,0.4079064,0.40078828,0.3966731,0.39896154,0.4091864,0.42140985,0.4270887,0.41890475,0.40115264,0.3856835,0.38480422,0.39908144,0.41875136,0.4315786,0.43181384,0.41955066,0.39676812,0.36657622,0.33790645,0.32606196,0.34433004,0.39239362,0.45151362,0.49469915,0.5017914,0.47191632,0.42039227,0.3668344,0.32253084,0.28812417,0.26005793,0.23655933,0.21836565,0.20506132,0.19417924,0.18326922,0.17294787,0.1661195,0.1649156,0.16772358,0.17033781,0.16896154,0.16270673,0.15356423,0.14687899,0.15219627,0.1817049,0.24164788,0.32474196,0.40967909,0.47449932,0.5071905,0.51046693,0.49468347,0.47247306,0.45344472,0.4400721,0.42646277,0.4019532,0.36204925,0.31298652,0.26872408,0.23953311,0.22606681,0.22094841,0.21610646,0.20780282,0.19753277,0.18949503,0.1875726,0.19258499,0.20148201,0.20880757,0.20994006,0.20360033,0.19186515,0.17813067,0.16611554,0.1609029,0.17101489,0.20566249,0.2682697,0.34987232,0.4321691,0.496905,0.53560287,0.5497425,0.5448403,0.5241222,0.48741293,0.43575,0.37484303,0.315488,0.26681086,0.23266542,0.21179819,0.20237185,0.20288134,0.20950747,0.21658534,0.21965773,0.21997505,0.22133951,0.2256494,0.22943722,0.22773226,0.21841519,0.20426059,0.18988901,0.17833866,0.16990273,0.16358702,0.15913361,0.15710258,0.15785347,0.16025132,0.16260855,0.16443872,0.16758186,0.17445451,0.18534358,0.19706792,0.20486635,0.20548256,0.19897003,0.18789977,0.17532146,0.16356973,0.15412575,0.14807479,0.1456594,0.14587988,0.14678742,0.14701031,0.14719571,0.14915204,0.15382719,0.15922174,0.16191357,0.15947104,0.15270759,0.14440812,0.13715458,0.13167514,0.12758562,0.12514417,0.12579682,0.13077314,0.13893366,0.14695378,0.15181613,0.15358667,0.15493448,0.15850358,0.16400313,0.16881235,0.16991813,0.1664496,0.15937829,0.1506571,0.14195359,0.13466604,0.12984051,0.12782823,0.12803768,0.1299336,0.13464119,0.14563042,0.1656553,0.19321436,0.22119896,0.24207564,0.25338137,0.2588178,0.2630261,0.26635218,0.26621243,0.2612142,0.25462508,0.25041458,0.24998994,0.25012645,0.24743603,0.24089926,0.23304541,0.22642152,0.22175473,0.2173177,0.21120709,0.20247239,0.191642,0.17991005,0.16907215,0.16154341,0.16005151,0.16624723,0.17887312,0.1937189,0.20581539,0.21271966,0.21539922,0.21625368,0.21626644,0.21418317,0.20833476,0.19839568,0.1860522,0.17361283,0.16407041,0.16158263,0.17277692,0.20352308,0.25507244,0.3198118,0.38534912,0.43939373,0.4762077,0.4937812,0.49175325,0.46856558,0.4266703,0.3747321,0.3262433,0.29073015,0.26820755,0.25074276,0.23013599,0.20430888,0.1768893,0.1532547,0.13618225,0.12597424,0.12230038,0.12597144,0.13760345,0.15497436,0.17221467,0.18248732,0.18214446,0.17241482,0.15753138,0.14162187,0.1270601,0.11490513,0.10562506,0.09927097,0.09501686,0.091717295,0.088950984,0.088537715,0.09315582,0.10444978,0.12002041,0.1351692,0.14498194,0.14794688,0.14511546,0.13888155,0.13103364,0.12286201,0.11613094,0.11246154,0.11279725,0.11544732,0.118025266,0.11865791,0.118543856,0.12022116,0.12572421,0.13411017,0.14216013,0.14665072,0.14654894,0.14328511,0.13918336,0.1362696,0.13573386,0.13763358,0.14065595,0.14269422,0.1435327,0.14629231,0.15638874,0.17643385,0.20320386,0.22834392,0.24415664,0.24764192,0.24149919,0.23050064,0.21903343,0.2093076,0.20254432,0.19860317,0.19678068,0.19505595,0.19215047,0.18812548,0.18570441,0.18757206,0.1942846,0.20237933,0.20698066,0.20498061,0.19715898,0.18668418,0.17647259,0.1677462,0.16065486,0.1554342,0.15273696,0.15201497,0.15122683,0.14747344,0.14097184,0.13559937,0.13692011,0.146522,0.16017859,0.17097591,0.17453635,0.17185307,0.16634807,0.1602767,0.1521724,0.13881035,0.11821982,0.09221973,0.065782905,0.04463627,0.03326481,0.034668867,0.04957968,0.074006565,0.0980001,0.11028319,0.10668204,0.09343911,0.0810678,0.07487776,0.073297866,0.0743789,0.08082511,0.09601974,0.116917156,0.13571134,0.15119426,0.17605297,0.22737558,0.30843964,0.40039158,0.47535446,0.5147483,0.5179474,0.49406564,0.45245728,0.39876938,0.3380867,0.27763718,0.2258497,0.18893635,0.16685681,0.15410627,0.14395209,0.13515949,0.13116741,0.13563736,0.14513731,0.1519239,0.14864446,0.13486479,0.11485744,0.09484461,0.07987097,0.07423541,0.08118519,0.10073664,0.12792939,0.15359293,0.16931634,0.17118305,0.16046429,0.14055322,0.11506293,0.08757032,0.06213687,0.042218417,0.029265868,0.022798577,0.0231466,0.033998325,0.061947778,0.10967971,0.17043436,0.22708328,0.26314664,0.27150157,0.25933307,0.2405556,0.22839071,0.22845466,0.23839052,0.2515917,0.2619653,0.26751554,0.26884308,0.26771405,0.26546702,0.26365757,0.26309264,0.263126,0.26240548,0.26233605,0.26999286,0.29430926,0.3385388,0.39291772,0.43980905,0.463141,0.45862567,0.43157864,0.3916113,0.34650078,0.302498,0.26509383,0.23869382,0.2242455,0.21814118,0.21456693,0.20944078,0.2030289,0.19806558,0.19624563,0.19571508,0.19290425,0.1852836,0.17339022,0.15963626,0.14682794,0.13713934,0.13256036,0.134328,0.14185487,0.15147151,0.1583245,0.15898879,0.15374601,0.14509888,0.13567233,0.12654532,0.11773727,0.10899421,0.100307025,0.091901414,0.08488107,0.08268715,0.09235683,0.12181125,0.17312926,0.23662345,0.29285046,0.32414412,0.32503608,0.3060703,0.28411344,0.2732049,0.27576283,0.28665233,0.297466,0.30400538,0.30545938,0.30333564,0.29851794,0.2916652,0.28342876,0.27467385,0.26610622,0.26002696,0.26201928,0.28190497,0.32605746,0.39108273,0.4592727,0.5100661,0.52891946,0.5144611,0.47227,0.412029,0.34520182,0.2846635,0.24026053,0.21447937,0.20260598,0.19777153,0.1963767,0.20082833,0.21529503,0.2406236,0.26924932,0.2898406,0.29267818,0.2763883,0.24585588,0.2099684,0.17659086,0.1515972,0.13712962,0.13280804,0.13597144,0.14355992,0.15294765,0.16402693,0.17868042,0.19879824,0.22249062,0.24372728,0.25511217,0.2521461,0.23565064,0.21097578,0.18599027,0.16751583,0.15970294,0.16289292,0.17437495,0.18873735,0.19982934,0.2045445,0.20584829,0.21142115,0.22708213,0.25108278,0.27427474,0.28591016,0.2800059,0.2574026,0.22427715,0.1887093,0.15837732,0.13877942,0.13222902,0.1368734,0.1470999,0.15666954,0.16280992,0.16876467,0.17992653,0.19869274,0.22022702,0.23700382,0.24372089,0.24190253,0.23600481,0.23008926,0.22496013,0.22120057,0.22060412,0.22580707,0.23656805,0.24939533,0.26041153,0.26986977,0.28107,0.29601753,0.31115165,0.32033727,0.32022345,0.31389776,0.3078486,0.306771,0.31072453,0.31637695,0.3205974,0.32160807,0.31881168,0.31126222,0.29971862,0.28778425,0.28227922,0.28757736,0.302409,0.31922135,0.33119428,0.3365707,0.33897385,0.34152612,0.3429389,0.33942613,0.3293253,0.3162967,0.30553305,0.30044436,0.30018297,0.30349052,0.30932692,0.3174054,0.32481286,0.32828847,0.32691047,0.32587376,0.332301,0.34932533,0.37053534,0.38541254,0.38716224,0.38006333,0.37310758,0.37245277,0.37517163,0.37648448,0.3758339,0.37842655,0.3876244,0.39970168,0.40750346,0.4074591,0.4037389,0.4015187,0.40086818,0.39553285,0.38121784,0.36079967,0.34232032,0.33083513,0.32457125,0.31880033,0.31144705,0.30526954,0.3026257,0.30271676,0.30071944,0.29421303,0.28496563,0.2785511,0.2774147,0.28019288,0.28346965,0.2888016,0.29749998,0.30858567,0.31375217,0.3130597,0.31737483,0.34719265,0.40905252,0.4887143,0.55714303,0.5925791,0.5929454,0.57265574,0.54988414,0.5339606,0.5234005,0.51070213,0.49090925,0.46510634,0.43669307,0.40770426,0.37804267,0.35350564,0.3461884,0.36804447,0.4166995,0.4727331,0.51176286,0.51992065,0.5010207,0.46733677,0.43079844,0.3961755,0.36392212,0.33236805,0.30156353,0.2732264,0.2492343,0.22973466,0.21360397,0.20129572,0.19451058,0.19451691,0.19902378,0.20424862,0.20672284,0.20582612,0.2021292,0.19727391,0.19305922,0.19235362,0.19693287,0.20601083,0.21438386,0.21669073,0.21193592,0.20788288,0.21502028,0.23884523,0.2728661,0.3048316,0.32478058,0.3314754,0.3279667,0.31731838,0.30116633,0.28315052,0.26975223,0.26676667,0.27470386,0.28714916,0.29464176,0.28990436,0.27258337,0.24857444,0.2263451,0.21078016,0.20150715,0.19455911,0.18706264,0.17853765,0.17037512,0.16501558,0.16898322,0.19572963,0.26225162,0.37476918,0.51567215,0.6448315,0.72396845,0.7405987,0.7146921,0.6782859,0.65311974,0.64077,0.6307885,0.61261994,0.58325946,0.548438,0.5189609,0.50378317,0.50342757,0.5097013,0.5118092,0.5041409,0.48817396,0.47084388,0.45959774,0.46054578,0.47522354,0.5022339,0.53614706,0.5695658,0.5915425,0.5922215,0.5665819,0.520594,0.4677421,0.42355728,0.3949885,0.38036585,0.37206075,0.36605516,0.36286107,0.36646596,0.37937513,0.4025738,0.43540487,0.4756813,0.5171345,0.5517511,0.57218736,0.57592815,0.5600006,0.5227496,0.4676009,0.41517773,0.39340904,0.41858292,0.47419524,0.52222514,0.53015846,0.4941698,0.43513858,0.37656912,0.32943925,0.2905767,0.25514773,0.2224263,0.19685511,0.18138766,0.17499107,0.1726634,0.17001037,0.16605712,0.16366203,0.1656468,0.17192502,0.17869799,0.18168141,0.17832927,0.16916789,0.15619071,0.14249246,0.13143593,0.12722564,0.13289513,0.14860192,0.16949128,0.18840288,0.19967951,0.20355618,0.2043383,0.20690472,0.21197575,0.21731229,0.21965753,0.21816576,0.21326761,0.20626236,0.19775195,0.18907458,0.18176883,0.17751865,0.17607659,0.17599864,0.17568056,0.17588794,0.17863967,0.18533726,0.1937965,0.19978948,0.19934697,0.19208163,0.18034095,0.16773808,0.15712674,0.15102138,0.15242682,0.16375758,0.18455303,0.20923518,0.23037171,0.2429862,0.24828488,0.25041896,0.25273016,0.25459316,0.25395644,0.24913798,0.24071087,0.22974002,0.21768455,0.2057129,0.1958078,0.1898249,0.18855436,0.19039065,0.19251598,0.19313367,0.19336396,0.19569689,0.20123678,0.2074275,0.21012574,0.20627533,0.19628215,0.18256773,0.1679613,0.15458523,0.1447742,0.1418369,0.14878036,0.1658001,0.18864779,0.21286945,0.24028485,0.28075656,0.34117785,0.41101745,0.46401492,0.47862002,0.46115902,0.4388217,0.43731976,0.45833817,0.48830643,0.51033735,0.5147641,0.4949746,0.45200166,0.4002668,0.36652163,0.3726554,0.41739202,0.4769349,0.5226711,0.5419081,0.54008085,0.53166145,0.5251276,0.5212258,0.5158129,0.5093091,0.5048475,0.506191,0.51112455,0.51694083,0.522327,0.5306363,0.54196376,0.5505437,0.5457924,0.5209765,0.47938785,0.43170533,0.38951504,0.35762033,0.33497396,0.31764564,0.30381766,0.2948222,0.29329973,0.29995635,0.31133428,0.3224034,0.33028254,0.33611023,0.34196177,0.34681916,0.34701988,0.33964995,0.32676563,0.3130429,0.30270135,0.29580238,0.29115435,0.28842327,0.28926864,0.29372516,0.298154,0.29717317,0.28836036,0.27544603,0.26534936,0.26298308,0.2670119,0.27169597,0.27140722,0.2644904,0.25280622,0.23916756,0.22561063,0.21400315,0.20620762,0.20335841,0.20409681,0.20714766,0.21441935,0.23362923,0.27156222,0.32731673,0.387954,0.43827954,0.46970758,0.48668623,0.49811187,0.51075894,0.5234104,0.5325105,0.53628916,0.53632927,0.5323966,0.5173859,0.48363733,0.4328173,0.38398433,0.36017194,0.37075284,0.40015984,0.42037895,0.4109318,0.37130356,0.31657147,0.264343,0.22534984,0.20161499,0.19019656,0.18696444,0.18799138,0.19044344,0.1929543,0.19724177,0.20601182,0.22045012,0.23687088,0.24942417,0.25376508,0.25051746,0.24285366,0.2335371,0.22291267,0.21070547,0.1976761,0.1858917,0.1770906,0.1711533,0.16735591,0.16655558,0.17278154,0.18954527,0.21571358,0.24346542,0.26342347,0.26995054,0.2641934,0.25097334,0.23625648,0.22565968,0.22526918,0.23979561,0.2696025,0.30890247,0.34860528,0.381675,0.40676346,0.42770383,0.4498786,0.4760112,0.50397855,0.52737015,0.5393637,0.53702146,0.5237965,0.50872225,0.5011835,0.5061386,0.51991445,0.5341478,0.5398452,0.5334094,0.5154928,0.49011686,0.46076727,0.42930278,0.39509282,0.35735783,0.3174269,0.2791321,0.24668334,0.22281255,0.20904152,0.20696627,0.21691751,0.23626566,0.2581925,0.27584228,0.28554335,0.28851226,0.2875189,0.2841651,0.27863714,0.27148727,0.26552132,0.26396823,0.26842955,0.2771349,0.28800485,0.30175745,0.3215188,0.3481656,0.3758695,0.3960962,0.40336883,0.40079227,0.39433607,0.3882899,0.38031474,0.3670771,0.34709463,0.32411173,0.3025297,0.28593516,0.27660978,0.27915648,0.29942337,0.33946547,0.39272687,0.44606522,0.48900113,0.51855093,0.5397323,0.5560699,0.5683561,0.5717783,0.56432825,0.5450606,0.51618016,0.4771268,0.42794946,0.37424132,0.3337331,0.33355162,0.39313486,0.50797176,0.6442587,0.760156,0.8274556,0.84542054,0.8293733,0.79942614,0.76869386,0.7436258,0.72242284,0.7002773,0.6725197,0.6400226,0.6068105,0.5775273,0.55300695,0.5323804,0.51559174,0.50730056,0.51490116,0.54379344,0.5907521,0.64309305,0.6838629,0.70098853,0.69147915,0.6610835,0.6209812,0.58611256,0.5702417,0.57892424,0.6046214,0.6310063,0.6421664,0.6317707,0.60519165,0.57777905,0.5654068,0.5759093,0.60228866,0.6280379,0.6359486,0.61965615,0.5854676,0.5492789,0.5245995,0.5159871,0.51667017,0.51653415,0.5092207,0.49706984,0.4892622,0.49554214,0.5191006,0.55373234,0.5878832,0.61271393,0.62600476,0.63130707,0.6323221,0.6310361,0.62763065,0.623116,0.6191221,0.61574864,0.60829765,0.5874958,0.5473923,0.49445143,0.45033333,0.43672457,0.4583039,0.4944496,0.5158443,0.5052015,0.46903446,0.4267185,0.39240336,0.365715,0.33865044,0.30817103,0.27978203,0.26019052,0.2499911,0.24439438,0.24031402,0.23945896,0.24494654,0.2557989,0.26620048,0.27012232,0.2653241,0.2535172,0.23733042,0.2189051,0.2003008,0.1839354,0.17159395,0.16321486,0.15741122,0.15330638,0.15240763,0.15831934,0.17361103,0.19635159,0.21931104,0.234275,0.236643,0.22766435,0.21188818,0.19461374,0.17987669,0.17032917,0.1667453,0.16842079,0.17341805,0.18040095,0.18964614,0.20422839,0.22643347,0.25485396,0.2818725,0.29947603,0.30392408,0.29883328,0.29003814,0.281819,0.2751024,0.27012232,0.26781335,0.26942775,0.27492073,0.28272247,0.2913544,0.3013671,0.31510913,0.33416605,0.35601076,0.3742771,0.38219294,0.37754142,0.3633596,0.3452468,0.32863572,0.31940284,0.3267013,0.35913876,0.41764393,0.48795685,0.54853505,0.5841112,0.5967994,0.5996978,0.6040485,0.6132593,0.62710285,0.64788,0.67642784,0.70631033,0.7231481,0.71391034,0.6791696,0.6320491,0.58953375,0.55290836,0.51483077,0.4706978,0.44090295,0.45114338,0.51293707,0.603082,0.68798894,0.7432029,0.76714325,0.76497144,0.73965234,0.6894216,0.6159809,0.527952,0.43773827,0.35756242,0.29437223,0.2515434,0.22914924,0.22867708,0.2502967,0.29168943,0.34349227,0.39498496,0.43821323,0.47379425,0.50477195,0.53395224,0.5589149,0.57829237,0.59113044,0.6008599,0.60869443,0.6147252,0.6144633,0.60390323,0.57992935,0.5424816,0.49352384,0.43848017,0.38797307,0.3568976,0.35782668,0.39134774,0.44204935,0.48621163,0.50651455,0.5007432,0.47743,0.44541606,0.4090365,0.37190166,0.33995524,0.31941172,0.31033403,0.3065726,0.29991546,0.28690267,0.26913354,0.2507556,0.23462643,0.22192252,0.21322626,0.20918687,0.21000852,0.21402502,0.21813746,0.21924806,0.21664023,0.2120223,0.20782566,0.20474274,0.20132981,0.19572473,0.18765505,0.17869043,0.1711989,0.16852409,0.1771891,0.2079883,0.2703288,0.3620861,0.46317625,0.54377,0.58219844,0.57862335,0.5523352,0.5254689,0.50937253,0.50175005,0.49518737,0.48547706,0.4734139,0.4623247,0.4532567,0.446273,0.4390672,0.42914844,0.41111252,0.38200143,0.34496406,0.31471714,0.30917433,0.33669618,0.38493633,0.4273241,0.44198862,0.4267753,0.39807296,0.37377682,0.35998642,0.34955737,0.3322321,0.30340192,0.26568195,0.22561854,0.19010122,0.16512471,0.15567945,0.16371317,0.18670397,0.21579464,0.24046111,0.2525179,0.25111213,0.2400514,0.22615778,0.2163794,0.21925344,0.2415616,0.28547275,0.34418604,0.40594292,0.4588467,0.49687257,0.5199445,0.53194016,0.5370462,0.5377886,0.5345485,0.5266754,0.512677,0.49280322,0.4703008,0.45119604,0.43867108,0.42891753,0.41350433,0.38562086,0.34549093,0.29921165,0.25629142,0.22511011,0.21003634,0.20888174,0.21500511,0.2208726,0.22197127,0.21761625,0.21125193,0.21029298,0.22435264,0.26017627,0.31568673,0.37897265,0.4342815,0.4704781,0.48512164,0.48220456,0.46666178,0.44182613,0.40998387,0.37623012,0.3475198,0.32924476,0.3193712,0.3110775,0.2980502,0.28077555,0.26343936,0.24996507,0.24005342,0.23173784,0.22376175,0.21676733,0.211641,0.20737916,0.20179562,0.19300674,0.18147676,0.1689849,0.1574583,0.14808302,0.14206515,0.14105172,0.1461811,0.1564746,0.16822009,0.17685811,0.17985928,0.17845494,0.1763925,0.17706503,0.1812519,0.18729468,0.19273794,0.19596402,0.1964295,0.19458388,0.19152652,0.18925428,0.18962686,0.1934781,0.19930983,0.20469464,0.2078352,0.20971216,0.21238999,0.21711552,0.22185014,0.22327362,0.2188559,0.20925087,0.19701004,0.18514854,0.17553623,0.16906698,0.16601188,0.16620201,0.1684847,0.17069386,0.1715266,0.17334805,0.18270342,0.20528324,0.24008472,0.27779987,0.3076326,0.3239188,0.32827324,0.3248963,0.31692964,0.30582413,0.29303816,0.28059354,0.2699888,0.26135084,0.25455305,0.2512044,0.25650737,0.27464867,0.3043375,0.3341532,0.35065806,0.34534308,0.32152292,0.28797057,0.25371233,0.22272097,0.19568121,0.17130405,0.14852454,0.1270326,0.10797042,0.09386229,0.0883877,0.095281936,0.11495999,0.14223163,0.16628589,0.17746322,0.17229809,0.1557009,0.13533475,0.11716798,0.10287565,0.09181228,0.082817346,0.07537583,0.06928101,0.06466216,0.06313822,0.069455266,0.09031259,0.12882356,0.17894353,0.22594553,0.2553434,0.26134035,0.24891956,0.22734658,0.20422417,0.1828476,0.1640219,0.1476454,0.13366826,0.122044824,0.11337933,0.10969034,0.11527031,0.13366799,0.16390727,0.19688565,0.22035795,0.22562213,0.21366197,0.19174944,0.16799802,0.14642471,0.12767415,0.11104857,0.09634381,0.0838319,0.073853225,0.06633787,0.06078547,0.05630747,0.051906705,0.046754003,0.04051974,0.033495072,0.026445383,0.020307818,0.016260311,0.01671193,0.02645298,0.051892925,0.09692502,0.15801094,0.22339761,0.27853155,0.31387803,0.32852507,0.32827508,0.319912,0.30851996,0.29634866,0.28540266,0.27634028,0.26914644,0.2616197,0.25218478,0.24024667,0.22707595,0.21396893,0.20208609,0.19278856,0.1887406,0.1931606,0.20699008,0.22640443,0.24372287,0.25265682,0.25264993,0.24885452,0.24692214,0.24853341,0.2511535,0.25205114,0.2519348,0.25405064,0.26026902,0.26861876,0.2760781,0.2837945,0.2969146,0.32008338,0.34953138,0.3760097,0.3892714,0.38765255,0.374966,0.358348,0.3413975,0.32596835,0.3122575,0.30103365,0.292524,0.2864898,0.2827213,0.28276765,0.2906693,0.31041947,0.34140715,0.37558326,0.4011004,0.4093692,0.40001273,0.37891343,0.35274282,0.32491577,0.29596347,0.26608336,0.23705594,0.21162355,0.19220328,0.1799633,0.17552458,0.17872451,0.18811572,0.2001642,0.21086073,0.21727292,0.2185917,0.21509774,0.20772834,0.1979527,0.1878389,0.17916138,0.17229696,0.16680132,0.16393639,0.1691833,0.19082387,0.23251922,0.2875123,0.33898863,0.37157544,0.3795494,0.36924636,0.35070685,0.33175448,0.31547228,0.30258587,0.29357532,0.2878561,0.28325197,0.27537096,0.26196566,0.24462414,0.22900845,0.2191403,0.2147456,0.21172255,0.20668687,0.19945449,0.19186462,0.18533976,0.17931794,0.1725167,0.1640061,0.15404679,0.14369917,0.13439284,0.12784074,0.1257418,0.1302529,0.14258504,0.1620583,0.18410106,0.2024139,0.21163453,0.21086188,0.2027153,0.1911451,0.17872058,0.16621126,0.1533624,0.14008377,0.1272514,0.11643823,0.10929652,0.10692755,0.109998904,0.11833546,0.1303892,0.14290191,0.15243584,0.15704702,0.15708832,0.15403335,0.14943302,0.14433914,0.13956778,0.13508616,0.13011888,0.12338,0.11509207,0.10750607,0.10485661,0.11077881,0.12609102,0.14710887,0.1670757,0.17962213,0.18226226,0.17694516,0.16766448,0.15766598,0.14835142,0.13996567,0.13223268,0.12460413,0.11686528,0.110807694,0.11195349,0.12720181,0.1598972,0.20424855,0.24795961,0.2788625,0.29285958,0.29334152,0.2869415,0.2780224,0.26804736,0.2567512,0.24395008,0.22982718,0.2148412,0.20058209,0.19063185,0.19073187,0.20400806,0.22730553,0.24971311,0.26065376,0.25579804,0.23998249,0.22050692,0.20252544,0.18722047,0.17510921,0.16832937,0.16934772,0.17836028,0.19091587,0.20103516,0.20420356,0.20047605,0.19221364,0.18231498,0.17233843,0.16316909,0.15531899,0.14898692,0.14392386,0.13950832,0.13526382,0.13108699,0.12717927,0.12352919,0.119664125,0.11581398,0.11475108,0.123174995,0.14730875,0.18696441,0.23022048,0.2603233,0.26608667,0.25108457,0.2283585,0.20967896,0.19793844,0.18990593,0.18407987,0.18239045,0.18738948,0.19650422,0.20432542,0.20581639,0.20098118,0.19290186,0.1855862,0.18074204,0.17779677,0.17501916,0.1711862,0.16635714,0.16109352,0.15581039,0.15044253,0.14486773,0.13927294,0.13454743,0.13378012,0.14280574,0.16848314,0.2118132,0.26369286,0.3065389,0.32598463,0.31860062,0.29290196,0.25998196,0.22791702,0.20022614,0.17977668,0.16943468,0.17042011,0.17963462,0.19061196,0.1975457,0.19900395,0.19832776,0.19982116,0.20524937,0.21223946,0.21697246,0.21680082,0.2119888,0.20446216,0.19626564,0.18845117,0.18085672,0.17234105,0.16129284,0.14676084,0.1297829,0.113559015,0.10250724,0.099481754,0.10417042,0.11253532,0.11951981,0.12157423,0.11842987,0.11199018,0.104877286,0.09963608,0.09912578,0.10599949,0.12085769,0.140462,0.15926899,0.17318094,0.18269362,0.19097865,0.2003901,0.20988883,0.21730356,0.2211852,0.22180933,0.21949457,0.2142846,0.20590909,0.19430603,0.17952411,0.1622994,0.14438848,0.12867364,0.11800495,0.114854105,0.120645404,0.13524584,0.15549158,0.17575176,0.19066489,0.19867913,0.202488,0.2059203,0.21062951,0.21534735,0.21829604,0.21863705,0.21661346,0.21226965,0.20599042,0.1994077,0.19515802,0.19475758,0.19662516,0.19717407,0.19356044,0.18585949,0.17628832,0.16698186,0.1588593,0.1518536,0.14620206,0.1420166,0.13917433,0.13681519,0.13561338,0.1386123,0.15173388,0.17872924,0.2175378,0.25722268,0.28473103,0.2918748,0.2819169,0.26467323,0.2493643,0.23825602,0.22870658,0.21802126,0.20631953,0.19554816,0.18658383,0.17938316,0.17404293,0.17251998,0.17642476,0.18518768,0.19454922,0.19986977,0.1985581,0.1920761,0.18340616,0.17573278,0.17086333,0.17017244,0.1737638,0.18038976,0.18715042,0.19137712,0.19200523,0.19003882,0.1879483,0.18816036,0.19221228,0.19889288,0.20529358,0.20797963,0.20589371,0.19990899,0.19206166,0.1836946,0.17547564,0.1672995,0.15891486,0.15008926,0.14116782,0.13274433,0.12542999,0.11961045,0.11615903,0.11683288,0.12325886,0.13537419,0.15050481,0.16534777,0.17767924,0.18722127,0.19425887,0.19907838,0.2021599,0.20431073,0.20613416,0.20718032,0.206407,0.20298697,0.19703533,0.18951015,0.18172984,0.17496632,0.16987401,0.16638476,0.16362514,0.16051863,0.15622157,0.1506843,0.14456879,0.13879697,0.13384567,0.12958418,0.12567802,0.12207827,0.11892594,0.11627921,0.113895416,0.11147372,0.10865456,0.105177395,0.10098169,0.09646227,0.09229854,0.08896601,0.0863873,0.08401317,0.08131159,0.07811189,0.07468764,0.07153305,0.069097035,0.06758443,0.06691361,0.06676984,0.066721074,0.066382624,0.065555036,0.06429469,0.06279608,0.061287697,0.059916887,0.058754787,0.0577767,0.05692712,0.056195274,0.055617034,0.055178564,0.054673344,0.05380291,0.052348346,0.050385263,0.048203662,0.046138834,0.044339944,0.04271956,0.041071523,0.039259866,0.03732903,0.035416465,0.03362075,0.031938862,0.030319497,0.028727574,0.027141204,0.025546985,0.023943244,0.022377966,0.020932391,0.01968236,0.018654473,0.01784324,0.01731228,0.017305138,0.018185357,0.020051217,0.022275535,0.023553,0.022666773,0.019448202,0.014918423,0.0105439825,0.00724265,0.0051102666,0.003757405,0.00281757,0.0021086237,0.0015783467,0.0011909344,0.0009082714,0.0006960134,0.0005374344,0.00042044887,0.00033483154,0.0002690218,0.0002166321,0.00017375477,0.00013927188,0.000114350114,0.000103194194]