[0.00023400123,0.0007479714,0.0036894763,0.013050278,0.033064175,0.06434212,0.10085878,0.13203363,0.14913337,0.15030837,0.1404109,0.12628575,0.11302602,0.10290114,0.096439205,0.093322165,0.09274459,0.09367772,0.09514908,0.09658124,0.09780604,0.098931216,0.10002389,0.10169777,0.105543256,0.11464441,0.13069361,0.15215325,0.17255364,0.18499899,0.18466274,0.17163001,0.1484061,0.11972955,0.09092667,0.06784311,0.0547844,0.05400328,0.064436756,0.08224705,0.10104198,0.11553931,0.1233418,0.12619549,0.12678844,0.12728679,0.12853537,0.13148458,0.13727129,0.1456307,0.15418138,0.1590391,0.15874356,0.15482746,0.1508373,0.14795916,0.14507382,0.14046085,0.135597,0.13497931,0.14302464,0.15953489,0.17850281,0.1923598,0.19718601,0.19482045,0.18921675,0.18325116,0.17763317,0.17258511,0.16746156,0.16048545,0.14863797,0.13067983,0.10847765,0.0874261,0.07364643,0.071547575,0.08151836,0.099769205,0.120681316,0.13954283,0.15432508,0.1643371,0.16939591,0.16934025,0.16496588,0.15743251,0.14766653,0.13561742,0.12145969,0.10709097,0.09737182,0.09777832,0.11049294,0.13127434,0.15211011,0.16639574,0.17272633,0.1735832,0.17201103,0.169656,0.16677968,0.16315894,0.1584056,0.15235631,0.1453104,0.13805877,0.13160025,0.12657864,0.12318627,0.12126359,0.12106887,0.123787396,0.13184059,0.14734422,0.17038047,0.19722228,0.22202234,0.23891602,0.2447234,0.23849125,0.22126377,0.19513495,0.16376941,0.13172908,0.10386052,0.08348745,0.07157154,0.06635922,0.06471347,0.06364418,0.061477255,0.057929624,0.053520482,0.049631435,0.048774067,0.05499805,0.071401514,0.097721465,0.12840326,0.15632892,0.17636538,0.18813519,0.1936137,0.19490428,0.19380276,0.19315487,0.19820476,0.21279083,0.23639454,0.2614971,0.2797842,0.28647777,0.28363398,0.27545658,0.26547146,0.25480202,0.24348529,0.23086423,0.21528488,0.19493867,0.16890456,0.13924392,0.11016006,0.08670799,0.07154267,0.06464844,0.064739786,0.072638996,0.09230226,0.1265862,0.17263968,0.2194529,0.254758,0.2705313,0.26726723,0.25001538,0.22543733,0.1978849,0.16988939,0.14367224,0.124655515,0.11902914,0.12914953,0.14806537,0.16451645,0.16978689,0.16404577,0.15271668,0.14173459,0.13365547,0.12878586,0.12658466,0.12659952,0.12816788,0.13051368,0.1329854,0.13530278,0.13744551,0.13938256,0.14125858,0.14401762,0.15036166,0.16427483,0.18844835,0.22070885,0.2532122,0.27563402,0.28049457,0.26600653,0.2359426,0.19726253,0.15811245,0.12569332,0.10499382,0.09726349,0.10010513,0.107779734,0.11447611,0.11645425,0.114012875,0.10928538,0.104618706,0.10099158,0.09899452,0.09937554,0.10283717,0.10879893,0.114750594,0.11763408,0.11602047,0.11114988,0.1054129,0.10012863,0.09575049,0.0940206,0.100022614,0.1183997,0.14855947,0.18139786,0.20597868,0.21604812,0.21413082,0.20589851,0.1962115,0.18695629,0.17944239,0.1741917,0.16999076,0.16362762,0.15196358,0.1348219,0.11524472,0.09829745,0.088156916,0.08650147,0.09223166,0.10330927,0.11874568,0.1377897,0.15802884,0.1743174,0.18222785,0.18077815,0.17321987,0.1632645,0.1527082,0.14084549,0.12789159,0.11760605,0.11681148,0.12971635,0.15300584,0.17665297,0.19150595,0.19511425,0.19171341,0.18655007,0.18235879,0.17904152,0.17585494,0.17239724,0.16863908,0.16466242,0.16056179,0.15654908,0.15284853,0.14952601,0.14637744,0.1434192,0.14204232,0.1460151,0.15975296,0.18519938,0.21829057,0.250818,0.2737068,0.28143945,0.27170044,0.24531306,0.205821,0.16040264,0.11808491,0.08623346,0.067431144,0.059411306,0.05753387,0.057608146,0.057271037,0.055885077,0.05360097,0.050755396,0.048228275,0.048264477,0.0549618,0.07180131,0.09888288,0.13084914,0.16038436,0.18218492,0.19586074,0.20376587,0.20833157,0.2107669,0.21178634,0.21269852,0.2146067,0.21778505,0.22056793,0.2210542,0.21799022,0.21241744,0.20613374,0.20074464,0.19628792,0.19163077,0.18484141,0.17311724,0.15418808,0.1277353,0.09772114,0.07030178,0.051188882,0.04204319,0.041120138,0.04595034,0.056896497,0.07874667,0.115484215,0.16491622,0.21441019,0.24928503,0.2604247,0.2501601,0.22621654,0.19641487,0.16530414,0.13714585,0.11841515,0.1176115,0.13901465,0.17756899,0.21809167,0.24515653,0.25118718,0.24047841,0.22216928,0.20451312,0.19091113,0.18179663,0.17617236,0.17291339,0.17091946,0.169372,0.16798215,0.16692239,0.16633226,0.16594075,0.16542917,0.16516274,0.1667676,0.1715632,0.17931743,0.18697481,0.1906235,0.18648505,0.17254053,0.14869477,0.11801625,0.086350344,0.06051236,0.045700397,0.04463065,0.05704868,0.07964302,0.10536607,0.12656112,0.13812749,0.14031543,0.13647525,0.13032416,0.12405745,0.11907888,0.11720029,0.12003964,0.12748547,0.13648945,0.14284235,0.14397496,0.14042537,0.13442862,0.12773788,0.12162704,0.11825148,0.12148929,0.13365883,0.15270752,0.1712357,0.18228185,0.18308981,0.17676546,0.16745971,0.15834537,0.15064518,0.14551075,0.14274324,0.14033084,0.13423188,0.12199897,0.10461843,0.087177634,0.07583324,0.07440243,0.08234197,0.0952937,0.11020561,0.12744033,0.14994788,0.1764095,0.20043226,0.21449544,0.21687238,0.2115248,0.20352103,0.19502245,0.18608455,0.1771739,0.1706269,0.16907535,0.173742,0.18264347,0.1919955,0.19841456,0.20128173,0.20223391,0.20318186,0.20500027,0.2073255,0.20956634,0.21097934,0.21109055,0.2096029,0.20683862,0.20362408,0.20089193,0.19917297,0.19823112,0.19760567,0.19713761,0.19784653,0.20137633,0.20932262,0.22142847,0.23534127,0.24638133,0.2497235,0.24220185,0.22457497,0.20062679,0.17506075,0.15083452,0.12898691,0.10966951,0.093358725,0.08059019,0.071501456,0.06532677,0.060930494,0.05722481,0.053749174,0.05095538,0.05028856,0.054152634,0.064253606,0.08033421,0.09889238,0.11558783,0.12733833,0.13449351,0.1390559,0.14302562,0.14723143,0.1528401,0.16262703,0.17948662,0.20322038,0.2282998,0.24728982,0.25542244,0.2535626,0.24549244,0.23501705,0.22417103,0.21371321,0.2030021,0.18975432,0.17123389,0.14622602,0.11726234,0.089473434,0.0686076,0.057582278,0.05642842,0.063480996,0.07846967,0.10253254,0.13532494,0.17190818,0.2031103,0.22122858,0.22375353,0.21426691,0.19774699,0.17818205,0.15854847,0.14389217,0.14289623,0.16245049,0.2019502,0.24859762,0.2868369,0.30615994,0.30848753,0.30092183,0.29045185,0.27895176,0.26621628,0.2521516,0.23795237,0.22497676,0.21371472,0.20402974,0.19584638,0.18938565,0.18462758,0.18102908,0.17815804,0.17661007,0.17749412,0.18089633,0.18488537,0.18652414,0.18402709,0.17692053,0.16570328,0.15032811,0.13179024,0.1124041,0.096914195,0.0904899,0.09632194,0.11289648,0.13336934,0.1495565,0.1559643,0.15309753,0.1447862,0.13526656,0.12678473,0.1206507,0.11884809,0.123273395,0.1337458,0.14600877,0.1542006,0.15467606,0.14848377,0.13955283,0.13112386,0.12411198,0.118563384,0.116125286,0.121241175,0.13761702,0.16439453,0.19327502,0.21387233,0.21956985,0.21200252,0.19730246,0.18176089,0.16862494,0.15896346,0.15208198,0.14606738,0.13824409,0.1272697,0.1145676,0.1040478,0.10022205,0.10465363,0.11530159,0.12700208,0.13728999,0.14759775,0.1621504,0.1811058,0.19945556,0.2102837,0.21072097,0.20305318,0.19143383,0.17847143,0.16499524,0.15260093,0.14497633,0.14569335,0.15452522,0.1663456,0.175113,0.17797351,0.17642069,0.1731983,0.1701578,0.16775255,0.16594474,0.16449964,0.16317946,0.16194749,0.16107072,0.16068189,0.16070677,0.16088088,0.16113263,0.16139169,0.1614937,0.16124111,0.16060156,0.15986891,0.15939173,0.15938036,0.15981106,0.16046382,0.16118687,0.16183357,0.16246693,0.1630918,0.16368258,0.16402136,0.1638122,0.16283955,0.16111785,0.15904392,0.15724288,0.15618384,0.1557914,0.15543376,0.15444975,0.15263341,0.15032285,0.14804253,0.14612645,0.14459388,0.14325815,0.14183038,0.14010285,0.1380165,0.13575234,0.13365066,0.13203168,0.13108139,0.13066913,0.13041532,0.12979507,0.1284215,0.1263115,0.12379109,0.12133507,0.11901929,0.11702595,0.11657348,0.12094893,0.13334684,0.15259463,0.17087072,0.17767096,0.16802897,0.14584677,0.12033384,0.09811131,0.08074901,0.066580094,0.05464621,0.045230106,0.038774982,0.034631148,0.031416792,0.028024433,0.02427438,0.020663938,0.017699076,0.01606826,0.020299282,0.042234067,0.10011812,0.2021631,0.33224228,0.4475435,0.5081102,0.5015396,0.4513403,0.39120424,0.3447753,0.3160957,0.30016187,0.29015648,0.28273126,0.2765626,0.27148464,0.26701292,0.26174617,0.25371295,0.24070258,0.22179325,0.19929737,0.17928068,0.170262,0.17624782,0.19328646,0.2084924,0.20985979,0.19235522,0.1612008,0.12524828,0.09254492,0.07001369,0.06775453,0.101811774,0.18218626,0.29910353,0.41383207,0.48264503,0.48305157,0.43135834,0.3615702,0.30230144,0.26230666,0.24009384,0.23335586,0.24260187,0.266198,0.29760578,0.32682478,0.34629557,0.35402215,0.3537295,0.35036984,0.34719178,0.344632,0.3421117,0.34055355,0.34134662,0.34421787,0.3432059,0.33044592,0.3010856,0.25953603,0.21579136,0.1806426,0.15972404,0.15427227,0.16024517,0.1696695,0.17157836,0.15892649,0.13348068,0.10680107,0.093234956,0.101216674,0.1285788,0.16499709,0.20087697,0.23336752,0.26570573,0.2999411,0.33268836,0.35810342,0.3728445,0.37850428,0.37750116,0.37180427,0.36427876,0.36431685,0.38509402,0.43199992,0.4905084,0.5307681,0.52980745,0.4901189,0.43637243,0.3944393,0.37422776,0.3709124,0.37435696,0.37860617,0.380646,0.3799864,0.37622643,0.37090576,0.36575294,0.36154732,0.35727748,0.35156474,0.34478474,0.33885384,0.33656648,0.33950368,0.34764528,0.3582665,0.36704382,0.36814848,0.356076,0.32685515,0.28157827,0.22768141,0.17730278,0.14115879,0.12397295,0.12309388,0.13184486,0.14251257,0.149574,0.1503341,0.14532167,0.13645898,0.12578239,0.11481008,0.10534068,0.09996321,0.100964665,0.10866893,0.12058588,0.13291948,0.14275338,0.14942163,0.15405135,0.1584058,0.16476196,0.1762691,0.1970195,0.228886,0.26858774,0.30658492,0.33241877,0.34080556,0.33524454,0.32403365,0.31403887,0.30649194,0.29959717,0.29220375,0.2861774,0.282552,0.27973643,0.27223662,0.25499916,0.2259853,0.18887521,0.15203859,0.12596928,0.12019875,0.13997455,0.18362187,0.24124007,0.29807892,0.34220612,0.3697318,0.38449243,0.39184794,0.3948507,0.3953869,0.3980181,0.41197884,0.44118705,0.47680584,0.49415243,0.47400972,0.41617584,0.34433642,0.28409535,0.24911368,0.23658626,0.23879202,0.25060508,0.2699849,0.29373023,0.31560782,0.33004442,0.33536887,0.33397725,0.32831362,0.31889817,0.30546907,0.29028392,0.27907178,0.27722362,0.28506342,0.29538143,0.2979411,0.28530896,0.2566192,0.21684314,0.1733646,0.1373384,0.123696424,0.15278514,0.23376489,0.35309818,0.4673511,0.53330564,0.53302586,0.4878234,0.43222383,0.3910344,0.3678173,0.3569719,0.3530558,0.35538754,0.3627962,0.37309408,0.38149527,0.3855826,0.3848937,0.38180372,0.37769017,0.372375,0.36432257,0.3526254,0.3385199,0.3246107,0.31297514,0.30208898,0.2872508,0.26395515,0.23240735,0.19826539,0.1693582,0.15232308,0.15122008,0.16685957,0.19451027,0.22283494,0.2378611,0.23087458,0.20338346,0.16538547,0.12847082,0.10117715,0.08848459,0.09498493,0.12466981,0.1768827,0.24207778,0.30402133,0.34931445,0.3733373,0.38115692,0.3785979,0.37036344,0.3597645,0.35655344,0.3739182,0.4188355,0.48016223,0.5308773,0.5480801,0.52906156,0.49320042,0.46323335,0.45088625,0.45345417,0.4623529,0.4717307,0.4796791,0.48683128,0.49279222,0.49688765,0.4983351,0.49717155,0.493664,0.48784253,0.4798229,0.46976125,0.45836833,0.44512722,0.42866668,0.40628707,0.37772322,0.34472486,0.31154403,0.2804524,0.2516555,0.22280814,0.19298996,0.1645004,0.14359742,0.13640554,0.14426883,0.16162385,0.17958081,0.19132309,0.19512661,0.19263017,0.18625581,0.17772073,0.1688962,0.1617562,0.1578188,0.15712059,0.15845625,0.16035648,0.1616852,0.16199088,0.16124211,0.16060627,0.16278869,0.17219995,0.19170274,0.21929713,0.24629204,0.26249114,0.26254898,0.24952973,0.23117161,0.21413083,0.20166709,0.19473009,0.19561766,0.20699637,0.23065192,0.26309273,0.2971952,0.32422936,0.33903453,0.3413162,0.3351512,0.32735252,0.3257692,0.33884552,0.37060872,0.41429293,0.45008537,0.45582008,0.42440578,0.3701156,0.3175367,0.2831369,0.26924527,0.27226377,0.29320505,0.33669066,0.3993211,0.4605739,0.49141464,0.4740275,0.4175272,0.34917286,0.29538262,0.26521364,0.25426784,0.25402236,0.26029488,0.27151588,0.28529844,0.29712307,0.30273423,0.30187386,0.29771015,0.29412138,0.29187873,0.28911856,0.28474826,0.27980998,0.27607986,0.27113482,0.2594978,0.23594333,0.20133185,0.16180113,0.12538898,0.09785544,0.08484566,0.09574447,0.14457937,0.23555104,0.35048568,0.4461521,0.48422363,0.45489419,0.38657203,0.31641534,0.2687373,0.24384904,0.23359336,0.23100686,0.23492037,0.24438687,0.25620732,0.26591316,0.27078745,0.27149966,0.27006793,0.2676914,0.26394737,0.2592053,0.25685418,0.2615489,0.2751069,0.29229566,0.3044168,0.3044087,0.2927365,0.27471837,0.25682756,0.24234985,0.2321217,0.22626145,0.2239555,0.22295439,0.21780181,0.20389827,0.17899573,0.14640532,0.11167461,0.08115154,0.05956042,0.051291842,0.06177308,0.09538683,0.1506394,0.21561015,0.27298048,0.30982956,0.32514155,0.32687715,0.32381582,0.3214704,0.32435036,0.34042147,0.37680623,0.43010023,0.47950003,0.4986812,0.47495976,0.4220481,0.36635554,0.32887295,0.31135565,0.30614457,0.3039453,0.30282715,0.30280113,0.30506608,0.30789173,0.3093976,0.30756542,0.30200455,0.29331145,0.28325132,0.27494493,0.2727411,0.28033194,0.2980294,0.32080647,0.34068957,0.35011944,0.3459803,0.32908407,0.30325305,0.27257928,0.24068087,0.2095217,0.18001711,0.15251629,0.12789454,0.10738674,0.09194219,0.08152083,0.074888915,0.070415676,0.066479914,0.062659435,0.059807327,0.06072204,0.06809625,0.08301244,0.10264745,0.12234032,0.13777123,0.1478348,0.15365529,0.15710676,0.16017908,0.16594379,0.17999268,0.2064798,0.24388981,0.28124908,0.3052651,0.30827466,0.29445922,0.2742566,0.25708157,0.24625057,0.24120949,0.24133088,0.24622528,0.25368202,0.25688997,0.24826217,0.2235784,0.18643178,0.14518738,0.108855836,0.083927274,0.075332455,0.08963687,0.13100702,0.1966545,0.27041006,0.3327079,0.36971018,0.3832134,0.382082,0.37533435,0.36706734,0.36262617,0.3719673,0.40295723,0.45129475,0.49390563,0.50541663,0.47428682,0.41566816,0.35476628,0.3115178,0.2882737,0.2790031,0.27742654,0.2816457,0.29048386,0.30072197,0.308387,0.31119442,0.31005117,0.30699039,0.3033506,0.29877675,0.29268888,0.28604558,0.28069982,0.27754262,0.2731875,0.2624311,0.2407925,0.20922399,0.17217202,0.13602309,0.1071134,0.0948341,0.11280928,0.17264645,0.26971138,0.3753105,0.44919267,0.46640944,0.43403423,0.3813416,0.3358009,0.307748,0.29399014,0.28886053,0.29032585,0.2986491,0.31216577,0.32661906,0.33706728,0.3414887,0.3411024,0.33856595,0.335138,0.3305833,0.32474682,0.32026318,0.3208015,0.32810417,0.3373263,0.3403244,0.33004257,0.30651298,0.27469942,0.24163575,0.21305268,0.19371958,0.18703622,0.19177783,0.20090167,0.20275791,0.18984215,0.16192348,0.12706949,0.09389109,0.06851525,0.053554326,0.052397255,0.07167543,0.11614572,0.18204288,0.25211146,0.30610153,0.33177912,0.33265635,0.32068607,0.30716738,0.2981465,0.29771826,0.31398323,0.35416937,0.41505113,0.47318622,0.49909028,0.47679046,0.41941786,0.3546032,0.3055861,0.2774582,0.26423338,0.25826982,0.25620392,0.25747052,0.26164332,0.2674625,0.27329078,0.27734587,0.2779348,0.2736846,0.26472595,0.2530028,0.24162988,0.23342425,0.2299469,0.23066616,0.23376556,0.23640047,0.23671596,0.23336555,0.2263279,0.215805,0.20325226,0.1907437,0.18132436,0.17702329,0.17848474,0.18362872,0.18962723,0.19362403,0.19471431,0.19327283,0.19056743,0.18763214,0.18478853,0.18181401,0.17828642,0.17432682,0.1704402,0.16727878,0.16496955,0.16322686,0.16152519,0.1595468,0.15793528,0.15851128,0.16453035,0.17761129,0.19630583,0.21441793,0.22572969,0.22661732,0.21897294,0.20699133,0.19520603,0.18677682,0.18439996,0.19095005,0.20741516,0.23134191,0.25520214,0.27053604,0.271219,0.2573913,0.23330165,0.20463163,0.17535669,0.14884591,0.1302227,0.12583049,0.13873553,0.16367012,0.18883884,0.20256186,0.19944757,0.18051308,0.15020838,0.11777849,0.09946581,0.11894888,0.18886416,0.29695958,0.39946556,0.4539856,0.44414535,0.39387438,0.33782437,0.30017796,0.2824915,0.27781066,0.2801446,0.28857026,0.30381042,0.3245132,0.34666696,0.3641757,0.37218764,0.36850205,0.3532454,0.32814935,0.29694328,0.2678977,0.25091302,0.2528281,0.27011228,0.2910147,0.30063856,0.29078233,0.2624028,0.22482432,0.19015814,0.17131923,0.18193005,0.23254268,0.31932762,0.4156623,0.48178515,0.49107304,0.4482138,0.3823793,0.32303223,0.28307918,0.26028764,0.24725,0.23959003,0.23666574,0.24074745,0.25304326,0.271809,0.29081655,0.30355427,0.30670452,0.30269012,0.29713988,0.29596362,0.30290195,0.3180014,0.33687326,0.35099745,0.35152248,0.33394647,0.3009987,0.26069993,0.2222019,0.19275945,0.17767431,0.18027861,0.19988157,0.22903186,0.25420287,0.2613916,0.24282892,0.20092748,0.14676338,0.09496242,0.058480788,0.04608867,0.063433714,0.110804565,0.18107228,0.25681978,0.31949398,0.3569813,0.3710715,0.3700466,0.36296567,0.35549936,0.35491034,0.3736029,0.41999602,0.4868079,0.54282373,0.55537105,0.51293415,0.439132,0.36964226,0.32791543,0.31278697,0.31065714,0.31039694,0.30873704,0.30702055,0.3056456,0.30358514,0.29948664,0.29370594,0.2875208,0.28183508,0.27678046,0.2735602,0.27694723,0.2924631,0.32199335,0.35789445,0.38797215,0.40102935,0.39522758,0.37489787,0.3477057,0.31872645,0.29112557,0.2657369,0.24262343,0.22079448,0.19939668,0.1779977,0.15705556,0.13714784,0.118775636,0.10206941,0.08731378,0.07587548,0.07140929,0.07950995,0.10296152,0.1366459,0.16691697,0.18114449,0.17674297,0.16259365,0.14878158,0.13951258,0.1340035,0.13504766,0.15008055,0.18608804,0.23956545,0.29794568,0.34445906,0.36989987,0.37268624,0.3595129,0.33790097,0.3160965,0.2993277,0.2898948,0.2856584,0.28161585,0.27337083,0.25825277,0.2360412,0.20698953,0.17336373,0.13944349,0.1132176,0.10478849,0.12569904,0.18025629,0.2609607,0.34515667,0.4095576,0.44009063,0.43948364,0.41807982,0.38749322,0.35847077,0.34387496,0.35857144,0.4064071,0.47097954,0.5162657,0.512608,0.4569832,0.37687397,0.30591735,0.26349482,0.24790603,0.24787068,0.25267455,0.2573211,0.26039878,0.26209533,0.26253408,0.2619256,0.26074445,0.2593728,0.2578094,0.25617957,0.2559494,0.2609092,0.27314007,0.2892595,0.2975865,0.2869393,0.25503185,0.21317011,0.17616038,0.15188521,0.13927191,0.13857536,0.1613286,0.2219701,0.3197384,0.4246819,0.4954243,0.5069937,0.46951362,0.41278473,0.36232686,0.32568625,0.29947424,0.2795465,0.26494965,0.2553076,0.24988545,0.24830765,0.25220203,0.26298523,0.27981892,0.29793635,0.31190398,0.31885892,0.32099757,0.3229933,0.32875356,0.33749124,0.34407035,0.34068266,0.32289886,0.29286334,0.2612066,0.24085127,0.24041308,0.2577025,0.28071868,0.2938929,0.28617778,0.2583727,0.2222144,0.19515331,0.18852036,0.20270932,0.22820671,0.25517276,0.27896392,0.30134368,0.32426894,0.34731737,0.3658419,0.3766068,0.37802252,0.37239993,0.36173618,0.34939957,0.34095517,0.34678295,0.37794483,0.43440065,0.497932,0.5370645,0.53105015,0.4838854,0.42176726,0.36915895,0.3362151,0.31811258,0.30802813,0.3013239,0.29729268,0.29490122,0.2936269,0.2924801,0.29132977,0.2896649,0.28675136,0.2815162,0.2748017,0.2700365,0.27289084,0.28538737,0.3028282,0.31277606,0.3046488,0.27613038,0.236696,0.19841146,0.16900319,0.1476109,0.13117276,0.119511314,0.11863508,0.133475,0.16145879,0.18798475,0.19753374,0.18429945,0.15885733,0.13624056,0.124463744,0.11996305,0.117016286,0.11653468,0.12551385,0.14915402,0.18340243,0.2176011,0.24110484,0.24944466,0.2427227,0.22272749,0.19214825,0.15771058,0.1306145,0.122290276,0.13686249,0.16858542,0.20458758,0.23344368,0.24979149,0.2555337,0.25510162,0.25275812,0.2517854,0.25521517,0.2650305,0.27912807,0.29191813,0.29722118,0.2938528,0.28547087,0.27732232,0.27284214,0.275089,0.29081178,0.3267114,0.3816162,0.43849817,0.47495064,0.47744158,0.45274103,0.41692528,0.38354042,0.35630205,0.33859158,0.33919084,0.37001595,0.43113565,0.5017581,0.5475988,0.54369074,0.49249414,0.4195262,0.35389337,0.310318,0.28859136,0.28121594,0.2818313,0.2868034,0.29385754,0.30033603,0.30311617,0.30054396,0.2938838,0.2868924,0.28392205,0.2879449,0.29944345,0.31593224,0.33135092,0.3392249,0.33482692,0.32019925,0.30039713,0.28229776,0.26773956,0.25703898,0.25106683,0.25807264,0.290869,0.35462514,0.43516508,0.49850574,0.5153396,0.48010913,0.41553512,0.3504494,0.30236593,0.27327582,0.25817177,0.253462,0.25783992,0.2713231,0.29062793,0.30874667,0.3165793,0.30972907,0.29122183,0.26898375,0.24980682,0.23735768,0.23521566,0.24751134,0.27479863,0.3082249,0.33330533,0.34013477,0.33149973,0.31855372,0.3106254,0.30910414,0.31007913,0.31005526,0.30738482,0.3019619,0.29351574,0.2838073,0.2748622,0.2679812,0.26005545,0.24563755,0.22066413,0.18871807,0.16276649,0.16062617,0.19282071,0.25337794,0.32012582,0.3696917,0.3907406,0.38906398,0.3775145,0.36724102,0.36452833,0.3758539,0.4076468,0.45727125,0.504843,0.5201635,0.4863023,0.4148927,0.33910236,0.28684482,0.2648784,0.26164925,0.2642276,0.2666326,0.2690958,0.27186465,0.2741976,0.27561596,0.2768896,0.27834973,0.27877077,0.2762662,0.2711693,0.26704928,0.27022576,0.28503045,0.31043342,0.33758318,0.35501146,0.35463747,0.3376883,0.31277072,0.29150447,0.28116956,0.28140202,0.28362107,0.27732763,0.256232,0.2220317,0.18192177,0.1455661,0.12332779,0.1240379,0.1496042,0.18973589,0.22415332,0.23493743,0.21880436,0.19077198,0.17202246,0.17580913,0.19868402,0.22735699,0.24953401,0.26175657,0.26782688,0.27305737,0.28150985,0.29433456,0.31183746,0.3311716,0.3486888,0.35847613,0.35739908,0.34454688,0.32419756,0.3023996,0.2860247,0.27867892,0.27861097,0.27927032,0.27335095,0.25961095,0.24266429,0.22925766,0.2207446,0.21286006,0.19932199,0.17939503,0.16175531,0.16172534,0.19048184,0.24478634,0.30629876,0.35356566,0.37462363,0.37163785,0.3547213,0.33515516,0.32344672,0.33053052,0.3654646,0.42465094,0.48639694,0.518376,0.50219476,0.44605362,0.37876484,0.324792,0.29239425,0.27596682,0.26965517,0.2725643,0.2863458,0.3086872,0.3305069,0.3402275,0.33194563,0.310917,0.2902442,0.28016296,0.28119195,0.28465682,0.28243735,0.2712833,0.2543818,0.23596846,0.221779,0.2160238,0.22070265,0.23066075,0.23729958,0.23667014,0.23887531,0.26552495,0.32926652,0.4167638,0.48819956,0.50986457,0.47738242,0.41892698,0.36557892,0.33276382,0.3172756,0.31123897,0.3094683,0.31016752,0.3120204,0.31337282,0.31264642,0.3090335,0.30183125,0.29066643,0.2751155,0.25704095,0.24097548,0.2347226,0.24385548,0.2673991,0.29431152,0.31101438,0.3091881,0.29212213,0.2677951,0.2426243,0.21742047,0.19395758,0.1781344,0.17781116,0.19512057,0.22209752,0.24551302,0.25317958,0.24104346,0.2120356,0.17457108,0.13846028,0.1141384,0.112517394,0.14050259,0.19546805,0.25994492,0.31163743,0.33558616,0.33469698,0.3224318,0.31262207,0.3124853,0.3260813,0.35919747,0.4153905,0.486595,0.5470632,0.5671969,0.5345374,0.46571323,0.39157245,0.33599433,0.30323684,0.28670093,0.27727392,0.2703148,0.26255146,0.25387025,0.24502797,0.23771113,0.23159508,0.22530375,0.21785957,0.2100156,0.20387824,0.20191063,0.20551734,0.21411358,0.2242422,0.23178577,0.23403347,0.23191081,0.22916186,0.23065154,0.23902471,0.25080052,0.25660107,0.24716604,0.22312455,0.19657987,0.18207932,0.18372333,0.1919852,0.19358861,0.18317753,0.1666839,0.15340954,0.14823313,0.15024446,0.15741757,0.1707949,0.19218396,0.22099109,0.25113025,0.27555478,0.2896675,0.29432487,0.29332256,0.2909136,0.29082334,0.2948727,0.30283964,0.31036767,0.31209278,0.30410382,0.28752896,0.26633772,0.24491556,0.22614849,0.21260828,0.20765482,0.21329759,0.22814418,0.24517576,0.25534686,0.24975045,0.2251591,0.1848952,0.14042814,0.10715101,0.10116906,0.13517368,0.2118601,0.3170741,0.41799226,0.4805576,0.4895645,0.45882663,0.41532946,0.38016918,0.35999763,0.35606143,0.3727144,0.4136417,0.47027746,0.5160416,0.522777,0.48037508,0.40784216,0.33532035,0.28551623,0.26279214,0.26156175,0.27394292,0.2923989,0.30993548,0.3209915,0.32500145,0.32443416,0.32207173,0.31734142,0.30777702,0.2927064,0.27593747,0.2647409,0.26295993,0.26817814,0.27217284,0.27071264,0.26496363,0.25976682,0.25459492,0.2459379,0.23227173,0.22227068,0.23224325,0.27829316,0.35890505,0.44762897,0.5017261,0.49384916,0.43200406,0.3525046,0.2896596,0.2551252,0.24224429,0.23916544,0.23913972,0.23865032,0.23674852,0.23326588,0.2289797,0.2246235,0.22079027,0.21889442,0.22200517,0.23352902,0.2541574,0.2787112,0.2980506,0.30455562,0.29773018,0.2847273,0.2753069,0.27508757,0.2811953,0.28359857,0.2734487,0.24988483,0.2227242,0.20197952,0.19187193,0.18778855,0.18707581,0.1908821,0.20325102,0.22263934,0.24353544,0.26028565,0.27216673,0.28208145,0.29366842,0.308424,0.32523155,0.34131002,0.3541849,0.36251375,0.36631322,0.36626783,0.36498427,0.36825693,0.38559556,0.4227197,0.47262183,0.5114,0.51335126,0.46968552,0.39727187,0.32391682,0.2692776,0.23658657,0.2191884,0.21012525,0.20646256,0.20870787,0.21906678,0.23796536,0.26255742,0.28590953,0.30106398,0.30333844,0.2925359,0.27225193,0.25051194,0.23663306,0.23729199,0.2507342,0.26948634,0.28495315,0.29401025,0.2972716,0.2964392,0.29164755,0.28294793,0.2721863,0.26273838,0.2574912,0.25682548,0.25873736,0.2611512,0.26331773,0.2661713,0.2701876,0.27467063,0.27761582,0.27757415,0.27445343,0.2696991,0.26460385,0.2590442,0.25088635,0.23751204,0.21775949,0.19337969,0.16839989,0.14732717,0.13415326,0.13271745,0.1469549,0.17699476,0.21642327,0.2522937,0.2748998,0.28241208,0.282408,0.28134432,0.2813771,0.27840135,0.26953852,0.25408718,0.23586315,0.21939732,0.20925178,0.20448743,0.19809912,0.17997928,0.1463639,0.10586286,0.07632548,0.07689451,0.11621896,0.18832453,0.27141437,0.3406187,0.37916413,0.38753998,0.3771542,0.36168182,0.3513538,0.3542007,0.37877378,0.42640138,0.48507437,0.5269926,0.5286128,0.48587754,0.41971686,0.3561344,0.31093028,0.2850488,0.2737658,0.27246764,0.2764466,0.28014448,0.27831903,0.26946983,0.25556436,0.2413884,0.2318635,0.23156424,0.2425067,0.26353502,0.2884853,0.30852437,0.31611097,0.31061262,0.2981929,0.28639254,0.27702734,0.26542005,0.24590407,0.21967673,0.1986069,0.20330177,0.25146332,0.34134898,0.44213447,0.508937,0.5128793,0.46273604,0.39331615,0.33865142,0.31161046,0.3073599,0.31456518,0.3237915,0.3299465,0.33099365,0.3283578,0.32298067,0.31504738,0.30264202,0.28515926,0.26487735,0.24709207,0.23818706,0.2413214,0.25509772,0.27306947,0.28847954,0.29755834,0.30084664,0.30097458,0.29907882,0.29536286,0.28918543,0.28161058,0.27280116,0.2615567,0.24450232,0.21990716,0.19016157,0.1609977,0.13722402,0.118993096,0.10299944,0.08734722,0.076432616,0.08163643,0.11364976,0.17354544,0.24704309,0.3134431,0.35681763,0.374776,0.37306646,0.35908797,0.33946893,0.32495674,0.33334887,0.37660518,0.44659996,0.5070679,0.5208851,0.4749544,0.39489448,0.3172095,0.26705533,0.2450348,0.24320193,0.25268635,0.2685808,0.28299797,0.28853938,0.28084236,0.26427194,0.24791586,0.24088383,0.24572153,0.25765178,0.26695547,0.26578018,0.25284043,0.23425002,0.21833514,0.21096738,0.21407689,0.22672069,0.24613512,0.26725736,0.2849153,0.29470626,0.29420337,0.2804977,0.25282785,0.21506278,0.17930333,0.15976329,0.16516449,0.19164908,0.22619338,0.25501212,0.27156448,0.27791098,0.2795205,0.28034878,0.28029945,0.27771696,0.2711703,0.2610353,0.24769068,0.23071629,0.20796143,0.17782076,0.14131044,0.10414365,0.07550032,0.06452456,0.07433476,0.09795604,0.12002704,0.12596709,0.11289522,0.09254057,0.08456201,0.10203081,0.14321622,0.19024205,0.22200866,0.22690718,0.21234755,0.19674414,0.19452453,0.20297487,0.20729816,0.19560702,0.17124689,0.1476447,0.13606413,0.1366886,0.14248307,0.14684217,0.1490346,0.15456729,0.17000854,0.19845372,0.23717141,0.28437635,0.34427467,0.42046133,0.5031445,0.56323737,0.574907,0.5347725,0.469764,0.41004083,0.3723295,0.35219824,0.3407762,0.3318701,0.3261064,0.32512942,0.32954577,0.33709636,0.34396496,0.346835,0.34517363,0.3405935,0.3355926,0.33130765,0.3281803,0.3246107,0.3171465,0.3004184,0.27121332,0.23077,0.18497957,0.14053102,0.10260087,0.076473236,0.071486175,0.10347835,0.18252301,0.29873905,0.41215575,0.47752365,0.47207448,0.4156897,0.34750137,0.2997423,0.27880952,0.27625805,0.2808163,0.28683922,0.29118928,0.29181632,0.2874308,0.2801007,0.27319458,0.2688131,0.26538098,0.26051545,0.2544044,0.25025913,0.25159347,0.25864792,0.2688757,0.2784491,0.2845509,0.28531852,0.27988282,0.26864135,0.2538939,0.23983921,0.23130743,0.2307781,0.2357796,0.2390731,0.23417056,0.22112672,0.20681636,0.19910784,0.20056073,0.2083724,0.21793264,0.2268694,0.23589158,0.24695033,0.26100177,0.27575982,0.28761506,0.2935584,0.29449987,0.29346338,0.29419985,0.2999468,0.31677833,0.35445464,0.4169391,0.4915862,0.5469263,0.55605173,0.5161105,0.45240095,0.3946534,0.35788524,0.3397229,0.33080837,0.32586715,0.32277444,0.32227436,0.32330883,0.32505107,0.3259249,0.32545844,0.3238618,0.32114872,0.31745014,0.3125794,0.30874217,0.30826518,0.31280956,0.3194317,0.32350865,0.32038018,0.30839372,0.28657407,0.25453368,0.21293725,0.16611281,0.121089816,0.084745765,0.06032196,0.04691502,0.04104319,0.039012093,0.038272936,0.03798986,0.039301425,0.04571258,0.061545093,0.088777326,0.12335936,0.15693541,0.1821263,0.19791788,0.20745724,0.21320231,0.21358164,0.2066954,0.19346602,0.17959826,0.1728305,0.18065472,0.20520605,0.24097402,0.27586502,0.2990897,0.30683652,0.30285057,0.29282212,0.28065744,0.26842472,0.2577846,0.24998958,0.24346007,0.23449115,0.21859813,0.19492894,0.16649674,0.1409992,0.12575147,0.1239118,0.13182752,0.14484899,0.16426836,0.1959184,0.24192727,0.29256922,0.33341947,0.35427997,0.35692576,0.34852144,0.3374522,0.33067274,0.33791795,0.36990812,0.42823145,0.49570763,0.5399139,0.5363215,0.48741677,0.42086264,0.36588752,0.33353248,0.3173901,0.30732337,0.29972062,0.2954894,0.29399288,0.2916589,0.2860661,0.2789611,0.2744223,0.27419665,0.2763988,0.27834216,0.279385,0.28211704,0.28755096,0.29475486,0.29849815,0.2960453,0.2863625,0.27236843,0.25447085,0.23233943,0.20851074,0.19631238,0.21768506,0.2856427,0.38646245,0.476945,0.51378256,0.48247612,0.40849933,0.33150145,0.27897808,0.25300002,0.24266618,0.23624861,0.22891109,0.21922018,0.20862997,0.1997015,0.19693601,0.20280291,0.2156592,0.22923279,0.23723775,0.23838891,0.237675,0.24254496,0.25621164,0.27511337,0.29149425,0.29949751,0.2980466,0.28966546,0.27725595,0.26318684,0.24977261,0.23981558,0.23362018,0.22734864,0.2132581,0.18632956,0.14818595,0.10736274,0.072743565,0.04920132,0.037157997,0.036568757,0.04995506,0.082198806,0.13542174,0.20489375,0.27696553,0.3364605,0.37241718,0.38484547,0.38038483,0.36933517,0.36101523,0.3652059,0.39034927,0.4353988,0.48433122,0.5104473,0.497998,0.45346633,0.4021915,0.36569294,0.35111856,0.3512986,0.3570862,0.36221167,0.36501232,0.36593238,0.3661294,0.36715066,0.36936167,0.37285146,0.3762404,0.37853548,0.3788273,0.37722242,0.37405655,0.3700253,0.36617056,0.3639007,0.36362398,0.36415753,0.3631979,0.35974726,0.3548838,0.35077393,0.34885755,0.34936643,0.35192606,0.35522246,0.35671785,0.35361877,0.34565935,0.33630276,0.33022773,0.3291254,0.33006787,0.3282287,0.3208501,0.30851448,0.2936389,0.27834865,0.2642469,0.2530103,0.24617504,0.24412966,0.24479543,0.24532254,0.24390443,0.2422386,0.24324298,0.24873655,0.25676098,0.2636257,0.266367,0.26496908,0.2614694,0.25841734,0.25755528,0.25984535,0.26565048,0.27439523,0.2836937,0.28905162,0.28575397,0.27165428,0.24938077,0.22505707,0.20508368,0.19233258,0.18546979,0.1807809,0.17658065,0.17397456,0.17581248,0.18171686,0.18880022,0.19281177,0.19248988,0.18847762,0.18385148,0.18524213,0.20532294,0.2578139,0.3428686,0.4375943,0.503922,0.51687926,0.48127222,0.42668912,0.38085,0.35550538,0.3466085,0.34642228,0.3488607,0.35097024,0.3513174,0.3498696,0.34722325,0.34500718,0.34495553,0.34895906,0.35656643,0.36572742,0.37293315,0.37639353,0.37534097,0.36986908,0.35930052,0.34378412,0.3249048,0.3062517,0.29146147,0.2830291,0.28340986,0.29719356,0.3330288,0.3930775,0.46582946,0.52116746,0.53328085,0.49539396,0.42897236,0.36195222,0.3142855,0.28894046,0.28047732,0.2818505,0.28783178,0.29505822,0.30026302,0.3018718,0.29989946,0.29668152,0.29416975,0.29207945,0.28865334,0.28266037,0.27641523,0.27284792,0.27336028,0.2741182,0.27012083,0.2581947,0.240637,0.22176272,0.20519151,0.19225372,0.18418527,0.18399732,0.19317926,0.2088031,0.22084819,0.22027083,0.20435049,0.18124233,0.16236927,0.15594214,0.1618848,0.17517544,0.19155325,0.21050143,0.23326993,0.2577646,0.27849603,0.28979993,0.290444,0.28307548,0.2723838,0.2636629,0.26417807,0.28426942,0.3316794,0.4021081,0.47074023,0.5047203,0.48437467,0.42195562,0.34947565,0.29599193,0.26895118,0.26003894,0.25792274,0.257331,0.25795636,0.26072147,0.26533702,0.27008975,0.27224898,0.2697067,0.2620975,0.2515842,0.24234752,0.23947097,0.24813788,0.27076605,0.3048552,0.34166172,0.3703362,0.38343823,0.38018048,0.36512443,0.34349987,0.31882527,0.2912916,0.25977135,0.22327167,0.1836208,0.1452956,0.11335989,0.09046615,0.07568043,0.06619788,0.05931082,0.05487365,0.055893485,0.0692494,0.10026679,0.14811651,0.2012804,0.24556708,0.27136624,0.28019455,0.27858654,0.27275756,0.26456583,0.25435448,0.24336644,0.2343182,0.22911711,0.22721393,0.22593398,0.22325383,0.21866648,0.21347843,0.20867048,0.20599271,0.20684701,0.21293889,0.22255386,0.23123722,0.23175935,0.21990366,0.19586565,0.1655956,0.13593854,0.112342976,0.09719667,0.0928852,0.103515364,0.1326496,0.17820144,0.22899783,0.27053455,0.29261768,0.2953789,0.28589895,0.27267098,0.26216403,0.2611037,0.28004727,0.32802996,0.39984703,0.46816602,0.4975946,0.4716916,0.406895,0.33763537,0.2895198,0.2666584,0.2600537,0.2608166,0.26495942,0.270916,0.27654243,0.28000805,0.2806228,0.27940157,0.27804777,0.27778736,0.2790891,0.28164232,0.28521046,0.28941476,0.29232344,0.29066458,0.28081954,0.26231143,0.23731084,0.2099691,0.1838234,0.16264628,0.1528554,0.16570117,0.21449101,0.2996887,0.39891145,0.47001252,0.48181507,0.43445507,0.35963702,0.2912756,0.24651031,0.22336173,0.21413426,0.21373422,0.21971245,0.22912948,0.23698956,0.23884398,0.23295075,0.2213552,0.20786999,0.19599722,0.18753277,0.1830834,0.18302673,0.18768765,0.19621633,0.20554328,0.21142276,0.21050979,0.20234956,0.18862939,0.172484,0.15791674,0.15024346,0.154643,0.1710481,0.19190954,0.20350866,0.19731604,0.17508568,0.1501134,0.13493349,0.13470177,0.14392745,0.1552494,0.16637373,0.182343,0.20923062,0.24649175,0.28586522,0.3163879,0.33149764,0.33138347,0.3204212,0.3052014,0.29416406,0.30043444,0.33461598,0.39485845,0.45721123,0.49018753,0.47577092,0.42580447,0.36873773,0.3283298,0.30988538,0.30516744,0.30463597,0.30214593,0.29659352,0.28782618,0.2779126,0.26827124,0.26037288,0.25369158,0.24714881,0.23975682,0.23213135,0.22724469,0.22849673,0.23714261,0.24937396,0.25849232,0.25924718,0.2510464,0.23714991,0.22033606,0.20144038,0.17936528,0.15459134,0.12974183,0.1093136,0.09643186,0.09147879,0.091777734,0.09368407,0.094222315,0.09238196,0.08887767,0.086180545,0.08819268,0.10041752,0.1264446,0.16470629,0.20579194,0.23814686,0.254228,0.25510818,0.24706261,0.23637652,0.22701561,0.22120346,0.22262044,0.23416062,0.2558187,0.28080693,0.299715,0.30534515,0.2976813,0.2816564,0.26317322,0.24671058,0.2359568,0.23569004,0.24822016,0.2708579,0.29330707,0.3058176,0.30417323,0.29416072,0.28388175,0.27886355,0.27995625,0.28919724,0.3142502,0.36037216,0.42070714,0.4696416,0.48258588,0.4520054,0.3967811,0.34150848,0.30210307,0.28002584,0.27571857,0.29614708,0.34751844,0.421976,0.48945013,0.5177682,0.49223578,0.43015322,0.36124644,0.30946672,0.2788541,0.26286796,0.25356457,0.24785137,0.24506806,0.24373941,0.24158089,0.23664291,0.22963826,0.22278047,0.218552,0.21778679,0.2204286,0.2269215,0.23799491,0.2522506,0.2641374,0.26657185,0.2559895,0.23515646,0.21118855,0.19058597,0.17798863,0.17796098,0.20003772,0.25443804,0.34078312,0.4349201,0.4971927,0.49774644,0.4407312,0.35952997,0.29047468,0.24987964,0.23322944,0.22931258,0.23143037,0.23816425,0.24869533,0.2592119,0.26515812,0.2639462,0.25750527,0.24921352,0.24148156,0.23452432,0.22875659,0.22662579,0.23022908,0.23893368,0.24697371,0.24857114,0.24058227,0.2256158,0.20783864,0.1910307,0.17762639,0.17059426,0.17381477,0.18705523,0.20354618,0.21034653,0.19951002,0.17346363,0.14648403,0.13254277,0.137698,0.15590249,0.1777014,0.19885997,0.22348566,0.25726852,0.29769543,0.33493245,0.3587238,0.3675457,0.36592707,0.35885033,0.3490224,0.3416041,0.3492898,0.3834418,0.44072032,0.4946116,0.51433724,0.48759505,0.4325097,0.3777504,0.3428122,0.3274014,0.32392633,0.32455876,0.32677627,0.32873842,0.32999745,0.33036217,0.3302716,0.32986596,0.3286269,0.32662758,0.32480577,0.325256,0.32959226,0.3375055,0.34532297,0.34726906,0.33881605,0.32028687,0.2966254,0.27274454,0.24973775,0.22449605,0.19534816,0.16497803,0.14095019,0.12953572,0.1319988,0.14316104,0.15578836,0.16464551,0.16858947,0.16923046,0.16880225,0.1693616,0.1730632,0.18257588,0.19909024,0.22082369,0.24212418,0.25724128,0.262622,0.2591132,0.24964996,0.23819113,0.22817284,0.22241461,0.22335614,0.2319603,0.2473148,0.26462114,0.27799097,0.28289807,0.2798718,0.27205873,0.26279196,0.2536623,0.24621332,0.24248482,0.24208905,0.24053489,0.22994082,0.20664294,0.17369331,0.14078102,0.11614323,0.10314671,0.09973147,0.10408638,0.11873523,0.14893515,0.1966197,0.2541385,0.30778387,0.34480777,0.36110485,0.35942936,0.3462017,0.32955635,0.32130226,0.33635238,0.38140634,0.4450276,0.49569306,0.5046221,0.46503392,0.3989854,0.33574948,0.29328802,0.27106798,0.2604054,0.25388768,0.24932277,0.24779104,0.25051412,0.25641066,0.2617962,0.2626264,0.2571303,0.2470584,0.23618329,0.2286882,0.22739695,0.23179261,0.2373975,0.23642598,0.2234289,0.19811676,0.16684486,0.13767947,0.11675629,0.107424736,0.114569545,0.1495382,0.22318794,0.3307754,0.43939558,0.5040737,0.49808323,0.43528953,0.3550013,0.29293132,0.26003966,0.2492276,0.2487127,0.2525565,0.25887984,0.2670687,0.27459607,0.27861086,0.27725264,0.2712195,0.26252452,0.25316605,0.24464606,0.23848921,0.2367446,0.24003072,0.24621661,0.25026694,0.24813835,0.23937625,0.22734797,0.21584256,0.20683007,0.20108844,0.19971406,0.20424066,0.21262498,0.2184969,0.21296142,0.19339627,0.16549371,0.14242701,0.13408762,0.14241828,0.15942271,0.17612302,0.18925332,0.2025947,0.22005199,0.23869693,0.25141034,0.25259912,0.24402629,0.2310404,0.21879445,0.21134897,0.21569733,0.2453502,0.30819193,0.39449856,0.46782565,0.49127367,0.45088336,0.3712338,0.28994215,0.23396324,0.2059132,0.19544594,0.19197942,0.19011302,0.18865572,0.18735218,0.18631744,0.18541874,0.18428488,0.18295471,0.18167187,0.18112177,0.18119173,0.18116796,0.18013936,0.17803057,0.17566194,0.17393464,0.17307192,0.17257093,0.17188852,0.17080736,0.1694778,0.16800632,0.166498,0.16504844,0.16377737,0.16282171,0.16202241,0.16114408,0.15974294,0.15770258,0.15526706,0.1529538,0.15108281,0.14950126,0.14786674,0.14610624,0.1442929,0.14244442,0.1402345,0.13769609,0.13533811,0.13385446,0.13324624,0.13288498,0.13218266,0.13131614,0.1307291,0.13059722,0.1304888,0.13010575,0.12958156,0.12930089,0.12924525,0.12918608,0.12945281,0.13165943,0.1372471,0.14542936,0.15193288,0.1514327,0.14100589,0.12192915,0.098163545,0.07378375,0.051778004,0.03405065,0.021550387,0.014066354,0.0103193885,0.008674775,0.0078116395,0.0070658773,0.006286342,0.0055744015,0.0050613214,0.0053987247,0.011909592,0.037941273,0.10362005,0.21648735,0.3558663,0.47137716,0.5194734,0.49233374,0.4246672,0.35856995,0.3171831,0.29722607,0.28744215,0.28115654,0.2787926,0.28116393,0.28503382,0.28525925,0.27961138,0.27159712,0.26649192,0.2656217,0.26578772,0.2638394,0.2623614,0.26652357,0.27840316,0.29163575,0.29657936,0.28635332,0.26198906,0.22930981,0.19558497,0.1685657,0.15927827,0.18363476,0.2512603,0.35240242,0.45037833,0.5040174,0.4938476,0.43800363,0.3724365,0.32562554,0.3035834,0.29806802,0.29972282,0.30481827,0.31372055,0.32599726,0.33870348,0.34730253,0.34919086,0.34544674,0.34009275,0.33688113,0.3369591,0.33860555,0.3388188,0.3348969,0.32531837,0.30998686,0.2900304,0.2671083,0.24286085,0.21889134,0.19787776,0.18382536,0.1813957,0.19250487,0.21374698,0.23513003,0.2447307,0.23440765,0.20511518,0.16524795,0.12627904,0.096753486,0.08129611,0.082033455,0.102273755,0.14387603,0.20345874,0.26817533,0.32259464,0.35601237,0.3684208,0.36541334,0.3534994,0.3393158,0.3338356,0.3524321,0.40142807,0.46634778,0.5118551,0.5089923,0.4562699,0.38257155,0.320492,0.28541812,0.27258933,0.27055612,0.27328277,0.2794197,0.28884888,0.29799005,0.30299482,0.3014751,0.2947745,0.2860432,0.27833042,0.27342615,0.27178034,0.2732884,0.27538478,0.273057,0.25959513,0.23302443,0.19763608,0.1625093,0.13381806,0.11297204,0.09804684,0.08774807,0.081521995,0.07806407,0.075190954,0.07101333,0.06535903,0.0590699,0.053360466,0.04902515,0.046507493,0.045856547,0.047269274,0.052086588,0.06264889,0.08081725,0.10507069,0.13046427,0.15073995,0.16245383,0.16590644,0.16407366,0.16009913,0.15711404,0.15889646,0.16996597,0.192753,0.22478668,0.2579782,0.28312352,0.294387,0.29258138,0.2827272,0.2714628,0.26370597,0.2622123,0.2665059,0.27303278,0.27547154,0.26744166,0.24530865,0.21092986,0.17135079,0.1363296,0.11392527,0.108354956,0.12129885,0.15450194,0.20821209,0.27638873,0.34399378,0.39373553,0.41550374,0.41258037,0.39637986,0.37932718,0.37043643,0.37763473,0.4076042,0.45847276,0.51213956,0.53943723,0.51963395,0.45801345,0.3809726,0.31712794,0.2784799,0.26245478,0.26048794,0.26806355,0.2829608,0.30241677,0.3201907,0.33019993,0.33019304,0.3233026,0.3144753,0.30651855,0.29992613,0.29513744,0.2944322,0.29854202,0.30418524,0.30398527,0.29238018,0.26877967,0.2377854,0.20470862,0.17439298,0.15347332,0.15418762,0.19271684,0.2747192,0.38273633,0.47426262,0.509818,0.47765198,0.40420517,0.3280675,0.27592483,0.25019732,0.24127452,0.23976548,0.24252884,0.24899286,0.25748965,0.26436856,0.26672116,0.26398578,0.2585619,0.25382802,0.2529694,0.25714096,0.26543784,0.27558216,0.28519154,0.2922599,0.29420748,0.2890952,0.27645025,0.2592869,0.24155718,0.22733445,0.21884423,0.21840525,0.22633867,0.24022903,0.25248346,0.25485432,0.24163817,0.21406855,0.17794003,0.1419981,0.11390451,0.099479966,0.102462344,0.12570484,0.16972111,0.22892614,0.2901908,0.33794072,0.36259928,0.36516812,0.35305133,0.33495808,0.3195845,0.31974423,0.34894356,0.40898082,0.4785134,0.5213406,0.5124125,0.45768157,0.38782918,0.3328908,0.30337784,0.29239544,0.28855178,0.2862747,0.2850963,0.2865949,0.2905382,0.29561993,0.29985538,0.302471,0.30370158,0.3046188,0.3062024,0.30928993,0.3143587,0.3202822,0.32375416,0.31960535,0.3049524,0.2809486,0.2537177,0.2295854,0.2129054,0.20365624,0.1997924,0.19818221,0.19668125,0.19416328,0.19145171,0.1904492,0.19305915,0.19892214,0.2054367,0.20913453,0.2078212,0.20125385,0.19041789,0.17749731,0.1651826,0.15621783,0.1512944,0.14919542,0.14783658,0.1462181,0.14430697,0.14271381,0.14296176,0.14837734,0.16295302,0.18792708,0.21920352,0.2481577,0.2667948,0.2716384,0.2651699,0.25216904,0.23738228,0.22428483,0.21758789,0.22175415,0.2384725,0.2616301,0.28149295,0.2900516,0.28833655,0.28248352,0.27864185,0.27903435,0.28614756,0.30765262,0.3510908,0.41319147,0.47222224,0.5016791,0.48927355,0.4470388,0.39816412,0.35917398,0.33392787,0.32206932,0.33043656,0.36877283,0.43749604,0.51353544,0.5624261,0.5593311,0.51104254,0.4450275,0.38937175,0.35337606,0.332567,0.31932053,0.311546,0.3104821,0.31604362,0.3239973,0.32871577,0.3269848,0.32058933,0.31359378,0.30908164,0.307477,0.308845,0.31408778,0.32358608,0.33389544,0.33847055,0.33102977,0.30951884,0.2757556,0.23405851,0.19069804,0.1567154,0.14898115,0.18543403,0.2686958,0.37487435,0.45803165,0.48188242,0.4436489,0.37488067,0.3121961,0.27433357,0.259002,0.25576174,0.25745204,0.26197854,0.26976624,0.27996907,0.28925982,0.29384103,0.29209742,0.2859337,0.27843472,0.27179673,0.2670407,0.2650518,0.26670876,0.27138793,0.27627173,0.27744898,0.27252364,0.2616805,0.24723244,0.23165713,0.21770494,0.20824379,0.20723975,0.21647473,0.23411274,0.25148454,0.2581617,0.24507849,0.21242563,0.16757935,0.12351451,0.09048241,0.07517227,0.08070592,0.10969267,0.16146623,0.22864997,0.29660234,0.3500385,0.3798629,0.38611147,0.37408277,0.3520062,0.33095756,0.3272821,0.35555884,0.41590026,0.483627,0.5218792,0.50675577,0.44718334,0.3748288,0.31976724,0.29183137,0.28448257,0.28737557,0.29505512,0.3053408,0.31613708,0.32376394,0.32553792,0.32049194,0.31010202,0.29655367,0.28285584,0.27230975,0.2690678,0.2764348,0.29459468,0.31777993,0.33531153,0.3364384,0.31645694,0.27936432,0.23493701,0.19331324,0.16042936,0.13771398,0.12471992,0.12235808,0.13256317,0.15526646,0.18507011,0.21318322,0.23217656,0.24111505,0.24427378,0.24715789,0.25162828,0.2565309,0.25990224,0.2614931,0.2619413,0.26159278,0.26012293,0.25707242,0.2523837,0.24595086,0.23831844,0.23120974,0.22872771,0.23476303,0.25010622,0.26887736,0.28197217,0.28201357,0.2689447,0.24807592,0.22591905,0.20687981,0.19447744,0.19386196,0.208551,0.23538952,0.2605772,0.26766434,0.24774803,0.20678043,0.16009854,0.12242522,0.101230174,0.09788408,0.11418229,0.15306693,0.21480614,0.28914824,0.35792708,0.4032654,0.4188359,0.41041538,0.39063334,0.3716768,0.36375502,0.3760835,0.41322613,0.46798587,0.5161664,0.52940416,0.49339128,0.4220818,0.34487662,0.28794134,0.25772083,0.24694498,0.2442977,0.2448412,0.24831218,0.25580725,0.2653686,0.27371565,0.2785664,0.28071782,0.282037,0.28339753,0.2840761,0.28357396,0.2828213,0.28260133,0.28154787,0.27608857,0.264313,0.24865443,0.23512429,0.22835208,0.22915645,0.23784088,0.26040378,0.30744362,0.3806444,0.46019337,0.51012516,0.5043792,0.448038,0.37215063,0.3090984,0.2719041,0.25616214,0.25085154,0.24899997,0.2475496,0.2460319,0.24412553,0.24149714,0.2379037,0.23331581,0.22856395,0.2245115,0.2226674,0.22439997,0.23189127,0.24504681,0.26109973,0.27353612,0.27793097,0.27353013,0.26457143,0.25484315,0.24653584,0.23967862,0.23483682,0.2334786,0.23563586,0.23849046,0.23539682,0.22127134,0.1947453,0.16067502,0.12569584,0.09621924,0.07623046,0.06916249,0.07920119,0.10961142,0.1586218,0.21556342,0.26554,0.29707426,0.30912593,0.3080947,0.30210796,0.2972959,0.30044964,0.32167014,0.367872,0.43160048,0.4862894,0.50211054,0.46844935,0.40258905,0.33486214,0.28688288,0.26348022,0.25792405,0.2613369,0.26603392,0.26697668,0.26192912,0.25196204,0.24010237,0.22956282,0.22239731,0.21899877,0.21853846,0.21942298,0.22029485,0.22061212,0.22083299,0.22168052,0.22315978,0.22463232,0.2254109,0.22559369,0.22553907,0.22536449,0.22456855,0.2230225,0.2212019,0.22011934,0.21986409,0.21967848,0.21862505,0.21687257,0.21528243,0.21424888,0.21321772,0.21166474,0.20993263,0.20900851,0.20912063,0.20963484,0.20966518,0.20910116,0.20830101,0.20734037,0.2057829,0.20329519,0.20037548,0.1982454,0.19805743,0.19980055,0.20225911,0.20327663,0.20134656,0.1957949,0.18710071,0.17559512,0.16135484,0.14562519,0.13267775,0.13060956,0.14468385,0.17219335,0.19917674,0.21142584,0.20226467,0.1778618,0.14827989,0.12172408,0.100875326,0.08672142,0.08043904,0.083207555,0.09389234,0.1081037,0.12014592,0.12593238,0.12487187,0.11884671,0.110190846,0.10282371,0.10541298,0.13416684,0.20041673,0.2965643,0.387252,0.43336737,0.41763985,0.35921133,0.29176092,0.24056423,0.21012682,0.19383149,0.18415956,0.17853002,0.1776411,0.18223017,0.19035389,0.1975388,0.20029552,0.19899666,0.19733764,0.19918145,0.20619506,0.21944672,0.23933935,0.26495585,0.2904261,0.3072188,0.30796516,0.29171383,0.263223,0.22967131,0.19857438,0.17947398,0.1866042,0.23240249,0.31424424,0.40566012,0.4685668,0.47922453,0.4446305,0.3927671,0.34947804,0.32351968,0.3114097,0.30694166,0.30810842,0.31383702,0.32236513,0.32952368,0.3318708,0.3279461,0.31910312,0.30765224,0.2955623,0.2840859,0.27437666,0.26847196,0.26805803,0.2734748,0.28118977,0.2865465,0.28583112,0.28036392,0.27339172,0.26787707,0.2638128,0.26079848,0.25921834,0.25845668,0.25509793,0.2428499,0.21929292,0.18836363,0.16186462,0.15165575,0.1639859,0.19338174,0.2261527,0.24840637,0.25492397,0.25042877,0.24312443,0.23834795,0.23627533,0.23499982,0.23261021,0.2281121,0.22337969,0.2256609,0.24939711,0.30347392,0.37999633,0.4472126,0.4733942,0.44727644,0.389572,0.3310111,0.29251114,0.2751709,0.2696481,0.26694468,0.26353982,0.26075184,0.26067102,0.26358166,0.26688418,0.26729584,0.2630322,0.2547733,0.24494211,0.23673783,0.23401256,0.23953879,0.25390923,0.27323017,0.2917108,0.30307046,0.30455342,0.2959245,0.2796309,0.25788614,0.23225962,0.20311546,0.17114411,0.13841806,0.10837233,0.084318824,0.06771419,0.057769418,0.05242112,0.049552854,0.047908697,0.047908336,0.052848067,0.068395555,0.09914559,0.1437251,0.19350117,0.23696105,0.26633802,0.28061596,0.2834948,0.2794741,0.27241477,0.26600763,0.264835,0.27195653,0.2867148,0.30301014,0.31376258,0.31470346,0.30731717,0.29548845,0.2826742,0.27041087,0.25975072,0.25241312,0.24816792,0.24368252,0.23194574,0.20937319,0.17822726,0.14779635,0.12622148,0.1176047,0.1204947,0.13418858,0.15962179,0.19817491,0.24486601,0.28874287,0.3174987,0.3261018,0.31792495,0.30120483,0.2826338,0.26875448,0.26787665,0.2930632,0.34784842,0.4188342,0.471622,0.47902003,0.43648303,0.36959776,0.30724892,0.26699752,0.24737288,0.24091333,0.24033721,0.24307124,0.24771129,0.2533729,0.25828752,0.2616309,0.26378807,0.26596224,0.26851216,0.27079454,0.27264115,0.27603284,0.2831975,0.29416254,0.30393448,0.30591175,0.2946837,0.26991174,0.23503946,0.19661205,0.1637825,0.1490632,0.16746116,0.22617085,0.31478187,0.40053597,0.44837424,0.44169387,0.39514562,0.3374698,0.29208943,0.265155,0.25230515,0.24821444,0.25097868,0.26024556,0.27349964,0.285656,0.29197297,0.29044747,0.28315666,0.27297485,0.26288393,0.2538707,0.24718457,0.24361356,0.2444855,0.24977694,0.2579029,0.26551712,0.26891565,0.2660067,0.2570517,0.24504472,0.2340919,0.22861086,0.2308151,0.23932008,0.24820106,0.24981089,0.23938267,0.21864603,0.19635852,0.18315382,0.18575807,0.20188183,0.22387712,0.2451636,0.26506975,0.28530145,0.30446136,0.3178801,0.32231447,0.31916976,0.31207374,0.30248678,0.29193255,0.2859742,0.29873177,0.3390732,0.40042582,0.45316374,0.470183,0.44394347,0.39572427,0.35121515,0.32466334,0.31333253,0.3091532,0.30685315,0.3044317,0.30157796,0.29796267,0.2946476,0.29267,0.29225194,0.2918493,0.28978184,0.2858882,0.28212264,0.28223386,0.28820303,0.29862165,0.30619177,0.30353466,0.28643933,0.25843927,0.22595651,0.19531868,0.16907845,0.14766967,0.13082175,0.11875564,0.112057276,0.110332794,0.11213603,0.11495466,0.11715569,0.11810123,0.11837656,0.11845162,0.11913375,0.12175421,0.12838443,0.1399983,0.1548102,0.16842955,0.1765881,0.17801447,0.17481245,0.17038007,0.16737862,0.167336,0.17196296,0.1829974,0.20099218,0.22322465,0.24453063,0.2598484,0.26699033,0.2670727,0.26275682,0.25679192,0.25144053,0.24967818,0.25473928,0.26796106,0.28609934,0.30233502,0.31136772,0.3126583,0.3098862,0.30600083,0.30253696,0.30219564,0.31260964,0.34362772,0.39566442,0.45324722,0.48905268,0.48604822,0.44811293,0.39692536,0.3513179,0.318843,0.3000603,0.29865265,0.32241377,0.37068287,0.42789665,0.46680343,0.47034565,0.44178626,0.4021338,0.37041247,0.35340986,0.3470826,0.34502354,0.3437753,0.34198573,0.33949587,0.3366079,0.33401927,0.3322824,0.330819,0.32856557,0.32481346,0.32000163,0.3158039,0.3145372,0.3181348,0.32612452,0.33373868,0.33395073,0.32079396,0.29413864,0.25832433,0.22083203,0.19045676,0.17950176,0.20269005,0.2669247,0.35906148,0.44329724,0.4828368,0.46466422,0.40901387,0.3493305,0.30886486,0.2902711,0.28582585,0.28774917,0.29385558,0.30287376,0.3131596,0.3206873,0.3230354,0.3195192,0.31245705,0.30406272,0.2954,0.2857093,0.2745508,0.26377848,0.25681508,0.2563472,0.26124895,0.26806247,0.27321473,0.27561438,0.27555284,0.27382424,0.27131334,0.26940238,0.26866224,0.2672306,0.26034954,0.24388033,0.21815096,0.19045633,0.17143446,0.1688692,0.18206398,0.20279504,0.22168088,0.23462927,0.24367023,0.25226545,0.260993,0.26784262,0.27127418,0.27201733,0.27141845,0.2703131,0.2712843,0.2823075,0.31558928,0.37470546,0.4441506,0.49096015,0.4899609,0.44226262,0.37585792,0.32068512,0.29054713,0.2807401,0.28028163,0.2820633,0.28418592,0.28750739,0.29153463,0.29469463,0.29492125,0.29175842,0.28589046,0.27836192,0.27040997,0.2642338,0.26366743,0.27074215,0.283337,0.29373506,0.2949839,0.28425434,0.2650846,0.24215408,0.2191013,0.19717337,0.17720877,0.16086833,0.1508526,0.1496469,0.15679766,0.1680271,0.17746763,0.18159582,0.18097544,0.17820585,0.17553724,0.17429644,0.17650706,0.18502004,0.20153654,0.2240588,0.24680619,0.26348308,0.27048314,0.26871896,0.26162946,0.25337794,0.2464435,0.24233498,0.2417932,0.24568069,0.2531415,0.26110485,0.26489675,0.26151454,0.2512038,0.23695274,0.22288571,0.21327497,0.21245027,0.22167958,0.23692787,0.2480096,0.24552606,0.22682561,0.19921716,0.17386186,0.15887421,0.15479828,0.15778233,0.16571574,0.18179865,0.21066017,0.25078228,0.29168856,0.3202553,0.32994238,0.3241078,0.31137273,0.29986453,0.29641756,0.30856773,0.34287253,0.3967301,0.4530231,0.48672175,0.48214927,0.44423226,0.39310107,0.34803367,0.3168082,0.29710063,0.28367317,0.27323312,0.2649862,0.25922048,0.2559249,0.25413188,0.25239387,0.24964671,0.24612235,0.2430342,0.24242085,0.24623843,0.2557297,0.26925087,0.2817829,0.28649032,0.2795696,0.26265356,0.24125403,0.22050636,0.20222485,0.18951207,0.19017272,0.22075091,0.28958583,0.38565513,0.4693329,0.50322044,0.47444534,0.4089953,0.34240603,0.29834607,0.27656043,0.26769844,0.26354626,0.26202884,0.26311934,0.26606873,0.26888737,0.26954475,0.26768994,0.2643125,0.2607088,0.2570295,0.2527645,0.24818867,0.24468382,0.2435645,0.2440279,0.2431878,0.23791067,0.22741269,0.21396153,0.20098251,0.19116838,0.185965,0.18757616,0.19731581,0.21361588,0.2290604,0.23555279,0.22879726,0.21208046,0.19255371,0.17715167,0.16964059,0.17038591,0.17918098,0.19642437,0.22283952,0.25535858,0.28606656,0.30624408,0.31186688,0.30641857,0.29609782,0.2873036,0.2851855,0.29807994,0.33346817,0.39024988,0.4488628,0.48059702,0.4660221,0.41326478,0.3490485,0.3005661,0.2767532,0.27216074,0.27523708,0.27877438,0.28031567,0.28081444,0.28139174,0.28191897,0.28148785,0.27935278,0.2760737,0.27246946,0.2691566,0.26577127,0.26209402,0.25847337,0.25599086,0.25520885,0.2554127,0.25497124,0.2529768,0.2499358,0.24706352,0.24467085,0.24209279,0.23869161,0.23478413,0.23107527,0.22786196,0.22473253,0.22121312,0.21698566,0.21207951,0.20685299,0.20187116,0.19741379,0.19303827,0.18816137,0.18295081,0.17839712,0.17521077,0.17287588,0.17024992,0.16690417,0.16370283,0.16162114,0.16061763,0.15951656,0.15749729,0.15476827,0.15219526,0.15007229,0.14790191,0.14516556,0.14205514,0.1392057,0.13696094,0.13506311,0.1331733,0.13130456,0.12957795,0.12795655,0.12604195,0.123663954,0.12072313,0.11715174,0.112636484,0.10708501,0.10087774,0.09472587,0.08903388,0.08373771,0.078506984,0.073296756,0.06826702,0.06358331,0.059136983,0.05472137,0.05026948,0.045927335,0.04185309,0.03805356,0.03438208,0.03074198,0.027110659,0.023530642,0.02001027,0.016596464,0.013374788,0.0104551725,0.007883931,0.0056677065,0.00380975,0.0023486707,0.0013067229,0.0006568904,0.00031631012,0.00019821078]