[0.0007139762,0.002644404,0.009878569,0.027282635,0.058303785,0.10159049,0.14941786,0.19176485,0.22037198,0.23176146,0.22626711,0.20741534,0.18108673,0.15400247,0.13161969,0.11633397,0.108261704,0.10605541,0.108358614,0.113870196,0.12186565,0.13112445,0.13955575,0.14416756,0.14307971,0.1367602,0.1277521,0.11905237,0.1129711,0.111407876,0.11568757,0.1261835,0.14161073,0.15993892,0.17936252,0.19861431,0.21582244,0.2276593,0.229878,0.21975827,0.19850053,0.17202221,0.14834398,0.1339777,0.13087831,0.13679875,0.14690395,0.15638892,0.16141133,0.16029777,0.1531942,0.14252293,0.13123468,0.12211075,0.11602474,0.11283642,0.111732006,0.11224673,0.11358991,0.11477544,0.114986576,0.11474834,0.11542859,0.11840159,0.1235422,0.1298471,0.13564211,0.13978863,0.14137308,0.14029,0.13703822,0.13287683,0.12918742,0.12653309,0.12433193,0.12118242,0.116574764,0.111228585,0.10690262,0.10415248,0.10218068,0.098992854,0.09383888,0.08734562,0.08150599,0.078195535,0.07911008,0.085488655,0.09683791,0.11002458,0.11925188,0.12029204,0.11290616,0.101932205,0.09267176,0.08792391,0.08645934,0.08572822,0.08410316,0.08157631,0.07865714,0.075175084,0.07069093,0.065180205,0.05959617,0.055040643,0.052127376,0.050552417,0.04958424,0.048449498,0.04673347,0.044366222,0.041587606,0.038745116,0.03616831,0.034019392,0.032272886,0.030742044,0.029211067,0.02755198,0.02580469,0.024126818,0.022701332,0.021638652,0.020993426,0.02076663,0.02091533,0.02130063,0.02172604,0.022008201,0.02204586,0.0218418,0.021498496,0.02212841,0.02697963,0.042503055,0.07495011,0.12552772,0.18549287,0.240169,0.27622673,0.28931037,0.28289795,0.26370072,0.23756216,0.20923275,0.18378979,0.16526817,0.15540005,0.15247084,0.15395015,0.1578574,0.16314311,0.16824937,0.17128979,0.17142124,0.16937329,0.16613026,0.16125679,0.15358452,0.14330399,0.13321947,0.12697019,0.12688516,0.13260917,0.14257614,0.15498637,0.16896193,0.18391353,0.19904928,0.21258913,0.22180784,0.22438079,0.21970783,0.21003412,0.19986244,0.19455124,0.19793779,0.21005523,0.22661246,0.24084918,0.24695997,0.24290377,0.2306558,0.21464819,0.19867136,0.18461668,0.17252684,0.16246523,0.15492879,0.15044646,0.14887059,0.1493582,0.15075892,0.15134837,0.14957102,0.14478286,0.13819312,0.132006,0.12794596,0.12622444,0.12531847,0.12299525,0.11743063,0.10862296,0.09854492,0.08997657,0.08483266,0.0831973,0.08395785,0.08575643,0.08772535,0.08941907,0.09059882,0.09112868,0.0910072,0.09047693,0.08989138,0.08957688,0.08964623,0.09014192,0.091272704,0.093474634,0.09708592,0.10168618,0.105977826,0.108277984,0.10773522,0.104888946,0.101393335,0.09897601,0.09876669,0.101237,0.10590155,0.11097053,0.11309258,0.108928956,0.09723776,0.080277994,0.0627218,0.048835248,0.040573925,0.03791559,0.041157395,0.051594466,0.069285475,0.09040204,0.10767072,0.11527396,0.112739176,0.10509331,0.09861544,0.097125776,0.100668035,0.10653007,0.111251414,0.11223692,0.10892645,0.1024957,0.094991215,0.088243864,0.083699465,0.082669586,0.08661731,0.09593306,0.10858046,0.119280614,0.12224922,0.11456201,0.098623686,0.08008597,0.064224385,0.053365786,0.04800436,0.04909043,0.058433603,0.07642999,0.100688435,0.12750159,0.15463139,0.181403,0.20705001,0.23000711,0.24920355,0.26399446,0.2730235,0.27393925,0.26688054,0.25581473,0.24641985,0.24034311,0.23456569,0.22549582,0.21466644,0.20867167,0.2136683,0.22945379,0.24859063,0.26117277,0.2614616,0.25102085,0.23700829,0.22658245,0.222498,0.22229564,0.22076477,0.21380687,0.19983293,0.18082131,0.1601315,0.14168729,0.127439,0.11810294,0.113157816,0.11210347,0.11431687,0.11993339,0.13060948,0.1482784,0.17170848,0.19393246,0.20597653,0.20420076,0.19454104,0.18771791,0.19108309,0.2040723,0.22153312,0.23791254,0.24977235,0.2543821,0.2501242,0.23789048,0.2223025,0.20964615,0.20321137,0.2017383,0.20134383,0.19999598,0.19788723,0.19568639,0.19299577,0.18990898,0.18906349,0.19470161,0.20944865,0.2308652,0.25257146,0.26817223,0.27550337,0.2765706,0.2748251,0.2725354,0.2700026,0.26632354,0.25991738,0.25045636,0.23965485,0.23228423,0.23300855,0.24419118,0.2631547,0.28468132,0.3030764,0.3146466,0.3172625,0.31051955,0.2964978,0.27934423,0.263931,0.25330442,0.24875176,0.2498966,0.2551097,0.2613931,0.265028,0.26296994,0.25324312,0.23567219,0.21231167,0.18757696,0.16646516,0.15187238,0.14378248,0.14030682,0.14014977,0.1428038,0.14779675,0.15300082,0.15555046,0.15355332,0.1476946,0.1403022,0.13343786,0.1279205,0.123843886,0.1218135,0.12289915,0.12765707,0.13524012,0.14424552,0.1552701,0.17129363,0.19548655,0.22660196,0.25880295,0.28408432,0.29682335,0.2954048,0.28306755,0.26695263,0.25476348,0.25024447,0.25064972,0.25032017,0.24578494,0.23879932,0.23379439,0.23404948,0.23939197,0.24693732,0.2531604,0.25535777,0.252462,0.24508311,0.2356823,0.22789828,0.22522227,0.22857498,0.23518212,0.23942618,0.23678273,0.22657204,0.21237384,0.19886427,0.18962371,0.18652445,0.19004501,0.19921947,0.21117735,0.22321737,0.23350142,0.24140818,0.24490894,0.24185896,0.23196088,0.2196054,0.2116782,0.21383707,0.22682072,0.24611406,0.26450428,0.2755824,0.27662578,0.2688659,0.25599122,0.24216425,0.23036712,0.22228934,0.21792226,0.21646579,0.21633507,0.21598285,0.21309744,0.20544924,0.19261767,0.17940791,0.1743548,0.1832125,0.20201701,0.21848203,0.22206502,0.21173291,0.19513054,0.17979638,0.16798168,0.15765686,0.14740515,0.13862456,0.13344465,0.13207431,0.1317458,0.12943433,0.12391918,0.11679348,0.11058074,0.10721179,0.107132204,0.109637916,0.11372772,0.1183962,0.12285447,0.12614614,0.1276833,0.12759684,0.126904,0.1266688,0.12733549,0.12862946,0.12998201,0.1307482,0.13033926,0.12832052,0.124727435,0.11996714,0.11476493,0.10991564,0.10653156,0.10579965,0.10863832,0.114554614,0.12139388,0.12581278,0.12536131,0.1197012,0.11095867,0.10199856,0.095163755,0.09138396,0.09081024,0.09334678,0.09862903,0.105479725,0.111540794,0.114600845,0.11396574,0.11279333,0.118015885,0.13926327,0.18071677,0.23542638,0.2836561,0.30675796,0.2988766,0.2717935,0.24336503,0.22651313,0.22399312,0.23156619,0.24300633,0.25310493,0.25976205,0.26343808,0.26607344,0.26853916,0.27014133,0.26944628,0.26648185,0.26277483,0.26048672,0.2601981,0.26160133,0.2634985,0.26564696,0.2679672,0.2713659,0.27619,0.2816832,0.28487894,0.28192493,0.2705485,0.25156134,0.22900121,0.20773853,0.19255883,0.18641765,0.19045578,0.20269828,0.21905859,0.23461486,0.24597342,0.25160113,0.25127882,0.2450542,0.23365384,0.21908699,0.2046972,0.19359505,0.18736283,0.1857335,0.18813486,0.19445173,0.20538123,0.22064649,0.23839895,0.25480333,0.26611897,0.27073374,0.2717103,0.2765673,0.2934862,0.32284424,0.35432574,0.37126508,0.36507797,0.33925164,0.3068451,0.2779817,0.25736177,0.24421895,0.23678355,0.23266284,0.2294157,0.22483426,0.21785791,0.2086727,0.19869696,0.19014722,0.1866142,0.19239564,0.21041478,0.23892121,0.27032045,0.2943516,0.30313733,0.2957438,0.27850726,0.26148406,0.25210267,0.2501314,0.24955021,0.24450588,0.2352,0.22565402,0.21864893,0.21254557,0.2037903,0.19126207,0.1770009,0.16500334,0.15818806,0.15844609,0.16605507,0.1796168,0.19501555,0.20627469,0.20905264,0.2029962,0.19252484,0.18301766,0.17826773,0.17816108,0.1797924,0.17990857,0.17700197,0.1720658,0.1658758,0.15847512,0.14912672,0.14073141,0.14058085,0.15975098,0.20194264,0.2573485,0.30145314,0.31392607,0.29110038,0.2494362,0.20893252,0.1814022,0.16756974,0.16425575,0.17034514,0.18692516,0.21381159,0.24576765,0.27334264,0.28756264,0.28493065,0.26834175,0.24429174,0.21899773,0.19736153,0.18297957,0.17982657,0.19051726,0.21478926,0.2462883,0.2751125,0.29159412,0.2923384,0.2803407,0.2628065,0.24608195,0.2334733,0.2244155,0.21649228,0.20727694,0.19625698,0.18428995,0.17289777,0.16301388,0.1557133,0.15244533,0.15461022,0.16133343,0.16849305,0.17053966,0.16449408,0.1520613,0.13839693,0.1284952,0.1248946,0.12701978,0.13294484,0.14140524,0.15349357,0.17130585,0.1951592,0.22145241,0.24478473,0.26257935,0.27820873,0.29699063,0.3179418,0.3300488,0.32001033,0.2855225,0.23938493,0.20117392,0.18385023,0.18852502,0.20757641,0.2309549,0.25099915,0.26324597,0.26614162,0.2593545,0.24414594,0.22348909,0.2016291,0.18232436,0.16754593,0.15755707,0.1516368,0.14864226,0.14708024,0.1453688,0.1422678,0.13748938,0.1317486,0.1264808,0.12308181,0.1223155,0.123881124,0.1266249,0.12911229,0.13031988,0.13020736,0.13019831,0.13382187,0.1452869,0.16633141,0.19278888,0.21686225,0.23316218,0.24310593,0.25154936,0.26010928,0.2653194,0.2629929,0.2535945,0.24190353,0.23301637,0.22853082,0.22645962,0.22459991,0.22322226,0.2253821,0.2322679,0.2406197,0.24331206,0.23714493,0.22738732,0.22750495,0.24599396,0.2786173,0.3074354,0.31927103,0.31309357,0.29980907,0.28534743,0.2689458,0.24687326,0.22177829,0.20013924,0.1869223,0.18175346,0.18062092,0.17988475,0.17838748,0.17789583,0.18082093,0.18964575,0.20520721,0.22743154,0.2530204,0.27745155,0.2954398,0.30506787,0.30605695,0.2994744,0.2857607,0.26811048,0.2524431,0.24526882,0.24733622,0.25261533,0.2519684,0.24025042,0.21949373,0.19772635,0.18436356,0.1851267,0.19926529,0.2202112,0.24028914,0.2547707,0.26331314,0.26760122,0.26932213,0.2694457,0.26814857,0.2640811,0.2542264,0.23605563,0.21083586,0.18412058,0.16266179,0.14931868,0.14193146,0.13556327,0.12717135,0.11837381,0.11629948,0.13184763,0.17160974,0.229187,0.2822262,0.3064314,0.29275873,0.25384983,0.21191843,0.18268128,0.16936803,0.16715075,0.17010784,0.175071,0.18093632,0.1876867,0.19348349,0.19652648,0.19517279,0.19036795,0.18345438,0.17643237,0.17115426,0.16990894,0.17481309,0.18579082,0.20038278,0.21356322,0.22259863,0.22799526,0.233736,0.24089539,0.2468633,0.24620368,0.23667306,0.2197385,0.19996308,0.18118797,0.16575812,0.154013,0.14543806,0.13936812,0.1357855,0.13570935,0.14069451,0.15144038,0.16686928,0.18408965,0.2004382,0.21401243,0.22439669,0.23140569,0.23558728,0.23789756,0.23992972,0.24287218,0.24644275,0.24837452,0.24561296,0.23661621,0.22321981,0.21121897,0.20878065,0.223532,0.25440943,0.28943458,0.30796063,0.2980059,0.2626057,0.21955208,0.18430124,0.16325803,0.15288377,0.14786603,0.14510737,0.14401539,0.14458604,0.14559962,0.14522952,0.14248012,0.13832913,0.13516511,0.13446414,0.13582474,0.13685702,0.13588218,0.13284801,0.13011341,0.13020605,0.13500835,0.14454465,0.15753853,0.17167826,0.1844418,0.19354868,0.19686997,0.19298655,0.18206269,0.16704123,0.15249127,0.14275834,0.14012416,0.14488828,0.1557997,0.17087068,0.18794625,0.20530401,0.22107305,0.23288214,0.23759587,0.23325743,0.21994114,0.2007366,0.17967993,0.16054434,0.14522003,0.13469988,0.12966338,0.13019545,0.13451801,0.13850887,0.13826092,0.13274007,0.12529875,0.121753015,0.12695779,0.1418698,0.16230692,0.18159777,0.19395308,0.19788522,0.19556224,0.19084279,0.18662763,0.18406354,0.1826665,0.1811762,0.17842889,0.17412233,0.16897726,0.16432643,0.16128744,0.16014372,0.16022319,0.1605034,0.16079645,0.16266543,0.1686895,0.1801843,0.19520348,0.2094201,0.21853101,0.22073919,0.21683477,0.21056558,0.20717897,0.21176338,0.22470212,0.24116345,0.25295556,0.2557804,0.25084612,0.24444163,0.24056327,0.24006349,0.2399248,0.23829927,0.23427486,0.22935028,0.22578697,0.22682112,0.23368157,0.2448089,0.25525212,0.26023546,0.25678256,0.24679296,0.2356838,0.23067485,0.23473142,0.24479978,0.25348175,0.2555103,0.25225583,0.25124168,0.26238093,0.28919837,0.32577667,0.3568379,0.37040368,0.3641044,0.34720612,0.32985628,0.3175532,0.3100204,0.30674323,0.30987158,0.32219437,0.34281054,0.36507252,0.38097325,0.38712037,0.38545612,0.37951326,0.36958995,0.35531083,0.3389851,0.32777247,0.330492,0.34892955,0.37585595,0.39442113,0.39445972,0.3759052,0.35312447,0.33877292,0.33954433,0.35089424,0.36494943,0.3743703,0.3767512,0.37369475,0.36877346,0.3648673,0.36330274,0.36368063,0.3647815,0.3651372,0.36388823,0.36150995,0.35942316,0.36038718,0.36528027,0.37303713,0.37866512,0.37860143,0.37167093,0.36141777,0.35198203,0.34661758,0.34584975,0.34796014,0.350148,0.35010216,0.34817156,0.34795418,0.3553121,0.37364796,0.3987293,0.4175156,0.41618466,0.39037386,0.34934422,0.30808207,0.27772748,0.26100278,0.25733212,0.26732382,0.29385564,0.3346624,0.3794681,0.41224328,0.42404902,0.4171526,0.40225223,0.38699102,0.37321147,0.36056712,0.3518413,0.35374776,0.369091,0.39288202,0.4105536,0.4102975,0.38985166,0.3601899,0.334386,0.32026824,0.31644794,0.3175774,0.31864318,0.317632,0.31433284,0.30925885,0.3029935,0.29677966,0.29232445,0.29062143,0.29126543,0.29288125,0.29600048,0.30345044,0.31891158,0.34115312,0.36331165,0.3757575,0.3744575,0.36287522,0.3490962,0.33893946,0.3334384,0.33051655,0.32772636,0.32412687,0.31952623,0.3154923,0.31552848,0.32643107,0.3514714,0.38641632,0.4153335,0.4241338,0.40785336,0.37774166,0.34773967,0.3275249,0.31700417,0.31458727,0.32174394,0.34097746,0.36917603,0.3945059,0.40662852,0.40349123,0.39275885,0.3795848,0.36427703,0.34391508,0.32305852,0.3118187,0.32232216,0.35437992,0.39537635,0.42259088,0.42326054,0.39800724,0.36198437,0.32888943,0.3090298,0.3045086,0.3126314,0.32401213,0.3292962,0.3247722,0.31559488,0.3098184,0.31073996,0.3152844,0.31741452,0.3145927,0.3077681,0.30143216,0.30026972,0.30879366,0.3269023,0.34910384,0.36556268,0.36941803,0.36009443,0.34369838,0.32770884,0.31759402,0.31438187,0.3153561,0.31643903,0.3149854,0.31305277,0.3169125,0.33416978,0.36449492,0.39674017,0.41295147,0.40436792,0.3772284,0.34821525,0.3292879,0.32177472,0.3211439,0.32552215,0.33975482,0.36681792,0.40131083,0.42738986,0.4333571,0.41962686,0.39872172,0.38041303,0.3665059,0.3539373,0.344519,0.34625435,0.36487827,0.3954204,0.42027518,0.42272022,0.3986499,0.3608319,0.32691675,0.3082774,0.3056421,0.31510517,0.33347997,0.3602861,0.39198673,0.4199868,0.43193457,0.4227122,0.39883077,0.376658,0.3709729,0.3856171,0.41087127,0.4294225,0.42976663,0.41306928,0.3912276,0.3736757,0.3622843,0.3524809,0.34184292,0.3307047,0.32168373,0.31549954,0.3119206,0.30960897,0.30854282,0.3103536,0.31883502,0.33840898,0.36960527,0.4052206,0.43011558,0.4311653,0.40700933,0.3703059,0.33788848,0.3190731,0.31326044,0.31570756,0.32660505,0.34974575,0.3850704,0.42112705,0.4419191,0.43973455,0.4218665,0.4017521,0.3872536,0.37683454,0.367206,0.35945264,0.360449,0.37314367,0.39151922,0.39910468,0.38396516,0.34674928,0.30354872,0.271167,0.25835267,0.26083174,0.26820156,0.26983947,0.26159015,0.24684119,0.23380588,0.22914338,0.23278253,0.23944236,0.24364232,0.24648917,0.25315765,0.26893872,0.29263481,0.3193662,0.34179053,0.35443592,0.35379687,0.34166935,0.32415,0.30867705,0.29883674,0.29297698,0.28691062,0.27771392,0.26611224,0.25575122,0.25234613,0.26211926,0.29009876,0.3330892,0.37683582,0.399281,0.38769844,0.34703758,0.29805207,0.25955173,0.23955989,0.23604989,0.24627344,0.270869,0.30772877,0.3473418,0.37330595,0.37692547,0.362216,0.34391728,0.33225584,0.33033025,0.3349657,0.34518525,0.36139038,0.38476607,0.41152024,0.43271995,0.43754116,0.4225496,0.39519274,0.3691204,0.35398874,0.35039496,0.35222515,0.352234,0.34657124,0.33523378,0.32161677,0.30950633,0.30170727,0.29785457,0.295844,0.29288852,0.2882271,0.2833811,0.2820642,0.28847626,0.30369833,0.32345387,0.33797696,0.33966932,0.3281441,0.31167027,0.29912767,0.2947726,0.29641286,0.2996517,0.30038005,0.2965883,0.2891177,0.28350714,0.2896328,0.3143227,0.3525422,0.3846008,0.39022842,0.36418355,0.32099834,0.28113642,0.25620022,0.24591713,0.24662156,0.25910768,0.28655294,0.326112,0.365442,0.38963524,0.3931166,0.38108143,0.3621538,0.33959457,0.313619,0.28748834,0.2702147,0.27289906,0.29845986,0.33778182,0.3697176,0.37803927,0.36048654,0.3315922,0.30683604,0.29329342,0.28886843,0.2911125,0.30249777,0.3257686,0.35628274,0.37976336,0.3814405,0.35837793,0.3225089,0.29373375,0.2878189,0.30797198,0.3429364,0.37288547,0.38348344,0.3733685,0.35210076,0.3273823,0.30131242,0.27287388,0.24453288,0.22020836,0.20254914,0.19045395,0.18162966,0.17460503,0.16975844,0.16976042,0.17832857,0.20053452,0.23740195,0.28389212,0.3262327,0.35177734,0.3552358,0.3431529,0.32557902,0.3104621,0.3005612,0.29646564,0.29810968,0.30483556,0.31473544,0.32501012,0.33315638,0.3377081,0.33832693,0.33519557,0.32929274,0.3226006,0.31828555,0.31935263,0.32636645,0.33644855,0.34378794,0.34421265,0.3372303,0.32712904,0.31834412,0.31383166,0.31311718,0.3147665,0.31672928,0.31815475,0.31867242,0.31851232,0.31743553,0.3152741,0.31244645,0.31078255,0.3129969,0.3205265,0.33179262,0.3420622,0.34770548,0.34831,0.3470174,0.34561527,0.34399462,0.34059712,0.33618566,0.33280793,0.33262828,0.33460227,0.33499742,0.32887754,0.31464723,0.29575884,0.2796527,0.27322638,0.27831328,0.2903224,0.29992795,0.2994477,0.28708354,0.2681076,0.24963552,0.23666914,0.23060887,0.23134266,0.23844491,0.25098535,0.26635337,0.28040776,0.28897408,0.2904291,0.28584906,0.27795455,0.26877692,0.25968948,0.25224367,0.24880187,0.25213948,0.26171353,0.2732363,0.27876356,0.27433154,0.2613369,0.24715716,0.23798765,0.2369101,0.24214037,0.24961759,0.2548778,0.25583246,0.25356147,0.25102192,0.25053254,0.2523752,0.2555871,0.25926116,0.2638445,0.26945555,0.2756637,0.28031182,0.28261647,0.28209594,0.27895102,0.27186552,0.26093176,0.24903317,0.24169856,0.24339502,0.25374392,0.26768804,0.27785847,0.2799185,0.2741948,0.2659966,0.26114509,0.26428196,0.2740389,0.285259,0.288934,0.28233024,0.2681079,0.25544748,0.24930517,0.25088477,0.25688377,0.26523748,0.27506843,0.28576234,0.2955587,0.30151463,0.30287924,0.30119345,0.29951414,0.29798687,0.29476336,0.28798544,0.27944684,0.273124,0.27228197,0.2762988,0.2811075,0.28271317,0.28020594,0.27670884,0.2762023,0.2818444,0.29316685,0.30647734,0.31500188,0.31398997,0.3040515,0.29087648,0.2801168,0.2734884,0.27024725,0.26997435,0.2736216,0.28130576,0.29090932,0.29924825,0.3042667,0.30612636,0.30600196,0.3043928,0.30115256,0.29616877,0.2907511,0.2868271,0.2865523,0.2897665,0.2938882,0.29411158,0.288067,0.27738583,0.2681485,0.26601183,0.27282897,0.28412178,0.29144785,0.28819337,0.27445093,0.2571439,0.24369429,0.23740204,0.23663379,0.2388668,0.2427632,0.24844874,0.25520417,0.26141417,0.26507565,0.26597407,0.2646606,0.26184776,0.2573764,0.25222984,0.24869584,0.24949038,0.2554563,0.26427045,0.27168557,0.27298144,0.267063,0.25634715,0.24717194,0.24486892,0.25245968,0.26687884,0.28123653,0.2871747,0.2818003,0.26858032,0.25478414,0.24516837,0.24005724,0.23809606,0.23917438,0.24570544,0.25732398,0.27043557,0.27779055,0.27746484,0.2714603,0.26557884,0.26078865,0.2566819,0.2522347,0.25040337,0.25394893,0.26245344,0.26923344,0.26566973,0.24866432,0.22582638,0.21216868,0.22145076,0.2604119,0.3236576,0.3927705,0.43889713,0.4407612,0.39967456,0.34056368,0.29115474,0.26394233,0.25503123,0.2562102,0.2643055,0.27821842,0.2945389,0.3056504,0.30743974,0.30072185,0.29144108,0.28287253,0.2762441,0.2707348,0.26773784,0.26925883,0.27678826,0.28728202,0.2944342,0.29122424,0.2775678,0.2600846,0.25149703,0.26296964,0.30022645,0.35445705,0.40426588,0.42497137,0.40878823,0.36727235,0.3222256,0.2862796,0.2621247,0.24729997,0.24355958,0.25294065,0.2731818,0.29442593,0.3058592,0.30320433,0.29101327,0.27681783,0.26479277,0.25518212,0.24876074,0.24851441,0.2578769,0.27420184,0.28954437,0.2933203,0.2829063,0.26428255,0.25188056,0.25921467,0.29467288,0.35257122,0.4137235,0.4515846,0.45132145,0.41744295,0.3702918,0.32866225,0.3017256,0.289024,0.2864201,0.29009834,0.29574558,0.30034605,0.3014976,0.3014017,0.3032824,0.30948922,0.31697616,0.32122502,0.32070494,0.31932142,0.32338896,0.33432314,0.34760964,0.35351348,0.3471682,0.3297629,0.31177858,0.30516985,0.3217592,0.36170948,0.41042802,0.43990484,0.4293977,0.38053414,0.317041,0.26479623,0.23517007,0.22527392,0.22798382,0.24064572,0.2606559,0.282477,0.2955873,0.29472426,0.28101492,0.2628385,0.24548315,0.23210299,0.22301863,0.22119375,0.22936016,0.24790639,0.271139,0.28958857,0.2955579,0.28895867,0.27818704,0.2766625,0.29721847,0.34371594,0.40325856,0.4485817,0.45532653,0.42255488,0.37163982,0.3284208,0.30210772,0.2888066,0.28190163,0.28264818,0.29322794,0.3116072,0.3291081,0.3384204,0.33712247,0.32830685,0.31536278,0.30129302,0.28827783,0.27959156,0.27760172,0.28350556,0.29422006,0.30401027,0.30565748,0.29731908,0.2839109,0.277303,0.29001412,0.32842705,0.384503,0.43557927,0.45607078,0.4361087,0.38815555,0.3361858,0.2968714,0.27262446,0.2584621,0.25184235,0.25562906,0.27067327,0.29201508,0.30875894,0.31427076,0.30842912,0.2970942,0.2844099,0.2725605,0.26376125,0.26212582,0.2722857,0.2927647,0.31670496,0.3320612,0.33288753,0.31936708,0.3027991,0.2972124,0.31775406,0.36442837,0.41932216,0.44955263,0.4349754,0.3805847,0.31430832,0.26112863,0.23071931,0.2183239,0.21728982,0.2250547,0.23924534,0.2552509,0.2648783,0.26540804,0.25843674,0.25020245,0.24269785,0.23656951,0.23152049,0.2305576,0.23700126,0.25084928,0.26677498,0.2756159,0.2720874,0.25769445,0.2421631,0.237507,0.25536266,0.2983458,0.35497978,0.3997703,0.40959263,0.38012424,0.3279503,0.27602866,0.23769675,0.21573691,0.20805518,0.21419924,0.23110206,0.25170568,0.26497796,0.2654678,0.25486082,0.2409699,0.22839372,0.21837305,0.20986766,0.20495933,0.20736688,0.21972172,0.23848355,0.25445417,0.2578424,0.24650037,0.2283826,0.21881293,0.23328273,0.2792482,0.34694573,0.40947258,0.43695593,0.41892406,0.37051663,0.31960538,0.28475142,0.26927605,0.2670946,0.273432,0.28516266,0.2989715,0.3090633,0.31230828,0.3096396,0.30569032,0.30257046,0.2999403,0.29608437,0.2926797,0.29268268,0.2997214,0.31173897,0.32349285,0.32649425,0.31906688,0.30528933,0.2965465,0.30290022,0.33059546,0.37375414,0.41491356,0.43131995,0.41255367,0.36752892,0.31867716,0.2836555,0.2675021,0.2650306,0.27028978,0.28057185,0.29345754,0.3048717,0.30813834,0.3013533,0.28716826,0.27284652,0.26173675,0.25412238,0.2481423,0.2452537,0.24892807,0.26072598,0.2770367,0.28955844,0.2925417,0.28548303,0.27616358,0.27545333,0.29609975,0.34057704,0.3965455,0.4358549,0.43677202,0.398272,0.34199682,0.2916781,0.25893453,0.24275708,0.23841007,0.2436219,0.25549117,0.26922944,0.27820417,0.2802116,0.2768766,0.2724235,0.26831123,0.26590374,0.26709715,0.27566946,0.2927408,0.31507817,0.3350986,0.34503987,0.3415251,0.32758585,0.3117343,0.3043736,0.31625146,0.35139534,0.40092468,0.44023028,0.445032,0.40901172,0.34988937,0.2931822,0.2544544,0.23470168,0.22894906,0.23441525,0.24967758,0.27058637,0.28861597,0.2964457,0.29194376,0.27913305,0.26305342,0.24759108,0.23502602,0.22845758,0.23112942,0.24492355,0.26617217,0.28628424,0.29436895,0.28631783,0.26720113,0.2521864,0.25755438,0.29265532,0.34757462,0.39592835,0.40917647,0.38110933,0.3299596,0.28364778,0.256032,0.24516286,0.24255824,0.24594955,0.2583747,0.28178695,0.3112934,0.3370646,0.35131833,0.3522117,0.34297624,0.3272475,0.3082441,0.28967336,0.27687454,0.27523673,0.28594723,0.30453688,0.32110676,0.32804492,0.32353863,0.31560734,0.31657124,0.3386339,0.38170496,0.43027198,0.45752847,0.44594398,0.39887533,0.33867517,0.28781018,0.2562851,0.24180587,0.23877096,0.24574663,0.261544,0.28216848,0.29757598,0.3014133,0.29306054,0.27941406,0.26609948,0.2572448,0.25471914,0.26042596,0.27449837,0.29320082,0.30969462,0.31602558,0.30962494,0.29431412,0.28087068,0.28089646,0.30476463,0.35230353,0.40850976,0.44426084,0.43682906,0.38693222,0.31975558,0.26431903,0.23487298,0.22947799,0.23931448,0.2584149,0.28234008,0.30703565,0.32593432,0.33528265,0.3342506,0.32659724,0.31488243,0.30088782,0.28503403,0.270591,0.2623377,0.26449704,0.2749544,0.28582427,0.28725314,0.27625412,0.2589246,0.24967106,0.2634693,0.30713528,0.36872765,0.42018685,0.4328263,0.40081927,0.3429655,0.2894172,0.25797796,0.25096667,0.25950837,0.27600798,0.29566157,0.31594762,0.33252457,0.34059092,0.33753255,0.32548878,0.30940744,0.29437461,0.28309837,0.27674916,0.27527937,0.2796429,0.28892636,0.30047265,0.30745196,0.30597305,0.2967318,0.2895713,0.29708254,0.3294148,0.38184035,0.43402782,0.4589163,0.44474557,0.4018309,0.35399225,0.31763485,0.2955315,0.28286123,0.2773163,0.2812003,0.29378736,0.30928758,0.31750023,0.3152068,0.30536297,0.295655,0.2885034,0.2833686,0.27895942,0.27800566,0.28447247,0.2984658,0.31391504,0.32072818,0.31348726,0.29471123,0.27576673,0.27077696,0.29213247,0.3400364,0.3968574,0.43132934,0.4205157,0.3674314,0.29953992,0.24679385,0.2226326,0.2227562,0.23554043,0.25338072,0.27171803,0.2878923,0.29701248,0.298532,0.2944237,0.28985953,0.28496397,0.27806506,0.267545,0.25743052,0.2542661,0.2619947,0.27719375,0.2898327,0.29062045,0.27739072,0.2583613,0.24846156,0.26369637,0.30938005,0.37191156,0.4210062,0.43107235,0.40054628,0.35146138,0.3091702,0.28476956,0.27654842,0.27873603,0.28844962,0.30143714,0.3128473,0.31696197,0.31461385,0.30871627,0.30371425,0.29837453,0.2918086,0.28379893,0.27875707,0.28028843,0.290694,0.3073492,0.32473904,0.3348054,0.33345768,0.32313737,0.31495118,0.32209006,0.3515686,0.39453816,0.4287618,0.43184736,0.39920712,0.34551808,0.29316184,0.25524977,0.23355167,0.22353984,0.22296274,0.23165329,0.24826717,0.26687145,0.27964434,0.28274274,0.27851912,0.27221498,0.26693824,0.26292244,0.2605393,0.26180407,0.26964524,0.28274882,0.2947903,0.29634425,0.28404492,0.26348734,0.24825986,0.25191456,0.28240302,0.33529627,0.39185032,0.4258007,0.4200597,0.3794675,0.32593313,0.28193668,0.25640592,0.2470528,0.2476228,0.25548348,0.26758528,0.27983475,0.28541604,0.2827263,0.27426052,0.266078,0.25983927,0.25492904,0.24994014,0.24741493,0.25146112,0.26311293,0.27740744,0.28452122,0.27899125,0.2626867,0.24688901,0.2445788,0.26721534,0.31464854,0.37172344,0.41149473,0.41436687,0.38264963,0.33809304,0.3034831,0.2880685,0.28853846,0.29749942,0.30966786,0.3218269,0.33190894,0.33856857,0.34103957,0.33855477,0.33083797,0.3188922,0.30532622,0.2928848,0.28299323,0.27559307,0.26992604,0.26529267,0.26061782,0.25451794,0.24612527,0.23587053,0.22483003,0.2126622,0.19743799,0.17741887,0.15389252,0.1309037,0.112775095,0.10124416,0.0951424,0.09201526,0.08975565,0.08734593,0.084400296,0.08093358,0.07706074,0.073211916,0.06998664,0.06798201,0.06743889,0.068091206,0.0692751,0.07030615,0.071680896,0.075951554,0.08758116,0.10918217,0.13857824,0.16799684,0.18965526,0.19968514,0.2003197,0.19638692,0.19370759,0.19578576,0.20336924,0.2127058,0.21976985,0.22311121,0.22601564,0.23202676,0.24088533,0.24855535,0.25046498,0.24578412,0.23643959,0.22653104,0.21984927,0.21923254,0.22413115,0.23020828,0.23141824,0.22436829,0.2113357,0.19920863,0.19478948,0.19990645,0.21019413,0.21889055,0.22176923,0.22028156,0.22165406,0.2367409,0.27471623,0.3330723,0.3945241,0.4338299,0.43782854,0.41278002,0.3791618,0.35309765,0.3393432,0.3346804,0.33733094,0.35134742,0.37870178,0.41292706,0.43644038,0.43670902,0.41414747,0.38327125,0.35590908,0.33672377,0.3244433,0.32145607,0.33271757,0.35999274,0.39457822,0.41927,0.41949892,0.39496303,0.35989103,0.33182558,0.31959525,0.32157338,0.33260074,0.35031807,0.37632653,0.40751532,0.43403694,0.44040728,0.4218398,0.38616857,0.35151055,0.32931992,0.3217641,0.3234261,0.32993898,0.3400056,0.35226953,0.3630515,0.36547664,0.3565718,0.33851027,0.31908453,0.3045884,0.29899207,0.30228177,0.311905,0.3220916,0.32691193,0.32499066,0.32265747,0.33191678,0.36001202,0.40043473,0.43242738,0.43608114,0.40811935,0.36333203,0.3218899,0.29417276,0.2809025,0.27964446,0.2929571,0.3243855,0.36983538,0.41396666,0.43824038,0.43647256,0.41650796,0.39222205,0.37042364,0.35244307,0.33947298,0.33729813,0.35235667,0.38406697,0.4203403,0.44108978,0.43261644,0.3982593,0.3563969,0.3254249,0.31215957,0.31175664,0.3153999,0.3165695,0.313363,0.307174,0.30092236,0.29597434,0.29177085,0.28670415,0.280761,0.2762266,0.2764459,0.2837279,0.29806638,0.31691828,0.3351926,0.34650564,0.3466475,0.33735058,0.32540205,0.31796032,0.31735113,0.32188666,0.32818937,0.3340409,0.33766952,0.3384612,0.33828852,0.3428189,0.3594346,0.3894033,0.4243009,0.44787022,0.4505297,0.43483004,0.41450426,0.40012205,0.39429638,0.39315045,0.395054,0.4038495,0.4225311,0.44703844,0.4637877,0.46280006,0.44368693,0.41751632,0.39309284,0.3747615,0.36193,0.35783526,0.36729956,0.39401767,0.43096057,0.4626993,0.47160053,0.4539386,0.41956535,0.38634384,0.36466753,0.35690638,0.35832736,0.36332,0.3658986,0.36269423,0.35446152,0.3459355,0.3416972,0.34220496,0.34386888,0.3425283,0.33722305,0.33018228,0.3253111,0.32597092,0.3330265,0.3435705,0.35112178,0.35092506,0.3430723,0.3333538,0.32728785,0.32712495,0.33051658,0.33317542,0.3309034,0.3218373,0.3091801,0.3019354,0.3128575,0.34848547,0.40025827,0.4440826,0.45640016,0.43255255,0.38950944,0.35114598,0.3296863,0.32345578,0.32628012,0.3378609,0.36301112,0.40071657,0.4392163,0.45994505,0.45399764,0.42653736,0.39240786,0.3626717,0.34116253,0.32821622,0.32600006,0.34037504,0.37286684,0.41496363,0.4460117,0.44878426,0.421862,0.3823757,0.34976092,0.33300474,0.3294324,0.3350402,0.3509886,0.37977746,0.41563353,0.44205666,0.44197845,0.41270623,0.3701028,0.33825648,0.33478835,0.36016265,0.39957726,0.43017843,0.4379342,0.42344984,0.39995608,0.37869772,0.36378038,0.35382882,0.34787366,0.34595478,0.34709457,0.3488611,0.3486676,0.34574893,0.34125757,0.3394413,0.34667167,0.37084806,0.41192076,0.45847973,0.48757604,0.4838883,0.4490029,0.4035728,0.36798716,0.3515128,0.34989288,0.35716748,0.37378302,0.4028871,0.44083634,0.47192183,0.48130032,0.46605194,0.43799755,0.4087728,0.38344553,0.36099553,0.34487805,0.34303677,0.3636094,0.40249744,0.44164595,0.4561068,0.43455353,0.38679442,0.33763254,0.30604672,0.29637283,0.29987964,0.30552506,0.3056583,0.29864767,0.2876115,0.27801418,0.27364048,0.27421126,0.2763333,0.27746227,0.278807,0.2843422,0.2971662,0.3169634,0.3392237,0.3570591,0.36281443,0.35402572,0.33472633,0.31502467,0.3021514,0.2976581,0.29700163,0.295093,0.28877902,0.2780141,0.26683104,0.26319793,0.2776258,0.31564394,0.36928073,0.4161185,0.43146905,0.4077522,0.35900152,0.30975938,0.275592,0.25828156,0.25342909,0.26092127,0.28632116,0.3296655,0.37931725,0.41416547,0.42151442,0.40379438,0.37501407,0.34665647,0.32414123,0.3103638,0.30999807,0.3281776,0.3640901,0.40656623,0.43593332,0.43606853,0.40661815,0.36359534,0.32736954,0.30962384,0.31075704,0.32375082,0.3396013,0.3505583,0.35346103,0.35057643,0.34689462,0.34572828,0.34659848,0.34716913,0.34618163,0.34497976,0.34648857,0.35307983,0.36496902,0.37824538,0.38677105,0.38481283,0.3732116,0.35743248,0.34477094,0.33774784,0.33620498,0.3380996,0.34210154,0.34573248,0.3466971,0.3436943,0.33762145,0.32989267,0.32101238,0.31025562,0.29719988,0.28307,0.27054325,0.26209882,0.25842932,0.25817683,0.25898755,0.25918746,0.2590798,0.2603254,0.26397267,0.26841208,0.27104828,0.2705659,0.2686833,0.26735097,0.2670877,0.26629063,0.26403204,0.26104522,0.25999472,0.2627513,0.26964906,0.27909824,0.29069385,0.30511186,0.3235416,0.34378126,0.36015543,0.36594054,0.35874116,0.34356317,0.328915,0.32140455,0.3207942,0.32437715,0.32841435,0.33127224,0.33029178,0.32609203,0.3214177,0.32250085,0.33164668,0.3469888,0.3610585,0.36777243,0.36546823,0.35807267,0.3508332,0.3457431,0.34335932,0.34199572,0.33999392,0.3318263,0.31474558,0.29037917,0.26980332,0.26683173,0.293875,0.34997252,0.41842076,0.4707199,0.48699984,0.46783876,0.432451,0.40089068,0.38169873,0.37365603,0.37313712,0.3818945,0.40032503,0.4245443,0.44187102,0.44324252,0.4276929,0.40442863,0.38163176,0.36300075,0.34870255,0.34205902,0.35028756,0.37914827,0.42237258,0.4603293,0.4702052,0.44600943,0.4022689,0.3634789,0.3440419,0.34349975,0.35333133,0.36756298,0.38690314,0.41150126,0.43582833,0.44696513,0.43675676,0.40881124,0.37890399,0.36374632,0.37076125,0.39366308,0.4159749,0.4229599,0.41076672,0.38775766,0.36377946,0.343852,0.32768342,0.31644845,0.3127104,0.31845233,0.33040723,0.34123445,0.34294757,0.33295557,0.31657037,0.3063344,0.31587586,0.35205457,0.40510663,0.4507388,0.46257702,0.43414077,0.38156626,0.33220544,0.30179754,0.29040417,0.28981513,0.29717234,0.3166496,0.34971344,0.3878726,0.414237,0.41808853,0.40061486,0.37233236,0.34265462,0.31671545,0.2987629,0.29474354,0.31256902,0.35134134,0.39723495,0.42420486,0.4155246,0.3757255,0.32979324,0.30121398,0.297321,0.30841684,0.31919098,0.31979868,0.3101442,0.2972428,0.28874406,0.28790304,0.2927998,0.30069435,0.31063282,0.32635054,0.34882128,0.3747084,0.3926969,0.3956941,0.38284424,0.3615611,0.3378314,0.3154678,0.29705337,0.28610083,0.28612626,0.29592255,0.31000397,0.3191153,0.3180915,0.30791295,0.2975707,0.29815766,0.3195887,0.36300182,0.41783127,0.46271586,0.47949898,0.46488413,0.43314505,0.4034176,0.38739124,0.3858472,0.3941959,0.4094511,0.42886135,0.44761816,0.45689425,0.45243958,0.43696877,0.4191444,0.4031556,0.38906428,0.3756256,0.36754107,0.37168935,0.39251205,0.42323127,0.44944254,0.45539653,0.4386542,0.40904582,0.38367715,0.3730757,0.37891105,0.3952844,0.41533425,0.43613303,0.45659578,0.4740605,0.48031214,0.4696842,0.44480634,0.41826448,0.40325698,0.40559468,0.42085195,0.4375563,0.44565192,0.44125023,0.4281999,0.41112745,0.39345694,0.37630096,0.36276495,0.35605636,0.3584486,0.36771822,0.37844357,0.38405028,0.3810216,0.3714161,0.3635753,0.36944732,0.3971031,0.4401677,0.47698104,0.48243383,0.45018208,0.39594057,0.34631184,0.3163248,0.30599383,0.30775383,0.31830287,0.3404727,0.37388992,0.41038135,0.43423304,0.43653274,0.41903368,0.39260617,0.3659779,0.34323844,0.3266482,0.32041273,0.33065167,0.35791907,0.39277235,0.4162414,0.41352245,0.38502076,0.3474551,0.32085693,0.3157591,0.32974824,0.35328373,0.37827238,0.40113917,0.4192181,0.42695215,0.41814113,0.3938999,0.36528894,0.3481625,0.3545371,0.38437387,0.42464638,0.45359424,0.456907,0.4355221,0.40376505,0.37363067,0.34929416,0.3297417,0.31664643,0.31332162,0.32003915,0.3305086,0.33500805,0.32742798,0.30981,0.29255697,0.2896352,0.31364298,0.36705872,0.43606353,0.49242616,0.5108625,0.4867957,0.4383154,0.39037105,0.35698977,0.33912858,0.3325865,0.33755764,0.35552654,0.38288,0.40688384,0.41556278,0.40609357,0.3868382,0.36637786,0.3494552,0.3365748,0.3310242,0.3366779,0.35664523,0.38532448,0.41049084,0.41699278,0.40090647,0.37154612,0.34637797,0.33705485,0.34317112,0.35702905,0.3703847,0.384092,0.40050057,0.4193231,0.42893934,0.42038324,0.39501336,0.3689607,0.35842797,0.36985645,0.39488098,0.4178135,0.42521593,0.41533172,0.3963345,0.37750053,0.36159274,0.34652936,0.33294508,0.3257221,0.33155963,0.35022864,0.37342945,0.38598856,0.37817717,0.35203126,0.32416794,0.31542644,0.33951864,0.39038837,0.44321403,0.46713975,0.4485717,0.39808226,0.34217858,0.30146492,0.2824223,0.2801018,0.28860545,0.3069578,0.3339876,0.36426485,0.3854417,0.38974378,0.37784413,0.35827848,0.33755717,0.31832588,0.30280176,0.29562482,0.30247334,0.32252726,0.34701216,0.360873,0.35535407,0.33298308,0.3081781,0.2944186,0.29862955,0.31570435,0.33518633,0.3437623,0.33688554,0.31837475,0.30049896,0.29124603,0.29178283,0.29736617,0.30494723,0.31689668,0.33390212,0.35269225,0.36289635,0.36208805,0.35380724,0.3476107,0.3428754,0.3351822,0.32009923,0.3035349,0.2947012,0.29906094,0.311991,0.32216045,0.32086864,0.30821446,0.29381737,0.2899586,0.30748138,0.34878954,0.4043224,0.45123038,0.46829844,0.45082417,0.41584262,0.38625738,0.37424412,0.37687477,0.38540033,0.39511192,0.4054217,0.4155089,0.4211445,0.4195312,0.4124228,0.40544567,0.40107512,0.39768144,0.39242658,0.38758656,0.38896254,0.4014441,0.42156675,0.43877196,0.44122896,0.42624894,0.4012983,0.37846076,0.36570287,0.36362305,0.3692831,0.37934998,0.3947091,0.41447684,0.43372545,0.4399027,0.42495537,0.39218643,0.3577862,0.33756784,0.3369343,0.34860063,0.36028525,0.36474505,0.36343142,0.3623761,0.36354098,0.36349276,0.35822168,0.3500735,0.34602022,0.35313848,0.37059793,0.39088503,0.4014527,0.3960167,0.3761418,0.35453597,0.3460559,0.36324653,0.4036503,0.44858852,0.46944383,0.45002615,0.397261,0.3359209,0.28806227,0.26146597,0.25257182,0.25515595,0.266288,0.2818006,0.29628488,0.30217165,0.2983708,0.28778616,0.2764198,0.265476,0.25457802,0.24392085,0.23759465,0.24117763,0.25552177,0.2746745,0.28595924,0.2811285,0.2604867,0.23562123,0.21899682,0.21932371,0.23410816,0.25350192,0.2630452,0.25613,0.23547344,0.21250367,0.19572616,0.18811458,0.18724793,0.19096418,0.1992995,0.21179754,0.22579266,0.2352138,0.2370364,0.2318799,0.2244315,0.21669006,0.2091649,0.20192145,0.1987723,0.2048629,0.22235996,0.24609143,0.2649218,0.26979735,0.26084068,0.24890487,0.24941878,0.2761625,0.33217505,0.40391782,0.4610437,0.4748583,0.43765453,0.3695968,0.30051416,0.25032857,0.2223162,0.21320547,0.22209114,0.24966627,0.289603,0.3264639,0.3432444,0.33423233,0.3066369,0.2738012,0.2447003,0.22279362,0.21012616,0.21083365,0.23088418,0.268055,0.30963227,0.332957,0.32574418,0.29169872,0.2506623,0.21846409,0.20121054,0.19473922,0.19434519,0.19734551,0.20284534,0.20933644,0.21376146,0.2129844,0.20583026,0.1952381,0.18708223,0.18716694,0.19685018,0.21267653,0.22846562,0.24016325,0.24593715,0.24578214,0.2392806,0.22816575,0.21686576,0.21209371,0.21852748,0.23489755,0.253588,0.2639535,0.26045802,0.2462762,0.23479961,0.24236202,0.2815666,0.34841704,0.4203148,0.46381626,0.45902777,0.41219953,0.35048148,0.2997087,0.27072015,0.2619463,0.26920283,0.29217756,0.32736364,0.3639725,0.38340783,0.37504947,0.34266818,0.30347368,0.271846,0.25310338,0.24488129,0.24656276,0.26216328,0.29531372,0.3395401,0.37600163,0.38450742,0.36046097,0.31871346,0.28086376,0.25839373,0.24872243,0.24352212,0.23706578,0.2287957,0.22008532,0.21256797,0.20698167,0.20384622,0.20334554,0.20549452,0.2100683,0.21601008,0.22154544,0.22463693,0.22523987,0.22483914,0.2252525,0.22562067,0.22396033,0.21895267,0.21230094,0.20690513,0.20505406,0.20665671,0.20990998,0.212784,0.21461898,0.21797515,0.22925551,0.25857422,0.31134436,0.3796781,0.43849918,0.46150753,0.4394102,0.387344,0.33003557,0.28501227,0.25754097,0.24823187,0.2582377,0.28678438,0.324237,0.3547093,0.3636485,0.35006866,0.32393494,0.29997143,0.2850797,0.27869353,0.2772304,0.28155002,0.29795042,0.32716122,0.35967734,0.37478724,0.3616335,0.32443556,0.28255773,0.25008285,0.2314012,0.22165518,0.21635765,0.21331377,0.21261942,0.2146343,0.21917893,0.2250412,0.2311358,0.23716901,0.24374552,0.25072327,0.25749257,0.2632332,0.26811004,0.2716569,0.27284822,0.26968288,0.26168293,0.25004128,0.23814261,0.22939579,0.22664438,0.23012929,0.23784997,0.24529219,0.24845378,0.2452631,0.23972644,0.2421257,0.26785648,0.3227152,0.3933667,0.445796,0.4518833,0.40796056,0.3391082,0.27413672,0.22868842,0.20289022,0.19426435,0.20510481,0.23556317,0.27606988,0.30561468,0.30880782,0.28512165,0.25020203,0.21859418,0.19690068,0.18369032,0.17979795,0.18990187,0.21842171,0.2594432,0.2963016,0.30980614,0.29458836,0.26131058,0.22877546,0.20826913,0.20085625,0.20108368,0.20382454,0.20595533,0.20593895,0.20356657,0.19934596,0.19441825,0.19001102,0.18780607,0.18954217,0.19571902,0.2048018,0.21341603,0.21943136,0.22245382,0.22407639,0.22461443,0.22392337,0.22134657,0.2180159,0.21560536,0.21590602,0.2186473,0.22145236,0.22055586,0.21396254,0.20471698,0.2026959,0.22228366,0.27262425,0.34604326,0.41514352,0.44848385,0.43303636,0.38326487,0.32733622,0.28632066,0.26457477,0.25792265,0.26316085,0.28234687,0.3125203,0.34335282,0.3584323,0.35233393,0.3310615,0.30838206,0.2906087,0.27824587,0.27118137,0.274613,0.29566845,0.3325138,0.3724042,0.39483222,0.3899317,0.36288902,0.33189166,0.3098941,0.29972848,0.29533252,0.29190838,0.28796804,0.28424045,0.28057575,0.27639654,0.27293447,0.27348688,0.28084207,0.29267576,0.30184114,0.3009185,0.28861383,0.2705225,0.25520638,0.24851723,0.25096485,0.2582563,0.26421633,0.264708,0.25999644,0.2545409,0.25281253,0.25653598,0.26358914,0.27134883,0.27775073,0.28393304,0.29428947,0.3179644,0.35946563,0.410471,0.44651198,0.44555962,0.4050221,0.345009,0.29016158,0.25271645,0.23208535,0.22483642,0.23351352,0.2607317,0.3001396,0.33370963,0.34371766,0.32691255,0.29585186,0.26765004,0.25180212,0.2491426,0.25793383,0.27780128,0.30858043,0.34337926,0.3690722,0.37184164,0.35032585,0.31589562,0.28518483,0.2674562,0.2629554,0.26635075,0.2711021,0.27101865,0.26260382,0.24681194,0.22879827,0.21395932,0.20559311,0.20413935,0.20911689,0.2195689,0.2337506,0.24832541,0.25937817,0.2642468,0.26272178,0.25620997,0.2468353,0.23658651,0.22783236,0.22247781,0.22214822,0.22622247,0.23215741,0.23499827,0.23131771,0.22179382,0.2151814,0.2259394,0.26722363,0.33560303,0.4068472,0.4459084,0.43530026,0.38514784,0.3255184,0.2793208,0.25342265,0.2430137,0.24490066,0.26128063,0.29121804,0.32665157,0.35129488,0.3566024,0.34360704,0.32362095,0.30353332,0.28616345,0.27157417,0.26439783,0.27170476,0.2960228,0.32939264,0.35447145,0.3573471,0.33688053,0.30509755,0.27511486,0.2531698,0.23848706,0.22918887,0.22479422,0.22529697,0.22936194,0.23455752,0.23832603,0.23911387,0.23678924,0.2329688,0.23024563,0.23090486,0.23535992,0.24211471,0.24881697,0.25300172,0.25275162,0.24678047,0.23623317,0.22418366,0.21489614,0.21116127,0.21375228,0.22142713,0.2316203,0.24177866,0.2498225,0.25722748,0.270201,0.30026233,0.35281768,0.4164923,0.46115908,0.45976675,0.41034484,0.33881202,0.2771028,0.24098624,0.22836341,0.23165156,0.24921222,0.28139898,0.32094243,0.35032427,0.35294327,0.3276821,0.2887337,0.25371823,0.23018514,0.21678889,0.2114718,0.21772088,0.24213941,0.28266987,0.32515848,0.3468512,0.33691323,0.30145308,0.26039228,0.22824912,0.20983839,0.20162255,0.19942331,0.19975908,0.2000115,0.19933091,0.19919614,0.20286654,0.21201521,0.22548956,0.23954736,0.25133634,0.25986245,0.26591885,0.26984128,0.27138066,0.2699786,0.2657439,0.2598989,0.254378,0.25097322,0.25019586,0.25205114,0.25650644,0.26341394,0.2706209,0.2743686,0.2717723,0.2664576,0.26984307,0.29659334,0.34835348,0.40682295,0.4393611,0.4275949,0.37900385,0.32236716,0.27986303,0.25734803,0.24848384,0.25039044,0.2678692,0.3028347,0.3454926,0.3735492,0.3724599,0.3451008,0.31076297,0.2844406,0.26896647,0.25893202,0.25387967,0.2613275,0.28783724,0.32738316,0.36067346,0.36875054,0.34912458,0.31592038,0.2877834,0.27338693,0.27109018,0.27324733,0.27253416,0.26440594,0.24945726,0.23262028,0.21918069,0.21066459,0.20514506,0.20029217,0.19672684,0.19612886,0.1997631,0.20619045,0.21451537,0.22323169,0.23112641,0.23420876,0.23047142,0.22065504,0.2103039,0.20422368,0.20443422,0.20848407,0.21251331,0.21398485,0.21320397,0.21431328,0.22534628,0.2578926,0.31814373,0.3947347,0.45719206,0.4729618,0.4351057,0.36532617,0.29955566,0.2587913,0.24630432,0.25338563,0.27589437,0.31348455,0.36232388,0.40766096,0.42923817,0.41718435,0.3784945,0.3318,0.29268613,0.26816693,0.25928777,0.2664318,0.29163572,0.33115792,0.37319517,0.39800346,0.39510313,0.36886367,0.33763823,0.31552228,0.30634356,0.3040495,0.30212465,0.296495,0.28646958,0.2733182,0.2600998,0.24968098,0.24331884,0.23990749,0.23843455,0.23958214,0.2455527,0.25701144,0.27173492,0.28571048,0.29557672,0.29988635,0.2987974,0.2939238,0.28750595,0.28177497,0.27790943,0.2758831,0.27474576,0.27334526,0.27140564,0.26981625,0.2693844,0.2692475,0.26657712,0.25865337,0.24467172,0.2260711,0.20560928,0.1862611,0.17105435,0.1619059,0.1587274,0.15887828,0.1588869,0.15697236,0.15349294,0.14974768,0.1452957,0.13895184,0.1299484,0.12048665,0.11348045,0.11106976,0.11193371,0.11390716,0.115370326,0.11698741,0.11913252,0.121162325,0.12201974,0.12215378,0.12352929,0.1275182,0.1347094,0.14500724,0.15831186,0.17221342,0.1817711,0.18161583,0.17034341,0.15206182,0.13399146,0.12206692,0.118133865,0.12015241,0.12444633,0.1278072,0.12849921,0.12621999,0.121743046,0.116466165,0.111681245,0.10771828,0.10387065,0.099098764,0.09356288,0.08865025,0.085909575,0.08514321,0.084477164,0.08199757,0.07765257,0.073526986,0.07263178,0.07705779,0.086666085,0.09863528,0.1090465,0.11490592,0.11579162,0.113095194,0.10865479,0.10369293,0.09905898,0.09570605,0.094487526,0.09545416,0.09697029,0.09620295,0.09044101,0.07925117,0.06486734,0.051082123,0.04087773,0.03608835,0.038381,0.050296914,0.07260623,0.10176792,0.12928593,0.14739774,0.15287954,0.14928016,0.14231865,0.13796686,0.13872339,0.14441228,0.15127583,0.15595783,0.15755989,0.15851842,0.16111515,0.16432811,0.1653214,0.16227184,0.1573347,0.15369593,0.15334195,0.15538767,0.15822877,0.16036965,0.16003402,0.15442984,0.14148909,0.1225223,0.103115834,0.089934945,0.08648369,0.090523265,0.09609913,0.09766487,0.09364393,0.08678285,0.08228728,0.0851894,0.09723801,0.11522814,0.13158965,0.1395231,0.13677827,0.12670034,0.114052914,0.1022846,0.09252415,0.085195124,0.08072933,0.07933871,0.080236435,0.08128246,0.07975921,0.07388892,0.0640551,0.05282766,0.043161858,0.036907155,0.034169663,0.034668062,0.038250793,0.044992104,0.05437089,0.06618918,0.08068348,0.09847026,0.11890435,0.1411643,0.16509484,0.19141279,0.21841414,0.24073493,0.25177374,0.2488486,0.2354211,0.21852815,0.20445466,0.19592498,0.19268888,0.19281012,0.19449778,0.19588281,0.19548915,0.19146699,0.18445651,0.1786315,0.18213858,0.19905426,0.22424054,0.24312873,0.2445903,0.22883654,0.20715433,0.18912469,0.17706501,0.16728699,0.15840928,0.15247376,0.15244454,0.15766919,0.16399662,0.16650467,0.16259779,0.15322672,0.14145891,0.13051625,0.12219176,0.11708155,0.11530844,0.11682557,0.12066158,0.12453425,0.12584153,0.12366282,0.11942097,0.11573407,0.11446017,0.11584816,0.11909154,0.12303287,0.12678915,0.12920848,0.12892099,0.12478635,0.11776058,0.11166668,0.1117661,0.12154443,0.14001814,0.16200715,0.18046111,0.19001126,0.18903351,0.17986415,0.1666738,0.15316582,0.14136778,0.132433,0.12743597,0.12754436,0.1322176,0.1387883,0.1429349,0.14220476,0.13702314,0.13052754,0.12493209,0.12079379,0.117399015,0.11531956,0.11628137,0.12152281,0.12964605,0.13669471,0.13874912,0.13447656,0.12656747,0.12047552,0.1225459,0.13628237,0.15948921,0.18314503,0.1959071,0.19058128,0.16856402,0.13794169,0.10802591,0.08504326,0.071033746,0.06579626,0.06782126,0.07504711,0.08382816,0.09028283,0.09146181,0.08751408,0.08081453,0.07421118,0.06913227,0.06590564,0.065694325,0.07077246,0.0830779,0.100882836,0.119001605,0.13124955,0.13529874,0.13456006,0.13696732,0.15004194,0.17499666,0.20437628,0.22507237,0.22740184,0.21154876,0.18840605,0.17064364,0.16463763,0.16616936,0.16680159,0.16036426,0.14773656,0.13386695,0.12424898,0.122354366,0.1289499,0.14284618,0.16030699,0.1776126,0.1915965,0.20191978,0.20877834,0.21222876,0.21050638,0.20199697,0.18666254,0.16719718,0.14783496,0.13264507,0.12385262,0.121234894,0.122205764,0.12405398,0.12567514,0.12917157,0.1367753,0.14847903,0.16000204,0.16663845,0.16642003,0.16167957,0.15612039,0.15220137,0.15083142,0.15190263,0.15471719,0.15690206,0.15575145,0.14979804,0.14072144,0.13222528,0.12821172,0.1303919,0.1376288,0.1465907,0.15422612,0.15944903,0.16325223,0.16680515,0.17021681,0.17252178,0.17280863,0.17096607,0.16765024,0.163854,0.16017689,0.15693279,0.15390645,0.15120839,0.14924537,0.14941394,0.15260555,0.15824641,0.1632144,0.16429871,0.16060947,0.15551952,0.15429877,0.16023582,0.17121059,0.18044986,0.18165545,0.17351775,0.16106792,0.15128951,0.14956035,0.15621497,0.16763093,0.1774228,0.18151158,0.17955758,0.17496628,0.17001362,0.16495939,0.15868227,0.15197635,0.1473719,0.14728542,0.15126503,0.15607709,0.15845637,0.15843743,0.15888691,0.16282631,0.17046668,0.18006827,0.18893468,0.19455792,0.19477223,0.18914272,0.17995597,0.17123781,0.16595834,0.16328526,0.15919699,0.14952356,0.13393608,0.116243474,0.10274383,0.09873732,0.10665103,0.1239054,0.1434034,0.15665233,0.15922475,0.15327726,0.14514273,0.1400913,0.13903981,0.13988219,0.14091744,0.14378439,0.15086861,0.162266,0.17290206,0.1769646,0.17123868,0.15815616,0.1428225,0.13056736,0.124212176,0.12415528,0.12908702,0.1372904,0.1460284,0.15228437,0.1531421,0.14894901,0.14238317,0.13832563,0.14055215,0.15033416,0.16408008,0.17466645,0.1760282,0.16749309,0.15404184,0.14155482,0.13346203,0.13008238,0.13082646,0.13435788,0.13858569,0.14026237,0.13728689,0.12956688,0.11928079,0.10954651,0.10442043,0.108746715,0.12497411,0.14987445,0.1734647,0.18602371,0.18404953,0.17255132,0.15897961,0.14840104,0.1422682,0.14153244,0.14889038,0.16651398,0.19260265,0.21876638,0.2345197,0.2328819,0.21531403,0.18949567,0.16444439,0.14564274,0.13385515,0.12751132,0.12482712,0.12508835,0.12738971,0.13081145,0.13451461,0.1382217,0.14134073,0.14248836,0.14019185,0.13412118,0.12642221,0.12108484,0.121588536,0.12756537,0.13429482,0.13620484,0.13142848,0.123201795,0.117076725,0.11664615,0.12157917,0.12810034,0.13246398,0.13307367,0.13145398,0.12983148,0.1295492,0.13055186,0.13264053,0.13635612,0.14195587,0.1485002,0.15322466,0.15404654,0.1512179,0.14787811,0.14731301,0.15076588,0.15705304,0.16384067,0.16859426,0.16907912,0.16414742,0.15518235,0.1455742,0.13911964,0.13758409,0.14045335,0.14539506,0.14969762,0.15131535,0.15003379,0.1472253,0.1449797,0.14447252,0.14568108,0.14734066,0.14830701,0.14854874,0.15062688,0.1584212,0.17499389,0.19976099,0.2292676,0.25832224,0.2819101,0.2959611,0.30045936,0.2992259,0.29759195,0.2971688,0.29843044,0.30135465,0.30640963,0.30777958,0.29825065,0.27468857,0.24841584,0.23996788,0.27142632,0.34614348,0.4418358,0.5146847,0.53154254,0.49058405,0.4223839,0.36107942,0.32357505,0.3087324,0.31118837,0.33223155,0.37064183,0.41620472,0.44684395,0.44987974,0.42822778,0.39912638,0.37267363,0.3503696,0.32959756,0.31603238,0.3197163,0.34741446,0.391884,0.43377772,0.4512981,0.43678713,0.40194643,0.37153924,0.36793557,0.39635757,0.44287547,0.48137844,0.49688885,0.4888406,0.4686104,0.43809888,0.3971441,0.3484734,0.30941427,0.29763234,0.3200388,0.36393282,0.40531313,0.4252884,0.42117095,0.40440762,0.38534674,0.36695886,0.3476329,0.3315753,0.32732806,0.34304222,0.37423047,0.40602836,0.41784406,0.40277496,0.37049738,0.34631905,0.35250935,0.39694646,0.46232423,0.5133702,0.5166231,0.4654348,0.38405415,0.30884102,0.26202622,0.24460389,0.24698095,0.26435164,0.29917964,0.34976473,0.40178835,0.432073,0.4281075,0.39554468,0.3526465,0.31328785,0.28282455,0.26300642,0.25832167,0.27599987,0.31613183,0.36680302,0.40413526,0.41029188,0.38503504,0.34966418,0.3305005,0.3444221,0.38605812,0.43387935,0.4625968,0.463286,0.44212994,0.41153333,0.37628052,0.33822712,0.30343089,0.2840551,0.29242894,0.32771015,0.3754218,0.41022953,0.41887042,0.4037157,0.3811445,0.36043528,0.34326497,0.3276746,0.31842998,0.32372892,0.34662297,0.37809253,0.39927933,0.3951278,0.3662596,0.33155486,0.31659925,0.34009948,0.4004259,0.47388217,0.5228452,0.5215674,0.47218382,0.40430024,0.3500357,0.32506648,0.32517764,0.33960018,0.36319113,0.3947138,0.42879736,0.4518141,0.45446524,0.44021824,0.4229287,0.4097742,0.39796126,0.38159177,0.36559725,0.36267662,0.38482347,0.42768717,0.47237483,0.4928484,0.47868273,0.43944415,0.40275657,0.39282238,0.41842544,0.46573195,0.5095965,0.5323527,0.53328234,0.52258736,0.5036738,0.47355536,0.43177465,0.3908347,0.36761904,0.37087786,0.39342037,0.41825438,0.43193614,0.43312678,0.42911077,0.4242125,0.41560093,0.3994869,0.3802208,0.3689237,0.37587294,0.39954516,0.4274669,0.44086602,0.43050256,0.4004173,0.37037697,0.36249468,0.39207685,0.45189634,0.5131392,0.53854555,0.510545,0.44232497,0.36686572,0.31172034,0.28533623,0.28323564,0.29871228,0.3310934,0.3751265,0.41971457,0.44643676,0.44981968,0.43560553,0.41754308,0.39879584,0.37694773,0.35154143,0.3326926,0.33467126,0.36155364,0.40055847,0.42620865,0.42112604,0.38811564,0.35036394,0.33292016,0.34913078,0.39146742,0.44003245,0.4723786,0.48209658,0.47422358,0.45930657,0.4369856,0.40621766,0.37054345,0.34483263,0.3433217,0.368693,0.4079974,0.43842104,0.44641864,0.43349922,0.41403282,0.3962854,0.3799759,0.36130762,0.34497598,0.34258726,0.36267292,0.3990377,0.43103108,0.4370958,0.4125235,0.3738052,0.34770378,0.35408923,0.39395705,0.44937655,0.49118105,0.49859878,0.47041968,0.4255618,0.38515806,0.3598334,0.34777534,0.34434652,0.34962034,0.36603323,0.39122346,0.4146746,0.4260156,0.42312503,0.41250607,0.39898404,0.3827155,0.36215195,0.34348574,0.33792004,0.3564634,0.39519903,0.43575683,0.4510971,0.42987373,0.38327444,0.34246442,0.33470988,0.36794224,0.42457494,0.47427487,0.49648353,0.4907656,0.47079924,0.4439259,0.4103931,0.37069193,0.33724555,0.3252431,0.34402418,0.38637853,0.4345666,0.46725798,0.47549137,0.4623725,0.4385744,0.40984654,0.37894592,0.3500011,0.33244357,0.3370755,0.365813,0.40719104,0.43768468,0.4395678,0.4123111,0.37631968,0.35754672,0.37313962,0.41744503,0.4642454,0.4794902,0.4479383,0.38282764,0.31680223,0.27524686,0.26260427,0.26910314,0.28500625,0.3125393,0.35323295,0.40127325,0.43613628,0.4446976,0.42682827,0.39740375,0.36631,0.33703423,0.30976483,0.2920862,0.29601422,0.32825336,0.37765276,0.41700038,0.41953346,0.38150942,0.32605577,0.28858888,0.29410663,0.34197357,0.4092643,0.46304289,0.48675358,0.48153803,0.46172407,0.43185008,0.39363992,0.3506759,0.31865343,0.31303045,0.3379729,0.3798943,0.41504303,0.42773744,0.41892374,0.40182367,0.38449118,0.36596623,0.3433428,0.3231591,0.3185896,0.3393724,0.37881622,0.41619265,0.42711163,0.40414998,0.35812607,0.31121662,0.2776623,0.26184013,0.25952718,0.26587418,0.27544272,0.2841085,0.28952336,0.2923901,0.29468176,0.29785064,0.3018098,0.30590084,0.30976626,0.31353927,0.3172276,0.32046857,0.32292983,0.32478246,0.3267673,0.3296354,0.33357915,0.338057,0.3423568,0.34643778,0.35089874,0.35645583,0.3632848,0.37130782,0.3799694,0.3879855,0.39321598,0.39396513,0.39022163,0.3840671,0.3785949,0.37636146,0.3781658,0.3828127,0.38818142,0.39226925,0.39426923,0.39439395,0.3942293,0.39537254,0.3987514,0.40308344,0.40641573,0.406916,0.40449014,0.39947116,0.3927813,0.38530672,0.37891063,0.37540376,0.375772,0.3789241,0.38245484,0.38410243,0.38321626,0.37980488,0.37256145,0.35668865,0.32716432,0.28277817,0.23096754,0.1831386,0.14921393,0.13098387,0.124503046,0.12341244,0.12336985,0.12246174,0.1208072,0.119206734,0.118122794,0.11721244,0.1159092,0.11410213,0.11251354,0.11203926,0.11347311,0.11735005,0.1241982,0.13419482,0.14647485,0.15917008,0.17001884,0.17806113,0.18357432,0.1879822,0.19209294,0.19657038,0.20143606,0.20690213,0.21234219,0.21683757,0.21951805,0.22048742,0.2204485,0.21982247,0.21857506,0.21666946,0.21461166,0.21295796,0.21172692,0.21037537,0.20843132,0.20581813,0.20265257,0.198821,0.19417453,0.18872797,0.1828223,0.17664593,0.17023404,0.16352661,0.15676738,0.15024002,0.14410733,0.13825454,0.13262661,0.12724109,0.122108944,0.1170202,0.11183355,0.10669271,0.10206012,0.09819541,0.09490048,0.09159777,0.08791485,0.08393041,0.08013605,0.07693476,0.074467264,0.07254472,0.070936784,0.06935978,0.06756463,0.065325975,0.06264537,0.05969208,0.056671724,0.053625543,0.05053072,0.04738808,0.04428504,0.041249003,0.038233712,0.035133857,0.031878743,0.028403169,0.024633875,0.020534767,0.016234474,0.012079269,0.008494996,0.005763464,0.003892657,0.0026966787,0.001953444,0.0015056543,0.0012583858,0.0011428379,0.0011069409]