[0.3099947,0.27886865,0.2158194,0.14778204,0.10151687,0.09354159,0.12552013,0.18163176,0.23438208,0.2628048,0.26486698,0.25308314,0.23769934,0.21873933,0.1948642,0.16960877,0.15140817,0.14459108,0.14894916,0.16040759,0.17428546,0.18531454,0.19016671,0.18711351,0.17719807,0.16095306,0.14062445,0.11867186,0.10152724,0.09678483,0.11324948,0.15174644,0.204076,0.2508321,0.2753242,0.26866367,0.23761393,0.19625868,0.16199619,0.14462534,0.14393842,0.14915104,0.14838417,0.13699296,0.12186307,0.114361085,0.120385386,0.13381161,0.14285177,0.13935977,0.12567645,0.10923758,0.0974277,0.09292912,0.09566442,0.10271776,0.1100555,0.11323193,0.109103866,0.0977599,0.08359835,0.075674444,0.080604546,0.09673507,0.11184293,0.11453398,0.10419124,0.09278185,0.093010664,0.107311815,0.12785654,0.14351831,0.14772254,0.13867784,0.121296845,0.1051623,0.09994361,0.10747749,0.120579846,0.1314975,0.13737041,0.1409965,0.1453671,0.1544209,0.16970657,0.18981095,0.20692722,0.21637188,0.21816404,0.21927331,0.22270375,0.227867,0.23122601,0.23209883,0.23293181,0.234535,0.23648141,0.23625644,0.23799075,0.24578726,0.26106957,0.27138963,0.26311943,0.22929962,0.18257952,0.14419423,0.13400988,0.15698804,0.20182057,0.24772023,0.2750227,0.2765596,0.2562261,0.22398005,0.18847443,0.15764476,0.13971756,0.14113377,0.16100149,0.1899112,0.21350415,0.222279,0.21541746,0.20258798,0.19475967,0.1986525,0.20991921,0.21838461,0.21474232,0.2001609,0.18504177,0.17913924,0.18147804,0.1806503,0.16827922,0.14778839,0.13316052,0.13460645,0.14995934,0.1662755,0.17294852,0.16991122,0.16438806,0.1613609,0.16116513,0.16501325,0.17641848,0.19532658,0.21353503,0.2222247,0.22147173,0.2205773,0.22598086,0.23154604,0.2232762,0.193978,0.15403278,0.12528487,0.12306426,0.14497204,0.17259727,0.19019471,0.1923512,0.18597662,0.17576134,0.16246136,0.14432688,0.12632076,0.118329294,0.12664679,0.14652468,0.16382308,0.1663425,0.15192008,0.12788913,0.10325119,0.08282421,0.068532236,0.06386208,0.0734963,0.09847301,0.12874,0.14878999,0.14688209,0.12832935,0.11042435,0.110216595,0.13171288,0.16572554,0.20264725,0.23525651,0.2613122,0.27313742,0.26683012,0.24322343,0.21464045,0.19202612,0.18191214,0.18223852,0.18910138,0.19698596,0.20245425,0.20464528,0.20505339,0.20294714,0.19387837,0.17513382,0.15032305,0.12890449,0.11715642,0.11656063,0.12366863,0.13896929,0.16284509,0.19566156,0.2277772,0.24703568,0.24253933,0.21772325,0.18792237,0.17293034,0.18276303,0.20942616,0.23455305,0.24237014,0.23211586,0.21300882,0.1942221,0.17978632,0.16927789,0.16409843,0.16256909,0.16314258,0.15979026,0.15150936,0.13965589,0.13405733,0.14165367,0.16471829,0.19194515,0.21180238,0.215275,0.20541067,0.18543111,0.16172743,0.13833673,0.12275819,0.11779764,0.122504175,0.1333481,0.14932442,0.16955723,0.1871696,0.19239421,0.17961459,0.15418977,0.12586725,0.10246899,0.086624496,0.078529306,0.07713545,0.07952439,0.08348399,0.09056011,0.108434,0.14485179,0.19757469,0.2514837,0.2842537,0.285793,0.2610444,0.22982281,0.20720975,0.2005619,0.20441283,0.2098943,0.20802295,0.19499683,0.17111214,0.14115202,0.112694085,0.09719661,0.10278372,0.13208568,0.17491299,0.21595359,0.23669033,0.228705,0.19479696,0.15237054,0.12185504,0.117053956,0.13534683,0.16105641,0.17700212,0.17861141,0.17512397,0.17926478,0.19147682,0.20198642,0.1991015,0.18299878,0.1597529,0.13821866,0.123353034,0.121507466,0.13577569,0.16288476,0.18936606,0.20040481,0.18869007,0.16068055,0.13048495,0.11377773,0.116236925,0.13461451,0.1537876,0.16084601,0.14805646,0.124224454,0.10502855,0.10554098,0.12648384,0.15551566,0.17699069,0.18193299,0.17099084,0.14913055,0.123014115,0.10109955,0.09192893,0.09958782,0.11988173,0.14411005,0.1649773,0.17835765,0.18209048,0.17444742,0.15772681,0.13760236,0.12423984,0.12619282,0.15053451,0.19296555,0.24138637,0.2755907,0.2861166,0.2747523,0.25661546,0.24163967,0.23333423,0.2266069,0.21942885,0.21202701,0.20800138,0.2095673,0.2165551,0.22507583,0.2276708,0.22189946,0.20948495,0.19637924,0.18100606,0.16121091,0.1382827,0.121810235,0.120135285,0.13370349,0.15640563,0.1797527,0.19622298,0.20064731,0.19344288,0.18133827,0.170721,0.16252929,0.15484047,0.14987658,0.1553152,0.1746297,0.20192932,0.22546567,0.23780517,0.24281369,0.2477392,0.25844657,0.26914978,0.27431145,0.2697519,0.261511,0.25306103,0.24563657,0.23376502,0.21559185,0.19109507,0.166018,0.14610575,0.1400088,0.15147205,0.17883778,0.20922865,0.2289622,0.22804601,0.21186943,0.19343954,0.18948151,0.20354278,0.22758019,0.24355273,0.24056469,0.21848352,0.18930076,0.16581297,0.15466656,0.15185104,0.14800672,0.13842855,0.12809725,0.12549637,0.1318952,0.13972843,0.14294834,0.1436528,0.1484965,0.159172,0.17177016,0.18243884,0.1899011,0.19257586,0.1859035,0.16956247,0.15098445,0.1445878,0.15612751,0.17888625,0.19445266,0.19088997,0.16860633,0.14320578,0.13199227,0.14556983,0.17966723,0.22069228,0.25225416,0.26478612,0.25647834,0.23355071,0.2072375,0.19061674,0.1943355,0.21915574,0.2573627,0.29403758,0.3181379,0.32226288,0.30576405,0.27081287,0.22427475,0.17696339,0.1428974,0.13724275,0.1658604,0.21755989,0.26449454,0.28186646,0.2643036,0.22540759,0.18412481,0.15479885,0.14613342,0.15958966,0.18657531,0.21441138,0.2348447,0.24909706,0.25985506,0.26660046,0.26746395,0.26451963,0.26210997,0.26072586,0.25431314,0.23676515,0.20793556,0.17705195,0.15615658,0.15377177,0.16846828,0.19019246,0.20786083,0.21523292,0.21462898,0.21016145,0.20822614,0.21121699,0.21932614,0.22467442,0.21947622,0.20016764,0.17475493,0.15268491,0.13920109,0.12760626,0.11206589,0.09318006,0.08536661,0.10193664,0.14436786,0.19522941,0.23089677,0.2375967,0.21854158,0.18764783,0.15766288,0.13542257,0.12362573,0.12353512,0.13329351,0.1458032,0.15129362,0.14650135,0.1364906,0.1303017,0.12965818,0.13125496,0.13039784,0.1279278,0.12520403,0.12509163,0.1300814,0.14580232,0.17448783,0.21198219,0.24598163,0.26380476,0.26095775,0.24332815,0.22350268,0.2105658,0.20692356,0.20573966,0.19895709,0.18301909,0.16779685,0.17086597,0.20419498,0.2591151,0.3070021,0.32033622,0.29043815,0.23534513,0.1801848,0.14509013,0.13316245,0.1417528,0.16308142,0.19109221,0.21699852,0.23351048,0.23583175,0.22381401,0.20463012,0.18885668,0.1858692,0.19346766,0.20108032,0.19845222,0.18570459,0.17093043,0.1620283,0.16233139,0.17256342,0.1928025,0.218883,0.24012272,0.24328591,0.22399282,0.19040745,0.1587283,0.13965727,0.13399239,0.1347826,0.13637729,0.13658284,0.13634169,0.1369137,0.14353965,0.1607417,0.19040634,0.22117591,0.2413642,0.24385446,0.23890148,0.23697333,0.24125908,0.24028385,0.2236916,0.19091757,0.15147726,0.117055416,0.09692398,0.10179863,0.13531011,0.19170396,0.24653995,0.28015348,0.28329957,0.2743483,0.27248505,0.2908965,0.31575862,0.32884324,0.31531906,0.28024462,0.23324011,0.1854173,0.144367,0.12257346,0.12975161,0.16668715,0.21659215,0.25818166,0.27423814,0.26516685,0.24286194,0.22533129,0.22088943,0.22376375,0.2191527,0.19804834,0.16480748,0.13259462,0.11280233,0.109558225,0.11896178,0.13423927,0.15146792,0.17469901,0.20916498,0.2506699,0.2813642,0.28690904,0.27299353,0.26574036,0.2836727,0.31844333,0.3386953,0.32176825,0.27393034,0.22323488,0.19432159,0.19023693,0.20258306,0.22414811,0.25565302,0.2915304,0.31840274,0.32246137,0.30661258,0.2830972,0.26377952,0.24445118,0.2217573,0.19653523,0.185299,0.19589406,0.22735792,0.26028326,0.28128138,0.28299734,0.27354547,0.25700223,0.23496236,0.2010206,0.15758832,0.1134044,0.08363604,0.07387551,0.08222076,0.10025448,0.12494308,0.15360825,0.18437417,0.21025367,0.22719891,0.23277026,0.22723214,0.20979144,0.18270321,0.15441261,0.13745217,0.13953292,0.15812182,0.18183024,0.20068868,0.2080766,0.20254655,0.1823504,0.15171866,0.12060491,0.10373643,0.10850414,0.12987316,0.15363824,0.16642848,0.1631458,0.1468235,0.12741254,0.117085345,0.12497952,0.14966461,0.17957063,0.199093,0.19894247,0.17963465,0.15389188,0.1393863,0.15189546,0.18986936,0.23657031,0.26710284,0.27045366,0.25055453,0.2229942,0.19795893,0.17913501,0.16402774,0.15138666,0.14140211,0.13565601,0.13429122,0.13589042,0.13889198,0.14618772,0.16477486,0.19844799,0.23940474,0.27118483,0.28276828,0.27734193,0.26550174,0.2538103,0.24078985,0.22553426,0.21053131,0.20177005,0.20232517,0.21191652,0.22542177,0.23554678,0.23852728,0.23883492,0.2455161,0.25964284,0.26970604,0.2615803,0.23435438,0.20140141,0.17977832,0.17822592,0.1962036,0.22458136,0.24822032,0.25266674,0.23272695,0.19724846,0.15978833,0.13146372,0.11632987,0.11637712,0.12932663,0.1498186,0.17100084,0.19335638,0.2228005,0.26045153,0.29506484,0.30781224,0.29091957,0.2524039,0.21222198,0.18396837,0.16931456,0.16023111,0.14940596,0.1385184,0.13376361,0.14165342,0.15859175,0.1776468,0.18976872,0.19283076,0.18682337,0.1748056,0.1595061,0.14378661,0.12922613,0.115287356,0.10340058,0.098846495,0.110309005,0.139346,0.17410469,0.19336589,0.18476371,0.15796632,0.13905244,0.14823508,0.18101521,0.21325272,0.22146326,0.20377262,0.17432737,0.14927863,0.13011555,0.11319101,0.0969638,0.090008296,0.09577215,0.11341307,0.13638626,0.17062415,0.2176081,0.27319416,0.3132111,0.3265058,0.31516883,0.3011427,0.29503798,0.2990975,0.30361155,0.3048109,0.29947817,0.2915548,0.2805958,0.26834312,0.25090265,0.2288602,0.20149945,0.17373277,0.15216605,0.14678769,0.1604204,0.18387242,0.19815904,0.19054408,0.163733,0.13444637,0.119163096,0.12469432,0.14461994,0.16320293,0.1651449,0.14505346,0.11611578,0.10248727,0.12389848,0.17621033,0.23173356,0.25973004,0.2521582,0.22789861,0.21122515,0.20889391,0.20863056,0.19569021,0.16578834,0.12530495,0.08476003,0.05437018,0.04050534,0.042813014,0.056002785,0.075141005,0.10041263,0.13287516,0.17004482,0.20409328,0.22890325,0.24200706,0.24491219,0.23866904,0.22647054,0.2142145,0.20785944,0.20777965,0.20628254,0.19621001,0.17570682,0.15321349,0.13913089,0.14220975,0.16096264,0.18496625,0.20081043,0.20241286,0.19661455,0.19327398,0.19781215,0.20438568,0.20613028,0.19841702,0.18322043,0.16297144,0.13977246,0.11466793,0.09025818,0.07107224,0.059789192,0.056040928,0.056641296,0.06378785,0.08380746,0.12172512,0.16945158,0.20845099,0.22162189,0.20669329,0.17744267,0.15378289,0.15031093,0.16836615,0.19609416,0.21551472,0.21416265,0.19269113,0.16279633,0.13768856,0.12316375,0.11543355,0.106227316,0.091698766,0.07665143,0.07112775,0.07854519,0.092078775,0.09926641,0.097446196,0.09464728,0.102241606,0.119112514,0.13283072,0.12944365,0.10694019,0.07617135,0.053559635,0.05132823,0.07159971,0.105439685,0.13766341,0.1545463,0.1513566,0.13270439,0.10930807,0.091322534,0.08349634,0.08321611,0.08438116,0.08661366,0.09673517,0.12202668,0.15843503,0.19181603,0.20973827,0.20957543,0.1982276,0.18023892,0.15917343,0.13579711,0.11720759,0.10938872,0.11812387,0.13997649,0.1671368,0.18766744,0.19569926,0.1918177,0.18442047,0.17894147,0.17587669,0.16670068,0.14609984,0.11465591,0.08650205,0.07852274,0.10253012,0.1529392,0.20972066,0.25157288,0.2683899,0.26581222,0.25363776,0.24128641,0.23079602,0.22348438,0.21518885,0.20473546,0.19015126,0.17706881,0.16774726,0.16285165,0.15440632,0.1384528,0.114954025,0.092321776,0.07599914,0.067974776,0.06556713,0.06875407,0.08191091,0.10721818,0.14098895,0.16929646,0.18401001,0.18427719,0.18128496,0.18142597,0.1879072,0.19793533,0.21106994,0.22372974,0.23283125,0.23463392,0.23116095,0.22381108,0.21430953,0.20202386,0.19209026,0.19066598,0.20153211,0.21647096,0.22294337,0.21405004,0.19700469,0.18622471,0.18894732,0.2013374,0.21269839,0.21796991,0.21839897,0.21769822,0.21588172,0.20878035,0.19372272,0.1714415,0.14778836,0.12942533,0.122733325,0.13168888,0.15315586,0.17831981,0.1917998,0.18842752,0.17036213,0.15133871,0.13642971,0.12733863,0.11948898,0.11407208,0.11194586,0.1143729,0.12209749,0.13852052,0.16552913,0.1971104,0.22019584,0.22438908,0.21055096,0.18966913,0.17265813,0.16366975,0.15872897,0.15191317,0.13955596,0.123171985,0.10872152,0.103918314,0.11449804,0.13844651,0.16582228,0.18309243,0.18326014,0.17009223,0.15470694,0.14644887,0.14743565,0.15283515,0.1566499,0.15489478,0.15041173,0.14892255,0.15828274,0.17840354,0.20407288,0.22414412,0.23325296,0.2300836,0.21915263,0.20268005,0.18296452,0.16197704,0.14494038,0.13726507,0.14146431,0.1541177,0.16747417,0.17463638,0.17436957,0.1695304,0.16239786,0.1505602,0.13159044,0.1068838,0.08411771,0.07207357,0.07783551,0.10239965,0.14038584,0.17851251,0.2024225,0.20289731,0.1832375,0.15489084,0.1304264,0.11590711,0.111596994,0.11729046,0.1336642,0.16117029,0.19511724,0.23027344,0.2620577,0.2892448,0.30592915,0.30490968,0.2817292,0.24653208,0.21695893,0.20737225,0.21668732,0.23351674,0.24813576,0.25672185,0.26056358,0.25884077,0.25271377,0.24406461,0.23671848,0.23101754,0.22471792,0.21408103,0.19898492,0.18112354,0.16417544,0.14914055,0.14016546,0.1421274,0.15773112,0.17716776,0.18264516,0.16375752,0.13081913,0.11050371,0.12339867,0.16875274,0.22350092,0.26308364,0.27398232,0.26213464,0.2382984,0.21492402,0.19475554,0.17912696,0.16390897,0.14846951,0.1315297,0.114640705,0.09836177,0.085273154,0.07939299,0.08478204,0.10129225,0.122514986,0.14029741,0.15018491,0.1567477,0.16648571,0.18389279,0.20238626,0.21454339,0.21253507,0.20058237,0.18488598,0.17384727,0.1678348,0.1652956,0.16736035,0.17833507,0.20216173,0.23183715,0.2568482,0.26627043,0.2600669,0.2435006,0.22684425,0.21937816,0.22697288,0.24637882,0.26492557,0.2684529,0.2523004,0.22661777,0.20846935,0.20886312,0.2225018,0.23328291,0.22677578,0.20336151,0.17593874,0.16096817,0.16619045,0.18927784,0.21833716,0.24172653,0.25109264,0.24787052,0.2360735,0.21906729,0.19672638,0.17063953,0.14912875,0.14055097,0.14836673,0.16352159,0.17555527,0.17734116,0.17184429,0.16291879,0.1525669,0.13814244,0.11813142,0.094719134,0.07573244,0.07169629,0.08828163,0.12025235,0.15168123,0.1690415,0.1715314,0.1721313,0.18303877,0.20367652,0.22157419,0.2250758,0.2152222,0.2016785,0.19541001,0.19805469,0.20709002,0.21591014,0.22046347,0.21663666,0.20348863,0.18510719,0.16874276,0.16294692,0.16863586,0.18371564,0.20242997,0.22202863,0.23754676,0.2452454,0.24342138,0.23765582,0.23502152,0.2384425,0.24200714,0.23676586,0.21882516,0.19394188,0.17443253,0.16883695,0.17627926,0.18429501,0.18084086,0.16027701,0.13238433,0.11029451,0.10468366,0.11076989,0.11897782,0.12211635,0.12553978,0.13744758,0.1581691,0.17731458,0.1819734,0.17091782,0.15288623,0.1428514,0.14844519,0.16895653,0.19538917,0.21914977,0.23757975,0.2521672,0.264454,0.27180162,0.27163842,0.26285186,0.24615623,0.22294338,0.19749236,0.17816389,0.17431973,0.19041218,0.22230995,0.25837654,0.28412402,0.29019508,0.27597773,0.25062618,0.22369675,0.20240767,0.18639082,0.17456871,0.16375965,0.15487657,0.1488629,0.14728399,0.14723136,0.14363319,0.13326974,0.117932744,0.10366106,0.09553183,0.09549004,0.10185632,0.11119905,0.119686544,0.123425566,0.11933258,0.107157476,0.09312472,0.09134588,0.114954345,0.16335504,0.21440415,0.2396274,0.22468553,0.18115886,0.13224974,0.09567568,0.075631015,0.07012306,0.07643043,0.09153395,0.11091634,0.13066973,0.15109138,0.17245622,0.1933129,0.20795958,0.21596165,0.22000654,0.22443546,0.22623806,0.22080326,0.20655072,0.18662627,0.16457048,0.1423578,0.12685142,0.12605791,0.14507186,0.17496268,0.20253277,0.21549179,0.21326156,0.20045531,0.1849124,0.17118494,0.1593557,0.14658551,0.13052222,0.115763955,0.10922956,0.11649952,0.13310404,0.15186812,0.1647145,0.1719783,0.17351317,0.17133337,0.1611016,0.14290614,0.11903659,0.10092857,0.09714035,0.11159831,0.13939127,0.17536913,0.21542816,0.25584245,0.29171193,0.3161085,0.32345805,0.30811164,0.27342436,0.23210424,0.20312953,0.1931783,0.19288881,0.18840952,0.17939483,0.17755221,0.18950234,0.20634492,0.2124935,0.1995091,0.17156483,0.13943183,0.11642889,0.11229658,0.12845297,0.15463439,0.17768134,0.18922813,0.19064696,0.18406586,0.17386281,0.16220863,0.15466063,0.15253972,0.1565835,0.16530149,0.17824627,0.19349293,0.20799486,0.21757512,0.21986318,0.21269952,0.19726777,0.17513436,0.15204842,0.13551235,0.133789,0.15173922,0.18331279,0.21756971,0.2387172,0.2438826,0.23821144,0.23996647,0.2597692,0.29551265,0.3270299,0.33437958,0.31260535,0.2731209,0.23198353,0.19748323,0.17125559,0.15174992,0.13737889,0.12674092,0.12064154,0.12248537,0.13680227,0.16296427,0.19526245,0.22138037,0.23201509,0.22349072,0.2042374,0.18746482,0.18499847,0.19926006,0.22338863,0.2459765,0.2560717,0.2484441,0.22554658,0.1964555,0.17238349,0.15778495,0.15117268,0.14494558,0.13801877,0.1309679,0.12987761,0.13309272,0.13828772,0.138305,0.13277398,0.12480209,0.12286538,0.12998958,0.142325,0.14968611,0.14883137,0.14717662,0.15932731,0.19035341,0.22876664,0.25510964,0.26045415,0.25570837,0.25705066,0.26840758,0.27592263,0.2677156,0.24566798,0.22573946,0.21591312,0.213856,0.20822257,0.19656964,0.18074553,0.16494836,0.1477711,0.1287576,0.112254135,0.1077455,0.123302735,0.15897286,0.20419587,0.24297701,0.26121843,0.25509712,0.22879727,0.19078505,0.14894043,0.11232817,0.092633225,0.09723478,0.12379012,0.15432782,0.1704462,0.16314213,0.14461486,0.13255465,0.1371026,0.14903475,0.15344065,0.14460133,0.13311197,0.13310494,0.14767168,0.16549177,0.17277513,0.16623469,0.15505542,0.15064855,0.15512644,0.16043006,0.15680178,0.1423787,0.12319693,0.10696146,0.09781534,0.09720478,0.10591183,0.12386344,0.14633046,0.166776,0.1787178,0.18340051,0.18440135,0.18741453,0.191365,0.19306059,0.18728232,0.17491972,0.16046189,0.15043193,0.14557514,0.14376692,0.14249973,0.14561094,0.15670992,0.17601927,0.19540448,0.20695697,0.20595491,0.19549407,0.18112855,0.17135382,0.17270614,0.18768366,0.20749885,0.21651249,0.20256573,0.17071126,0.14056177,0.13124754,0.14537717,0.1680482,0.18116407,0.17688131,0.1619368,0.14724165,0.13932925,0.1353725,0.12911569,0.115467764,0.0954346,0.07468048,0.061228693,0.059538215,0.068836235,0.08439421,0.102642246,0.122614086,0.14326966,0.1613527,0.17164285,0.17326397,0.17202562,0.17859234,0.19907387,0.22690074,0.24801557,0.25086042,0.24029577,0.22835769,0.22583501,0.23010893,0.23427476,0.23258102,0.2249344,0.21179134,0.19388568,0.17169677,0.15027934,0.13438888,0.13074459,0.13747185,0.14867026,0.15077275,0.13709758,0.1090816,0.08073407,0.066847645,0.07626241,0.10270083,0.13002022,0.14105123,0.13336122,0.11896493,0.11537543,0.1280113,0.15015239,0.17005576,0.18383749,0.19172347,0.19549741,0.19189394,0.18086477,0.16395453,0.14820825,0.13696091,0.13154143,0.12806396,0.12419069,0.1209461,0.12222584,0.12979029,0.13890402,0.1449751,0.14690357,0.14817317,0.14664708,0.13561015,0.11034304,0.078701295,0.056807905,0.057434987,0.0782074,0.104273885,0.11895921,0.11728024,0.10615617,0.09909335,0.10418167,0.12183366,0.14187463,0.15149458,0.14108054,0.114397764,0.084914505,0.06569591,0.059637915,0.060067568,0.063378625,0.0705036,0.086976595,0.110066436,0.13500835,0.15464306,0.16840927,0.17489801,0.17281987,0.15950222,0.13551287,0.10656134,0.08104058,0.06820918,0.069866896,0.080130965,0.087031215,0.08581566,0.08282069,0.088977404,0.107608296,0.13046195,0.15146674,0.17094989,0.19507009,0.21955691,0.23266143,0.22249697,0.19029386,0.15017714,0.12048928,0.11470977,0.13456029,0.1705056,0.20637214,0.22544408,0.2201546,0.19388604,0.16278563,0.14461939,0.14868937,0.16875036,0.18827981,0.19671184,0.19594653,0.19777532,0.20840766,0.22380115,0.23415734,0.23277517,0.21995501,0.19856244,0.17271663,0.14693213,0.1273321,0.11749706,0.11481681,0.113747984,0.11302468,0.1194346,0.13966613,0.17128605,0.20062673,0.21178977,0.19632746,0.15933374,0.11699406,0.08959979,0.089473695,0.11664897,0.15950222,0.20422995,0.2367558,0.24792127,0.23596203,0.21304315,0.19789362,0.20369454,0.22742307,0.25660226,0.27949142,0.29300842,0.29692873,0.29151353,0.2732282,0.24224961,0.20273371,0.16627677,0.14225073,0.1356902,0.14668728,0.17605174,0.22165786,0.2700806,0.29919985,0.29435015,0.26435372,0.23522119,0.227874,0.24333365,0.26572785,0.27833536,0.27241376,0.2493363,0.21640061,0.18264522,0.1559251,0.14024661,0.13728012,0.14463347,0.15708373,0.16543426,0.16250934,0.14624463,0.123215534,0.10350629,0.095261574,0.09905679,0.10901179,0.11725346,0.118608736,0.11247616,0.102589674,0.09415778,0.09170419,0.09497356,0.10075814,0.1040683,0.103400744,0.101876296,0.106161304,0.121433936,0.14455594,0.1655479,0.17350723,0.16739494,0.1546799,0.1448862,0.13984226,0.13561541,0.12768191,0.11710488,0.10737661,0.10149331,0.09868112,0.097765155,0.09796527,0.09967664,0.101759635,0.10258255,0.102053516,0.102542154,0.10589549,0.1088535,0.10558373,0.09282749,0.07681384,0.06963205,0.08173213,0.11233721,0.147994,0.1714018,0.17247891,0.15683068,0.1377893,0.12711976,0.124177516,0.12353116,0.1216506,0.12518781,0.14040007,0.16580074,0.18755871,0.19317979,0.18118787,0.16254027,0.14836138,0.14110082,0.1360979,0.12921186,0.122606345,0.12195682,0.1320435,0.15074022,0.16944037,0.17604178,0.16442849,0.13880815,0.11294546,0.0988549,0.0987221,0.10328617,0.10311728,0.09764219,0.096503675,0.10717938,0.12654608,0.14113338,0.14156519,0.13045195,0.123351246,0.13187039,0.1553611,0.1764973,0.17967339,0.16011226,0.12948695,0.10172046,0.085291766,0.079628974,0.08169862,0.09120691,0.11214095,0.14653753,0.18779297,0.219189,0.22683384,0.21032661,0.18522154,0.16811828,0.1648894,0.16763198,0.16496724,0.15295213,0.13695876,0.124194704,0.11505282,0.10537835,0.095111765,0.09136633,0.101664506,0.1241469,0.14850299,0.1627116,0.16199787,0.15115142,0.14202563,0.14634705,0.16721988,0.19681978,0.22162531,0.23187362,0.22751933,0.21533895,0.20391905,0.19681789,0.19298047,0.18767041,0.17774796,0.1653841,0.1585613,0.16514133,0.18172438,0.19321762,0.1837308,0.15475973,0.12529345,0.115001746,0.124837674,0.13813657,0.14041734,0.13521816,0.13802467,0.15844645,0.18694778,0.20650361,0.20533203,0.18958367,0.17286503,0.1668991,0.1714123,0.17799623,0.17731567,0.16458458,0.14368275,0.1257823,0.12752521,0.15662518,0.20467734,0.24541289,0.25677314,0.23321186,0.19292445,0.15899856,0.14811738,0.15795214,0.17644791,0.18763441,0.18643123,0.17524385,0.16567291,0.1656967,0.18089505,0.20629065,0.23436184,0.2551899,0.26691964,0.27034009,0.26904783,0.2602537,0.24134828,0.20901549,0.16797964,0.12793984,0.105146594,0.110741995,0.1420681,0.17820251,0.19591098,0.1885856,0.17236595,0.16659431,0.17370625,0.17651226,0.1600623,0.12775455,0.10065333,0.09587697,0.11321793,0.13645793,0.15250824,0.16287024,0.17871039,0.20464085,0.23202424,0.24889559,0.25090623,0.24099581,0.22139978,0.19247235,0.15953119,0.13460912,0.12754606,0.13620819,0.14835882,0.15451388,0.15359198,0.14966108,0.14250828,0.13029796,0.1129164,0.096158095,0.08705274,0.09316217,0.11929661,0.16401643,0.21603489,0.25867736,0.281323,0.2843573,0.27617005,0.2622691,0.24244113,0.21231054,0.17065515,0.122217126,0.07637562,0.042476173,0.02587556,0.02853932,0.049574185,0.08594611,0.13038884,0.17184855,0.19891393,0.20442571,0.19034763,0.16488026,0.1390584,0.120029815,0.1113601,0.11438155,0.12820838,0.14968841,0.17078213,0.18391655,0.18382461,0.1728672,0.15877785,0.15065451,0.1506272,0.1516053,0.1441248,0.129017,0.11882731,0.12862161,0.16002695,0.20062001,0.23134667,0.24105263,0.22942722,0.20498204,0.17668772,0.15331532,0.14115751,0.14508782,0.16077827,0.17812192,0.18461902,0.17782842,0.16172434,0.14263491,0.12058417,0.09494495,0.06843225,0.050474342,0.050466042,0.072478466,0.11205584,0.15768243,0.19570357,0.21487625,0.21298932,0.19578652,0.17597051,0.16360268,0.1637525,0.17049676,0.17485116,0.16762273,0.14994681,0.12993167,0.12102708,0.13131596,0.1584788,0.18886916,0.2062127,0.20321678,0.18594016,0.16734727,0.15627037,0.15224274,0.15169092,0.1564672,0.1737747,0.20554239,0.23926051,0.2554725,0.24426202,0.21467458,0.18631591,0.17358102,0.17926489,0.19572425,0.21311747,0.22122936,0.21581478,0.19667585,0.1700542,0.1416633,0.116932414,0.097079955,0.08315107,0.077285446,0.08691841,0.11818116,0.16901408,0.22037311,0.25066146,0.24958545,0.23155053,0.21695052,0.2164052,0.22196226,0.22286962,0.21641137,0.20718132,0.19728763,0.18299307,0.16092218,0.13407725,0.11263131,0.107517965,0.12598994,0.16498442,0.21298976,0.25191927,0.2706325,0.26825905,0.2539519,0.23368305,0.20916979,0.17960463,0.15035403,0.12716044,0.114982285,0.1122039,0.11703384,0.12403866,0.12841569,0.1249231,0.11451891,0.10229521,0.096451364,0.10190466,0.119034775,0.1418544,0.16310407,0.17662776,0.18166041,0.18024297,0.17967106,0.18788248,0.21214016,0.24854161,0.2854132,0.305298,0.3000439,0.27134362,0.23336197,0.20016839,0.18161619,0.1774319,0.18207808,0.18868206,0.19309683,0.19847459,0.21063726,0.23624773,0.26813588,0.29321656,0.29439607,0.2717438,0.23429136,0.19798674,0.16836639,0.14566319,0.12586977,0.10757136,0.09014704,0.07418943,0.06119835,0.05401599,0.0578787,0.08098146,0.13003236,0.20029683,0.27154893,0.31834507,0.3294812,0.31449714,0.29407802,0.2822204,0.2796805,0.27770075,0.2682582,0.25080422,0.23271966,0.22100443,0.21640833,0.21247302,0.2047105,0.19178939,0.17587225,0.15778837,0.14125413,0.13123204,0.13083221,0.13602963,0.14135884,0.14607036,0.15438624,0.16420998,0.16579382,0.14860524,0.11638797,0.08380464,0.068224944,0.07737606,0.110859625,0.15949857,0.2095441,0.24384587,0.25494736,0.245916,0.23033123,0.21635152,0.20773506,0.20242971,0.20000656,0.1991598,0.2003703,0.20634913,0.2197115,0.23736608,0.24961178,0.24773616,0.23065971,0.20341355,0.171655,0.13982716,0.11576143,0.111632824,0.13726926,0.18925424,0.2469862,0.2837197,0.2824789,0.24813877,0.20147002,0.16567521,0.15145747,0.1544803,0.16261923,0.16474038,0.15604289,0.13731946,0.11606117,0.10472231,0.11275894,0.13920067,0.17000407,0.19195803,0.19903068,0.19417791,0.17905776,0.15457697,0.12582012,0.104735315,0.10278819,0.12022745,0.14593375,0.16613089,0.17376678,0.17027271,0.16024269,0.14966354,0.1440611,0.14980084,0.16576634,0.18245225,0.18314327,0.1599656,0.118465185,0.078320295,0.05828015,0.06924689,0.10627236,0.15492798,0.19481577,0.21275693,0.2036695,0.17729132,0.14795376,0.13242736,0.13544793,0.15383993,0.17510565,0.18975057,0.19061713,0.18038802,0.16507415,0.15383781,0.14744121,0.1440162,0.13831653,0.13290514,0.12959357,0.13117498,0.13393591,0.13594994,0.1386017,0.14731197,0.16791826,0.19616234,0.22458477,0.24129361,0.2467287,0.2434869,0.23867156,0.23316248,0.2290632,0.22790384,0.22983195,0.23037125,0.22522219,0.21568377,0.21041934,0.216852,0.23547785,0.2586027,0.276294,0.2845601,0.2843492,0.28132012,0.27590597,0.26614368,0.24691643,0.21798968,0.18213278,0.14424627,0.10779202,0.0769098,0.05830716,0.06070219,0.08787409,0.13364649,0.18087827,0.21086855,0.21160448,0.18650812,0.15210673,0.13179022,0.13869806,0.16766115,0.19579436,0.20406733,0.19001943,0.17207806,0.16972668,0.19149803,0.2267447,0.25705287,0.2645255,0.2437117,0.20291483,0.16335846,0.14607693,0.16094984,0.19845597,0.23844594,0.25979966,0.25381887,0.22290571,0.1812769,0.14397983,0.1256434,0.13006681,0.15585755,0.19300604,0.23734249,0.28095523,0.3207788,0.3437418,0.34884945,0.33550107,0.3157573,0.29144475,0.26720408,0.24426271,0.22740366,0.21659772,0.2064212,0.19291526,0.17473884,0.15746953,0.14319938,0.13184682,0.11946013,0.10873278,0.10685521,0.121059306,0.14962287,0.18402003,0.21392761,0.23065446,0.22837175,0.20537658,0.16942704,0.1362987,0.123480044,0.13523988,0.15801531,0.16807264,0.15421146,0.12780415,0.11410216,0.12644334,0.1544954,0.1734562,0.16897021,0.14939322,0.13920943,0.15460706,0.19024502,0.21988235,0.22035724,0.18670763,0.13765569,0.09869953,0.08537529,0.09644341,0.118998624,0.1432836,0.16584553,0.18826282,0.20760536,0.21558706,0.20613772,0.18179797,0.15549962,0.13675724,0.12564258,0.11301502,0.0968788,0.08658901,0.09530806,0.121856,0.1499091,0.16299854,0.163733,0.1700102,0.19657183,0.23668663,0.27000156,0.2794489,0.26636517,0.24381924,0.22679092,0.22126544,0.22726516,0.23730898,0.24485518,0.24263549,0.23578654,0.2335298,0.2476052,0.27198818,0.29078004,0.28618404,0.2581744,0.22084431,0.19078724,0.1753755,0.16881251,0.16411793,0.15747543,0.15727878,0.17144819,0.20137429,0.23323978,0.25093365,0.24748832,0.23028046,0.20974058,0.18937118,0.1660927,0.13941662,0.11609242,0.10441798,0.10690308,0.11752359,0.12642384,0.12538707,0.112042524,0.09244001,0.07778237,0.07698982,0.08991134,0.10806539,0.123528786,0.13081108,0.128614,0.11628938,0.100771874,0.09201922,0.098275356,0.115451954,0.13336903,0.14377183,0.14725883,0.14981295,0.15502362,0.16313536,0.16829987,0.16702372,0.15526016,0.13533689,0.10931847,0.08479252,0.07014071,0.07545731,0.103812255,0.1480507,0.19193411,0.21825077,0.21885484,0.19732617,0.16679084,0.1407577,0.1299286,0.13801086,0.16319913,0.19385816,0.21551578,0.21737243,0.20521046,0.19226205,0.19065918,0.1954877,0.19774866,0.1877956,0.1694126,0.14640817,0.12669013,0.11186734,0.10431423,0.09916266,0.09257538,0.08252218,0.07535579,0.07625374,0.08444189,0.09000134,0.08493474,0.068221025,0.04735164,0.030436613,0.02413795,0.03306095,0.0601695,0.10186473,0.14565589,0.1757162,0.18421859,0.17620595,0.16293307,0.15177798,0.14358439,0.13748625,0.1338777,0.13305765,0.13337205,0.1342883,0.1372961,0.14407237,0.15090865,0.15158331,0.14220577,0.12641378,0.11201189,0.105705775,0.11022675,0.12312075,0.1404136,0.15734756,0.17379658,0.19057833,0.20707034,0.21660878,0.21245022,0.19479702,0.17132245,0.15043414,0.13376305,0.119694956,0.10945166,0.109352686,0.12426921,0.15058579,0.17746697,0.19307512,0.1932043,0.18275891,0.17437528,0.17872024,0.19628908,0.21501559,0.22214349,0.2179871,0.21584238,0.2289474,0.25679216,0.28935087,0.31545272,0.33142436,0.3362193,0.3303106,0.3127563,0.28623888,0.25494388,0.22326899,0.19019805,0.15414913,0.118414074,0.09604251,0.099475116,0.13029638,0.17318414,0.20709978,0.21743245,0.20446455,0.17953236,0.15634109,0.14452757,0.1449622,0.15398411,0.16446163,0.17346539,0.17835818,0.17841645,0.17027247,0.15511817,0.13914432,0.13444047,0.14788963,0.17536552,0.20028436,0.2062455,0.1877438,0.15369119,0.11869379,0.09439346,0.086045764,0.093390934,0.11068528,0.12843217,0.13781428,0.13644597,0.12807609,0.11784848,0.107631534,0.097212166,0.087920584,0.08356749,0.0865844,0.09442245,0.10134707,0.10294806,0.101051174,0.10203737,0.11344644,0.13602303,0.16211925,0.17852415,0.17640287,0.15644117,0.12895633,0.10813608,0.10504666,0.1211228,0.14538796,0.16199547,0.16045265,0.1430687,0.119465165,0.099749506,0.09050458,0.096360706,0.119846426,0.15753818,0.19904774,0.23024477,0.24113178,0.23085932,0.20664513,0.17911595,0.15360786,0.1313795,0.1118879,0.10241961,0.11152,0.14171845,0.17976074,0.2060308,0.20713352,0.18521547,0.15262501,0.12101882,0.094781466,0.07244209,0.054424882,0.046486977,0.057023555,0.08761712,0.1296054,0.16699469,0.18701667,0.1859328,0.17182721,0.15862417,0.15851788,0.1728329,0.19268979,0.20581347,0.20557225,0.19229259,0.16981061,0.14336203,0.11906436,0.10423603,0.10155997,0.10801625,0.115709275,0.12165501,0.12664811,0.13426656,0.14100353,0.14236367,0.13360925,0.119092815,0.10641625,0.10506644,0.11544321,0.13065796,0.1413417,0.14887063,0.16090053,0.18101496,0.1965547,0.19241579,0.16605878,0.13690522,0.12684678,0.14465918,0.17652275,0.20365304,0.21241598,0.20470096,0.18646628,0.16573389,0.14492117,0.12570256,0.108768456,0.098555975,0.10161083,0.12146201,0.15246171,0.18148299,0.1976767,0.20031004,0.19824757,0.20011169,0.20823814,0.21440881,0.2089247,0.18548727,0.15100978,0.11829405,0.100150086,0.0976802,0.10328365,0.10622505,0.10200714,0.09378165,0.08826703,0.09035475,0.09824108,0.10713006,0.11103644,0.11045825,0.11042137,0.11949191,0.14238523,0.17380576,0.20177811,0.21100818,0.19941574,0.17396772,0.14941329,0.13041176,0.1141127,0.096038304,0.080988325,0.07964387,0.09590539,0.121463485,0.14167576,0.1488219,0.14484239,0.13679343,0.13035874,0.12945984,0.13562877,0.1482143,0.16358088,0.1793788,0.19361205,0.20606293,0.21476847,0.21978915,0.22061105,0.21699835,0.20688696,0.18987513,0.16922967,0.15274848,0.1492519,0.16198611,0.18378936,0.19935316,0.19645147,0.17484307,0.14892508,0.1367573,0.15023014,0.18387341,0.22090626,0.24227734,0.24197726,0.226282,0.2076248,0.19486304,0.1907257,0.19396742,0.20123154,0.2094763,0.21600153,0.21985681,0.22207491,0.2248687,0.22928609,0.23419194,0.2363063,0.23298341,0.2215416,0.20367564,0.18379126,0.17041181,0.16795838,0.1758927,0.18796714,0.19699578,0.19958855,0.19715862,0.19826376,0.20965694,0.23293053,0.25938484,0.27876464,0.283963,0.27407226,0.25221562,0.22307312,0.19265687,0.16545916,0.14704196,0.14177746,0.15308708,0.17422205,0.19348437,0.19826245,0.19046365,0.18055874,0.18207812,0.19675155,0.21628608,0.22971146,0.23142868,0.22400276,0.20911019,0.18904483,0.1643147,0.14203037,0.12880693,0.13055472,0.14432557,0.16239643,0.17359792,0.17373876,0.16830786,0.17000265,0.18568705,0.20993303,0.22901152,0.23307632,0.22263576,0.2040898,0.18298233,0.15922634,0.13227029,0.10362766,0.0818632,0.07661972,0.09461578,0.1305842,0.17101145,0.19958864,0.20862542,0.20063154,0.18601717,0.17596924,0.17561638,0.18295294,0.18877788,0.18598074,0.17145081,0.15099077,0.13175984,0.120624244,0.11796641,0.12069118,0.12307787,0.12172538,0.116624735,0.11036215,0.10616089,0.10592093,0.11286653,0.12833287,0.15211509,0.17750621,0.19961877,0.21452983,0.22436263,0.22757249,0.22260915,0.20523596,0.17640148,0.139587,0.10247508,0.073196374,0.058794554,0.06268655,0.08283032,0.112624764,0.14153308,0.15914111,0.15985961,0.14558859,0.124345444,0.10350555,0.08796156,0.079426676,0.07830945,0.081749864,0.08341429,0.07769635,0.064163074,0.049882814,0.04442193,0.054490525,0.07761408,0.104929976,0.12902753,0.15428792,0.1912889,0.2427475,0.2935206,0.3212025,0.31523797,0.28345305,0.24437803,0.21228863,0.19322847,0.18476383,0.17950316,0.16964297,0.15222704,0.1349466,0.127973,0.13544716,0.14687437,0.14873387,0.13701266,0.1255465,0.13472898,0.17402579,0.23193564,0.2826198,0.30589524,0.29866555,0.27361232,0.24462742,0.21906503,0.19838701,0.18348925,0.17742664,0.1810516,0.19146228,0.20131348,0.20537229,0.20361495,0.20009623,0.1993261,0.2013401,0.20448971,0.20308077,0.19270222,0.17075463,0.14426215,0.12703498,0.132299,0.16155636,0.20259471,0.23833092,0.25825843,0.26167917,0.25509486,0.24308605,0.22960977,0.21560645,0.20409948,0.19333732,0.17831333,0.1533488,0.12461203,0.112744875,0.14023475,0.21117623,0.29976878,0.36552954,0.37763903,0.33772874,0.27517572,0.22798188,0.2171957,0.23674512,0.26286614,0.26976347,0.24762447,0.20229907,0.15408294,0.12097744,0.11195362,0.12052701,0.13512035,0.14691085,0.15429789,0.159854,0.1644376,0.16744989,0.16464932,0.15633862,0.1439077,0.13515265,0.13363087,0.14488558,0.16550826,0.19086857,0.20855503,0.21604554,0.2157098,0.21655245,0.21798353,0.21584637,0.20606275,0.19276524,0.18150479,0.1740792,0.16562952,0.15180524,0.13607167,0.13197877,0.15166928,0.19381855,0.23920421,0.26669464,0.2643391,0.23765437,0.19914077,0.16838634,0.15959029,0.17794417,0.20710082,0.22579886,0.22223216,0.20983231,0.20812117,0.2261508,0.2509667,0.26412603,0.25419912,0.22546421,0.18923412,0.1580165,0.13611978,0.12232707,0.11244898,0.10722047,0.10898933,0.11721867,0.12698312,0.1348681,0.14348477,0.15586485,0.16935368,0.17570595,0.16962896,0.15466559,0.14142461,0.14046519,0.15495054,0.17831303,0.1989402,0.2081529,0.20617902,0.19796024,0.18795218,0.17393214,0.153893,0.12930638,0.11142736,0.109664045,0.12661493,0.15078174,0.17038506,0.17704487,0.17176072,0.15602186,0.13555576,0.11826403,0.112587065,0.119505584,0.13208099,0.14561374,0.15793617,0.16895305,0.16989583,0.15613693,0.13010593,0.1075634,0.100516915,0.111689605,0.13089916,0.14624305,0.15259898,0.15433376,0.16013354,0.17235225,0.18608217,0.1912572,0.1826011,0.16029358,0.13242789,0.109607846,0.1035316,0.11777774,0.1465925,0.17494117,0.19257236,0.198408,0.20041387,0.20202953,0.20114978,0.1950049,0.1872555,0.1831333,0.18061279,0.17148133,0.1500657,0.121457614,0.09851008,0.091637105,0.10191992,0.12031305,0.13646364,0.1448753,0.14695756,0.14746636,0.1500298,0.15681006,0.16553976,0.17311555,0.17605393,0.17597966,0.17517745,0.17482372,0.1732049,0.17019635,0.16868578,0.1704865,0.17423819,0.17588073,0.17408264,0.16885519,0.15927087,0.143012,0.12098825,0.101282544,0.09290487,0.0999384,0.11607164,0.13442342,0.14957373,0.16409267,0.1789657,0.19797951,0.21917085,0.24094367,0.25501978,0.255573,0.23900957,0.21030326,0.17844528,0.15228973,0.13538963,0.12538959,0.117980935,0.109080225,0.09688581,0.081038915,0.06568529,0.0577367,0.06426099,0.0854994,0.11481794,0.14217512,0.15952466,0.16326457,0.15531848,0.14457956,0.14453606,0.1630774,0.19447477,0.21963017,0.2236516,0.20532708,0.17818113,0.15381545,0.13548777,0.118976116,0.10444048,0.1009714,0.12052542,0.1649089,0.2172606,0.25183827,0.25123462,0.22024469,0.17791487,0.14281529,0.120930545,0.10969854,0.10525265,0.10623967,0.110879034,0.1138405,0.10914889,0.09395314,0.07351633,0.057468783,0.057294656,0.075995974,0.11045357,0.14816207,0.1804141,0.19877292,0.20520593,0.20247716,0.19754632,0.18984824,0.17725722,0.1592872,0.14398642,0.1388966,0.14097607,0.13678148,0.116294794,0.08363691,0.054371085,0.04395935,0.059039205,0.09412763,0.13431974,0.16245775,0.16935347,0.15717165,0.13478525,0.10973308,0.086292654,0.067124635,0.05382435,0.046218578,0.043605983,0.04830877,0.06433728,0.092066996,0.12245864,0.14127053,0.13767521,0.114065714,0.08365792,0.06419619,0.06536341,0.08695506,0.11731726,0.14431868,0.15748519,0.15688586,0.14686386,0.1375946,0.13382703,0.13626774,0.138099,0.13515736,0.12712508,0.11967001,0.115774006,0.115819566,0.11632291,0.11682724,0.116184674,0.11402873,0.10658186,0.09307625,0.076978914,0.06792518,0.0739442,0.09373617,0.11614861,0.12928021,0.13211292,0.13222218,0.13527845,0.13688503,0.12895049,0.111371905,0.09477004,0.0912457,0.10280516,0.11993161,0.13226657,0.13715126,0.14077365,0.14750637,0.1554202,0.15746324,0.14901018,0.13098328,0.1085028,0.090221815,0.085498095,0.100645445,0.13041846,0.15865402,0.16786398,0.15478188,0.13112313,0.11375695,0.108844794,0.11151009,0.11130432,0.10452181,0.09633281,0.09775423,0.11320756,0.13511534,0.14919114,0.15122338,0.15144797,0.16473962,0.19109708,0.21543567,0.21950607,0.19946218,0.16694252,0.14055984,0.13398279,0.14718352,0.16934675,0.18407093,0.18369375,0.16846639,0.14601715,0.12166062,0.1013189,0.09144187,0.097937725,0.12031328,0.1486098,0.1695804,0.17445807,0.16620944,0.15738891,0.15982138,0.17446415,0.18865557,0.18982486,0.17674142,0.16146547,0.15487652,0.15641409,0.154936,0.14116661,0.11591008,0.09073246,0.07709629,0.07949141,0.09097236,0.10189393,0.105301745,0.10133499,0.09338877,0.085389555,0.08053362,0.08085231,0.08773265,0.10133397,0.12130674,0.14585517,0.17097063,0.1902944,0.19739471,0.18965904,0.16874723,0.14019279,0.10951813,0.08464616,0.07255315,0.07814354,0.095915616,0.11352059,0.11710537,0.10261009,0.076572,0.05273758,0.044072315,0.05607034,0.08398771,0.11289364,0.12829562,0.123665296,0.107909404,0.09447647,0.093571104,0.10247746,0.11478313,0.12483305,0.13401416,0.14240485,0.14828335,0.14722538,0.14018886,0.13130009,0.12456166,0.11786688,0.10724178,0.093112566,0.082345836,0.082238376,0.09224745,0.10512637,0.11315426,0.11464869,0.11171766,0.10711536,0.10474866,0.11136544,0.1334325,0.16898847,0.20641452,0.23130941,0.23607539,0.22226143,0.19735956,0.17051183,0.14947872,0.13915811,0.14047445,0.15109734,0.16437691,0.17136185,0.16365571,0.14170702,0.115511924,0.10209326,0.11191666,0.14391164,0.18225437,0.20967852,0.21435611,0.19841124,0.17025106,0.14169514,0.12052956,0.112634696,0.11749207,0.12977044,0.13982882,0.14420758,0.14797133,0.15963785,0.17791677,0.18949847,0.1826203,0.16037841,0.14351176,0.14832635,0.17454672,0.19969924,0.20565605,0.1887777,0.16741663,0.15899116,0.17254947,0.20033097,0.22872685,0.24331416,0.23720421,0.2125113,0.1776556,0.14271107,0.113886215,0.09458727,0.086217545,0.08949566,0.10208085,0.118881464,0.13665102,0.15872812,0.18981428,0.22710304,0.25588122,0.26195964,0.24155293,0.203451,0.15861067,0.11515042,0.08016253,0.06330151,0.07521748,0.11775152,0.17771168,0.22871117,0.2479251,0.23178129,0.19896014,0.17595655,0.17689548,0.19643933,0.2142628,0.2119693,0.18451186,0.14598815,0.121172845,0.12759471,0.16354914,0.20607553,0.23155038,0.22743781,0.20086499,0.16431884,0.13096504,0.10854218,0.10577344,0.1273491,0.17103665,0.22194026,0.26173314,0.27803335,0.2713661,0.25011018,0.22284333,0.19654764,0.17620705,0.16567457,0.16140221,0.15427117,0.13512835,0.10601019,0.07963886,0.070654795,0.082131535,0.10461881,0.124646835,0.13900578,0.15344346,0.17530836,0.20015138,0.21774888,0.21945834,0.20964713,0.19929361,0.19793133,0.20442037,0.20849161,0.19898182,0.17189048,0.1350102,0.10259222,0.08622452,0.085826635,0.089813314,0.08756509,0.08006822,0.08334014,0.11144266,0.16521941,0.22572748,0.2718654,0.28860003,0.27604607,0.24007337,0.19503419,0.15760365,0.14538829,0.16111153,0.19228059,0.21674322,0.22404428,0.21868248,0.21326081,0.21093018,0.20417714,0.18577386,0.15950143,0.1391196,0.13396825,0.14106359,0.1467553,0.14208488,0.13273114,0.13550216,0.16315733,0.21093309,0.2617385,0.29675496,0.30928138,0.30087194,0.2792395,0.2505898,0.22314577,0.20479964,0.20111002,0.2084626,0.21668959,0.21878994,0.21866238,0.22493027,0.23870707,0.25181457,0.25812516,0.25979695,0.2616676,0.26065546,0.2512962,0.23391658,0.21830797,0.21178071,0.21199657,0.21028024,0.20013845,0.18289612,0.1621902,0.14164808,0.12285915,0.11013303,0.10880678,0.119931154,0.13514473,0.14210641,0.13614497,0.12606825,0.12367269,0.13235262,0.14178532,0.14201415,0.13083357,0.118430294,0.1151296,0.12499306,0.14185661,0.15635248,0.1636247,0.16578008,0.16739278,0.17038302,0.17344873,0.17721029,0.183304,0.19354618,0.20423287,0.2096722,0.20429666,0.18894885,0.1708491,0.16144256,0.16870184,0.19157104,0.21919477,0.23842072,0.24159871,0.23047109,0.2123817,0.19522075,0.18425797,0.18124066,0.18354155,0.18427302,0.17664796,0.16082376,0.14452685,0.13664508,0.13907675,0.14940639,0.16621643,0.19098254,0.22109236,0.24602039,0.25457427,0.2416886,0.21536052,0.18581705,0.16391136,0.15202785,0.15037306,0.15512049,0.16307175,0.1717159,0.17997535,0.18767858,0.19413798,0.1970473,0.19334179,0.17941873,0.15763535,0.13678168,0.12945814,0.13940734,0.15667105,0.16636354,0.1646343,0.16550207,0.18547672,0.22716908,0.27286768,0.30189207,0.3035227,0.28278637,0.2504541,0.21668659,0.18892516,0.17040385,0.16207407,0.15846844,0.15488826,0.14596085,0.13337773,0.120402575,0.113516666,0.11570668,0.12751342,0.14609134,0.16606231,0.18167208,0.18639876,0.17964433,0.16371208,0.14569904,0.1290646,0.11608421,0.104968585,0.09422693,0.082761645,0.07430323,0.076249175,0.09393702,0.122865975,0.14955123,0.16244608,0.16205324,0.15915269,0.16447268,0.17989145,0.20033562,0.21769454,0.22672094,0.22382613,0.21093458,0.19300818,0.17917587,0.17492627,0.18007,0.18859,0.19461197,0.19595657,0.19210206,0.1824614,0.16821156,0.15424193,0.14807917,0.15065767,0.15790842,0.1614995,0.1587922,0.14896326,0.13668673,0.12932433,0.13554253,0.15517174,0.17563905,0.18484078,0.18441427,0.19011271,0.20818037,0.22670972,0.22656178,0.21157645,0.20575647,0.2319142,0.2801931,0.32017195,0.32344577,0.28940102,0.23355323,0.17547965,0.12616815,0.096262075,0.093881674,0.12051251,0.15913813,0.18441264,0.17938179,0.15483846,0.13815802,0.15184826,0.19071142,0.22804825,0.23551686,0.20612013,0.15841876,0.123681925,0.121102475,0.1445849,0.16693456,0.16783102,0.14963222,0.13815707,0.15465873,0.20158376,0.25813153,0.3031074,0.32290486,0.31890312,0.29396293,0.25608388,0.21564187,0.18699896,0.1759565,0.17435808,0.17027701,0.16000503,0.15326577,0.15655541,0.1676274,0.17712176,0.18211226,0.18514009,0.1878144,0.18557574,0.17324726,0.15328993,0.13786621,0.13946564,0.16047777,0.18620051,0.19644696,0.1785251,0.14033581,0.102302164,0.08378417,0.089110635,0.10756248,0.125867,0.13880743,0.1540779,0.17917551,0.21240602,0.23973002,0.24846381,0.23658252,0.21174596,0.1831696,0.15573752,0.132556,0.114236,0.10006854,0.087353736,0.07586306,0.06777807,0.06620014,0.073511064,0.09132441,0.12149926,0.16049771,0.1978787,0.21732517,0.21019179,0.1833428,0.15747072,0.15161191,0.16966517,0.20015346,0.22527073,0.23334305,0.22333531,0.20606798,0.19583078,0.2020942,0.22193277,0.24548163,0.2625977,0.26877347,0.26447332,0.2545307,0.24768092,0.24916954,0.2565538,0.25729573,0.24291402,0.21528839,0.18905874,0.17630617,0.18058252,0.19405216,0.20759366,0.21299057,0.20668365,0.18836041,0.16402596,0.14322871,0.13340898,0.1341149,0.13843673,0.1405614,0.14104699,0.14450401,0.15362696,0.16318905,0.16430743,0.1504712,0.12766476,0.10961866,0.109429546,0.12900674,0.16141203,0.19891387,0.2348092,0.26373374,0.27719283,0.27083656,0.2449332,0.20648658,0.16332775,0.12373516,0.09602059,0.08715963,0.09843073,0.122909196,0.14986403,0.17196387,0.18821335,0.20001666,0.20678453,0.20630704,0.19936204,0.19080426,0.18500061,0.18078591,0.1706143,0.1494786,0.11977247,0.094946064,0.08802709,0.10572996,0.14069334,0.17909515,0.2056061,0.21262918,0.20150383,0.18250144,0.16653568,0.15844636,0.15431227,0.14997561,0.14731674,0.15206395,0.16410762,0.1734796,0.17115521,0.16029929,0.15661798,0.17144196,0.19810957,0.2170735,0.21509229,0.2000925,0.19232114,0.2056386,0.23314194,0.25571525,0.2572742,0.23789684,0.21041703,0.19088624,0.18750918,0.19665295,0.2070061,0.20795377,0.19819377,0.18650241,0.18602766,0.20334984,0.23424347,0.26644143,0.29035723,0.30125636,0.29977098,0.28898552,0.27686632,0.2732019,0.2802401,0.28922388,0.28494522,0.2604012,0.220713,0.1803389,0.15354459,0.14850666,0.16323137,0.18683647,0.20432246,0.20593004,0.19125332,0.16831286,0.14672782,0.13363875,0.13289644,0.14546181,0.16670237,0.18534487,0.18877594,0.17443319,0.15575193,0.15288645,0.1770608,0.2189476,0.25741258,0.27496126,0.26959828,0.25120464,0.22796877,0.20250599,0.1733001,0.14732552,0.13571979,0.14759196,0.17676473,0.20664315,0.22154327,0.21820082,0.2058382,0.1944563,0.18819427,0.18035133,0.16429165,0.13978182,0.122063786,0.13013063,0.17445226,0.24185662,0.30527917,0.3365209,0.3260744,0.28090575,0.2211547,0.16404642,0.120771386,0.09503461,0.09256482,0.12019446,0.1779604,0.24829705,0.30231333,0.31737646,0.2923781,0.24554051,0.20087717,0.17473386,0.16803962,0.16930467,0.1630699,0.14427955,0.12042502,0.1068145,0.11229012,0.13676368,0.17116086,0.20497994,0.22762673,0.2356086,0.235969,0.24571514,0.2742785,0.31228817,0.3338622,0.3249065,0.29276836,0.2616295,0.24392702,0.23833047,0.23647499,0.24010515,0.2553463,0.2835956,0.31367335,0.33113432,0.326782,0.30448747,0.27628222,0.255699,0.24840444,0.2506895,0.258334,0.27017203,0.28745505,0.30220246,0.3032256,0.2842433,0.2526585,0.22232497,0.20289463,0.19730319,0.20205878,0.21568035,0.23462844,0.2539985,0.2596495,0.24023329,0.19631027,0.15056409,0.13146003,0.15348767,0.20433442,0.25608715,0.28686908,0.293741,0.29051495,0.29117242,0.299113,0.30285075,0.2887961,0.25155786,0.20219393,0.1567854,0.12535714,0.104078345,0.08611426,0.07202605,0.07253021,0.0958542,0.13772553,0.18148674,0.21211784,0.2252721,0.22990648,0.23582661,0.24882536,0.26372463,0.27325296,0.2683483,0.24746026,0.21564806,0.18798651,0.17942108,0.19634499,0.22850315,0.25896826,0.27314368,0.26818275,0.24625449,0.21364592,0.17826058,0.1518699,0.14406675,0.15515685,0.17296042,0.17973854,0.16326755,0.12685096,0.08586752,0.059213128,0.054511804,0.06772854,0.086776264,0.10336172,0.112741895,0.11413362,0.10794854,0.101228796,0.10516554,0.12723778,0.16234995,0.19394521,0.20865852,0.20269273,0.18498616,0.16404516,0.14766492,0.13984637,0.14672999,0.17085141,0.20685267,0.2397651,0.25472203,0.24721657,0.22757798,0.21057981,0.2066645,0.2130937,0.22223414,0.226249,0.22546983,0.22344767,0.22412813,0.2292412,0.23880939,0.2521647,0.26594365,0.2770724,0.2838546,0.28501287,0.2783341,0.2610221,0.2368956,0.21324225,0.19751187,0.18976311,0.18629616,0.18299705,0.17802818,0.17199898,0.16531062,0.15863472,0.15117921,0.1449979,0.14480856,0.15438159,0.17062311,0.18288545,0.1841067,0.17395185,0.16002406,0.14697833,0.13776521,0.13196938,0.12952058,0.13229485,0.14334589,0.16707808,0.19737154,0.22306895,0.22812472,0.21010643,0.17387144,0.13544273,0.10906283,0.111867845,0.14836387,0.2099787,0.26700723,0.29404172,0.27838725,0.23332953,0.17842759,0.13588394,0.12023636,0.13802457,0.18085654,0.22596781,0.25275144,0.25316754,0.23720817,0.21557486,0.19561036,0.17671299,0.15927762,0.1425808,0.12741028,0.11535994,0.1105777,0.11585327,0.12678665,0.1355488,0.13886265,0.14887752,0.17863788,0.22999962,0.2805812,0.3086392,0.30453596,0.2817568,0.25244993,0.22324689,0.19123234,0.16133817,0.14228714,0.14255476,0.15740782,0.17569308,0.18809158,0.19645983,0.21048824,0.23559612,0.26676965,0.2852725,0.2761881,0.23768161,0.18986596,0.16013533,0.16485138,0.19907434,0.23728316,0.25743428,0.24882935,0.22247481,0.19217049,0.17007367,0.1579506,0.15577675,0.16211142,0.1728955,0.17768097,0.16706796,0.14335297,0.12512015,0.12832695,0.15215711,0.17325462,0.17218901,0.14586352,0.11230878,0.08819651,0.08057325,0.08565992,0.09971931,0.11945895,0.13840167,0.14444168,0.129523,0.09742103,0.06469617,0.047758307,0.052568663,0.07203838,0.09348965,0.10752565,0.11237827,0.11219408,0.11476765,0.12447407,0.1422764,0.1615025,0.17619012,0.1794848,0.16990213,0.14884646,0.12669422,0.114756495,0.11984679,0.13404001,0.146281,0.14876524,0.14507549,0.13910061,0.13233353,0.12514175,0.12184308,0.12982418,0.1493901,0.17224963,0.18475085,0.17827456,0.15359373,0.11877317,0.086086236,0.06585926,0.06435905,0.08047512,0.10622022,0.13194554,0.14831156,0.15372728,0.14832574,0.13794893,0.12507789,0.11532269,0.11157801,0.11624726,0.12417278,0.12517403,0.11281761,0.092564754,0.08346311,0.10124868,0.1469538,0.19902287,0.23030013,0.2235233,0.18676996,0.14389881,0.11830109,0.11590149,0.12661596,0.13776803,0.14571594,0.15618522,0.17282878,0.19048943,0.19736643,0.18646085,0.1616685,0.13753302,0.12943707,0.14568847,0.17927764,0.2134835,0.23056002,0.22788824,0.21672869,0.21440615,0.22610779,0.24180849,0.24468677,0.22727238,0.20021302,0.18243758,0.18740356,0.20931454,0.23144686,0.23791158,0.22624469,0.20293637,0.17574017,0.14930141,0.12769262,0.11502165,0.1129187,0.11737011,0.12504496,0.13494606,0.15055262,0.17005236,0.18825968,0.19703557,0.19368683,0.17924434,0.15794043,0.13511641,0.1174373,0.11252278,0.12295002,0.14516118,0.16808005,0.18281615,0.18398352,0.17383747,0.15562452,0.13481255,0.115406655,0.10226413,0.09992985,0.1130946,0.14361757,0.1843549,0.21981692,0.23213065,0.21715681,0.18688034,0.16475604,0.1661246,0.19203252,0.22896655,0.2619056,0.27973786,0.2787822,0.26000226,0.22925402,0.19328259,0.15864317,0.12854318,0.108995326,0.10696516,0.12897988,0.16795488,0.20629948,0.22242357,0.21058995,0.1807968,0.15397902,0.14265577,0.14731102,0.15539546,0.1565757,0.14908786,0.14606398,0.16073792,0.19858158,0.24484766,0.27962473,0.2850976,0.26306286,0.22432595,0.18428819,0.14769523,0.11558186,0.08781891,0.07168146,0.07245382,0.0905746,0.11626498,0.14019369,0.15507378,0.15965812,0.15353137,0.13801073,0.11806923,0.10359376,0.10913081,0.14159493,0.19485913,0.24618392,0.27487776,0.2714366,0.24369848,0.20355679,0.16423558,0.13728587,0.13444091,0.15713908,0.19123144,0.21121244,0.20122564,0.16705494,0.13327666,0.120465375,0.1341352,0.16273035,0.1930514,0.21403068,0.22211005,0.2175159,0.20730507,0.20150524,0.20793933,0.22593272,0.2456872,0.25448367,0.24449998,0.21698141,0.18138796,0.14857109,0.1289377,0.12867044,0.15158392,0.18993525,0.2281928,0.24786484,0.24695031,0.23657955,0.23086506,0.22956137,0.22393243,0.20799129,0.18684708,0.17083286,0.16786309,0.179411,0.20053639,0.22285193,0.23755233,0.2405596,0.23292713,0.21996905,0.20651446,0.19451372,0.18370487,0.17603165,0.17727275,0.19449396,0.22551274,0.26044258,0.28235093,0.2839819,0.26523829,0.23787932,0.21199025,0.19443184,0.18213105,0.16873027,0.15288435,0.14268711,0.14850245,0.16935849,0.19161944,0.20188624,0.20103353,0.19972758,0.20301831,0.20068939,0.18126328,0.14809686,0.12538132,0.13694264,0.18535204,0.24550872,0.285261,0.2894173,0.26487714,0.22693105,0.1849774,0.14576532,0.121829815,0.1282313,0.16872744,0.22626871,0.27387562,0.29230666,0.2800876,0.24843591,0.20796816,0.1654738,0.1245204,0.09523619,0.0886308,0.11190894,0.15323798,0.19069003,0.20288253,0.19238086,0.17773217,0.17821364,0.19235058,0.20454097,0.20314576,0.19060604,0.1797242,0.17845573,0.1867708,0.19577299,0.19598824,0.18426885,0.16797405,0.16192023,0.17521445,0.20475096,0.23425722,0.24751438,0.23742251,0.21015167,0.17849724,0.15438849,0.14747892,0.16176094,0.19562055,0.23441081,0.26111448,0.26176873,0.2385012,0.20116746,0.16368349,0.13526754,0.122180544,0.12620062,0.14388691,0.16478665,0.17597377,0.16940077,0.14938892,0.13042806,0.12766159,0.14515543,0.17194574,0.19238259,0.19752403,0.19291101,0.18717885,0.18477742,0.18050225,0.16978334,0.15221834,0.13185199,0.1120039,0.093279414,0.076197974,0.06194724,0.053877387,0.05565847,0.06979052,0.094068676,0.119703285,0.13488562,0.13251357,0.11623949,0.096428394,0.08194143,0.07429571,0.07280714,0.07713147,0.087976605,0.102365226,0.118483484,0.13796706,0.16549636,0.19962473,0.23288016,0.25614595,0.2657695,0.26170886,0.24483842,0.21834879,0.18783261,0.16276555,0.14690506,0.14070769,0.13857883,0.14039253,0.14597018,0.15672146,0.16641897,0.16942032,0.1610372,0.14598465,0.13250718,0.13267912,0.15009524,0.17884982,0.20068204,0.20186181,0.17905909,0.14594437,0.119721584,0.11433425,0.13086067,0.15973444,0.18812342,0.20799811,0.22060327,0.22820146,0.23084067,0.22560412,0.21421915,0.20320658,0.19809675,0.1970868,0.1917057,0.17653322,0.15632607,0.14482725,0.15200101,0.17482708,0.19666958,0.2018503,0.18531114,0.15898623,0.1410162,0.14593369,0.17317463,0.20763308,0.23088466,0.23296867,0.22095864,0.20875156,0.2076066,0.21759838,0.23310798,0.24932921,0.2626553,0.26761183,0.25490996,0.22077473,0.17415763,0.13588724,0.123453714,0.13809747,0.16391511,0.18275459,0.18715423,0.18192238,0.1739993,0.16470826,0.15238832,0.13738805,0.12539606,0.119645685,0.11966193,0.118476056,0.11248518,0.10004481,0.085478425,0.07219181,0.06603532,0.070712306,0.087063186,0.10872809,0.12576373,0.13198216,0.12780045,0.119982064,0.11365381,0.11248565,0.11451464,0.11859438,0.1241423,0.13923246,0.1706896,0.22136068,0.27786222,0.32572564,0.3522757,0.35973904,0.35183537,0.3334744,0.30463204,0.2674615,0.22828722,0.19538082,0.1751275,0.16453789,0.15527312,0.13741517,0.110584706,0.08396683,0.07335326,0.08891573,0.12813468,0.175164,0.21123017,0.22524607,0.21736695,0.19383304,0.16183548,0.12794404,0.098811,0.079541124,0.07144788,0.07280937,0.080896646,0.09467435,0.112828255,0.13144517,0.14321865,0.14140667,0.12869246,0.117405646,0.12364429,0.14932348,0.18172409,0.20108432,0.20113273,0.18760674,0.17065507,0.15366916,0.13808793,0.12816407,0.12765996,0.13389073,0.13622934,0.12831531,0.112704374,0.10080429,0.09847248,0.10227925,0.10119767,0.090636194,0.07702916,0.0730732,0.08473796,0.104305826,0.11748034,0.1143479,0.0985022,0.079814345,0.06720636,0.06225821,0.06578065,0.0802992,0.106797636,0.13968341,0.16696422,0.18196477,0.18319522,0.17563838,0.16148858,0.14766212,0.14112882,0.14818364,0.16291708,0.17428131,0.17359203,0.1637703,0.1513127,0.13890128,0.12311899,0.10177693,0.078264125,0.059256684,0.05094683,0.05637127,0.07423743,0.09782178,0.118098915,0.13067336,0.13808656,0.14607932,0.15687586,0.17112392,0.18850185,0.21061118,0.23215075,0.2459554,0.24045204,0.21448694,0.17304301,0.13357587,0.11018778,0.11099877,0.12787922,0.14669439,0.15259612,0.14143883,0.11731694,0.09067473,0.07016075,0.061360877]