[0.07257725,0.10832437,0.18809243,0.2887336,0.3813636,0.44414315,0.4725579,0.4765712,0.4698658,0.46054915,0.44831356,0.42626294,0.38553217,0.32287112,0.24608676,0.17308383,0.12275428,0.106683135,0.12420407,0.16512509,0.21392874,0.25811794,0.2921319,0.31715322,0.3333982,0.33582214,0.3165241,0.27333292,0.21405911,0.1534861,0.10533276,0.07791542,0.07238514,0.08469105,0.10580776,0.126164,0.13872366,0.14254929,0.14013058,0.13482904,0.12838732,0.1217767,0.11554437,0.1102299,0.10651515,0.106123425,0.11037362,0.11809442,0.12378832,0.12178842,0.11031026,0.0940946,0.079795875,0.07228965,0.07157987,0.07488542,0.07797491,0.078047216,0.074275106,0.06862036,0.0642878,0.063999325,0.06808491,0.074123986,0.07870827,0.07969447,0.07798063,0.07710317,0.08095086,0.090949304,0.1040278,0.11476535,0.11883249,0.11660269,0.11165511,0.10808159,0.10714223,0.10792283,0.10818458,0.10660616,0.10257965,0.09708678,0.09182928,0.08920353,0.09029275,0.09411479,0.097652026,0.09803381,0.09456018,0.089388095,0.08658334,0.0893099,0.097953804,0.109152555,0.118796796,0.12417692,0.12570472,0.12472559,0.1224008,0.11877047,0.11377886,0.107465684,0.100684054,0.09512245,0.093484014,0.09698361,0.10369075,0.10765881,0.1034833,0.089873396,0.07198445,0.05768904,0.053739283,0.061604213,0.077573426,0.094258636,0.105064966,0.10719388,0.10449151,0.106834434,0.1260812,0.16817607,0.22697675,0.28706607,0.33330336,0.3597149,0.36932632,0.36830342,0.36123356,0.35076824,0.3400096,0.3328277,0.33206734,0.3371627,0.34468496,0.35122326,0.35492635,0.35346854,0.34199762,0.3151176,0.2726899,0.22207151,0.17469732,0.139173,0.11811458,0.10902303,0.10749248,0.109517835,0.11294266,0.11787909,0.12544802,0.13593952,0.14752235,0.1574805,0.16368578,0.16550988,0.16324876,0.15761356,0.14984107,0.14148235,0.13416128,0.12878889,0.12581311,0.12545143,0.12731005,0.12963353,0.12910168,0.12321371,0.11225122,0.10003195,0.09130146,0.089386225,0.094288506,0.10327098,0.111702986,0.115418464,0.11216583,0.10343511,0.09393572,0.089710824,0.094242565,0.10593387,0.11909499,0.1279362,0.13063256,0.12977035,0.12985685,0.13345926,0.13958375,0.14449005,0.14492625,0.1400658,0.13202877,0.12403091,0.11900843,0.11810514,0.1202758,0.12274509,0.122727595,0.11923194,0.11338428,0.10731507,0.10259629,0.099534474,0.09754995,0.09568492,0.093365155,0.09077234,0.08973223,0.09278902,0.10151749,0.11405031,0.12602611,0.13330865,0.13499473,0.13297468,0.12974389,0.12646875,0.12304348,0.119050294,0.11472251,0.11100111,0.10939351,0.11055166,0.113488436,0.114679575,0.11027888,0.09811247,0.08055886,0.06342316,0.054101866,0.056669597,0.07006209,0.08735462,0.10044413,0.10378862,0.0993965,0.09677994,0.11004329,0.14797918,0.20693935,0.27108905,0.32433426,0.3602929,0.38408503,0.4036851,0.4233452,0.44162455,0.455408,0.46298102,0.46523306,0.46318805,0.45503834,0.4358269,0.40124467,0.3528075,0.29879513,0.2501143,0.21416038,0.19255573,0.1829745,0.18206798,0.18620674,0.19147491,0.19492966,0.19670272,0.19974297,0.20726486,0.2197441,0.23487122,0.2484415,0.2564873,0.2564367,0.2493035,0.23930164,0.23188436,0.22998518,0.23323573,0.23922049,0.24622153,0.25353447,0.261291,0.2684666,0.27366015,0.27509198,0.27347848,0.27055812,0.26890907,0.26880574,0.26993406,0.2710078,0.2718191,0.27175137,0.27123362,0.2704885,0.27057672,0.27176926,0.27464855,0.27921978,0.2853019,0.2914786,0.29582062,0.29685616,0.29461733,0.29051137,0.2863982,0.28390083,0.28406176,0.28695667,0.29159138,0.2962214,0.2996545,0.3017194,0.30298153,0.3038417,0.30395877,0.30255985,0.2981591,0.28995314,0.2776706,0.26293245,0.24716885,0.23210521,0.21851325,0.20792176,0.20154041,0.20020561,0.2031002,0.20815797,0.21286024,0.215316,0.21506591,0.21272868,0.2096961,0.20705654,0.2051949,0.20300563,0.19909245,0.19309984,0.18718792,0.18422149,0.18513514,0.1870665,0.18551493,0.17794877,0.16600889,0.15405078,0.14599013,0.14329088,0.14465131,0.1474355,0.14885415,0.14787737,0.14523059,0.1431843,0.14352341,0.14708664,0.1528408,0.15878074,0.16265513,0.16406195,0.16474132,0.16752188,0.17352332,0.18128097,0.18755466,0.1900373,0.18823276,0.18367106,0.17846559,0.17483509,0.17381519,0.17488998,0.17609215,0.17567469,0.17324823,0.16971791,0.16576408,0.16096903,0.1535461,0.14168777,0.1246635,0.104693145,0.0865517,0.07626231,0.07732048,0.08888417,0.10555909,0.12100882,0.13095315,0.13513821,0.13557689,0.134522,0.13272035,0.13008802,0.12666981,0.123241186,0.12096361,0.12073964,0.12307125,0.12728664,0.13166149,0.1336289,0.13169579,0.12599902,0.11833846,0.1110122,0.10607489,0.104635864,0.10623098,0.10914796,0.11125508,0.11102859,0.10804214,0.10285475,0.096960574,0.09172624,0.08810147,0.08613092,0.085832395,0.08708018,0.08965116,0.09263895,0.09477749,0.09479305,0.092183374,0.08737978,0.08190323,0.077784486,0.07713786,0.08094284,0.08840103,0.09663895,0.10223758,0.102943726,0.09914147,0.09348524,0.08929195,0.08840654,0.08999487,0.09141285,0.09032604,0.086825036,0.08364441,0.084552415,0.09170144,0.103905775,0.11714322,0.12712573,0.13182771,0.13280392,0.13467956,0.14385563,0.16539466,0.19987734,0.24164595,0.28161618,0.3120022,0.32973874,0.33542666,0.33070037,0.3165871,0.29432064,0.26503053,0.22979897,0.18907587,0.14643611,0.10959881,0.09077915,0.098972715,0.13389151,0.18181773,0.22312449,0.2436106,0.24321832,0.23346113,0.22710912,0.22954786,0.23669387,0.23976105,0.23071824,0.20732413,0.17531168,0.14796434,0.1391703,0.15520594,0.18919109,0.22713387,0.25627735,0.272072,0.2755375,0.27082503,0.2627114,0.25667608,0.25604203,0.26000524,0.2636225,0.2614126,0.25044504,0.23136754,0.2073382,0.18302475,0.16527693,0.161267,0.17552797,0.20466448,0.24000561,0.27142394,0.29329264,0.30279115,0.30017367,0.28808573,0.27274442,0.26037326,0.25370094,0.25084057,0.24819171,0.24318047,0.23415433,0.21883155,0.1944897,0.16081654,0.12300915,0.09112536,0.07619887,0.08322513,0.10828823,0.13892563,0.16239189,0.17121804,0.16713487,0.15691955,0.14905797,0.14877236,0.15683202,0.16871555,0.1788152,0.18373658,0.18474837,0.18473496,0.18547957,0.18630856,0.18558978,0.18229438,0.1762454,0.1678835,0.15828818,0.14868014,0.14020024,0.13232991,0.12423441,0.11489133,0.10480776,0.094746865,0.085937135,0.079277284,0.07540706,0.07408906,0.07425186,0.0754793,0.079209,0.08963115,0.10961815,0.13800132,0.16680075,0.1877507,0.19646017,0.196203,0.19230913,0.18875323,0.18596148,0.18360339,0.18206175,0.18245868,0.18491234,0.1889664,0.19420864,0.20142025,0.20906574,0.21260421,0.20624214,0.19082886,0.17518996,0.1713313,0.1829618,0.20344073,0.22045599,0.22764228,0.22615437,0.22217493,0.21945392,0.21955176,0.2216291,0.22477962,0.22614984,0.22416192,0.21848983,0.21270478,0.20984775,0.21228565,0.21862185,0.22651057,0.23260461,0.23543757,0.23476774,0.2322558,0.2296151,0.22841609,0.22886038,0.22988568,0.22835356,0.2194801,0.19963557,0.16997635,0.13863115,0.116746895,0.11275258,0.12751402,0.15518923,0.18790747,0.22025584,0.25047085,0.27744186,0.2989075,0.3126483,0.31953287,0.3233918,0.32754984,0.33186233,0.3335599,0.3304349,0.3228096,0.31271064,0.30192074,0.29118142,0.28005442,0.26776448,0.25295088,0.2353258,0.21556373,0.19668426,0.18246114,0.1781059,0.18692595,0.20850863,0.23539849,0.25741938,0.26676098,0.2633027,0.2523034,0.24097629,0.23412724,0.23372836,0.23768823,0.24234025,0.24398427,0.24244905,0.23987442,0.23904853,0.24053304,0.2426775,0.24316175,0.24091578,0.23635447,0.22985262,0.21975534,0.20368455,0.18074702,0.15423886,0.1291691,0.109812684,0.0972353,0.09110916,0.090591975,0.09461123,0.100648426,0.105444856,0.107279725,0.10833398,0.11486965,0.1335531,0.1661116,0.2062083,0.2424228,0.2660313,0.27554044,0.27620736,0.27348435,0.27047178,0.26706937,0.2631195,0.25871512,0.2542713,0.2494028,0.24271213,0.23204918,0.21513212,0.19045722,0.15857443,0.12416295,0.09717429,0.091343045,0.11610832,0.16940261,0.23461203,0.29096663,0.3237898,0.33204675,0.32352367,0.31029642,0.30168593,0.30211827,0.30723774,0.30904123,0.30069855,0.28436098,0.26761055,0.2596281,0.26384652,0.27800378,0.29499283,0.3075812,0.31130394,0.30661473,0.2975353,0.28966424,0.28717792,0.29138494,0.29928216,0.3047602,0.3013965,0.28705323,0.2654417,0.2434995,0.22547169,0.20979498,0.19176967,0.17053187,0.15366848,0.15306155,0.17525892,0.21382038,0.2537806,0.28161186,0.2934796,0.29297975,0.28638396,0.2785783,0.27352694,0.27315393,0.27710307,0.28250155,0.2866499,0.28817913,0.28654557,0.28075567,0.26840228,0.24801402,0.22005506,0.19087277,0.17111026,0.17216639,0.19676657,0.23497735,0.2696679,0.28685346,0.28479484,0.2713919,0.2606131,0.26309505,0.28259262,0.31100008,0.33547056,0.34562364,0.34197,0.3316257,0.32283473,0.31858984,0.31799722,0.31761834,0.31493232,0.30942598,0.3039713,0.3020945,0.30462137,0.30732992,0.30333507,0.28697005,0.25676957,0.21705677,0.17817082,0.1542672,0.15521109,0.1791141,0.20990454,0.22770989,0.2222548,0.20225507,0.18870628,0.19886495,0.23206659,0.2714655,0.29800287,0.30388102,0.29441342,0.28069463,0.27143586,0.26931366,0.2716324,0.27336314,0.27091584,0.2646909,0.25851208,0.25623676,0.25774735,0.25746098,0.24708962,0.22252448,0.18962134,0.16425647,0.16177309,0.18671763,0.22804081,0.26969776,0.30009297,0.31878722,0.3308004,0.34315988,0.36047372,0.38438728,0.4112027,0.43331373,0.44293526,0.43743846,0.420326,0.3993841,0.3815994,0.3712031,0.36743256,0.3667153,0.3632027,0.35365188,0.33968356,0.32916737,0.33018824,0.3443983,0.36448577,0.37962532,0.38294956,0.37475717,0.35995254,0.34440887,0.33200762,0.3240253,0.31875396,0.31366396,0.30796632,0.30380037,0.30421492,0.3094075,0.31606218,0.3195332,0.31833765,0.3156437,0.31737494,0.32693127,0.3416336,0.35398915,0.35761985,0.3521702,0.34314623,0.3369305,0.33632854,0.33897555,0.34034356,0.336556,0.327592,0.31578755,0.30522075,0.2978902,0.29364884,0.28880435,0.2796991,0.26443818,0.24501722,0.225031,0.2080878,0.19598866,0.1888047,0.18462807,0.18121357,0.17730981,0.17383997,0.17222482,0.173011,0.17511041,0.17697442,0.1774741,0.1763791,0.173891,0.17042655,0.16562898,0.15874569,0.14857979,0.13552813,0.12125758,0.10861466,0.09919667,0.09311383,0.08891804,0.08509181,0.08055862,0.07495781,0.068887405,0.06444805,0.06567038,0.07621268,0.096435614,0.12118427,0.1428715,0.15555932,0.15792806,0.15166117,0.13932882,0.123440295,0.106696524,0.091822505,0.08033774,0.07257128,0.068335384,0.06828996,0.07329139,0.08318543,0.09560443,0.10710322,0.11543778,0.120767385,0.124622695,0.12717293,0.12732677,0.12488217,0.12322355,0.1274767,0.1400219,0.15776648,0.17389692,0.18258812,0.18094492,0.16866814,0.14655246,0.117132194,0.08534653,0.05780959,0.04050794,0.03652451,0.04515304,0.062276352,0.082128584,0.09961989,0.111959465,0.118411094,0.1192461,0.11498982,0.106635176,0.09526775,0.081688024,0.06639115,0.051055193,0.039619863,0.037973147,0.050528567,0.07778261,0.117482565,0.17019147,0.23998652,0.32409975,0.40289626,0.44461632,0.43043527,0.37048993,0.29705885,0.23827691,0.2030813,0.18532713,0.17621356,0.17109977,0.16836669,0.16836886,0.17233478,0.17979817,0.18574536,0.18091494,0.1592523,0.123863645,0.09003895,0.07854923,0.10633745,0.17150426,0.24951303,0.3023827,0.30599973,0.26741776,0.22167464,0.20785461,0.24086492,0.30245697,0.34926715,0.34765005,0.2946228,0.22100987,0.16152921,0.1331992,0.12990148,0.13663523,0.1412253,0.13948645,0.13379829,0.13008772,0.13294731,0.14171024,0.15021656,0.1508671,0.14083423,0.12337864,0.10632347,0.09711259,0.10146605,0.120271765,0.14932024,0.17895107,0.2012307,0.21650791,0.23680031,0.27618426,0.33463514,0.38994423,0.40945604,0.37733078,0.3078815,0.23489247,0.18512899,0.16478567,0.16452153,0.17215787,0.18025757,0.18641101,0.19219042,0.20111479,0.21469711,0.22874457,0.23342706,0.22071497,0.19182062,0.1606792,0.14782177,0.1695479,0.22395535,0.28830776,0.3298381,0.3302391,0.29889777,0.26751134,0.26815474,0.30976155,0.3717917,0.41339388,0.40568724,0.35024178,0.27933672,0.22623521,0.20522876,0.20802777,0.21867406,0.22371884,0.21710409,0.19926406,0.17769282,0.162941,0.16235985,0.1742364,0.18900566,0.19769265,0.1979834,0.1950147,0.19488482,0.20017977,0.20847075,0.2150135,0.21615428,0.2122163,0.2102543,0.22361715,0.2651537,0.33176813,0.39719978,0.4237567,0.3930081,0.3207138,0.24453019,0.19303684,0.1710696,0.16713522,0.16910726,0.17169619,0.1745711,0.17944789,0.18821812,0.1995015,0.20732303,0.20184153,0.17827277,0.141216,0.10750896,0.0986723,0.13198476,0.20455839,0.2888248,0.34385085,0.34525087,0.30411544,0.25982553,0.25201502,0.29092014,0.35311845,0.3950684,0.38865462,0.3371644,0.27191335,0.22249188,0.19928259,0.19421528,0.19475664,0.19374911,0.19009966,0.18667413,0.18704982,0.19239779,0.19882537,0.19830413,0.18404,0.1561686,0.122185074,0.09247059,0.07466378,0.07240797,0.08505706,0.10844302,0.13460957,0.15702105,0.17671598,0.20588152,0.25761738,0.32906616,0.3931799,0.41482553,0.37978128,0.30875233,0.24213149,0.21203448,0.22560076,0.26940176,0.3211655,0.36324772,0.38807258,0.39979517,0.405741,0.40948132,0.40742806,0.39494076,0.37183106,0.34492648,0.3253684,0.32489976,0.34930506,0.3917571,0.4302882,0.43969944,0.40842178,0.3517169,0.30149904,0.28988636,0.32372245,0.3837113,0.43073788,0.4393259,0.40900293,0.36484742,0.3294207,0.31112042,0.30387118,0.29976285,0.2939298,0.28407082,0.26990834,0.25448772,0.24367501,0.24190597,0.24724786,0.25156698,0.24493605,0.22256134,0.18892016,0.15778412,0.14603144,0.16315372,0.2044446,0.2521434,0.28873086,0.30856216,0.32283166,0.3468717,0.38341835,0.4151921,0.4178857,0.38326004,0.3259786,0.27215412,0.23785102,0.22383009,0.22090948,0.2206164,0.21837045,0.21434452,0.21166833,0.21510814,0.22647572,0.24357326,0.2597529,0.2698362,0.2724315,0.273164,0.28113934,0.303472,0.33658233,0.36485684,0.37020513,0.3465724,0.30751902,0.2778751,0.28065476,0.318393,0.37249807,0.40814713,0.40459558,0.36507782,0.3176062,0.28662205,0.28095755,0.2912077,0.30262193,0.30357936,0.29075184,0.26959363,0.25061062,0.24230592,0.24611259,0.2560393,0.26351544,0.26140848,0.24618453,0.21907908,0.18774456,0.16608377,0.16557755,0.18444343,0.20391096,0.20425443,0.18552649,0.17498057,0.2046122,0.27966556,0.36726472,0.42050076,0.4169526,0.3716587,0.3196499,0.28408036,0.26694295,0.25714466,0.24622963,0.23258843,0.21933217,0.21054925,0.20937294,0.21501309,0.22086228,0.21583796,0.19290136,0.15615796,0.12353452,0.11919558,0.15952234,0.23798828,0.32272342,0.37449536,0.3743025,0.33754274,0.3012954,0.30041695,0.3427092,0.40895662,0.46072304,0.47358906,0.44706622,0.40673792,0.37551168,0.36275014,0.36237463,0.36460432,0.3630699,0.3555543,0.34479687,0.33447763,0.3263351,0.3174993,0.3021598,0.27700633,0.24258274,0.20451808,0.1703444,0.15039605,0.15356563,0.18247022,0.22700572,0.26899052,0.29439822,0.30623642,0.32284173,0.36066303,0.4146751,0.45631143,0.4548781,0.40372515,0.32515675,0.25182068,0.2027513,0.17819037,0.16805528,0.1640626,0.16231225,0.16253515,0.16564701,0.17373818,0.18633367,0.19860403,0.20000564,0.18295883,0.14981413,0.11787539,0.11076423,0.14299221,0.20575352,0.26746085,0.29496458,0.27642933,0.2315584,0.19589001,0.20029525,0.24819414,0.31507233,0.357892,0.34936222,0.2927491,0.22113077,0.16594294,0.1403023,0.13647865,0.14099477,0.14401941,0.14313704,0.14078484,0.1411271,0.14486256,0.14826028,0.14453612,0.130709,0.10955221,0.08890668,0.076168835,0.0767884,0.09283129,0.122479685,0.15811718,0.18909384,0.20940547,0.22459514,0.25069526,0.29862309,0.35967836,0.40361118,0.40220606,0.3524591,0.28050724,0.21902877,0.18472248,0.17435431,0.17635,0.18220526,0.1886484,0.19566871,0.20413654,0.2153837,0.22828984,0.23933853,0.24212931,0.23388977,0.21742512,0.20476992,0.21097155,0.24524832,0.29908028,0.34694663,0.36359334,0.34374157,0.3081877,0.28704476,0.30127382,0.34756708,0.4019387,0.42937303,0.40794203,0.33976987,0.2508905,0.17041838,0.11757425,0.095828235,0.09939671,0.117452286,0.14021991,0.16071327,0.17640679,0.1861542,0.18977843,0.18775243,0.1830358,0.17995052,0.18191677,0.18864514,0.1963078,0.20054941,0.19989234,0.19623333,0.19230217,0.19166179,0.20124416,0.2333556,0.2945999,0.37258777,0.43293333,0.44257948,0.3957242,0.31871656,0.24747127,0.20202063,0.18167134,0.1754285,0.1744498,0.17470287,0.17606126,0.18015511,0.1893643,0.20290798,0.21552975,0.21845299,0.20752196,0.18792982,0.1748602,0.18539308,0.22586334,0.28359082,0.32872593,0.33527026,0.2992404,0.24557362,0.2097345,0.21756367,0.26685026,0.32950997,0.36506617,0.34993407,0.2911312,0.22063178,0.16820186,0.14458376,0.14171554,0.14560533,0.14673598,0.14312445,0.13878192,0.1394439,0.146953,0.15701006,0.1608129,0.15297298,0.13513814,0.11583028,0.103681326,0.10428963,0.11854142,0.14356743,0.17243002,0.19647789,0.21193713,0.22560747,0.2543094,0.30805218,0.3754578,0.42191613,0.41724503,0.36016798,0.28130367,0.21620484,0.18142933,0.17154567,0.17304151,0.17649484,0.17886607,0.1811508,0.1860391,0.19615282,0.21031201,0.22224446,0.22243007,0.20606159,0.1790251,0.15883522,0.16736992,0.21446995,0.28709555,0.34992364,0.37132415,0.34579703,0.30095056,0.2748399,0.29092345,0.34230897,0.39871207,0.4251587,0.40707147,0.3574421,0.30613777,0.27512452,0.26743767,0.27114365,0.27236637,0.2628962,0.24154283,0.21359599,0.1894406,0.1805045,0.19242759,0.21966024,0.2485257,0.26590732,0.26798198,0.26012856,0.25081828,0.2440718,0.23753972,0.22565706,0.2054726,0.18235083,0.17111808,0.19206011,0.2532237,0.33739707,0.40256873,0.41336575,0.36733314,0.29669943,0.23828743,0.20790271,0.19944592,0.19962265,0.20082687,0.20101076,0.20169413,0.20479225,0.21154253,0.2185025,0.2179571,0.20127285,0.16734643,0.1264811,0.099843055,0.1110988,0.17001516,0.25989664,0.33885312,0.3688334,0.34263965,0.29119983,0.25759864,0.26819888,0.315876,0.36862707,0.3898383,0.36496568,0.30773395,0.24904287,0.21142058,0.19915326,0.20235299,0.2092511,0.21293785,0.21215604,0.20959838,0.20863132,0.20918874,0.20706217,0.19583182,0.17398793,0.14586158,0.12036964,0.103973396,0.09940419,0.10539463,0.119030684,0.13565749,0.1500473,0.16122186,0.17690074,0.21328092,0.27800497,0.35626206,0.40980956,0.40787327,0.35155585,0.2754387,0.21765779,0.19660194,0.20839769,0.23926564,0.2753938,0.3058256,0.32480347,0.33246362,0.33265147,0.3276887,0.31707433,0.30005884,0.28010908,0.2657078,0.26811683,0.29627493,0.34769464,0.403531,0.43344906,0.41698036,0.35994342,0.29443824,0.25718853,0.268252,0.31845728,0.37687683,0.40726057,0.39373934,0.34666836,0.29431918,0.25809368,0.24366204,0.2427697,0.24486397,0.2432,0.2369387,0.22940741,0.22479296,0.22367626,0.2223448,0.21435158,0.19665979,0.17105956,0.1443039,0.12310115,0.11218423,0.112379044,0.12134391,0.13420427,0.14581235,0.15605724,0.17337483,0.21400546,0.28426054,0.367534,0.42331442,0.42029116,0.3599817,0.278459,0.21313061,0.17987084,0.17165494,0.1749502,0.18055676,0.18457496,0.18704171,0.19091953,0.20060448,0.21747567,0.23780532,0.25453427,0.26283443,0.2647023,0.26915157,0.28828815,0.32483104,0.36652538,0.3878598,0.3721423,0.32461905,0.27361712,0.25004384,0.2690281,0.3199738,0.37323833,0.39797723,0.38275108,0.34017086,0.29495084,0.26421425,0.25128612,0.24980861,0.25150052,0.24938186,0.23971952,0.22415972,0.21006465,0.20508118,0.21180744,0.22372611,0.23119201,0.22613585,0.20846826,0.18409854,0.16370462,0.15693632,0.16726194,0.18766157,0.20332073,0.20509149,0.20009327,0.21342121,0.26240483,0.3386067,0.40224704,0.41933367,0.38480365,0.32853496,0.2819202,0.25829634,0.25012788,0.24605154,0.24076013,0.23500611,0.231369,0.23157316,0.23590498,0.241274,0.24088152,0.22726817,0.19864275,0.16432013,0.14367104,0.15952235,0.21950348,0.30580285,0.37658188,0.39778006,0.36637256,0.31557667,0.28689963,0.30365065,0.35707843,0.41580582,0.4463457,0.43582928,0.39641342,0.35331988,0.32388207,0.31106734,0.30823776,0.30828393,0.3078535,0.30650267,0.30592385,0.30717453,0.30951822,0.30999783,0.30477583,0.29172555,0.27025697,0.24334611,0.21687959,0.2009734,0.20321386,0.22395678,0.2524142,0.27518153,0.286744,0.29625008,0.32191446,0.37021872,0.42510402,0.44987404,0.42141524,0.34628257,0.26078835,0.19692104,0.16610031,0.15797366,0.15826233,0.15803541,0.15554069,0.15297616,0.15413505,0.16141252,0.17218514,0.17786396,0.16892302,0.1427738,0.110129856,0.092011325,0.11194988,0.17533858,0.2620726,0.32855856,0.3432193,0.30612987,0.2541705,0.2288553,0.25117418,0.30710557,0.35989845,0.3737636,0.33877134,0.2746821,0.214341,0.17908753,0.1707794,0.17782094,0.1873249,0.19110794,0.1875838,0.18006612,0.1740161,0.17145185,0.17033851,0.16494264,0.15351997,0.1385717,0.12788711,0.12815087,0.14395618,0.17413579,0.212027,0.24623121,0.26679033,0.27302936,0.27659443,0.29671034,0.34090352,0.39440027,0.42156947,0.39781237,0.32752717,0.244164,0.17902468,0.14390177,0.13075049,0.1274742,0.1268049,0.12708038,0.12972164,0.13752897,0.15204269,0.16989438,0.18143646,0.17599393,0.15014929,0.11499677,0.09325522,0.11011992,0.17136313,0.2555475,0.31833827,0.32885084,0.2894877,0.23861474,0.21825926,0.24846816,0.31459436,0.37895942,0.40553132,0.3832058,0.33039853,0.27757478,0.24487726,0.23396467,0.23487447,0.2357269,0.22889204,0.21162514,0.18746336,0.16363157,0.14898674,0.14904849,0.16376697,0.18682118,0.20898874,0.22274566,0.22543167,0.2191784,0.20816602,0.19619878,0.18535303,0.17647786,0.16990364,0.166259,0.16698444,0.17434047,0.19070727,0.21584402,0.24537642,0.27099645,0.28544602,0.28612617,0.27686667,0.2639846,0.2527658,0.24468976,0.2388243,0.23342587,0.22804113,0.22300182,0.21945155,0.21771337,0.21799348,0.2195981,0.22200446,0.22444026,0.22607493,0.2259985,0.22264148,0.21519642,0.20407254,0.19251259,0.18437141,0.18163157,0.18243955,0.18262249,0.17904808,0.17142542,0.16212909,0.15399241,0.14883204,0.14663137,0.14610933,0.14524446,0.14215116,0.13582642,0.126907,0.11714548,0.107833534,0.09897799,0.09004071,0.08162557,0.07508138,0.071436286,0.07034742,0.071568765,0.07574638,0.08389134,0.095362425,0.10706595,0.11552692,0.11889223,0.11815975,0.11528171,0.11207978,0.10932249,0.10738051,0.10626355,0.105673075,0.10502314,0.103809156,0.102096595,0.10047709,0.099689744,0.10003083,0.10126048,0.102806084,0.10412698,0.10489967,0.10506784,0.10481415,0.104363926,0.103839554,0.103319205,0.103283025,0.10508735,0.11054789,0.12093211,0.13545299,0.1514046,0.16467483,0.17165585,0.16999368,0.16040236,0.1460843,0.1323106,0.12283812,0.119163595,0.11921492,0.12091613,0.12386149,0.13204654,0.14993267,0.17878415,0.21302038,0.24415891,0.26452032,0.27043495,0.26089883,0.23830216,0.20851785,0.17996933,0.15981416,0.15119751,0.1538604,0.16566338,0.18400727,0.20523758,0.22552212,0.24086921,0.2486852,0.24724531,0.23705758,0.2197026,0.19882953,0.17786343,0.16023766,0.14718293,0.13916357,0.13590568,0.13810594,0.14624012,0.15986152,0.17680675,0.19470958,0.2118751,0.22739178,0.23965633,0.24673265,0.24751164,0.2435071,0.23792838,0.23376305,0.23142634,0.22888891,0.22375642,0.2159754,0.20805357,0.20188902,0.1955923,0.18487304,0.16881986,0.15427743,0.15161513,0.16527234,0.18704993,0.20101593,0.19512516,0.16997842,0.13739026,0.111574166,0.10094754,0.10548686,0.1194338,0.13642779,0.15251456,0.16693938,0.17995226,0.19205809,0.2036016,0.21569552,0.22933078,0.2444355,0.25852177,0.2673235,0.26711702,0.25771198,0.24333483,0.22936876,0.21877797,0.2108335,0.20448995,0.20054102,0.20191355,0.21034664,0.22500515,0.24178828,0.25588277,0.2640765,0.26660344,0.2661098,0.26493683,0.26390505,0.2626098,0.26058993,0.25736475,0.25217962,0.24519648,0.23721753,0.22912462,0.21931858,0.2054283,0.18735747,0.17106102,0.16500199,0.1740406,0.19348024,0.21357071,0.22611028,0.23080933,0.23128325,0.23055285,0.22695929,0.21711849,0.19915901,0.17546499,0.15129288,0.1320196,0.12019574,0.115084976,0.11369079,0.11305664,0.11126742,0.10806229,0.10381124,0.09905162,0.093883224,0.08833856,0.0826991,0.07748171,0.073297806,0.07042733,0.068929546,0.068485655,0.068416506,0.06758926,0.06460122,0.05918393,0.05384407,0.05510856,0.06950679,0.09754449,0.12902181,0.14856118,0.1459981,0.124738246,0.099343486,0.08637806,0.094719075,0.12141019,0.15375358,0.17716461,0.18333824,0.17471205,0.16133726,0.15498574,0.16314484,0.18550469,0.21412836,0.2370639,0.24653833,0.24204536,0.23074585,0.22015178,0.21539736,0.21442,0.21133322,0.19896244,0.17739148,0.15462923,0.14422923,0.1542508,0.18083926,0.20719302,0.21532683,0.19846596,0.166979,0.13933486,0.12916832,0.13662094,0.15135442,0.15991785,0.15467517,0.1366617,0.11556954,0.10323841,0.10783094,0.12759346,0.15274416,0.1716761,0.1807317,0.1850583,0.19297355,0.20593841,0.21778208,0.21942095,0.20951964,0.19886811,0.20834023,0.25384897,0.3309022,0.41135022,0.46163213,0.46709004,0.43908426,0.4008422,0.36766616,0.34172347,0.31881344,0.29647923,0.27532262,0.25796595,0.24830155,0.2511197,0.26603433,0.28376567,0.28638172,0.261039,0.2099214,0.15552466,0.12857747,0.15263031,0.22363603,0.3085663,0.36109474,0.3567605,0.3086948,0.25841388,0.24393523,0.27482024,0.3290619,0.3673397,0.36287904,0.31654537,0.25563148,0.20873456,0.1884193,0.18882848,0.19709207,0.20344643,0.20444582,0.2027,0.20409553,0.21313214,0.22710304,0.23576786,0.22744171,0.19991845,0.16200784,0.12882142,0.110731155,0.111246206,0.1267489,0.15062548,0.17420083,0.19223213,0.20697284,0.22983201,0.2711179,0.32684565,0.37403154,0.38558534,0.35292515,0.29372346,0.23762536,0.2040053,0.19354153,0.19565147,0.20002966,0.20252539,0.20450413,0.21032436,0.22452681,0.24687995,0.270856,0.28463882,0.2812706,0.26390627,0.24804701,0.2524357,0.2895911,0.35402426,0.42207488,0.46269095,0.45924664,0.42009166,0.37387598,0.35120538,0.36528453,0.40301344,0.4295838,0.41540587,0.35722944,0.28249234,0.22457765,0.20165081,0.20994782,0.23455627,0.25996938,0.2770938,0.28491953,0.28900087,0.29626644,0.3080856,0.31897557,0.31876662,0.30230096,0.27212963,0.2396415,0.21689273,0.21277249,0.2282091,0.25673148,0.28651938,0.30773982,0.32026446,0.3357793,0.36895207,0.42174664,0.47652242,0.50536436,0.49272645,0.4457475,0.38805267,0.3399922,0.31022182,0.2968216,0.29525447,0.30070254,0.30963388,0.31993827,0.33213556,0.3459787,0.35797918,0.35973558,0.3434583,0.307657,0.2639165,0.23445566,0.24227166,0.29112688,0.35908294,0.40892383,0.41854653,0.39468014,0.36709502,0.36389896,0.39234552,0.43637124,0.46488652,0.45680103,0.41126657,0.35125944,0.30104196,0.27444312,0.26848397,0.27374887,0.2810583,0.2862707,0.2891798,0.29122087,0.29121637,0.28381836,0.26202473,0.22384667,0.17596658,0.13093896,0.10030129,0.09031254,0.10184136,0.13121277,0.17035258,0.20861965,0.23939939,0.26544282,0.2992182,0.34994245,0.41139862,0.45823693,0.46501002,0.4267019,0.3647287,0.30877984,0.27674127,0.26935095,0.2786299,0.29676202,0.31748307,0.33650193,0.35101703,0.36109218,0.3649753,0.35880217,0.3364854,0.29823437,0.25277993,0.2189105,0.21730079,0.26133806,0.3437892,0.43424472,0.49286962,0.49673942,0.4563775,0.40666655,0.3830047,0.39684364,0.43350163,0.46078244,0.45509318,0.4133228,0.35628414,0.30826172,0.2833302,0.27870676,0.28388608,0.2892916,0.2915481,0.29216674,0.29386675,0.29609057,0.29403606,0.28145072,0.25648087,0.22444725,0.1947035,0.17550582,0.17084076,0.1818103,0.20652072,0.23946948,0.27180228,0.29694185,0.31669495,0.34301457,0.38796178,0.45060548,0.5090218,0.53405803,0.5102841,0.4504651,0.3837491,0.33491528,0.31057146,0.30392584,0.30562177,0.31000692,0.31528357,0.3212955,0.32858387,0.3351936,0.33626536,0.32529986,0.30097735,0.26981768,0.24641766,0.24724431,0.28213355,0.34333184,0.40501308,0.43739077,0.4299678,0.39922845,0.37645325,0.38542506,0.4275792,0.48281193,0.5192449,0.5152181,0.471033,0.40974745,0.3569443,0.32628515,0.31564197,0.31601486,0.3197484,0.32320392,0.32644263,0.3300465,0.332955,0.3308334,0.3188624,0.29617104,0.26840806,0.24466942,0.23166825,0.23043089,0.23834015,0.25204715,0.26885355,0.2851813,0.29914376,0.31340086,0.33749065,0.37858438,0.43113947,0.47384015,0.48449722,0.45867598,0.41254202,0.36934605,0.34144863,0.3285228,0.3237706,0.3225135,0.32298478,0.32558993,0.33078864,0.33801875,0.34330058,0.3406645,0.32484004,0.29744276,0.26770875,0.25162843,0.2651818,0.31600776,0.39240137,0.46356174,0.49521807,0.47519466,0.42288685,0.37588096,0.36408642,0.39115295,0.4358951,0.46497512,0.4575508,0.41537645,0.36138728,0.3183844,0.29640415,0.29077324,0.2918453,0.293113,0.29307377,0.29422596,0.29912695,0.30710593,0.31283048,0.309032,0.2929832,0.26882482,0.24569716,0.2309921,0.22798894,0.23580213,0.2517592,0.2716181,0.29058692,0.30669603,0.3239526,0.3523744,0.3969976,0.4484466,0.48152053,0.47459713,0.4271731,0.36202133,0.306092,0.27244702,0.25814137,0.25362623,0.25219092,0.25109324,0.25044408,0.2518002,0.25822306,0.27045783,0.2844024,0.29010785,0.280442,0.25749275,0.23681557,0.23861325,0.2750702,0.33648214,0.3927878,0.41161713,0.38341865,0.3300327,0.28995585,0.29238114,0.33688143,0.39444807,0.42373797,0.40206,0.33828458,0.26642975,0.21676917,0.1993038,0.20411408,0.21514542,0.22128837,0.21982037,0.21542548,0.21506351,0.22182052,0.23116553,0.23360263,0.22276907,0.20070809,0.17612606,0.15774678,0.15030281,0.15519993,0.17168538,0.19626154,0.22234686,0.2450596,0.26696184,0.29963574,0.35115445,0.41295388,0.45589313,0.45217064,0.39756694,0.31849054,0.24996082,0.2136273,0.20874685,0.2223959,0.23960686,0.2509044,0.25336158,0.2507809,0.2500614,0.25467515,0.2611406,0.25899178,0.24004813,0.20576797,0.17263335,0.16561997,0.20161326,0.2728295,0.34383047,0.37555423,0.3529931,0.29822025,0.2525052,0.24927835,0.29268864,0.35713005,0.4033389,0.40550593,0.3664504,0.31151876,0.26568928,0.23825742,0.22464888,0.21679205,0.20947568,0.19947027,0.18555863,0.17004852,0.15991445,0.16175902,0.17632858,0.19636117,0.21221401,0.21821356,0.21565372,0.21091443,0.21002005,0.215024,0.22042911,0.21764596,0.20267612,0.18582232,0.19043338,0.23465107,0.31280375,0.38946268,0.42724407,0.41202387,0.3640767,0.31365517,0.28025246,0.26370776,0.25580388,0.2498103,0.24416667,0.24082746,0.24377324,0.25816083,0.28616023,0.3224481,0.35262144,0.36097994,0.34303746,0.3128637,0.29817894,0.31898007,0.37037554,0.41916624,0.43014893,0.39249346,0.3310593,0.28674874,0.28982094,0.33986965,0.4072986,0.45046327,0.44343635,0.3904276,0.3204272,0.2635601,0.23430677,0.22915192,0.23567428,0.241953,0.24184991,0.23673029,0.23324229,0.23638298,0.24467684,0.24941005,0.24353647,0.22683968,0.20749526,0.19426174,0.19266243,0.20285529,0.22215714,0.24537782,0.26665962,0.284013,0.30343068,0.33813444,0.39362428,0.45654187,0.49478558,0.4836836,0.42537272,0.34929135,0.28636745,0.2496463,0.23332047,0.22607207,0.22117102,0.2171696,0.21548367,0.21800305,0.22567725,0.23500098,0.23791306,0.22511445,0.1943969,0.1549239,0.12684421,0.13319509,0.18463804,0.26695767,0.34170052,0.371768,0.34835792,0.29926386,0.26722553,0.28040302,0.33452904,0.39751592,0.4305322,0.4148365,0.36146867,0.30047536,0.25622398,0.23538853,0.2301027,0.22953892,0.22709239,0.22165175,0.21637225,0.21628992,0.2241639,0.23853862,0.25303686,0.26231122,0.26402843,0.2608857,0.25566274,0.25043866,0.24534898,0.24091585,0.237638,0.23585437,0.23761863,0.24930815,0.28304204,0.34419385,0.421659,0.48381123,0.5031648,0.4741795,0.4198295,0.36771563,0.33356425,0.316004,0.30814204,0.30474582,0.30377403,0.304212,0.30551842,0.30706322,0.3063052,0.2982303,0.2779983,0.24581097,0.2101425,0.18633716,0.19278109,0.23738122,0.30969575,0.37798476,0.41308835,0.4062674,0.37852702,0.3600289,0.37100777,0.40709677,0.44537058,0.45838478,0.43473807,0.3844985,0.33138156,0.29391173,0.27788374,0.27792314,0.28559533,0.29346836,0.2979914,0.2991264,0.2993106,0.29783762,0.29092634,0.27300087,0.24459074,0.21125458,0.18160816,0.16095106,0.15264352,0.158326,0.1782413,0.20800926,0.24004662,0.26898733,0.29788554,0.33715907,0.39197922,0.4509945,0.48744223,0.4808427,0.43467483,0.37431347,0.32591233,0.2995136,0.2911208,0.29222074,0.29755256,0.30388024,0.30990693,0.31527606,0.31976357,0.3190709,0.3052274,0.27107614,0.21866141,0.16191086,0.12349706,0.12668951,0.18067415,0.27150634,0.36105347,0.4126543,0.41304055,0.3834546,0.35860538,0.36318612,0.39582,0.43373224,0.44970787,0.43056592,0.38496205,0.33464018,0.29857492,0.2833214,0.2841126,0.29219,0.3000586,0.3047342,0.3065538,0.30790117,0.3082297,0.3045553,0.2918853,0.26990286,0.24260487,0.21793383,0.20202608,0.19893669,0.20921378,0.2304821,0.25633776,0.27877787,0.29396763,0.30714157,0.33361277,0.38434744,0.45365715,0.5117774,0.52840257,0.49339843,0.42831424,0.36443815,0.3226909,0.30391636,0.2992009,0.30016312,0.3035669,0.3090794,0.31624314,0.3219349,0.32044825,0.30570534,0.27587157,0.23566698,0.19729789,0.17720564,0.19294591,0.24872176,0.32891896,0.39676657,0.42322966,0.4039062,0.36674485,0.34670165,0.3655448,0.41714242,0.47288796,0.4993283,0.47967014,0.42455578,0.36109304,0.3130983,0.28843775,0.28184184,0.28386876,0.28728148,0.2891044,0.28967178,0.29068995,0.2901465,0.28268692,0.26193777,0.22966798,0.19451004,0.1689642,0.15961646,0.16745402,0.18788795,0.21511358,0.24189569,0.26297414,0.27836648,0.2960659,0.32851216,0.3787346,0.43287405,0.46285853,0.45143315,0.4046363,0.34922263,0.30847383,0.29011044,0.28760183,0.29170167,0.29638526,0.2999663,0.30305013,0.30716327,0.31120086,0.31023255,0.29695714,0.26771608,0.2270205,0.18873064,0.17236008,0.1970038,0.26633334,0.3594509,0.43336692,0.4538269,0.41964504,0.3655037,0.3335179,0.34415758,0.3870434,0.430053,0.44335207,0.41593805,0.36252174,0.30871248,0.27447882,0.26354846,0.26809084,0.2765979,0.28159845,0.28190055,0.281374,0.2839657,0.28722987,0.28307185,0.26273358,0.22734304,0.1867491,0.1547875,0.13925089,0.14244199,0.16223866,0.19459473,0.23190449,0.26523376,0.29065552,0.31398514,0.34863648,0.39931855,0.45179173,0.47469726,0.4470992,0.37578055,0.29339963,0.23074473,0.1988466,0.18961067,0.19015938,0.19260468,0.19478428,0.198319,0.20653845,0.22181612,0.24132793,0.25591788,0.2552971,0.2366374,0.2105091,0.19756192,0.2189507,0.2781452,0.3544229,0.40852526,0.41313088,0.37143004,0.31830943,0.29339483,0.31605288,0.37286046,0.42671168,0.44126382,0.4054854,0.33889678,0.27413076,0.23305197,0.21863401,0.2212643,0.22923273,0.23405157,0.23308899,0.2299155,0.23128688,0.23943412,0.24930744,0.2508045,0.23950092,0.21880372,0.19898993,0.18780321,0.18949188,0.20316112,0.22617233,0.25222203,0.27487263,0.29167852,0.30985692,0.34271136,0.39465368,0.45079756,0.4800878,0.46193132,0.40172163,0.3286232,0.26954576,0.23432112,0.21668454,0.20728767,0.20131548,0.19828214,0.19987659,0.20803826,0.22290313,0.23985314,0.24964404,0.24407369,0.22284968,0.19767605,0.18800104,0.21287112,0.27430925,0.35149196,0.40605298,0.41199496,0.37370443,0.32621932,0.30803978,0.33542028,0.39199403,0.43824354,0.4397298,0.38918447,0.31233552,0.24540804,0.21211125,0.21245457,0.23168938,0.2517471,0.26143542,0.25813487,0.24667333,0.2326091,0.21884994,0.20464085,0.18949397,0.17437671,0.16174085,0.15295492,0.14843725,0.14786474,0.15095635,0.15682511,0.1635546,0.16970961,0.17792468,0.1977519,0.2419858,0.3128573,0.39145324,0.44289875,0.4422182,0.39421174,0.3295562,0.28001666,0.25866577,0.25968087,0.2696301,0.27785063,0.28043672,0.28014937,0.28397405,0.29720092,0.31863698,0.3395771,0.34972182,0.34419334,0.3290658,0.31929484,0.33277586,0.37450612,0.4294876,0.46478584,0.4562552,0.406973,0.34983134,0.3234276,0.34515953,0.40070567,0.45139456,0.46294177,0.42514738,0.35889086,0.2952159,0.25550368,0.24177177,0.2439934,0.2502347,0.25223568,0.24812867,0.24157317,0.2405522,0.2500475,0.26825318,0.28516725,0.2915598,0.2843863,0.269827,0.25681573,0.25304875,0.26065397,0.2766871,0.29380754,0.30546698,0.31249526,0.32519057,0.3573295,0.40986094,0.4654956,0.495194,0.4833872,0.4373887,0.38184312,0.33568022,0.30295953,0.27703205,0.25247163,0.22964199,0.2121951,0.20357095,0.20580412,0.21724404,0.2311063,0.23498939,0.21927558,0.18399882,0.14440909,0.123710394,0.1435756,0.20641427,0.2907399,0.3568031,0.37545156,0.34683976,0.30320826,0.28422657,0.30982122,0.3665544,0.41630733,0.42569885,0.3889217,0.3302145,0.2807098,0.2566068,0.25460342,0.2619666,0.26786867,0.26729918,0.2617853,0.25764644,0.26310548,0.28215387,0.31125185,0.3398914,0.35860786,0.36411178,0.3607504,0.35468623,0.35021713,0.3484144,0.3484625,0.3486923,0.34809053,0.34940192,0.3600028,0.3874934,0.42992118,0.47227108,0.49336648,0.48280776,0.44753864,0.40662754,0.37474692,0.35542107,0.3429153,0.3311014,0.31765327,0.30418718,0.29397258,0.2899094,0.2917148,0.29472885,0.29050133,0.2728777,0.24248622,0.21086265,0.19640665,0.2177201,0.27820683,0.36046353,0.43063617,0.46322787,0.45619988,0.43295884,0.4222341,0.43866456,0.47290573,0.4981254,0.49057248,0.44614863,0.38327825,0.32721356,0.2938663,0.28448787,0.29041922,0.3014073,0.30973053,0.3133315,0.3143377,0.31638494,0.31929362,0.31893572,0.3103505,0.29330242,0.27158394,0.24990754,0.2311449,0.21824981,0.21468133,0.22187768,0.2362082,0.25164488,0.26669106,0.28847852,0.32816398,0.38667658,0.44768476,0.4827086,0.47474074,0.42913863,0.37090847,0.32214987,0.29208252,0.27642062,0.26849964,0.26379678,0.26178434,0.26336613,0.2696,0.27792624,0.2813505,0.2697553,0.2378831,0.19055854,0.14572068,0.12810585,0.15891463,0.2382992,0.338024,0.41242608,0.42991233,0.39637983,0.34975496,0.33223367,0.35917482,0.41448632,0.4605991,0.46898302,0.43474427,0.37988594,0.33102694,0.30287138,0.29285184,0.29077986,0.28916463,0.28612903,0.28445664,0.2874759,0.297364,0.31226587,0.32716778,0.33575007,0.33513582,0.32704017,0.3163451,0.30772483,0.30398983,0.3061404,0.31310758,0.32193002,0.3298252,0.338051,0.35471728,0.38871574,0.4396523,0.48993555,0.51453656,0.49826297,0.4489561,0.38973084,0.3428366,0.31676152,0.30784377,0.3069793,0.30659068,0.30319571,0.29800716,0.29475757,0.29480568,0.29454827,0.28632987,0.26576117,0.23595895,0.20985086,0.20373844,0.22932363,0.28167507,0.3396612,0.37621757,0.37899604,0.35745296,0.33695957,0.34250546,0.38309678,0.44585672,0.49869344,0.51363695,0.48363838,0.42934474,0.37790903,0.34658217,0.33512065,0.33544514,0.33910283,0.3414522,0.34109727,0.3388069,0.33585843,0.33123335,0.32163563,0.3037991,0.2790327,0.25349778,0.23488237,0.22813018,0.23394711,0.2500162,0.27184394,0.29429898,0.31430706,0.33447132,0.3628086,0.40497747,0.45402074,0.48912922,0.48926488,0.45136568,0.39348352,0.3408203,0.3075754,0.29309514,0.28902462,0.2886331,0.28907517,0.2906946,0.29426757,0.2998682,0.30376467,0.3002106,0.28410605,0.25834367,0.23327363,0.22455852,0.24472374,0.29836777,0.37363625,0.44358742,0.47695184,0.46116006,0.41211954,0.3644812,0.3488389,0.37249315,0.41922864,0.45677063,0.4612544,0.42807746,0.37714934,0.332298,0.3087122,0.30508348,0.31263712,0.32141557,0.3261871,0.32638142,0.32498243,0.32398626,0.32133093,0.31196737,0.29262364,0.26631805,0.24014902,0.22122566,0.21241032,0.21403587,0.2247539,0.24260473,0.26334903,0.2835642,0.3037901,0.33195314,0.375379,0.43089974,0.47801277,0.49179056,0.4614015,0.40083718,0.3372585,0.29207858,0.27025753,0.2647263,0.26554278,0.26567194,0.26258397,0.25776443,0.25586703,0.25910756,0.264863,0.26398093,0.25013462,0.22434942,0.20064616,0.19795485,0.23087054,0.29370418,0.35953498,0.393437,0.3794471,0.33299944,0.29165187,0.28970373,0.3349135,0.40383324,0.45386493,0.4542118,0.40462148,0.33464003,0.27693138,0.24683894,0.2394412,0.24141192,0.24268115,0.2395895,0.23477332,0.23299332,0.23685215,0.24224816,0.24022253,0.22371799,0.1943686,0.1618713,0.13766317,0.1290218,0.13796698,0.16220891,0.19565958,0.22937036,0.25686094,0.27967468,0.30921087,0.35534033,0.41437188,0.46282592,0.4744122,0.43915054,0.37416923,0.308331,0.2632457,0.24186487,0.2349084,0.23136847,0.2256528,0.21870433,0.21510394,0.2205426,0.2360199,0.25655618,0.2708689,0.2704877,0.25541458,0.23803443,0.23721945,0.26707062,0.32492378,0.38654792,0.42107782,0.4118372,0.37206945,0.33444273,0.33145794,0.3705897,0.4307613,0.4707588,0.46072653,0.4000313,0.3190219,0.25256705,0.21952502,0.21688001,0.23016833,0.24493669,0.25199124,0.2487057,0.23731887,0.22271913,0.20928778,0.1989096,0.1907955,0.1832553,0.17555624,0.16879658,0.16486396,0.16474786,0.16678774,0.16718602,0.16268134,0.1543413,0.14794362,0.15039307,0.16455443,0.18777709,0.21409641,0.23777314,0.25494623,0.2641977,0.26604635,0.26194984,0.25263014,0.2379167,0.21813852,0.19565593,0.17417152,0.15664506,0.14374964,0.13382068,0.123787545,0.11037939,0.09208118,0.07046921,0.05018122,0.036617685,0.033525478,0.041178532,0.056412738,0.07355091,0.08673545,0.091882646,0.08842933,0.07951828,0.07081612,0.06755018,0.07121729,0.079009555,0.086113065,0.08933566,0.08829933,0.08444604,0.079421215,0.074278116,0.06971755,0.06608517,0.063745596,0.06293768,0.064148836,0.06753343,0.072836004,0.078701295,0.08344961,0.085368045,0.083892226,0.07948085,0.07371407,0.06822193,0.06404699,0.061062034,0.058489922,0.055839445,0.053844716,0.05462191,0.060255226,0.071035594,0.084260106,0.09595355,0.10340673,0.10733667,0.11107708,0.11806806,0.12926917,0.14228447,0.15321672,0.15932299,0.16085695,0.16013086,0.15892625,0.15699519,0.15259944,0.1454318,0.13750787,0.13252135,0.13291547,0.1394212,0.15143402,0.16815047,0.18754213,0.20510672,0.21420945,0.208808,0.1880536,0.15768512,0.12806113,0.107306816,0.097625874,0.09525052,0.09598026,0.09881961,0.106588066,0.12187773,0.14354412,0.16593592,0.18275811,0.1910624,0.19264309,0.19130705,0.1896817,0.18766369,0.18304028,0.17341502,0.15834819,0.14101999,0.12784357,0.12515007,0.13521199,0.15380423,0.17295724,0.18532246,0.1883638,0.18418185,0.17761357,0.17326464,0.17361712,0.17786114,0.18248051,0.18287574,0.1766874,0.16551487,0.15564914,0.15333587,0.16108508,0.17452069,0.18699993,0.19357611,0.19429798,0.19118154,0.18543573,0.17583553,0.16058725,0.13950318,0.11519554,0.09248385,0.076992445,0.0728848,0.08082952,0.096749865,0.11355734,0.12468789,0.12763493,0.12436896,0.119026415,0.11471494,0.11222497,0.11060398,0.10887528,0.10673427,0.10472412,0.10351964,0.10343791,0.10390418,0.10355695,0.10116714,0.096488066,0.09077841,0.08603761,0.084321655,0.086517006,0.09197134,0.09835581,0.10315321,0.10497873,0.104471005,0.10321369,0.10242172,0.1019578,0.10079691,0.09777674,0.092534386,0.08590352,0.08011493,0.07757097,0.07933284,0.08384255,0.088218145,0.090549916,0.09206271,0.097150125,0.11133043,0.13855387,0.17905258,0.22930689,0.28332308,0.3338289,0.37361026,0.3964316,0.39965543,0.38547274,0.360858,0.33437362,0.31272957,0.2990949,0.29316306,0.29244688,0.29319736,0.292314,0.28903392,0.2847927,0.28147632,0.2792647,0.27726603,0.27448118,0.27099285,0.2673105,0.26403365,0.2612567,0.25876158,0.25636315,0.25438926,0.25339937,0.25346565,0.25392058,0.2541273,0.25433743,0.2556883,0.2591767,0.2646494,0.2705855,0.27490953,0.27615976,0.27439415,0.27111992,0.26858127,0.26816162,0.2693869,0.2699503,0.26778492,0.26275674,0.25667274,0.2510619,0.24600863,0.24072713,0.2355844,0.23165989,0.22979988,0.22902958,0.22835612,0.22738771,0.2273854,0.2291504,0.23275353,0.23689248,0.24061446,0.24384846,0.24765997,0.2529128,0.25906897,0.2639557,0.26499712,0.26142478,0.2554305,0.2508653,0.25013527,0.2522943,0.25443217,0.25438002,0.2519788,0.24798007,0.24262579,0.23558538,0.2265595,0.21642083,0.20705996,0.2009267,0.19899972,0.19999695,0.20073068,0.19868845,0.19362909,0.18755227,0.1825319,0.17932081,0.17757152,0.17735857,0.1799311,0.18643115,0.19639145,0.20714293,0.21587019,0.22124259,0.22420241,0.22629672,0.22864603,0.23126626,0.23375948,0.23546202,0.23576085,0.23444802,0.23213089,0.23033123,0.23045917,0.23335385,0.23859435,0.24508971,0.25079313,0.25397834,0.25394914,0.2522063,0.25104767,0.25182807,0.25383103,0.25507152,0.2542237,0.2511436,0.2471215,0.2434777,0.24135147,0.24079806,0.24116576,0.24129643,0.24002588,0.23699236,0.23245506,0.22769792,0.223632,0.22077893,0.21856962,0.21640666,0.2141369,0.21240075,0.21200375,0.21313922,0.21523397,0.21755774,0.21965162,0.22141509,0.22257812,0.22276835,0.22169411,0.21935411,0.21602555,0.21205433,0.20798628,0.20431535,0.20139857,0.19916074,0.1973917,0.19585268,0.19452743,0.19342129,0.1930014,0.193911,0.19689442,0.20173238,0.20770477,0.21394284,0.22016744,0.22582781,0.22981231,0.23070931,0.22818078,0.22312142,0.21729775,0.21242763,0.20977993,0.20977919,0.21138626,0.21295626,0.21295552,0.21122761,0.20784308,0.2025919,0.19506498,0.18605386,0.17793815,0.17286046,0.17119138,0.17114663,0.17126405,0.17137496,0.17286305,0.1760711,0.18000011,0.18207075,0.18048275,0.17493342,0.1670204,0.15920056,0.15326732,0.15011193,0.14926477,0.15023194,0.15212733,0.1539716,0.1538909,0.14992177,0.14115822,0.12879553,0.1154077,0.10346825,0.09425074,0.08849791,0.08643815,0.087771446,0.090606965,0.09264317,0.09211888,0.08901099,0.08413269,0.07856941,0.07299239,0.06777682,0.06276083,0.057778165,0.05332983,0.05143103,0.05438754,0.063024566,0.07505907,0.086622916,0.09491945,0.1008513,0.108549535,0.122410856,0.1428404,0.16503511,0.18188046,0.18973507,0.19047333,0.18929519,0.19039111,0.1957411,0.2063669,0.22246854,0.24214566,0.25953797,0.26706898,0.26037928,0.24225919,0.22167373,0.20608313,0.1970331,0.18944104,0.17915727,0.16660737,0.15836023,0.16149862,0.17753144,0.19861706,0.21138044,0.20771404,0.19107957,0.17353177,0.16415165,0.16286355,0.1630032,0.1583287,0.1470316,0.1309546,0.114494175,0.10338977,0.10296107,0.11491565,0.1353624,0.156857,0.17267247,0.18039401,0.18141437,0.17847143,0.1730001,0.1650946,0.15493838,0.14529568,0.14152248,0.14925389,0.1696956,0.19824637,0.22603668,0.2452826,0.25216845,0.24783005,0.23586597,0.21995462,0.20251523,0.18477643,0.16803831,0.15367092,0.14312999,0.13684152,0.13407634,0.13230337,0.1278165,0.11702032,0.09909394,0.07709337,0.056989472,0.044605646,0.043135393,0.0518065,0.0663714,0.08065202,0.08940295,0.0904156,0.08564723,0.07979363,0.077787906,0.08172324,0.08967506,0.09746975,0.10167154,0.10171706,0.09905378,0.095493875,0.09180672,0.08779314,0.08291914,0.07722979,0.07178322,0.06849297,0.06900716,0.07361909,0.08071015,0.087501526,0.09147972,0.09139931,0.08745331,0.08064367,0.07239125,0.06420354,0.05736124,0.052492708,0.04957469,0.048599362,0.050451618,0.05672772,0.06823983,0.08330602,0.09791344,0.10823696,0.11342615,0.11667807,0.123455204,0.13810492,0.16104017,0.18815118,0.2140065,0.2348272,0.25040707,0.26142552,0.26802483,0.26819262,0.2606139,0.24593097,0.22888719,0.21586244,0.2125928,0.22111909,0.23957174,0.26245156,0.28133258,0.28698432,0.27309263,0.24086653,0.19959117,0.16237769,0.13867515,0.12968399,0.1298437,0.13230574,0.13433222,0.13852455,0.15132447,0.17832036,0.21966362,0.26689252,0.30617175,0.32543573,0.3217418,0.30159953,0.27567115,0.25120485,0.22934914,0.20707603,0.1830403,0.16022347,0.14605717,0.14670372,0.16382778,0.19170988,0.22154081,0.24420595,0.25531438,0.25505957,0.24880964,0.24310005,0.2424073,0.24557407,0.24759364,0.24334592,0.23214193,0.21804345,0.20763956,0.20534109,0.21076787,0.21910541,0.22469036,0.22451688,0.21900298,0.21073824,0.20173277,0.19173653,0.17788623,0.15771249,0.13328747,0.11330736,0.1092783,0.12750728,0.16337864,0.20295598,0.23211457,0.24407126,0.24142408,0.23063432,0.21759354,0.20502366,0.19365509,0.18303682,0.17260937,0.16241027,0.15274209,0.14377993,0.1347812,0.12531173,0.11567662,0.10712849,0.10058385,0.09631244,0.09433904,0.09472025,0.09729034,0.100738935,0.10308563,0.102419585,0.09816936,0.091218114,0.08357546,0.07739049,0.07383587,0.07265875,0.072568364,0.07260015,0.072929524,0.07464613,0.07849904,0.08387067,0.08901011,0.09273979,0.096534036,0.10560269,0.12650932,0.16255549,0.20946746,0.25685075,0.29439187,0.31811315,0.33069336,0.33647788,0.3368887,0.33052444,0.3169898,0.299444,0.28326365,0.27261904,0.26850328,0.26921508,0.2721356,0.27484703,0.2761496,0.27570233,0.27374324,0.27003443,0.264635,0.2583247,0.25283703,0.24943466,0.24820082,0.24800926,0.24751514,0.24572201,0.2424073,0.23781866,0.23224477,0.22593527,0.21965016,0.21545742,0.21576583,0.2219023,0.23237069,0.24373353,0.25196376,0.25475928,0.2520184,0.24602433,0.23987705,0.23650718,0.2370363,0.24096233,0.24619599,0.25067866,0.25311986,0.25371864,0.2535021,0.25296983,0.25183696,0.24924982,0.24565019,0.24201387,0.2392981,0.2369746,0.23443389,0.2318074,0.23010068,0.22988327,0.23061098,0.23155747,0.2324227,0.23360847,0.23498924,0.23615907,0.2366439,0.237211,0.23896033,0.24289627,0.248353,0.2539989,0.25806013,0.25981784,0.25899985,0.25579152,0.25017092,0.2424479,0.23317622,0.223167,0.212855,0.20281094,0.19367494,0.18637003,0.18104278,0.17728396,0.17424665,0.17127939,0.1676526,0.16280775,0.15711135,0.15245967,0.1520394,0.15837447,0.17178135,0.1891708,0.20605838,0.21882854,0.22703797,0.23226716,0.23637085,0.24011427,0.24330328,0.24556047,0.24631594,0.24571162,0.24436487,0.24378408,0.24488907,0.2480061,0.2524098,0.2571812,0.2611264,0.26317573,0.26276746,0.26034608,0.25723588,0.25471175,0.25329396,0.25274387,0.25234768,0.25124803,0.2483616,0.24332474,0.2369324,0.23110364,0.22728221,0.22534178,0.22411521,0.22260706,0.22112548,0.22015148,0.21973322,0.21888839,0.21697994,0.21418957,0.2116446,0.21035087,0.21067214,0.2121836,0.21427602,0.21649452,0.21878,0.22101937,0.22284819,0.2235768,0.2225336,0.21945179,0.21454318,0.20872672,0.20328867,0.199531,0.19794178,0.19797637,0.1987469,0.19973336,0.20115656,0.20297682,0.20477982,0.20631951,0.208358,0.21224831,0.21822906,0.22523296,0.23152848,0.23648287,0.24017541,0.24297929,0.24447417,0.24422832,0.24191111,0.2384125,0.23494284,0.23264189,0.23095,0.22832656,0.22358507,0.21763404,0.21286021,0.2108627,0.21079408,0.21005003,0.20689689,0.20196652,0.19752663,0.19511175,0.19463955,0.19495274,0.19527127,0.19510698,0.19400734,0.19121553,0.1865053,0.18057741,0.17489211,0.17053108,0.16742994,0.16453288,0.1611995,0.15784694,0.15576456,0.15520883,0.15480842,0.15172058,0.14364427,0.13022451,0.113417566,0.09671536,0.08353565,0.07664672,0.07699544,0.083666824,0.09329238,0.10179823,0.10598144,0.10532164,0.10123989,0.09582743,0.09039437,0.085244335,0.080015086,0.074111484,0.06764609,0.06181636,0.059086606,0.061325062,0.06852388,0.078026414,0.08660907,0.09224381,0.09560493,0.09913009,0.10541303,0.11465559,0.123809,0.12830372,0.12562165,0.11754909,0.1084371,0.10261134,0.10201955,0.107028246,0.11590894,0.1256607,0.13183211,0.13101576,0.12242997,0.10891998,0.0951229,0.084480554,0.077531666,0.07242244,0.067552544,0.063300334,0.062379282,0.06735694,0.07768512,0.08805109,0.09169897,0.0855211,0.07312037,0.06165108,0.056457743,0.05768402,0.061542567,0.063534044,0.06123838,0.05500673,0.047550257,0.042317297,0.041990522,0.04696166,0.055204958,0.0634085,0.06898569,0.07156226,0.07263946,0.07388337,0.07520004,0.07494325,0.07183213,0.067858405,0.06800419,0.078107946,0.09967538,0.12877585,0.15672666,0.17640823,0.18512456,0.18571573,0.1820715,0.17675348,0.17041399,0.16383688,0.15855281,0.15577075,0.15534629,0.1558563,0.15548046,0.15209356,0.14314191,0.12667401,0.10328104,0.077432975,0.05590029,0.044877116,0.046584994,0.058676153,0.074951015,0.08883086,0.09572335,0.09504691,0.08974143,0.08483741,0.08482173,0.090886496,0.10059162,0.10976992,0.11571118,0.11798934,0.117240034,0.11382187,0.1076202,0.09913459,0.089488246,0.08055732,0.074164234,0.07252289,0.07698233,0.08746874,0.10096254,0.11321062,0.12031596,0.121035814,0.11619702,0.10788074,0.09816428,0.088809825,0.08102267,0.07517811,0.07138664,0.07012251,0.07345506,0.08337181,0.10026861,0.12053148,0.13914385,0.15189128,0.1584472,0.1609125,0.16234031,0.16455789,0.16773461,0.17094027,0.1731352,0.1744258,0.1756861,0.17767978,0.17941199,0.17841788,0.17245895,0.16199072,0.15065897,0.14361161,0.14515756,0.1569156,0.17710602,0.20011635,0.21763782,0.22145598,0.2074486,0.17884283,0.14531438,0.11833749,0.10428577,0.10185201,0.10482045,0.108307116,0.11266116,0.1221778,0.14021355,0.16492112,0.18919434,0.20544927,0.21017586,0.20596862,0.1984701,0.19295971,0.19118331,0.19117336,0.18835671,0.17864616,0.1612335,0.14061728,0.12446106,0.119235106,0.1254161,0.13796817,0.1506701,0.16054852,0.16840291,0.17595667,0.18362594,0.18990354,0.1927563,0.19093071,0.18482397,0.1760609,0.16707987,0.16043623,0.15850623,0.16185616,0.16873805,0.17551899,0.17965926,0.1810521,0.18180306,0.18308906,0.1837386,0.18016213,0.16883844,0.14873113,0.12306405,0.09955118,0.086325325,0.08743169,0.09896895,0.11304363,0.12253987,0.12571524,0.12417089,0.12091124,0.11770653,0.11550806,0.1137039,0.11143496,0.10762661,0.10260296,0.09696728,0.09184516,0.087525755,0.084234744,0.081501506,0.07906719,0.0768018,0.075669736,0.076797605,0.08072356,0.08586062,0.08961901,0.089715876,0.08619424,0.08075694,0.07557068,0.07152211,0.06816698,0.06455205,0.06018618,0.055547144,0.051954713,0.05171511,0.05710131,0.06899862,0.085208826,0.10154296,0.11406238,0.12130794,0.123895675,0.123224564,0.12053779,0.11702659,0.11381177,0.11178896,0.11131212,0.112496346,0.11458534,0.11561811,0.11207333,0.10117332,0.08287331,0.06135721,0.042777494,0.03280315,0.033427086,0.042786043,0.05561002,0.06641524,0.07175085,0.072031416,0.07084789,0.0726953,0.08037754,0.09258283,0.10522506,0.11384061,0.11728198,0.117446624,0.11746634,0.11880237,0.120672055,0.12121892,0.11928958,0.11529174,0.1107887,0.107766785,0.10782836,0.111429505,0.117185,0.12239551,0.124634765,0.123119086,0.11854341,0.111193836,0.10049149,0.08532881,0.0666505,0.04714274,0.031036997,0.021726765,0.021992251,0.032591686,0.05193871,0.07489106,0.09517444,0.108019896,0.1127942,0.111638844,0.10761679,0.10258029,0.097451515,0.0924641,0.088178106,0.08554795,0.08606481,0.09017474,0.09598898,0.09882144,0.09412583,0.08073783,0.06280004,0.047364544,0.040893808,0.045565557,0.058855627,0.07444023,0.08569314,0.08813709,0.0820705,0.07224082,0.06598469,0.06863529,0.08005899,0.09482411,0.10640568,0.11179396,0.11246494,0.11170597,0.111448675,0.11107894,0.109191544,0.10519698,0.10035437,0.09664404,0.09620836,0.10004213,0.10776448,0.11681036,0.12391224,0.12621126,0.12287442,0.114133544,0.10081902,0.083727755,0.06453018,0.045697417,0.030008957,0.019593742,0.015831605,0.019527772,0.030211696,0.045406457,0.06052352,0.07135727,0.07595355,0.07556629,0.072558284,0.068975754,0.06549371,0.062184528,0.0589049,0.056125954,0.055133525,0.058140498,0.06598375,0.07640243,0.08319184,0.08079908,0.068053104,0.050291985,0.03503194,0.02777174,0.029069027,0.03574075,0.04319909,0.047705207,0.04776683,0.044438716,0.041126683,0.041680038,0.048197,0.059004772,0.070037134,0.07749331,0.08058305,0.080940016,0.08078268,0.08104003,0.081294924,0.08060086,0.07835883,0.074727766,0.07054094,0.06705489,0.06532258,0.06563281,0.06711795,0.068206035,0.0675418,0.06467923,0.060278688,0.054970037,0.04905839,0.041950334,0.033811867,0.02579718,0.020997211,0.02311235,0.03520098,0.057068914,0.08424931,0.10961381,0.12742724,0.136264,0.13861702,0.13788803,0.13640358,0.13498044,0.13393533,0.13330583,0.13315368,0.13338912,0.13380198,0.13304456,0.12855972,0.11732157,0.098682486,0.07552221,0.053791035,0.039505426,0.036290374,0.043849755,0.05818249,0.07340747,0.084197395,0.087970585,0.08554361,0.08099788,0.079554915,0.08497012,0.096458316,0.10996019,0.12070939,0.12694342,0.12909265,0.12858166,0.1259535,0.12155626,0.11567822,0.10890275,0.10171028,0.0949544,0.089973,0.08819592,0.08997139,0.09386953,0.097465366,0.09848297,0.09597218,0.090058,0.08182784,0.072605796,0.063807726,0.056308035,0.050254147,0.04486838,0.03898939,0.031815812,0.02360637,0.015522961,0.008908828,0.0044523575,0.002017545,0.0009373892,0.000544131,0.00040519118,0.0003514211,0.00032949858,0.00031519166,0.00028678137,0.00023917107,0.00018917637,0.00015260394,0.00013824535]