[0.15614507,0.14757259,0.12775266,0.10151716,0.07542405,0.05461384,0.04071535,0.035824884,0.04635219,0.07949584,0.13330647,0.19064395,0.22873332,0.23580295,0.21958227,0.19946752,0.18858987,0.18814611,0.1884473,0.18258618,0.16796637,0.14923005,0.13058157,0.11500997,0.10294493,0.094627835,0.09036783,0.08806371,0.08415175,0.07636902,0.06894874,0.07144324,0.091279626,0.12623598,0.16242492,0.18414743,0.18314083,0.16415326,0.13861065,0.11821819,0.10952709,0.115040004,0.13096493,0.15095729,0.166456,0.17820103,0.18967813,0.20691556,0.22277643,0.22910655,0.21758592,0.19421251,0.16782312,0.15068965,0.14793122,0.16030435,0.17781891,0.18671958,0.17627865,0.15205446,0.13019457,0.12650698,0.14208128,0.168285,0.19345243,0.2102886,0.21351779,0.20181604,0.17926581,0.15460344,0.1354715,0.123548485,0.11648943,0.111537755,0.10758727,0.103354834,0.09593222,0.08355797,0.06762346,0.054432217,0.05012849,0.059330147,0.08182759,0.11493657,0.15100326,0.17862462,0.1866831,0.17276789,0.14971106,0.13558511,0.14087759,0.15700865,0.16793245,0.16351376,0.14721058,0.12904124,0.11646848,0.11331787,0.119125366,0.13016088,0.13742466,0.13274057,0.11566792,0.09518684,0.08242625,0.081746995,0.08941925,0.098682016,0.103360265,0.10152427,0.094320774,0.08881882,0.0910328,0.10348877,0.11986055,0.13241889,0.13620554,0.1337564,0.12953697,0.12641491,0.122724116,0.1162099,0.105611175,0.09288538,0.08167643,0.077792406,0.08469915,0.10095028,0.11817988,0.12823796,0.12764819,0.119017094,0.10566527,0.09043157,0.07824287,0.07632035,0.09024923,0.11601848,0.14283042,0.15864378,0.16013478,0.15021878,0.1348208,0.116472684,0.096165866,0.07453938,0.055178236,0.044396114,0.051003456,0.0788474,0.12228748,0.16392672,0.18840331,0.19030909,0.17841722,0.16181822,0.14548363,0.12889968,0.1167174,0.11521875,0.12885566,0.150426,0.16999145,0.17739896,0.17283858,0.15887229,0.1447408,0.13485946,0.13226455,0.13061862,0.12571153,0.115550496,0.10572016,0.101073034,0.10351348,0.10947887,0.11327646,0.1110801,0.103123516,0.0933582,0.08532742,0.0803858,0.07800732,0.07785684,0.08004192,0.08362486,0.087951995,0.09365738,0.104329705,0.119033694,0.1320548,0.13395423,0.12656035,0.12010839,0.12668566,0.14335324,0.15841681,0.16124086,0.15361322,0.1424579,0.13305724,0.124904566,0.1175107,0.11213746,0.11145421,0.11484945,0.11895747,0.11921946,0.11525137,0.10965422,0.10634136,0.105233036,0.10420502,0.10130829,0.09829957,0.09777492,0.10165849,0.10817537,0.11513292,0.11888408,0.119146876,0.11790347,0.121804416,0.13561948,0.15849929,0.18282117,0.19968922,0.20481855,0.19819097,0.18350552,0.16617972,0.15408319,0.15170018,0.15803817,0.16557385,0.16921234,0.16707228,0.1620955,0.1553229,0.14745562,0.13664559,0.12113676,0.100465454,0.079130046,0.06546822,0.06584988,0.07912096,0.09806386,0.11453269,0.12472385,0.12774144,0.12473302,0.11610297,0.103063054,0.087876536,0.07556207,0.0713845,0.07781576,0.09192901,0.108673155,0.124367096,0.13857031,0.150557,0.15736623,0.1544779,0.13970079,0.11591182,0.09019176,0.07060223,0.060895335,0.05863148,0.05713479,0.052308355,0.04710746,0.048866678,0.061991822,0.081716865,0.09872285,0.1061228,0.10689068,0.108193725,0.11542686,0.1256239,0.1322252,0.12995993,0.118964165,0.103898585,0.09111003,0.08548653,0.08638802,0.08829681,0.086696945,0.08459651,0.09114946,0.1106886,0.13657168,0.15543067,0.16006343,0.15331501,0.14244188,0.1312819,0.11983683,0.10880107,0.100402944,0.096523136,0.09573567,0.094523154,0.089959286,0.08287126,0.07845376,0.08170705,0.09290442,0.106351055,0.11680207,0.12385712,0.12970269,0.13398646,0.13071118,0.11640298,0.09336343,0.0734583,0.06716012,0.07908726,0.1019068,0.12453738,0.13751851,0.13928431,0.13227005,0.120685756,0.107216835,0.0948666,0.0848012,0.076366685,0.06670461,0.05568339,0.047874343,0.04979526,0.063630305,0.083587654,0.10095016,0.109738745,0.110761024,0.10717493,0.10078165,0.09106911,0.07974806,0.07491305,0.08756002,0.122727595,0.17023568,0.20784199,0.21543364,0.19126792,0.15569897,0.13670273,0.14830941,0.18104404,0.21219595,0.22930872,0.23539837,0.24108465,0.24580342,0.24423017,0.23413289,0.22311507,0.21571821,0.20832981,0.19435479,0.1751466,0.15918344,0.1529917,0.1527958,0.15010071,0.13838363,0.1208784,0.10471288,0.096392244,0.09597484,0.09884592,0.099568404,0.09405925,0.0825788,0.06746005,0.053748246,0.044484362,0.04124539,0.04316494,0.049848914,0.060165524,0.07258148,0.084430106,0.09419945,0.09966845,0.09903555,0.09037069,0.07772213,0.06969431,0.07890853,0.1099314,0.15741386,0.20195203,0.22794797,0.22821946,0.21453427,0.19775629,0.18700714,0.17973824,0.17853612,0.18431054,0.19949572,0.21700807,0.23040815,0.23497826,0.23472671,0.23383613,0.2350775,0.23284893,0.22190458,0.2016591,0.18190141,0.17264354,0.17515375,0.18234192,0.18712199,0.19129746,0.20003031,0.21466841,0.22791015,0.22894786,0.21190202,0.17988199,0.14306903,0.11367542,0.10074813,0.10888994,0.13279222,0.15845299,0.16676994,0.14810418,0.10806766,0.06393651,0.030866116,0.01435385,0.013070899,0.02488774,0.050804388,0.08894178,0.13382646,0.17294608,0.1980331,0.20529346,0.20329104,0.20019044,0.20262857,0.2054285,0.20152839,0.18526025,0.16068266,0.13708797,0.12165243,0.11483294,0.11002054,0.1035991,0.09552091,0.089677416,0.08676058,0.085708864,0.08596167,0.086564936,0.08634781,0.08128285,0.07226644,0.062966324,0.061160635,0.07070432,0.09116277,0.11598623,0.1355289,0.14292695,0.13767211,0.12659326,0.1157273,0.10660871,0.09541548,0.07979919,0.06292573,0.05412743,0.06256709,0.09047139,0.12895186,0.16409439,0.18480895,0.1906647,0.18761241,0.18371446,0.18238907,0.18367268,0.18454945,0.18148269,0.17410474,0.16451393,0.15707524,0.15069725,0.14334953,0.13373198,0.1273315,0.12719564,0.13059144,0.12916273,0.12181235,0.116096914,0.12133274,0.13695689,0.1545237,0.16765557,0.17544426,0.17957474,0.17711961,0.16725683,0.15275167,0.14243835,0.14027226,0.14462201,0.14850412,0.1468092,0.1377088,0.12148387,0.101092674,0.08222049,0.07534844,0.08776908,0.11789363,0.15145983,0.17255099,0.17346935,0.15910302,0.13918786,0.12061674,0.10527221,0.094070695,0.09194076,0.1073637,0.14615293,0.2027085,0.261597,0.30490008,0.32462373,0.32019147,0.2988905,0.26771322,0.23586003,0.20602767,0.17798544,0.14976032,0.12586793,0.112610675,0.11320961,0.124175996,0.13965999,0.15522479,0.1685394,0.1794159,0.1877188,0.19387318,0.19739993,0.19986212,0.20320876,0.20748205,0.20815052,0.20020862,0.1830313,0.16201697,0.14327915,0.13145696,0.12624355,0.1261962,0.12803946,0.13222146,0.13908103,0.14789762,0.15335478,0.15069415,0.14108695,0.1311701,0.13041751,0.1407917,0.15889412,0.17466056,0.18541545,0.19362353,0.20689811,0.22383612,0.23783053,0.24238949,0.24241602,0.2473724,0.2617412,0.27650118,0.27727315,0.256419,0.22084707,0.18712385,0.16794915,0.16526808,0.1690352,0.16946363,0.16138458,0.14876921,0.1362827,0.12627776,0.11686156,0.10694476,0.09913766,0.0974979,0.10369196,0.11552032,0.12966573,0.14453955,0.1594171,0.17219228,0.17914093,0.17784356,0.17218642,0.16969985,0.17629033,0.18855204,0.19793357,0.197199,0.18681408,0.17056078,0.15229772,0.13338304,0.117958464,0.11070644,0.11498311,0.12475268,0.12903659,0.11754104,0.09184101,0.06352274,0.049238432,0.05812335,0.089229286,0.12950268,0.16509455,0.18416773,0.18729605,0.17882074,0.16944456,0.16096462,0.15259922,0.13585515,0.111675836,0.08718908,0.075629465,0.08002453,0.093452394,0.10420323,0.107754946,0.10553134,0.10119787,0.09434941,0.085664004,0.07776458,0.07736134,0.08759046,0.10609425,0.12381021,0.13336834,0.13396716,0.13447505,0.1445147,0.16629957,0.19128133,0.20829095,0.21347094,0.2097948,0.201744,0.19041742,0.1771007,0.16761667,0.16689217,0.17690031,0.18900973,0.19573118,0.18993701,0.17498358,0.15497148,0.13763449,0.12707639,0.127325,0.13653117,0.14822084,0.15245171,0.14357401,0.12477436,0.10604152,0.09717367,0.1003561,0.11096569,0.122520186,0.13288563,0.14308785,0.15658782,0.17507087,0.20107104,0.23050922,0.2554093,0.26302937,0.24993187,0.22294968,0.19644572,0.18140139,0.18009542,0.18715583,0.19085097,0.17962043,0.14936091,0.10944689,0.078903444,0.074066274,0.09800013,0.13999587,0.18168913,0.20807242,0.20964193,0.18789624,0.15242958,0.119974196,0.1019153,0.09776553,0.09675133,0.09136272,0.084913395,0.086726345,0.09857777,0.11172154,0.115069054,0.10978039,0.107998244,0.122138865,0.1509336,0.18292183,0.20600732,0.21657991,0.21702188,0.21190314,0.20455962,0.19551791,0.18301801,0.16647805,0.15178692,0.14830464,0.16004674,0.17925143,0.19210054,0.19228946,0.18708222,0.19165565,0.21333486,0.24783437,0.28091022,0.30228463,0.30430326,0.2879742,0.2570147,0.22316319,0.19644147,0.18303303,0.1811626,0.18677203,0.19560231,0.2031615,0.20329846,0.1923141,0.17237268,0.15280855,0.14172275,0.1415044,0.14855039,0.15839006,0.16750823,0.16911739,0.15744816,0.13097739,0.10147417,0.08390147,0.09120303,0.12106206,0.162358,0.19617523,0.21128805,0.20329088,0.17909403,0.1469874,0.11914072,0.10825974,0.12392888,0.16296521,0.20502286,0.22699194,0.21615861,0.18072052,0.13743964,0.10497779,0.09451368,0.11184939,0.15034449,0.1941461,0.22147584,0.22169654,0.19746715,0.16357975,0.13221473,0.10916438,0.09296355,0.07977662,0.06682347,0.053541105,0.044120964,0.044587735,0.060382616,0.09090227,0.13028349,0.168718,0.19640075,0.20591561,0.19608913,0.17447819,0.15342617,0.14316279,0.1429618,0.1454129,0.14107853,0.12961534,0.117145486,0.11498508,0.12812857,0.1536341,0.17974015,0.19784175,0.20576565,0.20965934,0.21295911,0.2163799,0.21779175,0.21899979,0.22185008,0.22566871,0.22561085,0.21812825,0.20196413,0.17897105,0.15079238,0.12293211,0.101686925,0.09269398,0.093788035,0.09778782,0.09693802,0.08983461,0.081419,0.078051336,0.082516134,0.0932705,0.10875509,0.12845732,0.15053646,0.16990311,0.1817091,0.18676655,0.18914254,0.19037883,0.1854518,0.16981234,0.14629643,0.12631992,0.121659495,0.13520719,0.15899812,0.17870909,0.18359812,0.17135884,0.14794846,0.12311692,0.10523888,0.100609384,0.10911963,0.12663542,0.14270574,0.14896886,0.14035812,0.12172691,0.10405577,0.10095614,0.12161541,0.16484351,0.22009201,0.2683741,0.293439,0.286966,0.2539645,0.20636897,0.15818404,0.12200808,0.10865718,0.121108115,0.15133475,0.18039125,0.19505829,0.19252498,0.18410872,0.17755009,0.17578168,0.17381209,0.16976964,0.16447349,0.15896517,0.152368,0.14232534,0.13328874,0.13320355,0.1497534,0.17981203,0.21113475,0.2300358,0.22949024,0.21299975,0.18992944,0.17207408,0.16679335,0.1735812,0.18368556,0.18580501,0.17515261,0.15805615,0.14701319,0.15063804,0.16476351,0.17946334,0.18603635,0.18620539,0.18385643,0.18279459,0.17927021,0.16923732,0.15022586,0.13059947,0.122715436,0.13523652,0.16035555,0.1806833,0.18259507,0.16908073,0.15459794,0.1508888,0.1569187,0.16146867,0.15494955,0.13720906,0.11600072,0.09964532,0.09251592,0.09623935,0.11210934,0.13850944,0.17086439,0.19927323,0.21736924,0.22054648,0.2128916,0.19777538,0.18170257,0.16523354,0.1504006,0.13672161,0.12837796,0.12796175,0.13629915,0.14752269,0.15417044,0.1531141,0.148982,0.15005614,0.15946124,0.17287028,0.18263674,0.18606396,0.18564527,0.18459195,0.1803403,0.1694477,0.15241556,0.13835384,0.13473472,0.1422922,0.15237857,0.15732872,0.15476365,0.1487685,0.14519478,0.14869429,0.16326904,0.18835253,0.22001009,0.24612488,0.25756437,0.24980958,0.23124845,0.21082664,0.1952616,0.18367164,0.17550676,0.17140001,0.17047836,0.16722506,0.1536197,0.12916929,0.10181629,0.082799084,0.0744435,0.07106466,0.06618936,0.06241952,0.067180336,0.08551224,0.11293379,0.14093424,0.16139023,0.1706245,0.1677533,0.1557151,0.14144273,0.13213414,0.13001364,0.13097186,0.13257277,0.13640076,0.14821072,0.16716905,0.19194923,0.2171154,0.24104674,0.255062,0.25379583,0.23558927,0.21063918,0.18878476,0.1736713,0.16011852,0.14266105,0.12081816,0.09818822,0.0792734,0.068469964,0.072656475,0.09845234,0.14460276,0.19643514,0.2322365,0.23916416,0.22160046,0.19566618,0.17374521,0.1588096,0.1484334,0.14428572,0.15008138,0.16473408,0.17600465,0.16888319,0.13773738,0.09252574,0.050586462,0.025451412,0.022654518,0.04299842,0.08235516,0.12936582,0.16486104,0.1744368,0.15788795,0.13095824,0.10968998,0.100203805,0.09749784,0.096837915,0.097894095,0.10196919,0.10546509,0.10177187,0.088263325,0.071345486,0.06482906,0.080277674,0.11905375,0.16855592,0.21051966,0.23158115,0.22952987,0.21128766,0.185162,0.15885691,0.13672708,0.12205801,0.114324786,0.11070263,0.1076035,0.10494945,0.10699985,0.11888281,0.14009322,0.16378842,0.18053599,0.18705648,0.1862907,0.183865,0.18087204,0.17398536,0.15993625,0.1409721,0.12612207,0.12541543,0.1422572,0.16962986,0.19525607,0.21124677,0.21631135,0.2145523,0.207887,0.19862418,0.18585436,0.16955386,0.14811026,0.124237426,0.10539583,0.102947466,0.12492844,0.16695867,0.21204351,0.23874302,0.23682605,0.20975576,0.16918547,0.12438795,0.08415558,0.058620427,0.060302187,0.09368182,0.15292174,0.22181995,0.2833361,0.32240674,0.32925794,0.3031737,0.25239348,0.19652629,0.15749305,0.15980934,0.20877631,0.28450018,0.33728626,0.3301474,0.26326284,0.18156941,0.13057896,0.12807184,0.15529296,0.18406887,0.19654377,0.19399486,0.1873634,0.18587925,0.19136201,0.19724208,0.19864756,0.19330066,0.18650132,0.18028028,0.17515433,0.1681764,0.16004689,0.15453762,0.15311764,0.15359354,0.14805849,0.13437882,0.114754826,0.098748304,0.091096066,0.093104,0.099962,0.10762713,0.11229832,0.11183853,0.10556949,0.09353894,0.07833294,0.065307386,0.06648839,0.09521075,0.15437771,0.22652996,0.2797108,0.29276475,0.27042982,0.23987353,0.22500159,0.23133917,0.24659006,0.25472733,0.24664192,0.22217673,0.18744873,0.1504029,0.11722907,0.09010572,0.06807843,0.051292773,0.04372793,0.050714046,0.07406131,0.10797652,0.1440747,0.17302664,0.1899686,0.18997158,0.17586096,0.15600191,0.1446355,0.14558978,0.15134741,0.15047538,0.14464645,0.14542218,0.15999354,0.17911978,0.18669583,0.17476515,0.14937195,0.12140069,0.096787155,0.07693917,0.06485556,0.06728783,0.08856288,0.1220996,0.15371229,0.16973285,0.17018001,0.16341817,0.16130118,0.16497304,0.17049806,0.16936271,0.16067143,0.14804022,0.14181457,0.14969885,0.17517881,0.21138485,0.24602275,0.26384082,0.25781053,0.23083396,0.19728692,0.17190237,0.1624273,0.16522898,0.16991292,0.16792448,0.15627567,0.13940005,0.123743474,0.11496341,0.1143949,0.1202659,0.13202606,0.15122114,0.1783815,0.20505272,0.21780014,0.20967619,0.18992995,0.17420448,0.16911846,0.16579324,0.15426855,0.1343091,0.11752227,0.11185274,0.11709406,0.12455086,0.13073431,0.1376978,0.15169124,0.17276114,0.19560818,0.2111206,0.21268283,0.1976903,0.1712334,0.1431569,0.123407185,0.11398978,0.11009186,0.10597385,0.101086475,0.100509286,0.10968626,0.129867,0.15481497,0.17331535,0.17633574,0.16326635,0.14343387,0.12697533,0.11851583,0.11505259,0.11428392,0.11833606,0.13080303,0.1502329,0.16861624,0.17808793,0.17556565,0.1629755,0.1457221,0.1310003,0.1299737,0.14838743,0.18146993,0.20915695,0.21402667,0.1959437,0.17527546,0.17325182,0.19228168,0.21823783,0.23424512,0.23552662,0.22366214,0.20207162,0.17331354,0.14572167,0.13230304,0.14311276,0.17563252,0.21548218,0.24520926,0.25608554,0.25003222,0.23539107,0.21947105,0.20612837,0.19775313,0.19590479,0.20108734,0.21028842,0.21819788,0.22115177,0.21816705,0.21213412,0.2035413,0.19231945,0.1751262,0.15124615,0.1208092,0.0876961,0.05788824,0.040239677,0.04413269,0.073363364,0.12219125,0.1738519,0.2114178,0.22381552,0.21159421,0.1805631,0.14198278,0.1086547,0.09265194,0.09779034,0.11732922,0.13988091,0.15522408,0.15981646,0.15318213,0.13929829,0.12287223,0.10985404,0.10288661,0.100903384,0.099475406,0.09408184,0.085380666,0.078884445,0.08190537,0.09391906,0.10693174,0.10953882,0.097759776,0.076407306,0.057131585,0.05123425,0.064531624,0.09319923,0.124922596,0.14511262,0.14571232,0.12749268,0.098505355,0.06726492,0.041063454,0.023602603,0.017417444,0.024628049,0.047074225,0.084049426,0.12920213,0.1714112,0.1970403,0.19773245,0.17605044,0.1489199,0.13604948,0.14718018,0.17305444,0.1968656,0.20677726,0.20317048,0.19131666,0.17431225,0.15175906,0.12540348,0.10314828,0.09795817,0.11724583,0.15719157,0.20050156,0.23172708,0.24292712,0.2399292,0.22929914,0.21625088,0.19869809,0.17452146,0.14307909,0.10852013,0.07879671,0.0632792,0.07212561,0.107436635,0.16180833,0.21341622,0.24419288,0.24514087,0.22877909,0.21128225,0.20845306,0.21882582,0.23273551,0.2328053,0.21161932,0.17258163,0.13416335,0.11362385,0.12010942,0.14465195,0.1721155,0.18852973,0.1928625,0.19167481,0.19262081,0.1965609,0.19776976,0.19144619,0.17795263,0.1640831,0.15661763,0.15757908,0.1631182,0.16584344,0.16123015,0.15104805,0.14472944,0.15379025,0.18256696,0.22413087,0.26258525,0.28512397,0.28692934,0.27182698,0.24525528,0.21230942,0.17656021,0.14140946,0.109138764,0.08203063,0.06285373,0.05664687,0.069265366,0.103497945,0.15305562,0.20288682,0.23644876,0.24769945,0.24062347,0.2246949,0.20464511,0.1854542,0.17141014,0.16891293,0.1780674,0.19600199,0.21562897,0.22920926,0.22656369,0.20234634,0.16384955,0.12899928,0.11376876,0.11689669,0.12580355,0.1299224,0.13306074,0.14469308,0.16689204,0.18976218,0.20023085,0.19527273,0.18191783,0.1714618,0.16823925,0.16921751,0.16662359,0.15470038,0.1328287,0.10561947,0.081347,0.067568235,0.06874619,0.08432589,0.1110301,0.14309438,0.173734,0.19553864,0.20553042,0.20598698,0.20386416,0.20339881,0.20411247,0.200256,0.18903232,0.17366165,0.16483848,0.16994613,0.18839519,0.20850469,0.21851605,0.21109279,0.18819411,0.15606211,0.12521039,0.10697029,0.109301984,0.12899174,0.15088551,0.15987039,0.15475608,0.15056099,0.16116108,0.18572398,0.20927256,0.22026525,0.21601956,0.19959986,0.17040868,0.13017009,0.08746797,0.058207646,0.054902833,0.07895574,0.12007222,0.16132586,0.18814276,0.19323115,0.18022753,0.1598522,0.14527906,0.14402367,0.1549475,0.16945688,0.17863478,0.17906626,0.1740805,0.17084013,0.17393874,0.1820149,0.1865813,0.1786605,0.15481652,0.121207185,0.09091795,0.077744104,0.089333236,0.12149667,0.16073525,0.19261396,0.21242397,0.2245764,0.23551743,0.24472924,0.2483033,0.24364336,0.23399496,0.22310193,0.21209343,0.20156492,0.19590825,0.20455378,0.23019417,0.2622428,0.2789858,0.26634926,0.22835255,0.18253152,0.1442239,0.11916518,0.10820291,0.11330289,0.13469426,0.16513713,0.18994056,0.19780312,0.18848866,0.17326696,0.1637835,0.1647446,0.17083351,0.1739105,0.1678441,0.15370488,0.13685818,0.12525004,0.12374774,0.13265626,0.14601861,0.15585105,0.15727095,0.15281439,0.15094365,0.1591705,0.17811124,0.19841696,0.20724572,0.1951557,0.16338055,0.12085927,0.07964828,0.049466446,0.037430346,0.046996832,0.076734394,0.11808946,0.16023898,0.19305228,0.2134039,0.21966498,0.21427137,0.1988007,0.17917466,0.15934934,0.14179349,0.1244005,0.10613126,0.08988618,0.08323447,0.09253025,0.11779665,0.15078105,0.1811098,0.19980581,0.20353776,0.19107471,0.16611342,0.13395925,0.102587186,0.07649802,0.058336347,0.049162656,0.05245091,0.070935465,0.10289732,0.13827442,0.16395499,0.17148948,0.16257752,0.14534114,0.12737627,0.113671966,0.10901079,0.1197043,0.14967354,0.19218285,0.23300345,0.25677982,0.2620468,0.25426206,0.23979516,0.21610032,0.18319188,0.15041979,0.13419263,0.14425956,0.17527656,0.21315075,0.24423079,0.2607405,0.2580498,0.23523755,0.19995816,0.16888976,0.15845753,0.17076945,0.19284618,0.20866822,0.2113175,0.20439696,0.19260663,0.17890893,0.16240206,0.14444935,0.12729318,0.11610255,0.11389629,0.119276404,0.12623443,0.12872396,0.12559251,0.11808333,0.10874498,0.10128641,0.10547433,0.130937,0.17676581,0.2235961,0.24577944,0.23069556,0.18912649,0.1438878,0.11073006,0.090631165,0.07768256,0.07059964,0.07379684,0.08758125,0.103873335,0.11056303,0.10782516,0.108604275,0.13048369,0.17496838,0.2267016,0.26271734,0.27182737,0.25891808,0.23846756,0.22046234,0.20496218,0.187135,0.16755934,0.15349667,0.15113294,0.15518832,0.15528065,0.14773051,0.14662069,0.16797459,0.21412249,0.26430807,0.29554966,0.29768744,0.27912784,0.25265604,0.22822219,0.20948891,0.19598822,0.18415682,0.17333956,0.1678303,0.17425531,0.19151957,0.2146113,0.23798287,0.26219353,0.28258386,0.29141882,0.28323472,0.2666159,0.2576888,0.2640036,0.2783973,0.28491208,0.27650622,0.25955454,0.24714637,0.24883282,0.26123792,0.27773905,0.28877446,0.29315588,0.28934613,0.27929363,0.26312882,0.24265127,0.21942477,0.19234414,0.16052367,0.12519255,0.09683609,0.0872286,0.10378107,0.13930316,0.18112487,0.21719112,0.24634914,0.27090192,0.2919967,0.30456412,0.3021057,0.28593263,0.26344055,0.24738558,0.24048291,0.24080561,0.23851104,0.22975284,0.21133529,0.18592966,0.15637182,0.13013916,0.11423274,0.11233032,0.12016588,0.13013113,0.1363736,0.13831843,0.13505895,0.12501343,0.106079854,0.08469712,0.07352831,0.08764315,0.12912472,0.18413801,0.22792667,0.24625367,0.24411593,0.24067728,0.2467587,0.25759992,0.25913092,0.24677782,0.22719528,0.21076941,0.19925143,0.18669204,0.16703244,0.14145066,0.12082443,0.11882243,0.14423048,0.19048275,0.23943286,0.26943767,0.2710009,0.2480263,0.2144358,0.18269034,0.1615278,0.15341485,0.15702365,0.16611624,0.17557551,0.18309593,0.19156855,0.20227946,0.21477318,0.2252955,0.23213394,0.23488392,0.23575689,0.23542337,0.23224254,0.22382326,0.2108212,0.19801982,0.18828876,0.1806566,0.17038296,0.15498263,0.13398454,0.110577635,0.09061412,0.08384656,0.097086094,0.13015671,0.17303944,0.21384452,0.24230047,0.25306147,0.24471964,0.22147216,0.19336462,0.17021297,0.15776908,0.15403189,0.15571314,0.16030413,0.16785288,0.17696135,0.18280637,0.17975716,0.16439487,0.13962276,0.112383276,0.091757864,0.08387,0.08804125,0.09663499,0.09984972,0.095474236,0.08871754,0.08823425,0.09686011,0.11484903,0.1397026,0.1689436,0.19473334,0.21125232,0.21573718,0.21317424,0.20511661,0.19121148,0.16731067,0.13466902,0.098241925,0.06764444,0.053968158,0.06581728,0.104010075,0.1542626,0.19478177,0.2065954,0.19128144,0.16515051,0.14930926,0.15025575,0.16150571,0.16959189,0.16768546,0.15826225,0.14971232,0.14842422,0.1545365,0.16480899,0.17628838,0.18832439,0.1990916,0.20615387,0.20635702,0.20020604,0.18772356,0.16955175,0.14348392,0.11203352,0.08206026,0.067384414,0.07812006,0.1150737,0.16311555,0.2017682,0.2164941,0.20967002,0.1924805,0.1748013,0.1587256,0.14553407,0.14040731,0.14755385,0.16318451,0.17415066,0.1710965,0.15477781,0.13562253,0.1213468,0.113839805,0.11344401,0.12300098,0.1446395,0.17191605,0.19332622,0.19983572,0.19244742,0.17926608,0.16968806,0.16901563,0.17520982,0.1816728,0.18047424,0.17065501,0.15568389,0.14281441,0.13312139,0.124319606,0.1118009,0.09855821,0.094306745,0.10824219,0.13926947,0.17249505,0.19298019,0.19395499,0.18476194,0.17605038,0.17550147,0.17807591,0.17835796,0.1711613,0.16026491,0.14931287,0.1415652,0.13478418,0.12642005,0.11636356,0.106899776,0.100302815,0.09600904,0.094820976,0.10168769,0.12220278,0.15524375,0.18789107,0.20504873,0.19955151,0.17816351,0.1546796,0.14039002,0.13900526,0.14596061,0.15231742,0.15081443,0.14109258,0.13275091,0.13471566,0.14820956,0.15997829,0.156597,0.13311128,0.101207346,0.07824475,0.0784415,0.1027771,0.14154936,0.17927231,0.20452791,0.21241556,0.20635481,0.1933465,0.18132414,0.17447351,0.17202877,0.17092602,0.16709602,0.16032206,0.15247089,0.1497475,0.15588559,0.16976021,0.18429275,0.19202949,0.19159366,0.1854196,0.1787458,0.17301144,0.16946049,0.16599132,0.1608678,0.15011995,0.13393055,0.117661096,0.11528597,0.1378833,0.18658419,0.24206214,0.2794555,0.27851325,0.2421145,0.18615668,0.13266085,0.09315979,0.07050692,0.060329232,0.05784461,0.058978338,0.060687263,0.060753364,0.05920365,0.06065172,0.07417181,0.105741404,0.15045853,0.1893465,0.20280957,0.18310118,0.14276177,0.10421411,0.088269405,0.10105464,0.13328837,0.16559899,0.18234436,0.17964053,0.16476637,0.14591883,0.12684177,0.108782165,0.09732144,0.09944835,0.11694759,0.13924526,0.15216853,0.1462581,0.125535,0.10077709,0.08403813,0.07992813,0.085415244,0.09339429,0.10067311,0.112079106,0.13304734,0.16243355,0.18882684,0.20307142,0.20122091,0.18775184,0.16394304,0.13281615,0.096535064,0.06402894,0.042946007,0.04014344,0.054676097,0.080538236,0.10805077,0.13049954,0.14590076,0.15372948,0.15261792,0.14091936,0.12217655,0.103874765,0.09276851,0.08925974,0.08851234,0.08634745,0.0830239,0.08145475,0.082566045,0.0832464,0.080646396,0.073656164,0.064057685,0.052744087,0.04255635,0.038738567,0.04815804,0.074222,0.111338116,0.14835574,0.17157197,0.17641483,0.16636337,0.1529545,0.14338104,0.1387106,0.13412155,0.12596075,0.11466261,0.10432082,0.10262937,0.11539479,0.14196068,0.17041062,0.1856655,0.1806175,0.16228758,0.14578326,0.14358245,0.15935148,0.1873831,0.21473591,0.22742738,0.21761535,0.19032991,0.15957816,0.14078005,0.14065911,0.15588874,0.17420806,0.18326008,0.17660059,0.15862702,0.13926415,0.12741141,0.12412,0.12504737,0.12474532,0.123001456,0.12305796,0.12820612,0.13646688,0.1415779,0.13661847,0.11991736,0.09712515,0.0802255,0.07954875,0.097343445,0.12403255,0.14545242,0.15159696,0.14160693,0.12218535,0.101990275,0.09180898,0.10015646,0.13144505,0.17690112,0.21874017,0.2362098,0.22167172,0.1839016,0.14588504,0.12734377,0.13294806,0.14862978,0.15684311,0.15171959,0.14280972,0.14167821,0.14975329,0.16000807,0.1688171,0.17966032,0.19571507,0.21098125,0.21524924,0.2030931,0.17954701,0.15385604,0.13409851,0.12338489,0.12097471,0.12305313,0.12494775,0.12325547,0.11590933,0.10208879,0.083055295,0.06524799,0.05984318,0.075711556,0.1111519,0.15117283,0.17845239,0.18507707,0.17769794,0.167206,0.1586595,0.15011941,0.14012101,0.13207854,0.12933517,0.13099106,0.13400802,0.1389394,0.14819218,0.15984131,0.16551058,0.15910721,0.1420345,0.12191606,0.10306097,0.08622688,0.072021276,0.06561869,0.071352534,0.08754203,0.10422631,0.11164224,0.10686507,0.09705312,0.09257821,0.09886388,0.112987615,0.12529181,0.12889306,0.12112243,0.10671539,0.0897151,0.07426532,0.06158501,0.05467908,0.057359714,0.07218084,0.0959407,0.11892482,0.13008128,0.12453672,0.106505625,0.08794711,0.07954527,0.08497206,0.096690856,0.10349477,0.09819009,0.08244308,0.06290332,0.047781676,0.045305725,0.06324417,0.10100611,0.14746852,0.18307193,0.19727977,0.19241925,0.18282478,0.17727719,0.17659754,0.1736213,0.16548568,0.15323302,0.14198096,0.13282686,0.1253828,0.118231356,0.11318318,0.111550875,0.11197051,0.110745795,0.10596537,0.09994888,0.09626445,0.095995806,0.09678117,0.09516376,0.09001917,0.0842467,0.08453491,0.0970268,0.12100971,0.14716983,0.16219695,0.15953074,0.14162102,0.1181654,0.09635648,0.08072078,0.0714417,0.0684388,0.06822789,0.06648051,0.05913207,0.047786724,0.038175,0.03651704,0.043901388,0.057496894,0.07638431,0.10452742,0.14684522,0.19852519,0.24464957,0.26690087,0.2598179,0.23289724,0.20567203,0.19060172,0.18949926,0.19341986,0.19553171,0.19080858,0.18177582,0.17030881,0.16021,0.14808549,0.12982441,0.10396117,0.080695786,0.076473214,0.10233929,0.15389316,0.21145679,0.25325015,0.2669592,0.25483897,0.22543634,0.18623497,0.14300673,0.10614571,0.092767835,0.11539427,0.1704197,0.23293443,0.27457073,0.27754474,0.24770729,0.20240527,0.16523053,0.14887287,0.15607911,0.17221083,0.18168999,0.17217429,0.14705573,0.11340239,0.081755675,0.058958616,0.054802496,0.0754886,0.119728334,0.17256832,0.21553467,0.23688827,0.24073933,0.2356711,0.22838598,0.2173995,0.20587672,0.2022896,0.21547449,0.24221736,0.2675908,0.27983835,0.27660093,0.2635652,0.24071948,0.20651753,0.16275519,0.121846884,0.09597311,0.09019051,0.09683814,0.105201535,0.10773477,0.10721307,0.11098119,0.12463448,0.14433385,0.16055705,0.16594322,0.16226156,0.15779985,0.15903689,0.16539013,0.17008309,0.16785353,0.15842672,0.14706947,0.13754918,0.13059707,0.12405812,0.11871204,0.116987206,0.12099371,0.12845798,0.13471949,0.13461137,0.12601084,0.111551724,0.09832993,0.09256817,0.093758725,0.09524689,0.09261396,0.090973675,0.101027794,0.12702441,0.1575992,0.17271441,0.15910281,0.12286108,0.085155785,0.06757916,0.078642756,0.10954986,0.14139366,0.15587068,0.1469812,0.12416992,0.10563288,0.10672823,0.1294577,0.16497356,0.19794022,0.21776195,0.218476,0.20198345,0.17271455,0.1399908,0.11439514,0.10500556,0.113123454,0.13007276,0.14578311,0.1540939,0.15818214,0.15986407,0.1600668,0.1557665,0.1486181,0.1395844,0.12928796,0.11605983,0.103550605,0.1006335,0.11466471,0.14283939,0.17174162,0.1876996,0.18377775,0.16336794,0.13560165,0.11364379,0.1073147,0.11927869,0.1415763,0.1632846,0.17603339,0.17936546,0.17704646,0.174318,0.17210133,0.16716027,0.1564187,0.14508422,0.1472043,0.17349766,0.21860862,0.25830424,0.26899958,0.2437669,0.20044124,0.16252957,0.14521746,0.14441389,0.14892526,0.1487421,0.1434716,0.13608335,0.12892275,0.11929849,0.1037575,0.08220441,0.061960753,0.055477988,0.072940476,0.1143134,0.16572632,0.20796587,0.22660208,0.22185485,0.20334591,0.18303943,0.16504852,0.14740913,0.12677582,0.105299614,0.09057143,0.087918945,0.09551388,0.10472954,0.112126626,0.121493004,0.1390311,0.16171433,0.18001229,0.18775235,0.18777688,0.1867584,0.18596624,0.1820429,0.17233902,0.15997773,0.1514558,0.15072161,0.15580471,0.159368,0.15421909,0.13891631,0.11927932,0.10557923,0.10330439,0.10966774,0.11408508,0.10990118,0.10018409,0.09738036,0.11054772,0.13718046,0.16381918,0.17740345,0.17423975,0.1597277,0.14223014,0.12649344,0.11431352,0.10485634,0.09794364,0.09252272,0.08928696,0.087963544,0.089271806,0.09090292,0.09230348,0.09190271,0.09207109,0.092716485,0.09456674,0.09477771,0.09246012,0.087108076,0.08116609,0.076631136,0.07441676,0.07363065,0.073723905,0.074694864,0.07699307,0.08031478,0.086738355,0.099173546,0.12064276,0.14572614,0.16494219,0.16725455,0.15355991,0.13285382,0.118701436,0.11557726,0.11856588,0.117625274,0.107085556,0.08954817,0.07225736,0.06181325,0.05892998,0.060126703,0.06046441,0.057881087,0.053516496,0.050579857,0.052581757,0.059717163,0.06836984,0.07088102,0.06411231,0.05217563,0.047776904,0.060055405,0.08923026,0.122128926,0.14334713,0.14267527,0.12457805,0.10404656,0.09900075,0.118706346,0.1571318,0.19841217,0.22539516,0.23359454,0.2283048,0.2204287,0.21379994,0.20691584,0.19537403,0.17912334,0.1611281,0.14549017,0.13375689,0.12522464,0.11753407,0.10981866,0.10445542,0.106968395,0.120631576,0.14347087,0.16724865,0.18471837,0.18994032,0.18311423,0.16492683,0.14061745,0.11371875,0.09047797,0.07609054,0.07650706,0.09142318,0.11313138,0.12859756,0.12878923,0.11322799,0.0900925,0.069521986,0.059695814,0.061984178,0.07191882,0.08044064,0.081475474,0.07552471,0.07221472,0.081422836,0.10713652,0.14000581,0.16634293,0.17430115,0.16402142,0.1420281,0.118473835,0.09990608,0.08876988,0.08223979,0.074360035,0.06187276,0.047303185,0.039141875,0.043907896,0.06151856,0.083858185,0.10034009,0.10400528,0.09547502,0.08261374,0.07430763,0.07462787,0.07925864,0.080702044,0.07406128,0.06195757,0.052463267,0.05494352,0.07519909,0.11171702,0.1571823,0.19941694,0.22821413,0.23537236,0.22083499,0.18949403,0.15210073,0.116859734,0.088243015,0.06509869,0.04654265,0.033394698,0.029300362,0.03459302,0.04528357,0.052635655,0.051546738,0.04288395,0.03517452,0.03765306,0.05619042,0.08803909,0.12384397,0.15240417,0.16837187,0.17245078,0.16756873,0.15463156,0.13615763,0.117769025,0.10633858,0.10218347,0.10086029,0.09626421,0.08741513,0.07450751,0.059574876,0.04503083,0.037848126,0.046217185,0.07402297,0.11562625,0.1574733,0.18804967,0.20327634,0.20685935,0.20121008,0.18611969,0.15986301,0.12663232,0.094538935,0.075227685,0.07486343,0.09543761,0.12841108,0.16429473,0.19063057,0.20319642,0.20037712,0.18774623,0.1701987,0.15340419,0.1397726,0.12995571,0.12191564,0.11254529,0.09969154,0.08389002,0.06798505,0.055255804,0.049102228,0.053263407,0.07088546,0.1008358,0.13438119,0.15876918,0.16516255,0.15850751,0.15224735,0.15789823,0.1721401,0.18332337,0.18055741,0.16299364,0.13672157,0.11307061,0.10444397,0.11885228,0.15220036,0.18875174,0.21176474,0.21465813,0.20349665,0.18822229,0.17481385,0.16253406,0.15058023,0.14085959,0.13761674,0.14007182,0.14268391,0.13792412,0.12296098,0.10000912,0.07523661,0.055648547,0.047147896,0.052041978,0.06862423,0.09182987,0.115577824,0.13374555,0.14153397,0.13902555,0.13214912,0.13126487,0.14091039,0.15752707,0.17025667,0.17314011,0.16756214,0.16257279,0.16522507,0.17664306,0.18903054,0.192079,0.18011342,0.15738219,0.1343448,0.11879005,0.11160168,0.107660376,0.10305142,0.096529484,0.09001396,0.08461771,0.08057558,0.077549286,0.07574335,0.07432294,0.070740454,0.062291607,0.0515883,0.046629783,0.05611223,0.080129646,0.109350264,0.13094176,0.13859539,0.135264,0.13005985,0.12989779,0.13489622,0.13873696,0.1347918,0.12203198,0.104688354,0.08980408,0.082754835,0.085677564,0.09733314,0.11383542,0.13368024,0.15347181,0.16841577,0.16897689,0.15329354,0.12857042,0.10932565,0.10342496,0.10940265,0.11954584,0.12641315,0.1262279,0.11768951,0.1042892,0.089732826,0.07783974,0.06713146,0.056102227,0.045056168,0.039837647,0.045695957,0.06245495,0.08296512,0.10092688,0.11549544,0.12984508,0.14236249,0.14712602,0.13947327,0.12319111,0.106123485,0.09274683,0.08114947,0.067311265,0.052444663,0.043542486,0.050225247,0.076440245,0.117185734,0.1593126,0.1893286,0.20012474,0.19431637,0.17985536,0.16449696,0.15027611,0.13607234,0.11995483,0.103213586,0.08822823,0.078307875,0.076314755,0.08390007,0.09868768,0.113993235,0.12221856,0.12042671,0.110798836,0.0995054,0.093078084,0.099811085,0.124213755,0.16303106,0.20039882,0.21861929,0.20991693,0.18252401,0.15265463,0.13163038,0.12297972,0.12122045,0.12092846,0.117869996,0.11834342,0.13168062,0.16346365,0.20346825,0.23328455,0.2399386,0.22586209,0.20286489,0.17960627,0.15687725,0.13410762,0.11660517,0.11377847,0.12960449,0.15735935,0.18481916,0.20170765,0.20491593,0.19501173,0.17674588,0.15532178,0.1371473,0.12428335,0.11662465,0.11176538,0.108305655,0.10356616,0.09602476,0.08843588,0.09150999,0.11556121,0.1601137,0.20821126,0.23887472,0.24232768,0.22632276,0.20728876,0.19589674,0.19274504,0.19100277,0.18578665,0.17652549,0.16635676,0.15866773,0.15503818,0.15603392,0.15939088,0.16121684,0.15698172,0.14680749,0.13684244,0.13372287,0.13918887,0.14682584,0.15227012,0.155228,0.15956867,0.16248,0.15700966,0.14082484,0.12476327,0.1268936,0.1557134,0.20145518,0.2423964,0.26200518,0.25781208,0.2379321,0.20995396,0.1771232,0.13992067,0.102971666,0.07489747,0.06625958,0.080671735,0.11230617,0.1469891,0.1736343,0.18687917,0.1877836,0.17619939,0.1563467,0.13619831,0.12727433,0.13278466,0.14784858,0.16410159,0.17774439,0.18954514,0.20058297,0.21094131,0.21881992,0.22275372,0.22064988,0.20964493,0.18689485,0.15263376,0.11507627,0.08831438,0.084309764,0.10349072,0.13429894,0.1620096,0.17800458,0.18149155,0.17685847,0.16735016,0.15603708,0.1434346,0.13155124,0.12116016,0.114860974,0.115743585,0.1283084,0.15155667,0.1761791,0.18850543,0.18514957,0.17743015,0.18071455,0.19797485,0.21808644,0.22997409,0.23207857,0.23068486,0.22832878,0.22336906,0.21337712,0.20221706,0.19445185,0.19200093,0.19018032,0.18464272,0.17274015,0.1555004,0.13327958,0.10758429,0.08186702,0.063652135,0.06042399,0.07410719,0.09767571,0.11837751,0.12728234,0.12557007,0.1246295,0.13556068,0.15978013,0.18483837,0.19316651,0.17451112,0.13573724,0.096944034,0.080812216,0.09719374,0.13919301,0.18484707,0.21388102,0.2175829,0.2051173,0.18904938,0.17581588,0.16013671,0.1377722,0.11219782,0.093985796,0.089673884,0.09476977,0.09955718,0.09716087,0.09262928,0.09479491,0.110151805,0.1340123,0.15778117,0.17305054,0.17620678,0.16572592,0.14438564,0.12138802,0.10883558,0.11173756,0.12188194,0.12592594,0.11939862,0.11044995,0.11137641,0.12466829,0.14356275,0.1555355,0.15321015,0.13471381,0.10735377,0.08241641,0.06926661,0.06889997,0.07343593,0.075749405,0.07206977,0.06559514,0.05935229,0.05953136,0.07056705,0.0948835,0.12698072,0.1575678,0.17993832,0.19323404,0.20112349,0.20388997,0.20078732,0.1903559,0.17756881,0.1666613,0.16038518,0.15445532,0.14693306,0.13701874,0.1286556,0.12147015,0.114747435,0.105151504,0.093855,0.08227534,0.07362876,0.06825339,0.066301316,0.06597898,0.06597514,0.06584216,0.068931095,0.08192539,0.1074064,0.13971321,0.16217847,0.16292872,0.14060046,0.11274912,0.098887086,0.112261236,0.14486964,0.17702973,0.18729007,0.1704055,0.13694184,0.10471574,0.08574546,0.08033818,0.08217311,0.08241364,0.07770392,0.06784748,0.057533104,0.051504623,0.056506913,0.076054156,0.107994825,0.14021109,0.15814547,0.15294762,0.12898202,0.09901503,0.078001685,0.07546356,0.09395211,0.12742531,0.16382621,0.19015597,0.1987191,0.19126177,0.17422323,0.15451874,0.13302243,0.10920704,0.085004784,0.0700239,0.07695537,0.111071326,0.16477616,0.2177995,0.25186753,0.25658575,0.23521024,0.19683872,0.15419061,0.11907613,0.100934945,0.10288007,0.118779935,0.13533212,0.14032924,0.13002889,0.11191533,0.09597751,0.08857334,0.087648995,0.08871754,0.08746701,0.08250517,0.07350876,0.06401345,0.062017675,0.07912225,0.11858032,0.1720028,0.21912827,0.24828549,0.25835353,0.26120627,0.26137504,0.25959384,0.2501173,0.23379855,0.2113202,0.18675654,0.16118927,0.13885672,0.12237206,0.11547836,0.11708891,0.12369587,0.12780525,0.12359184,0.10832888,0.0848212,0.0587621,0.037594084,0.028449707,0.03841121,0.069810055,0.117559336,0.1660499,0.19963002,0.20950693,0.20087385,0.18304159,0.1649995,0.15028995,0.14232276,0.14266014,0.14973338,0.1556796,0.15178089,0.13393179,0.10752359,0.08360707,0.074666254,0.0860666,0.113789774,0.14351745,0.16228016,0.1650014,0.1593308,0.15326653,0.15008551,0.1445656,0.1344911,0.12322845,0.119035274,0.12433529,0.13242187,0.1319957,0.118355505,0.09908358,0.09004342,0.10228745,0.13618937,0.18009685,0.22232063,0.2526187,0.26827526,0.26904342,0.25935787,0.2426501,0.22098644,0.19614631,0.17210905,0.15447608,0.14465944,0.13948716,0.13396566,0.12611891,0.116970204,0.107013874,0.095204145,0.07972171,0.06363999,0.054553743,0.061645046,0.08551485,0.11666765,0.13979526,0.14757718,0.14340967,0.13871312,0.13958256,0.14603998,0.15055199,0.14766937,0.13347754,0.112282656,0.091944404,0.08206952,0.084184386,0.09352463,0.104406655,0.11802277,0.1365882,0.15602255,0.16424547,0.15424891,0.13093852,0.107668936,0.09305182,0.08669982,0.08420834,0.08407103,0.08845282,0.09798893,0.10791665,0.1109953,0.10531628,0.100653194,0.11255161,0.14997353,0.20634176,0.26271448,0.3005685,0.3090249,0.291106,0.2571064,0.2217835,0.19378829,0.17726485,0.17333515,0.18199867,0.1988282,0.21151865,0.20918322,0.18842149,0.15736179,0.12669702,0.10608608,0.10095254,0.11068634,0.12677976,0.13590968,0.12943412,0.10957863,0.08774229,0.07860207,0.09047707,0.12235268,0.16031253,0.18899329,0.19861998,0.19361402,0.18298541,0.17402272,0.16612183,0.15690546,0.14501673,0.13176338,0.11984539,0.113907695,0.12061032,0.14071529,0.1664462,0.1817761,0.18038873,0.16853674,0.16465227,0.17696135,0.19968815,0.21257012,0.20200355,0.16868597,0.1303292,0.10612296,0.105215035,0.12101704,0.13685916,0.13886027,0.123018295,0.09874562,0.077994384,0.07056471,0.07874641,0.101526916,0.1333246,0.16398649,0.18217391,0.18150912,0.16557793,0.14227386,0.11809495,0.09448611,0.07333461,0.060664117,0.06572515,0.09238491,0.1334093,0.1721495,0.19371569,0.1937402,0.17934795,0.16148977,0.14764869,0.14069189,0.13961947,0.14270379,0.14617474,0.14752449,0.14420003,0.13598278,0.122816734,0.10731858,0.092541836,0.08106911,0.07177895,0.06331775,0.056962088,0.05844753,0.073042095,0.10092654,0.13508777,0.16361375,0.17536908,0.16495821,0.13627495,0.099286705,0.06613777,0.0466935,0.047544613,0.0700399,0.107151546,0.14595236,0.17117302,0.17709182,0.16671647,0.15278475,0.14342807,0.13991185,0.13475496,0.12344011,0.10971788,0.101444215,0.10221812,0.10503078,0.10122358,0.08606734,0.06453122,0.044535022,0.033849183,0.035716828,0.049484264,0.071916886,0.097293444,0.120440684,0.13551281,0.14227189,0.14339393,0.14649004,0.15344155,0.16102493,0.15968211,0.14560685,0.12328398,0.10402852,0.09524948,0.09570066,0.10003092,0.104849815,0.111323096,0.11797768,0.12092797,0.11638308,0.11004663,0.11153204,0.12814957,0.15410139,0.17802829,0.18823914,0.18226151,0.16279359,0.13908085,0.121597916,0.120286964,0.13513608,0.15709005,0.1718659,0.17203456,0.15887435,0.14005141,0.122320436,0.108609416,0.10015881,0.09616222,0.095620126,0.09433711,0.09032559,0.08453258,0.08141134,0.08264346,0.08476817,0.08301001,0.07619498,0.06951562,0.070467845,0.0851476,0.11346463,0.14813413,0.17675014,0.18909736,0.1821881,0.16083847,0.13166918,0.100066446,0.06912339,0.043162283,0.0279421,0.03106889,0.056925077,0.10274448,0.15402071,0.19222237,0.20436424,0.19308753,0.16972204,0.14601573,0.126437,0.11290634,0.107358776,0.112024345,0.12469859,0.13848512,0.14502494,0.14159055,0.13325128,0.1298645,0.13702594,0.15166731,0.16467716,0.16869096,0.16223294,0.14839906,0.13086267,0.11270807,0.09641295,0.08491677,0.079770446,0.0802025,0.08277703,0.08374175,0.08159391,0.078377366,0.079407364,0.090150036,0.11180651,0.13770607,0.15537637,0.15393387,0.13147305,0.09686635,0.06415971,0.044348408,0.039875846,0.04607481,0.05763893,0.073918015,0.09801153,0.1324511,0.1731199,0.21059911,0.23097272,0.22668438,0.19799568,0.15715393,0.11818568,0.0948051,0.09416779,0.116268314,0.15142195,0.18394653,0.20180744,0.20103115,0.18498242,0.15780394,0.12559283,0.09801081,0.08661725,0.097196124,0.12475694,0.15615837,0.17818046,0.18367207,0.17445417,0.15755355,0.14085615,0.12850402,0.1212218,0.11860073,0.11915088,0.120071255,0.11686158,0.108145386,0.097862594,0.09422594,0.10190844,0.11728996,0.12854841,0.12646,0.111673795,0.09874994,0.10237793,0.12923361,0.16712074,0.19969858,0.21111524,0.20252305,0.17948876,0.15404902,0.12937589,0.10858813,0.09010345,0.07776025,0.07630495,0.09203207,0.124085605,0.16392128,0.1972465,0.21383204,0.21138626,0.19669516,0.17727345,0.15819864,0.13992609,0.124727,0.11849616,0.12651704,0.1470658,0.16824155,0.17954266,0.177732,0.17245473,0.17306526,0.18257199,0.19014473,0.18399389,0.16118985,0.13722125,0.1306919,0.15050672,0.1842456,0.21392594,0.2257328,0.2216692,0.20900078,0.19692536,0.18685834,0.17762351,0.16488904,0.14969099,0.1357277,0.12999034,0.13541578,0.15047471,0.16916358,0.18357472,0.18673235,0.17500944,0.1553463,0.14490134,0.16561858,0.22340502,0.30429086,0.37481913,0.4108663,0.40176892,0.36092582,0.30474937,0.25120428,0.2054754,0.16713087,0.1304558,0.09626151,0.07079529,0.06335732,0.07305175,0.088692255,0.09572334,0.09390152,0.09868168,0.1271217,0.17642991,0.22187085,0.23724985,0.21770199,0.18153827,0.1511401,0.13446431,0.1245087,0.11237081,0.09898587,0.09518993,0.10895065,0.13781105,0.1665533,0.18413515,0.18788296,0.18682097,0.18492156,0.18141729,0.17209256,0.15992169,0.15022922,0.14330779,0.13204132,0.10969972,0.08038151,0.057101786,0.05502526,0.07891214,0.12228497,0.1699032,0.20984815,0.23641616,0.24952464,0.24781333,0.23112632,0.20329048,0.17663662,0.16096888,0.16001351,0.16401015,0.16671944,0.1652354,0.16708791,0.1719501,0.1764964,0.17302012,0.16403942,0.15595327,0.15414779,0.15402728,0.14650668,0.12713896,0.102603704,0.0864818,0.0897184,0.1115335,0.1395651,0.15657933,0.15421034,0.13994303,0.13193604,0.14227569,0.16588236,0.18586923,0.19039136,0.1818888,0.17332871,0.17441101,0.18716486,0.20580524,0.22350885,0.23150624,0.22309165,0.19665082,0.16154574,0.13501234,0.13208334,0.15426868,0.18588986,0.20605177,0.2064993,0.19980823,0.20703165,0.23651285,0.27807927,0.312457,0.32728598,0.318627,0.2901949,0.2483611,0.20366226,0.16752921,0.15019792,0.1574289,0.18672301,0.22648476,0.25795808,0.26729965,0.25366184,0.23175813,0.21893482,0.2239929,0.2419724,0.26198336,0.27825058,0.29224336,0.30942407,0.32822713,0.34163484,0.34032845,0.32173106,0.28858086,0.24589945,0.19842137,0.15385935,0.124940865,0.12330806,0.15265444,0.20131753,0.25161162,0.2830635,0.2873421,0.2646711,0.22832446,0.19230343,0.16783895,0.15675819,0.15405643,0.15274186,0.14937794,0.14628758,0.14883924,0.15731938,0.16713798,0.16993867,0.16689193,0.1655997,0.17994447,0.21431851,0.26417288,0.31280744,0.3434112,0.34404454,0.31708622,0.27436838,0.23188095,0.19861631,0.1801517,0.17788798,0.19359793,0.2194203,0.24343695,0.2520069,0.24326868,0.22234316,0.1970949,0.16937286,0.1377557,0.10342445,0.074565694,0.063174434,0.07497657,0.10119397,0.12269527,0.12315758,0.104057014,0.08043631,0.070249476,0.079005174,0.10340754,0.1329724,0.15895359,0.17317648,0.17430891,0.16622458,0.15583259,0.1507926,0.15708666,0.17973165,0.21257402,0.24197984,0.25279462,0.24462062,0.22566861,0.20348151,0.17558102,0.1402709,0.10403761,0.079423785,0.07280592,0.078361385,0.084616125,0.0825303,0.07072131,0.053141724,0.03681769,0.028762897,0.032503344,0.044860367,0.059643626,0.07426276,0.09807501,0.13933946,0.19680111,0.24771649,0.272976,0.26449355,0.23739362,0.20604627,0.18195342,0.1660588,0.15787661,0.15541317,0.15643351,0.1615153,0.16907263,0.17800508,0.18336539,0.18587863,0.18667269,0.18771136,0.18308865,0.16828455,0.14342064,0.12024444,0.111596115,0.12370682,0.1496446,0.17482497,0.18869704,0.18831699,0.17841558,0.16069266,0.13624446,0.10538309,0.07420945,0.050043512,0.04081533,0.050228525,0.07806612,0.11682878,0.15706515,0.18972765,0.21264087,0.22501457,0.22745562,0.21836793,0.19937225,0.17581077,0.15838224,0.1578843,0.17784388,0.20920338,0.23439683,0.23968549,0.22274078,0.1908887,0.15301342,0.117430866,0.09263424,0.08682975,0.10098946,0.12621762,0.14789389,0.15709554,0.15338255,0.14152038,0.12295834,0.097717084,0.06854395,0.045605853,0.041742727,0.064411245,0.10704229,0.1493607,0.16798528,0.1545001,0.12214205,0.098511666,0.10237584,0.13411683,0.17418993,0.2033016,0.20878099,0.19396497,0.16701446,0.14130068,0.12477642,0.12172983,0.12646246,0.13216236,0.13304424,0.13385671,0.13936722,0.15311146,0.16633774,0.17081021,0.15846626,0.13380039,0.105543464,0.08852455,0.090541095,0.110763155,0.13661186,0.15466452,0.15873691,0.15289187,0.1452822,0.14030875,0.1360545,0.12714104,0.11044147,0.08926963,0.07269155,0.070225455,0.08458111,0.10786015,0.12610666,0.1287708,0.117011406,0.102279335,0.09483989,0.09609783,0.09822134,0.09778393,0.09812727,0.10621673,0.12071344,0.13424288,0.13994788,0.13598184,0.123544015,0.10503297,0.088029854,0.08400184,0.1006038,0.13272928,0.16322438,0.17553048,0.1641101,0.14024885,0.12137127,0.12138931,0.138627,0.1615596,0.17532218,0.17435347,0.16169555,0.14724901,0.13802248,0.1349961,0.1311065,0.11956649,0.09949881,0.08005918,0.07376357,0.0890288,0.12377622,0.1658553,0.19967575,0.21481855,0.21157008,0.19895561,0.1853361,0.17415287,0.16140886,0.14507477,0.12590145,0.11208308,0.11012256,0.12301286,0.14386654,0.16345225,0.173495,0.1736449,0.16771556,0.16108738,0.1561284,0.15146606,0.14620094,0.14027923,0.13693105,0.1344288,0.12948905,0.117691875,0.10409718,0.097375534,0.104419865,0.119515575,0.13125211,0.1300787,0.11761888,0.10045006,0.08531743,0.07361791,0.06608585,0.06330586,0.06677025,0.07481769,0.08379189,0.0886814,0.08687345,0.0775249,0.063816585,0.0517092,0.050407242,0.065048434,0.09371098,0.12758105,0.15941946,0.18761264,0.21183003,0.22931695,0.23447926,0.22811352,0.21595089,0.2059504,0.20007688,0.19685668,0.19315736,0.18681775,0.17588617,0.15977652,0.14076407,0.123543836,0.11307064,0.110977866,0.114562966,0.117696285,0.11571258,0.109038614,0.10155236,0.09639839,0.092156164,0.08800238,0.08553919,0.08883697,0.09747817,0.106527895,0.11073793,0.10956741,0.106362544,0.10415781,0.10357765,0.103888445,0.10399204,0.103087075,0.10061097,0.096703894,0.0918673,0.08625457,0.08183695,0.082977176,0.09452081,0.11523197,0.13572013,0.14489593,0.13819218,0.12184312,0.10512153,0.094504684,0.08943648,0.0876995,0.08834678,0.091611564,0.096149445,0.098297834,0.097994626,0.099579364,0.10860652,0.12407544,0.13863073,0.14538416,0.14263113,0.13425721,0.12337942,0.1114164,0.098265104,0.08652688,0.08050362,0.082784116,0.090650596,0.0979383,0.100492485,0.09880344,0.095421106,0.09072622,0.0833923,0.07405406,0.06804194,0.07150008,0.08634105,0.106960855,0.12471471,0.13247308,0.12836637,0.113937326,0.09340077,0.07293122,0.060833916,0.06399429,0.08240714,0.10631061,0.121715404,0.1217119,0.11361542,0.112470426,0.12668662,0.15025784,0.16930914,0.17512752,0.1681303,0.15506418,0.14235221,0.13608627,0.13911468,0.15056534,0.16481583,0.17583722,0.1796213,0.1741308,0.15836799,0.133815,0.1073441,0.09006443,0.090006985,0.10579874,0.12546821,0.13691722,0.13486774,0.12496098,0.114986956,0.109569855,0.10653671,0.10236708,0.09644136,0.091290124,0.08830339,0.08440125,0.075889714,0.062813416,0.050774645,0.044837758,0.046840027,0.055094283,0.06943656,0.090075456,0.11648675,0.14377393,0.1655396,0.17492308,0.16887929,0.14883688,0.12200675,0.09719663,0.080287255,0.07158625,0.068083614,0.067706615,0.069613345,0.073220335,0.075664766,0.07491662,0.070184246,0.06374487,0.057046983,0.050946508,0.044515297,0.03840862,0.035345335,0.041416563,0.061090644,0.094385564,0.1319459,0.16199076,0.17473619,0.17220782,0.1619163,0.15235406,0.1432873,0.1312281,0.11462837,0.09866846,0.08962401,0.08881432,0.09296575,0.09958095,0.109676905,0.12304767,0.13407236,0.13626905,0.12908708,0.11871914,0.110215195,0.10336516,0.09724671,0.09363586,0.09669754,0.10434859,0.11042533,0.10696342,0.0934568,0.0742478,0.056723427,0.04473123,0.038609367,0.035648067,0.033308867,0.031038545,0.031020463,0.035887606,0.04653156,0.061091695,0.07970878,0.10421661,0.13919482,0.18223546,0.22882397,0.26831177,0.29573485,0.30442977,0.29445955,0.2656306,0.22469024,0.17904961,0.14038898,0.12046353,0.12817828,0.16086133,0.20207275,0.2297797,0.22971453,0.20208083,0.15866847,0.11537086,0.087939434,0.08674956,0.11218527,0.15329987,0.1933645,0.22124171,0.23264866,0.2319683,0.22241479,0.2102588,0.19591844,0.1817363,0.16746394,0.16014785,0.16440254,0.17981742,0.19490433,0.19892192,0.19056822,0.18060309,0.18147098,0.19590092,0.21512556,0.22464949,0.21687917,0.19361918,0.16480069,0.13766597,0.11548308,0.099057324,0.09409142,0.10520146,0.12943487,0.15183371,0.16102315,0.15814282,0.15719752,0.16649069,0.18330602,0.19549607,0.19551891,0.18296821,0.16595076,0.1526268,0.14586255,0.14021915,0.12718846,0.10392975,0.07497723,0.049194988,0.032406926,0.027107283,0.035004854,0.06057043,0.10716289,0.16988035,0.23224378,0.27367994,0.28223717,0.26165533,0.22915204,0.20628138,0.20783855,0.23366028,0.26521304,0.2787925,0.25853398,0.21015018,0.15243258,0.10924945,0.09521207,0.11101467,0.14128125,0.16392265,0.1666508,0.15541263,0.14976536,0.16440623,0.20085447,0.24493492,0.28060922,0.2963992,0.2953905,0.2848487,0.27096117,0.25140566,0.22525012,0.19857098,0.18183035,0.18064956,0.1883704,0.19338538,0.18760294,0.17613484,0.172276,0.18783677,0.22104226,0.25882545,0.28701612,0.30103728,0.30381703,0.2986578,0.28592607,0.26538503,0.23959439,0.21127938,0.1840117,0.16019924,0.14435153,0.13762693,0.14013667,0.14729197,0.15655088,0.16434403,0.1703433,0.17290409,0.17168444,0.16742873,0.1655428,0.17525329,0.20197873,0.2404654,0.27478382,0.28877395,0.2764824,0.24223648,0.196886,0.15143664,0.118495815,0.10858474,0.12570488,0.16095346,0.19631368,0.21518224,0.2127486,0.19632302,0.18043171,0.17579989,0.18555807,0.19984291,0.2077521,0.20218563,0.1895412,0.17757225,0.17163777,0.16774653,0.16151513,0.1498907,0.13405721,0.11501438,0.09572542,0.08088633,0.07630079,0.08187463,0.0900008,0.09182503,0.08708363,0.08528014,0.0962708,0.119042814,0.14426519,0.16127157,0.1694023,0.17100228,0.1700967,0.16402751,0.15296113,0.139082,0.13110234,0.13509499,0.15274017,0.17851543,0.20563431,0.22858398,0.2443009,0.25115576,0.24932252,0.24332611,0.23849781,0.23822944,0.23920828,0.23689544,0.22847958,0.21527587,0.19970767,0.18383129,0.16965348,0.15837546,0.14978783,0.14310654,0.13767748,0.13443403,0.13293006,0.13265999,0.13166845,0.12829588,0.12012573,0.10596281,0.08931414,0.078212894,0.08274119,0.104552746,0.13631192,0.16130054,0.16844289,0.15650052,0.1412281,0.14083497,0.16507165,0.2023896,0.23042275,0.23364146,0.21576576,0.19420558,0.1813525,0.17784698,0.17416984,0.1641737,0.14828892,0.13622463,0.13973857,0.16544016,0.20515426,0.23922008,0.24865077,0.22997157,0.19454066,0.16000558,0.13915522,0.13736807,0.15331288,0.18070698,0.21225838,0.24107568,0.26249728,0.2730277,0.26889965,0.24987875,0.21741219,0.1810563,0.14764267,0.123619445,0.106183134,0.0972662,0.10018938,0.12099022,0.15433055,0.1869594,0.2055838,0.20813848,0.20375042,0.20284738,0.20949334,0.21753025,0.2165703,0.19941948,0.16906996,0.14004038,0.13095754,0.15254937,0.19776906,0.2441682,0.26953232,0.26597497,0.24296029,0.21556866,0.19258718,0.17487486,0.1588862,0.14498405,0.13366233,0.12799299,0.12938462,0.14516187,0.18202007,0.24248795,0.31321248,0.3731381,0.40101156,0.39224517,0.35487923,0.3092321,0.27084932,0.24712388,0.22945637,0.20746447,0.17988779,0.1630842,0.17471766,0.21521513,0.26075903,0.2835879,0.27410808,0.24678878,0.2204514,0.20148952,0.1831498,0.16336496,0.15159492,0.16147406,0.194269,0.23934352,0.28282467,0.31802985,0.33991364,0.34477374,0.32724234,0.29083782,0.24298285,0.1992616,0.17133467,0.16663171,0.17919149,0.19876397,0.21755217,0.23682666,0.25987956,0.28410777,0.3014756,0.30608174,0.29998228,0.28813916,0.27316734,0.25392267,0.23200156,0.21038605,0.19206052,0.17647398,0.16598456,0.16384836,0.17097475,0.17954886,0.17994972,0.16680123,0.14351438,0.117468774,0.099027984,0.09741888,0.11618284,0.14869535,0.17999077,0.19937617,0.20266221,0.19580746,0.18124183,0.1636911,0.14573763,0.13844194,0.14951065,0.17908032,0.21262878,0.23266856,0.23217814,0.21754156,0.20141982,0.18994083,0.1842525,0.18197048,0.18287128,0.18536574,0.18835156,0.18811774,0.1806469,0.16248167,0.13855623,0.12161347,0.12558831,0.15247965,0.19029915,0.21976404,0.22790252,0.21442972,0.19024797,0.16754226,0.15106279,0.13942705,0.13149096,0.13518892,0.15810561,0.19999428,0.24258356,0.26462507,0.25226054,0.21146692,0.16093819,0.12609805,0.12582631,0.16438758,0.22531466,0.2819028,0.31120357,0.30858758,0.28410542,0.25511006,0.23408167,0.22625543,0.2299368,0.2405427,0.25236878,0.2588413,0.255162,0.24152774,0.22299992,0.20455252,0.18717183,0.17236428,0.1641898,0.16790463,0.18016762,0.19273557,0.1965921,0.19309895,0.18716931,0.18641084,0.19047076,0.19620402,0.19342597,0.17808755,0.15143116,0.1290807,0.123344816,0.13997893,0.16603266,0.18803227,0.19493856,0.18810515,0.17058599,0.15183371,0.14584564,0.17085992,0.23194347,0.31292176,0.3788276,0.40227672,0.3753004,0.31678942,0.24979295,0.19585925,0.16034554,0.14398678,0.14082265,0.14947039,0.1685747,0.19910644,0.23761661,0.27651492,0.3061463,0.31837362,0.3111702,0.2851801,0.24763043,0.20806186,0.17871487,0.16482091,0.1630658,0.16446573,0.16182506,0.15505405,0.14728433,0.14183223,0.13763517,0.13363592,0.12961313,0.12844713,0.13114057,0.13768674,0.14531273,0.15192191,0.15302783,0.14598049,0.13054208,0.114838324,0.10812366,0.11652684,0.1338938,0.14992975,0.15445103,0.14840902,0.13723798,0.13094746,0.1331233,0.1440327,0.15550405,0.16058414,0.15526205,0.1456696,0.1430202,0.15654503,0.18709344,0.22342177,0.25310445,0.26519194,0.26061496,0.2423438,0.21865754,0.19392818,0.17406344,0.16151452,0.15892209,0.16653983,0.1812342,0.1965551,0.20371573,0.19956607,0.18534534,0.16861737,0.15395828,0.14566833,0.14255913,0.14443006,0.14768653,0.15125011,0.15245298,0.15052362,0.14331703,0.13224156,0.12203466,0.1213757,0.13557114,0.16282026,0.19366108,0.21700026,0.2279098,0.22706501,0.22044593,0.2098866,0.19824207,0.18587203,0.17788905,0.17564583,0.17773283,0.17537771,0.16143188,0.1362121,0.1125182,0.10598925,0.123536825,0.15502061,0.182545,0.19226067,0.18594307,0.17471373,0.17148946,0.17901623,0.19276011,0.20347577,0.20701607,0.20317483,0.19731641,0.19266151,0.19121917,0.19010246,0.18997431,0.19389802,0.20809625,0.22961843,0.2485202,0.25314686,0.24483418,0.23232074,0.22448301,0.21890514,0.2108896,0.19754933,0.18348677,0.17318052,0.16992564,0.17332429,0.18197097,0.19211072,0.19949543,0.19945972,0.19083184,0.17379165,0.15080088,0.124497116,0.10167592,0.090390936]