[0.2697923,0.2728233,0.2723386,0.25704014,0.22590023,0.19438589,0.18074588,0.19575928,0.2326827,0.28729603,0.34957215,0.40786842,0.42879307,0.39029357,0.29664305,0.19447906,0.13542399,0.14212589,0.19157676,0.23572592,0.24118279,0.20976448,0.16969907,0.14331895,0.12972806,0.11410242,0.087771915,0.057529718,0.038196977,0.043257777,0.07655657,0.12857026,0.17946906,0.2151833,0.24339275,0.28578004,0.35086516,0.41284725,0.43290922,0.39423788,0.32117036,0.2518588,0.20696515,0.1809631,0.16595173,0.17106982,0.21205048,0.2866308,0.36041597,0.39177743,0.36196697,0.29345992,0.22775955,0.19539951,0.1943851,0.19998455,0.18849558,0.15598072,0.11877167,0.09654626,0.099858545,0.12302462,0.15188128,0.16886021,0.16417575,0.14070882,0.11553603,0.10626916,0.118720315,0.14033718,0.15597959,0.15833944,0.15827684,0.16655153,0.18497117,0.19575258,0.18199551,0.14172761,0.095025994,0.06673332,0.068638034,0.09617704,0.13497241,0.17397146,0.20716703,0.23832262,0.27287343,0.3123684,0.34278032,0.3444767,0.30629674,0.24160908,0.17791466,0.13874508,0.1265284,0.12749994,0.12569647,0.11580845,0.1009632,0.08511243,0.06768554,0.048029333,0.028325113,0.014731802,0.013603079,0.031288374,0.06807136,0.11426005,0.14849426,0.15458687,0.13422321,0.11158817,0.10910269,0.13468747,0.17343141,0.20919812,0.22859113,0.22987938,0.21416612,0.19043642,0.16983473,0.16141205,0.16112061,0.15638433,0.1353481,0.102211215,0.07182501,0.06086545,0.07149237,0.09392948,0.11256626,0.118187375,0.10960404,0.092276506,0.07284812,0.05666915,0.045359645,0.037491955,0.029952347,0.021429831,0.012720529,0.006319647,0.003943492,0.0068400186,0.014748686,0.02569701,0.034991022,0.037947416,0.032831676,0.022897823,0.013783474,0.0105864,0.014784612,0.024852244,0.036709342,0.04892471,0.0638816,0.08837811,0.12214307,0.15470444,0.16658229,0.14817794,0.105891176,0.0598021,0.027297398,0.016536565,0.028861078,0.06081299,0.106983125,0.15352239,0.18683074,0.19386463,0.17664824,0.14807183,0.13091566,0.13880253,0.1693327,0.204552,0.22508286,0.22173853,0.19830708,0.16858286,0.14809895,0.14609008,0.16226515,0.18686508,0.20972241,0.21868233,0.20761119,0.17293514,0.12515962,0.08007523,0.056825805,0.060782015,0.08653607,0.11866516,0.14563625,0.15951195,0.15946783,0.14937629,0.14327627,0.15928729,0.20540743,0.26637438,0.3122894,0.32282603,0.30096915,0.26141736,0.21562707,0.16755264,0.12515844,0.09585174,0.081665464,0.071786575,0.057514906,0.03773346,0.023091145,0.02458264,0.049724173,0.09534562,0.1483062,0.18910734,0.2039337,0.1913531,0.16053055,0.12211286,0.083848305,0.051653247,0.032933917,0.036732364,0.06986398,0.12993358,0.20041867,0.2528763,0.26297137,0.22440362,0.1571372,0.091988385,0.056764316,0.058974992,0.08925011,0.124699295,0.14674596,0.14735354,0.1356865,0.12315604,0.11935201,0.123240925,0.13429415,0.14751597,0.15851407,0.15981726,0.15093775,0.13684319,0.12318349,0.109527074,0.091815226,0.07237586,0.061465632,0.07102797,0.10162455,0.14043297,0.1683325,0.17276144,0.15321474,0.11936372,0.08564102,0.06614486,0.06863089,0.090715654,0.120887645,0.14733265,0.16166328,0.16065909,0.14299129,0.113720745,0.083318084,0.06487008,0.06616183,0.0869655,0.12009891,0.15201674,0.16853398,0.16002999,0.13004658,0.09226239,0.06310841,0.05279461,0.06321161,0.08937106,0.1198779,0.13932486,0.13692226,0.114969134,0.08961088,0.07681959,0.08117064,0.09232127,0.09736112,0.09025189,0.07808209,0.0725973,0.08276551,0.107782446,0.14025848,0.17086965,0.19028996,0.1934806,0.17872995,0.15362066,0.12647521,0.1063916,0.09428573,0.08862912,0.08400976,0.0766989,0.06510706,0.05174674,0.041951433,0.03859341,0.040069234,0.040084854,0.034736402,0.025358245,0.01929319,0.02430515,0.045072217,0.07907242,0.118346006,0.15030445,0.16674654,0.16552967,0.15529273,0.14545505,0.14220853,0.14162195,0.13546482,0.11762457,0.089137405,0.057754356,0.03196392,0.017943168,0.017317906,0.027755568,0.043862347,0.05855001,0.068885826,0.077028595,0.0917494,0.117127866,0.15226115,0.18517499,0.20756291,0.21246566,0.20486945,0.18980885,0.17655326,0.168348,0.16576622,0.16389847,0.1578555,0.1482681,0.14036673,0.1417857,0.15058126,0.15902232,0.15670125,0.14535107,0.13405925,0.13259734,0.13846464,0.14106213,0.13055222,0.10816019,0.08598298,0.08156377,0.105324365,0.1530289,0.2031631,0.2324512,0.23031233,0.20831317,0.18754423,0.18240678,0.18926622,0.19695522,0.19943194,0.20295061,0.21001273,0.21279144,0.19565056,0.15826783,0.118595004,0.10028622,0.10965825,0.13185942,0.14909376,0.15570356,0.1621785,0.17462246,0.18999092,0.19478314,0.18439613,0.16065688,0.13302381,0.10776332,0.09238396,0.092070915,0.107722044,0.13247049,0.15416242,0.16398107,0.16064858,0.15111358,0.14380889,0.1409136,0.13846003,0.13049737,0.11926665,0.10962048,0.10575542,0.10467746,0.10732665,0.118063055,0.14271154,0.17430031,0.19760339,0.1970868,0.17421676,0.14534557,0.13272078,0.14455174,0.17020655,0.18815781,0.18297301,0.15547408,0.11860713,0.09010824,0.07990978,0.08872825,0.106358945,0.12384564,0.13531058,0.1415305,0.14136316,0.13435009,0.11898748,0.097449265,0.073463306,0.055621117,0.055359136,0.08032224,0.12460825,0.16575782,0.18046552,0.16093819,0.12508847,0.09898963,0.0993422,0.11976864,0.14336227,0.1559114,0.15583424,0.14970116,0.14475589,0.14717859,0.1574986,0.17257029,0.18035083,0.17112674,0.14043225,0.09785578,0.05825073,0.037463516,0.044112563,0.075730406,0.11988417,0.15639359,0.17204732,0.16181849,0.13386117,0.098668836,0.07013393,0.058311623,0.06541061,0.081497945,0.08942303,0.07978126,0.055559915,0.030716285,0.016983887,0.021350324,0.04287587,0.07434309,0.1026141,0.11750186,0.12253455,0.13322707,0.16455114,0.21270363,0.26072687,0.28940013,0.2955949,0.28608814,0.27218568,0.25762817,0.2413341,0.21840982,0.18772745,0.15372224,0.12736642,0.116622485,0.12067164,0.12773888,0.1277091,0.119599395,0.11403518,0.12044705,0.13858308,0.15657417,0.16150554,0.14999998,0.12846461,0.10654724,0.08849055,0.07594415,0.07226876,0.08228752,0.10855842,0.14559276,0.18727231,0.22695272,0.2617989,0.28622785,0.29445273,0.28116438,0.24632545,0.1967308,0.1469086,0.11183766,0.098792665,0.10127256,0.10899957,0.11685235,0.12768966,0.14257307,0.15835743,0.17184319,0.18492305,0.19857202,0.20786755,0.20399947,0.18358646,0.15172315,0.11827728,0.093986206,0.08707758,0.10134331,0.13017957,0.16006796,0.17715003,0.17953216,0.17450882,0.17244272,0.17361252,0.17154723,0.15776698,0.13349305,0.109206684,0.09947387,0.11491553,0.15247552,0.20028912,0.23777111,0.2539015,0.24488993,0.2206902,0.18837976,0.15368205,0.1172416,0.08551016,0.067498945,0.07099042,0.094011545,0.12698166,0.15923584,0.18432105,0.19941443,0.20133442,0.18918848,0.16905004,0.15180449,0.14392087,0.14107989,0.13820158,0.13689412,0.14207776,0.15003794,0.15026607,0.14055593,0.13168837,0.13624306,0.15350752,0.17258292,0.18473344,0.18833338,0.18458562,0.17307019,0.15516457,0.13685991,0.12711579,0.13249701,0.15235583,0.17532188,0.18679553,0.17915468,0.16514973,0.16433279,0.18851249,0.22495544,0.25454172,0.264874,0.2636474,0.26109263,0.263346,0.26269808,0.25174794,0.22509076,0.18949418,0.15539739,0.13525008,0.13199131,0.1399107,0.14829528,0.14943759,0.14235558,0.12923218,0.11413276,0.10016706,0.09073911,0.087388076,0.091183096,0.10204783,0.12013939,0.14329429,0.17019673,0.19873782,0.22662036,0.2452919,0.24489991,0.2220689,0.18809028,0.16207868,0.1568044,0.16850019,0.18153228,0.1818918,0.16879481,0.15358593,0.14733689,0.14920653,0.1459502,0.12805031,0.10074779,0.084297396,0.091190286,0.116154246,0.13475583,0.12989648,0.10172226,0.07262691,0.066613935,0.09456801,0.1449116,0.19066636,0.2103023,0.19855402,0.16910402,0.13599046,0.10757483,0.08465076,0.07070016,0.06994871,0.08197942,0.09620232,0.0985525,0.08279328,0.05721246,0.04067287,0.05253159,0.10038339,0.17211866,0.2394737,0.27395463,0.26665738,0.22780012,0.1770569,0.1260661,0.08418671,0.05949834,0.06359147,0.09546291,0.13907696,0.16722935,0.1662274,0.1452056,0.12969391,0.13587274,0.15919794,0.18068679,0.18502869,0.16869557,0.13711847,0.099372506,0.06521224,0.04463783,0.04221088,0.05701379,0.080652356,0.10643142,0.12635575,0.13795446,0.13663189,0.12410427,0.10238249,0.08086722,0.06829662,0.07224878,0.092207514,0.120799504,0.14828837,0.16500969,0.1662978,0.14972423,0.12007461,0.08523927,0.057946894,0.048656363,0.06315098,0.097685546,0.14082226,0.17858224,0.20263672,0.21153237,0.2095984,0.19683999,0.1724236,0.13533762,0.096413724,0.07076389,0.06938735,0.08710765,0.10929879,0.12807035,0.14886738,0.18077023,0.21828587,0.2440077,0.24786079,0.2404827,0.24359836,0.26365426,0.28854135,0.2991544,0.2917708,0.2711976,0.24159771,0.1988082,0.14542529,0.09745004,0.08102655,0.11059501,0.17859666,0.25439283,0.3071569,0.32179114,0.30838647,0.28577057,0.26873907,0.25902662,0.25328353,0.24515967,0.23023808,0.20333229,0.1661983,0.12572694,0.097737186,0.09415928,0.11914805,0.15786159,0.18743743,0.18732607,0.15811795,0.119697034,0.09867091,0.10663518,0.13127066,0.14808477,0.14162777,0.121588625,0.11196967,0.13344267,0.18263924,0.23991103,0.27762765,0.28220972,0.25340307,0.20700037,0.1586944,0.11942199,0.09050202,0.07133428,0.06297854,0.06662819,0.079441816,0.09544852,0.111862026,0.13060124,0.1525435,0.17100616,0.17576088,0.16212836,0.1355721,0.107047744,0.08767456,0.087112755,0.10981766,0.14785403,0.17964457,0.18228908,0.15015689,0.09822757,0.05000426,0.020763274,0.01488346,0.031184344,0.06489668,0.10410869,0.13080116,0.13359962,0.11979479,0.11009235,0.12217172,0.15483375,0.19409645,0.22326915,0.23632276,0.23490407,0.2245295,0.20593995,0.17655347,0.13519238,0.09061307,0.058770355,0.05613904,0.08428969,0.13168178,0.17538826,0.2019816,0.20978417,0.21424694,0.22780704,0.24984999,0.25968575,0.23635453,0.17806678,0.10655425,0.048883628,0.019714093,0.019893093,0.045382068,0.08659029,0.12704428,0.14411084,0.12874277,0.08917061,0.04990806,0.032527238,0.052986234,0.113395475,0.20074408,0.2845538,0.33503738,0.34531343,0.33766797,0.34344637,0.37321857,0.4080367,0.41555718,0.3787239,0.3110635,0.24651344,0.21387787,0.2142659,0.22407782,0.21732247,0.18978597,0.16015507,0.1495994,0.15861578,0.16733287,0.15382996,0.116006814,0.06930398,0.03458139,0.02264061,0.035602704,0.06843071,0.11165613,0.14869899,0.16305138,0.14647387,0.107776545,0.066103585,0.0418674,0.04533143,0.07463557,0.117135964,0.1543953,0.17228109,0.1677597,0.1518647,0.13740312,0.1289969,0.119235106,0.09992065,0.07119952,0.04261752,0.024356773,0.020214884,0.025913954,0.03418061,0.03950144,0.042113572,0.043813616,0.04527234,0.043180656,0.037271548,0.032205913,0.036232617,0.051949486,0.074305184,0.096076615,0.11734766,0.14324896,0.17585982,0.20498334,0.21883999,0.21220882,0.19470812,0.17862375,0.17338945,0.17911015,0.19066565,0.20012952,0.20023705,0.18760067,0.16287374,0.13239214,0.10284539,0.07939386,0.06045474,0.043549195,0.028051382,0.01955241,0.024425507,0.045636673,0.07927408,0.11820191,0.1551324,0.1880012,0.21629111,0.24252112,0.2633227,0.27277002,0.2626715,0.2351277,0.2046106,0.1864804,0.18317755,0.17848416,0.15826711,0.12404258,0.09513512,0.090025455,0.11270372,0.15284586,0.19262211,0.21784991,0.22100665,0.20556219,0.18058397,0.1548331,0.13132866,0.10877848,0.08843847,0.07361736,0.06833514,0.07116423,0.07941846,0.09196084,0.11116654,0.13937302,0.1718384,0.19973706,0.21211301,0.2086914,0.19438714,0.17920297,0.16642886,0.1587975,0.1552297,0.15418448,0.14895557,0.13532996,0.11650121,0.104074456,0.10717642,0.12339863,0.14042462,0.1460229,0.13582002,0.11286104,0.08357648,0.05641761,0.039895628,0.03950262,0.051398903,0.064356714,0.06611313,0.05420589,0.03663793,0.02731481,0.035676148,0.060415417,0.089517124,0.10821814,0.11259126,0.11350804,0.1278987,0.16272561,0.20656367,0.2404582,0.24747342,0.22752851,0.19014226,0.15502985,0.13527279,0.13591985,0.14836305,0.16110373,0.16672505,0.16600865,0.16374622,0.16344772,0.16577478,0.17114662,0.1786815,0.18652667,0.18816793,0.17927794,0.15982944,0.13984807,0.12983757,0.13547754,0.14791502,0.1542744,0.14254183,0.11551807,0.08230301,0.0586088,0.053365517,0.07224787,0.11040777,0.15809982,0.19782318,0.21499509,0.20111614,0.16208695,0.112102546,0.0701725,0.049974557,0.05750711,0.08644136,0.1225538,0.14850406,0.1549362,0.14250052,0.12234146,0.105254985,0.09620129,0.08986139,0.07988441,0.06609476,0.05606976,0.055342164,0.060352337,0.061947927,0.05530117,0.045395717,0.041339587,0.048054922,0.06142524,0.073199965,0.07668274,0.071745336,0.061775144,0.050930317,0.040695705,0.032965753,0.031048387,0.03952764,0.057448957,0.07885224,0.09746975,0.11730359,0.14591421,0.18348221,0.21321577,0.21683262,0.1898349,0.147519,0.10941001,0.088802,0.088555396,0.106082685,0.13322623,0.15849793,0.17075057,0.16401845,0.1410263,0.110819995,0.087274365,0.07837242,0.08323175,0.09035418,0.091478296,0.085071616,0.07637153,0.06712849,0.05774541,0.051691193,0.058731053,0.086036086,0.12866946,0.17030214,0.19399081,0.19509198,0.18035287,0.16155483,0.1436551,0.1262313,0.105454765,0.08337363,0.0662438,0.061521262,0.07053559,0.08870167,0.10990983,0.12913078,0.14227228,0.14525707,0.13665055,0.11973188,0.10011765,0.08315001,0.07036955,0.06102677,0.052701037,0.045344133,0.04047883,0.039304808,0.039191004,0.036672127,0.031601045,0.029740589,0.036978055,0.055118557,0.07782797,0.09782511,0.109603845,0.116761684,0.12451456,0.13834517,0.15372418,0.1634971,0.15833385,0.14085868,0.12101102,0.115524836,0.13031878,0.15729149,0.17656086,0.17289984,0.14723286,0.11371657,0.08905979,0.0782938,0.07572927,0.06977143,0.056301598,0.041359402,0.03976057,0.06318351,0.10905185,0.15897371,0.18619753,0.17748976,0.13954623,0.10044411,0.08783663,0.11508288,0.16987045,0.22321065,0.2498908,0.24415249,0.22106193,0.1983249,0.18444763,0.17737347,0.1704772,0.1594429,0.14169158,0.12287385,0.11086825,0.113680996,0.12725326,0.13983399,0.13712744,0.11494222,0.081033185,0.05099531,0.039633375,0.05405278,0.09478354,0.15527694,0.22386777,0.281575,0.30755234,0.29082313,0.2389587,0.18028867,0.14243601,0.13893853,0.15765418,0.17959417,0.18969603,0.18634093,0.17258568,0.15109266,0.12335706,0.09119151,0.060603496,0.039414506,0.0375984,0.059043884,0.097053684,0.13255443,0.14762029,0.13923956,0.12266605,0.11562839,0.12562953,0.14888382,0.18152845,0.21942376,0.25611177,0.28115818,0.29045728,0.28380144,0.26543805,0.23760283,0.2140312,0.20583327,0.21948166,0.23781937,0.24579792,0.23206769,0.2025084,0.16127943,0.11552968,0.071798585,0.03979364,0.026526442,0.032333624,0.054421335,0.0861123,0.12180974,0.15030558,0.163078,0.1545298,0.13224962,0.106426544,0.08521179,0.06686418,0.0484103,0.030562492,0.01928564,0.020125316,0.032317933,0.048651803,0.05813305,0.054790203,0.040665988,0.025448805,0.018059313,0.022539997,0.037360277,0.059552103,0.084293276,0.10457569,0.11141813,0.10375006,0.09214265,0.094186716,0.11591027,0.14482339,0.15877098,0.14785098,0.12277002,0.10531955,0.1107166,0.1384133,0.17844592,0.21573883,0.23872076,0.23597012,0.20764019,0.16276683,0.12384653,0.109448366,0.124792814,0.15351285,0.17205136,0.17047201,0.16120143,0.16526528,0.1901328,0.22158772,0.2400881,0.23359835,0.2093237,0.17839956,0.15370196,0.13430668,0.116565764,0.09262941,0.06448051,0.037350565,0.020509146,0.018366681,0.03150097,0.052870203,0.07134863,0.07555908,0.063273676,0.04204504,0.026372379,0.029092314,0.05732778,0.10682464,0.16174598,0.2006243,0.21053813,0.1939301,0.16385712,0.13069694,0.09831219,0.06729767,0.041747253,0.027304143,0.02754791,0.039542723,0.05631878,0.07092143,0.082120486,0.09465004,0.11363254,0.13933808,0.1636709,0.17770834,0.17377825,0.15218611,0.11684781,0.07836974,0.047414917,0.032902483,0.033669066,0.042414706,0.049484786,0.05433316,0.061835874,0.080215424,0.10812559,0.13851678,0.1583097,0.16075157,0.14510061,0.11865458,0.08896935,0.061453342,0.040129703,0.030885166,0.044639174,0.08882081,0.16305311,0.24995369,0.32705036,0.37137786,0.37488258,0.3394803,0.27893218,0.2085994,0.14299084,0.091121644,0.058212727,0.047805395,0.058009837,0.079090394,0.09511855,0.09781339,0.0936332,0.09637191,0.109884895,0.122491635,0.12229791,0.11371547,0.11412809,0.13388154,0.16030075,0.17021964,0.14880739,0.10496142,0.05923676,0.031570952,0.029985124,0.0516956,0.08434293,0.10974271,0.113472104,0.09372768,0.064784735,0.04611923,0.049886942,0.07100827,0.09258779,0.09673325,0.08037742,0.05547348,0.0419877,0.050383974,0.07565482,0.10125857,0.112977006,0.10982563,0.09888592,0.087990694,0.07715135,0.067957364,0.064039595,0.07137164,0.08856487,0.11037362,0.13132091,0.14910585,0.15927245,0.15509184,0.1316341,0.094078116,0.054291308,0.025058815,0.011725322,0.015900781,0.0365388,0.07073596,0.10738468,0.13066582,0.12784533,0.10108181,0.06453739,0.0360014,0.02425033,0.028376678,0.03990371,0.050406843,0.054646593,0.054919172,0.05964594,0.079335384,0.11609588,0.15952967,0.19083197,0.19975154,0.18897359,0.17033036,0.14735949,0.11893321,0.08324117,0.048848897,0.025691405,0.022558963,0.0405146,0.075475655,0.113975346,0.13943212,0.1389616,0.1156,0.08260342,0.054944485,0.036605436,0.025076976,0.01577669,0.008424472,0.0035482629,0.0014231956,0.00076892116,0.0013171715,0.004535382,0.013711297,0.030161558,0.05014074,0.06580185,0.07298367,0.07871988,0.09537134,0.12845778,0.16366191,0.17928201,0.16052975,0.11631728,0.06770376,0.037590925,0.03765954,0.06962868,0.12465375,0.18418442,0.22617525,0.2348816,0.2106167,0.16694738,0.12154736,0.08618862,0.063668154,0.051256012,0.04492559,0.042535603,0.042647418,0.04434614,0.04631877,0.048864648,0.051977172,0.055143904,0.05509879,0.049460784,0.03890303,0.029418766,0.02950433,0.045167804,0.07662552,0.11650735,0.15375651,0.17684267,0.17993017,0.16413611,0.1366594,0.105084725,0.074575245,0.047624428,0.026327876,0.013169049,0.011293671,0.02466611,0.05522422,0.09870565,0.14227396,0.1698242,0.17306828,0.15708758,0.13957949,0.13470036,0.14545804,0.15922767,0.1656517,0.16301388,0.16039246,0.16095531,0.15905933,0.14389165,0.113364816,0.07531046,0.044017136,0.031205595,0.044405665,0.081840634,0.13296278,0.17856216,0.20381731,0.20495653,0.19080228,0.17098208,0.14860801,0.12170244,0.09027631,0.06124735,0.04449181,0.04596447,0.06491967,0.09433955,0.12754047,0.15722132,0.17741805,0.18168487,0.16797371,0.14063075,0.10826436,0.07874847,0.054647025,0.035547793,0.020508267,0.010135271,0.005987927,0.010192376,0.026720218,0.058879364,0.108247496,0.16796768,0.22472548,0.26008034,0.2629897,0.23406689,0.18601686,0.13430673,0.0921334,0.069434196,0.073079415,0.10356897,0.15259737,0.20421393,0.24114244,0.25004995,0.22657712,0.17792149,0.12103077,0.075584255,0.052588034,0.051672544,0.06497961,0.08950678,0.12469032,0.167777,0.20181395,0.20906569,0.18025482,0.12845956,0.07382261,0.034025412,0.012384888,0.0055776983,0.008566325,0.019166721,0.034124445,0.04812209,0.057111144,0.06502678,0.08277816,0.11662787,0.15874694,0.18817848,0.19036321,0.16758019,0.14218113,0.13715799,0.1648209,0.21583773,0.2693418,0.3024281,0.30575863,0.28060222,0.23605776,0.17917521,0.120930426,0.074061714,0.05212407,0.056848485,0.07703062,0.0940756,0.09744812,0.09106734,0.08869382,0.09646978,0.107540004,0.10581243,0.08597004,0.054404747,0.02633778,0.010248887,0.009948722,0.026656434,0.06140666,0.109503545,0.15693603,0.188448,0.19615789,0.18470997,0.16409145,0.14144573,0.11851113,0.092790365,0.065283634,0.040712595,0.029941523,0.0420672,0.07894507,0.12837456,0.1681298,0.1785943,0.1565659,0.11739614,0.084254734,0.0704526,0.07536365,0.08823923,0.10394242,0.12112778,0.13861938,0.14531629,0.13138191,0.097029984,0.05657099,0.024887078,0.007912249,0.001905953,0.0009918154,0.0028701506,0.009393771,0.024165308,0.047566246,0.074041165,0.09316895,0.096603304,0.08351386,0.06110933,0.03983926,0.02878382,0.03254525,0.05087984,0.077102095,0.101583,0.11334294,0.10819206,0.088083446,0.063819595,0.046329137,0.04482448,0.05695863,0.0743899,0.08439986,0.08556009,0.08217251,0.08484142,0.09656459,0.11899724,0.14626376,0.16988252,0.17719851,0.16424847,0.13683783,0.10678494,0.07980773,0.056338664,0.035293568,0.019689446,0.013399865,0.019854696,0.038137764,0.06357802,0.0867204,0.09973743,0.09853366,0.087352306,0.07456106,0.074611455,0.09742262,0.14492752,0.199387,0.23924124,0.24837299,0.23370923,0.21021621,0.19107784,0.1752538,0.15833826,0.14132224,0.1322205,0.13530852,0.14291187,0.14074975,0.12088346,0.089406304,0.061986133,0.053793002,0.07021377,0.102643885,0.13260195,0.14523278,0.14364354,0.1447797,0.16392814,0.19819622,0.23500852,0.2625322,0.27864686,0.28256306,0.27282023,0.24670666,0.20543467,0.15490487,0.1068339,0.075431265,0.07046455,0.08933417,0.117881574,0.138602,0.14098705,0.123649426,0.09409723,0.06318405,0.042479385,0.035985634,0.039706532,0.043080132,0.039360452,0.028374178,0.016027147,0.0069849403,0.002623817,0.0025582418,0.008690081,0.028257506,0.06807861,0.1302517,0.20150268,0.2613599,0.28699926,0.27226582,0.22423048,0.16241716,0.103050075,0.057775926,0.03034445,0.021219552,0.025874695,0.036571197,0.043388437,0.04092898,0.030418402,0.019251768,0.01434949,0.017665416,0.025246039,0.030922567,0.032453638,0.0344654,0.045609593,0.07078436,0.10391847,0.13106965,0.13799296,0.121650316,0.08932897,0.054736834,0.02808026,0.014790061,0.016832175,0.035499908,0.07079463,0.11491072,0.15335159,0.17031924,0.16400678,0.14844282,0.14311628,0.15778542,0.18677609,0.21915042,0.24218626,0.24650715,0.22438778,0.17853628,0.12130017,0.070851855,0.041319862,0.041266493,0.07165422,0.12493217,0.18082595,0.21424036,0.20763433,0.16452749,0.10622749,0.05899833,0.039974127,0.052046675,0.08732434,0.13250951,0.173508,0.19962107,0.20278855,0.18264191,0.14271854,0.09641862,0.05639753,0.034723405,0.030998947,0.038561303,0.045517042,0.045800943,0.038859498,0.029146625,0.02031224,0.013968654,0.011132892,0.014851102,0.031818528,0.0670424,0.11742995,0.1664931,0.1927896,0.18379076,0.14723353,0.106132686,0.082266,0.082670085,0.09788067,0.11501068,0.12649636,0.13378857,0.13888489,0.14115639,0.13580242,0.11906431,0.09160751,0.059624303,0.03301907,0.021265944,0.031864583,0.06643105,0.11782221,0.16909118,0.20176099,0.20734859,0.1914345,0.16739438,0.14472695,0.12507893,0.104422785,0.07988993,0.053607192,0.03167001,0.020275628,0.02065407,0.029422835,0.040753428,0.049625117,0.052917216,0.049620803,0.043268215,0.040534366,0.047006022,0.060016107,0.06937247,0.065928996,0.049541723,0.028941706,0.01350795,0.007873126,0.011497356,0.021159487,0.032140046,0.038934413,0.038002275,0.029873967,0.018890008,0.010554579,0.009270468,0.018297836,0.037846625,0.06492497,0.092190616,0.111725025,0.116980106,0.10569016,0.08164063,0.05430694,0.0365535,0.03667995,0.05504794,0.083236925,0.112209715,0.13705426,0.15778065,0.17219347,0.17336889,0.15561499,0.12336851,0.09274804,0.0787308,0.087331474,0.11055132,0.1376846,0.15480472,0.15391912,0.13028905,0.092104234,0.051865473,0.023505395,0.012042473,0.0178462,0.03600568,0.059410706,0.0779577,0.08671049,0.09015169,0.102415554,0.13359661,0.18199126,0.23203349,0.26684502,0.27604872,0.25915405,0.22343676,0.17799377,0.13291834,0.09328852,0.06499597,0.05218314,0.057373095,0.07399105,0.08925432,0.0956498,0.09704659,0.10612694,0.12668191,0.15132888,0.16492832,0.16372412,0.15717211,0.16169895,0.18295358,0.21090637,0.23243658,0.24304013,0.25174978,0.26301327,0.2737901,0.2715783,0.25143757,0.21550374,0.17724563,0.15056431,0.14571023,0.1585807,0.17473815,0.17690463,0.15853286,0.12707423,0.10142227,0.09817388,0.123527385,0.16661389,0.21265836,0.24645464,0.2641946,0.26373413,0.24875225,0.21929903,0.1774447,0.12710634,0.08088269,0.056676164,0.06845248,0.110284984,0.15987204,0.1897679,0.19884956,0.2028677,0.22206123,0.24759679,0.2569954,0.2314753,0.17663729,0.11419648,0.06560906,0.043607216,0.04605007,0.06546446,0.09363677,0.13110672,0.17809974,0.22536664,0.25175574,0.23902725,0.18867171,0.12202019,0.06684329,0.04105318,0.047371507,0.074492395,0.103691526,0.1177314,0.11165426,0.093934745,0.07839928,0.0709252,0.06760096,0.061806787,0.05378798,0.049956426,0.055547517,0.066947535,0.07514675,0.07364852,0.068416096,0.07155157,0.092443846,0.1240147,0.15176253,0.16291253,0.160775,0.15314034,0.14534207,0.13207929,0.111855954,0.09046938,0.08033272,0.08482347,0.09703019,0.105086945,0.1047372,0.10008281,0.0984857,0.1027669,0.11003443,0.11549588,0.11884693,0.12520017,0.13950692,0.1605131,0.18020648,0.19469959,0.20638268,0.22496605,0.2510047,0.2762766,0.28300574,0.26240018,0.21855791,0.16841328,0.12646906,0.096709915,0.073395155,0.050968315,0.029635804,0.01489476,0.012837415,0.029304286,0.064658605,0.111255884,0.15164591,0.17200266,0.17004134,0.1578507,0.14901787,0.15209913,0.1667663,0.18584657,0.1992491,0.19946241,0.1892799,0.17697836,0.17129527,0.17161842,0.1740851,0.1723774,0.16567667,0.15173793,0.13111246,0.10228909,0.07110311,0.045583498,0.037632424,0.05111717,0.082013346,0.11762872,0.1469066,0.16511603,0.17295425,0.1728208,0.16647977,0.15885659,0.15464802,0.15423685,0.15412143,0.15373486,0.16179265,0.18431862,0.21601231,0.23576468,0.22709449,0.18938577,0.1439568,0.114889026,0.118761934,0.15321553,0.20414805,0.24878095,0.2681838,0.25724474,0.22939222,0.20730753,0.20175636,0.2035352,0.19233339,0.1588323,0.11263281,0.073327206,0.05304843,0.049876202,0.05213617,0.049956966,0.040092114,0.026520802,0.01527927,0.013535935,0.029447237,0.07011315,0.13303117,0.19943102,0.24019428,0.2349932,0.18780978,0.12530282,0.078365095,0.063787036,0.07868547,0.10589006,0.12723345,0.13082379,0.11823856,0.09933921,0.08771267,0.08860523,0.096681304,0.098977424,0.0867601,0.06209619,0.03511889,0.015250929,0.0049737026,0.0023935712,0.005818233,0.01778357,0.040844385,0.07476026,0.11100278,0.13881695,0.14891392,0.14384411,0.13366155,0.13041125,0.13519645,0.13969497,0.13347805,0.11484929,0.09010893,0.06783997,0.053175107,0.04778244,0.049859922,0.054232225,0.05420889,0.047113955,0.03797051,0.038075298,0.055986594,0.09228376,0.13558942,0.17216116,0.19100429,0.19251263,0.18172528,0.16390832,0.13917069,0.10699874,0.07118291,0.03901168,0.016964419,0.005583769,0.0015842668,0.0010936732,0.0038901654,0.013186052,0.032918904,0.060878504,0.0885036,0.106414765,0.11683384,0.12932074,0.14894056,0.16358997,0.15593721,0.121151686,0.07371578,0.03376992,0.011703056,0.0067072907,0.014112879,0.029599441,0.04830116,0.06334203,0.072554596,0.07876452,0.091222264,0.11420923,0.14865611,0.18409443,0.20766258,0.20351438,0.16946237,0.11585028,0.0634469,0.02655209,0.00813667,0.0020352737,0.0042276247,0.018147914,0.054921076,0.11938385,0.20486154,0.28737187,0.34535062,0.36139384,0.33494583,0.27161902,0.19382305,0.12987058,0.10712486,0.12995754,0.17591475,0.20928971,0.20341188,0.15962136,0.098988034,0.04874286,0.023617258,0.028698593,0.061604608,0.11630861,0.18006934,0.2363261,0.2747285,0.29331923,0.30139804,0.30438536,0.30648127,0.29957592,0.27962786,0.2451246,0.20852752,0.18069716,0.16551103,0.15643902,0.14701654,0.13688765,0.12848744,0.12258178,0.118638135,0.1158249,0.11456245,0.110586844,0.10000944,0.07957528,0.05402939,0.02989606,0.013535157,0.00675066,0.010822224,0.027783563,0.05760522,0.09354942,0.123333514,0.13941322,0.14565325,0.1536563,0.16965641,0.18856108,0.19816786,0.19047415,0.16643536,0.1352531,0.10757909,0.09113916,0.08718393,0.091608085,0.09735021,0.09917999,0.09659651,0.09384858,0.09475418,0.098835796,0.100280546,0.095175244,0.08492903,0.07922948,0.08612532,0.1086717,0.1360475,0.15436666,0.15095551,0.13128659,0.1107812,0.108366735,0.12662016,0.15482791,0.1774439,0.18847694,0.19190948,0.19353525,0.1942463,0.18962236,0.1751619,0.14977503,0.117008716,0.08522693,0.064511485,0.062253475,0.076978035,0.09929285,0.1165841,0.121347636,0.11351194,0.09970198,0.08670201,0.07744626,0.06912597,0.059371322,0.05149896,0.05475387,0.075383484,0.10793633,0.13723904,0.14855815,0.14028807,0.12249521,0.108287565,0.10163791,0.099043876,0.09783132,0.102216095,0.11649736,0.13660984,0.15069838,0.15047316,0.13719694,0.119218685,0.104795486,0.09818262,0.10085616,0.109790646,0.1217239,0.130843,0.1351793,0.13308595,0.12923232,0.1284657,0.13531113,0.14447957,0.14551441,0.12892263,0.09890908,0.071321316,0.06447562,0.083572336,0.11724979,0.14346236,0.14559399,0.122448064,0.090195484,0.07317793,0.09135137,0.15165493,0.23700254,0.31286693,0.33924484,0.3051473,0.23485442,0.17423384,0.15173225,0.16254938,0.18094571,0.18302906,0.16235057,0.12455055,0.082167454,0.045861516,0.023249304,0.017343482,0.027770707,0.05114996,0.080247186,0.1057779,0.11963731,0.118545614,0.10498107,0.0847873,0.06636607,0.055713713,0.054174628,0.05534636,0.051586006,0.039785806,0.024170155,0.0114752315,0.005896911,0.008788607,0.019748839,0.037591707,0.057849854,0.07363991,0.07798945,0.068941616,0.050445203,0.030179419,0.014751435,0.0070031933,0.0066564134,0.01200841,0.022294363,0.03748553,0.057421934,0.07882887,0.0944028,0.097033314,0.08551327,0.06835723,0.056315836,0.054528773,0.057408903,0.05647349,0.04846107,0.038578328,0.03392456,0.0366066,0.04296577,0.04808836,0.0501076,0.04961215,0.048358377,0.04791778,0.050390404,0.05649084,0.0651505,0.07271177,0.07542828,0.07053139,0.059239402,0.046813805,0.040385235,0.04245003,0.0482711,0.049383666,0.041611757,0.027795061,0.014951534,0.008666608,0.011677522,0.023861209,0.04220064,0.06065761,0.07151855,0.07044111,0.05783907,0.039752007,0.02287363,0.013416289,0.014180248,0.024461811,0.038750578,0.048696246,0.048193026,0.037406903,0.023331707,0.014949799,0.01937076,0.03837265,0.06738608,0.096483774,0.1150162,0.118712634,0.109894365,0.0952942,0.07858511,0.06242856,0.04845847,0.040163066,0.039563786,0.045972366,0.056246817,0.064829975,0.06677437,0.05902119,0.045244724,0.033088025,0.0302082,0.03754863,0.050921638,0.06397831,0.07280382,0.07437476,0.06773312,0.053575844,0.03706896,0.024612896,0.02104436,0.025732236,0.033660263,0.038514484,0.036647726,0.02874245,0.018631237,0.012677153,0.018810377,0.046229754,0.09519448,0.15300162,0.19451104,0.20497465,0.1885146,0.16429456,0.14331718,0.12340706,0.10114154,0.084192306,0.086108804,0.109124005,0.13963018,0.16006176,0.16365069,0.15642361,0.14710702,0.13715559,0.12276351,0.10120141,0.078980274,0.06496932,0.06479052,0.07219297,0.07785386,0.07475251,0.06656095,0.058945086,0.056022625,0.054946024,0.055659115,0.061860204,0.08079643,0.110000074,0.13691047,0.14396141,0.124788076,0.08763186,0.050897937,0.030885465,0.036846638,0.06875574,0.11741886,0.1650794,0.19446169,0.20060392,0.19498377,0.1945405,0.20638525,0.22255187,0.22954446,0.219711,0.19710366,0.16902721,0.14063878,0.11054724,0.08112672,0.06020573,0.06085201,0.0864774,0.12787773,0.16417609,0.17860794,0.16480444,0.1302363,0.087877125,0.0510861,0.029478604,0.030316422,0.058316063,0.112939216,0.18301016,0.24782844,0.28497037,0.28206083,0.24176554,0.17881061,0.1127584,0.059139673,0.025421523,0.00925507,0.0040180837,0.0029689027,0.0028526566,0.002687026,0.0025956084,0.0026488716,0.0027862194,0.002872579,0.002797258,0.0032105215,0.0064314655,0.017052187,0.0389141,0.0711323,0.10577342,0.13377397,0.15170425,0.16628788,0.18842797,0.22629885,0.27445891,0.3134385,0.31652308,0.2715018,0.19137019,0.1078217,0.04791966,0.020206148,0.019363848,0.03584673,0.061833475,0.08607504,0.09855765,0.093693845,0.08028492,0.072844304,0.085950196,0.11847485,0.15805306,0.18269314,0.17946513,0.1470197,0.10116392,0.060119156,0.038686503,0.03737777,0.047592428,0.055291016,0.053233728,0.04381155,0.038670883,0.04646795,0.06634373,0.08559269,0.091471285,0.08007948,0.061678033,0.05276986,0.06438339,0.09486243,0.12974872,0.1540212,0.15826674,0.14443038,0.11883998,0.090277456,0.0667346,0.055162054,0.058297534,0.07218635,0.088968866,0.10167911,0.10735009,0.10559695,0.09617623,0.08060219,0.06309564,0.05113663,0.048793584,0.054000337,0.05782113,0.053882223,0.0441853,0.04040064,0.05410565,0.086971104,0.12816493,0.16126244,0.17547321,0.16888265,0.14759551,0.120169364,0.09790111,0.08937794,0.09752535,0.11329339,0.12328421,0.11695171,0.097718656,0.07895904,0.07575977,0.08951769,0.10702714,0.10924065,0.08982404,0.057329357,0.028861025,0.01448986,0.016046017,0.027073836,0.04131498,0.05428949,0.068867885,0.08847049,0.112625055,0.13027507,0.130401,0.10977086,0.07835352,0.048645627,0.028268369,0.01650942,0.009917351,0.0075970716,0.012972038,0.032341167,0.06660735,0.10851631,0.14285286,0.15984225,0.15963624,0.15112485,0.13942073,0.12331551,0.09901569,0.06853718,0.039351672,0.021097181,0.01970466,0.037364334,0.06839281,0.10423818,0.13435681,0.15909916,0.1805471,0.20240468,0.2170055,0.22058548,0.21364653,0.2057615,0.20222773,0.20247106,0.20181662,0.19692147,0.18669666,0.16985805,0.14547384,0.11555912,0.08682551,0.06668427,0.05717742,0.054034635,0.05295715,0.05571851,0.06651705,0.08622524,0.10976881,0.13457744,0.15912122,0.17940722,0.183376,0.16341408,0.12542829,0.086521454,0.05977345,0.046799976,0.044636216,0.052343767,0.06853027,0.08506671,0.089199774,0.07556391,0.04994413,0.025782404,0.011665207,0.009600184,0.014757052,0.022043733,0.027078593,0.031165356,0.03805979,0.05210309,0.06926362,0.081101306,0.07821425,0.061439633,0.038739122,0.02218359,0.018548539,0.02779031,0.04268596,0.05367889,0.056485653,0.056640625,0.06809784,0.100049816,0.14968638,0.19975738,0.23328066,0.24012934,0.2236862,0.1919583,0.15598527,0.12566972,0.11071425,0.11549839,0.13371886,0.1506861,0.15138794,0.13268714,0.10184756,0.07203727,0.052019093,0.04521231,0.04845612,0.05539583,0.0597903,0.05893847,0.055055052,0.052279044,0.05392303,0.06070454,0.06947192,0.075908005,0.07534487,0.06927392,0.060760666,0.05395402,0.047420975,0.041399162,0.03889807,0.047199916,0.07084859,0.10785072,0.14919002,0.18090832,0.19147874,0.1784653,0.1511162,0.12263888,0.101744,0.09024585,0.08697075,0.08807069,0.08760325,0.07918521,0.06580003,0.06052516,0.0800255,0.12702824,0.1843319,0.22200425,0.21907866,0.17693846,0.116867684,0.06271108,0.027227076,0.010235684,0.0066083544,0.013249922,0.029333131,0.051201362,0.07004523,0.075648725,0.064924695,0.043889705,0.023267256,0.0096993325,0.003766912,0.0021675222,0.0021051217,0.0022571927,0.0030642983,0.005927485,0.013083753,0.024075724,0.03545066,0.040625874,0.03692548,0.026145726,0.014709688,0.006656982,0.0031105888,0.0021803898,0.002368864,0.0027724525,0.0031120575,0.003911812,0.007009007,0.015487559,0.03158462,0.0553586,0.08514008,0.117096424,0.14473723,0.15723681,0.14696263,0.115059644,0.0747121,0.040792704,0.022110112,0.017956713,0.023126476,0.031496193,0.038229335,0.04227416,0.049050566,0.06975167,0.11131078,0.16886912,0.22334634,0.25595903,0.25638336,0.228877,0.182853,0.13059494,0.08363062,0.054510564,0.05249409,0.07739586,0.115513854,0.144516,0.14837418,0.12980211,0.108013086,0.10277151,0.11920852,0.14859305,0.17730093,0.19692536,0.20419991,0.20155124,0.19272172,0.18154019,0.1672403,0.14833786,0.12652336,0.108628236,0.10033051,0.10009646,0.10048348,0.09542472,0.08432537,0.070718326,0.05689944,0.045151968,0.03850851,0.04086299,0.051675458,0.064162515,0.07059703,0.06807406,0.060488623,0.05330373,0.050091375,0.053308632,0.062907904,0.07660142,0.0865145,0.087263875,0.078226455,0.06642223,0.060009707,0.06448039,0.08230702,0.110601224,0.14413452,0.1721468,0.18653691,0.18248348,0.1642467,0.13922083,0.115055986,0.09489009,0.07896343,0.06607511,0.055675764,0.047044907,0.039631154,0.03249487,0.026452975,0.024596207,0.031708047,0.051571775,0.08291306,0.1202093,0.15432411,0.17826825,0.18719502,0.18250178,0.16991477,0.15801178,0.14942384,0.13847096,0.116582125,0.083419405,0.050530434,0.03358369,0.042676937,0.07494134,0.117987,0.15361466,0.1697526,0.16160594,0.13507079,0.098215915,0.061550487,0.032288935,0.015102944,0.008941926,0.010649876,0.016913189,0.027250143,0.039899062,0.051129457,0.053885106,0.046251234,0.03237585,0.024934351,0.035453666,0.06967168,0.11702863,0.15716575,0.16993344,0.15706415,0.13649018,0.12979676,0.1377147,0.14734745,0.14251803,0.12200431,0.09534022,0.07676343,0.07276826,0.07968298,0.08688393,0.086338334,0.07853905,0.07028049,0.06776292,0.07056281,0.0731417,0.07038111,0.06389696,0.060575005,0.06740028,0.0836142,0.10253101,0.11419395,0.114235066,0.103960745,0.0915122,0.084367454,0.08519565,0.090168215,0.09440621,0.09784895,0.10244537,0.10759318,0.10781393,0.10090175,0.090714484,0.084226005,0.082603306,0.081994586,0.07884058,0.07651707,0.082092695,0.10116255,0.13131838,0.1632785,0.18487884,0.18859993,0.17555912,0.15303074,0.12843835,0.10409572,0.079725124,0.056068406,0.036348548,0.023795014,0.01950518,0.02434948,0.038918447,0.06375533,0.09581595,0.12727873,0.14655632,0.14337063,0.11861074,0.08465364,0.059685785,0.05173066,0.056643665,0.06295369,0.06526265,0.06682893,0.075575866,0.09534797,0.12187514,0.14543253,0.15698546,0.15367466,0.14053698,0.12673414,0.12139049,0.12717183,0.14277823,0.16375573,0.18640478,0.20340551,0.20499416,0.18387555,0.1422655,0.09356704,0.053962603,0.036571488,0.04465124,0.07356429,0.110722564,0.14148818,0.15331036,0.14149578,0.11082727,0.07415105,0.046582296,0.038326662,0.04905477,0.0688941,0.085837685,0.094969064,0.10096839,0.1114222,0.12832904,0.14596893,0.15729852,0.16031921,0.15787522,0.1518807,0.13949905,0.11697715,0.086593896,0.058625117,0.0443453,0.04775365,0.0628232,0.0801784,0.09261911,0.09885275,0.09840535,0.0909743,0.07499102,0.053296655,0.031897295,0.019019006,0.018943423,0.030761674,0.04730789,0.059095174,0.059612364,0.050354853,0.04036354,0.038591918,0.047751028,0.061270524,0.07025678,0.06806982,0.056576576,0.043170918,0.037909742,0.045848247,0.06413543,0.08357527,0.09476317,0.09487594,0.08642333,0.07510972,0.06566665,0.06518344,0.081861995,0.11927297,0.16915424,0.21134256,0.2286055,0.21676739,0.18908899,0.16220875,0.14623123,0.13846062,0.12990697,0.11281275,0.08627818,0.05664533,0.033464182,0.028334187,0.050660204,0.105644844,0.18010826,0.24589492,0.26888573,0.24257968,0.18905282,0.14605823,0.12951277,0.12957914,0.124023,0.10422989,0.080451,0.069692664,0.079839975,0.102237165,0.121520944,0.12630637,0.11700266,0.09988168,0.083809085,0.07665845,0.08588701,0.11255605,0.14946088,0.18190603,0.19641908,0.18497562,0.14993,0.10188074,0.057563346,0.03171327,0.032625172,0.05703616,0.09113441,0.114836745,0.11491451,0.093402416,0.064843446,0.042756427,0.029860465,0.02349904,0.022555927,0.03355829,0.059886802,0.10094341,0.14537166,0.18272664,0.19989617,0.19183879,0.15816143,0.11113473,0.06719645,0.04246859,0.042625163,0.06284198,0.09038509,0.112922765,0.12386312,0.12469679,0.12180964,0.12326791,0.13575852,0.1617316,0.1960358,0.22683765,0.23871057,0.22360332,0.18370266,0.13589127,0.09590877,0.073417075,0.065063566,0.07091204,0.09597057,0.14433278,0.20353615,0.24676977,0.25301573,0.22111505,0.16907263,0.11745912,0.08109448,0.06749049,0.07912046,0.11353409,0.1625297,0.2136765,0.25262928,0.26721814,0.25363365,0.21902429,0.17811346,0.142794,0.11569589,0.09207901,0.06749102,0.044117477,0.028522873,0.02727882,0.03867239,0.054328248,0.061466854,0.056296308,0.045552284,0.04700781,0.07204535,0.11801245,0.16241328,0.18081887,0.16098775,0.11458402,0.06459958,0.032142214,0.02509807,0.040679965,0.069388665,0.09887126,0.11708655,0.117919795,0.105175376,0.094696976,0.102531396,0.13626075,0.18132098,0.21726884,0.22629923,0.21351437,0.1890111,0.16694556,0.1507374,0.14639515,0.1521346,0.16275679,0.1675991,0.16699444,0.17099404,0.18982638,0.22021689,0.2469724,0.25607443,0.24011993,0.20460413,0.16028956,0.12649712,0.11165909,0.11369014,0.1133768,0.1019895,0.08457464,0.08258177,0.10632479,0.14922813,0.18846947,0.20504038,0.19219053,0.15818298,0.11877265,0.09002594,0.081563525,0.09440916,0.121949464,0.15503454,0.1842541,0.2042012,0.21186239,0.20786752,0.19278096,0.16890259,0.1405357,0.11370751,0.09251392,0.07634029,0.063832745,0.056328267,0.05662042,0.06273367,0.0661588,0.059608743,0.04311118,0.024416111,0.010479347,0.0041714353,0.0058684624,0.01768159,0.041952193,0.07375656,0.10002196,0.10664284,0.09469634,0.0823064,0.092723906,0.1327788,0.18408774,0.21621986,0.20813663,0.16846113,0.1274362,0.11855405,0.14666826,0.18849885,0.20733117,0.19184776,0.1573874,0.1334142,0.12769283,0.12861721,0.116633445,0.08858437,0.0538597,0.02591897,0.009649868,0.0034073219,0.0033507897,0.008675187,0.020151582,0.037365858,0.05660507,0.07356087,0.08663163,0.09693537,0.10498943,0.107769705,0.10242775,0.089101486,0.07257396,0.05713484,0.045805026,0.0400283,0.041184817,0.047461193,0.053775534,0.054697424,0.050777916,0.046480503,0.04616284,0.0491702,0.05511507,0.06512774,0.080228485,0.09482839,0.09952948,0.08896301,0.06712503,0.04376271,0.026581012,0.018015519,0.01731248,0.02444827,0.042219687,0.0715977,0.10851023,0.14030415,0.15556456,0.149557,0.13019969,0.10956621,0.09878669,0.10181138,0.115818925,0.13257632,0.14213783,0.13835688,0.121480346,0.0994625,0.08503226,0.09190037,0.12709811,0.18338387,0.23855038,0.26574275,0.25164866,0.20690112,0.16175304,0.14634933,0.17181538,0.22255774,0.26702127,0.27687773,0.24502988,0.18846263,0.13772166,0.1148352,0.121549346,0.14130318,0.15844756,0.16824031,0.17370598,0.17380865,0.16139863,0.13499628,0.10534612,0.09229815,0.10344537,0.12797464,0.13984855,0.1250178,0.087532036,0.047916804,0.02098161,0.0136186695,0.026555581,0.061054643,0.11156142,0.16002125,0.18224026,0.1654553,0.11934713,0.06793582,0.03294433,0.024393417,0.042915303,0.082561426,0.12834036,0.15885578,0.15672426,0.12342352,0.07702624,0.040954664,0.028919274,0.043916926,0.080467425,0.12870239,0.17526515,0.20788246,0.21975577,0.2124868,0.19224143,0.1661495,0.13771258,0.1085343,0.07991775,0.057323202,0.04955326,0.06401217,0.09977931,0.14355509,0.17563032,0.17944916,0.15316641,0.11136756,0.07842717,0.07482431,0.10414789,0.15009505,0.18453322,0.1860105,0.15256976,0.10266316,0.060527246,0.042174798,0.04706214,0.06321663,0.074534655,0.07211345,0.05736205,0.041799087,0.038307223,0.053361405,0.08232698,0.11141052,0.12613116,0.11905441,0.09393978,0.061724782,0.034762733,0.022785636,0.03279553,0.06672883,0.11853478,0.17104484,0.20544134,0.21065754,0.19206212,0.16183053,0.13072604,0.10066696,0.07159897,0.044746432,0.024934016,0.015527733,0.01691158,0.024998836,0.033638924,0.03673139,0.032852862,0.027033329,0.03045767,0.054031372,0.10101459,0.16070722,0.21276037,0.23945878,0.23842514,0.22118182,0.19959356,0.175314,0.14252843,0.101397626,0.06201874,0.040491965,0.046482068,0.080637954,0.13367194,0.1932798,0.24563439,0.27803203,0.27967522,0.24864586,0.19942684,0.15758272,0.14504333,0.16142634,0.1899168,0.20844613,0.20725365,0.18479884,0.14840114,0.10887615,0.08296762,0.08262927,0.10524475,0.13102187,0.13655473,0.11408734,0.07460358,0.038264718,0.01794362,0.01706989,0.03168528,0.05436718,0.074467145,0.081515856,0.07221561,0.051738378,0.030558078,0.016981682,0.016097061,0.029489638,0.053756643,0.079073906,0.09161792,0.084309705,0.061015148,0.034512732,0.014864621,0.0050632334,0.001766249,0.0011368644,0.0014459073,0.0033963893,0.010295199,0.025533011,0.05077074,0.07915204,0.09944814,0.09959105,0.08023383,0.050611246,0.02503326,0.009720893,0.005048876,0.007510667,0.014765106,0.02475576,0.03421867,0.040622044,0.043962117,0.0531287,0.08433496,0.15326355,0.2537007,0.35192588,0.40352583,0.3887414,0.32336193,0.2416647,0.16927226,0.1177964,0.09108358,0.090008736,0.10801908,0.13286681,0.1513079,0.15531702,0.14205317,0.1150915,0.0837696,0.060161933,0.05119281,0.0554914,0.0668084,0.08283651,0.10469314,0.1298244,0.14643496,0.14243452,0.11921215,0.0932493,0.0820164,0.08984689,0.106932305,0.121691465,0.12571487,0.11778709,0.097192965,0.06941302,0.040578835,0.019086746,0.006811268,0.0026342794,0.004173041,0.013183662,0.034309316,0.06837066,0.10936346,0.1443028,0.16540799,0.17376594,0.1796453,0.19139244,0.20902674,0.22500028,0.22675847,0.20724453,0.16561471,0.114872105,0.07125088,0.05097283,0.05536966,0.07573034,0.094403036,0.10171121,0.09591209,0.08516822,0.07414063,0.06357749,0.050424844,0.035958707,0.026295178,0.029307276,0.048012357,0.07674914,0.10192216,0.11012376,0.0966129,0.07061604,0.04848056,0.044735476,0.061188113,0.08877023,0.11037979,0.11450664,0.097498864,0.0693773,0.042679776,0.029644014,0.031540252,0.0444295,0.06206174,0.08406336,0.11149437,0.13896745,0.15437849,0.1471862,0.12467115,0.106399216,0.11376244,0.14968793,0.20093894,0.24424791,0.26436964,0.25913867,0.23911451,0.21454054,0.18981409,0.16502427,0.14187546,0.12414655,0.111574136,0.10247213,0.095245354,0.094135016,0.101181306,0.115535416,0.13002272,0.13795523,0.13455778,0.12006778,0.09899183,0.07845874,0.06737114,0.07086625,0.08749484,0.10698751,0.11886507,0.12197518,0.12427726,0.13496518,0.15191263,0.1670645,0.17122333,0.16360521,0.14623933,0.122572444,0.094718724,0.06633075,0.043811757,0.034919497,0.047125783,0.08087362,0.12781854,0.16910504,0.18835644,0.18003316,0.15730049,0.13946752,0.13894142,0.1499933,0.15705253,0.15012465,0.13720566,0.13510895,0.15310447,0.17801797,0.1895953,0.17674248,0.15388681,0.14314462,0.15883005,0.19190018,0.22156537,0.22950278,0.21586926,0.19591874,0.18712778,0.19123638,0.19645675,0.18848835,0.1668374,0.13849019,0.11186281,0.08966407,0.07794013,0.08488267,0.11428044,0.15628715,0.19237351,0.20917,0.20527999,0.18735223,0.16294926,0.13975844,0.12842745,0.13700782,0.16509818,0.19987293,0.22585835,0.23312545,0.22295493,0.20442313,0.1892076,0.18503845,0.19075839,0.19641642,0.1907645,0.17097789,0.14520542,0.124669366,0.11438906,0.11404655,0.12149128,0.13615716,0.15168707,0.16052149,0.15693997,0.14442062,0.12915294,0.11588576,0.10931491,0.11241033,0.12730779,0.146209,0.16212521,0.16983266,0.17482078,0.1803925,0.18714114,0.18909305,0.18362069,0.17196064,0.15953241,0.15055881,0.14920731,0.15774985,0.17643434,0.19762678,0.2108869,0.20902897,0.19702101,0.18480836,0.17735648,0.1685714,0.15107356,0.1259224,0.101661466,0.08418851,0.0710059,0.057746995,0.0441424,0.035664335,0.036994565,0.049492,0.069716655,0.09074334,0.10379624,0.10280987,0.0896216,0.0741057,0.06703452,0.07324898,0.090493195,0.115146615,0.14309518,0.16858123,0.18449588,0.18841518,0.18396144,0.17505963,0.16092442,0.14174591,0.12595136,0.12834358,0.15575866,0.19811599,0.23305655,0.24288632,0.22857064,0.20808232,0.20249087,0.2160871,0.23721789,0.24622595,0.23599221,0.20889443,0.17682464,0.14885117,0.13071367,0.119651854,0.10720431,0.091343544,0.08094891,0.09550265,0.14197285,0.21195276,0.27966198,0.32475182,0.332978,0.30532217,0.25062716,0.19170518,0.15394051,0.15011014,0.16903579,0.18346165,0.18106095,0.17263813,0.18238097,0.21449423,0.2503152,0.2630874,0.24269979,0.1978973,0.14604844,0.10324391,0.08255008,0.09261916,0.13268974,0.19053912,0.24582446,0.28168967,0.28832433,0.2700797,0.23640235,0.20061994,0.16723377,0.13827579,0.11487465,0.10296551,0.10591062,0.117509246,0.12574697,0.12103268,0.109267585,0.10248816,0.110955775,0.12784831,0.14072193,0.13894631,0.12666313,0.112310626,0.10217729,0.09246892,0.07954078,0.065323085,0.059528146,0.065993644,0.07921583,0.08670982,0.08743759,0.09089791,0.11300761,0.15383561,0.2005698,0.2290395,0.22576745,0.1894874,0.13529609,0.08090506,0.042159397,0.026271792,0.03388335,0.056227844,0.07909147,0.08655245,0.07423668,0.048694897,0.024195472,0.008793247,0.0050335396,0.012175977,0.032624606,0.06772905,0.11343523,0.15760528,0.18737684,0.19576752,0.18567337,0.16363941,0.13695815,0.11221385,0.09828833,0.1010493,0.11864387,0.13979642,0.15344505,0.15462475,0.1474949,0.13770533,0.13046728,0.12418609,0.11511745,0.09896902,0.080860384,0.07484301,0.09508884,0.14371897,0.19944696,0.2335727,0.22238357,0.17214881,0.105346166,0.05254647,0.02859617,0.037961267,0.07259562,0.11875329,0.15510939,0.16456245,0.14376615,0.10926349,0.08643498,0.09459827,0.13429765,0.18608576,0.22126807,0.21828294,0.17692925,0.11620065,0.06069732,0.02542079,0.013364318,0.022243818,0.048394624,0.08379394,0.113402285,0.122731775,0.11005452,0.08817955,0.073475994,0.0704503,0.07150219,0.065578595,0.050330523,0.030950254,0.015102971,0.005768563,0.0033237468,0.008706065,0.027323471,0.063409746,0.114920914,0.16811556,0.20656627,0.21850409,0.20704252,0.18287706,0.15907152,0.13844424,0.11816136,0.092248954,0.06255887,0.03465833,0.016559089,0.012416999,0.025755057,0.056337666,0.10035194,0.14836262,0.19258495,0.22803885,0.25266173,0.26283896,0.2557899,0.23214656,0.19524024,0.15083732,0.10651971,0.0758983,0.07230713,0.10269976,0.1573194,0.2142006,0.24988322,0.2554346,0.23992997,0.21999393,0.20633204,0.19843034,0.1918795,0.18477201,0.17854428,0.1722668,0.16071087,0.13720743,0.10205418,0.06286817,0.031020554,0.011694931,0.003985482,0.004125256,0.012943689,0.035588447,0.07617802,0.12880641,0.17637645,0.19957377,0.19346972,0.17252684,0.16176453,0.17467679,0.20431916,0.22654395,0.22234721,0.19027513,0.15114847,0.12785517,0.12961878,0.14304256,0.14899407,0.13824931,0.118069656,0.10050705,0.09292066,0.095942736,0.107700445,0.12469611,0.14036006,0.14816372,0.14523531,0.13632666,0.12697636,0.11987182,0.110544294,0.094789214,0.072744586,0.052996065,0.046203908,0.05910245,0.087638,0.11975693,0.14107168,0.14417772,0.13016754,0.10707242,0.08358365,0.06657423,0.05794252,0.055960566,0.056160983,0.056470405,0.055895742,0.05472183,0.051306684,0.04710771,0.046103697,0.053069737,0.06716322,0.08170792,0.0896944,0.08738648,0.07697759,0.06196482,0.04729202,0.036793433,0.03498898,0.045089673,0.06560144,0.08905373,0.104456745,0.10650434,0.098946474,0.092073895,0.09527141,0.11025783,0.13215049,0.15019912,0.15556903,0.14369121,0.11938239,0.095118344,0.08615541,0.101997755,0.13737373,0.17517866,0.1936417,0.1822707,0.14566092,0.10318574,0.07481518,0.06909167,0.07813806,0.08650472,0.08949313,0.09627216,0.12182313,0.16530733,0.21180244,0.24090701,0.24651998,0.23340619,0.21312158,0.1927981,0.17644061,0.16428757,0.15431052,0.14375965,0.13146028,0.12154796,0.120470494,0.13124087,0.147467,0.15702416,0.1511565,0.13102852,0.10498939,0.08258607,0.06967909,0.06799343,0.07445636,0.0834707,0.089497745,0.09010319,0.08562434,0.07703651,0.06609351,0.05581424,0.05222627,0.0592784,0.07583869,0.092874356,0.10125834,0.096479096,0.081961416,0.06317266,0.045030594,0.031385317,0.027569488,0.039157342,0.06677399,0.102698706,0.13240698,0.14352243,0.13194047,0.10418394,0.07069629,0.042170573,0.025328504,0.025776505,0.044808093,0.07981163,0.11906159,0.14808832,0.15506952,0.14313163,0.12748352,0.12491842,0.13914259,0.16020982,0.17935847,0.19472097,0.20952593,0.21554883,0.20222856,0.16323587,0.11203953,0.06809961,0.049899835,0.061270874,0.09463527,0.13190317,0.15525597,0.15541387,0.13787027,0.11547906,0.098451756,0.08677972,0.075811885,0.062837824,0.05116606,0.044672865,0.043878887,0.046374906,0.05152668,0.062165823,0.07770143,0.091815464,0.09302369,0.078712516,0.056047585,0.042003486,0.04742356,0.07455343,0.11046529,0.139417,0.14763935,0.14014505,0.13188066,0.1420653,0.16958813,0.1983868,0.20359649,0.17874686,0.13748616,0.10674558,0.102040716,0.1202702,0.14449768,0.16207494,0.16782768,0.16495448,0.15623648,0.1493404,0.1523525,0.17082115,0.19853596,0.21823932,0.21491973,0.18645824,0.14979616,0.1245374,0.118417144,0.119974345,0.11153745,0.086719155,0.053218294,0.025149351,0.010383936,0.012597541,0.0343708,0.07763882,0.13496578,0.18981229,0.22399403,0.23279732,0.2195788,0.19401671,0.16141705,0.13634525,0.13274217,0.16189615,0.21241218,0.2628779,0.287904,0.2793314,0.24296986,0.20044409,0.17057991,0.16194887,0.1672227,0.17703019,0.18755455,0.19922203,0.20836955,0.20830645,0.19751687,0.18232878,0.16851199,0.15378915,0.13201164,0.10493064,0.085107855,0.08518679,0.104367405,0.1267978,0.13538472,0.1255747,0.111006685,0.10961106,0.1301427,0.16115206,0.18263136,0.17814724,0.14878695,0.1072583,0.0704708,0.046753377,0.035775796,0.030810593,0.02720371,0.024100311,0.023278162,0.024591168,0.025447818,0.023284903,0.018351821,0.013563917,0.011786643,0.013594289,0.017247554,0.02040145,0.021864934,0.02169288,0.02077262,0.020076191,0.020680053,0.022753194,0.025090048,0.025292857,0.021947995,0.015861586,0.010451515,0.010724698,0.022849942,0.050546434,0.0905759,0.12937751,0.14974344,0.1422653,0.11393962,0.08342978,0.06793062,0.071931355,0.087466456,0.102066614,0.10886834,0.10908561,0.11427629,0.13781099,0.18804471,0.24979597,0.29395434,0.2921352,0.2515072,0.20367055,0.18505174,0.19984592,0.22761482,0.24017186,0.22627385,0.19222228,0.15397288,0.12633403,0.11688498,0.1241378,0.13885707,0.14962776,0.14836854,0.13449256,0.11253429,0.09040991,0.07529402,0.07191235,0.077779494,0.08370718,0.079404674,0.063074626,0.043290574,0.032881767,0.037783105,0.054496884,0.073622264,0.089011975,0.09941647,0.10674292,0.110965945,0.111261964,0.10647053,0.09814489,0.088591255,0.08343921,0.08511126,0.091744,0.09272418,0.08098615,0.05693123,0.031734396,0.016050061,0.016930865,0.034941856,0.064741224,0.093945004,0.10742866,0.097699426,0.07024103,0.039419517,0.017401833,0.010100007,0.019240065,0.045074064,0.08106305,0.112548105,0.12184712,0.10399979,0.06887216,0.03535979,0.016961219,0.021545961,0.05323,0.111541666,0.18301566,0.2399451,0.25549635,0.22280742,0.16115443,0.10256741,0.07127434,0.07441736,0.10179754,0.13736816,0.1646173,0.17468874,0.16504557,0.1419141,0.11794873,0.10806408,0.119668484,0.14609121,0.17096363,0.18156828,0.17584704,0.16326465,0.15308048,0.15334813,0.16281869,0.1801999,0.19880585,0.21604137,0.22265758,0.2139767,0.18814234,0.15908028,0.14166827,0.14316855,0.15260316,0.15519452,0.14701782,0.14057378,0.1524869,0.18698375,0.23240833,0.26819348,0.27811646,0.25674155,0.21217947,0.16245271,0.125225,0.11094737,0.12017902,0.1522132,0.20266557,0.2605079,0.30473718,0.31878948,0.29961193,0.2605746,0.21572416,0.17655782,0.14534213,0.12423401,0.110872395,0.104630806,0.10260567,0.10126329,0.0952199,0.080419786,0.060587823,0.046176717,0.050629724,0.07892162,0.1250698,0.17379935,0.212382,0.23526354,0.24742438,0.25386825,0.25996402,0.26271692,0.25910658,0.23996873,0.2038753,0.15562999,0.1133349,0.09080535,0.091189,0.102752276,0.11672914,0.13271359,0.1561961,0.18118586,0.19296615,0.17958073,0.15122148,0.13229264,0.14296995,0.17765711,0.21140717,0.21836263,0.19286317,0.1486553,0.10991482,0.09193318,0.09556141,0.10573298,0.10871711,0.1012784,0.092147,0.08837337,0.08750612,0.08279846,0.07121592,0.057058502,0.045182005,0.039062623,0.04033367,0.049984466,0.065037064,0.07733961,0.07819254,0.06503189,0.04386906,0.023997433,0.011924011,0.008955697,0.012887028,0.019871049,0.0254121,0.02606537,0.021311393,0.01378706,0.0070073786,0.0034590864,0.005007687,0.014046144,0.032537106,0.058692157,0.08763263,0.1140348,0.13761805,0.15900455,0.17742544,0.18558855,0.17683713,0.14856866,0.10869723,0.07042256,0.04731059,0.04255499,0.05011311,0.058064133,0.060830068,0.057794113,0.052412417,0.0442566,0.033854164,0.02285084,0.017236987,0.020872839,0.034884512,0.05294928,0.06677774,0.06821551,0.05913877,0.047985647,0.0441436,0.04746676,0.049742803,0.04459391,0.033672262,0.026383499,0.028220057,0.037320606,0.044447273,0.043020014,0.03269806,0.020171644,0.0140414545,0.022255147,0.04849784,0.08881434,0.13029021,0.15863258,0.16841607,0.16727118,0.1652171,0.16405843,0.1554023,0.13371225,0.105749734,0.0879527,0.09186419,0.11337324,0.13676327,0.14754732,0.14277191,0.12823327,0.11050863,0.091034,0.06904375,0.045611057,0.02558493,0.014288834,0.015343432,0.02874828,0.051575292,0.07760253,0.0997794,0.11194279,0.11092936,0.09706822,0.073876984,0.047971908,0.026135385,0.013858632,0.012921338,0.021594753,0.034200445,0.043066874,0.04264171,0.033121496,0.019972952,0.009186197,0.0032546578,0.0011630388,0.00076502655,0.0007796704,0.00079594954,0.0007977148,0.0010382446,0.0023479199,0.006737122,0.016591243,0.0337677,0.057166617,0.08343398,0.10720577,0.12429509,0.13104093,0.12612261,0.11028851,0.08899801,0.069799386,0.05846521,0.053992372,0.050771195,0.044803496,0.0389976,0.04032484,0.05199491,0.06812421,0.07757606,0.07270626,0.0554449,0.034240805,0.017291209,0.0073702657,0.0033393763,0.0030080546,0.0055857603,0.010041952,0.014687282,0.016675074,0.015000208,0.010490112,0.0058610174,0.002695347,0.0013906496,0.0015213409,0.0037237525,0.009990508,0.021556815,0.036649626,0.04920509,0.054568112,0.05439426,0.060647275,0.08732271,0.14287452,0.2201825,0.297946,0.34731734,0.34936705,0.3088219,0.25078192,0.20070828,0.1668709,0.14392072,0.1276404,0.11773833,0.11192814,0.100465454,0.07813608,0.048931967,0.02597229,0.019315239,0.033781618,0.06549425,0.10408033,0.13449083,0.1479566,0.14791799,0.14611693,0.14927636,0.15174873,0.14327401,0.11969367,0.09088797,0.07170316,0.074917085,0.10010269,0.13946098,0.17683999,0.19878066,0.19498353,0.17218523,0.15104468,0.1544528,0.18609889,0.2228312,0.2382672,0.22051205,0.18426323,0.14695637,0.11956423,0.09985698,0.0859127,0.08070299,0.089926906,0.11503321,0.1468247,0.16962083,0.17020969,0.14764939,0.11542746,0.088783614,0.07589073,0.07026994,0.063969545,0.05200014,0.03962741,0.03287619]