[0.0028996305,0.0032349343,0.004019248,0.0050976905,0.006188713,0.0069200457,0.006978992,0.006782765,0.007974475,0.013781973,0.026936963,0.0483648,0.07561336,0.105908476,0.13679032,0.16731746,0.19501413,0.21685205,0.2301697,0.23523903,0.23415597,0.22932021,0.22202314,0.21308106,0.20355792,0.19511501,0.18906637,0.185524,0.1829955,0.17926522,0.17268562,0.1633501,0.15372425,0.14820234,0.15099107,0.16263653,0.17853414,0.19145083,0.1970185,0.19598807,0.19189902,0.18670188,0.18009593,0.17206587,0.16452865,0.16029747,0.1600338,0.16188143,0.16222325,0.1586809,0.15082718,0.14060785,0.13021903,0.121837534,0.11809122,0.12310503,0.14034246,0.16822742,0.19899519,0.22250856,0.23348857,0.23354055,0.22832523,0.22173727,0.21431191,0.20530804,0.19599609,0.18929653,0.18680596,0.18618111,0.18336767,0.17537309,0.16249433,0.14608991,0.12857582,0.11343589,0.10576632,0.10922424,0.12264794,0.14030881,0.15530543,0.1642562,0.16736805,0.16666992,0.16324942,0.15770634,0.15114658,0.1451015,0.14033704,0.13591999,0.13117872,0.12623154,0.1217735,0.11652851,0.10869136,0.09874075,0.091984846,0.095071554,0.11052346,0.1336174,0.15597157,0.17113514,0.17808582,0.17982697,0.18038267,0.1823849,0.1864258,0.1917227,0.1966974,0.1998545,0.1997701,0.19586493,0.18850337,0.17912418,0.16932179,0.16031785,0.15316771,0.14925943,0.14979665,0.15407111,0.15853108,0.15876158,0.15328838,0.1454013,0.1408305,0.14307006,0.15155388,0.1629508,0.17412569,0.18220174,0.18390597,0.1761701,0.15981816,0.14192542,0.13274157,0.13843389,0.15610184,0.1762899,0.19055279,0.1965254,0.19733723,0.19637363,0.19482791,0.1915418,0.1860196,0.17864172,0.17070305,0.16344923,0.15839513,0.15708418,0.15940915,0.16326237,0.1647709,0.16159695,0.15343015,0.14245902,0.13107666,0.12200296,0.117683284,0.12019777,0.12878267,0.13885087,0.14348723,0.13873367,0.12613636,0.111173935,0.09786863,0.08739585,0.08002751,0.077846676,0.0827746,0.093178146,0.10357567,0.10919223,0.11009104,0.109769195,0.110022515,0.10881909,0.10424057,0.09959542,0.10223166,0.1172477,0.14202662,0.16839795,0.18852238,0.19973503,0.20391618,0.20430921,0.20297629,0.20066005,0.19806878,0.19635518,0.19647528,0.19805706,0.19958232,0.19931598,0.1962008,0.18957555,0.17951812,0.16785826,0.1594413,0.16006862,0.17258783,0.19321795,0.21331422,0.22390987,0.22063692,0.20457657,0.1808054,0.15629315,0.13812329,0.13222706,0.14097008,0.161838,0.18744612,0.20933521,0.22223748,0.22623749,0.22455914,0.21996604,0.21317744,0.20441097,0.19491827,0.18657388,0.17944048,0.17163779,0.16131355,0.14930111,0.1382118,0.12984379,0.12435775,0.12207031,0.12547976,0.1366695,0.15438157,0.17243385,0.18416046,0.18618804,0.1802725,0.17068021,0.16152771,0.15569091,0.15512793,0.16106735,0.17282705,0.18718062,0.19930442,0.20573501,0.20586836,0.20149104,0.19422448,0.18540235,0.17688054,0.17222731,0.17414944,0.18202727,0.19117351,0.19681357,0.1972662,0.1948036,0.19240731,0.1918763,0.19322973,0.19634585,0.20074558,0.20562224,0.20900948,0.20959978,0.20732494,0.2045786,0.20397024,0.20700003,0.21196765,0.21526502,0.21324289,0.20489836,0.19233842,0.17989372,0.17169976,0.17004424,0.1734779,0.17793857,0.17852736,0.17409617,0.16791672,0.16569234,0.16961783,0.17622034,0.17900974,0.17455612,0.16507266,0.15553902,0.14875133,0.14370142,0.13843666,0.1331761,0.13001828,0.13001688,0.13161224,0.13248666,0.13157551,0.12910509,0.12530348,0.121102504,0.11983053,0.12559533,0.13834764,0.15113614,0.15436552,0.14431036,0.12570158,0.10737505,0.094174705,0.08563134,0.07906348,0.07396098,0.07154032,0.072262466,0.074460454,0.0759148,0.07597559,0.07562383,0.075973384,0.07749062,0.0810273,0.08875432,0.10255497,0.12156904,0.14088492,0.15461947,0.15892169,0.15417029,0.14336105,0.13156322,0.1254003,0.13196006,0.15451913,0.18814898,0.2210145,0.24114035,0.24427538,0.2347212,0.2206618,0.20805264,0.19930576,0.19537179,0.19776542,0.20752154,0.22275268,0.23807375,0.247828,0.2499258,0.24763604,0.24614072,0.24843264,0.2528278,0.25552002,0.2538989,0.24798733,0.23917209,0.22849609,0.21704704,0.2060705,0.19688933,0.18985212,0.18521465,0.18456204,0.18997598,0.20142454,0.21424223,0.22244225,0.22279747,0.21741714,0.21010546,0.20301463,0.19567476,0.18787062,0.18137716,0.17937219,0.18335485,0.19168492,0.20020737,0.20528294,0.20488285,0.198435,0.18637908,0.17197017,0.16229184,0.16478252,0.18169934,0.20689113,0.23032244,0.24393332,0.24605669,0.23958786,0.2294132,0.21968602,0.21354897,0.2129228,0.2180381,0.2270451,0.23632532,0.24216878,0.24121946,0.23074168,0.20931073,0.17991632,0.15165178,0.13667813,0.14233805,0.16515833,0.19224896,0.21039768,0.21424635,0.20783652,0.1986956,0.1918646,0.1884386,0.18771118,0.18951106,0.1932709,0.19733196,0.19891886,0.1967168,0.19174878,0.18667924,0.18364298,0.18361276,0.18659304,0.19274591,0.20135288,0.21109736,0.21893042,0.22306496,0.22297508,0.22012977,0.21407546,0.20310478,0.18630476,0.16850972,0.15774761,0.16001423,0.17297171,0.18886131,0.20002627,0.20436303,0.20417638,0.20293982,0.20299558,0.2054318,0.21106826,0.21970688,0.22950618,0.23686457,0.23885147,0.2350638,0.22786765,0.21977377,0.21194023,0.20403002,0.1969539,0.19274914,0.19375782,0.19851421,0.20267057,0.20048277,0.1895838,0.17086327,0.14843643,0.1275534,0.114478886,0.113384426,0.12339562,0.13666819,0.14346716,0.13856626,0.12493827,0.1092847,0.09645618,0.08742255,0.08272911,0.0847539,0.09540695,0.11172191,0.12568897,0.12992708,0.123319626,0.11077837,0.09814126,0.08856809,0.084180206,0.08790797,0.102071166,0.123347215,0.14335932,0.15456091,0.15833455,0.16287833,0.17562352,0.1951362,0.21508713,0.23070765,0.24321248,0.2543533,0.26233697,0.2623122,0.2530526,0.2396761,0.23030996,0.2287277,0.23269893,0.23802523,0.24375074,0.25048324,0.25597218,0.25436586,0.24262492,0.22500259,0.21008407,0.20168985,0.19632632,0.18891747,0.18173395,0.18221493,0.19397505,0.20880318,0.21424705,0.20510006,0.19050835,0.18433733,0.19420296,0.21596856,0.24046652,0.26016173,0.27153993,0.2723081,0.26101196,0.23926468,0.2147548,0.19798876,0.19684051,0.21056668,0.23170817,0.25053826,0.26138806,0.26378825,0.2610438,0.2565553,0.25153902,0.24459319,0.23320182,0.21615918,0.19624972,0.18065403,0.17754637,0.18953574,0.21037357,0.22900677,0.23729824,0.23399182,0.22121982,0.20122816,0.17658353,0.15403946,0.1427785,0.14908618,0.17051035,0.19774723,0.2204904,0.23373319,0.23832066,0.23834957,0.2374801,0.23788582,0.2405832,0.24564798,0.25224137,0.2583423,0.2621853,0.26284537,0.26070735,0.25664708,0.25137904,0.24560313,0.24020715,0.23706271,0.23791511,0.24346435,0.25195476,0.26046774,0.26580638,0.26625076,0.26128995,0.25281635,0.24446006,0.24083443,0.24395104,0.2516866,0.25838912,0.25924322,0.25336236,0.24349172,0.23212896,0.21850272,0.20011981,0.1772809,0.15547593,0.14182703,0.13880217,0.14265485,0.1479156,0.15368791,0.16265638,0.17656636,0.19169377,0.2030552,0.2083426,0.21044652,0.21223247,0.21386272,0.21233207,0.20538862,0.19311775,0.17740472,0.16056009,0.14517361,0.13472043,0.1321194,0.1372313,0.14548872,0.1506741,0.14938648,0.14294009,0.13499157,0.12797041,0.1223259,0.11852786,0.117871754,0.12148326,0.12802137,0.13462101,0.13846326,0.13853703,0.13488697,0.1277264,0.11764393,0.10628282,0.09694955,0.09293095,0.09563589,0.103173584,0.111515366,0.11692959,0.117674224,0.11418277,0.10797706,0.10197693,0.10030583,0.10752409,0.12443458,0.14656694,0.16538262,0.17500515,0.17474216,0.16861242,0.16029163,0.15266488,0.14859557,0.15271704,0.16846879,0.19522654,0.22647388,0.25311753,0.26761794,0.26804814,0.25762638,0.24247092,0.22830105,0.21998018,0.22092062,0.23214523,0.24979155,0.26596078,0.27313724,0.26965794,0.25992462,0.24928041,0.23871076,0.22682132,0.21472506,0.20818578,0.21054937,0.21775194,0.2205273,0.21443522,0.20471175,0.20144556,0.21048433,0.22908264,0.24957593,0.2651004,0.27238104,0.2708437,0.26080662,0.2438479,0.22334002,0.2048075,0.19393303,0.19393831,0.20377386,0.21807086,0.23065203,0.23728949,0.23832364,0.23641777,0.23456626,0.23308198,0.23089427,0.2272835,0.2242545,0.22482555,0.2300961,0.23687811,0.239854,0.23541217,0.22418131,0.20888107,0.1912524,0.17093594,0.14829119,0.12663366,0.11107084,0.10436955,0.104199834,0.10498459,0.10239914,0.096212864,0.089091,0.08327078,0.07993566,0.08058805,0.08856473,0.10564524,0.12890215,0.15011601,0.16194636,0.16236663,0.15543735,0.14688855,0.1416867,0.14372605,0.15534742,0.17570269,0.19903916,0.21805418,0.22773266,0.22874355,0.22505426,0.22086878,0.21809602,0.21733569,0.21927433,0.22476023,0.2332356,0.24206102,0.2478414,0.24886586,0.24592973,0.24115176,0.23598558,0.23058031,0.22455806,0.21810134,0.2117331,0.20574309,0.19983637,0.19426972,0.1903705,0.18997355,0.1936928,0.2003677,0.20864183,0.21908289,0.23383099,0.25290838,0.27060625,0.27713844,0.26551476,0.23820086,0.20657499,0.18323459,0.17396565,0.17591955,0.1834556,0.1932232,0.20494704,0.2163719,0.22292061,0.220695,0.21182479,0.20223881,0.19764833,0.1997062,0.2081898,0.22148627,0.23660605,0.24755044,0.24882834,0.23917371,0.22312796,0.20719598,0.19547705,0.18879719,0.1866851,0.18993326,0.19944483,0.21446669,0.23107427,0.24497408,0.2541293,0.2604666,0.26710787,0.2765973,0.28907943,0.30388162,0.31780577,0.32638606,0.32385954,0.30919394,0.28630486,0.2631425,0.24488062,0.2327082,0.22485553,0.22013928,0.21838337,0.21894813,0.21990657,0.21891622,0.21543081,0.21095175,0.20750742,0.205691,0.2047372,0.20444949,0.20596959,0.21060286,0.21732678,0.22313797,0.22572888,0.22651212,0.22933054,0.23673117,0.246671,0.25462008,0.25725272,0.25534973,0.25107476,0.24509358,0.2352357,0.21997477,0.20080034,0.18168455,0.16618139,0.15617922,0.15384857,0.1615807,0.17941332,0.20140262,0.21784437,0.22163826,0.21280082,0.19697522,0.1796905,0.1636143,0.14939387,0.1390422,0.13643225,0.14512675,0.16430648,0.18785398,0.20718616,0.21664089,0.21554662,0.20681745,0.19370674,0.17946611,0.16759615,0.16133393,0.16084538,0.16278134,0.16260548,0.15821964,0.15049571,0.14160103,0.13302332,0.12576944,0.12065586,0.118660755,0.11992367,0.12391638,0.12935193,0.13492326,0.13908581,0.14052908,0.13910909,0.13717885,0.13937221,0.14941698,0.1668511,0.18592514,0.20000772,0.20554526,0.20424338,0.19931442,0.19307207,0.18540584,0.17632498,0.16682903,0.15910406,0.15472282,0.15386389,0.15525198,0.15708335,0.1574551,0.1553161,0.15077019,0.14615507,0.14403592,0.14538728,0.14706099,0.14463858,0.1358443,0.123463474,0.112280905,0.10512155,0.10087833,0.09710768,0.09326738,0.09076131,0.0908738,0.09229002,0.0925279,0.0895338,0.08360281,0.07603981,0.0684305,0.06196234,0.05823031,0.05890514,0.064415485,0.072665244,0.07994755,0.08370322,0.08449284,0.08471161,0.08602384,0.08775023,0.088901855,0.08964983,0.09164611,0.09521764,0.09868821,0.09956357,0.09763876,0.09519581,0.09479579,0.096681416,0.09945154,0.10286808,0.109085776,0.120671414,0.13718261,0.15511239,0.17048436,0.18191071,0.19007082,0.19605725,0.20079716,0.20662378,0.21691431,0.23310085,0.2515913,0.26634958,0.27467236,0.28103167,0.29204217,0.30917943,0.32516518,0.33122578,0.32473508,0.31144693,0.29863977,0.2894974,0.28410932,0.283354,0.2896609,0.3024085,0.31579995,0.32233307,0.31846234,0.30715397,0.29389906,0.28261697,0.27293184,0.26266858,0.2503437,0.23766577,0.2287991,0.2290198,0.24254537,0.27106592,0.31224334,0.35795984,0.3953531,0.41067794,0.3973008,0.3589959,0.30838537,0.2584954,0.21727826,0.18588303,0.16181946,0.14235228,0.12679973,0.11778378,0.119418226,0.13385977,0.15725102,0.18319003,0.20980085,0.24589293,0.3014418,0.37414172,0.4423751,0.4808357,0.4799086,0.45208144,0.41901648,0.39463893,0.3816253,0.37575293,0.37399626,0.37441885,0.37654176,0.37886265,0.38021958,0.3794789,0.37649176,0.37242946,0.3692797,0.37013826,0.37598673,0.384312,0.38736424,0.37714675,0.35180867,0.3185482,0.2893733,0.27200928,0.26592743,0.26401493,0.2591701,0.24949147,0.23905802,0.23539956,0.24610007,0.27759254,0.3338287,0.40879607,0.48411775,0.5331426,0.54081327,0.51063657,0.46077552,0.40679833,0.35820487,0.32283568,0.31218612,0.3314518,0.3697326,0.40140676,0.4099679,0.4043176,0.41131997,0.4457499,0.4931334,0.52429545,0.5231098,0.497365,0.4667066,0.44337353,0.42987895,0.42165163,0.41581067,0.4078804,0.39360094,0.36829805,0.33274397,0.29353932,0.2603466,0.23971291,0.2318182,0.23287602,0.23942465,0.25074834,0.26600686,0.281248,0.2901675,0.28945652,0.28218678,0.2750983,0.2738802,0.28263608,0.30842856,0.3591673,0.43257657,0.506927,0.55042744,0.54604536,0.5049607,0.45719537,0.42578998,0.4153186,0.4160409,0.41826198,0.41783437,0.4151864,0.41042352,0.40272632,0.3917233,0.3800095,0.37132314,0.3686048,0.3718458,0.37991324,0.38984206,0.39700925,0.39420176,0.37704328,0.34699467,0.3126342,0.28277647,0.26201493,0.24878705,0.23933639,0.2311582,0.224218,0.22014791,0.22274536,0.23945172,0.28109133,0.35017458,0.43382725,0.5024609,0.53417134,0.52584326,0.49575484,0.45886874,0.41970095,0.37446693,0.3273065,0.28962985,0.2698572,0.26463184,0.26626202,0.27829733,0.31436145,0.38049284,0.4567677,0.5087237,0.5150259,0.48464847,0.4449533,0.4165902,0.40396306,0.4004909,0.40054682,0.39961943,0.39375463,0.37782142,0.3512282,0.31816307,0.28698242,0.26344344,0.24905156,0.24108827,0.23677886,0.23505943,0.2356875,0.23760128,0.23822157,0.23587824,0.23033349,0.22246581,0.21318717,0.20740974,0.21752982,0.2593814,0.3361617,0.42802724,0.49960485,0.5266518,0.5105271,0.4732912,0.43552968,0.40713188,0.3880961,0.37733242,0.37335244,0.3743503,0.3770741,0.37976,0.38253173,0.38672376,0.39203322,0.396665,0.39926758,0.40103176,0.4029161,0.40176547,0.38961545,0.36048362,0.31683972,0.26949146,0.229575,0.20142049,0.18250854,0.16969486,0.16440855,0.17166388,0.19341785,0.22678518,0.2685263,0.32403252,0.39819887,0.4834242,0.5503793,0.57277054,0.54596764,0.4930538,0.43742767,0.3903204,0.35316765,0.3341293,0.3438832,0.3797561,0.41905606,0.43677425,0.43293896,0.4319367,0.4573841,0.50311327,0.5402689,0.54462445,0.5178663,0.4798838,0.4488838,0.4307122,0.4223936,0.41910148,0.41561007,0.4059906,0.384804,0.35225964,0.31445304,0.2809163,0.25766996,0.24576116,0.24278648,0.24716938,0.25934848,0.27769223,0.29568395,0.302235,0.2918303,0.2693199,0.24835026,0.2389921,0.24456982,0.2655907,0.3071207,0.37015116,0.44237575,0.4971498,0.51444954,0.49439684,0.4559563,0.41872618,0.3922261,0.37683615,0.3698065,0.36846247,0.369674,0.36968184,0.36600372,0.3581034,0.3491386,0.34309372,0.3440393,0.35199282,0.3647362,0.3768741,0.38338086,0.37870798,0.3607731,0.33149552,0.2980374,0.26894042,0.25065777,0.24548198,0.25123265,0.26272166,0.27395222,0.28084585,0.2854025,0.29528058,0.3233318,0.37453172,0.4404721,0.49556795,0.51771903,0.49985972,0.45648038,0.40615526,0.36329654,0.3342059,0.32480922,0.33767083,0.36572984,0.38990977,0.3930588,0.37916508,0.37340656,0.3984425,0.4500191,0.49895987,0.519473,0.5074346,0.4793173,0.45169973,0.43345845,0.42419007,0.42233896,0.42462778,0.42835268,0.42972043,0.43064538,0.43845618,0.46092686,0.49249962,0.51210946,0.49855936,0.45036045,0.3888195,0.33929124,0.31357348,0.30833912,0.31691876,0.3362702,0.36195907,0.38326,0.38792822,0.37773672,0.37215868,0.39160407,0.43586865,0.47937712,0.4971163,0.4826021,0.45279503,0.4252976,0.40959892,0.40260664,0.4001901,0.39791214,0.39577207,0.39330626,0.39246225,0.39248073,0.3937172,0.3940111,0.39322996,0.3906654,0.38908064,0.39087144,0.39685,0.40192124,0.3987913,0.3835689,0.359354,0.3328954,0.30844176,0.28575823,0.2628147,0.24000424,0.22138636,0.21225227,0.21676482,0.23750801,0.2783918,0.34067643,0.41734973,0.48843583,0.5319277,0.537738,0.51290303,0.4736844,0.43185198,0.39529315,0.36965647,0.36411062,0.37915638,0.40370703,0.4182996,0.41778123,0.4176383,0.43953705,0.4855903,0.53258115,0.554748,0.5438239,0.51244897,0.4764692,0.44608435,0.4240098,0.4116969,0.4065034,0.40333346,0.39320758,0.3732384,0.34524813,0.31721708,0.29285634,0.27127647,0.24784406,0.22260453,0.20335694,0.19966607,0.21361731,0.23452695,0.24882324,0.2512127,0.24915856,0.2530007,0.26815787,0.2955242,0.33912766,0.40090838,0.4727532,0.5300505,0.55211204,0.5355893,0.5008202,0.4689343,0.45042047,0.44035327,0.43185917,0.42158297,0.41159812,0.40438366,0.40052065,0.39869583,0.3972305,0.39570358,0.39402676,0.39280975,0.39201394,0.39175168,0.388433,0.3762599,0.34847987,0.30647194,0.25903597,0.21918909,0.19289207,0.17839192,0.16967644,0.16495699,0.16597804,0.17364986,0.18495227,0.19952376,0.22765844,0.2843671,0.37199032,0.46624795,0.53104216,0.5442438,0.51360816,0.4613733,0.40427718,0.34758464,0.29757252,0.26730108,0.26616287,0.2869717,0.31011724,0.3250558,0.34346804,0.3845693,0.44973955,0.51041,0.53531164,0.5146989,0.4715288,0.43334734,0.4151068,0.41140726,0.4127009,0.41147777,0.40371788,0.38424596,0.35041186,0.30671605,0.2648845,0.23537825,0.21998835,0.21198182,0.2048675,0.19902915,0.20002453,0.20970486,0.22110613,0.22443855,0.21714465,0.20737618,0.20554473,0.21732049,0.24454443,0.29252172,0.36434498,0.45093083,0.5243947,0.55789894,0.5440765,0.50219274,0.4579399,0.42668173,0.4084766,0.39804623,0.3921374,0.39046058,0.3923734,0.39554736,0.3972086,0.39587942,0.39195296,0.38614932,0.37955108,0.373278,0.3697722,0.36916316,0.36854854,0.36119208,0.34392378,0.3182768,0.29066455,0.2644811,0.24010788,0.21640164,0.19676407,0.18765336,0.19400966,0.21439713,0.24446352,0.28444365,0.33996463,0.41145876,0.48390827,0.5328323,0.5428938,0.51922506,0.47922036,0.43719605,0.39962426,0.3722038,0.36536968,0.38442186,0.42012867,0.4489998,0.45701942,0.4536555,0.4633985,0.49682736,0.53521055,0.5507667,0.5317045,0.49356845,0.45766076,0.43539262,0.42399228,0.4178668,0.41361448,0.40815488,0.39602482,0.3721365,0.33768046,0.3004874,0.2694428,0.24703406,0.2293383,0.21201825,0.19721472,0.19194955,0.19987212,0.21491472,0.22522026,0.22437094,0.21673822,0.21209235,0.2165844,0.23251276,0.26459324,0.31850705,0.39012066,0.45821276,0.49678835,0.4955139,0.4660596,0.43047965,0.40238532,0.38532022,0.37545273,0.37193856,0.372741,0.3768779,0.37922117,0.3777533,0.37215772,0.36677587,0.36419085,0.3652878,0.36872065,0.3734447,0.37679467,0.37292388,0.35441065,0.31924796,0.2749682,0.23617661,0.21417044,0.20980684,0.21409714,0.217638,0.21798976,0.21895926,0.22394264,0.2346014,0.25603622,0.2993619,0.3695438,0.45346102,0.5209628,0.54674023,0.52532506,0.47046936,0.40145195,0.3357161,0.29003534,0.279116,0.3059962,0.35321176,0.39001584,0.39804402,0.3891543,0.39418098,0.430341,0.48176774,0.51707244,0.5182743,0.49412557,0.4641181,0.44032976,0.4229337,0.408604,0.3979561,0.3925415,0.39101872,0.38993,0.39196897,0.40754354,0.44234157,0.48483238,0.50650126,0.4868169,0.42932495,0.3616812,0.30995372,0.2842473,0.27902958,0.28931296,0.3134919,0.34849426,0.380049,0.39330006,0.3821739,0.35715616,0.33130124,0.31146184,0.2933484,0.27072647,0.24191326,0.21245824,0.1907292,0.18171364,0.18436034,0.19285949,0.20144375,0.20656139,0.20730518,0.20404166,0.19800375,0.190907,0.1842069,0.1786267,0.17448914,0.17278683,0.17505671,0.18123524,0.18815817,0.1900152,0.18314348,0.16823252,0.15051384,0.13450332,0.12207708,0.11275041,0.10745791,0.10886684,0.118200235,0.13190985,0.14274846,0.1454211,0.13983846,0.12988003,0.11931171,0.11132789,0.11027974,0.12089225,0.14314394,0.16854735,0.18427707,0.18252258,0.16557126,0.14255835,0.12167152,0.1075351,0.10324615,0.11258286,0.13698596,0.17130113,0.20460898,0.22666304,0.23407672,0.23059613,0.22253013,0.21513444,0.21142592,0.21325569,0.22066124,0.23168008,0.24234708,0.24891134,0.24973553,0.24589814,0.2399848,0.2338909,0.22852053,0.22448386,0.22327971,0.22533117,0.22762084,0.22421622,0.21185564,0.19458152,0.18162028,0.17929924,0.18662196,0.19848926,0.21310836,0.2325176,0.25688872,0.27850124,0.28537455,0.27079585,0.24016152,0.20759992,0.18566775,0.1773653,0.17620729,0.17361033,0.16636641,0.15809362,0.15453611,0.1576861,0.16525537,0.17377108,0.18192457,0.1906171,0.20202154,0.21906771,0.24297476,0.2700772,0.2903973,0.29408097,0.27945638,0.255584,0.2350656,0.2250703,0.22474569,0.22927175,0.23490502,0.23991597,0.24325262,0.24359949,0.24083567,0.23718558,0.23641916,0.24082892,0.2494442,0.25907028,0.2673168,0.27343562,0.27730653,0.27736795,0.27221054,0.2619045,0.2493353,0.23747997,0.22815977,0.22139716,0.21716094,0.21542805,0.21542935,0.21512152,0.21253604,0.20774007,0.20263053,0.199122,0.19757025,0.1983627,0.20393538,0.21842557,0.24249606,0.2693077,0.28680637,0.2872006,0.27383724,0.25829616,0.2502344,0.25051716,0.25343582,0.25331748,0.2482598,0.23882705,0.22585338,0.21007769,0.19344056,0.17844741,0.16705877,0.1595128,0.15612465,0.15802665,0.16677146,0.18167831,0.19931988,0.21487202,0.22491539,0.22801147,0.22410083,0.21344173,0.1972747,0.17860639,0.16181964,0.15054417,0.14561532,0.1449228,0.14565594,0.14611723,0.14621091,0.14555241,0.14307758,0.13765478,0.12970503,0.120660774,0.11136415,0.10133624,0.089925595,0.07808509,0.06799681,0.061478022,0.05856277,0.058343247,0.06044082,0.06538641,0.07348207,0.08342465,0.092730224,0.09894205,0.10104689,0.099352926,0.095517375,0.09254194,0.09529453,0.1085816,0.13367756,0.16512327,0.19278044,0.20776857,0.20796055,0.19789703,0.18439077,0.17220028,0.16291302,0.15621041,0.15142281,0.14792164,0.145139,0.14240257,0.13936691,0.13593549,0.13215064,0.12814549,0.124727845,0.12373373,0.12620564,0.13050465,0.13163336,0.12554272,0.112301074,0.09701144,0.08473437,0.077445485,0.07344945,0.071028344,0.070124365,0.07152527,0.07467287,0.07699445,0.076300025,0.072401285,0.06732645,0.06278218,0.05958798,0.058534354,0.06194419,0.07186716,0.08722154,0.102481715,0.11143792,0.11131982,0.10456377,0.09553361,0.087486975,0.081392534,0.07757789,0.07655691,0.07844364,0.08188712,0.084401704,0.084300995,0.08188915,0.0789598,0.07678682,0.07552099,0.07504487,0.07652029,0.080945596,0.08735955,0.09161785,0.09045846,0.08422498,0.07733319,0.07340083,0.072996534,0.07485989,0.079097725,0.08683613,0.097008616,0.105475806,0.10872337,0.1082851,0.10978558,0.11703005,0.12827209,0.13876818,0.14749329,0.15762365,0.1723491,0.18841857,0.1998951,0.20336013,0.2023464,0.2013027,0.2013852,0.19997323,0.19633748,0.19321282,0.1937239,0.1978754,0.20340939,0.20965658,0.21755989,0.22723448,0.23584644,0.24106532,0.24467373,0.25219283,0.26744732,0.2879119,0.30659834,0.3173283,0.3193294,0.31542927,0.30866352,0.29940352,0.28635332,0.26856998,0.24676223,0.22317314,0.19981243,0.17879361,0.16317849,0.15834558,0.16844916,0.19224145,0.22149567,0.24632578,0.26116002,0.26698035,0.26744106,0.26494965,0.25873086,0.24674737,0.22714627,0.2000895,0.1678098,0.1351022,0.10756678,0.08977807,0.082625784,0.08340752,0.08768783,0.093087666,0.10051172,0.111975975,0.12636949,0.1391698,0.14738514,0.15468456,0.16981389,0.1982616,0.23572366,0.26991224,0.28912187,0.28929472,0.27414784,0.2507729,0.22596718,0.20552158,0.1945625,0.19493061,0.20353961,0.21276174,0.2165757,0.21358591,0.2061667,0.19558072,0.18167573,0.16651778,0.15754743,0.1633783,0.1865566,0.21880007,0.24645217,0.2589248,0.25543958,0.24231017,0.22695868,0.2126826,0.19888084,0.18383189,0.16671419,0.14792253,0.1282124,0.109425664,0.094542444,0.08718505,0.08861969,0.09718772,0.10994626,0.12705506,0.1509694,0.18264161,0.21591823,0.24082302,0.2501097,0.24568526,0.23550422,0.22730447,0.22402616,0.2253551,0.23056476,0.23951788,0.25076875,0.26134717,0.26793805,0.26970875,0.26803732,0.26503345,0.2613673,0.25667718,0.25059304,0.24354105,0.2355691,0.22681697,0.21787895,0.21248919,0.21430813,0.22502194,0.23983538,0.2524881,0.2580186,0.25676715,0.24950731,0.23601268,0.21508838,0.18971574,0.16709149,0.15476114,0.15450753,0.16227897,0.17333238,0.1879855,0.21057011,0.24326718,0.28071687,0.3132324,0.33323696,0.34038615,0.33742177,0.32649246,0.30748203,0.28282633,0.25850838,0.24137656,0.23395193,0.23320706,0.2337449,0.23196034,0.22839539,0.22608997,0.22712243,0.22997995,0.2308032,0.2265545,0.21640702,0.20059387,0.17950983,0.15558559,0.13421236,0.121610016,0.11984717,0.12549333,0.13236062,0.13648249,0.13764133,0.13779797,0.13818772,0.13843898,0.13712694,0.13312687,0.12642482,0.119529456,0.11771371,0.12776761,0.15295209,0.18969023,0.22755058,0.2560023,0.27022067,0.27369228,0.27416608,0.27838573,0.28814813,0.30036417,0.30995074,0.31321076,0.3095609,0.30041358,0.28727782,0.27025738,0.24935667,0.22669868,0.20901056,0.20579247,0.22330283,0.25822708,0.2970992,0.32453665,0.33120596,0.31734824,0.28864935,0.25295892,0.21862872,0.19408225,0.18614702,0.19721429,0.22348255,0.25531492,0.2810394,0.29314157,0.29131266,0.280485,0.26491436,0.24552234,0.22198898,0.19627984,0.17346878,0.158087,0.15115947,0.14938134,0.14843126,0.1451909,0.1384681,0.1289831,0.120522656,0.12170988,0.14025658,0.17645471,0.21696961,0.24391337,0.24423094,0.2196408,0.18193549,0.1478478,0.1295703,0.13319784,0.15592752,0.19036879,0.22565103,0.25350058,0.2690476,0.27306095,0.26792398,0.25584298,0.23738061,0.21441853,0.19116396,0.17285876,0.16153948,0.15503348,0.14934607,0.14288767,0.13701978,0.1337201,0.13361545,0.13673101,0.1441855,0.15722726,0.17524166,0.19477697,0.2119735,0.22478227,0.23335852,0.23800264,0.23815382,0.23305762,0.22415395,0.21450245,0.20778304,0.20441334,0.2037527,0.20415819,0.20760816,0.21630035,0.2325605,0.25389728,0.27484262,0.2879757,0.28911233,0.27873078,0.2614651,0.24272169,0.22686665,0.21668227,0.2132685,0.21537775,0.21956821,0.22236289,0.22218643,0.21998441,0.21702884,0.21360035,0.20829111,0.1995182,0.18639831,0.16980477,0.15266758,0.13974625,0.13590115,0.14240904,0.15490662,0.16465627,0.16481985,0.15458582,0.13921192,0.12459185,0.11429147,0.10949946,0.11137294,0.12002949,0.1325427,0.14252919,0.14439492,0.13740267,0.12608315,0.116225354,0.1115228,0.11350713,0.12294972,0.13967918,0.16059814,0.17986001,0.19177999,0.19411252,0.18802129,0.17730266,0.16860396,0.17288847,0.1992187,0.24670179,0.29778874,0.32983044,0.32835916,0.2989476,0.25839654,0.22406189,0.2033347,0.19605486,0.19941561,0.21101297,0.2285151,0.24697912,0.26212454,0.2711936,0.27560106,0.27645552,0.2746764,0.26968202,0.26283714,0.25646985,0.25344443,0.25388622,0.2552854,0.2531137,0.24447648,0.22958434,0.21243513,0.19838686,0.19290043,0.20054166,0.22364724,0.2596671,0.29975757,0.33309516,0.35327426,0.36086118,0.35893798,0.34751138,0.32540393,0.29593647,0.2711408,0.26350144,0.27633205,0.2973769,0.30875012,0.2986063,0.26940998,0.23181836,0.19758637,0.17600173,0.17669606,0.20794432,0.26980844,0.3491312,0.42427924,0.47729063,0.5009176,0.49791583,0.47306943,0.43116173,0.37834582,0.32827154,0.29759887,0.2977192,0.32308137,0.35560408,0.3736563,0.36616576,0.3338374,0.2890735,0.24835633,0.22728236,0.23302567,0.26246604,0.3042359,0.34490225,0.37504756,0.39161038,0.39674667,0.3940514,0.3863071,0.37537917,0.36348367,0.35391414,0.34945628,0.35070792,0.35542783,0.36088184,0.36578628,0.37057516,0.3755883,0.380618,0.38521242,0.3899701,0.39534536,0.40147373,0.4067144,0.4087299,0.4046063,0.39284804,0.37505576,0.35659805,0.34501716,0.3451105,0.35620365,0.37187004,0.38478526,0.3902243,0.38795772,0.38055396,0.37143746,0.3633074,0.3575206,0.35448882,0.35348335,0.3530575,0.35084355,0.34566012,0.33827472,0.3314201,0.32591966,0.3190337,0.30600098,0.28661183,0.2670946,0.2562912,0.25605956,0.2597206,0.256964,0.243362,0.22149284,0.19742464,0.17575173,0.15985537,0.15240622,0.15420207,0.16086943,0.16485737,0.16051583,0.14929284,0.1363463,0.1255502,0.11625903,0.10791176,0.10219955,0.10207743,0.10642765,0.11050365,0.109950125,0.10528293,0.10075655,0.10043335,0.10637674,0.11943915,0.14051849,0.16814168,0.19756301,0.22231118,0.24005271,0.25222573,0.26112786,0.26487073,0.26246786,0.25804436,0.26186547,0.27994892,0.30640653,0.32497022,0.3225126,0.30148783,0.27892593,0.27253297,0.28685045,0.31322804,0.33946076,0.35792255,0.36413026,0.35426068,0.32670096,0.28748596,0.24851938,0.219811,0.20194632,0.18969925,0.18114394,0.181897,0.19722873,0.22157408,0.23940907,0.23805879,0.2199813,0.1997539,0.19110785,0.19646703,0.20990093,0.22594665,0.24375196,0.26239035,0.27502775,0.272004,0.24976377,0.21711522,0.18842705,0.1731094,0.16994844,0.1739461,0.18223833,0.19451769,0.20696706,0.212803,0.20811276,0.19653372,0.18544848,0.1780168,0.17275691,0.16872339,0.1722663,0.19061123,0.22437394,0.26161873,0.28819677,0.29573426,0.28641233,0.26519242,0.23638718,0.20357858,0.17420383,0.15811865,0.16174173,0.18216343,0.20856915,0.23005079,0.24277759,0.24953298,0.25364494,0.25507066,0.25336844,0.25180113,0.2552835,0.2642499,0.27253747,0.27424443,0.27014723,0.2668545,0.26902238,0.27523673,0.28135422,0.28551733,0.2888018,0.29094192,0.28867963,0.27863976,0.26215762,0.2455061,0.23500912,0.23196514,0.23262727,0.23294252,0.23244412,0.23381145,0.2390859,0.24764276,0.2567792,0.26399586,0.26660118,0.2612069,0.24505074,0.2210092,0.1993651,0.19118924,0.1984852,0.21129037,0.21906768,0.22122955,0.2280444,0.24646814,0.2727975,0.2947327,0.3047751,0.30379483,0.29873773,0.29377782,0.28993747,0.28599206,0.28197384,0.27715373,0.2698915,0.25808102,0.24302697,0.22976686,0.22390383,0.22644924,0.23313253,0.23901434,0.24307168,0.24739535,0.25208902,0.25290912,0.24558468,0.23107849,0.2158436,0.205325,0.19984712,0.19568276,0.19113486,0.18740614,0.18670328,0.18720497,0.18581332,0.18063098,0.17496364,0.17254557,0.17466164,0.1775891,0.17792393,0.17503585,0.17187177,0.17017376,0.17040534,0.1731071,0.18121903,0.1958565,0.21293859,0.2245922,0.22688638,0.22309017,0.21978365,0.21986704,0.22262053,0.22835271,0.24066687,0.26131988,0.28445706,0.2984842,0.29542047,0.2783129,0.25830254,0.24411584,0.23629904,0.23156136,0.2318996,0.24423724,0.2725476,0.30996525,0.34321848,0.361034,0.3604457,0.34411123,0.31666985,0.28321892,0.2508367,0.22830369,0.22082983,0.22509988,0.22975625,0.22593029,0.21530049,0.20865743,0.21381472,0.22901839,0.24719548,0.26496848,0.28412306,0.3057115,0.32544065,0.3359371,0.3315641,0.31247297,0.28475687,0.25962034,0.24759294,0.25317398,0.27140403,0.2924384,0.30781633,0.31447384,0.31401387,0.30968475,0.30506456,0.30234873,0.30263194,0.30480623,0.30731276,0.3088678,0.30989626,0.3112199,0.3128014,0.31307518,0.31039628,0.3047464,0.2983035,0.294089,0.2938842,0.29721782,0.30187702,0.3060179,0.3084303,0.3085611,0.30517492,0.29781425,0.28692034,0.2740626,0.2603789,0.2469055,0.23505156,0.22552377,0.21727169,0.2073884,0.19542368,0.18392487,0.17687173,0.17499475,0.17689122,0.18263336,0.19519484,0.21702759,0.24481745,0.27110982,0.28932452,0.29880562,0.3024398,0.30186298,0.29549786,0.28248033,0.26767048,0.2605504,0.26816794,0.2885423,0.31174,0.32769027,0.33267292,0.32989144,0.32456756,0.32055262,0.31903255,0.31995627,0.32131958,0.31999898,0.31263447,0.29976952,0.28587517,0.2769637,0.27509475,0.2784799,0.28456488,0.2940322,0.30834675,0.3262169,0.34127855,0.3467212,0.3392487,0.3222331,0.30277058,0.2884593,0.28313017,0.28623185,0.2942274,0.30260596,0.3067626,0.30254948,0.28961375,0.27452722,0.26873085,0.2803411,0.30650207,0.3356755,0.35657713,0.36636925,0.3689549,0.3698156,0.37182286,0.37675712,0.3853008,0.39648715,0.40616822,0.40990388,0.4047636,0.3906109,0.36755803,0.33689463,0.30108416,0.26631564,0.23964351,0.22647865,0.22558028,0.23039679,0.23351704,0.23289889,0.23182876,0.23435505,0.24084206,0.24845994,0.25413337,0.25693086,0.25784037,0.25940958,0.26410225,0.2728066,0.283075,0.29082754,0.29324976,0.29107448,0.2866715,0.28190157,0.27682528,0.27206102,0.2690054,0.270187,0.27569693,0.28315055,0.28716767,0.28405586,0.27308834,0.25700253,0.23828195,0.2188295,0.20144266,0.19138217,0.19352043,0.20751737,0.22659244,0.2415486,0.24723713,0.24454683,0.23790987,0.2305464,0.22354263,0.21751253,0.21466671,0.21702643,0.22368884,0.22949655,0.22826576,0.21626718,0.19447772,0.16700952,0.13988921,0.119189106,0.110242166,0.11457184,0.12906902,0.14643122,0.1601,0.16691963,0.16821976,0.16663288,0.16433431,0.16224158,0.16093254,0.16053925,0.16001622,0.15730025,0.15069559,0.140769,0.12991849,0.12090817,0.11500197,0.11237392,0.112698644,0.115807734,0.120817326,0.1258639,0.12857275,0.12774399,0.12419201,0.120010495,0.11687585,0.11517305,0.11497129,0.11705326,0.12243527,0.13034247,0.13733591,0.13943885,0.1352474,0.12708406,0.11863548,0.11226684,0.10829863,0.10622121,0.10570323,0.1061246,0.10673233,0.106935136,0.10760587,0.10992685,0.114488095,0.11994487,0.12446133,0.12701537,0.12833197,0.1295556,0.13090278,0.13141353,0.13051616,0.12891303,0.12810205,0.12850551,0.12909739,0.12827297,0.12555157,0.12182727,0.11840879,0.115944326,0.11417969,0.1130651,0.112918705,0.11427027,0.11661154,0.11924393,0.12219113,0.12708147,0.13493235,0.14430042,0.15109473,0.15206529,0.14724879,0.13980691,0.1328262,0.12750001,0.12362117,0.121272616,0.12105874,0.12260425,0.12420749,0.12415568,0.123354934,0.124062486,0.12721878,0.13009553,0.13002177,0.12813461,0.12934501,0.13631302,0.1458804,0.15226182,0.15378533,0.15402688,0.1563045,0.15873863,0.15682477,0.1501022,0.14318103,0.14057362,0.1408547,0.14014429,0.1384059,0.14161848,0.15423511,0.17251068,0.1871904,0.19367366,0.19701111,0.20511048,0.21893547,0.23178627,0.238955,0.24345428,0.2516092,0.26276186,0.26965013,0.26644894,0.25644884,0.24675637,0.24099183,0.23733188,0.23633485,0.24307053,0.26151147,0.28582296,0.3034067,0.30672193,0.3011606,0.29988837,0.31009352,0.32684517,0.3377703,0.3347522,0.31922767,0.29936972,0.2828036,0.27186573,0.26430973,0.25570828,0.24265563,0.2238236,0.20145798,0.1809414,0.16947006,0.17154324,0.18604483,0.20675279,0.23012304,0.2598654,0.30433628,0.36253986,0.42006204,0.45530114,0.45982227,0.441723,0.41951525,0.4046117,0.39795017,0.39459053,0.39042735,0.38604394,0.38213703,0.3803192,0.37955806,0.3795375,0.37880635,0.3763919,0.37179533,0.36604366,0.3623297,0.36226746,0.36456642,0.36354032,0.3552047,0.3396046,0.32206944,0.30729485,0.29676756,0.28767636,0.2777283,0.26779425,0.26254115,0.2655309,0.27754328,0.29745486,0.32772538,0.3677543,0.41098985,0.4388174,0.4400663,0.4146417,0.3805094,0.3523167,0.34012723,0.3438332,0.36312512,0.39320192,0.42401552,0.44134316,0.4381717,0.42406818,0.4188398,0.43465057,0.4619778,0.47852454,0.4695253,0.44037214,0.40777728,0.3848747,0.37286422,0.36771503,0.36452731,0.3622431,0.35847798,0.35206714,0.34008166,0.3221959,0.29859385,0.27308422,0.25030956,0.23525892,0.22994705,0.23410793,0.24506187,0.25921378,0.27231124,0.28186062,0.28804234,0.29319245,0.29954454,0.30939126,0.32805967,0.36246705,0.41391388,0.46876526,0.504337,0.5045505,0.4752475,0.43749106,0.41121706,0.40144435,0.40197322,0.40452936,0.40505883,0.40265608,0.39711535,0.38860032,0.37886354,0.37145707,0.36935937,0.37282932,0.37867013,0.3833801,0.3838106,0.37968516,0.3716632,0.3640089,0.35960498,0.35985935,0.36008394,0.3553369,0.34143493,0.31964543,0.29392815,0.27081618,0.25541574,0.25198355,0.2636031,0.29563162,0.3481224,0.4124162,0.46604696,0.4913899,0.48309496,0.4552603,0.42116594,0.3893461,0.35983256,0.3374842,0.327822,0.33173418,0.33874068,0.33765408,0.33163333,0.3389447,0.37559947,0.43264225,0.4810667,0.49411622,0.4718862,0.4346763,0.40460464,0.3882221,0.38106266,0.37599647,0.36954007,0.3599286,0.34601393,0.32763198,0.30669245,0.28672376,0.27153072,0.26330057,0.26152086,0.26285478,0.26350537,0.26124457,0.25628492,0.2494945,0.24117191,0.2310843,0.21912801,0.20630203,0.19646432,0.19960839,0.22958128,0.29287183,0.37648657,0.45052657,0.48906675,0.48836923,0.46548906,0.43978953,0.41999993,0.4058813,0.3964859,0.39332256,0.39690253,0.40446636,0.41108546,0.41397405,0.41407356,0.41453457,0.41702804,0.41972685,0.41891328,0.4111869,0.3954232,0.37244645,0.34424233,0.3138012,0.28311732,0.25397587,0.22590216,0.20031726,0.18079545,0.17537075,0.19025558,0.22415538,0.26733777,0.31035182,0.35363042,0.40293443,0.45558444,0.49504468,0.50360584,0.48124668,0.44363078,0.408406,0.38095024,0.36134526,0.3525946,0.36150488,0.38672438,0.4140475,0.42697403,0.42516267,0.42618218,0.4472468,0.4832747,0.51025486,0.508253,0.48014316,0.44523945,0.41937947,0.40465525,0.39463773,0.385084,0.37562788,0.36648712,0.35510597,0.33871272,0.31725606,0.29391122,0.27288234,0.25714839,0.24917884,0.2511994,0.264721,0.28685415,0.3095244,0.3217548,0.31718493,0.29855022,0.2770883,0.26461288,0.26842582,0.29005504,0.32980132,0.38213077,0.43513548,0.4687008,0.47350955,0.45374873,0.4292003,0.41193524,0.40570354,0.40297428,0.40031815,0.39572892,0.3908932,0.38534907,0.37938055,0.37343362,0.36834946,0.36420235,0.3598806,0.3556116,0.3519456,0.34909153,0.3431921,0.3290229,0.30307332,0.2682981,0.23300938,0.20735915,0.19695055,0.19948892,0.20595604,0.2080226,0.2033516,0.19547217,0.18941838,0.19066991,0.2089783,0.2519392,0.31695524,0.3802543,0.41556445,0.40889204,0.37335524,0.32955816,0.29413596,0.27129474,0.26467803,0.2781103,0.30957273,0.3437759,0.3622197,0.36198762,0.3614218,0.3802154,0.41735467,0.44947076,0.4568435,0.43950292,0.41561982,0.39941975,0.3938197,0.39180347,0.38814986,0.38093832,0.37137517,0.36058065,0.35184464,0.35164687,0.3658842,0.39079666,0.409508,0.4028109,0.36661437,0.31672856,0.27573967,0.25529158,0.253373,0.26395178,0.2852957,0.31552228,0.34553933,0.36203647,0.36163414,0.36014926,0.37768033,0.4196018,0.46389422,0.48687753,0.47834563,0.4543431,0.43118218,0.4190811,0.41304442,0.40933076,0.4053125,0.4041357,0.40640488,0.4113029,0.41480222,0.41431907,0.40909258,0.40077665,0.39141595,0.3826551,0.3752537,0.36878094,0.36177802,0.35268188,0.3412592,0.32901582,0.31808007,0.30918017,0.30066153,0.28956398,0.27530003,0.26199043,0.25703177,0.26630834,0.29096028,0.32892767,0.37477705,0.41875982,0.44563493,0.44405237,0.41560063,0.37634912,0.34472403,0.33009097,0.33156374,0.34507906,0.368656,0.39865565,0.4262623,0.4408042,0.4409577,0.43888593,0.44785142,0.46847403,0.4844598,0.48253688,0.46255013,0.43957725,0.4247986,0.42033505,0.41887727,0.4145961,0.4045949,0.39017996,0.3735764,0.3587425,0.3479929,0.3407695,0.33187997,0.3155769,0.28969815,0.2589914,0.23322684,0.22161166,0.22642316,0.24112594,0.25627017,0.2675407,0.27843907,0.29365394,0.31440875,0.33946988,0.37315997,0.4191612,0.4739566,0.51786655,0.5339236,0.51813096,0.48813763,0.46202514,0.44960645,0.44582722,0.443598,0.43806282,0.43023586,0.42263007,0.41745695,0.4150994,0.41438666,0.41356063,0.41077867,0.40542063,0.39764035,0.38775948,0.37412837,0.35390744,0.32532397,0.2908875,0.25644544,0.22781794,0.20700294,0.1921103,0.1799463,0.16970623,0.16416794,0.16664582,0.17799795,0.19684257,0.22699726,0.27544507,0.34499523,0.41933024,0.47302762,0.4863142,0.46419075,0.42381355,0.382957,0.34768263,0.32276523,0.31213328,0.31804934,0.33134758,0.34045306,0.34203967,0.35130787,0.38476893,0.44299078,0.5003255,0.52794796,0.5146637,0.4767525,0.43861976,0.4164925,0.4104792,0.41330275,0.4159837,0.41165993,0.39432606,0.36199835,0.31889033,0.27605867,0.24508516,0.2304455,0.2270844,0.22661786,0.22683956,0.23167007,0.24348338,0.25477394,0.25492778,0.24058919,0.22136073,0.20890085,0.20951788,0.22436436,0.25949082,0.32012668,0.39982447,0.47152066,0.5074478,0.49844122,0.4629918,0.42656478,0.4048938,0.3969141,0.3952198,0.39377356,0.39129284,0.3889085,0.38786468,0.38839936,0.38953736,0.390021,0.3887401,0.38524053,0.3793522,0.3709586,0.35955235,0.34417453,0.3241516,0.30026606,0.27556637,0.25343862,0.23513795,0.21883292,0.20318991,0.19068336,0.18724798,0.19642387,0.21665287,0.24425554,0.28093696,0.3313849,0.39293644,0.44791302,0.4739472,0.46325004,0.4284543,0.38898835,0.35401595,0.32300937,0.29885268,0.29341397,0.31598067,0.35853323,0.39820746,0.4186403,0.42658138,0.44279674,0.47633645,0.5099564,0.5180782,0.49182448,0.4488416,0.41339454,0.3976437,0.39557645,0.39554644,0.38864326,0.37388775,0.35387626,0.33484116,0.32197967,0.31880537,0.32241818,0.32424322,0.3137627,0.28698027,0.25152078,0.22096224,0.20434773,0.19951259,0.200122,0.20423806,0.2158196,0.23629369,0.26092592,0.2842394,0.30952483,0.34399554,0.38898924,0.42997536,0.45047274,0.4438217,0.42139354,0.39872348,0.38449875,0.37828848,0.3751786,0.37387928,0.3725033,0.3714657,0.36828482,0.36400616,0.35924712,0.3566859,0.35598096,0.3556563,0.35295722,0.34615982,0.333697,0.31356117,0.28475738,0.24998192,0.21664952,0.19323243,0.18404974,0.18621804,0.19171353,0.19308889,0.18793361,0.17862153,0.16914165,0.16451131,0.17402053,0.2081496,0.26822677,0.33651122,0.3846912,0.39399675,0.36788002,0.3252674,0.2829276,0.24991207,0.23088712,0.23389243,0.2617947,0.3048906,0.3402023,0.35284117,0.35116437,0.3593434,0.39096668,0.43170103,0.45703575,0.45464525,0.43616045,0.41800523,0.40755817,0.40000454,0.38862303,0.3720458,0.3522694,0.3335202,0.31967995,0.31696144,0.3302009,0.35686588,0.38245025,0.38625738,0.35774317,0.30615747,0.25428706,0.22014791,0.20653878,0.20827281,0.22392435,0.2565753,0.3010173,0.33730316,0.34319568,0.31451198,0.27017578,0.23563445,0.22217934,0.22259115,0.22206372,0.21158092,0.19216065,0.17128797,0.15705417,0.15362334,0.16013475,0.17132021,0.18060303,0.18300305,0.17795031,0.16939487,0.16274334,0.16121577,0.16328377,0.1657508,0.16657144,0.16728036,0.16954373,0.17262954,0.17289124,0.1673343,0.15646762,0.14309965,0.12977685,0.11682839,0.104472406,0.09403197,0.08760932,0.085432954,0.08492156,0.08271069,0.07754854,0.0712628,0.06638094,0.063797556,0.062983684,0.06452199,0.070809685,0.083404474,0.099557854,0.11283753,0.11753651,0.11286008,0.10259371,0.09198477,0.0854584,0.08706025,0.100268036,0.12557362,0.15739448,0.1858166,0.20252389,0.20655423,0.20412916,0.20380424,0.2113498,0.22707601,0.24659698,0.26269028,0.2695978,0.26526663,0.25268456,0.2367267,0.22206579,0.21066536,0.20235278,0.19569413,0.18991911,0.1855107,0.18261231,0.17942981,0.17240985,0.15998794,0.14486128,0.13266294,0.1269777,0.1270385,0.1304761,0.13824151,0.15452494,0.17989184,0.205545,0.21637522,0.20360385,0.17262249,0.13987209,0.118860304,0.11245347,0.11448305,0.11964697,0.12731609,0.13918965,0.15311229,0.1633174,0.16479497,0.15845503,0.14985721,0.14528286,0.14782964,0.15782988,0.1733917,0.19036196,0.20219196,0.20292057,0.19196914,0.17482872,0.15915245,0.14906901,0.14449708,0.14372772,0.1455435,0.14879878,0.15104635,0.15014812,0.14580275,0.1402965,0.13550891,0.13196284,0.1302178,0.1344493,0.15092926,0.18123274,0.21648745,0.24054086,0.24192679,0.22206484,0.19322391,0.16768189,0.15088718,0.14197575,0.1386865,0.1394423,0.14248657,0.14516206,0.14527364,0.1427295,0.13916804,0.13619924,0.13470232,0.13623552,0.14447814,0.16273445,0.18905838,0.21352072,0.22400446,0.21541722,0.19444507,0.17366211,0.16197973,0.1600288,0.16338922,0.16793753,0.17154163,0.17278361,0.1696381,0.16117924,0.14874338,0.1358143,0.12527464,0.11904619,0.118861236,0.12679394,0.14178185,0.15721087,0.16332082,0.15501204,0.13579248,0.11473922,0.09856451,0.08854126,0.08264443,0.08044267,0.08339719,0.09268599,0.1057649,0.11755648,0.1230822,0.121170245,0.11395952,0.10518298,0.09768043,0.093450926,0.09358125,0.09757912,0.10230848,0.103405096,0.09880465,0.09086362,0.084142625,0.08111283,0.08049645,0.08010296,0.08003589,0.082256176,0.087308705,0.09247323,0.09417936,0.091064334,0.084785424,0.07749337,0.07061995,0.06572249,0.06626844,0.07515665,0.0911664,0.10699919,0.11481625,0.111643165,0.10154285,0.0904752,0.08227553,0.07774732,0.07722031,0.08081866,0.08727365,0.09299069,0.094674,0.09177378,0.08701531,0.083143346,0.08083881,0.07906448,0.0779155,0.07923221,0.08401581,0.08973562,0.09115336,0.08546693,0.075015046,0.06564265,0.060797017,0.05957666,0.059166897,0.059673622,0.063967645,0.07356599,0.084778726,0.09101859,0.0884357,0.07908591,0.06829768,0.05995648,0.055225477,0.054574396,0.059456512,0.07025179,0.08357316,0.092980295,0.0937384,0.08669732,0.07690524,0.06870226,0.0628205,0.05848828,0.05725589,0.06262082,0.07573729,0.09166098,0.10240585,0.103254445,0.0965974,0.08851448,0.08353475,0.08269205,0.086629294,0.0964529,0.11172996,0.12655877,0.13344914,0.1293285,0.12013798,0.11464877,0.11727553,0.12588668,0.13792484,0.1542361,0.17524803,0.19569959,0.20662181,0.20509982,0.19828503,0.19735135,0.20630467,0.22007525,0.2311228,0.23726045,0.24050854,0.24243097,0.24155207,0.23812515,0.23646082,0.2428261,0.25806352,0.27637097,0.28999746,0.29674256,0.30019367,0.30480716,0.31052557,0.31463182,0.31629536,0.31838608,0.3240678,0.3317876,0.33681452,0.33480558,0.32714936,0.31894526,0.3144683,0.31271997,0.30684897,0.29117793,0.2646725,0.23449963,0.20833017,0.19102508,0.18022609,0.17092109,0.15800352,0.13996999,0.119504966,0.10368692,0.10036289,0.11273539,0.13561557,0.1588765,0.17550103,0.18702622,0.2022978,0.22816229,0.26377842,0.29825458,0.32057956,0.3250888,0.31603178,0.30019978,0.283535,0.26766792,0.25277838,0.23840064,0.22462131,0.21174653,0.20021401,0.19021513,0.18155046,0.17392154,0.16783328,0.16466387,0.16693677,0.17613165,0.19221981,0.21156846,0.22963583,0.24207175,0.24773073,0.24694084,0.24027558,0.22796573,0.21170242,0.19646643,0.18716057,0.18510486,0.18558365,0.18312232,0.17504299,0.16230996,0.14571369,0.1260619,0.10665045,0.094772935,0.096616924,0.11245356,0.13504007,0.15584856,0.16948538,0.1760366,0.17757875,0.17588796,0.1711126,0.16299261,0.1521466,0.14060958,0.13111924,0.12512256,0.12167583,0.118007086,0.11195064,0.103288375,0.0942631,0.08936086,0.09607234,0.1218138,0.16885366,0.22830354,0.28443703,0.32297048,0.34062615,0.34255466,0.33658043,0.32629278,0.31216404,0.29377422,0.2725253,0.25092918,0.23157434,0.21584041,0.20350619,0.19294591,0.1818174,0.16855164,0.15485461,0.14689398,0.15454452,0.18306006,0.22821407,0.2733346,0.30207214,0.3059176,0.29086673,0.26792872,0.24741699,0.23307337,0.2243614,0.218114,0.21110879,0.20170678,0.19087167,0.18137915,0.17559922,0.17321308,0.17152898,0.1673428,0.16010422,0.15183182,0.1457852,0.14300525,0.14244334,0.14177234,0.1399073,0.13675863,0.13283357,0.1283607,0.12356355,0.1189192,0.11499676,0.112141095,0.11027504,0.109309286,0.1095398,0.11143055,0.11488878,0.11856461,0.12029308,0.118164144,0.111646436,0.101653896,0.08981615,0.07742024,0.064991444,0.052645594,0.040985223,0.031553015,0.026443938,0.027262056,0.034180474,0.045836315,0.059843708,0.07381376,0.085924946,0.09503889,0.100096226,0.0999789,0.09603671,0.0944767,0.10698634,0.14078061,0.19204772,0.24262469,0.27586356,0.28459236,0.27642953,0.26117215,0.24634098,0.23335154,0.22180693,0.21054852,0.19883712,0.1868028,0.17475057,0.16283172,0.14937718,0.13222457,0.11039712,0.088690035,0.07733085,0.088314824,0.12423416,0.17452526,0.2181049,0.23895217,0.23352416,0.21187927,0.18612516,0.164577,0.14924939,0.13967574,0.13492244,0.13423239,0.13676311,0.14065498,0.14390783,0.14461714,0.14229105,0.13714106,0.13002767,0.121882595,0.113968045,0.107384056,0.10252863,0.09898151,0.09609237,0.09375656,0.09149215,0.088070124,0.08174595,0.07356674,0.067685254,0.06927457,0.079357244,0.09362442,0.10486775,0.107607536,0.10137001,0.090904914,0.083592,0.084284715,0.09254015,0.10400496,0.115164615,0.12524499,0.1347784,0.14304768,0.14835638,0.14938778,0.14629225,0.1403294,0.1333222,0.12665956,0.120621294,0.1144569,0.10773167,0.1013427,0.097240776,0.09692668,0.10098535,0.10997188,0.12596105,0.15092336,0.18308114,0.21434432,0.2341054,0.23655808,0.22445388,0.20602256,0.18812953,0.17366089,0.16260503,0.15547228,0.15393762,0.16014354,0.1745367,0.19458862,0.21475507,0.22797519,0.22874053,0.21567427,0.19385064,0.17349435,0.16770804,0.18584114,0.22897114,0.28635645,0.34155288,0.38036987,0.39865065,0.40036106,0.3924891,0.38017324,0.3663101,0.35244772,0.33913887,0.3261967,0.3132923,0.30066478,0.28880775,0.27767423,0.26643085,0.2540864,0.2403813,0.22596252,0.2118978,0.19896114,0.18742423,0.1770928,0.16759752,0.15843762,0.14924991,0.13986497,0.13036187,0.120835654,0.1113218,0.10191778,0.09288532,0.08466885,0.077712,0.072522335,0.06965065,0.069591284,0.072437115,0.07769362,0.08451473,0.09196794,0.099243544,0.105345935,0.108965,0.10849901,0.103139274,0.094648175,0.088379495,0.09109231,0.10589407,0.12864389,0.15034254,0.1635641,0.1676806,0.16705531,0.16669337,0.16770093,0.16892312,0.1686761,0.16811974,0.16943641,0.17485918,0.18346457,0.19259387,0.19900505,0.20170955,0.20132281,0.19911365,0.19563572,0.19102542,0.18566577,0.18025152,0.17541237,0.17100917,0.16633256,0.16062184,0.1537139,0.14714278,0.14520319,0.15597005,0.18768626,0.24266708,0.31180784,0.37782288,0.42458078,0.4454778,0.4441186,0.42897692,0.40827522,0.38760534,0.36967552,0.35471514,0.34140885,0.32835758,0.31490037,0.30096266,0.28641734,0.27063975,0.2531075,0.23413302,0.21569276,0.20089279,0.19268091,0.19201754,0.19709797,0.20420118,0.20970356,0.21170376,0.21012823,0.2056701,0.19914918,0.19141056,0.18369307,0.17702001,0.1715724,0.16588412,0.15707374,0.14206766,0.119860254,0.093477,0.06951183,0.05533628,0.055240184,0.06825224,0.08859413,0.108591534,0.12248508,0.128523,0.12833804,0.12439249,0.11817358,0.11041259,0.102117695,0.09494991,0.09000713,0.086990945,0.08459636,0.08220472,0.08058301,0.08098417,0.08475692,0.094278194,0.11528339,0.15327139,0.20855503,0.27021334,0.32278088,0.354134,0.36433673,0.36050463,0.3509363,0.33878747,0.32451177,0.30803815,0.29061738,0.27322125,0.25613347,0.23897868,0.22159924,0.20390159,0.1859263,0.16968232,0.1604892,0.16751318,0.19636844,0.24427454,0.29614493,0.33563015,0.35273322,0.35068706,0.3383641,0.32454252,0.3127049,0.30275533,0.29315338,0.282581,0.27046227,0.25685108,0.24245779,0.22840972,0.21545829,0.20380598,0.19307226,0.1831497,0.173992,0.1657273,0.15826474,0.15155877,0.14519437,0.13855495,0.13098629,0.12244803,0.11332056,0.10415289,0.095296,0.08710121,0.07990839,0.07404185,0.06972986,0.06721485,0.066734344,0.06844554,0.07218113,0.07744202,0.08312292,0.08759757,0.08891956,0.08626721,0.081488974,0.07929822,0.08487746,0.099588655,0.11960238,0.13768776,0.14907135,0.15334572,0.1536252,0.15148528,0.14656116,0.13858527,0.1303699,0.12593101,0.12639268,0.12974215,0.13486288,0.14640874,0.17229359,0.21596622,0.27040777,0.32068357,0.35413015,0.36672604,0.3627379,0.34794167,0.32671717,0.3018589,0.2756073,0.2491616,0.22250319,0.19659545,0.17389698,0.15811022,0.15094747,0.1524992,0.16152625,0.17817493,0.20117497,0.2259485,0.24236707,0.24176626,0.22282435,0.19510801,0.17120413,0.15935488,0.158648,0.16340666,0.16773836,0.16962487,0.16948761,0.16849814,0.1663168,0.16193266,0.15482283,0.14544904,0.13425487,0.12117669,0.10728798,0.09633628,0.09267897,0.09735971,0.10576272,0.11173532,0.111727625,0.10648962,0.09768333,0.08636728,0.07426965,0.0654675,0.06516548,0.075089246,0.09168709,0.10752288,0.117295034,0.120682634,0.1221205,0.12533808,0.13063575,0.13487153,0.13558044,0.13294812,0.12955837,0.12762924,0.12761219,0.12833731,0.12862235,0.12792586,0.12654668,0.12502588,0.12415782,0.12423048,0.12495836,0.12536028,0.12490182,0.1236215,0.12208717,0.12102985,0.12213055,0.12887122,0.14478533,0.1699766,0.19759287,0.21704762,0.22013618,0.20720984,0.18480538,0.16055882,0.13837494,0.12009296,0.107872605,0.105546944,0.11543659,0.13634674,0.16300173,0.18941845,0.20990591,0.21971889,0.2146693,0.19505768,0.16885759,0.1516934,0.15861052,0.19500192,0.25156936,0.31092486,0.35747075,0.38557395,0.39751077,0.398694,0.39272794,0.38171995,0.3670523,0.35066918,0.33436358,0.3193933,0.3058529,0.29332834,0.28140435,0.27008262,0.25929028,0.24866126,0.23766904,0.22611797,0.21425045,0.20249484,0.19113998,0.18021359,0.16959919,0.15919887,0.14911841,0.13955833,0.13068126,0.12238317,0.114462435,0.10675353,0.09926895,0.09209767,0.08537727,0.07942114,0.074753396,0.07200368,0.07146866,0.07287935,0.07532092,0.0775747,0.0784781,0.07726809,0.073622294,0.06765792,0.060302448,0.054007336,0.053063545,0.062030416,0.08273991,0.11184147,0.14156975,0.16363722,0.17301102,0.16923618,0.15507771,0.13557597,0.11758039,0.10814476,0.11091732,0.123186864,0.13756837,0.14684595,0.14811867,0.14271493,0.13359842,0.12284666,0.111046754,0.09869585,0.08787599,0.082562454,0.085038595,0.09293964,0.099379174,0.099075645,0.09315459,0.088208795,0.08979102,0.096838824,0.1037302,0.10623894,0.10588502,0.10696102,0.11118355,0.11552471,0.11548674,0.10944831,0.10021942,0.09299628,0.092039354,0.09810754,0.10795856,0.11674768,0.12097671,0.1207251,0.11841195,0.11689666,0.11764919,0.12121284,0.12772645,0.1373517,0.14961536,0.16361056,0.17844355,0.19430621,0.2119395,0.23168044,0.252371,0.27228466,0.2906079,0.30809292,0.3255563,0.34203514,0.3547622,0.3613061,0.3615508,0.35756946,0.3515931,0.34464967,0.3368084,0.32856533,0.3209838,0.31493035,0.3099612,0.30489132,0.29867303,0.2912784,0.28305665,0.2742419,0.26459375,0.2540291,0.24291986,0.23224562,0.223001,0.21587837,0.2107097,0.20682575,0.20320992,0.19947009,0.19578941,0.19310029,0.19215173,0.19326888,0.19601673,0.19969891,0.20355804,0.20671962,0.20814168,0.20702644,0.20352904,0.19873397,0.19371225,0.18873484,0.18323785,0.17666133,0.16884118,0.15989973,0.14988482,0.13846897,0.12510379,0.10891474,0.09015416,0.0714552,0.05916986,0.060079474,0.07710753,0.10544775,0.13550507,0.15830141,0.17043985,0.17380857,0.17262287,0.17050736,0.16874939,0.16668876,0.16222751,0.15417051,0.14264731,0.13000178,0.119352065,0.114088036,0.11567954,0.12297002,0.13235678,0.14040536,0.14592533,0.15024507,0.15549041,0.1624905,0.17013444,0.17600876,0.17828144,0.1770841,0.17512387,0.17654228,0.18491559,0.20095319,0.22219445,0.24454622,0.26530573,0.28393883,0.301288,0.31742594,0.33167684,0.34304348,0.35090426,0.35438085,0.3529183,0.34731779,0.34057716,0.33618942,0.33570448,0.33790645,0.340233,0.34119117,0.34072375,0.33962366,0.33788612,0.33475468,0.32951173,0.32279956,0.31657246,0.3123056,0.30960396,0.30619237,0.30020702,0.29148892,0.28142396,0.27113566,0.26083696,0.25019822,0.23938549,0.22896264,0.21956764,0.21137649,0.2043251,0.19820601,0.19292901,0.1885188,0.18520702,0.18314578,0.18244278,0.18294632,0.18457162,0.18689518,0.18929164,0.19084926,0.1910333,0.18975663,0.18737213,0.18439032,0.18153246,0.17964917,0.17939027,0.18078072,0.1831239,0.1854884,0.18728535,0.18871015,0.190422,0.19306453,0.19666052,0.20064121,0.20401059,0.20573823,0.20510298,0.20217185,0.19808473,0.19493121,0.19486035,0.19937539,0.20839202,0.22035396,0.23187596,0.23903333,0.23847999,0.2296015,0.2146449,0.19779713,0.18303758,0.17276049,0.16736816,0.16534531,0.16397822,0.16039245,0.15326488,0.14341365,0.13309516,0.12398345,0.11588863,0.106749415,0.09413294,0.077103294,0.057671115,0.04048211,0.030781338,0.030915864,0.03934346,0.052500743,0.070287734,0.09702623,0.13791622,0.19105236,0.24603362,0.28863433,0.30983993,0.30957082,0.29532838,0.27662674,0.26088378,0.25132582,0.24783452,0.24841349,0.25090593,0.253973,0.25737143,0.26163015,0.26683176,0.27277872,0.27841708,0.28319526,0.2858509,0.2860558,0.28326508,0.27844822,0.27181312,0.26392958,0.25428918,0.2435167,0.2319142,0.22045524,0.20893736,0.1975293,0.1858197,0.1741832,0.16239645,0.15072666,0.13895142,0.12759934,0.11681563,0.10709682,0.098242365,0.0903128,0.083079845,0.07674593,0.071314245,0.067059696,0.064131,0.06284482,0.06299063,0.06375558,0.06353905,0.06092677,0.055385973,0.04775429,0.03965583,0.032759845,0.028057776,0.025529252,0.024293086,0.023079515,0.021108918,0.018359918,0.015453298,0.012917417,0.010937876,0.0093627265,0.008017462,0.006820778,0.0057670423,0.0048730075,0.004133226,0.0035308034,0.0030300778,0.0025983138,0.002210541,0.0018599108,0.0015462897,0.0012724272,0.0010384636,0.00084491674,0.0006881839,0.0005573399,0.0004379302,0.0003218194,0.00021385652,0.00012621187,6.92076E-05,4.636481E-05]