[2.7527065E-05,2.3907933E-05,1.7002569E-05,1.0413954E-05,6.19725E-06,4.386531E-06,3.827491E-06,3.97104E-06,6.341473E-06,1.811963E-05,5.7434692E-05,0.0001591408,0.00037856257,0.0007979271,0.0015200255,0.002649918,0.00422632,0.006162723,0.00820771,0.010031874,0.011381182,0.012243426,0.01293119,0.013941632,0.015749047,0.018387893,0.021441897,0.024123283,0.025898062,0.026677057,0.026882336,0.0270625,0.027575077,0.02854683,0.029689059,0.030671844,0.031145057,0.031392325,0.032008547,0.03360277,0.03599733,0.03841482,0.040121794,0.041155513,0.042296592,0.044407573,0.047777046,0.051890135,0.055835273,0.058870208,0.060979147,0.06275702,0.065088145,0.068452775,0.07280422,0.07769603,0.08284537,0.088294595,0.09424716,0.10068222,0.107335836,0.11388353,0.12015855,0.12584804,0.13018812,0.13160957,0.12892856,0.12243017,0.11525395,0.111175396,0.11270997,0.11861292,0.12603332,0.1320221,0.13564003,0.13690166,0.13642842,0.13504942,0.13420661,0.13577259,0.14086038,0.14899553,0.15795249,0.1653644,0.16998148,0.1720856,0.17252755,0.17175929,0.16983046,0.16689716,0.16375048,0.16131324,0.15976031,0.15807581,0.15467535,0.1488909,0.1417848,0.13567273,0.13258453,0.13306932,0.13642383,0.1413461,0.14663972,0.15113746,0.15405227,0.15541163,0.15629597,0.15864347,0.16396494,0.17253403,0.18247218,0.1910075,0.1957034,0.19594131,0.19254129,0.18699257,0.18072921,0.17490585,0.17038858,0.16740887,0.16551958,0.16395295,0.16217284,0.1603483,0.1590591,0.15912257,0.16091211,0.16417511,0.16788374,0.1706695,0.17140232,0.16956456,0.16560815,0.16065995,0.15617542,0.1531178,0.15185182,0.15203221,0.15309273,0.15430464,0.15533529,0.15623327,0.15736966,0.1587391,0.15977879,0.15973066,0.15822881,0.15541936,0.15152518,0.14677475,0.14155062,0.13675533,0.13343252,0.13262689,0.13463587,0.13903685,0.14422214,0.14843895,0.15033056,0.14986652,0.1478359,0.14536293,0.1434034,0.14261591,0.14337748,0.14540267,0.1478347,0.14966999,0.15044604,0.15042372,0.149992,0.14947183,0.14891024,0.14844869,0.14806664,0.14765948,0.14715539,0.14664759,0.146434,0.14627804,0.14567102,0.14384891,0.1410421,0.13801976,0.13594548,0.13536005,0.13639371,0.13872695,0.14171766,0.14452039,0.1465738,0.14809592,0.15015633,0.15362042,0.15846111,0.16299678,0.16536106,0.1642973,0.1604382,0.15523982,0.15027662,0.14627199,0.143369,0.14160164,0.14091428,0.14103408,0.14118892,0.14050429,0.1384006,0.13470627,0.12982444,0.12439928,0.11952033,0.11641679,0.11630744,0.119577736,0.12507324,0.13077648,0.13505226,0.13809632,0.14109875,0.1451419,0.15001066,0.15473144,0.15842724,0.1608922,0.16238545,0.16290964,0.16216896,0.16126539,0.16447128,0.18058418,0.2163775,0.27109107,0.3299946,0.37489727,0.39254355,0.3856831,0.364571,0.34148934,0.32196155,0.3085717,0.30151603,0.3007643,0.30500615,0.31110415,0.31554154,0.31393376,0.30492508,0.2889953,0.2700857,0.25106564,0.23445696,0.22070527,0.21019973,0.2021514,0.19542007,0.18837477,0.18030526,0.17185545,0.16504513,0.16174453,0.16224657,0.16477446,0.16683485,0.16666025,0.16396908,0.15913977,0.15303858,0.14674513,0.14249201,0.14224994,0.14677654,0.1538012,0.15992238,0.16250682,0.16182494,0.15992515,0.1585147,0.15742862,0.15484105,0.14944093,0.14159662,0.13373719,0.1286319,0.1278397,0.13087744,0.13562621,0.14013688,0.14340411,0.1457703,0.14744866,0.14805402,0.14646001,0.14178555,0.13411976,0.12453911,0.11468298,0.10575816,0.09828687,0.09219444,0.08749345,0.084548645,0.083486654,0.08378931,0.084022544,0.083164014,0.08093998,0.078120865,0.07528925,0.072867095,0.07120434,0.07113146,0.073096514,0.076242976,0.0782376,0.076957405,0.07221314,0.06634074,0.06270224,0.06398356,0.07016038,0.07870555,0.08536171,0.087711036,0.08602634,0.08328072,0.0816394,0.081507444,0.08144429,0.080136396,0.07710632,0.072873764,0.06858403,0.0655861,0.064956896,0.06688409,0.07065333,0.075111456,0.07960165,0.08432201,0.090116344,0.097287335,0.10484952,0.11062682,0.11348375,0.11485221,0.118638575,0.12760492,0.14098328,0.15474196,0.16551434,0.17343795,0.18155865,0.19266148,0.20613648,0.21810818,0.22376458,0.22079794,0.21115671,0.19972299,0.19141126,0.18770552,0.1871435,0.186783,0.18580027,0.18488157,0.18581103,0.18834352,0.19094878,0.19084418,0.1868064,0.17921124,0.17061369,0.16358401,0.16018754,0.16081096,0.16546334,0.17320861,0.18217139,0.18858618,0.18866807,0.18112798,0.1684765,0.15580386,0.14732449,0.14451979,0.14539394,0.14631344,0.14382464,0.13629092,0.124198735,0.109403335,0.094584666,0.08306307,0.07871264,0.08490423,0.101644695,0.124073304,0.14345531,0.15280737,0.1516837,0.14614804,0.14329447,0.14529468,0.1499544,0.15458678,0.15938659,0.165317,0.17130959,0.17447,0.17328662,0.17015599,0.16954911,0.17406575,0.18169124,0.1871022,0.18549646,0.17574477,0.16126424,0.14824831,0.14215088,0.14404039,0.14939803,0.15152945,0.1462832,0.13502271,0.122318365,0.1127069,0.10840326,0.11012117,0.11831489,0.13257124,0.15116177,0.16981798,0.18424813,0.19074295,0.18820427,0.1767567,0.15812762,0.13499112,0.11131161,0.091145486,0.07720249,0.0698244,0.067387275,0.0677279,0.069360256,0.07193143,0.075702585,0.08065432,0.08576644,0.08925577,0.09013093,0.08964013,0.09117481,0.0974243,0.10823677,0.120850585,0.13337325,0.14636184,0.16154633,0.178612,0.19423117,0.2042119,0.20579164,0.19907631,0.18581218,0.16967689,0.15538432,0.14789009,0.14872146,0.15515889,0.16237655,0.16791646,0.1724144,0.17731778,0.1821974,0.18532409,0.18544334,0.18279825,0.17865093,0.17401038,0.16975959,0.16639198,0.16496187,0.16557325,0.16681938,0.1649219,0.15681386,0.1436459,0.13179392,0.12818924,0.1338571,0.14287432,0.14765833,0.14528853,0.13849764,0.13184035,0.12847638,0.12893276,0.13246442,0.13707417,0.14062859,0.1406516,0.13557906,0.12474057,0.10932982,0.09214676,0.077205114,0.06837968,0.06857785,0.07917049,0.099393524,0.12568446,0.15216418,0.17326386,0.18653716,0.19331014,0.19642608,0.19730003,0.19501233,0.18699963,0.17163114,0.1496499,0.12512995,0.10328721,0.088137545,0.08040649,0.07829522,0.07915083,0.08097402,0.0827846,0.084572375,0.08725661,0.092212744,0.09985701,0.10890455,0.116786025,0.12189358,0.12421932,0.12509607,0.1258804,0.12785457,0.13141344,0.13524091,0.13596642,0.1310423,0.12097599,0.10998317,0.10197136,0.09828648,0.09700816,0.09607073,0.094917625,0.094685435,0.096651845,0.10112671,0.10794675,0.11639034,0.12541445,0.13256137,0.13553013,0.13315329,0.12711357,0.120527536,0.11645243,0.11617338,0.11920192,0.12442863,0.13039571,0.13581218,0.13903858,0.14039576,0.14246891,0.14972125,0.16375612,0.1815689,0.1964693,0.20374893,0.20316143,0.19859569,0.19358432,0.19019395,0.18848787,0.18853374,0.18964511,0.19032572,0.1882021,0.18156631,0.17238347,0.16600354,0.16831984,0.17894156,0.19038224,0.1925296,0.18091612,0.1595264,0.13709019,0.12154981,0.11678002,0.12325572,0.13872309,0.15852438,0.17712836,0.1897193,0.19481812,0.19281948,0.1856817,0.17478919,0.16154768,0.14685397,0.1317033,0.117188096,0.104053885,0.09267252,0.0833684,0.07827197,0.08073383,0.09272826,0.11155359,0.13056198,0.14444984,0.15251254,0.15849964,0.1648582,0.17163129,0.1765207,0.17891365,0.178972,0.17803021,0.17782865,0.18330796,0.1998666,0.22880524,0.26198056,0.28673032,0.2954985,0.29154873,0.28483275,0.28204027,0.28353336,0.28501344,0.28365573,0.2794614,0.2750168,0.27265683,0.2709699,0.26453325,0.24614437,0.21463473,0.17591976,0.14057806,0.11508373,0.10029443,0.09272233,0.08928331,0.0884114,0.089854546,0.093316145,0.09722582,0.099191874,0.09723503,0.091995545,0.08656467,0.08499018,0.09093475,0.10694152,0.13587315,0.17630851,0.22182398,0.25759876,0.27199385,0.26150283,0.23743741,0.21553087,0.2074214,0.21448755,0.23104171,0.25231078,0.27420315,0.29339206,0.3043308,0.3058105,0.30173588,0.29883897,0.29965922,0.30236724,0.3046092,0.30780128,0.31380245,0.32170716,0.32502773,0.31898317,0.3036574,0.2859961,0.27205786,0.26387075,0.2586423,0.25327024,0.2466472,0.24018992,0.23641424,0.23717652,0.2408762,0.2424466,0.23544389,0.21903063,0.19868475,0.18387751,0.17891277,0.18174511,0.18578213,0.18682086,0.18460883,0.18188518,0.18131988,0.18388432,0.18895596,0.19543867,0.20315915,0.21395159,0.22947073,0.25067934,0.27546063,0.3022657,0.3265649,0.34349513,0.3458272,0.33409023,0.3146739,0.29857603,0.2882539,0.27896467,0.26175255,0.23453642,0.20180482,0.17292148,0.15504634,0.15139075,0.15866536,0.16944803,0.17493542,0.17171913,0.16488332,0.16653965,0.18777497,0.22823055,0.27529413,0.31011367,0.32410777,0.32063463,0.3122718,0.30606136,0.30307317,0.29932103,0.29310355,0.28401044,0.2731992,0.26172832,0.2520834,0.24520181,0.23999064,0.23223592,0.22028346,0.20574124,0.19333915,0.18510659,0.17979775,0.17364593,0.16466616,0.15394415,0.14641966,0.1481204,0.16438675,0.19481681,0.23257828,0.26462543,0.2809337,0.27993643,0.27018097,0.261837,0.26050436,0.26566887,0.27432284,0.28345168,0.2912068,0.2964165,0.29869986,0.295777,0.2851317,0.2655019,0.24240266,0.2246948,0.22033459,0.22873938,0.2426502,0.2523342,0.2531099,0.24666543,0.23912291,0.2347336,0.23298769,0.22831458,0.21733133,0.20262206,0.19504784,0.20276825,0.22670197,0.25708255,0.2857795,0.30757758,0.32185602,0.32488576,0.31573334,0.2982945,0.28287867,0.27601072,0.27719608,0.28089964,0.28582308,0.29416502,0.30642566,0.31512913,0.31135777,0.2931373,0.2686071,0.24824409,0.23711842,0.23451896,0.23849241,0.24983497,0.2681515,0.2892833,0.30347204,0.30458605,0.29276928,0.27629623,0.26194978,0.25310764,0.24809605,0.24492468,0.24167956,0.23784985,0.23355864,0.23061128,0.22930062,0.22775413,0.22039485,0.20514892,0.1856982,0.1717378,0.16965245,0.17817652,0.1891222,0.19449979,0.19111972,0.1807462,0.16715056,0.15429313,0.14592,0.1458431,0.15624154,0.17625166,0.20176733,0.2284813,0.25432423,0.27861884,0.2982696,0.3070694,0.30074468,0.2830414,0.2638118,0.25151026,0.24554634,0.23948215,0.22707893,0.20974779,0.19364177,0.18530647,0.18520977,0.18937473,0.19305448,0.19549914,0.19976145,0.2089545,0.22372226,0.24139135,0.25916362,0.27304372,0.2799171,0.27850816,0.2729825,0.26842964,0.26429263,0.2536054,0.2309423,0.20216465,0.18260682,0.18587923,0.21199226,0.24574868,0.2684839,0.2713559,0.2610262,0.25226617,0.25556552,0.27039146,0.28720918,0.29771805,0.29945353,0.29477504,0.28467107,0.27044502,0.25694898,0.252934,0.26417768,0.2871122,0.3111479,0.32429218,0.32218012,0.3075569,0.28927,0.27501675,0.2701027,0.27506468,0.28706792,0.30053604,0.31045136,0.31446126,0.31353727,0.30913985,0.3023752,0.29311454,0.28239882,0.27095428,0.26001224,0.25000313,0.24263273,0.2393565,0.24080522,0.24531142,0.25054362,0.25451308,0.25611952,0.25484136,0.25122383,0.24721675,0.24530815,0.24680038,0.25178114,0.2598363,0.27063307,0.28165695,0.2885642,0.28731802,0.2791245,0.26892066,0.26241198,0.25985423,0.25840452,0.253561,0.24584381,0.23772001,0.23321272,0.23177676,0.23135747,0.22884105,0.22394508,0.21862106,0.21647142,0.22144656,0.23512053,0.25670183,0.2806828,0.29964498,0.3056787,0.29726875,0.27876982,0.2583307,0.24083723,0.22865458,0.22346771,0.22913873,0.2468115,0.27191517,0.2935069,0.3029957,0.29831126,0.28511503,0.2695184,0.25572333,0.24550998,0.24071926,0.24296427,0.25067994,0.25909665,0.2610566,0.2535168,0.2389002,0.22528546,0.22084005,0.2287742,0.2452629,0.2599541,0.26426032,0.25603092,0.24305624,0.23596402,0.24092555,0.25493476,0.2683591,0.27351892,0.26943377,0.26175234,0.25591794,0.25308168,0.25157645,0.25040403,0.25159177,0.25570604,0.2602907,0.26019058,0.25314733,0.24155676,0.23062043,0.22602586,0.23058929,0.24532676,0.26707318,0.29206428,0.3139945,0.3270624,0.32508174,0.307672,0.28049543,0.2543809,0.23668991,0.22961468,0.23083931,0.24072365,0.2594398,0.28448072,0.30522215,0.3116949,0.30024716,0.27855852,0.25768596,0.2467695,0.24899773,0.2637495,0.28694573,0.31039175,0.3230679,0.3160385,0.2904034,0.2564897,0.22855385,0.21450199,0.21593387,0.22938405,0.25118518,0.2752025,0.2951919,0.30634335,0.31059098,0.3116293,0.3114217,0.3060222,0.29391226,0.27854833,0.2682612,0.26671478,0.27130255,0.27693617,0.28308725,0.29390553,0.31088302,0.3292615,0.3399084,0.3388605,0.32823375,0.3147212,0.30247408,0.29396066,0.28966662,0.29121256,0.29866242,0.31009662,0.31943333,0.32121065,0.3131031,0.29867187,0.28299662,0.2703937,0.26255593,0.25994682,0.26172772,0.26576486,0.2693449,0.2712686,0.27225032,0.27357528,0.27453777,0.27333748,0.26874292,0.26210383,0.25583884,0.2518387,0.2505356,0.25194636,0.25654292,0.26440868,0.2748455,0.286458,0.29850265,0.30884066,0.3136162,0.30804548,0.2923709,0.27145785,0.2530919,0.24121056,0.23701762,0.23843955,0.2439119,0.25152817,0.26058754,0.27011064,0.2782427,0.28289482,0.2833079,0.2822163,0.28312257,0.28812784,0.29561093,0.30251718,0.30637035,0.30661625,0.3042498,0.3008956,0.29894188,0.30065823,0.30752766,0.31692088,0.3235657,0.3217977,0.3131611,0.30356485,0.299518,0.29938853,0.29841545,0.2936312,0.28952515,0.29136416,0.30013463,0.3098462,0.3135148,0.3063967,0.28894362,0.26588783,0.24791144,0.2476033,0.27218676,0.314966,0.35585046,0.37422466,0.36210123,0.33198914,0.30495358,0.29760644,0.30782387,0.32226714,0.3269496,0.32145515,0.31371602,0.31195247,0.31509247,0.3186467,0.31805566,0.31320974,0.30272365,0.28834403,0.2737602,0.2671772,0.27114066,0.28101698,0.28741205,0.28702602,0.28696868,0.29681242,0.31899866,0.3423458,0.3532798,0.34445593,0.3225424,0.2999899,0.28797176,0.28971443,0.3017796,0.3180671,0.33114576,0.3349466,0.32482865,0.30313453,0.27708462,0.25653335,0.2459026,0.24471287,0.24863265,0.25426733,0.25919,0.2627058,0.26554406,0.2689972,0.27359438,0.27709642,0.2765607,0.26949537,0.2564738,0.23969097,0.22284663,0.2091,0.2015741,0.20253448,0.21381521,0.23468316,0.2615889,0.2887375,0.31037936,0.3226656,0.32387826,0.3164832,0.30549064,0.2968539,0.2924504,0.2907121,0.28871036,0.2853569,0.28107727,0.27671322,0.27310076,0.2712691,0.27107862,0.27058998,0.26663122,0.2585493,0.24875109,0.24142079,0.238563,0.23934771,0.24073218,0.23995256,0.23634322,0.23306368,0.23583327,0.24944918,0.27181587,0.29363164,0.30270374,0.29458478,0.2752761,0.25753194,0.24993157,0.25373742,0.26554307,0.28270733,0.30336526,0.32299396,0.3346745,0.3326654,0.31737432,0.2936664,0.26772776,0.24486057,0.23120566,0.23345684,0.2544892,0.28811613,0.3191416,0.33124825,0.31753904,0.28557375,0.25169104,0.230043,0.22564691,0.23655374,0.25909463,0.2891495,0.31941056,0.3401833,0.34493032,0.33620384,0.32150733,0.30662742,0.290038,0.26958925,0.24703534,0.23012103,0.2247018,0.23119009,0.24486339,0.2619485,0.2810266,0.3004146,0.31431878,0.31590545,0.30323616,0.28298482,0.26565334,0.25810584,0.26014903,0.2673469,0.27709177,0.28756294,0.29618737,0.29659346,0.28602812,0.2673488,0.2492495,0.23791826,0.23441161,0.23565997,0.23809011,0.24058954,0.24371505,0.2494436,0.25794387,0.26656413,0.2704326,0.26598236,0.25476667,0.24192643,0.23313291,0.2301572,0.23210059,0.23711364,0.24440049,0.25333667,0.26248345,0.27062273,0.27829972,0.2875038,0.29778457,0.304065,0.30044553,0.28664637,0.27023616,0.26134455,0.26482895,0.27706912,0.28808498,0.28909335,0.2779573,0.26080436,0.24721402,0.24328415,0.24940193,0.26123878,0.27598146,0.29018188,0.30002657,0.29814985,0.2831768,0.26131085,0.24605636,0.24645121,0.2621422,0.28435585,0.3022983,0.31035364,0.30871007,0.3027295,0.297809,0.29723695,0.30081263,0.30542982,0.30824056,0.3078014,0.3055595,0.30316165,0.3021116,0.30342615,0.3081752,0.3175033,0.33024153,0.3440595,0.35503113,0.36197463,0.36420393,0.3624321,0.35575652,0.3452883,0.33394346,0.32718417,0.32863298,0.33763298,0.34791294,0.35184526,0.34502235,0.32953405,0.31046787,0.29328275,0.28050074,0.2734067,0.27045324,0.26904723,0.26578772,0.2601012,0.25338736,0.24848999,0.2462834,0.24670728,0.24789089,0.24899882,0.2486171,0.24668384,0.24231409,0.23575866,0.22758798,0.2200405,0.21540803,0.2148708,0.21774262,0.22296464,0.230594,0.24292773,0.2607465,0.28205243,0.29959294,0.30769163,0.30456564,0.29529825,0.28588876,0.28048882,0.27968118,0.28222278,0.2864344,0.2907176,0.29431915,0.29719654,0.29902473,0.2988429,0.29528868,0.28911445,0.2826585,0.27919635,0.27978262,0.28342792,0.28839642,0.29459885,0.30444,0.3176717,0.32996598,0.33194888,0.32025668,0.29935086,0.2817581,0.27677882,0.28567562,0.3021467,0.31716108,0.3267469,0.32922575,0.3258842,0.31501496,0.29894137,0.2819779,0.2718829,0.27091536,0.27728617,0.2852409,0.291007,0.2916601,0.28568316,0.27234128,0.25405902,0.23646785,0.22563685,0.22468765,0.23271556,0.24748392,0.2671961,0.29069614,0.31425402,0.33210167,0.3381835,0.33261845,0.32088253,0.31131712,0.30753574,0.3082894,0.30954334,0.3092894,0.30829945,0.30867335,0.31185237,0.31739798,0.32305595,0.32540593,0.32180065,0.312669,0.30178294,0.2940099,0.29127643,0.29196545,0.29328796,0.29516596,0.29972526,0.3069816,0.31225514,0.30863824,0.29440475,0.275478,0.2624246,0.26281705,0.27641466,0.29628694,0.313392,0.32202172,0.3202721,0.30803323,0.28653133,0.25957134,0.23526053,0.22178413,0.22261931,0.23526,0.2541474,0.27644348,0.29877678,0.31699303,0.3230331,0.3145182,0.29500744,0.27452958,0.25990656,0.25462806,0.25917003,0.2741455,0.29782125,0.3235817,0.34191453,0.34532657,0.3344777,0.3159434,0.2982802,0.28560278,0.2782709,0.27422485,0.2721844,0.2720392,0.2743082,0.2791867,0.2849413,0.2893087,0.2902496,0.28847238,0.28500715,0.28068337,0.27484047,0.26854795,0.2652693,0.26988715,0.2848505,0.30642793,0.32547078,0.3315172,0.32110733,0.29989454,0.2799947,0.27086368,0.27497074,0.28737172,0.3017458,0.31465486,0.32606447,0.3355175,0.33905712,0.33335492,0.31946838,0.30480343,0.2960265,0.29441345,0.29434606,0.28840062,0.27366665,0.25393435,0.23763345,0.2312537,0.23605014,0.24808115,0.26173472,0.2728282,0.28047225,0.28718135,0.29726255,0.31178567,0.32687676,0.3341931,0.3295615,0.31495526,0.29838696,0.28585398,0.27984402,0.2791442,0.28185093,0.2857642,0.28920862,0.291669,0.29393432,0.29580453,0.29529366,0.2890627,0.27691868,0.26246575,0.25196996,0.24877088,0.25174084,0.25768393,0.26560354,0.27809402,0.2943841,0.3087267,0.31090492,0.2991855,0.28053907,0.26864192,0.27021512,0.2829248,0.29788446,0.3085616,0.31494084,0.3199898,0.32523263,0.329039,0.3299345,0.32831192,0.32429302,0.31786457,0.309714,0.3035823,0.30368105,0.3108338,0.3213821,0.32818794,0.32648528,0.31542248,0.29980943,0.286475,0.2811964,0.28612936,0.29844022,0.31416607,0.32746387,0.33441684,0.33023164,0.31577405,0.2948011,0.27490416,0.25921196,0.24871475,0.24300487,0.24571675,0.25900576,0.28074223,0.3009883,0.3110781,0.30703118,0.29266906,0.27245763,0.25098276,0.23279421,0.2246716,0.23295991,0.25672174,0.28654608,0.307196,0.310961,0.30047765,0.2876742,0.28079942,0.2817695,0.28704223,0.29489315,0.30612305,0.3217695,0.3397769,0.35606423,0.3663654,0.3686312,0.36151752,0.34676614,0.3282374,0.31250855,0.30352113,0.30052114,0.29851747,0.29180622,0.27895415,0.26256487,0.24894136,0.24239849,0.24438955,0.25327694,0.26775587,0.28706673,0.30752563,0.32296744,0.32741493,0.32281196,0.31478396,0.3082641,0.30108824,0.29043856,0.27611068,0.2626432,0.25370875,0.25168324,0.25694355,0.27051553,0.2900441,0.31011343,0.32177854,0.32024753,0.3068807,0.28998914,0.2794198,0.28131372,0.29567742,0.3151727,0.33190954,0.3393184,0.33710635,0.32652012,0.31185833,0.2964767,0.28396037,0.27479932,0.26882443,0.2658484,0.2675148,0.27459463,0.28647783,0.3004032,0.31419495,0.3244225,0.32801473,0.32177818,0.30794004,0.2921649,0.28150937,0.27850768,0.2820612,0.29008007,0.30084142,0.31266168,0.32115424,0.32226977,0.31352922,0.29774952,0.28065708,0.26940414,0.268283,0.2774104,0.29285553,0.30987757,0.32409814,0.33213815,0.33013165,0.3173784,0.29679418,0.27567574,0.25979605,0.251546,0.24862337,0.24778515,0.2471168,0.2478594,0.2520019,0.2600901,0.26922834,0.27575243,0.27741727,0.2756419,0.27331784,0.2725136,0.2723588,0.27050996,0.2663709,0.26311335,0.2664489,0.27890003,0.2968907,0.3115822,0.31685308,0.31340006,0.308324,0.3081474,0.3136413,0.32061037,0.3237561,0.32214138,0.31712136,0.31057492,0.30159298,0.2899647,0.2771978,0.2670734,0.26181912,0.26123896,0.26287785,0.2647752,0.26648754,0.2687503,0.2721254,0.27561566,0.27735832,0.2753497,0.26954198,0.2624493,0.2587488,0.26279765,0.27531803,0.29185292,0.3045828,0.307024,0.29842338,0.28332976,0.26844582,0.25870422,0.25695845,0.26464042,0.28182793,0.3059074,0.33081138,0.34872618,0.35335562,0.3432362,0.32252416,0.30012086,0.285112,0.28268886,0.2901334,0.29959974,0.3032758,0.29936415,0.29261884,0.2897472,0.29486996,0.30632052,0.3202523,0.3317227,0.33826724,0.33774638,0.33117986,0.32035694,0.30840477,0.29615787,0.28431502,0.27472055,0.27178714,0.2789184,0.29414138,0.30990466,0.31791863,0.31540138,0.30616286,0.29621252,0.28983566,0.28671446,0.28503165,0.28240085,0.27958965,0.2779115,0.27823249,0.27911064,0.2798119,0.2821189,0.28945354,0.30253533,0.31737855,0.32686448,0.3268628,0.31878158,0.30858818,0.30074227,0.29552996,0.29017064,0.28285477,0.27501258,0.26963207,0.26874837,0.2711748,0.2739987,0.27456415,0.27243584,0.26874408,0.26462325,0.2606467,0.25703415,0.25491294,0.25516197,0.25811014,0.26246393,0.2674823,0.27351952,0.28251603,0.29489982,0.30731395,0.31338334,0.30838975,0.29490772,0.2804537,0.27186966,0.2684336,0.26517186,0.25785667,0.2478159,0.2391653,0.23477395,0.233289,0.22970533,0.21921237,0.20023514,0.17668164,0.15414457,0.13712175,0.12600513,0.12040622,0.12013943,0.12593192,0.13651673,0.14952476,0.1640288,0.18350138,0.21380214,0.25695986,0.3061892,0.34830263,0.37229285,0.37725088,0.36908114,0.35366976,0.3306413,0.3006239,0.2709687,0.25585604,0.26324677,0.28567043,0.30352262,0.3000358,0.27298608,0.23371564,0.19695704,0.17234588,0.16189873,0.16238478,0.16749011,0.17065214,0.16780002,0.15958546,0.15008844,0.14275385,0.13705373,0.12979521,0.12105214,0.11933408,0.13857454,0.18658747,0.25522223,0.32320544,0.37052074,0.3889716,0.38227594,0.3583425,0.32610396,0.29356387,0.2664781,0.24463515,0.22431564,0.20310545,0.18378995,0.17025764,0.16318375,0.15870629,0.15348281,0.147302,0.14275312,0.14200334,0.14569491,0.1547082,0.17152564,0.19926064,0.2359103,0.27163804,0.29316315,0.29440516,0.28150764,0.26743373,0.2611687,0.2627038,0.26564857,0.2641354,0.25681856,0.24653326,0.23646323,0.22610915,0.21239899,0.19282956,0.17082308,0.1526118,0.14374629,0.14292793,0.14591469,0.1482429,0.14934552,0.14984033,0.15040384,0.15080999,0.15047593,0.1488974,0.14554952,0.1410019,0.13699074,0.13575229,0.13819677,0.14284103,0.14711252,0.14909314,0.14876647,0.14730214,0.14589863,0.14567757,0.14723068,0.1513229,0.15715499,0.16312711,0.16639782,0.16605335,0.16305248,0.16025396,0.16006704,0.16348545,0.17051816,0.17963715,0.1891811,0.19744073,0.20638497,0.22230077,0.25263694,0.298746,0.35042998,0.39240542,0.41338503,0.41315055,0.39663866,0.36853835,0.33323583,0.2994604,0.28014576,0.28286922,0.30239376,0.32177344,0.32431683,0.30446866,0.26962176,0.23360895,0.20752978,0.19572282,0.19528961,0.19938987,0.2007618,0.1957282,0.18554233,0.17478895,0.16754793,0.1651359,0.16617884,0.17048597,0.18143177,0.20674163,0.24999051,0.30560377,0.35739222,0.3921782,0.405646,0.40274242,0.38682255,0.35957995,0.32416132,0.28857067,0.25958148,0.23897362,0.22444056,0.21629043,0.21609841,0.22413619,0.23408474,0.23884483,0.23428822,0.22368409,0.21307288,0.20731927,0.20832507,0.21699505,0.2357107,0.2635219,0.29306912,0.3107569,0.30851337,0.28975034,0.26797703,0.25465843,0.2528843,0.25743154,0.2615994,0.26165268,0.25816762,0.25379154,0.25066128,0.2495216,0.24982266,0.25213692,0.25743827,0.26808396,0.28274575,0.29709935,0.3022442,0.29407033,0.27597013,0.25966683,0.25376007,0.25810635,0.26597998,0.27141115,0.2729155,0.27015662,0.26634,0.26814908,0.2837933,0.31155112,0.33827254,0.3489325,0.34061822,0.32377324,0.30932447,0.29989603,0.29075435,0.28050184,0.27213085,0.26965606,0.27348956,0.2806405,0.28752652,0.28965047,0.286731,0.28191778,0.28190067,0.28892335,0.30005944,0.30953062,0.3147268,0.3174565,0.3195612,0.31943122,0.31258416,0.29779783,0.27845526,0.26036754,0.24669099,0.23862006,0.2360875,0.23885079,0.24532579,0.25327706,0.2608867,0.26594198,0.2657422,0.2574539,0.24136464,0.22043401,0.19879067,0.17965432,0.16618295,0.16125737,0.1650293,0.17303538,0.17927201,0.18223931,0.1874284,0.20265335,0.2295341,0.2615616,0.28816044,0.3038573,0.30803272,0.30280924,0.28894147,0.26918745,0.24924462,0.23529579,0.23019971,0.23253596,0.23962717,0.24791642,0.25290105,0.24969782,0.2363808,0.21708812,0.19897239,0.18782312,0.18285209,0.18059933,0.17927223,0.18325382,0.19820984,0.22512545,0.25721648,0.2855121,0.3045424,0.31366333,0.31261632,0.30145073,0.2820424,0.26034525,0.24196619,0.22921926,0.22122608,0.21737462,0.21918458,0.22727363,0.23958035,0.250683,0.256012,0.25442082,0.24894458,0.24541003,0.24723776,0.2548891,0.26429597,0.27305314,0.278128,0.27707005,0.26633164,0.2480072,0.23059559,0.22533472,0.23699003,0.25998724,0.28190497,0.29227316,0.2897325,0.2806526,0.27266368,0.26822594,0.26729012,0.27037105,0.28097042,0.29877934,0.31888768,0.33077824,0.3271446,0.30488336,0.26905045,0.22935568,0.19884515,0.18775314,0.1984879,0.22477172,0.2530745,0.2702116,0.26741913,0.24767543,0.22136705,0.20114976,0.19153321,0.19040084,0.19360578,0.20202486,0.21907634,0.24600494,0.27726778,0.30565223,0.32488558,0.3338578,0.33177122,0.321516,0.30721644,0.29575598,0.2903247,0.29006064,0.29234326,0.29641613,0.30445564,0.314608,0.32036093,0.31226662,0.28913197,0.25826147,0.23081148,0.2112781,0.1989817,0.19346118,0.200926,0.22609214,0.2654473,0.3024558,0.32228994,0.32000253,0.30534425,0.2898881,0.28076863,0.27866873,0.28313652,0.29500917,0.31206632,0.32853684,0.3352263,0.32870504,0.31093076,0.28897467,0.2690995,0.25697362,0.25577557,0.26352987,0.27246526,0.27416483,0.267552,0.26122674,0.26483265,0.28150365,0.30376843,0.3234621,0.33391583,0.33410287,0.32369348,0.30820483,0.2963201,0.29715928,0.31201997,0.33422932,0.3543419,0.36607185,0.36884582,0.3646597,0.35583687,0.34416118,0.33232346,0.32371935,0.31980982,0.31946597,0.3203051,0.32184646,0.32544824,0.33084676,0.33534035,0.33443546,0.3280199,0.31833747,0.30972672,0.30459496,0.30466917,0.30967584,0.3152109,0.3168908,0.31197158,0.3040799,0.2961501,0.29070368,0.28692904,0.28448644,0.28168693,0.27673495,0.26825324,0.25713328,0.24571167,0.23590004,0.22810154,0.221947,0.21730335,0.21436834,0.21266238,0.21106805,0.20853941,0.20548166,0.20321898,0.20289929,0.20447427,0.20760785,0.21263714,0.22045054,0.23093641,0.2423592,0.25242695,0.2603867,0.2675161,0.2760419,0.28716657,0.3004144,0.31376386,0.3249093,0.3323076,0.33643866,0.3391246,0.34327087,0.35077873,0.36331403,0.37807754,0.39045873,0.39288315,0.38425586,0.3671958,0.35004997,0.33967733,0.34078088,0.35238084,0.3670957,0.37716082,0.3776978,0.3708106,0.3594953,0.34726226,0.3362861,0.32862785,0.32479715,0.3240688,0.32669437,0.33447006,0.34840176,0.36512098,0.3768141,0.37584937,0.35899606,0.32908568,0.29392454,0.26478404,0.2543994,0.27015892,0.30982974,0.3582165,0.39733365,0.4133122,0.40699127,0.38699523,0.36550984,0.34706637,0.3311877,0.3136014,0.2923716,0.26763815,0.24207665,0.21981145,0.20675294,0.20833565,0.22683966,0.25740972,0.2892457,0.30944324,0.31175664,0.30060053,0.28770053,0.28196886,0.28165653,0.27996704,0.2731043,0.2670201,0.26812053,0.2771156,0.28564277,0.2860463,0.2768644,0.2652484,0.26055765,0.27084184,0.29654986,0.33125225,0.36122727,0.376554,0.37523672,0.3660656,0.35833225,0.35693276,0.3612535,0.36998168,0.38330135,0.39847898,0.4091692,0.40651488,0.38866618,0.3604869,0.33089307,0.3047889,0.284546,0.27323362,0.2768198,0.29809558,0.33047488,0.35843948,0.36887214,0.36093307,0.34583846,0.335202,0.33189783,0.33051696,0.32493114,0.31367365,0.29967302,0.28659287,0.27624747,0.2684645,0.2629883,0.26048973,0.26210672,0.2678919,0.2765317,0.28596494,0.29418167,0.30005333,0.30463848,0.3123457,0.32658872,0.3453839,0.35907075,0.36024335,0.34929505,0.33527732,0.32500565,0.3192916,0.31556484,0.31378052,0.3194109,0.33494684,0.3579283,0.37622738,0.38208923,0.37334195,0.35804594,0.34167793,0.3271979,0.31480488,0.30891752,0.31540287,0.33550712,0.36143827,0.38081837,0.38567272,0.37771264,0.36465696,0.35450855,0.34987104,0.35064638,0.35546187,0.36499146,0.3778762,0.38943362,0.39317212,0.38650635,0.373224,0.35911787,0.3475802,0.33899617,0.3342295,0.33605936,0.3451723,0.35855594,0.37000787,0.37659276,0.37767375,0.37410903,0.365659,0.3549337,0.3471034,0.3461238,0.34955737,0.35087538,0.34643114,0.3407981,0.3410679,0.34942922,0.35748947,0.35578835,0.3415273,0.32436252,0.31740877,0.3280887,0.3528973,0.38084018,0.4028577,0.41355327,0.4124283,0.39879826,0.37646854,0.3532449,0.34046766,0.34522572,0.36508295,0.39026275,0.4086783,0.41580805,0.41244838,0.40356526,0.39109147,0.37739578,0.36544463,0.36007035,0.36314973,0.37210694,0.38136616,0.38797227,0.39224932,0.3964814,0.3996999,0.40114245,0.399502,0.39584914,0.38917986,0.37973547,0.36881396,0.3593904,0.3535382,0.35168195,0.3545903,0.36420584,0.38170484,0.4059098,0.42949495,0.44569135,0.44855955,0.4410759,0.42662928,0.40971172,0.39054647,0.37148437,0.35743883,0.35191,0.3534378,0.35348633,0.3474861,0.3370308,0.33084548,0.3351157,0.34907436,0.36655438,0.37958345,0.3866962,0.3890206,0.38979283,0.38623437,0.37597606,0.3582326,0.3380901,0.3201933,0.30836913,0.30410066,0.30975068,0.32368788,0.340978,0.35191175,0.3525146,0.34344175,0.33176383,0.32061496,0.31118467,0.3023398,0.2968513,0.3003151,0.31605577,0.34077457,0.3627065,0.3725376,0.36778495,0.35633373,0.3459313,0.3413359,0.34245756,0.34870616,0.35867655,0.36898625,0.37572837,0.37806782,0.37867498,0.37941685,0.37630558,0.36482856,0.3453176,0.32677522,0.31755745,0.3194703,0.32692757,0.33441153,0.34223947,0.35233834,0.36425865,0.371089,0.36899516,0.3595356,0.35121226,0.34950468,0.35429248,0.3605709,0.3648144,0.36782143,0.37129557,0.3739849,0.37099215,0.36006656,0.3443128,0.33030808,0.32165506,0.3187811,0.32122216,0.33104432,0.3482045,0.36826137,0.38100433,0.3787816,0.3601574,0.33348063,0.31093898,0.3031588,0.31248367,0.33328414,0.3569869,0.37567282,0.38410947,0.3781649,0.3599802,0.33677816,0.3193932,0.31280723,0.31661347,0.32656756,0.34008548,0.35545692,0.3711659,0.3856785,0.39890358,0.41053417,0.41782597,0.41356716,0.39234927,0.35515642,0.3131222,0.2810376,0.26978925,0.28110203,0.30781236,0.34111157,0.37175405,0.39335415,0.39864898,0.3863089,0.36141825,0.33744594,0.32642102,0.33249685,0.35002562,0.36960122,0.38540378,0.3948342,0.39708674,0.39147088,0.38141227,0.37341025,0.37330243,0.3806419,0.3896388,0.3929794,0.38641974,0.3708265,0.3507855,0.3329791,0.32087556,0.31532946,0.31386554,0.3170873,0.32570282,0.3399944,0.3534881,0.35871348,0.35102722,0.33504257,0.32025513,0.3153913,0.32290253,0.33905986,0.3584511,0.3743795,0.38129437,0.37389436,0.35452807,0.33144867,0.3169137,0.31704903,0.32981595,0.34719396,0.3611937,0.37014258,0.3752704,0.3786247,0.3763342,0.36500332,0.34491888,0.32532907,0.31761444,0.32681438,0.34584776,0.35956788,0.35785294,0.34237388,0.3259423,0.3204303,0.33022335,0.35008013,0.37182745,0.38788375,0.39393088,0.38709512,0.3690836,0.34613922,0.32891104,0.32525268,0.33600065,0.3545297,0.37168267,0.38327035,0.38961852,0.39341334,0.39279416,0.38583744,0.37339416,0.36193964,0.3583316,0.36407304,0.37635818,0.3882828,0.39623904,0.39672115,0.39062807,0.37955678,0.36824414,0.35973725,0.35350028,0.34749985,0.3413011,0.33834186,0.34044054,0.34691668,0.3564529,0.3704516,0.39127767,0.41571963,0.43597117,0.44417658,0.44079962,0.43109187,0.41997886,0.40721154,0.3918843,0.3766433,0.36834463,0.3729602,0.38945773,0.40904018,0.42015874,0.4181321,0.40797296,0.4015647,0.40746295,0.42602384,0.44880688,0.4672426,0.47678408,0.4784974,0.4721459,0.4587654,0.4407709,0.4255954,0.41685978,0.4136075,0.41188285,0.41247618,0.420015,0.43524683,0.45089746,0.45360985,0.4360168,0.40171814,0.36598596,0.3455743,0.34939834,0.37407544,0.40767065,0.43979272,0.4638877,0.47722855,0.47607717,0.46080735,0.43603298,0.41104147,0.39194366,0.3821104,0.38190427,0.39218402,0.41113436,0.43456152,0.4561092,0.47203276,0.4795989,0.47715947,0.46214986,0.43799162,0.41268596,0.39613402,0.38987234,0.3887863,0.3860334,0.3810818,0.37797284,0.3799436,0.38487038,0.38780403,0.38657567,0.38406292,0.3852377,0.39257148,0.40479168,0.4189516,0.4329667,0.4450278,0.45147452,0.44596592,0.4253863,0.3940296,0.36401424,0.34567526,0.34242937,0.3502958,0.36505386,0.38528928,0.40951264,0.4322354,0.4436626,0.43833804,0.4198737,0.40007004,0.38963762,0.39057222,0.39839855,0.4069959,0.41622427,0.42512724,0.43024722,0.42343673,0.40473428,0.38410643,0.37769794,0.3929633,0.42283818,0.45012274,0.45897034,0.44696864,0.42342687,0.40229297,0.3892844,0.38249162,0.37790063,0.37673464,0.3831295,0.39679778,0.41028047,0.41361007,0.40385285,0.3874954,0.37574133,0.37515974,0.38250422,0.38790688,0.38323048,0.37030938,0.35797048,0.3542899,0.35855314,0.36549696,0.37153116,0.38042393,0.39618576,0.41808984,0.4361433,0.44190833,0.43377113,0.42130467,0.41438544,0.41716814,0.4251007,0.43197167,0.43639216,0.4402717,0.44454452,0.44374081,0.4331249,0.41316035,0.3928492,0.38226065,0.38619933,0.40221128,0.42271414,0.44155204,0.4533055,0.45598075,0.44901717,0.43778476,0.42990074,0.43135488,0.44215608,0.4564042,0.467829,0.47093272,0.46616933,0.45672297,0.4488022,0.44604746,0.44805396,0.45075664,0.44867936,0.44127676,0.43052232,0.4196354,0.40636566,0.3877659,0.36424017,0.34308323,0.33366838,0.33923194,0.35599807,0.3759509,0.3947203,0.40989944,0.42012456,0.42393982,0.42159042,0.41516075,0.40547964,0.3948005,0.3859477,0.38295308,0.38525406,0.3891044,0.38935557,0.38439608,0.37658736,0.37085518,0.3703277,0.37354824,0.37494516,0.36956844,0.35612726,0.33789912,0.31925854,0.3040808,0.29400527,0.28925312,0.28820512,0.28774977,0.28427196,0.2758862,0.26444986,0.25476465,0.252062,0.25872743,0.27368173,0.2930868,0.3127551,0.3291967,0.3408363,0.34748748,0.35062194,0.35203776,0.35395584,0.35749355,0.36303505,0.36954585,0.37645122,0.38346946,0.39051768,0.3953254,0.39503634,0.3886828,0.38069105,0.37784004,0.38470408,0.3988068,0.41230163,0.4162241,0.40664232,0.38635543,0.3633791,0.34473464,0.33362493,0.3290771,0.3302317,0.33753505,0.35200047,0.372836,0.3963343,0.41720304,0.43014228,0.43291095,0.42824018,0.42292425,0.42452863,0.43440285,0.44827333,0.45731056,0.45778325,0.45021296,0.44095382,0.4345595,0.4341457,0.43861488,0.44557902,0.45161596,0.45395258,0.45142126,0.44645783,0.4448941,0.4531838,0.47165987,0.49435124,0.5110825,0.51634747,0.510467,0.49976578,0.49053577,0.48570004,0.48339722,0.47846735,0.4681082,0.45286992,0.43785962,0.42604053,0.4186205,0.41395184,0.4119164,0.41246918,0.41538575,0.41964033,0.42374468,0.4267166,0.42797735,0.42802465,0.42794588,0.42895874,0.43361878,0.4441811,0.46109292,0.47920454,0.49170387,0.49465147,0.49224088,0.49227193,0.4981474,0.50407225,0.49979028,0.48269632,0.46109724,0.4497384,0.45701048,0.47795877,0.49705812,0.49777123,0.4775577,0.44823682,0.42981958,0.43500552,0.46084103,0.4920118,0.5081387,0.50126064,0.47610512,0.45077765,0.44146332,0.4553543,0.4859961,0.5183654,0.5430019,0.5569777,0.5626206,0.5555176,0.53374654,0.50073093,0.4686981,0.44486776,0.43086633,0.4242176,0.42784163,0.4437934,0.4690435,0.49023572,0.49453652,0.4762465,0.44092253,0.39831507,0.35817608,0.32706702,0.30899036,0.3053123,0.31730345,0.34567082,0.38851285,0.43692514,0.47523496,0.48899564,0.47126472,0.42974842,0.37978506,0.34139696,0.32667473,0.3386378,0.3688054,0.40702486,0.4452492,0.47893372,0.5016039,0.5074527,0.49625576,0.47611985,0.45694867,0.44148746,0.42535833,0.40124843,0.36854002,0.3327677,0.30441615,0.2896565,0.28836194,0.29302505,0.29676297,0.2964761,0.2962394,0.30304515,0.32582924,0.3692555,0.42920145,0.48933387,0.5295842,0.5393661,0.5249823,0.5023468,0.48436752,0.47520933,0.47515598,0.48686957,0.51165295,0.54358965,0.56609297,0.56457263,0.5349433,0.48818508,0.4397852,0.40259376,0.3831623,0.3835442,0.4037331,0.4381183,0.47819352,0.51188993,0.53455997,0.54421353,0.54373807,0.531563,0.51017314,0.4846622,0.46509758,0.4568647,0.45770645,0.46071073,0.4618766,0.4650322,0.47535458,0.4930594,0.51209325,0.5243389,0.52564126,0.51437956,0.4958764,0.47770834,0.46982118,0.4765327,0.49612918,0.520582,0.537606,0.53826237,0.5203933,0.49301267,0.46814084,0.45498598,0.45580685,0.46703053,0.48453298,0.5007805,0.50918484,0.5026232,0.48383483,0.46062362,0.44306114,0.4329686,0.42824054,0.426756,0.43110073,0.4420795,0.45599863,0.4637815,0.4608048,0.44808137,0.43288338,0.41906106,0.40789393,0.3976461,0.3893516,0.3840425,0.38215446,0.38251182,0.38569117,0.3945633,0.41020164,0.43006393,0.44871923,0.4635301,0.4718002,0.4701289,0.4547827,0.42995062,0.40634084,0.39404997,0.39381692,0.40122858,0.41316244,0.4314846,0.45432997,0.47404537,0.4783518,0.46336317,0.43505716,0.4080808,0.39516652,0.40096638,0.41909787,0.4349214,0.43680784,0.42326364,0.40543714,0.39665774,0.4038016,0.42267194,0.44257197,0.45393905,0.45469263,0.45054492,0.4500917,0.45775345,0.4711499,0.4839913,0.49232778,0.49649465,0.49744734,0.4927189,0.4793631,0.45918748,0.44027463,0.43073258,0.4324958,0.44174913,0.45211422,0.4621792,0.47098842,0.4798118,0.4843936,0.48443314,0.48021713,0.4778563,0.48107612,0.49062777,0.5026648,0.51020306,0.50994915,0.5018704,0.49252212,0.48763844,0.49082664,0.49902093,0.50533414,0.5045646,0.49747226,0.49083364,0.49076533,0.49878588,0.5104638,0.5185633,0.5173991,0.50582576,0.4887867,0.4741684,0.46860003,0.47202873,0.4774286,0.476727,0.46832493,0.4595635,0.45910868,0.47052705,0.4882265,0.50540936,0.51769197,0.528274,0.53839993,0.54516727,0.53976613,0.51869726,0.48685253,0.45460427,0.43001637,0.41626868,0.41562214,0.43171835,0.4646479,0.5059281,0.5370605,0.5435136,0.52212286,0.48484883,0.44677258,0.41944027,0.40830228,0.41518298,0.44098425,0.47976235,0.5210273,0.54969716,0.5601694,0.5521261,0.5312268,0.49907354,0.4625233,0.43242383,0.42265454,0.43606427,0.46311262,0.48779914,0.50245094,0.5090332,0.51334697,0.5128668,0.5032121,0.4841763,0.46620905,0.45777467,0.45910016,0.46399966,0.46913907,0.47941017,0.4954771,0.5110321,0.5098695,0.48765948,0.45288268,0.42725837,0.42425886,0.44461033,0.47647572,0.50743735,0.5315771,0.5469005,0.5519306,0.5428293,0.52123517,0.49423912,0.4713514,0.4558084,0.44672978,0.44369575,0.45077363,0.4699538,0.4961029,0.5160779,0.5192716,0.50407034,0.47918782,0.45569387,0.44173893,0.43958297,0.4463199,0.45548543,0.4616544,0.46492624,0.47097573,0.48454508,0.5021441,0.51458144,0.51582694,0.510221,0.5065922,0.5089431,0.5146149,0.51821154,0.51898456,0.51772183,0.5180559,0.5198155,0.5220886,0.52220154,0.5212113,0.5212131,0.521874,0.51997066,0.5136687,0.5069296,0.506279,0.5140989,0.5259426,0.53239,0.5278654,0.5126592,0.49326384,0.47567692,0.46281123,0.4559381,0.45644757,0.46996775,0.49589226,0.52644205,0.5416896,0.5308054,0.49747565,0.4640505,0.45099568,0.46488532,0.4958899,0.5266285,0.5476499,0.55561,0.55350107,0.5395131,0.5147773,0.48385176,0.45859554,0.45005238,0.45965275,0.47926465,0.49514046,0.50316244,0.50628614,0.5117993,0.51981974,0.5258283,0.5255277,0.5187955,0.5116112,0.5079451,0.50882083,0.50841576,0.5037628,0.49488887,0.4864324,0.48277512,0.4868162,0.49927187,0.51603454,0.53235024,0.5418508,0.5414619,0.5281558,0.5046296,0.47765014,0.45846125,0.454988,0.46839067,0.4917059,0.51511914,0.53070045,0.5360157,0.5324848,0.5258593,0.5199769,0.5160319,0.50861794,0.49567112,0.47979876,0.46867302,0.46561238,0.46895954,0.47572958,0.48597857,0.50168085,0.5217335,0.5401077,0.54811573,0.5404673,0.51922876,0.49353668,0.47449324,0.46916112,0.47851613,0.4997108,0.5291906,0.5628399,0.5922983,0.60674834,0.5964937,0.562774,0.5170236,0.47719786,0.45633328,0.45793417,0.47725645,0.50503725,0.5344095,0.5588148,0.5778869,0.59027934,0.59913355,0.6031103,0.6040018,0.60176784,0.59967804,0.5992918,0.59938645,0.5972106,0.58783114,0.57126236,0.5476242,0.5222576,0.4972619,0.4741019,0.44774726,0.41434214,0.37458444,0.33754632,0.3128691,0.30297694,0.3024406,0.3055593,0.3143786,0.3372186,0.3794292,0.4354453,0.48789534,0.5204284,0.52662975,0.5152475,0.49874595,0.48701325,0.4828192,0.487561,0.501747,0.52301484,0.5430711,0.5502879,0.538127,0.50992745,0.4782276,0.45591012,0.4492285,0.45636237,0.47178963,0.49107036,0.5085643,0.51626366,0.50542456,0.47540066,0.43532026,0.3994615,0.3774029,0.37173912,0.37993333,0.39956108,0.4259971,0.45296714,0.47207692,0.48240057,0.48721778,0.49094835,0.48898888,0.47716781,0.4569212,0.4391441,0.43155047,0.43387738,0.4397252,0.44583964,0.45465258,0.46905676,0.48746207,0.5039466,0.5135133,0.51501924,0.5098341,0.50181276,0.49442247,0.49159685,0.49384424,0.50033003,0.50741005,0.51017624,0.5050502,0.49233595,0.47768128,0.46533355,0.45770252,0.45508122,0.46039942,0.47617015,0.4999117,0.5235521,0.5363342,0.5338401,0.5175497,0.49541104,0.4742514,0.4599787,0.45579585,0.46412674,0.48479414,0.51080626,0.5295066,0.5261826,0.4977511,0.45314756,0.4113413,0.38597584,0.38256267,0.39741674,0.42472616,0.4582082,0.49120215,0.51786035,0.5348063,0.5434564,0.5458174,0.5424218,0.53221875,0.5173398,0.5024381,0.49122667,0.4817753,0.47093967,0.45874846,0.45291138,0.4597038,0.4788039,0.4981288,0.5057919,0.4957423,0.47409034,0.4504651,0.43423405,0.4298729,0.43859804,0.45934775,0.4857324,0.50887865,0.51855177,0.51426405,0.5008769,0.4866632,0.47290632,0.45986605,0.4493272,0.44811356,0.4605492,0.4826428,0.5030826,0.5108804,0.50503343,0.4935402,0.48712134,0.49064228,0.50080776,0.5114642,0.51749605,0.51915616,0.51576376,0.50564885,0.48627186,0.46198106,0.44162536,0.43230382,0.43260622,0.43666992,0.44138527,0.44985247,0.46506628,0.48536494,0.5037723,0.516284,0.52078843,0.51710063,0.50142485,0.47619674,0.44970158,0.43517455,0.4360442,0.44525984,0.45160618,0.45191315,0.45303035,0.46152523,0.47681317,0.491182,0.5002362,0.505091,0.5089893,0.513568,0.51842475,0.52495813,0.5332273,0.54297334,0.5495433,0.5474774,0.5317467,0.5047274,0.47473836,0.45059216,0.43322822,0.41849706,0.40464115,0.39866868,0.4078081,0.43069398,0.45376706,0.46571425,0.467155,0.47136614,0.48840126,0.5158972,0.54000264,0.548852,0.5410059,0.5233877,0.5029624,0.48187014,0.46390378,0.45445946,0.45852935,0.47003174,0.47817647,0.47393334,0.45969892,0.4455949,0.44245312,0.4558008,0.48202252,0.51305604,0.53845495,0.5522695,0.5542229,0.54957753,0.5441165,0.5382941,0.5291753,0.51400536,0.49570897,0.48093012,0.47498453,0.47735572,0.4801363,0.47574127,0.46190783,0.4452289,0.4342136,0.43438587,0.44493493,0.46203378,0.48378325,0.5092659,0.5351133,0.54974437,0.5439314,0.5168092,0.4806526,0.44622684,0.41926757,0.40167305,0.39925206,0.4192027,0.45809278,0.5015473,0.528946,0.5325897,0.5172356,0.49809775,0.4865348,0.48661336,0.49482808,0.5045562,0.5140391,0.5236191,0.534602,0.5398868,0.5324158,0.51016396,0.4839108,0.46883833,0.47252882,0.48919356,0.5023279,0.50156504,0.48772505,0.47388592,0.4717932,0.48429728,0.5040142,0.5184312,0.5208382,0.51178247,0.4991481,0.48895073,0.4829984,0.47994724,0.47899365,0.4834634,0.49443045,0.51088977,0.5254076,0.53429466,0.5349987,0.5304153,0.522239,0.5148983,0.5121804,0.5171105,0.52977747,0.5458552,0.5576902,0.55455154,0.532402,0.4969528,0.46288553,0.44098422,0.43344498,0.43587562,0.44522977,0.46154186,0.48333526,0.50498676,0.5178791,0.5175578,0.5056583,0.48912904,0.47601756,0.47121027,0.47656107,0.48910534,0.5061406,0.52237624,0.53363013,0.5347112,0.52557206,0.50999296,0.4953381,0.4868389,0.48377764,0.47904822,0.46276513,0.43288064,0.39834306,0.37637472,0.3799483,0.40775585,0.44691506,0.47972146,0.49987647,0.5075462,0.50910264,0.50475025,0.4966098,0.48699722,0.48189637,0.48415187,0.4923388,0.50150466,0.50552636,0.5026784,0.49483576,0.4871498,0.48333034,0.48399815,0.48909545,0.497044,0.51026344,0.5271035,0.54458386,0.5517853,0.54300845,0.5175366,0.48488808,0.45408282,0.4332993,0.42567837,0.43168917,0.44717214,0.46549156,0.4802672,0.48813346,0.48903263,0.48426354,0.47555932,0.46480966,0.45425704,0.4459958,0.44090036,0.4385948,0.4378353,0.4378525,0.43859565,0.44045892,0.44445968,0.45238528,0.46721563,0.48829746,0.50961334,0.5200372,0.5139948,0.49534324,0.47580716,0.4639076,0.46075282,0.46272433,0.46792388,0.47863558,0.49685612,0.5196102,0.53819466,0.54416305,0.5352065,0.51552325,0.49194014,0.47033277,0.45463026,0.4472251,0.44781807,0.45434356,0.46208432,0.46703562,0.46674553,0.46415964,0.4653895,0.47722208,0.50179386,0.532568,0.55637074,0.5581637,0.53413683,0.49213767,0.4498168,0.42016885,0.40776992,0.40814686,0.41580448,0.43002465,0.45114565,0.47639808,0.49563566,0.50303924,0.50106055,0.5001709,0.5065538,0.51787394,0.5282437,0.53309697,0.5344681,0.5331847,0.5309674,0.52591866,0.5191111,0.5110542,0.50295705,0.4953103,0.48720214,0.4769967,0.46091124,0.43936124,0.4165549,0.39882803,0.38689837,0.37509775,0.35719308,0.3318285,0.3048353,0.28302017,0.27067968,0.26655027,0.26733145,0.26985908,0.2733014,0.27785194,0.28375137,0.2901062,0.2953777,0.29739788,0.2946556,0.28746226,0.27979475,0.27864197,0.291755,0.32444727,0.3759348,0.43683276,0.48970032,0.51766294,0.51478916,0.48979822,0.45848617,0.4326255,0.4162543,0.4080617,0.4059274,0.40753266,0.4111537,0.4156069,0.42087814,0.42557767,0.42728746,0.4230398,0.41394904,0.40397033,0.39850947,0.39926672,0.40499794,0.41358542,0.4258757,0.44495538,0.46988526,0.49268126,0.50012726,0.4866445,0.4590588,0.43510655,0.42985287,0.44596598,0.473773,0.49878082,0.5151389,0.5227303,0.5245432,0.51657516,0.49757633,0.4707543,0.44692767,0.43214563,0.4248756,0.41658798,0.40098348,0.37883008,0.35651234,0.34074494,0.33302268,0.33161092,0.33365032,0.33900845,0.34731558,0.359301,0.37552002,0.40038142,0.43447033,0.4727029,0.4999059,0.5059549,0.49019587,0.46560726,0.4441704,0.4325587,0.42881823,0.4287171,0.42877614,0.42858088,0.4300373,0.43487254,0.4421402,0.4485433,0.45009243,0.4454166,0.43547687,0.42529237,0.42208996,0.43411258,0.46071374,0.4908844,0.5058829,0.4983404,0.47604787,0.4594202,0.4613111,0.48049974,0.50380135,0.518749,0.52307314,0.52025175,0.51413393,0.5010595,0.4786495,0.449837,0.42642924,0.41929832,0.43023172,0.45053664,0.46695074,0.4730924,0.47041652,0.46684098,0.4692454,0.47959533,0.49437356,0.5046592,0.5057963,0.49794605,0.48973823,0.48824704,0.49720654,0.513457,0.53096825,0.5458668,0.5561035,0.5607732,0.55400777,0.53214407,0.49686778,0.45990738,0.4338955,0.42659262,0.4368745,0.45910153,0.48670724,0.51384336,0.5344425,0.5432102,0.5384633,0.52262753,0.49964646,0.47195658,0.4429702,0.41971195,0.41171846,0.42314377,0.4471395,0.46933165,0.47787678,0.47241592,0.4603052,0.44948387,0.44057488,0.4320496,0.42394578,0.4229089,0.43374887,0.45651093,0.48230854,0.5036223,0.5149387,0.51606363,0.5059095,0.48803952,0.46953952,0.45985553,0.4613665,0.4685967,0.4740202,0.47588313,0.4796467,0.49028948,0.50681084,0.5221825,0.53023034,0.531084,0.5287564,0.52890635,0.53099394,0.5313103,0.5222175,0.50314033,0.48018804,0.46488002,0.46520105,0.48108277,0.5080942,0.5376002,0.5644489,0.5813648,0.5854688,0.57265216,0.54654795,0.51449895,0.48876098,0.47742698,0.4822379,0.4998424,0.52443343,0.5508163,0.5716036,0.5804573,0.5727493,0.55052894,0.5215698,0.49768987,0.4892926,0.49958286,0.5219495,0.54217833,0.5463523,0.52890706,0.4955829,0.45891443,0.42936078,0.40993837,0.39865085,0.39300218,0.393476,0.3998079,0.41056228,0.42199728,0.43187547,0.43911758,0.44383228,0.44651577,0.4483246,0.45281896,0.46203578,0.4751468,0.4851986,0.48683873,0.47805086,0.4636267,0.4492328,0.441133,0.44258037,0.4541005,0.47363696,0.49696574,0.5194845,0.5329887,0.5329197,0.5176801,0.49455884,0.46955812,0.44837987,0.43256485,0.4244888,0.4259251,0.43488693,0.44622588,0.45175576,0.44937623,0.4409851,0.43398592,0.43358192,0.44185245,0.45636293,0.47207794,0.48659578,0.4973451,0.5024009,0.49553707,0.47545722,0.44621703,0.41859123,0.3996327,0.3914982,0.3925936,0.40274203,0.4216465,0.4461569,0.4701676,0.48958114,0.50324625,0.510705,0.50771457,0.49162176,0.46524474,0.43851373,0.4206092,0.4147788,0.4188429,0.42840746,0.4425358,0.45958903,0.478508,0.49362198,0.5019254,0.50063616,0.49173167,0.4787347,0.4677963,0.46418563,0.46843353,0.47879872,0.49014726,0.49909258,0.49966502,0.49125633,0.47574577,0.45992127,0.4461489,0.43539485,0.4277636,0.42707562,0.43479845,0.44711015,0.45442644,0.45059267,0.43678388,0.422264,0.41548216,0.4215131,0.43762407,0.45917618,0.47950706,0.49531603,0.50140095,0.4939344,0.47117355,0.44111633,0.41551408,0.40359637,0.40347126,0.4097372,0.4177649,0.43030617,0.44691202,0.46556425,0.47843385,0.48577794,0.488328,0.49103725,0.49177673,0.4912132,0.48766038,0.48149368,0.47082022,0.45784092,0.44887683,0.45073518,0.46388993,0.47920477,0.48516348,0.4762549,0.4595091,0.4475846,0.44872037,0.46067882,0.47385684,0.4813377,0.48270997,0.48445952,0.4897602,0.49460554,0.49024022,0.47365883,0.45194328,0.43567216,0.43017507,0.433509,0.44198766,0.4563367,0.47717717,0.5014155,0.5175292,0.5167701,0.49778387,0.47128853,0.4500927,0.44298902,0.4497749,0.46425033,0.48049513,0.4940083,0.5022225,0.4997885,0.48556232,0.46385694,0.44704142,0.44585726,0.4631325,0.4901421,0.51021093,0.50987834,0.48752442,0.45663044,0.43635425,0.43851078,0.46122488,0.4912424,0.5162343,0.5296309,0.53255683,0.5272828,0.51729983,0.5063099,0.4989264,0.4989947,0.5065909,0.5181031,0.52496386,0.5207543,0.5044506,0.4836426,0.46802807,0.46337628,0.46785867,0.47445235,0.47818044,0.47868672,0.47921357,0.47946358,0.4776115,0.47234824,0.4670317,0.46423987,0.46417534,0.464705,0.4650177,0.46610153,0.46906355,0.47426283,0.48049876,0.48564136,0.48677376,0.4816774,0.47029436,0.45513928,0.4410542,0.43237075,0.43163502,0.4371537,0.44451568,0.44749466,0.44203377,0.42825243,0.4113219,0.39753923,0.38957354,0.384163,0.37660328,0.36533096,0.35390937,0.3460476,0.3438293,0.3473165,0.35694623,0.37203255,0.38934445,0.4041152,0.41239882,0.41342118,0.40853372,0.40073052,0.39290342,0.3868308,0.38155177,0.37390146,0.36096212,0.34269106,0.32230696,0.30369398,0.28884622,0.27706107,0.26657954,0.25626633,0.24614279,0.23665561,0.22792341,0.21997307,0.2131985,0.20850523,0.20603777,0.20490189,0.20308381,0.19934362,0.1932102,0.18542908,0.17672904,0.1680689,0.16037221,0.15473235,0.1519761,0.15211159,0.15425311,0.15749818,0.16256897,0.17233658,0.18989915,0.21481986,0.24165364,0.2626523,0.27329928,0.27476212,0.27146256,0.2669202,0.26188692,0.25626257,0.25037995,0.24516541,0.24060601,0.23607828,0.23154812,0.22839223,0.22780813,0.22852539,0.22678025,0.21936984,0.2067285,0.19294183,0.18293065,0.17995967,0.1850238,0.1967994,0.21128951,0.22157474,0.22086622,0.20681006,0.1850927,0.16675003,0.16199021,0.17292078,0.19284467,0.21123153,0.22198777,0.22605722,0.22763239,0.22769178,0.22338255,0.21251225,0.19816543,0.18630998,0.1806712,0.1794541,0.17975082,0.18217053,0.1909792,0.20809643,0.22935724,0.24768077,0.25856742,0.2621573,0.26045382,0.25499853,0.24676496,0.23616755,0.22340195,0.20810889,0.19106065,0.17345665,0.15718192,0.14318764,0.13232686,0.12445853,0.119074516,0.115007095,0.111377604,0.10774094,0.104104996,0.10075834,0.09814694,0.09706213,0.09807083,0.10111032,0.10478467,0.10729291,0.10722201,0.10482993,0.101663,0.10022673,0.10229067,0.10792946,0.11468342,0.11930754,0.1196119,0.11589682,0.1097865,0.10287142,0.096086286,0.09016302,0.08587342,0.08345915,0.08238634,0.081523985,0.079865396,0.07678323,0.07226158,0.0668984,0.061786864,0.05787404,0.05542856,0.054011595,0.05301693,0.052079126,0.05110309,0.050069436,0.04899575,0.048776995,0.05188601,0.062677026,0.083788015,0.11324042,0.14335448,0.16735046,0.1843903,0.19952512,0.21674317,0.23415482,0.24709459,0.25280443,0.2533177,0.25220838,0.25284395,0.25711223,0.26477945,0.2731639,0.27797887,0.27706274,0.27147496,0.26463878,0.25891018,0.25491512,0.25236282,0.25183722,0.25401446,0.2581561,0.26135346,0.26036945,0.25410268,0.24406733,0.2337771,0.22721238,0.2276635,0.23541741,0.24645011,0.25480518,0.2562343,0.250968,0.2409904,0.22804642,0.21242326,0.19527124,0.17882292,0.16591494,0.15809952,0.15540089,0.15645783,0.15948161,0.16273057,0.16510077,0.16618218,0.16624619,0.16582085,0.16548248,0.1661952,0.169914,0.17978646,0.19755363,0.22104317,0.24274135,0.2544357,0.2519488,0.23824106,0.22024812,0.20487618,0.19641382,0.1957335,0.20097356,0.20789398,0.21398504,0.21963523,0.22817375,0.23997658,0.25235906,0.26173273,0.26922175,0.2784525,0.2908684,0.30200437,0.30490538,0.29533666,0.2740647,0.24556853,0.21568608,0.19147973,0.1800115,0.1871814,0.2135917,0.25396702,0.29838538,0.3384801,0.37031028,0.39393258,0.40918803,0.4141779,0.4072794,0.38985407,0.36668643,0.34340093,0.3242747,0.31125948,0.30468193,0.3037884,0.30711028,0.312825,0.31821838,0.32040164,0.3169016,0.3091687,0.30182144,0.300051,0.30383906,0.30853942,0.3089547,0.30500707,0.30077502,0.30088702,0.305674,0.31226003,0.3162935,0.31547198,0.30927852,0.2995598,0.28963664,0.28428158,0.28692594,0.29780316,0.3126434,0.3260006,0.33373868,0.33511743,0.33083498,0.32228112,0.31094468,0.30008113,0.2940997,0.29691625,0.30825803,0.3233563,0.3356465,0.3420256,0.3444698,0.34783658,0.35522833,0.36618748,0.37719846,0.38462588,0.38609627,0.38173628,0.37284732,0.36164144,0.3499159,0.33971396,0.33273423,0.33044878,0.33311588,0.33966544,0.347886,0.35532925,0.36009088,0.36153826,0.3604529,0.3590168,0.3593835,0.3624281,0.36727965,0.37348613,0.38357565,0.40207696,0.43134728,0.46677113,0.4993254,0.52127177,0.53223556,0.5369463,0.5406026,0.544058,0.5459654,0.54536384,0.54457754,0.54562855,0.549742,0.5557339,0.5633841,0.5711729,0.5770841,0.5777398,0.57319945,0.5657747,0.5598493,0.5554734,0.5513657,0.54435647,0.5355279,0.52546453,0.514573,0.500165,0.48111537,0.458733,0.436255,0.41586456,0.3975204,0.3798987,0.36239386,0.34620067,0.33461264,0.33085045,0.3368423,0.35302272,0.3795971,0.41424337,0.4496839,0.47392443,0.48261943,0.485996,0.50937176,0.5680538,0.6527595,0.7251398,0.74958974,0.71791774,0.65873986,0.6115732,0.59870434,0.614819,0.6391805,0.65581155,0.6594346,0.6536205,0.64120007,0.62427086,0.6031959,0.5818201,0.56313795,0.54943377,0.5367987,0.5208253,0.49611172,0.4614084,0.41572487,0.3624629,0.30681238,0.2581961,0.22215508,0.19995826,0.18521284,0.1721543,0.15731937,0.14285491,0.13145754,0.12492659,0.122599,0.122721225,0.12294393,0.12100213,0.11530805,0.10591638,0.09422178,0.08265537,0.07309576,0.06676245,0.06356337,0.06272524,0.06261463,0.0615868,0.0585669,0.053562343,0.047021706,0.0391918,0.030200506,0.020822404,0.0124970265,0.006525941,0.0031331216,0.0016218605,0.0010295477,0.0007514436,0.0005501815,0.00038920282,0.00026805254,0.00018673576,0.00013853074,0.000112455076,9.689353E-05,8.447763E-05,7.286415E-05,6.278685E-05,5.5250173E-05,5.031411E-05,4.7366975E-05,4.5830253E-05,4.540825E-05,4.560527E-05,4.5699286E-05,4.4981163E-05,4.3488064E-05,4.1865143E-05,4.1035648E-05]