[0.02037067,0.020679167,0.02147974,0.022794968,0.024541678,0.026584981,0.028807053,0.031191327,0.033761263,0.036500733,0.03922762,0.041532185,0.042747557,0.042194102,0.03988525,0.037474845,0.038526118,0.046801966,0.06350577,0.08527114,0.105916835,0.12016022,0.12730908,0.1307603,0.1353495,0.1437264,0.15557276,0.16828842,0.178883,0.18502814,0.18557806,0.18067403,0.17140846,0.15940058,0.14602889,0.13237374,0.11944846,0.10844023,0.100336276,0.09544045,0.0938856,0.096452005,0.10481451,0.119737625,0.13955384,0.16011976,0.17760026,0.19044833,0.19965447,0.206255,0.2096984,0.2076214,0.19865502,0.18505335,0.17343424,0.17044872,0.17775768,0.19008772,0.19988815,0.2027467,0.19983129,0.19485283,0.19083525,0.1882178,0.1862262,0.18403281,0.18180758,0.18005091,0.17921533,0.17925161,0.17972662,0.17977174,0.17820935,0.17457078,0.17019425,0.16872358,0.1737908,0.18625708,0.2025134,0.21694343,0.22555165,0.22831148,0.22790654,0.22682601,0.22563155,0.22323185,0.21911295,0.21467547,0.21312559,0.21691048,0.22576314,0.2365814,0.24585533,0.25168082,0.2541885,0.25410926,0.2518046,0.24690813,0.23930033,0.22943063,0.21881574,0.20920539,0.20222555,0.19846852,0.1974988,0.19814341,0.19917391,0.1997416,0.1985091,0.19313467,0.18067606,0.16012937,0.13415408,0.10822735,0.08746307,0.07380966,0.066088945,0.0617488,0.059144497,0.058381543,0.06119464,0.069065504,0.081572495,0.095518194,0.10701263,0.113612205,0.11575786,0.11560435,0.115786426,0.118499875,0.12516113,0.13611628,0.1501498,0.16512068,0.17869945,0.18962789,0.1976947,0.20356579,0.20806049,0.21183835,0.21512735,0.2174716,0.21793167,0.21520711,0.20860226,0.19838786,0.1863801,0.1750269,0.1666765,0.16242373,0.16206802,0.16425554,0.16737686,0.17026909,0.17267872,0.17467101,0.17624067,0.17705084,0.17728262,0.17746018,0.17810847,0.17860305,0.17725587,0.17221625,0.16287436,0.15117252,0.14100857,0.13682519,0.14049537,0.15057719,0.16295223,0.17410368,0.18260343,0.18925172,0.19497262,0.19975288,0.20252015,0.20255595,0.20024101,0.19710362,0.19468261,0.19375084,0.19392826,0.19437484,0.19454539,0.19499625,0.19694416,0.20137542,0.20771724,0.21418168,0.21887471,0.22159457,0.22376144,0.2273025,0.23282789,0.23916341,0.2438762,0.24458241,0.23987202,0.23001021,0.21668965,0.20272672,0.1909193,0.18347603,0.18099783,0.18261202,0.18630983,0.18993281,0.19155602,0.18968867,0.1839834,0.17612986,0.16960178,0.16783035,0.17176121,0.17998426,0.18966657,0.19896114,0.20673938,0.21291733,0.21714099,0.21933849,0.21945135,0.21804251,0.21551694,0.21166086,0.2053219,0.19580059,0.1844631,0.1749813,0.17109855,0.17340374,0.17864309,0.18159318,0.17860158,0.16894306,0.15475492,0.13979873,0.12838145,0.124342956,0.12919575,0.14168651,0.15779696,0.17343287,0.18581937,0.19444396,0.19934796,0.200047,0.19539732,0.18529294,0.17176609,0.15850644,0.14883764,0.14418525,0.14393945,0.14629583,0.14972992,0.1533647,0.15740103,0.16163737,0.16549952,0.16760401,0.16727854,0.16451861,0.16021858,0.15529592,0.15071006,0.14725335,0.14576168,0.14674087,0.1500696,0.15475734,0.15937571,0.16283388,0.16461211,0.16465469,0.16301708,0.1601331,0.15697932,0.15477067,0.15435839,0.15561734,0.15748893,0.15856521,0.157723,0.15500091,0.15099639,0.14690267,0.14316265,0.13992725,0.13634866,0.13170086,0.12561221,0.11901796,0.11344114,0.110004105,0.10846927,0.10752687,0.10610536,0.10437033,0.104391195,0.1091476,0.12130549,0.14114934,0.16560374,0.18908305,0.20575218,0.21336387,0.21371102,0.21179454,0.21150969,0.21441917,0.21968353,0.22605635,0.23252787,0.23791395,0.24079292,0.23980598,0.23464632,0.22642161,0.21746461,0.21043621,0.20693469,0.20652306,0.20706333,0.20598285,0.20208834,0.19634128,0.19144148,0.19033302,0.19392031,0.20076041,0.2072599,0.21016234,0.20767485,0.20053305,0.19143535,0.18299478,0.1764249,0.17033923,0.16346584,0.15546928,0.1478945,0.141441,0.13591081,0.13098927,0.12847042,0.13163309,0.14235164,0.15895885,0.17646153,0.19016187,0.19777782,0.20022757,0.19963111,0.1979324,0.19628231,0.195068,0.19462366,0.19476907,0.19519949,0.1949399,0.19336683,0.19031738,0.18664052,0.18342184,0.18183856,0.18247156,0.18570824,0.19118834,0.19832225,0.20575218,0.21235754,0.21722828,0.22045028,0.22257511,0.22433437,0.22581057,0.22607696,0.22404431,0.21995986,0.2163397,0.21600173,0.21928512,0.2228034,0.22212343,0.21513541,0.20412605,0.19389285,0.18916613,0.19117129,0.19725434,0.20176764,0.19998156,0.1906118,0.17646228,0.16200124,0.15063691,0.14348884,0.13933454,0.13622458,0.13287313,0.1312323,0.13558868,0.15085311,0.17710291,0.20943718,0.23907469,0.26010266,0.27081868,0.27409896,0.27298924,0.2699348,0.26568115,0.26040122,0.2534817,0.2451312,0.23688947,0.23127866,0.22954692,0.23075189,0.23299313,0.23518737,0.23722728,0.23875295,0.23857224,0.23592292,0.23110835,0.22554423,0.2201008,0.21527623,0.2111734,0.20847787,0.20759554,0.20853823,0.21033853,0.21203643,0.21267122,0.21175022,0.20853348,0.2027006,0.19462828,0.18605511,0.17892642,0.17409463,0.1705954,0.16688235,0.16257262,0.15899678,0.15791114,0.15974554,0.16304074,0.16555904,0.16583423,0.16385674,0.16026692,0.1553746,0.14904362,0.14173956,0.13515855,0.13132316,0.13119535,0.13364294,0.13676165,0.1388243,0.13958567,0.13950509,0.13941582,0.13970746,0.14020032,0.14066997,0.14133908,0.14355154,0.14835931,0.15552326,0.16260095,0.16703212,0.16763516,0.16531897,0.16121711,0.15568392,0.1488017,0.14175455,0.13682735,0.13554116,0.13728094,0.13977528,0.14106284,0.14075994,0.1397119,0.1387301,0.13817495,0.13823354,0.13957696,0.14249654,0.14611833,0.14828122,0.14730708,0.14344792,0.13857698,0.13449161,0.1316911,0.129914,0.12961717,0.13236831,0.14008781,0.15265389,0.16752571,0.18050104,0.18905896,0.19334511,0.19557573,0.19745159,0.19901717,0.19951338,0.19820888,0.1954707,0.19172259,0.18810469,0.18540575,0.18470727,0.18590026,0.18870457,0.19220765,0.19616383,0.19997661,0.20376526,0.20797215,0.2141165,0.22254188,0.23199965,0.23929584,0.24257989,0.24187706,0.23963885,0.23775034,0.23756808,0.23916139,0.24265255,0.24793868,0.25459385,0.2618953,0.26834416,0.27277455,0.2741777,0.27286658,0.26916575,0.26310897,0.2532378,0.2384287,0.21886021,0.19800223,0.17996936,0.16839175,0.16334145,0.16388087,0.16829695,0.17606561,0.18576048,0.19530298,0.20223098,0.20518984,0.20454319,0.20175819,0.19898969,0.1977563,0.1985711,0.20053343,0.20196132,0.20064585,0.19477189,0.18394859,0.17048265,0.15827668,0.15073986,0.14869924,0.15115106,0.15684746,0.1649354,0.17406265,0.18157656,0.1850856,0.18435077,0.18267636,0.18504886,0.19547272,0.2142009,0.23740733,0.25927156,0.27487257,0.28271163,0.28435805,0.28284475,0.28003833,0.27563488,0.26797196,0.256351,0.24254908,0.23011927,0.22161047,0.21716332,0.21474381,0.21265215,0.21002494,0.2069543,0.20323204,0.19907053,0.1953532,0.19393714,0.1963569,0.20288426,0.21208157,0.22149599,0.22884296,0.23312093,0.23462306,0.23407374,0.23122264,0.22518903,0.21502352,0.2013644,0.18591017,0.17124842,0.15917611,0.15073214,0.14596587,0.14466,0.14620449,0.1497191,0.15436725,0.15973525,0.16558598,0.17141972,0.17642705,0.18025659,0.18288356,0.18431777,0.18391882,0.18146253,0.17771442,0.174865,0.17459886,0.17720889,0.18095452,0.18401669,0.18520595,0.18458515,0.18266143,0.18033607,0.17887251,0.1796308,0.1839732,0.19249444,0.20487571,0.21911824,0.23258322,0.2429025,0.24921966,0.25175464,0.25122643,0.24822842,0.24276583,0.23418635,0.22163379,0.2053771,0.18726069,0.17004776,0.1559373,0.14589679,0.13959824,0.1358673,0.13323699,0.13112639,0.13045646,0.13310103,0.13963616,0.14820431,0.15519853,0.15818255,0.1571113,0.1538635,0.1500045,0.14637063,0.14354838,0.14318152,0.14728378,0.15681969,0.16989543,0.18254136,0.19106203,0.19466339,0.19519041,0.19498378,0.19458945,0.19308782,0.18961929,0.18483871,0.18011208,0.17626685,0.17289592,0.16938525,0.16569056,0.16230159,0.15941739,0.15691312,0.15471566,0.15303697,0.15201886,0.15118097,0.14956535,0.1461329,0.14085083,0.13504691,0.13093404,0.13015138,0.13250074,0.13659482,0.14119554,0.14676784,0.15436514,0.1640032,0.17337827,0.1795975,0.1814586,0.18034655,0.17861538,0.17797105,0.17936559,0.18370797,0.19140185,0.2017501,0.21278442,0.22259444,0.22949453,0.23278558,0.23304997,0.23275828,0.23441838,0.23854549,0.24300867,0.24534272,0.24479425,0.24303192,0.24238162,0.24423862,0.2477318,0.250343,0.24950105,0.24466427,0.23774888,0.23162933,0.22786194,0.2258633,0.2244948,0.22324549,0.22289716,0.22327115,0.22366004,0.22224538,0.21849339,0.21230854,0.20467137,0.19904923,0.20386852,0.23346503,0.29529193,0.37977532,0.45409527,0.4860706,0.4633511,0.40515652,0.34186128,0.2959063,0.27100554,0.25948444,0.2537762,0.2506807,0.2506334,0.25224778,0.25390187,0.25525978,0.26017475,0.27102432,0.286544,0.29936945,0.30428052,0.29882982,0.28633514,0.26924333,0.25010088,0.2298088,0.21068089,0.19611506,0.18936902,0.19138579,0.19921757,0.21109225,0.23081273,0.2704826,0.3363942,0.417868,0.4823099,0.5002261,0.46456754,0.39859247,0.3320671,0.28320885,0.2525211,0.23423426,0.22434497,0.22091524,0.2208444,0.21915941,0.21234089,0.20115174,0.18901521,0.1792237,0.17184468,0.16644798,0.16369198,0.16692805,0.17857623,0.19727069,0.21620132,0.22726266,0.22624682,0.21640623,0.20457286,0.19603376,0.19135557,0.19029175,0.19514942,0.21047413,0.23649542,0.26613417,0.28747943,0.293139,0.28346375,0.2655548,0.2458753,0.22866565,0.21513854,0.20626295,0.20192756,0.2010714,0.20095474,0.19905202,0.19440041,0.18874514,0.18502022,0.18571647,0.19120413,0.20108283,0.21741295,0.24709582,0.29754293,0.3650699,0.42958048,0.4626261,0.44966736,0.39901856,0.33652678,0.2837653,0.25022578,0.23187518,0.22266042,0.21715629,0.2141077,0.21201992,0.21010655,0.20790328,0.20844775,0.21599829,0.23192763,0.25114116,0.2650542,0.26873788,0.2649459,0.26117042,0.2629479,0.269784,0.27674988,0.27832675,0.27235448,0.26100186,0.24891509,0.24051635,0.23962368,0.2525481,0.28574052,0.33714184,0.38830087,0.4128388,0.39592075,0.34651676,0.28939345,0.2463224,0.2248071,0.21999514,0.22322284,0.2282279,0.23229815,0.23450732,0.23352218,0.22829412,0.21934922,0.20966364,0.20223635,0.19860905,0.1984642,0.20171261,0.20894708,0.22037424,0.23384903,0.24464838,0.24859564,0.24493377,0.23757376,0.23113604,0.22798473,0.22763766,0.23042898,0.23942761,0.25597498,0.27551487,0.28625834,0.27989686,0.25709245,0.22941214,0.20815854,0.19899814,0.19911851,0.20313007,0.20658834,0.20879938,0.21074511,0.21312858,0.21460672,0.21405274,0.21170568,0.20949341,0.20784955,0.20591189,0.20507814,0.21381088,0.24582319,0.30684498,0.3834454,0.4437875,0.46057677,0.42984223,0.37390983,0.32050526,0.28511044,0.2668681,0.25843287,0.25533703,0.25713992,0.2648276,0.27692392,0.29111406,0.30551466,0.32121995,0.33863863,0.3557557,0.36586687,0.36419845,0.35071564,0.33284327,0.31744006,0.3072742,0.298371,0.28622726,0.26945227,0.25105423,0.23522092,0.22405286,0.2196324,0.22686644,0.25556335,0.30943665,0.3768032,0.42818093,0.43740475,0.3999726,0.33787462,0.27956876,0.24121642,0.2220224,0.2138292,0.21229772,0.21749176,0.23058264,0.24777444,0.26289836,0.27012396,0.26932952,0.26323724,0.25607637,0.24855769,0.24117291,0.23384733,0.23073559,0.234672,0.24644618,0.25979945,0.2688791,0.27067626,0.26913345,0.26833606,0.27138758,0.2789547,0.29320195,0.31349483,0.33401743,0.34306738,0.33362302,0.30874488,0.2803975,0.2583696,0.24532491,0.23815586,0.23379545,0.23146306,0.23204716,0.23586355,0.2416176,0.24609025,0.24640965,0.24153785,0.23339494,0.2251761,0.22002594,0.2209075,0.23192878,0.2594637,0.30616748,0.3646159,0.41307428,0.4298494,0.4066954,0.35857737,0.30863574,0.27512443,0.2600101,0.25642255,0.2558349,0.25600272,0.2593082,0.26856056,0.28240418,0.2963152,0.30612028,0.3108375,0.31100917,0.30726698,0.29950854,0.28906977,0.27853027,0.27123514,0.269053,0.2721584,0.2788262,0.28666422,0.2931176,0.29674068,0.29708275,0.2965528,0.30106738,0.32079807,0.3615141,0.41620138,0.4610671,0.47212163,0.44209495,0.38824287,0.33525905,0.29930046,0.28006375,0.27089813,0.26619264,0.26534644,0.26810706,0.2725744,0.27463606,0.27162945,0.26378158,0.2543253,0.24592121,0.23952396,0.23377912,0.22797479,0.22257943,0.21976858,0.22111957,0.22673284,0.234701,0.24249063,0.24825372,0.25140983,0.25259623,0.25387815,0.25882718,0.27137372,0.2905027,0.30883718,0.3142976,0.30133677,0.27402076,0.24518538,0.22522582,0.21806449,0.22040306,0.22684382,0.23303814,0.23694564,0.23863964,0.23891795,0.23894767,0.23916857,0.23961897,0.23921472,0.23711918,0.23330986,0.23260152,0.24438608,0.28041112,0.34004208,0.40544257,0.4443183,0.43752503,0.39025906,0.3316554,0.2872332,0.26657927,0.26134267,0.259647,0.25417045,0.24382941,0.23126505,0.21959125,0.21286277,0.21388632,0.22369172,0.23836787,0.25175455,0.25785205,0.25620437,0.25021073,0.24623446,0.24785428,0.25632942,0.26820588,0.27918413,0.28441572,0.2825645,0.27493176,0.2660837,0.26275125,0.27345154,0.30474684,0.35245278,0.3992907,0.42111397,0.40668043,0.36381438,0.31464753,0.27616182,0.25384966,0.24298906,0.23726094,0.23320626,0.22995931,0.22880988,0.2291593,0.22983165,0.22841872,0.2247297,0.2194776,0.21406978,0.20943737,0.20697217,0.20873804,0.21596079,0.22656924,0.23509443,0.23663175,0.23129314,0.22430997,0.22096716,0.22239983,0.22676422,0.23340881,0.24566458,0.2656455,0.2905469,0.31013647,0.31630623,0.30727664,0.29016542,0.27230933,0.258217,0.24781252,0.23983578,0.233059,0.22770424,0.22535926,0.22743309,0.23307683,0.23942943,0.24444748,0.24867131,0.25397405,0.2606299,0.26937664,0.2840933,0.3144953,0.36414614,0.42412436,0.46864092,0.47786805,0.44812104,0.39877236,0.35050365,0.31614098,0.29441062,0.2791165,0.26408625,0.24636905,0.22766854,0.21203448,0.20444383,0.20629793,0.21640527,0.23050444,0.2437075,0.24991848,0.24571638,0.23232384,0.21782537,0.2114213,0.21776994,0.23247926,0.24666761,0.25374794,0.25439218,0.25398037,0.2565776,0.2636551,0.27696928,0.3039415,0.3489062,0.40479836,0.44722554,0.4539441,0.42058566,0.3667767,0.31722844,0.28526196,0.2687609,0.25905773,0.2511507,0.2446068,0.2412235,0.24045569,0.24041812,0.23911165,0.23619223,0.2316748,0.22614574,0.22121161,0.2202375,0.22626425,0.23935044,0.25609732,0.27106586,0.28039646,0.28264868,0.27976185,0.27484107,0.27135196,0.2712324,0.275131,0.28257573,0.29220816,0.30072403,0.30329856,0.2965578,0.2826443,0.26848876,0.26068795,0.26061603,0.2649692,0.2699921,0.27399158,0.27708575,0.27906954,0.27900267,0.27577066,0.2693926,0.26123717,0.25327614,0.24712263,0.24389262,0.24528797,0.2555312,0.28171858,0.32910582,0.3923349,0.45089743,0.47893274,0.46302068,0.41332784,0.3544986,0.30851376,0.28252947,0.27230844,0.26962975,0.26898038,0.26754388,0.2650829,0.26221344,0.26047456,0.26060477,0.26234382,0.26365566,0.26262495,0.25910556,0.25571373,0.2565307,0.2632147,0.27437004,0.28506514,0.29187775,0.29317042,0.29080102,0.28673187,0.2825148,0.2802187,0.28451598,0.3048194,0.34604022,0.40188798,0.44782305,0.45899892,0.42484748,0.36255792,0.29909077,0.25602257,0.2351924,0.22962159,0.23083287,0.23699354,0.24675518,0.25824443,0.26664764,0.26970533,0.26730707,0.26275858,0.25818416,0.25519407,0.25407568,0.25573513,0.26086578,0.26804104,0.2741756,0.2747623,0.2685977,0.25711873,0.2452143,0.23619322,0.23118825,0.2293943,0.23220111,0.24493177,0.26945463,0.29924425,0.3171446,0.31193238,0.28482327,0.25114533,0.22356242,0.20665257,0.19660415,0.18973975,0.18466641,0.18175952,0.18051958,0.179574,0.17702444,0.17267601,0.16772003,0.16478217,0.16487849,0.1678984,0.17566727,0.19654977,0.24380119,0.3191034,0.40212688,0.45319518,0.44672537,0.3884771,0.31344822,0.2524902,0.21671176,0.19888382,0.1895615,0.18437241,0.18220975,0.18283653,0.18457222,0.18661155,0.18832152,0.19082679,0.1946346,0.19981782,0.20466696,0.2075698,0.20765531,0.20614202,0.20518868,0.20616432,0.20805009,0.20852847,0.20599626,0.2014956,0.19735907,0.19631815,0.20210083,0.22212426,0.26632765,0.3341565,0.40653408,0.44875857,0.43970147,0.38605627,0.31960496,0.26764226,0.23955353,0.22809626,0.22405833,0.22332226,0.2261212,0.23292708,0.24141209,0.24768996,0.24918295,0.24638659,0.24191827,0.23771656,0.23553254,0.23636639,0.2418294,0.25047186,0.25929028,0.2634581,0.26154125,0.25469312,0.24672867,0.24013238,0.23571825,0.23318718,0.23373862,0.24088211,0.2567325,0.27734816,0.29172263,0.28953397,0.2693717,0.2402424,0.21425392,0.19927938,0.19728355,0.20650704,0.22320156,0.24190682,0.25596997,0.26009047,0.25262088,0.23780501,0.22279923,0.21336669,0.20908307,0.20564447,0.20150398,0.20302474,0.22287743,0.26883852,0.33462653,0.39975533,0.442098,0.45264992,0.43663684,0.40754166,0.37508842,0.3459029,0.32350048,0.3107791,0.30692384,0.30638778,0.30253398,0.29151168,0.27551848,0.25947696,0.24828832,0.24388707,0.24534465,0.24978824,0.2539205,0.25669757,0.25860825,0.26248422,0.26952335,0.28160754,0.29720536,0.3149868,0.32984623,0.33840263,0.33653286,0.32445025,0.30442134,0.2830762,0.26645932,0.25751087,0.25384536,0.25100586,0.24676187,0.2418107,0.23855023,0.23742773,0.23747571,0.2364093,0.23361959,0.22977416,0.22661424,0.22480957,0.22436439,0.22509255,0.22683989,0.2280916,0.22613172,0.21871102,0.20622641,0.19099379,0.17554116,0.16126592,0.14928617,0.14145593,0.14035493,0.14780939,0.16294427,0.18151033,0.1972575,0.20505607,0.20366482,0.196241,0.18771882,0.18095021,0.17472023,0.16576344,0.15318596,0.14076035,0.13531943,0.14146183,0.15846217,0.17984484,0.19804327,0.20815462,0.21057463,0.20878269,0.20667696,0.20645444,0.20961566,0.2173968,0.2303896,0.24543662,0.25630924,0.25528687,0.23926438,0.21043305,0.17666757,0.14698201,0.13021575,0.13204013,0.15315093,0.18706067,0.22223063,0.24766989,0.25881615,0.258415,0.25256425,0.24520612,0.235861,0.22111408,0.19894288,0.17173488,0.14620833,0.12902753,0.122906655,0.12586308,0.13450254,0.1462667,0.15901501,0.169563,0.17481191,0.17489569,0.1738524,0.17663683,0.18416734,0.1931656,0.19954503,0.20300017,0.20591472,0.20943062,0.21079402,0.20661397,0.1975394,0.18889149,0.18555035,0.18769014,0.19188456,0.1964535,0.2036597,0.21649916,0.23275709,0.24400663,0.24012053,0.21742155,0.18149106,0.14463554,0.11758622,0.10501962,0.10473123,0.113108315,0.12778442,0.14797066,0.17026585,0.1883353,0.19585158,0.19161202,0.18030031,0.16919757,0.163215,0.16291803,0.16530411,0.16734393,0.16778362,0.16782522,0.16879459,0.1711757,0.17417198,0.17715311,0.17989613,0.18232346,0.18355812,0.18231541,0.1781124,0.17237973,0.1678666,0.16640157,0.16785121,0.17059624,0.17425774,0.17963798,0.187732,0.19710256,0.20466344,0.20747434,0.20496963,0.19887173,0.19156288,0.18469451,0.17891228,0.17484905,0.17368597,0.17605717,0.1808728,0.18463957,0.1846465,0.18102497,0.1776412,0.1773961,0.1794619,0.1794589,0.1743276,0.16497429,0.15476654,0.14617422,0.1390932,0.13247351,0.12601103,0.12140309,0.121878885,0.13032071,0.14627421,0.16366898,0.17278701,0.165881,0.14317079,0.113894545,0.09035411,0.08053856,0.084278055,0.09618765,0.109700345,0.11935702,0.12220949,0.119556345,0.1169681,0.11991447,0.12814121,0.1359191,0.1365474,0.1282052,0.11371554,0.0985072,0.0870932,0.08177447,0.08174517,0.08393801,0.085193776,0.08412048,0.08203709,0.08141505,0.08548349,0.09617126,0.11402308,0.1360609,0.15771239,0.17415112,0.18356031,0.18668169,0.18578295,0.18286689,0.17883967,0.173254,0.16352984,0.14667003,0.12139851,0.091713816,0.06552773,0.052011296,0.0562596,0.07756143,0.10884803,0.14049739,0.16468678,0.1791069,0.18593566,0.18830223,0.18744093,0.18328752,0.17617315,0.16748469,0.15850896,0.14976749,0.14119588,0.13282259,0.12464848,0.11630163,0.1070717,0.09653887,0.08499841,0.07325139,0.062020924,0.051655624,0.042272802,0.03399444,0.026897067,0.020858025,0.015612512,0.011038281,0.007289139,0.004590946,0.002964709,0.0021798306,0.0019322811,0.0020217989,0.0022940293,0.0025977094,0.0027168256,0.0025644423,0.0021784035,0.0017470435,0.0014005983,0.0011922958,0.0010781926,0.0010131546,0.0009777563,0.0009781243,0.0010242405,0.0011017505,0.0011728451,0.0011843365,0.001097858,0.00091601466,0.0006855645,0.00047900042,0.0003984413,0.0006751896,0.0018897216,0.005145988,0.01204401,0.024184322,0.04245184,0.06620005,0.09311015,0.11965028,0.14227365,0.15791337,0.16445047,0.16118257,0.15158035,0.14396746,0.1488988,0.17089915,0.2045625,0.23739366,0.25974524,0.27021793,0.27428672,0.27772346,0.28204015,0.28432927,0.28047833,0.2697661,0.25506404,0.24005182,0.22412777,0.2056312,0.1869611,0.17733335,0.1832803,0.1994434,0.21051918,0.20565325,0.19061653,0.18115783,0.18751733,0.20228882,0.21058531,0.20397674,0.19090497,0.18650441,0.20158823,0.23415272,0.2753071,0.31654134,0.3552662,0.3915527,0.42301643,0.4431062,0.44616452,0.43306553,0.41082457,0.3873476,0.3661684,0.3478062,0.33217025,0.32162106,0.31760392,0.31894174,0.32017758,0.31774262,0.3155254,0.32594624,0.3593174,0.40978742,0.45473495,0.46955732,0.44897556,0.40718076,0.36570045,0.3355107,0.31756747,0.30720386,0.3014344,0.29802048,0.2953153,0.29130694,0.2875004,0.2917171,0.31781366,0.37166786,0.43966198,0.48959717,0.49518332,0.45598432,0.39641416,0.34386826,0.31065288,0.2944577,0.2875997,0.2851132,0.2841868,0.2834893,0.2819754,0.28004494,0.27844742,0.27809915,0.27846467,0.27874243,0.2780378,0.27690125,0.2760966,0.27607104,0.27564836,0.27302417,0.26724204,0.2601095,0.25526047,0.25546113,0.2596991,0.26511165,0.27045083,0.2800317,0.29837188,0.32588902,0.3521693,0.36540437,0.3576871,0.334996,0.30831158,0.288705,0.2786074,0.2756624,0.27543262,0.27418885,0.26865473,0.255952,0.2364385,0.2148726,0.19964749,0.19772802,0.20992494,0.22985399,0.2500417,0.27084956,0.30343184,0.35805026,0.4279519,0.48504487,0.49950126,0.46406385,0.40037504,0.33977878,0.3002738,0.28027973,0.26971874,0.2629445,0.26184428,0.27020192,0.28747165,0.30881643,0.33106408,0.3585206,0.3980218,0.4470967,0.4865817,0.49246708,0.45648065,0.39541507,0.33842078,0.30496728,0.29564962,0.29839215,0.30221733,0.30272874,0.3013846,0.3002626,0.3026585,0.31469774,0.34668973,0.40217638,0.46744776,0.5108455,0.5056347,0.45219943,0.3798715,0.32263717,0.29533342,0.29094255,0.2945671,0.29691342,0.29620457,0.2934958,0.2890292,0.28195652,0.2725074,0.2630099,0.25721157,0.25772372,0.26473776,0.27806997,0.3011538,0.34012625,0.3954459,0.45267114,0.4863826,0.47740534,0.429348,0.36582974,0.31304267,0.28284624,0.27272385,0.27486503,0.28508824,0.3009611,0.3182201,0.32876873,0.32752585,0.31572092,0.3014295,0.29145524,0.28843403,0.28998324,0.29366598,0.29816458,0.30321047,0.30756342,0.3092611,0.30745843,0.3033515,0.29952058,0.2972075,0.2966089,0.29774383,0.30412924,0.32162538,0.35540023,0.40123948,0.44420668,0.46460065,0.45317674,0.41696194,0.37430212,0.3406807,0.3218296,0.31452325,0.31300163,0.31292427,0.31289747,0.31311408,0.31463358,0.31982756,0.33395162,0.36374962,0.4088836,0.45711684,0.48563644,0.4794369,0.43980265,0.38633284,0.3389645,0.30980968,0.29820406,0.2981203,0.30204841,0.30503204,0.3058106,0.30682275,0.31343612,0.33141783,0.36358753,0.40506327,0.4415637,0.45614827,0.4407362,0.40346298,0.36168957,0.3291068,0.3086837,0.29716554,0.292829,0.29616997,0.3068439,0.32040358,0.3317254,0.33719972,0.33652607,0.33021852,0.31947002,0.3059493,0.29290935,0.2844915,0.28456786,0.2949899,0.31376103,0.3350359,0.35132393,0.35826936,0.3565255,0.3502445,0.3420976,0.33275032,0.32353795,0.32066488,0.33012113,0.35134327,0.37203643,0.37877432,0.3647884,0.33658382,0.30419385,0.27690992,0.25778574,0.24746351,0.24372892,0.24362355,0.24346055,0.24100785,0.23589055,0.22929297,0.2221334,0.21384633,0.20220077,0.18524152,0.16645472,0.15848583,0.1818089,0.24763946,0.3436452,0.4305054,0.47027543,0.45045313,0.3937967,0.33360955,0.29306433,0.27447632,0.2701452,0.2711986,0.2735803,0.2761552,0.27913496,0.28438887,0.2969297,0.32438794,0.36791548,0.41508928,0.44267133,0.4348624,0.3973806,0.35237756,0.3198038,0.3033683,0.29578623,0.2889804,0.28136274,0.27453992,0.27058017,0.2697334,0.27369222,0.28701988,0.3186644,0.37131956,0.43407157,0.47935548,0.48379445,0.44444838,0.38387576,0.3297173,0.29708362,0.28420985,0.28148404,0.2821015,0.2830775,0.28504267,0.2875451,0.28992715,0.29049972,0.28888395,0.2857997,0.28248462,0.28144073,0.28690282,0.30607364,0.34259617,0.39067137,0.4327108,0.44978347,0.435276,0.39838293,0.35746908,0.32544026,0.3083472,0.3049159,0.31500837,0.3356867,0.36230692,0.3842493,0.39199832,0.38057497,0.3535771,0.3183718,0.28187445,0.24855767,0.22227411,0.20794253,0.20953353,0.22749071,0.25587252,0.28491232,0.30473813,0.31150627,0.30747524,0.29901874,0.291168,0.28803313,0.29398045,0.31687248,0.36108318,0.42096674,0.4756892,0.5024044,0.4906089,0.4506793,0.4033003,0.36497757,0.34123686,0.32945803,0.3258188,0.3267993,0.32982042,0.33235168,0.33480215,0.34203756,0.36251366,0.39955625,0.44405857,0.4753274,0.47647467,0.44803056,0.4079919,0.3764325,0.36126137,0.3569483,0.3536167,0.34622446,0.3361576,0.32686433,0.31912732,0.31220433,0.308581,0.317481,0.34632087,0.3908302,0.43053284,0.44410253,0.4245875,0.3851421,0.34613016,0.32178178,0.31513235,0.32153633,0.33346096,0.34312257,0.3445485,0.3351835,0.31573498,0.28985223,0.26340488,0.24420433,0.23867689,0.24800651,0.26659396,0.28560266,0.29850838,0.3033416,0.30158055,0.29515505,0.28622615,0.27730107,0.27149335,0.27049366,0.27312765,0.27674946,0.28143528,0.2934408,0.31906298,0.3559809,0.3876729,0.3965751,0.37695813,0.34161043,0.30781093,0.28575563,0.2735157,0.26493466,0.2564393,0.24909544,0.24571408,0.24683706,0.25018784,0.25228277,0.25125828,0.2472431,0.2410066,0.2333405,0.22754192,0.23260798,0.26138029,0.31845424,0.39054802,0.44816148,0.46756658,0.44623503,0.40359673,0.36119035,0.33030918,0.3115311,0.3036801,0.30709478,0.31990597,0.3356583,0.3459818,0.34896407,0.3523936,0.37016687,0.40816522,0.4553527,0.48632297,0.48235786,0.44610348,0.40064242,0.36758912,0.353743,0.35042045,0.34813586,0.34281695,0.33722922,0.33382222,0.3338927,0.33771548,0.34877762,0.37173808,0.40650252,0.44255388,0.4627725,0.45613536,0.42645454,0.38972044,0.3612318,0.34652567,0.34164128,0.33985472,0.3380058,0.33580074,0.33344623,0.32808778,0.317319,0.30191198,0.28749153,0.2794166,0.27897206,0.28493944,0.29898557,0.32863694,0.37739453,0.435581,0.47815958,0.4841464,0.45225048,0.40335822,0.36165938,0.33830822,0.33025298,0.32951832,0.3342816,0.3458108,0.36496046,0.38425842,0.39464474,0.38965777,0.3729069,0.35194525,0.33397293,0.32005373,0.30774695,0.29370618,0.27767172,0.2624557,0.25160363,0.24558203,0.24132518,0.23555996,0.2284518,0.22326614,0.22278379,0.22873326,0.24429178,0.27766076,0.33360314,0.40500477,0.46707153,0.49543023,0.48108444,0.43932983,0.39311877,0.3595713,0.34199563,0.33606395,0.33566546,0.3367931,0.33804634,0.3395587,0.34290156,0.35202911,0.3736496,0.41155136,0.45822546,0.49378648,0.4981427,0.4679581,0.41907707,0.37512276,0.3492464,0.34132716,0.34207293,0.34420994,0.34379044,0.3409649,0.3360392,0.33167246,0.33364427,0.351907,0.39101875,0.44176105,0.47968462,0.48261788,0.44743526,0.393324,0.3450433,0.3165157,0.3067881,0.3075482,0.3112537,0.31411982,0.31565964,0.31684923,0.3179623,0.31831458,0.31661102,0.31330612,0.309616,0.30715278,0.3059119,0.3051376,0.30396387,0.3020674,0.29989156,0.29756263,0.2955114,0.2937496,0.29299226,0.2935226,0.29584813,0.30084053,0.31112662,0.3290895,0.35287437,0.37312904,0.37761855,0.35982314,0.32547757,0.2875428,0.25778225,0.23974574,0.23161197,0.22968812,0.23226959,0.23780786,0.24381973,0.24486466,0.23495615,0.21119177,0.17752539,0.14348467,0.119090326,0.11091173,0.12318047,0.16116028,0.22842412,0.31731638,0.40367988,0.45714462,0.4621905,0.4285768,0.38153878,0.34143546,0.3148543,0.29985335,0.2948129,0.29999197,0.31326127,0.32916677,0.34114754,0.3482907,0.3566047,0.3760167,0.40828833,0.4413558,0.45496586,0.4393811,0.40446103,0.37189865,0.35579124,0.35440782,0.35618815,0.35202911,0.3402836,0.32472908,0.3104116,0.30100858,0.29832855,0.3022817,0.31142715,0.32286343,0.33247086,0.33652353,0.3341377,0.32852173,0.32506964,0.32716516,0.33506438,0.34656873,0.36158153,0.3799738,0.3999392,0.41354612,0.4125316,0.39396235,0.36506233,0.3376975,0.32117978,0.31798932,0.3260541,0.34241232,0.3647519,0.38945505,0.41108787,0.42330638,0.423759,0.4143808,0.4004012,0.3846409,0.36802733,0.35076153,0.3369818,0.33333707,0.3450201,0.36967,0.39693752,0.4158813,0.42319044,0.42518535,0.42902708,0.43492162,0.4362174,0.42781687,0.41279027,0.39856663,0.39002526,0.38362885,0.37446317,0.3616871,0.35272276,0.35394573,0.36520836,0.37783253,0.38336393,0.37869528,0.36635652,0.3500671,0.3324465,0.31623265,0.3041035,0.29770088,0.29552373,0.2941425,0.2903652,0.28327224,0.2747421,0.2679233,0.26545846,0.2675329,0.2718037,0.27483734,0.2738301,0.26844838,0.26027846,0.25241992,0.24749243,0.24738304,0.25296262,0.26388142,0.2784815,0.29260036,0.30144927,0.3004065,0.28890213,0.2699732,0.24989444,0.23380335,0.2239083,0.21977192,0.22014765,0.22496785,0.23279704,0.24084753,0.24410321,0.24033386,0.23115616,0.2217205,0.21613018,0.21457563,0.21479696,0.21427594,0.21355163,0.21420062,0.2180019,0.22436576,0.23157865,0.23791526,0.24265982,0.24633461,0.2491122,0.2513924,0.25289324,0.25392142,0.2544577,0.2545289,0.25401855,0.2526977,0.25074607,0.24801372,0.24466075,0.2405812,0.23645258,0.23380627,0.23465644,0.24003176,0.24839701,0.2567813,0.26277542,0.26633915,0.2685547,0.26985452,0.2696814,0.26767197,0.26436746,0.26028445,0.25517166,0.24846727,0.24015564,0.230749,0.22023301,0.20807302,0.19369076,0.17793655,0.1633989,0.15504372,0.15865253,0.17813493,0.21128511,0.24961625,0.2822294,0.30283403,0.31197754,0.31503296,0.31659177,0.3183342,0.3191595,0.31774095,0.3136377,0.3073748,0.29945305,0.2900148,0.27929044,0.26844522,0.25899088,0.2518637,0.24646686,0.24196702,0.23825222,0.23628025,0.23665261,0.23897399,0.24233282,0.24590044,0.24891366,0.2501734,0.24911737,0.24666484,0.24518009,0.24656618,0.25127557,0.25857604,0.2671052,0.27486065,0.2791251,0.27785075,0.27076516,0.25913832,0.24460252,0.22856988,0.21308638,0.20024276,0.19119471,0.18504916,0.18039398,0.17671244,0.1743672,0.1732254,0.1722381,0.17075647,0.16924071,0.16838391,0.1680183,0.1674272,0.16661793,0.16605024,0.16569461,0.16487192,0.16362375,0.16316004,0.1644538,0.16689646,0.16886765,0.16953485,0.16927843,0.16880196,0.16842093,0.16852714,0.16990383,0.17289908,0.17677183,0.18024409,0.18291445,0.1854019,0.18796296,0.18983655,0.18981563,0.18807234,0.18568784,0.1835159,0.18111414,0.17807348,0.1758519,0.17686917,0.1825106,0.19122356,0.20147894,0.21399657,0.2313015,0.2533042,0.27501807,0.2899712,0.2947526,0.29145426,0.28439382,0.27755818,0.27273223,0.27065828,0.27108553,0.27320328,0.27536908,0.2757974,0.2733104,0.26786387,0.26049995,0.25235653,0.24415095,0.23611236,0.22897099,0.22425373,0.22366212,0.22759552,0.23464881,0.24216764,0.24765389,0.24940096,0.24712628,0.24176787,0.23544781,0.23010404,0.22710066,0.22676592,0.2292157,0.23392272,0.23972885,0.24490817,0.24824166,0.24976121,0.25045303,0.25155792,0.25356388,0.25614586,0.25819364,0.2585796,0.2566717,0.2528308,0.2482078,0.24408223,0.24113901,0.2391911,0.2377017,0.2364919,0.23603414,0.23682363,0.2384649,0.23951991,0.23869564,0.23602521,0.23305297,0.23114465,0.23042297,0.22942336,0.2265814,0.22140276,0.21529086,0.21135664,0.21272092,0.22096872,0.23447764,0.24983875,0.26335883,0.27347323,0.28030095,0.28490004,0.28760025,0.2879021,0.2848494,0.27789542,0.26747537,0.2548169,0.24172132,0.22954161,0.21918534,0.21073715,0.20430984,0.20023318,0.19955175,0.20394485,0.21423046,0.22915173,0.24406636,0.25404894,0.2565131,0.25358313,0.2493794,0.24739332,0.24843621,0.25153112,0.25475895,0.25656644,0.25611272,0.25399178,0.25128326,0.24900873,0.24739294,0.24647622,0.24638613,0.24726911,0.24892648,0.2507174,0.25207308,0.25269884,0.2526658,0.2517331,0.2495714,0.2457556,0.24055028,0.23435996,0.22771758,0.22094399,0.21470122,0.20998727,0.20777883,0.20847683,0.21150112,0.2156602,0.21934593,0.22151607,0.22161321,0.22017859,0.21789823,0.21596396,0.21518807,0.21634163,0.21929139,0.2232831,0.22691685,0.2290289,0.22887297,0.22644967,0.22201675,0.21655126,0.21153153,0.20945437,0.21222049,0.22044156,0.23209836,0.24405181,0.25298646,0.257116,0.25628045,0.25197735,0.2465746,0.24202497,0.23937368,0.2388675,0.24097855,0.24587417,0.2526604,0.25898477,0.26244143,0.2620618,0.25871715,0.25444472,0.2510029,0.24903095,0.24732803,0.24432635,0.23900944,0.23219226,0.22481544,0.21777509,0.21139272,0.20686585,0.20587473,0.2095593,0.2177277,0.22858597,0.24081098,0.25273177,0.26340842,0.2703794,0.27304062,0.27138534,0.26831663,0.26525176,0.26359865,0.26273704,0.26272562,0.2631038,0.26360962,0.2639921,0.26384106,0.26351523,0.26277784,0.26215383,0.26134047,0.26061118,0.25965142,0.25848052,0.2572085,0.25601172,0.25539398,0.25522986,0.25576666,0.2566316,0.25782803,0.25877976,0.25903946,0.2583951,0.2568831,0.25513294,0.25317758,0.25150073,0.25004676,0.2494818,0.24995537,0.25148126,0.25365943,0.25578192,0.25764695,0.25846136,0.25820994,0.2563678,0.2538636,0.25147757,0.2505394,0.25129417,0.25340536,0.25602272,0.2578222,0.25747058,0.25360698,0.24693556,0.23992896,0.23612297,0.2369619,0.2412401,0.246219,0.24960016,0.2506276,0.24905713,0.24499285,0.23799382,0.22849442,0.2183309,0.21116608,0.21025282,0.21606809,0.2257526,0.23512436,0.2408778,0.24183452,0.23814082,0.23208106,0.22634162,0.22401619,0.22491123,0.22739124,0.2287973,0.22925252,0.23003758,0.23244865,0.23587112,0.23869835,0.23990716,0.23968798,0.23978697,0.242553,0.2498978,0.26088613,0.27173746,0.27807817,0.27915263,0.27757058,0.27640828,0.27587,0.27475497,0.27296972,0.27192104,0.2732119,0.27693835,0.28292516,0.28976297,0.2958082,0.29868984,0.2983004,0.29638228,0.29530331,0.29503277,0.29345477,0.2889984,0.28226864,0.2752584,0.26888478,0.26306036,0.25753286,0.25256953,0.2482989,0.24507104,0.24424498,0.2477477,0.25586534,0.26604867,0.27405792,0.27695093,0.2746029,0.26963615,0.26539895,0.26418638,0.2661334,0.26988137,0.27371243,0.2766033,0.278079,0.27823642,0.2769712,0.27398908,0.26825833,0.2593999,0.24814981,0.23707648,0.22877796,0.22496867,0.22537847,0.22849835,0.2326684,0.23702858,0.24207412,0.24837257,0.25616363,0.26420733,0.27092707,0.274912,0.27654174,0.2771676,0.27805343,0.2787381,0.27808595,0.2756529,0.27229956,0.26894414,0.26530752,0.2608245,0.25560725,0.2512634,0.24872631,0.24738182,0.2450133,0.24081324,0.2364288,0.23508853,0.23789817,0.24292554,0.24650629,0.24690092,0.24408281,0.2382495,0.22747223,0.20953274,0.18430817,0.15501921,0.12661253,0.10284043,0.08518235,0.072470985,0.06268079,0.053682636,0.04465875,0.035875913,0.028443202,0.023217045,0.020294897,0.018986689,0.018350877,0.01767639,0.016689736,0.0154968565,0.014487033,0.014082738,0.014515601,0.01568287,0.017241031,0.018839456,0.020156674,0.021064403,0.021597251,0.022123886,0.022942357,0.024172157,0.025510767,0.02678834,0.027858103,0.028840756,0.029579194,0.030134022,0.030510893,0.031016694,0.03160748,0.032089327,0.031969,0.031049741,0.029482087,0.027879452,0.026810199,0.026556632,0.026893765,0.027383735,0.02750667,0.026949368,0.02566185,0.024029873,0.022655478,0.022059513,0.022316305,0.023177868,0.024402909,0.025976522,0.027851893,0.029633584,0.030646026,0.030472895,0.029316358,0.027923547,0.027052363,0.027130803,0.02815298,0.029877732,0.031920083,0.03371873,0.034589607,0.034056056,0.032372274,0.030561818,0.029837122,0.030703375,0.03262629,0.034657348,0.036359694,0.0382618,0.040976692,0.044325788,0.047018364,0.047849223,0.04655224,0.044112712,0.04186,0.040841207,0.041299015,0.042859185,0.044697385,0.046047013,0.046318766,0.045385007,0.043489646,0.04145744,0.040156897,0.040170208,0.041124023,0.042325243,0.043266535,0.0444254,0.046520222,0.049830582,0.053605437,0.05677549,0.0586516,0.059135105,0.05835469,0.05663648,0.054738507,0.053956088,0.055246383,0.05848216,0.062040973,0.06371366,0.06203529,0.057314742,0.051637795,0.047377955,0.045928385,0.046987146,0.049595494,0.053253938,0.05839212,0.06537965,0.07311505,0.079125196,0.08116206,0.079241075,0.07543548,0.07245027,0.0721403,0.075841956,0.08456526,0.09852412,0.11596561,0.1335484,0.1479501,0.15762608,0.1627601,0.16433279,0.16357459,0.16293462,0.1670263,0.18047774,0.20414084,0.23189957,0.254558,0.26564744,0.26623812,0.2617146,0.25687572,0.25219148,0.24611504,0.23808044,0.23074019,0.22705846,0.2279009,0.22995938,0.22877581,0.22092223,0.20706399,0.19122602,0.18043236,0.18024926,0.1924634,0.21262868,0.23437984,0.25226367,0.26437807,0.2695205,0.26678267,0.2565872,0.24259527,0.22920936,0.21760802,0.20818476,0.20722024,0.23122187,0.29215094,0.38243875,0.46809825,0.51498896,0.5103692,0.4739082,0.43384036,0.40982366,0.40237737,0.40451893,0.4081055,0.4096509,0.40796125,0.40431193,0.4027859,0.4095211,0.43114665,0.46553195,0.501194,0.5181885,0.50589705,0.4673985,0.4210434,0.38370582,0.36524892,0.36455658,0.37646654,0.39397034,0.41171718,0.4258103,0.43452346,0.43839684,0.44203708,0.4539195,0.4789102,0.5104217,0.529135,0.5188598,0.4797304,0.43032554,0.39156166,0.37359282,0.37363458,0.3845681,0.40257517,0.42715356,0.4556639,0.48002633,0.48942146,0.4787123,0.45209613,0.42124453,0.39715418,0.3853551,0.38474914,0.39065897,0.39779985,0.4024949,0.40351152,0.40206537,0.4001753,0.3990647,0.39806673,0.39574257,0.3910202,0.3841277,0.37676215,0.37134305,0.3692553,0.36845812,0.3645552,0.35420975,0.33900097,0.32450125,0.31656268,0.31759486,0.32568893,0.33679602,0.3470776,0.3548181,0.35955283,0.3618697,0.36292538,0.3649248,0.36940232,0.3759079,0.3817532,0.3849322,0.38730502,0.3959216,0.41806582,0.45294797,0.48701105,0.5013003,0.48669198,0.4517342,0.4161731,0.39443755,0.38836157,0.3900317,0.3925912,0.39386287,0.39559796,0.39861715,0.4031067,0.410561,0.4264463,0.4550445,0.49188176,0.5204114,0.52234924,0.49265206,0.44443166,0.3990092,0.36996904,0.35788247,0.35455,0.35296097,0.3512942,0.35211805,0.3574284,0.366886,0.37993178,0.3997142,0.43001845,0.46817026,0.49956498,0.5065183,0.4817227,0.43645665,0.3917794,0.36417738,0.3572319,0.3649648,0.38035643,0.39898467,0.41890958,0.43616903,0.44590303,0.44281825,0.42681217,0.40204725,0.37654957,0.35618928,0.34344018,0.33723497,0.3365527,0.34073544,0.34855112,0.356094,0.35922635,0.35629806,0.350556,0.34648523,0.34667978,0.3502855,0.35645983,0.36685848,0.38362947,0.40567896,0.42572987,0.43608823,0.43315732,0.42168006,0.40849015,0.3985462,0.39164972,0.38671216,0.38378873,0.3843162,0.38800082,0.39202407,0.392482,0.38773835,0.3795788,0.3720384,0.36823606,0.36864996,0.37333426,0.38493586,0.40917814,0.44709232,0.48860502,0.514541,0.5108822,0.4806862,0.44126904,0.41056585,0.3950317,0.39085218,0.39103904,0.39167336,0.39246216,0.39371833,0.39515486,0.39663517,0.40219346,0.41937914,0.4519812,0.49141702,0.51770306,0.5138534,0.47989,0.43282506,0.39363584,0.37256157,0.36782166,0.36936352,0.36803666,0.35769525,0.3389753,0.31780696,0.30469334,0.31074178,0.3434205,0.3994803,0.4623995,0.5066697,0.5154515,0.49007308,0.45105895,0.41825595,0.40164992,0.3967391,0.3979394,0.40222904,0.41109732,0.42289305,0.4321514,0.43268266,0.42284763,0.40739727,0.3926537,0.38328803,0.37870097,0.3760614,0.3720868,0.36672917,0.362591,0.36275217,0.36855814,0.37790847,0.3876656,0.3940618,0.39617717,0.39487872,0.39336476,0.39349055,0.39464304,0.39335427,0.38586855,0.37187043,0.35499498,0.34237573,0.33931878,0.34727108,0.36167958,0.37600687,0.3854821,0.3896396,0.39106524,0.39139247,0.39114168,0.38939515,0.38666633,0.38335785,0.38016513,0.3767332,0.37411594,0.376354,0.39086187,0.4213543,0.4612917,0.49327317,0.5025488,0.48781487,0.46243367,0.44093636,0.42997238,0.4271647,0.42785808,0.42884478,0.42911372,0.4292524,0.4303403,0.43470708,0.4450543,0.46633378,0.49961662,0.5382729,0.56447977,0.56198114,0.5280281,0.47773042,0.43120822,0.39962462,0.3820294,0.3722061,0.36610448,0.36275253,0.3616159,0.3614124,0.36183035,0.36676744,0.38475332,0.4204855,0.46688542,0.5023825,0.5081487,0.4816924,0.44134983,0.40838766,0.39287904,0.39066598,0.39308056,0.39739296,0.4046019,0.41733477,0.43049455,0.43876252,0.43575215,0.42423746,0.40850237,0.39522195,0.38626504,0.38196334,0.3818213,0.3855566,0.39346102,0.40372005,0.41479054,0.42421708,0.431586,0.43666318,0.43946767,0.43920505,0.43529698,0.43009523,0.4282228,0.43405318,0.4456112,0.4552342,0.45581686,0.4483086,0.4408891,0.43942848,0.441745,0.44068623,0.43373486,0.4259499,0.42341518,0.42604384,0.42609346,0.41772977,0.4020679,0.3886726,0.38474455,0.3914143,0.40200996,0.4123138,0.4232651,0.4410781,0.46677673,0.4926188,0.50489205,0.4956075,0.46876368,0.43691733,0.41079023,0.39263892,0.3783855,0.3648348,0.3529714,0.34585378,0.34285435,0.34072328,0.33831093,0.34285972,0.36419022,0.4033625,0.4444586,0.46436265,0.45180187,0.4174118,0.3843635,0.36889818,0.37117016,0.38054284,0.38725686,0.38834253,0.38549855,0.38073263,0.37440756,0.3684348,0.3698232,0.38761052,0.42335758,0.46354282,0.48718658,0.48200288,0.45512235,0.4250627,0.40617564,0.4000918,0.4009218,0.40472296,0.41240308,0.4256244,0.4408994,0.45020482,0.44636986,0.4288186,0.40403235,0.38016912,0.36269423,0.35192707,0.34637308,0.3440572,0.34354106,0.34234938,0.3378469,0.32973248,0.32096538,0.31573287,0.31540617,0.317474,0.3184363,0.317253,0.31732056,0.32306603,0.33671322,0.35524043,0.37311193,0.38542473,0.39064482,0.38994858,0.38549063,0.37953135,0.37344432,0.36794302,0.36217728,0.3544682,0.34240827,0.3248429,0.30343294,0.28358713,0.2726523,0.27501217,0.28896162,0.30829513,0.3297582,0.3580378,0.39832637,0.44667697,0.4839282,0.49333587,0.47228983,0.43853998,0.41068795,0.39713624,0.39217877,0.38794658,0.38254377,0.38065124,0.38757733,0.40336028,0.42418858,0.44694057,0.4729036,0.5026538,0.53029066,0.54231805,0.5288749,0.4931836,0.45188633,0.42224932,0.41088626,0.41225418,0.4162258,0.41606793,0.41104648,0.40375254,0.39668313,0.3913369,0.39123058,0.4031992,0.43031678,0.464242,0.48413745,0.47455463,0.43800238,0.39642644,0.3707746,0.36829436,0.3808566,0.3976591,0.41370204,0.42935517,0.4449756,0.45514715,0.45367587,0.4378575,0.41439188,0.39250895,0.37918314,0.374495,0.37506175,0.37766936,0.3803506,0.3830273,0.38494098,0.38573647,0.38395968,0.3796431,0.37377834,0.36905703,0.36757484,0.37052062,0.37802717,0.38976303,0.40374792,0.415391,0.41930476,0.4138055,0.40298772,0.39363626,0.38927272,0.38891387,0.38989994,0.3918195,0.39529333,0.39922807,0.39941946,0.39147544,0.3743513,0.35151127,0.32893315,0.31188348,0.30285704,0.30222234,0.31100294,0.33391145,0.37514332,0.4310669,0.4839493,0.5122095,0.5042711,0.46892834,0.425173,0.38923565,0.36507356,0.34919575,0.33707914,0.32754067,0.3216653,0.32019854,0.32398912,0.3352646,0.35982943,0.40095392,0.45194474,0.4924101,0.49940562,0.4640697,0.39867696,0.32843384,0.27418622,0.24432297,0.2348512,0.23728277,0.24342887,0.2488695,0.25257656,0.25697443,0.26761624,0.29364574,0.34107804,0.40408757,0.46015072,0.4836568,0.46435967,0.41545454,0.36029127,0.31531882,0.28536704,0.27065775,0.27309132,0.29303113,0.32501712,0.35668996,0.37602735,0.37684187,0.36222473,0.33970428,0.31668004,0.29634264,0.2796873,0.26800022,0.2646918,0.27245224,0.28924283,0.3069043,0.31588295,0.31285098,0.30252728,0.29224917,0.2834668,0.27195406,0.2546756,0.2366081,0.2281795,0.23603594,0.2570982,0.28008655,0.29461625,0.29735684,0.2931544,0.2893924,0.29051447,0.29607382,0.30281055,0.30780834,0.30957416,0.30753645,0.30188927,0.29360688,0.28439486,0.27488053,0.26396796,0.2505773,0.23818235,0.23767793,0.26336798,0.32034302,0.3946365,0.45561895,0.4770471,0.45363784,0.40444908,0.3545039,0.32067212,0.3051942,0.30315444,0.30778328,0.31424943,0.31867886,0.3189145,0.31646493,0.31870666,0.3365859,0.3740281,0.42038798,0.4508438,0.44601175,0.40491867,0.349727,0.3057927,0.2879096,0.29120484,0.30185318,0.30672142,0.30254504,0.29384628,0.2884667,0.29258868,0.31063974,0.34479892,0.3905994,0.43353298,0.45279846,0.43646348,0.3904257,0.33568916,0.29134488,0.26447937,0.25153896,0.24930537,0.26019374,0.28701654,0.32372674,0.35415682,0.36233938,0.34511065,0.3138816,0.28520194,0.2692648,0.26723632,0.27592257,0.29351416,0.31906655,0.3489754,0.3735238,0.38208988,0.3695811,0.3428124,0.31528834,0.29978013,0.29984367,0.3112454,0.327868,0.34740028,0.37056848,0.3945017,0.41205406,0.415658,0.40571722,0.38838664,0.37078384,0.35551035,0.34407547,0.33996534,0.34818053,0.36945835,0.3964193,0.41652963,0.42058074,0.41023076,0.39602587,0.388638,0.38949466,0.39339435,0.3964968,0.4046085,0.4262514,0.46289626,0.50142413,0.52500606,0.52491903,0.5073488,0.483786,0.46203458,0.44312784,0.4266266,0.41416422,0.40831938,0.40951583,0.4152911,0.4228733,0.43350244,0.45297822,0.48588052,0.5260991,0.5550883,0.5544912,0.522206,0.47636127,0.44022238,0.42520747,0.42575964,0.42940328,0.42829803,0.42288926,0.41786727,0.4155374,0.41625217,0.42043146,0.43372253,0.458927,0.49084255,0.51106733,0.5045349,0.4701366,0.42586508,0.39185116,0.37855437,0.38289765,0.3963879,0.41276482,0.42773128,0.43815377,0.43801782,0.42442656,0.39871517,0.37065032,0.35065004,0.34568045,0.35373303,0.3680509,0.38124892,0.39000508,0.39410672,0.39496216,0.39401284,0.3931673,0.39470467,0.39955977,0.4071975,0.41461816,0.41944245,0.41971385,0.4164569,0.41216668,0.40956593,0.40952322,0.40957418,0.40747666,0.40153587,0.39406458,0.38739154,0.38455582,0.38567695,0.39039275,0.39680102,0.40353987,0.40868604,0.4110941,0.4103024,0.40688717,0.40139708,0.39402077,0.38552904,0.37949643,0.38332045,0.40530214,0.4455787,0.490348,0.5161052,0.5077536,0.46994615,0.42400643,0.38988802,0.37594184,0.3790553,0.3922545,0.40829912,0.42097524,0.42669234,0.42604923,0.42492357,0.43246606,0.4563857,0.49488187,0.5320527,0.5454859,0.52279663,0.47322658,0.4206215,0.38501635,0.37072635,0.3693945,0.37169993,0.37339917,0.3743956,0.37442604,0.37318373,0.3732818,0.38283324,0.4099835,0.45408082,0.49903372,0.52265793,0.5122761,0.47647253,0.43706128,0.41264632,0.40693203,0.4123317,0.42043865,0.42887112,0.4387447,0.449047,0.4539067,0.44760278,0.4305006,0.41019985,0.39543453,0.38914475,0.38811544,0.3873159,0.3848807,0.38145885,0.37778977,0.37247947,0.36412153,0.3532431,0.34321257,0.33630785,0.33143815,0.32561004,0.31982374,0.32216367,0.3402872,0.3736851,0.40873945,0.43113568,0.43318984,0.4201748,0.4007609,0.38325134,0.37047878,0.36160794,0.3530335,0.34148702,0.32723024,0.31291807,0.30143765,0.29290953,0.28665033,0.28202048,0.27892283,0.2765455,0.2766036,0.28575543,0.3161367,0.37279633,0.44495377,0.5033513,0.5220803,0.49551937,0.44439986,0.39600256,0.3666648,0.35595477,0.35552397,0.35875094,0.36308298,0.3687196,0.37572333,0.38523874,0.4001793,0.42606094,0.4635005,0.5033274,0.52597433,0.5177291,0.48167253,0.43842545,0.40802777,0.39745295,0.39950466,0.40341362,0.40275767,0.39685413,0.38835236,0.38078657,0.3786974,0.38716492,0.41120383,0.448874,0.4884796,0.5095654,0.4987496,0.45906922,0.41055954,0.37383655,0.35823956,0.36052302,0.37298366,0.39190122,0.4154834,0.44131276,0.4608489,0.46629182,0.45405984,0.43011343,0.40350345,0.38202807,0.36814418,0.3607806,0.35773468,0.35706052,0.3577496,0.359279,0.3614926,0.36386585,0.36541066,0.36518666,0.36341786,0.36134025,0.3599895,0.35895517,0.35725498,0.3549663,0.3531424,0.35217288,0.35061494,0.3470129,0.3418332,0.33736232,0.33553937,0.33642688,0.33925033,0.34318444,0.34686962,0.3470981,0.33971798,0.32361403,0.3021374,0.2820712,0.26789653,0.26073012,0.25948015,0.26718596,0.29217908,0.34248194,0.41293266,0.48047838,0.51539636,0.5035942,0.455953,0.39848623,0.3515199,0.32163253,0.30610907,0.30253604,0.31063724,0.32832864,0.3490354,0.36459032,0.37357333,0.3847274,0.4096464,0.44815698,0.48160934,0.486474,0.4546995,0.40275526,0.35613808,0.33009756,0.32172117,0.31994563,0.3164258,0.3103318,0.30522883,0.30529773,0.3117143,0.32148007,0.32910845,0.33049238,0.32606673,0.3197299,0.31576398,0.315946,0.32011735,0.32748246,0.3372797,0.34848055,0.36078465,0.37667057,0.39869973,0.42482498,0.44347334,0.44177523,0.41450146,0.37213588,0.33188832,0.30842534,0.3050708,0.3176032,0.33929205,0.36583993,0.3936226,0.4174981,0.43083382,0.43051454,0.41953847,0.40473673,0.39058134,0.37661338,0.36132732,0.3471659,0.3430057,0.35648093,0.38708976,0.4220971,0.4474784,0.45752135,0.4588169,0.45940354,0.4601396,0.45494664,0.44074008,0.42473808,0.41844192,0.4272283,0.44173762,0.44828424,0.43990767,0.425495,0.41812214,0.42379996,0.43410596,0.4356189,0.4208304,0.39441308,0.3678508,0.35083118,0.34514138,0.34614393,0.34759736,0.3461469,0.34200644,0.33673117,0.33146963,0.3263121,0.32157186,0.31759048,0.3143474,0.31086722,0.30615583,0.30009386,0.29367706,0.28816018,0.284626,0.2835631,0.2855201,0.2907274,0.29910913,0.30884817,0.3164773,0.31718,0.30739963,0.28693846,0.26009873,0.23369561,0.21317913,0.20078777,0.19594015,0.19855897,0.20782302,0.22084522,0.23030286,0.22984773,0.21840473,0.20245475,0.18979365,0.18419994,0.18352465,0.18400085,0.18413605,0.18591906,0.19184597,0.20222771,0.21416141,0.22410189,0.22996593,0.23212169,0.23193519,0.2307847,0.22957362,0.22868276,0.22801931,0.22706418,0.2257408,0.22442643,0.22393309,0.2244048,0.22552596,0.22656243,0.22749239,0.22872682,0.23086385,0.23370443,0.23631312,0.23778439,0.23772375,0.23658139,0.23466891,0.23227118,0.22921348,0.2255544,0.22136891,0.21682172,0.21169688,0.20540063,0.19745268,0.18812172,0.17862068,0.17050226,0.16483723,0.16211337,0.16237156,0.16651851,0.17605914,0.19329667,0.21853448,0.24929738,0.27945253,0.3025806,0.31521925,0.3187957,0.31799778,0.31666598,0.31607515,0.31506264,0.3126186,0.3082744,0.30180326,0.29282463,0.2815642,0.26975653,0.25956824,0.25237995,0.24792308,0.24557202,0.24503487,0.24619496,0.24825795,0.25003383,0.25101516,0.25153065,0.25191882,0.25170505,0.2503136,0.24765289,0.24433702,0.24092703,0.23836394,0.23765932,0.23946111,0.24255885,0.24444301,0.24287073,0.23747648,0.22965081,0.22082865,0.21173728,0.20196424,0.19142441,0.1802253,0.16919525,0.15906103,0.15098621,0.14594936,0.14421073,0.14484762,0.1464235,0.14837274,0.15061624,0.1531552,0.15497099,0.1554378,0.15445082,0.15293317,0.15129583,0.1494251,0.14680316,0.14365728,0.14097741,0.13979195,0.14031255,0.14187919,0.14377713,0.14558557,0.147265,0.14876063,0.15050328,0.15324609,0.1579022,0.16408388,0.17023338,0.17421651,0.17536694,0.17442258,0.17273815,0.17073883,0.16834064,0.16581742,0.16440165,0.16560477,0.17070429,0.1798202,0.19175844,0.20378733,0.21444045,0.22502606,0.23964357,0.26004747,0.2833387,0.30252588,0.3128426,0.31410858,0.31094584,0.30751434,0.30559823,0.30378082,0.3006518,0.29643485,0.2927588,0.29092094,0.2902831,0.28949425,0.28714046,0.28286746,0.27657488,0.26901564,0.26182762,0.25742686,0.25730893,0.26091668,0.26579022,0.26927963,0.26957867,0.26631618,0.2602149,0.25314596,0.24735622,0.24434392,0.24500424,0.24947655,0.25825903,0.26990867,0.28205404,0.29137456,0.29679123,0.2986051,0.29770634,0.29442394,0.288794,0.28175828,0.27427185,0.26742077,0.26112214,0.25510967,0.24892999,0.24294436,0.23808052,0.2352454,0.23450978,0.23471121,0.23425281,0.23195677,0.22786576,0.22314106,0.21938492,0.21785666,0.21845026,0.21977137,0.21911515,0.21417922,0.20376337,0.18976872,0.17625861,0.16878237,0.17026807,0.17991672,0.19266766,0.20330216,0.20873873,0.20945954,0.2074186,0.20448297,0.20133388,0.19809826,0.19462067,0.19117469,0.18792607,0.1852939,0.18326183,0.18194556,0.18116605,0.1806401,0.17983507,0.17876804,0.17904775,0.18402882,0.19668947,0.21702637,0.24042332,0.26030898,0.2714081,0.27288756,0.2674644,0.25943652,0.2520974,0.24684364,0.24335581,0.24085677,0.23905921,0.23852073,0.23976581,0.24272649,0.24653216,0.25017917,0.25285947,0.25422037,0.25389937,0.25162217,0.247178,0.24139662,0.23578884,0.23207392,0.23063338,0.23085101,0.23150901,0.23210609,0.23252766,0.23299228,0.23324601,0.23264755,0.23028816,0.22568303,0.21932673,0.21257816,0.20690882,0.20284756,0.19982462,0.19686931,0.19357501,0.19036229,0.18784256,0.18649568,0.18631823,0.18736707,0.18928386,0.19178069,0.19423272,0.1965998,0.19906197,0.20270109,0.20875974,0.21904737,0.23440516,0.25465772,0.2772301,0.29862693,0.3147706,0.32323155,0.323572,0.31795844,0.30980825,0.3020045,0.29588532,0.2914308,0.28882137,0.28834492,0.28990164,0.29192343,0.29231015,0.28978285,0.28498587,0.27983773,0.27562788,0.2718244,0.26618034,0.25702488,0.24449396,0.23080234,0.21812,0.20785654,0.20057361,0.19773288,0.20093383,0.21071117,0.22470714,0.23984289,0.25443715,0.26900673,0.28325513,0.294827,0.30067328,0.30046713,0.29654682,0.2922114,0.28899503,0.28706574,0.2855651,0.28419206,0.28290054,0.2820983,0.28129467,0.27978018,0.27688444,0.27351245,0.27101913,0.2705282,0.27181396,0.27397546,0.27619922,0.27790722,0.2789553,0.2790801,0.27851152,0.27751347,0.27643216,0.27516976,0.2733064,0.2707161,0.26748434,0.2643244,0.26171434,0.26034212,0.2602805,0.2613955,0.26295614,0.26423028,0.26464275,0.2637327,0.26146832,0.25797173,0.25438455,0.25181952,0.25144148,0.25314835,0.25646427,0.26048627,0.26405558,0.26511988,0.26085785,0.2499486,0.23433827,0.21979277,0.2121505,0.21365999,0.22117019,0.22899027,0.23289335,0.23223478,0.22877641,0.22381812,0.21681792,0.20683372,0.19520152,0.18687408,0.18692462,0.19696216,0.21260677,0.2275062,0.23626739,0.237352,0.23103885,0.21968298,0.20718448,0.19944151,0.20105343,0.21226102,0.22820441,0.24230127,0.25064507,0.25333634,0.25312158,0.25259572,0.2530943,0.2546976,0.25738096,0.26181749,0.26921007,0.27927288,0.2893313,0.29532242,0.29584488,0.29255074,0.2885048,0.28448474,0.2800912,0.2753265,0.2717358,0.27060238,0.27206048,0.27544877,0.27982974,0.28410122,0.28681943,0.28744856,0.2866902,0.286196,0.28644255,0.28619972,0.28316343,0.27622166,0.26620045,0.2552067,0.24512118,0.23686148,0.23055167,0.22544785,0.22042917,0.21466517,0.20903303,0.20573999,0.20654489,0.21062095,0.21460073,0.21511458,0.21135879,0.20598422,0.20299703,0.20490552,0.21075791,0.21692903,0.21977215,0.21793045,0.21260287,0.2059815,0.19980417,0.19471206,0.19000773,0.18361603,0.17302008,0.15802002,0.1418636,0.12985499,0.124640755,0.12536907,0.1300127,0.13886704,0.153491,0.17253514,0.19132173,0.20433779,0.21006978,0.20983194,0.20571078,0.19802207,0.1873319,0.17611755,0.16885716,0.16903408,0.17704491,0.19016604,0.20470972,0.21743809,0.2262963,0.23016824,0.22906375,0.22361779,0.21508868,0.20488434,0.19482385,0.18653359,0.18113442,0.1786198,0.17796099,0.17763041,0.17644101,0.17425053,0.17148805,0.16821826,0.16342948,0.15593232,0.1456763,0.13413669,0.12325632,0.11395139,0.10581983,0.09758011,0.08822846,0.07743808,0.06584784,0.054465637,0.044320185,0.036007423,0.029772721,0.025465397,0.022666097,0.020748656,0.019219527,0.017893208,0.01696147,0.016656788,0.016922543,0.017302282,0.01720429,0.01639242,0.015152653,0.014133155,0.013796448,0.014098417,0.014541096,0.014603901,0.014130528,0.0133311795,0.012555453,0.011997477,0.011700445,0.011613888,0.011721659,0.01198528,0.012309042,0.012555475,0.012599893,0.012419482,0.012006894,0.011382196,0.0105416225,0.009591968,0.008713187,0.0081038615,0.0077954703,0.007655699,0.007472621,0.0071153813,0.0065672086,0.0059005003,0.005221235,0.0046356525,0.004203873,0.00390812,0.0036634393,0.003416409,0.003222353,0.0032503344,0.0036570467,0.0044784066,0.005576054,0.006727819,0.0077061704,0.008383687,0.008722334,0.0087834345,0.008665823,0.008484977,0.008331503,0.0082615875]