[0.34119004,0.34356728,0.3349479,0.3011452,0.24321301,0.18322651,0.14001034,0.12532239,0.14022546,0.18185957,0.23452003,0.27292123,0.27277467,0.23187648,0.17113294,0.121469624,0.10171505,0.111587025,0.13627876,0.15886535,0.17089738,0.17649342,0.18812816,0.21506672,0.25561133,0.2984961,0.33187065,0.35013685,0.35476252,0.35142538,0.3471971,0.3470198,0.35207558,0.36026812,0.37027025,0.38364103,0.40017545,0.4166808,0.42619714,0.42772588,0.42274877,0.41630697,0.41111493,0.4158728,0.4361165,0.46870044,0.49113062,0.4836994,0.44460317,0.39655793,0.36173105,0.34717095,0.34570494,0.34964404,0.35341057,0.35142645,0.33741558,0.31374732,0.28719017,0.26475325,0.24373238,0.2215042,0.19850202,0.18050961,0.16876793,0.15910326,0.145991,0.12913145,0.11270497,0.100294255,0.09173986,0.084800035,0.07801668,0.07178164,0.067014396,0.06415147,0.06302462,0.063079916,0.0638468,0.0644721,0.06434277,0.062866226,0.06048524,0.058044683,0.056856435,0.05762288,0.060481112,0.06453816,0.06835549,0.07026845,0.06963113,0.067199916,0.06540316,0.06692743,0.073581524,0.08439312,0.09585597,0.10299923,0.102878846,0.095837325,0.08562058,0.075926475,0.06904144,0.064668655,0.061961237,0.059810698,0.057997752,0.05628589,0.054863524,0.053664505,0.052941993,0.052672144,0.052955847,0.053543944,0.0545917,0.056073412,0.05815615,0.06017824,0.061732095,0.062262684,0.06227143,0.06354362,0.070160344,0.087939866,0.11829104,0.15515575,0.18295962,0.18998967,0.17421655,0.14852421,0.12650475,0.115714364,0.112316854,0.11006769,0.105407596,0.100120306,0.09691373,0.09681315,0.09805515,0.09824114,0.09528942,0.089043416,0.08081698,0.072713226,0.06590939,0.060175274,0.054999154,0.0503049,0.046792816,0.04487783,0.044856045,0.047374096,0.053996682,0.066759795,0.08556419,0.10690373,0.123610385,0.12999994,0.12531921,0.11639946,0.11309925,0.12274295,0.14390431,0.16754001,0.1826844,0.18422413,0.17359166,0.15753345,0.14336856,0.13886593,0.14470345,0.15647356,0.16488166,0.16976905,0.17340596,0.17972888,0.18429823,0.18967687,0.20400839,0.2351851,0.2723048,0.2919341,0.28036356,0.24807614,0.21909247,0.2076578,0.21124937,0.2244605,0.24991715,0.29678223,0.36165753,0.42465615,0.45781597,0.45106697,0.42150137,0.3988255,0.39907756,0.4093641,0.40922892,0.38866925,0.3602264,0.3381094,0.32814154,0.3252105,0.32231498,0.31804255,0.31311226,0.31431043,0.32406962,0.34133485,0.35192546,0.34561634,0.32225093,0.3003347,0.2964271,0.31202468,0.32894444,0.3268882,0.3043141,0.28083324,0.2845509,0.32213134,0.3738822,0.40341523,0.39341286,0.35515007,0.3199443,0.30554673,0.30483672,0.29478264,0.26373845,0.22163837,0.19142765,0.1855325,0.19731478,0.20622016,0.19903629,0.17710708,0.15487492,0.14396217,0.14589866,0.15234722,0.15449227,0.15233232,0.15445362,0.16963373,0.19521117,0.2172931,0.22253555,0.20870292,0.1843307,0.15824187,0.13535728,0.117426254,0.106625594,0.10296095,0.103527404,0.103711724,0.10160375,0.098071836,0.095104225,0.09288502,0.09016681,0.08553585,0.07900657,0.071898006,0.06561085,0.061016504,0.058153022,0.05693154,0.056689475,0.056725275,0.056246314,0.055284083,0.054118276,0.05318662,0.05250502,0.05217472,0.052283075,0.053090904,0.054524247,0.05636929,0.05801334,0.05896406,0.058669943,0.05710973,0.05452223,0.051683683,0.049228374,0.04768603,0.04717729,0.047763515,0.04923811,0.051131863,0.052740227,0.053592157,0.053714085,0.05347811,0.053156063,0.05297893,0.053408965,0.055413872,0.05942601,0.06465573,0.068831,0.070159316,0.06858278,0.06633442,0.065820426,0.067960225,0.071085684,0.072766185,0.07145577,0.06817454,0.06498349,0.063922636,0.06502387,0.067269,0.06867341,0.06812366,0.06519602,0.060958635,0.056619186,0.053322285,0.05105148,0.04949044,0.04817389,0.047273517,0.04705776,0.0479503,0.050241392,0.054826003,0.06272554,0.07497788,0.09024548,0.10544368,0.11560253,0.118294396,0.11354747,0.105261974,0.098173946,0.09887562,0.11286914,0.14187808,0.177507,0.20580946,0.21538286,0.20986106,0.19992614,0.19425653,0.1878221,0.17487346,0.155787,0.14167185,0.1385672,0.14344202,0.14686742,0.14762051,0.15301864,0.16868734,0.18738572,0.19258957,0.1792544,0.16379444,0.17984873,0.24450569,0.3414501,0.42058983,0.4400537,0.39351663,0.3162811,0.25060543,0.21670954,0.20542528,0.19498509,0.17267533,0.14099795,0.11495238,0.10991791,0.13360322,0.17825596,0.22205901,0.24055934,0.22517563,0.19049579,0.16371739,0.16059053,0.17737603,0.19659644,0.20806396,0.21100545,0.21242173,0.21442115,0.21620798,0.21324356,0.20258687,0.18325292,0.16034424,0.14419392,0.14741947,0.17552428,0.22165668,0.26803294,0.299602,0.31460166,0.3215373,0.32689676,0.3268474,0.31664613,0.2973019,0.27764866,0.26542768,0.26465964,0.27500346,0.2889624,0.29325023,0.27504832,0.23842184,0.20486581,0.19980122,0.22784846,0.26833895,0.2909664,0.28126737,0.2499339,0.22439353,0.2322013,0.28425837,0.36574987,0.43772468,0.4621289,0.42596164,0.3518288,0.27492887,0.2226985,0.20032269,0.20171092,0.2152888,0.23464817,0.25239184,0.26229003,0.26058498,0.26099575,0.28955135,0.36221936,0.4575671,0.5225734,0.51337034,0.4294444,0.31816158,0.23780228,0.2252016,0.26969552,0.32813963,0.34896007,0.31471196,0.24441497,0.18047619,0.15208174,0.16719943,0.21060438,0.2566217,0.27786317,0.2620112,0.2177332,0.16794582,0.13217884,0.11852765,0.1261806,0.14850034,0.1747673,0.19016574,0.18632764,0.16411044,0.13461012,0.107619405,0.08853815,0.077682376,0.07881955,0.10248128,0.15977754,0.24526666,0.32922688,0.37182596,0.35397592,0.2898403,0.21364702,0.15134253,0.11047435,0.085683845,0.07085049,0.062334057,0.058430657,0.057528093,0.05850179,0.06033172,0.06268326,0.06496202,0.06723502,0.06978792,0.074980825,0.08552611,0.10286694,0.123704016,0.14120193,0.14859259,0.14356424,0.12925164,0.11226875,0.09881878,0.092388235,0.091549665,0.09332281,0.094366424,0.09520476,0.0964277,0.09864607,0.09900332,0.09528738,0.08654881,0.07561466,0.06569334,0.059144128,0.055550355,0.05384378,0.052838776,0.052329343,0.051937494,0.051593747,0.051073894,0.05072223,0.05059899,0.05085219,0.051121686,0.05134161,0.051532533,0.05235845,0.054372177,0.05789767,0.06257191,0.068277076,0.07551828,0.0856063,0.09990557,0.11845988,0.13996662,0.16000684,0.17357697,0.1752309,0.16477586,0.14548515,0.12480154,0.10931322,0.10676608,0.12321619,0.16127615,0.21145658,0.25490427,0.270076,0.25074238,0.20827828,0.1677102,0.14704531,0.14892589,0.15893382,0.16166127,0.15067565,0.13267201,0.11747775,0.11079842,0.1102025,0.11027175,0.10689034,0.101103544,0.09767029,0.1022215,0.11679777,0.1369083,0.15253922,0.15362683,0.13787882,0.1128085,0.09129735,0.08423344,0.0960387,0.124088325,0.15758444,0.18241651,0.18740124,0.17501692,0.15855809,0.15507315,0.17125846,0.20348836,0.24009894,0.2729585,0.29528713,0.3038219,0.29175064,0.25934735,0.21422738,0.17486914,0.15546757,0.15906425,0.17495434,0.18876223,0.19161119,0.18337108,0.17015207,0.15939516,0.15682806,0.1631086,0.17219223,0.17343165,0.15959306,0.13276818,0.10282003,0.07913965,0.0652202,0.059807,0.06042406,0.064541444,0.068788856,0.069617756,0.066004336,0.05998837,0.054863725,0.051952615,0.050462756,0.049217563,0.047975224,0.047232345,0.046797555,0.046279784,0.045234207,0.044121776,0.043286096,0.043115985,0.04332232,0.043736022,0.04394789,0.04410189,0.04418081,0.044342235,0.044146862,0.04348327,0.042245608,0.04085469,0.039402734,0.038078997,0.036860954,0.035974115,0.035430413,0.035346016,0.035540324,0.035917696,0.036074158,0.036035094,0.035894472,0.036113385,0.036623124,0.0372029,0.03737549,0.03718332,0.036941152,0.037298575,0.038451344,0.0401372,0.0414388,0.041859243,0.041711926,0.04317831,0.04991133,0.06661432,0.096085645,0.13674949,0.18144536,0.22020642,0.2445964,0.25074977,0.24038804,0.21888115,0.1932239,0.1691842,0.15044244,0.1385554,0.13318603,0.1329061,0.13585927,0.14135815,0.14925896,0.15821594,0.16472377,0.16433485,0.15511554,0.13888912,0.12058919,0.10529604,0.09578717,0.092207484,0.09264723,0.0954178,0.09892195,0.102491595,0.10512101,0.106480114,0.1063463,0.106266975,0.11015544,0.12484985,0.15633291,0.20413692,0.25833437,0.3035463,0.3281769,0.33034456,0.31748357,0.29966065,0.28421417,0.2733623,0.26589075,0.26026323,0.25598863,0.2537848,0.25301704,0.25235173,0.25020477,0.24711595,0.24414624,0.24170703,0.23822236,0.23212074,0.22301906,0.21242748,0.20151554,0.19114383,0.1813017,0.17277254,0.16531867,0.15814388,0.15030439,0.14324905,0.13934748,0.13870643,0.13709296,0.12936045,0.11447588,0.097389005,0.08517002,0.08197806,0.08670304,0.09491428,0.10211583,0.105974406,0.10636869,0.10432392,0.10102677,0.09737707,0.0939657,0.09093549,0.08810372,0.08517768,0.08229344,0.0804323,0.081980936,0.09071967,0.1103712,0.14158703,0.17944677,0.21403722,0.2340392,0.23191325,0.20734632,0.16828449,0.12716518,0.095461585,0.07887557,0.07736311,0.087661564,0.10567423,0.12657815,0.14480275,0.15450227,0.15210144,0.13759503,0.115653016,0.092877924,0.07511565,0.06445669,0.059814584,0.05866484,0.058959644,0.059642192,0.06022415,0.06054607,0.0604405,0.059841607,0.05871049,0.057329256,0.056077436,0.055258885,0.054720283,0.054188814,0.05347398,0.05279414,0.052420925,0.05258228,0.05313814,0.053827077,0.054326773,0.05464478,0.054907277,0.055243913,0.055460196,0.05538009,0.055009972,0.05563287,0.06268457,0.088224806,0.14873402,0.25145304,0.38328448,0.50976616,0.59765106,0.63385504,0.6322007,0.61585873,0.6007412,0.58870786,0.5746185,0.5550549,0.53171676,0.50850374,0.48816767,0.46992803,0.45270416,0.43590522,0.42141223,0.40987062,0.40081072,0.39205524,0.38262686,0.37281343,0.36330143,0.35434547,0.34514192,0.33595088,0.32728,0.32142898,0.31956187,0.32209265,0.326026,0.32789657,0.32535404,0.32022715,0.31653443,0.31792042,0.3253154,0.33718106,0.35093507,0.36391616,0.3739924,0.37910247,0.37693134,0.36535922,0.34403887,0.31615734,0.28767693,0.2648568,0.2508685,0.24477653,0.2426546,0.2404787,0.23621903,0.23009633,0.22273314,0.2138981,0.2025742,0.18861647,0.17316209,0.15831722,0.1461278,0.13845496,0.1365507,0.14030975,0.14701949,0.15183593,0.15000038,0.14045183,0.12645358,0.11356003,0.10519274,0.10145431,0.1001906,0.09975251,0.09931416,0.09827727,0.0958393,0.09188966,0.08735501,0.08346232,0.080467634,0.07778176,0.07463201,0.07110727,0.067819096,0.06560841,0.06462484,0.06444336,0.06418779,0.06342575,0.062170744,0.06117524,0.06211907,0.06858646,0.08528138,0.11483067,0.15405218,0.19301915,0.21936792,0.22385794,0.20507103,0.16955645,0.12873964,0.09355215,0.0719522,0.07026846,0.095885195,0.15100606,0.2246873,0.2894219,0.3181438,0.30085897,0.25231093,0.19707821,0.15484738,0.13183554,0.124239065,0.123532295,0.12247527,0.11893082,0.11596993,0.11693726,0.1214152,0.12526204,0.12601162,0.12538595,0.12720819,0.13298647,0.13954408,0.14346494,0.14264481,0.13925333,0.13436742,0.12960523,0.12416488,0.11957952,0.116055585,0.115293376,0.11644433,0.11956156,0.122431405,0.12376953,0.121883,0.11786795,0.11363393,0.11157427,0.1122409,0.11489099,0.117469005,0.11796081,0.115396224,0.11133141,0.108595215,0.10918045,0.112027735,0.114397965,0.11452604,0.11283002,0.11165929,0.11225596,0.11488095,0.11700412,0.116498284,0.11183479,0.105525635,0.10084369,0.100791015,0.103925906,0.10789793,0.109928004,0.11038935,0.10948261,0.107988626,0.10543594,0.10246259,0.099441476,0.09763666,0.09778512,0.100974135,0.10590749,0.10996589,0.10993134,0.10646024,0.103252195,0.10545492,0.116117306,0.1362959,0.16502744,0.19864084,0.23032127,0.25113386,0.2542145,0.23780634,0.207476,0.1733283,0.14554048,0.12840001,0.12073272,0.11856795,0.12120148,0.12930937,0.14418994,0.16270585,0.18165119,0.1981525,0.21437432,0.2313155,0.24720238,0.25406435,0.24587882,0.22291796,0.19391154,0.16934001,0.1559494,0.15405725,0.15862387,0.1627927,0.1617223,0.1561987,0.15107001,0.15117551,0.15664172,0.16385984,0.1689064,0.17085217,0.17052221,0.16860081,0.16477145,0.16045141,0.15837413,0.16176318,0.16945575,0.17818667,0.18325283,0.18423147,0.18223824,0.18029237,0.17870803,0.17757814,0.17586416,0.17415603,0.1721961,0.16975874,0.16557097,0.16012938,0.15496717,0.15233164,0.152447,0.15409315,0.15562199,0.15652022,0.1571672,0.15781975,0.15816946,0.15698297,0.15311126,0.14626475,0.13800411,0.13075304,0.12668851,0.1265061,0.12992074,0.13497122,0.13891415,0.13856952,0.13365906,0.12656659,0.12210608,0.12442422,0.13695972,0.16019608,0.19056338,0.21954502,0.23846473,0.24340248,0.23764206,0.22789256,0.22031264,0.21810932,0.22200273,0.23076467,0.24148715,0.2509749,0.25579414,0.25336567,0.24123687,0.21996517,0.19344847,0.1684683,0.14952736,0.13768141,0.13097869,0.12908766,0.13162081,0.13829829,0.14535986,0.15027261,0.15069972,0.14767896,0.1434863,0.14486498,0.1622925,0.20114048,0.25512388,0.30060843,0.3173115,0.29690275,0.25489137,0.21042068,0.17856099,0.15907969,0.14647387,0.13560326,0.12731615,0.12535706,0.13072719,0.13908301,0.14191608,0.13440855,0.118460625,0.102485664,0.09303469,0.09175468,0.09465691,0.0977057,0.098712325,0.09886289,0.09941993,0.101002336,0.101792194,0.101369,0.10049066,0.10240855,0.108650155,0.120519795,0.13879694,0.16554677,0.20022614,0.23770557,0.26855078,0.28409454,0.28121832,0.26366696,0.23985212,0.21795486,0.20258619,0.19350696,0.18813802,0.18441789,0.1823617,0.18310072,0.18683021,0.1923461,0.19729362,0.19989051,0.19825761,0.19169974,0.17995341,0.16594625,0.15340997,0.14683722,0.1465049,0.15043364,0.1543852,0.1573468,0.1598324,0.16377802,0.16821307,0.17136689,0.1710075,0.16713397,0.16028611,0.1518355,0.14286391,0.13502152,0.12913544,0.125523,0.12322763,0.12206153,0.12194521,0.123374365,0.12510186,0.1251787,0.12228841,0.11805459,0.116342224,0.12076298,0.13393895,0.15747744,0.19005509,0.2237817,0.24494505,0.24346717,0.2207586,0.18874295,0.15950744,0.1379225,0.12238876,0.10978502,0.09978506,0.094330855,0.095733516,0.10315568,0.11285121,0.11974243,0.12170618,0.1197129,0.11764241,0.11789047,0.121003866,0.12399405,0.12438997,0.12047062,0.11413333,0.108122386,0.1062732,0.109797366,0.116924845,0.12248558,0.12196962,0.1150369,0.10561933,0.0988121,0.09705314,0.100322254,0.10736215,0.117735445,0.13152891,0.1492794,0.17045213,0.1925652,0.21000247,0.21571384,0.20494819,0.1799872,0.1501452,0.12651289,0.11432505,0.1113987,0.11202651,0.11329017,0.11573123,0.120819665,0.12737751,0.13191289,0.13137281,0.1259271,0.11915648,0.1144514,0.11245695,0.11026468,0.106310256,0.101365305,0.09899562,0.09947824,0.10096235,0.099891,0.09671849,0.09307485,0.09100445,0.08919099,0.08674622,0.08352887,0.081657924,0.082140304,0.084796935,0.08791718,0.08982623,0.08932225,0.08675919,0.08507756,0.09021571,0.108990826,0.14346303,0.18594609,0.21952818,0.22910233,0.21177857,0.17952283,0.1477828,0.12535737,0.11136848,0.10164694,0.09415988,0.0896278,0.089476295,0.09326911,0.09932262,0.10450382,0.10598665,0.10187605,0.09331875,0.08389604,0.07731801,0.07465267,0.07411455,0.07382872,0.07332165,0.07358086,0.0751163,0.07816491,0.08239167,0.087311804,0.09105321,0.091679454,0.088194706,0.08260054,0.07863157,0.08033146,0.0892542,0.10374797,0.11934801,0.13109209,0.13635813,0.13592917,0.13370721,0.13347782,0.13772821,0.1463756,0.1588788,0.17404036,0.19134255,0.20972045,0.2290615,0.24732642,0.261307,0.26503715,0.2567652,0.23951773,0.22176208,0.20866294,0.200392,0.19258805,0.18246521,0.17046647,0.15958227,0.15259594,0.15046315,0.15211307,0.15502201,0.15654172,0.15454568,0.1483887,0.13903351,0.12930994,0.12244315,0.120556355,0.123312615,0.12862025,0.1351489,0.14429456,0.1606878,0.1856401,0.21353193,0.23013085,0.22524805,0.19886445,0.16404086,0.13410912,0.116610266,0.10972787,0.10853604,0.108104534,0.106556,0.1040859,0.10206285,0.1012037,0.10114244,0.10135889,0.10189325,0.10421715,0.10921791,0.1166661,0.12381676,0.12818025,0.12890951,0.12849605,0.1303701,0.13659061,0.14599492,0.15515262,0.16063808,0.16087507,0.15715294,0.15212859,0.14845215,0.14636366,0.14468865,0.14166288,0.13731305,0.13274738,0.1294576,0.12791617,0.12737001,0.12628892,0.1228232,0.11633656,0.107682616,0.09920571,0.092968166,0.09019035,0.09094586,0.09430569,0.09803337,0.09915825,0.09593683,0.08939278,0.08294926,0.07977312,0.08059772,0.08349226,0.085643806,0.085814476,0.08507395,0.08628589,0.09113226,0.0991641,0.10736182,0.113362126,0.11613453,0.11715298,0.11801764,0.120489,0.12529169,0.13433033,0.15051371,0.17674108,0.20938678,0.23732735,0.2465591,0.23319037,0.20528543,0.1778105,0.1593156,0.15122354,0.1488232,0.1484672,0.14673482,0.14348632,0.13949485,0.13736738,0.13741142,0.13862266,0.13824894,0.13542862,0.13083446,0.12673125,0.12384635,0.12126854,0.11736441,0.11244167,0.1087744,0.10832983,0.110806525,0.11378878,0.11548873,0.11572083,0.11561201,0.11565841,0.11567393,0.115380704,0.11562187,0.118055694,0.12426174,0.13376743,0.14410233,0.15193321,0.15668286,0.16106524,0.16951968,0.18383078,0.20159014,0.21732992,0.22571294,0.22401346,0.21288083,0.19563752,0.1763614,0.15842123,0.14404225,0.13471118,0.13121712,0.1332936,0.13950662,0.14799671,0.15672314,0.16394803,0.16751856,0.16599558,0.15873986,0.14731018,0.13399296,0.12141279,0.11106711,0.10436639,0.10182196,0.10321024,0.10612587,0.10946646,0.11485344,0.12953675,0.15762396,0.19603951,0.22915316,0.24251021,0.23010878,0.20168632,0.17124976,0.14956488,0.13861091,0.13536334,0.13628739,0.13815404,0.13929491,0.1378989,0.1346551,0.13101909,0.1296395,0.1315005,0.13635294,0.14280601,0.14953281,0.15559871,0.16006695,0.16213095,0.16141494,0.15855926,0.15520652,0.15267886,0.15150027,0.15048902,0.1485159,0.14481772,0.140482,0.13674068,0.13473068,0.13415225,0.13492431,0.13690414,0.14030689,0.14354564,0.14428167,0.14028902,0.13241822,0.12343818,0.11656312,0.11241796,0.10970373,0.10644864,0.10221522,0.09789034,0.09464588,0.09278975,0.0916031,0.09043417,0.08921537,0.08907408,0.09112701,0.095579825,0.10059338,0.103582405,0.10287353,0.09923092,0.094704546,0.09126284,0.08927638,0.08823007,0.08722639,0.086372204,0.086429596,0.08891028,0.095791645,0.10993272,0.1333055,0.16253966,0.18816026,0.19854887,0.19055928,0.17012621,0.14882566,0.13288508,0.12352803,0.11803562,0.115518875,0.115559526,0.117996015,0.12102126,0.12343261,0.12492751,0.12702274,0.12940317,0.13023488,0.12606192,0.116891675,0.10573605,0.0976606,0.09478844,0.0956915,0.09690096,0.09634494,0.09500175,0.09510624,0.09789162,0.10171667,0.10398548,0.10330907,0.10134456,0.10131592,0.105724,0.1138761,0.12230887,0.12671576,0.12554637,0.12063507,0.11597977,0.11384567,0.11391791,0.11431559,0.11463604,0.11620942,0.12070578,0.128002,0.13633074,0.14350495,0.14846615,0.15138046,0.15333106,0.15544437,0.15850699,0.16263999,0.16760029,0.17266123,0.17698197,0.17930464,0.17935526,0.17761256,0.17600028,0.1756085,0.17671649,0.17916103,0.1852752,0.20041943,0.22748756,0.26125094,0.28693116,0.29204246,0.2756913,0.25030383,0.2292973,0.21778156,0.2113715,0.20347266,0.19093417,0.17525615,0.15989645,0.14812116,0.14103362,0.13788939,0.13611583,0.13329875,0.1279255,0.120471865,0.11247636,0.10578545,0.1015662,0.10015956,0.101240136,0.10374091,0.10630397,0.107608944,0.10727284,0.10551252,0.10274106,0.099020205,0.09430776,0.088824965,0.08277104,0.076499276,0.07048186,0.06603222,0.0646706,0.06712794,0.072134145,0.07675698,0.07835913,0.07642627,0.07273168,0.06934902,0.06698603,0.06490731,0.06242435,0.059854627,0.058339715,0.058745008,0.06075396,0.06304587,0.06429757,0.064658105,0.06545651,0.067991115,0.071887605,0.075578816,0.077548355,0.077208586,0.07638272,0.079337984,0.093374886,0.12049955,0.15378354,0.17544408,0.1731018,0.14761779,0.11512667,0.09056953,0.0793361,0.076362215,0.075085945,0.07225945,0.06798089,0.06368739,0.060995355,0.0614839,0.06570071,0.07268611,0.08036118,0.08681705,0.09075171,0.09154451,0.08952866,0.08608603,0.08319429,0.08152672,0.08046248,0.0783684,0.074612975,0.0695588,0.06466154,0.061305434,0.059686795,0.058572795,0.05585582,0.051189233,0.046264853,0.044234004,0.046289176,0.051141467,0.05557179,0.057414815,0.056249026,0.05352078,0.050758764,0.049088825,0.048392575,0.04833744,0.048628222,0.049965587,0.05272856,0.056545425,0.059489746,0.06003781,0.05811265,0.0559817,0.056265444,0.060106248,0.065865844,0.07045898,0.07203878,0.073147275,0.08137593,0.106380425,0.15196078,0.21063244,0.26449236,0.29664266,0.30142835,0.28728363,0.26843405,0.25486314,0.24832733,0.2450989,0.24174748,0.23734748,0.23260193,0.22786641,0.22247548,0.21647318,0.21071689,0.20708953,0.20566325,0.20521857,0.20335017,0.19969772,0.19541188,0.19224352,0.18999301,0.18653728,0.17991471,0.16997047,0.1593573,0.15073663,0.14515038,0.14039798,0.1339655,0.12570243,0.118573494,0.115363486,0.11491469,0.113218375,0.107311696,0.09900948,0.09282219,0.0923008,0.097172596,0.104627915,0.11153656,0.11635524,0.11926354,0.12125731,0.12308813,0.124403596,0.12457037,0.12335312,0.122287326,0.1244934,0.13503824,0.15855332,0.19555672,0.23752546,0.26980147,0.27983454,0.26755002,0.24327223,0.2199822,0.20395477,0.19583897,0.19347821,0.19499691,0.19759803,0.19867744,0.19679503,0.19353633,0.19106586,0.19064938,0.19083004,0.18993507,0.18729396,0.1842588,0.18211521,0.18098049,0.17938022,0.17581594,0.1697579,0.16224836,0.15506534,0.15003936,0.14801972,0.14860024,0.15015566,0.15084384,0.14989445,0.14811629,0.1469851,0.14675242,0.14577527,0.14186184,0.13445847,0.12555243,0.118082635,0.11510334,0.1188971,0.13204868,0.15277301,0.17436703,0.18488443,0.17907132,0.16078645,0.14234094,0.13066433,0.124984555,0.11875332,0.10932588,0.09878716,0.09173555,0.09002984,0.09268502,0.09696714,0.10126415,0.10501198,0.10864133,0.11154142,0.112608016,0.11013717,0.10415805,0.09573784,0.0873441,0.08080862,0.07758764,0.07746101,0.07920852,0.08082515,0.08159936,0.082090475,0.083388925,0.085128486,0.086057104,0.08549438,0.084581286,0.0848701,0.08618387,0.08626371,0.08291172,0.0767959,0.07152783,0.071237534,0.07719939,0.08697915,0.096301734,0.102455705,0.10564846,0.10784627,0.109626554,0.10976392,0.106241845,0.099262945,0.09054256,0.08278606,0.077332206,0.07487274,0.07457744,0.07533223,0.07568109,0.07587948,0.077106476,0.08079461,0.0863728,0.09222639,0.09671327,0.099787384,0.101804025,0.10270763,0.10170006,0.09894989,0.09642104,0.0971446,0.103094034,0.11370188,0.12625186,0.13747378,0.14544627,0.15024035,0.15311319,0.15497112,0.1555713,0.15418266,0.15019412,0.14321798,0.1328318,0.1194446,0.105134755,0.09312525,0.0858872,0.08360398,0.08467465,0.086942546,0.088991374,0.09023168,0.09118336,0.09288151,0.095975876,0.09898642,0.09846028,0.09116105,0.07745785,0.061841547,0.050426092,0.04673938,0.05041151,0.05779295,0.065368384,0.070974894,0.07524536,0.07892138,0.08216676,0.082978845,0.08006676,0.07369089,0.06644925,0.06088358,0.058326457,0.058448855,0.06035622,0.06344193,0.06772022,0.07326725,0.07989351,0.08726707,0.095783316,0.10642511,0.11974138,0.13442855,0.14753352,0.15617418,0.1594619,0.15896289,0.15746592,0.15723151,0.1589511,0.16168202,0.1636725,0.16348898,0.16093047,0.15723608,0.1536976,0.15079437,0.14743946,0.14279546,0.13668709,0.13033597,0.124817215,0.12085957,0.11824442,0.116298854,0.11426115,0.11178503,0.10926467,0.107174926,0.10581914,0.10486681,0.10428838,0.104225,0.10508565,0.106203526,0.10618323,0.10352486,0.09844222,0.09281085,0.0892224,0.08908921,0.092003964,0.095994584,0.09917146,0.100834675,0.10202378,0.10382816,0.10629838,0.108099766,0.10855635,0.10846258,0.10973534,0.11336475,0.11900478,0.1253037,0.13114995,0.1357214,0.1387719,0.14053847,0.14177752,0.14297919,0.143725,0.14272058,0.13883103,0.13179857,0.12207527,0.1101976,0.09690753,0.08392557,0.07384544,0.06893542,0.06957059,0.07393967,0.07893523,0.08189506,0.08216104,0.08158532,0.082815744,0.08693513,0.09196157,0.09445715,0.09203493,0.085277565,0.07734552,0.07531262,0.088781774,0.12866698,0.19163854,0.25920916,0.29915786,0.2978946,0.26296628,0.22258747,0.193808,0.18188088,0.1792875,0.1807981,0.18168469,0.1805542,0.17715867,0.17396641,0.17241277,0.1726721,0.17332293,0.17417683,0.17541032,0.1772881,0.17897761,0.17962472,0.178971,0.17728253,0.17513038,0.17265928,0.17028312,0.16827923,0.16693223,0.1657507,0.16367345,0.1603405,0.15671535,0.15516591,0.15661712,0.16021106,0.1632194,0.1644326,0.16378732,0.16247071,0.1602834,0.15702528,0.15232551,0.14734638,0.14305325,0.14056318,0.13986911,0.14107287,0.1436377,0.14764309,0.15283515,0.15949088,0.16654281,0.17270409,0.17590576,0.17599034,0.17370683,0.17139588,0.17057295,0.17244945,0.17638576,0.18084396,0.18298207,0.1806888,0.17315942,0.16190122,0.14974737,0.13997428,0.13486557,0.1349295,0.13828212,0.14144059,0.14080125,0.13518667,0.1261802,0.11727181,0.11094136,0.10764518,0.10569746,0.103299074,0.0998519,0.09656007,0.09472391,0.09408846,0.092498235,0.08796052,0.08046638,0.071948946,0.06468264,0.0598368,0.05737126,0.056290846,0.05540401,0.053952295,0.05216532,0.050956488,0.05073313,0.051114578,0.051472828,0.05248509,0.055304613,0.059806127,0.06309689,0.061648563,0.05464508,0.04529576,0.038429793,0.036614865,0.03886154,0.042271603,0.045261994,0.04860237,0.054225873,0.062203962,0.06985799,0.07284583,0.06868524,0.05843995,0.04644976,0.03747416,0.03411853,0.0358326,0.039770823,0.04308553,0.04456595,0.045139614,0.046563495,0.04969019,0.05411094,0.058705688,0.06319553,0.06734676,0.07041097,0.07029137,0.065359175,0.056068633,0.04551122,0.03824256,0.037415903,0.042960044,0.05060866,0.055362318,0.055111006,0.053214747,0.054501075,0.060727432,0.067727625,0.06970685,0.06350535,0.05131953,0.038207326,0.029411552,0.028057402,0.033980448,0.044217963,0.054192696,0.061064076,0.064077474,0.06428707,0.06240827,0.059650343,0.05792528,0.059172153,0.06251436,0.064125486,0.05994432,0.050121173,0.03905719,0.032554552,0.032978985,0.038717315,0.045750067,0.051706668,0.056741092,0.06274717,0.069867045,0.075719655,0.07638714,0.07011328,0.058374617,0.045256764,0.034630474,0.029070353,0.029279748,0.034210697,0.041057315,0.046608742,0.049086306,0.049083922,0.048167184,0.047765583,0.048566908,0.051413417,0.056060243,0.060363274,0.060441285,0.053887133,0.04229096,0.03068242,0.024402631,0.025771504,0.033224825,0.04206637,0.04767652,0.049126465,0.052593317,0.06902967,0.10837725,0.1701643,0.24293844,0.30804637,0.3526883,0.37321237,0.37654197,0.37046537,0.36146715,0.3514636,0.3416777,0.33256373,0.32506725,0.31905112,0.3132062,0.30566144,0.29582456,0.28512862,0.2750032,0.26562372,0.25645915,0.24882026,0.24434096,0.24189436,0.23620848,0.22192723,0.19825774,0.16974604,0.14303106,0.12299225,0.11090701,0.104975544,0.101677775,0.098436885,0.09429228,0.09059454,0.088866346,0.09030742,0.09447664,0.09979782,0.10391282,0.10492534,0.102517456,0.09793988,0.09286106,0.08847743,0.08517351,0.08357415,0.08363978,0.08457312,0.0842383,0.081274815,0.07613739,0.0711107,0.068572074,0.06936249,0.072455026,0.07543725,0.0762262,0.074695595,0.073076196,0.074008234,0.07766495,0.08102971,0.08036832,0.07443825,0.065914795,0.059066314,0.05711301,0.059778523,0.06433302,0.067469686,0.06803087,0.06720757,0.06697192,0.067860276,0.06877237,0.06872035,0.06825197,0.068626136,0.06972746,0.06968424,0.06678193,0.06172094,0.05739646,0.056703668,0.060437072,0.06678065,0.07260328,0.075270385,0.074404,0.07191728,0.070432134,0.071089976,0.07272062,0.072978556,0.07026973,0.06503974,0.059463356,0.05602014,0.05585243,0.058371823,0.0617881,0.06475841,0.066684194,0.06802886,0.06882926,0.06922588,0.069152616,0.069360204,0.070046544,0.07046328,0.06894814,0.064757675,0.059123125,0.05458724,0.053327158,0.055797648,0.060737282,0.06584832,0.06912285,0.069756955,0.06860462,0.06720533,0.06664964,0.066669635,0.06606955,0.06394058,0.060754027,0.05835494,0.058362532,0.060710046,0.06346185,0.06467002,0.0640099,0.06301817,0.06326588,0.06456826,0.06492569,0.062272888,0.056994576,0.05131786,0.047896508,0.046893533,0.04741642,0.048229393,0.04959047,0.05167599,0.054369647,0.05698211,0.059205722,0.06127106,0.06377737,0.06726877,0.071784526,0.07630315,0.07882277,0.077537395,0.072283626,0.06518678,0.0588402,0.054945827,0.053175867,0.052890483,0.053546797,0.055301685,0.057781693,0.060155403,0.061207306,0.06043979,0.058294516,0.05619063,0.054994375,0.054696005,0.054002002,0.0523345,0.04986185,0.048061293,0.048068848,0.05052461,0.05462052,0.05875817,0.06133942,0.062348757,0.06302601,0.06466606,0.06666663,0.06724442,0.0645828,0.058937218,0.052046973,0.046350885,0.043085795,0.04235174,0.04339531,0.045748994,0.049148444,0.053268015,0.057070762,0.05917408,0.058907658,0.057133213,0.0558559,0.057415273,0.06657649,0.090929605,0.13768981,0.20017628,0.2578145,0.28412345,0.2728633,0.23586112,0.19595362,0.16319662,0.13969521,0.121896215,0.10983708,0.102479935,0.097332515,0.091139555,0.0824494,0.072908364,0.06517481,0.061386213,0.061395407,0.06329117,0.06484283,0.06506092,0.06500282,0.06622062,0.06881405,0.07071078,0.06949807,0.06525243,0.06016901,0.056953266,0.056031678,0.056607988,0.057458237,0.05837905,0.059417922,0.060648378,0.062210273,0.06431969,0.067527115,0.07187464,0.07731533,0.0829362,0.08776981,0.09041321,0.09040645,0.08815881,0.085396685,0.08382095,0.08443633,0.086891055,0.090124466,0.093157314,0.095540695,0.09740299,0.09886015,0.10011724,0.10117189,0.102730535,0.106073864,0.113574475,0.12665568,0.14535819,0.16641021,0.18618755,0.20129061,0.21203603,0.21962835,0.22537442,0.22843426,0.2279741,0.2253067,0.22310539,0.22362937,0.22599305,0.22828771,0.22977538,0.23203242,0.23707908,0.24438465,0.2511939,0.25409114,0.25209698,0.2465534,0.24021123,0.2350402,0.23186402,0.23064764,0.23101991,0.23235895,0.23339213,0.23352058,0.23281074,0.23252352,0.23323971,0.23566861,0.24007471,0.2466845,0.253623,0.2577901,0.2561399,0.2489918,0.23923855,0.23097868,0.2262571,0.225022,0.2260403,0.22781152,0.22947562,0.22992451,0.22922905,0.22807227,0.2273608,0.22677839,0.22369772,0.21590006,0.20202792,0.18395655,0.1638384,0.14450939,0.12756751,0.11462959,0.10612422,0.101817615,0.10014865,0.09934894,0.097611606,0.09445106,0.090400636,0.08696463,0.08487592,0.0840137,0.08327812,0.08223391,0.08107254,0.08077165,0.08129717,0.08174647,0.08033302,0.07671862,0.07189262,0.06796718,0.06569945,0.064706616,0.0636589,0.062423628,0.06170154,0.062924206,0.06581319,0.06844588,0.06755585,0.062022757,0.053659726,0.04673618,0.044193674,0.04604951,0.049473416,0.051387396,0.050331116,0.04714766,0.04407187,0.043081295,0.044847135,0.048559215,0.05325983,0.058485907,0.064405195,0.07004598,0.07333979,0.07185194,0.0657418,0.057373792,0.050161097,0.04540107,0.042806488,0.04111363,0.04039298,0.041472655,0.045814414,0.05293317,0.06042559,0.064260304,0.062472105,0.05625009,0.04958449,0.0459772,0.046442192,0.049259964,0.05136403,0.050715763,0.04737437,0.043733772,0.042087104,0.043260485,0.04567485,0.047844645,0.049356762,0.051778927,0.05572105,0.060311496,0.06280432,0.06201665,0.058975916,0.05922091,0.0713347,0.105780505,0.16373204,0.23147184,0.28142604,0.29383233,0.26982066,0.23107211,0.19880314,0.18133043,0.17436017,0.17115144,0.16758573,0.16168362,0.152413,0.14064258,0.12947534,0.12249128,0.12090984,0.122882985,0.12497934,0.124738686,0.12245861,0.120782256,0.12209331,0.12589209,0.12882371,0.12807223,0.123690695,0.11831561,0.11399738,0.11151007,0.1109548,0.11335611,0.11914709,0.12723203,0.13481252,0.13990988,0.1420922,0.1421297,0.14073743,0.13858485,0.1365922,0.13518591,0.13442804,0.13404216,0.13478483,0.1370516,0.14039715,0.14309733,0.14448573,0.14577107,0.14883389,0.1542594,0.1603381,0.16543388,0.16827165,0.16866781,0.16524349,0.15749197,0.14642052,0.13658579,0.13214624,0.13435267,0.13885023,0.14043052,0.13682051,0.13204801,0.13188551,0.1387863,0.14868563,0.15474808,0.15404956,0.15041511,0.15134372,0.16109788,0.17806102,0.19671011,0.21235956,0.22329651,0.23091428,0.23702419,0.24138503,0.23970427,0.22687966,0.20215066,0.1729623,0.15101765,0.14497021,0.15453911,0.17259586,0.19091962,0.2059294,0.21855867,0.2311651,0.24350755,0.25267747,0.25524238,0.25077716,0.2420926,0.23353349,0.22724128,0.22235537,0.21607113,0.20688938,0.19575942,0.18544747,0.17844051,0.17550825,0.1758932,0.17793782,0.18039183,0.18219633,0.18280797,0.18163137,0.17885213,0.17504306,0.17107011,0.1670835,0.1628297,0.15798064,0.15278463,0.14765017,0.14294948,0.13874127,0.13515937,0.13230103,0.13038139,0.1296001,0.13152377,0.13921373,0.15723048,0.18572891,0.21754904,0.23766361,0.23471539,0.20875306,0.17267723,0.14091311,0.1204713,0.10950461,0.10294173,0.09791068,0.09436953,0.09368634,0.0961357,0.100582816,0.104506396,0.1060778,0.10474665,0.10224813,0.10062488,0.10132275,0.103667825,0.106307305,0.10891562,0.113099225,0.12146199,0.13481723,0.15176634,0.16872479,0.18244101,0.1908714,0.19431716,0.19460893,0.19429928,0.19557752,0.19981419,0.20724921,0.21661006,0.22561248,0.2319066,0.23489052,0.23580994,0.23706456,0.24006633,0.24452227,0.24867475,0.25100926,0.25147966,0.2517098,0.25376722,0.25830826,0.26401207,0.26842776,0.2700062,0.26906633,0.26648778,0.26276252,0.25681242,0.24914809,0.24152853,0.23771285,0.23872717,0.24329256,0.2476424,0.2500449,0.25079712,0.25204146,0.2542055,0.2559999,0.25521395,0.2515764,0.24711014,0.24473965,0.24642833,0.2515987,0.25836945,0.2638872,0.26636133,0.26498282,0.26063755,0.25527763,0.2503204,0.24620754,0.24177124,0.23651604,0.2303397,0.22405253,0.21827023,0.2134151,0.20910455,0.20371072,0.19510873,0.18175536,0.16381401,0.14270596,0.12123699,0.10240901,0.08953095,0.08338856,0.0831275,0.08488014,0.08624178,0.08539825,0.0837999,0.08177921,0.080343254,0.07879593,0.078133635,0.07785946,0.07755665,0.07549714,0.072766215,0.072335415,0.078187235,0.09151938,0.110473834,0.13147251,0.15135337,0.16846806,0.18214752,0.1920734,0.197883,0.19985364,0.19931406,0.19818844,0.19751187,0.19701461,0.1951261,0.1904204,0.1809638,0.16577953,0.14470597,0.12160102,0.102464296,0.094829954,0.10242581,0.12522668,0.15830652,0.19578475,0.23217984,0.2652119,0.29463398,0.32076252,0.3418919,0.3543266,0.35415938,0.3396885,0.31256628,0.27689862,0.23810428,0.20137744,0.17090064,0.14814387,0.13146268,0.11709524,0.10217603,0.08664805,0.07325957,0.065283634,0.06470419,0.070152245,0.077657565,0.081905685,0.08054065,0.07464996,0.068128556,0.063525654,0.061734468,0.06206679,0.063817084,0.06545029,0.06510983,0.061853096,0.057351213,0.0547498,0.056110766,0.06069681,0.066285394,0.071090914,0.07443861,0.07603166,0.0755981,0.073516525,0.070820905,0.06902241,0.06894266,0.07099583,0.07415033,0.07797283,0.08361115,0.096629925,0.12190782,0.15752734,0.19134413,0.2092722,0.20702536,0.1914422,0.17252833,0.1539911,0.1355554,0.11810144,0.104507275,0.09620318,0.09068804,0.08599064,0.08193853,0.08043284,0.08117031,0.08226736,0.08121607,0.078026496,0.074739225,0.07478859,0.079214,0.085869074,0.08929635,0.0859794,0.076653294,0.06681557,0.061385166,0.061654437,0.06446555,0.06627046,0.06553662,0.06391874,0.06301763,0.06346064,0.06369221,0.06347928,0.063368626,0.06538365,0.06893595,0.07198418,0.07105995,0.06588774,0.058765005,0.054287937,0.054588556,0.059685394,0.06786779,0.07927636,0.09422004,0.11198906,0.12952785,0.14422522,0.15563442,0.16501534,0.17337167,0.18052448,0.18627967,0.19119334,0.19639581,0.20213468,0.20713197,0.20926721,0.20741552,0.20287172,0.19883369,0.19863252,0.20326577,0.21127324,0.21967588,0.22656052,0.23124285,0.2339741,0.23460032,0.23329516,0.2308064,0.22854961,0.22720002,0.22658531,0.22536153,0.22245531,0.21678393,0.20904423,0.20050555,0.1936266,0.18959753,0.18894772,0.19110195,0.195675,0.2029287,0.2130615,0.22599192,0.23996074,0.25328925,0.26485065,0.27526197,0.28522313,0.29460025,0.30246723,0.30858943,0.31466612,0.32340804,0.3366951,0.3536974,0.37159225,0.3872265,0.39890644,0.4061583,0.40887055,0.40664503,0.3992412,0.38709906,0.37152883,0.35387543,0.33525813,0.3162147,0.29761162,0.28026137,0.26483527,0.25158852,0.240741,0.23270722,0.22660358,0.22088231,0.21364069,0.2052807,0.19658858,0.18867998,0.18136032,0.17528093,0.17044581,0.16559795,0.15732901,0.1427658,0.122348554,0.099875666,0.08069539,0.067910545,0.061669666,0.059244305,0.058493193,0.05883682,0.061379094,0.06554922,0.06906108,0.0685951,0.063817315,0.05700849,0.052392155,0.05199048,0.055423588,0.05997012,0.06387674,0.06682234,0.06945792,0.071357764,0.07102189,0.06826189,0.064849034,0.06382508,0.06542861,0.067830585,0.068383574,0.067296945,0.06577126,0.064786844,0.06347832,0.06141308,0.059180927,0.058354024,0.05990863,0.063938946,0.06937688,0.07427741,0.07624173,0.07455104,0.070543766,0.06714412,0.065395385,0.06441901,0.062022414,0.05781439,0.05317555,0.051690504,0.058289558,0.07837578,0.11243797,0.15194535,0.18050642,0.18531363,0.16636395,0.13660178,0.11046969,0.095256306,0.08910188,0.08699903,0.08427432,0.08018129,0.07578369,0.073629856,0.07361274,0.07452517,0.07416146,0.07246786,0.07027907,0.06955376,0.07145839,0.07623652,0.08199986,0.08586645,0.085603684,0.08127207,0.07527385,0.07045754,0.06902867,0.07128921,0.076042525,0.080551244,0.08181631,0.07838261,0.071758375,0.06581826,0.063701175,0.06513411,0.066844106,0.06565419,0.06167468,0.05755699,0.05603577,0.057198267,0.0594426,0.061328024,0.06316397,0.06632056,0.07141506,0.07805735,0.08473525,0.09056851,0.09422866,0.095056765,0.09230598,0.087416284,0.0823147,0.07922184,0.07802979,0.07811057,0.078401424,0.07914102,0.08020381,0.081198305,0.08097864,0.078755975,0.07484797,0.070756435,0.06881044,0.069987364,0.073534824,0.076703034,0.077695936,0.07593446,0.073136695,0.07076931,0.07020134,0.07076248,0.071146466,0.06948768,0.06538453,0.059791073,0.054594252,0.051268812,0.050237123,0.050704032,0.051495925,0.051391747,0.05057657,0.049903676,0.05133384,0.0553358,0.061143164,0.06585732,0.06729597,0.0646769,0.059772033,0.05497649,0.052275013,0.051968645,0.053092446,0.054059833,0.053776477,0.052719336,0.052175242,0.053385485,0.055434514,0.05689304,0.056467917,0.055306215,0.055146795,0.0579806,0.06400772,0.07205329,0.079160444,0.082221575,0.07968033,0.07286682,0.065454595,0.061021548,0.06165119,0.0669711,0.07527387,0.08377474,0.09022836,0.093556724,0.094901286,0.09644229,0.10018629,0.10653931,0.11492782,0.124658644,0.13585715,0.14892457,0.16376527,0.17927234,0.19404775,0.20739497,0.21964414,0.2310922,0.24132454,0.24904923,0.25368977,0.25546047,0.2559127,0.2563728,0.25813738,0.2613854,0.26602438,0.2714837,0.27772376,0.28460932,0.2921048,0.2993449,0.30571392,0.3104532,0.314011,0.31684574,0.32052827,0.32594875,0.33402562,0.34353456,0.35288188,0.3596183,0.3629711,0.36276758,0.36066413,0.35854474,0.3583578,0.3601451,0.36258772,0.36401168,0.36357737,0.36104047,0.3563713,0.34995386,0.34205034,0.33092955,0.31216085,0.2808051,0.23617399,0.18484227,0.14019473,0.117102124,0.12270806,0.1484481,0.1728704,0.1758389,0.15455383,0.12208169,0.09492689,0.07895886,0.07192125,0.06974196,0.07178414,0.07807901,0.08748058,0.09814254,0.10908976,0.120869376,0.13460207,0.1514594,0.17178857,0.19476993,0.21848507,0.2407866,0.26058266,0.27783933,0.29327032,0.3070073,0.31868598,0.3274223,0.33282113,0.33529592,0.3363121,0.33770585,0.34078082,0.34577215,0.35231814,0.36052966,0.37132576,0.38553324,0.40255365,0.42022765,0.436159,0.4490541,0.45907712,0.46706763,0.47417474,0.48135564,0.48902357,0.49611107,0.5006303,0.5010039,0.49777043,0.49264514,0.48685876,0.4796674,0.47011557,0.4583452,0.44606546,0.43419918,0.42220494,0.40871796,0.39361534,0.3782303,0.36394724,0.35082534,0.33734956,0.3221417,0.30492213,0.28726265,0.2708886,0.25668427,0.24348252,0.22954172,0.21398932,0.19803394,0.1840303,0.17363901,0.16678117,0.16186148,0.15744713,0.15330805,0.15065812,0.15068026,0.15328662,0.15658687,0.15837504,0.15776676,0.15575673,0.15389048,0.15220386,0.1489696,0.14187042,0.13010521,0.11505254,0.0994698,0.08602611,0.07569906,0.068100624,0.06231976,0.0584497,0.056983437,0.057744075,0.05915108,0.059228364,0.0572775,0.054127365,0.051444337,0.049802184,0.04876086,0.047137316,0.04483473,0.0425463,0.041612882,0.042506192,0.04494917,0.04791658,0.050426513,0.051769923,0.051621463,0.050267477,0.048145194,0.04581238,0.04353429,0.04179676,0.04151374,0.043359328,0.04750185,0.05238712,0.056512605,0.058171708,0.057963017,0.05670978,0.056189846,0.05613857,0.055982556,0.054003593,0.050255325,0.045870397,0.043552235,0.044506203,0.047852144,0.05051517,0.050553184,0.04859096,0.04802471,0.051635575,0.059146404,0.066713855,0.06997321,0.06788322,0.06310989,0.059874687,0.05949824,0.06077695,0.06142651,0.061965983,0.0641691,0.069478236,0.07596812,0.08091702,0.0828693,0.08465314,0.0904507,0.10352097,0.12227156,0.14257641,0.1595821,0.17171012,0.17948467,0.18563096,0.19367088,0.20875716,0.23385338,0.26582488,0.29363313,0.30558822,0.29825044,0.2793601,0.260914,0.250136,0.24673016,0.24677216,0.24761437,0.24938785,0.25303984,0.25875,0.2651211,0.2703229,0.2728012,0.27210522,0.26868597,0.26340854,0.25707495,0.25041312,0.24438988,0.24010237,0.23810792,0.23800427,0.23867194,0.2393958,0.24024665,0.24192898,0.24468015,0.24782693,0.24995367,0.24993439,0.24800329,0.24578808,0.24552643,0.24842207,0.25408962,0.26043287,0.26521942,0.26661935,0.26443633,0.2592003,0.25244036,0.24543917,0.2392044,0.23399653,0.22947107,0.22532105,0.22092025,0.21618189,0.21098834,0.20588492,0.20057328,0.1937325,0.1825611,0.1647146,0.1399358,0.11117941,0.0836278,0.06219655,0.049776245,0.046166454,0.04927044,0.055622865,0.061845947,0.065383755,0.065530956,0.06355243,0.06125093,0.059892,0.058806065,0.056914974,0.05341352,0.049492154,0.046960164,0.0473682,0.050246418,0.053859424,0.056205753,0.05667734,0.05561043,0.05381821,0.05134314,0.04841666,0.045199294,0.042560488,0.04065947,0.03960192,0.038689572,0.037683047,0.036147594,0.034662813,0.03384684,0.034719273,0.037130404,0.04035523,0.042910982,0.04381552,0.042799514,0.04063049,0.038597967,0.03742845,0.03683192,0.035608605,0.03333779,0.030868454,0.030062238,0.031774092,0.035230566,0.038368832,0.039645452,0.03870217,0.03647016,0.03409633,0.032502692,0.03178739,0.031779435,0.03222969,0.03345603,0.035591718,0.038341258,0.040454358,0.040930156,0.039675217,0.038186252,0.038289305,0.040858995,0.044702154,0.047518704,0.047621787,0.045316488,0.042222444,0.039636765,0.03753436,0.035165224,0.03251202,0.030591026,0.030874467,0.0336463,0.037952166,0.041783143,0.04371947,0.04315841,0.040814828,0.03774646,0.035205603,0.033924345,0.034361955,0.03635806,0.03944421,0.045498397,0.062072325,0.10308805,0.17599678,0.26864123,0.34621263,0.3754721,0.34823647,0.28647283,0.22039373,0.16802017,0.13147505,0.10587374,0.08733233,0.0736905,0.0638474,0.057096142,0.053149205,0.05180567,0.052114606,0.053077642,0.053385947,0.05284838,0.051457252,0.049935713,0.04831433,0.04681158,0.045316767,0.044385526,0.04433812,0.045580775,0.047631588,0.04977702,0.05086879,0.050575048,0.04941651,0.04898878,0.050776992,0.055123467,0.060791846,0.06542724,0.067618646,0.06765532,0.06760789,0.06848652,0.06948721,0.06835935,0.06465454,0.05999279,0.057226434,0.05717668,0.058852803,0.0598676,0.059362378,0.05759515,0.0561154,0.05545646,0.055693116,0.056077477,0.056745205,0.057937305,0.0604132,0.06368547,0.06688279,0.06822696,0.06740028,0.064961195,0.06309196,0.06321763,0.06591334,0.06978777,0.07299576,0.07415298,0.07371833,0.07317483,0.074170694,0.07893207,0.09200568,0.11897025,0.15965462,0.20303619,0.23083873,0.23091446,0.20559724,0.16914065,0.13578539,0.11271847,0.10004658,0.095690496,0.097406596,0.10282651,0.10807591,0.109309964,0.1044757,0.095541514,0.08662674,0.081451565,0.08062658,0.08269582,0.08605222,0.09008018,0.09448572,0.09814728,0.09986796,0.09888577,0.09594071,0.0920841,0.08867211,0.086188845,0.084750324,0.083661325,0.08238108,0.08077166,0.0794785,0.07934002,0.080419235,0.0819925,0.082930654,0.08315901,0.083383955,0.08435846,0.08566327,0.08584107,0.08392363,0.08021327,0.0768256,0.075783156,0.078126036,0.08268876,0.08755372,0.091195755,0.093482055,0.09494892,0.095723875,0.09555417,0.09409061,0.09164023,0.08861038,0.085466176,0.08264628,0.08064022,0.07992398,0.08032,0.081611544,0.08343888,0.08593252,0.08871008,0.090990305,0.091774695,0.09094509,0.08952246,0.08858753,0.08848623,0.08866817,0.088948034,0.08962262,0.090849556,0.092092,0.092431255,0.091564976,0.08965366,0.087416284,0.08547934,0.08447617,0.08423448,0.08408932,0.08324925,0.08184001,0.080805205,0.08110055,0.08261987,0.084025,0.08408892,0.08310941,0.082959354,0.08529881,0.08974659,0.09432861,0.09700149,0.0975641,0.09722948,0.09771306,0.0996222,0.10192141,0.103054196,0.10190206,0.099635325,0.097759336,0.09806841,0.10007013,0.102986865,0.10522753,0.10660353,0.1072847,0.107971154,0.108709216,0.109011054,0.10844791,0.10679234,0.10455128,0.10223144,0.101163976,0.10228968,0.106341265,0.11227313,0.11831053,0.12226367,0.123146884,0.12166256,0.11972505,0.11920182,0.1199555,0.120363615,0.1183955,0.11408148,0.10944983,0.10780644,0.111165494,0.11909076,0.12843193,0.13710512,0.1464655,0.16258396,0.18708815,0.2142691,0.22964256,0.22625673,0.20692682,0.18522184,0.16950662,0.16244197,0.16002935,0.15971424,0.1596011,0.1598375,0.15984242,0.15937328,0.15743966,0.15487857,0.15297991,0.15336943,0.15522002,0.15708165,0.15766293,0.1574753,0.15706569,0.15660207,0.15576307,0.15482587,0.1547543,0.15604496,0.15836962,0.16050464,0.16173132,0.16200165,0.16155213,0.1606371,0.15923333,0.15830968,0.15863514,0.16101934,0.16447003,0.16800259,0.17042595,0.1718871,0.17228629,0.17171085,0.16994981,0.16764599,0.16571532,0.16498579,0.16522737,0.16583307,0.16630943,0.16723704,0.16929884,0.17282908,0.1767705,0.1799732,0.1817801,0.18330614,0.18571557,0.18908854,0.1912554,0.19002007,0.18511467,0.1787473,0.17364037,0.17128909,0.17193353,0.17550498,0.18181856,0.18988109,0.19723986,0.2013101,0.20117192,0.19868684,0.19635819,0.19541073,0.19517447,0.19512385,0.19579117,0.19791746,0.20188384,0.20721193,0.21392597,0.22101592,0.22732675,0.23103958,0.23208487,0.2312907,0.22982012,0.22768445,0.22411536,0.21927084,0.21443747,0.21171361,0.21152921,0.21309453,0.2149721,0.21649754,0.21699733,0.21553521,0.21190526,0.20771526,0.20599566,0.20870776,0.21517886,0.22243415,0.22777832,0.23090525,0.23393096,0.23876773,0.2449907,0.24982019,0.25084245,0.24733132,0.24076374,0.23333454,0.22805184,0.2270652,0.2311501,0.23887646,0.24836527,0.25829348,0.26753476,0.27474687,0.27794862,0.2769085,0.27210906,0.26568636,0.2584097,0.2518614,0.24649553,0.24348472,0.24224555,0.24228851,0.242981,0.24452882,0.24653338,0.24752176,0.24616466,0.24465363,0.24884242,0.26610753,0.295463,0.32748842,0.34542862,0.34186533,0.31947693,0.29215655,0.26955375,0.256372,0.24976723,0.2472639,0.24626993,0.24637361,0.2466418,0.24671791,0.2456301,0.24334837,0.24029554,0.2374389,0.23470165,0.23075645,0.2238888,0.21378787,0.20200495,0.19115166,0.18290342,0.17739022,0.17314322,0.16956379,0.1672678,0.16830684,0.17247482,0.17791449,0.18111992,0.18149175,0.17979999,0.17832059,0.1769536,0.17541808,0.17329283,0.17248504,0.17397976,0.17730846,0.1794949,0.17935455,0.17797069,0.17824559,0.18087189,0.18429787,0.18622549,0.18606848,0.18462305,0.18260933,0.18047506,0.1792161,0.1809045,0.18612003,0.19260506,0.1960117,0.19457553,0.19035429,0.18751223,0.1876895,0.18986815,0.1919713,0.19366574,0.1951438,0.196751,0.19799457,0.19945097,0.2013994,0.2045169,0.20743172,0.20992024,0.2109498,0.21180423,0.21192111,0.2119208,0.21081959,0.20943631,0.20803969,0.20757717,0.20826773,0.21024156,0.2136059,0.21751909,0.2209382,0.22238989,0.22275244,0.22387992,0.22841908,0.23634218,0.24585097,0.25365,0.25798333,0.25858116,0.25667664,0.25261083,0.24640857,0.23772235,0.22841674,0.22074305,0.21790786,0.22061914,0.22918303,0.24100502,0.2537212,0.263386,0.26832,0.2680862,0.26467684,0.26024565,0.25726715,0.25851056,0.26584765,0.2781973,0.2910113,0.30001834,0.30437684,0.3068219,0.30962893,0.31292936,0.314334,0.3119079,0.30506948,0.29652527,0.28972992,0.28708413,0.28681508,0.28661278,0.2852309,0.28557706,0.2903055,0.30195475,0.31878972,0.33736515,0.3514208,0.3578771,0.35723242,0.3538318,0.3505145,0.34740672,0.34293035,0.337146,0.33190635,0.32999226,0.33250365,0.33903936,0.3468311,0.3530847,0.3554553,0.35465422,0.35240564,0.3508145,0.34972438,0.3492286,0.34941232,0.35148862,0.35488942,0.35904348,0.36334825,0.3687303,0.3746232,0.37937522,0.3813595,0.38219544,0.38553712,0.39385116,0.40514326,0.41321015,0.4115614,0.39745948,0.37403893,0.34784022,0.3250867,0.30945638,0.30229124,0.3047177,0.31753203,0.33956787,0.36568585,0.38791707,0.401108,0.40561166,0.4072169,0.4109194,0.4184482,0.42617476,0.42963937,0.4265627,0.42148677,0.42016706,0.4261569,0.43565306,0.44502115,0.45243308,0.46002796,0.468014,0.47454,0.47759083,0.4767016,0.4736246,0.46885392,0.4635899,0.45823058,0.45508444,0.45410565,0.4542456,0.45139655,0.44373047,0.43180373,0.42041516,0.41439447,0.4167211,0.42625642,0.43818948,0.44652423,0.44818747,0.44567767,0.44401824,0.44544086,0.44728842,0.44621214,0.44179776,0.4375645,0.43719968,0.44321132,0.45397058,0.4655974,0.4731259,0.47555318,0.4741433,0.47115862,0.46592402,0.45844555,0.44892824,0.4398574,0.43154383,0.42516837,0.42114964,0.42232132,0.4290713,0.44029891,0.4509072,0.45693636,0.45596752,0.45063624,0.44489622,0.44287276,0.4446397,0.44789243,0.44905612,0.44697472,0.44286814,0.4394351,0.43832412,0.43953946,0.4421202,0.44493243,0.44716308,0.44791484,0.4475988,0.44711646,0.44818822,0.45016435,0.45167005,0.45008898,0.4453366,0.43822983,0.43089804,0.42377973,0.4163494,0.40732372,0.3969575,0.38721022,0.38111827,0.38026106,0.38325766,0.38641658,0.3862885,0.38303968,0.3795284,0.37958327,0.38359725,0.39004347,0.39556646,0.39912817,0.39980984,0.39875826,0.3958335,0.39270774,0.39004862,0.3900478,0.39205572,0.39490202,0.395007,0.39202476,0.38647482,0.38142297,0.37704805,0.37376335,0.37066188,0.36828008,0.36635104,0.36444196,0.36270785,0.36122,0.3609244,0.36073837,0.36030927,0.35811982,0.35477862,0.3505316,0.34642696,0.34196258,0.33664346,0.3308086,0.3261038,0.32431448,0.32479438,0.3255786,0.3243518,0.3213205,0.31797445,0.31595576,0.31484318,0.31304964,0.30940163,0.3048617,0.30081478,0.2977692,0.2942351,0.28980204,0.28566942,0.28451565,0.2870306,0.29137087,0.29429016,0.29385805,0.29077145,0.28718564,0.2850549,0.28412664,0.28282273,0.279348,0.27408957,0.26904944,0.26683807,0.26799777,0.27087864,0.27236,0.27062273,0.26598987,0.26074114,0.2568486,0.255046,0.25462374,0.2544707,0.2535895,0.25139925,0.24822803,0.24537218,0.24457912,0.24636872,0.24932943,0.25126407,0.25120232,0.2505825,0.2512152,0.25360343,0.2553579,0.25437367,0.24967742,0.24355252,0.23775731,0.23398085,0.23189197,0.23145963,0.23192827,0.23231931,0.23201406,0.23079723,0.22987168,0.22951747,0.23002648,0.23058754,0.23139302,0.23326676,0.23739521,0.24398644,0.25098985,0.25566015,0.25551116,0.25080505,0.24309987,0.23486692,0.2272932,0.22126274,0.21701537,0.21513857,0.21536861,0.21686082,0.21788669,0.21687865,0.21329045,0.20855182,0.20613821,0.21021684,0.22394858,0.24819557,0.27971622,0.31108657,0.33179238,0.33470443,0.3192308,0.29262793,0.26428267,0.24258584,0.23162246,0.23143452,0.23837347,0.24750519,0.25556782,0.26155424,0.26610595,0.26830974,0.26693442,0.26079598,0.25239703,0.24555534,0.2442159,0.24830253,0.25519058,0.26162797,0.2668074,0.2715452,0.2760935,0.27904105,0.2781757,0.2723118,0.2618527,0.24932444,0.23868883,0.23380184,0.23556775,0.24107258,0.24570651,0.24698855,0.24622887,0.2465315,0.2489382,0.25175706,0.25236803,0.25087732,0.24881558,0.2479512,0.24800657,0.2486906,0.24973066,0.25148007,0.2539859,0.25835663,0.2667077,0.28250587,0.3071743,0.33862686,0.368749,0.3882062,0.39102745,0.37929478,0.3600441,0.33967397,0.32140777,0.30489826,0.29027188,0.2772752,0.2674813,0.26134148,0.25894144,0.2579539,0.25657868,0.25376424,0.25079304,0.24837665,0.24733935,0.24741095,0.24881233,0.25109696,0.25390342,0.25797057,0.26517642,0.27693772,0.29089472,0.30168545,0.30433795,0.2986515,0.28866005,0.2797486,0.2748247,0.27407137,0.27558243,0.27715388,0.27754298,0.2767003,0.2755991,0.27486828,0.27444485,0.2739761,0.2728366,0.27117038,0.26870123,0.2659799,0.26317358,0.26089534,0.2592123,0.25786087,0.25679946,0.2560617,0.2566891,0.25901592,0.26328683,0.26840413,0.27352735,0.27825868,0.2830712,0.28912213,0.2962314,0.30407456,0.3105832,0.3158504,0.31957746,0.32353458,0.3272958,0.33121645,0.33462974,0.33884677,0.34400907,0.3497995,0.3536947,0.35473838,0.35309184,0.35142553,0.35080603,0.35167634,0.35243806,0.352945,0.35292077,0.35358456,0.35506967,0.3581289,0.36166978,0.36476985,0.36523488,0.36321315,0.35960782,0.35719717,0.3566482,0.35744235,0.35727668,0.35523757,0.35199454,0.3495597,0.3497542,0.3525696,0.35697195,0.3605126,0.36159053,0.3593496,0.35541078,0.35276857,0.35398087,0.3595748,0.3681111,0.3796802,0.39591756,0.41825488,0.44347975,0.4651142,0.4771544,0.47872594,0.4725195,0.46271014,0.4517573,0.4415338,0.43283728,0.4261055,0.4213109,0.4176136,0.41395354,0.40840957,0.4002733,0.38990435,0.3789614,0.3689212,0.36067662,0.3542166,0.34940234,0.34588185,0.34394702,0.34315956,0.34273136,0.34144056,0.33903798,0.33634582,0.33431014,0.33332065,0.33293757,0.3326629,0.33218482,0.33131918,0.32953456,0.3262279,0.32115325,0.3154752,0.31076753,0.3087922,0.31009293,0.31463543,0.320715,0.32554367,0.32599914,0.32105628,0.3126392,0.30460814,0.3002151,0.3003464,0.30358067,0.3078899,0.31216598,0.31617805,0.32014558,0.3234414,0.32547417,0.32496607,0.32144883,0.314724,0.3062923,0.29851437,0.29351678,0.29116836,0.2893926,0.285897,0.28025326,0.2726997,0.26370776,0.25329748,0.24246897,0.2326752,0.22438473,0.21727812,0.2099576,0.202479,0.19447632,0.18673675,0.178816,0.17123939,0.1635058,0.15592599,0.14837831,0.14167248,0.13646106,0.13297401,0.13060068,0.12817013,0.12520508,0.1217286,0.11837727,0.11483007,0.110524915,0.10451963,0.097220235,0.089270465,0.08172255,0.07473051,0.068597436,0.06354359,0.060135398,0.058517832,0.058730025,0.060026955,0.0612521,0.06024073,0.055820826,0.048055843,0.03924049,0.031644076,0.026805593,0.024347013,0.023077406,0.021756224,0.020172292,0.018883392,0.018500976,0.018821651,0.019099401,0.018768432,0.018078014,0.017637974,0.01771491,0.017908856,0.017658932,0.01687418,0.015946118,0.015290941,0.014893654,0.014506947,0.01400011,0.01355388,0.013322978,0.013189453,0.01281963,0.012104948,0.011343648,0.010973681,0.011081141,0.0112581765,0.011011634,0.010249682,0.0094445795,0.009189653,0.009727452,0.010648559,0.011298384,0.011237604,0.01070188,0.010189346,0.010055337,0.010077819,0.009937246,0.009516809,0.0090913335,0.008851092,0.00870501,0.00840855,0.007917758,0.007495363,0.0073386026,0.007384239,0.0073237917,0.007074976,0.006798513,0.0067314226,0.0067917965,0.0067470614,0.0064809504,0.0061623794,0.0059848595,0.0059015346,0.005723464,0.0053488924,0.004963607,0.0047582705,0.0047701895,0.0047839074,0.0046646725,0.0044476376,0.0042803376,0.004175737,0.004007745,0.0037320713,0.003452711,0.003346564,0.0033837687,0.0034237888,0.0033270519,0.0031590208,0.0030226044,0.0029488949,0.0028351545,0.002618727,0.00236337,0.0021858553,0.002115007,0.002057681,0.0019553297,0.001843918,0.0018063709,0.001812452,0.0017752167,0.0017759398,0.0023008233,0.0041948105,0.008393231,0.015540235,0.026136285,0.040387485,0.058497608,0.079987265,0.10392952,0.12910615,0.15469284,0.18084228,0.207393,0.23418553,0.26051274,0.28824338,0.31980336,0.35618818,0.39122936,0.41594252,0.42248717,0.41264117,0.39214405,0.36872342,0.34454605,0.32097295,0.29936174,0.2831641,0.27523887,0.27323496,0.27266178,0.2683696,0.2617414,0.2557273,0.25210825,0.24809098,0.24011396,0.22840796,0.21534337,0.20442323,0.19611144,0.18969999,0.18241425,0.17223819,0.15924573,0.14645238,0.13722569,0.13212597,0.12891783,0.12513508,0.120292194,0.115217894,0.11059785,0.10666216,0.10368488,0.102223724,0.10212841,0.102910705,0.10336635,0.1028649,0.10073801,0.0973042,0.09313643,0.088787496,0.084475495,0.08026091,0.07698349,0.074925326,0.07365778,0.07182369,0.06909309,0.06636611,0.06459764,0.06372747,0.062620826,0.06074586,0.058284026,0.056054294,0.0545976,0.053853378,0.05335352,0.052224886,0.050376337,0.04822056,0.04666549,0.04578789,0.04496951,0.043582205,0.04147938,0.039159615,0.03679323,0.034613993,0.03258455,0.030950526,0.029684296,0.028782709,0.028183952,0.02784011,0.027563803,0.027007872,0.02607015,0.024861405,0.023754915,0.02299899,0.022792242,0.023041246,0.023399113,0.023465006,0.02312951,0.022666132,0.022255888,0.021790178,0.021059962,0.02007275,0.019124696,0.018379325,0.017943734,0.017756354]