[0.06267571,0.06916544,0.08291468,0.0990795,0.11384639,0.12494113,0.13228239,0.13626413,0.13801837,0.1381356,0.13725473,0.13562416,0.13363497,0.13136746,0.12867023,0.12554623,0.12227255,0.119494736,0.11729015,0.115387104,0.11313128,0.11039129,0.107405104,0.10471388,0.102619655,0.10125237,0.10051034,0.100243114,0.100044794,0.09960764,0.09877791,0.09777395,0.09677374,0.09582088,0.0949733,0.09473172,0.09627297,0.10057933,0.10739768,0.1141564,0.11709457,0.11278867,0.1004486,0.0823235,0.06350901,0.04990338,0.04566733,0.051212776,0.063107885,0.076728046,0.08843997,0.09700939,0.10229448,0.10469708,0.10459379,0.10279494,0.10010493,0.09699645,0.09365198,0.090396136,0.08787302,0.08643711,0.08579295,0.085056156,0.08346597,0.080836706,0.07758647,0.07443124,0.07173995,0.069459595,0.067193575,0.0651292,0.06395515,0.064477235,0.066442244,0.06873625,0.07009269,0.07015983,0.06937122,0.06837763,0.06748596,0.066678815,0.065849744,0.06492918,0.0638544,0.062402267,0.060043823,0.05606011,0.04994592,0.04197021,0.03372576,0.028409146,0.030700678,0.044535875,0.070139386,0.10182563,0.13081221,0.15024596,0.15918611,0.16120595,0.16066395,0.15967183,0.15827507,0.15577216,0.15211542,0.14775707,0.1433202,0.13887794,0.13438928,0.1298913,0.12573645,0.12205338,0.11864343,0.115203686,0.11173642,0.10852765,0.10575509,0.103250444,0.100655,0.097781,0.09479497,0.09197414,0.08947175,0.08718219,0.08498741,0.08282009,0.08064201,0.078257196,0.075510025,0.07263684,0.07058105,0.07046784,0.072750516,0.07635438,0.07936176,0.08044129,0.08011857,0.08046266,0.083754025,0.09259627,0.10965443,0.13681574,0.17133065,0.20546918,0.23038276,0.24246828,0.24489868,0.24321479,0.24073748,0.23754108,0.23346274,0.22992928,0.22974198,0.23446782,0.24261923,0.24964316,0.25092906,0.24483608,0.2335424,0.22056878,0.20802562,0.19584282,0.18315129,0.16981383,0.1568279,0.14545773,0.13628834,0.12865624,0.12129045,0.112779744,0.102216534,0.0892041,0.07476948,0.061727416,0.054703448,0.058164824,0.073399134,0.09583197,0.11611003,0.12629417,0.12621199,0.12380597,0.12851702,0.14494844,0.17226927,0.20603897,0.23900807,0.26107714,0.26425213,0.24841619,0.22240223,0.19794999,0.18342662,0.18288238,0.19610266,0.21919172,0.24397622,0.26315114,0.2733638,0.27545202,0.27002957,0.2567156,0.23628384,0.21192694,0.18744867,0.16466777,0.14400466,0.12554634,0.10992956,0.09697476,0.08565712,0.0744578,0.06285483,0.051432446,0.041252013,0.032875385,0.026240656,0.021078607,0.01743261,0.015988624,0.018418051,0.026698107,0.04169342,0.061666787,0.08300636,0.10215198,0.11726078,0.12796499,0.13457306,0.13767892,0.13814063,0.13690786,0.13460869,0.13162175,0.12818845,0.124626935,0.1212366,0.11830399,0.11595703,0.11414015,0.112670936,0.11141133,0.110276096,0.109146945,0.10806799,0.1077998,0.110381514,0.11830064,0.13173144,0.1458524,0.15140994,0.14100419,0.11507127,0.08339774,0.057744663,0.044726435,0.04270172,0.046450872,0.052036513,0.05838417,0.06532464,0.07141146,0.07522502,0.07642233,0.07635801,0.075100206,0.07199732,0.06751043,0.06772832,0.08042497,0.10968992,0.1494561,0.18954892,0.22137748,0.24390149,0.25890344,0.26936033,0.27661395,0.28192827,0.28457394,0.28234386,0.2730614,0.2581316,0.24330527,0.23487844,0.23399317,0.23436528,0.22715092,0.20817374,0.18127938,0.15488118,0.13641079,0.12836607,0.12766106,0.12697257,0.119067095,0.10133023,0.07813767,0.05719683,0.044150516,0.038945723,0.03764801,0.036137555,0.032886464,0.028701127,0.025080392,0.02279716,0.02212944,0.023820827,0.030150129,0.04320042,0.06299875,0.085580595,0.1061668,0.121533155,0.13215153,0.1391887,0.143384,0.14440447,0.14346343,0.14394127,0.15139127,0.16946714,0.19686842,0.22518893,0.24418502,0.24758206,0.23805194,0.22445236,0.21609879,0.21665646,0.2226557,0.22742474,0.22670634,0.22188674,0.2180001,0.21993679,0.22961318,0.2452293,0.2621875,0.27538726,0.28224903,0.2835357,0.28151426,0.27742425,0.2712362,0.2627188,0.25102904,0.2337877,0.20753635,0.17178082,0.13177826,0.09825957,0.08297091,0.09283251,0.1261702,0.17226501,0.21770303,0.25255346,0.27455795,0.28565368,0.28880444,0.2857698,0.27846888,0.26908413,0.25951317,0.25042766,0.24115594,0.23076613,0.21875846,0.20583862,0.19309597,0.18161255,0.17166828,0.16313642,0.15556718,0.14868824,0.14239348,0.13711508,0.13385783,0.13400404,0.13767517,0.14228427,0.14217858,0.13200693,0.11035976,0.081948586,0.054395836,0.033960786,0.022285512,0.017452262,0.016394423,0.016893344,0.017840361,0.018667003,0.019151414,0.019659251,0.021655597,0.027133143,0.037244335,0.051017363,0.06597055,0.080121696,0.09309032,0.105428964,0.11664114,0.12524857,0.12968594,0.13002563,0.12751882,0.123913616,0.120255135,0.116871916,0.11356894,0.11020555,0.10682597,0.10361224,0.10065668,0.098160416,0.09657052,0.09649696,0.0982309,0.10171928,0.10721851,0.11550558,0.12651306,0.13705115,0.14078273,0.13229321,0.11307681,0.09404736,0.09107381,0.114738055,0.16245423,0.21825016,0.26286188,0.28415558,0.28199837,0.2638855,0.23798363,0.20979495,0.18226822,0.15982689,0.14869773,0.15606219,0.18378572,0.22557636,0.2680244,0.29854104,0.31183234,0.3109019,0.30198666,0.28924695,0.27351388,0.25430325,0.23255026,0.21085334,0.19220392,0.17805727,0.1680185,0.16065593,0.15474157,0.1499055,0.14646631,0.14492029,0.14502785,0.1458232,0.14625962,0.14648794,0.14704558,0.14728749,0.14416386,0.134739,0.119713195,0.1051951,0.0999229,0.109787434,0.13400023,0.16525955,0.19423236,0.21351248,0.2190107,0.2088328,0.18376572,0.14979497,0.11916137,0.106580146,0.12063382,0.15852799,0.20692146,0.25128457,0.2821851,0.29786697,0.29966643,0.2905262,0.2739366,0.25523558,0.23946683,0.23024322,0.22755148,0.22843038,0.22692807,0.21746798,0.19702452,0.16816695,0.13771284,0.1141676,0.102990516,0.10356012,0.109657414,0.1136018,0.113023765,0.11263117,0.12085289,0.14100222,0.1681679,0.1921739,0.20644426,0.21128756,0.21203333,0.21280657,0.21440019,0.21505255,0.21347241,0.20996968,0.20636158,0.20372689,0.20080005,0.19363983,0.17988478,0.161844,0.14698507,0.1419737,0.14894205,0.16422123,0.1820692,0.19657426,0.20393054,0.20302337,0.19611041,0.1869514,0.17865849,0.17239936,0.16789019,0.16429956,0.16072334,0.15648705,0.15136884,0.14579785,0.14053838,0.136325,0.133403,0.1315726,0.13021703,0.12883952,0.12753594,0.12754619,0.12999421,0.13393253,0.13461442,0.12622757,0.106180795,0.078608505,0.05147587,0.03161106,0.020661041,0.016280828,0.015042298,0.014776979,0.01465758,0.014466885,0.014123519,0.01399919,0.015516358,0.021569492,0.03478389,0.055441547,0.07958839,0.10160757,0.11715829,0.12587506,0.12954079,0.13026564,0.12899198,0.12628321,0.122748695,0.11906248,0.11560053,0.112356365,0.10932196,0.106576264,0.10438096,0.102823265,0.10198441,0.1020512,0.10407407,0.109902196,0.121700205,0.13985921,0.16252972,0.18633397,0.20955883,0.23213543,0.2541375,0.27273124,0.2834523,0.28268263,0.269699,0.2457477,0.21295656,0.17503531,0.13834067,0.110588394,0.09671406,0.09555805,0.10186473,0.11163557,0.12594128,0.14773083,0.17638995,0.2053529,0.22707666,0.23854713,0.24324937,0.24673045,0.2524638,0.25987968,0.26661202,0.27040398,0.2704623,0.2670626,0.26127055,0.25447887,0.2479695,0.242449,0.23795927,0.23393236,0.2296681,0.22443783,0.2182743,0.21186851,0.2063827,0.20244135,0.20013344,0.19949035,0.20017098,0.19998236,0.19403017,0.17768301,0.15182911,0.12494189,0.10980359,0.11498171,0.14078039,0.17810409,0.21527062,0.24222104,0.25540495,0.256133,0.2489221,0.23812097,0.22701551,0.21747059,0.2105462,0.20631206,0.20392813,0.20150383,0.1974114,0.19073676,0.18138106,0.1691093,0.15383114,0.13652663,0.11955043,0.10551047,0.095479816,0.08872414,0.08347378,0.07846079,0.07323071,0.06818824,0.06374862,0.0602461,0.05758382,0.055599164,0.053975835,0.05288386,0.05347011,0.058531333,0.070734136,0.0898458,0.10990993,0.121688426,0.11816285,0.100988396,0.08096605,0.073345564,0.088834554,0.12755752,0.17823982,0.22507302,0.2554495,0.26526138,0.25883624,0.24557805,0.23547061,0.23326601,0.23768085,0.24303623,0.24577563,0.2460628,0.24785942,0.25453877,0.26675943,0.28134128,0.29398105,0.30202997,0.30595145,0.30751094,0.30736828,0.30386415,0.29411522,0.2766061,0.25285813,0.22796904,0.20800972,0.19815195,0.19961198,0.20966502,0.22205013,0.23112786,0.23512109,0.23752153,0.24404263,0.25802708,0.27755252,0.2962738,0.30784866,0.31010622,0.30618164,0.30100837,0.29666987,0.29005203,0.27518192,0.24859177,0.21379186,0.18129896,0.16348757,0.16694355,0.18762518,0.21093452,0.21963228,0.20309623,0.16526018,0.12233458,0.09506431,0.09725517,0.12967835,0.18015093,0.23102708,0.2688103,0.28952107,0.29725012,0.29798293,0.29551196,0.29028225,0.28057945,0.26430428,0.24071105,0.2123869,0.18427967,0.16249502,0.15203343,0.15591054,0.17296982,0.19680174,0.21790093,0.22893451,0.22866835,0.22031035,0.20686471,0.18831103,0.16365366,0.13434583,0.10604721,0.08583915,0.07834244,0.08197988,0.090497136,0.09710944,0.10025383,0.104200415,0.114827536,0.13351028,0.15480143,0.17091823,0.17724733,0.17570226,0.17158766,0.17022274,0.17372935,0.18146308,0.19014984,0.19606687,0.19615255,0.18993115,0.17871387,0.16492766,0.15046923,0.13669392,0.12435629,0.11414769,0.10639957,0.10109144,0.09758782,0.095237345,0.093473434,0.09214669,0.0912657,0.09120747,0.09300518,0.09818527,0.107361324,0.11795875,0.12383739,0.11856967,0.10036946,0.0743025,0.04873084,0.030046808,0.020145692,0.018642327,0.025909225,0.04207288,0.064695366,0.08672058,0.10106475,0.10407895,0.09841845,0.08920455,0.081183426,0.07648105,0.07608727,0.08143521,0.09405851,0.11330841,0.133926,0.14797966,0.14955804,0.13903917,0.12208516,0.10525918,0.092306904,0.08430058,0.08190896,0.08603355,0.09610904,0.10820461,0.116498016,0.116720706,0.10875816,0.09588179,0.082398534,0.07242986,0.070168704,0.080142595,0.10511562,0.14295506,0.18512134,0.2198798,0.23863836,0.24071835,0.23244001,0.22137706,0.21147406,0.20279682,0.19527298,0.19045268,0.18984203,0.191454,0.19117439,0.18635525,0.17950474,0.17533053,0.17708035,0.18433197,0.19622791,0.21457808,0.2418368,0.27686384,0.3111825,0.3350251,0.34314847,0.33922493,0.3302758,0.32185468,0.31520954,0.3096962,0.3045256,0.2991819,0.29261652,0.28350767,0.27131948,0.25718445,0.24336226,0.23178388,0.22315763,0.2171771,0.21360385,0.21254879,0.21414472,0.21716595,0.21913101,0.21713257,0.21040498,0.20054154,0.19070095,0.18291087,0.17767541,0.17419755,0.17172897,0.1696072,0.16735375,0.16462933,0.16145395,0.15822716,0.15547389,0.1538204,0.15372263,0.15517889,0.15735666,0.15903549,0.15942179,0.15862161,0.1571572,0.15527815,0.15285333,0.14977121,0.14630927,0.14282858,0.13969709,0.13693987,0.13464594,0.13266224,0.13084058,0.12887554,0.1265795,0.124801524,0.12587352,0.13441585,0.15381609,0.18397944,0.21824746,0.24853568,0.26920405,0.28132936,0.2882359,0.2913547,0.28713727,0.27212545,0.24809833,0.22407632,0.2092417,0.20739488,0.21565102,0.22968334,0.24522907,0.25694224,0.2587338,0.24844998,0.23245807,0.22175516,0.22439082,0.23897393,0.2582365,0.27535546,0.2894809,0.30295452,0.3173528,0.33027485,0.33831525,0.33910766,0.3328123,0.3198997,0.30163667,0.2807871,0.26276547,0.25264087,0.25186095,0.25662458,0.26118508,0.2615626,0.25800183,0.25328755,0.2508915,0.25257012,0.25796068,0.26393488,0.26622126,0.26130286,0.24895926,0.23194335,0.21434933,0.19893926,0.18669154,0.17708899,0.16961022,0.1638617,0.16003953,0.15822117,0.15822537,0.15873532,0.15781015,0.15463275,0.15184979,0.15628223,0.1748826,0.20985012,0.2546175,0.2978057,0.32857636,0.3431014,0.34364185,0.3364646,0.32690528,0.3183109,0.31120682,0.3053905,0.3004383,0.29651305,0.29328534,0.2900225,0.285467,0.27863288,0.2687286,0.2553555,0.23877223,0.2206337,0.20388478,0.19137298,0.18433018,0.18223774,0.18402772,0.18869525,0.19425343,0.19719428,0.19343978,0.18115026,0.1627116,0.1444772,0.13488096,0.13917671,0.15692997,0.18060313,0.201694,0.21486945,0.2208079,0.222764,0.22327483,0.22291179,0.22121088,0.21842207,0.2159956,0.21692882,0.22537477,0.24350514,0.26870963,0.2919534,0.30397573,0.3009496,0.28835595,0.27589104,0.2717287,0.27808738,0.29190218,0.30775926,0.32053837,0.3273108,0.3270302,0.32042912,0.30904806,0.295046,0.2802557,0.26599395,0.2531447,0.24299687,0.23696987,0.23544799,0.23661785,0.23729472,0.23513459,0.22999303,0.22339946,0.21690397,0.21147628,0.20758472,0.20547028,0.20476961,0.20446098,0.20334418,0.20092122,0.19785649,0.19556357,0.19532333,0.19719853,0.19943817,0.19944638,0.19585179,0.1923904,0.19556017,0.2108599,0.2342362,0.2561458,0.26643777,0.2640477,0.2536813,0.24213946,0.23252761,0.2251835,0.21907787,0.21353436,0.20841555,0.20390834,0.20025237,0.19781639,0.19728963,0.19948035,0.20461744,0.2113096,0.21713376,0.2202857,0.22215158,0.22660147,0.23698895,0.25233376,0.26775935,0.27810812,0.28155088,0.2798458,0.27594158,0.27211985,0.26932126,0.26759163,0.26596224,0.26247606,0.2548426,0.24200636,0.22618262,0.21245648,0.20635574,0.21007925,0.22230528,0.24075456,0.2640635,0.29075614,0.31625608,0.33472443,0.34202278,0.33929858,0.3304714,0.319752,0.3092868,0.30029765,0.2939413,0.29105827,0.2912921,0.2920395,0.2905167,0.28486714,0.27670896,0.26849863,0.26292327,0.25941315,0.2568499,0.25338712,0.24941187,0.24452008,0.23806004,0.22797053,0.21424168,0.19857031,0.18399294,0.17178293,0.16161145,0.1519808,0.14222784,0.13219318,0.122424655,0.11313853,0.10467982,0.09710843,0.090761654,0.085977875,0.083227076,0.08239768,0.08263719,0.082476914,0.08107331,0.07863376,0.076205604,0.074238665,0.07239386,0.06989164,0.06664876,0.063138,0.059967805,0.057195824,0.054564893,0.05180438,0.049009588,0.046418373,0.044260282,0.042488385,0.040922817,0.039267976,0.03744323,0.035958037,0.036523905,0.042060014,0.055563748,0.078315966,0.1085755,0.1423408,0.17529601,0.20460331,0.22900762,0.24768727,0.25959,0.26366612,0.26022837,0.25132602,0.24014132,0.229189,0.21977036,0.21248473,0.20859438,0.20920889,0.2141363,0.2229218,0.23742647,0.26373255,0.30288944,0.346586,0.37479973,0.3750634,0.34847856,0.31238684,0.28152177,0.26269683,0.2527698,0.24747294,0.24398775,0.24159767,0.239909,0.2378685,0.23421805,0.22872084,0.22314352,0.21994543,0.21992947,0.22221391,0.22612447,0.23331194,0.24299236,0.24945772,0.24129389,0.2126788,0.16728324,0.118793786,0.078960784,0.05318752,0.03917079,0.032871697,0.030943284,0.031704098,0.034005184,0.036727652,0.038796697,0.039950904,0.04217257,0.050903734,0.07258826,0.11184871,0.16705477,0.23362231,0.30117515,0.35836634,0.3902801,0.39243975,0.37012565,0.34035274,0.31535563,0.30000308,0.29243395,0.29244626,0.3045005,0.32791415,0.35506916,0.3677127,0.35760307,0.32738996,0.2954996,0.2753999,0.27364504,0.2851069,0.3027234,0.3195541,0.33005017,0.32919753,0.31187013,0.2776336,0.2307744,0.18103771,0.13789894,0.11007034,0.10306445,0.11862894,0.15228476,0.19406419,0.23213138,0.2567718,0.2643263,0.25804,0.24695915,0.239049,0.23574525,0.23246072,0.2275511,0.22926497,0.24770243,0.28292847,0.31767568,0.33456507,0.328046,0.30982912,0.29171196,0.27835977,0.26579916,0.25116187,0.23533075,0.22272708,0.2173503,0.2211016,0.23234387,0.24683587,0.2591764,0.26565233,0.26550618,0.26196846,0.2603482,0.26641932,0.280327,0.2960107,0.30130044,0.2888358,0.25934783,0.22346728,0.19165413,0.16987306,0.1571474,0.15002005,0.14638175,0.14702582,0.15468615,0.16983347,0.18949641,0.20808963,0.22224961,0.23259689,0.24254744,0.25557256,0.2737604,0.29916587,0.3298175,0.3588338,0.37293366,0.36446157,0.33543012,0.2993838,0.26867476,0.24944198,0.24063121,0.24081917,0.25191495,0.27462527,0.30334213,0.32305107,0.3212963,0.2967895,0.26253846,0.23299189,0.21510203,0.20783447,0.20915778,0.22073603,0.24089505,0.26162252,0.26738068,0.25035903,0.2152053,0.17988187,0.16062844,0.1633625,0.18163614,0.2031982,0.22075795,0.23410296,0.2494884,0.2688658,0.28876218,0.30071136,0.30012578,0.2875527,0.26835233,0.24952964,0.23910706,0.2461701,0.27390873,0.31569278,0.35232,0.3675095,0.35638165,0.3310764,0.30588138,0.28991663,0.2823281,0.28002882,0.2800065,0.28121006,0.28190193,0.28084573,0.27727005,0.27221203,0.26670256,0.2618887,0.25824335,0.2574556,0.26155648,0.27293542,0.29001203,0.3074268,0.31592777,0.31033924,0.29157618,0.2680641,0.24766038,0.2341143,0.22436184,0.21385168,0.20060164,0.18895859,0.18533747,0.19288544,0.20593412,0.21368949,0.20777476,0.19001849,0.1722367,0.16816883,0.18591963,0.2241267,0.27509364,0.32535973,0.35972533,0.36634636,0.3460677,0.31087264,0.27543324,0.2456028,0.22066015,0.20095842,0.19540258,0.21308522,0.2525142,0.294811,0.31809095,0.31257966,0.28893748,0.26474944,0.25195155,0.2506622,0.25669968,0.26727328,0.2805241,0.29106882,0.2881604,0.26358822,0.21834885,0.1649576,0.11807576,0.086484425,0.06961432,0.06290508,0.06398678,0.07640768,0.10514477,0.150199,0.20131226,0.24456155,0.27044478,0.27984026,0.27793518,0.26841724,0.25373605,0.24092339,0.24349922,0.26917136,0.3116661,0.34980166,0.3679265,0.36387575,0.35032928,0.33757016,0.3294809,0.32283738,0.31534752,0.3068812,0.29926154,0.29393417,0.29114494,0.29040372,0.29111657,0.29301143,0.29552177,0.29835558,0.30208528,0.30847928,0.31845486,0.32999337,0.33895066,0.34183347,0.33876646,0.33149457,0.32124788,0.30718255,0.28878275,0.26684877,0.24255581,0.21572107,0.18502277,0.15139021,0.1198447,0.099560075,0.09865302,0.120579086,0.16025269,0.20691478,0.24880826,0.2810175,0.3081281,0.3361406,0.36362493,0.37721744,0.36728492,0.33663908,0.30188558,0.27600047,0.2613416,0.2537658,0.2532111,0.26719058,0.29843846,0.33892962,0.36842963,0.37408993,0.35743833,0.33531094,0.322207,0.32225144,0.3294439,0.33619723,0.34018588,0.34124556,0.3394337,0.33046314,0.3126109,0.28744265,0.2625582,0.24416213,0.23561768,0.23538427,0.24024718,0.24684353,0.25317726,0.2587886,0.26351893,0.2666544,0.26671088,0.26256415,0.2539828,0.24139999,0.22670889,0.21489652,0.21563582,0.23645635,0.27501938,0.31354997,0.33162677,0.3194865,0.28662184,0.2510743,0.22742754,0.21942277,0.22247165,0.22961177,0.23528455,0.237651,0.23705705,0.23527779,0.23348542,0.23219101,0.23083396,0.22878753,0.22675467,0.22722685,0.23396955,0.24700373,0.2613432,0.2667323,0.2571791,0.23390625,0.2065665,0.18379796,0.16964637,0.16196425,0.15716386,0.15284932,0.14904888,0.14687651,0.14681281,0.14765343,0.14692515,0.14222312,0.13292108,0.12124147,0.11339843,0.119534194,0.15055586,0.2098602,0.28496352,0.35055006,0.38295949,0.3777174,0.34859124,0.3159577,0.29074398,0.27545306,0.26909953,0.2747641,0.29410362,0.32240173,0.3455867,0.35117114,0.33757484,0.3164051,0.300589,0.29420552,0.29162717,0.28571627,0.27607116,0.26730275,0.26402017,0.26356313,0.259902,0.24796711,0.22981064,0.2112261,0.19713576,0.18759362,0.17916667,0.17129159,0.16909973,0.18110882,0.20961404,0.24691641,0.27959403,0.2985331,0.30350628,0.3001326,0.29462406,0.29223362,0.2985057,0.31732818,0.3439711,0.36350992,0.3584981,0.32535097,0.2765468,0.23257749,0.20444681,0.1917566,0.18647164,0.18292846,0.17944734,0.17827874,0.18233348,0.19276392,0.20717078,0.22024144,0.2270655,0.22592469,0.21882339,0.20894629,0.1985408,0.18812901,0.17759831,0.16684909,0.15640949,0.14719923,0.14025092,0.13559051,0.13178091,0.12667774,0.11919189,0.11020381,0.101650394,0.09490129,0.090028726,0.08631784,0.08311615,0.08006505,0.07700237,0.07386679,0.07082454,0.068272226,0.066607915,0.06604806,0.06659892,0.0681408,0.070385024,0.072846465,0.07492581,0.07617857,0.076369755,0.07560951,0.074833386,0.07676771,0.08643791,0.10869363,0.14433342,0.18685715,0.22556765,0.25117004,0.26086184,0.25743678,0.24642454,0.23306136,0.22146972,0.21391736,0.21099478,0.21148427,0.21315128,0.21307904,0.20952566,0.20340025,0.19845574,0.19890356,0.20619869,0.21839826,0.23142576,0.24191439,0.24804533,0.24936755,0.24530716,0.23449028,0.21598949,0.19125746,0.16642226,0.15184642,0.16017473,0.19961822,0.26558158,0.33835307,0.39211452,0.4131471,0.40606585,0.38794443,0.3716531,0.36148444,0.35493317,0.34998593,0.345795,0.3423446,0.33951274,0.33729246,0.3358283,0.3344332,0.3319347,0.3270974,0.3204893,0.31440333,0.31210575,0.3141441,0.31702396,0.31395844,0.3007408,0.2784518,0.25310853,0.23040049,0.21342985,0.20243053,0.19688009,0.19629253,0.20133495,0.21358077,0.23430514,0.26184955,0.29103377,0.31541836,0.33091328,0.33781326,0.33929002,0.34045553,0.3462247,0.3614832,0.38399684,0.40432,0.40655696,0.38381135,0.3405385,0.29184666,0.24897026,0.21739717,0.19884501,0.19802545,0.22229694,0.27070123,0.329699,0.37318864,0.38448262,0.36285186,0.32622948,0.29129338,0.26800296,0.25688004,0.25684285,0.2667185,0.28333747,0.3004356,0.31004235,0.30920288,0.3010722,0.29176602,0.2832168,0.27202097,0.25466558,0.23341028,0.21819325,0.21927671,0.23974617,0.27019083,0.2958372,0.30624986,0.30317768,0.29627466,0.2942551,0.30001283,0.31294456,0.33532062,0.367112,0.40299323,0.42788056,0.43301132,0.41944918,0.3998939,0.38115242,0.36196658,0.33569834,0.3022635,0.27041638,0.2529155,0.2577627,0.2830665,0.3180461,0.3497002,0.36849532,0.37173188,0.36101672,0.34082755,0.3169793,0.29726997,0.2878083,0.2900927,0.29911566,0.3089985,0.31514493,0.3149861,0.30396616,0.27884308,0.24171968,0.20195337,0.16997595,0.1515951,0.14722657,0.15711544,0.18157585,0.21933217,0.26208434,0.29998454,0.32495406,0.3382651,0.3464543,0.360363,0.38344955,0.4102745,0.42455915,0.41636539,0.38662586,0.34951556,0.31610167,0.29061618,0.2711346,0.25928354,0.26390627,0.28997836,0.33047557,0.3604168,0.360978,0.3302679,0.28988686,0.26025328,0.25175846,0.2607049,0.2809752,0.30653915,0.33077428,0.3455383,0.34310913,0.3225331,0.2897687,0.25633812,0.23156905,0.21898277,0.21476568,0.21236002,0.20913064,0.20945448,0.22129868,0.24735057,0.28135678,0.31258455,0.3341123,0.34613827,0.3519517,0.35541603,0.36010733,0.37266123,0.39408687,0.41811097,0.4278411,0.41547957,0.38392618,0.3492497,0.3208667,0.30216318,0.28985974,0.28388664,0.28462455,0.29156387,0.3002276,0.304992,0.30134618,0.28889903,0.27017576,0.24945833,0.22946908,0.21251291,0.20098376,0.20046657,0.21509103,0.24432051,0.278079,0.30455574,0.31597626,0.31444618,0.305601,0.2943636,0.2814286,0.2659048,0.24673903,0.22373939,0.19757257,0.17003207,0.14417768,0.123926364,0.11323029,0.11482588,0.12766455,0.14730366,0.16927116,0.1961749,0.23459844,0.2860525,0.3374612,0.36945382,0.37097558,0.34712362,0.31169832,0.27579105,0.24676602,0.23144446,0.2392834,0.2718843,0.31664446,0.34759307,0.34637728,0.3163365,0.28094444,0.26170626,0.26264754,0.2729279,0.28147987,0.28744367,0.2953217,0.30673397,0.31421766,0.30875492,0.28637052,0.25350174,0.22027938,0.1949966,0.1790672,0.17020233,0.1665558,0.17057164,0.18564324,0.21103561,0.23830056,0.25743103,0.26303694,0.25837132,0.2494707,0.24234007,0.24121986,0.25190094,0.27644768,0.30824474,0.3303152,0.32804826,0.30105284,0.2640237,0.23409401,0.2184241,0.21369946,0.2126254,0.21132363,0.21024275,0.21191289,0.21737541,0.22453947,0.22974296,0.23035991,0.22643335,0.21969323,0.21276933,0.20902471,0.21260472,0.22421946,0.23871583,0.24475712,0.23456062,0.2085536,0.17718022,0.15081888,0.135359,0.12947582,0.1298349,0.132823,0.13635926,0.13837056,0.13719152,0.13141705,0.121414006,0.10989195,0.10191365,0.10366634,0.1188212,0.14876412,0.19161774,0.24685924,0.30759048,0.36087492,0.38510752,0.36948395,0.31884924,0.25601962,0.20217334,0.1694711,0.1592527,0.17122512,0.20698851,0.2631953,0.32632583,0.37326792,0.38933262,0.37646067,0.35260177,0.33396736,0.3271698,0.32876614,0.33300412,0.33638576,0.33710352,0.33505988,0.32934913,0.32085362,0.31016698,0.299523,0.29065964,0.28681096,0.29019183,0.30083242,0.31414375,0.32358482,0.3238505,0.31404793,0.2972637,0.27891362,0.2645116,0.25808448,0.26097205,0.27277002,0.29213643,0.31947085,0.35134983,0.3801639,0.3918079,0.38042626,0.35056487,0.3181741,0.29405144,0.2810723,0.27448124,0.27087522,0.2691144,0.26901612,0.26895925,0.26666245,0.26105908,0.25314605,0.2450229,0.23833537,0.23356652,0.2312547,0.23287237,0.2401632,0.25103474,0.25848413,0.25311074,0.23152988,0.19860269,0.16551685,0.14139731,0.1304955,0.1314076,0.1409583,0.15620239,0.17634468,0.2006581,0.2264549,0.24707997,0.25604966,0.25125524,0.2387172,0.22780657,0.22773893,0.24285948,0.27600476,0.32224676,0.37034726,0.40016046,0.40118885,0.37499008,0.33710548,0.29774657,0.2612203,0.2286851,0.20933492,0.21544547,0.24908942,0.29507682,0.32759655,0.33205545,0.31156984,0.28350878,0.2606264,0.24733216,0.24076456,0.24044156,0.24827176,0.2657672,0.28802523,0.30525717,0.30798927,0.2938806,0.26771095,0.2375775,0.2101705,0.18943505,0.17814548,0.17983736,0.19788335,0.2318517,0.27363953,0.31098157,0.333902,0.3414797,0.33886704,0.33146074,0.32217,0.3141942,0.31646457,0.3337995,0.36162695,0.3794922,0.3735218,0.3434285,0.30745634,0.27973494,0.26519588,0.25829032,0.25478002,0.25325087,0.25443676,0.25764897,0.26114467,0.2626253,0.26138434,0.2580295,0.25460067,0.2523096,0.2522937,0.25542298,0.26407215,0.27755392,0.2912811,0.29546785,0.28500128,0.2621114,0.23733626,0.21929683,0.21120106,0.21019447,0.21262635,0.21693629,0.223823,0.23418395,0.24611,0.25502682,0.2565621,0.2508458,0.24278246,0.23785138,0.23906559,0.24712749,0.26541734,0.2956301,0.33312714,0.36069462,0.36114237,0.32807264,0.27306798,0.21439408,0.16638543,0.13625453,0.12887318,0.15170611,0.20442621,0.27202985,0.32317558,0.33512756,0.30813757,0.26632264,0.23323087,0.21766657,0.21544002,0.22126448,0.23650219,0.26273128,0.29755348,0.33000448,0.35058138,0.35526302,0.35020873,0.34269843,0.337357,0.33270562,0.32606456,0.31629658,0.30569646,0.29836026,0.2973586,0.30270734,0.31109655,0.31831464,0.3213378,0.31988308,0.3166823,0.3175174,0.32950985,0.35450783,0.38384894,0.39933088,0.38705656,0.34850577,0.3004018,0.26042625,0.2356448,0.22229765,0.21385176,0.20734547,0.2029671,0.2007273,0.19881922,0.19494449,0.18850672,0.18084961,0.17405172,0.16945212,0.16849528,0.17332031,0.1872194,0.20922256,0.23261337,0.24475217,0.23907095,0.21892637,0.19826119,0.18720424,0.18690307,0.18864232,0.1853733,0.1766663,0.17009473,0.17364234,0.19000669,0.21261418,0.2302867,0.2348768,0.22791089,0.21735306,0.21090198,0.21252954,0.22641553,0.25702435,0.30191946,0.34614107,0.36991358,0.36541733,0.34251216,0.31916097,0.30582067,0.30148575,0.29973486,0.29567853,0.28872144,0.2798393,0.27053893,0.2600491,0.24734928,0.23217548,0.21803223,0.20988917,0.21232378,0.22746418,0.25629127,0.29567406,0.33565542,0.3596551,0.35560372,0.32528886,0.28403744,0.24818803,0.22475022,0.2111352,0.20157957,0.1925847,0.1834476,0.17513265,0.16879754,0.16531235,0.16460095,0.16622382,0.169352,0.17363648,0.17852674,0.1858784,0.20025377,0.22901262,0.27142453,0.3156934,0.34022185,0.33453152,0.3041356,0.26892677,0.24263085,0.22929049,0.22377972,0.22202398,0.22143193,0.2213031,0.22037406,0.21816832,0.21451396,0.2103715,0.20638818,0.20317917,0.20048666,0.1980171,0.19530576,0.19217616,0.18863527,0.18490265,0.18141536,0.17846292,0.17613088,0.17407535,0.1718499,0.1691057,0.16584386,0.16237919,0.15914227,0.15634471,0.15394221,0.15161788,0.14936352,0.14750014,0.1469503,0.14838444,0.15187167,0.15631177,0.16026483,0.1629541,0.1655681,0.17085816,0.18129134,0.19630869,0.21183066,0.22255874,0.22560348,0.22215277,0.21597618,0.21080284,0.20835881,0.20860071,0.2107562,0.21408111,0.21775804,0.22019835,0.21972124,0.21525495,0.20786749,0.20115624,0.20114958,0.21355106,0.23774825,0.26441967,0.2788316,0.27267817,0.24828231,0.2165582,0.18695574,0.1653982,0.15377395,0.15225776,0.15690702,0.16175246,0.1610636,0.1536709,0.14145659,0.12774107,0.114494465,0.10257595,0.09177756,0.0846094,0.08824372,0.11604033,0.17387605,0.25225806,0.32133353,0.35568655,0.34822702,0.3179712,0.28812456,0.2736186,0.27462175,0.28448555,0.29539812,0.30188677,0.30220068,0.29725006,0.28871924,0.27713212,0.26264685,0.24690057,0.23355187,0.22768742,0.23355468,0.25287482,0.28055784,0.3056716,0.3146774,0.30179203,0.27069086,0.23223864,0.194737,0.161736,0.1329567,0.10859927,0.089751475,0.07689566,0.06864578,0.062182873,0.055468906,0.048848543,0.045961704,0.052910585,0.07481963,0.11385826,0.1669961,0.23074035,0.29661295,0.35316715,0.3817145,0.37288365,0.32961598,0.27047774,0.21185942,0.16317616,0.1281853,0.11360211,0.13121933,0.18355872,0.25705895,0.3193442,0.34602225,0.33257493,0.29959616,0.2683048,0.24982232,0.24241233,0.24336033,0.25275752,0.26903546,0.28502622,0.28871855,0.2744653,0.24675052,0.21893238,0.20107156,0.19430201,0.19244254,0.19003864,0.18888392,0.19436832,0.21056859,0.23347111,0.25531086,0.26843464,0.2713236,0.26628432,0.25714925,0.24783553,0.24419348,0.2560714,0.28826234,0.3344412,0.3721923,0.38213274,0.35859016,0.3170832,0.2765613,0.2497698,0.2366247,0.23148866,0.22784734,0.22252484,0.21565676,0.20920093,0.20452105,0.20143014,0.19905807,0.19714296,0.19611926,0.19726513,0.20204313,0.21241868,0.22590566,0.23539273,0.22893465,0.20170224,0.15799625,0.11194059,0.0745839,0.050790418,0.037864693,0.03212512,0.030842895,0.032530386,0.035410006,0.036949024,0.035446703,0.03166571,0.029997712,0.037723765,0.061189163,0.1031554,0.16050673,0.22853772,0.29886818,0.3590344,0.38978925,0.37720546,0.3227295,0.24590188,0.17152208,0.11664679,0.08881265,0.09078858,0.126312,0.19303472,0.2768086,0.3497717,0.38751402,0.38350165,0.35377684,0.32094383,0.29945925,0.29085928,0.29096285,0.29685983,0.30628982,0.31570566,0.31843102,0.31097472,0.2946044,0.27616322,0.2607728,0.24968983,0.23982841,0.22792952,0.2128281,0.19575892,0.17932421,0.16570307,0.15662053,0.15295331,0.15561579,0.1638137,0.17556106,0.18846095,0.20493913,0.23215894,0.2759203,0.3296899,0.3738474,0.3885385,0.37009987,0.33285436,0.29652157,0.2714984,0.25715888,0.24783117,0.23991887,0.23259802,0.2265278,0.2217958,0.2176684,0.21288143,0.20681906,0.19985332,0.19316714,0.18875057,0.18921798,0.19777708,0.21310122,0.22809732,0.22970115,0.21057229,0.17288129,0.12955871,0.09232867,0.06701222,0.051755656,0.04295714,0.038120534,0.036413062,0.036990356,0.038011163,0.037547875,0.035254776,0.033761475,0.03828909,0.054038495,0.08302715,0.12401816,0.17514354,0.2352376,0.2969137,0.34416747,0.35716704,0.33115664,0.27917397,0.22538354,0.18500914,0.16334617,0.16023618,0.17934775,0.22282092,0.28143233,0.332778,0.35301605,0.33695388,0.29938984,0.26392698,0.24290901,0.23669255,0.23912783,0.24732856,0.25843716,0.26747373,0.265605,0.24838002,0.2187288,0.18716268,0.16286261,0.14992662,0.1459629,0.14713371,0.1507222,0.15777844,0.17002623,0.18776353,0.20641357,0.2206314,0.2269746,0.22698836,0.22326072,0.2178715,0.2136473,0.2181216,0.24221504,0.28808415,0.341742,0.3766711,0.37702057,0.34779772,0.31103253,0.28370848,0.2703699,0.26520136,0.26231897,0.25813517,0.25147498,0.24233301,0.23173489,0.22088979,0.21058805,0.20130499,0.19355278,0.18848044,0.18826245,0.19592734,0.21229346,0.23246348,0.24546741,0.24090801,0.21709155,0.18304984,0.15177464,0.13135254,0.12206098,0.11947059,0.11911038,0.11848098,0.11713257,0.11592326,0.11587599,0.11760425,0.12161547,0.13044989,0.14783828,0.17567863,0.21119995,0.24954617,0.28996837,0.3317517,0.37031388,0.3907813,0.3845259,0.35373688,0.3154193,0.2821118,0.25910643,0.24558155,0.24535348,0.26577052,0.3059154,0.35165873,0.3789297,0.37608734,0.34843397,0.3154219,0.28961495,0.27353355,0.26237142,0.25447705,0.25292167,0.25997463,0.27337822,0.2838304,0.28398383,0.27151465,0.25326142,0.23748052,0.23089808,0.23458849,0.24586089,0.25950432,0.26967943,0.27203616,0.26451162,0.24927641,0.23187707,0.22003978,0.21885444,0.2279102,0.24307163,0.26169196,0.28770033,0.3226963,0.3608317,0.3836795,0.379944,0.35082626,0.31463146,0.28638974,0.273993,0.27414253,0.28199944,0.29188284,0.2998836,0.30276868,0.29903963,0.28876042,0.2739139,0.25850064,0.24744777,0.24483013,0.25198153,0.26710784,0.28638303,0.3044236,0.31632277,0.31794146,0.3087763,0.28989032,0.2633405,0.2303502,0.19447684,0.16261463,0.14205812,0.1350969,0.13700674,0.1397322,0.13676475,0.12536742,0.108172685,0.0932686,0.09373108,0.11989453,0.1730842,0.24257897,0.31416246,0.3744873,0.4137626,0.42214575,0.39683715,0.34551513,0.28551,0.23093198,0.18700866,0.15465152,0.13931654,0.15323289,0.20145313,0.2732009,0.3391342,0.3743151,0.37072587,0.3432227,0.31021184,0.28345296,0.2644966,0.25272003,0.24933136,0.2536095,0.26085627,0.26110306,0.24829082,0.22250126,0.19264235,0.16925283,0.16118266,0.17009161,0.1903634,0.21272969,0.23034304,0.24277858,0.25211117,0.25968337,0.2639972,0.26471755,0.26291972,0.26043943,0.25871766,0.26064053,0.27324858,0.30049673,0.3379152,0.36778888,0.37570152,0.35931852,0.33319536,0.31178614,0.30149427,0.29832047,0.29673946,0.29323077,0.28661764,0.27632257,0.26262516,0.24734007,0.2333378,0.22302866,0.21693407,0.213883,0.213239,0.2162869,0.22628565,0.2413907,0.25320077,0.24711788,0.21709359,0.16851865,0.118091516,0.078298256,0.05368009,0.040240336,0.03348574,0.030728819,0.030999685,0.032962073,0.034270357,0.033063482,0.029499618,0.0270855,0.031990856,0.050643083,0.0867246,0.13982862,0.20689213,0.2810499,0.34913957,0.39156535,0.3923554,0.35033777,0.280965,0.20599252,0.14190121,0.09795799,0.08041919,0.09658259,0.14859253,0.22457333,0.29664055,0.33613542,0.33369136,0.3038131,0.2713474,0.25172535,0.24792159,0.25527707,0.27019063,0.28740314,0.29989645,0.2988902,0.2819679,0.25404274,0.22550315,0.20306422,0.18744703,0.17467447,0.1631325,0.1563295,0.16174419,0.18406288,0.22061877,0.2606748,0.29172054,0.3054249,0.3014361,0.28491747,0.26350775,0.24561794,0.24116702,0.25950292,0.30089286,0.35176945,0.3888178,0.3971943,0.37860176,0.3488513,0.3211756,0.3005235,0.2844727,0.27075222,0.25886,0.24907537,0.24114376,0.23444211,0.22904898,0.22527845,0.22308117,0.22137831,0.21973126,0.21985316,0.22583544,0.2394455,0.25554335,0.26207253,0.24862443,0.21514492,0.1722642,0.13282482,0.10411758,0.08821046,0.08718217,0.10388371,0.13874793,0.18343209,0.22395241,0.2446201,0.23930818,0.21302009,0.18305625,0.166623,0.17228524,0.1948083,0.22493438,0.2587333,0.29587868,0.33148673,0.35250852,0.35166028,0.3338077,0.31346965,0.29814935,0.28657317,0.27556327,0.27067557,0.2831429,0.31553456,0.354023,0.37303936,0.35816202,0.31540278,0.2686003,0.23768844,0.2297855,0.23839824,0.25444034,0.27021536,0.2799593,0.2769797,0.25610518,0.21830772,0.17353904,0.13667272,0.119103946,0.12222717,0.13789417,0.1553389,0.1694264,0.18195303,0.1976945,0.21724999,0.23694758,0.25098234,0.25649127,0.25403017,0.24697477,0.24137755,0.2451169,0.26759794,0.30835283,0.35449353,0.38097584,0.37411904,0.3383001,0.2954999,0.2626493,0.24498439,0.23726338,0.23396187,0.23276514,0.23275484,0.23367369,0.23451209,0.23523228,0.23527814,0.23479933,0.23334964,0.23158939,0.23094593,0.23479396,0.24548616,0.25996587,0.2679131,0.25658634,0.22193818,0.17238629,0.12492532,0.09365774,0.08416895,0.09264054,0.10968697,0.12581939,0.13630372,0.142877,0.14899063,0.15423846,0.15445147,0.14773567,0.14031528,0.14263432,0.16300988,0.20156956,0.25522673,0.3164626,0.37491038,0.41252875,0.41596368,0.3825647,0.32629135,0.26570964,0.21688509,0.1890226,0.18676889,0.21211167,0.25884333,0.31182507,0.3469617,0.34838995,0.31612405,0.26868817,0.22652476,0.20261483,0.19942337,0.21451832,0.24427764,0.28091273,0.3129636,0.32601407,0.31400505,0.28126228,0.24254328,0.2107271,0.19239265,0.18613379,0.18857288,0.19740231,0.21156926,0.22935532,0.24625118,0.2573302,0.25889897,0.2519509,0.24001993,0.22962475,0.2274977,0.24099998,0.27399993,0.32258943,0.3730646,0.406253,0.41095257,0.3903414,0.36042812,0.33513525,0.3184129,0.30473316,0.2881823,0.2685336,0.2506409,0.2403859,0.240088,0.24740577,0.2567533,0.2626822,0.2627466,0.2580371,0.2525731,0.25100297,0.25709012,0.26853883,0.2770777,0.27020755,0.24338265,0.20277911,0.16401012,0.13796471,0.1259223,0.12002913,0.11394402,0.10780684,0.10757578,0.11727575,0.13471548,0.15252602,0.1650461,0.1727835,0.18261038,0.20148325,0.23231602,0.27211788,0.3170744,0.36180687,0.39899006,0.41661692,0.40682003,0.37207782,0.32580718,0.2810602,0.24331367,0.21368633,0.197652,0.20726095,0.24836288,0.30923995,0.36065367,0.3773745,0.35530245,0.3131318,0.27363726,0.24851413,0.23718691,0.23542708,0.24269295,0.25813308,0.27707422,0.28807238,0.2827576,0.26005062,0.22893764,0.19872898,0.17495437,0.15686904,0.14279304,0.13330297,0.13296747,0.14618391,0.17249364,0.20408988,0.23104317,0.24677403,0.25174037,0.24943942,0.24477775,0.24311572,0.2531947,0.28200495,0.32632908,0.36816314,0.38495955,0.36809084,0.32874957,0.28828484,0.26000234,0.2448736,0.23642813,0.22979099,0.22338934,0.21759565,0.21269327,0.20840923,0.20424151,0.19967961,0.19443281,0.18851708,0.18341194,0.18243338,0.19036056,0.20758045,0.22720103,0.2347502,0.2196753,0.18197079,0.13431706,0.09096102,0.060420025,0.042431016,0.033088576,0.028772777,0.027691485,0.028679304,0.030207818,0.030678257,0.02988107,0.030556932,0.038653936,0.060623765,0.09879154,0.15020269,0.20896637,0.2707532,0.32744685,0.36569834,0.3679782,0.32977775,0.26247698,0.1897658,0.12936588,0.09014073,0.07517436,0.08981758,0.13841043,0.21213625,0.2862055,0.3293189,0.32965896,0.29934624,0.26635268,0.24849963,0.24942686,0.26171577,0.28073364,0.3040237,0.32863486,0.34546062,0.3451899,0.32463256,0.29173565,0.2585564,0.23362322,0.21683222,0.20440114,0.19520365,0.19437058,0.20760761,0.23433773,0.2645025,0.28602728,0.29232368,0.28628913,0.27490953,0.26441827,0.25882486,0.2629675,0.2841631,0.32395533,0.37262645,0.40807652,0.41480598,0.39275655,0.3590676,0.3295205,0.31122229,0.3013312,0.29568198,0.29166663,0.28812185,0.28382418,0.2776959,0.27016142,0.26340958,0.25989264,0.26044786,0.263674,0.26743343,0.2702013,0.27172267,0.27223545,0.27189806,0.27049085,0.26814726,0.26627293,0.2672621,0.27281561,0.28162837,0.28969443,0.2923551,0.28730607,0.27527496,0.259571,0.24447346,0.23372166,0.22867124,0.22754769,0.2266525,0.22251773,0.21618497,0.21404195,0.2286397,0.26595253,0.32001677,0.3676765,0.39032486,0.38298357,0.36092368,0.34002924,0.32896268,0.32496324,0.32206568,0.31542554,0.30410686,0.29141232,0.28222466,0.2793407,0.2809695,0.2829157,0.2821416,0.2786368,0.27395153,0.26927373,0.26467404,0.25969887,0.25410068,0.2477932,0.2409534,0.23366638,0.22637105,0.21967858,0.21456347,0.21176217,0.2116301,0.21408124,0.21905296,0.22630312,0.23496751,0.24304694,0.24816197,0.24852626,0.24397443,0.2357802,0.22831343,0.22893198,0.247588,0.2854631,0.33049428,0.3569176,0.3482839,0.30731168,0.25735325,0.21898736,0.20026982,0.1952436,0.19600771,0.19719236,0.19717479,0.1954742,0.19244255,0.18830079,0.18367545,0.1788973,0.1746975,0.17136456,0.16926761,0.16810422,0.16752505,0.16711213,0.16701458,0.16734745,0.16782387,0.16787644,0.16730398,0.16645819,0.1655888,0.1647468,0.16374327,0.16259758,0.16112334,0.15930821,0.15707497,0.1546899,0.15221228,0.14991246,0.14783919,0.14612614,0.14447938,0.14298946,0.14233856,0.1444666,0.15104085,0.16180874,0.17300363,0.17946558,0.17817903,0.1708691,0.16223077,0.15602006,0.15301974,0.15215145,0.15362649,0.15878002,0.16791944,0.17656349,0.17721725,0.1638865,0.13754578,0.10542056,0.07769727,0.06352477,0.0706253,0.1009581,0.14791508,0.19375597,0.22104232,0.22138442,0.20189506,0.17535485,0.15370424,0.14193732,0.14106944,0.14775752,0.1582761,0.16925447,0.18060969,0.19116779,0.19784439,0.19525419,0.18168803,0.16046095,0.1391352,0.12667784,0.13287576,0.1665829,0.22683318,0.29838344,0.35509515,0.3802426,0.37462172,0.354828,0.33491537,0.32103446,0.31147563,0.30407882,0.29749677,0.29144502,0.28621218,0.282679,0.2816261,0.28303877,0.28590488,0.28936824,0.2935358,0.29955176,0.30846652,0.3188072,0.32667413,0.3268189,0.31759623,0.30189362,0.28631485,0.27603483,0.2723764,0.27246523,0.2714829,0.26561862,0.25471288,0.2434756,0.23882842,0.24514401,0.26051354,0.27868542,0.29354683,0.30343148,0.31037462,0.31901303,0.3337742,0.3569592,0.38314006,0.4006436,0.39704677,0.37162724,0.33337653,0.29528585,0.26278368,0.23781689,0.22333007,0.22742182,0.25664416,0.3049586,0.35345194,0.37772846,0.36929688,0.33658493,0.30032945,0.27337062,0.25994834,0.25688958,0.26242876,0.27401468,0.28737506,0.2950051,0.29147458,0.27642915,0.25596407,0.23750724,0.22595268,0.22088648,0.21904342,0.21783455,0.21903129,0.22690678,0.24385889,0.26546088,0.28296676,0.28833714,0.28007078,0.26205716,0.2407827,0.22310746,0.21707916,0.23227759,0.2706466,0.3220195,0.36254764,0.3755425,0.35875586,0.3285756,0.29985103,0.28079543,0.26910022,0.26162264,0.2558349,0.25125352,0.24746744,0.24425037,0.24167283,0.23996705,0.23917986,0.23898846,0.23969507,0.24296026,0.25135013,0.26526007,0.28033137,0.2883986,0.28319278,0.2657384,0.24385059,0.22623535,0.21668287,0.21355782,0.21271373,0.21085675,0.20709278,0.2035693,0.20356594,0.20847084,0.21493132,0.21791784,0.21550582,0.21223766,0.21459788,0.22761403,0.2524444,0.28985617,0.33360395,0.37049997,0.37980878,0.35309425,0.2967988,0.23227686,0.17555605,0.135346,0.11423301,0.11780929,0.15254293,0.21346588,0.28047034,0.32271513,0.325295,0.29483703,0.25676763,0.22921838,0.21806365,0.21866798,0.22856207,0.2478755,0.2736129,0.2957205,0.300296,0.28092167,0.24297166,0.20145744,0.17054187,0.15702666,0.15877849,0.16890794,0.18306392,0.20100193,0.22509158,0.25234595,0.27631518,0.2899063,0.29292437,0.28890947,0.28259394,0.27788404,0.28037378,0.29872385,0.33368778,0.37478307,0.3985767,0.3927597,0.36068687,0.32331893,0.2956278,0.28266612,0.27861515,0.27781448,0.27713063,0.27589715,0.27447513,0.2728882,0.271243,0.269163,0.2668618,0.2648287,0.26426485,0.2666676,0.27362832,0.2858496,0.29991445,0.308707,0.30333754,0.28217542,0.2512268,0.22194101,0.20079482,0.18817127,0.1799293,0.17338222,0.16828525,0.16582043,0.16661064,0.16974755,0.17334807,0.17605247,0.17884856,0.18566799,0.20050086,0.22554702,0.25931397,0.30042928,0.34380445,0.38112888,0.39750147,0.38468418,0.3447361,0.29331812,0.24560565,0.21145649,0.19342138,0.19300024,0.21317793,0.2532172,0.30500078,0.35035095,0.37415314,0.37139848,0.35187936,0.3284944,0.3102889,0.29941964,0.29521343,0.29798746,0.30598912,0.31541988,0.318135,0.310676,0.29457578,0.27812588,0.26694214,0.2624855,0.2611121,0.25932798,0.25653887,0.2556985,0.26067355,0.27227113,0.28694633,0.29904732,0.30428758,0.30125976,0.2902418,0.27413738,0.26020443,0.26112306,0.28540877,0.32789025,0.36622265,0.37796736,0.3567364,0.31723073,0.27932313,0.2536442,0.23830761,0.22700252,0.21612437,0.20576197,0.19766079,0.192966,0.19153605,0.19196497,0.19249415,0.19200103,0.19034787,0.18937396,0.19293828,0.20643096,0.2295046,0.25296807,0.2594472,0.23878603,0.19488525,0.14549583,0.106245615,0.083367564,0.07316445,0.0701872,0.071020514,0.07457858,0.0800306,0.085844815,0.09008143,0.09188727,0.093116455,0.09867853,0.114257514,0.14238203,0.18196996,0.23032378,0.28575143,0.3419578,0.38602543,0.40157166,0.38458,0.3467234,0.30989704,0.2878673,0.2828698,0.28877768,0.30293423,0.32629445,0.35744977,0.38630745,0.39807042,0.3861376,0.35624707,0.32187453,0.29277945,0.27365157,0.26640487,0.2723706,0.28952017,0.30984202,0.32181653,0.3161014,0.2912692,0.25351936,0.21324377,0.18072666,0.16411953,0.16665868,0.18434954,0.20811047,0.22898327,0.2432776,0.25036913,0.25064015,0.24332194,0.22911394,0.2101479,0.19085044,0.17865872,0.18366508,0.21522093,0.27035975,0.33195233,0.37324783,0.3806601,0.3598163,0.33288333,0.3164809,0.31447867,0.3187256,0.32065403,0.31680205,0.3090744,0.30127093,0.295022,0.28908163,0.2807614,0.26942217,0.2572839,0.24843699,0.24635226,0.2532976,0.26902595,0.28976092,0.3070754,0.31185547,0.2997454,0.27479684,0.24574788,0.22033913,0.20137687,0.1885733,0.18100126,0.17942457,0.1844144,0.19481419,0.20572108,0.21166474,0.21025099,0.20534144,0.20404261,0.21135099,0.22830947,0.25391495,0.28970143,0.3321594,0.3703812,0.3839071,0.36321917,0.31339586,0.25516,0.203699,0.16634053,0.14470339,0.14487654,0.17671335,0.2376241,0.30812833,0.35293758,0.354014,0.31660593,0.2698415,0.23471309,0.21877427,0.21581666,0.22086151,0.231068,0.24201477,0.24537621,0.23190552,0.20061003,0.1597519,0.124515325,0.10796184,0.11661466,0.14693564,0.18701935,0.22343926,0.24908216,0.26635668,0.27966556,0.2893554,0.2909972,0.28305098,0.2701414,0.26049247,0.26147592,0.27666178,0.30892813,0.35312656,0.39756444,0.42039284,0.41108274,0.37223062,0.32392928,0.2819674,0.25528198,0.24212034,0.2390902,0.24167056,0.24669988,0.25201538,0.25644377,0.2583406,0.2558355,0.24843538,0.2379874,0.22775406,0.22107579,0.22066258,0.22833987,0.24118559,0.25173116,0.24893256,0.22894664,0.19587094,0.16152728,0.13401361,0.11665248,0.10742647,0.10457928,0.106820166,0.112957545,0.120567046,0.12630111,0.12792008,0.12584326,0.123681635,0.12642072,0.13740158,0.1586244,0.19144654,0.23995169,0.30185983,0.36490142,0.40427125,0.4043287,0.36801136,0.31861266,0.27724823,0.2529893,0.24344224,0.2470693,0.26811817,0.30715963,0.3522502,0.37719035,0.36239573,0.3090317,0.24051137,0.1815236,0.14359193,0.12515943,0.12194217,0.13503075,0.1650741,0.2076749,0.24829654,0.27361763,0.27728975,0.265975,0.24916846,0.23412721,0.22114463,0.20911844,0.19914818,0.19599982,0.20369571,0.22025435,0.23789185,0.2479835,0.24698488,0.23607303,0.21781719,0.1959945,0.17909922,0.1830955,0.22051549,0.2872452,0.3559877,0.3950578,0.39032185,0.3546255,0.31197453,0.27916655,0.25935802,0.24865423,0.24306142,0.24014443,0.23829709,0.23645444,0.23426926,0.23185618,0.22955798,0.22783415,0.22688104,0.22706108,0.22922726,0.2356398,0.24674134,0.25966012,0.26720378,0.2647235,0.2530669,0.23927087,0.22925623,0.22468816,0.22297406,0.22178139,0.22104411,0.22216886,0.22573255,0.23040591,0.23398495,0.23491971,0.23303747,0.2289144,0.22305582,0.21654235,0.21381122,0.22400509,0.25652546,0.30859903,0.3609022,0.38579735,0.37140918,0.32846507,0.2826764,0.25111368,0.23627788,0.2295114,0.22275136,0.21269895,0.20073883,0.19063854,0.18469726,0.18279326,0.18216081,0.18059193,0.17736967,0.17482245,0.17917497,0.20021659,0.24475579,0.30584526,0.36115012,0.3850473,0.3694332,0.32766056,0.28356215,0.25183633,0.23389697,0.22305061,0.21464466,0.20926724,0.2101383,0.2184627,0.22987069,0.23726048,0.23422961,0.2195319,0.19610196,0.1713169,0.1563916,0.16531225,0.20801859,0.27726546,0.34789297,0.3872998,0.3833517,0.3474903,0.3069438,0.2779081,0.26349735,0.25660267,0.25262815,0.24957119,0.24754123,0.24630284,0.2455327,0.24505256,0.24487151,0.24506593,0.24540025,0.24526614,0.24389349,0.2408097,0.23606528,0.23025043,0.22428977,0.21920328,0.21576677,0.21417715,0.21382953,0.21347149,0.21191733,0.20889115,0.205325,0.2025656,0.20119576,0.20045042,0.19889742,0.19563381,0.1910099,0.18622439,0.18230896,0.1798997,0.18006378,0.18578266,0.20069404,0.22598095,0.25655517,0.28272235,0.29521802,0.29113683,0.27411243,0.2507935,0.22646113,0.20443188,0.1872744,0.17829436,0.1788187,0.18659727,0.19428323,0.19512898,0.18567723,0.16885178,0.14945151,0.1332001,0.124987416,0.13103609,0.15468955,0.1927106,0.23181625,0.25695932,0.25960055,0.24355505,0.21840626,0.19274648,0.16997735,0.15086,0.13629736,0.12823738,0.12842487,0.13600041,0.14679983,0.15435636,0.15415539,0.14585368,0.13348196,0.12185979,0.1176591,0.1297987,0.16872667,0.23250087,0.30268195,0.34878218,0.3555515,0.32933214,0.29427847,0.26690504,0.25198725,0.243946,0.23871146,0.2347039,0.23208632,0.2304315,0.22876121,0.22650741,0.22377986,0.2212307,0.21934032,0.2187971,0.22119933,0.22920029,0.24256516,0.25513577,0.2548982,0.23319979,0.19163907,0.14289413,0.10093298,0.07309171,0.058284055,0.05209211,0.051597703,0.056977123,0.06918203,0.08707449,0.105563916,0.11818802,0.12101173,0.116395466,0.11202141,0.11687788,0.13772018,0.17724712,0.2348309,0.30125472,0.35905647,0.3852153,0.36894453,0.31590024,0.24684657,0.17961903,0.12561353,0.09116537,0.08585776,0.12059165,0.1939168,0.2850941,0.3566585,0.38298383,0.36280537,0.320936,0.28170952,0.2579941,0.24852598,0.24937272,0.2563788,0.26298937,0.2592384,0.2363395,0.19524483,0.14698587,0.107036054,0.0846568,0.07858304,0.08051569,0.08347287,0.09011593,0.10812769,0.14269203,0.18605965,0.224847,0.2477626,0.25480652,0.2513695,0.24310273,0.23411304,0.23094375,0.24607153,0.28407776,0.3353373,0.3706759,0.37082458,0.3354063,0.28879327,0.25101742,0.23063757,0.22164302,0.21786107,0.21573414,0.21475218,0.21443875,0.21408392,0.21312074,0.21129543,0.20862801,0.20513578,0.20111656,0.19818963,0.19940011,0.20780586,0.2207038,0.22914521,0.22063045,0.1912496,0.14754616,0.10414302,0.07115694,0.05139755,0.04115175,0.036608595,0.035779003,0.037670415,0.040727675,0.042149607,0.04024276,0.035848718,0.033597525,0.040207744,0.06086853,0.09783427,0.14908649,0.21392839,0.28618813,0.3546833,0.39641884,0.3965673,0.35383996,0.2882004,0.22069569,0.16645968,0.13139425,0.12148134,0.14632082,0.20674546,0.28701058,0.3513088,0.37251267,0.34655464,0.2981312,0.25325593,0.22584589,0.21443903,0.21500455,0.22651817,0.2465442,0.2675024,0.27591372,0.26422027,0.23463123,0.20021565,0.17352198,0.16153401,0.16293304,0.17220788,0.18429933,0.19720536,0.21224429,0.2294123,0.24595992,0.25713262,0.2605668,0.25750664,0.25106937,0.24608016,0.24869607,0.26809466,0.30571625,0.35135743,0.38071707,0.37754497,0.34257236,0.29616606,0.25684005,0.23259817,0.21987939,0.21376301,0.2115831,0.21226938,0.21442227,0.21638672,0.2173518,0.21751714,0.21731937,0.21663962,0.21482278,0.21266729,0.2129579,0.21988977,0.23193938,0.24096239,0.23335665,0.20396288,0.15831818,0.11189666,0.07598352,0.05458643,0.044088464,0.0406674,0.042807933,0.051718522,0.068328805,0.090516545,0.112683,0.12880307,0.13663135,0.13958548,0.14395861,0.15688342,0.18384849,0.23013335,0.29172888,0.3538934,0.3894248,0.38084233,0.32793525,0.25226304,0.17652206,0.116744615,0.07930471,0.06974061,0.09606556,0.1585223,0.24219532,0.3138752,0.34700337,0.335699,0.30049917,0.26467144,0.24146158,0.2308581,0.23017025,0.23869407,0.25243098,0.2619687,0.25325885,0.22158112,0.1736173,0.12643598,0.0929571,0.07770759,0.07546846,0.07949985,0.08729488,0.10309076,0.13218708,0.17326103,0.21603884,0.24802323,0.26184335,0.25716445,0.23643978,0.20515697,0.17538929,0.16780989,0.19869514,0.26260212,0.32791305,0.35812628,0.3409752,0.29444256,0.24879628,0.22092701,0.21085455,0.20941018,0.21014917,0.2104309,0.21050633,0.21085562,0.211357,0.21151076,0.2107506,0.20951772,0.20810263,0.20820592,0.21222208,0.2241335,0.24307692,0.26153716,0.26487812,0.24335758,0.19865452,0.1454391,0.099425346,0.06914195,0.05327594,0.046675865,0.04492332,0.04589073,0.048206907,0.050453857,0.05124603,0.05010892,0.04816456,0.048636634,0.05669859,0.07746357,0.11479092,0.16927934,0.23772396,0.307181,0.35679564,0.36442947,0.3258311,0.2574265,0.1888084,0.14055707,0.117917635,0.11598164,0.13227598,0.17072658,0.22825105,0.28910255,0.32486734,0.32085857,0.28078553,0.22691953,0.17697199,0.14222887,0.12620406,0.13209285,0.15980785,0.2028271,0.24782173,0.27872428,0.28590095,0.26860067,0.23514996,0.19635151,0.16312931,0.14259721,0.13724224,0.14582713,0.16493613,0.19078596,0.21673489,0.23590355,0.24226594,0.23372567,0.21030487,0.1751884,0.13913147,0.12075255,0.141105,0.2023629,0.28305614,0.34263256,0.356946,0.32802513,0.2837418,0.24672271,0.22634728,0.21744089,0.21405514,0.21255182,0.21190834,0.21153694,0.2107061,0.20906323,0.2066289,0.20394664,0.20148276,0.19997202,0.20115489,0.20826356,0.22294544,0.24071473,0.2502418,0.23997843,0.20799847,0.16355406,0.12060814,0.0876795,0.06601259,0.052730232,0.046065424,0.046440195,0.054608453,0.06937263,0.0862053,0.099618465,0.10644805,0.1091313,0.114630975,0.1292355,0.15671505,0.19713308,0.25297624,0.31834438,0.37976146,0.41072056,0.39947012,0.35019484,0.2865858,0.22408251,0.17041856,0.12882666,0.11098995,0.13286358,0.19473211,0.27539322,0.33486566,0.35043457,0.3240396,0.2839835,0.25174686,0.23647018,0.23327602,0.23880678,0.2510151,0.26457942,0.26813555,0.24912997,0.20627724,0.15109897,0.10289306,0.07514903,0.069528066,0.07793677,0.09009365,0.10386056,0.12304912,0.15318365,0.18982513,0.22324114,0.24364932,0.2505773,0.24871083,0.24302655,0.236543,0.23384042,0.24579199,0.27790713,0.32327875,0.3556898,0.35563782,0.32099643,0.274163,0.23568517,0.21507668,0.20694487,0.20445299,0.20387705,0.20495184,0.20748961,0.20991357,0.2104739,0.20854753,0.20523636,0.20216203,0.20006649,0.19986703,0.20363255,0.2153037,0.23368633,0.25030085,0.24962026,0.2238012,0.17731334,0.12678978,0.085872374,0.060007438,0.0460387,0.039860316,0.039113864,0.0423789,0.04735842,0.050436687,0.04953753,0.045781303,0.04433703,0.052371055,0.074944526,0.11398921,0.1669562,0.23225313,0.3023862,0.36416385,0.3940731,0.3786677,0.3220707,0.2501357,0.18785667,0.1480213,0.12714016,0.11707265,0.11195463,0.110919766,0.1143715,0.12125617,0.12702553,0.12654203,0.11674175,0.09949682,0.07964276,0.06220882,0.0496248,0.042397637,0.04131709,0.049412057,0.069739334,0.10171477,0.13821365,0.16939396,0.18819042,0.19448097,0.19287968,0.18831576,0.18267582,0.17423612,0.16081224,0.14343867,0.12970355,0.12939481,0.14759976,0.17798261,0.20713305,0.22221325,0.21845694,0.1984852,0.16924147,0.13852103,0.112584494,0.09494757,0.08584994,0.084683426,0.09160405,0.108145304,0.13441665,0.16684598,0.19796197,0.22012122,0.22979735,0.22914763,0.22342528,0.2170098,0.21151364,0.2066732,0.2021163,0.19807725,0.19493757,0.19269769,0.19100116,0.18950796,0.18808936,0.18665035,0.18493982,0.18263662,0.17973725,0.17670985,0.17418386,0.1722761,0.17045665,0.16795199,0.16459678,0.16096908,0.15801047,0.15621848,0.15540503,0.15488963,0.15396571,0.15215303,0.14930604,0.14565891,0.14177243,0.13828105,0.13564457,0.1340686,0.13358091,0.13426538,0.13640548,0.14097649,0.14862639,0.15891485,0.1687118,0.17436367,0.17327785,0.16638316,0.15626091,0.14594556,0.13704582,0.13024177,0.12516366,0.120966345,0.116768174,0.11264733,0.10975676,0.10952314,0.11218528,0.11630377,0.11938033,0.11959031,0.116653495,0.11185371,0.106718026,0.102352954,0.09891176,0.0961462,0.09335706,0.0904076,0.08768729,0.08692166,0.08944588,0.09579483,0.10405577,0.111724414,0.11634318,0.11749283,0.11583101,0.11283598,0.109553434,0.10644001,0.10296222,0.09773952,0.08964004,0.07907068,0.0689409,0.063333765,0.06520554,0.07421521,0.08678022,0.09836531,0.10588271,0.10905704,0.109228946,0.10808579,0.10641426,0.10447518,0.10211528,0.09898891,0.09420347,0.086734615,0.076242514,0.063958175,0.052295562,0.043513786,0.038417455,0.03628232,0.035730973,0.035664577,0.03567423,0.03605914,0.03787528,0.042755943,0.0523537,0.067005076,0.0849891,0.10280404,0.11709812,0.12608622,0.12995648,0.1299177,0.12747858,0.124098144,0.12101225,0.11892595,0.117861085,0.117378764,0.116988175,0.11634021,0.115286075,0.11381327,0.11208538,0.110417515,0.109197654,0.10868943,0.10879425,0.109032065,0.108792864,0.107862264,0.10663768,0.10590913,0.106220074,0.10749643,0.1091882,0.11072985,0.11184827,0.11243514,0.112363614,0.111479245,0.1098539,0.10793716,0.10638935,0.105730526,0.10601627,0.106820256,0.10745143,0.10734865,0.1063754,0.10484516,0.10320055,0.10162873,0.09994444,0.09788152,0.09544843,0.09297955,0.09080741,0.08896425,0.087227196,0.085463785,0.08383425,0.08266138,0.08208605,0.081940986,0.08188032,0.08162395,0.08102236,0.0799916,0.07842798,0.07622668,0.07338247,0.070094295,0.066745944,0.06371597,0.061169516,0.05900679,0.057045083,0.055174764,0.05340608,0.05174574,0.05014128,0.048486616,0.046721887,0.044888258,0.043137297,0.041650232,0.040536422,0.039733496,0.039012674,0.03807581,0.036726,0.034951534,0.032905865,0.030785605,0.028753245,0.026895465,0.025209295,0.023566818,0.02172041,0.019406693,0.0165064,0.013166144,0.009751284,0.0066853724,0.0042578387,0.0025664326,0.0015657917,0.0011817107]