[0.13482705,0.15081991,0.18187033,0.2134604,0.23459612,0.24420428,0.24668391,0.24759388,0.24968123,0.2540671,0.26049554,0.2678512,0.27380976,0.2761186,0.27331164,0.26532945,0.25212744,0.2334124,0.20854063,0.17833562,0.14538543,0.11363544,0.086546265,0.06603378,0.0523154,0.04437384,0.040662106,0.0394284,0.03908804,0.038446266,0.036867525,0.034466933,0.032332186,0.03294275,0.04008967,0.057072088,0.0842369,0.11709565,0.1488393,0.17337894,0.1881069,0.19182336,0.18447621,0.16707863,0.14470865,0.12520401,0.11782389,0.12793653,0.15507077,0.1905046,0.22228462,0.23993947,0.24038528,0.2270041,0.20790875,0.19141631,0.18346517,0.18409008,0.18870574,0.1900509,0.1836885,0.16892062,0.1501443,0.13329206,0.12358025,0.121476084,0.122959964,0.121917486,0.11431227,0.099959195,0.08158577,0.06305549,0.048298787,0.041046724,0.04373597,0.055882264,0.07310604,0.088702954,0.09680608,0.09541378,0.08664594,0.07485729,0.06381025,0.05531149,0.04926422,0.04477689,0.041050266,0.03780627,0.03515728,0.033262044,0.032123845,0.031610195,0.031632215,0.032113045,0.032906275,0.033715058,0.034285236,0.034560982,0.03475687,0.035158604,0.035883516,0.03675789,0.037421595,0.037618205,0.03747351,0.037812743,0.040959243,0.050964236,0.07275284,0.10785278,0.15174483,0.19395691,0.2247976,0.23977314,0.24058975,0.23116083,0.21555309,0.19826573,0.18398972,0.17615461,0.17444746,0.17576627,0.17639585,0.17507815,0.1730408,0.17234959,0.17285772,0.17201824,0.16647637,0.15525031,0.14017044,0.12495798,0.112930626,0.10599432,0.10412365,0.10570133,0.108106576,0.10868838,0.10573279,0.099307746,0.091516495,0.085975915,0.08573886,0.091345675,0.09983801,0.106786855,0.10891072,0.10624153,0.10170451,0.099471,0.10274307,0.11203649,0.12482485,0.1364799,0.14270549,0.14105581,0.1317115,0.116408944,0.097964674,0.07939089,0.0639245,0.054004267,0.050664116,0.05223036,0.055123728,0.055616543,0.053474825,0.05263677,0.059136678,0.07572626,0.09916445,0.12151405,0.13549544,0.13872063,0.1342132,0.12708567,0.12084592,0.11580762,0.11045606,0.103458084,0.094959974,0.08574433,0.076361775,0.06652088,0.056019396,0.04522754,0.035282884,0.027263606,0.021706542,0.01846089,0.0170999,0.017219128,0.018330893,0.019834407,0.021487487,0.024644092,0.03246637,0.048219442,0.0721666,0.10017683,0.12586111,0.14433932,0.15461378,0.15815723,0.15649413,0.14942086,0.13631238,0.1177628,0.09724474,0.07941537,0.06814874,0.063474916,0.06277162,0.062275145,0.060358286,0.057130974,0.053702503,0.05049782,0.047257397,0.043645557,0.03967246,0.03596287,0.0331573,0.031698693,0.031352688,0.031544596,0.03160282,0.031210475,0.030360892,0.02922979,0.02794165,0.02650372,0.02489286,0.023165999,0.021520741,0.020149263,0.019103868,0.018231267,0.01731096,0.01623436,0.015114778,0.014247403,0.013941799,0.014341902,0.015316824,0.016643936,0.018963963,0.025254099,0.04139255,0.07331715,0.12166351,0.17814274,0.22847553,0.26004663,0.26790926,0.25487334,0.22781731,0.19506294,0.1653051,0.14692001,0.14494592,0.1592253,0.18321966,0.20769872,0.22394669,0.22832878,0.2222154,0.21118502,0.20130241,0.19662468,0.1976948,0.20225565,0.20695378,0.20826608,0.2033514,0.19115268,0.17353277,0.1547964,0.13874054,0.12693514,0.11851183,0.112570144,0.108707614,0.10701203,0.10683569,0.10710719,0.10681891,0.10587659,0.10478874,0.10411281,0.10373101,0.10307133,0.101435356,0.09853261,0.09444796,0.0898061,0.08538467,0.08192051,0.079533696,0.0778909,0.076378666,0.07456789,0.072252005,0.069433935,0.06629757,0.06343383,0.06262818,0.06726911,0.08180985,0.10826242,0.1437138,0.17957187,0.20718442,0.22147614,0.22341722,0.21596563,0.20332594,0.19020289,0.18310781,0.1869427,0.20150514,0.22044438,0.2352912,0.2406271,0.23620059,0.22495897,0.20959015,0.1905359,0.16741353,0.14114507,0.11532944,0.09382715,0.07855966,0.068178244,0.060322106,0.05342092,0.04826322,0.047366302,0.05431087,0.07063084,0.09450192,0.12009847,0.14315309,0.16202192,0.17848824,0.19140227,0.19901602,0.19933325,0.19473685,0.18677549,0.17617917,0.16207497,0.14777921,0.1395637,0.14322613,0.15805556,0.17652838,0.18923707,0.19075535,0.18284665,0.17146164,0.16220602,0.156305,0.1508646,0.14227216,0.12936847,0.11479551,0.10246948,0.09522047,0.092848174,0.092922576,0.0925368,0.08996526,0.0852885,0.07946387,0.07354935,0.068136,0.06341461,0.059305903,0.05554578,0.052061994,0.049050886,0.04711349,0.04708366,0.04998541,0.056243274,0.06493496,0.07339812,0.07867839,0.079092376,0.075459205,0.07051679,0.06818884,0.071474575,0.08088317,0.09291631,0.10247251,0.10569639,0.10297216,0.09753293,0.093533,0.09332129,0.09697241,0.10211849,0.10568332,0.10546937,0.10172569,0.09703145,0.09580388,0.10327095,0.122902356,0.15350664,0.18748023,0.2145652,0.22698842,0.22353762,0.20801552,0.18613887,0.16285136,0.14173792,0.12509315,0.11374863,0.107305385,0.10434287,0.10318541,0.10237554,0.10135981,0.10044452,0.10026812,0.10086063,0.10147631,0.10115582,0.099716574,0.0980139,0.09755633,0.099324346,0.10299402,0.10686769,0.108988516,0.10847563,0.10575417,0.10198688,0.097786956,0.093162306,0.087747954,0.081525065,0.0752014,0.07024547,0.06931012,0.07570472,0.09256,0.12033675,0.15543419,0.19091184,0.22012787,0.24022472,0.2525268,0.2602986,0.26632604,0.2728081,0.28135046,0.29261765,0.30464157,0.31351206,0.31434274,0.3038263,0.28131866,0.25104114,0.22178008,0.20400931,0.20363796,0.21847938,0.23917292,0.2548249,0.25749812,0.24666719,0.22969341,0.21975578,0.22664182,0.2503053,0.28010035,0.30416143,0.31630865,0.3181773,0.31349126,0.30459592,0.29075968,0.27140132,0.2477925,0.22409393,0.20445503,0.19099896,0.18269683,0.17750068,0.17365402,0.1706047,0.16798186,0.16559093,0.16309536,0.16092378,0.1598048,0.1606824,0.1626494,0.16354476,0.1605898,0.15496926,0.1520363,0.16045184,0.18451758,0.22066788,0.25697064,0.28172293,0.29029736,0.28758657,0.2823597,0.28112733,0.28521383,0.29158446,0.29520324,0.29063547,0.2750876,0.24964511,0.22051829,0.19515036,0.17960976,0.1750068,0.17908084,0.18734509,0.19604313,0.20264809,0.20653947,0.20788826,0.20701425,0.20373838,0.19835426,0.19253397,0.18921095,0.19045334,0.19548345,0.20089765,0.20319901,0.20136428,0.19728558,0.1945886,0.19640867,0.20403238,0.21606924,0.2296787,0.24193116,0.25113842,0.25663814,0.2584223,0.25682053,0.25227323,0.24519736,0.23582679,0.22478665,0.21334724,0.20338772,0.19648601,0.19302075,0.19205153,0.1919251,0.19152702,0.190322,0.18840821,0.18574858,0.18268676,0.17936587,0.1760363,0.1724137,0.16864853,0.16501899,0.16234685,0.16090302,0.16073687,0.16104268,0.16101022,0.15960382,0.15669721,0.15269358,0.14894612,0.14655961,0.14679734,0.15064348,0.16006677,0.17654862,0.1999913,0.2262233,0.24826069,0.25926998,0.2564104,0.24289383,0.2253521,0.21070154,0.20156781,0.19741009,0.19577795,0.19575877,0.19769682,0.20272909,0.21045554,0.21789992,0.22027801,0.21446998,0.20292598,0.19277643,0.19158019,0.20065677,0.21562792,0.22974873,0.24075985,0.2503204,0.26160583,0.27411845,0.2839713,0.28577363,0.27713466,0.26060793,0.24295332,0.23096247,0.22731425,0.23037009,0.23645006,0.24315478,0.24925886,0.25437513,0.25801003,0.26009178,0.260735,0.25959715,0.2552692,0.24566464,0.23053505,0.21331568,0.20101614,0.19885951,0.20619668,0.21657275,0.2252339,0.23464651,0.2519625,0.2804971,0.313524,0.33943835,0.34997037,0.34585366,0.33241728,0.31367257,0.28980026,0.26050028,0.22939284,0.20423365,0.19304997,0.19871849,0.2170489,0.23948033,0.2584128,0.2706574,0.2767557,0.2777379,0.27266395,0.25930324,0.23692733,0.20927419,0.1842405,0.17088915,0.17397319,0.19160287,0.21520483,0.2344933,0.24110039,0.23273103,0.21264076,0.18820888,0.16632147,0.15126121,0.14453276,0.14717598,0.15994656,0.18155438,0.2075965,0.23215131,0.25117102,0.2632654,0.26913264,0.26931754,0.264251,0.25387418,0.2389248,0.22078301,0.20189132,0.18453257,0.17037536,0.15988201,0.1529181,0.14892018,0.14719117,0.14664386,0.14626884,0.14533474,0.14368534,0.14117308,0.13777573,0.13368995,0.12976128,0.12667273,0.12443886,0.122231305,0.11943296,0.11625419,0.11363131,0.11229413,0.11227891,0.11356273,0.11742594,0.1263095,0.14158435,0.16092815,0.17965424,0.19485843,0.20785175,0.22100426,0.2330184,0.23917697,0.23591165,0.22442408,0.20939034,0.19633587,0.19146536,0.2005704,0.22681563,0.26464918,0.30129042,0.3209511,0.31693485,0.29473528,0.27076808,0.25869754,0.26174644,0.27042806,0.27251685,0.26074395,0.23703556,0.2096318,0.18974935,0.18669468,0.20428313,0.23819606,0.27851602,0.31442758,0.3392959,0.35158932,0.35324648,0.34732512,0.33659974,0.3235968,0.31044498,0.29907072,0.2905258,0.28526586,0.28357992,0.28632596,0.29362953,0.30354053,0.31178996,0.31436852,0.30946627,0.29763755,0.2809063,0.2625096,0.24675162,0.23680086,0.23285843,0.23286235,0.23596668,0.2432136,0.25543275,0.27026856,0.28442338,0.29563472,0.3039541,0.3087257,0.3086779,0.30265895,0.2914182,0.2767323,0.26053938,0.24457268,0.2303484,0.21910912,0.21163613,0.20847797,0.20902866,0.211266,0.21245515,0.21288721,0.2168984,0.23053168,0.25530183,0.28538337,0.31017712,0.32014596,0.3121331,0.2899911,0.26271728,0.23925263,0.22453932,0.21735694,0.21225135,0.20393425,0.1914561,0.18024057,0.17834233,0.19102019,0.21542482,0.2429862,0.26426587,0.27526644,0.27709797,0.27412233,0.26918295,0.26321265,0.25473526,0.24321187,0.22918724,0.21556018,0.20495375,0.19956529,0.19957562,0.20444272,0.2122577,0.22043045,0.22512324,0.22308351,0.21276982,0.19584525,0.17588699,0.15693946,0.14183585,0.13260184,0.13123894,0.1400203,0.15937656,0.18647812,0.2150747,0.23983066,0.25847876,0.27311078,0.28635213,0.29973078,0.31221643,0.32195315,0.32740805,0.3286791,0.32773936,0.3273822,0.3296658,0.33420053,0.33902335,0.34186482,0.34136176,0.3356453,0.32117647,0.29471263,0.25714925,0.21671557,0.18480952,0.1701678,0.17406563,0.1927998,0.2212816,0.25391102,0.28318107,0.29908216,0.29419348,0.26748198,0.22694497,0.18607678,0.1608075,0.16324125,0.19630592,0.2493236,0.30256602,0.3379492,0.34935603,0.34310344,0.33015504,0.3176103,0.3065747,0.2952867,0.28327894,0.2718096,0.26254764,0.25557202,0.24963307,0.24277852,0.23335803,0.22097838,0.20675789,0.19302826,0.18143094,0.17207794,0.16369294,0.15512222,0.14639463,0.13834493,0.13184144,0.12659651,0.12182697,0.11686047,0.1123698,0.10979708,0.1105857,0.11502872,0.122246884,0.13085836,0.13967408,0.14809412,0.15562089,0.16187619,0.1664051,0.16923715,0.17053676,0.17066103,0.16966231,0.16766407,0.16485946,0.16175278,0.15884346,0.15650351,0.15497865,0.15451811,0.15541607,0.15768532,0.1609302,0.16460432,0.16873373,0.17435293,0.18211807,0.190738,0.19613294,0.19509839,0.18826848,0.18118791,0.17949848,0.18542011,0.19676335,0.20978059,0.22130264,0.22921778,0.23244439,0.23081098,0.22563998,0.21904208,0.21338546,0.20976311,0.208025,0.20668383,0.20443398,0.20053768,0.19557334,0.19066834,0.18702604,0.1849372,0.1837192,0.18209131,0.1790464,0.17443277,0.1692236,0.16562845,0.16699441,0.17620139,0.19307889,0.21257977,0.22777928,0.23474078,0.23543365,0.23435555,0.23445027,0.23641585,0.24094383,0.24957871,0.2623473,0.27686802,0.2894648,0.2971339,0.29830655,0.29222897,0.2805135,0.26595786,0.25236508,0.24032949,0.22895114,0.21626599,0.20422705,0.19717132,0.20171957,0.22066237,0.25166324,0.28511596,0.31069532,0.32154366,0.31892398,0.30844986,0.29719746,0.2900863,0.29017854,0.29777634,0.30976903,0.3201137,0.32428816,0.3248231,0.33254543,0.3576877,0.39954174,0.4416275,0.46434876,0.45816123,0.4317921,0.40113774,0.37844774,0.3649018,0.35605016,0.34735605,0.33722803,0.3257927,0.31276622,0.2980729,0.28241584,0.26784468,0.25507438,0.24195294,0.22492182,0.20421852,0.18571919,0.17737478,0.18235874,0.19808477,0.21997142,0.24455889,0.26748556,0.28010967,0.2734007,0.24480446,0.20416658,0.16919677,0.15791543,0.17854463,0.22641774,0.28452265,0.33324692,0.35900983,0.3621079,0.35480824,0.35516968,0.37472975,0.40903142,0.4390267,0.4442686,0.4193047,0.3746841,0.32794952,0.290715,0.26645553,0.251915,0.24105306,0.22842044,0.21265699,0.1972486,0.18729073,0.18572105,0.19326963,0.20822696,0.22688735,0.24123289,0.24431883,0.23412971,0.21933502,0.21311794,0.22838031,0.26608,0.31487465,0.35367134,0.36882254,0.36216712,0.34943756,0.34449208,0.34997237,0.3596853,0.36680165,0.36942545,0.36863026,0.36637333,0.36324108,0.35915187,0.35325778,0.34455967,0.33107093,0.31052974,0.2816056,0.246704,0.21175587,0.18395984,0.16786467,0.16469161,0.1729647,0.18976784,0.21028472,0.22837918,0.23802239,0.23505282,0.21895975,0.19457527,0.17307033,0.16744423,0.18504713,0.22180025,0.2655318,0.30364347,0.3305339,0.34879112,0.3671302,0.39242366,0.42201647,0.44106445,0.43285123,0.39317492,0.33499363,0.28055415,0.24743758,0.24346936,0.26548168,0.30341053,0.34319553,0.3731686,0.38818717,0.3897023,0.38239586,0.3705648,0.3579428,0.3471122,0.3395582,0.33434716,0.3291249,0.32256678,0.3174623,0.32238063,0.34563375,0.387924,0.4353135,0.46764782,0.47043368,0.4463295,0.40980765,0.3767031,0.35406828,0.34100214,0.3328601,0.326073,0.31797144,0.30672717,0.29123637,0.27288973,0.25559992,0.24242859,0.23237866,0.21943933,0.19847888,0.16936155,0.13789526,0.11067456,0.09237868,0.085861914,0.092779465,0.111935414,0.13666998,0.15744554,0.16607936,0.16156214,0.15038997,0.14580087,0.15997721,0.19739409,0.2490514,0.29920384,0.33395806,0.35057852,0.35546815,0.3608371,0.37510705,0.39814138,0.41727754,0.4162602,0.3853681,0.33033893,0.268438,0.21981645,0.19744952,0.20196466,0.22227629,0.24176717,0.24828033,0.23990719,0.22472036,0.21335052,0.21264072,0.22315627,0.24134533,0.26300332,0.28489652,0.30552658,0.3244991,0.3426981,0.36205938,0.38406625,0.40701327,0.42500374,0.43139508,0.42438254,0.40794683,0.3888774,0.3717716,0.35883763,0.34998026,0.34408203,0.338823,0.3320554,0.322552,0.31036472,0.29697946,0.28576624,0.28061864,0.28300998,0.2894911,0.29372475,0.29017428,0.27667496,0.2540911,0.22548264,0.19604875,0.17154293,0.15649207,0.15192954,0.15620048,0.1656547,0.17661996,0.18599336,0.19247228,0.19628851,0.19917156,0.20350607,0.21139865,0.22269464,0.23520434,0.24766779,0.26511487,0.29577538,0.34168556,0.38858175,0.41310874,0.39973482,0.3538387,0.2967283,0.2512808,0.23208594,0.24243815,0.27606535,0.31861606,0.3544483,0.3734436,0.37544587,0.3667371,0.35465834,0.34406415,0.33705688,0.33389512,0.3329033,0.33109698,0.32578638,0.317685,0.3135011,0.3238473,0.3556117,0.40281296,0.44629368,0.46580788,0.45458865,0.42372367,0.39112464,0.36838904,0.35565767,0.3471597,0.33818245,0.32716325,0.31441173,0.30057606,0.28747928,0.27851185,0.27652672,0.2807474,0.28486863,0.2807702,0.263742,0.23628195,0.2062865,0.1829478,0.17349869,0.18143098,0.20488967,0.23618776,0.26420584,0.27984396,0.2795154,0.26622885,0.24855256,0.23825556,0.24527232,0.270525,0.304893,0.33444384,0.3506498,0.35478696,0.357546,0.37093246,0.39819083,0.42667964,0.4334772,0.40234414,0.33686128,0.25933203,0.19577678,0.16261826,0.16031681,0.17611289,0.19174492,0.19431265,0.18339437,0.16946585,0.164818,0.17556824,0.19967692,0.2305861,0.26038024,0.2817894,0.28820953,0.2768924,0.2525848,0.23031467,0.22869438,0.25681007,0.30580342,0.3539207,0.3844312,0.39389336,0.39077067,0.38267764,0.37416685,0.3667824,0.36277854,0.36238685,0.36293516,0.35955358,0.349371,0.33347407,0.31792083,0.30935404,0.31187546,0.32142568,0.32969084,0.327873,0.31462958,0.29386586,0.27200007,0.25291827,0.23851949,0.22925597,0.22386725,0.21870528,0.2090987,0.19403185,0.17952716,0.1775776,0.199423,0.24774842,0.3137097,0.3807721,0.43334484,0.46355903,0.47357544,0.4735482,0.47610894,0.48914298,0.50752735,0.51551443,0.4977752,0.45577824,0.40677354,0.3719858,0.35949108,0.364367,0.37530923,0.38469708,0.38927352,0.38949898,0.38674033,0.38242158,0.37737548,0.37278438,0.37065163,0.37262297,0.37783706,0.38285646,0.38449907,0.38340196,0.38525918,0.39821622,0.4263734,0.46424878,0.49586216,0.5050211,0.4856136,0.44738337,0.40594327,0.37257233,0.3479009,0.3272984,0.3067361,0.28558168,0.26531994,0.2479635,0.2360096,0.23237015,0.23832138,0.2513346,0.2641934,0.269568,0.26442185,0.2522712,0.2391082,0.22918735,0.22242321,0.21575211,0.20588459,0.19299816,0.18273194,0.1835112,0.20003247,0.2289632,0.2623403,0.29555354,0.329864,0.36761484,0.4050307,0.43342993,0.44545344,0.4421185,0.4321922,0.4268991,0.4315094,0.44130242,0.44440532,0.43060693,0.399156,0.35826746,0.31983328,0.29159078,0.27472562,0.2636699,0.2509174,0.23187508,0.20701845,0.1798774,0.15316677,0.12937702,0.11274888,0.10896715,0.12076026,0.14381297,0.16915041,0.18847167,0.20107915,0.21533652,0.24539296,0.29914317,0.36803076,0.42708138,0.451982,0.43648744,0.39577782,0.35195544,0.3188443,0.297443,0.28218213,0.26747862,0.2508976,0.23236108,0.21390422,0.19880866,0.1914611,0.19410028,0.20375676,0.2111851,0.20681168,0.18835379,0.16308291,0.14211543,0.13237165,0.13489932,0.14773063,0.1687007,0.19403212,0.21623196,0.22644977,0.21947478,0.1983848,0.17274147,0.15383433,0.14903684,0.15997593,0.18293713,0.21121223,0.23785275,0.25982657,0.28070328,0.3097702,0.3529708,0.40429962,0.44388184,0.45155752,0.42089722,0.36489502,0.30506626,0.2593752,0.23383458,0.22470717,0.22163858,0.21556544,0.20177191,0.1827619,0.16313708,0.1467243,0.13391039,0.1237573,0.11562904,0.10993367,0.10754729,0.10843957,0.11188346,0.11658279,0.121765375,0.12653565,0.13010468,0.13147545,0.13045774,0.1273569,0.12295914,0.117706604,0.111940645,0.10584048,0.099713005,0.09375548,0.088177346,0.08331266,0.079924084,0.079203494,0.08268016,0.091995984,0.107911445,0.12881179,0.14972241,0.16463567,0.17025073,0.16856463,0.16465797,0.1633683,0.16697417,0.17565577,0.1878618,0.20071828,0.21094555,0.21636963,0.21690063,0.21408112,0.21002847,0.20619863,0.20265277,0.19824503,0.19192207,0.1838035,0.17519838,0.16732217,0.16078041,0.15552104,0.15152074,0.14857353,0.14635932,0.14433591,0.14212127,0.13953663,0.13665377,0.13358255,0.1304335,0.12752025,0.1258062,0.126485,0.1297803,0.13386758,0.13588959,0.13409169,0.12919049,0.123229034,0.11772136,0.112695076,0.1077195,0.10507035,0.112577,0.14364676,0.20646362,0.29236087,0.3720218,0.41407773,0.40678808,0.36553255,0.31778088,0.28240487,0.2634571,0.2547338,0.2500259,0.24519454,0.23893976,0.23103166,0.22287895,0.21700959,0.21495382,0.21460004,0.20947202,0.19314021,0.16455877,0.12991853,0.09863407,0.07782928,0.0702001,0.07349529,0.08253772,0.09025804,0.09283644,0.09004704,0.08495838,0.07860721,0.0709623,0.061918426,0.053480733,0.04773417,0.04553838,0.04719497,0.052918475,0.06501075,0.0882366,0.13185515,0.20119429,0.2889379,0.3692677,0.41348585,0.40833446,0.36644986,0.31409645,0.27463534,0.25741947,0.259122,0.26917458,0.27715632,0.27722085,0.26946607,0.25633103,0.24026442,0.22378914,0.21159159,0.20903344,0.2184096,0.23625465,0.25470248,0.26674,0.27085158,0.2753696,0.2919422,0.32722118,0.3707346,0.40391636,0.41162595,0.39731887,0.37428287,0.35617444,0.3459983,0.34063804,0.33459663,0.32484543,0.31023273,0.29166058,0.2717191,0.25457618,0.24464393,0.24297778,0.24558537,0.24452789,0.23438649,0.21556921,0.19452314,0.17872912,0.17456192,0.18498935,0.2082492,0.23569007,0.25492024,0.25746337,0.24492137,0.22780097,0.21656638,0.2155618,0.2217832,0.2312033,0.24198906,0.25578025,0.27361378,0.29528883,0.31968164,0.34808603,0.38017213,0.40977418,0.42168126,0.40342152,0.35611364,0.29861793,0.25366187,0.23449041,0.23887019,0.25521314,0.27028355,0.27562162,0.26930717,0.2548614,0.23718582,0.22035103,0.2071306,0.19983596,0.19920862,0.20342399,0.20862158,0.21138383,0.21180569,0.21501249,0.23061232,0.2662279,0.31914786,0.37241256,0.40313753,0.3979808,0.36123264,0.31096992,0.26518425,0.23416825,0.21801758,0.21237235,0.21152975,0.21188849,0.21112989,0.20926537,0.20803642,0.21116817,0.22006087,0.2317,0.23823307,0.23396905,0.21922505,0.20114875,0.18738724,0.18211438,0.18419029,0.18929255,0.19242711,0.19067758,0.18451534,0.17677338,0.17050515,0.16746794,0.1683675,0.17254055,0.17806564,0.18205042,0.18334742,0.18319982,0.18540527,0.19519067,0.21993566,0.26577002,0.3296984,0.39388415,0.43200728,0.42754886,0.38584438,0.33108366,0.2883563,0.26996472,0.2711401,0.27825347,0.27881026,0.26962686,0.25626826,0.24747486,0.24754412,0.25393856,0.2595875,0.2585845,0.2503349,0.2395767,0.23236497,0.23206644,0.23991556,0.25874755,0.29301974,0.34221134,0.39380112,0.42721227,0.4269062,0.39409044,0.3440802,0.29574797,0.26019725,0.23967284,0.22974937,0.22562845,0.22407563,0.22463356,0.22752254,0.23322864,0.24259324,0.25545117,0.2689619,0.2766308,0.27305827,0.25704083,0.23346673,0.20922369,0.19150247,0.1844784,0.18838675,0.19886167,0.21113902,0.22541468,0.24616714,0.276765,0.31253147,0.34423128,0.36399043,0.3710178,0.36816046,0.3575674,0.3382999,0.31046054,0.280807,0.2648342,0.27837667,0.3240568,0.38286147,0.42496076,0.42980602,0.40111592,0.35956207,0.3265225,0.30955264,0.30330634,0.296025,0.27935952,0.25268528,0.22358792,0.20221788,0.195096,0.20156024,0.21542387,0.2287543,0.2355861,0.23350663,0.22391416,0.21145646,0.20398222,0.21200414,0.24475491,0.30145347,0.3657627,0.41044804,0.41558328,0.38131142,0.32816693,0.2798328,0.25052676,0.2401408,0.24176407,0.24737282,0.25199032,0.25310645,0.25110665,0.24820115,0.2481879,0.25295973,0.2610918,0.2669579,0.26585725,0.25690654,0.24450785,0.23388879,0.22846627,0.22811581,0.23059733,0.23253934,0.23155129,0.22728904,0.22137547,0.2156444,0.21081792,0.20731652,0.20526683,0.20516849,0.20654325,0.2099091,0.21572615,0.22495632,0.23776643,0.25699326,0.28744158,0.33040407,0.3753413,0.40176618,0.39373997,0.3531668,0.29981223,0.25671807,0.23740365,0.24171956,0.26124394,0.28551477,0.30656362,0.3195828,0.32227254,0.31413317,0.2978703,0.27983925,0.26768693,0.26530203,0.27006006,0.27501765,0.27422962,0.26834327,0.26571527,0.2789656,0.31403884,0.36243987,0.402038,0.41294584,0.39127228,0.35138726,0.31235063,0.28536832,0.27020645,0.26138076,0.25420156,0.24738602,0.24166222,0.23858364,0.23948522,0.2461294,0.2595794,0.27895585,0.29938903,0.3140659,0.31709972,0.3068469,0.28549123,0.25847143,0.2330945,0.21579516,0.20942551,0.21176998,0.22077186,0.23615368,0.259462,0.28757504,0.31391674,0.3315538,0.3383746,0.33574215,0.32625148,0.31243932,0.29777896,0.28763297,0.2894728,0.31060934,0.35226536,0.4029858,0.4408665,0.44640267,0.41816628,0.373794,0.33814666,0.3255156,0.33508447,0.35483754,0.37187055,0.3767769,0.36492804,0.33632937,0.29570764,0.25281647,0.21788733,0.19752036,0.19087915,0.19268616,0.19652908,0.19893433,0.20060278,0.20787454,0.23059678,0.27363527,0.3284528,0.37319538,0.38819727,0.36966503,0.33172488,0.29298675,0.2650219,0.24955392,0.24325871,0.24223973,0.24345583,0.24477036,0.2450837,0.24497943,0.24658234,0.25182942,0.2595447,0.26506373,0.26298943,0.25209,0.23594488,0.22084014,0.21104382,0.20802557,0.20947957,0.21217056,0.21285297,0.21209888,0.21214952,0.21539235,0.22053693,0.22561295,0.22989671,0.23537856,0.24371104,0.2548214,0.26715782,0.27923298,0.29099014,0.30533358,0.3283297,0.36444888,0.40903616,0.4462799,0.45887518,0.44147122,0.4050934,0.36785683,0.34214947,0.32827476,0.3178415,0.30139247,0.27586645,0.24661075,0.22319649,0.2125902,0.2154236,0.22851986,0.2478535,0.26927665,0.2864555,0.29156062,0.27998817,0.25602052,0.23476739,0.23656662,0.27352354,0.33796945,0.40148136,0.43317008,0.41954207,0.37283108,0.31812063,0.2759064,0.25303695,0.24560761,0.2465166,0.25008273,0.25323358,0.2548459,0.25538206,0.25713602,0.26283956,0.27302328,0.2840264,0.2899255,0.2872922,0.27774295,0.26643646,0.25775275,0.25340387,0.25275505,0.25445044,0.25702372,0.25923797,0.26030144,0.25995862,0.25859937,0.2570777,0.25637904,0.25658655,0.25695494,0.25663686,0.25603572,0.25608936,0.2575201,0.25986043,0.26243237,0.26423833,0.2644564,0.26223376,0.2578582,0.25270292,0.24886143,0.24820757,0.2523655,0.26177794,0.2742785,0.28438878,0.28650692,0.27912804,0.26663038,0.25620362,0.25347492,0.26032028,0.27485168,0.29312578,0.31058884,0.32429454,0.3333461,0.33874318,0.3420863,0.34528217,0.34908465,0.35222903,0.35105637,0.3430445,0.3292998,0.3145683,0.3024373,0.2921091,0.27941155,0.26147595,0.23984103,0.21911772,0.20325762,0.19319196,0.18744053,0.18408233,0.18202728,0.18068998,0.17965312,0.17825718,0.1764611,0.174657,0.17349248,0.17296453,0.17267114,0.17250822,0.17294528,0.17478909,0.17873317,0.18533213,0.19435465,0.2042435,0.21265872,0.21891458,0.22484975,0.23381834,0.24710031,0.26330468,0.2787614,0.28972986,0.2930593,0.2866213,0.270986,0.2489961,0.22622962,0.20628758,0.19139005,0.181049,0.1769932,0.18157439,0.19776769,0.22439575,0.25627005,0.28469637,0.30257925,0.30764425,0.30375817,0.29699627,0.2923881,0.2918755,0.2956079,0.3021252,0.30889377,0.3136392,0.3163903,0.32167387,0.33660898,0.36759093,0.41275385,0.4606525,0.49395847,0.50251687,0.4883411,0.4636077,0.43872392,0.41789016,0.39927545,0.38036942,0.35962895,0.33671772,0.3119965,0.28715143,0.26556608,0.25164485,0.24677627,0.24692726,0.24327324,0.23029912,0.21065168,0.1943543,0.19012798,0.20030324,0.2210607,0.24607706,0.2679981,0.27889228,0.27292717,0.25058267,0.22087447,0.19869292,0.19869983,0.22768529,0.28050876,0.34110627,0.39125672,0.4187479,0.4234537,0.41557372,0.41159642,0.42463148,0.45533404,0.48911592,0.5054342,0.49394572,0.46051168,0.42193678,0.39141798,0.37238017,0.358233,0.34004703,0.3128303,0.27950877,0.24880551,0.22947405,0.22512837,0.23342746,0.24826784,0.26296988,0.27144846,0.27088398,0.2624377,0.25312817,0.25265706,0.2714567,0.31340918,0.37212405,0.43011042,0.46948302,0.48331198,0.4780855,0.4654032,0.45158795,0.43796372,0.42439768,0.4131041,0.40523407,0.39923894,0.3906636,0.37637344,0.35700497,0.33779374,0.32395515,0.31645346,0.3095677,0.29608214,0.27326435,0.24625868,0.2242781,0.21468402,0.21899587,0.23260443,0.24782813,0.25735036,0.25723502,0.24669765,0.22779195,0.20526427,0.1881265,0.18637078,0.20604253,0.24312675,0.28693354,0.32474455,0.35015896,0.3639162,0.3753271,0.39510632,0.4265138,0.457754,0.46716294,0.4408293,0.3839046,0.32027185,0.27524135,0.26434773,0.28636894,0.32915005,0.37534752,0.41161954,0.43194175,0.43825343,0.43534508,0.42873177,0.42188025,0.41755882,0.4147948,0.41067258,0.3996463,0.38045704,0.35734296,0.34337482,0.35148218,0.3872573,0.43944356,0.48606122,0.506502,0.49519715,0.46292698,0.42609406,0.3961146,0.3739477,0.35571396,0.33733937,0.3181549,0.29853657,0.27925542,0.26125106,0.24756081,0.2403614,0.2379933,0.23238993,0.21551037,0.184914,0.14739732,0.11339095,0.092522986,0.088984065,0.10178181,0.12444556,0.14892997,0.16867083,0.18135892,0.18817647,0.1937484,0.20627622,0.23401499,0.27896246,0.3318168,0.3776417,0.40499616,0.41369903,0.4129291,0.41631863,0.4343705,0.46661934,0.49928522,0.5098145,0.48377672,0.42293715,0.34825492,0.2846854,0.2509072,0.24770057,0.26143575,0.27178752,0.26588956,0.24443245,0.21874647,0.20120573,0.19831474,0.21103597,0.23672394,0.2703129,0.30323565,0.32684442,0.33766603,0.34138894,0.35015976,0.37441048,0.4137527,0.45539072,0.48204803,0.485716,0.47143546,0.45184287,0.435384,0.42421523,0.41603068,0.4087496,0.4000785,0.38799942,0.37077817,0.3490027,0.3259913,0.3077819,0.29976058,0.30308995,0.31247512,0.319351,0.31642756,0.30151936,0.27721494,0.2496224,0.22515023,0.20811544,0.19909906,0.19661267,0.19933741,0.20642173,0.2164132,0.2262624,0.23322028,0.235712,0.23445992,0.23145378,0.22993599,0.23185922,0.2371249,0.24484055,0.25885484,0.287889,0.33640122,0.39407822,0.43603277,0.44113794,0.4057887,0.34842756,0.29438195,0.2657435,0.27081788,0.30493686,0.35183027,0.39370242,0.4188334,0.42618,0.42097977,0.4103162,0.3988639,0.38925123,0.38161173,0.37496352,0.36755273,0.3587726,0.35104963,0.35178176,0.37097833,0.41312575,0.46898904,0.5163567,0.53486246,0.51960546,0.48449552,0.44758812,0.41964856,0.39953518,0.3825263,0.36489198,0.34589455,0.32537615,0.30425158,0.2852418,0.27280605,0.2700132,0.27505136,0.28053883,0.27748978,0.26156363,0.23596902,0.20960857,0.1915455,0.18743412,0.19742607,0.2171722,0.23926999,0.25689852,0.265452,0.26396737,0.25511482,0.24750018,0.2530701,0.28089216,0.32748818,0.37787715,0.41398343,0.42740867,0.42291465,0.41534042,0.41993773,0.44171524,0.4696391,0.48064145,0.45619443,0.3947114,0.31518495,0.24381328,0.20125014,0.19093591,0.20114654,0.21254146,0.21287757,0.20269507,0.19274957,0.19254379,0.20533244,0.2281187,0.25620198,0.28308344,0.30143812,0.30425826,0.29065764,0.26863933,0.25549453,0.26904622,0.31590238,0.38375518,0.44828367,0.48997045,0.50491613,0.501373,0.48849845,0.47082493,0.4509175,0.4320641,0.4178423,0.4091328,0.40406886,0.39917442,0.3915598,0.3806977,0.36890087,0.35948452,0.35357174,0.3493146,0.34420744,0.3369675,0.32719994,0.31386817,0.29729077,0.2804936,0.2688817,0.26470938,0.26515675,0.26221183,0.24969576,0.2279411,0.208857,0.20894112,0.23966391,0.29577604,0.3597258,0.4114559,0.44135126,0.45081672,0.44968382,0.4496113,0.45801076,0.47226265,0.4788054,0.46411613,0.42593083,0.3782688,0.34038815,0.32542813,0.3343576,0.36035025,0.39338923,0.42399678,0.44468114,0.45246243,0.4491608,0.43991837,0.42976984,0.42137265,0.41465715,0.4076245,0.39806917,0.38462988,0.3688717,0.35637665,0.35669884,0.37801158,0.41930357,0.466122,0.4966302,0.4964771,0.46808,0.42876795,0.39642465,0.3800371,0.3770045,0.38003173,0.38252428,0.38190827,0.37849268,0.37356016,0.3675567,0.3602365,0.35099018,0.3396084,0.32611668,0.31132755,0.29671884,0.28435388,0.27599633,0.2723942,0.27177584,0.2699058,0.2620872,0.24872516,0.23777242,0.24136192,0.26634187,0.3086009,0.35609102,0.39749146,0.42768362,0.4459999,0.45247182,0.44690177,0.4326884,0.4186306,0.4171237,0.43387827,0.46156684,0.47934842,0.46860787,0.4259009,0.3675259,0.3161495,0.28658172,0.27808502,0.27890936,0.27546656,0.2613893,0.23919082,0.21564174,0.19389682,0.17332834,0.15406905,0.14197087,0.14395244,0.16227227,0.19125389,0.22234006,0.24999757,0.27586702,0.3084623,0.35488525,0.41304824,0.46846318,0.5048366,0.51492554,0.5023861,0.47647902,0.44469056,0.4140785,0.38858676,0.3695412,0.35358298,0.33656356,0.31630608,0.29413536,0.27444208,0.26120508,0.25462165,0.24855709,0.2346233,0.2087758,0.17566137,0.14597316,0.12973106,0.13160485,0.14921881,0.17512667,0.1990664,0.21307762,0.21436387,0.2068659,0.19750357,0.19371147,0.20013946,0.21798776,0.24380885,0.27151296,0.29505873,0.31097198,0.32003325,0.3283945,0.34766355,0.38650274,0.44097936,0.48983514,0.50826675,0.48403618,0.4263241,0.3568567,0.29821375,0.2646078,0.25875923,0.27145886,0.28704152,0.2921356,0.28254652,0.26268044,0.24083297,0.225661,0.22352803,0.23751922,0.26459888,0.29816142,0.32971177,0.35446647,0.37048295,0.37994364,0.38542363,0.3901281,0.39504305,0.40003833,0.40370968,0.40533838,0.40435755,0.4000611,0.39093146,0.3762305,0.35734364,0.33791646,0.32140163,0.30887893,0.2990868,0.2903031,0.2818236,0.27371004,0.26565638,0.2563568,0.2434838,0.22542147,0.2033618,0.18298805,0.17247821,0.17709291,0.19453977,0.21499045,0.22870767,0.23244153,0.23125589,0.23157036,0.23617834,0.24308944,0.2499231,0.2555834,0.25996292,0.2618598,0.26023602,0.25476217,0.24693553,0.23798466,0.2292887,0.22165717,0.2161647,0.21272455,0.2102653,0.20712166,0.20264836,0.19756787,0.19366641,0.19233447,0.19375114,0.19656968,0.19907618,0.20009254,0.1994832,0.19776039,0.19565235,0.1938288,0.19248205,0.19146891,0.1904974,0.19009604,0.19298701,0.20601076,0.23998208,0.30280557,0.3891985,0.47586593,0.5324674,0.5408917,0.5065238,0.45255074,0.40327096,0.37292215,0.3627044,0.3660564,0.3735493,0.37802824,0.37625384,0.36874184,0.3578302,0.34640834,0.3365728,0.3277725,0.31631967,0.2982876,0.2740396,0.24950741,0.2318428,0.22427422,0.22368719,0.2242227,0.22089712,0.21307881,0.2028503,0.19308765,0.1848032,0.17821904,0.17429824,0.174882,0.18055598,0.18910886,0.19743305,0.20360701,0.20941348,0.22077894,0.24932468,0.30451658,0.382622,0.4585677,0.498598,0.48340014,0.42170724,0.34397256,0.28065526,0.24819894,0.24296057,0.24925412,0.24995275,0.23720135,0.2144228,0.18970515,0.16863509,0.15103687,0.13428037,0.11646631,0.09825333,0.08166317,0.068351306,0.060516637,0.06433132,0.09364431,0.16342749,0.27601406,0.40959415,0.52462214,0.5865741,0.5849657,0.5381115,0.47635293,0.42616892,0.39742818,0.38708118,0.38569382,0.38628754,0.38611856,0.38532248,0.3846569,0.3846163,0.38549185,0.38681373,0.3871071,0.3849963,0.38008606,0.37350467,0.3663639,0.35976017,0.35412526,0.34984314,0.34620535,0.34235105,0.33724466,0.3309535,0.32434344,0.3202302,0.32344016,0.33835086,0.3656448,0.3989458,0.4293287,0.4485334,0.45569214,0.45586944,0.4607365,0.47975144,0.51335436,0.54685646,0.5600815,0.5418954,0.4999853,0.4536612,0.419747,0.40290177,0.398149,0.39745855,0.39651886,0.39468852,0.3938689,0.39445797,0.39543763,0.39545813,0.39511338,0.3965135,0.40044752,0.40514454,0.40632835,0.40191427,0.39486536,0.39496943,0.4120809,0.44765547,0.48928133,0.51690805,0.5166842,0.48956108,0.45027936,0.41508615,0.3945632,0.38907754,0.39360884,0.39977705,0.40161029,0.3962498,0.3858395,0.37366548,0.36309054,0.35414612,0.34495533,0.3314177,0.31180477,0.28729102,0.26275513,0.24226041,0.2280575,0.21941395,0.21418452,0.20908974,0.2018132,0.19270408,0.18445724,0.17945337,0.17782198,0.17884411,0.18302763,0.19137089,0.20347477,0.21621259,0.22643398,0.23302656,0.24067573,0.25964025,0.3017585,0.367741,0.44101262,0.49210715,0.501223,0.4692886,0.4190649,0.37362337,0.34608436,0.33299494,0.32496664,0.31271586,0.29317302,0.2680827,0.24157564,0.21699625,0.1950438,0.1739045,0.15129186,0.12658207,0.10213979,0.081269115,0.06826435,0.06931447,0.096247874,0.16122676,0.26649222,0.3930783,0.50573987,0.57028776,0.57326275,0.5275796,0.46188736,0.40287742,0.36287543,0.34115934,0.33511296,0.35010716,0.39582482,0.47184548,0.5565885,0.6151489,0.62154484,0.5757147,0.50154513,0.42766464,0.3717951,0.3364018,0.318298,0.3174177,0.33780882,0.37810597,0.42332372,0.4500308,0.44306532,0.40770411,0.36306205,0.32506824,0.29609254,0.27042842,0.24433143,0.2200105,0.20121767,0.18869008,0.17990565,0.17179364,0.16331184,0.15502186,0.14861059,0.14485538,0.14364515,0.14277548,0.14020295,0.13537449,0.13090335,0.13006002,0.13387357,0.13976276,0.14367925,0.14347166,0.1401822,0.13665728,0.13503832,0.13538551,0.1363102,0.1361352,0.13381417,0.12885198,0.12120756,0.11120856,0.09953628,0.087073624,0.074819736,0.06403502,0.05599168,0.051363647,0.049382355,0.048293334,0.0462964,0.042817518,0.038288318,0.033667937,0.029592076,0.026307523,0.023701316,0.021560663,0.019710604,0.018058565,0.01656086,0.015162245,0.013781545,0.012366754,0.010900999,0.009461771,0.0081250025,0.0069709807,0.005982974,0.0051398533,0.0044036345,0.0038178444,0.003924163,0.0062575713,0.013612744,0.027913624,0.047944892,0.06779743,0.08070898,0.08327667,0.07817533,0.07095664,0.06641068,0.06687427,0.0729421,0.08421803,0.09839743,0.1117368,0.120000415,0.12054936,0.11325861,0.100738265,0.08771423,0.078927405,0.07689131,0.080142744,0.083742656,0.08223312,0.07290933,0.058091134,0.043246124,0.033802312,0.031986285,0.03705171,0.0468204,0.05945124,0.07332533,0.086826116,0.097754724,0.10426957,0.105369896,0.1023219,0.09793263,0.09546713,0.096083336,0.099203594,0.103529625,0.10859251,0.113666,0.1173017,0.118108176,0.11628404,0.11335885,0.11042884,0.1074918,0.104118936,0.100373365,0.096329264,0.09143823,0.08457168,0.07490903,0.062707566,0.04939656,0.03707688,0.027563429,0.02166099,0.01890848,0.018013075,0.017501393,0.016279908,0.013924941,0.011289067,0.011025618,0.017850822,0.035503123,0.06286385,0.09085303,0.10730525,0.10526074,0.08998826,0.075445205,0.07425583,0.08897516,0.11212742,0.13354729,0.14699978,0.15202971,0.15107845,0.14677167,0.1413161,0.13640918,0.13324016,0.13114823,0.12914455,0.12699838,0.12655392,0.12925918,0.13452841,0.13976137,0.1427964,0.14348154,0.14290383,0.1419829,0.14075792,0.13905972,0.13690424,0.1344766,0.13182883,0.12898219,0.12607019,0.123438865,0.121535115,0.12077757,0.121188335,0.122120924,0.12251449,0.12178893,0.120339066,0.11882812,0.11689987,0.11294603,0.10558357,0.095153816,0.083754025,0.07353339,0.06539994,0.058937535,0.05347341,0.04868974,0.044636607,0.04131579,0.038573045,0.03616889,0.033913914,0.031736914,0.029707348,0.02803111,0.026900822,0.026336769,0.026094079,0.025774816,0.025028715,0.02376777,0.022631021,0.023334468,0.02877192,0.040873922,0.058552086,0.07613021,0.08747833,0.09006724,0.0881927,0.08849797,0.095404536,0.10802573,0.12254763,0.13527541,0.14382547,0.14771341,0.14747308,0.14521831,0.14258581,0.1405558,0.13819598,0.13406137,0.1264774,0.11533129,0.10256254,0.092049144,0.08756536,0.090002656,0.09649647,0.10079344,0.09751725,0.084660284,0.06644343,0.05025837,0.044002846,0.051030457,0.06962184,0.09330011,0.11515636,0.13039917,0.13815276,0.13975243,0.13742453,0.13303314,0.12789495,0.12243583,0.116067864,0.10794735,0.097951494,0.08724862,0.07770638,0.071136475,0.069162,0.07303831,0.08303713,0.09709228,0.11121719,0.1212059,0.12565517,0.12649767,0.12775481,0.1319877,0.13871624,0.14491452,0.14795095,0.14734517,0.14453171,0.14111911,0.13801634,0.13536905,0.13324992,0.13140768,0.12997504,0.12924188,0.13018614,0.13328236,0.13849616,0.14490421,0.15141143,0.15693308,0.16089867,0.16339497,0.16489922,0.16566487,0.16522074,0.16241771,0.15601195,0.14591496,0.13459645,0.12650041,0.12550937,0.13144349,0.14059405,0.14827621,0.15237604,0.15306246,0.15171969,0.1498347,0.14894123,0.15021543,0.15293576,0.15413104,0.14938666,0.13586444,0.11447684,0.09078213,0.07288697,0.06812435,0.079031944,0.10190502,0.1281706,0.14939852,0.1612155,0.16485976,0.16452162,0.16463552,0.16744031,0.17289907,0.17897116,0.18339796,0.18474324,0.18334413,0.18046005,0.17757551,0.17508273,0.17231242,0.16786315,0.16144878,0.15460731,0.15044726,0.15113322,0.1563477,0.16310243,0.16806982,0.16935569,0.16711903,0.1621411,0.15460214,0.14404137,0.13067192,0.116826035,0.10652553,0.10393226,0.11052498,0.12457442,0.14158863,0.15733884,0.16879816,0.17490368,0.17567451,0.17322059,0.1714446,0.17444883,0.18297048,0.193282,0.19918449,0.19612406,0.18369043,0.16561496,0.14725716,0.1322238,0.120096825,0.10755688,0.09185896,0.07375619,0.05665688,0.044001978,0.037301943,0.036721185,0.04181735,0.051363166,0.06223172,0.07036073,0.07371789,0.07585504,0.0843106,0.105340876,0.13781817,0.17458987,0.20780058,0.23444414,0.25506726,0.27005768,0.27657363,0.2710087,0.2525352,0.22632737,0.20105153,0.18570738,0.18544519,0.20115714,0.22833832,0.25812745,0.27952853,0.28461906,0.27147356,0.24381919,0.20784812,0.17119475,0.14286159,0.1320975,0.14303324,0.17018162,0.19930364,0.21582274,0.21316038,0.19494492,0.16976388,0.14511453,0.12544817,0.11414649,0.115655005,0.13380313,0.168585,0.21364276,0.25865832,0.2931051,0.31024048,0.30931482,0.29584363,0.27821967,0.26058263,0.23985203,0.21069896,0.17453553,0.14160556,0.12412789,0.12936473,0.15736808,0.2030623,0.25663367,0.305966,0.34082416,0.3577355,0.35955498,0.35121396,0.3361663,0.31597388,0.29169932,0.26367417,0.23146349,0.19522488,0.15876314,0.12941723,0.11444926,0.115701675,0.12893875,0.14656334,0.16251254,0.17370957,0.17960621,0.18040907,0.17693727,0.17080641,0.16411705,0.1583661,0.15473856,0.15528648,0.16290025,0.178403,0.19741674,0.21174783,0.21421124,0.2034996,0.1837186,0.1610045,0.13985638,0.122121714,0.10772538,0.095800065,0.085522115,0.07614047,0.066956125,0.057390854,0.04754427,0.038165085,0.030254157,0.024368294,0.020840483,0.020192726,0.023368219,0.030774666,0.041139115,0.05111916,0.056926336,0.056909326,0.053994287,0.05498233,0.06763192,0.09497988,0.13352722,0.17410038,0.20796277,0.229894,0.23974429,0.24083358,0.23877044,0.24041289,0.2509528,0.27194187,0.29888436,0.32368168,0.33780685,0.3368645,0.32050195,0.29090688,0.2509533,0.20558457,0.16214396,0.12868041,0.10938144,0.10264,0.10186717,0.100473106,0.09522786,0.08815626,0.08393199,0.08720956,0.09917912,0.11671757,0.13366893,0.14502555,0.1490479,0.14586808,0.1343561,0.11343763,0.086177915,0.061479513,0.05013244,0.05832572,0.08438162,0.119262934,0.15133624,0.17166893,0.17778225,0.17330651,0.16439156,0.15638022,0.15144575,0.14900362,0.14666505,0.14242549,0.13537197,0.12576924,0.11423164,0.10146749,0.08828769,0.07563064,0.06448855,0.055509757,0.048801377,0.043846417,0.03994337,0.036621958,0.03398897,0.033034023,0.035984408,0.04602773,0.0657158,0.095032655,0.13085574,0.1691202,0.20671487,0.2420212,0.2723738,0.29370582,0.30140987,0.29427874,0.27544966,0.2519508,0.23112996,0.21855901,0.21669269,0.22519495,0.2411573,0.25964215,0.27514946,0.28374973,0.28528377,0.28326938,0.28242344,0.28459442,0.2874535,0.28671017,0.2802365,0.26844525,0.2526192,0.23360823,0.21462108,0.20207904,0.20237076,0.21558927,0.23394632,0.24686551,0.24774384,0.2372753,0.22012351,0.20169939,0.18554248,0.17492567,0.17181568,0.17649944,0.18708108,0.20277609,0.2258647,0.25831857,0.2962174,0.3277547,0.3415122,0.334797,0.31636396,0.29859853,0.28987125,0.29117033,0.29910517,0.30995786,0.3222005,0.33628187,0.35262156,0.37075076,0.3895057,0.40837166,0.42620805,0.44056916,0.44790205,0.44713512,0.4409673,0.43421045,0.42991528,0.42818514,0.42741868,0.42604974,0.4228215,0.41721287,0.40953538,0.40080118,0.39158058,0.38177863,0.37135994,0.36080825,0.35071233,0.34113482,0.33196688,0.3236353,0.31732795,0.31417885,0.3150585,0.3190832,0.32446098,0.3276792,0.32739568,0.3237966,0.3203239,0.3196461,0.32434627,0.3339162,0.34564856,0.35348126,0.3525832,0.3418554,0.32591054,0.31114873,0.30284396,0.30308655,0.31154105,0.32593954,0.34258762,0.35765478,0.36849084,0.3746717,0.37705305,0.37737867,0.37705764,0.37760103,0.37933958,0.38234076,0.38574162,0.3891231,0.39217523,0.39547908,0.40016142,0.407024,0.4158235,0.42477715,0.43211424,0.4366165,0.43869737,0.4393789,0.44050112,0.4425844,0.4452449,0.4463084,0.44554183,0.4439141,0.4446478,0.44864288,0.45588425,0.46349633,0.46934497,0.4707947,0.46787104,0.4616525,0.4546025,0.447993,0.4420582,0.4362507,0.43026292,0.42441538,0.41955283,0.41654107,0.41561356,0.41642824,0.41853788,0.42217192,0.4270887,0.432117,0.43477747,0.4337264,0.42951426,0.42440262,0.4205227,0.41941205,0.42172614,0.42651793,0.43049166,0.4297677,0.4230295,0.41313657,0.4047332,0.4006035,0.40030524,0.40147316,0.4022224,0.40166262,0.40005314,0.3979231,0.3962902,0.3960687,0.3981692,0.4023464,0.4070691,0.4090483,0.40599275,0.3977295,0.38773966,0.37916103,0.3736503,0.3698152,0.36729357,0.3667576,0.36967185,0.375039,0.38057128,0.38529265,0.3911825,0.401612,0.41678497,0.43344554,0.4460053,0.45185614,0.45113173,0.446346,0.43882242,0.42994824,0.4211912,0.41461515,0.4106214,0.407908,0.40481552,0.4006412,0.39560106,0.38940647,0.38233766,0.3754823,0.3710825,0.3698751,0.37080595,0.3718581,0.37251103,0.373723,0.376758,0.38132012,0.385628,0.38709474,0.3844478,0.37818655,0.3707122,0.36448637,0.36170015,0.36354327,0.36996672,0.3784827,0.38487652,0.38550055,0.37983695,0.37061313,0.3619573,0.357381,0.35864744,0.36530468,0.37479603,0.38364068,0.3891517,0.39080557,0.3899502,0.3886732,0.38766292,0.3855139,0.37976658,0.36998367,0.35967794,0.3542794,0.35765073,0.36905587,0.38479123,0.40022805,0.41229627,0.41981712,0.423589,0.42534027,0.42664585,0.42823365,0.43069172,0.43419373,0.43834552,0.44148788,0.4424144,0.44144246,0.44018435,0.44050702,0.4426848,0.44651055,0.4498862,0.4514928,0.44991574,0.44640386,0.4419391,0.43722573,0.43130216,0.4239377,0.41614994,0.40978888,0.40618595,0.40585414,0.40856037,0.41324756,0.41783234,0.42072883,0.42219284,0.42429924,0.42848587,0.43375874,0.43784508,0.43933412,0.439159,0.43911028,0.44076538,0.444109,0.4474949,0.44808468,0.44401565,0.4362159,0.4278042,0.42144355,0.41753855,0.4149483,0.41290095,0.41128063,0.41032842,0.4095907,0.4089192,0.40824533,0.4086022,0.41086173,0.41561437,0.42130163,0.42492768,0.4235702,0.41692555,0.40758085,0.3988591,0.39324722,0.3914704,0.3936447,0.39929804,0.40786156,0.41807827,0.42796314,0.43533656,0.4394766,0.4417173,0.44414744,0.44693735,0.44816104,0.44555792,0.43900156,0.43037894,0.4218715,0.41428804,0.4069109,0.39862445,0.38902757,0.37856278,0.3678104,0.35679737,0.3454272,0.33458874,0.32643238,0.3230209,0.32436967,0.3279623,0.3307539,0.33128944,0.33108306,0.33292007,0.33932063,0.35011768,0.36285317,0.37354293,0.3793466,0.37952638,0.37597132,0.37191364,0.3706669,0.37312698,0.37691012,0.3771379,0.3705006,0.35770783,0.34369126,0.33479655,0.33639243,0.35124978,0.3776938,0.40948918,0.43757913,0.45548546,0.462021,0.46098864,0.45705208,0.45320842,0.45053282,0.44932815,0.44966045,0.45084777,0.4508085,0.44762442,0.44092,0.43425676,0.43227074,0.43830076,0.45037425,0.46336636,0.47173616,0.47337374,0.46940687,0.4631995,0.45764485,0.45434585,0.45217434,0.44992602,0.44684625,0.44451582,0.44408706,0.44612134,0.44980273,0.45355812,0.45548734,0.45372805,0.44859865,0.44116715,0.4327655,0.42298982,0.41270554,0.4039789,0.40001634,0.40146387,0.40718532,0.41496328,0.4233642,0.43076745,0.4355624,0.43732843,0.43743816,0.4377986,0.4382415,0.43710878,0.43316782,0.42800784,0.42450282,0.42542318,0.43091944,0.4391285,0.44603145,0.44866177,0.4461521,0.44083694,0.4351596,0.43068174,0.427184,0.42460796,0.42268124,0.42132768,0.4198978,0.41823784,0.41635346,0.4148171,0.4140842,0.41483584,0.41693684,0.41918525,0.41942176,0.41600648,0.40901527,0.39953014,0.38922802,0.37928733,0.37130186,0.36634508,0.36493054,0.36634383,0.3698478,0.37554598,0.3845888,0.39738727,0.41193858,0.42372942,0.429078,0.42802814,0.42466268,0.42303357,0.42410794,0.42557618,0.4248772,0.4215608,0.4174994,0.41584012,0.41824913,0.42393255,0.42922378,0.43142214,0.43039653,0.42898974,0.42950317,0.43242678,0.43680373,0.44182184,0.44715998,0.45207796,0.45532206,0.4554963,0.4524947,0.44776776,0.44389203,0.44247496,0.4434614,0.44548786,0.44849852,0.4532627,0.4603326,0.46738112,0.4715805,0.47156867,0.4693613,0.46791205,0.46934983,0.4737269,0.47938237,0.48376408,0.48522973,0.48452747,0.48381767,0.48434234,0.48461393,0.48222032,0.47460258,0.46040952,0.43918046,0.4139832,0.39133695,0.378459,0.37813386,0.3870481,0.39845538,0.406404,0.40745464,0.40112874,0.3887944,0.374084,0.36165252,0.35655797,0.36120033,0.3733535,0.38580418,0.39083347,0.385695,0.37450024,0.3649217,0.36219394,0.36734352,0.377126,0.38799492,0.39651346,0.4020338,0.40467644,0.4057951,0.4056494,0.40493038,0.40412793,0.40358925,0.40218914,0.398579,0.39305696,0.38805243,0.38674724,0.39052305,0.39924368,0.41041684,0.42185327,0.43119207,0.43919042,0.44649315,0.45443535,0.46227667,0.47036055,0.47769782,0.48253492,0.4812217,0.47272834,0.45889008,0.44386652,0.4302256,0.41979027,0.41382203,0.4133016,0.4169935,0.42166436,0.42505655,0.4267179,0.4279542,0.42767355,0.42376423,0.413487,0.3965766,0.3737899,0.34690937,0.31935343,0.29551676,0.27871713,0.26745194,0.25913167,0.25406638,0.25779533,0.27375582,0.29873848,0.32320127,0.33954975,0.34557235,0.3444231,0.3398849,0.33504608,0.33156264,0.32997513,0.32997707,0.33023795,0.32973936,0.32734346,0.32299647,0.31726077,0.3116046,0.30712497,0.3041757,0.3023628,0.30136573,0.30111304,0.30170476,0.30252063,0.30241773,0.3004531,0.29756856,0.29573223,0.29687214,0.3009751,0.30762205,0.31543776,0.3229275,0.32737955,0.32759643,0.32424042,0.31999603,0.3168005,0.31569353,0.317044,0.32142267,0.32820532,0.33485642,0.33772492,0.33485356,0.32759452,0.31957224,0.31429687,0.313238,0.3158244,0.31970504,0.3224325,0.32274637,0.32223836,0.32407543,0.33162713,0.346045,0.36632404,0.38922,0.41083476,0.42771256,0.43772474,0.44019827,0.43494,0.42341676,0.40901005,0.3979403,0.39529228,0.40235245,0.4144208,0.4249153,0.4291295,0.4280362,0.42525744,0.42398217,0.42303288,0.42017445,0.4139684,0.40608934,0.3980495,0.3911557,0.3860247,0.38445377,0.38774666,0.39536166,0.4037979,0.40871713,0.40797803,0.40318266,0.39811692,0.3961794,0.39790487,0.40185058,0.40519595,0.40685913,0.40681812,0.4065715,0.40761438,0.41181675,0.41985843,0.42924652,0.43536127,0.4343011,0.4267389,0.4158336,0.40606865,0.4005972,0.40162644,0.4073318,0.41204026,0.40895927,0.39601648,0.3776835,0.36144018,0.352874,0.35382473,0.36358574,0.38022515,0.40003684,0.41883907,0.43397745,0.44904825,0.4727036,0.51510525,0.5748922,0.6367015,0.67203873,0.66142756,0.60102725,0.5101308,0.4121515,0.33052358,0.27568194,0.25032446,0.24551333,0.25017273,0.2532111,0.2517452,0.24739327,0.24632299,0.25077972,0.25877932,0.26110423,0.25053748,0.2260092,0.19625793,0.17155421,0.15807754,0.1547089,0.1566456,0.15899664,0.1589915,0.15693547,0.154877,0.1553721,0.15898429,0.16493015,0.17165256,0.17837268,0.18444431,0.18918693,0.19166453,0.19304521,0.20026648,0.22844253,0.29326156,0.39425912,0.5044007,0.5789718,0.5860712,0.52509207,0.42850414,0.33571577,0.2749404,0.24979188,0.2470959,0.2475875,0.23934595,0.22079627,0.19795166,0.1789496,0.17371291,0.19069456,0.23229997,0.28790414,0.339148,0.37034237,0.37875262,0.37454125,0.3762771,0.40326834,0.46294203,0.54133654,0.6051376,0.6257632,0.597572,0.54207337,0.48557067,0.4444572,0.4179096,0.3989556,0.3807267,0.36240387,0.34538314,0.33176354,0.3211442,0.31399396,0.31092983,0.3123494,0.313663,0.30866396,0.29376018,0.27316198,0.25401273,0.24056254,0.2297945,0.21591692,0.19604145,0.17375429,0.15557344,0.1456086,0.14298785,0.14459802,0.1490007,0.15672195,0.16735466,0.17827912,0.18593027,0.18901294,0.18952775,0.19595353,0.22391884,0.2908432,0.3981761,0.5199955,0.6075645,0.622423,0.5582637,0.45035586,0.34513083,0.27894884,0.25649372,0.26277944,0.27453336,0.2783083,0.2717905,0.26150063,0.2557924,0.26287568,0.2877389,0.3294942,0.37765393,0.41681716,0.43429148,0.42940685,0.4134611,0.40591726,0.4247841,0.47587946,0.5461137,0.60612005,0.63029987,0.6106234,0.563162,0.51053226,0.47106495,0.44907668,0.44098675,0.43877077,0.43618032,0.4290246,0.41510403,0.39312926,0.3656286,0.33848092,0.31794044,0.30286977,0.2868303,0.26328042,0.23370849,0.20499928,0.18452047,0.17453505,0.17196684,0.1711313,0.16718328,0.15976383,0.1518452,0.14770326,0.14869587,0.1548567,0.16484803,0.17783426,0.19097012,0.20169151,0.20766492,0.21024324,0.2151833,0.23646073,0.29140425,0.3858633,0.50022405,0.5903406,0.6174643,0.5704687,0.47687307,0.3768376,0.30417284,0.26766375,0.25837782,0.25768578,0.25175616,0.23552091,0.21231979,0.18918486,0.1754341,0.18243337,0.21751188,0.27690935,0.3421267,0.39184448,0.4141645,0.41520724,0.413121,0.42964676,0.4761074,0.54778975,0.62131995,0.67231184,0.6862739,0.67088693,0.6424734,0.61821955,0.6039658,0.5989194,0.5986198,0.6001404,0.60217935,0.60392976,0.6044151,0.6014829,0.5932901,0.5795491,0.56347877,0.550536,0.5452015,0.5484219,0.5571191,0.56751275,0.5765211,0.58334094,0.58766395,0.5898903,0.59049416,0.59044456,0.5908355,0.5923007,0.5951393,0.59864527,0.60152084,0.601886,0.5990243,0.59409046,0.58963877,0.5873427,0.58654916,0.5851715,0.58195823,0.57809037,0.57598615,0.5774651,0.58177656,0.58645254,0.5879559,0.58393973,0.5737515,0.559637,0.54540366,0.5346698,0.5283239,0.5248094,0.5220897,0.5208053,0.5235304,0.53288835,0.5481637,0.56634337,0.5840064,0.599328,0.61297446,0.6277952,0.648669,0.6773775,0.7071553,0.72354263,0.7131185,0.67648077,0.62678725,0.58327645,0.55709416,0.54964346,0.5529801,0.5576932,0.55804944,0.5538275,0.5485437,0.5440337,0.5400002,0.5319935,0.5141432,0.47940338,0.42640093,0.36190763,0.30007336,0.2528499,0.22366603,0.20808043,0.19952978,0.19377904,0.18824697,0.18219988,0.17624779,0.17254119,0.17194898,0.1736958,0.17583519,0.17819913,0.18106449,0.18519281,0.18886435,0.19120301,0.19474013,0.21152331,0.25954893,0.34859273,0.46467665,0.5685096,0.6198526,0.6004754,0.5254989,0.42779973,0.34235063,0.28930238,0.27032724,0.26977798,0.26879248,0.2569406,0.23626982,0.2134613,0.1932782,0.17852227,0.17271169,0.1791358,0.19676267,0.21957672,0.24072032,0.25899282,0.2819681,0.32476345,0.398322,0.49926528,0.60277826,0.67856264,0.7071374,0.694611,0.6626005,0.6338945,0.6189809,0.6159398,0.6176868,0.6179032,0.6148718,0.60908955,0.6016071,0.5903103,0.5692701,0.5313515,0.47345468,0.40159342,0.32807556,0.26575813,0.22077042,0.19244975,0.17670578,0.16944672,0.1681573,0.1699558,0.17280526,0.17434876,0.17443256,0.17365189,0.17503047,0.18093383,0.19194986,0.20422237,0.21211095,0.21127176,0.20233446,0.19319142,0.199991,0.24384467,0.33588788,0.46224523,0.58032274,0.6428424,0.625554,0.54304296,0.4348332,0.34317923,0.2919732,0.28117833,0.29244718,0.30420196,0.30473912,0.29501867,0.28257394,0.27322558,0.26930344,0.2704107,0.27524018,0.28126097,0.2858282,0.2878681,0.2913067,0.3061352,0.34708354,0.4221479,0.5213125,0.6134224,0.6643589,0.6604331,0.6162552,0.5618568,0.52006495,0.49878517,0.49253044,0.49308082,0.49363932,0.49187723,0.48773858,0.48126924,0.47014272,0.4504938,0.4191337,0.37662897,0.3269553,0.27651852,0.23152585,0.19694841,0.17508179,0.16475059,0.16160308,0.16028349,0.15728517,0.15344238,0.15158987,0.15499698,0.16301574,0.17415921,0.18552993,0.19631852,0.20470089,0.2094624,0.20880045,0.20364563,0.19926691,0.20891798,0.2518057,0.34080622,0.4669257,0.5927847,0.6726959,0.6784063,0.6168702,0.5194139,0.4236493,0.35466483,0.31978405,0.30910113,0.30526093,0.29325876,0.2675834,0.2313823,0.19211973,0.15776826,0.13300706,0.11798609,0.10796937,0.09801975,0.08596336,0.0744876,0.06957012,0.0810568,0.12058512,0.19764896,0.3103595,0.44307506,0.5704524,0.6714054,0.73636746,0.76917964,0.77890366,0.77514005,0.7645529,0.7516871,0.7390148,0.7267616,0.71474886,0.70217425,0.69047326,0.6806383,0.6753828,0.67473763,0.6793371,0.68690413,0.69764215,0.709687,0.7230864,0.73453385,0.74260753,0.7448421,0.7425185,0.73783547,0.7350724,0.73597455,0.73900646,0.7392637,0.73289347,0.7201037,0.70572966,0.69612527,0.694822,0.70100003,0.709632,0.7157404,0.715564,0.7094026,0.6996093,0.6900627,0.6828885,0.6777167,0.67272645,0.6657888,0.6565042,0.64538175,0.63464683,0.6266765,0.6228609,0.6224034,0.62299114,0.62287754,0.6227043,0.62364393,0.6269725,0.630142,0.6321232,0.63131094,0.6308503,0.6302881,0.6283693,0.6185998,0.59897447,0.5721262,0.54893,0.5384767,0.5431528,0.55438334,0.56069833,0.55480987,0.53791183,0.51597184,0.49444163,0.47569335,0.45961156,0.44571033,0.43420717,0.42510462,0.41815078,0.41153455,0.40406457,0.39446166,0.38307276,0.37006888,0.3565478,0.3434669,0.33207157,0.32253194,0.31405422,0.30533683,0.29590246,0.2864907,0.27832225,0.27193868,0.2669538,0.26283622,0.25953436,0.25718975,0.25541556,0.2534345,0.2506914,0.24741848,0.24411863,0.24113365,0.23836721,0.23581535,0.2335629,0.23168492,0.22970653,0.22678019,0.22232491,0.2167238,0.21144605,0.20793451,0.20665078,0.20653097,0.20601983,0.20421942,0.20159252,0.19926234,0.1979952,0.19762816,0.1976291,0.1976573,0.19792308,0.19874156,0.20016944,0.20166247,0.20224889,0.20116746,0.1983305,0.19453609,0.19073296,0.18756038,0.18490529,0.18222755,0.17919058,0.17601477,0.17354554,0.17218809,0.17164986,0.17101187,0.16979696,0.16829848,0.1670447,0.16627236,0.16560839,0.16484314,0.16393888,0.1630797,0.16193642,0.15990403,0.15650117,0.1520354,0.1473781,0.1433456,0.14016616,0.13756825,0.13511415,0.13257347,0.1299444,0.12735687,0.12479422,0.12201336,0.11890393,0.1156764,0.112929635,0.11106154,0.11012877,0.10980749,0.10980175,0.10990425,0.10999002,0.1098228,0.10911497,0.107643306,0.105387695,0.102479875,0.098755695,0.093287654,0.08432501,0.07075953,0.05403854,0.039005414,0.03164037]