[2.5307469E-05,8.276737E-05,0.0007708201,0.0036065069,0.0111108655,0.024934247,0.044053644,0.063887954,0.07925582,0.08729273,0.08911273,0.087681174,0.08560165,0.08388152,0.08261312,0.08172173,0.081336,0.081469335,0.08190445,0.082025,0.081383206,0.079755515,0.0775102,0.07503763,0.073078364,0.07247573,0.07472777,0.08062629,0.089549996,0.09828279,0.10321269,0.10216502,0.09640512,0.08887633,0.0824325,0.07808217,0.07572464,0.07500177,0.07586705,0.078151554,0.08110089,0.08364564,0.08501799,0.08536348,0.08531394,0.08532137,0.085073374,0.08397934,0.08202707,0.08008712,0.07934248,0.08007874,0.0816496,0.08292815,0.08340159,0.08310247,0.0823232,0.081223,0.07994002,0.07886863,0.07846109,0.07886892,0.07966393,0.080019794,0.079438694,0.07791432,0.07605389,0.07429725,0.07296049,0.07230421,0.07308736,0.07621163,0.08171088,0.08817188,0.09332732,0.095764644,0.09567612,0.09431743,0.09269119,0.09122499,0.09060075,0.09268627,0.09984672,0.11273565,0.12849158,0.14179878,0.14805274,0.14581001,0.1364374,0.12236623,0.106049515,0.09007298,0.07709212,0.06938095,0.067880146,0.071872495,0.07872015,0.08521519,0.08888313,0.08936081,0.08757868,0.084789224,0.08156664,0.07814595,0.0747503,0.07183386,0.06989174,0.06917298,0.06956596,0.0705973,0.07165315,0.07214859,0.07171912,0.07051128,0.06929967,0.06948496,0.0722301,0.07764361,0.084118046,0.08930925,0.09145684,0.090562515,0.087858655,0.084752746,0.08190692,0.07931378,0.076809384,0.07439655,0.072224684,0.0703804,0.06894601,0.06874564,0.07178069,0.08088809,0.09676906,0.116402365,0.1334961,0.14404969,0.14882712,0.1528585,0.15912361,0.1667611,0.1720985,0.17404085,0.1749083,0.17858212,0.18641154,0.19592284,0.2025336,0.20209312,0.19360226,0.17934944,0.16454531,0.15419994,0.15065832,0.15160383,0.15154494,0.14586666,0.13472934,0.124178745,0.1213944,0.1294483,0.14390093,0.15647404,0.16079886,0.15684743,0.15036657,0.14778179,0.15222263,0.16114448,0.16993248,0.17522179,0.17787729,0.18062519,0.18447585,0.18671848,0.18258514,0.16953869,0.14872353,0.12550393,0.105731726,0.09505863,0.09478128,0.10329339,0.11484444,0.12523346,0.13258086,0.13990289,0.1503803,0.1654201,0.18219364,0.19677186,0.20585406,0.20861721,0.2055338,0.19816916,0.18835998,0.1782452,0.16946633,0.16247474,0.15577216,0.14744864,0.13782234,0.13151807,0.13340743,0.14415847,0.1576796,0.16732264,0.17009632,0.16837263,0.16458958,0.1594001,0.15204729,0.14428587,0.14027883,0.14336039,0.15146774,0.15789104,0.15696438,0.14927977,0.14057273,0.13592704,0.13576032,0.13724065,0.1379687,0.13817473,0.13951375,0.14324206,0.14914703,0.1559028,0.16224231,0.16725571,0.17050852,0.17079882,0.16664855,0.15715428,0.14407577,0.13114715,0.12225742,0.118624896,0.11888406,0.120456375,0.12177998,0.1230329,0.12533736,0.12983614,0.13636059,0.14413889,0.15154187,0.15704715,0.15882717,0.15575805,0.14798309,0.13716517,0.12572685,0.1154153,0.1071394,0.10111502,0.097713314,0.096947946,0.09812956,0.09961905,0.099971734,0.09869441,0.0964246,0.093874894,0.09126503,0.08836216,0.08538736,0.08364426,0.08513871,0.0912445,0.10108161,0.11169761,0.11962151,0.1230827,0.12238773,0.11904196,0.11479297,0.111772664,0.11336619,0.12271041,0.14016409,0.160159,0.17430343,0.17592491,0.1654029,0.14740431,0.12737839,0.108136944,0.0922153,0.083621204,0.08680346,0.10288167,0.1269387,0.15047419,0.16567469,0.1692689,0.16225125,0.14833082,0.13176174,0.11656623,0.10601745,0.10294887,0.10857197,0.12161044,0.13751835,0.1514604,0.16022563,0.16371591,0.16232091,0.1567447,0.14748375,0.13661909,0.12648983,0.119017184,0.11434221,0.11158508,0.10952372,0.10721748,0.10405005,0.099463336,0.09302148,0.0845365,0.07451045,0.06420544,0.055264276,0.04893783,0.045509446,0.04434601,0.044406723,0.044781923,0.04497287,0.044907525,0.044974774,0.045896176,0.048400953,0.052459728,0.05718879,0.06253484,0.07147267,0.089967705,0.12106677,0.16040018,0.19630487,0.22006823,0.23091495,0.23547953,0.23786622,0.23768629,0.23188162,0.22096467,0.2074964,0.19343261,0.17802624,0.1634443,0.16008101,0.18524782,0.24886946,0.33887812,0.4209837,0.45934674,0.44104242,0.3832506,0.3193563,0.27533615,0.2587099,0.26006576,0.26696095,0.27137923,0.27234784,0.27080724,0.26761797,0.26338503,0.25901818,0.25490022,0.24974744,0.24311398,0.23729718,0.23738629,0.2448581,0.25552404,0.2606555,0.25666964,0.24635534,0.23794788,0.2359667,0.23979394,0.2433843,0.24075943,0.229747,0.21313305,0.1963554,0.18357904,0.177951,0.18308847,0.20117968,0.22844689,0.25303927,0.2656382,0.26900017,0.28020576,0.31232116,0.3608515,0.40131867,0.41122675,0.3851954,0.33886388,0.29242855,0.25916177,0.24305391,0.24625142,0.27424732,0.32873574,0.39926854,0.45849583,0.47880396,0.4486026,0.38286352,0.3089129,0.2502074,0.21503375,0.20212722,0.20763032,0.22662865,0.25010917,0.26498476,0.26281318,0.24402176,0.21691239,0.18812256,0.1603653,0.13486007,0.117199816,0.11603848,0.1356536,0.17006592,0.20454998,0.22618835,0.23077905,0.2241313,0.2142712,0.20697492,0.20532173,0.21432763,0.24333148,0.2974237,0.36933562,0.43350497,0.4634533,0.44597802,0.39323914,0.32894766,0.2753193,0.24016999,0.22009099,0.20641948,0.19330686,0.1799186,0.1691748,0.1641634,0.16555093,0.17172092,0.17982404,0.1875721,0.19374223,0.19943939,0.20823474,0.222903,0.2412184,0.25408897,0.25338736,0.23894598,0.22020714,0.20718533,0.20367722,0.20713471,0.21372713,0.22153129,0.22939563,0.23572476,0.23843543,0.23722339,0.23436908,0.23413533,0.23764057,0.24051963,0.23303305,0.20904364,0.17031516,0.12713026,0.0893372,0.061819132,0.04558171,0.043111626,0.060154945,0.09636734,0.13998963,0.17065383,0.18060835,0.18559378,0.21505864,0.28256676,0.3674674,0.42876568,0.4353821,0.38848808,0.31476855,0.2449296,0.19731933,0.17515534,0.17565966,0.19183202,0.21461399,0.230808,0.23574434,0.23795067,0.2597796,0.3144878,0.39364147,0.46331468,0.49076286,0.46428213,0.40413865,0.3425151,0.30407277,0.29164073,0.29466173,0.29886377,0.29606488,0.28299364,0.2634593,0.24759334,0.2523813,0.29060414,0.35944423,0.43449077,0.48232186,0.48170996,0.43600687,0.3688136,0.305226,0.26041004,0.23530059,0.2241623,0.21943752,0.21652834,0.21351378,0.21096177,0.21008813,0.21158098,0.21384346,0.21314327,0.20607652,0.19362731,0.18329583,0.18395041,0.1986007,0.21912564,0.2328161,0.23143011,0.21791255,0.20177364,0.19152792,0.18904553,0.19086643,0.19259022,0.19240868,0.19123287,0.19001706,0.18816799,0.18407004,0.17756952,0.1705179,0.16567282,0.16580833,0.17520525,0.2014056,0.25147298,0.32303444,0.39821053,0.44964755,0.45770755,0.42291903,0.36515936,0.30874765,0.27056938,0.25688878,0.26967886,0.3090117,0.3685266,0.42970768,0.46632266,0.4596841,0.41049945,0.33828568,0.26723877,0.21440399,0.18471219,0.17678405,0.18640333,0.20849884,0.23368323,0.25159407,0.25521812,0.24663393,0.23384647,0.22550844,0.22522151,0.23122133,0.2377838,0.23794775,0.22536056,0.19718707,0.1561474,0.11183891,0.07731872,0.06433648,0.07662911,0.10947158,0.15330128,0.20334561,0.26215553,0.3328372,0.40653452,0.45969537,0.4680337,0.42406407,0.34436432,0.25812122,0.18999927,0.14925401,0.1313541,0.12757647,0.1317391,0.14124835,0.15294385,0.16182895,0.163141,0.15563057,0.14163595,0.1251934,0.111551136,0.10785836,0.12136152,0.15198606,0.18862657,0.21332546,0.21593933,0.2000327,0.17907162,0.1624459,0.15004022,0.13613886,0.11842769,0.10330684,0.10097769,0.11793771,0.15019757,0.18629144,0.2144769,0.2289129,0.2299905,0.21996915,0.20066445,0.17326498,0.14087547,0.10795923,0.07891891,0.055861875,0.03975112,0.031388517,0.031307925,0.037240062,0.04385982,0.049084533,0.060955662,0.09979755,0.18022549,0.2948733,0.40442744,0.4644483,0.45124468,0.38235465,0.29637405,0.22906703,0.19259004,0.18285243,0.1916396,0.21374704,0.24284343,0.26756835,0.27849254,0.27421153,0.26313162,0.25316,0.24711527,0.24261172,0.23851661,0.23638435,0.23813313,0.24246413,0.24445964,0.23946227,0.22677284,0.21087657,0.19770771,0.19069888,0.19167034,0.2051333,0.24203372,0.3097585,0.40140477,0.48851958,0.5382674,0.53267556,0.481717,0.41235718,0.35005984,0.30637857,0.27949804,0.2644721,0.25891936,0.26361182,0.27697697,0.29339007,0.30551472,0.3086534,0.3021547,0.2878945,0.26980177,0.25432056,0.2504768,0.26302862,0.286432,0.30330542,0.297335,0.26570168,0.22315353,0.18984444,0.17719142,0.18281865,0.19629635,0.20879109,0.21626522,0.21783002,0.21139102,0.19545259,0.17327766,0.15652965,0.15761708,0.18035269,0.21555595,0.25278726,0.29216674,0.34334564,0.4090476,0.4727656,0.5068896,0.4939573,0.4399321,0.3685267,0.303524,0.25880536,0.23934507,0.24958487,0.29243457,0.3609719,0.43196103,0.47546288,0.47420946,0.43399477,0.37671506,0.32250383,0.28124475,0.254697,0.24458878,0.25273228,0.2750753,0.29795358,0.30497703,0.28968954,0.26008317,0.2300924,0.20646901,0.18580224,0.16250359,0.13927622,0.12657209,0.13413304,0.16080248,0.19600599,0.22675817,0.24634515,0.25391284,0.25146234,0.24173634,0.23135848,0.23355792,0.26286316,0.32258108,0.3959553,0.4522241,0.46661186,0.43510857,0.37549698,0.31254077,0.26434782,0.23551507,0.2204894,0.21135513,0.20322664,0.19594002,0.19042504,0.18702419,0.18449962,0.1820143,0.17919369,0.17654972,0.17594714,0.181791,0.19895196,0.22569938,0.24936183,0.2515571,0.22478944,0.18126185,0.14628749,0.13708998,0.15126969,0.17113934,0.18110718,0.17883213,0.1743929,0.1789165,0.1951376,0.21589823,0.23140728,0.23530708,0.22602908,0.2035333,0.16963072,0.13021538,0.09569236,0.07522572,0.070520304,0.07571703,0.084485404,0.09766673,0.12157687,0.15924174,0.20153534,0.2347068,0.25452697,0.27636352,0.3191346,0.3844488,0.44580844,0.46982893,0.44022265,0.37135813,0.2934233,0.23363219,0.20335124,0.20161666,0.22339511,0.26086307,0.30129752,0.32716838,0.33064878,0.32336834,0.330821,0.36822918,0.42391828,0.46675518,0.47144127,0.43631402,0.38104248,0.32823536,0.29108205,0.27040127,0.26260546,0.2640135,0.27102283,0.27863547,0.28298303,0.28876993,0.30971703,0.3578018,0.4270318,0.48945585,0.5120926,0.4805235,0.40913692,0.3297108,0.26935604,0.2382201,0.2298321,0.23338573,0.2417295,0.25400442,0.2703605,0.28793916,0.30084082,0.30416933,0.29724786,0.28337142,0.26842943,0.25901434,0.26205698,0.27756834,0.29666054,0.3007482,0.27821985,0.23177141,0.18124324,0.14622463,0.13421553,0.1363843,0.13861008,0.13495402,0.13099687,0.13571627,0.14918454,0.16197298,0.1652327,0.16019352,0.15654105,0.16124023,0.17474689,0.19619478,0.23480706,0.3019648,0.39564896,0.48552164,0.53145283,0.5116948,0.4425238,0.36319447,0.30733845,0.286572,0.29544452,0.328348,0.38115022,0.4443551,0.4943491,0.50675064,0.4736652,0.4125003,0.3510193,0.30828765,0.28723824,0.28180563,0.287524,0.3003219,0.31263304,0.31078044,0.28644502,0.24409164,0.20132144,0.17483239,0.17051174,0.18149064,0.1970374,0.21039754,0.22218539,0.23581223,0.25213948,0.2662656,0.27115652,0.26370087,0.24773158,0.23143257,0.22195871,0.22588922,0.25272158,0.31245184,0.40231314,0.49576268,0.5515224,0.5404422,0.4657147,0.35967886,0.2597997,0.18901862,0.15019964,0.134997,0.13363375,0.1387402,0.14548673,0.14954656,0.14908217,0.14449787,0.13832992,0.13244061,0.1284333,0.13007128,0.14453971,0.17687471,0.22033016,0.25422227,0.2565405,0.22238584,0.1687842,0.120903164,0.09297291,0.08310755,0.08265677,0.088109285,0.10361463,0.13363783,0.17429209,0.2119853,0.23160589,0.22736706,0.20534904,0.17676316,0.14887537,0.12432763,0.1056717,0.09804595,0.10432259,0.11978331,0.13387348,0.13946272,0.14084004,0.1495608,0.1729453,0.20521174,0.23668464,0.26750377,0.31246862,0.38203335,0.46315423,0.51907134,0.5168525,0.45475355,0.36438417,0.28650698,0.24260767,0.23077726,0.23807526,0.25778672,0.28494227,0.31076375,0.32112098,0.31598708,0.31582758,0.34937724,0.42139077,0.50144553,0.5427496,0.52028453,0.44703093,0.36092696,0.29326656,0.2537816,0.2335586,0.22128977,0.21117784,0.2036872,0.20101301,0.20663853,0.22722836,0.2732468,0.34909728,0.44249544,0.52121896,0.5525667,0.5245206,0.45546606,0.3776549,0.31650934,0.27923933,0.260996,0.2549119,0.25801495,0.2685957,0.28334033,0.29566756,0.30019388,0.29491052,0.28341043,0.27062201,0.26211277,0.2609612,0.2708951,0.28978124,0.31047177,0.31739986,0.30208203,0.26607552,0.22476964,0.19079824,0.16974582,0.15693043,0.14758061,0.14063728,0.14121108,0.15465741,0.1814209,0.21426892,0.24268763,0.25881353,0.26018128,0.248851,0.23173259,0.2230211,0.2435052,0.30670643,0.4034419,0.49636754,0.54312253,0.52416676,0.45640576,0.37614456,0.31263912,0.2767514,0.2674364,0.28737283,0.3400806,0.41954353,0.49786496,0.5389912,0.52051,0.45058778,0.35891202,0.2762079,0.22023554,0.19542427,0.20128638,0.23060556,0.26827064,0.28980199,0.27921078,0.23858245,0.19062768,0.15830989,0.15232952,0.16624509,0.18811752,0.20841749,0.22398393,0.23389965,0.23733176,0.23378198,0.22594446,0.22011822,0.2218039,0.23187567,0.24637151,0.2647018,0.29418382,0.3459003,0.41852763,0.49103734,0.5311839,0.52010685,0.4636034,0.38755414,0.31619182,0.2621029,0.22543883,0.2048657,0.20062774,0.21258684,0.23380904,0.25275794,0.25953242,0.25353673,0.24079925,0.22930406,0.22317111,0.22475517,0.23622096,0.25915056,0.2898757,0.316955,0.32640812,0.31081334,0.2757808,0.23601414,0.2053277,0.18838505,0.18072312,0.17636907,0.17375787,0.17686991,0.18858945,0.20773637,0.22799684,0.24427152,0.2537745,0.25753498,0.256541,0.252906,0.2489012,0.24718213,0.2476023,0.24677147,0.24024098,0.22651684,0.20899051,0.19336589,0.18334462,0.17939109,0.18342693,0.20513582,0.2578822,0.34393024,0.4401257,0.5049179,0.505108,0.4415247,0.34911394,0.2705984,0.22885369,0.21992075,0.22939688,0.24832352,0.27388057,0.29904243,0.31287178,0.31371856,0.31993213,0.35519037,0.42395473,0.49683547,0.533102,0.5101605,0.44195652,0.36179316,0.2979266,0.25770363,0.23356526,0.21681757,0.20624666,0.2051791,0.21414764,0.22939515,0.25171998,0.29070798,0.3558986,0.4377668,0.50546205,0.52568215,0.48992392,0.4186149,0.34463236,0.28899845,0.2552252,0.23567863,0.22489858,0.2219223,0.22724344,0.23642291,0.2420634,0.23962831,0.23198198,0.22530733,0.22260402,0.22287048,0.22642212,0.23935513,0.26533487,0.29883543,0.3222535,0.32332864,0.30219218,0.2731774,0.24772458,0.22981143,0.21598454,0.2038215,0.1930779,0.18430112,0.17719512,0.1711784,0.1665544,0.16418082,0.16448724,0.1663648,0.16725713,0.16705638,0.1729473,0.20171332,0.26630205,0.36054257,0.45089912,0.49934897,0.48881075,0.43654922,0.37466446,0.32729915,0.3017169,0.29816476,0.32175365,0.3763789,0.4527247,0.51975775,0.54326504,0.5084914,0.43302035,0.3511187,0.29069558,0.26151255,0.2597871,0.2792771,0.31100336,0.34209538,0.355121,0.3418001,0.30758736,0.26962808,0.24068487,0.22348857,0.2118062,0.19949126,0.1853875,0.17417419,0.17290741,0.18438375,0.20416911,0.22277994,0.2334559,0.23458846,0.22729808,0.21318732,0.19947308,0.20507486,0.2515051,0.34202623,0.44600797,0.5138479,0.51099956,0.4420006,0.34363103,0.25533342,0.19812302,0.17089587,0.16377829,0.16849966,0.18155277,0.19976474,0.21632867,0.22310406,0.21529315,0.1952415,0.16944744,0.14634262,0.13436908,0.1436085,0.17774434,0.22772582,0.26837072,0.27639022,0.24647115,0.1984905,0.16111447,0.1528225,0.17145449,0.20002927,0.2206725,0.22649436,0.22238515,0.21806727,0.2179845,0.22123303,0.2242027,0.225846,0.2261048,0.22495592,0.22233784,0.21937878,0.21860357,0.22121668,0.22613607,0.22977889,0.22822058,0.21839137,0.19885324,0.17042361,0.1382844,0.11517168,0.12168775,0.17560224,0.27552867,0.38981476,0.471773,0.48786458,0.441034,0.36239603,0.28679216,0.23219018,0.20097236,0.19269215,0.20846786,0.24532743,0.28806528,0.31934938,0.33513212,0.35358155,0.3958898,0.46260247,0.523782,0.54352885,0.50851053,0.43883327,0.36768875,0.31659946,0.28591195,0.2644377,0.24442899,0.22714119,0.21868952,0.22224803,0.23755269,0.267251,0.31850007,0.39267626,0.47211465,0.5234821,0.5204539,0.4636996,0.38057828,0.30378887,0.2530228,0.22976463,0.22537027,0.23027156,0.23749912,0.24331479,0.24497813,0.24202792,0.23499493,0.22604941,0.21644157,0.20674087,0.19589515,0.18290599,0.1675465,0.15162836,0.13802314,0.12911375,0.12552619,0.12619825,0.129449,0.13330616,0.13613747,0.13668163,0.13492216,0.13189675,0.12935765,0.12865734,0.13008487,0.13304944,0.13654566,0.13981974,0.14203122,0.14243376,0.14059545,0.13711017,0.13335863,0.13072948,0.12979728,0.13034439,0.13174117,0.13352145,0.13536501,0.13718896,0.13871498,0.13946076,0.1386544,0.13590325,0.13148452,0.12652804,0.12226216,0.11982081,0.12015012,0.124279596,0.13225055,0.1416947,0.14824833,0.1488195,0.14588882,0.14690085,0.15939297,0.18361223,0.21179204,0.23218916,0.23833974,0.23220511,0.2225736,0.21657704,0.21604414,0.2184543,0.22242236,0.22863925,0.23726958,0.24534935,0.24866076,0.2453112,0.23683058,0.22635616,0.21597646,0.20660754,0.19815592,0.19104034,0.18518187,0.18058115,0.17605036,0.17094296,0.16482098,0.15854512,0.15276097,0.14791413,0.14378966,0.14035217,0.13783526,0.13654892,0.13636404,0.13664035,0.13675642,0.13665836,0.13695835,0.13844936,0.14158024,0.14678349,0.1549861,0.16836785,0.18811156,0.21309067,0.23811722,0.25844958,0.27167574,0.2799839,0.28556642,0.28909323,0.28806064,0.27907708,0.25983956,0.23097418,0.19727504,0.1652018,0.14137863,0.12976664,0.13336879,0.15182315,0.18122382,0.2120716,0.23532097,0.24595152,0.24628842,0.2411443,0.23490532,0.22891717,0.22309454,0.21667945,0.20945664,0.20186345,0.19506203,0.1898839,0.1861313,0.18241914,0.17718239,0.16995275,0.16218214,0.15765242,0.16053325,0.1724118,0.18937449,0.20401311,0.21067847,0.20973265,0.2062008,0.20435925,0.20466606,0.20532823,0.20666462,0.21166687,0.22257894,0.23664369,0.24742042,0.2496494,0.24393909,0.23583709,0.2316597,0.2338558,0.23993288,0.24473734,0.24428736,0.23730434,0.22684294,0.22179691,0.24003334,0.29799888,0.39455327,0.4974791,0.5608961,0.55641454,0.4941758,0.4107157,0.33971533,0.29552928,0.2745017,0.26838,0.27028525,0.2765073,0.28445673,0.29140985,0.2949928,0.29325202,0.28665456,0.27742997,0.27024448,0.2704862,0.28340283,0.30833733,0.33606339,0.34973073,0.3370893,0.29966155,0.25385725,0.21888955,0.2048391,0.20908211,0.2211604,0.23158602,0.23606436,0.23589462,0.2330546,0.22725801,0.21682031,0.20353234,0.19366586,0.19345646,0.20384048,0.22375427,0.2582117,0.31674513,0.3994076,0.4831675,0.53438836,0.5343444,0.4966465,0.4520259,0.42340496,0.41389883,0.41750276,0.4339975,0.46833205,0.5188296,0.56643754,0.5851066,0.56092113,0.5057908,0.44618985,0.40306023,0.3798938,0.37042403,0.37008128,0.3783878,0.39081052,0.39576733,0.38111532,0.34612823,0.3018196,0.26269707,0.23513885,0.21717344,0.20350073,0.19184639,0.18234538,0.17505334,0.16793893,0.15859573,0.14651208,0.13400432,0.12435109,0.11913065,0.11845842,0.12579557,0.15323599,0.21666813,0.31903982,0.43621263,0.5250435,0.5528318,0.52014714,0.4569199,0.3962439,0.35511133,0.33280873,0.32258236,0.31970677,0.32265183,0.33001554,0.33789614,0.34172776,0.33845618,0.33008027,0.32069334,0.314553,0.31317082,0.3180932,0.3305142,0.34720445,0.35750452,0.34705058,0.3113664,0.26047203,0.2145424,0.18826461,0.18455206,0.19563918,0.21176837,0.22621423,0.23636383,0.24145968,0.24158238,0.23789585,0.23347957,0.2304459,0.22795819,0.2212063,0.20633619,0.1829633,0.15542632,0.1289028,0.107970685,0.09615228,0.096758425,0.111492716,0.13709247,0.16531692,0.18610854,0.19756518,0.21098548,0.24954188,0.32847798,0.43708786,0.5335997,0.5723911,0.53544396,0.4454304,0.34456253,0.2648431,0.21631952,0.19547503,0.19981283,0.22441824,0.2564901,0.27275223,0.26051763,0.22929712,0.20942211,0.22368027,0.2706267,0.325875,0.36519766,0.37976384,0.37621376,0.36462978,0.35062444,0.3360094,0.32330635,0.31701195,0.32034376,0.33148777,0.3459561,0.36284518,0.39140067,0.44210076,0.51249,0.57599145,0.59831524,0.56214017,0.48271033,0.39399144,0.32457912,0.28324056,0.2626524,0.25112456,0.24060285,0.22865343,0.21679263,0.20788252,0.2037649,0.20402485,0.20630635,0.20788713,0.20845042,0.2117178,0.22572875,0.2550857,0.29583386,0.33218768,0.34979948,0.3436106,0.32283983,0.29905978,0.28020254,0.26732016,0.25987634,0.2572092,0.25860593,0.26192895,0.26397023,0.26133,0.25198567,0.23626292,0.21699661,0.19703959,0.18017292,0.17369473,0.19354944,0.25379565,0.3517201,0.4545715,0.5179833,0.51461357,0.4554207,0.37658298,0.31176245,0.27554926,0.26843658,0.29229936,0.34945503,0.43065766,0.5046583,0.5335664,0.50013363,0.4223942,0.33881393,0.27928916,0.25121906,0.24637799,0.2564559,0.2770814,0.30219993,0.31997636,0.3182499,0.2950305,0.2602457,0.22854863,0.20790915,0.19723989,0.19026528,0.18247862,0.17322443,0.1644886,0.15792237,0.15339637,0.1496035,0.14575984,0.14259805,0.1416072,0.14486517,0.1570266,0.18807821,0.24884474,0.33886865,0.43702495,0.50884145,0.5290757,0.49821487,0.44015384,0.38282427,0.34300873,0.32244024,0.31470594,0.3123267,0.31061396,0.30774987,0.30379918,0.29947436,0.29570058,0.2928467,0.29098156,0.29000923,0.29134643,0.29752183,0.31041527,0.3252209,0.331274,0.3174133,0.28506467,0.24777013,0.22343606,0.21921666,0.23046227,0.24673982,0.26134062,0.27320465,0.2841047,0.29507312,0.3048451,0.31117654,0.3127711,0.3101828,0.3053534,0.29990366,0.295409,0.29276407,0.29287252,0.29508126,0.29810956,0.30036232,0.30166546,0.3027582,0.30421832,0.305329,0.30498055,0.3057145,0.3160641,0.34817132,0.4050794,0.47152957,0.5161228,0.5136433,0.4637709,0.392548,0.3312552,0.29641166,0.28603676,0.29019856,0.3023223,0.31815723,0.3317213,0.33420387,0.32523987,0.31919345,0.337846,0.38807735,0.44839928,0.4806671,0.45907772,0.39016244,0.30532244,0.236354,0.19675636,0.18134278,0.1774261,0.17422235,0.16529852,0.14771232,0.12500758,0.11097378,0.12917607,0.19523282,0.29993308,0.4039557,0.46545872,0.46762672,0.4296684,0.38516548,0.3583082,0.35334787,0.36136878,0.3709832,0.3748665,0.37168947,0.3641328,0.35575464,0.34840932,0.34257162,0.33782756,0.33397436,0.33046344,0.32783258,0.3273801,0.32970473,0.33185634,0.32808664,0.31462586,0.29384872,0.2720794,0.25476876,0.24194288,0.23112558,0.21888949,0.20559555,0.1936941,0.18768416,0.18744387,0.18835013,0.18355502,0.17257966,0.16147663,0.15763666,0.16392304,0.18134017,0.21602397,0.27589664,0.35829338,0.43934476,0.48586774,0.47884914,0.42922834,0.36724424,0.32036474,0.2986695,0.30031887,0.3220701,0.362529,0.41290054,0.45177552,0.4550487,0.41507053,0.34974393,0.28904083,0.25363383,0.24389,0.24840386,0.25787258,0.26993248,0.28312668,0.2907026,0.28440088,0.26285604,0.23407817,0.20823838,0.18893063,0.17275323,0.15585794,0.14033775,0.13364698,0.14192782,0.16389334,0.19064207,0.21197176,0.22278386,0.22410971,0.21969932,0.21371706,0.21312982,0.23050497,0.2787018,0.35775575,0.44516733,0.50403863,0.5070258,0.4547992,0.3747953,0.2993467,0.24798138,0.2213242,0.21089323,0.20799059,0.20920675,0.21428846,0.22338901,0.23500852,0.24703555,0.2581298,0.26742947,0.27411515,0.2773721,0.27928865,0.2834818,0.29095885,0.2957696,0.28856552,0.266159,0.23578791,0.2108134,0.19997035,0.20296673,0.21291156,0.22278571,0.22956164,0.23388065,0.23776883,0.24158096,0.2438538,0.24243315,0.23676468,0.227803,0.2167324,0.20324273,0.1860729,0.16437607,0.1389674,0.111717544,0.08573964,0.065340415,0.05618837,0.06108429,0.07647296,0.09219163,0.10231471,0.11498976,0.15282735,0.23062146,0.33548984,0.42460975,0.45732865,0.42385948,0.35227385,0.2813898,0.2347116,0.21327446,0.20856135,0.21619411,0.23285925,0.2496223,0.25027883,0.22984605,0.2044398,0.20333673,0.23816197,0.29024896,0.32497907,0.3258252,0.3041712,0.2857628,0.284505,0.2975215,0.31226623,0.32011244,0.31907392,0.31237125,0.30347255,0.29664287,0.29874924,0.32197353,0.37275365,0.4414653,0.4977515,0.5128765,0.48013225,0.4219277,0.36852813,0.3378143,0.32835874,0.3292786,0.33034047,0.32691315,0.31903803,0.31019118,0.30415925,0.30321622,0.30628324,0.3101546,0.31130457,0.30879965,0.3056854,0.30770645,0.31718504,0.32820097,0.32760456,0.30603245,0.26632932,0.22347897,0.19279848,0.18039231,0.18154472,0.187339,0.19179893,0.19336797,0.19332552,0.19181754,0.18881412,0.18467844,0.1819508,0.18241908,0.18584372,0.19152759,0.2033393,0.23198025,0.28600618,0.36007878,0.42992297,0.46773696,0.46159324,0.42381695,0.3791995,0.34708938,0.33434764,0.33897078,0.35971949,0.39445758,0.4353652,0.4638354,0.46255982,0.4285278,0.37854385,0.33452234,0.3089505,0.29953444,0.29915857,0.30358368,0.31315622,0.3253732,0.332847,0.3266759,0.30577174,0.27813816,0.25576082,0.24513255,0.24551482,0.2515621,0.2588684,0.26375696,0.26216936,0.24804689,0.21813907,0.17667516,0.13755324,0.1164361,0.12074947,0.14504026,0.1797914,0.22334452,0.28327253,0.3619028,0.4441918,0.50213414,0.5164246,0.48907745,0.44063285,0.39290357,0.35887828,0.34016684,0.3324016,0.33087263,0.3340244,0.3432121,0.3587816,0.37747207,0.3931851,0.40037346,0.39678612,0.38380876,0.36632764,0.35127816,0.34471002,0.3467134,0.3507137,0.34815815,0.33711433,0.32321605,0.31462434,0.31381026,0.31710288,0.31871536,0.31649354,0.3131354,0.31392482,0.32213998,0.336557,0.3514482,0.3609561,0.36178562,0.3551675,0.34418115,0.33261052,0.32328436,0.3185312,0.31930625,0.32456172,0.33125302,0.3362687,0.33871487,0.34027326,0.34230614,0.34426948,0.3458043,0.35239387,0.37489918,0.4191042,0.4740876,0.51245195,0.51068574,0.46701065,0.40463784,0.35065353,0.31922713,0.3074892,0.30771598,0.31562304,0.32832706,0.3397127,0.34071812,0.33147857,0.32620344,0.34634718,0.39776477,0.45914528,0.49239781,0.47297525,0.40848652,0.33084628,0.26918456,0.23236346,0.21265619,0.20067833,0.19357245,0.19147535,0.19216047,0.19364361,0.2011407,0.22964628,0.2897832,0.3730888,0.44791785,0.4819006,0.46447232,0.41371933,0.3585113,0.31882492,0.2989869,0.2929864,0.2930263,0.29360786,0.29348573,0.29438922,0.29844806,0.30531776,0.3118589,0.3145995,0.31223446,0.30734608,0.30486545,0.30997372,0.32282898,0.33731827,0.34269467,0.3327659,0.31049952,0.28667042,0.27004468,0.26177076,0.25722322,0.25360808,0.25391284,0.2631465,0.28145424,0.30145904,0.31390166,0.31509364,0.30986032,0.30516708,0.30356804,0.30176163,0.29983172,0.30733395,0.33722237,0.38896623,0.44073853,0.46540785,0.45361933,0.42188025,0.3939819,0.38165283,0.38080874,0.3858763,0.3997902,0.42983794,0.4732637,0.51092654,0.5191898,0.48990905,0.43849632,0.38970935,0.35781622,0.3407439,0.3309106,0.32648572,0.32908806,0.33550802,0.3344057,0.31625628,0.28264192,0.24686672,0.22116311,0.20721053,0.19616395,0.18165773,0.16709112,0.16412486,0.17922099,0.20767005,0.23635697,0.25587404,0.26586008,0.2710484,0.27318832,0.2691186,0.25984645,0.25841025,0.2861086,0.35283855,0.44148096,0.5127782,0.53328484,0.49798787,0.43201533,0.36691937,0.32211378,0.29817978,0.28805068,0.28534043,0.28847396,0.29735753,0.31062633,0.32485375,0.33601865,0.34156802,0.34111813,0.33677065,0.33253542,0.33319438,0.34061217,0.3486801,0.3440355,0.31493548,0.2653801,0.21606767,0.19009386,0.19309968,0.20975308,0.21969306,0.21473499,0.20425272,0.20123933,0.21132547,0.22651772,0.23683482,0.23725961,0.23304586,0.23002899,0.22971748,0.22736222,0.21926661,0.20633583,0.1928016,0.18156515,0.17244631,0.16553874,0.16438548,0.173791,0.19371419,0.21575487,0.23199125,0.24540746,0.27331504,0.32883003,0.40327203,0.4630305,0.47584644,0.43563616,0.36701742,0.3028809,0.26121455,0.24195962,0.23769675,0.24615972,0.26550594,0.2895601,0.30570948,0.30917823,0.30986443,0.3272988,0.3699923,0.42433038,0.4625827,0.46543053,0.4353238,0.39275682,0.35822847,0.34120056,0.33731672,0.33765137,0.33522925,0.32908407,0.32188478,0.31811556,0.32425264,0.3487049,0.39514497,0.45382854,0.5006388,0.51206154,0.4824048,0.4271381,0.37060854,0.32891312,0.30611745,0.29669252,0.2948259,0.29602596,0.29914394,0.30303457,0.3070816,0.31054184,0.31393686,0.31746313,0.32029262,0.32127583,0.3215371,0.32484654,0.33212313,0.33713698,0.32750762,0.2961766,0.2486629,0.20244591,0.17414434,0.16919835,0.17911004,0.19018899,0.19568634,0.20059527,0.21526508,0.24162316,0.2696673,0.28516626,0.28425992,0.27464196,0.26674342,0.2635516,0.26458308,0.27597654,0.3089234,0.3660482,0.42930838,0.47259983,0.48134652,0.46351886,0.43759382,0.4179227,0.40944552,0.41242507,0.42851222,0.457239,0.49102965,0.5119617,0.5042871,0.4668498,0.41756335,0.37815222,0.3596928,0.35797334,0.36338282,0.36903214,0.37240425,0.36986053,0.35570082,0.32623518,0.28741172,0.2526362,0.23349373,0.22976364,0.23135994,0.22937505,0.22420688,0.22410937,0.2348504,0.2533791,0.269987,0.27698037,0.27551445,0.27181005,0.2705445,0.27000841,0.27077445,0.28290066,0.32370687,0.3989329,0.48960185,0.5580151,0.57449174,0.53637564,0.46829724,0.40051556,0.3526409,0.32671875,0.31566635,0.31111458,0.30906865,0.30941638,0.31281456,0.31825224,0.3226583,0.32342526,0.31998336,0.31400505,0.3089547,0.30902126,0.31673133,0.32667148,0.32536915,0.29831496,0.24550165,0.18389748,0.13684219,0.11452233,0.109481335,0.10765511,0.10395411,0.105901785,0.12245709,0.15323995,0.18673567,0.21131988,0.2229156,0.22457264,0.21830468,0.20228513,0.17652468,0.14855967,0.13106413,0.13052061,0.14102775,0.14978136,0.15047732,0.15004961,0.16034853,0.1849845,0.21403612,0.23699516,0.25603572,0.28901044,0.34866688,0.42485705,0.48185873,0.48666063,0.43542242,0.3581212,0.29252467,0.25641605,0.2448322,0.24574278,0.2562503,0.27587292,0.29740158,0.30570516,0.29688182,0.28785476,0.30649853,0.36184886,0.43049255,0.47118843,0.45968673,0.40601978,0.34296978,0.29706946,0.2735766,0.26232806,0.25361907,0.24541758,0.24062449,0.2407776,0.24703221,0.26256683,0.29616725,0.35174045,0.42066598,0.47661874,0.49481663,0.46813214,0.41552672,0.36450064,0.33366665,0.32334113,0.3229594,0.32241514,0.3191246,0.3169243,0.31938064,0.325169,0.32905293,0.3270587,0.32062447,0.314456,0.31349275,0.3185432,0.32905862,0.34150073,0.35181108,0.35272455,0.34071457,0.3169423,0.28851458,0.26008773,0.23224914,0.20389841,0.1791082,0.16806252,0.18024106,0.21704614,0.2678543,0.31750092,0.35393217,0.37445083,0.37996158,0.37087014,0.34691855,0.31686094,0.30087557,0.31951597,0.37492013,0.44460106,0.4976468,0.51647073,0.5054471,0.48086974,0.45719388,0.44238007,0.4400543,0.4536043,0.4823465,0.5168964,0.53822047,0.5310427,0.4967279,0.45468268,0.42459026,0.41276565,0.41206992,0.41534734,0.42116272,0.42935118,0.43217883,0.4158801,0.37156773,0.30714956,0.24488442,0.20619081,0.19551663,0.19998755,0.20384735,0.20194001,0.20062344,0.20614155,0.2166809,0.22407906,0.2239741,0.22111702,0.22486442,0.2397886,0.26150438,0.2844894,0.31097648,0.35153845,0.41052547,0.4759194,0.5231521,0.53544784,0.5152045,0.48017907,0.44717935,0.42306247,0.4057467,0.39055833,0.3756474,0.36218238,0.35357654,0.3514744,0.35512736,0.36123303,0.36685422,0.37055194,0.3726251,0.37474534,0.3792576,0.38808572,0.3984067,0.4014806,0.38605788,0.3486159,0.29826194,0.251561,0.2205527,0.20492052,0.19735932,0.19221582,0.19227807,0.20269918,0.2245896,0.25037268,0.27073455,0.28102115,0.2848165,0.28767934,0.29197124,0.29521596,0.29476166,0.2908016,0.28568557,0.28066695,0.27421615,0.26415896,0.25044647,0.2363667,0.22477722,0.21594541,0.20986903,0.21481621,0.2472132,0.31713977,0.4088411,0.48098597,0.49466264,0.44426396,0.36176816,0.28913864,0.24806231,0.23465933,0.23652388,0.25031605,0.27722037,0.3110663,0.3338971,0.33512226,0.32671902,0.33902904,0.39146766,0.47052243,0.53648216,0.5546317,0.521288,0.4622527,0.40938488,0.37943575,0.37004805,0.370154,0.37096262,0.36944723,0.36715892,0.367618,0.3774545,0.40534046,0.45542893,0.5171292,0.5643523,0.571423,0.53345066,0.4694017,0.40691236,0.3622745,0.33724108,0.3249093,0.31949902,0.31768048,0.31822813,0.3199613,0.322152,0.32521167,0.33069146,0.33977118,0.35143438,0.36331317,0.3740823,0.3848833,0.3955282,0.40068904,0.39073244,0.36105666,0.31891426,0.2804171,0.25807956,0.25181064,0.2519668,0.24930479,0.24223565,0.23451899,0.22928059,0.22494932,0.217973,0.20672973,0.19419052,0.18329263,0.17416261,0.16483927,0.16081427,0.1780888,0.23300397,0.3236046,0.423038,0.4963508,0.5243256,0.5126892,0.48150608,0.44902745,0.42709622,0.42273477,0.44180587,0.4828438,0.5324314,0.5663689,0.5658436,0.5317326,0.48461413,0.44714478,0.42854238,0.424234,0.426388,0.43109345,0.43592277,0.43464062,0.41789007,0.38053712,0.32915497,0.2794497,0.2458027,0.23051615,0.22436577,0.21629448,0.20375122,0.19386268,0.19504195,0.20843287,0.22682518,0.2424465,0.25263235,0.25830022,0.2576264,0.24632758,0.2273646,0.21905339,0.24834466,0.3272592,0.43606147,0.53007984,0.57236236,0.55727935,0.51068515,0.46390095,0.4344873,0.4214281,0.4154493,0.40913418,0.39991176,0.3905423,0.38398626,0.38310793,0.38713214,0.3945601,0.40252385,0.40983546,0.4165505,0.42438194,0.4330671,0.43643817,0.4228208,0.38203526,0.31691447,0.24548243,0.1925971,0.17289467,0.18271117,0.20519368,0.22510076,0.23842956,0.24879794,0.2583513,0.26266384,0.25728855,0.24352406,0.22890723,0.21967788,0.21684141,0.21773754,0.22033787,0.22512609,0.23292094,0.24280989,0.2507913,0.25124988,0.2401393,0.21768409,0.18828261,0.15762226,0.13378744,0.13082014,0.16790517,0.253696,0.36913666,0.46789584,0.5052559,0.46964228,0.38873616,0.30455732,0.2432893,0.20889372,0.1956058,0.20413482,0.2353497,0.28132915,0.32068717,0.34017602,0.34784004,0.37007537,0.42097983,0.48400903,0.5208776,0.50438255,0.4403338,0.3593019,0.2909409,0.24570663,0.21863054,0.20228757,0.19470006,0.19619636,0.20375091,0.2133783,0.22754753,0.2612516,0.3271635,0.4184538,0.49818435,0.5274226,0.49263585,0.42075768,0.35082188,0.3085148,0.292634,0.2902198,0.28939673,0.28616086,0.2807835,0.27456367,0.2684584,0.262956,0.25837347,0.25444475,0.25025377,0.24464178,0.23688395,0.22782002,0.2191248,0.21238385,0.2077412,0.20474292,0.20298469,0.20218222,0.20130901,0.19891894,0.19442327,0.18863834,0.182912,0.17784901,0.17330803,0.16908693,0.16536532,0.16238977,0.16008545,0.1580286,0.15578155,0.15306614,0.15001613,0.146917,0.1441776,0.14189531,0.13991125,0.13788837,0.135536,0.13287951,0.13003147,0.12718058,0.12413585,0.12064165,0.11653843,0.11224279,0.10842767,0.10558081,0.1035859,0.10220206,0.101753175,0.10320581,0.107076764,0.112200834,0.11647093,0.11893911,0.12192229,0.12937227,0.1438384,0.16319202,0.18201812,0.19481368,0.20052733,0.20250231,0.20549859,0.21094818,0.21648802,0.2194715,0.22025378,0.22156595,0.22450173,0.22720665,0.22688913,0.2229371,0.21723981,0.21211715,0.20865738,0.20614953,0.20261262,0.19578731,0.1842026,0.16847037,0.15054333,0.13285466,0.11679401,0.103214175,0.0927732,0.08605022,0.08292824,0.08224248,0.08253715,0.08263483,0.08208016,0.08081364,0.07920703,0.07800146,0.07815065,0.080104664,0.083604716,0.088146,0.094504684,0.10441669,0.119281024,0.13748455,0.15547943,0.16966288,0.17924881,0.1850111,0.18784136,0.18749112,0.18351007,0.17637658,0.16670775,0.1550278,0.14067276,0.124221675,0.10779635,0.096233465,0.09407148,0.10342425,0.12157615,0.14233005,0.15926032,0.1689115,0.17156075,0.16932632,0.16467355,0.15972875,0.15664853,0.15695666,0.16096114,0.16752388,0.1750735,0.18236828,0.18854725,0.19271456,0.19423282,0.1935901,0.19266748,0.19356394,0.19708763,0.202175,0.2070723,0.2106779,0.21339871,0.2161336,0.21933793,0.22214137,0.22340065,0.22244735,0.21977143,0.21629207,0.21243171,0.20737256,0.19936673,0.18792887,0.17560071,0.16745026,0.16705884,0.1736318,0.18301456,0.1917233,0.19919921,0.20639916,0.21597566,0.2343077,0.27384007,0.3426628,0.4321969,0.512063,0.549946,0.5344892,0.4834365,0.42695138,0.3861488,0.36536977,0.35734394,0.35327473,0.34737003,0.33804473,0.32606378,0.31294298,0.29967508,0.28647682,0.2723951,0.25625536,0.23939048,0.22874385,0.23528059,0.26348022,0.30247498,0.3274424,0.31918135,0.27893254,0.228211,0.18919198,0.17093177,0.16853754,0.17276834,0.17595123,0.17268299,0.15990722,0.1389824,0.117659144,0.10738944,0.116058744,0.14108175,0.16939662,0.18870795,0.19997399,0.2227015,0.27824846,0.36850867,0.46250448,0.5164914,0.50467354,0.4401478,0.36119732,0.30252936,0.2770667,0.28064695,0.30911943,0.360909,0.4282663,0.48580894,0.5025998,0.46262482,0.37917352,0.28387415,0.20596083,0.1591747,0.14405827,0.15898176,0.20173478,0.26481992,0.32772362,0.36633766,0.36631882,0.3324138,0.27894625,0.21873748,0.15883905,0.10547309,0.065896876,0.044821817,0.04042689,0.045390267,0.051949654,0.055541366,0.05583924,0.055063594,0.057375133,0.06846645,0.0965212,0.1510872,0.2370015,0.3450046,0.44717503,0.5101117,0.51592845,0.47602925,0.4188304,0.36928108,0.3344504,0.30968252,0.28832686,0.26876524,0.2518151,0.23814209,0.226422,0.215402,0.20560127,0.20026179,0.20283806,0.21422088,0.23287259,0.25781092,0.2901802,0.32689795,0.35651314,0.36230913,0.33787426,0.29325795,0.24918194,0.22000676,0.20753688,0.20429303,0.20239961,0.19744253,0.1888361,0.17848772,0.16923022,0.16341545,0.16223009,0.16505824,0.1696418,0.17204648,0.16952567,0.16192122,0.15250057,0.14457716,0.14011092,0.13963364,0.14463311,0.15706904,0.17649595,0.19803949,0.21528386,0.22841562,0.24866052,0.2931309,0.36680222,0.44972658,0.50249803,0.49421117,0.42554584,0.32716122,0.23470564,0.16700356,0.12675036,0.11352608,0.13219161,0.18131573,0.24342223,0.2889595,0.30358696,0.30335727,0.32160103,0.37242624,0.4316974,0.4569347,0.42416152,0.34753457,0.2626028,0.19919074,0.16525768,0.15350078,0.15282314,0.15652178,0.1610964,0.16513036,0.17061518,0.18674211,0.22878627,0.30442938,0.4003075,0.48128185,0.51453835,0.49274132,0.43758795,0.37947902,0.33709753,0.31362638,0.30421987,0.30393732,0.30899823,0.31566188,0.32048783,0.3205279,0.31477714,0.30342916,0.28888413,0.27446115,0.26524463,0.26637027,0.28312114,0.3135084,0.34610462,0.36071336,0.34505537,0.30272028,0.25176328,0.20727365,0.1730995,0.14431874,0.11735964,0.09452752,0.0816995,0.0842656,0.103088476,0.13357669,0.16591996,0.19051258,0.20246874,0.2042482,0.20442891,0.21560006,0.25295213,0.3230634,0.41460052,0.49409792,0.5283043,0.5052462,0.4433737,0.37269506,0.31504905,0.27857625,0.26656917,0.2870233,0.34337005,0.42249408,0.48850048,0.5058796,0.46310678,0.38255763,0.29942834,0.23790623,0.20299412,0.19091427,0.20225239,0.23822123,0.29094437,0.33693767,0.3532418,0.3336315,0.29451331,0.2579088,0.23610039,0.22740288,0.2252996,0.22654398,0.23188126,0.24184245,0.25232157,0.255941,0.24721998,0.22853552,0.20974661,0.20149982,0.20944726,0.2344938,0.2790846,0.34534588,0.42709067,0.5030644,0.5469784,0.54553103,0.50686365,0.4529996,0.40357116,0.37004814,0.35744295,0.37049937,0.40984103,0.46534505,0.5143412,0.5343693,0.518809,0.48024213,0.43851057,0.40694928,0.38986087,0.38872275,0.40701926,0.44617566,0.49745712,0.54067653,0.5552769,0.53539425,0.49280247,0.44679037,0.41053733,0.38883114,0.38309622,0.39681125,0.43231902,0.48294488,0.53027385,0.552732,0.5407571,0.5023687,0.45567003,0.41578615,0.38977936,0.3806105,0.3915168,0.42427564,0.47155985,0.5149276,0.5362578,0.53282714,0.52313477,0.52641183,0.545839,0.5609806,0.5549442,0.52954,0.5089422,0.5098203,0.5264186,0.5359664,0.52651006,0.5113256,0.5118846,0.5345361,0.55739564,0.5558658,0.52250594,0.47693023,0.43964818,0.41528043,0.39210263,0.3656474,0.35190263,0.37216046,0.42634404,0.4802669,0.49264887,0.4472882,0.36747953,0.2919144,0.24655521,0.2324547,0.23662311,0.2452664,0.24873729,0.23926443,0.21378285,0.17988265,0.1612733,0.18486069,0.2605134,0.36427364,0.45175338,0.4880751,0.4721129,0.43086305,0.39457193,0.37752414,0.37627625,0.3800671,0.38012958,0.37367797,0.3637437,0.3553063,0.3517581,0.35296497,0.3570125,0.36248338,0.36841026,0.37448072,0.38077632,0.38955995,0.40061232,0.4090694,0.40434206,0.38152754,0.34553495,0.30992988,0.2836099,0.26624826,0.25197232,0.23825377,0.23117213,0.23816176,0.2611653,0.28773406,0.30162296,0.2929262,0.27010888,0.24952255,0.2432425,0.25156146,0.27245936,0.31060937,0.3705386,0.44295433,0.5010221,0.52143985,0.50364393,0.4699788,0.44426903,0.43554664,0.4400318,0.45308265,0.47624788,0.5106406,0.54829913,0.572005,0.568598,0.5411086,0.5058431,0.478117,0.46144363,0.45190156,0.44647518,0.44641843,0.45052624,0.45082617,0.43542743,0.39988947,0.3527005,0.30999956,0.2811434,0.261876,0.2414291,0.21681994,0.19912504,0.20307767,0.23315941,0.27697685,0.3166343,0.34006777,0.3481373,0.34686115,0.34222972,0.3371184,0.33768773,0.3554137,0.4009967,0.47173095,0.5458626,0.5958138,0.606926,0.5871901,0.5562865,0.5307761,0.5153697,0.5059986,0.49499106,0.47752202,0.45481017,0.4347657,0.42586526,0.43099186,0.4457293,0.46292248,0.47766602,0.48838198,0.49599385,0.5022944,0.5072024,0.5051113,0.48546723,0.44162738,0.37974545,0.31896797,0.27763036,0.2617297,0.26228106,0.26827028,0.27515373,0.28621808,0.30251503,0.31905004,0.3286488,0.329608,0.32721296,0.32692847,0.3298683,0.332405,0.33314118,0.33479467,0.34191886,0.35285497,0.35698673,0.3416526,0.30317813,0.25510132,0.21760859,0.20444596,0.21112482,0.22821146,0.25538892,0.30643657,0.3882314,0.48118392,0.5444861,0.5463675,0.49108973,0.41353408,0.35180974,0.32315803,0.32402357,0.34379137,0.37370655,0.4034358,0.41659987,0.40084323,0.3650498,0.34478346,0.37545884,0.46059212,0.56011885,0.6235284,0.6262662,0.58479077,0.53386164,0.4993911,0.48721996,0.48987362,0.49862847,0.50837564,0.5174938,0.52610785,0.5360338,0.55264664,0.5811302,0.61946696,0.6519584,0.65613604,0.6187082,0.5483637,0.4709536,0.4122796,0.3825089,0.37562633,0.37918484,0.38469818,0.38954198,0.39330217,0.3947344,0.39258865,0.3875306,0.38165107,0.3757081,0.36929333,0.3638961,0.3660253,0.38300768,0.41305122,0.44113418,0.44623473,0.41940686,0.36938766,0.3165458,0.2752935,0.24917889,0.23392665,0.2269672,0.23033161,0.24707977,0.27605522,0.30866107,0.3347745,0.34820655,0.3506323,0.34671143,0.34073803,0.33742997,0.34579802,0.37839198,0.4387786,0.51192206,0.56724524,0.58200336,0.5583201,0.5198579,0.49009427,0.47713247,0.47823897,0.49095774,0.518887,0.5614526,0.60644335,0.63199407,0.62390757,0.58798784,0.5446908,0.5126112,0.49516657,0.48718965,0.48309994,0.48417702,0.48874927,0.48916224,0.47108296,0.4293511,0.37218714,0.3190489,0.2829306,0.26583865,0.2604685,0.26204264,0.26781785,0.27408367,0.27076045,0.24840488,0.207904,0.16561003,0.1442244,0.15558217,0.19231947,0.23620045,0.2784185,0.32891187,0.40385315,0.50401974,0.60361385,0.6674214,0.6730208,0.62730426,0.55664784,0.4907631,0.44596243,0.42344674,0.41514686,0.41337028,0.41438496,0.41847077,0.425773,0.43598196,0.44689623,0.4567813,0.46356174,0.46737552,0.4699242,0.475405,0.48486987,0.4950463,0.49714315,0.4867023,0.46594426,0.44480267,0.43053904,0.42499426,0.4240917,0.42398462,0.42371902,0.42536712,0.43191147,0.4440736,0.45953903,0.47334257,0.48146012,0.48262084,0.478588,0.47185603,0.46420625,0.4566586,0.4499539,0.44470283,0.44099304,0.43879512,0.4384121,0.44062176,0.44508943,0.450173,0.45413744,0.4598585,0.47516152,0.50833493,0.55746514,0.60690504,0.63412666,0.6261573,0.5882097,0.53959835,0.49877045,0.47446394,0.4657565,0.4689332,0.47943118,0.49068415,0.49402943,0.486405,0.47674718,0.48287225,0.51339287,0.5551209,0.57794696,0.5613992,0.5120048,0.45796868,0.42400798,0.4151297,0.42144892,0.4317535,0.44237456,0.45237014,0.46087623,0.4663186,0.4727697,0.48922276,0.52380496,0.5726103,0.6166432,0.631171,0.6028443,0.53935945,0.46364856,0.3981299,0.35361657,0.3284922,0.31594852,0.3113382,0.314793,0.32882717,0.35187677,0.37699184,0.39492783,0.40182126,0.4003466,0.39708674,0.39799082,0.40733925,0.42634,0.44925657,0.4627149,0.45230028,0.415203,0.36343133,0.31555855,0.28287733,0.26538894,0.256331,0.2487076,0.23702236,0.21709473,0.1870063,0.14953123,0.11306054,0.08946838,0.08874916,0.1131492,0.15610826,0.20872481,0.2693906,0.34426355,0.4335493,0.5176465,0.56074774,0.537145,0.4522408,0.341568,0.24485415,0.18533818,0.16706413,0.18827443,0.24991484,0.34646437,0.4535749,0.52831036,0.53679806,0.4770825,0.38208064,0.291316,0.2286738,0.19743823,0.194852,0.2200826,0.26814422,0.3220451,0.35559765,0.35354364,0.32027242,0.2762379,0.23742098,0.20856442,0.1846642,0.16153578,0.14011075,0.12544243,0.12361751,0.13614188,0.1602531,0.18785869,0.21139197,0.22457133,0.22691174,0.2246633,0.23324156,0.27244055,0.34983423,0.44672313,0.5180963,0.5244119,0.45859644,0.3534061,0.2520625,0.18190795,0.14452432,0.128488,0.12260225,0.121495716,0.12364283,0.12793748,0.13237864,0.13482213,0.13423292,0.13098466,0.12624583,0.12386087,0.13190879,0.16209963,0.2164373,0.2784422,0.31426567,0.3011875,0.24598075,0.18487738,0.15068714,0.1516511,0.16900782,0.18021029,0.17488176,0.15987313,0.1480679,0.14773446,0.15601595,0.16345854,0.16174339,0.14923458,0.12924978,0.10627079,0.084333,0.06782124,0.060812067,0.0640868,0.073233,0.081546664,0.085531,0.08904488,0.09898779,0.11895155,0.14631672,0.18074262,0.23177564,0.31048697,0.41108522,0.49901995,0.53331476,0.49523017,0.40601447,0.30733147,0.23555987,0.2055992,0.2148856,0.2539874,0.30899242,0.3615614,0.38977447,0.38444328,0.36063457,0.35374543,0.38892022,0.45660853,0.5151279,0.525433,0.4799104,0.40416983,0.33143744,0.2804087,0.25082204,0.23379426,0.22282456,0.21579252,0.2133113,0.21636213,0.2298603,0.26432785,0.328115,0.4135406,0.4902328,0.52327967,0.49875355,0.4358276,0.36926273,0.32396832,0.30294338,0.29556856,0.2908143,0.28508344,0.2792071,0.27621266,0.2758119,0.27745533,0.27778584,0.27570215,0.26933777,0.26175925,0.25893137,0.27176106,0.30483294,0.34914353,0.37927863,0.37048104,0.3180816,0.244385,0.18309796,0.15511966,0.15718465,0.16902089,0.17309336,0.16664249,0.16039145,0.16407967,0.17696904,0.1888932,0.19284551,0.19195843,0.19743983,0.2178005,0.2553291,0.30917427,0.37891018,0.45796847,0.5254803,0.552443,0.52147883,0.44293055,0.34788522,0.2680433,0.22093976,0.21209188,0.24350457,0.3140701,0.41082978,0.5027707,0.5519774,0.53674585,0.46764147,0.37931374,0.30665198,0.2665726,0.25922647,0.278694,0.31925967,0.37016666,0.41311988,0.42808577,0.4093429,0.36945745,0.3309224,0.3082832,0.30199322,0.30344355,0.30412033,0.3006221,0.29275727,0.28207764,0.2693398,0.25541124,0.24103755,0.22730769,0.2141791,0.20108406,0.19103058,0.19587155,0.23308574,0.3097322,0.4069458,0.48407233,0.50634354,0.47079408,0.40579355,0.34631577,0.3094522,0.29199207,0.28176835,0.27052757,0.25481632,0.23391493,0.20769066,0.17911537,0.15430374,0.13942778,0.13590468,0.13971917,0.14777069,0.16368835,0.19783252,0.25153366,0.30781877,0.3338569,0.3103226,0.24632049,0.1760028,0.1270737,0.10587451,0.09988079,0.09796808,0.09889262,0.10802052,0.12671119,0.148117,0.16244228,0.1639689,0.15501674,0.1406397,0.12503296,0.10904378,0.094893746,0.08703899,0.09125327,0.10823893,0.13108099,0.14892797,0.15657231,0.16061668,0.1726752,0.19739328,0.22857372,0.26174632,0.3065056,0.37574887,0.46368274,0.53348583,0.5459535,0.49081412,0.40018114,0.3180841,0.27024475,0.25412562,0.2577063,0.2767981,0.31161106,0.35425135,0.3851155,0.3926623,0.38806272,0.39983916,0.44360748,0.5033053,0.5398737,0.52454394,0.4613782,0.38205037,0.31848642,0.28213322,0.26528534,0.25634143,0.2513374,0.25134087,0.2564046,0.26479638,0.27980173,0.31334412,0.37583527,0.46208993,0.5439928,0.58767605,0.57559466,0.52002126,0.45150813,0.39766696,0.3688396,0.35900426,0.3580408,0.36035815,0.3658646,0.37478933,0.3843083,0.3909255,0.3927485,0.3916473,0.3896518,0.38876733,0.38984385,0.39685524,0.41252482,0.4336672,0.4457171,0.4335266,0.39360484,0.33905998,0.28775117,0.24918567,0.22233836,0.20289351,0.19217569,0.19671838,0.22193015,0.26312444,0.30596888,0.33542147,0.3463975,0.34305406,0.3308853,0.31215015,0.29327118,0.29146984,0.3263618,0.399894,0.4849213,0.54333025,0.55378705,0.52805835,0.49338612,0.47096184,0.46391633,0.4693575,0.48775592,0.5224351,0.5676313,0.6035073,0.60962874,0.5811358,0.5364498,0.49800804,0.47822618,0.4718438,0.4723024,0.47703722,0.48758432,0.49549067,0.48258185,0.4321222,0.34835148,0.25842622,0.19569892,0.17578004,0.18932652,0.21450774,0.23514158,0.24847138,0.25832677,0.2665712,0.2700775,0.2672355,0.2620797,0.26265648,0.27368927,0.29306272,0.31740475,0.34897223,0.39699617,0.4652721,0.54254574,0.60289174,0.6237902,0.600396,0.5485906,0.49113202,0.44507757,0.41524544,0.39850858,0.38923752,0.38432178,0.3833048,0.38713136,0.39553937,0.40634382,0.4163085,0.423099,0.4269543,0.43107352,0.43980375,0.45613602,0.4764601,0.49112257,0.48669758,0.45728967,0.4077431,0.35331747,0.30734527,0.27513695,0.25289267,0.23643677,0.22614034,0.22643489,0.23975909,0.26324308,0.2905272,0.3154039,0.33429095,0.34480092,0.34548402,0.33606377,0.31970584,0.30231205,0.28953317,0.28353038,0.28219116,0.28280696,0.28364888,0.28557515,0.2877709,0.28916693,0.28993276,0.2988911,0.33124557,0.39544955,0.47728625,0.5372929,0.5381154,0.4718195,0.37134266,0.28269,0.23470204,0.22604865,0.24176522,0.2737317,0.31947124,0.3701415,0.4032987,0.40494934,0.38793316,0.3892655,0.43564948,0.517029,0.592596,0.62461185,0.6062259,0.5599176,0.5146454,0.48633873,0.47490397,0.47331074,0.4757407,0.4791405,0.4819584,0.48373127,0.48811853,0.50369817,0.5372567,0.5837426,0.62205696,0.6276989,0.59112257,0.5257556,0.45803174,0.40800807,0.3810428,0.37004638,0.36676267,0.36614153,0.36705828,0.3684169,0.36910614,0.3683553,0.36745057,0.36784843,0.37004292,0.3742011,0.38270092,0.4009498,0.42888892,0.45621243,0.4630772,0.43853128,0.3890448,0.33651218,0.2982981,0.27817798,0.2682834,0.26185736,0.25898743,0.26511094,0.28274742,0.3071271,0.3267015,0.3323677,0.32362875,0.30915833,0.29773912,0.29355025,0.29825798,0.3198782,0.36770013,0.4410181,0.51510864,0.55859536,0.55390364,0.51617986,0.47342274,0.44758892,0.44082654,0.4491816,0.4725256,0.51415205,0.5678564,0.61102456,0.61936563,0.5855804,0.5299288,0.48018432,0.4540104,0.44865263,0.45556557,0.46814108,0.48421645,0.49744853,0.49747923,0.47616598,0.4366574,0.39195147,0.35601577,0.33325872,0.3181903,0.3015963,0.2805077,0.26070014,0.25279474,0.2617229,0.28239623,0.30276978,0.3133351,0.30996123,0.29205146,0.26097694,0.22685502,0.21338671,0.24812274,0.339465,0.46116745,0.5647874,0.61153764,0.59567237,0.5416757,0.4816282,0.4368608,0.41157806,0.3989292,0.38898745,0.3759302,0.36126637,0.3510612,0.3505143,0.35861734,0.36999086,0.37892166,0.384258,0.388898,0.39767715,0.41160068,0.4226311,0.41458407,0.3743755,0.30751726,0.23888077,0.19603057,0.18748511,0.198977,0.20953757,0.2102058,0.2089506,0.21762724,0.23932318,0.2651819,0.28579178,0.29907063,0.30995694,0.32112765,0.32941934,0.33026278,0.32406557,0.31716934,0.3144631,0.31495428,0.3113424,0.29848,0.27662697,0.2512428,0.2248437,0.19733067,0.17169876,0.16385908,0.1966952,0.28066435,0.39529744,0.49364313,0.5327367,0.50176936,0.42726794,0.34746453,0.28694844,0.2493564,0.23126562,0.23389137,0.25863385,0.296959,0.330763,0.35011223,0.36495855,0.39608562,0.45013738,0.5068152,0.5334949,0.51254195,0.45478055,0.38789144,0.33400902,0.2981191,0.27294302,0.251906,0.23596805,0.22985022,0.23426127,0.24514477,0.26149622,0.29304206,0.35057402,0.43049744,0.50397444,0.53657913,0.5113227,0.4447491,0.37025818,0.3170747,0.29388678,0.29365027,0.30330524,0.31218144,0.3136386,0.30503094,0.28826454,0.2687421,0.25264284,0.24311365,0.23920326,0.23681837,0.2305835,0.21611379,0.19190054,0.16120215,0.13079932,0.108230375,0.097317904,0.096554376,0.09974588,0.1001667,0.0942204,0.08339862,0.072323106,0.064877875,0.06166379,0.0601991,0.05831836,0.055720102,0.054196935,0.054484095,0.055733178,0.05564371,0.05347978,0.05018377,0.047743816,0.04687215,0.046950012,0.047113303,0.047304597,0.04826777,0.050070513,0.05198346,0.052684348,0.05193003,0.050495114,0.04967499,0.0498568,0.050434854,0.05061533,0.050471526,0.051513195,0.055617105,0.06361053,0.07336646,0.08145594,0.08619326,0.091888525,0.10626521,0.13538574,0.17601754,0.21746273,0.24654178,0.2579102,0.25530496,0.24879132,0.24547559,0.24635468,0.24812682,0.24858348,0.24845898,0.24891086,0.24937494,0.2479945,0.24378163,0.23705955,0.22827478,0.21769673,0.2060942,0.19527973,0.18658997,0.17934968,0.17073222,0.15814735,0.14135782,0.12288002,0.10593069,0.092365436,0.08248638,0.07602355,0.07317261,0.07357635,0.07574909,0.07704595,0.07567542,0.07167102,0.06681676,0.06313371,0.062064145,0.064312376,0.07048688,0.08166226,0.099961855,0.12674199,0.16038875,0.1941361,0.21970777,0.23152065,0.23070371,0.22224414,0.21187794,0.2022271,0.19367169,0.18424262,0.17194553,0.15503442,0.13492513,0.11620713,0.10607239,0.11024966,0.12933241,0.1576118,0.18543701,0.20501418,0.21368814,0.2142333,0.21079741,0.206483,0.20251621,0.19936508,0.19696738,0.19510286,0.19371708,0.19339037,0.19448625,0.19666667,0.19871233,0.19987334,0.19996321,0.19928692,0.19773322,0.19523133,0.1920745,0.18934049,0.1881287,0.18890005,0.19075441,0.19212435,0.19164087,0.18929374,0.18588166,0.18218188,0.1780182,0.17260401,0.1649982,0.15419213,0.13923723,0.11951458,0.09600515,0.07137584,0.049800906,0.0347557,0.027704863,0.026717579,0.029105628,0.036832344,0.062348228,0.12497149,0.23348375,0.36966166,0.4902164,0.5568648,0.5622634,0.5328526,0.50117064,0.48427573,0.47932532,0.47745034,0.4730521,0.46685433,0.462404,0.4631841,0.46957543,0.47809735,0.48382127,0.4837567,0.47928944,0.47489777,0.4749231,0.48008952,0.48311254,0.47021532,0.42666718,0.35187054,0.2648625,0.19805838,0.17194581,0.17999654,0.19334187,0.19102372,0.18046446,0.19078869,0.2392155,0.30790007,0.35638916,0.35806438,0.32467374,0.28879204,0.27069128,0.26248232,0.25274864,0.25270635,0.29032102,0.37703383,0.48514685,0.5716479,0.610783,0.61306936,0.60247177,0.59763604,0.6010322,0.6115485,0.62879175,0.6538987,0.6808781,0.6962028,0.6882675,0.6578896,0.62215877,0.5990998,0.5971207,0.60913295,0.6231439,0.6276608,0.6138362,0.57291853,0.49919975,0.39775977,0.288964,0.20171331,0.15504861,0.14480795,0.14753854,0.1440949,0.13679379,0.14499159,0.17826825,0.22033136,0.24147101,0.2296197,0.20509647,0.1979894,0.21685617,0.23982675,0.24661988,0.24724747,0.2780491,0.36390185,0.48828435,0.6051521,0.6723404,0.6814718,0.6524047,0.614646,0.5867894,0.57275796,0.5664538,0.56066495,0.5529835,0.54621196,0.54456204,0.5485899,0.55505687,0.5599702,0.5625269,0.56438303,0.5666931,0.5675709,0.5626103,0.5477771,0.5230779,0.4946097,0.47292316,0.4668208,0.47822917,0.5013025,0.5274458,0.5496726,0.5648994,0.5732322,0.57778525,0.58272487,0.5908347,0.6004061,0.6070536,0.60734123,0.6026225,0.59704494,0.59386724,0.59260637,0.5907123,0.58699036,0.5832312,0.582743,0.5866676,0.59288144,0.59789664,0.60051256,0.60282296,0.6086735,0.6213439,0.64251405,0.67001826,0.69756836,0.7144367,0.71284765,0.6914025,0.6589187,0.6269308,0.6047635,0.59361035,0.5888238,0.5829153,0.5696616,0.547303,0.5212077,0.5044437,0.5126498,0.5530401,0.61609435,0.67582554,0.7047181,0.6895714,0.6396973,0.57874924,0.5293178,0.50235516,0.49555695,0.5010368,0.5109456,0.52154654,0.5317066,0.5427439,0.5580106,0.58208084,0.6144809,0.6433046,0.6467756,0.60899967,0.5330325,0.44043127,0.35235974,0.27898034,0.21950366,0.17323335,0.13999999,0.11845481,0.10322902,0.08969864,0.0756288,0.06176733,0.04898694,0.03836545,0.030691683,0.026826808,0.026624715,0.028692938,0.030614167,0.030361952,0.027385898,0.022812935,0.018363735,0.015221327,0.013578258,0.0129474355,0.012731507,0.012527396,0.012241119,0.011950348,0.0117398575,0.011544141,0.011186822,0.010527653,0.009603006,0.008586197,0.0076878387,0.0070584193,0.006792846]