[0.0139877135,0.013962761,0.014067254,0.014543093,0.015467112,0.016627807,0.017621577,0.018031612,0.017572073,0.016161151,0.013978563,0.011906962,0.01164998,0.01557671,0.024932155,0.03952411,0.05764604,0.07853627,0.10156431,0.12572081,0.14731054,0.16183902,0.16582799,0.16005182,0.14921547,0.14046079,0.13859804,0.1439998,0.15190704,0.15716712,0.15669163,0.15198134,0.1457016,0.14038779,0.1358459,0.13159822,0.12736873,0.12449318,0.12377464,0.12474433,0.12534656,0.124472074,0.12350627,0.12600982,0.13393378,0.14554508,0.15590538,0.16145484,0.16186917,0.16047595,0.16042626,0.16326094,0.16675866,0.16685875,0.15918641,0.1427768,0.121228874,0.10181259,0.09134674,0.091774434,0.098630734,0.10403805,0.102668025,0.09579266,0.08991667,0.0909316,0.09908995,0.10919011,0.11532894,0.11562213,0.11307639,0.11268405,0.11762766,0.12741216,0.1389511,0.14899103,0.15595774,0.15990277,0.1614867,0.1611582,0.15905239,0.15530957,0.15005961,0.14330496,0.13478965,0.124507874,0.11320468,0.10240767,0.093593515,0.08730904,0.08326369,0.081507884,0.08342727,0.09085455,0.10333402,0.11659052,0.12474861,0.12516214,0.120669745,0.11676154,0.11669805,0.11966423,0.12289295,0.12453175,0.124567956,0.12414786,0.12478199,0.12756953,0.13268727,0.13898633,0.14476554,0.14876264,0.15078358,0.15143014,0.15101676,0.14919369,0.14508595,0.13885605,0.13251042,0.12904222,0.12988667,0.13299656,0.1344922,0.13164656,0.12537012,0.1183992,0.11299771,0.10894039,0.1049367,0.09996795,0.09444747,0.089342415,0.08533361,0.082269184,0.079591624,0.076913066,0.074284665,0.071981035,0.07020679,0.0688929,0.06792349,0.06717903,0.06675631,0.06668347,0.06691446,0.06706342,0.06660215,0.065099575,0.06279362,0.06104852,0.062294394,0.06892708,0.08145183,0.097244285,0.111436814,0.12003428,0.12287018,0.12420368,0.12902005,0.13907172,0.15068892,0.15867902,0.16010863,0.15684451,0.15232842,0.14931251,0.14807492,0.14799055,0.1477574,0.14630644,0.14271109,0.13721637,0.13117097,0.12665182,0.12545659,0.12810607,0.13375653,0.14016332,0.14522241,0.14759922,0.14762355,0.14632757,0.14487658,0.14409788,0.14448135,0.14635599,0.14928661,0.15249054,0.15493567,0.15655215,0.15811263,0.16100018,0.16564818,0.17069568,0.17295098,0.16934235,0.15879409,0.14339052,0.12691021,0.113127254,0.10359133,0.09781042,0.09387661,0.09050247,0.08747957,0.08562457,0.08540276,0.08643186,0.087252855,0.08644477,0.083410926,0.079141416,0.07538519,0.07377566,0.07483695,0.07822532,0.082822226,0.08728387,0.090250105,0.09160626,0.09289935,0.096921,0.10458071,0.112745315,0.11476735,0.10546619,0.08543522,0.060964104,0.039485965,0.024983464,0.01726556,0.013806676,0.012208685,0.011048991,0.0099829985,0.009549804,0.011238479,0.017535588,0.030758804,0.051079255,0.07483932,0.09592134,0.10902839,0.112412386,0.10732529,0.09584614,0.07996229,0.06234707,0.047114182,0.038127318,0.036833923,0.0414386,0.04960434,0.061209455,0.07889119,0.103788726,0.13261755,0.1576223,0.17293538,0.17730413,0.17482823,0.16935687,0.16366364,0.15865614,0.15647627,0.1594701,0.16955458,0.18570411,0.20422506,0.22005105,0.22973035,0.23294441,0.23175357,0.22863396,0.22471856,0.21999419,0.21311079,0.20259361,0.18802135,0.1724252,0.161142,0.15843374,0.16373962,0.17269923,0.18115796,0.18787493,0.19345474,0.19736083,0.19777316,0.19327591,0.18510188,0.17600198,0.16820438,0.1612843,0.15262806,0.13988064,0.12391185,0.109974466,0.10471138,0.11182507,0.12930296,0.1514589,0.17253031,0.18948615,0.20107603,0.20646115,0.20370911,0.19146025,0.1703792,0.14487965,0.122003116,0.10827381,0.105957694,0.11079603,0.11511483,0.11286789,0.10453155,0.09546312,0.091467716,0.09429351,0.10254902,0.11379349,0.12660703,0.13904615,0.14914733,0.15502597,0.15666054,0.15415746,0.14783686,0.13809568,0.12735139,0.11829511,0.11212381,0.10728419,0.10232464,0.09831634,0.09834259,0.104189895,0.11388422,0.12334856,0.12960948,0.13277115,0.13501178,0.13828537,0.14320363,0.14868452,0.15321982,0.15599667,0.15798101,0.1610081,0.165715,0.17039597,0.17229737,0.17021763,0.16558652,0.16074778,0.15708466,0.15415734,0.15089794,0.14613046,0.13896124,0.12920305,0.11787787,0.10739824,0.099850506,0.09635457,0.09650759,0.099575825,0.10455688,0.11060536,0.11739688,0.12487193,0.13264519,0.13880849,0.14147823,0.14012896,0.13607077,0.130001,0.12062025,0.10661492,0.08981552,0.07652225,0.073243864,0.08268625,0.10143676,0.12306136,0.14136761,0.15287906,0.15732588,0.15640186,0.15290761,0.14867389,0.14479369,0.14137734,0.13854717,0.13624227,0.13435666,0.13282758,0.13212335,0.13312286,0.13674755,0.14272936,0.14943027,0.15440895,0.15590347,0.15413095,0.15081163,0.14826886,0.14708744,0.1458294,0.14171274,0.13392681,0.12520133,0.12078592,0.12380167,0.13163705,0.1372417,0.13466871,0.12513258,0.11550156,0.113123305,0.11887171,0.12861095,0.13675886,0.14131795,0.14298771,0.14351077,0.14328931,0.14155217,0.13687174,0.12894453,0.119036384,0.109877646,0.10353286,0.100925125,0.10200698,0.1066049,0.11388844,0.12165326,0.127502,0.13034745,0.13142075,0.13257514,0.13473968,0.13741183,0.13984084,0.14258498,0.14727752,0.15533699,0.16552709,0.17419927,0.17683683,0.17129524,0.15851241,0.14190851,0.12520726,0.11119706,0.101158716,0.094960876,0.09155974,0.089635156,0.088068224,0.08630028,0.083960384,0.08121266,0.07827439,0.075747244,0.073831014,0.07253244,0.07179358,0.07219269,0.074964404,0.080825776,0.08892769,0.09677125,0.1023419,0.10578861,0.10883326,0.111720234,0.11110502,0.1023026,0.083693035,0.059474513,0.036710188,0.020758545,0.012350626,0.009220322,0.008606917,0.008931104,0.009503881,0.010106033,0.011129543,0.014071803,0.021451905,0.034972806,0.053719252,0.073563546,0.089788,0.099511035,0.10266728,0.10008108,0.09206977,0.07870465,0.061267566,0.042916406,0.027258152,0.016749527,0.011776953,0.01163564,0.015552054,0.023008203,0.032994654,0.04347402,0.05212237,0.057602808,0.060322244,0.06162341,0.062805146,0.06446347,0.06686953,0.06999829,0.07374272,0.07773388,0.08179932,0.085997336,0.09064105,0.09582689,0.101212494,0.106072694,0.10951888,0.110785104,0.10981134,0.10807368,0.10929093,0.11763426,0.13492619,0.15761885,0.17866617,0.19185662,0.19642924,0.19679965,0.19799943,0.20182472,0.20577432,0.2071969,0.20528059,0.20198172,0.1988567,0.1965627,0.19469373,0.19326168,0.19219024,0.19118135,0.1902877,0.19138564,0.19789891,0.2116787,0.23026119,0.24741757,0.25809455,0.26158574,0.26110902,0.25947022,0.25716838,0.25304857,0.2466768,0.2381841,0.22692658,0.21061908,0.18774714,0.16040568,0.138156,0.13689066,0.1763363,0.26431444,0.38752842,0.50501233,0.57366514,0.5693393,0.50603944,0.417869,0.33874848,0.2831261,0.24959493,0.23075126,0.2209959,0.21724434,0.21645533,0.21605821,0.21512137,0.21445514,0.21470647,0.21518733,0.2148604,0.21361305,0.21210247,0.21016617,0.2064027,0.19978707,0.19130893,0.18374442,0.17889966,0.17658447,0.17634588,0.18052469,0.19308345,0.21342026,0.23263015,0.23741345,0.22106321,0.18830515,0.1510859,0.118650705,0.09451917,0.07992979,0.07817935,0.09262348,0.12162802,0.15665865,0.1869751,0.20591207,0.21365541,0.21417202,0.21135223,0.20689386,0.20146842,0.19538368,0.18911028,0.18273874,0.17674589,0.17208196,0.1699676,0.17018954,0.16972089,0.1634961,0.14776368,0.12455833,0.10189804,0.08954251,0.092816226,0.111088835,0.1404192,0.17678547,0.21593481,0.25243166,0.2804445,0.29700568,0.30319843,0.3020704,0.29476714,0.2798749,0.25947073,0.24481668,0.25686255,0.30946848,0.39575803,0.48020387,0.52242863,0.49903336,0.423829,0.33159184,0.25764027,0.21520336,0.199062,0.19669373,0.20078307,0.20966206,0.22365104,0.24215673,0.26336268,0.28377518,0.29734772,0.29792753,0.28353676,0.2585446,0.23012602,0.20319025,0.17976433,0.16232012,0.15600239,0.16509677,0.18758313,0.21377449,0.23167647,0.2346298,0.22472866,0.2095444,0.19609971,0.18695349,0.18141232,0.17804706,0.17679955,0.17790234,0.18171203,0.1884227,0.19930251,0.21513842,0.23456694,0.2536085,0.2706182,0.29132447,0.32865214,0.3901745,0.4673008,0.5313298,0.5533696,0.5209765,0.45090875,0.3725605,0.31261006,0.27951053,0.2686887,0.26939544,0.27348527,0.27689084,0.27928594,0.28152788,0.28357923,0.28387746,0.280504,0.27315128,0.26300606,0.25225592,0.24256909,0.23560159,0.23202007,0.2316954,0.23301287,0.23469453,0.23617268,0.23821546,0.24214381,0.25035793,0.2650207,0.2848226,0.30255532,0.30774817,0.29465243,0.26679495,0.23511408,0.20985083,0.19546746,0.18987285,0.18799628,0.18513852,0.17928825,0.1717413,0.16634905,0.16731721,0.1766128,0.19192058,0.20724027,0.21551527,0.21268593,0.19969791,0.18183331,0.1653598,0.15453449,0.15032,0.1511705,0.15447791,0.15767507,0.15914215,0.15875967,0.1585501,0.16165309,0.1705435,0.18465602,0.20051728,0.21381514,0.22212273,0.22593959,0.22794028,0.23277676,0.24602993,0.27207336,0.30775592,0.34136257,0.3574991,0.35240984,0.33923796,0.3434732,0.38010517,0.44178534,0.49698365,0.51445156,0.4806099,0.41108084,0.3336294,0.27316943,0.23735131,0.22208953,0.2177919,0.21709944,0.21650667,0.21686088,0.22258194,0.23646678,0.25562966,0.27050504,0.27301002,0.2627112,0.24678437,0.23229653,0.2211114,0.21102464,0.19971514,0.18704534,0.17388608,0.16146739,0.15092848,0.14466734,0.14543408,0.15507442,0.1713335,0.18864073,0.20045637,0.20391111,0.20024575,0.19329806,0.1861595,0.17998485,0.17400329,0.16625376,0.15446581,0.13718982,0.11673618,0.10241622,0.11189713,0.16369575,0.26237023,0.3863852,0.4933041,0.5445927,0.5285556,0.46602687,0.39042747,0.32809207,0.28728953,0.2649093,0.25358617,0.24722242,0.24168618,0.23532234,0.22895266,0.22424118,0.22197306,0.2209724,0.21942474,0.21626513,0.21203144,0.20772159,0.20425339,0.20182227,0.20071669,0.2009164,0.202636,0.2057354,0.2104878,0.21797802,0.2308851,0.25082397,0.27430487,0.2912663,0.29057884,0.26843232,0.23135656,0.19277978,0.16480242,0.15385914,0.1576946,0.16900437,0.17866103,0.18127047,0.17523766,0.16253299,0.14724427,0.13558221,0.13408327,0.1451751,0.16422084,0.18058737,0.1846473,0.1733849,0.15200369,0.12927459,0.11213174,0.101797186,0.09422376,0.08388879,0.06860253,0.051946286,0.04098753,0.041592058,0.05438444,0.0750382,0.097830534,0.11919764,0.13831793,0.15435,0.16564873,0.17034058,0.16946499,0.16582936,0.1626163,0.16004007,0.15813667,0.16096209,0.18208347,0.23747265,0.33080328,0.4391841,0.52029324,0.5382712,0.48798096,0.39843592,0.30983,0.25057197,0.22500573,0.22281702,0.23059215,0.24047963,0.24959667,0.2576617,0.26562485,0.27338198,0.2778952,0.27231202,0.2510789,0.21535076,0.17362837,0.13622002,0.10867234,0.0910379,0.08004111,0.07279163,0.06732253,0.06299209,0.06002432,0.059773024,0.0645234,0.076247014,0.09520648,0.11847336,0.14144264,0.15934913,0.17008634,0.17352097,0.17147428,0.16513212,0.15554088,0.14278814,0.12813897,0.11306411,0.10182219,0.10223759,0.12940429,0.1974361,0.30713752,0.4323586,0.5279687,0.5554922,0.5077743,0.4140201,0.31566268,0.24388355,0.205487,0.19297838,0.19425507,0.20094971,0.20833588,0.21481504,0.22208524,0.23302086,0.24925332,0.2679039,0.2834687,0.2909213,0.28927785,0.28108522,0.27069637,0.2618827,0.25684226,0.25525904,0.25475153,0.25170565,0.24479939,0.23669088,0.23510812,0.2460823,0.26943612,0.29485884,0.310782,0.30978867,0.2930428,0.26327255,0.2232065,0.17573059,0.12868163,0.09270781,0.07599927,0.07839401,0.09186554,0.10574902,0.11339045,0.11446168,0.1127873,0.112389736,0.1158276,0.123940386,0.13562416,0.1472498,0.15437676,0.15457363,0.1492467,0.14179139,0.1351373,0.12990807,0.12541269,0.12039103,0.11467571,0.10897832,0.10537067,0.10587359,0.1117918,0.121982284,0.13272315,0.13911708,0.13784859,0.12919314,0.11597852,0.10148274,0.087495506,0.07455181,0.06551785,0.069163054,0.10331172,0.1825484,0.30465266,0.43593207,0.52891994,0.5470169,0.4909706,0.39116445,0.28598306,0.19990005,0.13946828,0.10208761,0.08237032,0.075420074,0.07707728,0.0863122,0.10647007,0.13870408,0.1778677,0.21033138,0.22613157,0.2235831,0.21072692,0.19468951,0.17916495,0.16473435,0.15263431,0.14351666,0.13535883,0.124281056,0.108293794,0.09035829,0.07669929,0.07221627,0.0772545,0.0885925,0.10277089,0.11746051,0.13084166,0.14043261,0.14419544,0.14159302,0.13423608,0.12476816,0.11594687,0.10936072,0.105598025,0.10556343,0.11293521,0.13268779,0.1662675,0.20642461,0.24065442,0.25916263,0.26172498,0.2548493,0.24608791,0.23973,0.23762558,0.24092823,0.24995728,0.26366845,0.27775183,0.28764868,0.28996584,0.28635338,0.27970028,0.27356473,0.26862386,0.26572594,0.26468,0.26621392,0.27012387,0.27607176,0.28228852,0.28634655,0.28584394,0.279238,0.26639152,0.24841827,0.22843522,0.21041147,0.19794734,0.19178282,0.1902045,0.19039525,0.19149786,0.19476874,0.2023411,0.21427882,0.228302,0.24095118,0.25004408,0.25535837,0.25813767,0.25970712,0.26070917,0.2609897,0.2597619,0.25604984,0.24954836,0.2411583,0.23301752,0.22657807,0.22288151,0.22148894,0.22274794,0.22558986,0.22959834,0.23296426,0.23510467,0.23448761,0.23022474,0.22132881,0.20879675,0.19555236,0.18543743,0.1810881,0.18205293,0.18595052,0.18990862,0.19299005,0.19569463,0.19962345,0.20570987,0.2138548,0.2226469,0.23039551,0.23634191,0.24124615,0.24680535,0.25404772,0.2623681,0.2697568,0.27422902,0.2751076,0.27351034,0.27161035,0.27090177,0.27036393,0.26605535,0.25412288,0.23473455,0.21439044,0.20240188,0.20533514,0.2225896,0.24737394,0.27109754,0.28764346,0.2950826,0.29422346,0.28656206,0.27283874,0.25312698,0.22846009,0.2019233,0.17874159,0.16316323,0.15662752,0.1572383,0.1631663,0.17364997,0.18858804,0.20569743,0.22082925,0.23003604,0.23171227,0.22655992,0.21593274,0.20175402,0.18626471,0.1724263,0.1621372,0.1562686,0.15441217,0.15658866,0.1628956,0.17425804,0.1911412,0.21328314,0.23710375,0.2558999,0.26162553,0.25006476,0.22387226,0.19163056,0.16284232,0.14296436,0.13201566,0.12693998,0.124532945,0.12324113,0.12293116,0.12512654,0.13227947,0.1464997,0.1672675,0.19088347,0.21228693,0.22766067,0.23588943,0.2379346,0.2358462,0.23165233,0.22680426,0.2214809,0.21501969,0.20656615,0.19630545,0.18536055,0.17545117,0.16776246,0.16244988,0.15878974,0.15594429,0.15367854,0.15189563,0.15004836,0.14701734,0.14204618,0.13551281,0.12884064,0.123877235,0.12204448,0.123642266,0.12751645,0.13170636,0.13483639,0.13684802,0.1383362,0.13952017,0.14000149,0.13985543,0.13978718,0.14055817,0.14178337,0.14223182,0.14123566,0.13943154,0.13827027,0.13834369,0.13900252,0.13930565,0.13900806,0.13868326,0.13847883,0.13790679,0.13643199,0.13440816,0.13293152,0.13259779,0.13288409,0.13276364,0.13185908,0.13094391,0.13083361,0.13156684,0.13236813,0.13268654,0.13275729,0.13289945,0.1327486,0.1313232,0.12816353,0.124509506,0.12278605,0.12596439,0.1356113,0.15189476,0.17277195,0.19532102,0.21593173,0.23157282,0.24044812,0.2426238,0.24025305,0.23604697,0.23231898,0.22951561,0.22662793,0.22143598,0.21158232,0.1958708,0.17530854,0.15348487,0.13469772,0.121937834,0.11537249,0.113381006,0.11415997,0.116765104,0.12052255,0.12411765,0.1256476,0.12394216,0.120499164,0.11929757,0.124690235,0.13641502,0.14924206,0.15482034,0.14984646,0.13753365,0.12864442,0.13324194,0.15711536,0.19491076,0.23460625,0.2626399,0.27423772,0.2724398,0.26250604,0.24590294,0.22247805,0.19784069,0.1819799,0.18316974,0.19831206,0.21645164,0.22592896,0.22343828,0.21357678,0.20433675,0.20074195,0.20212431,0.20333107,0.19870923,0.18620344,0.16908245,0.15471601,0.15036024,0.15835147,0.17295383,0.18402998,0.1844184,0.17748052,0.17423649,0.1852616,0.2113543,0.24412198,0.27102807,0.28215432,0.2724578,0.24337249,0.20248942,0.16226292,0.13342799,0.119501166,0.11427653,0.10831249,0.095992506,0.080307625,0.06974686,0.07314959,0.093726695,0.1273598,0.16381322,0.19274212,0.20858175,0.21258569,0.2090413,0.20109601,0.18867119,0.17082639,0.14853272,0.12590091,0.10808491,0.0991291,0.10109818,0.113861226,0.13498954,0.15876772,0.17879324,0.1903299,0.19330347,0.19058774,0.18631725,0.18346573,0.1834808,0.18602486,0.18929571,0.1908343,0.18893163,0.18397357,0.17838617,0.17485423,0.17438936,0.17577986,0.17703669,0.17689054,0.17553802,0.17408292,0.17390652,0.1759016,0.18030779,0.186468,0.19328511,0.19922258,0.20284486,0.20273925,0.1983636,0.19029705,0.18057977,0.17160863,0.16509049,0.16121264,0.15908234,0.15741324,0.1552863,0.15227824,0.1488297,0.14579065,0.14390887,0.14221178,0.13839243,0.1305489,0.12031085,0.11292145,0.113872446,0.12481312,0.14216344,0.16046758,0.17559326,0.18665104,0.19386686,0.19686268,0.19322945,0.18016239,0.15854375,0.13740052,0.13639759,0.17661445,0.26804212,0.39371338,0.51550484,0.59004307,0.59690684,0.5463828,0.47145522,0.4032831,0.35664198,0.32886127,0.31142095,0.299154,0.29242113,0.292828,0.29921553,0.3074106,0.31295988,0.31401634,0.31158558,0.30757907,0.30301163,0.29734266,0.2898531,0.28100446,0.27308533,0.26913354,0.27057076,0.2757838,0.28191236,0.2884662,0.2999957,0.31982243,0.34358692,0.35584322,0.3428917,0.30359966,0.25382087,0.21338868,0.19478004,0.19757684,0.21281321,0.22847132,0.23363149,0.22255944,0.1964973,0.1636116,0.13388507,0.11378328,0.10311055,0.096735746,0.089832515,0.08182246,0.07701825,0.0803892,0.09328898,0.11185047,0.1297502,0.14210695,0.14715637,0.14504974,0.1361972,0.12153781,0.10432324,0.08966369,0.08198092,0.08148945,0.08508265,0.088694416,0.090255536,0.0891154,0.086022414,0.083351165,0.08568465,0.09719031,0.117907405,0.14253132,0.1655526,0.18856321,0.22387363,0.28616652,0.3778796,0.4783294,0.5517813,0.56963104,0.5299799,0.45788464,0.38668314,0.33889064,0.3175598,0.31298923,0.31252483,0.30909756,0.30271456,0.2991105,0.30629846,0.32774365,0.3581139,0.38177815,0.38510486,0.36377075,0.3262358,0.28230032,0.23876496,0.19885409,0.1674478,0.14934225,0.14509605,0.14826041,0.14938383,0.14245251,0.1294728,0.1178627,0.11515978,0.12398222,0.14266323,0.16599713,0.18707465,0.19760852,0.1926568,0.1737765,0.15074408,0.13559455,0.13648075,0.15206076,0.17533223,0.20133197,0.23600228,0.29164293,0.37320185,0.46437398,0.53230625,0.5493953,0.51291674,0.44772565,0.38585818,0.34896898,0.3385205,0.34512034,0.35636863,0.36477673,0.36766323,0.3667958,0.36559984,0.36651906,0.36982667,0.37433365,0.3793075,0.38438988,0.38874975,0.3904533,0.3881768,0.38252237,0.37637424,0.37265202,0.37294877,0.37659386,0.3825116,0.3906034,0.40257588,0.41750613,0.42866707,0.42325345,0.39298642,0.3411764,0.28423643,0.23883462,0.2128756,0.20172508,0.19626616,0.18928929,0.17939778,0.16852665,0.15959053,0.15435515,0.15333223,0.15545058,0.15872742,0.16124268,0.163189,0.1664452,0.17290281,0.18131231,0.18814881,0.19006307,0.18698041,0.18113525,0.17435314,0.16619825,0.15494226,0.14036398,0.12476503,0.11187679,0.10443156,0.10294492,0.10611803,0.11140432,0.115811445,0.11716816,0.118008874,0.12759127,0.15976512,0.21965753,0.29427716,0.3511887,0.36347792,0.33096257,0.29103407,0.2885104,0.344231,0.43302664,0.5088088,0.53651816,0.5175792,0.47664347,0.44008943,0.41882512,0.41064247,0.4089521,0.40914488,0.40936193,0.40955463,0.40996054,0.41341904,0.4201798,0.42754176,0.42485985,0.40558335,0.3701057,0.33001637,0.29441527,0.26669,0.2428522,0.22004004,0.19722892,0.17501795,0.15293449,0.13112496,0.11127729,0.09708718,0.092080794,0.09863359,0.11667625,0.14395998,0.17548352,0.20508958,0.22733606,0.23986118,0.24344821,0.2407393,0.23480022,0.22826505,0.22283405,0.22039248,0.22527735,0.24759115,0.29754654,0.37648186,0.46560824,0.5340139,0.5549433,0.5257091,0.46673802,0.40687263,0.3654556,0.34577,0.34170106,0.34518108,0.3515264,0.35793748,0.36286703,0.36517575,0.364635,0.36200118,0.3582921,0.3547645,0.35188898,0.3498009,0.34751013,0.34409443,0.3387414,0.33218458,0.3258398,0.32142422,0.3197529,0.32246664,0.33209956,0.3511466,0.37615255,0.3970884,0.4000275,0.3774396,0.33179677,0.27497068,0.22028185,0.17736726,0.15074046,0.1421854,0.15325089,0.18325667,0.22550957,0.26634517,0.29137424,0.29448506,0.28086138,0.2612948,0.24301036,0.2248708,0.20119728,0.16816,0.12959777,0.094624005,0.07361013,0.071887545,0.0882723,0.115215264,0.1424238,0.16189556,0.17159516,0.17623748,0.18298428,0.19686191,0.2177885,0.24261487,0.26843283,0.29435465,0.3192297,0.34013095,0.35345694,0.3588805,0.3594378,0.3581463,0.3543255,0.3464632,0.33969137,0.35013175,0.39622232,0.48147687,0.58169866,0.6541085,0.6635209,0.60626644,0.51201874,0.4207656,0.35918856,0.32932565,0.31981072,0.3186288,0.32195404,0.33112368,0.348012,0.3711594,0.3939453,0.4064764,0.3988886,0.3691068,0.32325828,0.27381197,0.23061025,0.19936599,0.18038003,0.17186429,0.170123,0.1715954,0.17382987,0.17605793,0.17806701,0.17944337,0.17947966,0.17794794,0.17472582,0.16957821,0.16159518,0.15063722,0.13869397,0.13040309,0.13019069,0.1382918,0.14899729,0.15338472,0.14586623,0.13144235,0.1284327,0.16370498,0.2537165,0.3893315,0.5286334,0.6223409,0.63931316,0.58832926,0.5035825,0.42283925,0.3660598,0.3343022,0.3192896,0.3122191,0.30904293,0.3085245,0.310983,0.31546047,0.3200084,0.3228971,0.32408845,0.32487515,0.3258377,0.32564306,0.32243565,0.31585076,0.30843464,0.30358994,0.30394647,0.30977753,0.31979862,0.3325893,0.34753963,0.3647734,0.38158253,0.39185455,0.38785377,0.36809656,0.33852944,0.3089211,0.28315604,0.25833812,0.22940671,0.19740717,0.16925013,0.1526401,0.14943123,0.15602006,0.16742611,0.18238758,0.20290394,0.23149973,0.26719952,0.3056406,0.34031013,0.3660152,0.38053653,0.38583788,0.38606954,0.3850473,0.38372383,0.38104662,0.37576213,0.3686109,0.3610041,0.35380086,0.3455577,0.3348609,0.3217168,0.30889344,0.29944828,0.29469836,0.29336596,0.29292,0.29202005,0.29086688,0.29100963,0.29301083,0.2969579,0.3042549,0.32102653,0.35792342,0.42121744,0.5037313,0.5780241,0.6121018,0.586075,0.510753,0.4159381,0.3341519,0.28018197,0.25309843,0.24360995,0.2430463,0.24507244,0.24709634,0.25235257,0.26747787,0.29327247,0.318112,0.32264486,0.2964367,0.24623846,0.191993,0.1506613,0.12858269,0.12125829,0.120954216,0.1212464,0.119769104,0.11755348,0.117195,0.120152615,0.12529771,0.12952544,0.12995884,0.12645227,0.121816985,0.12032261,0.12408471,0.13226421,0.14119808,0.14772262,0.14991246,0.14814876,0.14341098,0.13677068,0.12862329,0.11982248,0.113292634,0.11402345,0.12655653,0.1505662,0.17983,0.20534225,0.22129004,0.2279172,0.23012654,0.23300119,0.23864019,0.2454624,0.2499773,0.24873386,0.23983578,0.22353013,0.20218198,0.17944603,0.15879653,0.14248975,0.1310617,0.12418863,0.12075729,0.12042435,0.12259825,0.1273517,0.13262601,0.13577865,0.1330819,0.1233704,0.10818887,0.092242576,0.08067458,0.07597489,0.07669741,0.07853466,0.07863167,0.07693848,0.075701594,0.07607645,0.07793769,0.081002235,0.087289326,0.099599876,0.11921736,0.14249204,0.16350512,0.17691179,0.18305941,0.18593842,0.19139318,0.20196217,0.21708314,0.23296446,0.24572563,0.25176653,0.2487502,0.23505391,0.21176954,0.18371546,0.15929301,0.14589526,0.14578135,0.15490568,0.16699035,0.17776312,0.18636884,0.19303946,0.19764872,0.19966595,0.19980012,0.19910233,0.1981395,0.19598947,0.19160555,0.18469132,0.1759854,0.16677994,0.15827419,0.1511968,0.1450292,0.13833183,0.12979086,0.12016586,0.11230277,0.109602325,0.11310372,0.120556295,0.12743044,0.12958811,0.1256556,0.117301874,0.10841503,0.10245668,0.10185662,0.107294805,0.11889247,0.13592982,0.15746903,0.18186538,0.20696025,0.22952324,0.24664105,0.256829,0.2608572,0.25970545,0.25261357,0.23822255,0.21730237,0.1955377,0.17938711,0.1726917,0.1730898,0.17641892,0.17877392,0.17951624,0.17914714,0.17973179,0.18294887,0.18993972,0.19987144,0.21122424,0.22218072,0.23126346,0.23678268,0.23810013,0.2359686,0.23246492,0.22879459,0.22458912,0.21808134,0.20739113,0.19168271,0.17149036,0.14934741,0.12838687,0.111880176,0.101156086,0.09646072,0.096370995,0.099265754,0.10294815,0.10582165,0.1071468,0.107236765,0.10697285,0.106737696,0.10632316,0.10482457,0.10164989,0.09690785,0.09155709,0.08657665,0.08232226,0.078571565,0.07504983,0.071570665,0.06782181,0.06382305,0.060844872,0.061286014,0.066392906,0.07442745,0.08126672,0.08381012,0.081781685,0.07723267,0.07204509,0.06711017,0.06290885,0.06092152,0.06434021,0.076636024,0.09961877,0.1306743,0.16336007,0.18837,0.19737913,0.18583345,0.156545,0.11897356,0.08545857,0.065175936,0.06147703,0.07188823,0.09022519,0.10803172,0.11804939,0.11729088,0.10875829,0.098316275,0.090454064,0.08559892,0.0812427,0.07491766,0.06661124,0.05931509,0.05751534,0.0644088,0.07988957,0.100012,0.11978588,0.13558353,0.14705089,0.1552972,0.16154517,0.16586787,0.16804372,0.16781144,0.16462253,0.15722166,0.14413883,0.1258127,0.10566761,0.08931312,0.08085745,0.08030438,0.08377839,0.087150365,0.08971808,0.09499639,0.10777179,0.12959652,0.15645087,0.1804048,0.1937297,0.1923536,0.17703469,0.1525665,0.12588511,0.10316428,0.08733552,0.07734993,0.07033071,0.06471,0.061981153,0.06563427,0.077766605,0.09643498,0.11541724,0.12810336,0.13186641,0.12987112,0.12734848,0.12627065,0.12338964,0.11428573,0.09871044,0.08195032,0.070343345,0.06667077,0.06911427,0.07515245,0.08465903,0.099704,0.12093059,0.14512157,0.1666975,0.18100125,0.18687104,0.18572612,0.1801573,0.1723678,0.16397528,0.15580088,0.14774935,0.13887596,0.12747039,0.11230853,0.09374803,0.0747848,0.059432548,0.050594423,0.047876526,0.04853886,0.049659014,0.050597414,0.0529952,0.05879228,0.06795269,0.077933274,0.08557039,0.089041986,0.08857494,0.085299015,0.0803389,0.07482196,0.07043782,0.06897841,0.071029186,0.07525432,0.07944691,0.08218149,0.08326816,0.082929015,0.081018575,0.07748393,0.073167436,0.07004463,0.07050316,0.0757508,0.08500787,0.095416225,0.1042113,0.110114954,0.114129275,0.11787397,0.12221738,0.12652831,0.12929241,0.12911694,0.12527727,0.11832368,0.11006441,0.10328484,0.10007918,0.10080141,0.103954636,0.107889675,0.111767344,0.115733616,0.120093375,0.12516642,0.13108887,0.1377561,0.14443713,0.1501317,0.15370585,0.15411684,0.1501289,0.14125024,0.12872583,0.11659655,0.11001438,0.11276845,0.12411388,0.13905697,0.15033132,0.15209393,0.141899,0.121621124,0.09668877,0.07396898,0.05861816,0.052056614,0.05272809,0.059134167,0.07127109,0.089638375,0.11242175,0.13549395,0.1543202,0.16654567,0.17175917,0.17060792,0.16436616,0.15588386,0.148763,0.14562231,0.14619286,0.14871137,0.15155943,0.15468204,0.15805787,0.16068411,0.15998389,0.15358393,0.14120527,0.126068,0.1138306,0.10944568,0.11402526,0.12405785,0.13418657,0.1406945,0.14326863,0.1438176,0.1444472,0.14641859,0.14989369,0.1538872,0.1563247,0.15514924,0.14992021,0.14183557,0.1323337,0.12119481,0.1072981,0.090367645,0.07255941,0.05725752,0.046881814,0.041479666,0.0396747,0.04088052,0.046614513,0.05907981,0.07858924,0.101716004,0.12342993,0.13997799,0.1511143,0.15848215,0.16387911,0.16814397,0.17178804,0.17489369,0.17659652,0.17502415,0.16882072,0.15892112,0.14865614,0.14177383,0.14011203,0.14302097,0.14850016,0.1545613,0.1594861,0.16177635,0.16044748,0.15590481,0.14979672,0.14406139,0.13975982,0.13672747,0.13418037,0.13121744,0.1275898,0.12378297,0.120545566,0.11845074,0.11742511,0.118611775,0.123784415,0.13497628,0.15066145,0.16653281,0.1765648,0.17703874,0.16721891,0.1502692,0.13185738,0.11836066,0.11308081,0.11452385,0.117305525,0.116121,0.10878148,0.09704662,0.0846602,0.07464651,0.0678376,0.06375812,0.06270204,0.06683749,0.07827481,0.09654695,0.1167422,0.13196684,0.13612872,0.1277045,0.109479465,0.08807964,0.070396714,0.062014956,0.06448118,0.07586666,0.090931244,0.10442511,0.11302114,0.117065825,0.11902963,0.1214808,0.12541845,0.13030873,0.13511854,0.13903451,0.14150769,0.14186846,0.1394518,0.13480996,0.13011657,0.1282738,0.13035347,0.13503475,0.13993704,0.1439961,0.14768744,0.15171023,0.15582444,0.1591459,0.16111797,0.16197461,0.1621996,0.1619185,0.16036846,0.15644652,0.14926219,0.13906018,0.12711938,0.115294956,0.105232514,0.097944945,0.09379238,0.092126496,0.09147835,0.09002402,0.087014794,0.08308768,0.079666495,0.07743997,0.07603376,0.07446939,0.07216099,0.06905321,0.06547203,0.06165624,0.05768198,0.05339421,0.048631564,0.043506134,0.038706288,0.03536424,0.034381974,0.035655096,0.03803324,0.040050242,0.040877596,0.04039794,0.0388623,0.03648879,0.033650946,0.030850768,0.028363692,0.025836801,0.022598386,0.018429164,0.013944439,0.010120732,0.007549451,0.0062023452,0.0058031636,0.0063983225,0.008591358,0.013372247,0.021425689,0.03241597,0.04473983,0.0562491,0.06532391,0.07151558,0.075108826,0.07628742,0.074609466,0.06934024,0.060248036,0.04829667,0.03708726,0.033531133,0.047912885,0.08773341,0.15196143,0.2267363,0.29373804,0.33940217,0.36250266,0.36948445,0.36838165,0.36391628,0.3582889,0.35264027,0.34815863,0.3456407,0.34541723,0.3466257,0.34855616,0.35050365,0.3527551,0.35463133,0.35523996,0.35351184,0.3500768,0.34637797,0.3438519,0.34265184,0.34154868,0.3383607,0.33110392,0.31967452,0.30630454,0.29409865,0.28469166,0.27736637,0.2707114,0.26438782,0.25976658,0.2582252,0.25999686,0.26387724,0.26826978,0.2717054,0.27285004,0.27102283,0.26675105,0.26205486,0.25875333,0.25705472,0.2556462,0.25336066,0.25091785,0.24979325,0.2512044,0.25434864,0.2579709,0.2607198,0.26235732,0.26273063,0.26176426,0.25962785,0.2572935,0.25646207,0.2575948,0.2589381,0.256945,0.24962659,0.23875506,0.22889638,0.22381954,0.22306181,0.22234978,0.21579891,0.19990969,0.17627315,0.1527762,0.14014299,0.14482969,0.16358037,0.18461514,0.19615383,0.19399734,0.18342935,0.17357449,0.17103629,0.17663063,0.1869685,0.19757913,0.20488621,0.20671357,0.20223641,0.19249088,0.18103021,0.17313565,0.17369853,0.1839725,0.20093782,0.21862479,0.23182489,0.23824029,0.23976386,0.24026738,0.24357267,0.25029024,0.25830206,0.262154,0.25538865,0.23296244,0.19661003,0.15609659,0.12608825,0.12009096,0.14856184,0.21738847,0.3247113,0.45294973,0.5690852,0.6371291,0.6384713,0.58379656,0.50408113,0.43197957,0.38491055,0.36541304,0.36677885,0.38004053,0.3956783,0.4063777,0.4092202,0.4054233,0.3978778,0.38949814,0.38391066,0.38460383,0.39192596,0.40094563,0.40428135,0.39782608,0.38341746,0.3665463,0.3515407,0.3402228,0.33359015,0.33416542,0.34520116,0.36646393,0.39067674,0.40435567,0.39535818,0.36216617,0.3155147,0.271728,0.24108909,0.224551,0.21636689,0.21074736,0.20429395,0.1961093,0.18712492,0.17919737,0.17421715,0.17248964,0.17275663,0.17305408,0.17221357,0.1702758,0.16814779,0.16683221,0.16696274,0.16866477,0.17171825,0.17578733,0.18057077,0.18575723,0.19135398,0.1981041,0.20755075,0.21988058,0.23169823,0.23626979,0.22837444,0.20911257,0.18532182,0.16394429,0.14657603,0.1304165,0.11239335,0.09290501,0.07460048,0.059972543,0.051653128,0.05635634,0.08949566,0.16814023,0.29635254,0.44824657,0.57432985,0.6277418,0.59510326,0.50370187,0.398715,0.3159845,0.2665691,0.24500221,0.23973335,0.24184103,0.24685366,0.25537804,0.2723781,0.3004979,0.3351244,0.36290002,0.37202558,0.3608215,0.33985114,0.32268307,0.3172371,0.3230239,0.33409345,0.34267595,0.34225938,0.33011472,0.30873343,0.28304163,0.25702482,0.23165645,0.207753,0.18831736,0.17817801,0.17982362,0.19037934,0.20284514,0.21073203,0.21265073,0.21313249,0.2189312,0.23339193,0.25254428,0.2694712,0.28197157,0.30035913,0.34039095,0.4107897,0.49833643,0.572066,0.59956425,0.5691778,0.49783024,0.4187251,0.36074615,0.33268964,0.32667652,0.32911578,0.3318353,0.33358884,0.33616808,0.34033546,0.3440487,0.34479156,0.34158733,0.33632445,0.33164892,0.32922718,0.3287374,0.32947454,0.33102813,0.33351478,0.33630955,0.33854684,0.33988103,0.34197626,0.34779322,0.3600975,0.37742814,0.39323446,0.39767894,0.38590264,0.36142656,0.33452737,0.3134997,0.3007445,0.294469,0.2931918,0.2972151,0.3062509,0.31830618,0.33021924,0.33873978,0.33996892,0.32915536,0.30392256,0.26776004,0.2304551,0.2017919,0.18600284,0.17930609,0.1756434,0.17075312,0.16554272,0.16206577,0.16147761,0.16131936,0.15786676,0.14862564,0.13579215,0.12624319,0.12758715,0.14225404,0.16514437,0.18707438,0.20133097,0.20675325,0.20831287,0.21456368,0.23683214,0.28101432,0.3415165,0.39649692,0.42387652,0.41764948,0.40075192,0.40726295,0.4588801,0.5422394,0.61854213,0.64696866,0.61352104,0.53511643,0.4449735,0.36993822,0.3208148,0.29612985,0.29056966,0.2976679,0.3111621,0.32556024,0.34046444,0.35639167,0.37121758,0.375689,0.36244178,0.3321781,0.29615733,0.26493952,0.24109854,0.21807446,0.18928848,0.15519719,0.12489847,0.11113294,0.12237579,0.1579796,0.20656192,0.25274777,0.2840353,0.29731956,0.29534972,0.28102386,0.25354588,0.21294422,0.16643097,0.12815599,0.11100063,0.11726531,0.13626367,0.15170728,0.15390697,0.14934866,0.16110216,0.21148722,0.30498084,0.41453314,0.50070745,0.5323415,0.509942,0.4559355,0.39913198,0.3553112,0.32622075,0.30574656,0.28852996,0.2728102,0.2600647,0.2520909,0.25053158,0.25565225,0.2674335,0.2840836,0.30261424,0.31927088,0.3316733,0.33921644,0.34282815,0.34457493,0.3477086,0.35552177,0.36901867,0.3851228,0.39852193,0.40594247,0.40953067,0.4128903,0.4154892,0.40929142,0.38722727,0.34952608,0.30605972,0.2670046,0.23742609,0.2155069,0.19657236,0.1763917,0.15299273,0.12808965,0.10559818,0.090102054,0.08462175,0.09041325,0.106935434,0.13066263,0.15655012,0.17923643,0.19689144,0.20887788,0.21547587,0.21592261,0.21149075,0.20357776,0.19243626,0.17515613,0.15136048,0.1271613,0.116631,0.1321135,0.17648955,0.23777115,0.2977079,0.34094715,0.3637838,0.37100008,0.37023163,0.3661287,0.36060548,0.3548646,0.35034207,0.34776747,0.3472799,0.35177758,0.37120572,0.4182315,0.496851,0.58778054,0.6539309,0.6603617,0.6014896,0.50413966,0.40939298,0.34611937,0.3198928,0.31985286,0.33064184,0.34057567,0.34453073,0.3445458,0.34770298,0.35726586,0.36758164,0.36542866,0.34412012,0.31051254,0.2823392,0.27301547,0.28329635,0.30308095,0.32107434,0.3316283,0.33494672,0.33395466,0.33066726,0.32450727,0.31288296,0.2933966,0.26694295,0.2372533,0.20873062,0.18283807,0.15885513,0.13572414,0.114509575,0.0976788,0.08774119,0.08601803,0.091861606,0.102868706,0.11776695,0.14110447,0.18649371,0.26677784,0.38110003,0.5032825,0.5954574,0.62790614,0.5991141,0.5311751,0.45542276,0.39531597,0.36012554,0.34662697,0.34464708,0.34445944,0.34153065,0.33817744,0.33909735,0.34667364,0.35864875,0.37044013,0.378342,0.38078618,0.37821218,0.3719703,0.3641856,0.35693142,0.35131952,0.34688488,0.34254885,0.3386061,0.33822083,0.34578142,0.36355975,0.3861803,0.40142432,0.39530313,0.36383912,0.3158975,0.26874948,0.23549382,0.21977888,0.21743523,0.22270404,0.23153596,0.24082439,0.24776363,0.24985999,0.24706566,0.24126486,0.23509656,0.22953296,0.2245485,0.22024596,0.2179997,0.21878414,0.22193469,0.22509658,0.22682554,0.22778927,0.23050539,0.23614043,0.243358,0.24859786,0.24972047,0.24730454,0.24397777,0.24083145,0.23658805,0.22905594,0.21811666,0.20574278,0.19445665,0.1855223,0.17915,0.17527469,0.17383438,0.174478,0.17674726,0.18305121,0.20109193,0.24458916,0.3222082,0.428241,0.5331449,0.6009662,0.6057674,0.554086,0.472906,0.39586642,0.34026268,0.30997196,0.29908803,0.30159763,0.3104565,0.32085153,0.33143404,0.34442946,0.3591703,0.368027,0.36080667,0.3347522,0.29912463,0.26841846,0.25149104,0.24628778,0.24402125,0.23676188,0.22301066,0.20720951,0.19606768,0.19347018,0.19953787,0.21152629,0.22694552,0.2428879,0.2553779,0.25923485,0.25209376,0.23778187,0.22400616,0.21610324,0.21122535,0.20203237,0.18311656,0.15708522,0.13233674,0.12059597,0.13472031,0.18757959,0.2833844,0.40853938,0.5288791,0.6069011,0.62127393,0.5804246,0.51164347,0.44514957,0.39765355,0.3714193,0.3588914,0.3523002,0.34793496,0.3466016,0.34889698,0.35351053,0.35797557,0.3623043,0.36798748,0.37538084,0.381506,0.3828838,0.37907636,0.3729618,0.36737797,0.3622805,0.3557911,0.3474127,0.33928812,0.335943,0.34202623,0.360023,0.3851944,0.40398416,0.39955828,0.3640642,0.3055084,0.24241877,0.1913042,0.15913104,0.14506952,0.14555,0.15663056,0.17332597,0.18999948,0.20215647,0.20828421,0.20938979,0.2073214,0.20312035,0.19703354,0.18939357,0.18174385,0.17647666,0.17593926,0.18106864,0.19171934,0.2070869,0.22590445,0.24471653,0.2569189,0.25551206,0.23789954,0.20971264,0.18120103,0.16293727,0.16041923,0.17454346,0.20017417,0.22906478,0.25230178,0.2657231,0.2699381,0.267583,0.25872394,0.24065745,0.2133205,0.1860701,0.1805142,0.21968703,0.31136808,0.433367,0.54026544,0.58603334,0.5515064,0.45393524,0.33421686,0.23212235,0.16757536,0.13910218,0.13399734,0.14026123,0.15205283,0.17044528,0.20057945,0.2463361,0.30262634,0.35324755,0.37864006,0.36950555,0.33272994,0.2854619,0.24448319,0.22092594,0.21980612,0.23941673,0.27094314,0.30093446,0.31795308,0.31687748,0.3002928,0.27554795,0.25116947,0.2324127,0.21942563,0.20917003,0.19935854,0.1909998,0.18712531,0.19102244,0.2044161,0.22754122,0.25701424,0.2866657,0.3097888,0.32695916,0.34872067,0.39127183,0.4632007,0.55383277,0.634094,0.6707432,0.6477561,0.5759844,0.48594335,0.4080055,0.35727397,0.332719,0.32603875,0.33072773,0.34340262,0.36134422,0.3800572,0.39438733,0.40004966,0.39524034,0.38078853,0.36129728,0.34362507,0.3340265,0.33390617,0.3397682,0.34702823,0.35364902,0.36013618,0.36624718,0.3708687,0.3751178,0.3846955,0.404883,0.43235138,0.45253146,0.44935504,0.41807392,0.3697978,0.32233992,0.2875047,0.2659181,0.25072742,0.23520394,0.21629907,0.1955878,0.17725138,0.16617186,0.1650979,0.17285927,0.1846875,0.19446434,0.19771548,0.19261618,0.18030173,0.16393073,0.14880513,0.14056319,0.14383088,0.15929693,0.1835946,0.20929003,0.22831635,0.23496984,0.22986639,0.2194091,0.21266235,0.21489221,0.22531049,0.23828559,0.2491473,0.25628585,0.26215854,0.2708262,0.28826487,0.31719765,0.35412458,0.38597974,0.40128875,0.4001222,0.40108642,0.42764163,0.48941007,0.56840986,0.62485546,0.62282676,0.55242497,0.4411502,0.3312725,0.25669083,0.22090606,0.20857407,0.20036173,0.1894796,0.17926747,0.17841123,0.1957103,0.23512547,0.290714,0.34357718,0.37314734,0.36963812,0.34139404,0.30448946,0.27179685,0.24671179,0.22739972,0.21092363,0.19636863,0.18528964,0.18133555,0.18768089,0.20388983,0.22507022,0.24439885,0.25654957,0.25941697,0.2536116,0.2423109,0.23046623,0.22352241,0.22336416,0.22635268,0.22419216,0.210083,0.18354224,0.1538107,0.13728529,0.15419024,0.2167201,0.31964472,0.43389627,0.5214443,0.5558476,0.5381252,0.4915239,0.44293597,0.4095235,0.3932685,0.38896453,0.38807082,0.38545895,0.3793323,0.3725302,0.36898455,0.37035915,0.37528703,0.37981832,0.38200298,0.3807206,0.3778486,0.37430736,0.37216017,0.37178564,0.3737212,0.3768556,0.3800521,0.3825604,0.3850263,0.3899745,0.40001476,0.41562423,0.4302566,0.43221948,0.41027275,0.36467227,0.30778408,0.2595238,0.23449667,0.2372833,0.26002166,0.29006556,0.3153981,0.33007047,0.33192667,0.32053334,0.2963922,0.26292074,0.22661369,0.19400865,0.16878211,0.15094706,0.13915168,0.13284488,0.1335094,0.14290066,0.15977983,0.1775151,0.18657272,0.18100269,0.16372712,0.14591496,0.14106281,0.15808915,0.19704248,0.24877822,0.29958987,0.33827817,0.36141646,0.3725284,0.37722954,0.3794479,0.38065496,0.38134107,0.38094625,0.37870562,0.37537575,0.37665507,0.39485836,0.4420954,0.52117926,0.61279315,0.6827674,0.6960327,0.64409536,0.54809815,0.4488754,0.37839293,0.34735477,0.34551838,0.35669628,0.3684363,0.3771182,0.38516024,0.39807546,0.4165869,0.43365657,0.43423334,0.40777513,0.35552907,0.29326856,0.23784918,0.19918096,0.17585403,0.1636411,0.15861194,0.15954594,0.1637968,0.16885419,0.17290841,0.1769433,0.18243735,0.18990745,0.1986376,0.2078659,0.21775608,0.22846645,0.239554,0.24907185,0.254625,0.25474823,0.2506098,0.24522264,0.24097322,0.23983753,0.2462611,0.27248383,0.3310021,0.42415175,0.5291036,0.60848874,0.6290242,0.58747435,0.50973165,0.432989,0.3815297,0.3580948,0.3527528,0.35535583,0.36135924,0.37009177,0.37998196,0.3892419,0.39617154,0.40224656,0.4096123,0.41967607,0.43040058,0.43869707,0.44256225,0.44311354,0.44153857,0.43727732,0.42811203,0.41393352,0.398116,0.38607445,0.38243333,0.38990974,0.406715,0.42569792,0.43470788,0.42516616,0.397077,0.358744,0.31816962,0.27758417,0.23599045,0.19441752,0.1592352,0.13718201,0.13015091,0.13277413,0.13676785,0.13697053,0.13321479,0.12861086,0.12596662,0.1275708,0.13487372,0.14771987,0.16290464,0.17489147,0.17964415,0.17718984,0.1719885,0.16860676,0.16870154,0.16954476,0.16742605,0.1614392,0.15578763,0.15827142,0.17470519,0.20535414,0.24340503,0.2802182,0.30841842,0.32502946,0.32999232,0.3262854,0.31798613,0.3086517,0.29871663,0.2890513,0.28560662,0.30506417,0.36234212,0.45725217,0.55956537,0.62730074,0.6290722,0.5677026,0.47025988,0.3689678,0.28312322,0.21865319,0.17552662,0.15150143,0.1428863,0.14557241,0.1598499,0.1912381,0.24216634,0.30381098,0.35655022,0.38569474,0.39118323,0.3868244,0.38468006,0.38834894,0.3933787,0.3962451,0.39647362,0.39619505,0.3959016,0.39308503,0.38218233,0.35800633,0.31992927,0.2737601,0.22905453,0.19316204,0.16766304,0.14946891,0.13516767,0.124573864,0.1204273,0.12641434,0.14341253,0.16822623,0.19428529,0.21810234,0.24476528,0.28896266,0.36255932,0.46178284,0.5597045,0.6216161,0.6246988,0.5748848,0.49933043,0.4284923,0.37882283,0.3504927,0.33599934,0.32807386,0.3227065,0.31788072,0.31297576,0.3088446,0.30646107,0.30631438,0.3074564,0.30885562,0.3093451,0.30816224,0.3055317,0.30262387,0.30142105,0.30211505,0.3035685,0.30418873,0.30503523,0.3106518,0.32688618,0.35709628,0.39618972,0.4317902,0.44908753,0.44344914,0.4220488,0.40037474,0.38833702,0.38767698,0.39229462,0.39711347,0.39955744,0.4010712,0.40334725,0.4079403,0.41460475,0.42263678,0.4305816,0.437214,0.44121838,0.44190285,0.43911496,0.43330094,0.4250581,0.41527244,0.40566596,0.39894092,0.39786544,0.403167,0.41228154,0.41985857,0.42052484,0.4117621,0.39456162,0.37178478,0.3455386,0.31735417,0.28954983,0.26669636,0.2531519,0.25023922,0.2545873,0.26101398,0.26536584,0.26654395,0.2657627,0.26804343,0.28257176,0.32256603,0.39431247,0.48920837,0.57612574,0.6197662,0.5972025,0.51947147,0.41818488,0.32976988,0.27064553,0.239902,0.22579359,0.21966982,0.21768422,0.22271442,0.24101059,0.27916571,0.33488035,0.3946148,0.43835095,0.45468906,0.44646487,0.42753467,0.40963677,0.3980372,0.39171505,0.389328,0.39002356,0.3937457,0.39936328,0.40491256,0.40825507,0.4086349,0.40711513,0.40574706,0.4058992,0.40775493,0.41049328,0.413574,0.41665685,0.4198725,0.4227092,0.42417932,0.42259514,0.41710374,0.4092187,0.40457967,0.4122077,0.4409541,0.49205437,0.5553974,0.609806,0.63588494,0.6245808,0.5851092,0.534695,0.4912088,0.46219563,0.44791424,0.443437,0.44472894,0.44881225,0.45423207,0.45981085,0.46488345,0.46937284,0.47319743,0.4758054,0.47559068,0.47132584,0.46264958,0.45028076,0.43544185,0.41973615,0.40582725,0.39573106,0.38971925,0.38582942,0.38366306,0.38638458,0.39746574,0.41324934,0.42024228,0.40311614,0.35703704,0.29214892,0.22640991,0.17342855,0.13701236,0.112845935,0.09467617,0.07812066,0.062242214,0.048485655,0.03944729,0.037718132,0.04461169,0.05862395,0.074651755,0.0860979,0.088506155,0.08196459,0.070024975,0.057213638,0.047587786,0.04485361,0.05169118,0.068055004,0.08986185,0.110928446,0.12669478,0.13675159,0.14344065,0.14831431,0.15029363,0.1469828,0.13739993,0.122867264,0.105978966,0.090904616,0.08467155,0.09872856,0.14102967,0.20752804,0.2753922,0.31789193,0.32377112,0.31358075,0.3257407,0.3874239,0.4870132,0.5772763,0.60696834,0.5554453,0.44486627,0.31923535,0.21655376,0.15051164,0.11596909,0.100684464,0.09582966,0.098389804,0.110986136,0.14086902,0.19341475,0.26504198,0.33884057,0.39440694,0.42050704,0.42206612,0.41300988,0.40495393,0.40196812,0.40260443,0.40497673,0.40837225,0.4127506,0.41793612,0.42362407,0.429863,0.43611374,0.44046125,0.4401286,0.43388322,0.42438516,0.41706273,0.41656652,0.42305127,0.43284723,0.44144943,0.44688284,0.4490788,0.44860876,0.44576612,0.4431925,0.44724748,0.4657441,0.50035524,0.54149866,0.571145,0.57537705,0.5537614,0.5198065,0.4893172,0.47136322,0.46524337,0.46617293,0.46985936,0.47423187,0.47814074,0.48020217,0.479759,0.47722423,0.47483554,0.474102,0.47533628,0.47634456,0.4754313,0.47230503,0.46927848,0.4685373,0.4702703,0.47242677,0.47284436,0.47158167,0.4703934,0.47172844,0.4769604,0.48473176,0.48977292,0.48491064,0.46784982,0.44458726,0.42548797,0.41572902,0.41112053,0.40365097,0.38854387,0.3680638,0.34619963,0.32657093,0.31003442,0.29834533,0.2924372,0.29247382,0.29604545,0.30101267,0.30622315,0.3120687,0.3178695,0.32246742,0.3237323,0.32084298,0.31293926,0.30113947,0.28754714,0.2761993,0.26982749,0.26981974,0.27631092,0.29004687,0.31088173,0.33547077,0.357675,0.372368,0.37948832,0.38282993,0.3859038,0.38886955,0.38976255,0.38764623,0.383908,0.38120565,0.38268432,0.3918308,0.41431546,0.45469865,0.5132517,0.5787136,0.6311701,0.64937586,0.6252504,0.5692836,0.5040861,0.4505978,0.4169495,0.40040568,0.3933071,0.39049312,0.39036402,0.39429697,0.40504408,0.4225364,0.44174325,0.4512901,0.44174623,0.4115205,0.37052134,0.33195946,0.30514535,0.2908602,0.28521726,0.2838166,0.28390074,0.28308848,0.27866364,0.26948953,0.2581329,0.24990736,0.24860866,0.25300005,0.25844216,0.26087365,0.26004186,0.25776923,0.2559441,0.2551732,0.25628462,0.2600478,0.26673898,0.27481377,0.28410137,0.29826844,0.32774755,0.38196865,0.461148,0.5474448,0.6128245,0.6333936,0.604214,0.5411552,0.46942785,0.41105154,0.37498832,0.35941163,0.356251,0.3576572,0.3585504,0.357385,0.3559147,0.3572754,0.36344072,0.37351808,0.38399157,0.39150962,0.39425185,0.3929646,0.3888975,0.38372752,0.37818715,0.37371084,0.37103677,0.37093046,0.37349656,0.38075247,0.3960859,0.4204708,0.44676313,0.46033087,0.44852567,0.41107985,0.36088946,0.31452152,0.281325,0.26131764,0.24964471,0.24277104,0.23961611,0.24024422,0.24364956,0.24785261,0.25101447,0.2524587,0.25286067,0.2533497,0.2548581,0.2571495,0.25901818,0.25864232,0.25513208,0.24882825,0.24172999,0.23601313,0.23367631,0.23481333,0.23830408,0.2419569,0.24497469,0.24766707,0.25133038,0.25591508,0.26032117,0.2624564,0.26096833,0.25562662,0.24791025,0.24007632,0.23391731,0.22959417,0.22617704,0.22291708,0.22242832,0.23182623,0.26454273,0.3303815,0.42716816,0.52864033,0.5983779,0.6065767,0.55365855,0.4650854,0.37595788,0.30906984,0.26951608,0.25128505,0.24608739,0.2480386,0.25378597,0.2644341,0.28590426,0.32224727,0.36752477,0.40347183,0.41313013,0.39297497,0.35572752,0.31758574,0.28786305,0.26731095,0.25372234,0.24599947,0.24305928,0.24209283,0.23894416,0.23145552,0.22197743,0.21613587,0.21843491,0.22846991,0.24091153,0.24989481,0.2531002,0.2538652,0.25775602,0.26874605,0.28551653,0.30307022,0.31542772,0.319036,0.31322417,0.299875,0.28288305,0.26791593,0.2613323,0.2674484,0.2857131,0.3105197,0.334295,0.35223937,0.36362424,0.37032998,0.37326345,0.37233332,0.36753562,0.36101505,0.3558255,0.35421982,0.3557663,0.35807475,0.35806546,0.35411012,0.3466406,0.33835647,0.33227804,0.330008,0.33040234,0.3310484,0.33003256,0.3273367,0.32377362,0.3202497,0.31678072,0.3128822,0.30764833,0.3009387,0.29386076,0.2885131,0.28589797,0.28513643,0.28380314,0.28014216,0.2733363,0.26365733,0.25182664,0.23961693,0.22910851,0.22143276,0.2157406,0.21032523,0.20463483,0.19983654,0.19762069,0.1982742,0.20072673,0.20327432,0.20498772,0.20567934,0.20592694,0.20626967,0.20706952,0.2080381,0.20902163,0.21007459,0.21204662,0.21549527,0.2205746,0.22635157,0.23199786,0.23680903,0.24112673,0.24507888,0.24907331,0.25260946,0.255313,0.25644767,0.256211,0.25533524,0.25474223,0.25453004,0.25425506,0.25366595,0.25322795,0.25342417,0.25453383,0.25637436,0.2590491,0.26259908,0.26714745,0.27224898,0.27746555,0.28212997,0.28589246,0.2880601,0.2879642,0.28504753,0.27946922,0.2721673,0.2641435,0.25604236,0.24766223,0.23845284,0.22802864,0.21631932,0.20390122,0.19121367,0.17910123,0.16817594,0.15990482,0.15584396,0.15757233,0.16482802,0.17549117,0.18607485,0.19396858,0.19838053,0.20030464,0.20116027,0.20190568,0.2027914,0.20391478,0.20557112,0.20817985,0.21147692,0.2144193,0.21575157,0.21534802,0.21429737,0.21385105,0.214374,0.21556954,0.21823306,0.2236356,0.23225968,0.2414005,0.24782032,0.24984752,0.24919868,0.2477668,0.24630095,0.24439667,0.24265736,0.2421431,0.2429247,0.24337985,0.24189238,0.23864709,0.23510413,0.23257059,0.23085673,0.22944951,0.22791763,0.22643065,0.22478735,0.22313161,0.2219234,0.22220628,0.2239144,0.22615938,0.22757609,0.22836031,0.2292908,0.2309863,0.23253489,0.232898,0.23181045,0.22995876,0.22794716,0.2260667,0.22496152,0.22572714,0.2284633,0.23166472,0.23282085,0.23122501,0.22778703,0.2245154,0.2219578,0.22022308,0.21875821,0.21760213,0.21587355,0.21300949,0.20880796,0.20524508,0.20446132,0.20773365,0.21320479,0.21778046,0.21845086,0.21502237,0.20901631,0.20265047,0.19640239,0.18959856,0.18145823,0.17246152,0.16382451,0.1561355,0.14909929,0.14209718,0.13546592,0.13000973,0.12641218,0.12434697,0.123058,0.12175983,0.120208144,0.11856968,0.117433764,0.117403276,0.11869226,0.12079921,0.12282584,0.124235995,0.12514871,0.12599735,0.12681602,0.12727217,0.1272648,0.12723452,0.12787195,0.1293994,0.1316176,0.13428761,0.13736634,0.1408703,0.1442727,0.14703476,0.14855681,0.14918794,0.14925577,0.14950913,0.14993834,0.1507971,0.15188049,0.15329991,0.15466772,0.15560812,0.15569937,0.15478666,0.15301578,0.15045434,0.14728832,0.14359854,0.1397629,0.1361763,0.13302737,0.12995295,0.12616505,0.12123103,0.11538568,0.109416045,0.10354766,0.097058915,0.08845841,0.07762301,0.06730707,0.06366009,0.07201914,0.0931694,0.12092487,0.14706554,0.16568674,0.17648673,0.18162815,0.18333621,0.1821639,0.17804271,0.17094338,0.16117547,0.14948024,0.13691922,0.12461582,0.11323231,0.10289511,0.09359294,0.08543685,0.07868422,0.073585264,0.07076887,0.07119199,0.0755696,0.08314823,0.091822766,0.099658094,0.1068618,0.11593315,0.12945181,0.14767252,0.1678283,0.18627489,0.20075594,0.21130462,0.2188462,0.22390534,0.22625314,0.22569819,0.22243178,0.21688978,0.20941208,0.20019569,0.18941486,0.17704968,0.16289161,0.14663695,0.12844364,0.10928322,0.09089345,0.075235404,0.06354527,0.055810142,0.050721496,0.046706397,0.042838767,0.03924018,0.036288638,0.03389819,0.031587113,0.029328538,0.027874982,0.02807653,0.029833166,0.032278966,0.034926,0.039141316,0.047604013,0.062360674,0.08234965,0.10341391,0.120579265,0.1308916,0.1343091,0.13255511,0.12767258,0.12143498,0.115447104,0.11106694,0.10881259,0.10790951,0.10659733,0.10340237,0.09832635,0.092908554,0.08895577,0.08715091,0.08671588,0.08634764,0.08550152,0.08484445,0.085681476,0.0887785,0.09390306,0.10020122,0.10727147,0.115618944,0.12638108,0.14005922,0.15583836,0.17149095,0.18493414,0.19507498,0.20227598,0.2071021,0.2098962,0.2107616,0.21045454,0.21063615,0.2132383,0.21930985,0.22770269,0.23540993,0.23901522,0.2373268,0.23157714,0.22409558,0.2155832,0.20530725,0.19251019,0.17844598,0.1657557,0.15687859,0.1526285,0.15228666,0.15474653,0.15951934,0.16771369,0.1812493,0.20143192,0.22623503,0.2509754,0.27010182,0.28117633,0.28477904,0.28377548,0.2806423,0.27699634,0.2734362,0.26985967,0.26615557,0.26221764,0.25839055,0.2547722,0.25096032,0.2461588,0.2396013,0.2315283,0.2227378,0.21452664,0.20763034,0.20233995,0.19838375,0.19545478,0.19346815,0.19239612,0.19194014,0.19111793,0.18898529,0.18508458,0.18000805,0.17440625,0.16880417,0.16322806,0.15806335,0.1537198,0.15038465,0.14750177,0.14435542,0.1406705,0.13677697,0.1330744,0.12960075,0.12609503,0.122332335,0.11833029,0.11419412,0.11021009,0.10680211,0.104713656,0.10431155,0.10535013,0.106943406,0.10871932,0.11128181,0.115922034,0.123014174,0.13101779,0.13626166,0.13485457,0.125283,0.11070604,0.0982269,0.09451559,0.10147166,0.114430696,0.12660472,0.13336019,0.13532884,0.13571133,0.13747548,0.14073916,0.14327036,0.1417802,0.1336761,0.11840669,0.098034084,0.076808974,0.059113484,0.04734817,0.04100729,0.038366955,0.038642135,0.042855147,0.052029688,0.06520937,0.07893299,0.08937084,0.09438881,0.09445244,0.09125224,0.08647725,0.080875866,0.074688174,0.06781449,0.060588274,0.053692535,0.048209667,0.044550095,0.042160753,0.0395602,0.036026534,0.032901082,0.034149673,0.043771595,0.062724814,0.086647324,0.10826304,0.12094291,0.121885926,0.11176305,0.093612365,0.07169665,0.050628144,0.03405882,0.023275621,0.01737219,0.014510888,0.01395313,0.01691675,0.026280053,0.043941956,0.06861804,0.095529266,0.12031991,0.142551,0.1649826,0.18913782,0.21138644,0.22639133,0.23083387,0.2273949,0.22012979,0.2127716,0.20559423,0.19867893,0.19181941,0.18591106,0.18139267,0.17801577,0.1748383,0.17081721,0.16637589,0.16239499,0.15998323,0.15838195,0.15655692,0.15330201,0.14893843,0.1441596,0.13993083,0.13658701,0.13389921,0.13135806,0.12831356,0.124904364,0.12170651,0.11982635,0.11954796,0.120312415,0.12094907,0.12053954,0.11901488,0.116565704,0.11378628,0.110767625,0.10772882,0.10442293,0.10093325,0.097335935,0.0939189,0.09082488,0.088025056,0.08556008,0.08344442,0.081791244,0.08049103,0.07945717,0.078675985,0.078325845,0.078597605,0.079418086,0.0805388,0.081579305,0.08233944,0.08265994,0.08247114,0.08164615,0.0800731,0.07814077,0.07770426,0.08292689,0.09867739,0.1264324,0.16106033,0.19240974,0.21245696,0.21993595,0.21999884,0.21784681,0.21574892,0.21327145,0.21017468,0.20702527,0.20405759,0.20089884,0.19709216,0.19309472,0.18980555,0.18751228,0.18574977,0.18371974,0.1812175,0.17855783,0.17600615,0.17349935,0.17054565,0.16679214,0.1621673,0.15687676,0.15135336,0.14597954,0.14115249,0.13707744,0.13372056,0.13101332,0.12890379,0.12754889,0.1269532,0.12665789,0.12609796,0.12478762,0.12310221,0.12147262,0.12030036,0.11936491,0.11841703,0.117380045,0.11628732,0.11507376,0.11342302,0.111145705,0.108175546,0.1042914,0.09889295,0.09149758,0.082706116,0.07443538,0.06856215,0.06568398,0.06450155,0.063665815,0.062266316,0.060552265,0.05836131,0.055606324,0.05200384,0.047949705,0.04391225,0.040232394,0.036888313,0.03374702,0.030948743,0.028804002,0.027621532,0.027321478,0.027563654,0.027992362,0.028454743,0.028957896,0.029450415,0.029833049,0.030428514,0.032718096,0.039846364,0.054811943,0.077928185,0.10441395,0.12675224,0.13872106,0.13922408,0.13154952,0.12036508,0.109107725,0.09931097,0.09146631,0.08554704,0.081320055,0.078352824,0.07617301,0.07435704,0.0725429,0.07042406,0.06786791,0.06509035,0.062481597,0.060426135,0.05888782,0.057581592,0.05608961,0.054169845,0.05184914,0.049469713,0.047654193,0.04710694,0.04819983,0.050753176,0.053973075,0.056903437,0.05880484,0.059427112,0.059053704,0.0582612,0.05770039,0.05766666,0.05806308,0.058563028,0.05900668,0.05952048,0.06034198,0.061570227,0.06306806,0.06451128,0.06555066,0.0658691,0.06527197,0.063553326,0.06059063,0.056437086,0.051563725,0.046751276,0.042755395,0.039962523,0.03826514,0.037278116,0.03655535,0.03578196,0.034767687,0.033421464,0.03175391,0.029870657,0.027932363,0.026004577,0.02405618,0.022009252,0.019907603,0.01788643,0.016113648,0.014649776,0.013442628,0.012411303,0.011555382,0.011056181,0.011197026,0.012229256,0.014158733,0.016649513,0.019150026,0.021135844,0.022413569,0.023114694,0.023545777,0.023915125,0.024274431,0.02460789,0.02493159,0.025297433,0.025673838,0.025971537,0.02609369,0.026079355,0.02604612,0.026135216,0.026403353,0.026810335,0.027228097,0.027486667,0.02746325,0.027158925,0.02666989,0.026115911,0.02549515,0.024747899,0.023806872,0.022754202,0.021752879,0.020959198,0.020400858,0.019997565,0.01963141,0.019217476,0.01871261,0.018135719,0.01754433,0.017047485,0.016730089,0.016615918,0.016617343,0.016599953,0.016484698,0.016294444,0.016117804,0.015986985,0.01587651,0.015731132,0.015548321,0.0153639885,0.0152114555,0.015097749,0.014990252,0.014855295,0.014667767,0.014432597,0.014187106,0.013947946,0.0137198595,0.013463543,0.013184571,0.012899481,0.012647162,0.012415593,0.012160778,0.011823927,0.011360831,0.010758487,0.010012399,0.009158108,0.008280973,0.0075697717,0.0072346916]