[0.29441744,0.31858668,0.35942844,0.3847704,0.37399817,0.330515,0.2719865,0.21541129,0.17128797,0.14893703,0.15778916,0.19937389,0.25890484,0.31127748,0.33629477,0.3302032,0.30237567,0.2652535,0.22733964,0.19402808,0.17070399,0.16213329,0.16789629,0.17897236,0.18177462,0.16704921,0.13690582,0.10229764,0.076044984,0.06721544,0.081377506,0.119264506,0.17456992,0.23226146,0.27572188,0.2940772,0.28644714,0.25785396,0.21644956,0.17159307,0.1329553,0.10641538,0.09125644,0.08195578,0.0741569,0.06943848,0.073405124,0.08889648,0.11015741,0.12502529,0.12339788,0.10463697,0.07715035,0.051896412,0.036950644,0.037074316,0.055766214,0.09394848,0.1467889,0.20185737,0.24463987,0.2643737,0.25852603,0.23070025,0.18909116,0.1440532,0.10612271,0.082184225,0.07314455,0.07596412,0.08853054,0.11263466,0.14993985,0.19593978,0.2380265,0.26321432,0.26588878,0.2508263,0.22729234,0.2033409,0.18262987,0.16507564,0.14942884,0.13462986,0.1221628,0.11479238,0.1169538,0.13053544,0.15420406,0.18191828,0.20927358,0.23609912,0.2658449,0.2971777,0.32123294,0.32681534,0.30958518,0.2745011,0.23053086,0.18596058,0.14844552,0.1267662,0.12706631,0.14769192,0.17816778,0.20714502,0.22788246,0.23818173,0.2341801,0.21269166,0.1776099,0.14538084,0.13538736,0.15695055,0.20067823,0.24645312,0.27591324,0.28253466,0.27061936,0.25002682,0.2308885,0.22153062,0.22696353,0.24624212,0.27131835,0.28963423,0.29227665,0.27904668,0.25841576,0.23880471,0.22386341,0.2118728,0.20204599,0.1953696,0.19283022,0.1911577,0.18671411,0.17934673,0.1753789,0.18029702,0.19490163,0.21264243,0.2256911,0.22635835,0.21101905,0.18039973,0.14239971,0.10773885,0.08388502,0.07032409,0.06239051,0.059497427,0.06831709,0.09703803,0.14457065,0.19652104,0.23215127,0.23855163,0.21852624,0.18771656,0.16188306,0.14896269,0.14748384,0.152879,0.16090798,0.1691945,0.17645954,0.1830972,0.19131775,0.20297341,0.21757446,0.23218153,0.24689804,0.26579508,0.29398045,0.3276563,0.3548449,0.36187732,0.34440923,0.3074942,0.2607883,0.21325539,0.17280102,0.14724028,0.14265357,0.15968524,0.19065917,0.22219704,0.24294107,0.2507588,0.25191915,0.25199184,0.24782829,0.2296918,0.19236046,0.1424659,0.09497806,0.062633835,0.05077198,0.059847713,0.08801091,0.12934272,0.16908903,0.18989404,0.18096896,0.1482939,0.10737672,0.07418152,0.056228463,0.05678038,0.07750035,0.116271995,0.16173401,0.19459058,0.2001722,0.17804272,0.1423205,0.11027643,0.094147146,0.099776804,0.12730826,0.17104143,0.21679886,0.24913597,0.25793657,0.24532974,0.22039406,0.19432229,0.17514949,0.16845429,0.17715363,0.19980709,0.22865133,0.25036037,0.25345114,0.23389305,0.19792491,0.15724738,0.12533136,0.11317975,0.12420372,0.1500306,0.17281926,0.17898552,0.17138393,0.1670293,0.18093467,0.21068265,0.24082518,0.25690746,0.25864613,0.25590432,0.26026908,0.27750024,0.30796698,0.34521064,0.3770328,0.3897846,0.3794873,0.3549521,0.3294656,0.30853537,0.28765154,0.26243725,0.23542626,0.21470714,0.20432131,0.2006904,0.1952917,0.18220977,0.16194879,0.14050959,0.12470171,0.11877001,0.12389263,0.13988121,0.16479935,0.19286549,0.21401204,0.21895795,0.20550726,0.1799647,0.1519875,0.12892535,0.11372056,0.10640257,0.10449482,0.10455448,0.10339569,0.102274336,0.10575202,0.11840719,0.1384008,0.1580023,0.16871631,0.16834284,0.16108601,0.15254997,0.1441548,0.13436861,0.12242592,0.11032962,0.099756025,0.09049571,0.082952105,0.081562795,0.09266981,0.118262835,0.15178591,0.18235596,0.20172013,0.20974194,0.2112575,0.21139282,0.21046506,0.20624442,0.1968298,0.18474908,0.1750326,0.1724962,0.17780827,0.18701895,0.19337827,0.19158326,0.1824039,0.17389882,0.1756832,0.18938072,0.2037585,0.2037173,0.18436567,0.15830158,0.14414825,0.15205531,0.17608492,0.20461552,0.22981937,0.25200215,0.27158287,0.28516588,0.28641352,0.27293167,0.24846552,0.22029136,0.19500406,0.177022,0.17007272,0.1756228,0.19109331,0.20756252,0.21551156,0.20918567,0.19021052,0.16316949,0.1335645,0.10597831,0.084748924,0.07183013,0.06568089,0.062199082,0.059661847,0.062198807,0.080263406,0.12173896,0.1841857,0.25002396,0.29773858,0.31276372,0.29617777,0.25861105,0.21577816,0.18404852,0.18217175,0.22233583,0.30278146,0.3997974,0.48207483,0.52379394,0.51922214,0.47620937,0.41098976,0.34075066,0.283063,0.2499478,0.2410069,0.24167912,0.23377813,0.2093932,0.17568791,0.14600442,0.13064706,0.13596863,0.16899925,0.23315537,0.31870094,0.39730576,0.4366863,0.41954425,0.35608265,0.27445355,0.20400208,0.16177388,0.15052117,0.16420196,0.19211768,0.22330181,0.24934252,0.2691896,0.28746268,0.30850828,0.3282775,0.33622804,0.32259867,0.2869397,0.23834063,0.19300814,0.17073514,0.18928903,0.2533001,0.34600636,0.43354082,0.4853358,0.49030653,0.46036986,0.4161164,0.37515095,0.34568754,0.3295928,0.32430387,0.32459846,0.32288733,0.31170836,0.28755406,0.2520349,0.21124141,0.1718322,0.14287174,0.13558842,0.16103111,0.21885812,0.29107273,0.34736034,0.3645393,0.34124932,0.29834664,0.2602441,0.24007672,0.23424678,0.23282035,0.22708453,0.2138315,0.19410087,0.17265557,0.15563212,0.14553224,0.13930394,0.1320047,0.12532403,0.12836784,0.14991051,0.18682091,0.22321773,0.24103819,0.23375179,0.20868953,0.17852412,0.15049057,0.12581371,0.10454329,0.08857026,0.07898539,0.07408791,0.07366698,0.08256927,0.107905306,0.14984049,0.19594426,0.22804183,0.2336271,0.21513672,0.18490548,0.1568159,0.1380822,0.13129586,0.13662446,0.15390635,0.17913996,0.20560275,0.2264908,0.23902808,0.24215813,0.23350972,0.21117228,0.1799408,0.1547743,0.15268612,0.18233852,0.23780344,0.30636632,0.3759439,0.43905726,0.4867507,0.5081865,0.49544016,0.45209745,0.39301625,0.33680344,0.2966423,0.276031,0.2696003,0.2670664,0.25886253,0.24114174,0.21738505,0.19501804,0.17942244,0.16999821,0.16111837,0.14754497,0.12830533,0.107229464,0.088818036,0.075533025,0.06685603,0.061308865,0.057817634,0.05611139,0.056109693,0.057313487,0.05885535,0.059671596,0.059372652,0.05985506,0.06729687,0.09121147,0.13795926,0.2025017,0.26728305,0.31294098,0.33298686,0.3361044,0.33611965,0.33716837,0.33452904,0.3208188,0.29479268,0.25831324,0.21574211,0.17403086,0.14510565,0.14077975,0.16475604,0.20827217,0.25549132,0.29295182,0.31639537,0.32975528,0.34000573,0.3511437,0.36162233,0.36525545,0.35590413,0.33185652,0.29733965,0.25943136,0.22393198,0.19348995,0.16863917,0.15062058,0.14245905,0.14835042,0.16963433,0.20227931,0.23713069,0.26592645,0.28591356,0.3001183,0.31186715,0.32196268,0.33134505,0.34477532,0.3676251,0.3961625,0.41566303,0.4102486,0.37822595,0.33215526,0.28716454,0.24913083,0.21721673,0.1928712,0.18178427,0.1879978,0.20695885,0.22843605,0.24312158,0.24790762,0.24467851,0.2369445,0.22809726,0.22123115,0.21897824,0.22189088,0.227702,0.23260862,0.2341603,0.23301232,0.23214817,0.23426925,0.23922534,0.2442946,0.24591596,0.24330068,0.23793344,0.23278362,0.22873819,0.2258429,0.22322105,0.22091667,0.21814658,0.21393184,0.20674694,0.19580062,0.18088491,0.1632407,0.14551717,0.13080454,0.12028318,0.11271607,0.106723726,0.104475945,0.111951254,0.13396084,0.16777526,0.20155816,0.22184253,0.22332984,0.21284471,0.20238481,0.19868547,0.19899963,0.1969632,0.19023983,0.18302663,0.17992355,0.18239146,0.18806727,0.19577737,0.205375,0.21667802,0.22650908,0.23008011,0.22272502,0.20243381,0.17122011,0.1355981,0.105087064,0.08685186,0.08251973,0.08932156,0.10891875,0.15149754,0.22718586,0.33074102,0.43375012,0.5017974,0.5154209,0.48321798,0.42820445,0.3714966,0.3220415,0.28168774,0.2513444,0.23272152,0.22547126,0.22642465,0.2318118,0.24052578,0.25320688,0.2696221,0.28553542,0.29433572,0.29054883,0.27349743,0.24709763,0.21719868,0.18924409,0.16695099,0.15195654,0.14269465,0.13605987,0.13068695,0.13046724,0.1408059,0.16244386,0.1865782,0.20095235,0.19768797,0.17911138,0.15345173,0.12913181,0.1102699,0.097291924,0.08881388,0.08326313,0.07948282,0.07666389,0.07426148,0.07189903,0.06939274,0.06678694,0.06422422,0.061853796,0.059704766,0.05777355,0.056060296,0.05461688,0.05343106,0.05230462,0.05074733,0.048056897,0.043695107,0.037742555,0.031048695,0.02481866,0.020796968,0.022032732,0.033768613,0.060614258,0.10246917,0.15118621,0.1941601,0.2200724,0.22376747,0.20654786,0.17460038,0.13811469,0.10845238,0.09394338,0.09422473,0.10145292,0.11013197,0.12880886,0.1794344,0.27655086,0.40600666,0.5246694,0.59015566,0.5903699,0.54781085,0.49688843,0.45959958,0.44030604,0.43333146,0.43303823,0.4355131,0.43855348,0.44089064,0.4427605,0.4444184,0.44493043,0.44084942,0.4287384,0.40588045,0.3728993,0.33283392,0.29211584,0.25835943,0.2374533,0.23002279,0.23036487,0.23022276,0.22367829,0.21192557,0.20147936,0.19945867,0.20842387,0.22955112,0.2684444,0.33376822,0.42501163,0.52069503,0.5877128,0.6025514,0.57004416,0.5143402,0.46254078,0.42968717,0.4238554,0.44760254,0.49688792,0.5538826,0.5945967,0.6058949,0.5975272,0.5926452,0.6034786,0.6193304,0.617773,0.58922225,0.5435398,0.50016326,0.46839884,0.44687688,0.42510137,0.394379,0.34680197,0.2838381,0.21485712,0.15626457,0.1185644,0.1016877,0.097036995,0.09827399,0.10727804,0.12971026,0.16653328,0.20777339,0.24018277,0.25508642,0.25526866,0.24795176,0.24164593,0.2439083,0.26857564,0.32713106,0.41914496,0.51740026,0.587357,0.6060748,0.5834809,0.54430276,0.5120979,0.49339008,0.48562372,0.48302743,0.48228744,0.48148713,0.4808223,0.48149088,0.48517957,0.49162328,0.49901724,0.50378805,0.5011237,0.48374864,0.4441328,0.3793904,0.29773128,0.21697104,0.15675752,0.12576301,0.118627906,0.12116327,0.1244146,0.13006409,0.1458719,0.17358924,0.2047595,0.22794108,0.23858784,0.24188815,0.24535473,0.25120208,0.2543747,0.24862522,0.23358612,0.21743208,0.21096122,0.21946049,0.2371177,0.25192615,0.25352857,0.24174367,0.22544499,0.21867822,0.23166423,0.26651156,0.31389728,0.35814306,0.38374892,0.38386774,0.36183318,0.32891488,0.29776645,0.2775792,0.26953542,0.26682124,0.25841576,0.23780872,0.20850675,0.18088478,0.16239971,0.15103102,0.14064188,0.13004322,0.12567188,0.13175859,0.1426675,0.14503123,0.13109273,0.10442997,0.076526694,0.05696453,0.053601563,0.07771694,0.14429396,0.2585592,0.40070435,0.5287884,0.6026324,0.61034584,0.57263106,0.524629,0.49225438,0.482363,0.4876046,0.49758092,0.50579053,0.5108159,0.5129987,0.5129552,0.5102833,0.5051766,0.49672115,0.4835153,0.46209762,0.42971507,0.38522717,0.33234927,0.27844188,0.23346977,0.20377958,0.18897422,0.18136056,0.17528993,0.1757804,0.19723296,0.24971294,0.32588136,0.40620783,0.47509384,0.53059226,0.57569265,0.6042173,0.6026096,0.5652254,0.50716704,0.45623812,0.43349624,0.44192126,0.47205225,0.51453495,0.5623207,0.6054096,0.63046306,0.63257796,0.6231446,0.6218508,0.6363246,0.65568703,0.66168034,0.6475532,0.6197283,0.58854276,0.55700713,0.5217409,0.4768727,0.419405,0.3503188,0.27770087,0.21442993,0.17444569,0.16173884,0.16789132,0.17517169,0.17273651,0.16388075,0.1626976,0.17844474,0.20668341,0.23526193,0.25494683,0.26708913,0.27727482,0.29190138,0.3153522,0.35560358,0.41759098,0.4969958,0.57109404,0.61535925,0.6167175,0.5880935,0.5505659,0.5229735,0.50774497,0.50181854,0.4987862,0.49738416,0.49650934,0.4966586,0.4964554,0.4952825,0.49301124,0.49061668,0.48745358,0.47929135,0.45799756,0.41719866,0.3575991,0.29117444,0.23407571,0.19920933,0.18780959,0.19263498,0.2029856,0.21188541,0.2171113,0.21985124,0.22211026,0.22545052,0.23185708,0.24461305,0.26756674,0.3008398,0.33647534,0.3594239,0.35615292,0.32414553,0.27460197,0.22433239,0.18609093,0.16304617,0.15176344,0.14719677,0.14645861,0.14975981,0.15814011,0.17147322,0.18616487,0.19762088,0.20260765,0.20181827,0.19827652,0.19498561,0.19303733,0.19131468,0.18877865,0.18554628,0.18356232,0.18353802,0.18413688,0.18239212,0.17675346,0.16786306,0.15845893,0.15270899,0.15575202,0.16994248,0.19075942,0.2065009,0.20706724,0.1924028,0.17295022,0.1586286,0.15209134,0.15252553,0.16864379,0.21726584,0.308056,0.4231957,0.5235818,0.5736199,0.56800485,0.52841,0.48203242,0.4410248,0.40505573,0.37531123,0.35952485,0.36307254,0.37622988,0.38174224,0.37088594,0.352999,0.34247944,0.34116998,0.33930933,0.33050784,0.32259405,0.3274559,0.3454748,0.36542502,0.37709877,0.38231072,0.38775322,0.39406672,0.39483687,0.3875536,0.38023165,0.3827709,0.394668,0.40609488,0.41466913,0.43175325,0.4714849,0.526775,0.5724762,0.58284396,0.55513626,0.5043064,0.44809067,0.39550754,0.3511676,0.32293463,0.31871846,0.33768427,0.3665186,0.3895704,0.4007568,0.40421584,0.4039328,0.39649034,0.37727702,0.35096514,0.33112895,0.3278401,0.33678153,0.34630907,0.35083485,0.35724035,0.37268767,0.39371857,0.40855452,0.4114125,0.40825298,0.40736747,0.40708315,0.39805725,0.3780221,0.3577154,0.3513107,0.3582791,0.36619067,0.3647537,0.35938302,0.36105856,0.37197617,0.38501927,0.39983824,0.4278603,0.4788719,0.53872776,0.5791188,0.57772845,0.54238015,0.49458912,0.45348454,0.4194491,0.38981974,0.36641756,0.3583597,0.36743972,0.38651952,0.40936133,0.43967035,0.48590842,0.5413055,0.58375293,0.58924794,0.55645496,0.50382274,0.45454922,0.4183804,0.39411852,0.37961385,0.3763853,0.38354814,0.3922497,0.39185104,0.38097546,0.3694931,0.36760136,0.3740079,0.37903914,0.37753114,0.374993,0.37933493,0.3878838,0.3907222,0.38367698,0.37622142,0.3802098,0.39390326,0.40344843,0.39908287,0.38791832,0.38508925,0.3956896,0.41066507,0.41865376,0.41959587,0.42031956,0.42289457,0.42071438,0.40992597,0.3969135,0.3926988,0.39723727,0.3995576,0.39163372,0.38135052,0.3842486,0.40340948,0.4243027,0.429863,0.42049345,0.4114604,0.41403842,0.42208907,0.4219444,0.41017032,0.39767352,0.39477134,0.39890984,0.40024185,0.39603564,0.39380917,0.39955053,0.4089701,0.41658783,0.42716172,0.45466998,0.50180936,0.5516231,0.5774684,0.56722575,0.52936214,0.48234972,0.43771347,0.3987958,0.36834633,0.35307595,0.35679343,0.37170926,0.38356113,0.3850864,0.38385406,0.39122403,0.40678632,0.41761795,0.41304657,0.3968102,0.3804729,0.36878738,0.35584447,0.33756408,0.3210424,0.31859195,0.33059287,0.34389243,0.34620366,0.3411852,0.34235632,0.35377172,0.36435556,0.36160663,0.34981158,0.34610233,0.36174288,0.390116,0.41533637,0.42864907,0.43182966,0.42866132,0.41728437,0.39690086,0.37478814,0.3645093,0.37141502,0.3868849,0.3968861,0.39702144,0.39436436,0.3951703,0.39536777,0.38661364,0.3703997,0.36001432,0.3673679,0.38862312,0.4090313,0.4176626,0.41759256,0.41628632,0.41462243,0.4055824,0.38843358,0.37254056,0.3697758,0.3767872,0.38012362,0.3707944,0.35807237,0.35719,0.37071714,0.3856646,0.38865593,0.3811543,0.373639,0.37357247,0.38149104,0.40109918,0.43959978,0.49830493,0.5584498,0.5938472,0.5885831,0.55247766,0.50613004,0.4645482,0.42835724,0.39573857,0.37174988,0.3658962,0.37820625,0.3951048,0.4014096,0.396217,0.39202872,0.39780843,0.40719286,0.40777573,0.3968195,0.3856612,0.38413617,0.39088306,0.39585176,0.39481327,0.3911601,0.38888952,0.38403842,0.37143946,0.35454705,0.34621513,0.35565177,0.37810004,0.4028348,0.42660928,0.45679626,0.49566492,0.5312218,0.54561234,0.53439647,0.5088722,0.48396766,0.46214393,0.4397796,0.41674316,0.402812,0.4043872,0.41596806,0.42598522,0.4334536,0.45033887,0.48603106,0.52830476,0.55377513,0.5462586,0.5151339,0.47810122,0.44821975,0.42299142,0.4008201,0.38486,0.38344094,0.39442834,0.40781412,0.4126314,0.4097464,0.4059535,0.4044619,0.3994921,0.3856986,0.36693677,0.35371074,0.3505249,0.350629,0.34510076,0.33569768,0.33345518,0.3460772,0.36897174,0.39483842,0.42315868,0.4604546,0.5042295,0.53983325,0.5488978,0.5268511,0.48349556,0.4337888,0.38650486,0.34505633,0.31407097,0.2998279,0.3046562,0.3191768,0.33030406,0.33124903,0.3280512,0.32816327,0.33064842,0.3277899,0.31722084,0.30647442,0.30325267,0.3049442,0.30237138,0.29323936,0.28692827,0.29393193,0.31222942,0.3299643,0.33839604,0.3404537,0.34259355,0.34516302,0.34438607,0.34554967,0.36192182,0.40259662,0.45367146,0.49119115,0.49686375,0.47701967,0.44754013,0.42167652,0.39906946,0.37643,0.3547821,0.3416426,0.3420647,0.35345483,0.3671508,0.3751047,0.37343064,0.36051205,0.33747342,0.30945256,0.28816366,0.2846724,0.30192098,0.33028492,0.35622457,0.37160853,0.37740198,0.3765566,0.36883605,0.35303128,0.334717,0.32542947,0.33310008,0.35188723,0.3673624,0.37065718,0.36664295,0.366732,0.3742113,0.38270578,0.38328812,0.37431893,0.3579862,0.33753625,0.31808653,0.31392074,0.34003368,0.39890102,0.46755186,0.5160196,0.52698606,0.50969774,0.48368815,0.46224472,0.44584727,0.43040606,0.41627374,0.40653694,0.40137398,0.39534268,0.3842355,0.37168744,0.36634874,0.37142763,0.37919855,0.3803028,0.37481138,0.37323424,0.38210905,0.39590585,0.40228638,0.39731383,0.38880324,0.38694525,0.39224032,0.39784956,0.3990899,0.39892605,0.40077773,0.40128425,0.3940271,0.3795161,0.36779514,0.36698738,0.37285015,0.3736414,0.36565265,0.35886368,0.3647412,0.37977502,0.38918257,0.3838911,0.3721192,0.36825594,0.3745989,0.38040736,0.37651572,0.3681754,0.36612487,0.3710134,0.37179747,0.3607463,0.34519538,0.3400184,0.35043064,0.36841524,0.3830092,0.39269105,0.40099204,0.40720358,0.40433013,0.39002657,0.37382784,0.37028357,0.38348535,0.4025724,0.41336846,0.4127669,0.40857103,0.40639487,0.4023912,0.3907757,0.37577704,0.36999872,0.38141796,0.40516913,0.43244553,0.46061733,0.4931407,0.5260925,0.54652756,0.5427728,0.51895374,0.49041942,0.46895385,0.45192647,0.43029955,0.40293467,0.37990704,0.37103137,0.37240198,0.37099043,0.35966334,0.34642187,0.3441712,0.35405532,0.3653194,0.36872014,0.36847964,0.37325385,0.38189432,0.382529,0.36840293,0.34922698,0.34168985,0.3504242,0.36322293,0.36717024,0.36367476,0.3650532,0.37549844,0.3858582,0.38549736,0.37766424,0.37521982,0.38357094,0.39439002,0.39658442,0.39071605,0.38677725,0.3900281,0.3951216,0.3939104,0.38782278,0.38506928,0.3894838,0.39374855,0.3891565,0.37786222,0.3724468,0.38170853,0.4001043,0.41510686,0.42081073,0.4230672,0.42834857,0.4351757,0.43651542,0.43052435,0.4231386,0.4204938,0.42154428,0.42069098,0.41686484,0.41477826,0.41760013,0.41896173,0.40956783,0.38939735,0.37116584,0.3676716,0.37655917,0.3839074,0.37941,0.36837038,0.36280718,0.36599383,0.36733985,0.35256895,0.31772915,0.27223215,0.23098616,0.20417504,0.19146168,0.18522376,0.17531438,0.15655798,0.13133806,0.11061966,0.10729065,0.12739705,0.16396616,0.20051284,0.22230415,0.2236551,0.20819862,0.18277456,0.1564342,0.14074537,0.14738958,0.17960513,0.22650452,0.26869288,0.29070747,0.2903057,0.27655026,0.26188445,0.25510478,0.25920144,0.27251804,0.2910068,0.30971822,0.3243016,0.33142412,0.33115736,0.32643366,0.3215638,0.31673697,0.30734256,0.28728268,0.25444853,0.2129011,0.16972268,0.13305745,0.108215064,0.096046865,0.091644734,0.08918172,0.089079894,0.09856189,0.12482343,0.16461565,0.20497185,0.2317813,0.24105988,0.2395131,0.2373786,0.23914592,0.24191882,0.24141145,0.23727804,0.23450364,0.23673634,0.24539281,0.2586173,0.27584743,0.29473767,0.31131172,0.31994012,0.31766093,0.30480406,0.28242424,0.25100803,0.21204741,0.17244895,0.14154755,0.12569214,0.12143925,0.12116023,0.12000684,0.123483986,0.14015168,0.17441,0.21870358,0.25958493,0.2832409,0.28272733,0.25740108,0.21420689,0.16531226,0.12530522,0.10360262,0.10099867,0.11116447,0.1281933,0.1514809,0.183608,0.22403781,0.26408246,0.2915189,0.2971873,0.28124043,0.25053924,0.21471472,0.18178338,0.15693475,0.14151551,0.1325265,0.12497833,0.11666378,0.11251468,0.12061825,0.14452527,0.1760906,0.20071952,0.20579427,0.189184,0.15745449,0.12308723,0.10067388,0.10709097,0.15380049,0.23964946,0.34124377,0.42452958,0.45870534,0.4378792,0.37765062,0.30627176,0.24374433,0.19756775,0.16388714,0.13811149,0.11789053,0.1035021,0.094575554,0.0901258,0.08875147,0.089268744,0.090263285,0.090415806,0.088967584,0.08621795,0.083559535,0.0838491,0.0918097,0.112810485,0.14915784,0.19637214,0.24354064,0.27878675,0.29442897,0.2887333,0.2638406,0.22625114,0.18729405,0.16154186,0.15784092,0.17270786,0.19374533,0.2143855,0.24561124,0.3050559,0.3971045,0.49580786,0.5655393,0.58267426,0.55751735,0.5147634,0.47978,0.45914006,0.45081928,0.44685432,0.44400445,0.44012427,0.43600044,0.43198895,0.4278809,0.4200659,0.40217173,0.36961603,0.3255138,0.27927107,0.23892869,0.20363553,0.16907413,0.13518171,0.10976102,0.09801099,0.09668455,0.09641829,0.09411135,0.095553994,0.10889841,0.13475214,0.16863243,0.21124099,0.27217808,0.35864723,0.45908937,0.5440679,0.5851157,0.5754011,0.53155273,0.47905388,0.43879452,0.42264172,0.4370633,0.4797151,0.53661126,0.5838668,0.6037883,0.599222,0.5889656,0.5899368,0.5980556,0.5983393,0.57797796,0.54233766,0.502703,0.47010538,0.44475687,0.4235432,0.3982618,0.36182144,0.30855536,0.24316305,0.17887075,0.13140033,0.10653641,0.09825412,0.096104026,0.09654052,0.10382837,0.12266014,0.1494652,0.1749994,0.19179223,0.20000182,0.20333022,0.20487653,0.207911,0.2237091,0.26891223,0.35242203,0.4584342,0.55204487,0.60234976,0.6034177,0.57410985,0.5376815,0.5098111,0.49292207,0.48583007,0.48450527,0.4866763,0.48934498,0.4914103,0.49283388,0.49519968,0.49928126,0.5035288,0.50270754,0.48919246,0.4556347,0.39924693,0.32571587,0.24921499,0.18794553,0.15492575,0.15170395,0.16719264,0.18533678,0.1949958,0.19528444,0.19281466,0.19278401,0.1957991,0.19943486,0.20385687,0.21045136,0.21782298,0.22046645,0.21364255,0.19970834,0.18656234,0.18179806,0.18681449,0.19843698,0.21257102,0.2268365,0.24012752,0.25186545,0.26238728,0.27205524,0.2803366,0.28499678,0.28434184,0.27892116,0.2711387,0.2625049,0.25280273,0.24231964,0.23438191,0.23324454,0.2386929,0.24314958,0.23695768,0.21761213,0.19303827,0.1740702,0.16416717,0.15853299,0.15310526,0.15087442,0.15606332,0.16488744,0.16499144,0.1478144,0.11628789,0.08276452,0.05763167,0.048002526,0.062175374,0.11584336,0.21887119,0.36176333,0.50706226,0.6139114,0.6595378,0.65380555,0.6207351,0.5828393,0.550549,0.52712923,0.512798,0.50594807,0.5036612,0.50208384,0.49912024,0.4946706,0.4901806,0.48593083,0.47881427,0.46310103,0.43220332,0.3835318,0.31919006,0.24851531,0.1840936,0.13851294,0.11547461,0.10886703,0.10672691,0.10309556,0.10124421,0.109078385,0.12966268,0.16169633,0.20673598,0.27245638,0.3627865,0.4662288,0.55718595,0.61358476,0.6304049,0.61882573,0.59290904,0.56369907,0.54057145,0.53509504,0.5536945,0.59147865,0.63086516,0.6562424,0.66365665,0.6613192,0.65646607,0.64677495,0.62505627,0.5889711,0.54768723,0.5151617,0.5008412,0.5012503,0.5005942,0.4792805,0.42578542,0.3449273,0.255134,0.17852862,0.12858225,0.10512952,0.09722599,0.09352261,0.090681486,0.09400434,0.10919056,0.13440345,0.16081846,0.1803831,0.1915297,0.1976217,0.20285857,0.21263267,0.23742394,0.28911516,0.36933768,0.4599228,0.5311281,0.5632284,0.55895525,0.5394871,0.5238211,0.52112263,0.52833945,0.54116625,0.5551129,0.56889576,0.5814771,0.59263426,0.6011257,0.6051378,0.6032126,0.5957827,0.58445454,0.57050675,0.5545394,0.5380536,0.5245902,0.51728696,0.5164914,0.5188691,0.5209847,0.52181834,0.5229886,0.5261481,0.5312481,0.5370924,0.5431327,0.54970497,0.5573025,0.56547076,0.5738981,0.58169574,0.58482194,0.5726419,0.5321766,0.45782435,0.3605682,0.26298583,0.18661143,0.13936983,0.11668501,0.10903138,0.110001095,0.117016226,0.12850028,0.14087258,0.14937669,0.15073712,0.14572103,0.1381555,0.1322028,0.12963666,0.12982403,0.1318296,0.13639641,0.14529663,0.15880686,0.17368285,0.18544847,0.19122492,0.19181722,0.18927298,0.18548183,0.18127815,0.17748077,0.17386149,0.16913067,0.16154313,0.1521182,0.14378148,0.13921447,0.1365406,0.13293976,0.12936185,0.13527386,0.16095532,0.20858979,0.26586807,0.31507352,0.3433514,0.35038486,0.34315076,0.33050358,0.3175691,0.30683815,0.2980427,0.29034856,0.2820742,0.272182,0.26006868,0.24628025,0.23176156,0.2175502,0.20471998,0.19520944,0.1919489,0.1967615,0.20810616,0.22056812,0.22847992,0.22856571,0.22116184,0.20795976,0.1919043,0.17649567,0.16525002,0.158821,0.15415893,0.14725871,0.13725543,0.12888743,0.12804738,0.13727802,0.15195979,0.1648003,0.16978031,0.1657779,0.15485026,0.14087822,0.12852044,0.12253684,0.12625808,0.13955833,0.15866466,0.17804427,0.19309461,0.20124777,0.20141847,0.19304527,0.17720969,0.15753889,0.14005722,0.12958348,0.1271495,0.1301652,0.13653137,0.147438,0.16580915,0.19136094,0.21795404,0.23632713,0.23978989,0.2277389,0.20505065,0.17848885,0.15404446,0.13518135,0.12359036,0.11861152,0.1186141,0.12104893,0.12569664,0.13355084,0.1465482,0.16431808,0.18722166,0.21721642,0.25683442,0.30255985,0.3425046,0.3628032,0.3571507,0.33162972,0.29902855,0.27159166,0.25622323,0.25518557,0.26633808,0.2837592,0.29849052,0.30285168,0.2932723,0.27153814,0.24198107,0.21013874,0.18159212,0.16220254,0.15585917,0.16316925,0.18025964,0.20134144,0.22034639,0.23335963,0.23852505,0.23670699,0.23059642,0.2235352,0.21772338,0.21308,0.2077278,0.19890559,0.18567644,0.17000015,0.15660836,0.14886864,0.14644597,0.14617239,0.146001,0.14647734,0.1479677,0.14866336,0.14671052,0.14461656,0.14915054,0.16503681,0.18927282,0.21116878,0.21942478,0.20858526,0.1821708,0.1498594,0.12225842,0.105262734,0.0975715,0.09381061,0.08944852,0.08600525,0.08922764,0.10488192,0.13172208,0.16096626,0.18086942,0.18569261,0.17927194,0.17152031,0.16982986,0.17530537,0.18402864,0.19236074,0.19857325,0.20317121,0.2071737,0.21179943,0.21736075,0.22277528,0.22653067,0.22922014,0.23665719,0.2565541,0.29246578,0.3364384,0.37362707,0.3910435,0.38625443,0.3645576,0.33267522,0.2957346,0.25957048,0.23299284,0.22357166,0.23223813,0.25102746,0.2685791,0.27712512,0.27624527,0.26979697,0.26066434,0.24773853,0.22848038,0.20283185,0.1749949,0.15108283,0.13615572,0.13354503,0.14410466,0.16628766,0.19436575,0.22170417,0.24294145,0.25693646,0.2641841,0.2653036,0.26026973,0.2502348,0.23857196,0.22974075,0.22659318,0.2277071,0.22751363,0.21966796,0.20143932,0.17660181,0.15402555,0.14369762,0.15051623,0.17084867,0.19359697,0.20741445,0.20726347,0.19620858,0.18051279,0.16545552,0.15362465,0.14762239,0.14982457,0.1617331,0.18065323,0.20122714,0.217201,0.22445743,0.22053885,0.20490174,0.18051767,0.15521418,0.13807921,0.13268249,0.13389431,0.13442965,0.13365124,0.13953681,0.1596085,0.19167495,0.22379017,0.2437181,0.24762273,0.2409395,0.23251754,0.22983529,0.23883523,0.2645909,0.30893496,0.36440405,0.4148461,0.44280145,0.44085684,0.41419074,0.37494794,0.33430195,0.29945064,0.27500057,0.26302174,0.26110044,0.26193428,0.25720105,0.24365133,0.22432639,0.20523459,0.1902356,0.18049724,0.17693473,0.18156429,0.19549567,0.21559198,0.23478411,0.24561952,0.24364437,0.22861576,0.20338236,0.17414044,0.14837916,0.13173084,0.12376756,0.11921379,0.113493025,0.10745058,0.10616144,0.11314365,0.12677749,0.14159824,0.15343137,0.16184735,0.16916847,0.17558734,0.17811401,0.17256878,0.1583871,0.1387472,0.11826844,0.10084516,0.09078997,0.09322705,0.111163735,0.14125003,0.17373215,0.19792879,0.20854624,0.20747864,0.1999933,0.18975152,0.1777298,0.16430809,0.15263492,0.14677341,0.15025933,0.1624225,0.1806647,0.19932437,0.21283694,0.2161609,0.21066903,0.20422612,0.20715709,0.22108604,0.2355728,0.23549487,0.21655464,0.18931986,0.17167836,0.17597531,0.20779498,0.2693076,0.35717058,0.45635548,0.5388989,0.5812216,0.57684916,0.54004705,0.48890242,0.4357591,0.38493988,0.3425794,0.31703797,0.3139441,0.32634985,0.33993873,0.34384403,0.340794,0.3397368,0.34395325,0.3459758,0.336326,0.3114176,0.27503845,0.23166125,0.18806629,0.15308534,0.13960925,0.15313466,0.18836552,0.22803767,0.25563744,0.26173806,0.24773674,0.22233753,0.20026256,0.20129372,0.2419752,0.323933,0.42470583,0.5091939,0.55058247,0.54604125,0.5118353,0.46656477,0.42077565,0.37815592,0.34380767,0.3247498,0.32467827,0.33777964,0.35305372,0.3617111,0.36175206,0.35319093,0.3352861,0.30925062,0.28445008,0.27469954,0.28789845,0.3165685,0.3437483,0.35385767,0.34186864,0.31077102,0.26782486,0.22174762,0.18250106,0.15826839,0.1520142,0.15955935,0.17305481,0.18670756,0.20178188,0.22469027,0.258513,0.2956214,0.31924364,0.31518126,0.28145656,0.2317431,0.18908674,0.18038714,0.22260053,0.31267044,0.42084458,0.50825113,0.5500364,0.549407,0.527171,0.50015575,0.4729255,0.44299138,0.41480872,0.3978366,0.39889887,0.41302285,0.43202436,0.45388794,0.4841605,0.5229914,0.5574608,0.5702934,0.5545199,0.51967597,0.4804223,0.44495156,0.4101825,0.37080422,0.32671353,0.28627184,0.25788757,0.24477434,0.24192853,0.24185453,0.23706466,0.22357278,0.20142911,0.17603862,0.15366764,0.13703212,0.122790635,0.10880076,0.09849886,0.10118096,0.121539466,0.15484644,0.18736099,0.20632654,0.20569007,0.18776083,0.15874861,0.1258631,0.096144535,0.074671164,0.062902205,0.057414796,0.055328514,0.058012668,0.071902506,0.10082159,0.14185293,0.18571974,0.22388287,0.250463,0.2620351,0.2555177,0.23232196,0.19965677,0.16920902,0.14927982,0.14229663,0.14512123,0.15511459,0.17048006,0.18872678,0.20193581,0.20050143,0.18060286,0.15125847,0.12898774,0.12729335,0.15019159,0.19649792,0.26609346,0.35554004,0.45094493,0.5255954,0.5573999,0.5430436,0.5027681,0.4617956,0.4344671,0.41787755,0.40522084,0.39614013,0.39725614,0.40874517,0.42031753,0.4203309,0.4105364,0.40525937,0.41516483,0.43396497,0.4412162,0.41810736,0.3602517,0.27863455,0.19296338,0.120878674,0.072477855,0.04770067,0.04093915,0.045026798,0.054709148,0.06604823,0.075640924,0.08120416,0.084870525,0.09609849,0.12826063,0.1876906,0.26361492,0.3316923,0.37185454,0.38380885,0.38419366,0.38812172,0.39613473,0.39925864,0.3940853,0.38743174,0.38674226,0.38884822,0.38404468,0.36953136,0.35487568,0.35217154,0.36153722,0.37280813,0.37722012,0.3772676,0.38006505,0.38657784,0.38933173,0.37957704,0.35513464,0.31991175,0.28065854,0.24379222,0.2139743,0.1921987,0.17483439,0.15657017,0.13541073,0.11597004,0.106205136,0.1110338,0.12739085,0.14688052,0.16218702,0.1720832,0.1798231,0.19005115,0.20853485,0.24574251,0.31213394,0.40761527,0.51092476,0.5905423,0.62376446,0.61351734,0.5799747,0.5454684,0.5201253,0.50502104,0.49807623,0.5000623,0.5112839,0.5284007,0.54431814,0.5533447,0.5547123,0.5513641,0.5446176,0.5310772,0.5023821,0.4520075,0.38088104,0.30170324,0.23150368,0.18369937,0.16045979,0.15616691,0.16169919,0.16994381,0.17644395,0.17952393,0.17862606,0.17332159,0.16343515,0.15070967,0.13886608,0.13157038,0.12880021,0.12694593,0.12171602,0.11135727,0.09746504,0.08264414,0.070527166,0.063054435,0.06059553,0.05933037,0.056179535,0.05143143,0.051290467,0.061388593,0.08168895,0.104444884,0.120184146,0.124490775,0.12050035,0.11517125,0.11274895,0.11237627,0.11068944,0.10661831,0.10281017,0.10273314,0.10783536,0.11686804,0.1278889,0.13916259,0.14931865,0.15702884,0.16110097,0.16051,0.15411629,0.14126937,0.122962095,0.10347772,0.0894578,0.08689049,0.09617531,0.11175358,0.12610734,0.1365344,0.14628722,0.15960105,0.17615342,0.18995643,0.19460048,0.18643886,0.16653953,0.1389481,0.110841565,0.091054074,0.08688281,0.09954236,0.121915765,0.14248298,0.1528353,0.1530142,0.15023805,0.15117691,0.15722083,0.16394003,0.1666379,0.16271266,0.15264662,0.13842896,0.12335235,0.1108026,0.10176602,0.09447997,0.08676467,0.08135768,0.08388818,0.0976425,0.116488814,0.12924181,0.12695165,0.110014826,0.085379936,0.061813693,0.047314554,0.051060285,0.08381379,0.14989257,0.237607,0.3173243,0.3587817,0.35121012,0.3115333,0.26815754,0.24012828,0.22771095,0.22165442,0.21572351,0.21080776,0.20941378,0.2101987,0.2083307,0.2000721,0.1859616,0.1701393,0.15730274,0.14983265,0.14687614,0.14528765,0.14208229,0.136853,0.13260765,0.13383257,0.14262937,0.15653013,0.16979067,0.17797089,0.17993402,0.17718472,0.17040217,0.159959,0.14708515,0.13537225,0.12747668,0.12553842,0.13505721,0.17185111,0.25332844,0.38063025,0.52390736,0.6368871,0.6878055,0.67863303,0.6379015,0.5934518,0.56086224,0.54066354,0.5308302,0.52756405,0.5286655,0.5312934,0.5340273,0.5365785,0.53878266,0.5405402,0.54060346,0.5365928,0.5217824,0.48773614,0.428372,0.34904397,0.265105,0.1957444,0.15057836,0.12707676,0.11537624,0.11060997,0.11695039,0.14090998,0.18105002,0.22703843,0.2724737,0.32518765,0.3986183,0.4934287,0.58442354,0.6399056,0.6414869,0.60240024,0.5500336,0.5130846,0.5039119,0.5254459,0.5702105,0.6255653,0.6717586,0.69409543,0.6930806,0.68423134,0.6830091,0.6878872,0.68555427,0.6631372,0.62361103,0.57898325,0.54356164,0.5214239,0.50874144,0.49303254,0.46353436,0.4136851,0.34928143,0.2824739,0.22810549,0.19205606,0.17154557,0.15865107,0.15120287,0.1546207,0.17497383,0.20899786,0.24277799,0.263225,0.26766786,0.26488063,0.26455328,0.27216664,0.29118523,0.32968414,0.39370534,0.47736892,0.55592203,0.6045246,0.61285466,0.59484047,0.5695167,0.55090684,0.54002625,0.53482085,0.5328384,0.5340619,0.5380301,0.5441878,0.5518314,0.5605314,0.5692494,0.5757189,0.5755989,0.56199855,0.52672815,0.4646602,0.38040996,0.28988105,0.21471786,0.17031936,0.15860836,0.16917248,0.18912953,0.21170287,0.23751552,0.26739535,0.29604527,0.31250498,0.30973074,0.29064092,0.26744774,0.25073007,0.24377163,0.24294968,0.2456572,0.2525653,0.26504,0.28039947,0.29272828,0.29700133,0.29254794,0.2826571,0.2718482,0.2634481,0.25813362,0.25461164,0.25080016,0.24598546,0.24113129,0.23849972,0.23966388,0.24460876,0.25167698,0.25850606,0.26249295,0.25985298,0.24657337,0.22154279,0.19118088,0.16813797,0.16189611,0.17011756,0.17921285,0.17880452,0.17133838,0.16842903,0.1754473,0.18376213,0.17996812,0.15853962,0.12687422,0.09582206,0.07507195,0.0741637,0.10972164,0.19590981,0.3305914,0.48285708,0.6102223,0.68146396,0.69490546,0.6699262,0.63145596,0.5970645,0.57408243,0.5620108,0.55673856,0.55522686,0.55750173,0.5648481,0.57683176,0.5903429,0.601521,0.60691243,0.602354,0.58031225,0.5329004,0.4577234,0.3655219,0.27642667,0.21167938,0.1796697,0.17345001,0.17602842,0.1762412,0.17699437,0.1897918,0.21993339,0.25979117,0.30104446,0.34841385,0.41553354,0.5061284,0.5999537,0.668806,0.69512385,0.6867325,0.6617064,0.63930154,0.6293623,0.6379338,0.66242117,0.691799,0.7072282,0.69742155,0.67029524,0.64789665,0.64652437,0.6577794,0.6589839,0.6341162,0.5929487,0.5595476,0.55177623,0.5647838,0.57651395,0.56305295,0.5132316,0.43234393,0.33887205,0.25502104,0.19799256,0.17096096,0.16408698,0.16238593,0.15992151,0.16269444,0.17992115,0.21013248,0.23989786,0.25614575,0.25737384,0.25322223,0.25355044,0.26441744,0.29078794,0.3414961,0.41993722,0.51537275,0.59934276,0.6462369,0.647219,0.6184156,0.5827288,0.55817413,0.54774565,0.5464137,0.54670423,0.5454016,0.5433154,0.5427595,0.5445161,0.5473644,0.5498836,0.5515329,0.5520559,0.55067545,0.54676145,0.54185724,0.53940415,0.5422661,0.54989195,0.5587363,0.56537026,0.56849164,0.5691316,0.5687327,0.56881326,0.5706913,0.57548714,0.58329487,0.5925031,0.6008492,0.60673124,0.61047596,0.6116101,0.6052594,0.57945687,0.5229133,0.43472886,0.3326775,0.24200928,0.18213113,0.15397976,0.14726685,0.1489891,0.15206742,0.1538556,0.15440808,0.1543486,0.15452605,0.15543635,0.15710068,0.15927124,0.16145481,0.16293995,0.1628882,0.16206467,0.16272141,0.16797261,0.1778334,0.18946709,0.19799499,0.20091842,0.19839118,0.19345684,0.18984567,0.19086558,0.19689693,0.20476831,0.20895588,0.20609392,0.19650067,0.18356888,0.16949475,0.15608494,0.14612103,0.14621699,0.16202672,0.1937942,0.2326207,0.26615146,0.28498068,0.28825954,0.28105405,0.26963615,0.2577751,0.24749309,0.24151313,0.24154912,0.24616343,0.24856798,0.24246402,0.2260173,0.20463152,0.18546857,0.17364173,0.16989218,0.17295428,0.18115401,0.19283994,0.20569421,0.21704008,0.2248547,0.22852582,0.22850305,0.22562017,0.22105543,0.21589172,0.21065526,0.20394371,0.19430071,0.18265675,0.17452644,0.17572294,0.18714474,0.20221354,0.21214889,0.21180634,0.20183258,0.18575831,0.1679765,0.1541995,0.1520202,0.16683193,0.19712953,0.23210834,0.25876838,0.2687466,0.26383564,0.25100324,0.2369629,0.22349067,0.20966394,0.19571905,0.18437316,0.17852378,0.17809838,0.18106592,0.18687744,0.19699787,0.21244943,0.22960651,0.24318762,0.248982,0.24781989,0.24141781,0.23107256,0.21597295,0.19735743,0.17931207,0.16759962,0.16570383,0.17337857,0.18927918,0.21150547,0.2373914,0.26060426,0.2769246,0.28811145,0.30266777,0.3248677,0.34841168,0.36006668,0.35185084,0.3273133,0.29651728,0.26850244,0.24831557,0.23906045,0.24168666,0.25335434,0.26748785,0.27754402,0.27992857,0.27388167,0.25972876,0.23884965,0.21534137,0.19641817,0.18944299,0.19750498,0.21680336,0.23960458,0.25896165,0.27277252,0.28218916,0.28876787,0.29126227,0.28637215,0.2705824,0.24428946,0.21299566,0.18641166,0.17223907,0.1727037,0.18299319,0.1962933,0.20683144,0.21359672,0.21878497,0.22571142,0.23424558,0.24023716,0.23960252,0.23302202,0.22632354,0.22356147,0.22348137,0.22094078,0.21347629,0.2021661,0.18879084,0.17354716,0.15700883,0.1423682,0.13219608,0.12575476,0.118970625,0.11142588,0.10739804,0.11353663,0.130625,0.15347117,0.17376584,0.18800797,0.19846909,0.21097247,0.2276598,0.24545388,0.25887138,0.26519325,0.26544234,0.2609243,0.25293985,0.24316843,0.23601203,0.23423482,0.23785342,0.24420238,0.25428572,0.2718899,0.2996647,0.3314229,0.35652378,0.36757553,0.3685741,0.36876914,0.37475368,0.38449422,0.3928375,0.39630803,0.39588496,0.39324808,0.38903108,0.38250056,0.37371436,0.36401102,0.35463512,0.34518778,0.33317283,0.3166628,0.296248,0.2759364,0.26040736,0.25236225,0.25114027,0.25295174,0.25320733,0.24790792,0.23706317,0.22398667,0.21395113,0.20921624,0.20934854,0.21398586,0.2272408,0.25356698,0.29097408,0.3260397,0.3429207,0.3334678,0.30414927,0.2678364,0.23653114,0.21527089,0.20522404,0.20426452,0.20911111,0.2152658,0.22041772,0.22461523,0.22944222,0.23357414,0.23377122,0.22743654,0.21789189,0.21215843,0.2164752,0.23093438,0.24986763,0.26558018,0.2711178,0.2628552,0.24062747,0.21004297,0.18018085,0.160363,0.15286374,0.15244658,0.1510091,0.14812994,0.15286432,0.17515564,0.21353197,0.25223738,0.27359727,0.26973975,0.24820381,0.2232825,0.2091546,0.2140398,0.24187875,0.29046857,0.35104248,0.4066868,0.4411681,0.4467819,0.43028784,0.4040972,0.3781991,0.35507286,0.3348602,0.31827393,0.30624107,0.2969388,0.28665853,0.27345058,0.2591323,0.24744593,0.24081863,0.23921917,0.24183393,0.2480861,0.25724447,0.266448,0.27129257,0.26796487,0.25559208,0.23616572,0.21270533,0.18868716,0.16737477,0.15163325,0.14173585,0.13593622,0.13236608,0.1321364,0.13771726,0.14996587,0.16549025,0.17973143,0.19025546,0.19802569,0.20430094,0.2074884,0.20421056,0.1924488,0.1744628,0.15450175,0.13583754,0.12017355,0.110430844,0.112250485,0.12990308,0.16086829,0.19404602,0.2160465,0.21958424,0.20820558,0.1927166,0.18369253,0.18473732,0.19239485,0.1997012,0.20256834,0.20178719,0.20163207,0.20464516,0.20768291,0.20442005,0.19100468,0.1732095,0.16316836,0.1702167,0.19037397,0.20880121,0.21274476,0.20306796,0.19117834,0.18676384,0.1915894,0.20671032,0.24186301,0.31010598,0.41254783,0.52619666,0.616018,0.6556162,0.64386517,0.5980564,0.53845525,0.4775974,0.42259526,0.38251424,0.36563703,0.37182185,0.38708392,0.39599562,0.39526674,0.39552364,0.4058509,0.4229974,0.44124976,0.46680847,0.5162778,0.5932298,0.67454034,0.7238629,0.7208624,0.6744283,0.6098705,0.5470489,0.49376178,0.4524189,0.42689133,0.41793013,0.41674402,0.4102734,0.39436558,0.3791418,0.37837002,0.3939395,0.4180654,0.4452938,0.4807314,0.5294168,0.58259237,0.6209826,0.6286884,0.6076866,0.57047766,0.5299604,0.4906824,0.45603752,0.4318907,0.4243212,0.42954156,0.43422166,0.4278101,0.4131999,0.40341365,0.40536615,0.41545132,0.42890134,0.4512988,0.49311423,0.5520924,0.6080801,0.63469607,0.62065065,0.57402086,0.5138327,0.45489612,0.4056568,0.37093517,0.35573637,0.35944626,0.3724482,0.38013598,0.37484276,0.3594923,0.34233287,0.32824016,0.32380736,0.34136084,0.3945265,0.48072466,0.5741689,0.6428275,0.66873884,0.65953696,0.63086224,0.5955544,0.55591035,0.516731,0.48651075,0.4743005,0.47664616,0.47964117,0.47194257,0.4572642,0.44937888,0.45516858,0.46885324,0.48412982,0.5044541,0.5391359,0.5830529,0.6185654,0.6263344,0.6073849,0.57567924,0.546426,0.5212467,0.4966931,0.47354186,0.46039203,0.46064016,0.46561667,0.4622577,0.45025298,0.44336164,0.4535059,0.4759473,0.49879947,0.5190581,0.547837,0.58969253,0.632585,0.6535569,0.64342016,0.6110721,0.57342213,0.5369983,0.4999974,0.4640706,0.44031528,0.4385914,0.45182195,0.4612659,0.45487666,0.44124508,0.43801913,0.4514798,0.4737915,0.49727932,0.5266893,0.56914115,0.6178774,0.6527114,0.65728503,0.63499445,0.60198265,0.5706675,0.5401311,0.5076282,0.4791545,0.46788344,0.47553262,0.487772,0.4880645,0.47721148,0.47134474,0.48072848,0.49915037,0.5168057,0.53681797,0.57383054,0.62966037,0.6880567,0.72352237,0.7268173,0.7041657,0.6686406,0.6259208,0.57832646,0.5327243,0.5021173,0.49448085,0.5013696,0.50409126,0.49267235,0.4764332,0.47300792,0.4877684,0.513788,0.5441857,0.5828063,0.63040954,0.6736505,0.6899411,0.67010015,0.6278336,0.58672243,0.5576325,0.53404564,0.50814337,0.48603737,0.4817578,0.49645784,0.5130494,0.51424277,0.50218105,0.49423894,0.50077623,0.5165923,0.5344091,0.5575754,0.5961319,0.6466028,0.6934189,0.7185281,0.71987605,0.7042165,0.67824364,0.6407626,0.59253263,0.5455207,0.51876014,0.52089024,0.53813285,0.5471054,0.5377415,0.5217097,0.5157335,0.52273625,0.53576475,0.5501639,0.5708348,0.5961308,0.61509466,0.6121755,0.5879867,0.55598205,0.53196794,0.5159728,0.49996147,0.48031044,0.46814036,0.4744632,0.4952037,0.51188713,0.5122991,0.5035815,0.50113684,0.50702643,0.5037257,0.4710567,0.40564296,0.3248743,0.25202283,0.2021634,0.17550348,0.16364828,0.15529919,0.14354102,0.12755427,0.11370092,0.108903885,0.11557267,0.12803555,0.13878256,0.1430065,0.14130452,0.13546823,0.12716475,0.11859583,0.11445265,0.11965281,0.13444805,0.15288913,0.16653533,0.17120874,0.16868018,0.16400577,0.16048068,0.15877205,0.15817444,0.1589445,0.16161685,0.16546924,0.16730578,0.16379684,0.15419048,0.14172548,0.13033225,0.12178428,0.11441294,0.10559348,0.09391006,0.080200076,0.06748507,0.058841866,0.05556379,0.055060595,0.053809434,0.05061527,0.049345296,0.055351455,0.07081705,0.091836005,0.11115601,0.12328503,0.12786078,0.12849374,0.12882297,0.12950277,0.12906186,0.12656824,0.123443134,0.1222724,0.12480494,0.13124323,0.14048833,0.15105897,0.16088195,0.16822167,0.17148846,0.16991965,0.16263461,0.14941679,0.13106047,0.11091117,0.09420234,0.08580452,0.0869501,0.09414631,0.10286016,0.11100397,0.12105214,0.13480426,0.1514108,0.16527836,0.17149442,0.16638595,0.15003337,0.12489441,0.097379774,0.07606257,0.068294294,0.076051466,0.09446033,0.1151196,0.13030125,0.1374347,0.13869156,0.13870883,0.13968776,0.14051978,0.13804896,0.13067986,0.11905373,0.10551814,0.09265978,0.08295738,0.077293724,0.074256934,0.070679784,0.065701164,0.06213655,0.0646478,0.07386585,0.08512599,0.09100159,0.087079525,0.07396889,0.056318488,0.041338287,0.038939252,0.06351739,0.12756497,0.2326728,0.35889092,0.47286448,0.54246956,0.55575496,0.5210628,0.45931792,0.3895698,0.32345727,0.26473433,0.21428251,0.17311703,0.14291798,0.123996705,0.1141934,0.1095685,0.1062232,0.10161683,0.09482944,0.086184084,0.076769345,0.06825668,0.063250355,0.06558973,0.079375826,0.1060344,0.14122306,0.17496927,0.1964264,0.19974495,0.18663733,0.16329022,0.13672768,0.11260724,0.096036814,0.08979661,0.09415307,0.10988107,0.14576119,0.21688773,0.33011067,0.46709132,0.58773655,0.6549681,0.66060543,0.62647665,0.58568424,0.559197,0.5506304,0.55126315,0.5525095,0.5500328,0.5448363,0.5393209,0.53569645,0.5343556,0.5347471,0.5350774,0.53310686,0.5240607,0.5003872,0.4545993,0.3864318,0.30852258,0.24154009,0.20141405,0.18755019,0.18545169,0.18201846,0.17890297,0.18986143,0.22429092,0.27694657,0.3344938,0.39320064,0.4597664,0.539743,0.61955935,0.67556065,0.6901984,0.66794014,0.6281783,0.5911986,0.56995636,0.56998277,0.5930867,0.6327383,0.6743942,0.70130706,0.70985526,0.7102435,0.71675974,0.72929674,0.73520714,0.7189426,0.6781977,0.62214416,0.56663007,0.52239627,0.4933668,0.4728975,0.4494853,0.4106071,0.3537855,0.28807476,0.23076415,0.19313823,0.17384487,0.1617431,0.15039268,0.14613605,0.16189103,0.20213489,0.2539204,0.2956005,0.3114081,0.30082253,0.27435592,0.2472077,0.23619194,0.26132396,0.33449516,0.4496549,0.5724485,0.66523963,0.7038493,0.6972794,0.6667982,0.6360541,0.61487466,0.6067565,0.6089266,0.6176731,0.62765247,0.6339235,0.6335761,0.62654567,0.61550635,0.6033149,0.5911035,0.57722527,0.5571045,0.52587867,0.4805728,0.42415297,0.36401427,0.31030264,0.27013114,0.24570023,0.23306543,0.22674364,0.22379254,0.22525035,0.2322914,0.24232714,0.2509399,0.25582018,0.25918016,0.2633547,0.2676647,0.2681549,0.2631192,0.2552099,0.2500234,0.24963884,0.25104904,0.24864888,0.24025387,0.2282498,0.2167114,0.20778216,0.2015549,0.19791304,0.19710983,0.19829762,0.19921803,0.19761801,0.19342874,0.18848602,0.18508969,0.184568,0.18736076,0.1921661,0.19567287,0.19299029,0.18241708,0.16793048,0.15731639,0.15408503,0.15419255,0.15093021,0.14409465,0.14040554,0.14482854,0.15230817,0.15170492,0.136516,0.111064024,0.08550546,0.06899934,0.06950749,0.099516034,0.17359757,0.29531738,0.44346628,0.5786342,0.666436,0.69866437,0.69127804,0.66700083,0.6406575,0.6183357,0.60258335,0.5951426,0.5964,0.60500175,0.618779,0.634952,0.6507313,0.66411144,0.67413735,0.67792255,0.6683404,0.6349144,0.5720109,0.4841033,0.38724366,0.3000188,0.23530108,0.19383061,0.16777438,0.14941812,0.1393194,0.14459474,0.16947126,0.20918278,0.25614348,0.31180158,0.38541102,0.4817542,0.5858846,0.6730054,0.7234619,0.73910403,0.73397356,0.7246867,0.7195496,0.7212363,0.7276101,0.73536605,0.73997,0.7396045,0.7347563,0.7295644,0.7263666,0.7246583,0.718514,0.70354253,0.680518,0.6591229,0.6492973,0.65406775,0.66269547,0.65724206,0.6206131,0.5474325,0.44690028,0.34093937,0.2538707,0.19916718,0.17291997,0.15953209,0.14805393,0.14063407,0.1475001,0.17252487,0.20697437,0.23721261,0.25570214,0.26547375,0.27280968,0.2835414,0.30303052,0.3427379,0.41176924,0.5081365,0.6079518,0.6829298,0.71544594,0.7134302,0.69628423,0.68215775,0.6765828,0.67661685,0.6774368,0.67669773,0.67528844,0.6742198,0.6736374,0.6726815,0.67109233,0.66964465,0.66731495,0.6590789,0.6350698,0.58735317,0.5163711,0.4347786,0.36023775,0.3061832,0.2750231,0.2611108,0.2565992,0.2560911,0.25662068,0.25637227,0.25446346,0.2512412,0.24830766,0.24722183,0.24849884,0.25088915,0.2519305,0.24954502,0.24480043,0.24171565,0.24486117,0.25381684,0.2637103,0.26794553,0.2646538,0.2561969,0.24725233,0.24020994,0.23533706,0.23130159,0.22704047,0.2216462,0.21459873,0.20602573,0.19716127,0.19018202,0.18697034,0.18789701,0.1918972,0.19731365,0.20327975,0.20893852,0.21336585,0.21512644,0.2139398,0.21073586,0.20799029,0.20861024,0.2152204,0.22730155,0.24014123,0.24635726,0.24234514,0.23123975,0.22047193,0.21364231,0.20950682,0.2086894,0.22410412,0.27573428,0.37374148,0.50063443,0.6189976,0.69518584,0.72310257,0.7209217,0.7115796,0.7033887,0.6912012,0.67235667,0.65556926,0.65404445,0.6660997,0.6754143,0.66891986,0.6543694,0.6532021,0.6722086,0.69421965,0.6893715,0.64325666,0.5639095,0.47299102,0.39089254,0.32819724,0.28713945,0.26267144,0.24741775,0.23428865,0.21980904,0.20384012,0.18725412,0.17150736,0.16139011,0.17028083,0.2152185,0.3032477,0.41654095,0.52012223,0.58669275,0.61913496,0.64310074,0.67920256,0.72316617,0.75441426,0.7611552,0.75064737,0.7386988,0.7292802,0.71566075,0.6935639,0.6730306,0.66728705,0.67522866,0.6807919,0.6711016,0.6522295,0.64154834,0.6446349,0.6483903,0.6303556,0.5818919,0.5111802,0.4379388,0.37739477,0.33435717,0.30376598,0.27748057,0.25045177,0.22142339,0.19250755,0.16705845,0.14931025,0.14142402,0.14215986,0.14791238,0.15589504,0.16600049,0.18153833,0.21022268,0.26560223,0.35674855,0.4782462,0.60065556,0.69074965,0.72915953,0.7271932,0.70939064,0.69712806,0.693543,0.6913001,0.6841598,0.67438126,0.66949874,0.67323303,0.68476254,0.7010155,0.7208467,0.74038345,0.74945956,0.7337492,0.6821272,0.5961794,0.48956564,0.38486707,0.30064723,0.24604191,0.21735251,0.20596802,0.2030844,0.20314528,0.20159711,0.19564842,0.18493722,0.17324065,0.16534317,0.16482961,0.17069475,0.17924239,0.18520357,0.1860445,0.18235315,0.17746858,0.17373057,0.17047502,0.16581029,0.15992342,0.15719275,0.16217917,0.17552066,0.19231923,0.20542228,0.20901357,0.20013846,0.1802849,0.15536149,0.13427658,0.12220737,0.117751665,0.11645653,0.12002143,0.1381848,0.1774161,0.22994508,0.272926,0.28690028,0.26868865,0.23412955,0.20304896,0.18722509,0.1860367,0.19164632,0.19652195,0.19651331,0.19132228,0.18225987,0.17219599,0.16472626,0.16349737,0.17114066,0.19160724,0.23312397,0.3056222,0.41049734,0.53088826,0.63684636,0.7035133,0.7280276,0.7282662,0.72563905,0.7290308,0.7317574,0.7259984,0.71296984,0.703809,0.70292854,0.70271844,0.692221,0.6733909,0.66214573,0.6680067,0.6821597,0.6783581,0.63547516,0.54920673,0.43634292,0.32367632,0.23622888,0.18540321,0.16646455,0.16324,0.16006137,0.14903325,0.13247953,0.11611524,0.104993455,0.1038226,0.12354177,0.17947568,0.27861014,0.4046248,0.52215004,0.60003287,0.6344691,0.64639837,0.6600732,0.6830097,0.70923996,0.73122185,0.74859387,0.76151866,0.7668872,0.75884515,0.738929,0.71498054,0.69641095,0.6823365,0.6663278,0.6459393,0.63105226,0.63540155,0.6584275,0.68125176,0.6747668,0.62188464,0.5243959,0.4038734,0.28779963,0.19893266,0.14494152,0.119381905,0.10919989,0.10519593,0.106557064,0.117118396,0.13862115,0.16580613,0.18913996,0.20004688,0.19646572,0.18253332,0.16881435,0.17071968,0.20906083,0.2960519,0.42496726,0.5602989,0.66301495,0.7091338,0.7101883,0.69099045,0.6762269,0.67026854,0.66961646,0.6685242,0.6697831,0.67729044,0.690954,0.70524627,0.7149156,0.72001094,0.72190005,0.7176528,0.6973677,0.6494532,0.5699743,0.4680837,0.36408782,0.27786914,0.21820481,0.18027513,0.15324558,0.13010661,0.110268384,0.096301705,0.08777866,0.081567265,0.07524914,0.07235831,0.07969784,0.10086596,0.13013883,0.15556705,0.16776459,0.1664718,0.1586247,0.15068953,0.1435727,0.1346483,0.122576386,0.109503746,0.09810392,0.08940815,0.083629064,0.08257508,0.08881089,0.102386095,0.11918221,0.13367034,0.14278847,0.14707237,0.14861012,0.14860485,0.14798327,0.14786784,0.14982346,0.15327066,0.15607037,0.15620847,0.15450901,0.15272735,0.15091817,0.146625,0.13897596,0.13117938,0.12907761,0.1344304,0.14308459,0.14763783,0.1455717,0.14009432,0.13729729,0.14080812,0.15463763,0.18771942,0.25293908,0.3546753,0.47715703,0.5861199,0.6486849,0.6520778,0.6094468,0.54521745,0.48025033,0.4241514,0.38304853,0.36260185,0.36616778,0.3844057,0.4012284,0.4057968,0.40282488,0.40270534,0.40843633,0.4169307,0.4321804,0.4675816,0.53104645,0.6063171,0.66370624,0.6789997,0.6550855,0.60904914,0.5602782,0.5149655,0.47580507,0.4450549,0.42763615,0.42049786,0.41353452,0.39910176,0.38246584,0.37847376,0.3941565,0.42399958,0.45737532,0.49331293,0.53717345,0.5882842,0.63366604,0.65653676,0.6512272,0.62515455,0.59105915,0.55540544,0.51963574,0.4868697,0.46498618,0.4585315,0.4597185,0.45538306,0.44002345,0.4233911,0.4173895,0.42485356,0.44094923,0.4650358,0.50328,0.55606145,0.609406,0.64075786,0.63696647,0.6019836,0.5509399,0.49675974,0.4459064,0.40277144,0.37413466,0.36554316,0.37220776,0.37949276,0.37354052,0.35375094,0.330825,0.31582192,0.3141828,0.33240202,0.37914455,0.45805,0.55065763,0.62630177,0.65774626,0.6450474,0.60574496,0.5618472,0.52190036,0.4870422,0.45874885,0.44362342,0.44412044,0.45164135,0.45358804,0.44682825,0.44186613,0.4487609,0.46557605,0.48368606,0.50086063,0.5254658,0.56035036,0.5952192,0.61114305,0.6008465,0.5734158,0.5446244,0.5214504,0.50013703,0.4782298,0.46082366,0.45580557,0.46016204,0.46242464,0.4553604,0.44645968,0.44886407,0.4649861,0.48540354,0.5029907,0.5234472,0.5563388,0.59626526,0.62421304,0.6221158,0.5931299,0.5526524,0.5150371,0.4803631,0.44771385,0.42248917,0.41648975,0.42901674,0.44500506,0.44752276,0.43701017,0.42902175,0.4350396,0.45203125,0.47135767,0.49375376,0.5279924,0.57288736,0.6123292,0.62524194,0.60729194,0.57077795,0.5323252,0.4981167,0.46725097,0.4422287,0.43148825,0.4384698,0.45302168,0.4589918,0.45145738,0.44096628,0.44079956,0.45124468,0.46524057,0.48101792,0.50836134,0.55245805,0.60270935,0.6365428,0.63878804,0.613379,0.57635003,0.54192454,0.5128707,0.48984405,0.47666407,0.4809301,0.49786544,0.51188207,0.5088954,0.49392197,0.48486933,0.49189457,0.5094918,0.52785033,0.54812604,0.57702845,0.60928845,0.62715656,0.61497617,0.5795364,0.54130363,0.5177877,0.50684476,0.49817193,0.4881128,0.4866492,0.50187933,0.526169,0.54273623,0.54424167,0.5424369,0.55160123,0.572198,0.59342915,0.60835785,0.62327904,0.6419458,0.6586941,0.65793425,0.63525766,0.5994289,0.5666072,0.54212356,0.5213362,0.4994243,0.48175016,0.4764997,0.48145494,0.4840416,0.4762158,0.46581635,0.46735644,0.48464212,0.50842613,0.5297876,0.55130416,0.57855016,0.6072171,0.62294716,0.6174466,0.59803563,0.5800041,0.5691702,0.5573322,0.5362167,0.51023495,0.49567357,0.4998621,0.51482844,0.52487487,0.5270541,0.53304774,0.5537587,0.58438855,0.6020611,0.5828424,0.5170997,0.41839632,0.3147605,0.23134524,0.17730828,0.14511538,0.12320108,0.104916096,0.09205396,0.08731232,0.09052991,0.0964477,0.10107867,0.103590794,0.10604114,0.107972614,0.10671371,0.101454236,0.097319804,0.102327526,0.11943259,0.1421195,0.1585059,0.16080977,0.15071212,0.1363422,0.12501068,0.1190986,0.117856406,0.12064201,0.1272235,0.13552286,0.14109087,0.1407782,0.13569547,0.13081996,0.12959678,0.13150942,0.13267855,0.12961535,0.1205639,0.105671406,0.08720192,0.06902442,0.054855973,0.045219507,0.03848058,0.033893373,0.034741912,0.045394003,0.06684802,0.09352872,0.116445206,0.12865202,0.12970528,0.12486711,0.120494686,0.11936358,0.11998897,0.12002265,0.119162805,0.119270034,0.1212292,0.124588154,0.12788227,0.13111909,0.13433994,0.1374589,0.13904275,0.13772567,0.13238688,0.12244917,0.10835927,0.09218068,0.07872703,0.072622634,0.07599852,0.0849734,0.094641596,0.10182673,0.1100442,0.12250939,0.13991947,0.15556635,0.16260333,0.15624768,0.13798223,0.112080194,0.08501487,0.0633881,0.053065047,0.056287467,0.07011339,0.08735541,0.100738704,0.10687524,0.107436575,0.10667274,0.10766378,0.11045772,0.11282172,0.11230294,0.107934184,0.10023021,0.09142188,0.083760954,0.07893241,0.075732954,0.07270011,0.0704466,0.07415807,0.087850384,0.10855723,0.124842785,0.12534328,0.10729673,0.0783873,0.049758058,0.030544013,0.02776736,0.05022658,0.10447767,0.1850853,0.26923096,0.3269806,0.3413814,0.31729367,0.27477637,0.23112024,0.1934657,0.16055936,0.13125469,0.107340254,0.09132996,0.08288587,0.078435965,0.07402595,0.06786611,0.060507964,0.05348185,0.04793258,0.044236187,0.042062286,0.04086073,0.040512387,0.04227544,0.048205215,0.059868734,0.076085635,0.09351787,0.107871115,0.11637383,0.11766434,0.11180979,0.10030473,0.08713163,0.078577064,0.079070695,0.086954534,0.09370699,0.09088162,0.0768538,0.057454932,0.03994162,0.027274756,0.018620627,0.012111078,0.0073317117,0.00423923,0.0026554388,0.001891783,0.0014724238,0.0011514147,0.0008854366,0.0006605235,0.00047541186,0.00033329576,0.00022994116,0.00015781178,0.000111124944,9.151301E-05]