[0.06885176,0.06921763,0.06939668,0.068435736,0.06647564,0.06415275,0.061615378,0.057948988,0.05226786,0.044589665,0.035903145,0.027379831,0.019844456,0.0139399255,0.010456317,0.010554847,0.015984893,0.029384265,0.053783596,0.0898152,0.13314416,0.17398453,0.20240743,0.21314527,0.20953347,0.19956905,0.1918034,0.18897283,0.18926354,0.1897345,0.1911345,0.19681992,0.20705408,0.21713339,0.21932308,0.21118152,0.19690263,0.18588041,0.18442346,0.19371122,0.20943666,0.22683316,0.24124534,0.24966097,0.24969424,0.24129228,0.22636706,0.20860733,0.19194561,0.17897002,0.17039669,0.1654414,0.16363703,0.16492935,0.16874886,0.17353785,0.17793255,0.1829419,0.18988138,0.19900721,0.20666827,0.20979746,0.20492,0.19180246,0.16986054,0.143304,0.117200166,0.09804863,0.08711568,0.08291518,0.08172084,0.08140377,0.08072936,0.07936708,0.077262945,0.074905775,0.07315954,0.07276436,0.07382221,0.075820096,0.07816724,0.08052558,0.08274143,0.084361315,0.08482367,0.08374997,0.08153484,0.07890836,0.07637168,0.07339018,0.06856532,0.06050658,0.04904032,0.035808414,0.023587877,0.015078039,0.011856169,0.014251356,0.021412203,0.03139544,0.04125859,0.047884524,0.049087066,0.04463027,0.037615772,0.03463417,0.045285795,0.075033255,0.12140313,0.17094243,0.21003349,0.23011412,0.23328157,0.22553329,0.21490766,0.20713878,0.20518382,0.20735526,0.21035098,0.21231754,0.21500474,0.21968047,0.22553636,0.2288497,0.22752137,0.22185005,0.21506505,0.210559,0.21075058,0.21576814,0.22376688,0.23149194,0.23587815,0.23483317,0.22738893,0.21294403,0.19169088,0.16584949,0.140141,0.120421074,0.11105204,0.1141189,0.12868907,0.1511182,0.1742546,0.1904449,0.19576679,0.19344968,0.19182585,0.19713224,0.20910583,0.21960998,0.22036569,0.20718242,0.18503106,0.16176148,0.14438254,0.1330455,0.12460206,0.11504654,0.10310785,0.08934224,0.07547945,0.06343724,0.05472523,0.04969232,0.04746704,0.046755638,0.04698513,0.04835138,0.051146787,0.054657143,0.05801474,0.061862707,0.07057405,0.08940507,0.12031734,0.15672714,0.18736719,0.20198976,0.19952987,0.18683578,0.17446433,0.16838779,0.16757761,0.16649704,0.16154951,0.1543697,0.14917356,0.14813645,0.14960991,0.15136272,0.15378205,0.1600874,0.17236166,0.18878931,0.20247562,0.20524871,0.1907266,0.15941872,0.11855808,0.08099165,0.058951516,0.0598339,0.08206156,0.11512003,0.14274527,0.15056904,0.13378288,0.0995112,0.06164852,0.032640535,0.019248353,0.02385295,0.04729874,0.08815081,0.14010888,0.19215566,0.23338135,0.2583553,0.26760873,0.26475963,0.2527805,0.23424594,0.21161135,0.18819873,0.16668378,0.1489252,0.13541637,0.12591103,0.119126074,0.11321349,0.10653257,0.100376695,0.09972078,0.11257402,0.1428228,0.18697886,0.23181868,0.2640275,0.27350986,0.25942424,0.22445893,0.17697977,0.1260129,0.08169565,0.04905921,0.028847506,0.018060127,0.014457383,0.018167088,0.03194952,0.058062423,0.094791174,0.13452816,0.1667947,0.18301558,0.18134488,0.16664267,0.14794646,0.13265075,0.123439044,0.11792747,0.11329344,0.10890559,0.106689036,0.10725195,0.108790725,0.10700065,0.09839028,0.08175372,0.059989247,0.038558617,0.023353001,0.017779496,0.02268857,0.036638055,0.0563323,0.07551547,0.08679607,0.084869206,0.070405416,0.050758746,0.03688028,0.039363895,0.0603894,0.09257406,0.11954548,0.12993675,0.12210369,0.10640829,0.09307555,0.08760089,0.088403225,0.09176581,0.09431934,0.094300635,0.0916334,0.087157555,0.082105994,0.07691434,0.07108784,0.06343578,0.053325415,0.042074397,0.034166407,0.037289944,0.05894668,0.1006969,0.15348019,0.2008334,0.22816433,0.23140655,0.21692787,0.19505085,0.17334844,0.15514345,0.14114507,0.13176781,0.12719257,0.12680787,0.12849946,0.12983936,0.13010915,0.13132994,0.1375811,0.15051316,0.16835825,0.18500596,0.19633418,0.19829483,0.18906023,0.16508015,0.12882052,0.08739328,0.052155633,0.028809607,0.017040512,0.011958965,0.009735589,0.008355218,0.007294424,0.0063526817,0.0054462156,0.004570817,0.0037766148,0.0031593135,0.0027953123,0.002753739,0.004815401,0.0135147385,0.0367967,0.07793822,0.1308964,0.1771316,0.20047481,0.19556414,0.17361607,0.1491877,0.13267674,0.12515636,0.12374225,0.12482198,0.12637728,0.12751491,0.12792915,0.12763812,0.12733364,0.12858833,0.13342093,0.14197944,0.15264459,0.16263098,0.17233546,0.18297179,0.19581135,0.2076902,0.21583231,0.21811368,0.21570267,0.20916401,0.19967572,0.18882228,0.17976363,0.1754729,0.17703779,0.18337615,0.19159663,0.19905125,0.20374824,0.20496488,0.20187105,0.19315906,0.1795411,0.16837347,0.1772188,0.22334822,0.30794618,0.40349486,0.4703064,0.48240897,0.44766948,0.3945335,0.34997788,0.3232012,0.31118453,0.30797324,0.31015602,0.3146943,0.31775585,0.31602263,0.30929863,0.30038008,0.2927606,0.28736293,0.28197077,0.27338842,0.2615228,0.24949503,0.24009027,0.23073946,0.21544121,0.19036965,0.1590516,0.12999092,0.111447126,0.106797986,0.11327233,0.12298575,0.1266946,0.1200633,0.10735912,0.09894373,0.10281781,0.118953265,0.1398866,0.1572466,0.16641326,0.16758461,0.16306627,0.15546207,0.14653608,0.13715148,0.1261667,0.11121655,0.09065177,0.06699789,0.0466558,0.03707781,0.041345965,0.056753974,0.076362394,0.09502504,0.11177963,0.12918131,0.14725232,0.16157562,0.16483425,0.1540431,0.13319667,0.113590546,0.106517255,0.1195642,0.14856894,0.18043578,0.1955386,0.18479623,0.1542983,0.12523314,0.11414828,0.123547316,0.14084369,0.15340519,0.15705581,0.15651123,0.15676259,0.1585259,0.15904593,0.15728249,0.15782915,0.17190509,0.21071327,0.2752097,0.35013163,0.41510233,0.45933473,0.4865462,0.500982,0.4994893,0.47639105,0.43645754,0.39390722,0.36254883,0.34773052,0.34975007,0.36955988,0.4084128,0.46031377,0.5067585,0.5250575,0.50373846,0.45361903,0.3981479,0.35736075,0.33613035,0.32901153,0.3286287,0.3297236,0.3281887,0.31885588,0.2992567,0.2705265,0.23807882,0.20655918,0.17905574,0.15740432,0.14383817,0.13903396,0.14021818,0.1419841,0.14067091,0.13589509,0.12998116,0.12485424,0.12292936,0.12666738,0.13728702,0.15223247,0.16530538,0.17146446,0.16887315,0.16078293,0.15134954,0.14521086,0.14405392,0.14827497,0.15547787,0.16284342,0.165999,0.16216145,0.1504563,0.13470042,0.12083975,0.11501366,0.11855066,0.1277392,0.13547581,0.13722199,0.13239975,0.12494988,0.11947381,0.12200207,0.1342625,0.15369886,0.17048633,0.17835508,0.17625749,0.17189841,0.17315876,0.18853031,0.22075017,0.26551846,0.3074361,0.3315641,0.33284783,0.32057843,0.30612388,0.29326108,0.27855277,0.2595705,0.24093302,0.2303791,0.23514593,0.25960103,0.30408326,0.36118755,0.41178143,0.43464407,0.41882685,0.37486565,0.32449254,0.2870657,0.26772046,0.2614446,0.26070654,0.26208094,0.2662146,0.27441958,0.28572592,0.29633942,0.30248877,0.30270818,0.29846144,0.29225764,0.28595936,0.28094962,0.27714622,0.27325737,0.26453176,0.2465096,0.21666427,0.17871399,0.1397612,0.10865122,0.0920127,0.093300045,0.11080613,0.13786285,0.16458006,0.18194778,0.18442035,0.17100425,0.14480032,0.112708084,0.084266864,0.06874574,0.07151076,0.09095985,0.118934534,0.14493138,0.16205782,0.17011756,0.17330004,0.17537922,0.1768918,0.17596298,0.17037463,0.15880597,0.14098509,0.11908982,0.09836713,0.0869165,0.09089735,0.110897504,0.13965929,0.16594915,0.17873943,0.1724899,0.15044422,0.12474936,0.112389065,0.12246403,0.15227641,0.18610728,0.21236826,0.2256489,0.23131377,0.23272687,0.2331727,0.23271067,0.23276915,0.2329879,0.23095398,0.22223425,0.20332478,0.17510144,0.14309947,0.115137435,0.096320935,0.08745981,0.0879823,0.10204035,0.14084685,0.21293806,0.31088838,0.4040973,0.45714435,0.45271936,0.40597972,0.34801713,0.30482113,0.28339902,0.27826235,0.28023818,0.28284517,0.28229973,0.27763197,0.27004394,0.26204768,0.25569543,0.25161633,0.24909282,0.24694902,0.24439842,0.24213777,0.24038261,0.23732765,0.2269792,0.20466651,0.17108206,0.13528983,0.10789621,0.096030466,0.09909207,0.11215041,0.12765634,0.1397497,0.14468645,0.14282803,0.13621986,0.12712245,0.115912914,0.102269255,0.08684724,0.07170681,0.061003473,0.060045153,0.07673748,0.11486629,0.17107825,0.23040266,0.27759457,0.30320016,0.31014788,0.30606186,0.29979655,0.2955749,0.2939286,0.2915487,0.28636363,0.27886364,0.27185106,0.26560295,0.26013485,0.25974953,0.27702537,0.32098615,0.38439885,0.43749925,0.45084593,0.4141874,0.3490107,0.2831783,0.23730558,0.21157765,0.20582853,0.22342527,0.27226207,0.34498164,0.4135963,0.44356474,0.41881165,0.35560918,0.28503296,0.23026405,0.19318242,0.16621132,0.1450646,0.13363431,0.13807708,0.16246043,0.21010776,0.2804631,0.36350843,0.4330754,0.461494,0.4368149,0.37576225,0.30776134,0.2569494,0.2294435,0.21931751,0.21689354,0.21514899,0.21241824,0.21079467,0.21331178,0.21929044,0.22512539,0.22709034,0.2241639,0.21777298,0.21012504,0.20458949,0.20294313,0.20516606,0.20644467,0.20376068,0.19597878,0.18686426,0.17778306,0.16853134,0.15602152,0.13922171,0.11901186,0.09950837,0.08518219,0.07968963,0.08173422,0.086707585,0.08795159,0.08341033,0.07588299,0.0730237,0.08151751,0.10326717,0.13295738,0.15995605,0.17497315,0.17375226,0.15884183,0.13510285,0.108945586,0.08647422,0.07286042,0.06885874,0.070603184,0.073406674,0.076811664,0.08507315,0.10127544,0.12168392,0.13611847,0.13543762,0.11815912,0.0915704,0.06817563,0.060142327,0.0749424,0.1075657,0.14242275,0.15875943,0.1494251,0.12412412,0.107073456,0.1168615,0.15689169,0.21372475,0.26919165,0.31327227,0.3444315,0.36586788,0.37564018,0.37164578,0.35410973,0.33246922,0.32095394,0.33127522,0.3639603,0.4055438,0.44073066,0.45957947,0.46249664,0.44698426,0.41037047,0.35209548,0.28579995,0.22914554,0.19581385,0.1872193,0.2011346,0.23769514,0.29676366,0.36843896,0.42656615,0.443941,0.40910855,0.34029332,0.26919308,0.2233823,0.20889024,0.21684217,0.23195146,0.24344623,0.24603502,0.23916812,0.22574861,0.20975809,0.19563861,0.18458492,0.1754127,0.16405366,0.14793654,0.12795788,0.11075575,0.10326191,0.10759876,0.11610111,0.118179806,0.10694995,0.08644593,0.06694976,0.059419047,0.06794978,0.08902484,0.11325204,0.1302814,0.13278113,0.1197479,0.09666184,0.073214635,0.057800684,0.054590125,0.06370136,0.08436415,0.114948265,0.15065897,0.1834107,0.20567887,0.21563964,0.21678764,0.2142074,0.2103496,0.20448522,0.19422789,0.17904806,0.16239698,0.15217261,0.15246618,0.15951936,0.1599307,0.14573027,0.119973324,0.09919163,0.09840375,0.123530895,0.16650054,0.21163683,0.24519563,0.26359615,0.27401355,0.2843612,0.2955352,0.3015243,0.2985271,0.28861544,0.2767205,0.2658889,0.25958073,0.2666886,0.296146,0.346997,0.40061986,0.4355619,0.44147977,0.42737558,0.40717947,0.38981858,0.3751057,0.36114943,0.3479971,0.33743718,0.33029673,0.3255318,0.32174245,0.317844,0.3134036,0.30752638,0.3001882,0.29214233,0.28538975,0.2809981,0.27818704,0.27386263,0.2637717,0.24603975,0.22257066,0.19916795,0.18055558,0.1684768,0.1612796,0.15722494,0.15527219,0.1544591,0.15194191,0.14336766,0.12524115,0.09849304,0.069792695,0.049446728,0.04614122,0.060849134,0.08524635,0.105686404,0.11378953,0.11184179,0.11069849,0.11777654,0.13102679,0.14141336,0.14298224,0.13663237,0.12710042,0.11911162,0.11850778,0.13492252,0.17624949,0.24021566,0.31019822,0.36547014,0.39355552,0.39627323,0.38360333,0.36564133,0.34900793,0.33692655,0.32992992,0.3227024,0.30702016,0.27542707,0.23131633,0.18551923,0.15308388,0.14263768,0.15789522,0.19387744,0.23883276,0.27331153,0.28160337,0.25924084,0.21687448,0.16978057,0.12979397,0.10036603,0.081203975,0.07104287,0.07241877,0.09195036,0.14321321,0.23389785,0.35569766,0.47231683,0.54352665,0.5469764,0.49835432,0.42860615,0.36284217,0.30537805,0.2525325,0.20363204,0.16363214,0.13636264,0.119822025,0.10822778,0.09607986,0.08141583,0.06545099,0.051671367,0.043858662,0.045590933,0.058147985,0.07972709,0.10455918,0.12567714,0.1374741,0.1377279,0.12707596,0.10801155,0.08442151,0.060522303,0.040203277,0.025489911,0.016802853,0.013018352,0.012639475,0.014205326,0.016803388,0.019945918,0.023416638,0.027091237,0.030918173,0.034958523,0.039388824,0.04443099,0.050221812,0.056726176,0.06373285,0.071032055,0.078526765,0.086270116,0.09424769,0.102295764,0.110088855,0.117322,0.1236914,0.12892485,0.13280779,0.1355094,0.13761139,0.13988356,0.14264633,0.14553316,0.14768809,0.14836282,0.14733268,0.14488955,0.1415904,0.13784382,0.13382249,0.12943055,0.12482803,0.12104905,0.12101089,0.12913273,0.14908637,0.18001902,0.21522067,0.24526341,0.26374534,0.27016768,0.2679747,0.26037264,0.24908175,0.23506469,0.22012025,0.20779435,0.20564938,0.22615595,0.277962,0.354429,0.4288188,0.4723455,0.47394994,0.44679394,0.41205105,0.38301763,0.36203456,0.3470745,0.33679792,0.32977828,0.32332253,0.3144138,0.30164513,0.28667107,0.27282834,0.26361647,0.26041722,0.26399708,0.27461648,0.2933308,0.31642494,0.33574143,0.33868515,0.31945065,0.28028578,0.23245156,0.18687992,0.15357156,0.13870077,0.14432098,0.16461574,0.18812923,0.20444123,0.21030687,0.20988917,0.20916325,0.211524,0.21620107,0.2203141,0.22046274,0.2139988,0.19965304,0.17890912,0.15668558,0.13960089,0.1319258,0.13234597,0.13518874,0.13567995,0.13473594,0.13947104,0.15998699,0.20520282,0.27952245,0.3748531,0.46867147,0.5276459,0.53161275,0.4843578,0.41498312,0.3519369,0.3117075,0.2940599,0.2940404,0.3042276,0.31441274,0.31171355,0.28664747,0.24195957,0.19288582,0.16269223,0.17410593,0.23700231,0.3389012,0.4411479,0.5029827,0.5048583,0.46313408,0.40873384,0.3654876,0.33734345,0.3176426,0.2998259,0.28280535,0.27163926,0.2755319,0.30790424,0.3750802,0.4676381,0.55251855,0.5945974,0.57725734,0.5188889,0.45293376,0.40663174,0.38489994,0.37876332,0.37657747,0.37222752,0.3645518,0.35447708,0.3427064,0.32973722,0.31635702,0.30459797,0.2964274,0.2936232,0.29645523,0.30489525,0.31571612,0.32362017,0.32058334,0.30376968,0.2753353,0.24354957,0.21435188,0.19168888,0.17581932,0.16650634,0.1613927,0.15674026,0.14871691,0.13526976,0.11793066,0.10096255,0.090506636,0.08990448,0.09695964,0.10382707,0.10344753,0.09619162,0.09155166,0.101527475,0.13091771,0.17252322,0.21183331,0.23686236,0.24450976,0.23933923,0.22895432,0.22328329,0.23614474,0.28218022,0.36288202,0.45644388,0.5247755,0.54084116,0.5081128,0.4548986,0.4094851,0.3827099,0.37132546,0.36842486,0.3693273,0.36761406,0.35594416,0.32980308,0.2934951,0.25793108,0.23682581,0.2442276,0.2875034,0.36133766,0.43830776,0.4872369,0.48791614,0.449978,0.3954089,0.34671578,0.31154367,0.29034153,0.28020862,0.2795576,0.2872109,0.3035049,0.33479428,0.38769922,0.46065497,0.53104144,0.5701564,0.56146836,0.519054,0.47030464,0.43640256,0.41746637,0.40363702,0.38721815,0.3691775,0.35428473,0.34549212,0.34150913,0.3383968,0.3321847,0.32131463,0.30718282,0.29393387,0.2868124,0.290826,0.30687705,0.329886,0.34857047,0.3526963,0.33746195,0.30530405,0.26154515,0.21426088,0.17525625,0.15704012,0.16505687,0.19118015,0.22001742,0.23830609,0.24216563,0.23317908,0.214624,0.18920171,0.16043343,0.13184015,0.10679839,0.0895958,0.087031595,0.10488119,0.1416328,0.18580227,0.22243871,0.24280654,0.24853945,0.24704927,0.24520735,0.24902189,0.26798046,0.31520775,0.39498428,0.49017063,0.5638172,0.5846278,0.54911435,0.4834051,0.41949508,0.37549472,0.35198355,0.34208488,0.3382024,0.33091286,0.30921587,0.26535282,0.2036758,0.14196785,0.10635825,0.12239734,0.1996768,0.32247797,0.44432902,0.51583505,0.5089395,0.4384817,0.34099963,0.25362715,0.19259135,0.15747689,0.13852803,0.12714238,0.12306148,0.13633253,0.18497498,0.2766023,0.3975064,0.50739986,0.5687094,0.5664007,0.52132744,0.4638481,0.41708755,0.38414356,0.36149743,0.34484878,0.33438656,0.3295337,0.32836196,0.3270128,0.3231301,0.31654015,0.30897793,0.30155656,0.29503644,0.29076472,0.29167965,0.29730362,0.30157343,0.29360196,0.26953998,0.23593354,0.20758152,0.19254668,0.18755345,0.1798475,0.15997905,0.12853716,0.09715446,0.079404555,0.08123379,0.095722914,0.107999146,0.10589702,0.087631606,0.061509024,0.039241266,0.031131538,0.045412093,0.08625967,0.15037452,0.22285418,0.28486872,0.3230138,0.33719134,0.33517972,0.32577085,0.31371316,0.30065534,0.2867564,0.27188095,0.2566012,0.24243112,0.23064445,0.22088134,0.21424526,0.21763885,0.24572144,0.30591998,0.38753363,0.45653343,0.48382905,0.46080753,0.40892172,0.3529979,0.31038746,0.2848766,0.28094432,0.30734244,0.36571446,0.44013366,0.49242315,0.493655,0.4402893,0.36479738,0.301785,0.27147153,0.2678149,0.27699408,0.28561524,0.2877509,0.28391504,0.282969,0.30244467,0.35273755,0.4258703,0.48733675,0.5065967,0.47411263,0.41419518,0.35515556,0.31501937,0.29124117,0.27594447,0.2627009,0.25062022,0.24072285,0.2335459,0.22833277,0.22348899,0.21811467,0.21255112,0.20793112,0.20615299,0.20960186,0.22178245,0.24235286,0.26604414,0.28209648,0.28460363,0.27458867,0.26005334,0.24606426,0.23358011,0.21975686,0.20282282,0.18168245,0.15649079,0.12812324,0.099799834,0.075604156,0.058834594,0.049345493,0.044292316,0.03997195,0.034720324,0.030065803,0.031328876,0.045744855,0.07916224,0.13014531,0.1890222,0.24110223,0.2758751,0.29045972,0.28915712,0.27885437,0.26921484,0.27444604,0.30907387,0.37602603,0.45485815,0.51007,0.5140298,0.46872953,0.4006003,0.33949065,0.29952064,0.2798686,0.27340913,0.27323112,0.27260157,0.26701692,0.25731882,0.24983002,0.249143,0.25412908,0.26017034,0.26764527,0.28075048,0.30257595,0.32795176,0.34937415,0.36169294,0.3668735,0.3685319,0.36953208,0.3695153,0.36696923,0.35991976,0.34940705,0.34182307,0.35116208,0.38844728,0.45131573,0.5155446,0.55295634,0.5495734,0.51814085,0.48157236,0.45626453,0.4425274,0.43368456,0.42455068,0.41550425,0.40839636,0.40389013,0.4002062,0.39542136,0.3881558,0.378198,0.3656845,0.3521508,0.34038293,0.33419907,0.3335863,0.33390105,0.3262606,0.3068854,0.27896738,0.25241256,0.23413658,0.22558129,0.22268341,0.22097111,0.21760102,0.2115792,0.20338696,0.1943655,0.18666933,0.18142836,0.17745566,0.17080967,0.15769085,0.13825227,0.11772406,0.10271432,0.09580598,0.09510976,0.09874037,0.108398706,0.12659676,0.15105093,0.17440407,0.18966168,0.19732195,0.20706004,0.23482724,0.29269925,0.3768917,0.4619074,0.51343554,0.512121,0.46768245,0.40882292,0.36014155,0.32983795,0.3135824,0.3064812,0.30580437,0.30989707,0.31430507,0.31548306,0.31191412,0.3075924,0.30965945,0.3296344,0.37311468,0.4345993,0.4898506,0.5148253,0.49837258,0.45531723,0.40815994,0.3742772,0.35471687,0.3434402,0.33427295,0.3255166,0.31918475,0.3202672,0.337127,0.37349418,0.4232345,0.46631363,0.48536852,0.4745355,0.44590846,0.4135029,0.38716117,0.3677131,0.35483432,0.3474637,0.3448589,0.34417614,0.34238872,0.33707777,0.32802114,0.31663787,0.3055884,0.2971496,0.29301703,0.29317173,0.29645267,0.29611364,0.28289035,0.2472338,0.19222707,0.13045628,0.08055371,0.052520853,0.049037725,0.065390475,0.09565876,0.1312905,0.16449605,0.18909478,0.20307839,0.20586334,0.19826667,0.18170935,0.16087042,0.14205068,0.13121712,0.12933408,0.13280876,0.13576496,0.13512152,0.13151169,0.12866852,0.12899391,0.13105786,0.12892462,0.11809201,0.10222671,0.096193306,0.11977591,0.1847109,0.2825112,0.38399127,0.45440373,0.47599268,0.45691752,0.4211346,0.38815656,0.36455083,0.3481897,0.33719805,0.33070007,0.3260797,0.31675544,0.29773995,0.26927403,0.24087767,0.22741897,0.24660838,0.30423966,0.38683724,0.45728946,0.48109463,0.44469237,0.36846018,0.28403923,0.2173518,0.17471929,0.15018049,0.13400069,0.12160304,0.11841092,0.13768141,0.19326861,0.28470492,0.39114133,0.476374,0.5122967,0.49408343,0.44325092,0.38791773,0.3481604,0.32767752,0.32043839,0.31722346,0.31174508,0.3028666,0.29375347,0.28853095,0.2887138,0.29232165,0.29672334,0.30021656,0.30370188,0.30824208,0.3151373,0.32125363,0.3207803,0.30547467,0.2742585,0.232471,0.19108665,0.15647043,0.12988459,0.1074903,0.086479835,0.0669899,0.053220633,0.049605787,0.05652528,0.068192594,0.07638907,0.077195935,0.07443515,0.077024706,0.091633044,0.11843336,0.15307997,0.19188946,0.23345907,0.2743249,0.30692637,0.322786,0.32003367,0.30469278,0.28685448,0.27365652,0.26722568,0.26517752,0.2642993,0.26188412,0.2566885,0.24745129,0.23345178,0.21521157,0.19602577,0.18052311,0.17272238,0.17472953,0.18792836,0.21243566,0.24469352,0.27571478,0.29550302,0.2997032,0.29187095,0.27944744,0.26786548,0.25954422,0.25364628,0.24812292,0.23973398,0.2273825,0.21244465,0.19823635,0.1865681,0.17656095,0.16586973,0.15277427,0.13835497,0.12837549,0.1354481,0.17598653,0.25565687,0.35676256,0.43984982,0.4725891,0.45155573,0.40320134,0.3562753,0.32380798,0.30252394,0.28645387,0.2736965,0.26470777,0.25872877,0.25342602,0.24750727,0.24177073,0.23829365,0.23795946,0.23927592,0.24035446,0.24099292,0.24455412,0.25184062,0.25999293,0.26024213,0.24914889,0.22858132,0.20735043,0.19025676,0.17837131,0.16819178,0.15661664,0.14114033,0.121335745,0.09946578,0.080257215,0.06762745,0.061444674,0.057373464,0.05112399,0.042346496,0.03517268,0.03518858,0.046861347,0.07225319,0.11018256,0.15493347,0.19710225,0.22793627,0.24649055,0.26213253,0.2921205,0.34683397,0.42299762,0.49984065,0.55782026,0.5848632,0.58198714,0.5521377,0.501186,0.4390166,0.37971136,0.33483163,0.30723977,0.2929026,0.2868168,0.28459382,0.28369907,0.28006557,0.27338067,0.26480624,0.26093912,0.2691682,0.30007398,0.35549638,0.42502096,0.4809227,0.50099593,0.47917232,0.43454826,0.38895687,0.3572823,0.33872643,0.32783845,0.31845632,0.30833873,0.29935443,0.29931608,0.3203595,0.3676679,0.4308028,0.48251113,0.49971208,0.47753727,0.4340783,0.3910705,0.36180988,0.3459364,0.3378884,0.3322706,0.32638577,0.3196585,0.3128499,0.30754504,0.30491173,0.30479816,0.30528128,0.30292264,0.29612923,0.28727862,0.28445765,0.29255304,0.30910268,0.32127106,0.31998482,0.3046032,0.28533575,0.27044275,0.26291126,0.25939873,0.25630262,0.25162476,0.2455632,0.23967719,0.23481387,0.2293268,0.21763144,0.19394726,0.15675497,0.11247457,0.071730874,0.04498941,0.038880177,0.05743109,0.09977963,0.15831082,0.21758188,0.26281032,0.28666452,0.2928944,0.2896752,0.28634134,0.29165867,0.3173771,0.37107387,0.44812265,0.52282596,0.5641587,0.5535074,0.50170845,0.43443432,0.37611017,0.33536816,0.31185272,0.3019155,0.30071798,0.30082855,0.29375038,0.27733365,0.25604174,0.2389298,0.2322442,0.23970842,0.26120052,0.29343963,0.32740673,0.35276893,0.3632578,0.36117557,0.3532996,0.34513664,0.3374413,0.32779256,0.31326088,0.29343042,0.27464104,0.27251467,0.30558908,0.3776442,0.4650805,0.5250883,0.52617335,0.47028902,0.38968253,0.31979084,0.279128,0.26569453,0.26815662,0.27487448,0.27902386,0.27810505,0.27300546,0.265304,0.25670403,0.24879636,0.24361122,0.24257737,0.24571626,0.2508947,0.25508896,0.25266966,0.2385062,0.20837127,0.16690807,0.12333942,0.08956146,0.06960191,0.061744943,0.059643432,0.05905141,0.058465853,0.059100803,0.061703842,0.064719886,0.06470042,0.059521094,0.051612362,0.0480631,0.0570471,0.08209408,0.119242884,0.15828024,0.18836026,0.20227508,0.19955738,0.18644655,0.17453767,0.17489685,0.19151266,0.21818773,0.24527867,0.27011022,0.303471,0.35968828,0.4401572,0.52198726,0.5716662,0.5687333,0.52192664,0.45880544,0.4050053,0.37085018,0.35349977,0.34583315,0.34001294,0.32989112,0.3104399,0.28184825,0.24813336,0.2173682,0.19930863,0.20394401,0.23611867,0.2884359,0.34271273,0.37950993,0.3907161,0.38026717,0.356783,0.32570064,0.28933606,0.24995516,0.21098407,0.17570782,0.14995784,0.14658739,0.18401587,0.27001742,0.38574657,0.48782673,0.5371379,0.5255369,0.4783254,0.42901787,0.39613008,0.3787836,0.368289,0.3588667,0.348886,0.33837476,0.3266678,0.31432912,0.3032209,0.29622257,0.2944418,0.29701808,0.30219886,0.3089402,0.3164995,0.32114887,0.31668356,0.29727894,0.2650017,0.22899532,0.20123531,0.1873274,0.1850614,0.18662257,0.18418388,0.17333926,0.15456979,0.1334995,0.11843956,0.11624334,0.12753929,0.14580765,0.16166927,0.16874082,0.16683464,0.15966594,0.15111212,0.1430378,0.13629383,0.1323561,0.1332407,0.13980626,0.15030044,0.16115941,0.16873682,0.17039092,0.16393119,0.14809148,0.12469703,0.1007605,0.08696859,0.090848036,0.11241271,0.14573185,0.18890631,0.24591272,0.3181857,0.39088884,0.4376122,0.43909824,0.40178218,0.35001042,0.30783582,0.2819532,0.270779,0.2748092,0.30452967,0.36185896,0.42992464,0.47169456,0.46135178,0.39978275,0.317327,0.24393976,0.19551201,0.16946478,0.15933701,0.1594742,0.16614266,0.17717497,0.19640736,0.23490512,0.29944006,0.37976196,0.44866896,0.4825265,0.4781541,0.45238802,0.42442524,0.4044243,0.39316592,0.38967165,0.39324388,0.4032006,0.41532746,0.42405418,0.42365304,0.4135842,0.3975805,0.3829706,0.37470075,0.37363052,0.37559807,0.37587062,0.3718113,0.36477247,0.3574067,0.35218433,0.3498073,0.34969345,0.34986457,0.34879366,0.3478924,0.35208902,0.36613926,0.38890028,0.41193077,0.4239024,0.41825366,0.396858,0.3678703,0.3400466,0.31883967,0.3065901,0.303628,0.30898914,0.31913757,0.32942316,0.33574346,0.33721122,0.33495244,0.33055386,0.32442546,0.31668338,0.31042406,0.31344506,0.33736566,0.38706338,0.4530122,0.51014465,0.5355657,0.5224577,0.4845253,0.4410007,0.40584323,0.38268754,0.37071535,0.36747134,0.37180638,0.38261238,0.39847282,0.4155314,0.4295455,0.43874085,0.44733062,0.46167198,0.4829383,0.5021615,0.5051628,0.48584425,0.45304024,0.42622223,0.41998437,0.4339945,0.45530668,0.46908975,0.46966478,0.46024254,0.45051277,0.45015848,0.46660805,0.49810132,0.53186285,0.548888,0.53784776,0.5035445,0.462285,0.42909566,0.40921497,0.39981434,0.39611837,0.3953584,0.39701673,0.4005507,0.40392599,0.40393302,0.39860448,0.38931695,0.37923765,0.37092677,0.36473313,0.36048386,0.35883692,0.36017188,0.36422262,0.36911786,0.37434077,0.37916884,0.383675,0.38669395,0.3882291,0.3890036,0.3900455,0.39121234,0.39108965,0.38924298,0.38603532,0.38286987,0.38001728,0.3783269,0.3787358,0.38278353,0.38972223,0.39688182,0.40048888,0.39868724,0.39240596,0.38446215,0.37774,0.37310252,0.3700875,0.36731026,0.36418787,0.3604436,0.35623312,0.35174596,0.34683976,0.34117815,0.33413514,0.32642063,0.31976286,0.316777,0.31846607,0.3237135,0.32903334,0.33130082,0.3307546,0.3318607,0.34107485,0.35978138,0.38351047,0.4023783,0.41084698,0.40791547,0.39900336,0.38855514,0.38025212,0.37516698,0.37337914,0.37457886,0.3770448,0.38010147,0.3816099,0.38145694,0.3783314,0.3735278,0.3679454,0.36616278,0.37448323,0.40028194,0.44289646,0.4885057,0.5151264,0.50790554,0.47169864,0.42548636,0.3881067,0.3664025,0.35740495,0.35514674,0.35596216,0.35882127,0.36362085,0.36959437,0.37525976,0.3793932,0.3824393,0.3856556,0.39012662,0.39551175,0.4011408,0.40657493,0.4120095,0.41759786,0.4228349,0.42670086,0.4274987,0.4241248,0.41620842,0.40519324,0.3933091,0.38317418,0.37599632,0.3711711,0.3665832,0.36065313,0.35383797,0.34793675,0.34420243,0.34155464,0.33790305,0.33177042,0.32369438,0.3153724,0.30817723,0.3027792,0.29826868,0.2932224,0.2852132,0.2734556,0.2595063,0.24763316,0.24312367,0.25079688,0.27699903,0.32414535,0.38744804,0.44698092,0.4821551,0.48124933,0.4547055,0.42018378,0.39347902,0.37708572,0.36761022,0.3601795,0.35285923,0.3454366,0.33769408,0.33010888,0.32404605,0.32440743,0.33914682,0.3752929,0.42954087,0.48215032,0.5061526,0.4853712,0.42883036,0.36127758,0.30585316,0.2692559,0.24813567,0.23840731,0.24378878,0.26924926,0.31598857,0.376134,0.43811783,0.48829588,0.5148857,0.51024646,0.4771795,0.42970765,0.38549063,0.35530862,0.33899558,0.33044788,0.32396698,0.31706533,0.30948856,0.30219102,0.29620457,0.29197216,0.28864405,0.2851003,0.28129482,0.2789023,0.2799685,0.28521013,0.29329634,0.30200008,0.30939707,0.31445673,0.3162554,0.31407067,0.3075283,0.29801857,0.2880869,0.28074706,0.2768196,0.27460703,0.27055615,0.26251197,0.2509854,0.23906745,0.23008065,0.22657275,0.2294973,0.23807663,0.24941953,0.259452,0.26541767,0.26755688,0.26882032,0.2717437,0.27653256,0.28105357,0.28293395,0.28088868,0.27457938,0.26454523,0.25245973,0.24174432,0.23583485,0.23542072,0.23705907,0.23540582,0.22910996,0.2250586,0.23863012,0.28284356,0.355772,0.4323177,0.47903082,0.4749194,0.42809263,0.36400285,0.30784726,0.2702299,0.25397196,0.2628355,0.30273497,0.36921751,0.43685293,0.46903494,0.44262323,0.36773086,0.27782434,0.20466562,0.1594559,0.13701423,0.12837106,0.1280802,0.13433208,0.14837025,0.17759337,0.2300144,0.3040757,0.3772432,0.4180647,0.40656376,0.3525389,0.28371492,0.22619842,0.18802027,0.16536687,0.15208052,0.1471249,0.15180129,0.16572742,0.18470372,0.20148246,0.20956759,0.20549427,0.19138992,0.17343946,0.15912265,0.15178187,0.14811651,0.14120741,0.12784016,0.11338038,0.10718449,0.11287507,0.122909196,0.12494922,0.11366721,0.09591197,0.08392925,0.084638424,0.09550796,0.11042371,0.12568523,0.14189236,0.15893425,0.1746477,0.18537165,0.19039018,0.19170785,0.19270909,0.19499128,0.19834395,0.2013811,0.20303087,0.20275794,0.20084868,0.19830848,0.1968142,0.19778769,0.2010938,0.20437558,0.20457806,0.20088117,0.19595188,0.19300592,0.19174568,0.18806922,0.17957145,0.16917084,0.16278441,0.16180108,0.16127093,0.15440889,0.13935317,0.11936595,0.09901946,0.08157474,0.07023365,0.0702193,0.08606725,0.11780391,0.15762256,0.19462831,0.21971633,0.23074286,0.23007977,0.22249906,0.21138169,0.19820915,0.18139027,0.15810533,0.12724183,0.093233384,0.0661918,0.058133204,0.076298565,0.11865318,0.17383863,0.2267508,0.26489446,0.2827059,0.28127626,0.26639327,0.2454383,0.22478755,0.20792119,0.19577812,0.18899731,0.18831868,0.19389951,0.20294215,0.21205749,0.21885283,0.22390534,0.22797948,0.23098819,0.23199797,0.23065974,0.22738816,0.22234495,0.21557604,0.20740052,0.1985821,0.18932994,0.17854248,0.16487603,0.1480277,0.1294505,0.11084533,0.09327835,0.07730582,0.0640648,0.05490755,0.050028373,0.047722127,0.0454865,0.04177575,0.036809612,0.03273614,0.033386555,0.044110876,0.068674184,0.10608099,0.14829218,0.18481167,0.2080638,0.217669,0.21775027,0.21328326,0.20694281,0.19908045,0.18855838,0.17387564,0.15518385,0.13470574,0.11616828,0.10185873,0.09262884,0.08932065,0.09386731,0.10688994,0.12395615,0.13731238,0.14020528,0.13221814,0.11709317,0.099479936,0.08156828,0.06472374,0.05124423,0.043656226,0.0428023,0.04650159,0.053351153,0.064243935,0.08176293,0.10486994,0.12812394,0.14477205,0.15167177,0.15035494,0.14476924,0.13921134,0.13767129,0.1427771,0.15425676,0.1675228,0.17666586,0.17782448,0.1721918,0.16384107,0.15676035,0.15232188,0.14978172,0.14822973,0.14752859,0.14839274,0.15061055,0.15302436,0.1537655,0.15258117,0.15134625,0.15341504,0.16049606,0.17089969,0.1804064,0.18601383,0.18821086,0.19001822,0.19343586,0.19797349,0.20189165,0.2048655,0.20840824,0.21425463,0.22251938,0.23146105,0.23892252,0.24348181,0.2448854,0.24343143,0.23973964,0.23483045,0.23008405,0.22606762,0.22069448,0.2088135,0.1852491,0.1494465,0.108678125,0.075486876,0.06252045,0.0753328,0.109861575,0.15226632,0.18570276,0.19666074,0.1816523,0.14719038,0.1079782,0.08105639,0.08027997,0.108799614,0.15684913,0.20432669,0.23180895,0.22847696,0.19720073,0.14998128,0.10299656,0.06948919,0.056894798,0.06670535,0.09552729,0.13704343,0.1810266,0.21786274,0.24143638,0.25338888,0.25880054,0.2624261,0.26513875,0.26543748,0.2606467,0.24778603,0.22424549,0.18965907,0.14815369,0.10784456,0.077275656,0.06005271,0.053752657,0.052990634,0.055135395,0.06098032,0.072441585,0.0887415,0.10690045,0.12327089,0.13532884,0.14118499,0.13927525,0.12919538,0.11435113,0.10321843,0.10593743,0.1269325,0.1605805,0.19473648,0.21995632,0.2346222,0.2426927,0.24671239,0.24482037,0.23438098,0.21804096,0.20484693,0.20328133,0.21381287,0.22891378,0.24031942,0.24558878,0.24629742,0.24299167,0.23117602,0.20601939,0.16834013,0.12983769,0.10649223,0.10805663,0.12818547,0.14828092,0.15041588,0.12934004,0.09436413,0.060261067,0.039442528,0.03863738,0.060317967,0.10188344,0.15352282,0.20093226,0.2317215,0.24290474,0.23995024,0.23225047,0.22577201,0.22157286,0.21610944,0.20727496,0.19594075,0.18705791,0.18311773,0.18577653,0.19717406,0.22663188,0.27982286,0.35103235,0.41556808,0.45230114,0.4557505,0.44468498,0.4358252,0.43547007,0.43493292,0.43135822,0.43139377,0.4461315,0.47378826,0.4938239,0.48132762,0.42727175,0.3491292,0.27485493,0.22332788,0.19425933,0.17826514,0.16773523,0.16088073,0.15888734,0.16519313,0.18923658,0.24090157,0.3207971,0.40763125,0.47130656,0.49072394,0.47196782,0.43652117,0.40618923,0.3889608,0.38323733,0.3832549,0.3846291,0.38486162,0.3835871,0.38176644,0.3802406,0.37868845,0.3755934,0.36995998,0.36277762,0.35735306,0.35753646,0.3640556,0.37256053,0.37452078,0.36365458,0.3404347,0.31269667,0.28974867,0.27711725,0.27484405,0.27921617,0.28608683,0.29255226,0.2980318,0.30246434,0.3050587,0.3036555,0.29710007,0.2868251,0.2760311,0.26613596,0.2544637,0.23808514,0.21947128,0.20951085,0.21853022,0.24728282,0.2830892,0.31110182,0.32385623,0.32476506,0.32006982,0.3158135,0.3184122,0.33947897,0.3854163,0.4480106,0.49942327,0.51461995,0.48916408,0.44402334,0.40403864,0.38073623,0.3706627,0.3665497,0.36648178,0.37086114,0.37779987,0.38013163,0.37237594,0.35602328,0.34248003,0.34736922,0.38059297,0.43790635,0.49839106,0.5377657,0.54212254,0.5178507,0.4817332,0.44931224,0.4260622,0.4104148,0.39783525,0.3829173,0.36191666,0.33723,0.32379177,0.3397524,0.39216903,0.46087027,0.5133942,0.5254263,0.5014161,0.46229002,0.42905948,0.40842894,0.39769188,0.39188305,0.38847375,0.38659993,0.38554534,0.3843243,0.38154283,0.376011,0.3675858,0.35788932,0.34984985,0.34638977,0.34931946,0.35726735,0.36537826,0.36600533,0.35423675,0.33081758,0.30253878,0.2766589,0.2571917,0.24395269,0.23489077,0.22813225,0.22235034,0.21674484,0.210708,0.20418227,0.19761819,0.1919386,0.18776733,0.18484278,0.18182962,0.17790431,0.17431915,0.17459667,0.18216418,0.19705218,0.21547264,0.23133212,0.24039285,0.24143578,0.23669033,0.22968787,0.22689463,0.23822404,0.27669072,0.3453839,0.4305129,0.50017375,0.5295363,0.51423043,0.47543642,0.4364139,0.4102367,0.39508256,0.38564554,0.3794233,0.3759645,0.37309146,0.36460003,0.34696123,0.32405367,0.31018233,0.32199612,0.36727145,0.435779,0.5013219,0.53858715,0.5380395,0.5117798,0.47920915,0.4548563,0.44133213,0.43543282,0.4318323,0.425524,0.41356358,0.3999555,0.3995311,0.42772695,0.48593512,0.54984564,0.58695,0.5781403,0.5341816,0.47973767,0.4360814,0.4081168,0.39193586,0.38130748,0.37346375,0.36742032,0.36323497,0.35977113,0.35512492,0.3474677,0.3369645,0.3247436,0.31175193,0.29801345,0.28605998,0.27991366,0.28294888,0.29135886,0.2983903,0.29829812,0.29257992,0.28472748,0.27661276,0.2656008,0.24850787,0.22575848,0.20317818,0.1886391,0.18582986,0.19087887,0.19629,0.19699527,0.19337784,0.18742001,0.17964669,0.16908866,0.15689519,0.14730518,0.14634399,0.15698557,0.17786832,0.202013,0.221676,0.22991437,0.22494276,0.2104053,0.19818409,0.20619138,0.25142258,0.33478078,0.43412313,0.5113213,0.5395503,0.5186651,0.47373438,0.43011042,0.40024593,0.3827264,0.37346336,0.36933985,0.3658047,0.3555907,0.33090353,0.28961128,0.2382189,0.19360848,0.18039781,0.2167937,0.301819,0.40482044,0.4874185,0.52209616,0.51294297,0.47866416,0.43932095,0.3995616,0.35707703,0.30967417,0.26268634,0.22668664,0.21393496,0.2366765,0.29775178,0.38480416,0.46489462,0.507003,0.4985275,0.45790002,0.41186318,0.37955245,0.36079025,0.348366,0.33580077,0.32293177,0.31235316,0.3059566,0.30304185,0.30042288,0.29631028,0.29169932,0.29072168,0.29660797,0.30904278,0.3236561,0.332449,0.3277425,0.303996,0.2638605,0.21590304,0.17364411,0.14694338,0.14111145,0.15306288,0.17591952,0.19985336,0.21862394,0.22814186,0.2271206,0.21322004,0.18775384,0.15794474,0.13905156,0.1443129,0.17643559,0.22363806,0.27030018,0.30710196,0.33352122,0.3507079,0.35678935,0.35031024,0.33478817,0.31803417,0.30567756,0.2978412,0.2911562,0.2843858,0.28024182,0.28312227,0.293486,0.30678034,0.3153917,0.31726548,0.31841505,0.33403572,0.37227872,0.42773923,0.4756116,0.4963629,0.48548976,0.46105507,0.43917003,0.4256815,0.41366753,0.40111828,0.39691532,0.41275463,0.448001,0.48309413,0.4962095,0.4797614,0.4465926,0.4151393,0.3958863,0.38817525,0.38587284,0.38409543,0.37991226,0.3745086,0.37266052,0.38501668,0.41867352,0.47088623,0.5211268,0.5472102,0.5375484,0.50328344,0.4635582,0.43436858,0.41849402,0.41201785,0.40931162,0.40777016,0.40686962,0.4070058,0.40787908,0.40841067,0.40735793,0.40439948,0.4001471,0.3958647,0.392593,0.3912736,0.39165524,0.39258316,0.3918706,0.388585,0.38300905,0.37653372,0.37030068,0.36566266,0.36361334,0.36367178,0.3628886,0.35825273,0.34967718,0.3412209,0.33708882,0.3382242,0.34159935,0.3452439,0.3506353,0.36144885,0.37764207,0.3944411,0.40538827,0.40757683,0.4017795,0.39027187,0.37454954,0.35666752,0.33909956,0.32399586,0.31127,0.30253384,0.30507788,0.3307518,0.3828201,0.44560108,0.48821068,0.4873028,0.44351634,0.3801926,0.32232717,0.28241682,0.25877798,0.24687071,0.24432111,0.2504605,0.26064557,0.2673645,0.26472577,0.2553222,0.25119987,0.27055106,0.32268342,0.39716342,0.45874056,0.47360006,0.43143722,0.35929403,0.2946734,0.26262316,0.26129025,0.2762953,0.29245743,0.300892,0.29893652,0.29220393,0.29728475,0.32931033,0.3884958,0.44959235,0.48332116,0.47615096,0.44241038,0.40535477,0.38070884,0.36938444,0.36573648,0.3646872,0.36373338,0.36150336,0.35725284,0.35110506,0.344406,0.33861494,0.3346058,0.33224925,0.3311815,0.3316387,0.3349702,0.3423432,0.3532953,0.36446404,0.37224448,0.375033,0.37514746,0.37573278,0.37841335,0.38162026,0.38318065,0.38253355,0.38177156,0.3832809,0.3871995,0.39063895,0.3898816,0.38345683,0.37336764,0.36341023,0.3554366,0.34793544,0.33847833,0.32830033,0.32258698,0.32489184,0.3326974,0.33800843,0.33582187,0.3263587,0.31494182,0.30474922,0.29990414,0.30725133,0.33845314,0.39566556,0.46274367,0.5064592,0.5025758,0.4516789,0.38006544,0.3150406,0.27096984,0.24661428,0.23826508,0.24529211,0.2689334,0.30514887,0.34335646,0.37156066,0.38471508,0.3886164,0.3971173,0.41975626,0.45220062,0.47414672,0.4682622,0.43510124,0.39573705,0.3703893,0.3625693,0.35999468,0.34921035,0.32618293,0.29327855,0.25745562,0.23002416,0.23142177,0.27583644,0.35771886,0.4412774,0.48965934,0.48759016,0.4554305,0.4219527,0.40465796,0.4002004,0.39833823,0.39170742,0.379349,0.3632681,0.3462906,0.330833,0.3183402,0.30884176,0.30146447,0.29468575,0.28703704,0.27736837,0.26794383,0.26141903,0.26026404,0.26070225,0.2597244,0.25524268,0.25123903,0.24997604,0.25158143,0.25141257,0.24395043,0.22594367,0.1997407,0.17571199,0.16603304,0.17803682,0.20606595,0.23673098,0.2563372,0.2600999,0.25117847,0.2366929,0.22260612,0.21210901,0.20588107,0.20303853,0.20230658,0.20286407,0.20437245,0.20650315,0.20831607,0.20989443,0.21490844,0.23296173,0.2743363,0.3399285,0.41285762,0.46581003,0.47935107,0.45594457,0.41579556,0.37968516,0.35757205,0.34827077,0.34761086,0.35096624,0.3535293,0.3484291,0.33097792,0.30204687,0.27241132,0.2591618,0.28159094,0.344987,0.4362308,0.5202431,0.56718653,0.56342554,0.52449924,0.47134396,0.42212644,0.3802915,0.34600833,0.31785098,0.2962861,0.28294244,0.28265485,0.30661154,0.35990372,0.435083,0.5026448,0.53591824,0.5223312,0.47866917,0.42885315,0.3933667,0.37537208,0.36913922,0.36575875,0.36073563,0.35420692,0.34864315,0.3456607,0.3447539,0.344515,0.34398472,0.3430924,0.34231803,0.3418299,0.3414234,0.3377576,0.32573545,0.29984996,0.26211336,0.22121473,0.18938905,0.17262773,0.16949342,0.173662,0.17963876,0.18488078,0.189077,0.19319333,0.19786613,0.20336197,0.20869637,0.21259743,0.21367525,0.21161048,0.20679583,0.20026678,0.1932345,0.18738012,0.18456213,0.18557386,0.18909676,0.19219422,0.19277698,0.1913588,0.19041212,0.19194724,0.19561948,0.19955003,0.20184135,0.20193131,0.19988324,0.19602852,0.19099636,0.18930785,0.200731,0.23938484,0.30849347,0.39280283,0.45671067,0.4722898,0.4334327,0.36310253,0.2886711,0.23023011,0.19514216,0.18884458,0.2196408,0.2871493,0.37419736,0.44078407,0.4556159,0.41158947,0.3382493,0.2692506,0.226294,0.20714891,0.20211731,0.20183162,0.20173138,0.19818349,0.18788779,0.1699744,0.1478829,0.12860365,0.118375175,0.119147934,0.1274715,0.13750379,0.14461213,0.1474211,0.14713216,0.14550376,0.14357549,0.14095286,0.13650356,0.12976342,0.12320018,0.12262585,0.13387136,0.15758838,0.18635009,0.20843166,0.21514589,0.20700602,0.19325186,0.1857221,0.19108593,0.2073798,0.22660773,0.24117398,0.24803859,0.24888392,0.24709012,0.24529876,0.24457246,0.24431176,0.24255162,0.23558463,0.21940376,0.19316693,0.1633541,0.14163293,0.13595957,0.1415279,0.14441481,0.13393728,0.1131967,0.09482884,0.09010353,0.101974286,0.126774,0.15909345,0.19249195,0.22011046,0.23575556,0.23809011,0.23138791,0.22289826,0.21711546,0.21275117,0.20443577,0.18877232,0.16798472,0.14874727,0.13667452,0.13377105,0.13966614,0.15243141,0.16757149,0.17580248,0.16971733,0.14985768,0.1273941,0.11314968,0.10853798,0.10600528,0.1000261,0.09591809,0.10370866,0.1279999,0.16022885,0.18725626,0.19955331,0.19765979,0.1873302,0.17588323,0.16796504,0.16471611,0.16322142,0.15915884,0.15055914,0.13949549,0.12972914,0.12284851,0.11760675,0.11227917,0.107654214,0.10583544,0.10773119,0.11156935,0.116642244,0.12556076,0.14277525,0.16804408,0.19448233,0.21191601,0.21358804,0.19894463,0.17255218,0.14153643,0.11311835,0.09345912,0.08596628,0.09024229,0.100708276,0.108419396,0.106039785,0.093637876,0.07940341,0.07346321,0.0803014,0.095983446,0.11270207,0.124716796,0.1313681,0.13498057,0.13792254,0.14058982,0.14196171,0.14020622,0.13352858,0.120609105,0.10211248,0.08285657,0.07201397,0.08062776,0.1137412,0.1661065,0.22165482,0.2640586,0.28433952,0.28548947,0.2760276,0.2641407,0.2525286,0.23919769,0.22081228,0.19761519,0.17517237,0.16031921,0.15449357,0.15188892,0.14547491,0.1350506,0.12838726,0.13518077,0.1602443,0.20247804,0.2557911,0.31075165,0.35503173,0.37945542,0.3819834,0.36907664,0.348968,0.3273262,0.30553317,0.28353617,0.26208374,0.24388005,0.23285504,0.23145956,0.23838289,0.24846344,0.25605783,0.25828388,0.2560135,0.25459886,0.26409975,0.29846272,0.3637955,0.44816065,0.51971346,0.5485642,0.52677643,0.47448972,0.42079756,0.3850005,0.3690479,0.36534378,0.36566937,0.36609063,0.36579788,0.3651611,0.3638401,0.36142802,0.35823262,0.35571203,0.35518625,0.35671297,0.3591472,0.36164427,0.36333796,0.36333695,0.35933518,0.35068753,0.33860692,0.32728326,0.31978932,0.31709176,0.3170751,0.31737208,0.3167559,0.3160682,0.31623366,0.31733286,0.3178711,0.31705096,0.3150005,0.31308177,0.31175303,0.3106799,0.30900744,0.3068237,0.30503348,0.30455053,0.3049933,0.30435693,0.29938385,0.28661263,0.26370737,0.23179883,0.19861378,0.17998052,0.19607864,0.2589452,0.3586335,0.4603134,0.5226795,0.52545077,0.4818325,0.42502752,0.38099766,0.3559922,0.34077373,0.32579175,0.30512068,0.27736202,0.2421364,0.20401458,0.17159145,0.15552628,0.16261156,0.19398533,0.24391027,0.30043045,0.34804237,0.37557566,0.38133192,0.37166402,0.35236582,0.3247278,0.28798702,0.24431117,0.19911559,0.1587265,0.13159142,0.13072093,0.17128094,0.25537226,0.36235622,0.45225063,0.4940025,0.4826282,0.4418359,0.39964017,0.3734112,0.36335328,0.36219105,0.36227632,0.3602823,0.3564795,0.35250258,0.34945074,0.34706354,0.3445286,0.3411806,0.3376726,0.33504835,0.33410704,0.333503,0.33141682,0.32686222,0.32166108,0.31832406,0.318113,0.31949583,0.31967947,0.3157436,0.30501652,0.285133,0.2553678,0.219621,0.18589425,0.16303226,0.1543191,0.15644366,0.1621943,0.16595136,0.16507463,0.15873297,0.14612383,0.12774588,0.10604452,0.08613882,0.07282113,0.07098838,0.082548596,0.10661403,0.13610514,0.16216703,0.17758912,0.18193625,0.17883234,0.17262839,0.1651321,0.15700966,0.14981014,0.14645897,0.1489415,0.15591437,0.16315584,0.16617616,0.16268693,0.1526074,0.13761123,0.12052923,0.10479816,0.09314563,0.0869174,0.08742109,0.0956215,0.11058559,0.12655526,0.13615595,0.1352306,0.12645915,0.1158336,0.10812298,0.1052788,0.10763746,0.114917934,0.1245038,0.13238393,0.13480018,0.13165224,0.12560141,0.12046363,0.11832547,0.11872142,0.119297825,0.117552586,0.11301118,0.10684129,0.100931525,0.095848046,0.091220744,0.086235166,0.080838986,0.07566739,0.072012275,0.07111275,0.073760144,0.07926404,0.08569694,0.09028563,0.091230266,0.088344395,0.083251975,0.07794691,0.07346397,0.069679715,0.066360235,0.06448934,0.065400034,0.069274716,0.074069805,0.07681627,0.07528665,0.069339484,0.061559994,0.056769367,0.059687454,0.07039697,0.083005436,0.08866736,0.08373013,0.07300925,0.06813869,0.07838625,0.10502317,0.13943003,0.16990404,0.18801445,0.19304413,0.18934985,0.18268813,0.17673479,0.17298539,0.17140855,0.17152208,0.17267849,0.17403103,0.17448485,0.17250775,0.1660089,0.15216257,0.12934126,0.09967587,0.07072609,0.051641747,0.04692882,0.052979704,0.061766524,0.06860397,0.07485754,0.08488386,0.09921735,0.113936044,0.12378055,0.12730227,0.1265375,0.12420061,0.12043363,0.11440831,0.106343515,0.09955013,0.09720128,0.101095945,0.10928916,0.11823982,0.123381905,0.1217872,0.11350443,0.10186193,0.09167544,0.086396046,0.08699141,0.09313121,0.1035165,0.116019316,0.12595372,0.12905635,0.1241068,0.115070604,0.1076557,0.105229445,0.1071091,0.110605605,0.11409965,0.11852896,0.12596114,0.13777961,0.15293749,0.16906811,0.18359219,0.1949851,0.20259374,0.20612551,0.20550887,0.20099908,0.19388689,0.18630497,0.18031572,0.17685907,0.17559804,0.1759652,0.17751516,0.17992444,0.18214703,0.18268906,0.1797279,0.17164421,0.15673734,0.13418482,0.1055887,0.076876216,0.057074074,0.053874295,0.068429016,0.09378091,0.118703105,0.13330673,0.13301454,0.11900926,0.09690863,0.0743978,0.058110517,0.051389713,0.05443133,0.065989666,0.0839662,0.10403886,0.119881265,0.12621857,0.122695185,0.11355037,0.10403735,0.09690293,0.09364116,0.09611842,0.107091814,0.12627828,0.14942145,0.16943948,0.18091069,0.18178569,0.17368431,0.16042012,0.14665271,0.13667144,0.13327047,0.13757654,0.14810182,0.16150533,0.17319424,0.18006307,0.18078588,0.17602551,0.16676712,0.15434553,0.13965647,0.12385651,0.108514994,0.097074956,0.09374386,0.101473354,0.11917802,0.14197707,0.16370015,0.17967795,0.18809329,0.18931425,0.18495089,0.17669113,0.16603754,0.15423389,0.14281034,0.1334704,0.12778711,0.12615903,0.12772965,0.13067085,0.13370545,0.13657714,0.14025353,0.1455016,0.15244022,0.1598527,0.16632195,0.1705773,0.17277408,0.17372264,0.17449373,0.17462385,0.1720047,0.16384743,0.14932281,0.13217717,0.1190899,0.11599245,0.12223121,0.1314622,0.13475092,0.12699328,0.108467914,0.08438444,0.06156763,0.045967933,0.041662738,0.050620228,0.071872726,0.10010726,0.12635116,0.14243604,0.14528382,0.13811828,0.12686788,0.11647736,0.10860982,0.10238609,0.09633193,0.090249,0.08507445,0.080786265,0.07541132,0.06663926,0.055138048,0.04526617,0.04256523,0.04983185,0.06548976,0.08425155,0.099805474,0.10723897,0.10553348,0.097486995,0.08792215,0.08034759,0.075591095,0.07253889,0.069993295,0.0676947,0.06602001,0.065243244,0.06479564,0.06323602,0.059003893,0.052382115,0.046975806,0.048949897,0.062487226,0.085961305,0.11249882,0.1367049,0.15867698,0.18222708,0.2077285,0.23086195,0.24606049,0.2519708,0.2501815,0.2427169,0.23022924,0.21469755,0.19996889,0.19029856,0.1866933,0.18665041,0.18633,0.18404609,0.18076472,0.17872679,0.178475,0.17852895,0.17600249,0.16930471,0.15818118,0.14375882,0.12751003,0.112362124,0.10254154,0.10144157,0.1080006,0.11547352,0.11616105,0.107637376,0.0954654,0.086910665,0.084787585,0.08624614,0.09020714,0.09928957,0.11665932,0.13825136,0.15541355,0.16072623,0.15493305,0.14398362,0.13505565,0.13145868,0.13363312,0.13965888,0.14778334,0.15564573,0.16096295,0.16134016,0.15609358,0.14695859,0.13733953,0.13010184,0.12561035,0.12298765,0.12186641,0.12332463,0.1274129,0.13235418,0.13538523,0.13562374,0.13374661,0.13089733,0.12645994,0.11945006,0.109675474,0.100899845,0.09825181,0.10542247,0.119140305,0.1323033,0.13789944,0.13510609,0.12731262,0.11974459,0.11536801,0.11545164,0.11976856,0.12806363,0.13931702,0.1516651,0.16245794,0.16936576,0.17122205,0.16775365,0.16001596,0.15027215,0.14263998,0.14046831,0.14507721,0.15378433,0.16279756,0.16845481,0.17003067,0.16815339,0.16460605,0.16004123,0.15478368,0.14851992,0.14159842,0.1341533,0.12614222,0.11694494,0.10634434,0.09520913,0.08543714,0.07906821,0.07683295,0.077894725,0.08063675,0.08386487,0.08687562,0.08816188,0.0854947,0.07738044,0.06529217,0.05294919,0.04441163,0.042566407,0.04960522,0.06643626,0.09104558,0.11729038,0.13765542,0.14690882,0.14471923,0.13427405,0.1202735,0.106397845,0.094384186,0.08413908,0.07543092,0.06906507,0.06611716,0.06621439,0.06729969,0.06754788,0.06693105,0.06662387,0.06729674,0.06870303,0.07071643,0.07410192,0.07976822,0.087637305,0.096232176,0.10350135,0.107430644,0.10668393,0.10099691,0.092704765,0.087124415,0.091065355,0.107975505,0.13482487,0.16273965,0.18311195,0.19216289,0.19222522,0.18819253,0.18471079,0.18430275,0.18742311,0.19267762,0.19787645,0.20131813,0.20252703,0.20208627,0.20085068,0.19919133,0.1962452,0.18970366,0.17720933,0.1588846,0.13923497,0.1255491,0.12416011,0.13640727,0.15795155,0.18054807,0.19643855,0.20191652,0.19890893,0.19237679,0.18649608,0.18222232,0.1783939,0.17389685,0.16881089,0.16378297,0.15936273,0.15608327,0.1543635,0.15432489,0.1546676,0.15381497,0.15033196,0.14527725,0.14081852,0.1398329,0.14288138,0.14874893,0.15488274,0.15978403,0.16310133,0.16535693,0.16673769,0.1673963,0.1670935,0.16595407,0.16368394,0.16080306,0.15768611,0.1548147,0.15060996,0.14222573,0.12697507,0.106501676,0.088213004,0.08312347,0.098993205,0.1343441,0.17790322,0.21468233,0.2343313,0.23509474,0.22291203,0.20631461,0.19260448,0.1846685,0.18128467,0.17883845,0.1748691,0.16971014,0.16614978,0.16686296,0.1723643,0.1800859,0.18555737,0.18492357,0.17743312,0.16615851,0.15621258,0.15162097,0.15353918,0.15995139,0.16786276,0.17459804,0.17931621,0.18230669,0.18466361,0.18724598,0.19021428,0.19311665,0.19481634,0.19499318,0.19331354,0.19071846,0.1872025,0.183679,0.17983854,0.17651625,0.17370385,0.17265503,0.1736235,0.17663443,0.17981227,0.18113972,0.17890263,0.17316292,0.16496527,0.15595376,0.14706527,0.138837,0.13163702,0.12678875,0.12621905,0.1310271,0.14012611,0.15005815,0.15740031,0.16026245,0.15910529,0.1553128,0.15040539,0.14545202,0.14105727,0.13744599,0.1348143,0.13361652,0.13429902,0.13682848,0.14066827,0.14522423,0.15006952,0.15466906,0.15854688,0.16123103,0.1629929,0.16387998,0.16419123,0.16377266,0.16329075,0.16356839,0.1654949,0.16888136,0.17264508,0.17548382,0.1767291,0.17657882,0.17537837,0.17303433,0.16848105,0.16034345,0.14746733,0.1306643,0.11255571,0.0972755,0.08790059,0.08629785,0.09270108,0.10629209,0.123941064,0.14078812,0.15217394,0.15644419,0.1551314,0.15146032,0.14794348,0.14577608,0.14417012,0.1418171,0.1374052,0.13165699,0.12612836,0.122576915,0.121000856,0.12047092,0.119805574,0.1186235,0.11729098,0.11653459,0.11704638,0.118860535,0.121453404,0.12381498,0.1251085,0.12464488,0.12219414,0.117878795,0.11288437,0.10964778,0.11216968,0.12354806,0.1437935,0.16768396,0.18827653,0.20036441,0.20386069,0.20146315,0.19636708,0.19031258,0.18419088,0.17860085,0.1735931,0.16861345,0.16251422,0.1545117,0.14454849,0.13353644,0.123089544,0.11469432,0.10919398,0.10604286,0.104129784,0.10145774,0.09597716,0.085520945,0.0700305,0.05183341,0.035075616,0.022725305,0.015391782,0.011661136,0.009824558,0.008765879,0.008042888,0.0075348807,0.00718406,0.006879426,0.0064792223,0.005912919,0.005250167,0.0046383855,0.0046993475,0.007245486,0.015904784,0.03408728,0.061516207,0.09160782,0.114523254,0.123181276,0.11772159,0.103782035,0.08775837,0.07334874,0.061711386,0.052860286,0.046519443,0.041975558,0.038327884,0.03494309,0.032122638,0.031136712,0.034159105,0.042998623,0.057854384,0.07612014,0.09432182,0.110440455,0.12579484,0.14250036,0.1609176,0.1781956,0.19098939,0.19728379,0.1967002,0.18831645,0.17056076,0.14352114,0.11163034,0.08299176,0.065191224,0.06168725,0.07143254,0.090532534,0.11356747,0.13356645,0.14598292,0.1537093,0.17242847,0.21937895,0.2973363,0.37883747,0.4238678,0.40705574,0.34158644,0.26263544,0.20078163,0.1616698,0.13505657,0.1101683,0.08586859,0.067826964,0.062169176,0.0698217,0.085234635,0.098617636,0.102731675,0.09751851,0.09076323,0.09140388,0.10383741,0.12505707,0.1480155,0.16573425,0.17480612,0.17570038,0.17134385,0.16501878,0.15903968,0.15455066,0.15175016,0.15021017,0.14881843,0.14616251,0.14078633,0.13186173,0.118629366,0.10091564,0.07935219,0.057503846,0.040895656,0.035125524,0.040757213,0.052458573,0.06144612,0.06312028,0.060675766,0.06269293,0.074675284,0.0944356,0.114650376,0.12982233,0.13904844,0.14325605,0.14172776,0.13331632,0.11976773,0.10674417,0.09993028,0.101587586,0.10903006,0.117011994,0.12026981,0.11654988,0.10830613,0.10101244,0.099174745,0.10182989,0.10387835,0.10092647,0.09369261,0.08707726,0.08461878,0.085309975,0.08483227,0.08148124,0.07835766,0.08020324,0.087857954,0.0973712,0.104581535,0.10993592,0.120641194,0.14796643,0.19958289,0.2701501,0.34158787,0.39754537,0.4366454,0.46676466,0.4851996,0.4746225,0.4206476,0.33238292,0.23714502,0.16117568,0.11594724,0.103549264,0.12661652,0.18789406,0.27990857,0.3751041,0.43571842,0.4358474,0.38133237,0.3030937,0.23394561,0.18839918,0.16231482,0.14514804,0.12917049,0.11241305,0.09607512,0.0840641,0.07987726,0.084759355,0.094646275,0.10231466,0.10091278,0.08847273,0.0685259,0.047727477,0.032353867,0.025913632,0.028926583,0.039394792,0.05391146,0.06870101,0.08096001,0.08952888,0.0946933,0.09730113,0.09809527,0.09748275,0.09570232,0.092881896,0.08899677,0.08368299,0.07658872,0.068882994,0.06461685,0.07007361,0.08925802,0.11982342,0.15275241,0.17822056,0.1912495,0.1937296,0.19084013,0.18706022,0.1839631,0.18089396,0.17655559,0.17012574,0.16206844,0.15376656,0.14760657,0.14500014,0.14535123,0.1447665,0.13949023,0.1295432,0.120669045,0.12004811,0.13031518,0.14750467,0.16421069,0.17500721,0.1781764,0.17428912,0.16382967,0.14702345,0.12623702,0.10610014,0.094300024,0.09957241,0.13425092,0.20489784,0.3034594,0.3968735,0.44631684,0.43053746,0.36490884,0.2845467,0.2204835,0.18165421,0.16082124,0.14726721,0.13595027,0.12768164,0.12395003,0.124121584,0.12527934,0.1254585,0.12475044,0.124585606,0.1257885,0.12783097,0.12990709,0.13150513,0.13263471,0.1327291,0.13112892,0.12757663,0.12303733,0.11892287,0.116594404,0.11711607,0.12139326,0.12950784,0.13983828,0.14906012,0.1537335,0.1523303,0.14675243,0.14058702,0.13631433,0.13139223,0.12071412,0.10086211,0.07626123,0.05671556,0.051962793,0.06444245,0.08898417,0.11630851,0.13851756,0.15192272,0.15698527,0.15634696,0.15599497,0.16623382,0.20302278,0.27212867,0.35933855,0.42402944,0.43156853,0.3735783,0.28055817,0.18985285,0.12585667,0.08894423,0.0721374,0.07046891,0.08304957,0.10674763,0.13373156,0.15558587,0.16775005,0.17122103,0.16890903,0.162764,0.15274054,0.13885166,0.12309602,0.11000917,0.10398904,0.10550115,0.10892477,0.10825086,0.105913185,0.117774405,0.16084921,0.23553757,0.3193525,0.38684455,0.4301467,0.45707622,0.46742046,0.44525322,0.3777113,0.27830347,0.18193097,0.11919549,0.097238354,0.102451004,0.11621962,0.12627555,0.12964855,0.12797646,0.12314847,0.11508575,0.103541195,0.08982364,0.07667353,0.06596943,0.057189856,0.04826033,0.037779767,0.026394883,0.016040305,0.008357969,0.0037083856,0.0014194427,0.000511089,0.00022559038,0.00015588355,0.00013985911,0.00013251208,0.00012514817,0.000116753705,0.00010765766,9.777645E-05,8.689658E-05,7.54016E-05,6.442549E-05,5.5088978E-05,4.7878533E-05,4.233982E-05,3.7530277E-05,3.258426E-05,2.724873E-05,2.1883416E-05,1.7167351E-05,1.3566906E-05,1.1203168E-05,9.874974E-06,9.351257E-06,9.388362E-06,9.7812945E-06,1.025886E-05,1.0605077E-05,1.0695544E-05,1.0602303E-05,1.0437169E-05,1.0281784E-05,1.0077624E-05,9.718598E-06,9.03325E-06,7.904402E-06,6.4067067E-06,4.98295E-06,4.26074E-06]