[0.042561494,0.045392662,0.05023117,0.054239552,0.05717032,0.061043005,0.06742478,0.074740954,0.08040863,0.08205708,0.080272816,0.076158494,0.071904965,0.06907014,0.07034248,0.077448815,0.089946024,0.10293919,0.10956334,0.10477794,0.08924141,0.06850507,0.049941853,0.039125998,0.038528502,0.047080517,0.06104817,0.075368404,0.08635506,0.092737384,0.09542984,0.09563813,0.09429423,0.09212481,0.0899961,0.08865864,0.08826581,0.08842359,0.0884461,0.08788729,0.08667948,0.08509222,0.08344785,0.08197987,0.080780625,0.07983023,0.07902055,0.07824635,0.07747641,0.07671092,0.07587794,0.07478804,0.07343646,0.0721775,0.07178781,0.07260571,0.07403406,0.07430983,0.071904354,0.06648087,0.05935737,0.05229759,0.046568766,0.042511586,0.039905664,0.038201258,0.03655555,0.034095585,0.03048642,0.026263438,0.022654591,0.02113028,0.023481363,0.031471882,0.04571536,0.06385035,0.08083192,0.091454454,0.09377285,0.089791186,0.08437603,0.083099164,0.09093174,0.10936034,0.1346659,0.15867902,0.1745457,0.18110967,0.18263166,0.18312788,0.18231036,0.17596056,0.16025323,0.13511135,0.10492709,0.0762757,0.055456836,0.047060072,0.05402862,0.07729502,0.11360463,0.15437092,0.18735403,0.20338184,0.20072807,0.18570061,0.16657548,0.14924766,0.13513748,0.123556904,0.1134214,0.104411006,0.09661186,0.090195574,0.08538869,0.082644574,0.08355615,0.09077627,0.10788294,0.13614465,0.17205344,0.20614935,0.22824155,0.23421656,0.22868477,0.22084706,0.21654947,0.21671756,0.21826655,0.21845102,0.21423142,0.20471191,0.19188266,0.1817181,0.1797248,0.18666029,0.1979435,0.20734449,0.2117964,0.21111758,0.20670645,0.19879358,0.18909214,0.1808346,0.17869814,0.18346429,0.19148971,0.1965846,0.1960481,0.19182427,0.18844943,0.18777883,0.18803883,0.18501866,0.17615487,0.16130786,0.14312813,0.12553559,0.11319079,0.10916457,0.112944424,0.119627915,0.123209454,0.12020343,0.11167724,0.100726694,0.09006619,0.08029535,0.07126535,0.06264079,0.05523255,0.050530385,0.051298242,0.059577584,0.075776376,0.09675333,0.117624514,0.13361304,0.1427797,0.14613396,0.14616649,0.14506997,0.14318502,0.14028044,0.13606073,0.1314001,0.12651272,0.12078553,0.112832494,0.10258359,0.09180409,0.083373,0.07980143,0.081754625,0.0877906,0.09429351,0.09753365,0.09534871,0.088862054,0.08155764,0.07781043,0.080746,0.09072506,0.104935646,0.11856999,0.12807786,0.13277406,0.13428284,0.13362674,0.1304398,0.124659486,0.11809912,0.11426572,0.114842236,0.11830043,0.11985716,0.11605,0.1076409,0.099908255,0.098251104,0.103226095,0.11035942,0.11287569,0.10761862,0.0957973,0.08272848,0.07335555,0.070283495,0.07218062,0.075251184,0.075772,0.072220236,0.06651353,0.06294241,0.06708988,0.08221996,0.10679535,0.13248442,0.1486338,0.14750756,0.12966189,0.10237714,0.07602949,0.059052106,0.055656288,0.06483682,0.08175582,0.10020452,0.11585909,0.12662227,0.13220601,0.13238324,0.12779734,0.1197918,0.11042907,0.10125276,0.09291416,0.08542073,0.07850209,0.07210881,0.06626003,0.06113143,0.056736458,0.053039875,0.049927264,0.047353055,0.045363564,0.044093188,0.04368529,0.044092108,0.04504743,0.046182245,0.04726678,0.048202407,0.048926715,0.0493319,0.049345184,0.04892944,0.048056956,0.046660174,0.04466377,0.041907266,0.038162753,0.033488397,0.028848113,0.026757246,0.030738093,0.044289622,0.06845663,0.10050324,0.13320261,0.15812762,0.17051017,0.17378764,0.17743705,0.18971,0.21009515,0.22994602,0.23911887,0.23306422,0.21415788,0.18880649,0.16465779,0.14662276,0.1355578,0.12727033,0.118971914,0.11317411,0.11744005,0.13623178,0.16496803,0.19281048,0.21029548,0.2160011,0.2144294,0.21079455,0.20617975,0.19801398,0.18368672,0.16452853,0.14683063,0.13954444,0.14825593,0.17123209,0.19842935,0.21792571,0.2220937,0.21164012,0.19313101,0.17390393,0.15883447,0.14917918,0.14568175,0.14830951,0.15711342,0.16946785,0.18256594,0.19366913,0.20199777,0.20637399,0.20524399,0.19698136,0.18143861,0.16026783,0.1366104,0.11472184,0.09882263,0.09129807,0.09119276,0.09464564,0.097062856,0.09563261,0.090256505,0.08302619,0.076690964,0.07342959,0.07405891,0.07820747,0.085837066,0.09812858,0.116487294,0.13881464,0.15859097,0.16789633,0.16364272,0.1496848,0.13448542,0.12574556,0.12694909,0.13615018,0.14744473,0.15415634,0.15250586,0.14379607,0.13377966,0.13049163,0.14029045,0.16414785,0.19498545,0.22112267,0.23352915,0.23187427,0.22239836,0.2110523,0.20015769,0.19124769,0.18717402,0.18841638,0.18848038,0.1787368,0.15890236,0.14236741,0.14611639,0.17575644,0.21898897,0.25557443,0.27179572,0.26788977,0.25179568,0.23138328,0.21008551,0.19152515,0.1802705,0.18068439,0.19116028,0.20512176,0.21483557,0.21660478,0.21106134,0.20081945,0.18864274,0.17698401,0.16801597,0.16261855,0.15971512,0.15670234,0.15100001,0.1417995,0.13080417,0.12190485,0.119139366,0.12505832,0.1388299,0.1569476,0.17407435,0.18630172,0.19188118,0.19105692,0.18347983,0.1687484,0.14908926,0.13184096,0.12671323,0.13905154,0.16487522,0.19271821,0.21061736,0.21283622,0.20109092,0.18203409,0.16221868,0.14544354,0.13131903,0.11809804,0.10482729,0.0930866,0.084828325,0.081327915,0.08317187,0.09206375,0.10997036,0.13611585,0.16433506,0.18546037,0.19409685,0.19328086,0.19199847,0.19549493,0.19994204,0.1946065,0.17268069,0.13663042,0.09759607,0.06755925,0.054059923,0.058210444,0.07561712,0.09931642,0.121848464,0.13900031,0.15022124,0.15846252,0.16599774,0.17275734,0.17603646,0.17550378,0.17482595,0.18092124,0.19636701,0.21709491,0.23401028,0.24191199,0.24229139,0.24119419,0.24161915,0.2421401,0.23906179,0.23090707,0.21726942,0.19879645,0.17752583,0.16031687,0.15468071,0.16265051,0.17556418,0.18058024,0.17020017,0.14850545,0.12730043,0.1178943,0.12477825,0.14417303,0.16830905,0.19033958,0.20827897,0.22274722,0.23474653,0.2424262,0.244412,0.2401119,0.23270041,0.2251596,0.22012012,0.21690232,0.21384281,0.20871563,0.20060576,0.19032562,0.18111889,0.17797802,0.1844819,0.1998203,0.21796338,0.23123132,0.23375577,0.22464006,0.20819545,0.19403718,0.19153552,0.2040082,0.22273135,0.23308444,0.22253948,0.19062857,0.14696895,0.10770158,0.08717244,0.092824735,0.12124135,0.15997128,0.19544186,0.21967655,0.23297586,0.23866583,0.23962377,0.23712228,0.23311333,0.23013462,0.22902755,0.2278379,0.22326522,0.21455123,0.204692,0.19869302,0.19936265,0.20514882,0.21113946,0.21250808,0.20729445,0.19797249,0.19025414,0.18992276,0.19746065,0.20638113,0.20700616,0.19422169,0.17128296,0.14784975,0.13398428,0.13587643,0.1514049,0.17069365,0.17910682,0.16859896,0.14246477,0.11449319,0.09700913,0.09515398,0.1060158,0.12405994,0.14298873,0.15660869,0.16070892,0.1554823,0.14623116,0.13894244,0.13683458,0.13790332,0.1376814,0.1319174,0.12008358,0.105275206,0.0920679,0.08347187,0.07951507,0.07861292,0.07865208,0.07907779,0.081772365,0.09216956,0.11532193,0.15030885,0.18745542,0.21426868,0.2256196,0.22606574,0.22476651,0.22606622,0.23036362,0.23616093,0.24366696,0.2514682,0.25666764,0.25616112,0.24888878,0.23581147,0.2186398,0.20116164,0.18869169,0.18575513,0.19130702,0.19800787,0.19781397,0.1886235,0.17728978,0.17384703,0.18337484,0.20082282,0.21379755,0.21194081,0.19374454,0.16816555,0.14746676,0.14035438,0.14648545,0.15747999,0.16335051,0.16055001,0.15690534,0.16398399,0.18762481,0.22012836,0.24855113,0.26314023,0.26424137,0.2568162,0.24688466,0.23857039,0.23527865,0.23739685,0.2412918,0.24016495,0.22838259,0.20425631,0.17175984,0.14008607,0.12169769,0.124717236,0.14705189,0.17607331,0.19939043,0.2120197,0.21712644,0.21817534,0.21707278,0.21524076,0.21627374,0.22239204,0.23202838,0.23973374,0.24041218,0.2316051,0.21461134,0.19354112,0.17448999,0.16257657,0.15940768,0.16229342,0.16702132,0.17069204,0.17255287,0.17293221,0.17225389,0.1707149,0.16781479,0.16283144,0.15623105,0.15180951,0.15452768,0.16662954,0.18331738,0.19611059,0.1982404,0.19018447,0.17812878,0.16966091,0.16860832,0.17335887,0.17848139,0.17865513,0.1713906,0.15738416,0.13877214,0.1182893,0.09926938,0.085585125,0.08018812,0.08293002,0.0901104,0.09635153,0.09797933,0.09462372,0.08906651,0.08591957,0.090991996,0.1082409,0.13699703,0.16972284,0.19740446,0.21436332,0.22249351,0.2266674,0.23151787,0.23795529,0.24547084,0.25289774,0.25956872,0.26405713,0.26469275,0.26063475,0.25388387,0.24848832,0.24806361,0.25219488,0.2567059,0.25623897,0.24847566,0.23504192,0.22008891,0.20749904,0.19921996,0.1952561,0.19398719,0.19278736,0.188245,0.17792495,0.16261385,0.1479878,0.14195907,0.1496955,0.16890989,0.19141193,0.2081247,0.2148449,0.21251535,0.20479304,0.19438435,0.18248606,0.16895252,0.15448812,0.14117496,0.13321073,0.13323264,0.14037794,0.14893346,0.15375309,0.15357858,0.15179668,0.15079208,0.14858134,0.14052851,0.12475214,0.10502555,0.087769926,0.077322565,0.07355742,0.073197134,0.073385425,0.07401819,0.078845374,0.092577964,0.11630132,0.14415741,0.16479576,0.16898508,0.1552683,0.13228346,0.112580545,0.106726326,0.11706254,0.13767079,0.15713567,0.16566463,0.1602826,0.14581221,0.13066052,0.12173552,0.12257608,0.1327994,0.14887953,0.16351515,0.16900837,0.1608797,0.14200556,0.1209895,0.10750029,0.10640051,0.11503991,0.12581031,0.13121383,0.1290208,0.12223053,0.11625803,0.1143382,0.11681222,0.122021265,0.12994432,0.14088035,0.15444992,0.16571374,0.16993207,0.16492598,0.1549439,0.14476353,0.13720195,0.13047282,0.12263841,0.113803186,0.108275406,0.11048722,0.12101748,0.1337439,0.14092378,0.13945653,0.13314123,0.12812649,0.12702312,0.12838317,0.12914361,0.12791497,0.12485149,0.12089232,0.116774075,0.112852044,0.109158754,0.10547641,0.101616435,0.09751543,0.09327629,0.089056484,0.085054986,0.081550755,0.07892575,0.07745553,0.07696744,0.07687435,0.07704624,0.078894,0.08500353,0.09793737,0.118884586,0.14899574,0.18780662,0.23226945,0.27339366,0.30255792,0.3156359,0.3172771,0.31306383,0.30550078,0.29255453,0.2737714,0.25278607,0.23544592,0.22560044,0.22240186,0.22215432,0.22375387,0.23393387,0.26800978,0.33409157,0.4191195,0.484188,0.4947482,0.4459981,0.37075308,0.30837962,0.2787182,0.27458262,0.2784865,0.27825,0.27188662,0.2639856,0.25921226,0.25900587,0.26135525,0.26335278,0.26369667,0.26055288,0.2514441,0.23255603,0.20487271,0.17304885,0.1446673,0.12378978,0.11163957,0.1075027,0.111657135,0.1254908,0.14877112,0.17808022,0.20549192,0.22446322,0.2340802,0.24398537,0.26950896,0.32278135,0.39816213,0.4690157,0.49990043,0.47306788,0.4010397,0.31770018,0.25517324,0.23281091,0.2578109,0.32247117,0.39860606,0.44222918,0.42343366,0.35029173,0.26401448,0.20504265,0.18591684,0.19431956,0.20990503,0.21967149,0.2165696,0.19993335,0.1726458,0.14213274,0.115197994,0.09712062,0.09079561,0.098655485,0.12009985,0.15004171,0.17864902,0.19743909,0.20335238,0.20311107,0.21048199,0.24345052,0.30993655,0.3977994,0.47197142,0.49729097,0.46204087,0.38743618,0.30983052,0.25702104,0.23635344,0.23725508,0.24303186,0.24042164,0.2269112,0.20975925,0.19970644,0.20357437,0.22048686,0.24518888,0.27016103,0.28854838,0.29339454,0.28212208,0.2583514,0.2319848,0.21206754,0.20221569,0.20011996,0.20197351,0.20485844,0.20700723,0.2073495,0.20946981,0.22336036,0.26341572,0.33110318,0.40612814,0.44935048,0.43592104,0.37371638,0.30043846,0.2488117,0.22723144,0.22241485,0.22274448,0.231556,0.26566026,0.33369243,0.41995898,0.4819901,0.4827982,0.41736433,0.32017627,0.23384923,0.18400411,0.17136109,0.18487285,0.21163946,0.23883726,0.25595614,0.2565599,0.24206387,0.21752523,0.1899652,0.16516806,0.1495182,0.14713629,0.15831931,0.17710556,0.19528109,0.20630251,0.20947051,0.21171792,0.22762583,0.2729725,0.34778526,0.4266723,0.46796772,0.44681135,0.37347794,0.28556284,0.21579005,0.1752853,0.15737242,0.15375473,0.16211921,0.18218343,0.21066123,0.23856659,0.25772342,0.26429185,0.26172528,0.25487912,0.24543197,0.2298881,0.20317632,0.16553222,0.12326443,0.08714744,0.06454425,0.057872605,0.064016305,0.07812851,0.094577454,0.10802383,0.11522617,0.11723581,0.1199612,0.13129504,0.15880139,0.2093428,0.28410596,0.370774,0.43883952,0.45706582,0.41658613,0.34186733,0.27242658,0.23935847,0.2548673,0.31377572,0.3945326,0.46039185,0.47556618,0.42944518,0.34578982,0.2647812,0.21437038,0.19839107,0.20302236,0.21118252,0.20989554,0.1949048,0.16992475,0.14415608,0.12482559,0.1141045,0.11000067,0.11131699,0.11876627,0.13286312,0.15073502,0.16746563,0.17968827,0.1885947,0.20002262,0.22347768,0.26995775,0.3411365,0.41970718,0.46948934,0.4616731,0.3975124,0.31100622,0.23976266,0.20112562,0.18812282,0.18583558,0.1840082,0.17965381,0.1735224,0.1672976,0.1632428,0.16315998,0.16802536,0.17685014,0.18554907,0.18740357,0.17511226,0.1476466,0.11139589,0.07854553,0.057623252,0.050666746,0.052967533,0.058968604,0.06433696,0.06734901,0.06919128,0.0774043,0.10700452,0.17211755,0.26806322,0.36163783,0.40645227,0.37734708,0.29007542,0.18824135,0.109698236,0.06705985,0.05282928,0.059159383,0.08950836,0.15567546,0.25739226,0.37012956,0.4494301,0.4652628,0.42131642,0.35336056,0.29570407,0.2647847,0.2571449,0.26405668,0.2760218,0.28488314,0.28529885,0.27772045,0.2676643,0.2604725,0.2584281,0.26112935,0.26795065,0.27755356,0.2868547,0.29109332,0.28788897,0.27958652,0.274828,0.28543812,0.32361928,0.3913825,0.47225094,0.5305385,0.5339127,0.47736013,0.3903613,0.3127875,0.2683861,0.25545576,0.25997996,0.26965353,0.27803195,0.28173655,0.278764,0.27106038,0.26484022,0.2675006,0.281431,0.30020893,0.31082174,0.3008038,0.26721218,0.21953802,0.17480879,0.14886342,0.14789617,0.1685418,0.19987136,0.23139727,0.25382656,0.26077858,0.24810202,0.21968712,0.18969126,0.17833845,0.20132978,0.2629559,0.3510877,0.4386936,0.48947105,0.48017386,0.41638067,0.3323526,0.26735866,0.24618058,0.2760049,0.34599602,0.42840376,0.4789745,0.46467927,0.38469386,0.27540922,0.18001284,0.12503462,0.11494825,0.1415548,0.1907596,0.24065264,0.27113304,0.2716962,0.25095704,0.2251247,0.21000129,0.21092172,0.22719629,0.2526386,0.28037927,0.302894,0.3158205,0.31760797,0.31028023,0.30046558,0.30157876,0.3288061,0.38446787,0.44820905,0.48582542,0.47546005,0.42322728,0.3557903,0.2976183,0.2587247,0.23778193,0.23139167,0.23703535,0.25085828,0.26616916,0.27642706,0.279192,0.27823213,0.28016695,0.28932503,0.3023416,0.3098751,0.30273294,0.2810947,0.25507897,0.23879586,0.23909016,0.2524593,0.2681439,0.276593,0.2724748,0.25521237,0.22933912,0.2078303,0.21113026,0.2531136,0.32532048,0.3936604,0.4227688,0.40096033,0.3473409,0.29014018,0.24635242,0.21720177,0.20043962,0.20046973,0.22801788,0.2886962,0.36981252,0.4386839,0.45959067,0.4198666,0.33963394,0.2577679,0.2050094,0.19077323,0.20546006,0.2328915,0.25817108,0.27299416,0.27574122,0.27024177,0.26125517,0.25227717,0.24526139,0.2419749,0.24292219,0.24550861,0.24423297,0.23492338,0.21901119,0.20324779,0.19761251,0.21226759,0.25703222,0.33008537,0.41053167,0.45920956,0.44689474,0.37630644,0.28279832,0.20489556,0.15986681,0.1420383,0.13810878,0.14031558,0.14604509,0.15345588,0.15807052,0.15635,0.14911467,0.14303212,0.14576572,0.15865295,0.17453162,0.18247986,0.17882149,0.16854234,0.16019632,0.15586214,0.15197945,0.14501457,0.13673234,0.13145153,0.13067873,0.13170087,0.13114561,0.12928414,0.13046987,0.1420774,0.17337179,0.23165609,0.3109626,0.38449788,0.414247,0.37950397,0.29475418,0.20061965,0.13634704,0.123625875,0.16726027,0.25460503,0.35272837,0.41360506,0.40424892,0.3296598,0.23012014,0.14859645,0.10616105,0.09972764,0.11422268,0.13364851,0.14442234,0.14092349,0.12509929,0.10509366,0.08757884,0.07741923,0.07841676,0.094149865,0.12403379,0.16008477,0.19080819,0.20779784,0.2110463,0.20592318,0.19874007,0.1931221,0.19056636,0.19058843,0.19128184,0.18985128,0.18482977,0.17699815,0.1686242,0.16165738,0.15665255,0.15357985,0.15194185,0.15152334,0.15188067,0.15325582,0.15637599,0.16164279,0.16810018,0.17247857,0.17112368,0.16071746,0.1409651,0.11429394,0.08641249,0.06332205,0.04934914,0.045680553,0.051812977,0.066447824,0.08701434,0.10869324,0.12578106,0.13476457,0.13619123,0.13336842,0.12949984,0.12595333,0.12254584,0.11873951,0.11437159,0.10963902,0.104790546,0.100040674,0.095583804,0.091716476,0.088688254,0.086643726,0.08530474,0.084163815,0.08345523,0.085117616,0.092515856,0.10679457,0.12541448,0.1428381,0.15719187,0.17035128,0.18592209,0.20215034,0.21470219,0.22001778,0.21979463,0.21711177,0.21395122,0.21019119,0.20614122,0.20281632,0.20108359,0.2007602,0.2007978,0.19853318,0.1909988,0.18030638,0.18102933,0.21472974,0.28966525,0.3827404,0.4491824,0.4565074,0.40872815,0.33813414,0.2755481,0.23263581,0.20570953,0.18904875,0.17983933,0.17674387,0.17698003,0.17837287,0.17983054,0.18316714,0.19124728,0.20736708,0.23011553,0.25237665,0.26344183,0.25821963,0.24076326,0.22127652,0.20736776,0.20007513,0.19696903,0.19522631,0.19366647,0.1895147,0.18143691,0.171107,0.16510035,0.17017572,0.19072212,0.23119724,0.29298976,0.36797106,0.42951158,0.44827113,0.41184607,0.33803096,0.2590892,0.20525461,0.19594835,0.2381423,0.31876576,0.40083802,0.44132593,0.42013052,0.35343337,0.27615562,0.21534969,0.17977399,0.16616704,0.16801433,0.17628781,0.18203668,0.1800164,0.17333686,0.16837764,0.16943,0.1749985,0.18255228,0.19158405,0.20302846,0.21544273,0.22435929,0.22773935,0.22851658,0.23598075,0.26047423,0.31132254,0.3862013,0.4663994,0.518899,0.51940113,0.46969676,0.39716443,0.3321861,0.29003906,0.26962078,0.26314473,0.2639823,0.2675185,0.2705485,0.270864,0.2673361,0.26006722,0.250774,0.24377875,0.24300374,0.24907728,0.25513533,0.25226688,0.23363556,0.20306383,0.17148925,0.15405345,0.15739322,0.17651962,0.19579154,0.20323408,0.20025826,0.20307909,0.23169778,0.29525366,0.38154185,0.4584714,0.4908954,0.46441802,0.39428017,0.3129196,0.2449405,0.19801064,0.16917598,0.16112281,0.18380953,0.24721365,0.3418938,0.43599188,0.48593786,0.46853772,0.39516738,0.30436036,0.23233892,0.19620906,0.19425495,0.21531703,0.24455495,0.26633394,0.27088937,0.2588836,0.23937662,0.22211045,0.21198045,0.2103845,0.21672446,0.22915328,0.24212451,0.24858408,0.24359459,0.2279308,0.20930427,0.20135081,0.22197838,0.28027707,0.36410984,0.43589446,0.4578297,0.4188478,0.34417105,0.27148867,0.22476202,0.20500755,0.20131783,0.20294116,0.2038811,0.20150115,0.19544661,0.18715328,0.17937143,0.17562927,0.17914908,0.19163126,0.21049511,0.22813661,0.23466699,0.22364813,0.19754207,0.16629297,0.14276636,0.13479728,0.14428824,0.16684307,0.19610453,0.22357555,0.24265166,0.2494346,0.24580081,0.23854257,0.24015129,0.26626846,0.32347074,0.3972825,0.4507536,0.45212877,0.39853945,0.3197034,0.25176576,0.21834071,0.23013131,0.28631452,0.3700333,0.44134855,0.46134698,0.41769695,0.33766112,0.26204085,0.21927959,0.21254979,0.22852682,0.24986137,0.26286086,0.26388803,0.25646845,0.24835365,0.24216731,0.23740064,0.23253822,0.23014063,0.23287256,0.24044758,0.2483877,0.2523767,0.25090596,0.24675445,0.2473104,0.26503837,0.31128713,0.38236132,0.45190072,0.48233393,0.45435652,0.38273773,0.30584005,0.25506103,0.23765862,0.24019319,0.24519186,0.2419806,0.22933583,0.2124234,0.19924933,0.19653434,0.20688792,0.22806208,0.25459322,0.27907097,0.2925593,0.28667152,0.2590184,0.21783708,0.17880166,0.15513705,0.14948726,0.15602429,0.16837585,0.18400116,0.20141536,0.21803607,0.23506498,0.26319847,0.31436217,0.383669,0.44080564,0.4509575,0.40505293,0.3284953,0.25750425,0.20994782,0.18060617,0.1578303,0.14317556,0.15401125,0.20838356,0.30201387,0.39960334,0.45420322,0.4425156,0.38002506,0.30495283,0.24646263,0.2148277,0.20685492,0.21798532,0.23887883,0.25675905,0.25930607,0.24587595,0.22552218,0.20828165,0.19669761,0.18843299,0.18325436,0.18336082,0.1881333,0.19186795,0.19020985,0.18762523,0.19675648,0.23135905,0.29737148,0.38599,0.47080788,0.51651716,0.5010038,0.43352494,0.3490288,0.28170145,0.2437159,0.22896151,0.22824967,0.23725481,0.25141457,0.26231933,0.2630093,0.25360206,0.24167989,0.23433965,0.23560365,0.24373482,0.25462165,0.25985247,0.25296813,0.23262584,0.2081028,0.19182844,0.19204128,0.2059999,0.22548847,0.24220784,0.2527236,0.2558168,0.25303283,0.24684225,0.2421558,0.24448295,0.26242128,0.30336383,0.36419895,0.4211469,0.4389875,0.3980359,0.31367043,0.22701661,0.17603052,0.17742477,0.22894774,0.313257,0.39838064,0.44156468,0.41527745,0.32704127,0.21730328,0.12886055,0.08369056,0.07988041,0.10249517,0.13357854,0.15626101,0.1618772,0.15157668,0.13475245,0.11986258,0.11215367,0.11438256,0.12941001,0.15676291,0.18997778,0.2185834,0.23592174,0.24288486,0.24700177,0.25804672,0.2869084,0.339838,0.40965116,0.47179937,0.49782822,0.47771084,0.42719176,0.3740823,0.33632484,0.31656992,0.30935493,0.3106636,0.3171004,0.32315636,0.3214128,0.30901873,0.29006457,0.27339342,0.2653021,0.2666069,0.27275014,0.2763751,0.27060047,0.2517731,0.22323547,0.1926394,0.16832654,0.15325485,0.14673014,0.1461326,0.14962336,0.15461938,0.16201384,0.18057966,0.22708769,0.3069939,0.39901173,0.4570787,0.44696295,0.37277475,0.2764257,0.2009318,0.16360636,0.15312493,0.1531099,0.1614201,0.19450307,0.26460448,0.35848495,0.43172297,0.44225344,0.38138056,0.2822278,0.18960829,0.13237208,0.115784176,0.1310067,0.16457552,0.19995731,0.22395343,0.2310205,0.22640365,0.21857513,0.21341294,0.21160792,0.21128654,0.21028103,0.20644534,0.19810747,0.18437757,0.16567264,0.14332236,0.119987726,0.10095381,0.09363696,0.1040018,0.1313427,0.16770266,0.20225072,0.22785176,0.24310295,0.25055483,0.25313306,0.25312376,0.252079,0.25149667,0.25193074,0.25304818,0.2535907,0.2527648,0.25037107,0.24686427,0.24264397,0.23817636,0.23403044,0.2305615,0.22729868,0.22291376,0.21622102,0.20704688,0.19608189,0.1841024,0.1717373,0.15990627,0.14987664,0.1425177,0.13760044,0.13394673,0.1302921,0.12597384,0.12105209,0.11601802,0.11143137,0.10776577,0.10530647,0.10408362,0.1037261,0.10382033,0.104658134,0.10791091,0.11549038,0.12747835,0.14089572,0.15233015,0.16094439,0.16865794,0.17546906,0.17731957,0.1697138,0.15462679,0.14145643,0.13993548,0.15254228,0.17291512,0.19217475,0.20380354,0.206104,0.19962041,0.18704565,0.17139466,0.15546925,0.13906874,0.121258385,0.10349048,0.09265894,0.096434,0.11740143,0.14941631,0.18204844,0.20659961,0.22014153,0.22460248,0.22324598,0.21791537,0.20782654,0.19176601,0.1708739,0.15025961,0.13651663,0.1322766,0.13305974,0.13018392,0.11922985,0.10567456,0.10169148,0.11596203,0.14622687,0.18092461,0.20820083,0.2227071,0.22700846,0.22604068,0.22303288,0.21668798,0.2046115,0.18628292,0.16590923,0.14926521,0.13973503,0.13544609,0.1318476,0.12569854,0.11717183,0.10849288,0.101640694,0.098127596,0.098977275,0.10444523,0.111900814,0.11659207,0.113916986,0.102858156,0.086059175,0.068139955,0.053166166,0.04336171,0.03865469,0.03730615,0.03711191,0.037114415,0.038343415,0.04441106,0.05994552,0.088796586,0.12961735,0.17519826,0.21383746,0.23694085,0.24281491,0.23809749,0.23115063,0.227484,0.22599334,0.22217876,0.21228588,0.19715472,0.18168889,0.16989422,0.16473971,0.17084342,0.2014916,0.2677954,0.36372232,0.45544806,0.504195,0.49492326,0.44951072,0.40362087,0.37978372,0.37662807,0.38201687,0.3855516,0.3845414,0.3795066,0.37250438,0.36449626,0.35721207,0.35207805,0.35118678,0.35483313,0.36152264,0.36644864,0.36393002,0.3491516,0.32218775,0.2867435,0.24952036,0.21684045,0.19707422,0.19717456,0.21943884,0.25556633,0.2916546,0.31644616,0.32734185,0.3300558,0.33529028,0.35755694,0.40360257,0.462159,0.5000798,0.48792502,0.4225029,0.333033,0.25718436,0.22160117,0.237804,0.30115125,0.38921618,0.45879582,0.4736247,0.4266348,0.34933862,0.28071734,0.24382268,0.23753412,0.251238,0.27376553,0.29520285,0.307197,0.30609572,0.29543874,0.2822418,0.272117,0.26719353,0.26679683,0.26897076,0.27017033,0.26724148,0.25891533,0.24789572,0.24000911,0.24359071,0.26849094,0.32127526,0.3956623,0.46670976,0.50126016,0.4823674,0.4240621,0.36101365,0.32149562,0.31108877,0.3187282,0.3305134,0.3380731,0.33621934,0.32357883,0.30396858,0.28616658,0.27758944,0.27830425,0.28384078,0.289513,0.29498184,0.2994207,0.30114356,0.296095,0.2828506,0.2629971,0.2427149,0.23017614,0.23074166,0.24254857,0.25526932,0.26091316,0.26250228,0.27864403,0.32451406,0.39475092,0.4561391,0.4744656,0.44042408,0.37861502,0.32273388,0.2919499,0.28286383,0.28404853,0.29027784,0.309075,0.3498657,0.40888396,0.46125802,0.47641122,0.4425808,0.3770058,0.31163895,0.26980934,0.25748315,0.2673649,0.2879419,0.30721495,0.31696936,0.31528965,0.30684462,0.29774198,0.2914903,0.28812107,0.2870064,0.28788984,0.29017004,0.29125825,0.2877233,0.27749595,0.2618429,0.24725933,0.24629728,0.27531478,0.3395437,0.4201487,0.47516862,0.46986285,0.4036169,0.31156966,0.23498525,0.1947032,0.18857618,0.2036413,0.22742479,0.24809359,0.25748947,0.2539343,0.24489664,0.24083622,0.24800639,0.26529744,0.28479615,0.2961245,0.28879187,0.2597492,0.21517706,0.16965254,0.13576075,0.11943314,0.1197807,0.13539025,0.16418064,0.20146213,0.2376725,0.26454166,0.27945122,0.28762802,0.29776183,0.32027754,0.3619022,0.41842654,0.46878603,0.4851061,0.4541966,0.38990417,0.32264045,0.27807114,0.26844916,0.29721427,0.35783324,0.42691776,0.46531153,0.4446746,0.36957455,0.27644807,0.20369767,0.16941322,0.16944952,0.19006789,0.21742435,0.23970771,0.25054935,0.24999116,0.24419643,0.23810585,0.23251532,0.225133,0.2160037,0.20933105,0.20893748,0.21417564,0.21892293,0.2186416,0.21593465,0.22277753,0.2545233,0.3170465,0.39617574,0.45801222,0.47071502,0.42701924,0.35133234,0.2791259,0.23323812,0.21435745,0.21097349,0.21184225,0.21143593,0.20841594,0.20339912,0.19847083,0.19654417,0.20076144,0.21274747,0.23097833,0.24890591,0.2563043,0.24499609,0.21509914,0.17578721,0.13921164,0.113736026,0.10276523,0.10715837,0.12676083,0.15760243,0.19108577,0.22035992,0.24944425,0.29460475,0.36540234,0.4473416,0.50098187,0.49467218,0.42970622,0.3410519,0.26577032,0.22054349,0.20065479,0.19787407,0.21205251,0.25182,0.31950608,0.40127015,0.4645063,0.48145428,0.44670257,0.38355836,0.32262817,0.28466544,0.27419183,0.28490368,0.3055022,0.32165504,0.32397175,0.31193742,0.2954907,0.28367546,0.27871108,0.2748983,0.26864478,0.26193556,0.26059714,0.2661308,0.27438822,0.2779418,0.27226126,0.26022747,0.25551727,0.276865,0.3320465,0.4033542,0.45431462,0.4571168,0.41465452,0.35530886,0.30800393,0.2841877,0.27924815,0.283857,0.29101285,0.2962315,0.2963362,0.29092205,0.2832302,0.27871287,0.2804596,0.28735065,0.29418772,0.29482722,0.28429148,0.26285002,0.23753071,0.22052002,0.22067736,0.23712699,0.25914606,0.27508977,0.2803968,0.2789088,0.277128,0.27858317,0.28269055,0.28833723,0.29845127,0.32210436,0.36687323,0.42681333,0.4767562,0.48751593,0.4495325,0.38163865,0.3171594,0.2817602,0.2874956,0.3328378,0.40395626,0.47091985,0.50050914,0.47677526,0.41406396,0.34451684,0.2950575,0.27454802,0.27638662,0.28815725,0.29637638,0.2925019,0.27503136,0.25179046,0.23175718,0.21993357,0.21401383,0.21089418,0.21021174,0.21435033,0.22338915,0.23315139,0.238254,0.23606008,0.23093067,0.23338206,0.25921053,0.31566942,0.39280283,0.45944157,0.4871069,0.46826634,0.42280772,0.37675503,0.34540388,0.32920292,0.32257462,0.32086226,0.3206707,0.3195221,0.3160515,0.3113432,0.30773354,0.3067701,0.3085492,0.31098744,0.31188682,0.30740437,0.2956028,0.2745708,0.2460937,0.21315259,0.18308781,0.16453561,0.1654358,0.18675797,0.2210906,0.25686893,0.2882081,0.32182655,0.36981925,0.43297824,0.48884764,0.5059606,0.46961072,0.3981667,0.32679152,0.2813752,0.26284528,0.25765586,0.25635174,0.26511547,0.29987848,0.367372,0.45125374,0.515945,0.53232926,0.4979354,0.43665907,0.37712988,0.33574665,0.3146318,0.308535,0.31069732,0.3140358,0.31415856,0.30949602,0.3006307,0.287367,0.26977727,0.25072643,0.23604639,0.23197071,0.23986757,0.25612083,0.27299252,0.28484705,0.2886059,0.285731,0.2776262,0.26701114,0.25540832,0.24612439,0.24096948,0.24136056,0.24519306,0.24990922,0.25181732,0.2494952,0.24216712,0.23115243,0.21766645,0.20438768,0.19464804,0.19302368,0.2014213,0.21682666,0.23124135,0.23812805,0.23737301,0.23449552,0.23333305,0.23170012,0.22434355,0.20944397,0.19048905,0.17332417,0.16283512,0.16226214,0.17156763,0.18589711,0.19625509,0.19625823,0.18622464,0.17218007,0.15906148,0.14890136,0.14321446,0.14551853,0.15858443,0.17995323,0.2018866,0.2159006,0.21768557,0.20806533,0.19132751,0.1732186,0.16041645,0.15844296,0.16934556,0.18907015,0.21027245,0.22618842,0.23492943,0.23792438,0.23751907,0.23363431,0.22449805,0.2078319,0.18436854,0.15842743,0.13797586,0.13025269,0.138699,0.16001476,0.18586712,0.20692702,0.21745253,0.2176693,0.21127282,0.20225896,0.1921214,0.18156461,0.17238474,0.1678464,0.16952264,0.17497544,0.17906211,0.17812128,0.17242193,0.1648915,0.15792586,0.15167522,0.14486642,0.1368164,0.12927249,0.12552102,0.12822868,0.13631278,0.14627253,0.15490538,0.16325194,0.17418237,0.1893955,0.20543438,0.21677876,0.21850891,0.21019386,0.19461429,0.17672288,0.16111504,0.15088035,0.14730494,0.14945632,0.1550675,0.16021019,0.1616384,0.15766409,0.14948188,0.13956511,0.13028494,0.12278048,0.11697804,0.112244435,0.107877016,0.10348284,0.099172115,0.09553465,0.09363697,0.09411695,0.096653424,0.0999532,0.10355077,0.108901404,0.11885741,0.13510232,0.15738906,0.18502767,0.21777137,0.25339994,0.2842485,0.3005235,0.29775003,0.2821506,0.26467657,0.252009,0.24275117,0.23342384,0.22364981,0.21524334,0.20746814,0.19789074,0.18729086,0.18178082,0.19003244,0.21898384,0.27409288,0.35238817,0.43760493,0.49884176,0.5117543,0.47513506,0.41278622,0.352155,0.3080792,0.28266,0.2739055,0.28009138,0.29593012,0.31248477,0.32158026,0.32113147,0.31461754,0.30694267,0.3023304,0.3032298,0.3099927,0.31803617,0.32068932,0.31281996,0.29646507,0.27738005,0.26174265,0.25141776,0.24687754,0.24759094,0.25356767,0.26260737,0.27234766,0.28112924,0.29083547,0.30591527,0.33350953,0.37898612,0.43857834,0.49319658,0.51576155,0.4907429,0.4281936,0.35759035,0.30809873,0.29542044,0.32240388,0.37967333,0.444537,0.48395756,0.4751087,0.42226145,0.35464874,0.3032812,0.28157446,0.28541005,0.30251163,0.32146552,0.3314912,0.32566202,0.30198374,0.2656737,0.22402923,0.1850983,0.1565585,0.14674713,0.15921801,0.18771918,0.21766265,0.23500066,0.23457818,0.22103316,0.20756139,0.2140918,0.25841153,0.3393016,0.4267331,0.47869363,0.47327912,0.424209,0.36587837,0.32455713,0.3071902,0.3075231,0.31834903,0.33448017,0.3510057,0.36218247,0.36305356,0.35233235,0.33308354,0.31145176,0.29193938,0.27391362,0.25148806,0.22022949,0.18304686,0.15182225,0.13962172,0.15219921,0.1826543,0.21709843,0.24281208,0.2556093,0.2570971,0.25450355,0.25933042,0.28992188,0.3551209,0.4417627,0.5098605,0.5241921,0.4786385,0.4025428,0.33097926,0.28277183,0.25609484,0.24527036,0.25231028,0.28846696,0.35815707,0.44658312,0.51675195,0.5354169,0.49578938,0.42423534,0.35636842,0.3146203,0.30144688,0.30664456,0.31656194,0.31784913,0.3045033,0.27965164,0.25396678,0.23519824,0.22383223,0.21387845,0.2005866,0.18379568,0.16710077,0.15244626,0.13843086,0.12323455,0.11131832,0.11543808,0.15242052,0.23078048,0.33881107,0.44254175,0.5025709,0.5005503,0.45129338,0.38968015,0.34364703,0.32030344,0.31100145,0.3044002,0.29390013,0.27764055,0.25728887,0.2362914,0.2188387,0.20789494,0.20488429,0.20857483,0.21384436,0.21183467,0.19438533,0.16118045,0.12129516,0.08866166,0.07277798,0.07524409,0.09039092,0.11014259,0.1270879,0.13672917,0.13925672,0.1399355,0.14781417,0.17061277,0.21242864,0.27398625,0.35232127,0.434575,0.49416637,0.5028613,0.45257512,0.36478826,0.27711964,0.22094972,0.21372199,0.25736538,0.33808705,0.42293644,0.47446465,0.47296777,0.42958447,0.37399605,0.33162773,0.3111947,0.30661607,0.30679968,0.30147558,0.28591403,0.2606193,0.2308374,0.20282526,0.18231146,0.1719097,0.16950132,0.16793342,0.15896982,0.13897951,0.11204628,0.08743805,0.074216984,0.07985156,0.11123463,0.1765796,0.27356562,0.38199398,0.46321383,0.48725626,0.45155624,0.38468263,0.3210465,0.2812908,0.26633477,0.2670889,0.27323404,0.27765337,0.27770427,0.2752441,0.27399278,0.27698934,0.28445652,0.2957528,0.3070419,0.3119566,0.30029246,0.26761982,0.21855848,0.1689073,0.1336749,0.1208745,0.12707327,0.14390133,0.16210471,0.17584483,0.18402238,0.19382091,0.22078156,0.27962583,0.3660123,0.44905972,0.48680556,0.4598767,0.3853657,0.3026791,0.24071151,0.20499991,0.18557048,0.17726259,0.18820554,0.2342629,0.3178263,0.41446948,0.47897813,0.47903547,0.41906866,0.33692697,0.27214074,0.2428587,0.24493386,0.26468608,0.2892445,0.30867007,0.3179917,0.31660426,0.30702436,0.29101315,0.26927653,0.24367458,0.21812499,0.19592555,0.17597687,0.15521024,0.13557483,0.12706862,0.141991,0.1856489,0.25466317,0.33886233,0.4220927,0.481156,0.49524677,0.46089578,0.39857617,0.3385868,0.30125484,0.28828737,0.29079866,0.2996815,0.30999228,0.3190789,0.3261722,0.3318623,0.33815703,0.34408712,0.3464106,0.33993295,0.32432365,0.30265275,0.28135753,0.26301622,0.24651247,0.22721201,0.2043521,0.18404989,0.17777784,0.19225307,0.22252524,0.25334284,0.27204248,0.2775655,0.2811943,0.29567298,0.32798338,0.377255,0.4352833,0.4862381,0.507787,0.48518625,0.42260966,0.34577048,0.2851151,0.26220837,0.2842344,0.3439525,0.41927528,0.47534716,0.48418412,0.44244584,0.37614527,0.31837127,0.2886915,0.28631234,0.30070344,0.3214456,0.3411878,0.35469854,0.35771668,0.34778357,0.3229145,0.28416497,0.2369203,0.19418706,0.16934454,0.16833395,0.18265946,0.1969588,0.20101787,0.19800454,0.20207298,0.22917485,0.28807434,0.37049899,0.4503635,0.49501535,0.48870933,0.4427115,0.38529322,0.33799115,0.30678347,0.2879683,0.28029647,0.28538355,0.30291116,0.32581878,0.34375608,0.3487558,0.34101024,0.32786623,0.31934234,0.3196697,0.32499576,0.32412997,0.3068974,0.2695839,0.21998394,0.17417943,0.14813264,0.14836346,0.16821367,0.19616123,0.22295712,0.24862117,0.27882215,0.3235699,0.38647708,0.45728084,0.5093263,0.51760656,0.47959638,0.41884124,0.36577228,0.33434257,0.31927752,0.30872038,0.3009934,0.30817768,0.3450915,0.4112756,0.48071194,0.5168919,0.49881676,0.43903053,0.371303,0.32656553,0.3150116,0.32767954,0.347773,0.36070308,0.3600898,0.34682631,0.3270454,0.30611768,0.2873122,0.2705888,0.25719544,0.25008956,0.25351825,0.2657647,0.27670026,0.27194926,0.24433833,0.20417576,0.17659354,0.1910953,0.25706458,0.35351324,0.43211696,0.45385078,0.41355953,0.34353492,0.28121325,0.24563341,0.23365973,0.2348275,0.24158812,0.24998339,0.25775257,0.26369393,0.2684528,0.27329695,0.27903464,0.2857699,0.29260293,0.29839185,0.3010857,0.300401,0.29619443,0.2891105,0.27744672,0.2603566,0.2394978,0.2214183,0.21315676,0.21665657,0.2255855,0.23071486,0.22862239,0.2272867,0.2407419,0.28068784,0.34635985,0.42316386,0.48415288,0.5045993,0.47568467,0.4131514,0.3456962,0.29952645,0.28850326,0.31565914,0.37199354,0.43442115,0.4717165,0.46396223,0.41692087,0.35548484,0.3035533,0.27073982,0.25723878,0.25993475,0.27440038,0.29023054,0.29620212,0.28607044,0.2634313,0.23631944,0.21163636,0.19171703,0.17476691,0.1576745,0.1376647,0.115700014,0.09594855,0.08393728,0.08413071,0.101097666,0.14401412,0.21861155,0.31590986,0.40220842,0.44089696,0.41822454,0.3583434,0.30048206,0.2711958,0.27042335,0.2815927,0.2873775,0.2785053,0.2563071,0.22976382,0.21034813,0.20527476,0.21365488,0.2294728,0.24462228,0.25391796,0.25486815,0.24980725,0.24227571,0.23434205,0.22506993,0.21345125,0.20240195,0.1960478,0.19743145,0.20531572,0.21770966,0.23505338,0.2635187,0.3137394,0.3875989,0.46855405,0.5211192,0.5191109,0.46453443,0.3891308,0.3245825,0.28362814,0.25900707,0.24204187,0.23503596,0.25199857,0.3033775,0.38156894,0.45587847,0.49293283,0.47844198,0.42758083,0.36826894,0.32247785,0.29782835,0.2915727,0.29797435,0.3083949,0.3147242,0.30927852,0.2914265,0.26600632,0.24245887,0.22750694,0.22358496,0.22703217,0.23100233,0.22698557,0.21164012,0.19019699,0.17630708,0.18403833,0.2212203,0.28619722,0.3649789,0.43340364,0.46578464,0.45293608,0.40726826,0.35227594,0.30335024,0.26323447,0.23051411,0.20758498,0.19935827,0.20569211,0.22039749,0.23361333,0.239146,0.23614389,0.22958136,0.22448589,0.22150297,0.21562733,0.20090926,0.17792939,0.15473671,0.14337336,0.1512019,0.17792954,0.21436417,0.2476931,0.26619443,0.2659216,0.25118867,0.2330895,0.22209688,0.22587462,0.24728571,0.29022172,0.3549825,0.43304673,0.4985505,0.5222023,0.49073517,0.42054746,0.34519157,0.29521438,0.286451,0.31928375,0.37886703,0.43558088,0.45729437,0.43041584,0.37007013,0.307343,0.26560274,0.24991083,0.25319573,0.26685932,0.283092,0.29313183,0.2882388,0.2650186,0.22810413,0.18780828,0.15494424,0.13756877,0.13854153,0.15348887,0.16968441,0.173549,0.1600461,0.13889931,0.12735365,0.1422595,0.19431557,0.28301954,0.38974008,0.47683346,0.50989217,0.48107406,0.41628066,0.35049105,0.3048689,0.28020623,0.26871252,0.26309144,0.2586154,0.2526159,0.24542628,0.24014443,0.239407,0.24291418,0.24910486,0.2572302,0.26720396,0.27525958,0.27538028,0.26268655,0.23993886,0.21467467,0.19483854,0.18334605,0.18001729,0.18404515,0.19430643,0.20861816,0.22691332,0.25747868,0.312448,0.3920367,0.4709637,0.5115034,0.49212632,0.42731836,0.35279068,0.29790926,0.26720676,0.2493468,0.2357552,0.23399025,0.26303396,0.33218464,0.4244667,0.4993868,0.52250564,0.48889545,0.42358539,0.35753408,0.3089424,0.28076676,0.26775494,0.26138595,0.2519663,0.23294169,0.20457695,0.17262661,0.14393498,0.12306279,0.113619395,0.117566556,0.13411053,0.15684795,0.17713624,0.18842238,0.1903826,0.1893134,0.19692425,0.22886133,0.29373163,0.38162932,0.4584929,0.4871457,0.4534867,0.37849915,0.299481,0.24288313,0.21333653,0.20080571,0.19503774,0.1902275,0.18571086,0.18298657,0.184708,0.19246393,0.20517439,0.21988799,0.23248076,0.23988461,0.24002062,0.23369472,0.2233363,0.21156287,0.19921519,0.18704498,0.17778783,0.17522478,0.18008773,0.18812425,0.19344528,0.1944673,0.19629438,0.20705451,0.23347783,0.27821514,0.34175506,0.41735348,0.4884012,0.5278587,0.5165075,0.45565286,0.37003398,0.2917969,0.24767429,0.2541364,0.31011543,0.39304063,0.45946506,0.47417018,0.43201748,0.36323288,0.30449867,0.2748452,0.2689904,0.26934537,0.26026645,0.2334714,0.1917994,0.14455634,0.103667974,0.07560367,0.061568234,0.05970338,0.06860975,0.08729276,0.11188082,0.13519682,0.14846814,0.14805216,0.14005353,0.1403103,0.16821079,0.23402236,0.32858172,0.42075285,0.47461566,0.47228134,0.42681095,0.36867014,0.32316387,0.2967235,0.28282997,0.27292907,0.26265833,0.25103083,0.2387587,0.22788022,0.22064929,0.21907365,0.22373025,0.23442817,0.24743223,0.25575602,0.25042543,0.2284351,0.19530916,0.16335984,0.14274411,0.13640769,0.14033048,0.14813961,0.15547897,0.16061251,0.16678558,0.18291794,0.223949,0.2970529,0.389447,0.4650128,0.4893562,0.45411286,0.3840576,0.3141365,0.2661703,0.24172156,0.23346032,0.23884928,0.26484516,0.31920853,0.39522186,0.46449992,0.49219775,0.4629464,0.39414272,0.3207231,0.2700948,0.24891265,0.24879098,0.25750044,0.2647971,0.26478034,0.2555333,0.23967035,0.22163063,0.20631509,0.1972646,0.19498141,0.19528191,0.19012117,0.17349435,0.14682686,0.11863727,0.09733794,0.08551813,0.081026144,0.08344824,0.09514157,0.118245386,0.14818989,0.17684269,0.1962444,0.20461087,0.20391364,0.19803911,0.18984765,0.18122788,0.17310226,0.16572078,0.15926647,0.15405548,0.15025692,0.14752394,0.14499046,0.14226015,0.13963,0.1378421,0.13681532,0.1352567,0.13101302,0.12235802,0.109031714,0.09325969,0.08060801,0.079117835,0.095695145,0.12934162,0.16950665,0.20046175,0.21305819,0.20934309,0.20030063,0.19564267,0.19856815,0.20608914,0.21401322,0.22070222,0.22654355,0.23205829,0.23560981,0.2344005,0.22576322,0.20997675,0.19100149,0.17610471,0.1714435,0.17826237,0.19144382,0.20349737,0.20924623,0.20800494,0.20178092,0.19291043,0.18297243,0.17343259,0.16517399,0.15836193,0.15256615,0.14903249,0.15160398,0.16362041,0.18337958,0.20130748,0.20695317,0.19675781,0.17998934,0.17057778,0.17733961,0.19652624,0.21774216,0.23330863,0.24322784,0.2523191,0.26173759,0.26825228,0.2653393,0.2512684,0.22898169,0.20614141,0.18942918,0.1822952,0.18427731,0.19250928,0.20445271,0.21714766,0.22746046,0.23158395,0.2279151,0.21773984,0.2042812,0.18970871,0.17451845,0.15908869,0.14642476,0.1416459,0.14903413,0.1683508,0.19605583,0.22775681,0.26074317,0.29077497,0.31235406,0.31974316,0.31301835,0.29762855,0.2816848,0.26983693,0.2618253,0.2548041,0.24719502,0.2403375,0.23638506,0.2360851,0.23751903,0.23759393,0.23361938,0.22492634,0.21256305,0.19862384,0.18523319,0.17467435,0.16803841,0.16438235,0.16020502,0.15296984,0.14341168,0.1358891,0.1351616,0.14310922,0.1573031,0.1711907,0.17847086,0.17695689,0.17069627,0.16501774,0.16170873,0.15689683,0.14580224,0.12752862,0.106958576,0.09085417,0.08367061,0.08630254,0.09812727,0.117461,0.14003319,0.15919943,0.17041828,0.17519246,0.17890535,0.18456419,0.18979795,0.19098544,0.18914609,0.19014971,0.19930328,0.21567436,0.23320325,0.24472295,0.24581654,0.23489915,0.21377619,0.18886083,0.17041229,0.16709603,0.17939006,0.19785313,0.21049832,0.21106325,0.20364654,0.19614191,0.19380653,0.19468892,0.19415782,0.18893684,0.1800118,0.17093255,0.16519092,0.1639504,0.16503865,0.16480522,0.16057085,0.15281402,0.14434151,0.1391015,0.14088862,0.15227857,0.17210253,0.19464684,0.212492,0.2220156,0.22459763,0.22277184,0.21551114,0.1993674,0.17333484,0.1417471,0.113004275,0.09582409,0.09704382,0.11726693,0.1494391,0.17919032,0.19465347,0.19169277,0.17580962,0.15429828,0.13376635,0.1183318,0.11033488,0.10802855,0.10684224,0.10374608,0.10012072,0.099799566,0.1044542,0.11358291,0.12568904,0.14000285,0.15376423,0.16347344,0.16599159,0.16204049,0.15437055,0.14628112,0.13940383,0.13428779,0.13093996,0.12947637,0.13020234,0.13328297,0.13838924,0.14446294,0.15008612,0.15409164,0.15604489,0.15627104,0.15545613,0.15409699,0.15230131,0.14986841,0.14710684,0.14522535,0.14640437,0.15231031,0.16261387,0.17396522,0.18149672,0.18128836,0.17317742,0.16036318,0.14756338,0.13748378,0.1302238,0.12377835,0.1166453,0.108636715,0.100930564,0.094455324,0.08912146,0.08492286,0.08465094,0.095420845,0.12419792,0.17064011,0.22218592,0.261138,0.2761837,0.27150217,0.26035818,0.25357065,0.24997334,0.24168746,0.22283196,0.19698471,0.1731745,0.16085832,0.16260834,0.17391682,0.18463983,0.1887428,0.18896185,0.19538869,0.21252634,0.2341727,0.24775197,0.24876447,0.24488032,0.25298145,0.28786156,0.35413086,0.43831563,0.5109113,0.54125863,0.5181001,0.4573568,0.38824615,0.33293426,0.29703498,0.27527967,0.26029512,0.24766047,0.23600458,0.22714363,0.2237038,0.2271887,0.23579597,0.24706979,0.25976217,0.27345312,0.28379667,0.28228462,0.2630202,0.23103821,0.201741,0.18865003,0.19390237,0.20881774,0.22416417,0.23569125,0.24242719,0.24533486,0.24730933,0.25556907,0.27633956,0.31333148,0.3663913,0.42975068,0.48733187,0.51211643,0.48549196,0.4126049,0.32547587,0.25918618,0.23595916,0.26177248,0.3287981,0.41376838,0.47686425,0.48518148,0.4343121,0.35477078,0.2849512,0.24733062,0.24127235,0.25395063,0.27143323,0.28278866,0.28315106,0.2729609,0.25660113,0.23680633,0.2144068,0.19025837,0.16898869,0.15651602,0.15495484,0.15887366,0.15937506,0.15109347,0.1384943,0.13476443,0.15846395,0.22165824,0.317656,0.41384923,0.468037,0.45722306,0.39421317,0.31494683,0.25002512,0.21024905,0.19089924,0.18405662,0.18338268,0.18469715,0.18560432,0.18653093,0.18890052,0.19430254,0.20326723,0.21730326,0.23476891,0.24992585,0.2515101,0.2340286,0.20186299,0.1706273,0.15323286,0.15434621,0.16841425,0.18850392,0.20905767,0.22695728,0.24157397,0.2587348,0.29185298,0.3499728,0.42258525,0.47650635,0.48017588,0.4294318,0.35163903,0.27976426,0.22964084,0.19786924,0.17968833,0.17971186,0.21146165,0.28131887,0.37623373,0.4598415,0.4929811,0.45961952,0.37925646,0.29089442,0.22678107,0.19939654,0.20351736,0.22552906,0.24787706,0.25639296,0.2455991,0.22227325,0.19979073,0.18953276,0.19442846,0.20776747,0.21936047,0.22157587,0.21490306,0.20534737,0.20019329,0.20164557,0.20915578,0.22461857,0.25958368,0.32262424,0.4055656,0.4739953,0.49483302,0.45992574,0.39623955,0.3378508,0.30387464,0.29118383,0.28769776,0.28386077,0.27626994,0.26659927,0.25811288,0.25368938,0.25413874,0.25913632,0.268471,0.28051463,0.29078364,0.2913982,0.2779003,0.25240925,0.22395416,0.19997466,0.18343408,0.17297,0.16765799,0.16667648,0.16787755,0.16820757,0.16793466,0.17319572,0.19214444,0.22984372,0.28564414,0.3548471,0.42514125,0.4760537,0.48527288,0.4471887,0.3789579,0.31053153,0.2652266,0.25490814,0.28412592,0.34708437,0.41971615,0.4619724,0.446129,0.37825498,0.29603395,0.2367639,0.21495877,0.22121167,0.23802646,0.25193563,0.25582942,0.24883519,0.23363225,0.21554422,0.19832729,0.18422598,0.1736406,0.16772951,0.1677471,0.17487162,0.18804348,0.20411801,0.21837936,0.22920288,0.24181946,0.27012238,0.32460254,0.39852753,0.4613417,0.47978005,0.4430437,0.37333795,0.30523232,0.2608225,0.24032615,0.23296101,0.22978775,0.22761625,0.22532386,0.22149785,0.21508008,0.20817763,0.20500697,0.21034479,0.2245547,0.24306917,0.25580692,0.25366125,0.23330712,0.20179711,0.17275722,0.15838635,0.16217081,0.17815138,0.19710223,0.2110936,0.2150793,0.21041428,0.20909528,0.23395957,0.29660726,0.38128042,0.44422808,0.4521564,0.40587625,0.33989516,0.28658715,0.2564154,0.23971456,0.2285183,0.22846259,0.25696504,0.32221243,0.40811765,0.47236523,0.47784984,0.41917813,0.33074206,0.2584187,0.230105,0.24420041,0.2776067,0.30476165,0.30705944,0.28226838,0.24096416,0.2043056,0.19109692,0.2092377,0.25015828,0.2964374,0.33297756,0.35366997,0.359704,0.35400382,0.33901426,0.31567863,0.28443417,0.24743189,0.21116774,0.1858743,0.17888169,0.19059084,0.21414615,0.24063055,0.26119843,0.26953968,0.26344186,0.24641955,0.22512765,0.20524691,0.18895598,0.1761065,0.16613482,0.15891185,0.15416221,0.15061742,0.14621948,0.13854833,0.12664488,0.111569345,0.09703673,0.087407045,0.085809015,0.09231848,0.10455227,0.11912913,0.13255179,0.14146118,0.14360577,0.14049393,0.1381004,0.14286101,0.15492709,0.16748947,0.17418106,0.17825519,0.19076174,0.21999706,0.26252583,0.30521986,0.33489558,0.34426078,0.3342822,0.31161156,0.28767338,0.27279958,0.27102116,0.27697384,0.28099498,0.27727377,0.2681595,0.26203114,0.2661598,0.28207824,0.30411592,0.32365784,0.33370706,0.33265093,0.32308844,0.30866897,0.29119954,0.27083504,0.24827029,0.22546858,0.20485477,0.18789756,0.17650111,0.17370749,0.18074751,0.1923381,0.19796908,0.1925792,0.1840142,0.18847607,0.21387549,0.2520528,0.28342637,0.29269814,0.27615306,0.24224053,0.2042615,0.17481881,0.16094829,0.16164817,0.16938482,0.17440933,0.17265888,0.1669053,0.16376473,0.16536637,0.16964509,0.1738637,0.17954473,0.18948084,0.203417,0.2173745,0.22675355,0.22962539,0.22598606,0.21726434,0.20558174,0.19351973,0.18238293,0.1718434,0.16130264,0.15238582,0.14892018,0.1547748,0.17026436,0.19124065,0.21098821,0.2244938,0.23012708,0.22907722,0.2227766,0.21318443,0.20273793,0.19443703,0.18942924,0.18694155,0.18537651,0.18378912,0.18136573,0.17614023,0.16627336,0.15196031,0.13797872,0.13124599,0.13807286,0.15776724,0.18334551,0.20307142,0.21025287,0.20463265,0.19272332,0.17920242,0.16655076,0.15514915,0.1480258,0.14760013,0.15365772,0.16101955,0.16482939,0.16339755,0.16010742,0.15987076,0.16614968,0.17819476,0.19117312,0.19952995,0.20074852,0.197151,0.19295649,0.19085288,0.19023238,0.18875915,0.18461953,0.1781614,0.17152876,0.1675298,0.16730176,0.16997004,0.17228627,0.17105965,0.16330047,0.14820755,0.12692066,0.10425719,0.08684254,0.08035313,0.0856233,0.09832106,0.1122956,0.1231621,0.13015239,0.13449955,0.13848378,0.14398573,0.15250218,0.16361125,0.17577791,0.1871335,0.19774999,0.20861079,0.21917908,0.22560473,0.22199424,0.20575248,0.17961796,0.15154722,0.12906505,0.11647492,0.113419324,0.116544634,0.121796906,0.12593235,0.12851192,0.13124861,0.1371376,0.14779544,0.16214268,0.17682135,0.18826087,0.19503058,0.19786143,0.19862485,0.19841093,0.1969707,0.19246729,0.18322116,0.16890079,0.15113162,0.13169819,0.11214612,0.0944739,0.08254612,0.08082219,0.09230725,0.11616018,0.14742896,0.17775972,0.19922394,0.20820381,0.20720838,0.20186155,0.19647396,0.19195175,0.18702888,0.18043269,0.17184675,0.16171193,0.15115081,0.14177042,0.13517594,0.1320843,0.13193887,0.13360052,0.13587861,0.13805614,0.13951452,0.14003597,0.1397174,0.13903211,0.1383266,0.13753398,0.13635074,0.13449706,0.13212396,0.12953389,0.12706871,0.12478737,0.12261426,0.12059178,0.11901935,0.118463196,0.11913329,0.12057418,0.12154349,0.12071928,0.11740089,0.11173696,0.10453129,0.09662828,0.088799156,0.08150769,0.075173914,0.070123814,0.066723384,0.065097116,0.06488397,0.06617034,0.07060213,0.08250138,0.10417459,0.13219194,0.15467489,0.16065918,0.1470113,0.122751065,0.09987345,0.0865869,0.08355969,0.08856989,0.09955427,0.115297,0.13348405,0.15048201,0.16289727,0.16970986,0.17544053,0.19132574,0.23321931,0.3057629,0.39154315,0.45108053,0.45353052,0.39801022,0.3170521,0.24674171,0.20593561,0.19171005,0.19319862,0.20114474,0.20975173,0.21533604,0.21594448,0.21232177,0.20748377,0.20542718,0.21001653,0.22087793,0.23290108,0.23592226,0.22453566,0.19998115,0.17136897,0.14556251,0.12702034,0.11795355,0.123243034,0.14536043,0.18058677,0.21794988,0.24825926,0.2700069,0.28902277,0.31219622,0.34412444,0.3866768,0.43342385,0.46669278,0.46306363,0.41393742,0.33461905,0.25645706,0.20643365,0.19945382,0.2395715,0.31710765,0.4040668,0.45985493,0.45851055,0.4058464,0.3348547,0.27760854,0.24860168,0.24454176,0.25548995,0.2707666,0.28118536,0.28114772,0.2714139,0.2573642,0.24492837,0.23561977,0.22757673,0.21693145,0.20184624,0.18243332,0.16165835,0.14334528,0.13167183,0.13121112,0.14920731,0.19625373,0.27765867,0.38123417,0.4732503,0.5175684,0.5012306,0.443043,0.37596354,0.3226708,0.288871,0.26970708,0.26063085,0.25772765,0.25830874,0.25885442,0.25750855,0.2536912,0.2491759,0.24685931,0.24777661,0.24923591,0.2447183,0.23063241,0.20881675,0.18723552,0.1725388,0.16814233,0.1732769,0.18810041,0.21230476,0.24469773,0.28014517,0.31632802,0.35652575,0.40760002,0.46493188,0.50728196,0.50864303,0.46258333,0.38998473,0.32292756,0.2807294,0.26237383,0.25624487,0.2554703,0.2640089,0.29538926,0.35598472,0.4327503,0.4896377,0.49504796,0.44461882,0.3668804,0.29760766,0.257853,0.24914563,0.26197243,0.28514668,0.30735812,0.32211158,0.3277279,0.32767585,0.32422194,0.31682137,0.3024986,0.27896973,0.2471705,0.2112792,0.1781342,0.15285498,0.13650893,0.12714382,0.12746637,0.15000421,0.20940506,0.30265346,0.39758584,0.4484448,0.43079922,0.36029637,0.27804974,0.21754812,0.1874367,0.17795478,0.17638175,0.17512442,0.1718157,0.16735011,0.1646236,0.16645534,0.17464572,0.18877906,0.206681,0.22229837,0.22756161,0.21541633,0.18765257,0.15469351,0.1312737,0.12587537,0.13792634,0.15986957,0.18398766,0.20549406,0.22230278,0.2348062,0.24572738,0.26075384,0.28424433,0.318863,0.36511192,0.42252037,0.4815382,0.5211137,0.51823074,0.46887553,0.3940028,0.3263375,0.2900486,0.2962232,0.34304246,0.4152468,0.48024294,0.5036245,0.47122732,0.4008738,0.3256544,0.27063534,0.24226044,0.23410882,0.23602521,0.23769116,0.23249947,0.2193259,0.20304786,0.18880813,0.17917079,0.17412013,0.1745102,0.1816988,0.19583142,0.21349542,0.22993088,0.24122338,0.24723709,0.25261548,0.26734474,0.30362937,0.36365476,0.43157804,0.475603,0.4729022,0.42550245,0.3602022,0.3041853,0.2695088,0.25225505,0.24459665,0.24230874,0.24415223,0.24841535,0.25139174,0.24962346,0.24274449,0.23436934,0.23029424,0.2326281,0.23779391,0.23673086,0.22456028,0.20313926,0.18176694,0.16689591,0.1603082,0.15902095,0.16206236,0.16964905,0.1809559,0.19327368,0.20849377,0.23901056,0.29736266,0.37829366,0.44819474,0.4682251,0.42436138,0.3411301,0.25804064,0.20094939,0.17098343,0.15740706,0.15525794,0.17189856,0.22037852,0.300696,0.38965678,0.44731975,0.44719434,0.394315,0.3217603,0.26235083,0.2314729,0.2252546,0.23108895,0.23611332,0.23137175,0.21582629,0.19401284,0.17306393,0.15668385,0.14648916,0.14365256,0.15051398,0.16816992,0.19376443,0.22147387,0.24475121,0.25976118,0.26710713,0.27379683,0.29380062,0.3372612,0.39901796,0.4508296,0.46306273,0.42587182,0.36110303,0.29974386,0.26146898,0.2450642,0.24029636,0.23780757,0.23352665,0.22657377,0.21770442,0.20804916,0.19922638,0.1933121,0.19361393,0.20134133,0.21437006,0.22560596,0.22922496,0.22267266,0.2093665,0.19475722,0.1848876,0.18338154,0.18993612,0.2011599,0.2122909,0.22148697,0.22935104,0.2403918,0.2581127,0.28540388,0.32105038,0.36538795,0.41380608,0.4550289,0.46628082,0.43271807,0.35982564,0.2759457,0.21149302,0.18529622,0.20567048,0.2691261,0.35783544,0.431963,0.45573044,0.4182104,0.34600568,0.27573878,0.23228075,0.21902306,0.22789551,0.24778783,0.2668539,0.27626458,0.27272376,0.2604128,0.2460854,0.23465866,0.22777544,0.2255329,0.22849476,0.23698765,0.24888968,0.25969455,0.26362953,0.2600118,0.25479296,0.26322085,0.29821774,0.35920438,0.4214599,0.45091113,0.42788386,0.3642502,0.2918618,0.23879461,0.21444036,0.21330744,0.2250551,0.24067445,0.25396612,0.2627786,0.26888433,0.2755839,0.28457674,0.29491302,0.30379626,0.3074589,0.30200347,0.28502807,0.25748408,0.22457914,0.19502012,0.17825466,0.18025659,0.20004962,0.23022671,0.26165345,0.28751108,0.30749905,0.32784247,0.36110523,0.4119717,0.46887732,0.5021331,0.4904373,0.43653563,0.36875036,0.3141769,0.2837117,0.27056,0.26604733,0.26963854,0.29147527,0.34014574,0.40834868,0.46654594,0.48124394,0.44044104,0.36534038,0.2924244,0.24839891,0.23786442,0.2502919,0.2709702,0.28785583,0.29429778,0.29002273,0.2795221,0.2681583,0.25889358,0.25251064,0.24837804,0.24530905,0.24109566,0.23384523,0.22319347,0.21090674,0.19969617,0.19497259,0.20611334,0.2458139,0.31496567,0.39320192,0.44047058,0.42863867,0.36168563,0.27614337,0.20852439,0.1744013,0.16578533,0.1683053,0.17211372,0.17383237,0.17303926,0.16992073,0.16547513,0.16171594,0.16210485,0.17031385,0.18615782,0.20393287,0.21288224,0.20693679,0.18773691,0.1656694,0.14947523,0.14325927,0.14489192,0.1514679,0.16068204,0.17128916,0.181785,0.19081354,0.19873776,0.20831566,0.22557183,0.25822407,0.3118705,0.37930524,0.43616083,0.45045802,0.40765762,0.32405695,0.2372009,0.18172342,0.17588522,0.22154582,0.3032844,0.38753867,0.4317802,0.4125124,0.34198523,0.25925758,0.19912522,0.17343183,0.17392932,0.18537079,0.1944037,0.19156365,0.17493929,0.15039885,0.1282361,0.115594305,0.112999775,0.116899185,0.12275454,0.12754829,0.12832664,0.12379537,0.11428826,0.102636844,0.094525166,0.100666754,0.13775493,0.21509822,0.31877705,0.40501592,0.4288788,0.3768842,0.280053,0.18563294,0.124689735,0.099349074,0.095643364,0.099259734,0.101903416,0.10111123,0.0984121,0.09843602,0.10650402,0.12583692,0.15553622,0.18856771,0.21391334,0.21964681,0.20178755,0.16623782,0.12808049,0.10045385,0.089729555,0.092968486,0.10534794,0.122804426,0.14362061,0.16449285,0.18117954,0.1903124,0.19252561,0.19131434,0.19035868,0.1909576,0.19218445,0.19216007,0.18970238,0.18510884,0.1800914,0.17672913,0.17625315,0.17846037,0.18199427,0.18473946,0.18445118,0.179335,0.16908854,0.15494926,0.13905607,0.12323025,0.10875439,0.096843325,0.088923424,0.08595262,0.08739388,0.09130448,0.095578015,0.099197745,0.10207194,0.10373113,0.10248047,0.09598986,0.083221905,0.065704234,0.047237765,0.031769194,0.02143229,0.015978921,0.013647943,0.012517062,0.0111259455,0.008951854,0.0061799306,0.0035509279,0.0016285847,0.0005865989,0.00016760359,5.7918212E-05,4.2881617E-05,4.500766E-05,4.452832E-05,4.008411E-05,3.4221142E-05,3.0958345E-05]