[0.0051286723,0.0051130527,0.0050257053,0.0048315846,0.004559916,0.0043051355,0.0041043665,0.003957595,0.0038106057,0.003972428,0.0053233556,0.00940774,0.016823463,0.025947044,0.03267884,0.0335041,0.028085954,0.019695027,0.01223275,0.007659609,0.005605014,0.0048365146,0.004518682,0.004368329,0.004316954,0.004288631,0.0042029824,0.0040742834,0.003944272,0.0039013661,0.003945798,0.00411287,0.0043463632,0.004618913,0.004799887,0.004852667,0.0047672573,0.0046330504,0.0044865794,0.004370598,0.0043352656,0.004466526,0.0048225964,0.0053680292,0.0060199886,0.0066039185,0.0069779526,0.0070041753,0.0067742863,0.0064461823,0.0062527177,0.006193994,0.0062124007,0.0061655785,0.006065987,0.005941458,0.0058738757,0.0058854003,0.0059836055,0.006136358,0.006297832,0.0064497185,0.0065940847,0.0067511457,0.0069292597,0.00715182,0.0074442257,0.007774276,0.008054804,0.008196658,0.008212496,0.008161877,0.00808867,0.0079682,0.0077802353,0.007532544,0.0072811763,0.0070928694,0.007066704,0.007263186,0.007702934,0.008308426,0.009000196,0.009648719,0.010125128,0.010237691,0.009914182,0.00923131,0.008470506,0.007861799,0.0074811443,0.0072357487,0.0070488346,0.0069589615,0.0070209242,0.007250728,0.0075778184,0.007945235,0.008285054,0.008496911,0.008500151,0.008264669,0.007883501,0.0074375602,0.0069712643,0.0064538964,0.00587038,0.0052867313,0.004802381,0.004543673,0.004582681,0.0050228056,0.005867464,0.0070270523,0.00821961,0.00916725,0.00961713,0.009549935,0.009414926,0.010511093,0.016012551,0.031566158,0.06585243,0.1255731,0.20887136,0.29766002,0.36332297,0.3800104,0.34232402,0.26752856,0.18508275,0.11860294,0.07678188,0.055089638,0.04438631,0.037903856,0.033881456,0.034861807,0.045979653,0.07204732,0.11454312,0.16854489,0.223749,0.26811957,0.29388192,0.3007919,0.29723826,0.29889277,0.32438636,0.38627326,0.48154175,0.59013486,0.68698114,0.7565612,0.7992255,0.8225277,0.8296711,0.81343555,0.76122445,0.6657944,0.5344571,0.38907528,0.2563932,0.1550651,0.09005368,0.055026155,0.040137514,0.036174763,0.03763718,0.042993695,0.056037724,0.08109566,0.11709098,0.15213959,0.17012846,0.16122262,0.1300812,0.09069564,0.056730866,0.035092525,0.028235724,0.038792897,0.06867062,0.114476524,0.16389985,0.20202215,0.21978669,0.21918611,0.20761694,0.19024384,0.16725145,0.1376821,0.10494407,0.076393865,0.06043304,0.061036143,0.076672435,0.09946332,0.11917174,0.12721722,0.1221812,0.10912266,0.09497877,0.08271083,0.07073926,0.056878764,0.04163871,0.028069519,0.018979,0.015297393,0.01612234,0.019537406,0.023546865,0.027179204,0.031395625,0.038740072,0.051623013,0.07105736,0.09614385,0.12505572,0.15516402,0.1836267,0.20687382,0.22204548,0.22880955,0.23156875,0.23703843,0.24882726,0.26191783,0.26471576,0.24669462,0.20686449,0.15478924,0.104047604,0.06461456,0.03883826,0.024290467,0.016719313,0.013114733,0.011358411,0.010436524,0.009803206,0.009363588,0.009154288,0.009143159,0.00925167,0.009384006,0.009665555,0.010283056,0.011250649,0.012175854,0.012524049,0.012160969,0.011659504,0.012277176,0.015435814,0.022023665,0.03188693,0.043688282,0.05582006,0.06586305,0.071318544,0.069157034,0.059384856,0.044712905,0.030588709,0.020379739,0.0149751045,0.012625091,0.011692073,0.011407542,0.012713787,0.018533073,0.03342348,0.06235811,0.10787132,0.16860504,0.23829494,0.30905852,0.37232748,0.4208922,0.44568953,0.43897316,0.39817178,0.33336392,0.26439673,0.2119488,0.18640347,0.18564622,0.20070474,0.22313619,0.24842346,0.27471086,0.30070737,0.324379,0.34393537,0.35820046,0.3671739,0.3703718,0.36719176,0.35649848,0.33847913,0.31511906,0.2919021,0.2771108,0.27803242,0.2956178,0.3216941,0.34411862,0.35407975,0.35205176,0.34552407,0.34343514,0.3498771,0.36261198,0.3756684,0.38292134,0.37932125,0.3597393,0.31991383,0.2604666,0.19039255,0.12461692,0.07643811,0.050647262,0.043184787,0.046622213,0.057461172,0.07826027,0.11408436,0.16527246,0.22501256,0.28273106,0.33073413,0.36694658,0.392817,0.40981624,0.41776884,0.41564557,0.40295208,0.3805327,0.35122404,0.3192267,0.28979883,0.2671578,0.2534561,0.24655713,0.24087977,0.22947778,0.20964384,0.18519394,0.1642528,0.15237926,0.14879097,0.14878897,0.1484095,0.1462776,0.14112133,0.1307953,0.114105575,0.09322067,0.07326615,0.058438938,0.050021667,0.046196554,0.04563552,0.04839599,0.05545156,0.06561763,0.075124025,0.079491764,0.07642981,0.06693611,0.053925063,0.040568616,0.029106298,0.020745708,0.015554481,0.012824877,0.011459317,0.010726175,0.010207185,0.0098258965,0.009367106,0.008824705,0.008220936,0.007759826,0.0074100406,0.007100539,0.0067649656,0.006569531,0.0067096013,0.0073073083,0.008208183,0.009092455,0.009511948,0.009267957,0.00844019,0.0074472055,0.0066207685,0.0061423057,0.0059535825,0.006011265,0.0062750895,0.0066806637,0.007055737,0.007201744,0.0071036224,0.006928826,0.0069013983,0.007033463,0.0071624536,0.007131913,0.0069302153,0.006698154,0.006490002,0.0063193776,0.00609768,0.0058879466,0.0057766675,0.005860139,0.006054636,0.006183915,0.006112604,0.0058898497,0.005756488,0.006001137,0.0067195497,0.0077411495,0.008714215,0.009432684,0.009862815,0.01007637,0.010082764,0.009908627,0.009700826,0.009588822,0.009588341,0.009455036,0.009034802,0.008347654,0.007716686,0.007410897,0.007486123,0.00777296,0.008026188,0.00812696,0.00797227,0.0075920876,0.007030954,0.0065031764,0.0061914935,0.0062692105,0.0067226775,0.0074081905,0.008080922,0.008594166,0.008987017,0.009394753,0.009860188,0.010441303,0.011518675,0.015861018,0.031296957,0.073310345,0.15898846,0.29491305,0.46478042,0.6342408,0.7693755,0.85568666,0.89967823,0.91617984,0.91598034,0.90332454,0.88096863,0.85376555,0.82782835,0.8070368,0.79078245,0.7748985,0.7550884,0.73038435,0.7037065,0.67921954,0.6588521,0.641522,0.62451106,0.6057539,0.58488053,0.5653623,0.5548959,0.56261235,0.59130526,0.6321493,0.66696095,0.67745477,0.65683216,0.6143876,0.57262796,0.5523,0.5603731,0.58486027,0.60701066,0.6130705,0.6034941,0.5872204,0.57574916,0.5738485,0.5803967,0.5901124,0.5995815,0.6069975,0.6103384,0.60507965,0.5854058,0.5472143,0.48936936,0.41439804,0.32813945,0.24032344,0.16218467,0.1028828,0.06534242,0.04598212,0.038031057,0.036241803,0.040046502,0.051750064,0.07279677,0.09958216,0.1242975,0.13813639,0.13614097,0.11914451,0.09317661,0.06598394,0.043465514,0.027717317,0.017895687,0.01213821,0.009038231,0.007697655,0.007500543,0.007931299,0.008761123,0.009858432,0.011045787,0.011896287,0.012131273,0.011825818,0.011456896,0.011344192,0.011346262,0.011041735,0.010215542,0.009100107,0.008055623,0.0073110643,0.006914135,0.006911773,0.0073937536,0.008311823,0.009476158,0.010516931,0.011163554,0.011232308,0.010764293,0.009911843,0.008920196,0.008073258,0.0075914175,0.0076332893,0.008137475,0.008896139,0.009551823,0.009831191,0.009675673,0.009299073,0.009016245,0.0089808,0.009086889,0.009096374,0.008888289,0.008539148,0.008236993,0.008134176,0.008329184,0.008813291,0.00949371,0.010113563,0.010483737,0.010493635,0.010278332,0.009889639,0.009380923,0.008664885,0.007859175,0.007161219,0.00687184,0.0071241832,0.007819364,0.008661456,0.009239947,0.0093397675,0.008967296,0.008460149,0.008185658,0.008374198,0.008937416,0.009512116,0.009793499,0.009663715,0.009381331,0.009207913,0.009291795,0.009454151,0.009414048,0.0090546915,0.008480534,0.0079277875,0.0074050645,0.0068298453,0.006147144,0.0055748117,0.00541236,0.005786143,0.0065300767,0.007267023,0.0077991807,0.008156144,0.008546795,0.008947664,0.009152851,0.00897675,0.008534547,0.008147603,0.008022894,0.008095284,0.008091743,0.007853875,0.0074954536,0.007287281,0.0073214564,0.007362896,0.007108035,0.0065371175,0.0059799287,0.0058051185,0.006086419,0.006622881,0.00736171,0.008696519,0.01182842,0.017921614,0.02926006,0.048588395,0.08109877,0.12884565,0.18882425,0.24828649,0.29352108,0.31557176,0.31708696,0.30633235,0.29262158,0.2808828,0.27300793,0.26753628,0.26228288,0.25449917,0.24360013,0.23001677,0.21545881,0.20121288,0.18846416,0.17778492,0.16898096,0.16137446,0.1541102,0.14752734,0.14249557,0.14036028,0.14080888,0.14242138,0.14213638,0.1377979,0.12872978,0.11767896,0.108886145,0.10633222,0.110330574,0.117830254,0.123939805,0.12507562,0.11957711,0.10736873,0.0893612,0.06795552,0.0472095,0.03127572,0.022901328,0.022170514,0.027997365,0.038119465,0.051046055,0.06488284,0.07978722,0.09664684,0.11831057,0.14476652,0.17185862,0.19091713,0.19635874,0.19050199,0.18286587,0.18177307,0.18845169,0.1970514,0.19918974,0.18798475,0.16095312,0.122131966,0.08090743,0.047267083,0.026038745,0.015828157,0.012251978,0.01226798,0.015890867,0.025539717,0.044118214,0.07331744,0.11112402,0.15058123,0.18048964,0.19112115,0.18026812,0.15499572,0.12608004,0.10067449,0.079857856,0.062038004,0.04730636,0.03825232,0.037365135,0.044646103,0.05733202,0.07152984,0.08410212,0.09347382,0.099660926,0.10329803,0.10505476,0.10522876,0.10397536,0.10152111,0.097899,0.093043186,0.08663388,0.07891324,0.07037588,0.061779473,0.053211924,0.04464546,0.036269065,0.029207295,0.02469687,0.023214152,0.023932615,0.025423238,0.02681028,0.027943306,0.028919464,0.0291944,0.028147979,0.025691794,0.022716044,0.020178447,0.01847685,0.017333424,0.016427213,0.016356595,0.01882183,0.026587607,0.040746674,0.060152173,0.08054713,0.09905777,0.114425085,0.12825203,0.14088984,0.15202107,0.15986247,0.16320276,0.16039263,0.14971943,0.13002895,0.102820374,0.072958596,0.046559155,0.027872218,0.017380206,0.013433839,0.014553669,0.020578176,0.03131148,0.04544193,0.060985282,0.077246666,0.09534642,0.11636102,0.13825619,0.15508425,0.16003616,0.15028858,0.12910399,0.10350731,0.079275616,0.05889139,0.042452395,0.030448707,0.024060374,0.024274634,0.03138012,0.045444116,0.06609463,0.09098261,0.1153208,0.1348042,0.14853913,0.15940154,0.17019312,0.18147467,0.19168992,0.19951381,0.20441921,0.20661516,0.2066984,0.20595956,0.20618421,0.2087705,0.21390128,0.21998972,0.22433794,0.22409536,0.2178151,0.2061397,0.19147635,0.17656367,0.1631444,0.15203357,0.14370878,0.13853037,0.13524128,0.13044508,0.12016731,0.10349973,0.08398783,0.06709082,0.05584606,0.049281258,0.045197707,0.04383151,0.04863261,0.06320969,0.08800311,0.119352795,0.15185474,0.18075024,0.20323221,0.21738116,0.2218011,0.21560971,0.1995792,0.1757583,0.14681871,0.11528909,0.08409977,0.056624588,0.035819568,0.022685105,0.015930614,0.013018082,0.011778653,0.011109244,0.010812824,0.010826905,0.011009444,0.01103771,0.010762267,0.0101062795,0.009235811,0.009166363,0.012118436,0.022124434,0.041907832,0.0722043,0.107937746,0.14264378,0.16765088,0.17887074,0.17472346,0.1602129,0.14161392,0.12561502,0.11362476,0.10318017,0.08972851,0.07165599,0.051304832,0.033290938,0.020829862,0.0140852025,0.011192829,0.010115676,0.009732335,0.009621169,0.009651486,0.00980077,0.010094482,0.010583128,0.011121691,0.011396631,0.011111069,0.010317508,0.009473354,0.009102199,0.0094011715,0.010089709,0.010698497,0.010894564,0.01061768,0.010026152,0.009379248,0.009042027,0.00919159,0.009684508,0.009968829,0.009617877,0.008600552,0.007353226,0.006369758,0.005987638,0.006276279,0.0070654177,0.007974722,0.0085598035,0.008554758,0.0079843,0.0071472726,0.0064203613,0.0061640204,0.0065672505,0.007558662,0.008767225,0.009695993,0.010037899,0.009866814,0.009577935,0.00962878,0.010161704,0.010979424,0.011613253,0.011858235,0.011682092,0.011242188,0.010466819,0.00942756,0.008392307,0.0079070665,0.008265345,0.009254877,0.010300156,0.010947666,0.01124555,0.011592108,0.012252632,0.013209707,0.014127267,0.015086603,0.016635077,0.020968398,0.032129418,0.05615149,0.09681959,0.14995675,0.19990613,0.22591694,0.21535791,0.17327423,0.118746996,0.071487375,0.040983554,0.025764048,0.019652247,0.017552068,0.016949765,0.016937373,0.016962765,0.016699255,0.016136209,0.0155982645,0.015289973,0.0150622465,0.014628779,0.013976197,0.013467673,0.013434629,0.013747585,0.013890567,0.013337591,0.012098485,0.010638948,0.009636628,0.00948953,0.01011112,0.011014515,0.011533328,0.011358041,0.010579176,0.009648677,0.00885703,0.008331196,0.00808731,0.0081763,0.008531618,0.008858763,0.008868795,0.008472218,0.007922697,0.0074533042,0.007253963,0.0072787474,0.007528814,0.0078445,0.008161507,0.008384478,0.008616626,0.008848547,0.008946787,0.008633043,0.007841349,0.0067892014,0.005864238,0.0052926424,0.0051128664,0.0052240714,0.0055970396,0.00623454,0.0071273646,0.00811853,0.008881503,0.009114083,0.0087126875,0.007960984,0.007262686,0.006938563,0.0069619115,0.0071414323,0.007250522,0.007235073,0.007140448,0.007103468,0.007185546,0.0073926505,0.0076209395,0.007814997,0.007927683,0.007946505,0.007816896,0.0075316974,0.00722238,0.0073017427,0.008844383,0.013760035,0.024384737,0.041686665,0.06362654,0.08519419,0.10097764,0.108347,0.108298086,0.1041012,0.098863535,0.09454227,0.092449546,0.093794726,0.10131652,0.117408626,0.14318557,0.17423676,0.203255,0.22268933,0.230442,0.22915523,0.2242461,0.22030033,0.21942349,0.22053437,0.22020964,0.21535033,0.20590222,0.1953369,0.18861942,0.18930064,0.19850339,0.21394026,0.22968186,0.23636264,0.22538573,0.19443399,0.14983769,0.10321027,0.06449608,0.0380659,0.02268078,0.014825523,0.011111439,0.009421259,0.0085924985,0.008103617,0.007763892,0.0076813004,0.007956236,0.008609208,0.009412791,0.010109079,0.010476708,0.010507438,0.010335233,0.010154598,0.010102186,0.010133732,0.010110562,0.0098005,0.009190494,0.00848085,0.008161896,0.008654186,0.009995782,0.011667784,0.012809309,0.01288489,0.012051939,0.011026348,0.010448447,0.010326281,0.010275002,0.009765923,0.008737814,0.007361192,0.0060986537,0.005250886,0.005026664,0.0054654,0.0065573454,0.008126773,0.009753979,0.010924597,0.011397149,0.011299663,0.011001465,0.01069776,0.010553087,0.010499698,0.010468761,0.0100518465,0.009124432,0.007804965,0.006770553,0.006505962,0.007138165,0.008164774,0.0089636855,0.009167229,0.008951399,0.008801162,0.009090182,0.009773474,0.010476389,0.0108684,0.010903578,0.010841146,0.010953367,0.011926256,0.014995928,0.022242328,0.035536557,0.05649792,0.086253166,0.124607466,0.16767143,0.20621933,0.22964782,0.23151392,0.21417896,0.18521202,0.15286694,0.122291915,0.0971637,0.08072152,0.075290285,0.08019521,0.09151099,0.10423183,0.115262836,0.12538715,0.13951325,0.16356166,0.19931346,0.23942876,0.26950133,0.27738342,0.2623891,0.23676378,0.21350719,0.19687134,0.17859226,0.15054728,0.112086415,0.07253657,0.041346315,0.022671914,0.014244455,0.0116181495,0.011206079,0.011029645,0.010525842,0.009776644,0.0091980025,0.009001381,0.0091353385,0.009448051,0.009869284,0.010534673,0.011466924,0.0125295045,0.013371178,0.013741582,0.013600384,0.013037979,0.0122548565,0.011363623,0.010526859,0.009698669,0.00887243,0.008014038,0.0073114354,0.0069401767,0.007087109,0.007806173,0.009192497,0.011138801,0.013487871,0.015644453,0.017212905,0.017655829,0.017140994,0.015711095,0.013938915,0.012090432,0.010758777,0.010121661,0.010148012,0.010409529,0.010507427,0.010358243,0.010020311,0.009631333,0.009203763,0.008853022,0.008974041,0.010282555,0.0143928,0.02422723,0.04492475,0.08199682,0.13743334,0.20528887,0.27197298,0.32275137,0.34804597,0.34636578,0.32134342,0.2810302,0.23743097,0.20556842,0.1970974,0.21366613,0.24548392,0.2777548,0.3006432,0.31401956,0.32334593,0.32968938,0.32504687,0.2983435,0.24672383,0.18210752,0.1251619,0.096064925,0.10290143,0.14041312,0.19021656,0.23236032,0.252009,0.24671584,0.22348845,0.19662146,0.18060537,0.18250702,0.19630636,0.20694135,0.20323403,0.18555705,0.16294666,0.14188167,0.123021305,0.104943186,0.090404846,0.08409869,0.0876664,0.09618405,0.101828195,0.09856979,0.085761555,0.06713041,0.04817645,0.03306002,0.023233652,0.017886179,0.015246488,0.013835338,0.012834654,0.012030098,0.011470399,0.011249469,0.011415634,0.012015001,0.013075572,0.014559887,0.016307617,0.018138297,0.019879958,0.021335026,0.022173434,0.022024928,0.020731485,0.01853049,0.016056677,0.014043309,0.013062385,0.013226925,0.014193389,0.01529796,0.015899906,0.015705341,0.0147982845,0.013569956,0.012334974,0.011288866,0.010388714,0.009609133,0.008928276,0.008408465,0.008069617,0.00794799,0.008033223,0.008312202,0.008610507,0.008759462,0.008597429,0.008209619,0.00773452,0.0073552434,0.007134776,0.0070552253,0.007027846,0.006938861,0.006784504,0.0066477065,0.0066527897,0.006823802,0.007082784,0.0073979795,0.0077649304,0.00830662,0.008979187,0.009724,0.0102559505,0.010453001,0.010258391,0.009899599,0.009556774,0.009295682,0.008989774,0.008512787,0.007945987,0.007499067,0.0074180625,0.0077613927,0.008514471,0.0095863445,0.010795333,0.011793832,0.012154504,0.0117569985,0.01082324,0.009845823,0.009074517,0.008562761,0.008173592,0.0079104705,0.0077217743,0.007572178,0.0072886683,0.0068939533,0.0064349608,0.0061476342,0.0060953163,0.006360097,0.006802215,0.007282376,0.007571533,0.0075522377,0.0072526764,0.0068477974,0.0066226427,0.006770246,0.0073352647,0.008087663,0.008638005,0.008672454,0.0081265345,0.0073243626,0.006631306,0.0063755526,0.0065090046,0.0068818145,0.0072007086,0.007400978,0.0075782374,0.007974091,0.008744924,0.0097223725,0.010657676,0.0111480085,0.011154254,0.010640579,0.009989061,0.009503015,0.009553016,0.010029948,0.010548252,0.010669012,0.010309835,0.009832469,0.009668808,0.010040195,0.010699951,0.011152517,0.011049573,0.010433105,0.009740234,0.009239912,0.008994013,0.008764498,0.008511878,0.008289691,0.008252315,0.0083901845,0.008576223,0.008714239,0.0087983,0.008951276,0.009244461,0.009734021,0.01039753,0.011103013,0.011597313,0.012025659,0.014161068,0.021719387,0.038378324,0.06298234,0.08805416,0.10341888,0.10542747,0.099520944,0.09588126,0.09875298,0.10382328,0.102459125,0.091919325,0.08061117,0.087446205,0.13068743,0.2136445,0.31535208,0.40037772,0.44004998,0.42981157,0.3859096,0.33046207,0.27755502,0.23112686,0.18856877,0.14711668,0.10705978,0.07221223,0.0462286,0.02977567,0.020403987,0.01509073,0.011884158,0.010072895,0.009325652,0.0112150125,0.021637343,0.05396286,0.123399414,0.23723434,0.3830752,0.53335613,0.6584318,0.7436612,0.79139286,0.81380624,0.8211288,0.8161297,0.7955583,0.75581783,0.7002352,0.64072305,0.5940327,0.57108545,0.5698498,0.5761146,0.5737933,0.55522895,0.5221504,0.47988215,0.43001732,0.37231895,0.30819905,0.24446386,0.18928103,0.14922889,0.12632518,0.119122475,0.12159737,0.12479511,0.11957248,0.10272908,0.078011364,0.05321239,0.03407232,0.02242609,0.017603047,0.019578854,0.030111881,0.05149877,0.08366728,0.12143109,0.15392077,0.16879459,0.15879844,0.12776233,0.08801221,0.053356353,0.030613428,0.0192612,0.014702684,0.013153739,0.012542865,0.012238983,0.011927818,0.011547766,0.01102294,0.010437218,0.009874954,0.009448525,0.009230566,0.009208977,0.00954901,0.011449543,0.017368553,0.03026559,0.04899629,0.067701615,0.07699307,0.07326304,0.059709232,0.04528436,0.035262894,0.030709887,0.029982924,0.034957346,0.050868932,0.08179002,0.12356008,0.16160597,0.17864268,0.16580884,0.12978554,0.08698535,0.05361596,0.03736778,0.037498552,0.047659025,0.05993304,0.06863305,0.07349785,0.079692475,0.092957,0.113704145,0.1349722,0.14657725,0.14178099,0.12151503,0.092986204,0.06485083,0.042545807,0.02727653,0.017651234,0.0121251205,0.0100288885,0.011551075,0.016763857,0.02464878,0.032627255,0.037646636,0.037970327,0.03420584,0.028512977,0.022973264,0.018596599,0.015431073,0.013120054,0.011304509,0.009740855,0.008423102,0.0075251143,0.007313376,0.0079327775,0.009383035,0.01154099,0.014070687,0.016382433,0.017696569,0.017567692,0.016168205,0.014230915,0.012460139,0.011181484,0.010340224,0.009811059,0.009495341,0.009344756,0.009285435,0.00927379,0.009295045,0.00928251,0.009188656,0.008898209,0.008452401,0.007917234,0.0075432453,0.007600726,0.008263334,0.009500683,0.010817568,0.011669562,0.011503075,0.0105254715,0.009266055,0.00845725,0.008171878,0.008081484,0.0077129765,0.006990096,0.0061348225,0.0054151765,0.0049279393,0.0046418644,0.004510276,0.0045771147,0.004908458,0.0056038625,0.006584618,0.0076942183,0.008586127,0.009089217,0.009114985,0.008858978,0.008586542,0.008954086,0.012328836,0.025014369,0.0577509,0.11948051,0.20649064,0.29683435,0.36042628,0.37864354,0.35571718,0.31172922,0.26797938,0.23795755,0.22722965,0.23246513,0.24131046,0.23732239,0.21110249,0.16702454,0.11853508,0.07847013,0.052606013,0.040828545,0.040305883,0.047136668,0.05676054,0.06473941,0.07065624,0.081358545,0.11080056,0.17125325,0.26300788,0.36882174,0.46114245,0.51359016,0.5134529,0.46749398,0.4012657,0.34673575,0.32344052,0.32671204,0.33366808,0.32164422,0.28343022,0.22707516,0.16765243,0.11605408,0.07719717,0.050068364,0.032585792,0.021999255,0.016295735,0.013418023,0.012051568,0.011364861,0.010907852,0.01030254,0.00936145,0.008202272,0.0071557066,0.0064485245,0.006033233,0.005671915,0.0051671998,0.0045455443,0.0039945315,0.0037601257,0.0039728824,0.004601505,0.0054361993,0.0061717858,0.0065903966,0.006672401,0.0065854024,0.0065076356,0.0065115783,0.0065849596,0.0067116604,0.006880184,0.0070808553,0.007236785,0.0073104915,0.0072407196,0.007066712,0.0068583875,0.0067603267,0.0068404437,0.0070160977,0.0071624066,0.007231549,0.0073763696,0.007654315,0.007985241,0.008091668,0.007874796,0.00741064,0.006967909,0.00674086,0.0067867436,0.0070165615,0.007251732,0.007378621,0.0073167942,0.00711656,0.0068386863,0.0065939217,0.006415875,0.0063137193,0.006297616,0.0064349477,0.0067411717,0.0071407924,0.0074425247,0.0075309663,0.007348416,0.007040256,0.0067693056,0.006730424,0.0068688425,0.0070389067,0.0070497356,0.006921047,0.0067531057,0.006669828,0.0067130807,0.0068597053,0.0070675802,0.007236654,0.0073194806,0.0072515886,0.007073673,0.0068578366,0.0067507816,0.0068262205,0.0070062405,0.007165754,0.007265035,0.007493066,0.007963671,0.008590877,0.008988191,0.008883845,0.008276862,0.0074835997,0.006807514,0.0063734488,0.00613814,0.006072381,0.0062614926,0.0068440703,0.007748461,0.008667278,0.009113553,0.00890478,0.008179042,0.0073719695,0.006768473,0.0064658313,0.0064079016,0.006542552,0.006819817,0.007098271,0.00720934,0.0070992014,0.0069668754,0.0071465313,0.007751318,0.008540987,0.009006224,0.008870383,0.008211958,0.0074361875,0.0068902276,0.006721728,0.0068638413,0.0071139704,0.0072748275,0.0072179013,0.007008489,0.006861603,0.0070433267,0.007696468,0.008712997,0.009791591,0.010658465,0.0111938855,0.011433255,0.011267878,0.010638729,0.009580426,0.008586866,0.008116166,0.008403623,0.009136949,0.009891853,0.010468404,0.0109419115,0.011522103,0.012133211,0.012795658,0.013597916,0.015157339,0.017925614,0.022091435,0.027100155,0.032215536,0.036615774,0.039509345,0.040120717,0.03799565,0.03371633,0.028564198,0.023987181,0.020498939,0.017928319,0.015835816,0.014194529,0.013196745,0.012833964,0.012675005,0.012202847,0.011336207,0.010496342,0.010205117,0.010561713,0.011196838,0.011538215,0.011231418,0.010243696,0.008866793,0.0075692018,0.006879412,0.0071066213,0.0081535755,0.009518246,0.010714726,0.011569284,0.012233603,0.012780433,0.013015994,0.012681889,0.011748356,0.01055482,0.009483416,0.008859479,0.009045606,0.010828986,0.015362191,0.022823682,0.03134339,0.03699276,0.03679889,0.030842735,0.022456622,0.0151635455,0.0106565915,0.0086434,0.008395149,0.009550098,0.011936322,0.01489042,0.017297098,0.01804758,0.016931975,0.014660399,0.012461334,0.011132424,0.010826383,0.011649142,0.014315392,0.02024962,0.029244868,0.038776617,0.043960724,0.042313214,0.034682028,0.025531754,0.018163284,0.013952701,0.012002976,0.011567495,0.012433532,0.014762494,0.018528076,0.023235803,0.02860186,0.034369413,0.040425863,0.04616569,0.0510494,0.05476746,0.057519827,0.059418473,0.060405076,0.060205117,0.058874175,0.056652877,0.054137558,0.05182399,0.05027241,0.04957345,0.049483214,0.04929385,0.048556387,0.047106832,0.0451809,0.04279844,0.04000783,0.03681086,0.033660118,0.030961879,0.029150477,0.028222017,0.028092595,0.028414497,0.028857375,0.0289673,0.028444715,0.02713523,0.025217978,0.023022443,0.021022884,0.019526228,0.018682929,0.018321944,0.018240899,0.018256119,0.018397069,0.018716553,0.019210652,0.019783571,0.02030016,0.020781776,0.021204626,0.021595612,0.021672316,0.021228328,0.019994387,0.018121267,0.015881745,0.013787349,0.012189914,0.011258196,0.010841007,0.010602452,0.01025622,0.009732851,0.009189642,0.00878794,0.00849883,0.008181632,0.0077749505,0.00753038,0.007689282,0.008221332,0.008616228,0.008441011,0.0076836087,0.006858175,0.0064497497,0.0066856253,0.0077860267,0.011443317,0.022329474,0.048876703,0.100021265,0.18002476,0.28317526,0.3951672,0.49791256,0.5762567,0.61999875,0.626303,0.6009621,0.55947024,0.51956755,0.4910632,0.46917188,0.44183215,0.4018172,0.35406467,0.30912125,0.27385157,0.24635817,0.22146995,0.19598544,0.17188615,0.1529268,0.1421655,0.13940336,0.14193948,0.14549327,0.14642178,0.14279646,0.13488413,0.12433525,0.1143901,0.10971764,0.11563269,0.13408147,0.16071594,0.1856268,0.19959204,0.1999142,0.19116728,0.18020177,0.17113996,0.16391845,0.15737952,0.15021564,0.14138752,0.12807451,0.10870749,0.0844965,0.061111182,0.044992227,0.041358247,0.051252156,0.07255148,0.09819021,0.1197728,0.1286261,0.1227886,0.10587821,0.08623073,0.06964172,0.05874893,0.05443054,0.05964887,0.0783141,0.11116028,0.15237771,0.19159518,0.21926314,0.23153864,0.23024756,0.21982671,0.20356523,0.18257505,0.15668653,0.12654497,0.09510028,0.0673627,0.048718017,0.04169223,0.045670073,0.057561386,0.07556602,0.09740124,0.11883899,0.13125889,0.12768014,0.107953705,0.080820456,0.057256237,0.044822354,0.045486186,0.059007097,0.083264746,0.11472851,0.1463931,0.17222078,0.18891959,0.19974972,0.2107627,0.22899383,0.25733462,0.29371834,0.33009103,0.35629812,0.364375,0.35251012,0.32407698,0.2842861,0.23770404,0.18825929,0.1407483,0.09961337,0.06805047,0.04616447,0.03263748,0.024998404,0.02129008,0.01969166,0.019248864,0.019292518,0.019526234,0.01955796,0.019195164,0.01839869,0.017409405,0.016471365,0.015741678,0.015180543,0.01465167,0.014032596,0.013348039,0.012758759,0.012437262,0.012377768,0.012349146,0.012059395,0.011392742,0.010528221,0.009762314,0.009330817,0.009282592,0.009585627,0.010063411,0.010468365,0.010508719,0.010167177,0.009671134,0.009326238,0.00923175,0.00929346,0.009493363,0.009898567,0.010597579,0.011353758,0.011769551,0.011454313,0.010450642,0.009115641,0.007969701,0.0072745034,0.007093914,0.0072816443,0.007772623,0.008447007,0.009225596,0.009970196,0.010656427,0.011325219,0.011914893,0.012272534,0.012164098,0.011646114,0.010823927,0.009913863,0.008983529,0.008228955,0.007813218,0.00785352,0.008275793,0.008883821,0.0095168175,0.010040097,0.010454769,0.010674257,0.010596123,0.010092381,0.009260104,0.008454184,0.008035758,0.008222818,0.008830566,0.009545043,0.009933133,0.009846412,0.009319185,0.008615422,0.007900963,0.007279122,0.0067550824,0.00639688,0.006278016,0.0065151597,0.007529994,0.011601702,0.025755785,0.063503824,0.14034753,0.26219192,0.4154679,0.5701104,0.69670886,0.7822136,0.831759,0.8560774,0.8609467,0.84574693,0.8104375,0.7591123,0.6986158,0.63319606,0.562443,0.48354328,0.39677492,0.3097883,0.23560178,0.18655449,0.16611971,0.16770959,0.17759423,0.18391086,0.18221994,0.17747927,0.17685509,0.18091474,0.18057138,0.16438226,0.13024975,0.087542586,0.050218016,0.025878735,0.013947307,0.009270102,0.0076935017,0.0073256255,0.007947001,0.01085112,0.019427123,0.039283276,0.074560426,0.12396622,0.17832671,0.22547926,0.2559825,0.2679679,0.2647239,0.25154218,0.23216037,0.20944478,0.18639797,0.16739237,0.15644197,0.1550058,0.16040231,0.1680395,0.17438816,0.17943807,0.18523939,0.19392549,0.20544338,0.21792163,0.22814424,0.23275466,0.22836663,0.21234107,0.18435211,0.1482007,0.11150277,0.08175235,0.0620449,0.050061386,0.04134477,0.03320345,0.025893321,0.021836475,0.024098983,0.035571273,0.056630954,0.083655946,0.1091238,0.12668006,0.13558553,0.14118665,0.14879696,0.15823841,0.16411473,0.16126733,0.148292,0.12715738,0.10068797,0.0735452,0.051773176,0.04224157,0.04720844,0.06437034,0.086092174,0.104752414,0.11298873,0.10803198,0.09104213,0.06808419,0.045883823,0.029134542,0.018913662,0.01419161,0.0142415315,0.019892544,0.033359412,0.055986013,0.08584592,0.11711059,0.14265035,0.15783502,0.16219018,0.15853842,0.15078102,0.1431169,0.13858254,0.13826056,0.14033563,0.14228794,0.14310716,0.1443506,0.14793085,0.15365928,0.15843232,0.15806167,0.14947373,0.13233346,0.10886025,0.08306273,0.059050415,0.039782923,0.026323937,0.018106291,0.013777685,0.0117997425,0.011056028,0.010736308,0.010495109,0.010053218,0.009390918,0.008561174,0.007855454,0.007492541,0.007598577,0.008082509,0.0087918015,0.009514497,0.010107778,0.0104979165,0.010743433,0.010911488,0.011017996,0.011012762,0.010811224,0.010462318,0.010033071,0.009686676,0.009341903,0.008899522,0.008190976,0.0073347692,0.006506928,0.005884224,0.005487708,0.005346304,0.0055429335,0.006148632,0.0070316195,0.007930989,0.0086098835,0.009125686,0.009587716,0.010013934,0.0101146735,0.009747181,0.009023555,0.008357087,0.007986219,0.0079259975,0.008066516,0.008330046,0.008698282,0.009049839,0.009308635,0.0093883425,0.009360257,0.009323693,0.009382198,0.009502816,0.009500806,0.00922598,0.008690984,0.0081343185,0.007824516,0.007888521,0.008255601,0.008704236,0.009031784,0.009116783,0.009050359,0.009130395,0.009790453,0.011438222,0.01427514,0.018212387,0.022507846,0.025935613,0.027332516,0.026855046,0.025883175,0.02586759,0.02675025,0.027162328,0.025971143,0.023395935,0.020693503,0.018740932,0.017554967,0.016578736,0.015591151,0.01478069,0.014538684,0.014928862,0.015713353,0.016423164,0.016755296,0.01661692,0.016171996,0.015508987,0.01456647,0.013176111,0.011384408,0.00952814,0.008063265,0.007293157,0.007288379,0.007902045,0.008808984,0.009536718,0.009863187,0.009979217,0.01048794,0.011632682,0.013227175,0.014641941,0.015503839,0.015593302,0.014997668,0.01407465,0.013464072,0.013748098,0.014716402,0.01554997,0.015255023,0.013765141,0.011805908,0.010387377,0.00982935,0.009729675,0.00954304,0.009137087,0.008849121,0.008992717,0.009599522,0.010373462,0.010905851,0.010916245,0.01034105,0.009471734,0.008911106,0.010209142,0.016473515,0.03301567,0.06528797,0.115543626,0.17873496,0.24345767,0.2957692,0.32543603,0.32801786,0.30547708,0.2641795,0.21371822,0.16343611,0.12010435,0.085992076,0.060794633,0.042886417,0.031029597,0.023740342,0.01971215,0.017652577,0.016762445,0.016405514,0.016098566,0.015425402,0.014393586,0.013278305,0.012542811,0.012272726,0.012297321,0.012180121,0.011726122,0.010942549,0.0101172365,0.009554015,0.00941172,0.009611222,0.009818233,0.00981491,0.009498172,0.009013594,0.008429732,0.0078558205,0.007421384,0.0073016547,0.00756943,0.007998222,0.008289187,0.00815363,0.007644575,0.0069479626,0.006443776,0.0064023384,0.0069608255,0.007892375,0.0087671885,0.009129924,0.008826586,0.008024214,0.0071488577,0.0066561834,0.0068578054,0.007805276,0.009157846,0.0104216635,0.010981382,0.010683446,0.0096369935,0.008469025,0.0075496067,0.007116336,0.0069261654,0.0068928287,0.0070014335,0.00742867,0.008124842,0.00886106,0.009342182,0.009477202,0.009392883,0.009307387,0.0093605565,0.009521277,0.009593873,0.009322328,0.008605309,0.007638885,0.006864721,0.006744331,0.007501093,0.009070587,0.011069571,0.013008323,0.014410359,0.015402193,0.016941518,0.020776192,0.027838469,0.037019413,0.045125384,0.04946955,0.050216395,0.050833136,0.055850714,0.06810385,0.08629217,0.10506699,0.11686956,0.11702397,0.10599071,0.08942768,0.07326632,0.061136205,0.053313013,0.05014302,0.05503441,0.07657083,0.12347007,0.19603062,0.27791765,0.34199134,0.36668858,0.35360113,0.32518372,0.3060727,0.3012059,0.29593995,0.27124736,0.22388558,0.16730076,0.12281803,0.102826476,0.105479725,0.11683589,0.12471358,0.12869269,0.13962364,0.16603561,0.20037244,0.22226922,0.21345598,0.17485273,0.122735195,0.07691618,0.04596233,0.028753249,0.01935656,0.014020004,0.010847074,0.009189636,0.008290046,0.0076666945,0.007127659,0.00684989,0.0069696326,0.007422423,0.007820043,0.007882451,0.0076512042,0.007557248,0.0078976825,0.00860468,0.009323589,0.009837805,0.010150522,0.010337495,0.010470646,0.010589395,0.010762299,0.010954189,0.011556034,0.013718071,0.019446624,0.030302584,0.046132386,0.06454316,0.08190497,0.094893254,0.101495914,0.101352535,0.0956324,0.08663156,0.07707792,0.0690474,0.06364843,0.060760837,0.059576515,0.058615696,0.056601852,0.05287843,0.047836736,0.042343076,0.03722925,0.032981828,0.029779144,0.027533943,0.025902545,0.0244537,0.022897257,0.021138927,0.019188983,0.01704465,0.014788352,0.012592549,0.010677482,0.009185983,0.008232546,0.007933726,0.008251256,0.008868769,0.009416654,0.010326591,0.013761356,0.023944229,0.046341598,0.0853628,0.14187808,0.21123545,0.28430974,0.3500391,0.39942968,0.42718756,0.43229032,0.4176061,0.39009342,0.36004722,0.33724213,0.32720926,0.3295538,0.34138227,0.36032167,0.38569793,0.4164447,0.44931614,0.4786,0.49769068,0.502011,0.49118814,0.46968254,0.4445462,0.4223727,0.40626302,0.3943994,0.3808025,0.3583629,0.32319,0.27669427,0.22443284,0.17260848,0.12583826,0.08687177,0.057127077,0.037004005,0.025907738,0.022593988,0.024513097,0.028038008,0.028978879,0.025631094,0.019094078,0.012684196,0.008467396,0.006818833,0.0068091634,0.00820623,0.011490035,0.016717725,0.022364624,0.025671506,0.024907798,0.020585887,0.015166722,0.010850728,0.008680809,0.009229846,0.013666485,0.02362164,0.03783204,0.05165409,0.058000285,0.054177795,0.04257609,0.030023707,0.02218899,0.02311223,0.034691628,0.054332297,0.07444274,0.08379341,0.077894926,0.06033719,0.041723233,0.028854372,0.023376493,0.02206537,0.022298465,0.02296011,0.024469389,0.0273835,0.031775195,0.037149582,0.04272308,0.047869146,0.05225143,0.055708904,0.05804512,0.05899535,0.058451146,0.05647115,0.053358346,0.049353976,0.044928882,0.040492933,0.03654197,0.03311589,0.030125529,0.027313033,0.02472957,0.022703275,0.022000706,0.023368357,0.026765177,0.030749433,0.03302914,0.032064114,0.028132046,0.022997746,0.018446244,0.015370917,0.01367694,0.012836739,0.012295964,0.011750867,0.011175587,0.010697615,0.01043656,0.0104181515,0.010528016,0.010558077,0.010520179,0.011253961,0.014535996,0.02319645,0.04060595,0.071900606,0.12165558,0.19157769,0.27313986,0.34933507,0.3989805,0.41118512,0.3899906,0.35352156,0.3206959,0.30268767,0.30043116,0.30991006,0.32651186,0.34502527,0.35950688,0.36411777,0.3567814,0.3399175,0.3197104,0.3030049,0.29475406,0.29601076,0.30406776,0.3144796,0.32307613,0.32592177,0.31840622,0.29675958,0.26223963,0.22291267,0.1892737,0.16682883,0.1536395,0.14418723,0.135294,0.12686564,0.11970097,0.113272496,0.106906444,0.10249909,0.10492864,0.12138746,0.15647954,0.20961529,0.2716451,0.32823864,0.36516225,0.376122,0.3651248,0.3429931,0.32019892,0.3027229,0.29318234,0.2940018,0.30703214,0.3300335,0.35398662,0.3666271,0.35934496,0.33291462,0.29633376,0.26120433,0.23555382,0.22179651,0.21805507,0.22075759,0.22659278,0.2327797,0.23632266,0.23228942,0.2152272,0.18306798,0.14202745,0.105501376,0.08666692,0.09002026,0.10823282,0.12833853,0.14012598,0.14316493,0.14455111,0.15250802,0.16796362,0.18361264,0.18994348,0.18604706,0.18486683,0.20567985,0.2585949,0.33307394,0.40559375,0.45507678,0.47440252,0.46420026,0.42601708,0.36115205,0.27842155,0.19428654,0.12601809,0.0822011,0.0623112,0.060640287,0.071658336,0.08881847,0.104596324,0.110263,0.101852976,0.08175025,0.058313165,0.03941946,0.029004833,0.026039263,0.027244024,0.029638672,0.033082634,0.041673362,0.06348737,0.105427034,0.16714172,0.23760252,0.3015127,0.34795,0.37740526,0.39922705,0.42780837,0.47429395,0.54135317,0.6166983,0.6784726,0.7039797,0.6822336,0.6164679,0.5231687,0.42417803,0.3381221,0.27136654,0.2186417,0.17101002,0.12553157,0.08558231,0.05571316,0.036588077,0.025678253,0.019752547,0.016628012,0.014992447,0.013998226,0.013098397,0.0121640405,0.011353799,0.010890008,0.010712419,0.010533008,0.010064743,0.009230184,0.008164578,0.0070298407,0.006056547,0.0054649655,0.005425021,0.005862527,0.0064545064,0.0068784934,0.0069791083,0.0069606095,0.0070783724,0.007542147,0.008177438,0.008682173,0.0087237535,0.00832655,0.0077567617,0.007372211,0.007314874,0.0074388045,0.007494556,0.007299414,0.006914376,0.0065309047,0.006417578,0.006777425,0.007701089,0.008978501,0.010135391,0.01061594,0.0103116175,0.009596885,0.00903089,0.008785208,0.008611404,0.008310552,0.007974475,0.008011587,0.008496129,0.00918638,0.009494933,0.009233052,0.008654009,0.008388647,0.008710018,0.009366073,0.009807726,0.009808018,0.00960259,0.009852038,0.011825763,0.018038586,0.03225807,0.058029633,0.09620439,0.14323936,0.19205116,0.23477907,0.26571563,0.28214905,0.28372255,0.27208242,0.25110593,0.22687417,0.20506771,0.18923448,0.180034,0.17746337,0.18089195,0.1890973,0.19955206,0.21067964,0.22259708,0.23727284,0.2555244,0.27646652,0.2962203,0.31020764,0.31311563,0.30171072,0.27426523,0.23281084,0.18240218,0.13187565,0.089826435,0.06166398,0.046959665,0.041779708,0.041482855,0.043015752,0.044803306,0.046059173,0.046362106,0.04558377,0.0439351,0.041771527,0.03940985,0.0375331,0.038256284,0.046859305,0.07213806,0.12420728,0.20886655,0.32227135,0.44991073,0.5723803,0.67359704,0.7453112,0.78557235,0.79571193,0.7806745,0.7505522,0.71800214,0.6912472,0.67095405,0.6546452,0.64423394,0.6451054,0.65864515,0.67506814,0.6786783,0.65868473,0.6180732,0.56935936,0.52442336,0.48590484,0.44810963,0.4036593,0.3498422,0.29077658,0.23536907,0.1931238,0.16950637,0.16292848,0.16621464,0.1711192,0.17290497,0.17069443,0.16499265,0.15597433,0.14382833,0.13019843,0.11771685,0.10862351,0.1039067,0.10346805,0.107271515,0.11515781,0.12766473,0.14691497,0.1764574,0.21805282,0.2665124,0.3111265,0.34204522,0.3583475,0.36735407,0.37777653,0.39334837,0.4105773,0.42157102,0.41595292,0.38513735,0.32684222,0.24905466,0.16832279,0.101200186,0.056396175,0.032019217,0.020950047,0.016668055,0.016195692,0.018888416,0.02441082,0.032746077,0.04503842,0.06446647,0.09466839,0.13730188,0.18913883,0.24065167,0.2786605,0.2939044,0.28961083,0.2801046,0.2796617,0.2889814,0.29666403,0.28894445,0.26172367,0.21905743,0.16964167,0.12100407,0.07997168,0.050518256,0.033509698,0.0259241,0.023463435,0.022460602,0.021482676,0.021062337,0.023618348,0.032079,0.048704207,0.07258786,0.09960649,0.12305168,0.1370597,0.13884857,0.12979418,0.11480058,0.09951035,0.08951751,0.08745739,0.09449276,0.10870085,0.12770368,0.14742337,0.16386805,0.17264201,0.17088024,0.15779206,0.13527654,0.10717473,0.07842562,0.053481523,0.035069518,0.023266613,0.01642841,0.012464269,0.010071658,0.008684479,0.008086119,0.00805594,0.008387814,0.008964679,0.0096888095,0.010320189,0.010506502,0.010007534,0.008965005,0.00785214,0.007160071,0.007099236,0.0075091696,0.008138269,0.008752491,0.009295196,0.009658861,0.009846549,0.009884772,0.009925247,0.010044482,0.010194237,0.010345636,0.0104011735,0.010408658,0.010233071,0.009945949,0.009539521,0.009206645,0.008958372,0.008797207,0.008677833,0.008619097,0.008660096,0.008688387,0.008609752,0.00840634,0.008287564,0.008411512,0.00874249,0.009082694,0.009276569,0.009368807,0.009451978,0.009554337,0.009562119,0.009341028,0.008896254,0.008374462,0.008019358,0.007922974,0.007986666,0.00802465,0.007937506,0.007871269,0.007913754,0.00810584,0.008246678,0.00829021,0.00824502,0.0082099,0.00818774,0.008166786,0.00829593,0.008709441,0.009446763,0.010243212,0.010795611,0.010864421,0.010377809,0.009477083,0.008459148,0.00774199,0.0075917304,0.008034411,0.008932314,0.010016405,0.011132106,0.011931534,0.012223498,0.011746044,0.010780948,0.009711268,0.0090320455,0.008744952,0.008682019,0.0086580515,0.008690505,0.008766019,0.008731171,0.00845623,0.008030967,0.007799756,0.007990214,0.008510228,0.008883557,0.008759485,0.008186565,0.0076575684,0.007557465,0.007839893,0.008179534,0.008390521,0.008725964,0.009403918,0.010381922,0.011068459,0.011066093,0.010301616,0.009346958,0.008700824,0.008618694,0.008848407,0.009031825,0.008971571,0.008701197,0.008394255,0.0081332335,0.0079963915,0.008049972,0.008359201,0.008882153,0.009568264,0.012532868,0.02483516,0.06087448,0.1353095,0.252973,0.39856458,0.5446847,0.66531605,0.7508769,0.80518174,0.836916,0.8487852,0.83611846,0.7914745,0.7148511,0.62170416,0.54208624,0.50521153,0.522047,0.57747096,0.64362866,0.6985454,0.73808163,0.77062815,0.80383664,0.8335662,0.8414355,0.8042388,0.7093251,0.5670816,0.4086345,0.26838002,0.16782661,0.11091727,0.094804995,0.11486206,0.16395672,0.22387964,0.27084962,0.2856723,0.2669697,0.22770041,0.18605281,0.15353133,0.13390277,0.12545107,0.124901295,0.12740308,0.12752111,0.121058404,0.10860739,0.09700042,0.098561905,0.12547757,0.18000858,0.24798937,0.30257282,0.3219893,0.3023685,0.25909126,0.2117929,0.1737919,0.14834735,0.13350132,0.12565787,0.12139813,0.118458726,0.115703754,0.11294096,0.10989252,0.10610756,0.10123473,0.09513787,0.08789897,0.079462014,0.06998436,0.05984326,0.049835954,0.04063946,0.032649953,0.025834532,0.02028728,0.01657695,0.015853887,0.018797018,0.02446661,0.030080175,0.032761324,0.031660117,0.028326003,0.024956854,0.022791402,0.022131873,0.023666352,0.027971305,0.034990948,0.043794584,0.055855643,0.07552489,0.10763925,0.1508042,0.19596998,0.23045044,0.24647911,0.24469577,0.2320388,0.21570317,0.19967705,0.18508057,0.17263238,0.16384219,0.15911439,0.15560669,0.14754324,0.13041632,0.10490942,0.077311374,0.055877913,0.046758387,0.051668923,0.0676442,0.087901235,0.10421055,0.110306345,0.104327984,0.08898634,0.06922749,0.05043822,0.036655884,0.03025412,0.030683348,0.035414606,0.04095784,0.045783922,0.050135598,0.055073235,0.059752684,0.062202733,0.06072424,0.055825666,0.048983786,0.04159641,0.03407869,0.026852189,0.02060916,0.016427197,0.015468888,0.01885359,0.028244168,0.044804607,0.06770733,0.09106114,0.106852956,0.110507585,0.10770559,0.10963493,0.12500109,0.15168463,0.18140954,0.20535947,0.2203467,0.22679581,0.22744168,0.22529827,0.22313477,0.22285725,0.22415614,0.2264502,0.2293114,0.23509842,0.24480903,0.2562493,0.26067516,0.24907053,0.2178875,0.17434585,0.13128792,0.099731185,0.082842946,0.077216215,0.07707166,0.077234976,0.07439985,0.06702799,0.05621503,0.044662338,0.035376977,0.029594235,0.026711559,0.025080903,0.023359269,0.021057308,0.018496772,0.016244007,0.014654517,0.013598658,0.0127039105,0.011630237,0.010352411,0.0090911575,0.008109606,0.00749141,0.007093094,0.0067287274,0.0063468996,0.0060799657,0.006076015,0.0063417014,0.006713985,0.0070130243,0.007144043,0.0071729016,0.0071596447,0.0071621747,0.007123487,0.007072007,0.0070084496,0.006981837,0.0069697592,0.0070984396,0.0075405114,0.008387824,0.0093308175,0.009924062,0.009880426,0.009433207,0.008921363,0.008616112,0.008416503,0.008283715,0.008152575,0.008104526,0.008016889,0.0078045484,0.0074068843,0.0070159757,0.006856398,0.0070603355,0.007587634,0.008354526,0.009352818,0.010466156,0.011374717,0.011585071,0.010922123,0.0096202,0.008241574,0.007148571,0.0064867227,0.0061505195,0.0060394094,0.006056992,0.006239882,0.006754493,0.0076540285,0.008730952,0.009455681,0.009559183,0.00916859,0.008821722,0.008788918,0.009020654,0.009176414,0.009128707,0.0088663995,0.008494821,0.008046335,0.007724022,0.008375031,0.0117178215,0.020238155,0.03488003,0.053478222,0.06982654,0.07755809,0.07356004,0.060364734,0.043609392,0.028737113,0.01846086,0.012704994,0.0100202365,0.008874155,0.008434933,0.008354996,0.008516596,0.009062394,0.011879046,0.022170344,0.049076468,0.10079354,0.17856264,0.27163962,0.36218467,0.4318072,0.4687501,0.4679155,0.43211222,0.3713088,0.30117103,0.2364226,0.18532562,0.1481988,0.12126159,0.100565016,0.08372813,0.06923003,0.055938195,0.04330882,0.031808633,0.022421382,0.015790904,0.011739947,0.009604204,0.008654765,0.008371131,0.008338329,0.0082955025,0.00807253,0.0077177635,0.0073531535,0.0071716025,0.0072288625,0.0075666183,0.00817965,0.009116144,0.010199749,0.011104919,0.011427569,0.011176884,0.0106029175,0.010083473,0.009656671,0.009273631,0.008813411,0.008322059,0.007876412,0.0076701683,0.007858277,0.008435006,0.009105172,0.009525091,0.009520937,0.009160812,0.008529023,0.0076984954,0.006865286,0.006385584,0.0065540317,0.007214594,0.007955517,0.008402004,0.008751445,0.009404205,0.010667852,0.012157767,0.01316842,0.013062154,0.011890261,0.010242831,0.008820868,0.007968207,0.0076052225,0.0075369943,0.007663851,0.008073967,0.008821696,0.009770528,0.010532793,0.010792345,0.010542966,0.01015015,0.009871115,0.009692646,0.0093429,0.00875122,0.008104339,0.0076469374,0.007480154,0.0074316044,0.007380543,0.0071668443,0.0068370453,0.0064625717,0.0063250777,0.0066497936,0.0074504013,0.008436202,0.009201643,0.009565301,0.009526081,0.009298168,0.009147544,0.009543697,0.010750346,0.0126326755,0.014396615,0.015316915,0.015104414,0.0142564885,0.013324366,0.012708227,0.01245623,0.01264752,0.013346043,0.014345206,0.015267718,0.015655942,0.015616026,0.015442028,0.015592105,0.016088389,0.016957238,0.01833819,0.020674957,0.023987098,0.027497267,0.02988133,0.030460922,0.029962324,0.030290341,0.03343636,0.040767178,0.052461356,0.067586266,0.082848765,0.09369228,0.09537614,0.088450395,0.07930129,0.07967574,0.09666836,0.1284033,0.16087395,0.17942946,0.17536533,0.15315874,0.12311009,0.09690567,0.08022904,0.07416058,0.07634994,0.08506736,0.09876261,0.11433337,0.12590139,0.12811063,0.12096763,0.110775,0.1061646,0.11155201,0.12356261,0.13231377,0.12781154,0.107415825,0.07827925,0.05224311,0.037717126,0.03495281,0.03911507,0.045483947,0.054804314,0.07290838,0.109086335,0.17097485,0.26111078,0.37333152,0.49386367,0.60562533,0.69579023,0.76049066,0.8044784,0.8359053,0.8616274,0.88455826,0.9028048,0.90800244,0.8875037,0.83247906,0.7489099,0.6588401,0.58680576,0.54199386,0.51304203,0.48147035,0.43884984,0.39106703,0.3477324,0.30993214,0.271813,0.22986,0.19123258,0.16614164,0.1589225,0.16201597,0.16524595,0.16222055,0.15325643,0.13908868,0.119302124,0.09376579,0.06600229,0.04164816,0.024834916,0.01573114,0.011880825,0.010676111,0.01101504,0.0131799355,0.018018201,0.026876802,0.041591406,0.06458702,0.09623402,0.13228449,0.16303883,0.17814656,0.17310922,0.15213694,0.12507051,0.101022065,0.08556748,0.08053571,0.08598048,0.09972161,0.116957806,0.13009691,0.1317526,0.11848357,0.093615524,0.065005,0.04064393,0.02428986,0.015707493,0.012423565,0.012108204,0.0129847815,0.014187795,0.015442374,0.016847035,0.018307505,0.019560233,0.020541843,0.021587243,0.023191413,0.025313431,0.027303,0.028110178,0.027148122,0.024533449,0.021144077,0.017935542,0.015642649,0.014381091,0.013990036,0.014175138,0.015236032,0.017788595,0.02240512,0.028396258,0.03398474,0.036974374,0.036255416,0.03209079,0.026003383,0.019882312,0.015614439,0.014312643,0.016198223,0.020115158,0.024371497,0.027016072,0.027224755,0.024936184,0.021266684,0.017357886,0.014391575,0.012744038,0.012137662,0.011848421,0.011301088,0.010444045,0.009470609,0.0086252345,0.008090858,0.008023062,0.008605801,0.00964461,0.010832638,0.011600302,0.011776493,0.011317696,0.0105814105,0.009832573,0.00935862,0.009228201,0.0094974,0.0100913355,0.010880581,0.011554986,0.011914677,0.011879869,0.011687397,0.012039046,0.015200592,0.026153376,0.051890522,0.097338974,0.15989085,0.22740807,0.28380597,0.31773612,0.32875088,0.32320225,0.3069477,0.2798406,0.23953365,0.18754333,0.1324308,0.086395144,0.059681665,0.056272905,0.07259455,0.098454714,0.121220745,0.13122988,0.12653793,0.11277857,0.0994638,0.093524225,0.09606057,0.10171106,0.10488098,0.10405493,0.105823256,0.118751176,0.14829098,0.19056182,0.23698449,0.27869058,0.31127858,0.33212748,0.3391063,0.33133087,0.31239355,0.2899723,0.27166083,0.2604501,0.25403574,0.24794392,0.23939092,0.22915637,0.22001451,0.21396321,0.20950411,0.20228927,0.18739049,0.16277073,0.13041982,0.095598735,0.06419549,0.040243503,0.024660582,0.015827367,0.011210899,0.008836809,0.007604879,0.007060582,0.0068794643,0.0068602357,0.006799493,0.0065828864,0.0061596013,0.0056561753,0.0053476566,0.005474931,0.0060887807,0.007010767,0.007972297,0.008703217,0.008998795,0.008799682,0.00824923,0.007619003,0.00715591,0.006954163,0.006992754,0.0071657207,0.0073921406,0.007696966,0.008134656,0.008703575,0.009134814,0.009335704,0.009343096,0.009748726,0.011953917,0.020231007,0.04247686,0.0875057,0.15747817,0.24237616,0.32287022,0.38193431,0.4145716,0.42835557,0.433164,0.4317192,0.41667965,0.3788248,0.3165724,0.24025576,0.16621187,0.10722492,0.06721956,0.042735133,0.028203333,0.019289244,0.0137726655,0.010475554,0.0086348085,0.007606624,0.007111214,0.007158525,0.00784655,0.008922937,0.00984577,0.010079416,0.00963895,0.008916583,0.008416168,0.008259151,0.008437564,0.008845801,0.009524178,0.010334647,0.011056565,0.011316516,0.011036574,0.0104399,0.010058191,0.01015924,0.010624389,0.010942149,0.010799055,0.010174093,0.009415959,0.008740026,0.008226555,0.0077472557,0.0072962493,0.0069372,0.006731789,0.0066272956,0.006499139,0.00631034,0.0060870717,0.0059589315,0.0060767834,0.0066132,0.007630141,0.009026966,0.010851995,0.014424768,0.023554467,0.044335753,0.08130966,0.13292281,0.18897735,0.23480344,0.25728998,0.2514792,0.22181457,0.18033046,0.14029275,0.11052131,0.093111664,0.085356176,0.08322403,0.08238421,0.07939605,0.07209533,0.061081022,0.048577327,0.037289523,0.028722046,0.023215054,0.020113299,0.018465387,0.017402992,0.016463649,0.015600558,0.014989972,0.014852759,0.015306604,0.01640785,0.017969199,0.019479688,0.020141726,0.019480137,0.017725604,0.015738683,0.014341928,0.013922371,0.014387566,0.015417668,0.016544862,0.01731959,0.017423032,0.01698299,0.016694352,0.017542936,0.020058066,0.023613984,0.026840435,0.028716275,0.02923966,0.02937585,0.029926943,0.03165209,0.033823293,0.03517385,0.033382315,0.028280353,0.021260135,0.015397825,0.012175399,0.011566074,0.012200828,0.012996159,0.01333417,0.013019457,0.012061454,0.010632307,0.009057882,0.0077372175,0.007128839,0.007590341,0.009310885,0.011895236,0.014636531,0.016606696,0.017776608,0.01883001,0.021093646,0.02463702,0.028311482,0.029927224,0.028746739,0.02543714,0.02187411,0.019000772,0.017086178,0.01569884,0.014754274,0.014094963,0.013718772,0.013436629,0.013237469,0.013167836,0.013448227,0.014216418,0.01531087,0.016341424,0.016868731,0.016830517,0.016392294,0.01589443,0.015477478,0.015181761,0.014851187,0.014397864,0.013736439,0.013062009,0.012644184,0.012874304,0.013696865,0.01470625,0.015160321,0.014764822,0.013748233,0.012751322,0.0121615045,0.011927262,0.01174679,0.011432058,0.011107367,0.011031202,0.011417153,0.012277972,0.013446193,0.014641372,0.015556817,0.016043,0.016136205,0.015984297,0.015631704,0.015048109,0.014313663,0.013670656,0.013362563,0.013275064,0.013063981,0.012370251,0.011316792,0.010344272,0.0099432245,0.010125124,0.010464787,0.010458375,0.01002417,0.009578493,0.009715668,0.010919102,0.014077216,0.021186287,0.035260078,0.05797701,0.08699504,0.115257286,0.13411619,0.13778268,0.1259753,0.10346604,0.077864066,0.057453707,0.048983514,0.055291396,0.07348477,0.09586506,0.11366389,0.12128105,0.117834635,0.106930524,0.095759295,0.09453124,0.112347245,0.15274212,0.21062393,0.27600572,0.33729413,0.3844844,0.40930495,0.40872982,0.385604,0.34707132,0.29867193,0.24364348,0.1847599,0.12807511,0.08067851,0.047774155,0.029850006,0.023966983,0.025738545,0.0320597,0.043542042,0.064726524,0.10056523,0.1501845,0.20441611,0.2499932,0.2777852,0.2870808,0.28341186,0.2728037,0.25885752,0.24351956,0.22892211,0.21750577,0.21015584,0.20573612,0.20152839,0.19540511,0.18634014,0.1743501,0.15932108,0.14062685,0.11796252,0.09238497,0.06690446,0.044925485,0.028785927,0.01857113,0.0129703535,0.010193422,0.009021153,0.008860297,0.009578738,0.010950041,0.012408567,0.013214119,0.013060548,0.01233241,0.011694639,0.011376291,0.010971482,0.009997003,0.008451049,0.0069196043,0.006065473,0.0062807146,0.0074029234,0.008982708,0.010374811,0.011279599,0.011636659,0.01168339,0.011524554,0.011150296,0.0105632255,0.009809553,0.0091729835,0.008771952,0.008759568,0.0090329135,0.009599914,0.01041383,0.011382892,0.012387298,0.013836972,0.017681858,0.028184725,0.05164811,0.09479322,0.16144925,0.24911606,0.3476566,0.4423114,0.52126825,0.58165973,0.6308146,0.678423,0.7280783,0.7720172,0.79641813,0.7899278,0.7521725,0.6932456,0.62861705,0.56984013,0.5197155,0.47131884,0.41392973,0.3412802,0.25807732,0.17919083,0.12143273,0.09458914,0.09675384,0.11649839,0.13744181,0.14537835,0.13378258,0.10708154,0.076390915,0.052536175,0.039924312,0.03690215,0.039252028,0.0436411,0.048320223,0.052733123,0.057285447,0.06383351,0.07476931,0.09196397,0.11462154,0.13938813,0.16060306,0.17302395,0.17434366,0.16669208,0.15459013,0.14079584,0.12460279,0.1041108,0.08021925,0.057504553,0.04133786,0.034582686,0.036367893,0.04316145,0.05085573,0.056351367,0.059203833,0.06053835,0.061939154,0.06284224,0.061391026,0.055516142,0.045386672,0.03319887,0.02212215,0.014751665,0.012916776,0.018208057,0.031397335,0.050948005,0.072026305,0.08848495,0.09609669,0.094372176,0.08545267,0.07240133,0.05892457,0.04991378,0.050417017,0.06315733,0.086321644,0.114306666,0.14024287,0.15919001,0.16929404,0.17135894,0.16699618,0.15729235,0.1424719,0.12281244,0.099691756,0.075910665,0.05475268,0.038598813,0.027969813,0.021853313,0.018611494,0.01697123,0.016245833,0.01621355,0.01670585,0.017430065,0.017977282,0.018082477,0.017817637,0.01762438,0.017940002,0.018960224,0.020240048,0.021109974,0.020822018,0.01938005,0.017237494,0.015207962,0.013622016,0.012495711,0.011742252,0.011529281,0.01200354,0.012881813,0.013537441,0.0134450635,0.012626566,0.011518746,0.010704742,0.010616571,0.011474292,0.0130901635,0.014920632,0.016232371,0.01657702,0.016019652,0.015110139,0.014527959,0.014724753,0.015747674,0.017229566,0.018618556,0.019396024,0.019505642,0.019240946,0.019139968,0.01950278,0.020678116,0.023126481,0.027202254,0.03261335,0.038193192,0.043495864,0.049338568,0.058951605,0.075176306,0.10073563,0.13558577,0.17912038,0.22791098,0.27600682,0.3143326,0.33253625,0.32736754,0.30357862,0.27845728,0.26488867,0.26779494,0.27260277,0.26425996,0.23464207,0.19472295,0.15999208,0.1413222,0.13728754,0.14169718,0.1489517,0.15688509,0.16322418,0.16548787,0.16021115,0.14679097,0.12630196,0.103176355,0.080900796,0.06277378,0.04954742,0.042480554,0.041588638,0.046460584,0.054224223,0.061993334,0.06742733,0.07071749,0.07244834,0.07340855,0.07244206,0.06879348,0.061834514,0.05342036,0.0456637,0.040936407,0.03994729,0.042232692,0.04649732,0.051085126,0.055761967,0.06319367,0.080889374,0.11901202,0.1830038,0.2671393,0.35291862,0.42041743,0.45861992,0.47218788,0.47433066,0.477857,0.48745075,0.5008968,0.51481605,0.53174186,0.55945605,0.6040931,0.6594282,0.708026,0.73148185,0.72552705,0.7024514,0.682535,0.68143964,0.70185834,0.7333419,0.75601906,0.7526305,0.7184353,0.6664911,0.6177514,0.58780795,0.5767045,0.5716768,0.5563017,0.52045524,0.46425536,0.39573386,0.32477334,0.25802502,0.19780625,0.14486231,0.100572325,0.067019515,0.044610053,0.031590205,0.024809703,0.02177684,0.020954154,0.021534763,0.022744598,0.023819402,0.02422645,0.02376403,0.02260352,0.021008676,0.019246653,0.017427186,0.015579711,0.013765942,0.012204298,0.011164445,0.010762942,0.010790377,0.010933404,0.010947741,0.0107983975,0.01049117,0.010083247,0.009785995,0.01017845,0.011947419,0.015593524,0.02053722,0.025505887,0.028690135,0.029416764,0.027838448,0.025076112,0.021830464,0.018643888,0.01570538,0.013293213,0.011556138,0.0104840575,0.009925773,0.009580585,0.0092492355,0.00881864,0.008453694,0.008279968,0.008367773,0.008667265,0.00922452,0.010176387,0.011459128,0.012714685,0.013320814,0.012957688,0.011748596,0.010295428,0.009156525,0.008614606,0.008538177,0.008669581,0.008751049,0.008698121,0.008507584,0.008359415,0.008379597,0.008600455,0.008723495,0.008495074,0.007832038,0.007074922,0.006592004,0.0065850937,0.0068968167,0.0072135697,0.0073370007,0.0072714393,0.0072384165,0.007394387,0.0077333637,0.008014119,0.007961757,0.0075376076,0.0069443523,0.0065371846,0.0065459427,0.0073337927,0.0097026955,0.015256354,0.025557498,0.041025933,0.05995031,0.0802736,0.10158504,0.1264051,0.15723878,0.19343038,0.22995906,0.26057068,0.28252825,0.29828987,0.31346583,0.3308339,0.34804174,0.35860157,0.358395,0.34812167,0.33291328,0.31597814,0.29666176,0.2712413,0.23931915,0.20589979,0.17967252,0.16667509,0.16650045,0.17290866,0.17733294,0.17396645,0.16301161,0.15278228,0.15540792,0.17987786,0.22565258,0.28395775,0.34320784,0.3947022,0.4342732,0.46301118,0.48518386,0.505959,0.52644485,0.5436358,0.5521993,0.5491482,0.5344693,0.510656,0.48191312,0.454306,0.43442354,0.42540553,0.42419517,0.42280915,0.4136505,0.39388826,0.36527732,0.33066964,0.2907587,0.24508691,0.19508786,0.14624776,0.10573981,0.07830665,0.06349436,0.056977376,0.05357689,0.050195336,0.046979684,0.047525685,0.057090838,0.07895541,0.111100905,0.14602913,0.17524911,0.1930403,0.19763373,0.18866138,0.16685127,0.13517748,0.099993445,0.068652816,0.04580863,0.03177652,0.023806749,0.018951427,0.015431311,0.012815741,0.011067949,0.010197251,0.010042679,0.01037966,0.010929771,0.011446133,0.011880622,0.012336844,0.012891829,0.01345836,0.013792033,0.013766448,0.013334333,0.012613903,0.01166824,0.010633159,0.009607073,0.008747446,0.008158715,0.00799254,0.008278434,0.00894595,0.00959529,0.009920645,0.009724297,0.009339192,0.009015547,0.008989179,0.009043696,0.009071392,0.008962461,0.008829676,0.008736166,0.008681187,0.008609391,0.008370147,0.007919362,0.0072598904,0.006602883,0.0061067804,0.005873317,0.0058396794,0.0059780404,0.0062723034,0.0067736474,0.0073933587,0.00803411,0.008445836,0.008536271,0.008204212,0.007638859,0.0069958344,0.006535698,0.006331071,0.0063831345,0.006503573,0.006467406,0.0062015075,0.0058271904,0.0055706557,0.0055175438,0.005682763,0.006106365,0.0067870193,0.0076212026,0.008271408,0.008541665,0.008330964,0.007853384,0.0073004873,0.0069064707,0.006705569,0.0066314056,0.0065528206,0.0064385454,0.0063644163,0.006409058,0.0065061785,0.0065428764,0.006422547,0.0062676617,0.006188192,0.00628159,0.006462537,0.006643137,0.0067144516,0.006596642,0.006290617,0.005894907,0.0056246775,0.005553305,0.005605269,0.005554427,0.0053424593,0.0050504874,0.004854277,0.0047640763,0.0047043874,0.0045646937,0.0043435614,0.0040618037,0.0037737798,0.0035323107,0.0034170554,0.003470021,0.0036213456,0.0037273306,0.0036197116,0.0033023946,0.002881874,0.002558653,0.0023996728,0.0023872636,0.002405302,0.0023858303,0.0023271656,0.002302613,0.0023733694,0.0025268958,0.0026787582,0.002749929,0.002712697,0.0026038825,0.0024846646,0.0023949223,0.002333771,0.0022482367,0.0021273016,0.0019759673,0.0018441648,0.0017123641,0.0015742042,0.0014044241,0.0012355888,0.0010701865,0.00091857224,0.00077158766,0.00064829626,0.0005627443,0.00051812286,0.0004909711,0.0004544293,0.00039380565,0.0003187642,0.00024627522,0.00019529149,0.000173156]