[0.011407295,0.010197254,0.007907231,0.0058196015,0.0050112386,0.0056460574,0.007064505,0.008089985,0.007962464,0.006709702,0.005178845,0.004269976,0.004371015,0.005502365,0.007679911,0.011475268,0.016908208,0.022997253,0.027129395,0.027291512,0.023130639,0.016794726,0.011035957,0.008326193,0.010069945,0.016391138,0.025183087,0.03232245,0.033835854,0.028912121,0.020467313,0.012962203,0.009274482,0.0097965775,0.013730064,0.020719144,0.030702451,0.04168855,0.049173325,0.048646104,0.04042741,0.030846596,0.028755605,0.039558966,0.06124432,0.084647775,0.09780582,0.093221985,0.07362886,0.051146213,0.040242095,0.04837386,0.07177696,0.09856433,0.11503994,0.114150204,0.095852874,0.06842022,0.04057905,0.020312764,0.009132107,0.005783774,0.0069739297,0.011468199,0.01917147,0.030211383,0.04283272,0.053274844,0.05739641,0.053362668,0.04297771,0.030544044,0.020509882,0.015970744,0.018724859,0.028769761,0.04380916,0.059429627,0.071767904,0.08028271,0.08639281,0.09148083,0.09297916,0.08832117,0.07553579,0.05755772,0.038257305,0.022461535,0.012333337,0.0083225025,0.008438591,0.009958021,0.010415014,0.008983225,0.0063734134,0.004542943,0.0059295683,0.0141675845,0.032163892,0.06059737,0.092699766,0.11740772,0.1229681,0.10813993,0.08090482,0.055302467,0.039253134,0.03303599,0.03048844,0.026841214,0.021193298,0.016380416,0.014947196,0.017330704,0.021761954,0.026880035,0.032534987,0.040067833,0.04979225,0.060507923,0.0694265,0.07584217,0.08083024,0.08677182,0.092710644,0.09678588,0.09559789,0.08811807,0.07323181,0.053881485,0.034946773,0.022929141,0.019407893,0.02151438,0.023939058,0.024819262,0.026120173,0.03146556,0.041234583,0.051480394,0.05619577,0.05284297,0.044975143,0.040448982,0.044444438,0.05556628,0.066563815,0.07145372,0.06875735,0.061898034,0.054959346,0.051431086,0.052527193,0.057454508,0.063383214,0.06814521,0.0712502,0.07357335,0.07404241,0.070210814,0.05966429,0.04440151,0.029308066,0.020266583,0.019249247,0.024492407,0.03174901,0.037394207,0.03930597,0.03674947,0.030251587,0.0222518,0.016646128,0.017134657,0.023409702,0.031296443,0.034511458,0.030965576,0.023295516,0.017779196,0.017803818,0.022630638,0.027534744,0.02922071,0.028386883,0.030621365,0.040882643,0.057895225,0.07268988,0.075321436,0.064064786,0.046964314,0.03553705,0.034878556,0.04150774,0.04733439,0.046900854,0.04019464,0.030790715,0.021917468,0.014951207,0.010619561,0.011132069,0.019132236,0.03524665,0.05483519,0.0700913,0.07451483,0.0686082,0.057686474,0.04745665,0.03906733,0.03236313,0.027870232,0.027288526,0.029566638,0.031011065,0.028444743,0.022383207,0.016935317,0.016870117,0.024576766,0.038619775,0.054163665,0.06654794,0.073854186,0.078137726,0.08252734,0.08871082,0.09540993,0.09975777,0.09987537,0.09657684,0.09374394,0.09603822,0.10640466,0.12347674,0.14105211,0.15131414,0.14963754,0.13998349,0.13350485,0.14104296,0.16410328,0.19156374,0.20982657,0.21019441,0.19540952,0.1701972,0.14093809,0.11116156,0.08802908,0.07973533,0.09473109,0.1357348,0.19130601,0.23920588,0.25367394,0.22941788,0.17972107,0.12949252,0.09182882,0.0689835,0.058671683,0.062429,0.08407507,0.121409394,0.1645037,0.19480999,0.19679725,0.16735168,0.12206159,0.08247697,0.061843555,0.056149703,0.054841746,0.049644317,0.041611433,0.034501027,0.031997878,0.033883005,0.038020413,0.042018563,0.044869002,0.047809247,0.05147134,0.055729102,0.05901837,0.06264204,0.06873437,0.07876734,0.08928382,0.095873624,0.0964664,0.09229106,0.085082896,0.0753198,0.065768845,0.06141746,0.06571352,0.07599092,0.084409475,0.08640534,0.08233901,0.07692445,0.072231494,0.06883391,0.066639185,0.0667755,0.06984485,0.07504907,0.079997696,0.08183179,0.07741162,0.06635188,0.05129477,0.03814727,0.031478506,0.032584745,0.039955523,0.0521168,0.06915543,0.090692334,0.11390821,0.13462894,0.1489694,0.15543209,0.15284728,0.14240593,0.12745665,0.11404619,0.10700592,0.10846142,0.116387844,0.12473416,0.12406853,0.10823756,0.07942726,0.048703905,0.027073227,0.01912494,0.022430295,0.030667132,0.03825709,0.041459218,0.04262471,0.046257745,0.055247705,0.065880276,0.07308354,0.07693468,0.082026154,0.09114089,0.10040179,0.104675055,0.102933556,0.09837965,0.09509773,0.095283985,0.10118804,0.11119684,0.12019646,0.11888605,0.10397484,0.07908483,0.054549098,0.036971424,0.028538115,0.026748411,0.030331634,0.03787609,0.04868106,0.0593098,0.06700773,0.068225764,0.06294539,0.05180384,0.038177926,0.024657814,0.013895873,0.0067819194,0.0032256835,0.0022512602,0.002881758,0.0048160977,0.008304308,0.013796202,0.020271076,0.025486087,0.02638259,0.02243911,0.015466385,0.009344913,0.0066250158,0.008286203,0.0134762935,0.020575037,0.027818695,0.03335677,0.036123503,0.035443336,0.032415096,0.02929499,0.029326776,0.034058202,0.04268674,0.051884595,0.058604937,0.061090365,0.06018396,0.05749425,0.055564106,0.056670874,0.062262733,0.07064479,0.076663226,0.07523304,0.06594785,0.054241758,0.047004435,0.046621636,0.050316963,0.052582372,0.050720636,0.04450779,0.036380146,0.027923936,0.020957014,0.016090915,0.013649703,0.012513603,0.011407063,0.009752568,0.008424395,0.008750031,0.010941957,0.013545501,0.014450803,0.012682612,0.009059976,0.005378131,0.003133726,0.0029243492,0.0048360233,0.008137639,0.011949908,0.015272367,0.019092783,0.024487257,0.032067325,0.038977772,0.042994376,0.04364644,0.04480176,0.048586607,0.053725034,0.054381337,0.047141206,0.03332499,0.018825114,0.008372289,0.0031952208,0.0014837523,0.0011861628,0.0013016815,0.001838083,0.0032667697,0.006249035,0.010838911,0.015973063,0.019403683,0.019427503,0.016454445,0.013433154,0.01419768,0.020585554,0.030964872,0.040788267,0.046693426,0.04897273,0.05133681,0.0558143,0.060648788,0.06157892,0.056793768,0.047715705,0.037168637,0.026833506,0.017485837,0.010023919,0.005378434,0.0039814,0.0055988953,0.009264973,0.013444635,0.015994871,0.016075758,0.014572286,0.0146805495,0.019098528,0.02925025,0.042688016,0.055442482,0.062429428,0.06177655,0.053637415,0.041166354,0.027702862,0.016912326,0.010663799,0.008755353,0.009025745,0.009257645,0.008533112,0.007729813,0.00858286,0.01292225,0.02048067,0.02864555,0.032720383,0.030163245,0.022185216,0.0138518745,0.0099816425,0.012495236,0.019485394,0.026499629,0.0297156,0.028324774,0.02626519,0.028909093,0.03883922,0.05216213,0.061283488,0.06023076,0.049269047,0.03361656,0.019426277,0.010109679,0.0061692744,0.006252332,0.008335584,0.010278821,0.010786685,0.010150592,0.009737525,0.010610812,0.012404457,0.014015879,0.014578182,0.014057181,0.012580763,0.0103420075,0.007974906,0.006969772,0.009268329,0.015441388,0.024163818,0.031660493,0.034706954,0.03182403,0.025855348,0.021825926,0.024770627,0.035742246,0.050952185,0.06452433,0.07215628,0.07416056,0.073314965,0.07242179,0.07175187,0.06981566,0.065232664,0.057883397,0.04894708,0.039396074,0.029797984,0.020606795,0.012836554,0.007578032,0.0051078163,0.004727017,0.0057671014,0.008998664,0.01651709,0.029384399,0.044334427,0.054451708,0.053489372,0.0418642,0.025755009,0.012788466,0.005927276,0.0043363664,0.005823113,0.010275405,0.017732618,0.026608879,0.032526776,0.031975254,0.025163345,0.016528785,0.0112846615,0.011851408,0.017348437,0.024436176,0.030241674,0.032569397,0.031445116,0.027661778,0.023244848,0.019329665,0.016339997,0.013371937,0.009971718,0.0063465205,0.003500956,0.0019708273,0.0017881561,0.0026266251,0.0046715094,0.008666708,0.015608735,0.025206536,0.035212513,0.04227531,0.044823926,0.04420327,0.042687673,0.04069847,0.036684033,0.030794477,0.026293242,0.028740363,0.041401666,0.06421531,0.09185798,0.11637774,0.12828161,0.1230626,0.10249182,0.07536662,0.05111711,0.03746094,0.03689741,0.049069297,0.06893278,0.09088563,0.106442414,0.110890664,0.101078175,0.08185313,0.059180036,0.040479485,0.027484214,0.019948827,0.015566799,0.013399254,0.012574465,0.013012007,0.014859025,0.019129412,0.02591418,0.033795174,0.039371237,0.03983089,0.03484048,0.02686871,0.01989233,0.017242597,0.021466352,0.032703254,0.0497694,0.06983376,0.091531545,0.11258482,0.12972802,0.13610424,0.12775664,0.10545387,0.07722319,0.050684776,0.030912727,0.01797372,0.011445537,0.010812107,0.016335972,0.026816113,0.04057974,0.05563055,0.071772344,0.08842927,0.10425357,0.11625979,0.12272344,0.1248577,0.12434551,0.12168019,0.11430904,0.10121059,0.083374895,0.06391271,0.045608014,0.030257039,0.019260267,0.012633793,0.009626395,0.008827751,0.009697196,0.01190529,0.014602584,0.016014988,0.014986676,0.012156845,0.010077447,0.0115030855,0.017973913,0.029327074,0.043283727,0.05629617,0.06368744,0.0635079,0.057293326,0.051657643,0.05242066,0.062378004,0.07788063,0.09382755,0.1050195,0.1096529,0.106893815,0.09903497,0.090156786,0.08764347,0.09656045,0.11692359,0.13875897,0.14867716,0.136941,0.10734752,0.072723106,0.04661108,0.03338409,0.029427238,0.029067421,0.028888846,0.028443003,0.027143044,0.02500795,0.021828042,0.020735702,0.026742421,0.04711886,0.08069924,0.11688761,0.13612308,0.13067594,0.10842967,0.09096537,0.08981907,0.10180768,0.11154562,0.10959386,0.09658878,0.08329209,0.080022186,0.09268846,0.1177,0.14535196,0.16316713,0.1637697,0.14782536,0.12322402,0.10001839,0.08436957,0.078266315,0.07971377,0.08828316,0.10088555,0.113994546,0.119918644,0.1175707,0.110318355,0.108870484,0.11902165,0.13987269,0.16019706,0.16695096,0.1541097,0.12681663,0.097622074,0.07581999,0.0649445,0.06264769,0.06517344,0.067174844,0.06439722,0.055426035,0.043454554,0.03290068,0.02687685,0.025738947,0.029441163,0.037359156,0.047202975,0.054288488,0.056768592,0.060748946,0.0804277,0.121802114,0.17506309,0.21338038,0.22214055,0.20327182,0.17844613,0.15930074,0.15046811,0.14364272,0.13459204,0.117885955,0.09621761,0.07671005,0.072534494,0.09163471,0.13039905,0.17141408,0.1931159,0.1831646,0.14645076,0.10007193,0.06073056,0.03543356,0.022142759,0.015498127,0.011867284,0.010496874,0.013251007,0.022689246,0.040782016,0.06606286,0.092887245,0.11224386,0.11648082,0.10531319,0.085469216,0.06716585,0.0551295,0.049418177,0.046410203,0.044885624,0.044534143,0.045047898,0.044596966,0.041452933,0.03682695,0.03422527,0.037371818,0.04591533,0.056119204,0.06351092,0.066856824,0.06747388,0.06734588,0.067292154,0.06840524,0.071501635,0.07671083,0.08176289,0.08524155,0.08699617,0.08895583,0.09087679,0.09161069,0.08916416,0.08433799,0.0787394,0.07481978,0.07241362,0.0703382,0.06621831,0.0602878,0.05343077,0.047010526,0.039975274,0.03230507,0.025808796,0.025327208,0.03383087,0.050052207,0.06793075,0.08191073,0.090420514,0.09672606,0.10414665,0.11391244,0.12327818,0.12918516,0.12920417,0.12496718,0.120256126,0.11984994,0.12610513,0.13933511,0.15556294,0.1674304,0.16473396,0.14375632,0.10977147,0.07602347,0.05280138,0.043377787,0.04444535,0.050434586,0.056067705,0.057141144,0.052840013,0.045457974,0.039781943,0.039628353,0.04820907,0.06705877,0.097120106,0.13337283,0.16678976,0.1848274,0.18408138,0.16765831,0.1457615,0.12250065,0.10152957,0.08440494,0.076786876,0.08016428,0.091818295,0.10645562,0.12456823,0.15466772,0.20101137,0.2535715,0.28582576,0.27866653,0.23334503,0.17353804,0.12319558,0.09525722,0.08882012,0.096002884,0.10831895,0.11777379,0.12140868,0.117924325,0.111724995,0.10854319,0.116455294,0.1352504,0.15514556,0.1596045,0.14123045,0.10689309,0.07316282,0.0516306,0.045165077,0.050319266,0.06449192,0.08442419,0.105870865,0.121620595,0.12744395,0.12207127,0.11016664,0.096314006,0.085550606,0.0789975,0.076952934,0.07853487,0.08357993,0.09095385,0.09739829,0.09892011,0.09354308,0.082958065,0.07090258,0.060432386,0.05283612,0.04777849,0.043996412,0.04090114,0.038621735,0.03854284,0.040423963,0.042830292,0.04297,0.040953994,0.04009098,0.04614236,0.060195167,0.07760926,0.08952583,0.09291148,0.08970741,0.08523011,0.078988366,0.06914573,0.05376878,0.03723635,0.026601665,0.030632423,0.053210538,0.087748826,0.11771452,0.12500222,0.1059795,0.07155485,0.04013109,0.021153055,0.014716047,0.015879652,0.022996178,0.038249526,0.06127612,0.08649286,0.102062754,0.10117265,0.0844582,0.062221885,0.044143576,0.0368012,0.040237654,0.051792573,0.06657454,0.07988295,0.087428205,0.08706386,0.079719536,0.069138095,0.05971462,0.05401999,0.052523132,0.05410513,0.056640957,0.057286773,0.0540071,0.047116905,0.03888299,0.03196357,0.02743678,0.025253244,0.024370322,0.024445193,0.026097849,0.030824304,0.039081246,0.04797275,0.052790936,0.049681887,0.04040598,0.030133642,0.024209185,0.0230802,0.023743803,0.023171475,0.021691663,0.0227004,0.029230788,0.04121599,0.05474715,0.06470432,0.06790915,0.06511591,0.06052086,0.05962057,0.06498251,0.07478705,0.082735926,0.08440793,0.078759894,0.07016515,0.062868014,0.060728524,0.063538104,0.06940231,0.07355797,0.07257014,0.06439098,0.0511675,0.037215587,0.028097095,0.026477693,0.031001648,0.037203398,0.04208496,0.046256866,0.05318748,0.06388939,0.075624466,0.08221513,0.08103892,0.074842274,0.07288016,0.083301485,0.105866455,0.12878801,0.13518752,0.118417464,0.08687439,0.0584778,0.044213776,0.042814836,0.046206754,0.04861178,0.04976817,0.05010958,0.04853323,0.043469843,0.03606928,0.030321332,0.029594779,0.034966756,0.045455296,0.059806388,0.0776621,0.096124284,0.110946305,0.11599687,0.11306578,0.10880672,0.11236667,0.12272342,0.1327615,0.13484158,0.12996213,0.12275613,0.11741797,0.11300331,0.10871909,0.10283043,0.09539244,0.08499702,0.072927125,0.061338875,0.052891593,0.047618542,0.043760836,0.040341705,0.03741616,0.03610931,0.035951477,0.036562968,0.036865983,0.03742425,0.03943664,0.04617819,0.05983271,0.07902706,0.09776461,0.11074828,0.11921728,0.13101295,0.1530478,0.18626966,0.22044234,0.24435882,0.24861033,0.24212533,0.2362222,0.23907952,0.23828314,0.22266449,0.19330715,0.16669483,0.15448052,0.15213972,0.14863499,0.13749242,0.12296345,0.10984201,0.1015717,0.09982619,0.10611191,0.119885124,0.13500954,0.146004,0.14821786,0.14156695,0.12550567,0.102142066,0.0770008,0.057566646,0.048702773,0.047657702,0.04846609,0.045905318,0.040112186,0.033315495,0.027758466,0.023893505,0.022074101,0.022338785,0.0241422,0.026333079,0.029070443,0.03566734,0.04935816,0.07103443,0.09469033,0.11505819,0.12949349,0.14542793,0.16868198,0.19963342,0.22451626,0.22884136,0.20550539,0.16364329,0.12082139,0.09474379,0.098190136,0.13243699,0.1905678,0.25027457,0.29202732,0.29808712,0.27238196,0.22525853,0.17662893,0.13590214,0.10673448,0.083329506,0.06195323,0.041517045,0.025000723,0.014270597,0.00985695,0.01272991,0.02723968,0.059926618,0.11144745,0.17217267,0.22140963,0.24132396,0.22515194,0.1839035,0.13575797,0.09685383,0.07241402,0.0590933,0.052778725,0.052994575,0.06367183,0.084684975,0.11259601,0.14111717,0.16822748,0.1905874,0.20247431,0.19724822,0.17881848,0.16024731,0.15349849,0.15580754,0.15526026,0.1422113,0.11899228,0.094799675,0.07893298,0.07731814,0.09061178,0.11407807,0.13482535,0.14021109,0.12409929,0.09528423,0.07013093,0.06510832,0.08581441,0.12491407,0.16549683,0.18844861,0.18474884,0.15678518,0.11879736,0.08408783,0.062266216,0.054296937,0.055972997,0.06081604,0.066415705,0.08040005,0.11401031,0.16764264,0.22073455,0.24324293,0.22542353,0.18802017,0.17051838,0.18753357,0.22189696,0.23297946,0.2058364,0.1513453,0.100645006,0.06567457,0.04555055,0.03002625,0.018810535,0.014422119,0.019946441,0.03243985,0.045465168,0.051903795,0.049659178,0.044115055,0.044216577,0.05597954,0.07671038,0.09858132,0.112311564,0.114744805,0.1069634,0.094413675,0.08016861,0.06660868,0.054473683,0.04678333,0.044718355,0.046754953,0.046892066,0.04117882,0.029672801,0.017376252,0.00823012,0.0037267215,0.0024075077,0.0029328428,0.0042840675,0.0060920417,0.007972729,0.010226305,0.012974557,0.016305352,0.020174362,0.027506128,0.04534169,0.08310101,0.14396788,0.21592303,0.2717227,0.2834008,0.24294321,0.16944562,0.09568387,0.04596463,0.024663867,0.022111049,0.025598692,0.027510816,0.02527579,0.020428872,0.015793571,0.013999072,0.016059779,0.021304885,0.028802445,0.037802693,0.048722025,0.06260581,0.08001419,0.09889261,0.11378845,0.119550355,0.11609516,0.10781384,0.099503495,0.09045482,0.0794869,0.06631177,0.055690367,0.05104202,0.054797962,0.06506722,0.07683557,0.082340434,0.07564128,0.057894487,0.03643775,0.020297593,0.013507284,0.014458086,0.018175187,0.019908471,0.017964931,0.013324841,0.008987061,0.006928289,0.008057624,0.0114432275,0.015736632,0.018857943,0.019668074,0.01781872,0.014509057,0.010912452,0.008126064,0.0063693677,0.0055780965,0.0053843483,0.005480504,0.0055727703,0.005342867,0.004610305,0.003573296,0.0028966041,0.0036312472,0.0068810266,0.013861701,0.024828812,0.038158227,0.049511615,0.054020394,0.04937622,0.03777582,0.024282197,0.013778334,0.0090675065,0.011907863,0.022631118,0.040528964,0.060829576,0.07878491,0.09055806,0.098177224,0.104184575,0.11111707,0.118330956,0.1249757,0.12897484,0.1268336,0.11606642,0.09670185,0.07365174,0.05109389,0.032712277,0.019087458,0.011569603,0.010469503,0.0153458165,0.023146546,0.029335136,0.030357221,0.026021445,0.019977894,0.017037144,0.019615749,0.025958061,0.03174804,0.034215827,0.03472638,0.03626382,0.039540138,0.040786434,0.036568772,0.026831755,0.015892902,0.007584881,0.0034380408,0.0024388598,0.0034059407,0.005380504,0.0077070645,0.009607562,0.01075909,0.01125121,0.011617325,0.012004718,0.012229971,0.01164078,0.010155827,0.008176641,0.0069835545,0.007695526,0.011326862,0.017463388,0.024163714,0.02798371,0.026579143,0.020492364,0.013097278,0.007885218,0.006138174,0.0069156084,0.0084024295,0.009487548,0.009880466,0.010073344,0.010560944,0.011967327,0.015116033,0.021543203,0.0327855,0.04920106,0.0694223,0.089868926,0.105968304,0.11226755,0.10654569,0.09071878,0.07165378,0.055480808,0.045238417,0.04051946,0.040405277,0.044292834,0.049798686,0.053051826,0.050459575,0.043337185,0.037027013,0.03836696,0.04944098,0.06721681,0.0837424,0.0929248,0.09162644,0.083154865,0.071909495,0.062443763,0.05490068,0.04772887,0.03929871,0.030286515,0.02264706,0.017587043,0.016288444,0.02126179,0.036763098,0.06433724,0.09863811,0.1268403,0.13621454,0.12182814,0.091197155,0.057504695,0.03210449,0.017894354,0.012546614,0.01189581,0.013260026,0.014486086,0.014037115,0.0114258425,0.0076546427,0.004403665,0.0027409506,0.002853216,0.0041362303,0.006023824,0.008374986,0.012025379,0.017959518,0.026228229,0.03552362,0.04421124,0.05179761,0.058801085,0.065831654,0.07263173,0.07825812,0.08208523,0.08419337,0.08506137,0.08375404,0.0781205,0.06699305,0.053208675,0.04255009,0.038511645,0.039164003,0.038727436,0.0344442,0.028004574,0.023487354,0.021726819,0.020663688,0.01805542,0.014129818,0.010836098,0.009433074,0.009811804,0.010848917,0.011724483,0.0122995,0.0131169325,0.014492956,0.01651518,0.018916408,0.02238357,0.027100861,0.032717537,0.03684398,0.03783564,0.035107445,0.030314587,0.024989655,0.020218171,0.015954778,0.012052772,0.008500851,0.005705805,0.004022555,0.0034313023,0.0035276243,0.0040244935,0.0050144535,0.0068743266,0.009715256,0.013374093,0.016944956,0.019738773,0.021212628,0.02267196,0.025068102,0.028878152,0.03168707,0.03156062,0.027797213,0.023193507,0.021410473,0.02470305,0.031749737,0.03822796,0.040513244,0.03822595,0.034581892,0.03333418,0.03509004,0.037517544,0.036517613,0.031518593,0.024647698,0.020061642,0.01862652,0.01875039,0.017940544,0.016033014,0.014647237,0.014956533,0.016341079,0.016792897,0.015253025,0.012550242,0.011094518,0.012668139,0.017020196,0.02176209,0.024189023,0.023212722,0.020006249,0.016645717,0.014382496,0.012968243,0.0119059635,0.011370964,0.012144585,0.014618009,0.018117504,0.02187753,0.02483339,0.026713787,0.026772104,0.025253534,0.022367053,0.019557899,0.017985953,0.018847516,0.021840222,0.02629256,0.03135155,0.036753777,0.041417077,0.043537866,0.042585958,0.040964175,0.042203907,0.04636453,0.04919283,0.0463459,0.038377568,0.030160217,0.026087448,0.026136376,0.027334752,0.02701272,0.025682347,0.025326913,0.02727066,0.0299254,0.030934954,0.02937612,0.027654348,0.02826927,0.031774536,0.03517677,0.036448095,0.035765007,0.036667943,0.04057941,0.046536785,0.05091034,0.053106334,0.053944055,0.055401627,0.056539174,0.05785666,0.059913237,0.06494414,0.071333356,0.07795327,0.08171474,0.08186536,0.07509341,0.061867993,0.044402704,0.029282158,0.02030539,0.018082121,0.019400327,0.021014666,0.021539403,0.02165096,0.024474012,0.034506623,0.056620996,0.08867359,0.12008377,0.13414066,0.12384513,0.09522215,0.06462862,0.043265402,0.034679472,0.036816437,0.04762153,0.06309538,0.07569247,0.07677987,0.0645353,0.045734603,0.03237963,0.030808577,0.039333984,0.049194213,0.053975135,0.05193177,0.046401322,0.040649313,0.03731427,0.03856754,0.045658793,0.058933724,0.07870225,0.10976324,0.15486147,0.20749001,0.24866839,0.26320827,0.25196606,0.22826289,0.20134048,0.1703624,0.13463397,0.10076308,0.077956125,0.06757035,0.063298024,0.057971884,0.05010903,0.04257464,0.040488195,0.045642614,0.056258082,0.06509879,0.06642494,0.05801056,0.044558655,0.03282133,0.028924787,0.035253298,0.050109476,0.06896876,0.08490721,0.09183284,0.08601007,0.069756396,0.04934806,0.032191288,0.021419449,0.016233597,0.013692957,0.012443314,0.012589126,0.014693119,0.01805518,0.021229727,0.023606079,0.026276574,0.03107433,0.038420733,0.04633442,0.052167628,0.0547405,0.056007165,0.058374137,0.06283726,0.06748188,0.07008026,0.07079,0.072421946,0.079981305,0.093262486,0.107538395,0.11209098,0.10396985,0.086523116,0.07033869,0.060038295,0.056745514,0.05798107,0.062225085,0.066671096,0.0680905,0.06547344,0.06068869,0.05694674,0.055246755,0.054995533,0.05468386,0.054209575,0.0539553,0.057484757,0.07016765,0.0980713,0.13690962,0.17135201,0.18056782,0.15881388,0.118543096,0.08251438,0.0626735,0.05702868,0.05643719,0.057449505,0.061992515,0.07208896,0.084587395,0.095762104,0.102731295,0.10463005,0.09731141,0.079493485,0.054484207,0.03267817,0.021543128,0.02197438,0.027917122,0.03253916,0.032283362,0.027104305,0.019755036,0.013031452,0.009429061,0.009997317,0.014780447,0.02235468,0.029886073,0.03429082,0.034118593,0.030910641,0.027943818,0.027523788,0.029286645,0.031217337,0.03204496,0.03266426,0.034295674,0.03719048,0.039622705,0.040613875,0.039849486,0.03864124,0.039093446,0.044683293,0.057583988,0.074458815,0.0875205,0.0908863,0.08872401,0.09075301,0.10172754,0.11475563,0.11899724,0.113880746,0.10979718,0.1193643,0.1404668,0.16171576,0.16942728,0.16303267,0.14736553,0.12960584,0.11206777,0.09712574,0.08671895,0.081629455,0.08010652,0.079485506,0.077976786,0.07607754,0.07427425,0.072998635,0.06986154,0.06395476,0.055584863,0.048542384,0.04471055,0.044152226,0.044965163,0.049348395,0.063925155,0.09543103,0.13896067,0.17615007,0.18520129,0.16174772,0.12233331,0.09277857,0.084511615,0.09089855,0.09528648,0.089688055,0.07776169,0.07045445,0.07270581,0.08072335,0.084814735,0.07953053,0.06644323,0.052716196,0.044296738,0.0443697,0.053747177,0.0732938,0.10021609,0.12615852,0.13833554,0.13009292,0.10578138,0.07907369,0.061833438,0.05775431,0.062072605,0.06700615,0.06756667,0.063293986,0.05711778,0.051032174,0.0454353,0.03956003,0.034280986,0.030660389,0.02977387,0.030990751,0.033998836,0.03744701,0.040078405,0.040189844,0.038590394,0.03774284,0.040366236,0.046824876,0.05563457,0.06494215,0.073348835,0.07977754,0.0831817,0.082711466,0.07813484,0.070496276,0.06242652,0.056833055,0.055859204,0.059337422,0.06624355,0.07390917,0.08023437,0.08342136,0.0834166,0.08079225,0.07683959,0.07470038,0.07860432,0.08996565,0.1035409,0.10930591,0.10245561,0.08792446,0.07809598,0.079508096,0.088726014,0.094837315,0.09180581,0.08239293,0.075359166,0.075608104,0.081194825,0.086476915,0.089582026,0.09195144,0.095149525,0.09608332,0.09143903,0.080839746,0.06848263,0.0582553,0.05060629,0.044670198,0.041496616,0.046815008,0.06365835,0.0882565,0.10830861,0.114367,0.10672784,0.094679475,0.08703066,0.08386794,0.08032311,0.07109826,0.058594897,0.04822108,0.045565236,0.049015954,0.05308914,0.05243076,0.04748365,0.043120857,0.0435189,0.048812468,0.054808985,0.057963222,0.056759205,0.052591767,0.04704066,0.04151104,0.036789235,0.033073913,0.030181905,0.0277721,0.025982404,0.025056697,0.025785318,0.03196467,0.051011562,0.09004974,0.14366741,0.1925708,0.2121731,0.19657858,0.16109468,0.13194042,0.12076318,0.12130096,0.119389676,0.11011845,0.10159414,0.10342306,0.116567016,0.12922381,0.12995645,0.11470152,0.091703676,0.07415882,0.07731255,0.11139295,0.1717494,0.23469646,0.26655218,0.2511403,0.20036496,0.14529188,0.107720055,0.08875706,0.0768958,0.063328005,0.04947568,0.0408624,0.041588902,0.05105412,0.06496689,0.07939684,0.090402074,0.097658716,0.099627785,0.09670221,0.08770289,0.07580023,0.06629632,0.06762046,0.081651926,0.10137135,0.11250618,0.10857881,0.09696918,0.092093,0.09948581,0.11019293,0.11341367,0.10729569,0.10055167,0.10028685,0.10561269,0.10973709,0.10616377,0.096628495,0.08909025,0.09538523,0.11655321,0.1421488,0.15285562,0.14101471,0.11319033,0.086802065,0.07202215,0.069232345,0.07130321,0.07295822,0.07240665,0.07102424,0.07029014,0.07038059,0.06993231,0.06702974,0.061161518,0.052856356,0.04380393,0.03590488,0.034456614,0.04794973,0.08585604,0.14421709,0.20367734,0.23372145,0.22183698,0.17848368,0.1332661,0.105369635,0.09719089,0.09830091,0.101532124,0.10828885,0.1229131,0.14506756,0.1668073,0.17823471,0.17448187,0.15677078,0.1315007,0.10686923,0.0923917,0.091651715,0.099871285,0.10483733,0.10074824,0.09203726,0.09204987,0.10575958,0.12674224,0.13818125,0.1327843,0.11687829,0.10807774,0.11390036,0.1270414,0.13143201,0.12121761,0.10277221,0.08783529,0.0812113,0.08260199,0.088426836,0.09597272,0.10067415,0.100183,0.095890425,0.093016304,0.094859086,0.09996181,0.10492838,0.107556485,0.10802064,0.105823755,0.10069471,0.09283448,0.083630525,0.073054515,0.06054817,0.04791827,0.04073796,0.044757765,0.058771998,0.07632235,0.09121715,0.10793855,0.13308679,0.1686062,0.20023908,0.21260309,0.19825394,0.16974175,0.1474021,0.14599977,0.16273218,0.18063907,0.18512815,0.17279609,0.15265347,0.13313338,0.118827604,0.10888646,0.10197157,0.0954921,0.087219544,0.0759234,0.063791834,0.055706892,0.05624203,0.06646881,0.08265428,0.09998072,0.11553258,0.12924105,0.14093433,0.14767663,0.14585783,0.13285133,0.11085618,0.08449366,0.060750235,0.044060886,0.03570651,0.032243337,0.030761493,0.031528857,0.04285434,0.07294857,0.12610345,0.18709081,0.23359172,0.24152271,0.21364063,0.16765487,0.13046926,0.11029852,0.10263682,0.09515542,0.08340732,0.07183919,0.07059207,0.08674475,0.11634081,0.1444642,0.15414546,0.14082481,0.11686003,0.1032191,0.11121824,0.13378565,0.1510966,0.14888333,0.12774433,0.101009466,0.080644004,0.07225176,0.07305297,0.07858124,0.08240962,0.08083889,0.07240542,0.059943233,0.046784386,0.035733975,0.028142303,0.025658883,0.029192055,0.038740903,0.05064143,0.06055672,0.06471702,0.06638961,0.07244257,0.08905033,0.11351458,0.13761514,0.15409976,0.16186619,0.16356172,0.16297884,0.16285312,0.16520788,0.16575228,0.1599763,0.14515877,0.13196637,0.12929681,0.13938169,0.14649625,0.13795744,0.11145318,0.0817405,0.062443215,0.059051264,0.06493463,0.07096729,0.070673615,0.06429298,0.056385975,0.051119026,0.04963179,0.048995603,0.047393914,0.04392248,0.040836316,0.03910859,0.039963614,0.042675126,0.047157582,0.051589,0.054035813,0.051515818,0.043927744,0.033231024,0.02345004,0.016963435,0.0143989585,0.014966526,0.017266901,0.020104736,0.025076881,0.038571496,0.07009701,0.11811992,0.16872096,0.19875687,0.2039481,0.19491893,0.1923228,0.19966297,0.2097464,0.20958038,0.19234408,0.16014192,0.12281245,0.09845275,0.096995294,0.11574012,0.13479666,0.13789189,0.12011681,0.09263285,0.06840834,0.055263117,0.052550014,0.0559856,0.06146134,0.06648361,0.069963716,0.07097585,0.06861523,0.0627119,0.055262987,0.04977514,0.050679784,0.05990533,0.078252785,0.10195196,0.1252007,0.13859634,0.136328,0.11921475,0.09518509,0.07433185,0.06130525,0.05676936,0.05637515,0.057718817,0.057754133,0.056992073,0.055768132,0.055902287,0.057524163,0.059873182,0.062016,0.063445486,0.065013334,0.06627197,0.06752545,0.06974911,0.07760476,0.093783505,0.115235664,0.13302751,0.14176221,0.14632218,0.15398188,0.16530667,0.16945922,0.15954448,0.13801534,0.117663205,0.10818789,0.11086909,0.11758894,0.116994,0.10481661,0.087452926,0.07975825,0.08984747,0.11375002,0.13608319,0.1468721,0.1460272,0.14400126,0.14644715,0.15204059,0.15151124,0.1392647,0.11532327,0.08661192,0.060855757,0.044356663,0.040046643,0.047702894,0.06309217,0.0797272,0.09155349,0.09655816,0.09545138,0.09025297,0.08285219,0.07628709,0.07349003,0.0748027,0.07719462,0.07630143,0.07023472,0.059638515,0.047352493,0.035975397,0.027838858,0.025133178,0.031221552,0.051228683,0.085709214,0.12677822,0.1563882,0.16131915,0.14251243,0.11882687,0.11115125,0.12802173,0.1596654,0.1883363,0.2046842,0.2130506,0.2228117,0.23790844,0.25563332,0.27447632,0.289696,0.29190084,0.26774004,0.21727711,0.15537365,0.10307789,0.07112026,0.058227018,0.05712313,0.060427815,0.06246612,0.05961905,0.05179557,0.04163932,0.03217635,0.025479542,0.02287425,0.026395664,0.035917096,0.048010778,0.055232197,0.053031076,0.042070363,0.02870906,0.018724488,0.016936759,0.026756963,0.050633073,0.08329314,0.11195574,0.12155943,0.10933226,0.08519485,0.06543276,0.05772598,0.060404766,0.06598357,0.06878877,0.06693151,0.06294273,0.0639249,0.07468876,0.093707375,0.109335996,0.11339763,0.106260955,0.10062685,0.10454664,0.11635717,0.12358097,0.11987996,0.11145094,0.11163319,0.12428951,0.13747965,0.13762462,0.12592536,0.1191073,0.13014646,0.15260029,0.16709156,0.15853648,0.12986134,0.0947546,0.06847805,0.058386516,0.065076776,0.0829013,0.10425675,0.12411538,0.1413365,0.15810305,0.1747833,0.19179724,0.20613675,0.21305971,0.20540123,0.18234725,0.1536249,0.13559176,0.14012785,0.16189264,0.18233103,0.18090393,0.15617956,0.1261208,0.1130223,0.122531734,0.13967009,0.14881945,0.14384688,0.13275005,0.11970293,0.10731393,0.094192185,0.085542776,0.08513395,0.094452195,0.106807165,0.11412167,0.109838985,0.09377747,0.07100055,0.049210485,0.036336035,0.035607304,0.04824766,0.07031774,0.09995373,0.13062029,0.15840416,0.17684327,0.18683803,0.1932878,0.20746148,0.23851402,0.28419188,0.32836652,0.3506576,0.34280837,0.31160536,0.26662055,0.21518642,0.16253106,0.119490825,0.09310005,0.08309878,0.08133275,0.08083359,0.07907822,0.07649392,0.07332968,0.06864092,0.061358333,0.05244377,0.04451656,0.041202053,0.044220004,0.053168494,0.06485376,0.07598281,0.0846341,0.090506606,0.09292165,0.090790935,0.08807161,0.09420845,0.117913604,0.15357067,0.18246466,0.18535586,0.160621,0.12435367,0.09923973,0.096594445,0.111555375,0.12741904,0.13177405,0.12340072,0.111260645,0.1020239,0.096971154,0.09394705,0.09300222,0.09541633,0.09958885,0.101568334,0.09657427,0.08488485,0.06923835,0.053924996,0.040220525,0.028646896,0.019388033,0.013198157,0.009891373,0.008439302,0.007881615,0.008181126,0.010424279,0.01626666,0.027052745,0.041638006,0.056390714,0.065542154,0.06598247,0.057650134,0.0456545,0.03508983,0.030324755,0.031186039,0.0358578,0.04136536,0.04614508,0.049776107,0.054340348,0.06393329,0.08281947,0.1093846,0.1343686,0.14434996,0.13445513,0.11364078,0.10101976,0.10833147,0.13189529,0.15523607,0.1645372,0.15601264,0.13381203,0.104429044,0.07306408,0.046175312,0.02797561,0.020007784,0.018804776,0.020389609,0.022704564,0.026365042,0.0340469,0.047943894,0.070094496,0.0976156,0.12495092,0.14278676,0.14756845,0.13868254,0.121633776,0.100937165,0.08412828,0.077781945,0.083483346,0.09419069,0.09616172,0.08349929,0.060566675,0.04203288,0.03935692,0.057339102,0.09286054,0.13575397,0.17464267,0.1995684,0.21254154,0.2213112,0.2360481,0.25987372,0.28862438,0.31312802,0.3186934,0.29891086,0.2573351,0.2148755,0.18870974,0.18407787,0.18708883,0.1800911,0.15495007,0.12003983,0.09234452,0.08533094,0.09980118,0.12787747,0.1585754,0.18526132,0.20461743,0.2154982,0.2150516,0.20004852,0.16972756,0.13183366,0.098555334,0.08224529,0.085086346,0.10289323,0.124050416,0.13902958,0.14000046,0.12942807,0.11507661,0.1075254,0.110455565,0.12083149,0.13206011,0.13873465,0.14020173,0.13948964,0.1423341,0.15240552,0.16599137,0.17352147,0.16338384,0.1360931,0.10169972,0.07786679,0.0718298,0.0813913,0.09446799,0.10279011,0.103147395,0.098974615,0.09392198,0.09054271,0.08990241,0.09381688,0.10532323,0.12794922,0.16232634,0.20204978,0.23327704,0.24202554,0.22669792,0.19917989,0.1766261,0.16717939,0.17132378,0.18551575,0.20579082,0.22547424,0.23792349,0.24612494,0.25934944,0.2861599,0.31673452,0.33339855,0.3215839,0.29000196,0.2592896,0.24447864,0.23983932,0.22684948,0.19735569,0.16013776,0.13453512,0.12931208,0.14027089,0.15370215,0.15906481,0.15050489,0.13148057,0.10971279,0.0972665,0.0985372,0.10986811,0.11818787,0.1140063,0.09625236,0.07360392,0.055616017,0.047271337,0.048630442,0.05933556,0.07960556,0.10906305,0.1412124,0.16814514,0.18237406,0.18748786,0.18985665,0.19449537,0.19361804,0.17619674,0.13883707,0.09248227,0.05425459,0.033307355,0.028292777,0.031938624,0.039452016,0.04828745,0.05637138,0.060247287,0.057914328,0.049675364,0.038782917,0.029081373,0.024787443,0.028134273,0.03753945,0.04704164,0.049895134,0.043801516,0.032385923,0.02416069,0.028301666,0.050863624,0.08777296,0.12595722,0.15007229,0.15716316,0.15453331,0.15277259,0.1525021,0.1506408,0.14457619,0.13708514,0.1293094,0.12025598,0.10810361,0.096149676,0.08993018,0.09472441,0.10979263,0.13099986,0.15012191,0.15831171,0.14966713,0.12784335,0.1057697,0.09559876,0.098511934,0.10365892,0.09950942,0.082870886,0.061040536,0.042751137,0.03242957,0.02726333,0.024070656,0.02237312,0.026462466,0.037864268,0.053132493,0.06312954,0.06291245,0.054259274,0.04537861,0.041587457,0.042453248,0.04386686,0.043946464,0.046074957,0.05326299,0.06392885,0.06956094,0.06420831,0.05042267,0.040160444,0.04502691,0.06635317,0.09429264,0.11286309,0.11306852,0.095239766,0.07070748,0.05078898,0.044091973,0.048845038,0.058971267,0.06584881,0.071149774,0.08046344,0.10207993,0.12988625,0.15349913,0.15911888,0.14734016,0.1247397,0.10301583,0.08651677,0.074635215,0.064423,0.055531833,0.050682347,0.051831048,0.05844164,0.06720268,0.07378704,0.07544458,0.07168524,0.065254204,0.059520707,0.056647822,0.056385156,0.055952135,0.052845214,0.04526971,0.035356533,0.026499286,0.02217259,0.022160837,0.02376877,0.024474321,0.023545444,0.022065528,0.020361753,0.018928938,0.017838957,0.01777421,0.019108288,0.02336792,0.03342444,0.050341655,0.07110072,0.08835142,0.09857378,0.102346666,0.103976876,0.10319451,0.099926226,0.093768336,0.08800588,0.08256277,0.07752072,0.071390085,0.065495856,0.059580687,0.054814633,0.05177548,0.052118197,0.054876056,0.058097366,0.060399186,0.06376756,0.07287955,0.0895182,0.10933891,0.12177145,0.12042156,0.108433664,0.09732711,0.09522488,0.100170754,0.10345604,0.09868882,0.08805793,0.07835198,0.07543954,0.079328865,0.08595281,0.08972699,0.087068014,0.07856804,0.06849243,0.062176492,0.061364073,0.064005606,0.067554265,0.07250368,0.08219366,0.09573845,0.10737368,0.107570775,0.09479434,0.07577833,0.06311008,0.06351744,0.07428711,0.08653888,0.09191247,0.08934802,0.08279202,0.079155385,0.081500925,0.08936269,0.09793786,0.102548085,0.09912009,0.08753422,0.07042774,0.05323373,0.040439624,0.03420222,0.0337776,0.03656443,0.039693635,0.040677086,0.039007407,0.036393527,0.035694163,0.038995367,0.045175474,0.052029748,0.056827173,0.059455562,0.06065366,0.06346249,0.073258884,0.096103586,0.1345319,0.17968452,0.21633053,0.23021704,0.22224872,0.20447366,0.19074593,0.18541156,0.18210004,0.173395,0.15450513,0.12986924,0.10509393,0.08720357,0.07685422,0.07310307,0.07218381,0.072233,0.070970476,0.067688935,0.06182309,0.055033743,0.049387127,0.04744933,0.04982375,0.0558977,0.06349641,0.0703968,0.07459375,0.07556504,0.07521052,0.077344544,0.085373126,0.09903196,0.11261629,0.11848148,0.1109181,0.09281188,0.072510585,0.061175853,0.06312257,0.07560534,0.090995245,0.10489527,0.12078019,0.14348091,0.17357971,0.19847421,0.20498574,0.18482316,0.14683303,0.10556126,0.07525275,0.059543,0.055351768,0.05796359,0.06383857,0.072001524,0.08055451,0.08999816,0.09973935,0.109263726,0.114164375,0.11106616,0.099622935,0.084384866,0.07120823,0.064411454,0.06589079,0.07495145,0.088508494,0.102462344,0.11298418,0.11811029,0.116426766,0.10778888,0.093803935,0.078639835,0.068507574,0.06790927,0.07766121,0.091768004,0.10183692,0.10166699,0.09303539,0.083711974,0.081091695,0.08730567,0.097726546,0.106957674,0.11036599,0.10793633,0.10078133,0.09385467,0.09151883,0.098239474,0.11134992,0.124512315,0.12796392,0.1185509,0.098816775,0.07723567,0.060340654,0.05116329,0.049201608,0.05305494,0.061892617,0.07383317,0.08630135,0.096739404,0.10551261,0.11538869,0.12832236,0.14277284,0.15335815,0.155524,0.14804865,0.13527364,0.12342548,0.1182521,0.12057438,0.12715475,0.13135135,0.129084,0.12082667,0.113070525,0.110919,0.114593424,0.1178829,0.11647951,0.1104343,0.10426413,0.10039464,0.1001144,0.10386916,0.11466994,0.13156573,0.1501512,0.15962906,0.15496862,0.13613085,0.11315697,0.094447374,0.08731049,0.091781504,0.10462173,0.11900038,0.12811737,0.12877677,0.12095194,0.109356135,0.09793862,0.09145203,0.08956182,0.0906044,0.08935053,0.08601004,0.08503604,0.09766114,0.12802476,0.16990153,0.20295678,0.21026398,0.18765378,0.14935876,0.11502666,0.09729982,0.095689796,0.10010005,0.101276845,0.09545508,0.08599172,0.07698927,0.07093295,0.06721907,0.06562791,0.067384064,0.07495842,0.08906665,0.10633776,0.12122855,0.12958948,0.13405196,0.14026709,0.15403156,0.17211455,0.18731134,0.18962605,0.17832758,0.1577404,0.13654502,0.118194796,0.10348144,0.09336329,0.09123813,0.09998839,0.11578711,0.13086592,0.13788049,0.13785477,0.13774359,0.14674382,0.16774732,0.19793443,0.22729118,0.24827461,0.25294206,0.24254648,0.2182532,0.19005011,0.16345303,0.14724784,0.14246023,0.15182664,0.1700602,0.19031952,0.19979674,0.19281274,0.16987766,0.14037986,0.11271017,0.09291031,0.08331416,0.084362864,0.09552181,0.113550365,0.13443376,0.1543004,0.17217843,0.18938686,0.20487726,0.21495368,0.21305436,0.19835533,0.17502277,0.15184695,0.13476829,0.12663098,0.12764677,0.13730313,0.15279895,0.16883028,0.17899327,0.17985408,0.17105766,0.1550296,0.13509123,0.11528263,0.09876787,0.08678156,0.0796437,0.078187935,0.08267849,0.09118524,0.09967855,0.107298076,0.116842546,0.13353376,0.15902688,0.19186902,0.22801404,0.2622714,0.2869921,0.2936199,0.27693895,0.23977856,0.19136597,0.14376184,0.10516892,0.08020721,0.06825171,0.06792637,0.07560388,0.088738285,0.102933,0.1159687,0.12570813,0.13253507,0.13576426,0.13672654,0.13962047,0.1522973,0.17895307,0.21349752,0.23946738,0.24166346,0.21750782,0.18000872,0.14614868,0.12577493,0.11659626,0.11175717,0.105973095,0.0997451,0.09597853,0.09887535,0.109514,0.12608956,0.14226238,0.1528127,0.155356,0.15294616,0.1491831,0.14646518,0.14390105,0.1410863,0.13834865,0.13775547,0.13867062,0.13891576,0.13463442,0.12566942,0.1144302,0.10536016,0.10008529,0.09782735,0.0969024,0.09866115,0.10722647,0.12529828,0.14807744,0.16356732,0.16044755,0.138967,0.11118707,0.09217215,0.087379776,0.09136066,0.094143696,0.09100145,0.08425205,0.07969683,0.07994612,0.08326801,0.085487925,0.085090846,0.08324033,0.08298158,0.08510596,0.08957956,0.0948593,0.10118564,0.10802221,0.11603948,0.1255169,0.13865894,0.15839052,0.1857713,0.21684825,0.24007064,0.24378647,0.22255237,0.18399508,0.14108291,0.105442666,0.08028981,0.06424364,0.054658484,0.051868368,0.05790959,0.07397185,0.09664775,0.118230246,0.13265812,0.14031048,0.14864759,0.16252397,0.18097125,0.19680612,0.2062606,0.2089426,0.20704007,0.20102943,0.19168575,0.18271084,0.17989992,0.1890688,0.20968384,0.23467952,0.25163403,0.25263712,0.23910052,0.22001956,0.20381068,0.19106047,0.17941044,0.16591798,0.15348782,0.14411296,0.13923319,0.13548441,0.13021955,0.12393465,0.121852815,0.12912911,0.1455695,0.16550128,0.18229254,0.19283746,0.19856662,0.202564,0.20598519,0.20610388,0.19855477,0.18254356,0.16219752,0.14386801,0.13015349,0.12036299,0.11288178,0.110290855,0.1164876,0.13527282,0.1631837,0.1950138,0.22180395,0.24349888,0.26016477,0.27990654,0.30110076,0.3221519,0.3301579,0.32108942,0.29386064,0.26094237,0.22918732,0.20413226,0.18258668,0.17001098,0.1698253,0.18613924,0.20438343,0.20893349,0.1848181,0.14058049,0.09283725,0.06222264,0.05331098,0.061613914,0.07581652,0.08884013,0.095756374,0.096529536,0.09248024,0.08874046,0.08991239,0.09949586,0.11703608,0.13914554,0.1639641,0.18981166,0.21456027,0.22847915,0.2237093,0.19998425,0.1693753,0.14332284,0.12441955,0.10802641,0.090563804,0.074538805,0.06429533,0.06364571,0.07483363,0.09965839,0.13773291,0.18259926,0.22082017,0.2366458,0.22270578,0.18645896,0.14587174,0.115414284,0.09737047,0.083802156,0.068517916,0.051485393,0.038062576,0.030981792,0.029665975,0.030688921,0.032005403,0.033460706,0.035744216,0.03847912,0.03955031,0.038794097,0.039264593,0.046561837,0.061139077,0.07692832,0.08424449,0.07983938,0.06957627,0.06383463,0.069822185,0.08596631,0.10559699,0.1197361,0.124723546,0.121550836,0.11490593,0.107438125,0.09919488,0.089497395,0.07920596,0.070498586,0.065150484,0.063090466,0.06286243,0.06319571,0.06507919,0.07023251,0.078124635,0.08475774,0.08636161,0.08345341,0.080659516,0.08369219,0.09345377,0.10665857,0.1148281,0.11404536,0.103818275,0.091808856,0.08321136,0.082846895,0.08804821,0.09490743,0.096214026,0.09009696,0.077723645,0.06456308,0.053269934,0.045930684,0.042733286,0.04489788,0.051049415,0.059324354,0.066556506,0.07271048,0.078451745,0.08670353,0.09763721,0.1098536,0.11830819,0.119333215,0.112537086,0.10244813,0.094826825,0.092154674,0.09334085,0.096086524,0.10146227,0.11142355,0.12608097,0.1409142,0.15089552,0.15375698,0.15068854,0.14418747,0.13583386,0.12569144,0.112809755,0.09733367,0.08438497,0.08064411,0.08917611,0.10326659,0.11361021,0.11757449,0.12204379,0.13657516,0.16155322,0.19204293,0.22238708,0.2558671,0.2935588,0.3290534,0.34649625,0.33638725,0.30378708,0.26567265,0.23837592,0.22815406,0.23023506,0.23245974,0.2237895,0.20068544,0.17043835,0.14478318,0.13137853,0.12874259,0.12943476,0.12691356,0.11947731,0.10935802,0.100402564,0.09586654,0.09999749,0.116360925,0.14399926,0.17287882,0.18667573,0.17623849,0.14615738,0.11297385,0.08922898,0.078665175,0.07668301,0.07976958,0.08688698,0.09857854,0.112730764,0.124581,0.13054186,0.13252005,0.1386892,0.15538602,0.18235642,0.20820077,0.22218989,0.21730931,0.20103689,0.18264641,0.17102027,0.16291834,0.15357862,0.14061226,0.12883197,0.123220585,0.12495314,0.1319213,0.1413073,0.14922136,0.15083502,0.14277233,0.12773328,0.11371856,0.107126854,0.10831233,0.110449314,0.10879,0.103112526,0.100271165,0.10477865,0.11686119,0.12932114,0.13743843,0.14130555,0.15000027,0.172276,0.20957077,0.25191373,0.28047332,0.2845445,0.2621605,0.22887324,0.19772486,0.18239965,0.18037696,0.18401296,0.17886864,0.16235788,0.14110084,0.12904249,0.13012852,0.13911252,0.14243193,0.13362272,0.11366233,0.094093256,0.08440108,0.08938861,0.104908526,0.12571245,0.148899,0.17420328,0.20247562,0.22997732,0.25229836,0.26086786,0.25368276,0.23344599,0.21145421,0.19552742,0.18566012,0.17442228,0.15637153,0.1363554,0.12406725,0.12603855,0.13752426,0.14929383,0.15441567,0.15280776,0.1470489,0.13801771,0.12596294,0.112150274,0.10190656,0.09901229,0.10467085,0.11484653,0.1266666,0.13849388,0.15103298,0.16232342,0.16915734,0.16773105,0.15874581,0.14618854,0.13730504,0.13548745,0.14005572,0.1443191,0.14383401,0.13832475,0.13402826,0.13656811,0.1474806,0.1619777,0.17459095,0.18165295,0.18552195,0.18937983,0.19652842,0.20402427,0.2073067,0.20269968,0.19290994,0.18287404,0.17719321,0.1766193,0.18347423,0.19629554,0.21523006,0.23350827,0.25165835,0.26504397,0.27476513,0.27285966,0.25969526,0.23575294,0.21045251,0.18953057,0.17634661,0.16877902,0.16263233,0.15521474,0.14549279,0.13560174,0.12667663,0.12017801,0.115684085,0.113354504,0.11193407,0.11003683,0.10563899,0.098270305,0.08921931,0.082084544,0.079508655,0.08303526,0.09025967,0.100292005,0.11047932,0.121554315,0.1304642,0.13799663,0.14230026,0.14526047,0.14470167,0.14140011,0.13593334,0.13210396,0.13155882,0.1339732,0.13750716,0.13907094,0.13589908,0.12486114,0.10794123,0.08947923,0.0755096,0.06708603,0.063002184,0.06105882,0.061596166,0.065534614,0.07294142,0.08219003,0.09179243,0.1009784,0.109578736,0.11579508,0.118451804,0.117519826,0.11705927,0.1195972,0.1261546,0.13210712,0.13398732,0.12886153,0.119378604,0.10982532,0.1065323,0.11447444,0.13679068,0.1730287,0.21711159,0.258154,0.28282478,0.28270707,0.25697002,0.21580225,0.17281921,0.14193197,0.12700354,0.12594263,0.12886137,0.12823902,0.118652575,0.104681194,0.094784014,0.09750229,0.11151009,0.12886786,0.14300734,0.1540281,0.16798519,0.18463288,0.19931503,0.20294382,0.20138778,0.21306868,0.26121548,0.34142628,0.41628888,0.4364046,0.38500166,0.29016992,0.2012647,0.14826412,0.1313606,0.13336809,0.14106427,0.1468585,0.14757131,0.14033532,0.12905072,0.11960983,0.11679063,0.11676077,0.11660274,0.1187202,0.1333425,0.16481721,0.20623241,0.24219216,0.26194847,0.26737103,0.26607367,0.26699767,0.27014568,0.27453622,0.2727519,0.26235694,0.24405842,0.22906636,0.22805695,0.24317904,0.26317307,0.27069083,0.2559243,0.22119425,0.18139988,0.15236636,0.14705501,0.16416009,0.19331549,0.2143742,0.21710163,0.19989629,0.17583181,0.15573381,0.14917253,0.15457432,0.16551311,0.1703744,0.16344494,0.14604487,0.12668921,0.11350886,0.11166013,0.12195798,0.14154387,0.16528188,0.18499726,0.1946265,0.19017278,0.17655618,0.1609122,0.15309998,0.15444379,0.16298473,0.17007321,0.17284872,0.1708615,0.17282619,0.18328302,0.20199712,0.21688099,0.21950161,0.21172398,0.20937364,0.22220285,0.24463482,0.25597873,0.24350809,0.20995528,0.17176992,0.14226738,0.12634079,0.12266638,0.12914021,0.14620854,0.1708393,0.19618537,0.21001899,0.20740415,0.19077344,0.17147309,0.1555183,0.14556073,0.13854855,0.1354929,0.13807629,0.14941113,0.16626255,0.18109703,0.18535513,0.17943294,0.17139278,0.1719002,0.18319796,0.1998599,0.21021645,0.2058581,0.1845007,0.1542334,0.12713279,0.111509584,0.10568806,0.100906044,0.09144542,0.0785455,0.069042005,0.06626744,0.06866991,0.07143592,0.07248005,0.073114984,0.07646459,0.08408421,0.09629208,0.11302781,0.13594715,0.16353887,0.19085842,0.2084195,0.21342748,0.20953117,0.20740168,0.2119207,0.22230159,0.23027092,0.22862685,0.21340515,0.18866605,0.16300236,0.14617638,0.14378364,0.15735951,0.18369627,0.214544,0.23833497,0.24494688,0.23356219,0.21232389,0.19560991,0.19443215,0.21055116,0.236283,0.2597067,0.27636036,0.2863587,0.2925667,0.2909185,0.27888528,0.25817636,0.23836035,0.22635113,0.22296704,0.22078927,0.21460696,0.20339721,0.19460368,0.19201523,0.19487101,0.19432758,0.1871957,0.17854844,0.18070193,0.20190711,0.23692174,0.271284,0.28609803,0.27629402,0.24707343,0.21711133,0.19813931,0.19593118,0.20166545,0.20566146,0.19881229,0.18152706,0.159729,0.14227481,0.1332009,0.12948233,0.12605907,0.12534718,0.13907449,0.1740169,0.22105038,0.2570121,0.27011073,0.26665935,0.26784933,0.281106,0.29903138,0.30113432,0.27791163,0.23150147,0.17588998,0.1253077,0.092794605,0.08802247,0.109529324,0.14349748,0.16770257,0.17009722,0.15210514,0.12514378,0.09927041,0.08043188,0.070718735,0.06846904,0.06957968,0.07027457,0.06891589,0.06646045,0.06338248,0.059958603,0.055243015,0.04925513,0.043612823,0.0413018,0.043757394,0.04844978,0.05053288,0.04796088,0.044287756,0.045534413,0.053497016,0.06288185,0.066121675,0.059908193,0.048214763,0.03743012,0.031572256,0.029872345,0.029850794,0.0301548,0.03129889,0.034202132,0.038179822,0.04202954,0.04652728,0.057653356,0.08508279,0.13321674,0.19363803,0.24501367,0.2693316,0.26107115,0.22911023,0.18418153,0.1382324,0.10316375,0.08929085,0.095650524,0.109810956,0.119953476,0.12444621,0.12952857,0.13721307,0.14251089,0.1394098,0.12746328,0.110218145,0.091258615,0.071912386,0.053751066,0.039972477,0.036769986,0.049829274,0.07756469,0.108207874,0.12461963,0.1182166,0.09334009,0.064031094,0.041722436,0.032410335,0.03489582,0.045088816,0.05506127,0.059106797,0.05542812,0.049566027,0.048258115,0.05431411,0.06342534,0.067533486,0.0626355,0.0504656,0.0380801,0.032048527,0.038168356,0.05897096,0.09134081,0.12509511,0.14612283,0.14614291,0.12666447,0.0997451,0.07845504,0.069969565,0.0710642,0.07242527,0.0674276,0.055916924,0.043410424,0.033718366,0.027949506,0.025170011,0.026048044,0.031849947,0.042259295,0.054280072,0.062891826,0.06481807,0.058934074,0.048338067,0.03671411,0.027954206,0.022677371,0.020127797,0.019075034,0.01942669,0.021626934,0.024948454,0.028307244,0.03041584,0.031610075,0.03216466,0.033135075,0.03547154,0.04107969,0.050040852,0.060316253,0.06836409,0.07310002,0.07662296,0.08172815,0.088208556,0.09183817,0.087648846,0.07371983,0.05336392,0.032904223,0.017779747,0.009666379,0.0068865563,0.0068534184,0.007945656,0.009873449,0.01283295,0.017367333,0.024281874,0.034565497,0.047092665,0.058244813,0.06338769,0.062299903,0.05970419,0.06259033,0.072992004,0.08758205,0.09918865,0.10302719,0.09744423,0.08622414,0.075279035,0.07154333,0.07645979,0.087027304,0.09585738,0.099216916,0.0963183,0.09005944,0.08135843,0.0698889,0.055238422,0.03907386,0.02564857,0.018973561,0.02205672,0.033363327,0.04781721,0.05802105,0.06079435,0.058593277,0.0566233,0.056802835,0.05640879,0.053132594,0.048110083,0.04648609,0.05235061,0.06682399,0.08699137,0.107968606,0.12591608,0.1392389,0.14930615,0.1563281,0.16039819,0.160133,0.1567738,0.15053475,0.14247335,0.13379435,0.12851344,0.1306246,0.13733913,0.14088161,0.13128951,0.10935298,0.08364063,0.06917443,0.07572391,0.10454599,0.14656211,0.1867895,0.21348657,0.22240382,0.21815424,0.20752746,0.19684304,0.1898955,0.18750872,0.18693714,0.18358217,0.17645906,0.16923523,0.16607772,0.16525331,0.16089725,0.1501243,0.13722952,0.12884502,0.12686825,0.1278836,0.12828289,0.12852035,0.13049762,0.13504654,0.14001264,0.14397366,0.14533333,0.14453469,0.1409698,0.13552429,0.12768403,0.11804405,0.10688707,0.09649936,0.09008533,0.0923726,0.10630771,0.1313474,0.16359176,0.20040874,0.24071245,0.27759588,0.29664934,0.28309044,0.23860776,0.17947024,0.12555309,0.08587366,0.0598066,0.04370375,0.034113023,0.028231734,0.022947462,0.01753916,0.013352025,0.012285426,0.01458888,0.018471137,0.021918789,0.023583276,0.02373828,0.023117097,0.022701053,0.022485122,0.022170687,0.02130487,0.020300182,0.019460134,0.018672748,0.017488467,0.016825074,0.019717311,0.029001638,0.044314325,0.059534058,0.067008585,0.06197779,0.04765914,0.03168167,0.02164449,0.01954936,0.022550628,0.02571627,0.025630562,0.021878177,0.016247021,0.0110890865,0.007597814,0.0057501346,0.0051446906,0.005844967,0.007748161,0.0100386245,0.011022593,0.009924304,0.00727565,0.004919865,0.004160069,0.0051025734,0.0066466318,0.007401927,0.0069223475,0.0057596005,0.005222552,0.006104976,0.008550979,0.012080568,0.015871817,0.01871267,0.01944449,0.018036684,0.01623412,0.016024267,0.01796971,0.02017887,0.020866534,0.019619966,0.017948769,0.016858293,0.016245713,0.015333989,0.013985488,0.0129545145,0.012731057,0.013250002,0.013668138,0.013719323,0.013383604,0.01308686,0.012756254,0.01249873,0.012658968,0.013652352,0.015220944,0.0161715,0.015665552,0.01394591,0.0123421475,0.011911447,0.012675419,0.014077172,0.01544366,0.016581438,0.017238162,0.017469155,0.017405152,0.017619655,0.018724414,0.021597778,0.02660664,0.03303086,0.038176727,0.03906159,0.034303237,0.026043935,0.018277975,0.014795918,0.01621023,0.020336242,0.0231203,0.02216118,0.017461719,0.011973847,0.009024057,0.01155253,0.019591045,0.030229963,0.03770717,0.03803798,0.031524125,0.023256527,0.018101715,0.017576827,0.019955719,0.024518393,0.03390875,0.050783534,0.07247162,0.09032377,0.09687347,0.09331424,0.08634257,0.082823135,0.084002666,0.09245639,0.10821998,0.12839068,0.14149486,0.14013483,0.12660779,0.112956464,0.10743502,0.10753573,0.10427635,0.09151564,0.07325218,0.05790356,0.052724704,0.055516932,0.059921596,0.059583407,0.058491576,0.0698084,0.108816124,0.17678551,0.25154695,0.2986289,0.29273626,0.23854513,0.16235317,0.095753886,0.054185804,0.037528303,0.03432562,0.033964556,0.030200118,0.023572003,0.017192183,0.013692554,0.012879348,0.013105203,0.012863886,0.011864123,0.010552943,0.009561472,0.00916222,0.009146159,0.009099388,0.009094931,0.010340184,0.014595109,0.022756701,0.033488307,0.043070123,0.04752541,0.04461279,0.036587987,0.028242217,0.025064288,0.02779431,0.033374026,0.036055278,0.033540327,0.026947819,0.020253291,0.015774667,0.013938527,0.013857412,0.015620738,0.02041704,0.029835425,0.04415381,0.061913956,0.07902642,0.09050512,0.0915224,0.0813816,0.06332921,0.043866098,0.028126815,0.018480184,0.0140231075,0.013556124,0.01697957,0.026315173,0.041138146,0.057295334,0.0668277,0.06756451,0.06484955,0.06826538,0.07905393,0.08844011,0.085204445,0.06724865,0.04269649,0.022011494,0.010778825,0.009337286,0.016737914,0.030737877,0.04701656,0.058158796,0.059865024,0.052422855,0.041659523,0.03213754,0.02655241,0.023822486,0.022472868,0.020331653,0.017229902,0.014368902,0.014017545,0.016557895,0.020246623,0.022310471,0.021446869,0.01878574,0.017205127,0.021214915,0.03479353,0.061140668,0.096309185,0.12979937,0.14518124,0.13372673,0.09947038,0.058972776,0.028171817,0.014176379,0.015240528,0.025234805,0.038772706,0.049654216,0.053973403,0.04895355,0.037378237,0.02338258,0.0123904,0.006069973,0.0041419645,0.0047540157,0.0072264005,0.01222168,0.020174516,0.03079935,0.04230176,0.053945225,0.06524763,0.07541873,0.08177977,0.08120957,0.07312801,0.059521955,0.044260085,0.030373244,0.02020391,0.014679632,0.014153334,0.018764274,0.030020729,0.04750679,0.06870275,0.08636469,0.09800326,0.10371956,0.111004196,0.12119913,0.13536662,0.14573736,0.14953835,0.14157288,0.12575303,0.1036961,0.08112154,0.059264023,0.04261047,0.03435436,0.037523944,0.049349297,0.06331069,0.071810156,0.071624026,0.06569459,0.06338955,0.075160585,0.10388573,0.13866782,0.15956692,0.15349849,0.124525905,0.09138324,0.0714794,0.07094399,0.08200157,0.091798596,0.09264738,0.08956184,0.09875355,0.12717302,0.16566287,0.18666168,0.1786777,0.14669104,0.11581539,0.09880582,0.09987565,0.10930554,0.11739933,0.113969214,0.09670522,0.07247775,0.053590924,0.04720503,0.050737668,0.05440252,0.05155334,0.041136794,0.028361425,0.01745944,0.010918048,0.007929681,0.007920628,0.010997803,0.018936483,0.032116037,0.049708694,0.06836864,0.08615144,0.099621944,0.105659544,0.09994146,0.08285385,0.0592601,0.03677314,0.020433776,0.01136566,0.009556517,0.015926676,0.031747583,0.053334188,0.07161439,0.07605807,0.064309046,0.042922188,0.023356967,0.013390937,0.016952135,0.034724932,0.06403279,0.09580812,0.11635226,0.11575642,0.0947181,0.06465011,0.039366677,0.028250843,0.032106683,0.044814,0.056520384,0.059521005,0.05206209,0.038120665,0.023725362,0.012684192,0.0067377407,0.0062738284,0.012390857,0.02411879,0.03788695,0.046838965,0.046637747,0.037477866,0.024812087,0.013779167,0.006984599,0.0037372655,0.003426592,0.007536456,0.021635054,0.05078956,0.095330454,0.14278854,0.17605795,0.17988436,0.15615207,0.11623905,0.07727591,0.04831409,0.03327815,0.029241696,0.031404328,0.033348512,0.031271584,0.025199175,0.01877085,0.015847264,0.018067686,0.024056872,0.030345127,0.033464465,0.031171067,0.024389498,0.01594459,0.009608351,0.007096423,0.007979785,0.010048527,0.011133761,0.01037244,0.008555554,0.0077038645,0.009695672,0.014708649,0.021013984,0.025308771,0.025588786,0.021596586,0.0157232,0.010395201,0.00773963,0.008960797,0.015546809,0.02970016,0.051989555,0.07912013,0.10158565,0.10932552,0.09760096,0.07232466,0.04477446,0.024567654,0.014000672,0.010324315,0.010014606,0.011492797,0.014399606,0.017764458,0.02000983,0.019780189,0.017412448,0.014297254,0.0122379055,0.0118416,0.012684514,0.013405006,0.0133420685,0.012738392,0.013254256,0.015953617,0.021133466,0.026532883,0.029820131,0.02885439,0.025035774,0.02116892,0.02045265,0.022703668,0.025343755,0.025274104,0.02186282,0.016778791,0.012221244,0.009097069,0.0071479324,0.00584,0.005045773,0.0047150007,0.004618089,0.004404037,0.0040934295,0.005266121,0.010851205,0.024253733,0.044560123,0.0670544,0.08446189,0.09399184,0.09509579,0.08849352,0.0734055,0.05259006,0.0330807,0.023172127,0.02738157,0.044423148,0.07057395,0.09801719,0.11896378,0.12470918,0.11557385,0.09617748,0.07523167,0.055905562,0.03944785,0.02562528,0.015883947,0.011518319,0.013612241,0.022226311,0.03561678,0.048917044,0.05730815,0.059609305,0.060439926,0.06423891,0.07057888,0.072959565,0.06715793,0.055730566,0.049260885,0.05652873,0.07875907,0.10441323,0.11886535,0.11263478,0.09149403,0.068567716,0.055479687,0.051732127,0.05013075,0.0443709,0.036843535,0.036202632,0.05013585,0.07785503,0.10764528,0.12500888,0.1221808,0.10509669,0.084605806,0.068318285,0.05441529,0.040042274,0.024844458,0.012860872,0.0062315245,0.004614528,0.00553683,0.0076363846,0.01091646,0.016287044,0.02346845,0.03022992,0.033017367,0.02998505,0.022368044,0.013913057,0.007823257,0.00519733,0.005038988,0.005742011,0.006191323,0.006034737,0.005447095,0.0046667145,0.0039218212,0.0034289432,0.0033415332,0.0036693562,0.004285779,0.005463807,0.007677961,0.011291704,0.01526747,0.017821403,0.017156051,0.013885733,0.010323691,0.009677324,0.012420482,0.016652294,0.018613031,0.016871436,0.012258067,0.007660024,0.0047332556,0.0038625088,0.0040763076,0.0044895858,0.0044139517,0.003733727,0.002680879,0.0017168922,0.0010952622,0.0008283085,0.0007375849,0.0006964938,0.00065164757,0.00060712086,0.00056231255,0.00049556524,0.00039600325,0.00027500084,0.00017275925,0.00012445719]