[0.0093003865,0.008809944,0.007835836,0.0068079247,0.006017244,0.0055365846,0.0053224782,0.005383083,0.0057206266,0.00625751,0.006793151,0.007152693,0.007276364,0.007247305,0.007154641,0.007060318,0.0069501526,0.006837147,0.0067110374,0.006602945,0.0066343085,0.0071948455,0.009024329,0.0127829835,0.01850303,0.024777079,0.02941111,0.03033875,0.027484784,0.02241298,0.017604278,0.014368293,0.012801688,0.011983849,0.01124235,0.010273878,0.009217749,0.0082693035,0.0075923116,0.007210518,0.007034892,0.0069180224,0.006782856,0.0066239093,0.0065192212,0.0065287887,0.0066848,0.0069765584,0.00733448,0.0076998533,0.007983719,0.008336089,0.009396188,0.012810576,0.020735415,0.03467235,0.053468782,0.07342353,0.08979092,0.100114696,0.104919456,0.10707445,0.10927511,0.11397385,0.123913646,0.14241372,0.17041737,0.2037933,0.233588,0.25135207,0.2539404,0.24510397,0.23148437,0.2186547,0.20837353,0.20108032,0.19852768,0.20609073,0.22813565,0.2626747,0.29847574,0.32185498,0.32627213,0.31655622,0.3038523,0.29602697,0.2933153,0.2899495,0.28126374,0.26896942,0.26191178,0.26886734,0.28965044,0.31232476,0.32122636,0.30888483,0.28050002,0.2487889,0.22298235,0.20501511,0.19088398,0.1791565,0.17280115,0.17786624,0.19541259,0.21890031,0.23640233,0.2388163,0.22563834,0.20407408,0.18275975,0.16552185,0.1518725,0.14053921,0.13226555,0.12745231,0.12419846,0.118718326,0.10890486,0.09586731,0.08403316,0.07892606,0.08642787,0.108505785,0.14171672,0.17541511,0.19964744,0.20989116,0.21082456,0.20949881,0.21041377,0.21288337,0.2137456,0.21092182,0.20379262,0.19367869,0.18136872,0.16811882,0.15443519,0.14224298,0.13337696,0.12951355,0.12945604,0.13045771,0.1305268,0.13121049,0.13618158,0.14672852,0.15963097,0.16953339,0.17501587,0.18167871,0.19881831,0.23184341,0.27509305,0.3140426,0.33348128,0.32857636,0.30609477,0.27892843,0.255949,0.23893265,0.22518806,0.21424209,0.21005766,0.21685733,0.23379338,0.25266054,0.26492345,0.26613283,0.25912234,0.2473029,0.23334192,0.21708842,0.20008583,0.18462761,0.17507839,0.17585635,0.1923071,0.22632702,0.27426207,0.32378992,0.36067304,0.37419188,0.3649675,0.34141716,0.3151269,0.29178172,0.2705019,0.24762602,0.22430022,0.20782751,0.20599394,0.21899731,0.2379858,0.25047386,0.24921572,0.23527141,0.21669716,0.20208377,0.19698107,0.20229541,0.2163326,0.23601691,0.25716472,0.27458188,0.28311637,0.2791073,0.26166424,0.23280434,0.19812061,0.16521333,0.14193316,0.13288154,0.13728839,0.14856516,0.1575644,0.15836997,0.15180504,0.1430209,0.13682477,0.13580228,0.14356722,0.16437745,0.19938214,0.2420394,0.28161702,0.31012997,0.32645643,0.33416495,0.33637598,0.33436647,0.32804954,0.31830403,0.30647635,0.29394004,0.2814801,0.26944867,0.25778118,0.2454409,0.23126398,0.2154183,0.20006536,0.18748266,0.17766668,0.1685244,0.15903425,0.15161248,0.1525713,0.1685396,0.203703,0.25508216,0.31228969,0.35952938,0.3838654,0.38136658,0.3579007,0.3232995,0.2857763,0.25052097,0.22108006,0.19903195,0.18417363,0.17514314,0.17287527,0.17877693,0.19233443,0.20690365,0.21391632,0.20695837,0.18736829,0.16134177,0.13682048,0.11845168,0.10816751,0.10714855,0.116951406,0.13858475,0.16863675,0.2016844,0.23166807,0.2568324,0.27679595,0.29175317,0.29989627,0.2990402,0.28911373,0.274658,0.26565367,0.27164838,0.29479626,0.3251814,0.34749815,0.35037652,0.33377492,0.3052392,0.27421296,0.24712253,0.22837989,0.22173454,0.22914292,0.24833167,0.27061477,0.28506267,0.2840412,0.26883355,0.24661757,0.2251466,0.20692898,0.19133346,0.17685847,0.1642232,0.15470137,0.1509511,0.15606163,0.17127259,0.19176264,0.20603244,0.20447277,0.187186,0.16719745,0.16007948,0.17419921,0.20445544,0.23771851,0.26144516,0.27064884,0.26846692,0.2613879,0.25495204,0.25103796,0.24869032,0.24540812,0.2391663,0.2293226,0.21738012,0.20685418,0.20312412,0.21012421,0.22702032,0.24595661,0.25660184,0.25250039,0.23511487,0.21181263,0.19047265,0.17610186,0.17025568,0.17342997,0.1878673,0.21609037,0.25788766,0.30413446,0.34091768,0.355534,0.34679615,0.32311824,0.2969996,0.2760667,0.2619424,0.25298455,0.24808158,0.246623,0.24601664,0.24147339,0.22898804,0.2095202,0.18855429,0.1723097,0.16321798,0.15909971,0.15530236,0.14797235,0.13666765,0.1254604,0.12181423,0.1336775,0.16311516,0.2030973,0.23824827,0.256129,0.25468197,0.24270625,0.2287698,0.21466951,0.19762641,0.17809294,0.16287875,0.16121356,0.17749389,0.20760368,0.23900147,0.25817442,0.25687107,0.23722196,0.20793456,0.17940302,0.15829863,0.14802468,0.150182,0.16622716,0.19468212,0.22902043,0.256874,0.26627198,0.2521661,0.22180074,0.19046445,0.17312348,0.17531718,0.19231637,0.21419758,0.2330214,0.24595243,0.25465116,0.26241866,0.27140057,0.28031352,0.2841156,0.27729928,0.25808734,0.23114878,0.2046904,0.18695617,0.18351291,0.19615571,0.22170617,0.25075427,0.27246705,0.28029534,0.2770224,0.27071545,0.26850164,0.27169016,0.2766473,0.27850625,0.27298883,0.2575816,0.23188226,0.19975115,0.16867994,0.14610891,0.13495553,0.13233066,0.13313524,0.13333829,0.13252048,0.13322963,0.14133084,0.16243832,0.19880621,0.24457337,0.28903958,0.32140896,0.3372779,0.33824882,0.32933816,0.31584802,0.30165365,0.2893324,0.27948523,0.2724931,0.26848924,0.2681272,0.27010605,0.27135822,0.26749966,0.25713858,0.2427318,0.22957908,0.21990941,0.21101578,0.19729763,0.17709959,0.15538238,0.14126958,0.14160015,0.15683432,0.1813544,0.20742244,0.22971897,0.24704452,0.26080617,0.27115652,0.27562222,0.27072778,0.2567753,0.23915993,0.22542495,0.21878688,0.21507676,0.20614247,0.18612552,0.15639468,0.123627625,0.09710836,0.085598655,0.09762745,0.1368909,0.19801946,0.26338598,0.3125687,0.33209005,0.3230716,0.29453337,0.25646394,0.21443582,0.17367427,0.14246742,0.13149022,0.14586066,0.17915712,0.21516879,0.23932485,0.24657834,0.24146551,0.2283087,0.20749427,0.177108,0.14152391,0.11169317,0.10209631,0.12070649,0.16569924,0.223244,0.27584997,0.3089608,0.3196821,0.31428233,0.30357924,0.2943862,0.28795376,0.28103545,0.2709948,0.25836304,0.2481528,0.24556983,0.2519239,0.26025775,0.25996056,0.24245977,0.20876355,0.16678911,0.12738936,0.09704579,0.07924063,0.07604426,0.09312925,0.1338106,0.19502497,0.2604145,0.31119788,0.33356822,0.32985952,0.31140807,0.29332814,0.28436399,0.28613603,0.2933464,0.29861644,0.29631737,0.28504935,0.266283,0.24224728,0.21395028,0.18282318,0.15126783,0.123278596,0.10154309,0.08654492,0.07663525,0.070934065,0.07102278,0.079584084,0.09770503,0.12228149,0.1484315,0.17089476,0.18713756,0.19611602,0.20032267,0.20314091,0.20749278,0.21129958,0.2103948,0.20280884,0.19342865,0.19024841,0.19829135,0.21496426,0.2321505,0.24030697,0.23344459,0.21128063,0.18328919,0.16571094,0.17754924,0.22155376,0.28271058,0.3293234,0.34410036,0.32762277,0.29947296,0.2720323,0.2491488,0.2267716,0.20345856,0.18089898,0.16245298,0.15234965,0.15285724,0.16273923,0.17489958,0.18043704,0.17363566,0.1566792,0.1364921,0.11908472,0.10477241,0.0920978,0.08238802,0.08299209,0.09973239,0.13264817,0.17175889,0.20641059,0.22889721,0.24034399,0.24450539,0.24637866,0.24774627,0.24905638,0.24997418,0.2521476,0.25839862,0.26961896,0.28053102,0.28181174,0.26687625,0.23854397,0.20708299,0.18284737,0.17004664,0.16662091,0.16912095,0.176812,0.19339468,0.22167273,0.25850382,0.29120782,0.30610445,0.2962466,0.26720378,0.2298782,0.19428135,0.16469492,0.14177851,0.1244949,0.11263814,0.10805712,0.11497873,0.13570692,0.1663424,0.1948772,0.20890544,0.20304452,0.18302941,0.15896302,0.13897155,0.12530456,0.117599934,0.11588801,0.12270745,0.14169043,0.17410678,0.2149514,0.25166616,0.26930413,0.2586476,0.22240633,0.1732959,0.12651321,0.0928557,0.07757648,0.083712555,0.11240357,0.15859233,0.2075826,0.2411656,0.24985851,0.23869996,0.21983449,0.19953966,0.1758533,0.14764966,0.12452168,0.122826576,0.14973994,0.19483085,0.23497832,0.2556671,0.2567068,0.25039288,0.24418533,0.23925084,0.23073919,0.21686248,0.19896324,0.18109554,0.16551055,0.15192547,0.13862419,0.12541753,0.11444658,0.10946412,0.11498942,0.1353967,0.17176192,0.21887259,0.26538184,0.30087018,0.3216544,0.3322467,0.33870268,0.34359738,0.34427974,0.3367802,0.31827113,0.2891978,0.253274,0.21876071,0.195574,0.19116628,0.2047112,0.22831003,0.25073537,0.264002,0.2640675,0.2510439,0.2265182,0.19422312,0.15919916,0.12879477,0.11244955,0.12054083,0.15935773,0.2229902,0.2918955,0.34065056,0.3545507,0.3365613,0.30286193,0.267903,0.23625676,0.20374767,0.16613719,0.12573707,0.09035152,0.06819373,0.06237684,0.07174903,0.09125212,0.11352444,0.12843128,0.1286384,0.11379651,0.092357695,0.07531777,0.07073515,0.08034248,0.10103753,0.12529637,0.14336057,0.14592594,0.13040978,0.103378244,0.07813119,0.066419385,0.07186752,0.08924798,0.10924381,0.12482657,0.13350238,0.1362937,0.13441016,0.12842579,0.11855352,0.105818145,0.09204582,0.080301166,0.07517454,0.08185784,0.1028995,0.1356268,0.17285639,0.20743392,0.23467557,0.25205466,0.25671574,0.24651605,0.22245018,0.18962777,0.15554185,0.12671407,0.10864539,0.10563042,0.121353485,0.15481701,0.19838633,0.23857296,0.26393142,0.2710966,0.26618478,0.25880286,0.25618443,0.26013282,0.26847067,0.27791595,0.2862134,0.2926308,0.29694608,0.29890957,0.29824236,0.29504326,0.2900391,0.2838766,0.27710438,0.26938805,0.26048702,0.2500375,0.23819019,0.22487289,0.21046792,0.1961853,0.18420605,0.17624904,0.17224617,0.17080735,0.17134719,0.1758805,0.18775748,0.20801206,0.23242275,0.25288782,0.2625966,0.260178,0.24991484,0.2380314,0.23062117,0.23153633,0.24182403,0.25628045,0.26617837,0.26327708,0.24864136,0.23114918,0.2244234,0.23554261,0.26342654,0.2970818,0.32538545,0.34099898,0.3450098,0.34126946,0.3336691,0.32390425,0.31440532,0.30896473,0.31165138,0.3233287,0.34007218,0.3544533,0.3600438,0.35568514,0.34482852,0.33200026,0.31781876,0.3010726,0.28118205,0.2637048,0.2574157,0.27166584,0.3061305,0.35004592,0.3834916,0.3924705,0.37432715,0.339494,0.29901013,0.25943923,0.22058557,0.18258643,0.14963587,0.13168143,0.13790716,0.16966088,0.21501161,0.2541308,0.26877335,0.25267014,0.21277577,0.16418506,0.12122643,0.09163156,0.076439135,0.07360834,0.081814565,0.10039892,0.12674539,0.15502192,0.17773533,0.19073339,0.19500346,0.19633698,0.20053965,0.21073204,0.22590466,0.24283676,0.25833857,0.2707405,0.27978906,0.28568769,0.28863654,0.2890313,0.28739867,0.284235,0.2795339,0.27283815,0.2636104,0.25179747,0.23893422,0.22734684,0.21889524,0.21198039,0.20256065,0.18719222,0.16818386,0.15297656,0.1481633,0.15220074,0.1558872,0.15261571,0.14845908,0.16154663,0.20518796,0.27285555,0.33613053,0.3662989,0.35310516,0.311896,0.26645303,0.23247224,0.20956141,0.18901865,0.16568859,0.14234138,0.12757435,0.12723492,0.1414439,0.16425316,0.18772523,0.20527501,0.21285224,0.2098123,0.19764633,0.17987756,0.16023846,0.14214753,0.12924883,0.12563962,0.13577992,0.16079682,0.19810551,0.24124925,0.2848291,0.3244958,0.35715294,0.37794054,0.38344833,0.3739994,0.35531235,0.33398974,0.3143358,0.29671812,0.28001773,0.26261917,0.24428613,0.22547592,0.20806527,0.19322884,0.18177028,0.1737057,0.17056511,0.17464437,0.187626,0.20724095,0.22799341,0.24378073,0.25197175,0.25338206,0.24986611,0.24137366,0.22644506,0.20544593,0.18331517,0.16811045,0.16591938,0.17617844,0.19213898,0.20552027,0.21168792,0.21112448,0.20734544,0.20380372,0.202011,0.20178403,0.2020359,0.2015177,0.1991526,0.19457453,0.18863715,0.18290107,0.17849799,0.17487764,0.170148,0.16230798,0.15085876,0.1371567,0.123844065,0.11417096,0.111583315,0.11923033,0.13787884,0.16449457,0.19182366,0.21168502,0.21715379,0.20597099,0.18003713,0.14709134,0.11778516,0.10510481,0.1181731,0.15846479,0.21430731,0.26606134,0.2957383,0.2995652,0.28733185,0.27416337,0.2681944,0.2690281,0.27105936,0.27060834,0.26680374,0.26149428,0.25629076,0.25298393,0.25248918,0.25588262,0.26220182,0.26850295,0.26835594,0.25549895,0.22672926,0.18658532,0.1454648,0.115890205,0.10604176,0.11776916,0.14640124,0.18385942,0.22170036,0.25549078,0.2856983,0.31547046,0.34450483,0.3666912,0.3733656,0.3623782,0.3429745,0.3308202,0.33466315,0.34767118,0.35245362,0.33593807,0.29993296,0.25805888,0.22350962,0.20062135,0.18637474,0.17840101,0.177687,0.18678026,0.20424306,0.22611076,0.24730319,0.2664074,0.28392097,0.30184615,0.31894338,0.33146045,0.33347002,0.32230163,0.29938903,0.27076784,0.24287742,0.22060998,0.2057057,0.19729531,0.19374569,0.19357921,0.19629037,0.19931823,0.19860657,0.19034922,0.17696638,0.16586168,0.16451046,0.1731072,0.1856097,0.19575895,0.20244269,0.20859456,0.21629643,0.22437401,0.23027329,0.23322773,0.23634408,0.24397455,0.25837976,0.2749608,0.28521043,0.28282002,0.26950777,0.2525547,0.2360373,0.21843313,0.19484584,0.16757874,0.14747258,0.1504121,0.18328196,0.23530054,0.28137743,0.29863265,0.2831084,0.25013748,0.22153443,0.20922345,0.21111947,0.2165692,0.21691282,0.21064837,0.20335275,0.20129405,0.20575733,0.21039997,0.20687984,0.19209062,0.17263366,0.15900297,0.15798861,0.16730101,0.18041481,0.19146268,0.19982201,0.20689912,0.21508086,0.22484793,0.23646873,0.24857007,0.25959077,0.2675278,0.27203664,0.27366754,0.27310544,0.26967287,0.2623565,0.25133678,0.23882276,0.22807316,0.2214397,0.21908838,0.21868235,0.21674031,0.21100223,0.20174612,0.19247626,0.19056542,0.20684515,0.25104204,0.31749478,0.382844,0.41352975,0.39642096,0.3431009,0.2840543,0.23821454,0.21030325,0.19295423,0.18152618,0.17342515,0.16757321,0.1621279,0.15639944,0.15167026,0.14997919,0.1525936,0.15759142,0.16098408,0.15832067,0.14897943,0.13651457,0.12770028,0.1292819,0.14442994,0.17048685,0.19797961,0.21705778,0.2228729,0.21938072,0.21311986,0.20811886,0.2032153,0.1955352,0.18380909,0.1691581,0.15442987,0.14179693,0.13218345,0.124705605,0.1182169,0.112238176,0.10713366,0.10337857,0.10048449,0.09792025,0.0966061,0.10130763,0.11807523,0.15037374,0.19295233,0.23470616,0.26321253,0.27391133,0.2698512,0.2599468,0.2512274,0.24750608,0.24952066,0.2595426,0.27955285,0.3072809,0.3313722,0.33690706,0.31454062,0.26811162,0.21133578,0.15962745,0.12282317,0.10354028,0.10031802,0.110829294,0.13426079,0.1681456,0.20671563,0.23922159,0.25681427,0.25541937,0.2385965,0.21108271,0.17742969,0.14032038,0.10585636,0.08372014,0.08691639,0.12180371,0.1824609,0.24660377,0.28973362,0.29685512,0.2726177,0.23117988,0.18682738,0.14574894,0.11202681,0.09224529,0.09895891,0.13949768,0.20923014,0.2857286,0.34577134,0.3752401,0.37903365,0.3683877,0.35414115,0.33908096,0.3221675,0.3005712,0.2729447,0.2395889,0.20297986,0.16726895,0.13742109,0.11709694,0.10673028,0.10312792,0.10109544,0.09625891,0.08715508,0.07593278,0.06695903,0.06474482,0.07209203,0.08953816,0.11495817,0.14375411,0.16987438,0.18877578,0.19951308,0.20448916,0.2065696,0.20695329,0.20509504,0.20016716,0.19216906,0.18231183,0.17254251,0.16493829,0.1604808,0.15861394,0.15738215,0.15567552,0.1544493,0.15650247,0.16335572,0.17478074,0.19098185,0.21406156,0.24468417,0.27618098,0.29699156,0.29809377,0.28095892,0.2543843,0.22809023,0.20753573,0.19394362,0.18603867,0.18089236,0.17608799,0.17050785,0.16477711,0.15951002,0.1549702,0.15133455,0.14916122,0.14863755,0.14869606,0.14698432,0.14196043,0.13527046,0.13304384,0.14180052,0.16354065,0.19215368,0.21850145,0.23614614,0.2458025,0.25129446,0.2552427,0.2557105,0.24854867,0.23115988,0.20611781,0.18135951,0.16619425,0.16542368,0.17550302,0.18719395,0.1921343,0.18856186,0.18023439,0.17189336,0.16539359,0.1613047,0.16173889,0.17123632,0.19315238,0.22566831,0.26093382,0.28929102,0.3045461,0.30667245,0.2994057,0.28666744,0.27010384,0.24990861,0.22659874,0.20216809,0.17950249,0.16047932,0.14488341,0.1307504,0.116361775,0.101556934,0.087790765,0.07656335,0.06831698,0.062259626,0.057883576,0.056339115,0.061193842,0.07679758,0.10563337,0.14525919,0.18865703,0.22699541,0.25463334,0.27068737,0.27774236,0.2779815,0.27162576,0.25814292,0.23782791,0.21248989,0.18419021,0.15601565,0.13233225,0.11800203,0.11422977,0.116653584,0.11766074,0.11324895,0.10653347,0.1074141,0.12589145,0.16603003,0.21962677,0.26836693,0.29173663,0.28048477,0.24165319,0.19417603,0.15574637,0.13444304,0.12757932,0.12861897,0.13300137,0.13965316,0.1470862,0.15103264,0.14694026,0.13553433,0.12344129,0.11688307,0.1151408,0.111023754,0.10103259,0.09128512,0.09852957,0.13466115,0.20044197,0.277174,0.34334353,0.38031575,0.38754836,0.37337175,0.35185525,0.3302252,0.30933008,0.28607428,0.25997308,0.23752302,0.22955842,0.24355422,0.27427986,0.30325508,0.31073132,0.28934336,0.24903755,0.20645124,0.17328423,0.15166776,0.14095789,0.14405702,0.16682559,0.20947225,0.26121452,0.30466494,0.32820734,0.33213055,0.32445177,0.3106654,0.29093874,0.26379082,0.23145227,0.1993592,0.17293312,0.15481187,0.1447854,0.14080143,0.14043611,0.14147753,0.14263761,0.1427816,0.14133246,0.137931,0.13311087,0.12754671,0.12145551,0.11429918,0.1053673,0.09495623,0.08443271,0.07566022,0.06963405,0.066086404,0.06389468,0.06201033,0.060888723,0.06335732,0.075413205,0.10194393,0.14195973,0.183729,0.21132495,0.2131745,0.19087343,0.15507539,0.1186767,0.08906588,0.06899509,0.060000926,0.06708657,0.096673764,0.14969084,0.21394497,0.2666657,0.2873913,0.27165592,0.23297931,0.1917783,0.16201411,0.14566885,0.13730969,0.13189268,0.1287557,0.12980385,0.1349511,0.14061026,0.1418379,0.1365901,0.12687625,0.11699122,0.10998281,0.107133694,0.1093872,0.1203731,0.14368671,0.18067777,0.22489445,0.2663624,0.29351893,0.30166352,0.29262137,0.2745137,0.25505874,0.23786257,0.22279532,0.2086172,0.19693606,0.18955289,0.18711476,0.18605353,0.18306787,0.17818004,0.17621732,0.18267022,0.19837247,0.21994203,0.23997325,0.25305772,0.25620642,0.25412798,0.25430104,0.2632303,0.27985063,0.29899183,0.3163942,0.33142874,0.3443919,0.3531966,0.35443857,0.34566846,0.32762757,0.3025098,0.27310732,0.24067743,0.20726673,0.17529733,0.14906208,0.13096331,0.12135512,0.117328495,0.115750045,0.114115655,0.111748256,0.1089753,0.106543,0.10476767,0.103336,0.10168266,0.099672675,0.09757483,0.0956715,0.093768336,0.0918383,0.090378314,0.09062498,0.0945758,0.10580131,0.12915842,0.16709684,0.21472536,0.2595002,0.2880517,0.29546785,0.28715917,0.27440444,0.2664286,0.26804456,0.27982673,0.29970893,0.32453585,0.35002884,0.37277117,0.3875998,0.38951018,0.37429428,0.345076,0.31076643,0.28197965,0.26353243,0.25547546,0.2573695,0.27031603,0.2939397,0.3221732,0.34613368,0.357986,0.35570446,0.34070227,0.31727743,0.28963682,0.26265582,0.2396424,0.22294335,0.21378744,0.2127512,0.21980195,0.23433675,0.2573366,0.28936782,0.32700968,0.36064494,0.378816,0.37721935,0.35962594,0.33540156,0.31062606,0.2888326,0.2703506,0.25597095,0.24493867,0.23517726,0.22342284,0.20682323,0.18489452,0.15914847,0.13340467,0.11163435,0.097895175,0.09413152,0.09960687,0.10947111,0.11706239,0.11742004,0.110488,0.10029284,0.09116044,0.08480761,0.080123745,0.07565158,0.071412586,0.069437005,0.07184294,0.078981556,0.087994225,0.09460032,0.095477514,0.09093437,0.08419448,0.07959705,0.08003237,0.08719049,0.10272559,0.13013445,0.1712587,0.22225554,0.2692225,0.29518935,0.28885654,0.25417104,0.20641911,0.16438462,0.13959505,0.13407616,0.1416248,0.1539067,0.16363488,0.16716689,0.16300173,0.15177333,0.13556667,0.11877701,0.10742902,0.10749489,0.12288561,0.15264542,0.19051026,0.22532983,0.24701287,0.25108752,0.24226032,0.22877984,0.21770519,0.21037139,0.20666353,0.2056462,0.20742428,0.20951056,0.20988338,0.20722246,0.20367862,0.20228659,0.20690446,0.22005661,0.24119075,0.26412308,0.27901408,0.27717945,0.25756738,0.22622226,0.19368948,0.16760994,0.15218848,0.14705636,0.15132308,0.1621885,0.17619242,0.1887058,0.19700044,0.20141165,0.20485032,0.21139385,0.22302754,0.23906429,0.25450853,0.2632017,0.25991848,0.24420787,0.22064929,0.19670045,0.17853646,0.16701452,0.15853998,0.14792842,0.13334404,0.116548,0.10123036,0.089435734,0.08088987,0.074338086,0.06926516,0.06627355,0.06554813,0.066118725,0.0659479,0.063597605,0.059030488,0.05358639,0.0487427,0.04537402,0.043755207,0.04423609,0.047351595,0.053153735,0.060414728,0.06688606,0.07067586,0.071827024,0.07291055,0.0776065,0.08919775,0.10863954,0.1362957,0.17043589,0.20781796,0.23910649,0.25420144,0.24551861,0.21664083,0.17753363,0.14027262,0.11049772,0.08874928,0.072624795,0.061642542,0.057760566,0.06381998,0.08004733,0.10221654,0.123486936,0.1381649,0.14463957,0.1443635,0.13981296,0.13283972,0.12511162,0.11863476,0.115535736,0.118218936,0.12793009,0.14499961,0.16740961,0.19223793,0.21522368,0.23131825,0.23596632,0.22695614,0.20748003,0.18417971,0.16661413,0.16344823,0.18005772,0.2130537,0.24856281,0.26835492,0.26037055,0.22693616,0.18092991,0.13709156,0.10379245,0.083123244,0.074243665,0.076111086,0.086305104,0.09964318,0.10923622,0.11071656,0.10439906,0.094591655,0.085543126,0.07962984,0.076725505,0.07575212,0.075509004,0.07620967,0.08024791,0.09118313,0.110122554,0.13260563,0.14977603,0.15436755,0.14560117,0.12931193,0.11260781,0.099859275,0.09196108,0.08961923,0.095547795,0.11439991,0.1489578,0.1971519,0.2506499,0.29849377,0.33131877,0.3453697,0.34311986,0.3305074,0.31478134,0.3007619,0.29166555,0.2866647,0.28309655,0.27572784,0.26123717,0.23935997,0.21524589,0.19591606,0.18693478,0.18851559,0.19795574,0.21323538,0.23659128,0.2697016,0.3089849,0.34180117,0.3551949,0.34323964,0.31212184,0.2734591,0.23776992,0.21130143,0.19520462,0.18749733,0.18339051,0.18113177,0.18216078,0.18864681,0.19767015,0.20246786,0.19844581,0.18628775,0.1701572,0.15300275,0.1366073,0.122114666,0.111826755,0.10837684,0.115861855,0.13718349,0.17285939,0.2171299,0.26261476,0.3011167,0.3297759,0.34646615,0.3525786,0.34818968,0.33539343,0.31484362,0.2886689,0.25981745,0.23373668,0.21408015,0.20061825,0.18759187,0.17053796,0.14859946,0.12680107,0.109603696,0.100128286,0.09799993,0.1017583,0.107453465,0.10989187,0.10454133,0.09098806,0.07330726,0.056929696,0.045189857,0.03816865,0.034645718,0.033741202,0.035180192,0.038393065,0.04196823,0.044492517,0.045380678,0.046162557,0.050424878,0.06299522,0.08747151,0.12385019,0.16821961,0.21422465,0.25602168,0.2901369,0.31663302,0.33709428,0.35096988,0.35290965,0.3362265,0.29943386,0.2499545,0.19983532,0.15889108,0.13164942,0.1199967,0.12696774,0.15483676,0.2004004,0.25075036,0.2885798,0.30123904,0.28830647,0.25942776,0.22624987,0.19652872,0.1733257,0.15963198,0.15981412,0.17812645,0.21422382,0.26160595,0.31127214,0.35567296,0.39188004,0.41862473,0.43510067,0.43852487,0.42654935,0.3977801,0.35508785,0.30488604,0.25642434,0.21670891,0.18785356,0.16653334,0.14786258,0.12922008,0.11127299,0.096144825,0.08474526,0.07681782,0.0725573,0.075006664,0.08795819,0.11234343,0.14136226,0.16377492,0.16962743,0.15811442,0.13608831,0.11367842,0.0975916,0.09081789,0.094592385,0.11208703,0.14742333,0.20166337,0.26610354,0.32298985,0.3529561,0.34816805,0.3172828,0.28042394,0.25736704,0.25706777,0.27648437,0.30379903,0.32862186,0.3457377,0.35679352,0.36300907,0.36322176,0.35354272,0.33353868,0.30654666,0.27897146,0.25518757,0.23806518,0.228216,0.22660615,0.23212636,0.24315675,0.25555715,0.26648018,0.2729223,0.2755957,0.27490535,0.2724365,0.26573494,0.25324425,0.23390162,0.21246509,0.19449006,0.18490069,0.18411869,0.1917543,0.20966981,0.24263744,0.2933599,0.35516748,0.4123917,0.44857657,0.45937252,0.45376596,0.44553444,0.4399304,0.43290296,0.416199,0.38670787,0.34611583,0.30129346,0.2583269,0.22259521,0.19500639,0.17631324,0.16693874,0.17015082,0.18746084,0.21730955,0.25080332,0.27634788,0.28339946,0.2698564,0.24024992,0.20345902,0.16712709,0.13695523,0.11569337,0.10363302,0.09900238,0.09933779,0.10248503,0.10674975,0.11042226,0.11216392,0.11120731,0.10852968,0.10618482,0.10714146,0.11300855,0.12359023,0.13635981,0.1481182,0.15588228,0.15809964,0.1549186,0.14820915,0.14048241,0.13379431,0.12966542,0.1294943,0.13422912,0.14280485,0.15187593,0.15816842,0.1606391,0.16062188,0.15891808,0.15510987,0.14824896,0.13936709,0.13155364,0.12886302,0.13390337,0.1464423,0.16384836,0.18258514,0.19930993,0.21068938,0.21368615,0.208048,0.19702975,0.18708031,0.18227409,0.1839623,0.18953772,0.19759603,0.20639236,0.21558772,0.22285964,0.22654064,0.22390354,0.21376471,0.19569224,0.17272852,0.14974602,0.13145535,0.119283825,0.11109608,0.10375842,0.095517494,0.08788809,0.084692985,0.08872982,0.0990218,0.10955051,0.11452222,0.111075886,0.10198627,0.091315426,0.08309531,0.07874232,0.07904698,0.08509189,0.100896396,0.13121909,0.17696716,0.22943664,0.27300692,0.29445678,0.2932906,0.28187993,0.27583173,0.28402436,0.30611148,0.33903006,0.37841526,0.4182379,0.44588614,0.45067,0.42846933,0.38766304,0.33948436,0.29443106,0.25672072,0.22907425,0.21217561,0.20804505,0.21631472,0.23537846,0.25846148,0.27914762,0.29144225,0.29506028,0.2902111,0.2783309,0.25956535,0.23631589,0.21204294,0.19059831,0.17505126,0.16795646,0.17184092,0.18901992,0.2233078,0.27928874,0.3568221,0.44176278,0.5066495,0.5259736,0.49582842,0.43815055,0.38458264,0.3567219,0.35609496,0.36993924,0.37961197,0.37050644,0.33737066,0.28655925,0.23231208,0.18773948,0.15992515,0.147489,0.14676376,0.1531653,0.16344534,0.17271219,0.17651497,0.17233448,0.16154854,0.14771158,0.13439633,0.124045454,0.11720697,0.11306272,0.10975423,0.107227504,0.10687699,0.110704124,0.11754968,0.12388539,0.12560652,0.121296145,0.11254084,0.10291221,0.09644508,0.09596109,0.10207131,0.113320865,0.12740512,0.14240725,0.15589164,0.1647083,0.16580689,0.15891983,0.1472785,0.13563877,0.1277935,0.1248945,0.1269264,0.13369556,0.14639217,0.16514905,0.18717335,0.20476133,0.20982222,0.1985345,0.17530884,0.14931464,0.12969534,0.12119133,0.12490269,0.14054187,0.16874216,0.20873825,0.25564393,0.29721555,0.31999028,0.31576517,0.2898173,0.25563452,0.22769004,0.21176223,0.20594959,0.20494585,0.20515244,0.20567064,0.20698003,0.21093518,0.21975656,0.23394938,0.24896842,0.25633976,0.24872585,0.2255218,0.19274922,0.15927936,0.13212605,0.11527721,0.110761285,0.11959157,0.141366,0.17110734,0.19989616,0.21715875,0.21831761,0.20620991,0.19077581,0.18107437,0.18203135,0.19195567,0.20643125,0.2205419,0.23002599,0.23189974,0.2251696,0.21354596,0.20265873,0.19665413,0.19362868,0.18811212,0.17628445,0.16043906,0.14794274,0.14597587,0.15710293,0.17919622,0.20778088,0.23896031,0.2693249,0.29644227,0.31878555,0.33560157,0.3463581,0.3496304,0.34406853,0.32822037,0.3019134,0.2674057,0.23039901,0.19778909,0.17360657,0.15739818,0.14693174,0.1406732,0.13861366,0.1409844,0.15028678,0.1699763,0.200879,0.23444724,0.25572857,0.25185505,0.22203404,0.1764415,0.1292622,0.09063369,0.065080434,0.054346833,0.06097032,0.08831928,0.1353205,0.19168812,0.23886247,0.26069352,0.25361148,0.22910176,0.20473391,0.19392765,0.20156108,0.22562928,0.2603251,0.2965869,0.32387125,0.3335745,0.3235582,0.2989786,0.26877004,0.24043177,0.21705431,0.19800687,0.18170668,0.16740377,0.15597153,0.14888346,0.14748572,0.15117972,0.15785073,0.16468878,0.17057444,0.17520195,0.17838623,0.17810303,0.1725986,0.16146387,0.14867015,0.14171758,0.1504491,0.18162142,0.23456842,0.2985445,0.35648617,0.3921049,0.3979517,0.37720644,0.3414259,0.30341074,0.27442273,0.26070234,0.26445413,0.2810293,0.30081806,0.31083262,0.30200282,0.2729913,0.23128249,0.18756652,0.15026094,0.12264245,0.104556836,0.09521117,0.09460474,0.10217112,0.115166366,0.12775211,0.13409066,0.13117222,0.1213006,0.10931197,0.09951967,0.092716604,0.08738614,0.08161947,0.07525536,0.069394946,0.06548691,0.06381523,0.06373095,0.06399578,0.063751124,0.06263243,0.060835328,0.059026655,0.05816118,0.059249282,0.06262681,0.067755125,0.07316344,0.07746535,0.08001229,0.081255294,0.081968,0.08246332,0.08245855,0.08160278,0.08015341,0.078827165,0.07832342,0.07856985,0.07847357,0.07614767,0.06992168,0.05950227,0.046432823,0.033362295,0.022577303,0.015095323,0.010674036,0.009382135,0.013554677,0.029349118,0.06346482,0.11659604,0.17702061,0.2244354,0.24109663,0.22331871,0.18143068,0.13156329,0.08635309,0.05184077,0.028980037,0.016069734,0.010493861,0.009354514,0.010118779,0.010798645,0.01040173,0.008922976,0.0070757573,0.0055763437,0.004725724,0.0043779165,0.00430839,0.004475182,0.0051524364,0.0066190995,0.008830377,0.011169694,0.012820594,0.013264701,0.012598482,0.0113068335,0.009873472,0.008557567,0.0074447338,0.006645566,0.0063997307,0.006954078,0.008232693,0.009643828,0.010350958,0.009874892,0.00850287,0.007077376,0.0064588482,0.0070836185,0.00907191,0.012947273,0.020087399,0.03227369,0.04888333,0.06549019,0.07467321,0.07187171,0.05846222,0.041484833,0.027554594,0.019528583,0.015982123,0.014506492,0.014189563,0.016680332,0.02559869,0.043204892,0.06803433,0.09384785,0.11458681,0.12961584,0.1458757,0.17288421,0.21162622,0.2499011,0.26626953,0.2477923,0.19911516,0.14063852,0.09163115,0.060269404,0.04316154,0.033790242,0.02776465,0.023561142,0.020568572,0.018130204,0.015690252,0.013255511,0.011320989,0.010374825,0.010384268,0.010740171,0.010750146,0.010164219,0.009356481,0.00896678,0.009473305,0.010920686,0.013880511,0.020897599,0.0379767,0.07118507,0.120919146,0.17600834,0.21803649,0.23120002,0.2127245,0.17249817,0.12570964,0.08438466,0.054059,0.035174873,0.025383158,0.02179519,0.021713281,0.023190053,0.024831273,0.02585385,0.026052013,0.025636489,0.024953937,0.024185276,0.023832113,0.025703063,0.03388166,0.05394273,0.08900192,0.13550581,0.18184914,0.21418405,0.22372371,0.21164638,0.18649136,0.1591844,0.13873148,0.1315106,0.14080364,0.16563624,0.19837928,0.2268268,0.23985009,0.23536648,0.22088028,0.2078828,0.20257962,0.20299645,0.20199059,0.19441317,0.18083118,0.16850306,0.16786458,0.18882982,0.23300292,0.2915337,0.34684518,0.3853275,0.40234843,0.4031675,0.3934604,0.37728977,0.35541221,0.3285571,0.29747486,0.26508686,0.23534356,0.21145368,0.19344564,0.17971756,0.16878206,0.15960313,0.15011309,0.13786884,0.1224288,0.10734602,0.10000018,0.10974729,0.14231718,0.1933661,0.24523222,0.27694467,0.2788699,0.26109436,0.24310184,0.2375316,0.24290924,0.25002587,0.25173548,0.24413937,0.22530846,0.19466281,0.15725611,0.122799665,0.10210123,0.10231727,0.12662068,0.17230357,0.22940366,0.2807294,0.31173572,0.31818143,0.30868915,0.2946531,0.28295407,0.27365097,0.26411578,0.25235114,0.23640919,0.21532261,0.18890528,0.16049086,0.13592768,0.1233049,0.13038844,0.1596387,0.20393431,0.24540092,0.2668711,0.26236877,0.24315493,0.22597216,0.22133727,0.22527756,0.22761007,0.22132713,0.21249515,0.21389677,0.23632014,0.27542397,0.31659606,0.34264037,0.34673437,0.33058324,0.30149144,0.26604274,0.23073365,0.20101987,0.18149953,0.1746266,0.18156074,0.20137566,0.22930694,0.2547188,0.2648624,0.25179222,0.21832877,0.1753638,0.13507073,0.10431554,0.0855164,0.08073331,0.09519574,0.13320875,0.19082214,0.25219217,0.29754773,0.31551608,0.3092794,0.2898041,0.26576903,0.23938447,0.21103095,0.18414384,0.16529651,0.15929087,0.1651503,0.1759661,0.18305461,0.18090262,0.17033094,0.15771873,0.1514814,0.15686657,0.17379342,0.19805276,0.22622915,0.2573906,0.29046285,0.3202422,0.33694896,0.33297884,0.30770174,0.2703153,0.23356126,0.20787393,0.19547153,0.1915739,0.18877997,0.18176478,0.16873299,0.15038775,0.12910081,0.10855213,0.09225001,0.08249155,0.08106131,0.09219673,0.1220749,0.17284666,0.23693724,0.29890466,0.34580037,0.37396204,0.38698944,0.388859,0.38195035,0.37094164,0.36286643,0.36198243,0.36365303,0.3581302,0.34031782,0.3170289,0.30121043,0.30098522,0.31104907,0.31832358,0.3100666,0.28293514,0.24208792,0.19867454,0.16299175,0.14158428,0.13694032,0.15172607,0.18749702,0.24139075,0.30030444,0.3483065,0.37406933,0.3794029,0.37106618,0.35399774,0.32595733,0.28506893,0.23565972,0.189085,0.15743937,0.14877135,0.16586596,0.20758589,0.2659405,0.32591107,0.36574873,0.36909458,0.33201602,0.26900992,0.20224734,0.15286584,0.13161306,0.14137088,0.17733645,0.22950907,0.2820829,0.3203818,0.33552516,0.32849506,0.30493942,0.271216,0.23125793,0.1890266,0.15007336,0.120742984,0.10456555,0.09987771,0.10114988,0.10316179,0.104019105,0.105056085,0.10767361,0.11082902,0.11140592,0.10782585,0.10324451,0.10446474,0.116649084,0.13860345,0.16358186,0.18407883,0.19634394,0.1996861,0.19547951,0.18482433,0.17058702,0.15503919,0.14176902,0.13355474,0.13477266,0.14648251,0.16526456,0.18216027,0.18998039,0.18795557,0.18319483,0.18524773,0.20043282,0.22766443,0.2591854,0.28511438,0.2996405,0.30364797,0.30261794,0.30151138,0.30214658,0.3031967,0.30280283,0.29936424,0.29165956,0.27787897,0.2578089,0.23531611,0.21922737,0.2166156,0.22595294,0.23538457,0.23301584,0.21642561,0.19463627,0.17819811,0.1709398,0.16861896,0.16688643,0.16727525,0.17919795,0.21041183,0.25945726,0.30955493,0.3411559,0.34306028,0.3229386,0.2964904,0.27687335,0.26507685,0.25588185,0.24430545,0.23059563,0.21738319,0.2064691,0.196541,0.18507065,0.1702627,0.15339313,0.13682215,0.12222037,0.108343355,0.09374245,0.07938444,0.0705115,0.073761754,0.09214396,0.120612524,0.14742763,0.16152912,0.16080278,0.15210491,0.14420791,0.13985796,0.13646859,0.13116877,0.12625067,0.12871261,0.1471804,0.18486689,0.23606126,0.28568947,0.31870762,0.3262162,0.3104045,0.27904332,0.24291813,0.21016735,0.1864984,0.17386098,0.17272793,0.18100856,0.1934446,0.20211041,0.20125012,0.19183002,0.1804416,0.17367172,0.1729456,0.17538148,0.17726256,0.17696242,0.1744351,0.17026432,0.1651715,0.16074671,0.15894873,0.16058396,0.1630975,0.161282,0.15036157,0.13026826,0.10595366,0.0855894,0.07636473,0.083369575,0.10589322,0.13824858,0.16954285,0.19202687,0.20313038,0.20731224,0.20904405,0.21144064,0.21574502,0.22462972,0.24065252,0.26186797,0.27803266,0.2752442,0.24636222,0.19902332,0.15057378,0.116090536,0.09872573,0.09181873,0.08661155,0.080106534,0.0768371,0.086582504,0.11614392,0.16359703,0.21580124,0.2584899,0.28379583,0.29546046,0.29981318,0.30105665,0.29737148,0.2881725,0.27541202,0.2658404,0.26320037,0.26663736,0.2670925,0.2559364,0.2293251,0.19384038,0.15986659,0.13624853,0.1247988,0.12307786,0.12829602,0.14111078,0.16448818,0.19826268,0.2354672,0.26391006,0.27598795,0.27359903,0.26686755,0.26449037,0.26876917,0.27488065,0.27597666,0.26773703,0.25276533,0.23723324,0.22585106,0.21462739,0.19645774,0.16684413,0.13095976,0.09773306,0.07474958,0.06302432,0.06070074,0.06703647,0.086252294,0.12207395,0.17148687,0.21982491,0.2506853,0.25563383,0.24135746,0.21949129,0.19850592,0.17749423,0.15439457,0.13066168,0.11424107,0.112114824,0.12512219,0.14661889,0.16773736,0.18356091,0.19308265,0.1973836,0.1959495,0.18947423,0.18005025,0.1716084,0.16658355,0.16606049,0.1710277,0.18213326,0.19857556,0.21489309,0.22415066,0.2196166,0.2004794,0.17053162,0.13834433,0.112372704,0.100094974,0.106385946,0.13362175,0.17887962,0.23120081,0.2732319,0.28875676,0.27297324,0.23566304,0.19596522,0.17001067,0.16354893,0.17197414,0.19009924,0.21821773,0.26060188,0.3137268,0.36181077,0.38405526,0.37229964,0.33689448,0.29913297,0.27399167,0.2636201,0.25963628,0.25281057,0.23797192,0.21572454,0.18988168,0.16426568,0.14097749,0.12014467,0.10223409,0.0880703,0.07861798,0.07295221,0.069109015,0.065700345,0.06409944,0.067740165,0.079477556,0.098818004,0.12139583,0.14151748,0.15460308,0.15971488,0.15848605,0.15453547,0.15030743,0.14685103,0.14317293,0.13831258,0.13175939,0.12425232,0.11693308,0.111241736,0.10781032,0.10653058,0.10638648,0.106536426,0.10647804,0.106428266,0.107203595,0.11055532,0.11823368,0.13095112,0.14733362,0.16509254,0.18201546,0.19683467,0.20857024,0.21645331,0.2191506,0.21521826,0.2040521,0.18950157,0.1807037,0.18827069,0.21504419,0.25042263,0.2750601,0.2738903,0.24595247,0.20278184,0.1578268,0.1218513,0.103188,0.11368763,0.15905206,0.23250191,0.30782962,0.35949573,0.37590924,0.3686243,0.35366985,0.33883324,0.3190614,0.28886172,0.2511378,0.21699522,0.19848095,0.20148444,0.22269225,0.2500975,0.2679137,0.2651842,0.24203289,0.20885573,0.17778163,0.1553293,0.14106993,0.13369472,0.13693209,0.15994357,0.20816617,0.27323604,0.33125332,0.35714188,0.3411902,0.29563233,0.24284832,0.2006052,0.1738535,0.15886854,0.14960486,0.1424712,0.13634469,0.13177507,0.12967938,0.13055843,0.13394727,0.13821776,0.14128524,0.14146669,0.13808747,0.13171618,0.1234664,0.1148865,0.10722498,0.10151867,0.09783223,0.095406026,0.09330097,0.09166946,0.0915932,0.093419224,0.09538561,0.09459281,0.08949029,0.08113533,0.07225373,0.065199286,0.061032236,0.059521426,0.05964333,0.05996057,0.05914675,0.05676024,0.05334297,0.050018385,0.048007894,0.04878257,0.054604262,0.06681509,0.084264845,0.10193807,0.11458781,0.1192243,0.11704213,0.11056417,0.10251925,0.094341606,0.08706593,0.08100628,0.077057,0.07700115,0.08328947,0.097291075,0.11728805,0.13864051,0.15450765,0.15985012,0.15329027,0.13906969,0.123364836,0.11158642,0.10586395,0.106789924,0.11478517,0.12942196,0.14794135,0.16435194,0.1732157,0.17227347,0.1643865,0.15419246,0.1456697,0.14055812,0.13985582,0.14532734,0.15827644,0.17759718,0.19734667,0.21025921,0.21128197,0.20170341,0.1863119,0.17036168,0.15607561,0.14440788,0.13772923,0.14243287,0.16594534,0.20949392,0.2613568,0.30001104,0.3071327,0.28063396,0.23512864,0.19024742,0.15793025,0.13913143,0.12884794,0.122731484,0.11928605,0.1189485,0.12090531,0.12268135,0.121225916,0.11699941,0.11380398,0.11561348,0.12152081,0.126408,0.12585844,0.12041936,0.115033,0.11454323,0.12113906,0.13354908,0.14934854,0.16551687,0.1796636,0.18939288,0.19330128,0.19157095,0.18638533,0.18057603,0.17558551,0.17163415,0.16881402,0.16853435,0.17155237,0.17712694,0.18230921,0.18461792,0.18211858,0.17451791,0.16216852,0.14786571,0.13595353,0.13158713,0.13647729,0.14789775,0.15920478,0.16527903,0.16511773,0.16213971,0.16002238,0.16011482,0.16082633,0.15928824,0.15365122,0.14458896,0.13541149,0.12934272,0.12680209,0.12469926,0.11962044,0.110177375,0.097806305,0.08431112,0.07179107,0.062323485,0.06014748,0.07025244,0.09758529,0.14069556,0.19021092,0.22941224,0.24622087,0.24018721,0.22402056,0.21201807,0.21093254,0.21637344,0.21961199,0.21550696,0.20765205,0.2039265,0.20895952,0.21805151,0.22162342,0.21361743,0.19689548,0.17976843,0.1681451,0.16194083,0.15786323,0.15616639,0.16447453,0.19264512,0.2427452,0.30013332,0.3403405,0.3442291,0.31232774,0.26158175,0.21257044,0.17735131,0.15789428,0.15055464,0.1510299,0.15672638,0.16684847,0.18094881,0.19716221,0.21234906,0.22452052,0.23599327,0.25305748,0.28227976,0.32371,0.36808345,0.39945996,0.40539384,0.38560724,0.35380483,0.3289919,0.3237264,0.3356245,0.34970665,0.34781983,0.32326183,0.28500795,0.25262278,0.24063958,0.2516261,0.2778041,0.3091949,0.33728573,0.35449767,0.3564242,0.34335923,0.32172918,0.2981374,0.27712214,0.25957155,0.24534321,0.2331841,0.22141671,0.20817626,0.19196773,0.17148864,0.14664076,0.11964798,0.09523494,0.07777008,0.068726934,0.06614856,0.066723384,0.06777663,0.06793869,0.06701354,0.06687959,0.07269599,0.09315562,0.13517565,0.19771178,0.26696014,0.3228388,0.34839967,0.3403376,0.30776954,0.2673566,0.23339248,0.2143718,0.21159194,0.2227308,0.24347536,0.2661052,0.28035414,0.275882,0.2534389,0.22459646,0.20691663,0.20784561,0.22196575,0.23567627,0.23935606,0.23208116,0.22008997,0.21058558,0.20688029,0.20635796,0.20413518,0.19766913,0.19049037,0.19054957,0.20681067,0.24345775,0.295767,0.34860197,0.38310742,0.38557312,0.35516092,0.3020111,0.24232173,0.19048966,0.15548666,0.1383422,0.13500653,0.13978781,0.14974822,0.16392148,0.18199314,0.20085992,0.21583565,0.22139813,0.21544702,0.20013112,0.18190919,0.16732131,0.15989488,0.15958808,0.16482373,0.17448765,0.18732893,0.20159243,0.21520655,0.22716884,0.23725748,0.2454735,0.25093552,0.2528527,0.25070527,0.2461278,0.24182452,0.24137457,0.24679369,0.25938234,0.27927506,0.30459812,0.32907593,0.34242904,0.3357278,0.3069806,0.26489425,0.22522362,0.20555352,0.21653704,0.25885347,0.3226924,0.39407778,0.45700613,0.49541426,0.49424157,0.4480863,0.36719358,0.2757554,0.19911559,0.15322046,0.14139134,0.15833974,0.19330885,0.23283832,0.26363432,0.27728486,0.2715467,0.24923004,0.21479724,0.17371494,0.13232051,0.09830165,0.07964877,0.08313004,0.11085399,0.1570488,0.20756805,0.24627249,0.26333347,0.2596898,0.24284385,0.21972956,0.19394064,0.1695437,0.1564336,0.16783644,0.20992096,0.27152538,0.32631037,0.3480556,0.32676283,0.27284727,0.20744622,0.1490254,0.107471325,0.08584099,0.08682287,0.11170956,0.15664275,0.2061718,0.2399352,0.24332117,0.2185405,0.18026726,0.14492877,0.12047997,0.10643551,0.098832436,0.095023245,0.09485503,0.10058821,0.114525594,0.13706172,0.16343242,0.18722124,0.20296504,0.20994617,0.2076235,0.1951885,0.17374478,0.1524431,0.14873916,0.17893863,0.24953644,0.3489355,0.45264673,0.52833956,0.55145913,0.5145391,0.4338449,0.33933547,0.25985482,0.21122926,0.19669704,0.21192877,0.24768142,0.28831705,0.31592962,0.31777716,0.29428253,0.25551888,0.2144301,0.17868088,0.15106507,0.13288392,0.12903504,0.14910068,0.19999473,0.2780311,0.36321065,0.43043146,0.4601287,0.44827414,0.4011118,0.33221212,0.25771,0.19422574,0.15231691,0.13250399,0.12709208,0.12662125,0.12526777,0.12186751,0.11830541,0.11755372,0.122383095,0.13425046,0.15169166,0.1692756,0.17991734,0.18094994,0.17945701,0.18965535,0.22288729,0.27940866,0.3491707,0.42019853,0.48343515,0.53355485,0.56666535,0.5827949,0.5859903,0.58266133,0.5748425,0.558888,0.52733845,0.4755402,0.40464664,0.32287633,0.24240352,0.17498232,0.12691262,0.09736407,0.08186389,0.078100055,0.0901042,0.123343386,0.17653315,0.23429358,0.27457896,0.28109547,0.25518748,0.21194421,0.17012401,0.14087795,0.12613662,0.12234775,0.1284831,0.15099315,0.20239456,0.29042408,0.4051439,0.5177019,0.5936707,0.61358166,0.57983035,0.5117719,0.43221506,0.36141297,0.31280804,0.2929455,0.2994707,0.3236914,0.35404286,0.38249373,0.40592316,0.42453578,0.4343604,0.4270458,0.39387167,0.33770287,0.2735042,0.22311367,0.19976772,0.2027111,0.21717852,0.22626732,0.21995096,0.20070042,0.17850901,0.16259247,0.15559475,0.15503474,0.15937501,0.17121439,0.1948064,0.23051234,0.2720649,0.31029642,0.33800507,0.35279152,0.3543444,0.34357074,0.32300615,0.2989148,0.27852872,0.2661672,0.261139,0.25929594,0.2574676,0.25427434,0.2521319,0.25233653,0.25561592,0.25850585,0.25863007,0.25324956,0.24204062,0.22549742,0.2088096,0.20119244,0.21134843,0.24009211,0.2782353,0.31312114,0.33595896,0.34530595,0.34348533,0.33397093,0.31912753,0.3011469,0.28075063,0.25913718,0.23820896,0.22276159,0.21624333,0.2184598,0.22254185,0.22035158,0.20678765,0.18355642,0.15587027,0.13037014,0.11410955,0.116102695,0.14144237,0.18509026,0.22768795,0.24817805,0.23645806,0.20169859,0.16178948,0.13134272,0.11373096,0.10495123,0.10032297,0.09880992,0.10309041,0.11641202,0.13970016,0.16890126,0.19495241,0.20687759,0.19765328,0.16975732,0.13420059,0.10579438,0.096550584,0.11487832,0.16254348,0.23198374,0.3027279,0.35033774,0.35924038,0.33265558,0.286505,0.23788102,0.19637553,0.16527732,0.14630242,0.14276075,0.15984827,0.19921692,0.25471306,0.3083953,0.3404124,0.3380673,0.30563828,0.25700018,0.20840336,0.1689509,0.14208083,0.12770048,0.1278901,0.14768763,0.19220626,0.25737405,0.32637298,0.37546703,0.39277515,0.38716373,0.38291463,0.39613274,0.42406937,0.44953737,0.4604162,0.45582423,0.44097236,0.41630992,0.37878963,0.328601,0.2753397,0.23308855,0.2124515,0.21190815,0.21987735,0.22350334,0.22266038,0.23284884,0.274403,0.35327744,0.45335805,0.5450537,0.6042777,0.6209633,0.5979829,0.5410572,0.45866847,0.36349523,0.27583212,0.2158404,0.19417238,0.20582075,0.2329719,0.25428438,0.25401777,0.22861035,0.18627916,0.14226152,0.11189922,0.105078936,0.12405328,0.16342342,0.21427433,0.26619497,0.30957603,0.3344146,0.3351734,0.31381723,0.28171405,0.25164828,0.23054914,0.21675013,0.20708162,0.20381235,0.21442784,0.2396791,0.26738796,0.27667835,0.25815606,0.21995603,0.18277837,0.16029583,0.15547587,0.1653478,0.1929688,0.2452182,0.32082108,0.39913583,0.44602033,0.43790236,0.38013288,0.30653164,0.25386164,0.2406181,0.25799337,0.2829661,0.294009,0.28373143,0.25832576,0.2294522,0.20488094,0.18555899,0.16904569,0.15410358,0.14152843,0.13234693,0.12603916,0.12140689,0.11794164,0.11766043,0.12526917,0.14756437,0.18704583,0.23639624,0.27641293,0.29011843,0.27736193,0.2604669,0.2651892,0.29873958,0.34357676,0.374638,0.38109055,0.36975336,0.35484478,0.3440373,0.33641967,0.32495067,0.30277872,0.2678661,0.22619991,0.18816324,0.16301447,0.15555465,0.16987048,0.21032786,0.27846885,0.36725685,0.46163797,0.54499507,0.60556984,0.6411414,0.65920115,0.674527,0.70023936,0.73707485,0.77023816,0.778528,0.7523651,0.70113987,0.64626104,0.6029679,0.5719499,0.5420118,0.5024733,0.44901407,0.38584843,0.320459,0.2622128,0.21870244,0.19414581,0.18554682,0.18307626,0.1760767,0.15989284,0.13888794,0.12072671,0.110676564,0.10862618,0.11244926,0.12123629,0.13698743,0.16182421,0.19494416,0.23030221,0.25948167,0.27604744,0.2795532,0.27395654,0.2635601,0.24890254,0.22831155,0.20145221,0.17412575,0.1561928,0.15769063,0.18090914,0.21978426,0.2618451,0.29633322,0.3160526,0.31730488,0.2967213,0.25435045,0.19772406,0.14320104,0.110526055,0.11442325,0.15936314,0.23836273,0.3362491,0.43424463,0.5144308,0.56280875,0.56858826,0.5271373,0.44265893,0.33502057,0.23319362,0.165148,0.14108545,0.1533044,0.18231928,0.2120245,0.23445614,0.24963339,0.25921333,0.2634774,0.26208922,0.2554532,0.24603184,0.23618229,0.22772163,0.22087263,0.21515243,0.20940489,0.20231414,0.19329114,0.1828134,0.17254649,0.1635998,0.15786074,0.15842967,0.17240661,0.20428188,0.2520832,0.3009744,0.33374476,0.3374507,0.31257376,0.2659728,0.20783196,0.14763452,0.096587874,0.06693639,0.06759287,0.100285076,0.15408936,0.20971608,0.24516952,0.25030482,0.22942911,0.19834977,0.17033589,0.15054305,0.13622732,0.12389743,0.11343507,0.107989766,0.11072,0.12023612,0.13086231,0.13507235,0.12935668,0.11422149,0.09368656,0.07335133,0.06307644,0.07636804,0.12357781,0.20152624,0.28807923,0.35348773,0.37697455,0.36132744,0.32516786,0.28800538,0.25478747,0.21916921,0.17441148,0.1256394,0.09067419,0.09334013,0.14788137,0.24776804,0.36175337,0.4516798,0.4923526,0.48401856,0.44107282,0.3772347,0.3000428,0.21738958,0.14432386,0.09743684,0.086162485,0.10249448,0.12665212,0.13632856,0.124358796,0.097722046,0.0717086,0.053705856,0.043922063,0.040773164,0.051034134,0.088141166,0.16178267,0.2681918,0.3875042,0.49398366,0.5664172,0.59726214,0.5931289,0.56869,0.5369106,0.50174916,0.46184048,0.4171166,0.3725504,0.33295703,0.2981769,0.26348308,0.22602876,0.18992096,0.16498506,0.15806973,0.16546571,0.17362082,0.1701686,0.1540169,0.13714589,0.13702518,0.16657715,0.22769536,0.30721286,0.381703,0.42436853,0.41934896,0.36679363,0.28413633,0.19528772,0.12198768,0.07657058,0.0625914,0.07626885,0.10893109,0.14801227,0.18152471,0.20180206,0.2084363,0.20514363,0.19606991,0.18235207,0.16348454,0.1409834,0.122451276,0.120059885,0.14147645,0.17978166,0.21331869,0.22110508,0.20057058,0.17104512,0.15815647,0.17244603,0.20369412,0.23035204,0.23959452,0.23425902,0.22995824,0.23925643,0.26280546,0.28772923,0.2980163,0.28398874,0.24775834,0.19904147,0.1495526,0.107517034,0.07847584,0.06664001,0.07530028,0.103833795,0.14576234,0.19187765,0.23313348,0.26238957,0.27173865,0.25692973,0.22101343,0.17707105,0.13977782,0.118804626,0.114910096,0.12224037,0.13116612,0.1324755,0.1235936,0.11048952,0.10341009,0.10747344,0.119131885,0.1306044,0.13866031,0.14866583,0.17147362,0.21360113,0.27031693,0.32441354,0.35716048,0.3574543,0.32762942,0.2774053,0.21959072,0.16620186,0.12858161,0.115404576,0.12943335,0.1655919,0.21033013,0.24709785,0.26247895,0.2532104,0.22506906,0.18838565,0.15146467,0.11920904,0.09412577,0.079846956,0.08233023,0.10977811,0.1655327,0.24274637,0.3218443,0.38214883,0.41180888,0.41354537,0.39676,0.37059236,0.34092662,0.31228304,0.2898501,0.27754208,0.27681828,0.28482226,0.29699668,0.30907735,0.31816015,0.31966665,0.30693483,0.27503255,0.22768593,0.1763857,0.13475206,0.1107693,0.10769656,0.1247972,0.15894836,0.20234083,0.245537,0.28044736,0.30267993,0.30983862,0.30084217,0.2778059,0.24711533,0.2178091,0.1969658,0.18664771,0.18415292,0.18438388,0.18331958,0.17793459,0.16681159,0.14894217,0.12659018,0.104502164,0.08994284,0.08902212,0.105240665,0.13677171,0.17653017,0.2152545,0.24731518,0.27381825,0.3001709,0.33031932,0.36388147,0.3968208,0.4267058,0.45631877,0.49497274,0.550386,0.6195472,0.6841769,0.72091633,0.7144155,0.6659462,0.5891194,0.5033847,0.4259226,0.3688234,0.3369906,0.33114958,0.34929693,0.38550487,0.42831114,0.4612476,0.47083437,0.44879314,0.39619717,0.31948075,0.23428516,0.15946455,0.11395488,0.10553029,0.13149333,0.17850126,0.23165728,0.27519783,0.2997731,0.3004922,0.2810298,0.24732174,0.20773803,0.16849248,0.13513236,0.11054837,0.09528781,0.08731856,0.08370819,0.08192114,0.0805084,0.07884019,0.07688254,0.0748648,0.073170416,0.07196307,0.07106896,0.0699369,0.067900725,0.06428378,0.058634464,0.05095655,0.042159602,0.033832345,0.027619496,0.024210716,0.023211038,0.023452997,0.023793979,0.024322262,0.02730303,0.03775179,0.059360523,0.09086297,0.122611105,0.14316851,0.14521164,0.13133441,0.109277375,0.08745462,0.0703188,0.06013401,0.059200395,0.07235249,0.103557885,0.1509002,0.20155168,0.23721235,0.2434163,0.21923012,0.17546386,0.12746592,0.086382784,0.056968894,0.039729293,0.03444513,0.041052144,0.057582065,0.078447364,0.09585038,0.10402384,0.102481574,0.094823934,0.0858044,0.07819115,0.073686,0.073356956,0.07868496,0.08914595,0.10130316,0.10972047,0.11136058,0.10873621,0.10711241,0.1093223,0.11191428,0.10954385,0.09983263,0.08610513,0.0735869,0.06577437,0.062955774,0.06366795,0.06618837,0.069153965,0.071534775,0.07284356,0.07311061,0.07294884,0.07301359,0.07374081,0.0750496,0.07646757,0.07726079,0.0763124,0.07238289,0.06470662,0.054168824,0.043258578,0.03508999,0.031809274,0.034119938,0.041415107,0.053360526,0.071039714,0.09853586,0.13903694,0.1910633,0.24342434,0.2814388,0.29364568,0.28056896,0.25116187,0.21787266,0.18891604,0.1680119,0.15498418,0.14906262,0.14863737,0.15195747,0.15606235,0.15882438,0.15861903,0.15502572,0.14733033,0.13598149,0.12285449,0.11121889,0.1028924,0.097108684,0.09146575,0.08480584,0.07829669,0.073994346,0.07266935,0.073136754,0.07383517,0.07438033,0.0758395,0.07963937,0.086356066,0.09565115,0.10623983,0.11657846,0.12485606,0.13040142,0.13407351,0.13814329,0.14329185,0.1468186,0.14351712,0.13066177,0.11196501,0.097087145,0.09605184,0.112613976,0.14095801,0.16896468,0.18587245,0.18973814,0.18715672,0.18709356,0.1936893,0.2047829,0.2151538,0.2198654,0.21756049,0.21042918,0.20405526,0.20186107,0.20336433,0.20411493,0.20246452,0.200357,0.20167471,0.20608747,0.21053846,0.2119565,0.21167551,0.2127604,0.2177105,0.225408,0.23281258,0.2353959,0.22855078,0.20808613,0.17357205,0.13086917,0.09129292,0.06545087,0.057194903,0.062165435,0.072459586,0.08144507,0.08688051,0.08967671,0.092862345,0.098560475,0.106770225,0.11418662,0.116728894,0.11237707,0.104076065,0.099359326,0.10816873,0.13617615,0.17952079,0.22221066,0.24552347,0.23856884,0.20630157,0.16338529,0.12493738,0.09840707,0.0839481,0.077539824,0.074469484,0.07070992,0.063907534,0.053836446,0.042452578,0.03242749,0.025672441,0.022334801,0.021380512,0.021423211,0.021442493,0.020900032,0.019725265,0.018278532,0.017146816,0.016934557,0.018050343,0.020787215,0.02527041,0.031255838,0.037915606,0.044050563,0.04870094,0.05155341,0.05413988,0.060579885,0.07847601,0.113280125,0.16298223,0.2124861,0.24286906,0.24085002,0.20949781,0.16190389,0.11395321,0.07518133,0.050015863,0.039494842,0.043087546,0.056973238,0.07355391,0.084525734,0.085682414,0.07920451,0.0707317,0.064806096,0.06247005,0.062431354,0.06301724,0.06325332,0.06270324,0.06122945,0.05881157,0.05567515,0.05231024,0.049517144,0.04803248,0.048227478,0.04983237,0.052204315,0.054680716,0.057004053,0.059275117,0.061783016,0.064573936,0.06745147,0.06995154,0.071761526,0.072804935,0.07338444,0.07385218,0.07441867,0.07539032,0.07810303,0.08573998,0.102044374,0.12777478,0.15730704,0.17967118,0.18460082,0.16896366,0.13846248,0.103152074,0.07175683,0.048344072,0.03484082,0.034473192,0.05453385,0.09914806,0.16261336,0.22409095,0.26053026,0.25842038,0.2239065,0.17365141,0.12553579,0.08916675,0.06671842,0.05501491,0.04934163,0.045381412,0.040731397,0.035189617,0.03033497,0.028152721,0.029733201,0.034458324,0.040588107,0.046260405,0.05043285,0.052782714,0.053351212,0.052037064,0.048886817,0.04442096,0.040148865,0.037960872,0.039253905,0.043832015,0.05008294,0.055831436,0.05954921,0.060898185,0.06067781,0.060236905,0.060757425,0.06257438,0.06511328,0.06727747,0.06819745,0.067519344,0.06542935,0.062388327,0.05899829,0.05615211,0.055291925,0.05846235,0.066575944,0.07746724,0.08521805,0.08399343,0.072317146,0.05479604,0.038113493,0.026607277,0.02034627,0.017297259,0.015794551,0.015656898,0.017591791,0.02186747,0.027635822,0.03275162,0.035260227,0.03427948,0.030821888,0.026541779,0.022933977,0.020381786,0.020167395,0.026181413,0.046736687,0.08769866,0.14628415,0.204634,0.24129504,0.24178486,0.21032965,0.1615363,0.11247939,0.072502695,0.045744807,0.03402324,0.04176505,0.07289488,0.12563,0.18630207,0.23432584,0.25240758,0.23782314,0.20133226,0.15939109,0.1242666,0.10088721,0.08819571,0.082630076,0.08070418,0.08012581,0.0798443,0.079437755,0.07868967,0.07747453,0.07589282,0.0742583,0.07288849,0.07182542,0.07071204,0.068822816,0.065221235,0.059139397,0.050564747,0.040677484,0.03149875,0.02484441,0.021327851,0.020301228,0.020501632,0.020843856,0.021437498,0.024409113,0.034495745,0.055586915,0.08698817,0.119763725,0.14233547,0.1467374,0.13503753,0.11524755,0.09624108,0.08230554,0.07468822,0.07441703,0.08546231,0.112223364,0.15433054,0.20132868,0.23625825,0.2446069,0.22360878,0.18192281,0.13311754,0.08821859,0.053117543,0.030150184,0.020179683,0.023686571,0.0385149,0.05871548,0.07523312,0.08159202,0.077363156,0.06796399,0.05928919,0.05421896,0.052226827,0.051698808,0.051492687,0.051261913,0.051156253,0.051450748,0.05223077,0.05322374,0.053984802,0.054299306,0.054315258,0.05441585,0.054944713,0.056264315,0.058724377,0.062583536,0.06760347,0.07295153,0.07743498,0.080117285,0.08085552,0.08030208,0.07944056,0.07890142,0.07874635,0.07865756,0.07837244,0.07779767,0.07686534,0.07507906,0.07145489,0.06485703,0.05495304,0.042726036,0.03024386,0.019568413,0.011842205,0.0070453906,0.005626732,0.010491763,0.028671868,0.06655711,0.12327331,0.18441541,0.22884667,0.24009319,0.2174228,0.17299236,0.12307441,0.079036705,0.045705438,0.023495337,0.010935452,0.005803892,0.0054019038,0.006962428,0.008185496,0.0078565115,0.0060586776,0.0037324328,0.0018360313,0.00074619707,0.0002992032,0.00023766635,0.00057462725,0.001619468,0.0035401285,0.0059588267,0.007845901,0.008233174,0.006901197,0.004621769,0.0024501714,0.0010405075,0.00038294648,0.00020581966,0.0003905367,0.001154815,0.0027475066,0.005018799,0.007151983,0.008112902,0.00736786,0.0053652474,0.0031086316,0.0014394796,0.0005589753,0.0004447994,0.0018577952,0.00696234,0.018315135,0.035616096,0.05378118,0.064576395,0.06286754,0.050284818,0.03405799,0.020841243,0.013168536,0.009620337,0.007988633,0.007015184,0.006625314,0.0069721877,0.007891462,0.008670345,0.008633592,0.0076681008,0.0065169632,0.006082635,0.0066772406,0.007637005,0.008006127,0.0073705204,0.0063106827,0.0057957782,0.0063281567,0.0074305646,0.008146651,0.00789367,0.0070171016,0.006405341,0.006672843,0.0075917854,0.008366189,0.008388225,0.007803271,0.007343558,0.0076231062,0.008572806,0.009499673,0.009730247,0.009151402,0.008234846,0.0075666155,0.0074273553,0.0077369423,0.009406931,0.015877092,0.03430972,0.07064276,0.12341952,0.17829971,0.21560796,0.2211398,0.19623794,0.15362547,0.108884,0.07183488,0.04588872,0.030191937,0.02248922,0.02018544,0.020916902,0.022748103,0.02440255,0.025258387,0.025326664,0.02483663,0.023885608,0.02207973,0.019005476,0.014628223,0.009740897,0.0053951493,0.0023966895,0.0007955562,0.00017996055,2.0254221E-05,1.6367507E-06,1.6845022E-06]