[0.006278288,0.009741735,0.01726778,0.026020378,0.032366864,0.033392593,0.02865968,0.020362394,0.01182985,0.005546946,0.0021042607,0.000753822,0.00039637068,0.00034907725,0.00034903127,0.00035786044,0.0003743335,0.0004917849,0.0013442393,0.004385855,0.011617284,0.02343235,0.03724317,0.047418892,0.049343925,0.042159095,0.030075809,0.019090502,0.014725882,0.019339973,0.03179595,0.046452206,0.056243137,0.056059252,0.047076326,0.034593213,0.024898494,0.020963708,0.02295045,0.028096104,0.03256498,0.033344693,0.03312854,0.041000087,0.06633404,0.10787795,0.1494161,0.16918655,0.15655556,0.1214515,0.08847639,0.07935204,0.10039675,0.1395905,0.17919193,0.20673007,0.22247057,0.23159985,0.23773742,0.23881052,0.23417772,0.2268066,0.22247668,0.22228082,0.22400649,0.22305925,0.21825719,0.20669694,0.18839537,0.16415544,0.14468552,0.13967164,0.15529902,0.18291031,0.21020053,0.22699489,0.23388012,0.23544623,0.23492835,0.23128724,0.22440197,0.21645296,0.21288581,0.21507381,0.22284628,0.22913976,0.22735061,0.20862369,0.17291977,0.12584862,0.07983155,0.043409526,0.020209892,0.007861126,0.002572411,0.0008087105,0.00040506755,0.00035812194,0.0003387512,0.0011334753,0.005094201,0.017295718,0.041956514,0.0798701,0.12368985,0.16461182,0.19484894,0.2146213,0.2249893,0.22911175,0.2272678,0.22195949,0.21336956,0.20299728,0.19027215,0.1768959,0.16131045,0.14253743,0.11964634,0.09929039,0.09258661,0.10825384,0.14323623,0.18144889,0.2078448,0.21677797,0.21504301,0.206026,0.18982649,0.16580325,0.14455324,0.1380939,0.15031667,0.17117886,0.18768226,0.1947331,0.19486879,0.19196998,0.18301903,0.16309834,0.12943517,0.088473916,0.049926344,0.022561291,0.0076500326,0.0019519869,0.0005743175,0.0017565695,0.0066222246,0.01808101,0.035738084,0.055916984,0.07253642,0.083043925,0.08705253,0.08606946,0.083226204,0.08629623,0.10456867,0.13903056,0.1785699,0.20799296,0.22173576,0.227811,0.23635386,0.2509947,0.26198468,0.25774196,0.22885828,0.18211436,0.1342378,0.10709844,0.10976684,0.13657477,0.171546,0.20068304,0.21757509,0.22309719,0.2219825,0.21945475,0.21871866,0.22073095,0.22425991,0.22765182,0.22754842,0.21936686,0.19840734,0.16511823,0.12895797,0.10669128,0.113507785,0.15148284,0.20530915,0.25082794,0.27094933,0.2675614,0.25621012,0.2536997,0.26432797,0.28180853,0.29322132,0.28943846,0.2663629,0.22830059,0.18351273,0.14448272,0.1224071,0.12508911,0.14888196,0.18077992,0.20391671,0.2113237,0.20824665,0.20535968,0.2058745,0.20345916,0.19266309,0.17997634,0.1802835,0.20162463,0.23358536,0.25662708,0.2583898,0.24431314,0.22830598,0.22087336,0.22302015,0.23035151,0.23809902,0.24223922,0.24095212,0.23379748,0.22315462,0.2092517,0.1904503,0.16276443,0.1263635,0.08604797,0.049965158,0.023893101,0.0090243695,0.0025299382,0.0005367072,0.002021258,0.010527161,0.03453353,0.078587435,0.13872756,0.19824971,0.24208076,0.26107052,0.25778928,0.23416573,0.1941806,0.1427339,0.093579955,0.061546292,0.058386106,0.08242539,0.121189296,0.15322226,0.1621474,0.14380749,0.1120095,0.089066036,0.09159317,0.11862866,0.15062071,0.16530752,0.15274969,0.12436973,0.10323463,0.10835331,0.14313418,0.19476748,0.24595624,0.2827067,0.3002217,0.2991978,0.28722,0.27275768,0.26441893,0.26226553,0.26600608,0.27205023,0.2817475,0.28924718,0.290213,0.2785176,0.2585943,0.23673373,0.22079164,0.21258754,0.21174376,0.2171713,0.22743322,0.24010837,0.24757107,0.24194181,0.21608406,0.1735612,0.12483594,0.08681347,0.069743365,0.076030776,0.09670635,0.1219249,0.14297813,0.15837626,0.1658836,0.16406907,0.15061904,0.13286644,0.124672435,0.13941412,0.17489958,0.21361254,0.23375559,0.22611354,0.19967544,0.17485774,0.16811818,0.18052964,0.19843565,0.20447133,0.19027977,0.15835565,0.11815175,0.07966595,0.054090235,0.052698445,0.08141116,0.13149567,0.17988956,0.20442832,0.20259823,0.19167686,0.19223201,0.20702882,0.22437643,0.22906129,0.21931595,0.20213728,0.18812574,0.18065423,0.17815411,0.17541836,0.16971894,0.15918012,0.14529057,0.1272461,0.106055014,0.080739185,0.057157725,0.04408363,0.05457404,0.093394876,0.15393867,0.21590967,0.2575315,0.26415038,0.23724794,0.19051684,0.14698581,0.12567787,0.13378471,0.15992184,0.1847501,0.19602089,0.19535984,0.19392411,0.19695966,0.20546125,0.21404003,0.2218542,0.22527863,0.22547083,0.22236656,0.2211513,0.22237046,0.22692692,0.23057084,0.23169424,0.22605358,0.21407884,0.19784032,0.18309832,0.17297642,0.16716368,0.16339721,0.15753645,0.14521754,0.12194469,0.08927545,0.05437007,0.026618414,0.010370837,0.004059027,0.0030276186,0.0034971423,0.0036701078,0.0032149933,0.0024140372,0.0025370677,0.0067817545,0.02071043,0.047806624,0.08367448,0.11374313,0.12275928,0.10783842,0.08385707,0.07264769,0.084718175,0.11055399,0.12820138,0.122221656,0.09574455,0.06755221,0.05781367,0.072992764,0.10397305,0.1326549,0.14612888,0.14101592,0.12241497,0.09724983,0.07419805,0.06248526,0.07112939,0.099164344,0.13616474,0.1621703,0.16419423,0.14142963,0.111083575,0.09573204,0.10741498,0.13845325,0.16440517,0.16920811,0.15460688,0.13949029,0.1368847,0.14544751,0.15742208,0.16711718,0.17664458,0.18244232,0.180475,0.16419517,0.13608001,0.10170133,0.07206168,0.058031786,0.06766765,0.09824335,0.13419874,0.1554007,0.1511543,0.12885162,0.10884986,0.10911072,0.13498648,0.17718744,0.22050415,0.24916132,0.25156462,0.22374104,0.17260776,0.11571623,0.07056466,0.04595151,0.03705338,0.03444797,0.032531835,0.036133107,0.05436328,0.090921134,0.13404751,0.16211592,0.1575353,0.122401364,0.07462553,0.03490829,0.013007424,0.009849984,0.02400071,0.053845763,0.09261713,0.12650184,0.14263391,0.1395208,0.12939905,0.12827079,0.1446216,0.17454761,0.2083056,0.23506133,0.24633072,0.23595273,0.20612442,0.17180504,0.15385275,0.16464259,0.19716899,0.23358996,0.25859606,0.26834223,0.26584205,0.2558418,0.24112542,0.2215894,0.19412272,0.15582591,0.109689705,0.06470061,0.032565787,0.021382818,0.03686625,0.07780502,0.13755755,0.19840913,0.24419712,0.26179838,0.2517648,0.21881641,0.17542957,0.1353103,0.11635249,0.12866466,0.16797769,0.21067953,0.22883643,0.20737416,0.15636037,0.102205485,0.07131183,0.07399592,0.10350237,0.14290835,0.17752151,0.19747227,0.19852994,0.1789615,0.14555131,0.11221757,0.09625133,0.10362572,0.12621576,0.1456305,0.15061821,0.14577039,0.14838164,0.17241903,0.21449542,0.2587597,0.28798285,0.2978863,0.29293814,0.28315604,0.2751882,0.27385402,0.27790084,0.28364125,0.28394437,0.27721038,0.265663,0.2563717,0.25144634,0.2490053,0.2422548,0.22727583,0.20418817,0.18136019,0.16954988,0.17722881,0.20169358,0.23305464,0.25859383,0.2716553,0.26952723,0.25553876,0.23266323,0.20522052,0.17361097,0.14213721,0.11810026,0.10978783,0.114915274,0.119506985,0.10971653,0.08488759,0.05976613,0.05162752,0.0670096,0.0975546,0.12507504,0.13554232,0.12770803,0.116500705,0.11947346,0.14547117,0.18738414,0.23117828,0.2629632,0.27378342,0.25804523,0.21655865,0.15945618,0.10334679,0.062428046,0.042110443,0.04309796,0.06706947,0.11519906,0.17917596,0.23692317,0.2635934,0.24778493,0.2032317,0.15776138,0.13701631,0.145059,0.16980945,0.1915779,0.20301574,0.20671463,0.21175073,0.2173511,0.21534902,0.19587238,0.16129704,0.12531815,0.10601965,0.11184865,0.13868332,0.17248185,0.20236844,0.22417116,0.23912422,0.24726741,0.24830538,0.2480747,0.25324354,0.2643162,0.2658813,0.24224733,0.19049732,0.12951261,0.08478782,0.07437389,0.097741224,0.1398096,0.17877418,0.20203672,0.21189588,0.22084409,0.23351447,0.23916803,0.22289675,0.18289411,0.13853419,0.11142867,0.11195604,0.12796676,0.14371158,0.14526437,0.13390678,0.11512974,0.10196219,0.10351742,0.12583958,0.1625018,0.19926608,0.21779358,0.20739603,0.16931844,0.1169582,0.06734464,0.03312642,0.017281035,0.016784294,0.028118372,0.052709192,0.09274044,0.14659883,0.20285566,0.24399358,0.25417358,0.23034245,0.18841584,0.15274805,0.14061235,0.14750852,0.15616246,0.15227069,0.13654539,0.1222741,0.12075132,0.13326004,0.14776556,0.15310182,0.14896475,0.14726126,0.15937959,0.18460493,0.21372867,0.23648255,0.24756336,0.241912,0.21528476,0.16877794,0.11496451,0.07266631,0.05551593,0.06121466,0.07523707,0.081530996,0.075984664,0.066211596,0.06686496,0.08687902,0.12750404,0.1773569,0.2219667,0.24457936,0.23819749,0.20348428,0.15430872,0.111029714,0.09481134,0.11484343,0.15989952,0.2037648,0.21950902,0.19903605,0.15596317,0.117496826,0.10481679,0.121142864,0.14915092,0.16436447,0.1511594,0.113832176,0.07083333,0.042781252,0.042083923,0.07252264,0.1308463,0.20546556,0.27355456,0.30834183,0.29531577,0.24800326,0.19674534,0.16601701,0.15352376,0.14466359,0.13263619,0.12867002,0.1445782,0.17636783,0.20580001,0.21577464,0.2023793,0.17177598,0.13247412,0.09140003,0.05437698,0.026657665,0.010082263,0.0035602916,0.005239052,0.015786031,0.035192,0.05886204,0.07713134,0.08320715,0.07974476,0.07650292,0.082295984,0.1001479,0.12963073,0.16699882,0.20067286,0.21349849,0.19246918,0.14412229,0.089654274,0.05372636,0.04630987,0.0648407,0.09802995,0.13629605,0.16963929,0.18815197,0.18268864,0.15247385,0.108806096,0.06971968,0.050745238,0.058542013,0.091286875,0.13863967,0.1817735,0.20107853,0.19049613,0.16508481,0.14977813,0.1571819,0.17883658,0.19284262,0.18403096,0.15093102,0.10737655,0.0722055,0.06447613,0.09274558,0.14991336,0.21366757,0.25872982,0.2727493,0.25889605,0.2305041,0.19966978,0.1762804,0.16668415,0.17290114,0.18972754,0.20588984,0.21120985,0.20397343,0.19361393,0.19397388,0.21240966,0.2443346,0.27598143,0.2948282,0.2951853,0.28159973,0.25979546,0.23435575,0.20203911,0.16358463,0.12357208,0.09594517,0.090496324,0.11002812,0.14533739,0.18292506,0.21106875,0.2245732,0.22457194,0.21471362,0.19894081,0.18052757,0.16103815,0.1414982,0.12030337,0.09760699,0.07388273,0.05539846,0.0503823,0.06749624,0.10611848,0.15495878,0.19612037,0.21613948,0.21196981,0.19061573,0.16461058,0.1482868,0.15118754,0.17358412,0.20415635,0.23040193,0.24628223,0.25533316,0.26262572,0.27009642,0.27915895,0.293162,0.31729838,0.34960273,0.37914893,0.38714734,0.36073434,0.3003292,0.22346468,0.15188585,0.104868926,0.09392942,0.12507212,0.19193058,0.2713858,0.33097482,0.34689355,0.3171431,0.2568041,0.18556808,0.11938449,0.06828257,0.036622293,0.021915793,0.01866016,0.022714853,0.03594445,0.06159566,0.10017693,0.14275934,0.1779105,0.19588995,0.19923164,0.19552307,0.1947449,0.19731848,0.20015888,0.19648015,0.18581706,0.16878927,0.14958817,0.13088124,0.11869062,0.11685913,0.12408856,0.13080905,0.129742,0.12600379,0.13491775,0.16643812,0.21285562,0.2547021,0.27718732,0.27975,0.2737648,0.26967642,0.27245793,0.27771914,0.2810057,0.2779566,0.2700179,0.25946742,0.25158548,0.2525598,0.26570892,0.28931436,0.31201294,0.32342628,0.31408644,0.2847472,0.23886018,0.18594676,0.13419491,0.09069001,0.058526367,0.039891526,0.038155634,0.053318173,0.07776145,0.09534294,0.09356036,0.07203642,0.04290763,0.019090949,0.0068636257,0.006945297,0.02023943,0.047620963,0.08305103,0.111981034,0.119374186,0.10472309,0.08355108,0.07732972,0.0936997,0.12218013,0.14057492,0.13470776,0.10624804,0.071612716,0.045662984,0.033583615,0.030595846,0.033607442,0.04599751,0.07134235,0.10441054,0.13032609,0.14136921,0.14391053,0.15505052,0.18003523,0.20968604,0.22636223,0.22418584,0.20682637,0.18280256,0.15383282,0.1228053,0.098553896,0.09887902,0.1331271,0.19329011,0.25237092,0.28874224,0.29582128,0.287099,0.27506208,0.2654067,0.25086334,0.22373664,0.18122065,0.13126764,0.08593441,0.054942194,0.042194646,0.050673593,0.08417175,0.14110684,0.20834978,0.26360032,0.2930201,0.29535377,0.284315,0.26844695,0.25612092,0.24542125,0.2375731,0.22457366,0.20206726,0.16656508,0.12787516,0.099281214,0.09184098,0.10447075,0.12874295,0.15459459,0.17881991,0.20116283,0.2241898,0.24340637,0.254137,0.2490651,0.22996466,0.19950323,0.1636735,0.12473724,0.089078866,0.06301725,0.050757486,0.048178047,0.048886906,0.05166161,0.061030265,0.08231475,0.11201551,0.1426537,0.1622274,0.16451098,0.14536683,0.11284778,0.08169796,0.072894104,0.093659125,0.13357931,0.16713186,0.17834182,0.17090268,0.16246754,0.16518852,0.17632021,0.18836218,0.19454068,0.19398083,0.18288767,0.1623645,0.1358191,0.11242332,0.09724939,0.09530596,0.106814735,0.12823348,0.14488791,0.14329876,0.12051031,0.093453884,0.085710555,0.1119229,0.16711853,0.22846384,0.26912248,0.2710162,0.2377082,0.19217147,0.16246241,0.16174386,0.17983042,0.19581743,0.19497184,0.17624535,0.14596413,0.11201618,0.08368697,0.07091694,0.07700919,0.0945788,0.10989443,0.11696184,0.12141377,0.13381796,0.15541096,0.17411776,0.17360516,0.14740123,0.10642252,0.071522266,0.06076886,0.07618109,0.1062692,0.13448162,0.1560712,0.17737484,0.20862521,0.24742496,0.27888766,0.28335822,0.2521812,0.19332998,0.12850682,0.0781145,0.051046673,0.041525293,0.042042423,0.05019973,0.07311735,0.11362127,0.16684955,0.21593161,0.24767144,0.25687814,0.25010148,0.23614496,0.22238131,0.21344537,0.20925839,0.2048605,0.19241287,0.16894948,0.13931684,0.11107089,0.09044019,0.08141633,0.08972695,0.11720512,0.15706867,0.1939464,0.21685648,0.22608691,0.22946306,0.23154365,0.23106615,0.2265545,0.21816711,0.20539974,0.18577094,0.1599307,0.1338384,0.113333166,0.10069681,0.09795802,0.11354542,0.15372048,0.21149822,0.2617318,0.2837737,0.27529952,0.2557065,0.23911516,0.22646092,0.20496412,0.1698876,0.12647806,0.09106327,0.07857246,0.099117674,0.14799376,0.20649838,0.24868391,0.26047447,0.2477174,0.23117109,0.22730935,0.23622954,0.24153422,0.22445685,0.18009384,0.12205855,0.074306615,0.053838786,0.06211104,0.08448056,0.10198703,0.10331997,0.09315279,0.08491522,0.089722335,0.10829482,0.1366015,0.17034952,0.2050684,0.23309772,0.24481626,0.23545521,0.20739007,0.17046982,0.13750584,0.12131072,0.12903869,0.15751468,0.19216973,0.21548222,0.21865666,0.20799904,0.19602926,0.1902941,0.18582691,0.17432187,0.1509228,0.12215084,0.09670351,0.08085078,0.07134079,0.0657857,0.067775555,0.087076016,0.12512009,0.16948386,0.20120066,0.21181385,0.20564026,0.1935475,0.1806833,0.17043467,0.16213961,0.15460551,0.1406162,0.11755363,0.09132966,0.079513706,0.098615944,0.15215865,0.22452728,0.28734553,0.31875327,0.31401846,0.28891358,0.26170704,0.24616511,0.24281223,0.24609987,0.24330278,0.22430646,0.18592457,0.13908702,0.098156124,0.07366894,0.06510228,0.071903855,0.09300343,0.12433783,0.15004684,0.1528313,0.12824993,0.08931389,0.05550307,0.039069977,0.04480211,0.071970396,0.11341575,0.1520283,0.16742867,0.1515461,0.114581615,0.07880529,0.062789835,0.076176815,0.116642036,0.17040664,0.2129022,0.22273476,0.19867139,0.16427602,0.14682157,0.15342575,0.1653278,0.16011132,0.13215397,0.09635196,0.07271404,0.07250005,0.09334732,0.12386995,0.1513953,0.16956061,0.17892449,0.18225984,0.17889751,0.16533242,0.14181712,0.11380139,0.09086188,0.07656962,0.07054499,0.0699152,0.0809739,0.11014688,0.15581155,0.19630569,0.2072106,0.17846395,0.1264084,0.07725413,0.050159585,0.046998262,0.058115065,0.07027014,0.07418614,0.07052094,0.06985434,0.08601809,0.12382785,0.17624132,0.22984266,0.2764936,0.3133488,0.3380094,0.34184468,0.3173991,0.26830426,0.21119218,0.1638983,0.13101913,0.10640807,0.084524475,0.07117819,0.07821452,0.10931305,0.15575594,0.19757129,0.22323395,0.22835296,0.22269283,0.21236701,0.20564993,0.20462792,0.21243058,0.22723217,0.2414545,0.24421023,0.22553188,0.18782474,0.14260957,0.10676455,0.0909706,0.09793196,0.124507844,0.1628081,0.20237292,0.22830509,0.2292154,0.20186813,0.15808553,0.1183626,0.10385331,0.124441944,0.17415781,0.23263194,0.27631027,0.29313055,0.28786197,0.27363154,0.2561685,0.23119126,0.19392614,0.15163459,0.11855844,0.10510831,0.10837531,0.12180593,0.14143528,0.16836488,0.19917679,0.22480805,0.2364431,0.22952671,0.20664842,0.17099126,0.1334677,0.10707598,0.108259775,0.13857032,0.18751638,0.23436977,0.26871133,0.28845707,0.29630253,0.28951192,0.26886368,0.24374326,0.22775777,0.2238519,0.2209152,0.2063223,0.17734967,0.14344086,0.115402184,0.10303059,0.10922986,0.13249741,0.16268909,0.18963099,0.20652096,0.21407312,0.21274447,0.2007919,0.17594206,0.14363588,0.11552853,0.10169657,0.102296025,0.11078391,0.123533905,0.14191294,0.16749382,0.19354159,0.21156353,0.21637304,0.21421206,0.21379894,0.22211623,0.23530121,0.24254279,0.23184605,0.20024168,0.15722403,0.11832843,0.097096205,0.09938702,0.12319654,0.15740824,0.18349566,0.18568264,0.16411477,0.13502263,0.11628782,0.11017916,0.10671452,0.096609175,0.08401767,0.08180321,0.099265315,0.13355726,0.17021464,0.19507806,0.20212235,0.19505046,0.18049257,0.16216767,0.14419305,0.13215655,0.13465726,0.15397538,0.18395823,0.21106946,0.22619516,0.23034014,0.23297404,0.23831548,0.24039514,0.22724964,0.1970393,0.16091238,0.13525276,0.1271768,0.13111223,0.13621615,0.13493943,0.12904333,0.1279062,0.14418282,0.18287478,0.2358224,0.28372344,0.31208205,0.31799138,0.31244245,0.30506697,0.30302122,0.3060834,0.31345165,0.31941065,0.3145773,0.29093477,0.2490589,0.20308445,0.16889411,0.155125,0.15548863,0.15921573,0.16004293,0.16342007,0.17881088,0.21161689,0.25379434,0.29027584,0.30423597,0.29047295,0.2527462,0.20458071,0.15850396,0.1256012,0.11160299,0.11822335,0.14175385,0.17259346,0.20178227,0.2240771,0.24271075,0.26011,0.27593935,0.28561768,0.28702626,0.2816347,0.26906466,0.24756713,0.21492296,0.17739244,0.14379169,0.12082156,0.10703357,0.099109106,0.0986264,0.111592434,0.14236672,0.18565601,0.2292457,0.25919583,0.2680478,0.2542874,0.22236997,0.1795907,0.13977079,0.119392484,0.13320448,0.17884314,0.23606326,0.27316812,0.27208722,0.2354107,0.18369037,0.13603684,0.10733216,0.108655475,0.14605759,0.20915043,0.26773822,0.29129744,0.27045175,0.2228901,0.17335193,0.13754039,0.12080362,0.12504584,0.14992692,0.18581086,0.21688525,0.22979681,0.22301249,0.20462014,0.18348467,0.16591412,0.15281944,0.14624436,0.14741792,0.16110198,0.18485351,0.20875601,0.21352749,0.19097973,0.14867286,0.11056793,0.09454272,0.108753376,0.14599212,0.19488566,0.23850484,0.26566863,0.2719613,0.2623394,0.242347,0.21479648,0.18251169,0.1520955,0.13471316,0.13873172,0.16425182,0.2007481,0.23290734,0.25066546,0.25474226,0.2546798,0.25806567,0.26651934,0.27403268,0.27327174,0.25706747,0.22422554,0.1806653,0.1378621,0.10613247,0.08997836,0.08782572,0.09340023,0.09749293,0.093539976,0.08310634,0.07780763,0.08751467,0.11147616,0.13402694,0.14027046,0.12484638,0.09777673,0.072438836,0.059936732,0.06478309,0.0848363,0.11167822,0.13211526,0.1413834,0.14594802,0.16051686,0.18846999,0.22013648,0.24027352,0.24518703,0.24122311,0.23559888,0.22876334,0.22007436,0.21570413,0.22346024,0.24425454,0.266212,0.2788132,0.27881148,0.27429664,0.2708081,0.27037755,0.2663177,0.25268504,0.22582167,0.1930973,0.16418134,0.14609033,0.13714325,0.13753466,0.15151119,0.17989558,0.21051185,0.22355427,0.21147756,0.1845087,0.16167249,0.15484649,0.16551869,0.19093293,0.22374356,0.25523996,0.2719696,0.26728824,0.24080205,0.20460159,0.17391981,0.16392525,0.17937845,0.2146707,0.25699827,0.29394707,0.31721106,0.32054546,0.30181882,0.26639736,0.22892308,0.20373546,0.1934734,0.19079332,0.18780531,0.1869031,0.19411932,0.21207857,0.23404269,0.25078666,0.25810668,0.26024973,0.26470438,0.27390906,0.28088427,0.2763543,0.2559869,0.2278709,0.20275456,0.18969835,0.18630302,0.18780194,0.18655299,0.18232305,0.17657703,0.17666967,0.18455571,0.19793968,0.20592172,0.20073475,0.18146843,0.15813786,0.14187492,0.13686603,0.13630788,0.13093026,0.11885178,0.106765814,0.10103837,0.09949946,0.095738865,0.087846,0.08459403,0.09577242,0.12293603,0.1534716,0.17092633,0.16547143,0.14063811,0.111553766,0.096955724,0.110072434,0.14702539,0.18907936,0.21394591,0.21381222,0.19543163,0.17090426,0.14607196,0.12459534,0.11375165,0.12340359,0.15422915,0.19167365,0.21417022,0.20962633,0.18429418,0.15720592,0.14837432,0.16515857,0.20060425,0.23371045,0.2474577,0.23479898,0.20669353,0.17780606,0.16105099,0.158718,0.16758984,0.18164702,0.19728833,0.2096249,0.21324347,0.2033617,0.1864667,0.17483233,0.17769875,0.18804805,0.19338308,0.18833272,0.1808543,0.17925467,0.18158962,0.1784104,0.16294448,0.13993786,0.12054792,0.1165271,0.13032568,0.15588863,0.18100856,0.1947834,0.19188143,0.17271684,0.14333703,0.10993131,0.0787993,0.05242768,0.03301541,0.021090418,0.017319882,0.020997534,0.029392274,0.038316038,0.042647604,0.04087269,0.0345591,0.02858975,0.026508339,0.029806083,0.03669155,0.043041635,0.045621585,0.047106493,0.0594859,0.09770119,0.16390999,0.24026556,0.29605272,0.31431702,0.29920816,0.27196786,0.24668343,0.22874093,0.21474409,0.20513846,0.20082198,0.20460695,0.21461089,0.22647546,0.23328362,0.23236053,0.22497392,0.21422927,0.20015685,0.18045987,0.15450613,0.124938466,0.097361125,0.07665827,0.064640135,0.059920732,0.058051746,0.056748915,0.054287612,0.052476197,0.052035466,0.055928495,0.06645439,0.084173106,0.10334125,0.113803685,0.10881113,0.09147381,0.073514424,0.0667114,0.07439238,0.09097766,0.10543397,0.11125904,0.1088329,0.10373134,0.09932607,0.0968667,0.10176233,0.12151188,0.15720399,0.19420858,0.21360008,0.2079766,0.18768339,0.16811825,0.15453275,0.14140297,0.12307482,0.105142795,0.10060216,0.11805896,0.15184106,0.18693931,0.21088624,0.22095074,0.22141623,0.21648175,0.20858169,0.19966589,0.19416405,0.19629407,0.20759197,0.22255044,0.23248005,0.22940977,0.21429485,0.19443096,0.17929268,0.17094846,0.16570622,0.15870272,0.15127055,0.14733103,0.14733793,0.14525019,0.13434063,0.11415435,0.08951285,0.066936344,0.049042925,0.037853245,0.032926608,0.034367844,0.03842817,0.042669162,0.044030502,0.043535475,0.04230784,0.04381758,0.048887353,0.055711795,0.058442593,0.05336684,0.042239655,0.032572716,0.03144633,0.04194468,0.06276575,0.08945299,0.11669642,0.13692616,0.14682561,0.14417894,0.13330355,0.116207756,0.09814257,0.082043715,0.07317436,0.07216432,0.0767793,0.08180114,0.08665544,0.0936017,0.10354271,0.11027395,0.10749105,0.09909558,0.09762458,0.1143501,0.14394398,0.1745078,0.19354133,0.20439674,0.21246521,0.224316,0.23346375,0.23341687,0.21895319,0.1979199,0.18192612,0.18268721,0.19824773,0.21829975,0.22625715,0.21798575,0.19611228,0.17176932,0.15040582,0.14231524,0.15943511,0.20807433,0.2742097,0.324662,0.3354824,0.3061576,0.26110813,0.2236383,0.20561528,0.20450471,0.21067207,0.2135797,0.20558417,0.1860751,0.15937233,0.13210885,0.10927478,0.096431226,0.09950614,0.12688924,0.17464215,0.22700779,0.25364208,0.24125816,0.19542295,0.14427286,0.10677459,0.08945779,0.084065534,0.08328845,0.083880365,0.085996546,0.090261735,0.09573848,0.10174055,0.109066285,0.12199607,0.14859922,0.19156809,0.24099927,0.27212915,0.26579773,0.22335492,0.16768964,0.12282752,0.099423796,0.097398765,0.11236759,0.14096536,0.17450978,0.20684873,0.23678331,0.2734842,0.31749693,0.35796762,0.37342134,0.36015657,0.3280172,0.29658893,0.26837248,0.24262023,0.21532206,0.1944532,0.18585803,0.1985129,0.23731017,0.29889688,0.3630354,0.39547804,0.37612984,0.30882967,0.225837,0.15611549,0.11607352,0.100726075,0.097940505,0.09702011,0.09332625,0.09224186,0.102304965,0.1356305,0.18858433,0.24495976,0.27572513,0.27106223,0.24016154,0.20975637,0.19466586,0.19617085,0.2031613,0.20622505,0.20278198,0.19773571,0.19818647,0.2034673,0.20617248,0.20096421,0.19956672,0.21721964,0.25842905,0.2979541,0.3122635,0.29260907,0.26311016,0.24393106,0.24373549,0.24758363,0.2435673,0.22846578,0.21410309,0.2120801,0.22450662,0.2401224,0.24473853,0.23324664,0.21311487,0.1958171,0.18748848,0.18658894,0.19063318,0.20133643,0.22218399,0.25265235,0.28299633,0.3025283,0.3032877,0.28784892,0.2609904,0.23289634,0.21114664,0.20568226,0.21613161,0.23832504,0.25587213,0.2581441,0.23555653,0.19603376,0.15091507,0.11624453,0.0965362,0.089330636,0.08718417,0.085184164,0.082384326,0.07943677,0.0770289,0.07470915,0.07151886,0.06768205,0.06335487,0.059677508,0.055536192,0.05019689,0.0422311,0.033036705,0.024768239,0.020119173,0.021070397,0.029923657,0.051066715,0.08787101,0.14042306,0.20150936,0.25883642,0.2987487,0.31098256,0.2954785,0.2606391,0.22330852,0.19548517,0.18459208,0.18541582,0.19218726,0.19613391,0.19831108,0.20011659,0.20644186,0.21477704,0.22239612,0.22540025,0.2249025,0.2230513,0.22409452,0.2292886,0.23903506,0.24885075,0.25565037,0.25522628,0.24810302,0.23463051,0.21794604,0.198595,0.17798014,0.15668783,0.13860148,0.12671909,0.122514404,0.12309071,0.12388813,0.12090754,0.1121225,0.099291645,0.085692115,0.07605958,0.07180431,0.07186914,0.07221512,0.0701044,0.06511904,0.059311364,0.05547643,0.055155024,0.058806974,0.06629381,0.07852492,0.09942713,0.13044946,0.17189102,0.2152654,0.2576784,0.2915433,0.31571737,0.31944737,0.30324343,0.2713284,0.24067986,0.22052519,0.21566941,0.22216238,0.23756151,0.25599527,0.27370477,0.28350684,0.28239313,0.26746926,0.2455191,0.22885507,0.22946529,0.24680541,0.26429185,0.26572707,0.24582155,0.21768291,0.19641294,0.1906084,0.19610643,0.20447935,0.20906036,0.20947713,0.20759292,0.20581342,0.20382689,0.2048402,0.2112347,0.22469674,0.23712651,0.2414602,0.23424186,0.22310103,0.21402805,0.21072936,0.21192245,0.21994466,0.23519282,0.25448185,0.2666726,0.26456138,0.24892454,0.23124348,0.22132467,0.22287327,0.23031978,0.23415811,0.22476022,0.19761461,0.15754604,0.11730086,0.09410181,0.098573744,0.13217689,0.18167399,0.23067153,0.26219854,0.2728258,0.26657996,0.2569144,0.25134742,0.25229922,0.25268987,0.2480185,0.23724031,0.22583006,0.21833795,0.21714441,0.22069849,0.22470067,0.22356544,0.2123688,0.19055492,0.1616862,0.13137455,0.104235165,0.08185709,0.0651026,0.053107962,0.047168095,0.046532154,0.051691193,0.058980454,0.06640881,0.07005989,0.069826305,0.06501383,0.05789033,0.050576493,0.04606761,0.04579003,0.048778255,0.05328849,0.05752514,0.06220448,0.06806922,0.07564521,0.08318498,0.088648885,0.09053251,0.08913767,0.0857368,0.08190569,0.08000494,0.08436307,0.10094378,0.13247211,0.17490064,0.21781123,0.25380763,0.28063467,0.3013495,0.3157561,0.32423806,0.3277658,0.32900035,0.3266109,0.31518865,0.2929596,0.26592097,0.24748872,0.24591756,0.25774607,0.26791307,0.26366624,0.24520905,0.22699685,0.22453398,0.24196179,0.27048138,0.29670182,0.31372723,0.31799042,0.30860636,0.28297153,0.24693859,0.2121649,0.19120337,0.18644333,0.19005501,0.1942392,0.19547297,0.19720279,0.19917445,0.20260169,0.2081631,0.22284733,0.24707337,0.27413693,0.2898878,0.28796682,0.27196768,0.2541811,0.24389978,0.24602818,0.2559239,0.2660197,0.2662784,0.254908,0.2353282,0.21552874,0.19859111,0.18375705,0.16585432,0.14201365,0.1117706,0.08101155,0.056624968,0.044341195,0.04291354,0.04611184,0.047221392,0.043247968,0.036602076,0.030563608,0.027279025,0.026212225,0.026546342,0.028071014,0.030256912,0.032021888,0.032118544,0.032006815,0.03418821,0.0406844,0.04874703,0.05427474,0.053461324,0.04788399,0.040919892,0.03624825,0.034663603,0.03604217,0.04062802,0.04769604,0.0552997,0.06020981,0.061408967,0.059913695,0.056938916,0.054642897,0.055755895,0.06686056,0.0907618,0.12547402,0.15934706,0.17935853,0.17743324,0.15779077,0.13731739,0.13266332,0.15112574,0.18014318,0.20368123,0.21031106,0.20646816,0.20320576,0.21112776,0.23133986,0.25846323,0.28279236,0.2939924,0.28793457,0.26686078,0.23877595,0.21062513,0.18773769,0.17433739,0.1733161,0.18542941,0.20689024,0.23280875,0.25744733,0.27580905,0.2829441,0.27511093,0.25390816,0.22487302,0.19879504,0.18350203,0.18331061,0.19321801,0.20459002,0.20866333,0.20257807,0.18852232,0.16961043,0.14883941,0.12783043,0.11007904,0.097326815,0.09087678,0.08839182,0.08780762,0.0862205,0.083741434,0.08161416,0.082051285,0.08441002,0.08562067,0.082769535,0.076148994,0.069766395,0.06737554,0.06996655,0.07463831,0.07780531,0.07765413,0.07530304,0.07298253,0.0719674,0.071493946,0.07047477,0.06861333,0.067632675,0.0688287,0.07243502,0.07611485,0.077499054,0.0755033,0.07211567,0.07023969,0.071280174,0.07372636,0.07510415,0.074599095,0.073016874,0.07138836,0.06948199,0.0675231,0.06662619,0.068559535,0.073169485,0.07833138,0.08131521,0.08133253,0.07960913,0.07798251,0.07698753,0.076126926,0.07602557,0.080240905,0.09541994,0.12572326,0.16817467,0.21105929,0.24250002,0.2598348,0.26922485,0.27767977,0.2824944,0.27683714,0.25683543,0.22771455,0.19859362,0.17386423,0.15492867,0.14078383,0.13929847,0.15616411,0.19365682,0.23597331,0.26727578,0.27548575,0.26880345,0.25711527,0.24977319,0.24348843,0.23582329,0.22593129,0.21767081,0.21270198,0.20959924,0.20579618,0.19989334,0.19106553,0.17935015,0.16526127,0.15136719,0.13934821,0.12890127,0.119367845,0.11042434,0.10579196,0.10663214,0.11350288,0.12047851,0.123454385,0.11920377,0.11080215,0.10208548,0.09691646,0.09578081,0.09741345,0.09964969,0.102009684,0.10643017,0.116759,0.13580984,0.16215612,0.19019353,0.21267778,0.22595865,0.23052894,0.22923239,0.22549927,0.22155805,0.22101732,0.22341143,0.22745119,0.22660716,0.21723606,0.19674294,0.16939445,0.1417753,0.12067738,0.10731272,0.09834538,0.09034929,0.08374328,0.08126662,0.083179615,0.08564335,0.084212445,0.07843921,0.07213575,0.06931734,0.070703834,0.07312747,0.072761975,0.06689731,0.056403954,0.044240925,0.035144996,0.03273562,0.039035376,0.053369433,0.07234272,0.090797745,0.10356835,0.10841626,0.10619884,0.10073038,0.096784174,0.09980652,0.11409543,0.14026867,0.1739709,0.20691961,0.2341991,0.25615695,0.27713063,0.2965089,0.30776086,0.30482495,0.28917518,0.27059874,0.25798598,0.2560999,0.26325956,0.27508903,0.28328815,0.2800313,0.26294887,0.2404893,0.22869284,0.23862278,0.26742604,0.2963736,0.3074838,0.29371032,0.26541263,0.2382446,0.22785169,0.23935966,0.26775554,0.29487833,0.3045385,0.29251963,0.27230987,0.26026377,0.26221535,0.27101347,0.2762759,0.27362552,0.2653701,0.2547546,0.24380672,0.23134647,0.21669833,0.19826992,0.17710371,0.15490328,0.1355479,0.12099423,0.111747526,0.10550744,0.100410275,0.09540268,0.091542624,0.09036452,0.093291335,0.09977124,0.10802287,0.11498412,0.11890558,0.118277885,0.11384058,0.10725731,0.10264945,0.10222227,0.10558198,0.108187705,0.10647616,0.099024184,0.08843086,0.07851302,0.07344679,0.07570562,0.08436952,0.09598413,0.10661741,0.11798205,0.13605666,0.16806023,0.21244715,0.26102644,0.30171666,0.33052334,0.34920335,0.36244622,0.36995912,0.36707926,0.35526797,0.3395795,0.3315859,0.32884857,0.32636717,0.3123933,0.2897084,0.26491565,0.25016296,0.24818444,0.25517496,0.26222324,0.26225922,0.25384638,0.23739171,0.2198165,0.2081099,0.21428508,0.23666112,0.26657063,0.28301123,0.27969575,0.25896558,0.23809,0.22495271,0.22331174,0.22500299,0.22504713,0.21805508,0.20702285,0.19606793,0.19081463,0.1902201,0.1903267,0.18691535,0.18209797,0.18077874,0.18711583,0.19951884,0.21407302,0.22749704,0.23836608,0.2462769,0.2492928,0.24831505,0.2442581,0.23976761,0.23258406,0.21900594,0.19572832,0.16456945,0.13266726,0.106541805,0.09049038,0.084500365,0.09126747,0.11407018,0.1553182,0.20882958,0.26436976,0.30944812,0.33686206,0.34190074,0.3260443,0.2950833,0.2575889,0.22092386,0.18700564,0.1591492,0.14129137,0.14206775,0.1620758,0.19645403,0.23379906,0.2688719,0.29659083,0.31169966,0.30604792,0.28064182,0.24572931,0.21321414,0.18649428,0.16232021,0.14103405,0.1280161,0.13009,0.14563751,0.16692312,0.18124841,0.18263121,0.17245917,0.16474038,0.17169236,0.19921678,0.23622279,0.26768166,0.28069666,0.2752565,0.25871614,0.2411354,0.22910571,0.22449702,0.22563994,0.2284982,0.22910315,0.22572939,0.22058505,0.21772563,0.22009838,0.2283715,0.24001499,0.2517511,0.25812948,0.2593886,0.25554332,0.24791937,0.23142324,0.2074995,0.18449895,0.17590372,0.18443465,0.20166133,0.21385239,0.21343459,0.19938783,0.17790043,0.15832426,0.15215988,0.16658886,0.20186937,0.24719512,0.28637764,0.3050436,0.30463457,0.29721543,0.29664138,0.3017059,0.30515227,0.301498,0.29515758,0.2887032,0.2778215,0.255945,0.2239049,0.1934404,0.17674421,0.18119264,0.20271643,0.23156321,0.25274888,0.2564951,0.23876144,0.20637065,0.16924675,0.13820069,0.11694393,0.10319654,0.0925977,0.08332944,0.07821673,0.08008146,0.09350332,0.121376894,0.16327292,0.20825477,0.24164025,0.25315955,0.24567492,0.2267341,0.20308542,0.17597526,0.1473931,0.12021489,0.0989095,0.086583085,0.08536974,0.09579521,0.11605006,0.1408372,0.161063,0.16852933,0.1605196,0.14379762,0.1281401,0.12052482,0.11859366,0.11734133,0.11358174,0.1127715,0.12076775,0.1394695,0.16038723,0.17432477,0.17684197,0.17311013,0.16921644,0.1677875,0.165627,0.16037239,0.15135932,0.14173953,0.13468063,0.13553844,0.14754358,0.17124592,0.20068173,0.22850724,0.24874477,0.25892767,0.25646862,0.23823702,0.20551758,0.16736501,0.13898939,0.13137431,0.1454614,0.17204617,0.19908912,0.21844083,0.2276938,0.2286896,0.22630389,0.22668134,0.23615803,0.25270888,0.26831508,0.2704455,0.2567515,0.23199701,0.20832922,0.19200005,0.18674468,0.18977158,0.1990834,0.20817925,0.21193923,0.2048295,0.18846083,0.16863047,0.1568109,0.1625129,0.18936469,0.22777736,0.26007178,0.27079412,0.25931552,0.23807228,0.22126637,0.21455635,0.21638317,0.2244836,0.23735297,0.24979524,0.2510334,0.23190816,0.19273461,0.147056,0.11200019,0.09997735,0.111415915,0.1416726,0.18382204,0.23158528,0.27247655,0.29457834,0.29094854,0.27184352,0.25093544,0.24073581,0.23630722,0.23010407,0.21376806,0.19338639,0.18057041,0.18665232,0.21116947,0.24111669,0.26369333,0.27333394,0.27578712,0.27723357,0.27946827,0.28168142,0.28181195,0.28214633,0.28115872,0.27796504,0.2675541,0.25024563,0.22793502,0.20714706,0.19198488,0.18642198,0.18887275,0.19677506,0.20311679,0.20551644,0.20100416,0.19223315,0.17826228,0.16288918,0.14790161,0.14142525,0.14682949,0.16557747,0.18906324,0.20970613,0.22218221,0.22765432,0.22619438,0.2159514,0.1974157,0.17723359,0.16850613,0.1792938,0.20986213,0.2459203,0.2710046,0.2695543,0.24390276,0.20817137,0.18372522,0.17785679,0.18206875,0.18124647,0.17200881,0.16676186,0.17946787,0.21079855,0.24543844,0.26483712,0.26208165,0.24456872,0.2295873,0.22729969,0.23627841,0.23972201,0.22347595,0.18381584,0.13570246,0.09730498,0.07888687,0.07384505,0.069065146,0.05615689,0.038653944,0.027410483,0.03332154,0.05965959,0.10013181,0.13946263,0.16372347,0.16669464,0.15549833,0.14195056,0.13614064,0.1390066,0.1456566,0.15299396,0.16413878,0.18605912,0.21785879,0.25013545,0.2701541,0.2737435,0.26460803,0.2488992,0.2284012,0.2013077,0.1682526,0.13528746,0.11292385,0.10547111,0.10910503,0.11403606,0.11950163,0.13240731,0.16022967,0.19630164,0.22703542,0.24396902,0.25050044,0.25156572,0.2440935,0.22303766,0.19002311,0.15745182,0.1391464,0.1451609,0.17687684,0.22443588,0.26939046,0.2937805,0.2941562,0.2794323,0.26069355,0.24045701,0.21683323,0.1916682,0.17150317,0.16222765,0.16677906,0.1849398,0.21551532,0.24877544,0.2723497,0.27335498,0.25190082,0.21614553,0.17858018,0.1479701,0.12832303,0.12188608,0.12758629,0.14372009,0.16636072,0.19185048,0.21329188,0.22180478,0.2103262,0.1816885,0.14852312,0.12747422,0.1304503,0.1596964,0.2079397,0.25883198,0.29475483,0.30328596,0.28663778,0.2581679,0.23322769,0.21683513,0.20578803,0.1979714,0.20102642,0.21978861,0.24815397,0.2656472,0.2622867,0.24297531,0.22626477,0.21914701,0.21716355,0.20824784,0.18887657,0.16252989,0.13776284,0.12079722,0.11700208,0.12845343,0.15430735,0.18552725,0.20843737,0.21007945,0.18990256,0.16004868,0.13845551,0.13599104,0.15093267,0.17230643,0.18739842,0.18991725,0.18339072,0.17914009,0.1875633,0.21029152,0.23728569,0.25621358,0.25636026,0.23800832,0.20520847,0.1721652,0.1507259,0.15140885,0.16968012,0.19518471,0.21468513,0.22437191,0.22528787,0.22194676,0.21698742,0.21379626,0.21436046,0.2181672,0.22011931,0.21436411,0.1976862,0.17071836,0.13592303,0.09724936,0.06031399,0.031366166,0.014218085,0.010262083,0.021807624,0.053244248,0.10544765,0.16802429,0.22073586,0.2463286,0.24207981,0.22053836,0.19869463,0.19059487,0.20299517,0.23301518,0.2677846,0.2895583,0.29110608,0.2771161,0.26099247,0.24577159,0.22803675,0.20143968,0.17374152,0.15919268,0.16831814,0.19300948,0.21297957,0.21326546,0.19570321,0.17664206,0.17015362,0.180772,0.20059049,0.2204076,0.23368119,0.2426972,0.24884473,0.2535429,0.25193942,0.24444003,0.23054612,0.21279006,0.18771462,0.15386732,0.11463768,0.08329075,0.076117605,0.099844456,0.14442335,0.18648589,0.20685966,0.20045413,0.17635125,0.14464995,0.11358877,0.09057098,0.08667427,0.10745717,0.1461754,0.18386911,0.20173462,0.19177599,0.15929647,0.12010134,0.09346015,0.09247339,0.11658043,0.14988321,0.17670892,0.18863964,0.1914397,0.19045262,0.19051284,0.1915539,0.19642802,0.20692937,0.22277085,0.23879798,0.24916486,0.25007257,0.24313752,0.23252036,0.2241187,0.21968625,0.21879382,0.21971618,0.22504829,0.23767805,0.2546281,0.26582542,0.26143718,0.2434211,0.22139956,0.2066276,0.2016785,0.20665334,0.21912707,0.23895212,0.26262724,0.28632036,0.3035662,0.308977,0.299309,0.2759117,0.24507444,0.21365379,0.19011293,0.18035586,0.18757652,0.20465678,0.21981002,0.223258,0.2187339,0.21669672,0.2270934,0.24593912,0.2629197,0.26625475,0.25788343,0.24787356,0.2467504,0.2530479,0.25475904,0.24416971,0.22277491,0.20350878,0.19406758,0.1979085,0.20853494,0.22030292,0.2250318,0.22193898,0.21246935,0.20450456,0.20047458,0.20093256,0.20189662,0.20356093,0.20783675,0.21729904,0.23125947,0.244667,0.25149003,0.24775542,0.23588322,0.22212546,0.21056086,0.20087872,0.18985571,0.18052447,0.18040456,0.19747208,0.22922993,0.26165116,0.2765131,0.26234153,0.22378981,0.17796735,0.14671849,0.1427183,0.16445686,0.19841295,0.22960259,0.24893527,0.25490233,0.24991626,0.23824912,0.22239159,0.2024134,0.17742169,0.15240943,0.13969333,0.14829035,0.1737309,0.19498038,0.19456346,0.17022282,0.14315686,0.13591416,0.15769918,0.19133796,0.21195252,0.20678507,0.18931241,0.18273823,0.2002125,0.22984453,0.25278273,0.25493622,0.24417979,0.231584,0.22809692,0.22862315,0.2276718,0.22011776,0.21122594,0.20612453,0.2090831,0.21789281,0.22928078,0.23837025,0.24602914,0.25530568,0.27173612,0.2904611,0.302148,0.29595456,0.27483648,0.24850881,0.2280943,0.21566498,0.20971514,0.21032588,0.22183108,0.24606371,0.27622926,0.29852661,0.3016763,0.28618374,0.26207474,0.24044792,0.22257139,0.20151593,0.16980141,0.1310504,0.100948565,0.095994614,0.11824485,0.14912127,0.16312443,0.14653356,0.108712055,0.07272566,0.06116423,0.08284541,0.13343833,0.1956567,0.2509278,0.282967,0.29012772,0.27621868,0.25026527,0.21635514,0.18411703,0.16643973,0.17500715,0.20544231,0.23917155,0.2582464,0.2612696,0.25766775,0.25618005,0.25342003,0.24613516,0.2336966,0.22381955,0.22060037,0.22710331,0.24311544,0.2678694,0.29517323,0.3132148,0.3116792,0.28785345,0.24921471,0.20630692,0.17084174,0.15252012,0.1564991,0.1778931,0.20504928,0.23016433,0.25433257,0.279572,0.29840577,0.29832196,0.2782677,0.25200263,0.23547761,0.22652642,0.21082902,0.17603911,0.12777053,0.08180109,0.055046838,0.05778675,0.09204197,0.1491131,0.2083505,0.24756515,0.25652608,0.24349295,0.22588496,0.21522705,0.21307988,0.21485825,0.21788739,0.22203879,0.22798727,0.23752911,0.24923861,0.2622477,0.27118382,0.27486798,0.27029094,0.25755218,0.23630162,0.21241182,0.19484895,0.19050646,0.19886349,0.21490364,0.23332186,0.24987201,0.25909007,0.2604293,0.25929847,0.2657136,0.27952424,0.29170528,0.28994554,0.27376935,0.2517468,0.23357093,0.22146444,0.21180506,0.20487934,0.20551617,0.2188796,0.24043532,0.25951338,0.2686044,0.26763177,0.26095212,0.24926364,0.23434831,0.21983427,0.2134797,0.21895958,0.2362566,0.26004937,0.28357625,0.29713717,0.29588804,0.2830998,0.27359304,0.27815858,0.2946227,0.3048911,0.29520342,0.26940078,0.2473162,0.24519856,0.25887585,0.27032346,0.2629633,0.23947,0.21414797,0.2026686,0.2063597,0.21716368,0.22392535,0.22414856,0.22100647,0.21848704,0.21578474,0.21181141,0.20952623,0.21504016,0.23147003,0.25626758,0.28458413,0.3111752,0.33105528,0.3362347,0.32302663,0.29406038,0.26476982,0.2513096,0.26358846,0.29348183,0.32140005,0.3289095,0.31054378,0.2778997,0.24630404,0.2280128,0.22144246,0.21887116,0.211833,0.20245725,0.20100246,0.216101,0.24345596,0.2678326,0.27639067,0.27059492,0.26223764,0.26001313,0.26173934,0.25997815,0.25425962,0.25054416,0.25522587,0.26521578,0.27251163,0.26965627,0.25682253,0.24060982,0.23031372,0.23187844,0.24450433,0.2602912,0.270824,0.27246985,0.2715936,0.2760588,0.2881805,0.297882,0.29347613,0.27109548,0.23956104,0.21393715,0.20648456,0.22339408,0.25978434,0.30485967,0.34528163,0.37526798,0.39385164,0.4020047,0.39955068,0.38989285,0.37957856,0.37301573,0.36452428,0.34471187,0.30892393,0.2668055,0.233423,0.21994965,0.2259004,0.24245457,0.2607627,0.2740643,0.28092265,0.28102145,0.276222,0.2678502,0.25590843,0.24136291,0.22587848,0.21479088,0.21266954,0.22059761,0.23475738,0.24664967,0.25190425,0.24907808,0.24304251,0.2360364,0.2296188,0.22439654,0.22240661,0.22714965,0.23652357,0.24681167,0.25034466,0.24739027,0.24051619,0.23589416,0.2337429,0.23125505,0.22520165,0.21519744,0.20591904,0.2021426,0.20977898,0.22854233,0.25390875,0.27466628,0.2813491,0.27124712,0.24924469,0.22344643,0.195386,0.16438217,0.12784141,0.092140205,0.06649821,0.06417924,0.09121623,0.14245014,0.19775768,0.23017772,0.22420126,0.18383771,0.13454261,0.10289433,0.10571325,0.13720624,0.1792926,0.211284,0.22531222,0.22415741,0.21596675,0.20681393,0.20011054,0.19996153,0.2065934,0.21894847,0.22843964,0.23089091,0.22388099,0.21526115,0.21096183,0.21408278,0.21942256,0.22204395,0.22238563,0.22495998,0.23467581,0.24834318,0.26178914,0.26937768,0.27479455,0.28107572,0.29195312,0.30245903,0.30844828,0.30699947,0.3004154,0.29096696,0.27933607,0.26599368,0.25280014,0.24437927,0.24402118,0.25051802,0.25799885,0.2608671,0.26005402,0.2590212,0.26065013,0.2613326,0.26083568,0.25907934,0.25971505,0.259818,0.26005673,0.26100597,0.2659503,0.270808,0.27115488,0.2679211,0.26839814,0.2754139,0.27859613,0.26352167,0.22627391,0.18174423,0.15251224,0.15175821,0.17412014,0.20235164,0.22023617,0.22325675,0.21552186,0.20834093,0.20796447,0.21758707,0.22867574,0.2372315,0.24053614,0.24742424,0.25832835,0.27071604,0.27322233,0.26387352,0.2450877,0.22556728,0.20898102,0.19823098,0.19494243,0.20280556,0.21974261,0.23830537,0.2472203,0.24411623,0.23477519,0.23034322,0.23450206,0.24360128,0.24988742,0.2499119,0.24660039,0.24510123,0.24796309,0.2536271,0.2612127,0.27250215,0.28699267,0.2964137,0.2881719,0.25798243,0.21803607,0.18994033,0.18950552,0.21490557,0.25125024,0.28202847,0.29962274,0.30521324,0.30358496,0.30043206,0.29940626,0.3018341,0.30243745,0.2946249,0.27682257,0.2583687,0.2514936,0.2597774,0.27289173,0.2768094,0.26564667,0.24643368,0.23066027,0.22436823,0.22495891,0.22445367,0.22003533,0.21475048,0.2183414,0.23461477,0.2609319,0.28485355,0.2955239,0.28732517,0.26600543,0.24400409,0.23356287,0.23825802,0.24920769,0.2544971,0.24777912,0.23774017,0.23358357,0.2395124,0.24403429,0.24006028,0.22529425,0.20898639,0.19414204,0.18266942,0.17625378,0.18282007,0.20628016,0.24030443,0.2703831,0.28529656,0.28252378,0.26949087,0.25789213,0.25998875,0.27908608,0.30480388,0.31825134,0.3028824,0.258552,0.19897628,0.14892574,0.12826286,0.14372982,0.18226027,0.22137852,0.245947,0.2566158,0.26294336,0.2692956,0.27184698,0.26731792,0.2583134,0.25094795,0.24692804,0.24485725,0.2446763,0.25066194,0.2651666,0.28472653,0.29828516,0.29930612,0.28669068,0.2704736,0.25626564,0.24880667,0.24276106,0.2366628,0.2264256,0.21572943,0.20573366,0.20103078,0.19967687,0.2004149,0.19860767,0.1937108,0.1854393,0.17867513,0.17835383,0.18907635,0.2062179,0.22137906,0.22528209,0.21954016,0.20981961,0.20433503,0.20266952,0.20298868,0.20064484,0.19659692,0.19180264,0.1896957,0.1911493,0.19640505,0.20204477,0.20366119,0.19775166,0.18680751,0.1781532,0.17883325,0.1886629,0.19852121,0.1976688,0.1810069,0.15604307,0.1380595,0.14219393,0.16919911,0.20320696,0.22187006,0.21777125,0.20517556,0.20832948,0.23550163,0.27360025,0.29799613,0.29885352,0.2820526,0.26418075,0.25173944,0.24685673,0.24762641,0.259827,0.28256083,0.3109164,0.33000338,0.3337963,0.3207527,0.29880533,0.27228427,0.24680077,0.2253343,0.21241562,0.20927437,0.21551664,0.22609441,0.23654419,0.2415662,0.24286836,0.24377543,0.25154284,0.26450303,0.27628615,0.27627993,0.26571873,0.25605154,0.25992534,0.27665672,0.2907367,0.28977326,0.27312773,0.2550209,0.24530111,0.245179,0.24550009,0.24006009,0.22888142,0.21790117,0.21226637,0.21354048,0.2192204,0.22599143,0.23205166,0.24066766,0.25514355,0.2752683,0.29210582,0.29718062,0.28786787,0.27015194,0.2503402,0.23049913,0.21021466,0.19058283,0.17551135,0.16854,0.17047793,0.17987569,0.19409204,0.21048458,0.22711463,0.24281593,0.2572183,0.2678629,0.2715913,0.26667866,0.2566249,0.24791425,0.24530017,0.24980943,0.25672755,0.2602267,0.2526512,0.2351241,0.21445654,0.20335115,0.20627487,0.21962102,0.2343343,0.24367954,0.24671614,0.24518125,0.24296646,0.23948507,0.23284088,0.22071765,0.20985265,0.20983906,0.22573984,0.24848993,0.26371253,0.26586285,0.26297367,0.26607612,0.27460393,0.27704915,0.26602513,0.24540131,0.23010261,0.22625045,0.2321151,0.23552491,0.23399363,0.2315412,0.23732142,0.25101438,0.26459497,0.27120164,0.2717036,0.27283224,0.27635744,0.2783349,0.27311587,0.26281407,0.25346527,0.25036907,0.2497425,0.24688457,0.2390935,0.23039567,0.22359054,0.21868385,0.21230789,0.20309125,0.1926441,0.18577065,0.18629523,0.19707088,0.21780707,0.24350147,0.26328,0.2644979,0.24432315,0.21358965,0.19117482,0.18933024,0.2064598,0.23245025,0.25673696,0.27452916,0.2838371,0.28676116,0.28661808,0.28862357,0.29145744,0.29082668,0.28165004,0.2693018,0.26232615,0.26490474,0.26751986,0.2570614,0.2300253,0.19859336,0.18042572,0.18312119,0.200292,0.21892373,0.2315345,0.23671727,0.23499835,0.22466572,0.20582046,0.18375939,0.16684105,0.16125846,0.16675073,0.17966445,0.1949653,0.21030234,0.22303188,0.23151235,0.23303936,0.2302342,0.22849894,0.23490088,0.247945,0.26137698,0.2675435,0.26695606,0.26248732,0.2583026,0.2537972,0.25037536,0.2475401,0.24641931,0.24437882,0.24217851,0.24230899,0.25021806,0.2656254,0.28180543,0.28902665,0.28260204,0.2660875,0.2460981,0.2280286,0.21175046,0.19746025,0.18686354,0.1857844,0.19585681,0.21327005,0.22853804,0.2363149,0.23775606,0.24092579,0.2530903,0.27541006,0.3009838,0.3171484,0.3156198,0.2949902,0.26471028,0.23468737,0.21379484,0.20310457,0.20022488,0.19882451,0.19421919,0.18510674,0.17540641,0.17148894,0.1774535,0.19269334,0.21098709,0.22793944,0.24334918,0.26360676,0.2903475,0.31936574,0.34098855,0.35214925,0.35622457,0.35782787,0.35421798,0.33549663,0.2958897,0.2429608,0.19869311,0.18357317,0.20195515,0.23923898,0.2759812,0.30104825,0.31409848,0.31686366,0.3095984,0.2915784,0.2669235,0.24324405,0.22827499,0.2254696,0.23177175,0.24136662,0.24787176,0.2495821,0.24749951,0.24467908,0.24259289,0.24242692,0.24555449,0.25397044,0.26599,0.27558842,0.27560425,0.26576224,0.2530128,0.24502975,0.24267726,0.2401731,0.23228179,0.21817227,0.20214157,0.18962793,0.18496723,0.18932408,0.19864069,0.20710623,0.20862408,0.20404826,0.19709234,0.19380534,0.19365956,0.19272237,0.18524303,0.17116468,0.1542576,0.1396773,0.1295855,0.123755805,0.12061578,0.11933946,0.12012103,0.12395684,0.1306836,0.13805676,0.14433284,0.1493528,0.15641047,0.1669571,0.18232493,0.20053668,0.22007461,0.23615904,0.24498309,0.24479203,0.2388591,0.23231645,0.228765,0.23043449,0.23728819,0.24813712,0.25917137,0.2690631,0.28065333,0.2981032,0.3208802,0.34158623,0.35255775,0.3506944,0.33849752,0.32202506,0.3066,0.29781422,0.29496923,0.29593754,0.29436517,0.29104152,0.2872869,0.2880328,0.29091385,0.29389587,0.29273534,0.2883201,0.27999136,0.26737276,0.24689274,0.21978313,0.19145523,0.17255704,0.1676315,0.17559917,0.19024275,0.21010394,0.23295261,0.2534119,0.25986663,0.24951273,0.2314331,0.22312765,0.23114197,0.2501829,0.26783863,0.2766415,0.2722293,0.2537544,0.22509865,0.1983601,0.18685792,0.19503288,0.21429276,0.23177893,0.23962165,0.23790507,0.23156707,0.22845574,0.23793183,0.2641623,0.3002411,0.32879955,0.33479953,0.31660557,0.28706828,0.26239333,0.2503921,0.24758285,0.24480999,0.23617108,0.22183399,0.20673741,0.19544625,0.19082503,0.19270067,0.19898081,0.20509839,0.20787138,0.20712163,0.20793216,0.21439226,0.2269672,0.23925762,0.24567139,0.24436283,0.24094738,0.24043606,0.24599533,0.254454,0.2625843,0.26515675,0.25965104,0.24486607,0.22425695,0.20336391,0.18728171,0.17883563,0.178845,0.18788123,0.2040714,0.22191185,0.23328812,0.23425399,0.22761436,0.22078101,0.21680236,0.21372925,0.20678426,0.19849272,0.19682121,0.21081626,0.23743553,0.26384798,0.27538934,0.2711371,0.26027623,0.25402185,0.2513836,0.24459165,0.2240467,0.1888118,0.14387546,0.09962664,0.06737421,0.058487475,0.0793777,0.12771852,0.18942313,0.24359532,0.2705761,0.26296595,0.22989081,0.19378154,0.17695208,0.18920727,0.22137813,0.25335136,0.26672295,0.25745544,0.23682286,0.2215332,0.22248733,0.23773102,0.2593817,0.2792399,0.29361418,0.30065668,0.29801702,0.28683457,0.27109778,0.26017234,0.25742236,0.26193118,0.2663922,0.2694243,0.27094463,0.27254888,0.26909113,0.25767007,0.2384622,0.21880841,0.20430976,0.19748478,0.19588125,0.19741838,0.20080404,0.20600247,0.2102911,0.2088282,0.19542526,0.16777015,0.13042553,0.09659923,0.08236804,0.09567026,0.12753941,0.15690015,0.16799992,0.16389282,0.16100931,0.17179997,0.19365768,0.21544468,0.22820602,0.23067658,0.22555329,0.21681856,0.20740563,0.19901556,0.19141833,0.18459867,0.18010165,0.18078814,0.18800032,0.1992933,0.20890468,0.21127075,0.2054465,0.1965462,0.19018053,0.18734817,0.18256132,0.17216444,0.15864532,0.1504311,0.15368384,0.16718946,0.18314987,0.19329037,0.19536854,0.19397731,0.19490932,0.1990831,0.20172165,0.19841443,0.19075312,0.18377917,0.17939983,0.1707262,0.15069161,0.12043029,0.09352372,0.081757866,0.08567185,0.09401374,0.10031738,0.11041013,0.13507567,0.17223924,0.20188558,0.20263146,0.17185836,0.13142562,0.10982751,0.1214092,0.15723433,0.19510432,0.21690643,0.22014995,0.21516168,0.21383995,0.22014232,0.23160316,0.24392755,0.253868,0.2576966,0.25297385,0.24485524,0.2441628,0.2593504,0.2833691,0.29947627,0.29471135,0.27260953,0.2486109,0.23512267,0.2342069,0.23808533,0.24065585,0.23946792,0.23569308,0.22845936,0.21863116,0.21164358,0.21681084,0.23769426,0.266695,0.29003122,0.29772472,0.29213405,0.281409,0.2752211,0.27300087,0.27190045,0.26647708,0.2604283,0.25871706,0.2672147,0.28315517,0.29921904,0.30597675,0.29961395,0.2820693,0.26039228,0.24220492,0.23397952,0.23761898,0.25102794,0.270301,0.29185215,0.3126731,0.32601735,0.32732326,0.3145413,0.29507682,0.27451468,0.2583727,0.24589877,0.23739953,0.2302478,0.22187246,0.20999636,0.19600059,0.18380882,0.17694551,0.1766079,0.18250895,0.19375937,0.20961297,0.22835219,0.24674885,0.26048243,0.2652413,0.2602036,0.24792819,0.23407875,0.22345315,0.21823442,0.21905357,0.2250374,0.23629825,0.24923217,0.26059696,0.26796174,0.27723238,0.29584536,0.3266712,0.36110476,0.38619098,0.39434662,0.38627627,0.367421,0.33986536,0.30558935,0.2675386,0.23393364,0.21215351,0.20607303,0.21301739,0.2268207,0.24082796,0.251281,0.25700662,0.25942978,0.26003823,0.2615527,0.2650286,0.27103302,0.27763024,0.28415403,0.29020908,0.29706988,0.30360237,0.30730632,0.30311802,0.28919217,0.26791796,0.24772982,0.2343713,0.22626145,0.21393181,0.19166012,0.16591871,0.15122628,0.15797597,0.18065153,0.20587511,0.22171144,0.22887085,0.23502846,0.24903505,0.27733544,0.32319403,0.38952506,0.47012258,0.55188817,0.61309385,0.6359958,0.61059016,0.5403841,0.4443291,0.3491896,0.27865037,0.23791118,0.21876544,0.21019316,0.20693927,0.20631824,0.20279188,0.19108582,0.17159848,0.14949708,0.13205417,0.122315735,0.12442287,0.13963704,0.16730316,0.1973583,0.21677488,0.2155758,0.1954935,0.16680396,0.14131306,0.12365159,0.11145627,0.10173046,0.098487556,0.11109742,0.14391126,0.19114415,0.23957257,0.28023842,0.3093958,0.3263876,0.32760105,0.30744216,0.2658431,0.21272762,0.1710589,0.16038527,0.18606222,0.22970156,0.26659846,0.27958798,0.27040172,0.24997221,0.23042274,0.21987714,0.22565232,0.2520337,0.2943575,0.3350949,0.35455096,0.3444921,0.31583968,0.28570473,0.26657942,0.25821355,0.25631937,0.25458372,0.25032982,0.24320318,0.23818308,0.2407875,0.25249135,0.26785836,0.28207222,0.2951214,0.3110844,0.32695317,0.33393523,0.32443556,0.30275893,0.28163037,0.27094373,0.27161667,0.27671736,0.28060377,0.28187558,0.28156045,0.28012213,0.27508184,0.26646265,0.2558024,0.2472105,0.24226908,0.24032009,0.23924555,0.23592351,0.22873764,0.21850985,0.21102685,0.21323092,0.22622983,0.24450414,0.25806174,0.26277173,0.25647035,0.23864299,0.20607482,0.1613533,0.11504031,0.08288553,0.077722974,0.10261915,0.15085213,0.2073276,0.2576052,0.29184118,0.30803683,0.30703864,0.29451755,0.27912557,0.27112916,0.27302384,0.27940607,0.27894768,0.26592368,0.24106091,0.21595435,0.20080765,0.2036922,0.22001167,0.24267648,0.26052144,0.26931444,0.26847345,0.2648189,0.26379323,0.26723608,0.27061778,0.27192461,0.2719151,0.27345684,0.27508307,0.27735803,0.28767908,0.3123313,0.34722528,0.36909652,0.3607624,0.3188442,0.26538774,0.22235136,0.2031917,0.2015841,0.20236158,0.19233619,0.17114455,0.15480918,0.16751081,0.22560401,0.32239082,0.42938137,0.51557666,0.56419164,0.5751481,0.5515269,0.4998679,0.42724574,0.3495209,0.2751734,0.2128386,0.1662332,0.14550821,0.15327118,0.1818495,0.2135727,0.23294623,0.235399,0.22426993,0.20676643,0.18643771,0.16539861,0.14495933,0.13070525,0.12957256,0.14503063,0.17069332,0.19325809,0.20260817,0.20191486,0.20233782,0.21315306,0.2287565,0.23927023,0.236028,0.22496504,0.21611416,0.21797794,0.22690652,0.2304378,0.21868831,0.1900536,0.1552562,0.12577079,0.114002146,0.12426904,0.15458,0.19099228,0.21905375,0.23049329,0.22944653,0.22129942,0.20776242,0.1864549,0.16215853,0.14585064,0.14814548,0.1671021,0.19072382,0.2051019,0.20460568,0.19117647,0.17223059,0.15401548,0.14086388,0.13137615,0.12429133,0.12125385,0.12818375,0.1496539,0.18232857,0.21643232,0.23732157,0.23527737,0.20952274,0.17294635,0.14355004,0.1363999,0.15291105,0.18233335,0.2055973,0.21173358,0.2036934,0.19538112,0.19424139,0.19543362,0.19207467,0.18350433,0.17478813,0.1631999,0.14323592,0.11263359,0.08088619,0.059454426,0.055648953,0.06797968,0.08925948,0.108590014,0.117110156,0.114913404,0.1136676,0.129117,0.16881944,0.226053,0.28481486,0.32811308,0.34278283,0.3223085,0.27011734,0.20352936,0.14560759,0.11535909,0.11611477,0.1402809,0.17444032,0.20809059,0.23472925,0.25085965,0.2555469,0.24764468,0.22803442,0.19742727,0.15886135,0.11932049,0.08951416,0.08129189,0.095683776,0.122495554,0.14241827,0.14447229,0.12973315,0.11036197,0.097662605,0.0974811,0.10807774,0.12176921,0.12798707,0.121783994,0.10897914,0.105336905,0.121891536,0.15701602,0.19568406,0.22463036,0.23997356,0.24525623,0.24197644,0.22555308,0.19448934,0.1556928,0.12706065,0.123687424,0.1491037,0.18901587,0.22139215,0.22977109,0.21141036,0.1758235,0.13549942,0.102502406,0.08590421,0.0901936,0.112104796,0.13775724,0.15218951,0.14742272,0.1342661,0.13194469,0.15353344,0.18985696,0.21852882,0.22580342,0.22155805,0.22864962,0.25803107,0.29732332,0.32288682,0.32358184,0.30705687,0.2914257,0.28572094,0.28832248,0.28850487,0.27810442,0.2526351,0.21700664,0.18250209,0.16244276,0.1589352,0.1617945,0.1562481,0.13994074,0.121544994,0.110828705,0.10510873,0.095092356,0.07541493,0.050919905,0.030280469,0.017707631,0.011934609,0.009534677,0.008686521,0.008591258,0.008637908,0.008194304,0.0069949017,0.005431591,0.0039361413,0.0029871091,0.002840881,0.0036848392,0.0053451774,0.007284423,0.008656445,0.0088269375,0.007698393,0.0060171126,0.0049777185,0.005746947,0.008475919,0.012026458,0.01441282,0.014254012,0.011803362,0.008771078,0.007154989]