[0.0018679177,0.0019136987,0.0019831301,0.0020041526,0.001951767,0.0018742791,0.0018721604,0.0020303254,0.0023701687,0.0028265167,0.0032778494,0.0035949207,0.0037003814,0.003590354,0.003327777,0.0030021956,0.0026938757,0.0024413958,0.0022341197,0.002022371,0.0017599193,0.0014459771,0.0011497034,0.0009767966,0.0010070825,0.0012402176,0.0015985416,0.0019779282,0.0022987195,0.0025244488,0.0026441375,0.002653567,0.002553277,0.0023649058,0.0021467085,0.00198225,0.0019429164,0.0020445657,0.0022379924,0.0024397902,0.0025782585,0.0026232926,0.0025878751,0.0025187451,0.0024772063,0.0025117618,0.0026317127,0.0028057778,0.0030106998,0.003279974,0.0037169761,0.0044276905,0.0054389555,0.006657105,0.007906154,0.009018988,0.009910282,0.010619871,0.011299163,0.012184221,0.013528183,0.015521255,0.018195271,0.021371046,0.02467609,0.027649889,0.029890448,0.031193227,0.03167592,0.031840615,0.032516975,0.034536377,0.038319062,0.04358797,0.049515408,0.055130616,0.059759695,0.06327794,0.066143245,0.06924927,0.07351056,0.07929962,0.085921146,0.091656655,0.09453997,0.09366124,0.08999422,0.08615008,0.08501968,0.088312246,0.09572637,0.10505515,0.11306122,0.11680289,0.115035675,0.10864877,0.09985662,0.0907627,0.08296072,0.07838114,0.07972187,0.0892076,0.106238365,0.12670887,0.14444475,0.15413935,0.15393561,0.14737503,0.14341053,0.15359288,0.18699013,0.24565189,0.32204673,0.39862147,0.45145497,0.45995107,0.4195652,0.34605753,0.26621538,0.20180702,0.1604984,0.13866974,0.12842314,0.123141505,0.118251115,0.112410985,0.10757881,0.108600564,0.119241446,0.13780017,0.1563871,0.16602133,0.16356818,0.15279442,0.13959728,0.12647672,0.11297074,0.09914427,0.08765176,0.08169151,0.082328446,0.08808703,0.096641056,0.106561214,0.11749258,0.12903136,0.13972165,0.14707536,0.14928703,0.14643419,0.14040755,0.13291037,0.12416217,0.11332094,0.10036086,0.087332405,0.07759238,0.07386378,0.0763718,0.08288897,0.08991426,0.094453216,0.09465743,0.08996597,0.08096077,0.06960817,0.058919866,0.051675986,0.048770994,0.048787523,0.049205195,0.048417177,0.046571117,0.044978544,0.0443972,0.044270534,0.043127615,0.04024796,0.036298793,0.032825485,0.030624032,0.029275035,0.027775683,0.025810735,0.023940912,0.022938276,0.022921318,0.023352774,0.023562172,0.023311311,0.02278325,0.022267357,0.02187512,0.021574853,0.021442952,0.02174619,0.022779763,0.024512066,0.026429579,0.027715087,0.02770909,0.026392706,0.024453541,0.022898585,0.022388801,0.022979802,0.024348425,0.02630098,0.028899634,0.032230873,0.03606527,0.039893735,0.0431848,0.045630503,0.047110233,0.047580626,0.04704915,0.045738157,0.044203877,0.043292265,0.04378639,0.04603209,0.04970102,0.05398087,0.057971228,0.06112932,0.06348983,0.06556807,0.06796817,0.07087132,0.073832534,0.075992644,0.07659096,0.07533417,0.07257471,0.06927431,0.06685647,0.06674528,0.06974652,0.07554065,0.08272272,0.08931396,0.09346614,0.09399258,0.090650804,0.084120624,0.07574114,0.067082204,0.059688136,0.054954868,0.054064516,0.05752331,0.06465904,0.073378175,0.080795795,0.08462557,0.0850029,0.085749514,0.09391403,0.11718863,0.15990691,0.21922259,0.28308013,0.33260974,0.35008547,0.32902178,0.2786259,0.21777423,0.16416332,0.12687583,0.107032456,0.10089427,0.102644734,0.10594031,0.10680809,0.10568449,0.10623131,0.11107192,0.1183183,0.12262767,0.11991199,0.11106389,0.10079945,0.092841156,0.08684838,0.08001145,0.071194835,0.062359635,0.056216937,0.05295117,0.050288018,0.04628481,0.041935414,0.040185664,0.042772185,0.047765154,0.050907195,0.04909274,0.043054592,0.036316577,0.032128625,0.030954061,0.031059792,0.030623557,0.029414177,0.028280819,0.027728662,0.027188038,0.02565297,0.022886902,0.019664064,0.017162334,0.015858972,0.015354293,0.014906055,0.014366966,0.014279049,0.015208014,0.016941307,0.018557847,0.01925915,0.019059544,0.018675921,0.018729806,0.019228509,0.019610303,0.019387411,0.018537298,0.017600559,0.017277984,0.018090917,0.02008312,0.02286908,0.025871022,0.028680557,0.031292412,0.03402173,0.03725238,0.041087244,0.04526629,0.049279183,0.05276908,0.055834208,0.05914079,0.06362867,0.06995827,0.07788683,0.08596197,0.09194078,0.093911685,0.09158561,0.08682239,0.082818925,0.082375206,0.08631142,0.09322116,0.100503705,0.10586792,0.108127154,0.10709394,0.103000455,0.096162654,0.08724305,0.07786596,0.07099328,0.07008634,0.07728056,0.0915552,0.10876223,0.12341741,0.13131292,0.13124384,0.12594575,0.12195472,0.12861645,0.15546234,0.20882337,0.2872183,0.37724337,0.45345116,0.48752365,0.46438515,0.39304742,0.3016143,0.21925913,0.16150726,0.12829521,0.11220616,0.105684854,0.10366064,0.10345126,0.10522618,0.11176673,0.12548548,0.14451484,0.16170992,0.16935898,0.16482083,0.15221842,0.13765635,0.12430105,0.11148301,0.0985186,0.08734116,0.08139521,0.082368165,0.088864654,0.09818999,0.108734004,0.1205103,0.13355576,0.14625473,0.15557471,0.15898943,0.1564349,0.1499849,0.14186953,0.13259266,0.12132242,0.10779304,0.09372971,0.082365386,0.0763646,0.076325215,0.08049645,0.08606825,0.09010077,0.09048381,0.08622536,0.078154586,0.06845474,0.059774462,0.053637445,0.050133333,0.04830944,0.04720171,0.04630317,0.045630258,0.045504794,0.04609668,0.04705486,0.04732393,0.045759946,0.041934863,0.036566786,0.031037001,0.026517361,0.023587478,0.02232489,0.022636665,0.024093658,0.025893712,0.02699589,0.026801525,0.025419047,0.023549706,0.021846352,0.020648243,0.020025952,0.020118004,0.021127775,0.023023566,0.025247538,0.02687572,0.027189998,0.026133984,0.024312494,0.022550868,0.021451091,0.021188917,0.02164025,0.022644522,0.024190435,0.026366608,0.029184354,0.03247683,0.035958942,0.03931178,0.042193796,0.04426876,0.045276377,0.045180794,0.044173498,0.042737696,0.04158166,0.04156302,0.043263506,0.046628606,0.050868824,0.05491549,0.057994273,0.05995202,0.06114797,0.06216519,0.063515514,0.0654701,0.06792329,0.0703774,0.072071575,0.07235558,0.071163565,0.06925162,0.067970805,0.068613835,0.071739286,0.07677549,0.082082726,0.08558652,0.085760005,0.08249974,0.07702905,0.07093871,0.065106474,0.05964866,0.05480218,0.051634192,0.051720638,0.05589031,0.06335638,0.07182046,0.07873911,0.08302643,0.086473934,0.09402182,0.11211986,0.14588101,0.19550508,0.25380751,0.30590686,0.33430263,0.32776928,0.28894034,0.23299348,0.17832953,0.13739967,0.11374888,0.10501388,0.10541651,0.10850658,0.109205164,0.107155554,0.10555688,0.10772917,0.112481855,0.11515624,0.111532785,0.10234643,0.092111945,0.08511627,0.081426,0.078020394,0.07230738,0.06555686,0.06324135,0.07380279,0.10523627,0.15937795,0.2271113,0.2896789,0.32897532,0.33713493,0.31935093,0.28703424,0.25171822,0.22095363,0.19790292,0.18036671,0.16350631,0.14362197,0.12247298,0.10604727,0.10131974,0.11040879,0.12910698,0.14774263,0.15817152,0.1572367,0.14793877,0.134096,0.11856163,0.10235094,0.086874336,0.07338289,0.06297713,0.05613182,0.053279642,0.054400172,0.05869584,0.064302154,0.06909012,0.071306676,0.070532896,0.06717076,0.062263176,0.056544986,0.050926924,0.04624987,0.043194916,0.041628107,0.040934052,0.04086757,0.041839138,0.044371795,0.04817755,0.052513435,0.056620236,0.060444128,0.064155124,0.0683688,0.07352841,0.07986757,0.08661907,0.09243382,0.09577966,0.09582696,0.0927724,0.08794419,0.08342277,0.081178315,0.08239313,0.08703858,0.09413043,0.10188202,0.10805869,0.11032781,0.107009985,0.09790733,0.08481989,0.07113237,0.06057739,0.05582449,0.057839904,0.06595106,0.07829589,0.092183344,0.10442444,0.11207401,0.11387056,0.11242258,0.115398645,0.13402101,0.17821203,0.2502593,0.33998337,0.42430496,0.47470823,0.47099546,0.4143727,0.32764626,0.24144214,0.17671876,0.13790005,0.120040394,0.11883118,0.1357761,0.17064762,0.21522778,0.2511153,0.2639719,0.25350234,0.23461789,0.2210816,0.21489906,0.20743358,0.19144475,0.16756026,0.14191435,0.12048129,0.10663405,0.10227574,0.10825432,0.123233475,0.14250802,0.15927307,0.16863059,0.17050374,0.16946845,0.17030211,0.17420276,0.17795932,0.17707507,0.16922252,0.15535189,0.13834079,0.12129826,0.10728631,0.09962685,0.10065346,0.109537,0.12106206,0.12832181,0.12673342,0.116770424,0.102562696,0.08881704,0.078492366,0.07239077,0.07008364,0.07039157,0.07203179,0.07354542,0.07387143,0.07243973,0.06952498,0.06567023,0.06138715,0.056809854,0.052360836,0.048656035,0.046440575,0.04568324,0.045759324,0.045649964,0.04469006,0.042666674,0.039811954,0.036505725,0.033222053,0.03048735,0.028795974,0.028343081,0.028860644,0.02988288,0.030976677,0.031965215,0.032616694,0.032706086,0.031982742,0.030483728,0.028474106,0.02642036,0.024780603,0.023861261,0.023713946,0.024120873,0.024750456,0.025313215,0.025835194,0.026706548,0.028588822,0.031885516,0.036370035,0.041115925,0.0450632,0.047536943,0.048438847,0.04796301,0.046418104,0.04425983,0.042254668,0.04129283,0.04205589,0.044596806,0.04838567,0.052443057,0.055832285,0.05789933,0.058709208,0.05898428,0.0598985,0.062285338,0.06614434,0.070486814,0.07388526,0.075138934,0.07397423,0.07125035,0.06876662,0.068195425,0.07025226,0.074109785,0.07824256,0.081171244,0.08226338,0.08147511,0.079076745,0.07532219,0.0703787,0.06457209,0.058650155,0.054096326,0.0527121,0.055788502,0.06314967,0.072903104,0.08212814,0.08841938,0.09189039,0.09627756,0.108213894,0.13422972,0.1770817,0.23251617,0.28806913,0.3262646,0.33251166,0.30431637,0.25309876,0.19725531,0.15159054,0.122176886,0.10777082,0.10329335,0.10294741,0.10202113,0.09883789,0.094165415,0.089337,0.08407921,0.07724341,0.06882494,0.061441407,0.058556546,0.061426654,0.067252524,0.07110756,0.069752015,0.06376509,0.05799693,0.059853483,0.0794438,0.123164214,0.18838267,0.25660285,0.3037524,0.31214538,0.28428516,0.23768455,0.19501998,0.16988815,0.16333027,0.16545282,0.1644535,0.15314685,0.13295414,0.11085263,0.095499985,0.09238767,0.101883024,0.11852745,0.13381676,0.14042032,0.13594277,0.123156376,0.10751899,0.09392954,0.085044116,0.0808996,0.07989337,0.07980102,0.07904078,0.07714304,0.07493081,0.07387212,0.07513573,0.078384966,0.08168882,0.08244082,0.07949378,0.07378272,0.06762286,0.062367503,0.05782632,0.053142007,0.048455637,0.0449654,0.043917883,0.04589802,0.051064234,0.059335496,0.07010535,0.08164012,0.091555946,0.097465165,0.09826833,0.09449962,0.08861459,0.083688825,0.08204299,0.08375146,0.08699545,0.08925439,0.08915975,0.08698613,0.0844653,0.08358457,0.08602845,0.09203797,0.09958601,0.10446024,0.10260904,0.09361798,0.081194825,0.07082671,0.065648235,0.06607798,0.07114347,0.080656804,0.09411017,0.10952988,0.12291145,0.13086063,0.13279441,0.13266365,0.1373592,0.15496917,0.19159232,0.24977319,0.324901,0.4028567,0.4601694,0.47382927,0.43511474,0.35772106,0.26962486,0.19639099,0.14882107,0.12510018,0.11970315,0.13077267,0.15805711,0.19713442,0.23650606,0.26313594,0.27153274,0.26562667,0.2529729,0.23689258,0.21721332,0.19403648,0.17017703,0.14840667,0.12995969,0.1153362,0.1060892,0.10412646,0.11003766,0.121559046,0.13524067,0.14825876,0.16104895,0.17506899,0.19029279,0.2023284,0.20557944,0.19721143,0.17985134,0.15906234,0.13964202,0.123596884,0.111160845,0.10255575,0.098299466,0.098239034,0.10080143,0.10393854,0.106275946,0.10737577,0.10664076,0.1032036,0.09684191,0.08910193,0.082394995,0.07832525,0.07654241,0.07567709,0.0745998,0.0732495,0.07206842,0.07125378,0.070303746,0.068344444,0.06499427,0.0606636,0.056460615,0.053117096,0.050760914,0.048669633,0.046229813,0.043073803,0.039538603,0.036112886,0.033409964,0.03187876,0.031802375,0.033081327,0.035073116,0.036928948,0.038086936,0.03861164,0.0387513,0.038425982,0.037263658,0.035189945,0.032710623,0.030473145,0.028668815,0.027020976,0.02523447,0.023452595,0.022193352,0.022113217,0.0235937,0.026623003,0.030721584,0.03511341,0.038940925,0.04156345,0.04293715,0.043476377,0.043828342,0.04415923,0.044299588,0.04381877,0.04274613,0.041573316,0.0413225,0.042879134,0.04644152,0.05109276,0.055236936,0.057658646,0.058320884,0.05847625,0.05962013,0.06272457,0.067536004,0.07298883,0.07743424,0.07945063,0.07829553,0.07455168,0.06994194,0.066641755,0.06612476,0.06862723,0.073198386,0.078289986,0.08224649,0.0838505,0.08277428,0.07959336,0.07524722,0.070310235,0.065063335,0.06021534,0.057373475,0.058477927,0.0643147,0.07362477,0.08330396,0.09017524,0.09319531,0.09502729,0.101830065,0.12073394,0.15666626,0.20874222,0.2682306,0.3187262,0.34231952,0.32917824,0.28458643,0.22561848,0.17062598,0.13019697,0.106116645,0.09523805,0.09266493,0.09317527,0.092289336,0.08819159,0.08179932,0.07524481,0.07057332,0.07282848,0.092542686,0.14268063,0.2227732,0.3114165,0.37159166,0.37967932,0.3377615,0.27524453,0.22533344,0.2162628,0.25306764,0.3192161,0.3751677,0.39044288,0.3575189,0.29980624,0.2434596,0.20512356,0.1851099,0.1786666,0.17894773,0.18007721,0.1781391,0.17407598,0.1729381,0.18072076,0.19855605,0.22122185,0.23809333,0.24188858,0.23253725,0.2173441,0.20206095,0.18779011,0.17267974,0.15777017,0.14652045,0.14117892,0.13961416,0.13793619,0.13650608,0.14369094,0.17437273,0.23443389,0.3113713,0.3718361,0.38824794,0.35412744,0.29057965,0.22344892,0.17051882,0.1351894,0.11428419,0.10254999,0.095665075,0.091058604,0.08844197,0.090073824,0.0994915,0.11892853,0.14367051,0.16305782,0.16521539,0.14954363,0.1255265,0.1109049,0.119359314,0.16183619,0.23387401,0.31750044,0.37770143,0.3912814,0.35568574,0.29807976,0.2499225,0.2382536,0.2691914,0.33049056,0.39149928,0.42386755,0.41654667,0.3812742,0.33613035,0.2925765,0.25358,0.22203816,0.2034356,0.20180614,0.21489835,0.23522878,0.2551389,0.27010742,0.28006682,0.2855411,0.28931966,0.2945802,0.30975315,0.3400941,0.3840401,0.4253151,0.4432304,0.4243748,0.37380338,0.31016257,0.25262383,0.21059287,0.1846937,0.17631651,0.19261216,0.23978253,0.3095253,0.37564233,0.4080312,0.39451495,0.34689572,0.28949246,0.24021171,0.20540626,0.18317108,0.17033875,0.16340302,0.15939416,0.15597422,0.15366845,0.15513259,0.16497307,0.18321998,0.20546758,0.22177531,0.2282236,0.22610901,0.22460838,0.23176275,0.25711182,0.3034747,0.3630965,0.41268292,0.4287424,0.4035438,0.35248086,0.3024223,0.2772131,0.2889304,0.33158854,0.3839352,0.41695762,0.41577733,0.3843433,0.34158778,0.30170274,0.27098837,0.24850124,0.23283565,0.22155176,0.2114172,0.19979541,0.18744765,0.17878823,0.17987259,0.19163872,0.20854001,0.21867414,0.21523888,0.19894694,0.17932187,0.16429318,0.15790306,0.15876482,0.16404176,0.17006128,0.1732222,0.17097975,0.16366732,0.1581352,0.16687226,0.20535834,0.2742381,0.35511062,0.41047978,0.41667476,0.3734198,0.30776772,0.24458493,0.19823593,0.16794159,0.14958186,0.13825762,0.1307115,0.12453414,0.11983556,0.11897717,0.12630373,0.1419126,0.16000192,0.16863354,0.16137409,0.14072366,0.118661374,0.108172745,0.12090977,0.16515218,0.23681577,0.3162958,0.37061667,0.37986574,0.34537515,0.29402646,0.25516734,0.25496936,0.2977725,0.36857894,0.4298705,0.45262435,0.4284867,0.37878093,0.32697165,0.28809896,0.2618988,0.24502991,0.23334403,0.22368526,0.21282224,0.2005101,0.19051342,0.18857516,0.19657294,0.20964389,0.21854125,0.21688348,0.20550324,0.18993509,0.17516951,0.16260642,0.15255536,0.14583203,0.14400439,0.14726074,0.15403491,0.16150652,0.16956413,0.18388323,0.21713112,0.27634177,0.35295928,0.4191734,0.4519335,0.44900396,0.43217656,0.4200572,0.41360557,0.39779624,0.36309013,0.31411695,0.26492262,0.2263978,0.20165564,0.18987352,0.18969972,0.20037115,0.21565215,0.22629403,0.22204344,0.20318703,0.17711718,0.1583793,0.15851843,0.18917924,0.25023812,0.32809314,0.39024115,0.41009077,0.3799673,0.3217322,0.26693127,0.24539216,0.26866558,0.3269081,0.3887867,0.4207141,0.40793154,0.36288235,0.31116623,0.27223656,0.2518132,0.24616562,0.24889056,0.2531549,0.25311178,0.245238,0.23146273,0.2182625,0.2150775,0.22528428,0.24450965,0.25915214,0.26019558,0.24574314,0.22496201,0.20624422,0.19585948,0.19366954,0.19775529,0.20448227,0.21141224,0.21711981,0.22286342,0.23352587,0.25857893,0.30551895,0.36932048,0.4277811,0.45288515,0.43200627,0.3757821,0.30934408,0.25200465,0.21052933,0.18109082,0.1587662,0.14048214,0.1260188,0.115965225,0.11203759,0.11633164,0.13163267,0.15507422,0.17850389,0.18893017,0.18247843,0.16447696,0.1502555,0.15317114,0.18500371,0.24819928,0.33156714,0.4066858,0.4432787,0.43016294,0.3828783,0.33276334,0.30646694,0.31763425,0.3598182,0.41276872,0.44779372,0.4497644,0.42031017,0.37586117,0.32845545,0.2852156,0.24955903,0.22769755,0.22346646,0.23524217,0.25533682,0.27562693,0.2910219,0.30177978,0.3093703,0.31684217,0.32674524,0.34676442,0.38364658,0.43832746,0.49524298,0.5299995,0.52266586,0.47488344,0.40711045,0.34491888,0.30152,0.2756538,0.26202813,0.26218536,0.28693667,0.33857405,0.4023901,0.4443314,0.4417533,0.39532092,0.33231774,0.27720082,0.24096362,0.21877527,0.20436575,0.19369806,0.18523918,0.17711282,0.16942012,0.16527082,0.17062898,0.187127,0.20984364,0.22762285,0.2344994,0.23229213,0.22999626,0.23552985,0.25565022,0.29615775,0.35481754,0.41613767,0.45210934,0.44580078,0.40103066,0.34495512,0.30552563,0.30384934,0.34022164,0.39877394,0.44703546,0.46105096,0.43487445,0.38677287,0.336592,0.29693708,0.26825294,0.24859478,0.2351016,0.22488375,0.21416642,0.20148265,0.18957752,0.18467973,0.19096197,0.20524436,0.21688516,0.21492253,0.19753093,0.17299724,0.15387738,0.14691691,0.15103245,0.15938777,0.16554156,0.1663015,0.16241555,0.15694456,0.15542708,0.16652274,0.20191604,0.26533625,0.34411415,0.407396,0.4279836,0.3993992,0.34054384,0.27691022,0.22526388,0.18931966,0.16608708,0.15163887,0.1425104,0.13608347,0.13055627,0.12684968,0.12804085,0.13871807,0.15702154,0.17510979,0.17988646,0.16801536,0.14485736,0.1263733,0.12632386,0.15843864,0.2234186,0.30706954,0.37534997,0.39981052,0.37294492,0.3176977,0.2668725,0.24988134,0.2775254,0.34011868,0.4069916,0.44537613,0.43916848,0.39885333,0.34644055,0.29980323,0.26469335,0.241123,0.22670265,0.21839476,0.21147291,0.2027101,0.1928374,0.18665601,0.18997347,0.20258188,0.21813767,0.22541277,0.21986075,0.20317453,0.18358214,0.16607974,0.1539631,0.14793487,0.14875881,0.15477271,0.16231066,0.16760729,0.17054673,0.17759229,0.20072933,0.25030148,0.32242492,0.39575657,0.44284806,0.45267928,0.4371771,0.4180462,0.40523374,0.39183447,0.3667477,0.32755506,0.2828466,0.24304944,0.21430586,0.1979597,0.19352652,0.20067327,0.21448322,0.22669488,0.22635627,0.21168625,0.1882148,0.1688066,0.16366379,0.18297867,0.2312076,0.30161917,0.369882,0.4055679,0.3932016,0.34268534,0.28336322,0.2449888,0.24842162,0.29298034,0.3590052,0.41085744,0.4251964,0.3997256,0.35617685,0.31518903,0.29019216,0.28257915,0.29037425,0.30589154,0.31893572,0.3200811,0.3084326,0.29109862,0.27867475,0.27566,0.27941093,0.2813823,0.2766225,0.2643622,0.24889392,0.23351873,0.2217462,0.21638542,0.21915235,0.22788964,0.23669456,0.24104428,0.2403547,0.24119861,0.2532153,0.28864166,0.34765065,0.4153109,0.459694,0.46013212,0.4181235,0.36071232,0.31376204,0.2902772,0.2862616,0.2919809,0.29776576,0.29835543,0.2928245,0.28395697,0.27484763,0.26717332,0.26019558,0.25262302,0.24400838,0.23588055,0.23035276,0.22752953,0.22790416,0.23558445,0.26289585,0.31475222,0.3807257,0.42858574,0.43477127,0.3966162,0.34199056,0.30228856,0.3019004,0.34027645,0.39797536,0.44000903,0.44263878,0.4038205,0.34613085,0.2930783,0.25756827,0.23784925,0.22823298,0.2242099,0.22408313,0.22670405,0.23063886,0.23438424,0.2371909,0.23909794,0.24134451,0.24711889,0.262311,0.29388607,0.34433725,0.40561345,0.4572474,0.47555378,0.44825482,0.38489032,0.31053734,0.24978681,0.2130025,0.19920819,0.2059183,0.23746316,0.29561046,0.36975944,0.43209934,0.45642602,0.4342098,0.38180757,0.3245118,0.28202692,0.260651,0.2571973,0.26369548,0.27127168,0.27312544,0.26691735,0.2555685,0.24552713,0.24334359,0.25146294,0.26618624,0.27921686,0.2833815,0.2768152,0.26563427,0.26092723,0.27584207,0.31416634,0.36560094,0.40471804,0.41106248,0.38059923,0.33191067,0.29035553,0.27920902,0.30693427,0.36395788,0.421284,0.4473741,0.42767027,0.37340423,0.31037828,0.26122913,0.23790295,0.24054544,0.26152447,0.28636146,0.30145526,0.29952917,0.28475848,0.26720154,0.25694847,0.25501177,0.25524175,0.24750786,0.22908366,0.20417471,0.18258595,0.1698098,0.16675621,0.16939308,0.1739055,0.17755131,0.18043615,0.18367946,0.18908341,0.19986753,0.222439,0.26376912,0.32054797,0.37583718,0.4047713,0.3958687,0.3556129,0.3046465,0.259019,0.22664334,0.20614304,0.19373673,0.18436956,0.17517108,0.16549148,0.15791738,0.1554117,0.16073199,0.17154746,0.18185852,0.18233335,0.17013198,0.14886917,0.1298172,0.12449507,0.14498109,0.19687791,0.27200282,0.34444192,0.3830271,0.37332872,0.32592538,0.2702224,0.23552941,0.2436995,0.29500303,0.36900076,0.4252154,0.4349902,0.39439714,0.32967198,0.2684659,0.2271884,0.2049488,0.1950831,0.19040586,0.18635161,0.18078756,0.17457928,0.17109638,0.17507239,0.18774234,0.20509875,0.21739835,0.21806233,0.20760317,0.19478936,0.18736793,0.18748187,0.19127344,0.19443186,0.19589472,0.19726823,0.20094638,0.20685028,0.21598165,0.23178594,0.26464772,0.31777528,0.3831871,0.43563426,0.4598486,0.45624772,0.44495225,0.43669558,0.42911363,0.4086089,0.37056565,0.321367,0.2737116,0.23584783,0.20944984,0.19197346,0.1804922,0.17291242,0.16816676,0.16685879,0.17116225,0.18240768,0.19699292,0.2099737,0.2217738,0.24630558,0.29389194,0.35891846,0.40900612,0.4170605,0.37638783,0.31346866,0.2609566,0.2475437,0.27955654,0.3431479,0.4039466,0.43061778,0.41158283,0.3622398,0.30747142,0.2657971,0.24309723,0.23609908,0.23773079,0.2392347,0.23507802,0.22415389,0.21064909,0.20012416,0.19812913,0.20672035,0.22318,0.23895042,0.24538237,0.23885094,0.22462653,0.21232598,0.21116018,0.22344501,0.24491107,0.26634464,0.28107536,0.28702262,0.28937063,0.29639927,0.31923494,0.3612453,0.41383752,0.4527315,0.45715436,0.42203176,0.36475512,0.30767167,0.2664746,0.24435012,0.2378561,0.24056919,0.24454767,0.24307442,0.23332186,0.21886952,0.2063005,0.20112915,0.20351253,0.2092439,0.21274526,0.2112053,0.20533101,0.20019919,0.2047381,0.23100229,0.28405204,0.35362935,0.41242084,0.43561777,0.41718733,0.37582836,0.33885387,0.32866904,0.35180402,0.3970361,0.43829057,0.44896564,0.4198999,0.3634899,0.3022738,0.25122145,0.21396063,0.18760268,0.17021011,0.16192012,0.1631819,0.17279945,0.1875766,0.20350547,0.21835154,0.23093206,0.24285178,0.25631323,0.27865723,0.31573808,0.36895946,0.42488897,0.46263373,0.46322966,0.4257232,0.3665551,0.30997238,0.27191895,0.25466487,0.25356114,0.26750633,0.30206892,0.35665202,0.41699016,0.4566628,0.46033594,0.4307994,0.3869032,0.34273148,0.3052266,0.27472326,0.25258127,0.23786472,0.22784977,0.21845163,0.20908855,0.20210771,0.20246942,0.21201265,0.22920495,0.24792854,0.26511025,0.28030196,0.2966167,0.31589198,0.34204474,0.37938663,0.42606387,0.46768197,0.48216963,0.4586496,0.40522435,0.347103,0.30872002,0.3084052,0.34417978,0.39817098,0.43584397,0.43640187,0.3980401,0.3435606,0.29338184,0.26187536,0.25106895,0.25901332,0.27694687,0.29308346,0.2966968,0.28597727,0.26770636,0.2527329,0.24532704,0.2419474,0.2335382,0.21699752,0.19591255,0.17877237,0.1700508,0.16967086,0.17418772,0.18051666,0.18676889,0.19155557,0.19447728,0.19506305,0.19696634,0.20774056,0.24080728,0.29989967,0.37263742,0.42661807,0.43665186,0.3987395,0.33580735,0.27360207,0.22799693,0.19929118,0.18210077,0.17009443,0.16013123,0.15093394,0.14310028,0.13654391,0.13095033,0.12562004,0.120759524,0.117957026,0.11967454,0.1284207,0.14204942,0.15796302,0.17608602,0.20885472,0.26388374,0.33481193,0.3893733,0.40131786,0.364957,0.30708507,0.2600965,0.25160003,0.28725055,0.35303888,0.4136921,0.43732345,0.41214195,0.3559132,0.29469648,0.24725927,0.21736605,0.20170516,0.19464712,0.19062199,0.18554986,0.17815171,0.17097528,0.16801226,0.17340809,0.18704458,0.20434938,0.21625908,0.21751952,0.20892395,0.1979775,0.19056116,0.18853939,0.18914402,0.18964864,0.18924426,0.18959534,0.1924358,0.19946064,0.21370961,0.24318998,0.29403326,0.36179253,0.42508867,0.4619167,0.46615493,0.4538122,0.44283128,0.43681955,0.42323008,0.3911427,0.34214422,0.28912428,0.24464458,0.21454144,0.19798107,0.19080032,0.18828689,0.18613583,0.1828046,0.17882438,0.1765902,0.1768357,0.18139113,0.19421111,0.22521277,0.27887145,0.34702554,0.40253904,0.4200416,0.39078203,0.33287323,0.27595094,0.2485073,0.26483878,0.31855884,0.38227817,0.41982725,0.41015455,0.35800743,0.2878429,0.22335112,0.17799665,0.1540244,0.14833428,0.1543153,0.16391213,0.16909386,0.16626275,0.15822738,0.15474375,0.16272247,0.18084489,0.19616848,0.198826,0.18761988,0.17243831,0.16041116,0.15246506,0.14442573,0.13478027,0.12542732,0.11846167,0.113120474,0.1077947,0.10595109,0.11907216,0.16167119,0.23451209,0.3169888,0.37225273,0.3764123,0.33091047,0.26197514,0.19498509,0.14462768,0.11153456,0.09215679,0.081387155,0.07524127,0.07049645,0.06732755,0.06902245,0.0814261,0.104758285,0.13160665,0.14711332,0.14343467,0.123771906,0.10333788,0.097851925,0.120539285,0.1764338,0.25660393,0.33507833,0.37909016,0.3720925,0.32316115,0.2625855,0.22124903,0.22235592,0.2668045,0.33480206,0.38632324,0.3926501,0.3488263,0.2792101,0.20940988,0.15561166,0.11986303,0.10112748,0.09717503,0.10454136,0.11724005,0.12957889,0.1393289,0.1491065,0.1621719,0.17948061,0.19899549,0.22296917,0.25911722,0.31462988,0.38248456,0.43899968,0.4564302,0.4229782,0.35120097,0.26811963,0.19748664,0.1490689,0.12378785,0.123036705,0.15485364,0.2204427,0.30590472,0.37834048,0.4123068,0.40177175,0.36473048,0.31901062,0.27465504,0.2327861,0.19648226,0.16978496,0.15406309,0.1455589,0.13997708,0.13713071,0.1416273,0.1573354,0.18220921,0.20761915,0.22512603,0.23263158,0.23417121,0.23668297,0.2471629,0.2754492,0.3237808,0.38148847,0.41932642,0.41518173,0.3658307,0.29680297,0.23952185,0.2221439,0.251142,0.31243095,0.37051114,0.39378557,0.37026104,0.31545046,0.25276092,0.20000602,0.1630852,0.14193381,0.13330126,0.13199192,0.13235384,0.13074583,0.12794493,0.12797308,0.13629456,0.15208381,0.1678258,0.1699537,0.1534372,0.12283804,0.09206078,0.069742575,0.05814056,0.05298722,0.050822943,0.04964402,0.049162984,0.0491208,0.051238302,0.06191666,0.09368358,0.15571666,0.241143,0.32178453,0.3644576,0.3538787,0.30172127,0.23397966,0.1714874,0.12268963,0.08722758,0.06266637,0.046602458,0.03683815,0.031699885,0.031596024,0.03904723,0.057897683,0.085657306,0.1132586,0.12569623,0.11780488,0.09487585,0.074229255,0.07142814,0.10068353,0.16437116,0.25048757,0.3275032,0.36430368,0.34790275,0.29472768,0.23636603,0.20439474,0.21621661,0.267356,0.33110866,0.37058997,0.36413506,0.3161128,0.25093928,0.19048642,0.1452009,0.11444035,0.09485131,0.0828672,0.07587903,0.07214285,0.072442435,0.07956848,0.09733927,0.123282485,0.1484089,0.1582873,0.14773415,0.122045614,0.09570157,0.07724336,0.06774399,0.062172983,0.05770503,0.05467117,0.05520012,0.060155313,0.06861185,0.08191683,0.106542625,0.15469527,0.22862124,0.31462455,0.3819096,0.4127451,0.41029325,0.39790156,0.3874718,0.3747195,0.3450977,0.29523134,0.23455185,0.17838436,0.13704948,0.11496674,0.11207322,0.12630881,0.14996634,0.17181319,0.17988525,0.17194866,0.15397449,0.13707377,0.12992872,0.14158057,0.18093103,0.24694054,0.32039607,0.36739746,0.36608505,0.3190116,0.2549885,0.20642151,0.20168258,0.2472829,0.32894439,0.40728948,0.44911453,0.44127533,0.40303147,0.35905966,0.3276573,0.30931768,0.29777634,0.2841622,0.26468742,0.2413532,0.22185601,0.21413343,0.22155769,0.24081607,0.26565096,0.29145417,0.31754014,0.3429588,0.36308014,0.36995372,0.35909045,0.33354196,0.30329403,0.27921772,0.2677913,0.2684104,0.2745513,0.28096795,0.28943458,0.31156123,0.3539149,0.40844497,0.44834247,0.45190784,0.41608155,0.36016092,0.3047814,0.2605226,0.22605956,0.19727941,0.17191951,0.15025984,0.13342944,0.123156406,0.12148265,0.13073711,0.15139794,0.17824721,0.20108606,0.20911731,0.20103854,0.18399358,0.17236406,0.17831703,0.21373443,0.2775605,0.35575756,0.41643444,0.43745622,0.41522405,0.37426504,0.3418965,0.33977023,0.36792275,0.41131887,0.44168842,0.43892172,0.40074936,0.34651005,0.29854566,0.26994535,0.25950125,0.2602649,0.2654103,0.27155277,0.27719393,0.28267112,0.28911433,0.29821056,0.31108975,0.3263502,0.3423235,0.3577151,0.37762204,0.407568,0.44967866,0.4924879,0.51783824,0.5107412,0.47322896,0.42217484,0.3780719,0.3516251,0.3423029,0.34695908,0.3680551,0.41012523,0.46887437,0.5267834,0.5636837,0.57087344,0.55307156,0.51910484,0.4745506,0.4258981,0.38461483,0.36325154,0.3640767,0.3748765,0.37636122,0.3573548,0.32246614,0.2887385,0.26894546,0.2640908,0.26241997,0.25551635,0.24166174,0.22972767,0.22939284,0.2518233,0.29893157,0.36033317,0.40938652,0.42221668,0.39190555,0.33640525,0.2843537,0.26227564,0.28323713,0.34001398,0.40514377,0.44229996,0.43117586,0.37821686,0.3097888,0.24923433,0.20640488,0.17931391,0.16380571,0.15803258,0.16273843,0.17821765,0.20293765,0.2322234,0.26185295,0.28706205,0.3059261,0.31606102,0.32057714,0.32354364,0.3306757,0.3409882,0.3502078,0.35314703,0.34959862,0.34357405,0.33987948,0.34164318,0.34891197,0.3622966,0.38316748,0.4157114,0.45655242,0.49468687,0.50950867,0.49286008,0.45191455,0.4110993,0.38752294,0.38466287,0.390824,0.39457893,0.39177117,0.38596043,0.38187218,0.38155782,0.38434684,0.38945976,0.3938644,0.39387605,0.38503334,0.36947954,0.35274747,0.34242153,0.34248972,0.35622588,0.3862268,0.42809522,0.4678308,0.4837184,0.4655278,0.41852736,0.3648775,0.32658538,0.3222494,0.35370424,0.40631,0.44681445,0.4492755,0.4081045,0.34519628,0.28547093,0.24416089,0.22025214,0.20731781,0.19915038,0.19225095,0.18506664,0.17794196,0.17385697,0.17713754,0.18873328,0.2030973,0.20933634,0.20056526,0.17935945,0.15653402,0.14167029,0.13735688,0.13996448,0.14450769,0.14857207,0.15226828,0.15747882,0.16534354,0.17845355,0.20200467,0.2462012,0.31455097,0.39656138,0.46477184,0.4984003,0.49710527,0.4832681,0.4758569,0.47759166,0.47555265,0.46023893,0.43310606,0.40469956,0.38443282,0.37623075,0.37874544,0.3882053,0.40084958,0.41231427,0.41855255,0.4154779,0.40285996,0.38370058,0.36624873,0.36014923,0.37679064,0.41807136,0.4739881,0.5197939,0.5369241,0.52163064,0.4915531,0.4679494,0.4677796,0.4927647,0.5317959,0.5627758,0.5675191,0.54172075,0.49777496,0.45158434,0.412519,0.38061532,0.3523778,0.3247536,0.29651043,0.2692083,0.24667014,0.23438413,0.23474248,0.24757701,0.26783025,0.29227176,0.31675264,0.3409501,0.35994852,0.36886957,0.36102724,0.33781862,0.30653962,0.27922273,0.26408684,0.26271358,0.26948017,0.27723464,0.28481707,0.30042294,0.33460316,0.3856199,0.4340837,0.453917,0.43398377,0.3844459,0.32730857,0.27751702,0.23913513,0.20861025,0.18342131,0.1621309,0.14510463,0.13261048,0.12689638,0.13076322,0.1476884,0.17500396,0.20462191,0.22341596,0.22664095,0.2178904,0.21030582,0.21557374,0.2447828,0.30092704,0.37435928,0.43908992,0.46718454,0.44895387,0.4002891,0.35217908,0.330544,0.3467923,0.3906035,0.43696752,0.45502678,0.43207023,0.37785292,0.31927976,0.27665707,0.2567353,0.25352022,0.25886402,0.26654294,0.27363423,0.27975523,0.2869719,0.29811525,0.3157101,0.33806738,0.36183742,0.38300285,0.40433726,0.43155456,0.46978593,0.51302296,0.5463774,0.55304694,0.5281543,0.4821118,0.43428394,0.39960566,0.3815081,0.37701043,0.38511455,0.4118637,0.4577962,0.51143163,0.5474358,0.5499665,0.52061415,0.4788626,0.43983495,0.40967903,0.38713053,0.3745252,0.37447676,0.38380703,0.38983116,0.3800756,0.3530604,0.32149252,0.29911184,0.28940043,0.2830319,0.27229556,0.2582618,0.2500963,0.25528744,0.27747035,0.31883106,0.37477192,0.43069395,0.4607402,0.4496582,0.4012667,0.34205654,0.30011812,0.29731598,0.33455417,0.39420065,0.44082078,0.44756043,0.40946457,0.3482186,0.28827795,0.2436552,0.21393217,0.19497468,0.18453483,0.18344289,0.19277585,0.2118056,0.23682313,0.26315773,0.2861325,0.30332193,0.3135511,0.31887886,0.3232287,0.3307688,0.34185115,0.35254368,0.3582227,0.35741118,0.35338244,0.350751,0.35286307,0.35984483,0.37189803,0.39017227,0.41844392,0.45454374,0.48924842,0.5052882,0.4942881,0.46137106,0.425783,0.40308213,0.39754486,0.40099916,0.40336457,0.3999045,0.39302048,0.38756454,0.3860924,0.38777986,0.39064613,0.3934537,0.39421168,0.3908335,0.38127556,0.36802682,0.35494873,0.3487418,0.35458946,0.37916636,0.42003217,0.46488252,0.48987055,0.48080924,0.43980232,0.38788497,0.3471463,0.33474037,0.3547685,0.39757073,0.4379129,0.4495001,0.4212505,0.36567137,0.30532283,0.257291,0.22564203,0.20710237,0.19656847,0.18996473,0.18398798,0.17690057,0.16985841,0.16668426,0.17243075,0.18611157,0.20051837,0.20311134,0.19017303,0.16698027,0.1469558,0.13712418,0.13755456,0.14218599,0.14712639,0.15183125,0.15834402,0.16794628,0.18087654,0.19947596,0.23128922,0.28449067,0.35647357,0.42833066,0.47576714,0.48927143,0.48068258,0.47012433,0.46658394,0.463979,0.45231292,0.4295831,0.4030291,0.3818835,0.37128237,0.37134898,0.3790548,0.390818,0.40202904,0.4088566,0.40742418,0.39774194,0.38170072,0.36605275,0.35873362,0.37064734,0.4063969,0.4595492,0.5091062,0.53349024,0.52498364,0.49526218,0.46604037,0.45459142,0.46780297,0.49745202,0.5258587,0.53088164,0.50365394,0.45052657,0.391095,0.34056917,0.30741706,0.2911168,0.2887574,0.29356232,0.29855314,0.29809186,0.2920266,0.28407493,0.27998653,0.281837,0.28726813,0.2892398,0.28324687,0.2689391,0.25124627,0.23510839,0.22471623,0.2224967,0.22855549,0.23954564,0.24911673,0.25286135,0.2504684,0.24901168,0.25907683,0.29340038,0.35158995,0.41746438,0.4588944,0.45649254,0.41339147,0.35672334,0.3110111,0.28770807,0.28249118,0.2864476,0.29115215,0.29205787,0.28798446,0.28080308,0.27284166,0.265469,0.25798652,0.2492293,0.2395954,0.23193896,0.22900008,0.22980516,0.23273908,0.24108236,0.26756713,0.31820098,0.38263527,0.4289966,0.43417314,0.39598176,0.34164926,0.3014684,0.29959226,0.3361614,0.3928922,0.43502268,0.4387822,0.4017314,0.34625474,0.2950615,0.26027536,0.23974477,0.2284775,0.22294189,0.22221458,0.22521788,0.23035897,0.23552959,0.23927514,0.24104106,0.24251704,0.24785621,0.26362228,0.29576945,0.34487012,0.40149805,0.44640717,0.4590516,0.42978084,0.36775598,0.29533336,0.2349661,0.19695286,0.18144254,0.18624125,0.21580708,0.27250326,0.34730902,0.41321707,0.44399807,0.4300051,0.3859357,0.33464524,0.2939212,0.26984033,0.2610706,0.2620787,0.2658939,0.26659802,0.26172805,0.25264406,0.24299194,0.23681681,0.23639838,0.24098496,0.24683969,0.25001362,0.24864495,0.24575217,0.24881977,0.2688798,0.30995545,0.3629204,0.40345013,0.41136822,0.3827779,0.33618677,0.29689062,0.28734258,0.31466648,0.36813894,0.41889068,0.43806365,0.4146668,0.36334315,0.3093305,0.271912,0.25747117,0.26329935,0.28204063,0.30252135,0.31410185,0.3108477,0.29661074,0.28031936,0.27107677,0.26896885,0.2677906,0.2580687,0.23856162,0.21428321,0.19458018,0.18316005,0.17926045,0.17830294,0.17735064,0.1751477,0.17274915,0.17110825,0.1711474,0.17608152,0.19425736,0.23600025,0.29986477,0.366317,0.40420723,0.39641106,0.3495885,0.2895279,0.23816057,0.20520358,0.18771504,0.17948608,0.1746878,0.17076814,0.16760923,0.16731985,0.1718042,0.18233436,0.19603889,0.20739304,0.20877568,0.19869976,0.18114503,0.16635981,0.16434251,0.18583246,0.23535061,0.30463627,0.36841235,0.39782754,0.3805102,0.32864714,0.27082282,0.23493731,0.24115725,0.2900132,0.36207867,0.41872022,0.43161106,0.3959637,0.3356034,0.27664143,0.23546118,0.2127767,0.20315443,0.19931047,0.19542933,0.18864478,0.18016797,0.17464598,0.17746009,0.18981332,0.20706147,0.21938704,0.22038406,0.21067126,0.19857956,0.19140573,0.19152719,0.19556636,0.19925052,0.20042837,0.20003176,0.20097011,0.20503934,0.21435054,0.23228216,0.26821783,0.32501176,0.39400792,0.44914842,0.47388014,0.46940088,0.45713148,0.44859686,0.43971992,0.41550243,0.37237218,0.31962228,0.27183872,0.23612517,0.21233676,0.19752528,0.19017138,0.18874346,0.19028218,0.1919681,0.1936581,0.19749081,0.20342302,0.2104464,0.22055377,0.24607371,0.2945871,0.35934198,0.40903345,0.41816232,0.3798666,0.31916514,0.2667507,0.25118944,0.27946445,0.34003767,0.40010107,0.4298216,0.41650376,0.3728881,0.31991518,0.27407762,0.24259317,0.22675101,0.22496344,0.23103593,0.23719673,0.23627609,0.22758998,0.2162466,0.21097744,0.21638228,0.23031527,0.24472678,0.2536867,0.25621504,0.25653875,0.2583864,0.26412955,0.2731179,0.28356645,0.29203323,0.29649937,0.2965823,0.2958492,0.30080247,0.32166192,0.36309242,0.41686437,0.4580524,0.4630958,0.42585298,0.36419216,0.30316412,0.26026744,0.23919503,0.23527642,0.2404416,0.24596608,0.24584556,0.2386951,0.22831492,0.21933548,0.21484323,0.21418786,0.21490073,0.2136925,0.20936324,0.2031194,0.20006835,0.2084645,0.23870091,0.29407063,0.3636129,0.42116013,0.44361177,0.42566946,0.38501403,0.3472259,0.33391616,0.35231602,0.3927412,0.4303944,0.4391037,0.40948734,0.35315898,0.29228935,0.24199302,0.20687272,0.18430394,0.17159814,0.1667152,0.16805474,0.17309892,0.17957209,0.18633886,0.19532777,0.20763117,0.22360869,0.2414821,0.26589334,0.30439863,0.36222324,0.42766407,0.47555104,0.48122942,0.4404888,0.3725386,0.3056064,0.25876105,0.23496091,0.23060505,0.24562936,0.28519192,0.34545127,0.40741745,0.4417074,0.43311313,0.38794443,0.33041847,0.28031045,0.24735717,0.22973649,0.22307776,0.22111852,0.21911572,0.21360362,0.20546441,0.19877483,0.20006217,0.21177845,0.23039182,0.24624045,0.25323704,0.251502,0.24842845,0.25244674,0.27261373,0.31419885,0.37164202,0.42530128,0.45011756,0.43539873,0.39073107,0.34148648,0.3112532,0.31691465,0.3560414,0.4100171,0.44486418,0.44003913,0.39558867,0.33536407,0.28150064,0.24863291,0.23862217,0.24810457,0.26720047,0.2837936,0.2880354,0.27918702,0.26446128,0.253997,0.25089344,0.25050655,0.24290122,0.22443181,0.19858609,0.17513351,0.16052717,0.15672976,0.16074878,0.16870485,0.17720656,0.18412034,0.18911898,0.1923086,0.19731683,0.21098553,0.24576628,0.30469224,0.37536046,0.4256488,0.4316928,0.3909978,0.3279716,0.26806656,0.22578724,0.19973503,0.18395291,0.17248984,0.16271298,0.1534735,0.14511906,0.13769476,0.13143341,0.12619421,0.12205055,0.119633995,0.12070782,0.12780769,0.13990767,0.15512542,0.17360409,0.20705573,0.2628141,0.3342683,0.38927984,0.40118197,0.364427,0.306226,0.25996843,0.25318417,0.29060176,0.35672995,0.4159511,0.43720153,0.41019335,0.35362458,0.2935922,0.248165,0.2202471,0.20587891,0.19919068,0.19471562,0.18862247,0.18003404,0.17203511,0.16920687,0.17564636,0.19050981,0.2082678,0.21984245,0.2208289,0.21296598,0.20379491,0.19842179,0.19790308,0.1990586,0.19926745,0.1977966,0.19653605,0.19755618,0.20340459,0.21773998,0.24845119,0.30023828,0.36717847,0.4272853,0.45991877,0.46050975,0.44571057,0.4321549,0.42275608,0.40627742,0.37481952,0.331372,0.28695455,0.25017154,0.22401716,0.20901817,0.20588557,0.21573621,0.23242366,0.24558719,0.24245618,0.22332822,0.19640167,0.1780249,0.17813934,0.20600034,0.2605224,0.3309116,0.38912675,0.40976915,0.3836093,0.3283561,0.2737163,0.24823563,0.26601973,0.3200796,0.3826795,0.41799763,0.40628147,0.35392228,0.2865182,0.2281159,0.1921404,0.18045647,0.18754975,0.201234,0.207241,0.19660556,0.1730723,0.15039857,0.14417188,0.15814616,0.1831607,0.20059945,0.19927143,0.17854744,0.14973499,0.12344378,0.10724207,0.101947345,0.105019696,0.110623784,0.11307035,0.10917736,0.10103079,0.09728709,0.11200894,0.15868564,0.23554265,0.32010695,0.37549987,0.37884858,0.3326902,0.26342967,0.19597392,0.14431633,0.10888552,0.08652351,0.07304453,0.06545551,0.06118651,0.060315933,0.06516542,0.08019861,0.10458497,0.13106017,0.1458009,0.14224623,0.12391033,0.105320446,0.10084075,0.12285605,0.17666988,0.25460115,0.33189926,0.37609017,0.37002242,0.32194513,0.26186594,0.22084199,0.22245173,0.26750967,0.33605063,0.38772687,0.39394596,0.34976268,0.27967662,0.20915562,0.1542953,0.11684384,0.09581101,0.08968779,0.096653424,0.112323605,0.13166545,0.15127002,0.17116535,0.19117689,0.21039283,0.22736226,0.2477266,0.28171346,0.33710685,0.40478262,0.45980144,0.47402513,0.437137,0.362703,0.27853313,0.20794237,0.16061144,0.13796133,0.14187412,0.17892529,0.24650681,0.32716575,0.38714004,0.40387693,0.37639093,0.32818404,0.28060722,0.24348463,0.21403341,0.19021176,0.1726796,0.16185896,0.15450175,0.14711434,0.14053585,0.1405505,0.15195107,0.17262782,0.19318628,0.20446283,0.20530652,0.20245753,0.20629454,0.22479169,0.2651242,0.32424554,0.38759342,0.4254357,0.4181889,0.36528966,0.29328775,0.23318928,0.21277235,0.2392199,0.29952168,0.3585191,0.383813,0.3624796,0.3098364,0.24964504,0.1996203,0.16473414,0.14392804,0.13412768,0.13157828,0.13215142,0.13233304,0.13157822,0.13231702,0.13933086,0.15218733,0.16440421,0.16376449,0.14667343,0.11843041,0.09239668,0.07535153,0.06766632,0.063967034,0.06075858,0.05652908,0.0518451,0.047532845,0.04631668,0.055046875,0.08616518,0.14843191,0.23471846,0.3162968,0.35964438,0.34904578,0.29660228,0.2288592,0.16746813,0.12099362,0.0886604,0.06705565,0.052783832,0.043060426,0.036149666,0.03306392,0.037275676,0.053878184,0.08123127,0.11055046,0.12595223,0.12082379,0.09889623,0.07712621,0.071898244,0.0990025,0.16173947,0.2480549,0.3256569,0.36292902,0.34679893,0.29389757,0.23585862,0.20423019,0.21631344,0.26758996,0.3313031,0.37066364,0.36419812,0.3165659,0.25232965,0.19331868,0.1495504,0.119692534,0.09965401,0.08562562,0.07540779,0.06819507,0.065723956,0.07142068,0.089340664,0.116962545,0.14521466,0.15937042,0.15368311,0.1322177,0.108207196,0.08929839,0.07709231,0.06797221,0.060993355,0.05727285,0.05860256,0.06469584,0.07391117,0.08746886,0.111934714,0.15925871,0.2314552,0.31493452,0.37960806,0.40826127,0.40444866,0.39128742,0.38049316,0.36726782,0.3373796,0.2880471,0.22971256,0.17725718,0.13957348,0.119020194,0.11481681,0.12565495,0.14544225,0.16410345,0.16981912,0.16042441,0.14237742,0.12764663,0.12458607,0.14073503,0.1830839,0.2500146,0.322878,0.36889568,0.36675453,0.3192472,0.255187,0.20720702,0.20377441,0.251366,0.33507922,0.4144988,0.45524144,0.44384393,0.40064177,0.35245743,0.31948635,0.30271408,0.29483965,0.28524828,0.26861128,0.24620076,0.22587,0.21649666,0.22270386,0.24228783,0.26934746,0.29853427,0.32735285,0.35307178,0.37058535,0.37348518,0.35971633,0.33403686,0.3062379,0.28556463,0.2767003,0.27812812,0.28359163,0.28847077,0.2951304,0.31525782,0.35579622,0.40910527,0.44890246,0.45317808,0.4181261,0.36233643,0.30644843,0.2615281,0.22653098,0.19736151,0.17170686,0.15011062,0.1338176,0.12444248,0.12349832,0.13316388,0.15368278,0.18057501,0.20447373,0.2164282,0.2153277,0.20743464,0.20432608,0.2164254,0.25443467,0.31733027,0.39087915,0.44392225,0.45558476,0.42423892,0.37575245,0.33811495,0.33290875,0.35942963,0.4020183,0.43186316,0.42970237,0.3934916,0.3424376,0.297014,0.26938364,0.25832328,0.2584138,0.2640632,0.2723244,0.28117025,0.28999007,0.29926527,0.3105038,0.32510197,0.34198955,0.35941744,0.375597,0.39474082,0.42225876,0.46115077,0.50180155,0.5274393,0.5235076,0.4912909,0.44616172,0.4066833,0.38198164,0.37113938,0.37170258,0.38706383,0.4219408,0.4722729,0.52135235,0.55138516,0.55594724,0.5415156,0.51595384,0.48195758,0.44137123,0.4027226,0.37844816,0.37389526,0.38002336,0.37919942,0.35986888,0.32585117,0.2936464,0.27594778,0.27391872,0.27653894,0.27691242,0.27443826,0.27683273,0.28905407,0.31621027,0.35670242,0.4028497,0.4352753,0.43793216,0.40665913,0.3570478,0.31203642,0.29374096,0.31337902,0.36484006,0.4235952,0.45656088,0.44590434,0.3976697,0.3359147,0.28047276,0.23960811,0.21143536,0.19322938,0.1839634,0.18472548,0.19600005,0.21677835,0.24270475,0.26966932,0.29280686,0.31058708,0.3209126,0.32682073,0.33145863,0.3395373,0.34962878,0.35785064,0.35989204,0.35629907,0.35132203,0.349368,0.3526865,0.3606541,0.3735992,0.392971,0.4225752,0.45879534,0.4917318,0.503743,0.4894271,0.45524183,0.42171213,0.4017527,0.398177,0.40131378,0.40228447,0.39785585,0.39144507,0.38740525,0.38753128,0.3909161,0.3963519,0.4004556,0.39948273,0.38942957,0.37315056,0.35640535,0.3465272,0.34709504,0.36171114,0.3929454,0.43557623,0.47395906,0.48646984,0.46494803,0.41724765,0.36553273,0.32952073,0.32540086,0.3548311,0.4047039,0.44341156,0.4455891,0.40525416,0.34358191,0.28459683,0.24302278,0.2176072,0.2026956,0.19302364,0.18615903,0.18038125,0.17524321,0.17240864,0.17586087,0.18681969,0.20071135,0.20704822,0.1992709,0.17957193,0.15849306,0.14477636,0.14061685,0.14227647,0.14559244,0.14914735,0.15378882,0.16116625,0.17122799,0.1851749,0.20731656,0.24828954,0.31223485,0.3899138,0.4547398,0.4877683,0.48878098,0.47865045,0.47269082,0.4721364,0.4656303,0.44733164,0.4203231,0.39411974,0.375833,0.36873165,0.3722172,0.38387987,0.39985934,0.4148643,0.42361382,0.4221402,0.41092423,0.39338765,0.37727854,0.37164393,0.3883213,0.42953956,0.4852582,0.52947617,0.543706,0.52489847,0.49254605,0.46839175,0.46942112,0.49627066,0.53704345,0.5684219,0.5709223,0.5387082,0.4842991,0.4265484,0.3801963,0.3494517,0.3311033,0.31810808,0.30393708,0.28577736,0.26569542,0.24989806,0.24389613,0.25131658,0.26983082,0.2962351,0.32426953,0.35105863,0.37068236,0.37911066,0.3712794,0.34912574,0.31903937,0.29145196,0.27408922,0.2693359,0.27313823,0.27943265,0.28726372,0.3042455,0.3394812,0.39002287,0.43600705,0.45279709,0.4309772,0.3818303,0.32669514,0.27936414,0.2429834,0.213953,0.18991469,0.16942652,0.15232255,0.13849308,0.13038935,0.13182382,0.14687358,0.17221306,0.197951,0.20973837,0.20348895,0.1851594,0.17041878,0.17238931,0.20244344,0.26300594,0.3435594,0.41666064,0.45324263,0.44268218,0.4010197,0.3592478,0.3432075,0.363225,0.40809116,0.4527004,0.46778592,0.44293723,0.38937917,0.33348846,0.2934387,0.27408922,0.26904556,0.27138376,0.27619782,0.28107405,0.28512713,0.2899029,0.29821268,0.3130754,0.3330871,0.35439897,0.37192047,0.38807854,0.4098424,0.44469163,0.48783,0.5239447,0.5352079,0.5171793,0.4811288,0.44568822,0.42198908,0.40915892,0.40239725,0.40340292,0.42300728,0.4657584,0.5210066,0.5616289,0.568625,0.5405877,0.4959621,0.4523531,0.42130318,0.40666005,0.41065922,0.4303949,0.45517933,0.46980393,0.46462584,0.4415793,0.41147152,0.38256216,0.3571974,0.3325769,0.31103688,0.29764056,0.29719818,0.30805805,0.32800713,0.35939935,0.40288284,0.44907895,0.47481415,0.46411228,0.41875467,0.36339757,0.32475093,0.32379708,0.35993624,0.41644576,0.4594208,0.4650813,0.4267546,0.36385548,0.29828578,0.24729122,0.21367808,0.19497661,0.1859789,0.18475716,0.19159627,0.20765589,0.23115595,0.2580756,0.28316897,0.30316934,0.3162824,0.32400206,0.32948455,0.33653525,0.345843,0.35484645,0.3600416,0.36027446,0.35776767,0.35601696,0.35785905,0.36414668,0.37598613,0.39546382,0.426932,0.46940747,0.5136462,0.54099816,0.5389171,0.509321,0.46986535,0.43810368,0.4211228,0.4138547,0.40813497,0.40001395,0.39178738,0.3876255,0.39011768,0.3982415,0.40987945,0.4218067,0.43042293,0.4320902,0.4260207,0.4161446,0.40807447,0.40756536,0.41809687,0.4442942,0.48478118,0.5307664,0.5631127,0.5688558,0.54698235,0.512776,0.48387924,0.47552922,0.49167514,0.52528995,0.5574668,0.57078224,0.5592045,0.5328548,0.5064537,0.48971748,0.48295534,0.48116145,0.4780941,0.46929857,0.4540116,0.43623695,0.4231516,0.4205868,0.42861843,0.43994462,0.44699004,0.44625595,0.44308552,0.44155565,0.44327727,0.44261503,0.43713924,0.42662024,0.41668466,0.4112842,0.41315845,0.42008886,0.43007255,0.44349396,0.46627036,0.5022658,0.5452505,0.5774452,0.58287,0.56182545,0.5314543,0.50964224,0.5003386,0.49327633,0.47746965,0.45078173,0.42049727,0.3955082,0.38121688,0.37842104,0.3848212,0.39725688,0.41053453,0.41972974,0.41947076,0.40975574,0.39323536,0.37760937,0.3701055,0.38020125,0.41190967,0.4600885,0.5061613,0.53002864,0.52376705,0.4972949,0.47068426,0.46058023,0.4750116,0.507829,0.5430574,0.5582631,0.5426125,0.50054425,0.4509783,0.40859807,0.37914395,0.35770467,0.33804622,0.3148181,0.28721038,0.25851598,0.23655055,0.22854535,0.23781376,0.25964642,0.28691623,0.312856,0.33674553,0.35730425,0.37149942,0.3723016,0.357016,0.32971212,0.3009775,0.28083888,0.2737777,0.2770634,0.28328237,0.28848842,0.29679564,0.32162917,0.3682194,0.4253174,0.46265456,0.45955494,0.41647318,0.3570911,0.30217227,0.26052627,0.22810918,0.20036356,0.17510362,0.15328403,0.13606285,0.12604801,0.1259539,0.13902384,0.16346754,0.19228782,0.21361871,0.22128119,0.2173928,0.21197279,0.21535903,0.23639922,0.28209603,0.3490028,0.4198586,0.46430436,0.46459854,0.42474744,0.37318018,0.33854643,0.34038433,0.3764542,0.42835236,0.4643019,0.46216238,0.41940853,0.35780546,0.30212134,0.2680819,0.255258,0.2564815,0.26377693,0.27300763,0.28235433,0.2921524,0.3029072,0.3156257,0.3292395,0.3418418,0.35217777,0.36433825,0.38716677,0.4274532,0.480554,0.5279655,0.54813933,0.53130525,0.48692703,0.43572843,0.3957518,0.37313953,0.36563957,0.3713127,0.39450943,0.43809393,0.49350396,0.5374245,0.54882246,0.5245772,0.482411,0.44230378,0.41276374,0.39041933,0.3729227,0.36332968,0.36474785,0.37087002,0.36862525,0.34962037,0.31927565,0.29311788,0.2810084,0.28030625,0.27821207,0.26869047,0.25470677,0.24855061,0.25947186,0.29479602,0.3507224,0.41343307,0.4562082,0.45967817,0.42204532,0.36521056,0.31752148,0.30275428,0.3275678,0.3795091,0.42828742,0.44364035,0.41399303,0.35376346,0.2886801,0.23706853,0.202659,0.18051495,0.16628534,0.15946324,0.16259564,0.17711712,0.20157991,0.23073725,0.26017955,0.28578442,0.30654362,0.3198965,0.32777148,0.3325689,0.33967292,0.34896597,0.35801208,0.36256337,0.36218247,0.3593551,0.3576814,0.35994354,0.36780512,0.38368928,0.41061342,0.4498482,0.4940605,0.5272011,0.53127724,0.5025262,0.45470092,0.41165137,0.3885028,0.38490793,0.38931814,0.39117527,0.38801804,0.3831977,0.38058975,0.3808649,0.3830104,0.38651493,0.38928127,0.38860294,0.3806921,0.3676478,0.35374156,0.34611323,0.34947097,0.36982444,0.40869415,0.4579012,0.49690542,0.50468373,0.47587898,0.42404902,0.3732351,0.34360424,0.3476125,0.38229337,0.42966893,0.45872864,0.44879043,0.40038887,0.33646074,0.27974036,0.24183726,0.22052938,0.20927204,0.20215581,0.19551861,0.1877638,0.17992522,0.17581214,0.18042792,0.19333948,0.20758776,0.21096903,0.19882943,0.17560063,0.15375926,0.14092189,0.13822693,0.14081508,0.14466985,0.14810415,0.15198529,0.1581701,0.16774552,0.18310374,0.20922168,0.25620028,0.3265109,0.408865,0.4748908,0.50522417,0.50052184,0.48368287,0.47262347,0.47060475,0.4672983,0.4553194,0.43519172,0.41326275,0.39554474,0.3859369,0.38584033,0.3945292,0.40753138,0.4184269,0.4203459,0.41130698,0.39352778,0.37308002,0.35729787,0.35519195,0.37722504,0.4243954,0.48472962,0.5307653,0.5441778,0.52288467,0.4884405,0.46333075,0.46449956,0.48900154,0.5211418,0.53440046,0.51265854,0.455832,0.38268015,0.31247118,0.25878757,0.22488461,0.2089593,0.20374186,0.19974564,0.18953115,0.17265141,0.15562588,0.14773725,0.15517856,0.17563416,0.19827057,0.20886588,0.2002606,0.17557459,0.14586823,0.12108708,0.106344886,0.10097993,0.10155613,0.10387344,0.104798496,0.10278655,0.100587904,0.106554024,0.13533753,0.19479461,0.27590874,0.34734416,0.37808987,0.3559452,0.29724532,0.22787793,0.16775268,0.12287887,0.09225724,0.07306092,0.06292923,0.05930385,0.059569284,0.06316226,0.0725458,0.09319213,0.12542322,0.1621685,0.18833984,0.1959973,0.18710865,0.17688924,0.18061338,0.21193135,0.26996014,0.33941874,0.3895749,0.39792752,0.3619994,0.30307806,0.24492116,0.20177455,0.17410626,0.1567142,0.14351405,0.13045211,0.11599735,0.10116264,0.08798018,0.07804429,0.07184025,0.06970921,0.07231792,0.080464646,0.09353172,0.10917465,0.12389215,0.13509925,0.14228515,0.14796384,0.15780039,0.17976922,0.22166021,0.28576574,0.36410865,0.43592414,0.47491452,0.46248305,0.40127763,0.31426272,0.23096953,0.17079425,0.13706212,0.123923846,0.12527043,0.14092064,0.1708375,0.2107805,0.24774916,0.27034572,0.27419925,0.2649538,0.24843787,0.22754343,0.20287639,0.17697161,0.15333499,0.13371032,0.11814711,0.106833436,0.101522826,0.10391584,0.11356654,0.12743734,0.14150812,0.1539525,0.16563396,0.17797701,0.18955933,0.19587998,0.19304152,0.18081766,0.1630943,0.14445712,0.12788235,0.11413855,0.1033533,0.09603972,0.09280783,0.093290694,0.09588891,0.098540865,0.09998542,0.09962986,0.09733596,0.093018144,0.08747387,0.082163215,0.07850311,0.076629706,0.07559999,0.07438215,0.07276461,0.07125578,0.070311375,0.069899015,0.06942565,0.06827203,0.06594655,0.062391553,0.05780953,0.052788448,0.047900956,0.043500558,0.03955782,0.036016647,0.033061396,0.0309878,0.029949456,0.029910171,0.030756166,0.032308757,0.034073856,0.03547452,0.03603923,0.035728436,0.03469427,0.033181477,0.031465504,0.029793756,0.02834108,0.027047448,0.025807753,0.024569964,0.023532875,0.023058264,0.023389904,0.024362473,0.025404714,0.026113847,0.02674993,0.028183887,0.031192577,0.035717905,0.04088618,0.04542895,0.048436623,0.04944278,0.04858059,0.04641813,0.044125196,0.04308067,0.044234823,0.04745687,0.051578026,0.055252522,0.0576224,0.058701456,0.058953565,0.05926773,0.060552508,0.06362072,0.06842267,0.07388388,0.078103505,0.07951977,0.07790568,0.07462066,0.071693964,0.070592396,0.07157999,0.073987,0.076851755,0.079278596,0.08065104,0.080647886,0.079443984,0.07730338,0.07431994,0.07022896,0.065231495,0.06059357,0.058654297,0.0614219,0.06909083,0.07927909,0.08816432,0.092820644,0.093776084,0.095742576,0.10612062,0.13166031,0.17510481,0.23221214,0.2903921,0.33148053,0.3398237,0.3121024,0.25971267,0.20155889,0.15279664,0.11963879,0.10136292,0.09422196,0.09350458,0.09404626,0.092231385,0.087218076,0.0807805,0.07463455,0.069376916,0.06478436,0.061689198,0.061534476,0.06498154,0.07031861,0.07442679,0.074925475,0.07168261,0.06644423,0.06088775,0.05540292,0.049183786,0.042104796,0.035955552,0.0339087,0.037629377,0.04507136,0.05119813,0.051871244,0.04706719,0.040410075,0.03562567,0.033541184,0.032465477,0.030622253,0.028066931,0.026140235,0.025799556,0.026557498,0.027076952,0.026423158,0.024765037,0.022878742,0.02128034,0.01977458,0.01799149,0.016091486,0.014866401,0.01504181,0.016467692,0.018214295,0.019278297,0.019396022,0.019031424,0.01882668,0.019008977,0.019347554,0.019496894,0.019382795,0.019171031,0.01921413,0.01977151,0.021063043,0.02305838,0.025649047,0.02860578,0.031815182,0.03523238,0.0389273,0.042950362,0.047249287,0.051623728,0.055830028,0.059820965,0.06392355,0.068754226,0.07481396,0.08185855,0.08861115,0.09305102,0.09356159,0.09011497,0.08483014,0.081055135,0.08155557,0.08677054,0.09450891,0.101162046,0.10365782,0.10078108,0.09327579,0.083119415,0.07257541,0.063524164,0.05697107,0.052961156,0.050754827,0.04930048,0.047794614,0.04621275,0.045320317,0.04594333,0.04799527,0.050435007,0.0521443,0.052903812,0.05324292,0.0538125,0.054744203,0.05561306,0.055414125,0.05301426,0.04785933,0.040748563,0.033508062,0.027940722,0.024618628,0.022894183,0.021545472,0.019861316,0.017768202,0.01564723,0.013689519,0.012003045,0.010676502,0.009973691,0.009954662,0.010360588,0.010626501,0.010344948,0.00954268,0.0087340055,0.008440377,0.008701337,0.009010948,0.008857847,0.008296507,0.0077735074,0.0075937076,0.007521413,0.00721815,0.0066278665,0.0060367114,0.0056272484,0.00529947,0.0048856935,0.004426352,0.0042189187,0.0045102197,0.0052767214,0.0061352234,0.006617604,0.0064746104,0.005891729,0.005271368,0.004903686,0.004742099,0.004594457,0.004349898,0.00404695,0.0037134385,0.0033068454,0.0028398165,0.0024647352,0.0023730688,0.002555796,0.0027855614,0.0027911628,0.0025009783,0.002057232,0.0016807811,0.0015069577,0.0015453851,0.0017242652,0.0019434938,0.0021112717,0.0021690882,0.0021188932,0.0020212915,0.0019457494,0.0019248946,0.0019296133,0.0019087048,0.0018162373,0.0016411258,0.0014017388,0.0011420712,0.0009129609,0.000747682,0.0006524462,0.00060154876,0.00056231633,0.00050067616,0.0004113218,0.00031067283,0.00024652955,0.00025982922,0.00036880327,0.00054001104,0.0007106231,0.00082177826,0.00085917645,0.0008481059,0.00082218443,0.00079577864,0.0007770732,0.0007826852,0.00083488115,0.0009255114,0.0010184824,0.0010757929,0.0010987223,0.0011070879,0.0011029026,0.0010483781,0.00090838544,0.0006979629,0.00049487624,0.00039318038]