[0.047684047,0.06711721,0.108653314,0.15718293,0.19726719,0.21986143,0.22609866,0.22274019,0.21645533,0.20985334,0.20285095,0.19508676,0.18734533,0.1808315,0.1760338,0.17220329,0.16818462,0.16323881,0.15770479,0.15228434,0.14759733,0.14350797,0.13967645,0.13576223,0.13200176,0.12872042,0.12627988,0.12456501,0.123568565,0.1230739,0.12306423,0.12301201,0.12277016,0.12226678,0.12213737,0.12261661,0.12381685,0.1252498,0.12656343,0.1273365,0.12751716,0.12728544,0.12721913,0.12806337,0.13023932,0.13347565,0.13656896,0.13827638,0.13781933,0.13541268,0.13159437,0.12697488,0.121738285,0.11565233,0.10814927,0.09931528,0.09106832,0.087239735,0.09123289,0.10305822,0.11834211,0.13126779,0.13827653,0.13975306,0.13832913,0.13643318,0.13529532,0.13484126,0.13463789,0.13394938,0.13271691,0.13115864,0.12995943,0.1294301,0.12969764,0.13034767,0.13078831,0.13030545,0.12870057,0.12626497,0.123699956,0.12153088,0.12012533,0.119729936,0.12068241,0.12294372,0.12583008,0.12810807,0.12899464,0.12869406,0.12827452,0.12859581,0.12979956,0.13120677,0.13209605,0.13197105,0.13087775,0.12894857,0.12648262,0.12372167,0.12117249,0.11927538,0.11844119,0.11859696,0.11947956,0.12051668,0.121391006,0.121837296,0.12193686,0.12163965,0.12087902,0.119259775,0.11672252,0.11404797,0.113428384,0.1171698,0.12611663,0.13822538,0.14998828,0.15822951,0.16198905,0.16185583,0.15917522,0.15497442,0.15014553,0.14540863,0.14144997,0.13858938,0.13690543,0.1361683,0.13608511,0.13610332,0.13566291,0.1344565,0.13280885,0.13147466,0.13093692,0.13099903,0.13079579,0.12950894,0.12691762,0.12370249,0.12119127,0.120419234,0.121473975,0.123273276,0.124566436,0.12469762,0.12392671,0.12299354,0.12253202,0.122799136,0.12349958,0.124147005,0.12442661,0.12444561,0.12464736,0.1251092,0.12562971,0.12540747,0.124272116,0.12231917,0.12053088,0.11936495,0.11915196,0.11941525,0.11986055,0.12002448,0.119878404,0.11934505,0.11857007,0.11746336,0.11594906,0.11391463,0.11159334,0.10944051,0.108042665,0.1076555,0.10813139,0.108729124,0.1085956,0.106903456,0.10350878,0.098984815,0.09484295,0.09298444,0.09450381,0.09897668,0.10424331,0.108417295,0.11066037,0.111758836,0.11253638,0.11337859,0.11407707,0.11443159,0.11444676,0.114206515,0.113884114,0.11375832,0.1141584,0.11512691,0.116253436,0.11684933,0.11663536,0.11589134,0.11527261,0.115042366,0.1150277,0.11493685,0.11473527,0.11471778,0.11522901,0.11668674,0.1193187,0.12286416,0.12638497,0.12860411,0.1288681,0.12742029,0.1252196,0.12302786,0.121170186,0.11961795,0.11813998,0.116535686,0.11472287,0.11377045,0.11565703,0.122469686,0.13397397,0.14736526,0.15859665,0.16517653,0.16701132,0.16559671,0.16251373,0.15873164,0.1547312,0.15077299,0.14725637,0.1446322,0.14317067,0.14241149,0.14142905,0.13931668,0.13603343,0.13203986,0.12804541,0.12425899,0.120907485,0.118045986,0.11593684,0.1143801,0.11327585,0.11265988,0.11332934,0.11573785,0.119455956,0.12276206,0.12422625,0.12359122,0.12191575,0.12018993,0.11861461,0.1167219,0.11419836,0.11130554,0.10867262,0.10694596,0.10664966,0.10820972,0.11168394,0.116330154,0.12071829,0.12350746,0.12430572,0.12362928,0.12226969,0.12063461,0.1186515,0.1156151,0.11065176,0.103259176,0.095199026,0.089783035,0.0906113,0.09746036,0.107052125,0.11453808,0.11800015,0.11803315,0.11675054,0.115266085,0.113859266,0.11235621,0.11077497,0.10941088,0.10880196,0.109465964,0.11133207,0.11364654,0.11526889,0.11555191,0.1145236,0.11291232,0.11133024,0.110078536,0.108937114,0.10786464,0.10725015,0.10810968,0.111362725,0.11703161,0.12373119,0.12927033,0.13216662,0.13247734,0.13160267,0.13073789,0.1303036,0.12989299,0.12929685,0.12853278,0.12784253,0.12710513,0.12616327,0.12492635,0.12373197,0.12290096,0.12247246,0.12206411,0.12131712,0.12045904,0.12009861,0.120690964,0.12172698,0.12215177,0.1209899,0.11828027,0.11516431,0.11372211,0.11591797,0.122401655,0.1316489,0.14085382,0.14750996,0.15079115,0.15124919,0.15003198,0.14801508,0.1457033,0.14334565,0.1411535,0.1393482,0.1380734,0.13734658,0.13722432,0.13772951,0.1388265,0.13998558,0.1405924,0.14017193,0.13905914,0.13800783,0.13785218,0.1387016,0.14009714,0.14123957,0.1417657,0.14155938,0.14069884,0.13890709,0.13600005,0.1320789,0.12794913,0.12459144,0.12273306,0.12238648,0.123254746,0.12475894,0.12653707,0.12815513,0.12975442,0.13136853,0.13294256,0.13369386,0.13298629,0.13078123,0.12787308,0.12528844,0.12371374,0.12334463,0.12393674,0.12495495,0.12576346,0.12588434,0.12521721,0.12397767,0.12249038,0.12101538,0.119752586,0.11881545,0.11818596,0.117671154,0.11705003,0.11621413,0.115179665,0.113782816,0.11193109,0.10970497,0.10853807,0.1100359,0.11536946,0.12281054,0.1294383,0.13369925,0.13889043,0.15283412,0.18146123,0.22362046,0.26784733,0.3007793,0.31405094,0.3096347,0.2946764,0.2759338,0.2572741,0.24088855,0.22924197,0.22349238,0.22280794,0.22495212,0.2283708,0.23332672,0.24044591,0.25014257,0.26148283,0.27373257,0.28601375,0.2979813,0.3084346,0.3157078,0.31850478,0.31671822,0.3118198,0.30519024,0.2986121,0.29304072,0.28906187,0.28565,0.28217867,0.27973452,0.2818103,0.29004923,0.30212197,0.3114618,0.31415403,0.31067657,0.30605415,0.3033937,0.30281603,0.30166128,0.29791608,0.2918768,0.28631413,0.28543094,0.2910285,0.30090344,0.30891326,0.3105959,0.30595905,0.29964125,0.2958201,0.29546276,0.29631615,0.29564464,0.29199123,0.28588298,0.2800672,0.27881828,0.28501436,0.2969568,0.3083742,0.31318557,0.3101648,0.30344072,0.29813132,0.29651025,0.29726815,0.29819763,0.29814735,0.29735124,0.29662383,0.29705307,0.30033,0.3072759,0.31689882,0.325833,0.33130535,0.33273888,0.3321981,0.331937,0.3328233,0.33357015,0.33163694,0.32419255,0.30994844,0.2900391,0.26885772,0.2522851,0.24532044,0.24869299,0.258464,0.26864508,0.2755451,0.27960277,0.28308788,0.28705138,0.29025558,0.29150137,0.29084912,0.28963554,0.2883856,0.28708038,0.28579286,0.28605154,0.2892435,0.2952092,0.3014791,0.30574414,0.30777344,0.30986914,0.31419528,0.3209393,0.32791042,0.3328868,0.33469892,0.33342746,0.3286824,0.3199049,0.30733764,0.29351333,0.282002,0.2753712,0.2735094,0.2747973,0.27713844,0.2793627,0.28040197,0.28074637,0.2819442,0.2872305,0.29821864,0.3135608,0.32734063,0.33156136,0.31975654,0.29199716,0.25702348,0.22981839,0.22330464,0.24122007,0.2750496,0.31145033,0.33916703,0.35505775,0.36044267,0.35826862,0.34985211,0.33655533,0.32076454,0.30623412,0.29652166,0.2928726,0.29425633,0.29757103,0.30074683,0.30173597,0.30000898,0.29359627,0.28283554,0.2699561,0.26142618,0.26238546,0.27441633,0.29359496,0.31444398,0.3324877,0.3456656,0.35331562,0.35482493,0.34885713,0.33318046,0.3065207,0.27052498,0.23105246,0.19593899,0.17102794,0.15736587,0.15148124,0.1488863,0.14625241,0.1428902,0.13931847,0.13674654,0.1355225,0.13515826,0.1346134,0.13349883,0.13279657,0.13374178,0.136778,0.14043064,0.14295335,0.14318447,0.1417623,0.13998102,0.13951145,0.14162938,0.14761384,0.15826547,0.17358105,0.19209558,0.21142417,0.22911038,0.2438649,0.25529492,0.26370704,0.2688799,0.27037176,0.26688954,0.2571548,0.2399696,0.21600161,0.18897158,0.1661741,0.15617006,0.1636495,0.18614064,0.21434999,0.23951353,0.25811872,0.2737042,0.29080424,0.31194842,0.3357478,0.35968283,0.38074493,0.39618337,0.40351596,0.40089047,0.38831678,0.36754537,0.34263048,0.31811216,0.29803297,0.28465876,0.27807653,0.2769158,0.27818254,0.27942583,0.27890277,0.27689043,0.27525714,0.27730516,0.28704086,0.3051736,0.32761547,0.34563935,0.35302827,0.34976184,0.3422396,0.33719763,0.33733967,0.3396765,0.3380479,0.32801634,0.310526,0.29311588,0.28399387,0.28793415,0.30163565,0.3183818,0.330747,0.3368241,0.3381579,0.33821782,0.3377541,0.33645168,0.33368874,0.32991144,0.3238158,0.31319845,0.2961628,0.27482766,0.25385508,0.23918027,0.23455274,0.2407874,0.25466633,0.27065313,0.2838675,0.29268017,0.29833248,0.30230966,0.30467728,0.3049705,0.30365697,0.30288294,0.3045856,0.30935684,0.3155398,0.32140422,0.32611468,0.33072278,0.3364959,0.34441745,0.35461703,0.36714628,0.38182858,0.39770222,0.41256037,0.42373887,0.43005586,0.43233,0.43216625,0.42919543,0.4205699,0.40194973,0.370832,0.32842204,0.28062135,0.23536335,0.19902694,0.17456204,0.16280876,0.16639413,0.1871864,0.22355676,0.2653525,0.30134574,0.32387933,0.3348205,0.3390356,0.34128347,0.3424686,0.34243265,0.3403976,0.33593297,0.32861623,0.3194715,0.31157747,0.30873743,0.31268337,0.32090703,0.329181,0.33413824,0.33616745,0.33722052,0.339645,0.34419212,0.3505197,0.3571606,0.36196682,0.36294147,0.35925713,0.35199574,0.3434814,0.3359489,0.33104464,0.3299781,0.3342754,0.34481713,0.36014232,0.37452617,0.37865517,0.36485937,0.33306214,0.29372934,0.26134732,0.24673058,0.25058585,0.26662537,0.2850602,0.29862463,0.30362567,0.30128053,0.29487345,0.28766933,0.2813753,0.27662504,0.27430245,0.27528134,0.27971813,0.28564706,0.28888354,0.28527573,0.27326426,0.25624976,0.23979087,0.22845536,0.22210096,0.21790911,0.21284826,0.20662193,0.2005982,0.19634713,0.19408274,0.19271499,0.19047272,0.18583123,0.17848782,0.16974013,0.16173084,0.15630239,0.15359096,0.15256022,0.15151545,0.14995742,0.14820744,0.14737815,0.1478508,0.14937258,0.15097053,0.15175901,0.15137112,0.15003198,0.14842583,0.14712368,0.1464551,0.14624555,0.1459497,0.14503996,0.14343293,0.14176847,0.14097251,0.14165486,0.14356977,0.14558683,0.1463222,0.14497429,0.14178057,0.13781999,0.13424121,0.1317873,0.1306029,0.13044316,0.13107128,0.13238876,0.13498847,0.14021099,0.15021734,0.16648817,0.18814288,0.21099226,0.22927018,0.23874821,0.23896497,0.23239112,0.22184289,0.20838924,0.19240205,0.17600049,0.16437191,0.16300301,0.17298944,0.18950357,0.2049892,0.21548657,0.22229017,0.2300521,0.24193013,0.2581303,0.2764125,0.29367924,0.30739698,0.31609598,0.31998518,0.31994325,0.3159845,0.30699912,0.29166472,0.2715199,0.25066352,0.23470797,0.22726773,0.22926264,0.23921041,0.25444028,0.2721106,0.28892592,0.3023858,0.31018355,0.31232142,0.30926737,0.30351582,0.29646942,0.2903938,0.28613177,0.28465834,0.28511164,0.2852219,0.2814791,0.2705845,0.2520993,0.2294861,0.21027784,0.20254527,0.2110257,0.23388018,0.2636919,0.29160845,0.31236592,0.3260843,0.3366382,0.34763077,0.36001673,0.37168887,0.3801638,0.38453636,0.3860885,0.3861393,0.38476527,0.38114843,0.375659,0.37024918,0.36715063,0.3662672,0.3651471,0.3605487,0.35185638,0.34129405,0.33232608,0.3263211,0.32227895,0.31897783,0.3164899,0.31607953,0.31754255,0.31987453,0.32163283,0.32286182,0.32371846,0.32446274,0.32476094,0.3244587,0.32297632,0.31957802,0.31348455,0.3049291,0.2954065,0.2870972,0.28187558,0.2798774,0.2801136,0.2808304,0.2816478,0.28290758,0.28572893,0.28984365,0.29398835,0.29579428,0.29407573,0.28961846,0.2862221,0.288674,0.3002062,0.31897068,0.3380784,0.3487817,0.34657454,0.33434072,0.32075378,0.31363416,0.31521273,0.32168975,0.32827476,0.33260927,0.3356223,0.33859393,0.34188676,0.34447894,0.34539244,0.34403253,0.34082624,0.33684993,0.33351186,0.33182812,0.33203647,0.33402276,0.33720282,0.3409592,0.34372345,0.34457245,0.34310195,0.3411051,0.33932543,0.3376741,0.3331679,0.32414624,0.3100455,0.29348132,0.27673182,0.2618017,0.2487552,0.23814546,0.23058309,0.2279313,0.23024233,0.23676635,0.24439824,0.25181457,0.2579871,0.2639215,0.26959696,0.27504638,0.27893552,0.2788175,0.2714114,0.25480738,0.23055233,0.20462741,0.18448077,0.1763999,0.18030803,0.19146763,0.2021724,0.2083119,0.20945847,0.2081498,0.20631711,0.20467986,0.20312266,0.2015068,0.20001732,0.19878191,0.19742312,0.19511534,0.19126636,0.1866262,0.18287875,0.18165128,0.18296659,0.18539272,0.1868558,0.18614948,0.18350808,0.1803111,0.17795908,0.1770243,0.17675489,0.17590313,0.17322932,0.16912061,0.16466843,0.16171265,0.16057475,0.16074277,0.16045855,0.15846165,0.1543753,0.14911574,0.14447118,0.14201666,0.14279519,0.14635359,0.15114772,0.15488912,0.15613683,0.15485674,0.15206386,0.14858596,0.1446724,0.14027894,0.13583253,0.13177276,0.12857091,0.12612353,0.12447948,0.12346978,0.1230933,0.12316573,0.12355188,0.12394822,0.123935014,0.123139024,0.12161847,0.11983443,0.118316315,0.11703951,0.115680866,0.11441183,0.114999056,0.120080836,0.13122784,0.14641488,0.16061342,0.16819005,0.1667646,0.15792173,0.14642264,0.13727641,0.134291,0.13927238,0.15274125,0.17404081,0.20062612,0.22776766,0.24974747,0.26321736,0.26858458,0.2695762,0.26960698,0.2695893,0.2663069,0.25449827,0.23010783,0.1951278,0.15887147,0.13480325,0.13265438,0.15206988,0.18283446,0.21203162,0.23239417,0.24384578,0.2499821,0.25278303,0.25278214,0.25035876,0.24735151,0.24539487,0.24486227,0.24504249,0.24614517,0.2502654,0.26002133,0.27539155,0.2931445,0.30927262,0.32332444,0.33828518,0.35733423,0.37927094,0.39917004,0.41158244,0.4143237,0.4077618,0.39298955,0.3702959,0.34040642,0.30624387,0.27314273,0.24748755,0.2328806,0.22938818,0.23395497,0.24453337,0.25923163,0.27547613,0.2879968,0.29286528,0.2896187,0.28157458,0.27152923,0.2601217,0.24645422,0.23142086,0.21842551,0.21196103,0.21264511,0.21639784,0.21672614,0.21229865,0.20736492,0.20849997,0.2172178,0.23096023,0.24603724,0.26126936,0.27604762,0.28953013,0.30089572,0.31102845,0.32086888,0.3313773,0.34178117,0.35259652,0.36205748,0.36951172,0.37247944,0.3721713,0.3684545,0.36229703,0.3518641,0.3379775,0.3222631,0.30905333,0.30060136,0.29779676,0.29905674,0.30374277,0.31227133,0.3262163,0.3451909,0.36586297,0.38217795,0.38915595,0.385662,0.3762376,0.36797953,0.36632827,0.37053254,0.37519825,0.3745533,0.36816397,0.36071452,0.35911155,0.36666584,0.38084936,0.39388123,0.39780256,0.3899045,0.37396112,0.35770592,0.34694445,0.34417358,0.3479755,0.35522485,0.3606677,0.35865834,0.34551695,0.32306084,0.29822662,0.2798853,0.27281797,0.27613065,0.2835646,0.28961858,0.29104027,0.28894457,0.2845681,0.27995443,0.27508676,0.2702545,0.26396385,0.25654462,0.24912024,0.24524124,0.24676597,0.2532824,0.26125872,0.26728666,0.26947907,0.26775765,0.26223007,0.25304303,0.24109852,0.22888438,0.21905594,0.21293592,0.20962478,0.20738779,0.2047044,0.2010697,0.19664653,0.1922754,0.18903828,0.18785284,0.18865967,0.19037662,0.19138159,0.19078852,0.18898767,0.18738776,0.1871543,0.18826866,0.18963291,0.18970342,0.18793605,0.18465178,0.18128836,0.17874151,0.17754693,0.17714918,0.17687361,0.17611772,0.17486054,0.17366405,0.17292273,0.17285608,0.17320351,0.17380345,0.17430687,0.17429213,0.17351079,0.17224081,0.17116827,0.17065074,0.17037828,0.16964488,0.16796039,0.1654648,0.1630467,0.16234358,0.16507101,0.17193682,0.18162791,0.19147234,0.19884466,0.20263614,0.20308952,0.20125775,0.19823593,0.19501765,0.19223286,0.1900894,0.18852855,0.18748243,0.18721868,0.1878178,0.18911274,0.19014353,0.19020365,0.18890725,0.18692905,0.18498366,0.18369065,0.1829061,0.18228932,0.18196483,0.18461002,0.19644944,0.2256303,0.2743602,0.33308908,0.38071442,0.3982109,0.38102505,0.34563318,0.3199263,0.32754004,0.3704789,0.42547905,0.45711386,0.44248596,0.38532916,0.31012985,0.24204706,0.19309916,0.16130386,0.13951409,0.124058776,0.11839626,0.129465,0.15924998,0.19911839,0.2335823,0.25108767,0.25279588,0.25164357,0.2651436,0.30322906,0.36213264,0.42267355,0.46405253,0.47521675,0.46251798,0.43960163,0.41821083,0.40209436,0.39086077,0.383425,0.3794535,0.37820122,0.37764707,0.37523937,0.36972138,0.36231086,0.35622045,0.35397366,0.35622975,0.36178657,0.3699818,0.3802028,0.39133444,0.40031186,0.4050238,0.40601575,0.40722463,0.41105,0.4151467,0.4119561,0.39535657,0.3661039,0.33275977,0.30515096,0.28838754,0.28104055,0.27867875,0.27695742,0.27418086,0.27155432,0.27330065,0.28318712,0.30078956,0.32015717,0.33367205,0.33796152,0.33533153,0.3311036,0.3292896,0.33148482,0.33749947,0.34567904,0.3534486,0.35822776,0.35927096,0.35758743,0.35464486,0.3512878,0.3478142,0.34470522,0.34344164,0.3478098,0.36467013,0.3988622,0.44559014,0.48644042,0.50080985,0.48174694,0.44467685,0.4157523,0.4141438,0.4381957,0.4698095,0.4869659,0.48026383,0.45545805,0.42695066,0.40478477,0.39072478,0.38151932,0.37442076,0.36979464,0.36933067,0.37522212,0.38679287,0.39998356,0.40748408,0.40434244,0.39105678,0.37278202,0.3544768,0.33796406,0.3237543,0.31213987,0.30406657,0.2989715,0.29660818,0.29716635,0.30260655,0.31324804,0.32752457,0.34088174,0.35020494,0.35412702,0.35422125,0.3515226,0.34680462,0.34112534,0.33655724,0.33537295,0.3380392,0.3464379,0.3645338,0.39778957,0.44299328,0.48720148,0.5122227,0.5110947,0.49012685,0.46423137,0.44302535,0.4287274,0.41916868,0.41319898,0.41202223,0.41579357,0.4222271,0.42577282,0.42205942,0.41074362,0.3963519,0.38514516,0.3807933,0.38274834,0.38626528,0.38605177,0.37933603,0.36771977,0.3562378,0.3498573,0.35208416,0.36038432,0.36705077,0.3590456,0.3288219,0.27818003,0.22072561,0.17070967,0.13669999,0.11704734,0.105046116,0.094005376,0.08245485,0.07561051,0.08313499,0.11354494,0.16543786,0.22610183,0.2760751,0.3042743,0.3114392,0.30912164,0.3058369,0.30551895,0.30642292,0.30822438,0.31090844,0.31479597,0.31833825,0.32001102,0.31911004,0.31635094,0.31203687,0.30695003,0.3036946,0.31022182,0.3367487,0.38767156,0.45104042,0.50056416,0.5119682,0.48308945,0.43821275,0.41196918,0.4246075,0.46677867,0.5064961,0.51175725,0.4746796,0.4128853,0.35446116,0.31641385,0.3005024,0.2982947,0.30063176,0.30211234,0.30242717,0.30649576,0.31674412,0.32917917,0.33009532,0.30965486,0.26796415,0.21908867,0.17705594,0.14941715,0.13362752,0.12438417,0.11816301,0.115684055,0.12167647,0.1420923,0.18131125,0.23524906,0.29176465,0.3335642,0.35238183,0.35190022,0.34792975,0.35229078,0.36840868,0.38808975,0.40393126,0.41274095,0.41924766,0.42944717,0.44855198,0.47497392,0.5000121,0.5097987,0.4963461,0.46401465,0.4274261,0.40004405,0.386145,0.38211894,0.3819386,0.38248566,0.38247943,0.38215455,0.38089633,0.3787521,0.37505746,0.3690784,0.359579,0.34743264,0.3365154,0.332085,0.33627248,0.34633955,0.3569243,0.36557814,0.3736274,0.38402644,0.39621565,0.405748,0.40633276,0.39417565,0.3703353,0.34072533,0.31332055,0.29435116,0.28532997,0.28323936,0.2824789,0.27870297,0.27116513,0.2644198,0.2658918,0.28137,0.30936047,0.34088358,0.36470994,0.37517235,0.37436306,0.36859903,0.36240923,0.35645255,0.34912965,0.33956134,0.32946917,0.32260695,0.32316515,0.33228847,0.3471731,0.3614187,0.3700519,0.37257755,0.37561774,0.38912693,0.42047086,0.4650403,0.5052719,0.5184439,0.49477184,0.44606265,0.4012731,0.38695982,0.40989676,0.45326805,0.48756257,0.4923979,0.4667451,0.42762685,0.39315447,0.37259707,0.36394322,0.36095282,0.3588107,0.35629824,0.35545528,0.35853645,0.36570612,0.37237048,0.3720008,0.35999694,0.33855686,0.31504834,0.29834512,0.29371777,0.30174884,0.31892657,0.33997416,0.35978618,0.37503967,0.38462815,0.38966012,0.3919727,0.39324737,0.39343262,0.39203796,0.38861692,0.38388643,0.37865543,0.37338778,0.36821166,0.36283162,0.35786405,0.35593513,0.36332795,0.38583827,0.4219186,0.45955178,0.482201,0.48208797,0.46345308,0.43972054,0.4205812,0.41034162,0.40564242,0.4023845,0.39635804,0.38783565,0.37971392,0.37617958,0.37809303,0.3823785,0.3842746,0.3814356,0.37556276,0.37032008,0.36873117,0.37145588,0.3777989,0.38578275,0.39345145,0.39894533,0.40208635,0.40289664,0.4000174,0.38949093,0.3679428,0.3369788,0.30409455,0.2780827,0.26221913,0.25183305,0.2386592,0.21882331,0.19804229,0.18849663,0.20001966,0.23254149,0.27577326,0.31601903,0.34257963,0.35278812,0.3508351,0.34594038,0.3454211,0.35164294,0.36043105,0.36736313,0.37036112,0.3717729,0.37272528,0.37377986,0.3730819,0.3708911,0.36642155,0.36026856,0.35357785,0.35288194,0.36788797,0.40514803,0.4581325,0.50634867,0.52738965,0.5136604,0.47836208,0.44637612,0.43723997,0.45291495,0.4775127,0.48829445,0.47318128,0.43833876,0.40268004,0.38163736,0.37768543,0.382719,0.3871521,0.38760325,0.3864582,0.38817903,0.39347482,0.39824256,0.39598826,0.38407847,0.36691454,0.35511348,0.35997447,0.38708997,0.43089736,0.47440127,0.4977385,0.4905505,0.45915496,0.41962862,0.38668457,0.36517215,0.353508,0.34707782,0.34392413,0.34320763,0.34720442,0.35697177,0.37227806,0.38807538,0.39893666,0.4015539,0.39937642,0.40092012,0.41633382,0.44936255,0.4910454,0.5216765,0.5229657,0.49306783,0.44720948,0.4069378,0.3839545,0.3773766,0.37785554,0.37784562,0.37493384,0.3721981,0.37283853,0.37716365,0.3814815,0.38197327,0.37732753,0.36983848,0.36219943,0.35589254,0.35080442,0.34758118,0.34732673,0.35032538,0.35494116,0.35980192,0.36569658,0.3738272,0.38205948,0.38396135,0.37415132,0.35312554,0.32739305,0.30377102,0.2853366,0.2723535,0.26461053,0.2629838,0.2667849,0.27489033,0.28638148,0.30289152,0.3247361,0.3486395,0.3676282,0.37658548,0.37525687,0.3677646,0.35863793,0.35139927,0.3483229,0.35060167,0.3576552,0.36676788,0.37551615,0.38171902,0.38459837,0.38202527,0.37310195,0.3590099,0.34657922,0.3467926,0.3698891,0.41616216,0.4696509,0.50456476,0.5020392,0.46601427,0.42144465,0.3980162,0.41038826,0.450071,0.49185798,0.5102556,0.49526688,0.4556814,0.40994212,0.37262022,0.34800282,0.33329925,0.3240222,0.31940022,0.3209332,0.33164167,0.3492475,0.3661383,0.36988637,0.35459685,0.32451642,0.2934207,0.27263597,0.26558593,0.26767334,0.27255702,0.27528456,0.27342054,0.26753828,0.2633833,0.2692519,0.29062155,0.3222399,0.35190132,0.36911932,0.37467715,0.3769145,0.3814352,0.38542882,0.38189602,0.369858,0.3566245,0.35381094,0.36990514,0.40613505,0.45378113,0.49540797,0.51216054,0.4965315,0.45755342,0.41496435,0.3843476,0.36986193,0.3660638,0.36606598,0.36641943,0.3670187,0.36846793,0.3702174,0.37016687,0.36645684,0.3583099,0.347882,0.33891654,0.3356304,0.33999765,0.35077345,0.36409298,0.374908,0.38031182,0.38078356,0.3805146,0.3829458,0.38737094,0.38817096,0.37972084,0.3608072,0.3352706,0.3085223,0.2852413,0.2689351,0.261497,0.26058623,0.25954318,0.25209463,0.24009037,0.23407002,0.2458138,0.27646783,0.31513596,0.34624103,0.3623983,0.36659238,0.36735973,0.36984706,0.37425002,0.37843898,0.38137957,0.38364887,0.3859887,0.38955808,0.39585352,0.40662035,0.42175946,0.43840876,0.45227194,0.46101925,0.46781516,0.4795291,0.49931479,0.5190578,0.52235097,0.4987247,0.45586348,0.41744363,0.40647233,0.4289706,0.46833754,0.49806055,0.4986076,0.47267985,0.43593192,0.40578017,0.38529262,0.37161553,0.3592501,0.3492544,0.343421,0.34503672,0.3545309,0.36905408,0.38028726,0.37903503,0.36201975,0.33581725,0.31154683,0.29667988,0.2899569,0.28507298,0.27580544,0.26102546,0.24522239,0.23702954,0.2452143,0.27192554,0.31036592,0.34726915,0.37297046,0.38682225,0.39429703,0.40025893,0.4040008,0.40435335,0.4011663,0.39639995,0.39104605,0.3875861,0.3937731,0.41787514,0.4593502,0.5009901,0.5192668,0.50150335,0.45633236,0.40599895,0.37011573,0.3550502,0.3556782,0.36264476,0.36981693,0.37472275,0.3778175,0.379565,0.38066545,0.38176453,0.38364813,0.38678932,0.3908763,0.39453456,0.39586028,0.39334348,0.3874569,0.3798511,0.37317052,0.36911526,0.36868712,0.37020063,0.37000677,0.36342403,0.34882733,0.3289067,0.3092889,0.29525587,0.28957522,0.29310104,0.3034369,0.31494763,0.31933835,0.3124325,0.29828134,0.28850076,0.29226854,0.30972522,0.33082023,0.34565905,0.350449,0.3506632,0.35275146,0.3603209,0.37094215,0.38129005,0.38902262,0.39392146,0.39558265,0.39308903,0.38688603,0.37877414,0.37187818,0.36720905,0.36664224,0.37306333,0.39209047,0.42494512,0.46391377,0.49365267,0.50010234,0.48240152,0.45180523,0.42706212,0.42044044,0.43268886,0.4517189,0.46160996,0.45463768,0.43395016,0.41083682,0.39337656,0.38493428,0.38326833,0.38493314,0.38716733,0.38976297,0.39503977,0.40360305,0.41140413,0.41018295,0.39441368,0.36633,0.334623,0.3075181,0.28761983,0.27274224,0.26028928,0.2501082,0.24389504,0.24330771,0.24965437,0.26479304,0.28927544,0.31925663,0.34577918,0.36086965,0.36426964,0.36286202,0.36429203,0.3700006,0.37717178,0.38200137,0.38373783,0.38497832,0.3915569,0.41100064,0.44425824,0.4823765,0.5066413,0.50393826,0.4741975,0.4320542,0.39412543,0.36964262,0.35749316,0.35082462,0.34462622,0.33877805,0.3389496,0.3527871,0.3855054,0.431806,0.47582158,0.49735954,0.48976597,0.4615254,0.4316448,0.41079974,0.40040246,0.3938547,0.38644066,0.37768173,0.3710214,0.37095475,0.37649682,0.3823444,0.38093615,0.37111592,0.35642478,0.3424538,0.3307495,0.32053378,0.31055328,0.30080447,0.29126537,0.28286028,0.27892363,0.28632578,0.3084412,0.34141842,0.3718717,0.3897371,0.3930492,0.39208007,0.39769837,0.41634837,0.44293877,0.46586922,0.4737734,0.4665303,0.4549699,0.45290074,0.4656625,0.48772606,0.50740844,0.5145397,0.5061088,0.4868418,0.46571136,0.44858673,0.4358361,0.42233428,0.4048448,0.3830824,0.36397997,0.35604548,0.36920032,0.40375653,0.44800106,0.47848943,0.47727016,0.446834,0.41128635,0.4006666,0.42744634,0.4785935,0.5230114,0.53451705,0.5088971,0.4635699,0.42392775,0.4038887,0.40147576,0.40142676,0.38949797,0.3626591,0.3337219,0.32385242,0.34628534,0.394245,0.4414897,0.4605936,0.44212362,0.4001768,0.35890988,0.3351799,0.33086944,0.338861,0.3506166,0.36160016,0.3686438,0.3698162,0.36305383,0.34991947,0.33504167,0.3249034,0.32449856,0.33788133,0.3698988,0.4234068,0.49187744,0.5560586,0.5932272,0.5930532,0.56354934,0.52354866,0.4889492,0.46732363,0.4584119,0.4577541,0.45937812,0.46071467,0.4660457,0.48449245,0.51939046,0.56130725,0.5903577,0.5922894,0.56804603,0.5323358,0.49987903,0.47683886,0.46188763,0.45089695,0.442055,0.43424335,0.42975965,0.43052503,0.4388233,0.45134318,0.46336234,0.47032836,0.4738752,0.4779131,0.48536232,0.49482313,0.5037561,0.511609,0.5195594,0.5277459,0.5328054,0.5304458,0.51805896,0.4983782,0.4768953,0.46009085,0.4505783,0.4483683,0.45081928,0.455799,0.4611918,0.4663975,0.4710895,0.47527495,0.47716865,0.47521636,0.46886846,0.46125937,0.45585135,0.45521215,0.4594986,0.4704671,0.49223638,0.5268615,0.56632966,0.5926253,0.58934706,0.5572185,0.51550156,0.49108878,0.5003256,0.5398373,0.5884598,0.6189857,0.6168792,0.58529717,0.542391,0.5028861,0.47356233,0.45212904,0.4361258,0.42492482,0.41988066,0.42310032,0.43459824,0.45220006,0.47041416,0.48521712,0.4954141,0.5028865,0.5078067,0.5078365,0.5007166,0.4880655,0.4746383,0.4640367,0.45638347,0.4498866,0.4437306,0.43889883,0.43665972,0.43792507,0.4422122,0.44818127,0.4534719,0.45695615,0.45892242,0.46082684,0.46256688,0.46309173,0.4624469,0.4660472,0.4830217,0.5197149,0.5695665,0.61344546,0.62948495,0.6096781,0.5628938,0.5091441,0.46443424,0.43641064,0.42257643,0.41742697,0.41567314,0.41809264,0.4307398,0.4612366,0.508589,0.5602705,0.59664154,0.6060653,0.58988464,0.5610643,0.53129363,0.5077577,0.49110094,0.4808545,0.4753505,0.47375187,0.47557536,0.48047605,0.4869974,0.49101838,0.48944834,0.48158923,0.4715407,0.46301508,0.4583433,0.45654425,0.45605683,0.45489657,0.4515665,0.44600785,0.43993554,0.43653345,0.43722096,0.44144693,0.44699678,0.45329556,0.4605601,0.4691014,0.47713754,0.482654,0.48432782,0.48297036,0.4799625,0.47659698,0.47306418,0.46951506,0.46618772,0.46413168,0.4637998,0.4657135,0.47073355,0.48249173,0.50516546,0.5388208,0.5739667,0.595609,0.5934058,0.5716877,0.54626006,0.53424007,0.5423606,0.5639178,0.5850365,0.5930372,0.58639854,0.5695119,0.5494165,0.52669626,0.50202763,0.47679338,0.45585632,0.44257107,0.43842396,0.4436648,0.4563526,0.47174358,0.48188624,0.4823854,0.47425175,0.4633243,0.45337036,0.4452732,0.43846038,0.4338356,0.43211684,0.43242824,0.4321756,0.43035528,0.4276822,0.42588004,0.42413393,0.42083514,0.4148381,0.40871266,0.40627757,0.41095188,0.42267248,0.43846643,0.45361876,0.464426,0.4716843,0.4813254,0.5013938,0.533518,0.5683584,0.58942086,0.58449954,0.55497587,0.51325935,0.4746205,0.4473054,0.43272737,0.4270555,0.4268768,0.43077576,0.44253114,0.46858764,0.51101846,0.5587297,0.59050083,0.58970165,0.5592694,0.51723224,0.4827435,0.46207058,0.45330942,0.4514251,0.45442244,0.4598453,0.46574736,0.47050586,0.47372046,0.47460094,0.47154382,0.46421412,0.45478013,0.4465036,0.44079122,0.43693757,0.43504378,0.4370649,0.4448608,0.45621666,0.46564007,0.46752954,0.46137658,0.45118043,0.44353807,0.441727,0.44515944,0.44930243,0.45058313,0.44782448,0.44317052,0.4397463,0.43959847,0.4427714,0.4474807,0.4520906,0.45585147,0.45916617,0.46249592,0.4658221,0.46959713,0.47650337,0.49229646,0.5218037,0.5613618,0.59660155,0.6089628,0.5917632,0.55528307,0.52314657,0.51361156,0.53023446,0.55834585,0.57836103,0.57712144,0.55588883,0.5246105,0.49514365,0.47426406,0.464173,0.46170163,0.46227583,0.46188954,0.46179435,0.46561325,0.47574997,0.48854074,0.49794218,0.500073,0.4967493,0.4915392,0.48650673,0.48078105,0.47355786,0.46528438,0.45778444,0.45265982,0.45080605,0.45224878,0.4566312,0.4633101,0.47132197,0.4789563,0.4846271,0.48749542,0.48845825,0.4886954,0.4890351,0.4889563,0.4879,0.48653924,0.48838088,0.4990505,0.5218807,0.5519206,0.57615495,0.5814399,0.5666356,0.5412026,0.51783675,0.50022703,0.48710784,0.4756489,0.46707663,0.46244678,0.46354556,0.47347143,0.49687657,0.53296447,0.571948,0.59814304,0.60269004,0.5873246,0.5622039,0.5351644,0.5105212,0.4891394,0.47205544,0.4599018,0.45360842,0.45468602,0.4629887,0.47539887,0.48477975,0.48638746,0.47961816,0.46960494,0.46094668,0.4565018,0.45582268,0.4570857,0.4572036,0.45369276,0.44729543,0.4432619,0.44723997,0.4598945,0.474278,0.4824194,0.48136422,0.47693524,0.47816908,0.4930474,0.52227354,0.5586331,0.587142,0.59418744,0.57584834,0.54395777,0.5174792,0.5109413,0.5212876,0.5344141,0.53507286,0.5236992,0.50957274,0.50389403,0.50585335,0.50855637,0.5036529,0.49028265,0.4749379,0.46955487,0.48486462,0.52247894,0.57014585,0.6065653,0.61474097,0.59544444,0.5662477,0.5497941,0.55791813,0.5862625,0.6184264,0.6357525,0.6298754,0.6047256,0.57488054,0.55011964,0.5326338,0.51468724,0.4917762,0.46471104,0.44332764,0.4387367,0.45939898,0.50216454,0.55132544,0.5849374,0.58998275,0.5711756,0.5447771,0.52490634,0.513261,0.5034688,0.4888549,0.47020996,0.4536384,0.44590995,0.4482549,0.45617864,0.4626179,0.46381867,0.4608961,0.45937583,0.465086,0.48261404,0.51076657,0.54161286,0.562283,0.56464773,0.5518517,0.5349359,0.5238064,0.51970106,0.51967496,0.5201848,0.5212748,0.5236611,0.5297819,0.5425628,0.5646663,0.5919431,0.6144101,0.619603,0.60555786,0.5792969,0.554622,0.5393138,0.5356588,0.539048,0.543535,0.5433219,0.5364426,0.5257012,0.51576024,0.51025826,0.5083809,0.50826174,0.5073572,0.5056252,0.5023933,0.497615,0.49041852,0.48171535,0.4731605,0.46690568,0.46308264,0.46017206,0.45611748,0.45145214,0.44848442,0.45000544,0.45510602,0.46110556,0.4640493,0.46285105,0.45722988,0.44881013,0.43905067,0.4304061,0.42441306,0.42180383,0.4223431,0.42578867,0.43161342,0.43814373,0.44357046,0.4485848,0.45884004,0.4815878,0.51783067,0.556772,0.58122134,0.58045167,0.5593659,0.53438026,0.52295613,0.5331982,0.5607833,0.5908446,0.60596853,0.59764737,0.5697971,0.53582186,0.5059995,0.48490345,0.4700937,0.45941603,0.4516369,0.4487767,0.45295456,0.46445963,0.47850004,0.48720804,0.48400274,0.469444,0.45010877,0.43439734,0.42589128,0.42322862,0.42177412,0.41804793,0.41102448,0.40320623,0.39844945,0.40023243,0.4083128,0.41989776,0.4301282,0.43631685,0.4373907,0.43510473,0.43126974,0.42801312,0.42627028,0.42604366,0.4266555,0.42946362,0.4395435,0.46339092,0.5003927,0.53978777,0.56503105,0.5679145,0.5519676,0.528691,0.5072388,0.49211743,0.48460293,0.48305905,0.48449358,0.48632002,0.49241248,0.50997424,0.5421181,0.579206,0.6044502,0.6060767,0.58747935,0.5607403,0.5371941,0.519224,0.5055706,0.49371898,0.4837228,0.47654796,0.47541943,0.48391756,0.5015404,0.5214264,0.53296083,0.53078455,0.5179608,0.5031827,0.4929146,0.48854062,0.48801646,0.48895574,0.48972896,0.48931417,0.4875482,0.4855316,0.48468804,0.4856645,0.48689437,0.48557794,0.4787304,0.46547377,0.44780686,0.429913,0.41624725,0.4084294,0.40553996,0.4047427,0.40472993,0.4054371,0.40749303,0.41010472,0.41150275,0.41027483,0.40756014,0.40822744,0.42028475,0.4497653,0.49332547,0.5367016,0.5616929,0.56128234,0.5434951,0.52829725,0.5307496,0.5529802,0.58059925,0.59493643,0.58555293,0.556959,0.52246994,0.49350765,0.474434,0.46410045,0.45968446,0.4597021,0.4639329,0.47366914,0.48713008,0.5000341,0.5047106,0.49843395,0.48288497,0.4659295,0.4530375,0.44741762,0.44723073,0.4502765,0.45391658,0.45729446,0.4601538,0.462252,0.46280417,0.46023548,0.45406473,0.44430205,0.43255833,0.42011288,0.40863386,0.39925012,0.39318633,0.39137852,0.39358315,0.3984156,0.40445903,0.41401562,0.432947,0.46640357,0.5096592,0.54901236,0.5686814,0.5649732,0.54435724,0.51884955,0.49499846,0.47656867,0.4646107,0.45980442,0.4594781,0.4593356,0.45601583,0.44959304,0.4424897,0.43695724,0.43382636,0.43257305,0.43230638,0.43184218,0.430464,0.42821392,0.4259189,0.4240342,0.42205814,0.41916776,0.41545448,0.411966,0.40972528,0.4086275,0.4080836,0.40790105,0.40871587,0.41068748,0.4124532,0.4116552,0.40716648,0.4005288,0.39487538,0.392251,0.3931637,0.39801598,0.40854204,0.42517972,0.4448557,0.46130002,0.46969208,0.4692372,0.46258804,0.45293584,0.44285318,0.4346479,0.4305149,0.43248537,0.44288757,0.46461058,0.49844226,0.5370286,0.5657707,0.5692227,0.5453183,0.50425375,0.46382594,0.43464276,0.41972613,0.41458225,0.41421714,0.41523263,0.41656002,0.4184923,0.4198005,0.4189935,0.41467175,0.40864336,0.4037614,0.40285206,0.40603617,0.41185176,0.41774094,0.42157802,0.4222723,0.42049924,0.41833088,0.41781092,0.41948032,0.42201838,0.42370757,0.42417046,0.42482817,0.4274743,0.43254367,0.43893322,0.44505814,0.45019317,0.45445827,0.45831534,0.46184865,0.46518207,0.4685048,0.4723742,0.47656348,0.48038724,0.48232326,0.48117077,0.47573304,0.46535376,0.45030066,0.43238607,0.4148908,0.40113744,0.39411977,0.39778164,0.41662928,0.45366037,0.5026147,0.5500173,0.57765585,0.5777181,0.5530068,0.5195521,0.49133536,0.47655597,0.47060385,0.46603572,0.45810783,0.45246485,0.45953262,0.48734304,0.5301668,0.5711579,0.5896949,0.57931376,0.5477734,0.51431745,0.49131384,0.48277894,0.4819138,0.4825128,0.48027682,0.47706977,0.47844312,0.4916707,0.5189025,0.55204344,0.57629186,0.5805713,0.56543154,0.54098123,0.5167049,0.49754453,0.48237002,0.47159985,0.46516252,0.46623245,0.4767218,0.49943498,0.5304953,0.55886585,0.57030946,0.5606838,0.5394842,0.5222605,0.516424,0.51935846,0.52278847,0.52144307,0.5134786,0.50170916,0.49327603,0.49674296,0.51553553,0.54024076,0.55512196,0.5485604,0.5244974,0.49554193,0.47297475,0.45903227,0.4511132,0.4485878,0.45197907,0.4617161,0.47578868,0.49538946,0.5225,0.5542647,0.580571,0.58981943,0.5810979,0.5619571,0.5430127,0.5284238,0.5174296,0.5084726,0.5003267,0.49490312,0.493956,0.5032425,0.52549523,0.55771756,0.58765584,0.60156256,0.59535617,0.5748821,0.5529818,0.5366624,0.52848274,0.5241634,0.520313,0.5143914,0.50812477,0.50653344,0.5143978,0.53313273,0.555639,0.5724783,0.57525533,0.5651234,0.54872155,0.5345363,0.5258169,0.5202775,0.51427937,0.50576675,0.49798593,0.49721375,0.51173997,0.5419033,0.5773394,0.5987945,0.59519625,0.5692608,0.53637975,0.50898814,0.4925492,0.48420897,0.47989312,0.47562388,0.469784,0.46228066,0.45463586,0.4488621,0.4465324,0.44789875,0.4514865,0.45516464,0.4578818,0.4605988,0.46442032,0.46815136,0.46777403,0.46030894,0.447382,0.43607756,0.43361744,0.4418793,0.45526937,0.46566555,0.46861467,0.465817,0.4615105,0.4583926,0.45574358,0.45146224,0.44327462,0.43088993,0.4162974,0.40425074,0.39910474,0.40237132,0.41114607,0.4213418,0.42995885,0.43685308,0.4421496,0.44614574,0.4484218,0.45012847,0.4523348,0.45632103,0.4618186,0.46853268,0.4757552,0.4824287,0.48699883,0.48785934,0.4851824,0.48132408,0.48188972,0.4937652,0.52032906,0.55549026,0.5841103,0.5918302,0.57672256,0.5508783,0.53145254,0.52827114,0.53945184,0.5543605,0.5618415,0.55657434,0.5403936,0.518658,0.49629274,0.4766021,0.46196747,0.45336294,0.45036498,0.45138052,0.4557923,0.46229804,0.4691781,0.47229597,0.47032273,0.46384636,0.45751682,0.45370677,0.4534113,0.453764,0.45211515,0.4455692,0.43449327,0.42148402,0.41225505,0.41099575,0.418951,0.4322741,0.44608283,0.45687893,0.4642824,0.46870747,0.4699162,0.46744892,0.46190843,0.455,0.44806865,0.44283915,0.44361612,0.45860633,0.49295568,0.54037565,0.58104724,0.59527224,0.5784483,0.5442081,0.51127964,0.49015084,0.48038185,0.4773074,0.47692993,0.47709605,0.4758413,0.47245988,0.46729907,0.46191585,0.45716357,0.4537985,0.45189044,0.4514408,0.45032254,0.4458109,0.43571988,0.42242837,0.4115865,0.40991768,0.4197552,0.4388245,0.46052137,0.47814587,0.48593843,0.48299596,0.47243392,0.46056497,0.45140207,0.44567212,0.44162786,0.4381914,0.435228,0.43254712,0.42951986,0.42577693,0.42214772,0.41966513,0.4185519,0.41779888,0.41657838,0.4157283,0.41714728,0.4228221,0.43265414,0.4452909,0.45789,0.46787024,0.47315407,0.4732813,0.4691809,0.46219316,0.45337215,0.44299614,0.43173695,0.42195293,0.4188598,0.428701,0.45290077,0.48363534,0.506504,0.5111653,0.4999875,0.48614135,0.48451802,0.5016491,0.53219104,0.5613411,0.5726524,0.5593948,0.52729887,0.49175236,0.46500573,0.4526973,0.4516804,0.4566767,0.4622856,0.467019,0.47224137,0.47985765,0.4882246,0.4916214,0.48510602,0.46934864,0.45154497,0.4400926,0.43930343,0.44745314,0.45887336,0.46804857,0.4721651,0.47151467,0.4675188,0.46061897,0.4508164,0.43823883,0.42548487,0.41564086,0.41177866,0.41364262,0.41910696,0.42473492,0.42908886,0.4321375,0.43524095,0.44005597,0.45076242,0.47325706,0.51048976,0.55532783,0.5921265,0.6068583,0.59836775,0.5766111,0.55417293,0.53663343,0.5243053,0.514854,0.50801647,0.50352144,0.50106776,0.49882695,0.49515307,0.48950458,0.48296884,0.4788811,0.48028818,0.488337,0.4985722,0.50481075,0.502696,0.49434754,0.48416403,0.47630358,0.47225797,0.47434822,0.4837613,0.49934053,0.5147019,0.5230587,0.5207586,0.5103499,0.49784544,0.4894886,0.48785558,0.4905846,0.49217984,0.4887203,0.48111808,0.47411713,0.47181377,0.47476253,0.48054805,0.48673463,0.49225244,0.4971448,0.50124055,0.5038953,0.50441074,0.5024945,0.498481,0.49248993,0.48479486,0.475978,0.46811756,0.46349123,0.4632933,0.46668825,0.47292206,0.4837016,0.5029987,0.5328524,0.56802624,0.5962413,0.6049314,0.5912721,0.56563073,0.54676867,0.550549,0.57980126,0.6203571,0.64909506,0.64857364,0.62065893,0.58234006,0.5532244,0.5393451,0.5344705,0.526999,0.5120191,0.49264827,0.47768,0.4744507,0.48431647,0.5010688,0.5146196,0.5181058,0.51180524,0.5016135,0.49275652,0.48774898,0.48738337,0.49328175,0.5058885,0.5222275,0.535505,0.538907,0.5298758,0.51239115,0.49508628,0.48664343,0.49052072,0.50386876,0.5198327,0.5330007,0.5408216,0.54358983,0.5415073,0.5368247,0.5352742,0.54670286,0.57671505,0.61874264,0.65365356,0.6627827,0.6420021,0.60269827,0.560518,0.52390903,0.49430248,0.47146818,0.45660758,0.45111397,0.45658574,0.47590485,0.5113062,0.5572857,0.5993615,0.62033814,0.613982,0.58714575,0.55387646,0.52401537,0.5005935,0.48265374,0.46920943,0.46114,0.45995545,0.4669652,0.48065197,0.49650598,0.50768906,0.5098135,0.5033667,0.4936522,0.48558518,0.48055366,0.47713986,0.47460243,0.47448575,0.47870907,0.48748648,0.49959794,0.512747,0.52462935,0.5315402,0.5317845,0.52672094,0.5231165,0.52837825,0.5472565,0.57684726,0.6072835,0.62536746,0.623142,0.60406953,0.5824351,0.57476777,0.5886617,0.61601394,0.637805,0.6358982,0.60797566,0.5666508,0.53190404,0.51408356,0.51127774,0.51119953,0.5042009,0.48969153,0.4787387,0.48569837,0.5182542,0.5682935,0.6160887,0.64131993,0.63839984,0.6168957,0.5950432,0.5860942,0.59289044,0.60643756,0.6130393,0.60373634,0.580834,0.5549092,0.5356161,0.525461,0.5215728,0.52147436,0.52604264,0.5383642,0.56070215,0.59334844,0.6314454,0.66517514,0.6810975,0.6730297,0.6452325,0.6119514,0.58410496,0.56521887,0.5505369,0.53606945,0.5214036,0.51053447,0.5070071,0.5113264,0.52005607,0.5281291,0.5315885,0.52932143,0.52372384,0.52154946,0.53148687,0.55860513,0.5951291,0.6231017,0.62505263,0.5998223,0.56090933,0.52609915,0.50369126,0.4918959,0.48355547,0.47325203,0.45986477,0.44679412,0.43861663,0.43806398,0.44393393,0.45308223,0.46253392,0.4711225,0.47877243,0.48493126,0.48791084,0.48508766,0.47533906,0.4605365,0.44598544,0.43789545,0.44078842,0.45464262,0.4749365,0.49399748,0.50639194,0.51123214,0.512064,0.5113748,0.50896543,0.5030675,0.49393854,0.48371887,0.47421813,0.46563956,0.4571937,0.4494249,0.44398728,0.4432019,0.44758427,0.45585844,0.465101,0.47299126,0.47874472,0.48341665,0.48830906,0.49372447,0.49868608,0.5021439,0.5041031,0.50549626,0.50756425,0.51052076,0.5133975,0.5138707,0.5116847,0.51113683,0.5209648,0.5447428,0.5735912,0.587926,0.5741491,0.53724974,0.5005245,0.48953375,0.5163393,0.5691553,0.6198985,0.639375,0.6209852,0.5790365,0.5383845,0.5098292,0.49251065,0.4779513,0.4642963,0.45387772,0.45354798,0.46734592,0.49417198,0.5246094,0.5478545,0.5580384,0.55841416,0.5550762,0.5517238,0.5474129,0.5401024,0.52949005,0.5177149,0.50866985,0.50515383,0.50664425,0.50831956,0.50484926,0.4948894,0.48251703,0.47405457,0.4732237,0.47927725,0.48799157,0.49478367,0.4969386,0.49429026,0.48923993,0.4873481,0.49753118,0.52691174,0.57139987,0.6121587,0.6265561,0.60669416,0.56557053,0.5249228,0.49803877,0.4846801,0.47900316,0.47683468,0.47746375,0.4798143,0.4817731,0.48060405,0.47526824,0.46684563,0.45791414,0.451224,0.44821465,0.44837263,0.4494027,0.44870758,0.44550595,0.44100758,0.43778136,0.43784368,0.4432796,0.45460618,0.47061923,0.48604223,0.49627647,0.49933097,0.49913582,0.4995186,0.5018591,0.5034831,0.5019304,0.49728748,0.49133015,0.4866513,0.48471677,0.48654565,0.4906331,0.49379048,0.4929138,0.4881551,0.48298335,0.48101285,0.4833127,0.48800528,0.4925089,0.49574134,0.49885234,0.50399166,0.51126987,0.5173735,0.5170407,0.5078186,0.49251822,0.4777232,0.46889767,0.46888527,0.47877803,0.49983406,0.5279998,0.5529899,0.56003314,0.54468185,0.515986,0.4946078,0.4964795,0.5238445,0.56328934,0.59470314,0.6052327,0.59394723,0.57029045,0.5431103,0.5183428,0.49815676,0.48445353,0.47785595,0.4784104,0.4855734,0.49794984,0.51166385,0.51994914,0.5176549,0.5048744,0.48826084,0.4745308,0.46632826,0.46099064,0.45552778,0.44926167,0.44364718,0.43989336,0.43821466,0.43891144,0.44270054,0.45029166,0.4606661,0.47173408,0.4805849,0.48583952,0.48739016,0.48716033,0.4871627,0.4886205,0.4909794,0.49362624,0.49882784,0.5121382,0.538071,0.5725555,0.60222006,0.6125303,0.59985566,0.5735274,0.5473396,0.52908015,0.5182391,0.51170635,0.50805324,0.50815225,0.5115664,0.5159792,0.5185512,0.5185644,0.5177388,0.51805574,0.5204792,0.524529,0.5298929,0.5360318,0.5418902,0.54511493,0.5433508,0.53647786,0.52739555,0.52135575,0.52065563,0.52348644,0.5234773,0.5174001,0.50642437,0.49658337,0.49150565,0.49108163,0.49157313,0.4898821,0.48507795,0.47885385,0.47444806,0.47544518,0.48313424,0.49532464,0.50657445,0.51218915,0.51078814,0.5041689,0.4954333,0.4860568,0.4771817,0.46846855,0.46137127,0.45797405,0.46244466,0.4762729,0.49639955,0.5142872,0.5218139,0.51640123,0.5028946,0.4899392,0.48546514,0.49386773,0.51349235,0.53708714,0.55462885,0.56099695,0.55815893,0.5536509,0.5546463,0.5660008,0.58651346,0.6078481,0.61685824,0.60625213,0.5803282,0.5516421,0.52996904,0.517334,0.5100681,0.50375193,0.49644685,0.48957694,0.48793316,0.49475527,0.50845605,0.5210338,0.5259857,0.5219755,0.51407963,0.5059354,0.49822912,0.48866263,0.4772469,0.4655763,0.45674443,0.45225775,0.45284787,0.457235,0.46368238,0.46955085,0.4734005,0.4748217,0.47536778,0.47712433,0.48164907,0.48846045,0.4945992,0.4960494,0.4899427,0.47821382,0.4691637,0.47465578,0.5014461,0.54264456,0.5803012,0.5974551,0.5914824,0.5720987,0.5521164,0.5370517,0.52684635,0.51917964,0.5139734,0.51255566,0.5184563,0.53526837,0.5635955,0.5961831,0.61968964,0.6230091,0.6056579,0.5771466,0.54837084,0.5254487,0.509042,0.4981625,0.4910349,0.48689452,0.48586616,0.49003538,0.49965963,0.51244533,0.5226671,0.5271465,0.5253063,0.52026993,0.5130579,0.50440925,0.49443662,0.48623016,0.48239556,0.4844074,0.49062157,0.49989533,0.5102295,0.5197521,0.52351856,0.51885134,0.5058881,0.49158263,0.48421955,0.49111775,0.5112383,0.53535825,0.5497474,0.54805166,0.53712326,0.5336818,0.5508376,0.5877368,0.6286854,0.65358263,0.65113586,0.6255274,0.5919252,0.56527334,0.55204964,0.54893535,0.5475459,0.5400937,0.5251724,0.5099348,0.5068195,0.52338046,0.55397964,0.581964,0.5922156,0.58373064,0.5690965,0.56543094,0.58017474,0.60669893,0.6279773,0.6304417,0.61495787,0.5937081,0.57960564,0.573551,0.5691576,0.5584108,0.5407683,0.5206639,0.50569767,0.5013137,0.5087421,0.5228999,0.5357583,0.5403981,0.5370433,0.53042245,0.52709013,0.5280266,0.5312105,0.53236574,0.53112334,0.5293271,0.5307302,0.53735584,0.54819363,0.5592263,0.5642058,0.55917054,0.5445439,0.5275995,0.5194025,0.5290916,0.5561963,0.5872758,0.6043722,0.5976563,0.57265496,0.5423982,0.51589584,0.49437073,0.47579432,0.46080542,0.45192507,0.45393753,0.47171268,0.5091305,0.5604572,0.61040574,0.6393843,0.6390661,0.61412424,0.578485,0.5430657,0.5145387,0.49402642,0.4802027,0.46970233,0.46123064,0.45752403,0.4631617,0.4793221,0.50003797,0.5162635,0.52193207,0.51868886,0.5126996,0.5096725,0.5117895,0.5177212,0.52444917,0.5269337,0.5224015,0.512139,0.50377125,0.5035042,0.5117926,0.52187926,0.52772707,0.52934486,0.5326531,0.54444337,0.5661708,0.592088,0.6107626,0.61230206,0.5960755,0.57370836,0.56353,0.5783157,0.61322325,0.64657444,0.6522853,0.6225982,0.5714887,0.5259555,0.5011353,0.49558243,0.49445415,0.48701966,0.47148606,0.45803466,0.4605869,0.490832,0.54567784,0.60684013,0.6469755,0.65154266,0.6274536,0.6005565,0.594886,0.61596173,0.64827776,0.6655319,0.65386003,0.6170909,0.5755854,0.5445729,0.5293167,0.523134,0.5196414,0.51634896,0.5173399,0.5292843,0.5565923,0.59550136,0.6321109,0.6494315,0.6381585,0.6048874,0.5656948,0.535434,0.5176573,0.5090804,0.50547415,0.5072813,0.5163081,0.5337439,0.5591118,0.58982056,0.6194076,0.637021,0.6340197,0.61118084,0.58209664,0.5658371,0.5750813,0.6052963,0.6364092,0.6459252,0.6264674,0.58800244,0.5488405,0.51974636,0.5026749,0.49296904,0.48784932,0.4867562,0.49377427,0.5141123,0.55026287,0.594409,0.6298682,0.6394891,0.6195795,0.58066887,0.5405159,0.51027334,0.49282214,0.4838554,0.47976956,0.47801495,0.48109218,0.49313068,0.5195288,0.557301,0.5951192,0.61673874,0.6146374,0.5931762,0.56257343,0.5301358,0.49781457,0.46772775,0.44244465,0.42539212,0.4197215,0.43125984,0.46535084,0.5187673,0.57496214,0.61175305,0.6170246,0.59651536,0.56617683,0.5387519,0.5165269,0.49569103,0.47321475,0.45152012,0.43884695,0.44562712,0.47956336,0.53601027,0.5979174,0.64082056,0.65146583,0.6326861,0.6016851,0.57331306,0.5543868,0.54231954,0.5313445,0.51450354,0.4843646,0.43460205,0.36424768,0.2820842,0.20520918,0.15042096,0.12461137,0.121678114,0.1285065,0.13303596,0.12893355,0.11551461,0.0964908,0.07868171,0.06986386,0.07457366,0.09096434,0.111840405,0.13040791,0.1456828,0.16120747,0.18011345,0.19882442,0.20969409,0.20388371,0.17890574,0.13824247,0.09242952,0.05239278,0.026578596,0.01711771,0.022839488,0.041085597,0.07005579,0.10690159,0.14743574,0.18500932,0.21405637,0.23140506,0.23854448,0.23822589,0.23258586,0.22094159,0.20241772,0.1783179,0.15391935,0.13548397,0.12662359,0.12555842,0.12758328,0.12832494,0.12645945,0.12280258,0.11891536,0.11581901,0.113730915,0.11234656,0.11127331,0.110922955,0.11219266,0.115721606,0.120602466,0.124989845,0.12724118,0.12718733,0.12544201,0.12263119,0.118796654,0.114122145,0.109127246,0.104748346,0.102014996,0.10225231,0.106550284,0.11478887,0.12469765,0.13288383,0.1368794,0.13664156,0.13390534,0.13046145,0.12712517,0.12384706,0.120524734,0.117368735,0.114979394,0.11409692,0.11526069,0.11840231,0.1225744,0.1263345,0.12845428,0.1286447,0.12734763,0.12529524,0.122851074,0.12017334,0.11701468,0.11282114,0.10664483,0.09831662,0.08944109,0.083402775,0.083024204,0.088379495,0.09649267,0.10390473,0.10885558,0.1117335,0.11346367,0.114511035,0.11488909,0.114839524,0.11494574,0.11571354,0.11729738,0.119354874,0.12140897,0.12289116,0.123583235,0.12339649,0.1224184,0.120505184,0.11755532,0.11374541,0.109785676,0.10659081,0.1046933,0.10406741,0.10448446,0.105936795,0.10847152,0.11169521,0.114795305,0.117116004,0.11853555,0.119226426,0.119127564,0.1181073,0.11626703,0.11421963,0.11260962,0.11185768,0.11191255,0.112548225,0.11331103,0.1137724,0.11344883,0.11219833,0.11013118,0.10771931,0.10542812,0.10361516,0.10224832,0.10077033,0.098229624,0.09387973,0.088426106,0.08437565,0.08502349,0.091704644,0.102402836,0.1127406,0.119269945,0.12142616,0.12111697,0.120406955,0.120052226,0.119467445,0.11784017,0.11501966,0.111682326,0.10894369,0.107679494,0.10825298,0.11024394,0.11270393,0.11437744,0.114487596,0.11308531,0.11109358,0.10951156,0.108793266,0.10858496,0.108280085,0.10784317,0.108225346,0.110868305,0.11616987,0.12288526,0.12853573,0.13155152,0.13183747,0.13069522,0.12917243,0.12777843,0.12643932,0.12503058,0.123523675,0.12193931,0.12054745,0.1198163,0.120085485,0.12118074,0.12212536,0.12209875,0.12073598,0.11861787,0.116427325,0.114626415,0.113239996,0.11190182,0.11042198,0.10868555,0.10703685,0.10573038,0.10483991,0.10416869,0.10326583,0.10205316,0.100466155,0.09892214,0.09761708,0.09682647,0.096543945,0.096389234,0.09587433,0.09465164,0.0936819,0.094952196,0.10024867,0.10938824,0.11931133,0.1265521,0.12887888,0.1270544,0.12295181,0.118543915,0.115032755,0.11281574,0.11192075,0.11184516,0.11273232,0.11543537,0.12098285,0.12912388,0.13756037,0.14362477,0.14596646,0.14548133,0.14405495,0.1428035,0.14206606,0.14136918,0.14084809,0.14049993,0.1408016,0.14211838,0.14507101,0.14988142,0.15583992,0.16159685,0.16587134,0.16880332,0.17279007,0.18249612,0.20351736,0.23690271,0.2776017,0.31614432,0.35139343,0.39294326,0.45599166,0.54081947,0.6284141,0.688509,0.70374864,0.6783754,0.6347442,0.59487927,0.5705857,0.55981773,0.55513936,0.55016726,0.5442806,0.53939384,0.53668475,0.53444976,0.5305638,0.5245616,0.51909775,0.5174679,0.5216313,0.52966064,0.5378085,0.5425255,0.5430977,0.54065347,0.537152,0.5340851,0.5323122,0.53168124,0.5315624,0.53143835,0.53145665,0.5314844,0.5308203,0.5283865,0.523982,0.51827246,0.5123243,0.50691646,0.5028477,0.50110126,0.5026684,0.5076167,0.5148835,0.52242494,0.52854717,0.5320873,0.5333491,0.5329488,0.53318197,0.53613156,0.5437928,0.5544124,0.56458336,0.57274204,0.58385795,0.60685724,0.64324397,0.6814057,0.7002685,0.68793005,0.64964896,0.60444134,0.56905264,0.5498604,0.544674,0.5483003,0.55686164,0.566362,0.57423466,0.57873154,0.5811889,0.5835547,0.5875462,0.5923746,0.5963114,0.5980313,0.5977312,0.59618837,0.59382004,0.59130317,0.59041643,0.5933826,0.6005662,0.6093618,0.6159182,0.61792296,0.6153898,0.6094079,0.6009488,0.5914129,0.58325505,0.5784895,0.5771156,0.5762225,0.57310385,0.5665569,0.55791086,0.5475915,0.5341467,0.5149252,0.49027434,0.46567997,0.44890442,0.44504058,0.45278767,0.46648887,0.4797002,0.48897064,0.494776,0.5016701,0.517327,0.54978746,0.601201,0.660719,0.7070827,0.7210006,0.70084244,0.6618994,0.62361,0.59603316,0.57892877,0.5698483,0.5676989,0.57306594,0.58389264,0.5963521,0.6060453,0.61077553,0.6118176,0.6119965,0.6134568,0.6139365,0.60853463,0.5926445,0.56765205,0.5408242,0.52182597,0.51583743,0.5213823,0.5323439,0.54327613,0.55184096,0.5585342,0.5637211,0.56632185,0.56384057,0.5544538,0.53799003,0.51613164,0.49163166,0.46807003,0.44911537,0.43769684,0.4342973,0.4372158,0.4426153,0.44702125,0.44792986,0.44588783,0.44328764,0.44313177,0.44627964,0.45095262,0.4547913,0.45640218,0.45628452,0.45450985,0.45101115,0.44604647,0.44123518,0.4384152,0.4376315,0.43823192,0.43951216,0.44228458,0.44633314,0.45038497,0.45205644,0.45002303,0.44435856,0.43669185,0.4304265,0.42970228,0.43719018,0.45121753,0.46633556,0.47668934,0.4795932,0.47685027,0.47278783,0.47124395,0.47246644,0.47340822,0.47089407,0.46530327,0.4603136,0.45937702,0.46242508,0.46650577,0.46864703,0.46869123,0.46887732,0.47200322,0.47879532,0.48771048,0.4962902,0.5024573,0.5049711,0.5021274,0.49344692,0.4800469,0.46604767,0.4551578,0.45008352,0.45120406,0.45861423,0.4701822,0.48166227,0.48665583,0.48146784,0.46701476,0.44840285,0.4301397,0.4137417,0.3988143,0.38698432,0.3831384,0.39112043,0.40857053,0.4259268,0.4339141,0.42926565,0.4168699,0.40366343,0.395054,0.39186442,0.39219907,0.39319384,0.39357182,0.39392602,0.39457074,0.39439932,0.39124027,0.38500893,0.37824598,0.3744614,0.37464306,0.37646285,0.3765843,0.37413797,0.3711276,0.37012288,0.37141764,0.37359157,0.37579402,0.3786398,0.38309908,0.3882985,0.39263627,0.3950009,0.3962401,0.39750755,0.39906135,0.3996172,0.39786538,0.39359817,0.38857362,0.38522816,0.38584706,0.39101848,0.39985168,0.4100722,0.41911742,0.42498517,0.4267346,0.42480764,0.42049745,0.41559127,0.41097292,0.40562668,0.39722833,0.38460687,0.3715621,0.3643539,0.3675832,0.37737718,0.38603947,0.38721213,0.382455,0.37670055,0.373719,0.3732752,0.37375855,0.37482104,0.37666404,0.37910065,0.38073507,0.38076484,0.3796486,0.3793335,0.38225937,0.3893945,0.39975914,0.41008386,0.41781044,0.4217941,0.42311355,0.42278424,0.42131093,0.41905347,0.41768658,0.41970444,0.42623234,0.43508193,0.4418126,0.44277784,0.4374217,0.4280022,0.41751054,0.40842757,0.40234855,0.40008715,0.40133366,0.40421882,0.40543887,0.4014399,0.38994622,0.37241575,0.35378218,0.3409017,0.33769786,0.34298956,0.35124174,0.35681394,0.35755864,0.35484585,0.35178843,0.35075805,0.35309982,0.35925555,0.36902115,0.3816794,0.39565203,0.40936676,0.42059636,0.42809746,0.4310026,0.43106946,0.43050054,0.43227324,0.43693832,0.44336817,0.44827485,0.4488066,0.4440538,0.43590167,0.42770514,0.42217267,0.4195445,0.41766664,0.41288283,0.4032497,0.38977608,0.37697983,0.3692156,0.3681326,0.3709251,0.37280324,0.3700793,0.36273876,0.3538846,0.3471847,0.34462842,0.3453246,0.34700695,0.34668455,0.3432124,0.3368095,0.32999876,0.32460716,0.32152054,0.31932965,0.3167806,0.31328073,0.30989644,0.3074587,0.3061665,0.3047693,0.30218956,0.29776445,0.29207328,0.2859709,0.28045252,0.2761159,0.27321377,0.2716389,0.27079478,0.27015302,0.2692692,0.26846305,0.26772055,0.26682892,0.2648245,0.26148036,0.25739977,0.25396624,0.25235382,0.25274864,0.25460678,0.2564762,0.257351,0.25677964,0.25583324,0.25550592,0.2564037,0.25749895,0.25764373,0.2556676,0.25184038,0.24697788,0.24251257,0.2392504,0.23730789,0.23626833,0.23560232,0.23560977,0.23670475,0.23962589,0.24380375,0.24847476,0.25208893,0.2540333,0.25368425,0.25146547,0.24808341,0.24487938,0.2429099,0.2423443,0.24271043,0.24290359,0.24252935,0.24144357,0.24045978,0.23999907,0.24043544,0.24104391,0.24089022,0.23830171,0.23188637,0.22037832,0.2040598,0.18541116,0.16948318,0.16189086]