[0.17642651,0.20469081,0.26002643,0.31927314,0.36356702,0.388633,0.39477375,0.38594112,0.36541042,0.3391964,0.3136482,0.29470637,0.28559884,0.28487906,0.28777206,0.28882483,0.28790572,0.28688195,0.28660205,0.2801313,0.26105967,0.22787456,0.18982477,0.15758015,0.13884367,0.13339968,0.13655676,0.1412152,0.14165133,0.1358072,0.12498658,0.11195401,0.0998618,0.09307525,0.097410806,0.11327859,0.13360247,0.14413351,0.13786182,0.117230974,0.09448353,0.0785956,0.07408931,0.0785844,0.08735106,0.09356683,0.093333684,0.087241985,0.080071665,0.07576638,0.076218374,0.082363814,0.095306836,0.11278427,0.12734862,0.13000995,0.11873397,0.10022771,0.08487544,0.07769638,0.0773923,0.07951992,0.08200657,0.08498478,0.08937352,0.09422464,0.09726145,0.097539626,0.098335415,0.10820466,0.1329285,0.17094265,0.20914675,0.23571126,0.24398045,0.23789626,0.22192164,0.20072277,0.17647626,0.15278566,0.13335304,0.12148122,0.11815945,0.1210983,0.12524837,0.12515622,0.118158065,0.10540939,0.09034658,0.07612822,0.06455479,0.056403875,0.052413568,0.053708017,0.0617083,0.07685181,0.09630588,0.114083044,0.123462416,0.12254855,0.11435568,0.10490117,0.0994552,0.10287347,0.12021574,0.14976376,0.18124653,0.19537528,0.18285961,0.14764439,0.10879191,0.082265116,0.07901806,0.10083827,0.14429557,0.1966241,0.23949641,0.25666907,0.2437829,0.21034734,0.17397012,0.15293778,0.15706462,0.18449186,0.22117297,0.25151733,0.26532903,0.26178744,0.24474095,0.22093324,0.19914067,0.18762915,0.1884477,0.1947863,0.1959398,0.18589969,0.16655795,0.14618494,0.1339776,0.13914406,0.16407187,0.20392336,0.2430393,0.2687502,0.27415243,0.26427755,0.24459063,0.22082973,0.19524108,0.17090172,0.15038504,0.13663282,0.13167237,0.13530149,0.14326221,0.14887667,0.14690419,0.13741484,0.124267094,0.112091385,0.10298992,0.09732058,0.09412239,0.09258333,0.09218118,0.093764395,0.09787098,0.1036248,0.10765639,0.10738072,0.102125816,0.09377962,0.08384677,0.0737,0.06460331,0.05846691,0.05625287,0.05729414,0.059875894,0.062635645,0.06517541,0.06782421,0.071491025,0.07709242,0.08436471,0.09095622,0.09384482,0.091971,0.08723002,0.082645796,0.080717795,0.08364666,0.09379279,0.11036972,0.12759551,0.13624065,0.13228652,0.119077854,0.10499939,0.09484888,0.088631354,0.08341077,0.07733371,0.07068369,0.06525766,0.06384926,0.0678403,0.07690531,0.08983619,0.109456204,0.1411495,0.188525,0.24416907,0.29269803,0.3170681,0.3107932,0.27833948,0.23293115,0.18816674,0.15410857,0.13429493,0.12716864,0.12830682,0.1335066,0.13999768,0.14675133,0.15385981,0.16271989,0.17625402,0.19807191,0.22935975,0.26523018,0.2948995,0.30767033,0.30060482,0.28137636,0.26331246,0.25794616,0.2695724,0.29415715,0.32132933,0.33901116,0.34160066,0.3336886,0.3292153,0.33828744,0.36114454,0.38464049,0.39711586,0.39399752,0.38210034,0.36757302,0.35187995,0.33289516,0.3120226,0.29597068,0.28895855,0.28783634,0.28245613,0.26661757,0.24511726,0.23402722,0.24828862,0.2904491,0.34638157,0.39624134,0.42558742,0.43118036,0.4162755,0.38691938,0.35042265,0.3151292,0.28656128,0.26438525,0.24290073,0.21639967,0.18396781,0.1535079,0.14159395,0.1704452,0.25399935,0.38876262,0.5473576,0.6958254,0.8043015,0.862156,0.8709643,0.8437147,0.79450274,0.73682547,0.6780279,0.6203434,0.5628245,0.5050381,0.45051143,0.4066236,0.3839133,0.38570318,0.40390432,0.41564253,0.40236577,0.359629,0.30496383,0.25888333,0.23440261,0.22809404,0.22921182,0.22596018,0.21220948,0.1884554,0.15993284,0.13425516,0.119253665,0.12345291,0.15201499,0.19858134,0.24264598,0.25839671,0.23541826,0.18442498,0.13064742,0.09352472,0.08198547,0.095004104,0.12976252,0.1803801,0.23739283,0.28595138,0.3101305,0.30153203,0.2669135,0.22999753,0.21410201,0.2285463,0.25932783,0.28824326,0.30262074,0.30278513,0.2896472,0.26408538,0.22910936,0.19538009,0.17743625,0.18247062,0.20422739,0.22402412,0.22510512,0.20498419,0.18103383,0.18247278,0.23158927,0.33287874,0.46638298,0.6040879,0.7158523,0.7853246,0.80548835,0.78516537,0.7388229,0.68421316,0.63183975,0.5860142,0.5452482,0.5074089,0.4723761,0.4441724,0.43055418,0.43518832,0.45142624,0.4589952,0.43953356,0.38893652,0.32471025,0.2692022,0.23665535,0.2245814,0.22297506,0.22101216,0.2132396,0.19855428,0.17925592,0.15916474,0.14440961,0.14363293,0.1651877,0.20584472,0.24784313,0.26441327,0.24343586,0.19289012,0.13772412,0.09792611,0.08513379,0.100581,0.14145766,0.1967402,0.24947445,0.28112543,0.28138232,0.25263917,0.20942684,0.17307635,0.16027902,0.17553599,0.2071561,0.23961075,0.2612642,0.2698169,0.26429787,0.24416433,0.21184611,0.1773225,0.15461485,0.15217228,0.16733374,0.18741165,0.19839074,0.19490583,0.18587701,0.19435804,0.24170054,0.33668634,0.46344432,0.5962766,0.70586395,0.77632636,0.80091095,0.7868164,0.7458341,0.6923108,0.6364671,0.58569854,0.5433778,0.50850385,0.47714838,0.44820166,0.428978,0.42721644,0.44188786,0.45375666,0.44253978,0.39892423,0.3378143,0.28063452,0.24435373,0.22851981,0.22425233,0.22021265,0.21069224,0.1949142,0.17564583,0.15727663,0.14609993,0.15033741,0.17669599,0.22024888,0.2626009,0.2777536,0.2545744,0.20142919,0.14319405,0.0998754,0.08351925,0.0964429,0.13757479,0.19739258,0.25875154,0.30061027,0.30892777,0.2835714,0.23928034,0.20076452,0.1875896,0.20481591,0.23739369,0.26744458,0.28283513,0.2839167,0.27154657,0.24678506,0.21169959,0.17558809,0.15017436,0.14333326,0.1527474,0.16831511,0.1772409,0.17487265,0.16893224,0.18143894,0.23236807,0.33033717,0.45960823,0.5952341,0.70749325,0.7796046,0.80295485,0.78320295,0.7298537,0.65393716,0.5626644,0.4645246,0.37140217,0.2944508,0.2368325,0.19231008,0.15275034,0.115268864,0.08308121,0.060797688,0.051199395,0.055646513,0.07526428,0.10917151,0.15140717,0.19051968,0.2150345,0.22006994,0.21087444,0.19855244,0.19281495,0.19578463,0.20285164,0.2074702,0.20737779,0.20556156,0.20803191,0.21680534,0.22636206,0.22532023,0.20674355,0.17767572,0.15626961,0.15907194,0.18417029,0.2139933,0.22659385,0.2165414,0.19427775,0.1779394,0.17453031,0.1787263,0.17859751,0.1682906,0.15019323,0.1320696,0.12010182,0.11571136,0.115049265,0.112276234,0.10296806,0.086776815,0.06674633,0.047461282,0.032297153,0.022526631,0.017389633,0.018081112,0.030724818,0.06865246,0.14209954,0.25069872,0.3751768,0.4918249,0.58025616,0.6348389,0.6538284,0.63822794,0.5860529,0.5017074,0.39599654,0.28871924,0.1978544,0.13443519,0.09665787,0.076533064,0.064997904,0.057462033,0.05240498,0.049671527,0.04838929,0.047456834,0.046079457,0.04439189,0.042494077,0.040257823,0.037258416,0.033847872,0.03093891,0.029576177,0.029764714,0.030508084,0.030325511,0.02852921,0.02574464,0.023588946,0.023350233,0.0250121,0.0274748,0.030498654,0.037276417,0.054389846,0.08808064,0.13641578,0.18760727,0.22456348,0.2390923,0.23614953,0.23151726,0.23608087,0.2507808,0.26553681,0.27192846,0.26812825,0.26208475,0.26300147,0.2753588,0.29424974,0.30888507,0.3095515,0.2938197,0.26731506,0.23743476,0.20786524,0.1775252,0.14552209,0.11381784,0.08957028,0.083300464,0.11094391,0.18273878,0.29991558,0.4426508,0.5865844,0.704089,0.78230095,0.8140273,0.80557734,0.76707864,0.71357757,0.65641093,0.602734,0.5547433,0.51090914,0.46981272,0.4336513,0.41173783,0.41165903,0.43086424,0.4492527,0.44417834,0.40495428,0.34550917,0.29045483,0.2579883,0.24610072,0.23918176,0.22366278,0.19857647,0.17561144,0.1664998,0.17506863,0.19579874,0.2220633,0.2531833,0.28888538,0.3255093,0.34851635,0.34689498,0.31516993,0.26339966,0.20673822,0.16452383,0.1482631,0.15829258,0.18104208,0.1991486,0.20198512,0.19195302,0.18063349,0.18000716,0.19689722,0.22707371,0.25921696,0.27671763,0.27202907,0.24814242,0.21888314,0.19438319,0.17679907,0.16068418,0.14116012,0.11777096,0.09418324,0.07546935,0.06477599,0.06155932,0.06408862,0.074475735,0.10406523,0.16495797,0.2610589,0.37657556,0.4886581,0.5757137,0.6294692,0.6452053,0.62017465,0.55311376,0.45372307,0.34343007,0.2467282,0.17884485,0.13938889,0.117546074,0.10155124,0.08583196,0.07144042,0.06145617,0.057154793,0.056295987,0.05598849,0.05474245,0.05397295,0.05609904,0.06263447,0.07245815,0.08230272,0.08859429,0.08961723,0.08568159,0.07815673,0.06807573,0.056768462,0.04632305,0.03937165,0.037270743,0.038833503,0.04123805,0.04219124,0.043009136,0.049498033,0.07058891,0.111813605,0.1681457,0.22274952,0.25622377,0.26162335,0.2489807,0.23864156,0.24387246,0.26502976,0.28928232,0.30375835,0.30146655,0.28803065,0.27504483,0.2733533,0.2840272,0.29929194,0.3095,0.30857375,0.29642752,0.2736886,0.24278374,0.20579499,0.16776335,0.13555586,0.11983291,0.13620894,0.19653077,0.30367884,0.43981734,0.58039707,0.6975878,0.77709943,0.8115627,0.8057701,0.7694116,0.71700174,0.66045934,0.6069813,0.5589729,0.5152911,0.47468957,0.43807626,0.41330728,0.40866876,0.42497233,0.4453713,0.44703385,0.41674498,0.36549792,0.31683245,0.28821015,0.27708808,0.26805916,0.24966449,0.22463317,0.20725815,0.20909894,0.22941191,0.2561332,0.27797303,0.29605213,0.31754783,0.34511873,0.36376262,0.3567522,0.3158678,0.25576785,0.19887972,0.1668129,0.16566367,0.18711667,0.21246892,0.22463275,0.21860038,0.20235316,0.19036902,0.19319637,0.21442081,0.24929023,0.28692913,0.31236076,0.31571785,0.29859972,0.27317423,0.2500905,0.23059504,0.20806903,0.178223,0.1430314,0.10964235,0.08375012,0.06842194,0.06254785,0.06520773,0.077946715,0.109922886,0.17028944,0.2617868,0.37055123,0.47723874,0.5634616,0.6212895,0.64391905,0.6251063,0.5614566,0.46248436,0.351297,0.25398442,0.18700737,0.1502663,0.1337562,0.12830545,0.13464308,0.16168626,0.21474393,0.28559747,0.35249314,0.39451957,0.40346828,0.3853711,0.3536375,0.3194896,0.29197443,0.27341613,0.26388764,0.25796232,0.2519658,0.24342193,0.23570873,0.23521811,0.24986197,0.28211573,0.32725874,0.37355754,0.41047296,0.43040597,0.43233803,0.41866484,0.3986989,0.3819896,0.3745613,0.3710074,0.3624848,0.34380892,0.32140794,0.3068609,0.30957392,0.33095834,0.36564347,0.40493104,0.43887225,0.4597843,0.46465158,0.45666787,0.4411579,0.42165872,0.39794347,0.36881283,0.33420685,0.29634896,0.25819033,0.22256398,0.19118081,0.16542774,0.14825743,0.14584662,0.16807319,0.22137173,0.3061701,0.41121158,0.52262527,0.62163234,0.69342214,0.72555923,0.7188666,0.6827524,0.62947387,0.5622072,0.4789412,0.38181758,0.28736863,0.21815558,0.18911785,0.19319648,0.20808183,0.21022622,0.19156827,0.15936626,0.12971008,0.11632069,0.12661107,0.15816702,0.19984655,0.23457861,0.24730934,0.23241006,0.19707786,0.15784322,0.13322243,0.13473023,0.16232412,0.20364521,0.24179024,0.26294914,0.26316988,0.2461514,0.21896382,0.18738152,0.15609719,0.13059783,0.117575854,0.12329793,0.1492474,0.191975,0.24170715,0.28815633,0.32150188,0.33975402,0.34578004,0.34721196,0.34847865,0.35106686,0.35298988,0.3527311,0.34935126,0.34341347,0.33596373,0.3292929,0.3245975,0.32239705,0.32022426,0.3162838,0.30934536,0.30210057,0.29887113,0.3045503,0.322574,0.35270202,0.3940085,0.44366148,0.5002122,0.55615014,0.5986101,0.61199385,0.5902683,0.54226655,0.48500693,0.4337281,0.39404142,0.36592355,0.3460771,0.3317765,0.3199171,0.30743194,0.28971383,0.26141676,0.21971868,0.16906494,0.12155619,0.09144271,0.087520875,0.10877854,0.14489265,0.17977946,0.19823332,0.1934823,0.17296146,0.15432753,0.15422416,0.17717202,0.21494572,0.2562953,0.29281965,0.3209461,0.33475402,0.32958674,0.30284733,0.26021853,0.21145256,0.16805781,0.1384651,0.12581494,0.1281559,0.14053293,0.15860043,0.17946346,0.20130318,0.22310139,0.24530625,0.26861322,0.29184794,0.31056952,0.32025418,0.31953967,0.31073248,0.29765126,0.283157,0.26969755,0.25891152,0.2517937,0.24806817,0.2465183,0.24559927,0.2430781,0.23827542,0.23335405,0.23519564,0.24840792,0.27045873,0.2879716,0.28843102,0.26773933,0.23513156,0.20258163,0.17819856,0.16224135,0.15197046,0.14516975,0.14142452,0.14043666,0.13991825,0.13711034,0.13218461,0.13146198,0.14380594,0.17198952,0.20659834,0.22978492,0.22852941,0.20348929,0.16805436,0.13722491,0.11920669,0.11307078,0.11289353,0.11274949,0.109689854,0.10369744,0.09594726,0.08874025,0.08680677,0.09809685,0.12741695,0.16982637,0.20768863,0.22251906,0.20677485,0.17059119,0.13318248,0.11329836,0.12108097,0.15601721,0.2063458,0.25257096,0.27513945,0.263504,0.22247702,0.17151974,0.13727656,0.13932514,0.1791595,0.23861629,0.29255733,0.32237247,0.32295653,0.2994872,0.26395717,0.23129493,0.2142856,0.21490544,0.22303705,0.22320242,0.20702477,0.17650038,0.14127792,0.112880915,0.103167474,0.12045006,0.16182898,0.20975475,0.24083388,0.24542384,0.23551978,0.23541184,0.25874892,0.29952443,0.33833095,0.36014286,0.36077437,0.3439977,0.31233284,0.26735267,0.21435015,0.16727878,0.14329685,0.15091456,0.18212943,0.21543026,0.232234,0.22784178,0.21335816,0.20215456,0.20038956,0.20315345,0.20164649,0.18986797,0.16889042,0.14431587,0.12198209,0.10555509,0.09840303,0.10607368,0.13202868,0.17132662,0.2069736,0.22055657,0.20402579,0.16636653,0.1255502,0.099344514,0.099398606,0.12980981,0.18522614,0.24917476,0.29913387,0.31509104,0.29060724,0.23675281,0.18062012,0.15327948,0.17195837,0.22873683,0.29283074,0.33330205,0.33444622,0.30330554,0.25645843,0.21264637,0.18486714,0.17974927,0.19316833,0.21196544,0.21989477,0.20799313,0.17818362,0.14267822,0.11726492,0.11709794,0.14578874,0.19239582,0.23245601,0.24911563,0.24433027,0.23966046,0.25336376,0.28495848,0.31580845,0.32599062,0.31141815,0.28198162,0.25207373,0.22587138,0.20052,0.17331421,0.15199625,0.14892615,0.1691645,0.20163481,0.22575949,0.2285043,0.21257764,0.19255985,0.1801117,0.17850058,0.18255804,0.18564172,0.18256749,0.17198646,0.1556819,0.13850139,0.1274005,0.1307264,0.15236604,0.18679565,0.21730153,0.22677237,0.20834284,0.170996,0.13214007,0.10936896,0.11338178,0.14557786,0.19561476,0.24445057,0.27173302,0.26619855,0.23005159,0.17838185,0.13335848,0.11788398,0.14403415,0.20616065,0.27992454,0.3373895,0.35970128,0.34498498,0.30313078,0.25086388,0.20638458,0.18354733,0.18585183,0.20400245,0.22166725,0.22437696,0.20689283,0.17618626,0.1477691,0.13868666,0.15492566,0.18735062,0.21558894,0.22621806,0.22141047,0.21648443,0.22248729,0.23724866,0.24814628,0.24419373,0.22437541,0.19635029,0.16994762,0.14923325,0.1333459,0.12054532,0.11544859,0.1225616,0.14129795,0.15956698,0.16726057,0.16201656,0.15367782,0.15051162,0.1546747,0.16026759,0.16157804,0.15787466,0.15509881,0.16320795,0.18714678,0.22414713,0.26392278,0.30079433,0.33369294,0.36451662,0.38930538,0.40288463,0.4026109,0.39069626,0.3713266,0.34929422,0.33309042,0.3302667,0.3428476,0.36008152,0.36640954,0.34926212,0.310734,0.26577753,0.23902695,0.2475133,0.29287395,0.35479072,0.40948725,0.43856215,0.43927026,0.41375312,0.36903378,0.3140723,0.26253802,0.2262627,0.20910282,0.20469786,0.20117718,0.18952751,0.1699922,0.15319844,0.15676011,0.19439757,0.27084422,0.37649226,0.49596348,0.60835963,0.695353,0.7418146,0.7456352,0.71648026,0.6715658,0.6246474,0.58206314,0.543371,0.5053264,0.46592507,0.42787644,0.4006202,0.394251,0.4106153,0.4364983,0.45261875,0.44526497,0.41574034,0.37336373,0.33006048,0.29330876,0.26736322,0.2509214,0.24049191,0.23261835,0.22603698,0.21943992,0.21270199,0.2096824,0.22042811,0.24801047,0.2819698,0.29637,0.27562812,0.22251074,0.16058953,0.11031898,0.08330027,0.07877174,0.09215623,0.11483223,0.13725297,0.15102845,0.15343285,0.14731146,0.14047436,0.14229171,0.15863003,0.18676431,0.21544391,0.23386954,0.23711585,0.22713237,0.20594673,0.17784375,0.1502014,0.1337583,0.13345256,0.14576726,0.16159934,0.17336111,0.17688495,0.17277889,0.16775621,0.17680335,0.21484523,0.2895135,0.39384326,0.5137318,0.6306019,0.7269524,0.7869168,0.8033786,0.7813347,0.7354259,0.68168736,0.63012415,0.58308667,0.5378014,0.49226677,0.45018733,0.4222536,0.41843358,0.43807712,0.46499398,0.47751,0.46093515,0.416495,0.35563824,0.29448548,0.24526502,0.21406756,0.19816454,0.19034064,0.1846429,0.1783753,0.17086847,0.1625097,0.1583807,0.16953844,0.20050116,0.24173494,0.26621902,0.25564364,0.20941593,0.1502816,0.10004154,0.07279005,0.069563694,0.08649993,0.11489087,0.1433354,0.16105498,0.16351599,0.15457094,0.1444568,0.14468099,0.161972,0.19336237,0.22678606,0.24882591,0.25219205,0.23766464,0.20941864,0.17381246,0.13988294,0.118609525,0.11638415,0.13056642,0.15188593,0.17036356,0.17969431,0.17889261,0.17445765,0.1814919,0.21672082,0.28957343,0.39459762,0.51631945,0.6342978,0.72918195,0.7856086,0.79759693,0.77133346,0.7217891,0.66513443,0.6121137,0.5659488,0.52408427,0.48336264,0.44547728,0.41990852,0.4161849,0.43437728,0.45816532,0.46648526,0.44580564,0.40008822,0.3421501,0.28664717,0.24235223,0.21283098,0.19602501,0.18690586,0.18132572,0.17683463,0.17203937,0.16605301,0.16220726,0.17031169,0.19574499,0.23179285,0.25478283,0.24703217,0.20624441,0.15179929,0.10356679,0.07502463,0.06854374,0.08169817,0.107317485,0.13403334,0.15095901,0.15294953,0.14422023,0.13489996,0.13635843,0.15439115,0.18539126,0.21747059,0.23871554,0.2435475,0.23294331,0.20957,0.17856206,0.14930917,0.13337195,0.13554917,0.14979607,0.16502829,0.17309791,0.17242475,0.16590413,0.16188301,0.1756651,0.22390969,0.31441462,0.43622193,0.56632906,0.67919534,0.758383,0.796566,0.7961069,0.7656646,0.71806854,0.6652762,0.615582,0.5719063,0.5327254,0.4952383,0.46019766,0.43500042,0.42883125,0.44303775,0.4647542,0.47368002,0.45562497,0.41145316,0.35310003,0.29524618,0.24823259,0.21655048,0.1984998,0.18866873,0.18207836,0.17555289,0.16766323,0.15836807,0.15247805,0.16075902,0.18863516,0.22827445,0.25452223,0.24850424,0.20769401,0.15206793,0.10231838,0.07222421,0.06418157,0.07557235,0.099568985,0.12492839,0.14129318,0.14363535,0.13667452,0.1309102,0.13830264,0.16522412,0.20762642,0.25236523,0.28427336,0.29496384,0.28295287,0.25129807,0.20637779,0.15984182,0.12537926,0.11125488,0.11551037,0.12985545,0.14511754,0.15544438,0.15692008,0.14966248,0.13817044,0.13148522,0.13735266,0.15628494,0.17978229,0.19511282,0.19413888,0.17930883,0.16314586,0.16116603,0.18085575,0.21512763,0.24597037,0.26061764,0.26448694,0.27587214,0.30316368,0.3307452,0.33147517,0.2950762,0.24014734,0.19826168,0.18634033,0.19528078,0.20212428,0.19177665,0.17012243,0.15737699,0.17256498,0.21693833,0.27365652,0.31621945,0.32587954,0.2995274,0.24983001,0.19525127,0.15194084,0.12841143,0.12579107,0.14041524,0.16769814,0.20223337,0.23528475,0.2560819,0.25906807,0.250314,0.24216764,0.24150908,0.24497877,0.24499965,0.2401119,0.23500143,0.23623694,0.2454588,0.25991726,0.27462366,0.28622293,0.2933809,0.29565635,0.29206577,0.28469336,0.2811978,0.29365492,0.3268758,0.37125584,0.4042224,0.40633845,0.37322596,0.31953534,0.26936236,0.24653257,0.26341298,0.31758744,0.3928471,0.47072625,0.5380903,0.5898996,0.6238959,0.63887984,0.6357308,0.6178852,0.5903542,0.5569916,0.5214347,0.48612878,0.4542795,0.43047595,0.42218706,0.43538484,0.4659551,0.4959743,0.5007045,0.468142,0.40814495,0.3470752,0.30509928,0.2843251,0.2703993,0.2495342,0.21975051,0.19186485,0.17778172,0.1786101,0.18500902,0.18826205,0.19435811,0.21479315,0.25322074,0.2901985,0.30217907,0.27617833,0.2246321,0.17032655,0.13576478,0.1296302,0.14600724,0.16692992,0.1743577,0.16288982,0.14329766,0.132114,0.13814114,0.15770458,0.18333589,0.20918794,0.23422639,0.25471452,0.26763463,0.26697388,0.25141475,0.22205025,0.19097807,0.17322849,0.17929728,0.20159519,0.22081178,0.21903212,0.19334225,0.1555896,0.12540838,0.123454966,0.16370083,0.24841821,0.36505494,0.4940609,0.615745,0.7136223,0.77390546,0.7887735,0.76309067,0.71217394,0.65408134,0.59976333,0.55306953,0.51345086,0.47979572,0.45310465,0.43749103,0.43933702,0.4568398,0.4766504,0.4752594,0.4397891,0.3757397,0.30694726,0.25404063,0.22460163,0.21065615,0.2009904,0.18901525,0.17654963,0.16910432,0.1693477,0.17435767,0.1801343,0.18980615,0.2109071,0.24554162,0.27931222,0.29100427,0.2675361,0.21730065,0.16243598,0.12697689,0.12323474,0.14830257,0.18533705,0.21458948,0.22450691,0.21792376,0.20493339,0.19484644,0.19106267,0.19609682,0.2102151,0.23223104,0.25515378,0.2742177,0.28587356,0.28913334,0.28015706,0.25933558,0.2347735,0.21943559,0.21804297,0.2214966,0.21473698,0.19041766,0.15520035,0.12599346,0.122885264,0.16099912,0.24352825,0.35948762,0.4880806,0.60634565,0.6893577,0.7143488,0.6707112,0.57488054,0.46581984,0.38037476,0.33190647,0.30978215,0.29924658,0.29277384,0.28979167,0.28865218,0.2853217,0.27700236,0.26450017,0.25201127,0.2438662,0.2424013,0.24583733,0.24799578,0.24057801,0.21753734,0.17968358,0.13478048,0.09331099,0.062401235,0.043290053,0.035278436,0.040722292,0.06729582,0.11736218,0.1801477,0.22902142,0.2417,0.21402435,0.16546774,0.121127725,0.098902486,0.10341015,0.12959842,0.16506284,0.19266917,0.19964945,0.18705143,0.17111339,0.16867895,0.18225761,0.19609778,0.19307105,0.169191,0.13998905,0.12342035,0.1272694,0.14080471,0.14837106,0.13966426,0.117498435,0.0906002,0.06735382,0.05087623,0.040520992,0.033980437,0.030609375,0.034104377,0.053489666,0.09843018,0.17227094,0.2694204,0.38027704,0.4976333,0.6141145,0.71798605,0.7929291,0.828806,0.8267626,0.7959258,0.7442439,0.6762076,0.59788376,0.5197292,0.45241833,0.399328,0.3542019,0.30840826,0.2578885,0.20803334,0.16818781,0.14742213,0.14606647,0.15598081,0.16190444,0.15328263,0.12888156,0.09795395,0.07033575,0.051334616,0.039953362,0.03314742,0.0299185,0.033489805,0.05126825,0.08745734,0.13679747,0.1804908,0.1991622,0.18582289,0.15588988,0.13465054,0.14087611,0.17246388,0.2114046,0.23768705,0.24296583,0.23170607,0.21192546,0.18660456,0.15484872,0.12118998,0.101386905,0.11527903,0.17068493,0.2516815,0.3248386,0.35929677,0.34525037,0.29504365,0.23044737,0.16885339,0.11881176,0.08233787,0.05825986,0.044057935,0.03804062,0.04247144,0.06546864,0.11747118,0.20260389,0.31127524,0.41886118,0.49447075,0.51275414,0.4680334,0.37815467,0.27664462,0.1933883,0.14024651,0.111546636,0.0953008,0.0839231,0.07567793,0.071139514,0.06963987,0.069298,0.06888824,0.068787076,0.070063345,0.07304549,0.07687393,0.080806755,0.08450488,0.08867083,0.093416385,0.09919267,0.105633,0.11317427,0.12161857,0.1312324,0.14155091,0.15237612,0.16320373,0.17385627,0.18408112,0.19380873,0.20297486,0.2117622,0.22032966,0.22880633,0.2372996,0.24663858,0.2586756,0.2754664,0.29679787,0.318156,0.33175942,0.331309,0.31674048,0.2948006,0.27457276,0.26260316,0.26098716,0.2685313,0.28175792,0.2949599,0.30167484,0.29805112,0.28687194,0.27577162,0.2719657,0.27465278,0.27623937,0.26720193,0.24500626,0.21472423,0.18849804,0.18003114,0.20262946,0.26073465,0.34918308,0.4503219,0.5467694,0.6215536,0.66620636,0.67346793,0.6440323,0.5839665,0.508202,0.4334902,0.37154648,0.32336834,0.28082436,0.23654218,0.19027774,0.14932416,0.12012685,0.10392844,0.09730923,0.09746527,0.10463024,0.11994625,0.14283319,0.16852707,0.19039834,0.20152473,0.1987531,0.18342245,0.16101716,0.13756959,0.11696804,0.100317866,0.08708734,0.07625267,0.066710405,0.057639554,0.04902622,0.041708767,0.03692774,0.036079828,0.041665964,0.05821675,0.09164151,0.1446354,0.21178894,0.27713817,0.31981316,0.32342264,0.28648907,0.22399843,0.16199882,0.12391314,0.12212775,0.15244292,0.20017189,0.2444554,0.26900622,0.26563913,0.23988302,0.20645244,0.18418072,0.18448138,0.205096,0.22962208,0.23854017,0.22233021,0.19007641,0.16478966,0.17180063,0.22317295,0.31437147,0.4229741,0.5196627,0.5725234,0.56679946,0.5112991,0.43956503,0.38142255,0.34693065,0.32363102,0.2994342,0.27126274,0.24400109,0.21784134,0.18956797,0.15682329,0.12355583,0.09601351,0.078344434,0.07092002,0.07277986,0.08354855,0.10236355,0.12645526,0.15079816,0.17018084,0.18072312,0.18130054,0.17325288,0.15960275,0.14347906,0.12721229,0.112345375,0.099535875,0.088568814,0.07823805,0.06748845,0.05634327,0.046287764,0.04019824,0.04254454,0.05974294,0.096802175,0.15218608,0.21323736,0.26062137,0.2775912,0.25950536,0.21513288,0.161916,0.11913029,0.10079098,0.11183331,0.14586236,0.1896965,0.22757249,0.24739663,0.24283886,0.2172518,0.18278523,0.15636174,0.15003686,0.1645627,0.1893848,0.20893653,0.21179092,0.19843124,0.18463536,0.19642097,0.25370213,0.35911322,0.49163446,0.6225303,0.72331375,0.7806098,0.7917544,0.7670209,0.720221,0.6650941,0.611388,0.56368965,0.52421236,0.4896008,0.45853782,0.43160126,0.4187124,0.4239397,0.44170198,0.44930542,0.4299387,0.3812138,0.3224214,0.27314463,0.24424045,0.23115863,0.22482604,0.21669744,0.20362104,0.1861298,0.16739649,0.15191573,0.1458003,0.15644781,0.18731053,0.23068254,0.26612556,0.2718732,0.24102235,0.18665743,0.1329018,0.1001756,0.10033225,0.13486566,0.19618736,0.2653297,0.31948602,0.34000087,0.32140145,0.27240905,0.2141329,0.17508413,0.17481671,0.21434557,0.26963076,0.31429484,0.33024132,0.3190103,0.28732586,0.24588813,0.20492126,0.17719229,0.17065543,0.18293363,0.20099153,0.20918907,0.19930144,0.17695421,0.16029854,0.17423038,0.23526971,0.34475824,0.4817601,0.61816984,0.7245216,0.7865495,0.80043644,0.7744202,0.7165814,0.6343966,0.53483814,0.43020764,0.33562496,0.26114705,0.20597494,0.1623208,0.12389324,0.09072679,0.06619642,0.053471927,0.054347735,0.07149915,0.10629011,0.15502627,0.20497493,0.24004583,0.24962883,0.237356,0.21809418,0.20801955,0.21344088,0.22878897,0.24340677,0.25046355,0.25112233,0.25162384,0.2569026,0.26405534,0.26312286,0.24481855,0.21327281,0.18586127,0.18213882,0.20442821,0.23625152,0.25379997,0.24748923,0.22634254,0.20922513,0.2060969,0.21295385,0.21705155,0.21044965,0.19379534,0.17552197,0.1636758,0.16216515,0.16702163,0.16965465,0.16131455,0.13922887,0.107631914,0.07487627,0.0481887,0.030595757,0.021006003,0.017737791,0.023122856,0.046412084,0.10032012,0.19080137,0.30885762,0.43138048,0.5348852,0.606111,0.6439758,0.6503751,0.6230157,0.55921584,0.46261528,0.35077694,0.24576522,0.16573599,0.114178024,0.08519044,0.06911461,0.0597222,0.05411318,0.051249806,0.050240707,0.049714673,0.04870069,0.04686616,0.04471383,0.04244487,0.039920922,0.036908925,0.033906844,0.031768937,0.031106448,0.031517994,0.031919025,0.031118339,0.028814657,0.025780782,0.023569465,0.023301264,0.024892135,0.026968116,0.028264211,0.029128613,0.03293969,0.045610894,0.07309644,0.115997255,0.16612881,0.20870267,0.23210526,0.23619087,0.23255205,0.23425512,0.24614124,0.2618152,0.27140304,0.2703687,0.26481926,0.26752982,0.28912947,0.3290545,0.37239185,0.3974302,0.38891816,0.3488287,0.2929617,0.23854248,0.19330257,0.15651527,0.12847328,0.117495425,0.1405014,0.21001391,0.32677126,0.470589,0.6145129,0.7296357,0.80151707,0.8251808,0.80914825,0.76542383,0.7086749,0.65001607,0.5969422,0.55151635,0.51147324,0.47466707,0.4436833,0.42816404,0.43408135,0.45524284,0.46805248,0.4515606,0.4015667,0.33938822,0.28904614,0.262488,0.25021198,0.23856072,0.22032295,0.20237775,0.19512181,0.20437165,0.22471516,0.24651913,0.26436618,0.28307092,0.3089206,0.34013888,0.3607101,0.3539431,0.31348377,0.25350413,0.19764967,0.16832455,0.1714495,0.19599552,0.22067688,0.22953351,0.22085346,0.20594245,0.19852357,0.20663756,0.23035078,0.26240134,0.29105386,0.30285802,0.2935274,0.26850685,0.24117236,0.21798211,0.19816898,0.17529953,0.14748059,0.11721193,0.090417765,0.07166221,0.06263074,0.061107337,0.065198965,0.07827426,0.1129056,0.18092161,0.28341067,0.4017993,0.5113919,0.5914913,0.63524836,0.64035493,0.60609007,0.53332293,0.43253592,0.32474682,0.2327757,0.16993433,0.1341211,0.113998294,0.09829953,0.08269938,0.06890318,0.060006097,0.056623522,0.056237906,0.055916246,0.05459866,0.053823445,0.056204442,0.06302221,0.07310731,0.0828006,0.08860853,0.088827305,0.08415974,0.07598227,0.06547201,0.05403753,0.044077594,0.038194355,0.0372947,0.03949341,0.04167368,0.042615667,0.046402592,0.06183678,0.097475864,0.15158711,0.20962882,0.24972121,0.26086855,0.24893342,0.23468947,0.23445362,0.25280312,0.27918112,0.29976547,0.3047366,0.29516482,0.2808814,0.2730811,0.27732715,0.28909183,0.3006209,0.30377424,0.2959593,0.27530447,0.24399006,0.20550495,0.16715729,0.13450567,0.11304623,0.10925033,0.1362742,0.20512132,0.31829146,0.45798787,0.59909797,0.71368057,0.787366,0.8141045,0.8012205,0.7603462,0.7062625,0.64979,0.5978698,0.55288905,0.5135353,0.47806302,0.4481279,0.43234134,0.43687937,0.457379,0.47189167,0.45929578,0.41284475,0.35076264,0.29579988,0.261072,0.24075718,0.22414511,0.20611675,0.19173004,0.18907075,0.20004089,0.21737252,0.2309553,0.23880166,0.25146496,0.27809414,0.31389824,0.33506763,0.3222185,0.27386424,0.21290515,0.16541587,0.14816664,0.1586501,0.18213004,0.19996814,0.20161827,0.18963945,0.17565523,0.1713236,0.18092757,0.20408396,0.23564391,0.26800212,0.28812563,0.28796855,0.26833603,0.24023081,0.21219921,0.18586415,0.15823545,0.12906389,0.10197126,0.080870084,0.067449845,0.06140004,0.061386168,0.06741661,0.08314186,0.11913034,0.18464415,0.28061238,0.39073905,0.49503127,0.5758144,0.62704474,0.6419241,0.61511976,0.5441957,0.44183645,0.3321493,0.24061768,0.18041462,0.14894311,0.1351944,0.13134894,0.14041571,0.17178303,0.22879177,0.29958415,0.361864,0.39697587,0.40050712,0.37960565,0.3471674,0.3133866,0.28687844,0.269621,0.26097608,0.25565508,0.25022689,0.24271311,0.23613445,0.23658442,0.25220954,0.2857106,0.33287445,0.38070562,0.41792712,0.43619612,0.43664905,0.42397726,0.4075108,0.3932277,0.3821647,0.36927173,0.35073662,0.32908347,0.31306997,0.3108569,0.32506207,0.35151914,0.38424423,0.416425,0.44329298,0.4600706,0.4659373,0.4619781,0.4509711,0.433686,0.409333,0.377638,0.3394611,0.29788998,0.25604722,0.21756959,0.18511252,0.16305412,0.15761547,0.17883979,0.23210077,0.31768546,0.42430124,0.54036325,0.64913565,0.73640466,0.78616005,0.79319125,0.76339275,0.7123377,0.65437126,0.597374,0.5439067,0.49391714,0.44885775,0.4126204,0.39425015,0.39999935,0.42745253,0.45786586,0.46982336,0.44900513,0.40149555,0.34285307,0.29139975,0.2538999,0.22829755,0.2065621,0.18564893,0.170147,0.1678394,0.18109208,0.20453602,0.23124842,0.260367,0.2917947,0.32230663,0.33944222,0.33520898,0.30658853,0.26145184,0.20940298,0.16520368,0.14198391,0.14698009,0.17294157,0.20278464,0.21973582,0.21854931,0.20705955,0.1990542,0.20576562,0.22756028,0.25690246,0.28175834,0.2963934,0.29935876,0.2930145,0.27691534,0.253663,0.23034553,0.21777482,0.22030473,0.23110719,0.23700319,0.22725199,0.20050502,0.16164663,0.119361155,0.08068159,0.05090568,0.031184176,0.020258795,0.015093718,0.013150503,0.012651115,0.01268072,0.012723286,0.012516434,0.012025422,0.011436518,0.011022187,0.010907871,0.010984294,0.011010945,0.01084797,0.010520739,0.010207868,0.010064346,0.010172502,0.010437706,0.010721794,0.010867305,0.010870238,0.01077357,0.010678259,0.010615154,0.010618467,0.010699622,0.010858254,0.011047158,0.011186247,0.011251408,0.011286036,0.011409939,0.0116568655,0.01195851,0.012106519,0.011963516,0.011501404,0.011903529,0.017402863,0.03676005,0.07945831,0.146752,0.2250038,0.2897886,0.3219926,0.32007876,0.30131933,0.28834268,0.29612663,0.32463324,0.36065587,0.38770652,0.3947023,0.38445184,0.36766276,0.35770985,0.36045662,0.37721014,0.40386763,0.43362644,0.453002,0.4477239,0.41017318,0.34827852,0.28012553,0.22368453,0.18700308,0.16946507,0.16617386,0.17086297,0.17640544,0.17604934,0.16762738,0.1538697,0.14043535,0.13059263,0.12431166,0.120358825,0.12018598,0.12938905,0.15199228,0.18504913,0.21535166,0.229019,0.2196502,0.19331837,0.16150685,0.13570319,0.12424612,0.13225608,0.15823478,0.19199066,0.21822369,0.22588612,0.2143992,0.19288296,0.17419432,0.16815887,0.17611516,0.18958093,0.1958084,0.1890422,0.17429686,0.16260575,0.1577607,0.15491544,0.14588477,0.13114627,0.119945504,0.1228173,0.14046264,0.1613953,0.1708948,0.16157281,0.13906817,0.116383694,0.107161365,0.11842826,0.1481064,0.18425566,0.20990324,0.21231277,0.19031388,0.15646099,0.12921245,0.124584906,0.14633389,0.1846206,0.21891469,0.23021962,0.2116148,0.17422508,0.14025246,0.12902047,0.14407833,0.17143047,0.19241893,0.19765116,0.19316624,0.18881409,0.1874751,0.18111451,0.16177449,0.12976858,0.09440268,0.065751225,0.04814543,0.04138792,0.045167536,0.06340972,0.09813002,0.14451864,0.18675144,0.20925535,0.20465045,0.17937191,0.14554374,0.11522012,0.09734575,0.09845423,0.12196902,0.1635108,0.21072863,0.24567604,0.25564653,0.23954922,0.2106816,0.18680291,0.17826383,0.18094355,0.18185532,0.17318296,0.15819629,0.1472764,0.14444149,0.14436577,0.13768043,0.12279009,0.10875746,0.10845327,0.12632255,0.15265511,0.17010991,0.16720253,0.14671093,0.123062246,0.112713255,0.12538873,0.15908827,0.19975771,0.22705321,0.22598206,0.19638276,0.15367126,0.11852393,0.10613513,0.119214855,0.14910638,0.17921978,0.19321537,0.1829301,0.15538381,0.12897187,0.12186942,0.1382022,0.16552103,0.18629311,0.19178246,0.18772174,0.18379076,0.18357833,0.18024836,0.16569759,0.13793291,0.10386022,0.07309425,0.052021224,0.04208341,0.04319474,0.05784523,0.08842745,0.13180463,0.17488678,0.20159052,0.20241803,0.18070662,0.14833942,0.11869604,0.10310235,0.10933294,0.13982575,0.18730511,0.23582347,0.26683173,0.26924044,0.24515802,0.20908721,0.17943954,0.1668809,0.16815062,0.17033112,0.16418447,0.15121233,0.14024878,0.135598,0.13322367,0.12598659,0.11338218,0.103564076,0.1065739,0.124277115,0.14693134,0.15958719,0.15367039,0.13277985,0.1097127,0.09767955,0.10451558,0.12970944,0.16489667,0.1949544,0.2053678,0.1902738,0.15927939,0.1321012,0.12680823,0.14743252,0.1812135,0.2078465,0.2111911,0.19018649,0.15759607,0.13443844,0.13573618,0.16227198,0.19856323,0.22633092,0.23634346,0.23353909,0.2255074,0.21474583,0.19651417,0.168199,0.13263634,0.097412966,0.06892762,0.049961448,0.04067394,0.04167332,0.056427255,0.08754315,0.13145879,0.17475145,0.20123036,0.20164745,0.1794877,0.14627175,0.11320991,0.08675531,0.068483904,0.058350842,0.055611152,0.060223315,0.0705302,0.083288014,0.09269109,0.095045835,0.08977442,0.080572695,0.07103199,0.06412185,0.061694246,0.06574764,0.07625805,0.08959002,0.10001334,0.10530902,0.111148424,0.127474,0.15949059,0.199304,0.22946948,0.23360159,0.20906426,0.16889183,0.13552485,0.12769578,0.15144289,0.19609086,0.24164534,0.26777053,0.2652356,0.23597328,0.19199239,0.14784004,0.11934971,0.11861396,0.15064852,0.20786925,0.27224496,0.32370046,0.35111967,0.35612535,0.34853613,0.3380694,0.33003458,0.32542673,0.32325092,0.3214217,0.3169301,0.30577466,0.28419465,0.25001833,0.20536439,0.15668379,0.11416926,0.08673144,0.080326974,0.09553283,0.13041002,0.17883699,0.23233075,0.27886513,0.3091522,0.31944227,0.31533554,0.306958,0.3040552,0.30837044,0.31393838,0.31126186,0.29753497,0.27806708,0.26277605,0.25682566,0.25995705,0.26819077,0.27778676,0.28457567,0.28487548,0.27732477,0.26470733,0.2525609,0.24525543,0.24392124,0.24576364,0.24676108,0.24342118,0.23603131,0.2283114,0.22538275,0.22921528,0.2369246,0.24317028,0.2439682,0.23898655,0.23008679,0.22048055,0.21369338,0.21315129,0.21952002,0.2304973,0.2426532,0.25367934,0.2619752,0.2646208,0.26038095,0.2511305,0.24273185,0.23825558,0.23728229,0.23629934,0.23360121,0.22849615,0.22098987,0.21087621,0.1990292,0.18643181,0.1732765,0.15844299,0.142655,0.13069512,0.13161923,0.15361418,0.19767535,0.25463173,0.30860528,0.34628227,0.36333025,0.3656362,0.3620416,0.3576686,0.35021567,0.33405468,0.30569652,0.26815608,0.2300337,0.20177017,0.18808104,0.1844065,0.1785443,0.16260429,0.13920526,0.11945579,0.11141158,0.11475557,0.1239448,0.13244657,0.13546859,0.12881623,0.11341394,0.09540089,0.08458214,0.08557451,0.09525675,0.10422736,0.10593227,0.10145564,0.10074064,0.11470631,0.14778589,0.19141723,0.2282226,0.24110681,0.22596516,0.19486105,0.17001061,0.16990964,0.19923274,0.2471559,0.29518953,0.32756448,0.33887437,0.3331397,0.31963006,0.3055292,0.29540977,0.28965643,0.2885699,0.29086354,0.29572365,0.2998892,0.2992057,0.2891853,0.2686002,0.24028565,0.20959432,0.1806916,0.15493912,0.13124833,0.10918301,0.08917231,0.07289121,0.061853115,0.058494296,0.067045055,0.091377765,0.13283783,0.18603474,0.24246705,0.29177174,0.3265861,0.34105864,0.3328645,0.3035691,0.26061794,0.21613725,0.18289733,0.16731347,0.16502422,0.16370688,0.15418376,0.1379092,0.12417143,0.12000982,0.12438654,0.13203992,0.13716017,0.13615893,0.1261843,0.1102213,0.09790974,0.103867054,0.1349104,0.18361115,0.22773564,0.24613129,0.2312214,0.19706602,0.16808744,0.16414534,0.18598203,0.21676429,0.23441207,0.22739963,0.20110933,0.17175603,0.15465869,0.15527022,0.16880111,0.18512486,0.19700997,0.20384683,0.21163064,0.22609699,0.24850841,0.27391383,0.2946215,0.30223083,0.2910785,0.26115257,0.22066794,0.18117261,0.15121377,0.13211137,0.122081935,0.11927237,0.121413685,0.12340819,0.11876956,0.10508446,0.08544431,0.0662919,0.05181854,0.042908054,0.037841555,0.034890827,0.03282416,0.031008767,0.02887693,0.026153712,0.022932475,0.020073721,0.018831419,0.02085604,0.02864909,0.04593897,0.07610908,0.115937345,0.15323196,0.17051889,0.15963931,0.12755622,0.09301355,0.071530454,0.06904213,0.081481576,0.09965787,0.112233765,0.11086184,0.096981384,0.08418444,0.091202736,0.12836438,0.18712449,0.24286973,0.26897275,0.25561476,0.21668792,0.18246931,0.18045463,0.21823592,0.27912393,0.33153248,0.35032606,0.33008373,0.2880186,0.24868442,0.23158872,0.24160354,0.27252102,0.3106158,0.34250036,0.35833898,0.35670158,0.34469882,0.33577967,0.34258997,0.36812183,0.4038154,0.4322389,0.43804827,0.41381386,0.36495975,0.30678782,0.25958994,0.24158277,0.26129785,0.3161514,0.39412227,0.48283434,0.571989,0.6523859,0.71255094,0.741658,0.73712873,0.7053152,0.6586325,0.60718864,0.557786,0.51203126,0.46920392,0.42899713,0.39635435,0.38112834,0.38906112,0.41346303,0.43446982,0.43287316,0.40151796,0.34941265,0.29271248,0.24593723,0.21492971,0.19788747,0.18821602,0.18098956,0.17279051,0.16193771,0.14775842,0.13642658,0.14230561,0.177579,0.23956381,0.3037516,0.34200743,0.33705807,0.29576507,0.23774813,0.18917744,0.16796617,0.17888522,0.20646887,0.22575824,0.21758503,0.18394591,0.14392963,0.12041357,0.12489432,0.15479994,0.1959219,0.23187393,0.25104165,0.25387052,0.24971686,0.2503624,0.26137248,0.2800465,0.29581666,0.29625118,0.2739617,0.23464318,0.19224145,0.16020793,0.14220299,0.1384238,0.15317969,0.19620769,0.27317858,0.37827954,0.49693587,0.6122353,0.70843935,0.7720092,0.794713,0.77896476,0.73617786,0.6811052,0.6245359,0.57172275,0.5229241,0.47622558,0.4333146,0.40234932,0.39618215,0.41713277,0.45163956,0.4720792,0.46013752,0.41448966,0.35233364,0.2912285,0.24378705,0.21238959,0.19506043,0.1858042,0.18025786,0.17442511,0.16574693,0.15226068,0.13871086,0.13900118,0.16796477,0.22789116,0.298949,0.3524097,0.36552608,0.33721003,0.28223178,0.22608535,0.1906725,0.18668668,0.20489536,0.2230701,0.2206919,0.19503973,0.16131066,0.1405413,0.14458084,0.1715815,0.20867757,0.24126048,0.25925028,0.2635955,0.26224574,0.2651803,0.2754191,0.28995365,0.30014387,0.29800782,0.2788643,0.24657406,0.21070917,0.18101509,0.16197357,0.15565945,0.16801141,0.20824628,0.2814882,0.3823841,0.49698457,0.6097217,0.7046923,0.7684997,0.79164714,0.7767122,0.73592716,0.6857094,0.6371267,0.5938566,0.5541358,0.5145147,0.47534052,0.44278678,0.42777416,0.4345627,0.45527038,0.47005272,0.46253487,0.42780843,0.37507057,0.31845227,0.27091238,0.23956992,0.22504789,0.22328253,0.22861344,0.23642011,0.24226715,0.24328333,0.24028437,0.24119051,0.25332955,0.27494857,0.28951883,0.2790919,0.23823954,0.18092817,0.12910564,0.09963891,0.0968486,0.11388748,0.13769788,0.15523304,0.15975606,0.15299259,0.14238386,0.13651566,0.14177853,0.16140877,0.19147933,0.2222324,0.24052155,0.24089794,0.22534935,0.20294712,0.18098217,0.16647394,0.16183792,0.16555648,0.16999286,0.16924663,0.16260089,0.15458654,0.14901151,0.14928931,0.16221666,0.19864385,0.26569864,0.3575643,0.45201063,0.5166412,0.5217622,0.4571865,0.34180546,0.2152227,0.11513577,0.057199676,0.035468176,0.035509538,0.046195168,0.060553122,0.07224,0.07605857,0.07041803,0.05919577,0.04776181,0.039793044,0.03548218,0.03451003,0.037527293,0.04652071,0.062122524,0.08248758,0.10272642,0.11736554,0.12268055,0.119637795,0.112810396,0.10734191,0.10488979,0.103523135,0.10087394,0.0964824,0.09159153,0.08583502,0.0775423,0.06557157,0.052955955,0.045722257,0.049283702,0.06378945,0.0829834,0.09762576,0.10097603,0.09338302,0.08175522,0.07499122,0.07854041,0.09134788,0.10779435,0.12004564,0.12250202,0.113128774,0.09620825,0.07999432,0.073052555,0.07793942,0.089436196,0.09797611,0.09615693,0.083893,0.06800241,0.057795465,0.060052585,0.07839144,0.11651016,0.18029897,0.27170467,0.38320127,0.49128047,0.5664652,0.5787336,0.5183609,0.3986636,0.25919405,0.13981962,0.06505161,0.033823136,0.03258131,0.045364857,0.05976704,0.06724915,0.06449922,0.05468392,0.043750882,0.03605069,0.031770125,0.029804938,0.03061241,0.03657193,0.049466014,0.06814691,0.08865539,0.105963804,0.11608938,0.11790121,0.113310285,0.106188126,0.09936582,0.09309072,0.08599798,0.077852465,0.07044881,0.065375604,0.06144617,0.055685803,0.046782453,0.038049802,0.03577119,0.044671122,0.06344392,0.08400201,0.09635333,0.09507257,0.0835875,0.071165755,0.06626183,0.071145594,0.081967294,0.09267768,0.098274715,0.09615996,0.08676707,0.07401114,0.0646936,0.06469112,0.075019956,0.09005054,0.10056794,0.099703215,0.08792561,0.07342252,0.06639096,0.07298923,0.093865246,0.12908219,0.18188947,0.25509,0.34330654,0.42666933,0.47709355,0.47059885,0.40413794,0.29893377,0.18993543,0.105608426,0.055732876,0.035175156,0.03386159,0.043520067,0.05639885,0.06520125,0.066225015,0.06315981,0.06488914,0.07812222,0.100781836,0.12239635,0.13105011,0.1215984,0.09898043,0.07511986,0.060945403,0.06011793,0.067614235,0.07523433,0.07736979,0.07344169,0.06550929,0.055553943,0.04515828,0.036519427,0.032272797,0.033698354,0.038955294,0.044255752,0.046621606,0.047970492,0.055336554,0.077709235,0.11741934,0.16594575,0.20548968,0.2202126,0.20446336,0.16570644,0.11917826,0.08127148,0.06471408,0.07504991,0.10991863,0.1584776,0.20498706,0.2339803,0.23803271,0.22238477,0.20233501,0.19333024,0.19906648,0.21064192,0.21442866,0.20484962,0.18479086,0.16191615,0.14370818,0.14122862,0.1691121,0.23679774,0.3401481,0.4556572,0.5527392,0.59708595,0.5707404,0.47538182,0.34468055,0.22019322,0.13456227,0.0916683,0.07959225,0.081946336,0.08875101,0.093568504,0.09311371,0.08699697,0.07837478,0.070847034,0.06591006,0.062485393,0.05920736,0.056064066,0.05452168,0.056318615,0.062382102,0.07178164,0.08184584,0.088986345,0.09103281,0.08782589,0.0810044,0.07208379,0.062340077,0.052927922,0.0454035,0.04070611,0.03847602,0.037165105,0.035756927,0.035337713,0.040345635,0.057836365,0.09406173,0.14844416,0.20931752,0.2569207,0.27288818,0.25105613,0.2001936,0.14075287,0.09499475,0.080649056,0.101876795,0.14915387,0.1999952,0.23297642,0.23584749,0.21360366,0.18159407,0.15882474,0.15621711,0.17213018,0.19283836,0.20216207,0.19177698,0.16581585,0.13904397,0.13053162,0.15862803,0.2308508,0.3413634,0.46905065,0.5919113,0.69060874,0.75627416,0.7841234,0.77716166,0.7431403,0.69432396,0.64163774,0.5911195,0.54359776,0.49685058,0.45149222,0.41390166,0.396507,0.40631258,0.43758586,0.46825102,0.4765561,0.45080066,0.3978448,0.33202755,0.2703058,0.22276501,0.19309215,0.17720883,0.16900909,0.16316913,0.15658395,0.14723457,0.13725424,0.13557756,0.15399699,0.19285555,0.234514,0.25160763,0.23081581,0.18110766,0.12787046,0.0925655,0.087302886,0.11219162,0.1597212,0.21259232,0.25072956,0.25912443,0.23625827,0.19356585,0.1502241,0.127172,0.13615225,0.17552187,0.22765112,0.27419636,0.30109248,0.30511355,0.28584865,0.250392,0.211505,0.18608546,0.18331432,0.19962877,0.22182767,0.23523317,0.23163928,0.21341081,0.19519056,0.1994574,0.24172248,0.3192006,0.40202475,0.4514372,0.4380583,0.3685422,0.27902886,0.21453474,0.19599086,0.2114253,0.23273289,0.23850282,0.22665934,0.20551477,0.18449533,0.16596663,0.1480984,0.12735838,0.103845924,0.080686845,0.06336456,0.05547708,0.05861063,0.07180936,0.09315666,0.118916415,0.14411628,0.16299894,0.17196871,0.17042078,0.16091432,0.14684348,0.13181347,0.11883732,0.10980285,0.10408207,0.098845094,0.09105732,0.07999927,0.067507565,0.05776155,0.056863148,0.07305794,0.11222434,0.17178978,0.2366982,0.28575733,0.30224454,0.28213295,0.2338924,0.1737355,0.121121824,0.09262263,0.0970695,0.13005072,0.1769013,0.21789117,0.23805362,0.23170762,0.2048075,0.17092176,0.14502434,0.13608041,0.14262743,0.15473326,0.16010714,0.15244742,0.13625424,0.12714556,0.14644863,0.20862012,0.31385657,0.44447377,0.5777319,0.6908892,0.77019995,0.8078359,0.80660295,0.7762962,0.73038244,0.6794196,0.6278774,0.5767135,0.52474463,0.47497368,0.43388805,0.41237816,0.41432142,0.43339923,0.45035645,0.4488285,0.422124,0.38051844,0.33876613,0.3109471,0.29917848,0.29750487,0.29390487,0.28213868,0.26410082,0.24782608,0.23918639,0.2399679,0.2512308,0.27503535,0.30881533,0.3415462,0.3572854,0.34738824,0.31349373,0.26562676,0.21602581,0.1796243,0.168953,0.18620081,0.21640258,0.23691903,0.23300083,0.21011889,0.18673654,0.1804639,0.19576447,0.22387974,0.25149548,0.26777932,0.2711797,0.26382855,0.24960916,0.22816701,0.20173627,0.17534457,0.15636311,0.14703661,0.144377,0.14373219,0.14181797,0.13652499,0.12842701,0.1252033,0.14406438,0.20070176,0.30013648,0.42794815,0.5625661,0.6775696,0.75139385,0.7626646,0.7019601,0.5764136,0.4161857,0.2622268,0.14898603,0.08847645,0.06931082,0.06874076,0.067744516,0.059034154,0.04570735,0.034056854,0.027906472,0.026491499,0.027236851,0.0282673,0.030049687,0.034266952,0.042665195,0.054929744,0.068465,0.07886327,0.083201885,0.08096452,0.07423445,0.064913005,0.05458349,0.0444689,0.036546852,0.032109685,0.030910566,0.03095658,0.031166153,0.033694398,0.045417707,0.075042985,0.12707435,0.19427817,0.2572573,0.29295126,0.28833643,0.2470711,0.18557586,0.12352109,0.075793564,0.050098762,0.045132797,0.053020794,0.062052976,0.06454986,0.05954666,0.052504446,0.048892204,0.05049944,0.054922823,0.058278084,0.05847351,0.056046624,0.05397771,0.054800812,0.061624672,0.07943261,0.11925129,0.19049096,0.29650548,0.42528,0.55933064,0.676528,0.7615405,0.80349827,0.80390877,0.7720144,0.72251004,0.6675376,0.6145932,0.56589895,0.5194674,0.4742389,0.43416846,0.41136852,0.41438422,0.43998757,0.46658257,0.47206154,0.44463822,0.3937155,0.33627883,0.28979373,0.26002172,0.24380606,0.23156412,0.2178735,0.20473288,0.19874752,0.20270143,0.21486713,0.23281074,0.25848922,0.29026327,0.32093263,0.33658877,0.3308741,0.30399182,0.26350924,0.21647333,0.17467034,0.15064305,0.15262057,0.17387624,0.19782151,0.2082367,0.20236795,0.18974197,0.18477023,0.19621922,0.22147433,0.2501577,0.2699591,0.27685833,0.27272192,0.26247814,0.24666913,0.22583742,0.20273261,0.18294238,0.16973579,0.16236973,0.15851253,0.15540184,0.15022571,0.14251064,0.13890667,0.15569754,0.2067492,0.29689312,0.41336772,0.54009914,0.6559093,0.7448705,0.79141283,0.7933114,0.7591657,0.70644206,0.64998895,0.5980019,0.5520429,0.5092177,0.46761236,0.43079725,0.41024974,0.4150015,0.44151166,0.4685636,0.47335294,0.44453076,0.39101812,0.3287409,0.27316207,0.23035131,0.2014842,0.18276334,0.17045833,0.16140383,0.15324776,0.14340927,0.1321246,0.12687984,0.14069402,0.17705399,0.22217365,0.24737231,0.23601496,0.19160885,0.13858606,0.09942994,0.089670025,0.1124325,0.1606959,0.21641104,0.25644743,0.2683747,0.25635272,0.24056469,0.23933043,0.26102415,0.2970768,0.33098435,0.34706792,0.34262705,0.32697347,0.3133637,0.30792716,0.30869028,0.31113645,0.312106,0.3099732,0.3019087,0.28626367,0.262041,0.23048365,0.19606118,0.17009038,0.17153792,0.21439938,0.30148956,0.41643587,0.540559,0.6505108,0.72658104,0.7428166,0.6850168,0.5587095,0.39832684,0.24882211,0.14430438,0.09219927,0.07668496,0.07450364,0.06943761,0.05806111,0.044843387,0.034991413,0.029847687,0.028138286,0.030000681,0.03927085,0.061263394,0.09620724,0.13541067,0.16395707,0.17168672,0.16115445,0.14739676,0.14598309,0.16263856,0.18890114,0.2100661,0.21528633,0.20580281,0.19267176,0.18707101,0.19041072,0.19268422,0.1830384,0.16053466,0.1380212,0.13098206,0.14554043,0.17184736,0.19279842,0.19608009,0.18335797,0.16695558,0.1596361,0.16550414,0.17813857,0.18770044,0.18767421,0.17929809,0.16861916,0.16211598,0.16130738,0.1619348,0.15665488,0.14128527,0.117464565,0.09210654,0.07217176,0.0616744,0.060091555,0.066829205,0.08528352,0.12624405,0.19789238,0.2980369,0.40389147,0.48437214,0.50944084,0.47120118,0.38475373,0.28473148,0.20290573,0.1549251,0.13733558,0.13934481,0.15140055,0.16725044,0.18119079,0.18897827,0.18996328,0.18746418,0.18513225,0.18316732,0.17888208,0.17019022,0.15899833,0.14992274,0.14729874,0.15233383,0.1630544,0.17546056,0.1860916,0.1939639,0.20079179,0.20829046,0.21721514,0.22737186,0.23995318,0.2543442,0.2671483,0.27171364,0.26449308,0.2475987,0.22871584,0.21724236,0.22130184,0.24407987,0.27981022,0.31428754,0.3325176,0.32996592,0.3146889,0.30170587,0.30061784,0.31336585,0.33306816,0.3519695,0.36219028,0.36217573,0.35437426,0.34535882,0.33920613,0.3361629,0.33344388,0.3273418,0.3157828,0.29635516,0.26965508,0.23765366,0.20533973,0.17765982,0.16006215,0.15914027,0.17770731,0.21377178,0.2560672,0.29536438,0.3242687,0.34291056,0.3500153,0.34622383,0.3318909,0.31091377,0.28844568,0.27028117,0.2609378,0.26049832,0.26475036,0.266767,0.26433077,0.25905955,0.25435492,0.24725465,0.23282968,0.20778348,0.17738496,0.15012115,0.13385676,0.13044961,0.13640048,0.14475536,0.14846915,0.14476627,0.13465978,0.12178018,0.10930791,0.101111926,0.1019871,0.11296012,0.12889273,0.1378417,0.13302557,0.11530045,0.09465548,0.07919317,0.0740576,0.078347005,0.08846471,0.097490154,0.10020638,0.09558328,0.087808825,0.081268795,0.078061365,0.07814046,0.08165591,0.087934725,0.093914635,0.09500126,0.08937847,0.08008484,0.07276162,0.07086777,0.07385552,0.078850836,0.083548255,0.08745832,0.09112728,0.0946107,0.09674597,0.096107244,0.09312964,0.091274016,0.09413033,0.10206917,0.10976943,0.11169245,0.10555545,0.09526876,0.08537316,0.07862152,0.07420417,0.071078606,0.069429316,0.07096768,0.076568894,0.08483226,0.092275135,0.09616924,0.09594828,0.092899896,0.0877487,0.080352105,0.0707585,0.06058255,0.052426502,0.04887019,0.051777974,0.062206518,0.07847947,0.09594352,0.10788243,0.11086875,0.10594223,0.09795597,0.09080479,0.08645939,0.085122496,0.08606333,0.08746624,0.08637128,0.08086517,0.07128837,0.06097807,0.054942664,0.059386358,0.07972922,0.11686307,0.16324754,0.20377177,0.2237141,0.217395,0.19179128,0.16172431,0.1423619,0.14227468,0.16011804,0.18653624,0.2099943,0.22358559,0.22561337,0.2173739,0.20183487,0.18519534,0.17608728,0.1783716,0.18737285,0.19188173,0.18479908,0.16688143,0.145687,0.12841205,0.120095015,0.12120829,0.12878393,0.13521464,0.13442732,0.12409952,0.10854811,0.09259034,0.079745665,0.07032884,0.064460985,0.062692165,0.06572279,0.07280042,0.08045143,0.08410722,0.080819584,0.07224767,0.06320222,0.058497857,0.05957273,0.06503904,0.0722225,0.07916785,0.0847198,0.08907288,0.09295356,0.09688566,0.0998145,0.09994605,0.09645149,0.09012801,0.082457125,0.07410102,0.0659413,0.05990075,0.05865607,0.06295026,0.07129564,0.08284217,0.10148551,0.13332689,0.17919181,0.22702663,0.25774014,0.2568676,0.22680604,0.18217234,0.14132729,0.115160674,0.10881863,0.12246394,0.15493274,0.19913755,0.24231629,0.26799062,0.266554,0.24154502,0.2084816,0.18433106,0.17675866,0.18229538,0.19081916,0.19435413,0.1897219,0.17900467,0.16543013,0.15182573,0.14121412,0.13946946,0.15827774,0.2070154,0.28637674,0.37940073,0.46436152,0.52113813,0.54085183,0.51856947,0.45675647,0.36741444,0.27361485,0.19879289,0.15470453,0.13847436,0.1390449,0.14585249,0.15266426,0.15774524,0.1628694,0.17232122,0.19091642,0.22013098,0.25523493,0.28554508,0.30092594,0.29821238,0.2842783,0.271055,0.2687515,0.28057522,0.30190337,0.3230804,0.33398518,0.33135304,0.32111,0.31713295,0.32875785,0.35551783,0.38385758,0.4014486,0.40257558,0.3925819,0.37730274,0.35928404,0.33895305,0.31959113,0.30788627,0.3052394,0.30460975,0.29402557,0.26918605,0.23939748,0.22362246,0.2370727,0.28021285,0.33789682,0.3895001,0.42093137,0.42834118,0.41505814,0.3865534,0.3504394,0.31547013,0.28860936,0.27068403,0.25627473,0.23867036,0.21474712,0.18980892,0.1762261,0.19269137,0.25055894,0.35027322,0.4725597,0.5960426,0.69814664,0.7686623,0.7999905,0.79492503,0.76079035,0.7108368,0.65634084,0.6049674,0.56037575,0.5223569,0.48938504,0.4618199,0.44619587,0.44900832,0.4676504,0.48325157,0.4730396,0.4254878,0.35241565,0.27708212,0.21990933,0.18570435,0.16850872,0.15892562,0.15073179,0.1417074,0.13166852,0.12187902,0.116318084,0.12249166,0.1502291,0.19767602,0.24879317,0.27375785,0.25763732,0.20554037,0.14442192,0.0955855,0.07012768,0.065029025,0.075036146,0.092613555,0.11138159,0.12523372,0.13159913,0.13212739,0.13353269,0.14551307,0.1727012,0.20878421,0.2354965,0.23708402,0.21073334,0.16948275,0.12907164,0.09870958,0.078950405,0.06767548,0.06348638,0.06546575,0.071673214,0.07931661,0.08612851,0.09374691,0.108698614,0.14398141,0.20957367,0.30910796,0.43057275,0.5567252,0.66535515,0.7417136,0.776009,0.77013177,0.73354703,0.68093926,0.6250552,0.5731117,0.5276063,0.48779416,0.4529389,0.4236629,0.40509477,0.4027257,0.4158146,0.4297059,0.42419824,0.38684514,0.32511154,0.2586184,0.2064233,0.1755123,0.1622585,0.15792634,0.15447785,0.14775483,0.13752817,0.12655479,0.12030695,0.12612848,0.1526575,0.1972022,0.24426861,0.26565778,0.2476582,0.1955228,0.13525829,0.087284245,0.062237497,0.057455212,0.06825415,0.087855764,0.1099275,0.12769741,0.13703734,0.13785803,0.13563119,0.13974054,0.15635459,0.18193959,0.20173518,0.20157586,0.17803572,0.14155883,0.10551361,0.077771835,0.05873243,0.04734618,0.043758977,0.048800495,0.060624927,0.07536225,0.08838361,0.09975612,0.11507212,0.14726166,0.20559508,0.2922795,0.39448968,0.4966158,0.5813477,0.63896555,0.6625518,0.65304,0.617805,0.56951064,0.52019864,0.4766867,0.4409678,0.41130558,0.3850199,0.36089745,0.3421309,0.3348694,0.34038365,0.34905645,0.34372225,0.3135347,0.26284277,0.2081623,0.16524869,0.14077534,0.13159527,0.13060474,0.13065948,0.12800238,0.12170994,0.113668464,0.10845796,0.1128164,0.13447618,0.17086947,0.20845692,0.22350036,0.20545702,0.15983492,0.10894036,0.06953385,0.049882263,0.04768048,0.05993871,0.08222183,0.10954698,0.13434799,0.15027751,0.15461187,0.15168834,0.15048565,0.15844834,0.17405419,0.18615837,0.18296607,0.1617323,0.13063386,0.10073779,0.078244425,0.063758664,0.056307722,0.055900127,0.062112857,0.07245994,0.082972415,0.090465486,0.09427624,0.09570905,0.09662067,0.09697715,0.09521625,0.08885503,0.077748686,0.06377556,0.05057991,0.040546328,0.03487536,0.03384571,0.038583413,0.050454557,0.06973765,0.09369096,0.11715478,0.13434787,0.1417018,0.1386902,0.12769417,0.11207366,0.095101565,0.07899403,0.065493025,0.055563346,0.049944833,0.048823994,0.05279849,0.06156339,0.07356185,0.08500368,0.09253248,0.09467817,0.092881896,0.0894995,0.08636721,0.08412651,0.08236892,0.08031551,0.07701716,0.072195135,0.06610804,0.059787273,0.05455708,0.052152302,0.054253746,0.061731547,0.07368513,0.086830966,0.096879624,0.10029024,0.096875526,0.089520276,0.08291008,0.08006176,0.080790125,0.08205247,0.08058382,0.07532222,0.0672181,0.058525365,0.051406924,0.048788324,0.052771147,0.06330802,0.07589274,0.08410362,0.083190106,0.07375919,0.06085502,0.050818667,0.048232198,0.05414771,0.066748284,0.0820831,0.096665554,0.108089246,0.11537451,0.11767682,0.11455389,0.106528156,0.095434,0.08356734,0.0725205,0.06278228,0.054066032,0.046112645,0.039139163,0.033935633,0.03112551,0.03046603,0.03048872,0.029444762,0.026353734,0.021631679,0.01642189,0.011899213,0.008777686,0.0074733538]