[0.0010999772,0.0012947711,0.0017516711,0.0024063282,0.0031731017,0.0039582173,0.0046602315,0.005174052,0.0053938925,0.0052411743,0.0047173,0.003963601,0.0032682598,0.0029659409,0.0036347953,0.0065579973,0.0142241195,0.029282367,0.05260852,0.081857204,0.112799026,0.14196934,0.16827954,0.1922695,0.21430248,0.23335175,0.24719568,0.2534589,0.251086,0.24087477,0.22527945,0.20800827,0.1932268,0.18473066,0.18313728,0.18467514,0.18166679,0.16785045,0.14315997,0.11526234,0.0951686,0.090788014,0.10223337,0.12128931,0.13554335,0.1355874,0.12052437,0.0976563,0.076069586,0.06112425,0.053395823,0.051838864,0.055447947,0.06299872,0.07215476,0.080459066,0.08666573,0.09107014,0.09455359,0.09764274,0.100253575,0.10191894,0.10211823,0.10064668,0.09769108,0.09383459,0.08974553,0.08594101,0.08218962,0.07726866,0.06966226,0.059022754,0.047169268,0.037307106,0.032639146,0.035082012,0.04453944,0.05815899,0.07047892,0.07587396,0.07184174,0.06073301,0.047758326,0.037574854,0.032226495,0.031506002,0.03440042,0.03973013,0.046299357,0.05287354,0.058607023,0.06325024,0.06703939,0.0701699,0.07228535,0.07238129,0.06941894,0.0632458,0.05509222,0.046996962,0.040724937,0.036846746,0.034828726,0.033596408,0.032243084,0.030258551,0.02761134,0.024632161,0.021874765,0.019751303,0.018363504,0.017497666,0.016935,0.016552141,0.016318478,0.016164688,0.015980951,0.01570054,0.015315031,0.014880877,0.014435633,0.014036059,0.013733101,0.013593636,0.013643441,0.01388745,0.014309414,0.014906085,0.015653223,0.01651519,0.01742546,0.018338954,0.019233989,0.020153552,0.021172436,0.022379326,0.023848072,0.025650708,0.027873576,0.030600822,0.03390781,0.03786981,0.042585213,0.04818296,0.05489537,0.06311532,0.07334659,0.08582103,0.10014281,0.11527634,0.13004737,0.14335091,0.15392281,0.16010669,0.1615472,0.16068335,0.16281849,0.17191418,0.18817936,0.20790856,0.22785278,0.24622734,0.2627728,0.27603185,0.28410974,0.2850797,0.27848566,0.26533213,0.24761833,0.22868328,0.21241389,0.20347284,0.20383744,0.21087044,0.21615243,0.21097688,0.19226693,0.1659296,0.1427149,0.13198401,0.1362833,0.15062322,0.16457607,0.16831867,0.15800495,0.13806845,0.1167511,0.10095647,0.093446665,0.095101856,0.10566016,0.12353595,0.14381875,0.16074632,0.17009449,0.17202453,0.16905826,0.16435212,0.15946911,0.15491247,0.15069823,0.14706941,0.14435665,0.14250582,0.14103332,0.13925292,0.13633667,0.1312546,0.12282834,0.11094598,0.09714827,0.08451438,0.07606139,0.07377684,0.07775707,0.086055845,0.094530545,0.09851408,0.095129184,0.08524967,0.07263612,0.061576813,0.055066586,0.05478699,0.061847746,0.07599024,0.09464911,0.112911016,0.12642859,0.1335483,0.13576795,0.13532971,0.13349923,0.13019161,0.12483833,0.117299736,0.10801797,0.09807536,0.088615976,0.080518655,0.07401768,0.068923056,0.064789675,0.06118189,0.05777818,0.05458126,0.051796377,0.049615484,0.047878508,0.046274364,0.04452121,0.042693395,0.04096732,0.039560083,0.038435623,0.037477944,0.036460977,0.035278406,0.033923153,0.032542154,0.031292174,0.030234857,0.029305099,0.028379118,0.027381932,0.02631033,0.025245203,0.024310267,0.023589524,0.023049086,0.022561893,0.022233343,0.023462785,0.030165667,0.048600774,0.08313789,0.1308281,0.17984957,0.2164587,0.23393674,0.23560135,0.22918577,0.22050704,0.21227652,0.2063018,0.20394623,0.20434499,0.2047482,0.20342284,0.20204155,0.20386541,0.21058391,0.22138305,0.23481457,0.25022995,0.2666681,0.28184244,0.29215065,0.29444048,0.2864051,0.26805243,0.2426663,0.21768945,0.20165765,0.19903965,0.20677228,0.21496044,0.21361227,0.19820021,0.17321949,0.14839844,0.13451235,0.1382822,0.16054815,0.19507784,0.2308166,0.25611538,0.26356336,0.25173652,0.2243704,0.18855625,0.15301242,0.12574083,0.11062646,0.10569439,0.10433192,0.101065546,0.096350074,0.0981197,0.11419783,0.14439763,0.17536938,0.19018196,0.17995794,0.15325628,0.12779133,0.1174768,0.12174388,0.13004743,0.13254027,0.12785345,0.12078757,0.11588645,0.113806285,0.113089286,0.112460256,0.111953385,0.11180056,0.11182419,0.1107356,0.10698485,0.10031077,0.09264987,0.08655283,0.08259949,0.07875377,0.07266716,0.064069934,0.05537193,0.05025497,0.05259956,0.065259226,0.08838439,0.117803015,0.14598532,0.16612257,0.17578141,0.17660294,0.1707344,0.15789793,0.1371855,0.110446684,0.084707685,0.06909698,0.069501914,0.08378816,0.10198464,0.1121549,0.10744355,0.09010952,0.06822103,0.049791787,0.038122427,0.032318488,0.029815907,0.028706899,0.027997889,0.027332766,0.026530856,0.025643796,0.024807803,0.024238663,0.024071647,0.02429107,0.024725175,0.025197059,0.025956146,0.027873019,0.032061234,0.038771946,0.046635848,0.053115457,0.056073505,0.054980647,0.05091576,0.04555458,0.04038964,0.03638382,0.033999067,0.033057123,0.032860797,0.032533485,0.031873643,0.03201366,0.035746634,0.0463351,0.065507375,0.09142768,0.118805446,0.14112681,0.15385741,0.15761273,0.15833795,0.16407742,0.17796564,0.19462742,0.20423925,0.20135562,0.1910951,0.1838092,0.18721978,0.19934762,0.21346895,0.22386484,0.23113818,0.2387154,0.24867724,0.2589922,0.26496372,0.2624633,0.25062606,0.23470052,0.22315943,0.2229229,0.23065591,0.2351775,0.22400093,0.19498622,0.15634432,0.12168545,0.102058955,0.10407206,0.1284775,0.16953743,0.21393119,0.24713981,0.25946638,0.25103503,0.2277977,0.19796114,0.16796778,0.1422498,0.12337074,0.11306081,0.11198922,0.11756722,0.12406913,0.12605132,0.12502427,0.12900262,0.14522488,0.17058934,0.19137919,0.19517297,0.18107629,0.16267705,0.15414004,0.161487,0.17679167,0.18890218,0.1895209,0.18020763,0.1669748,0.1568075,0.15175883,0.15073884,0.15098971,0.15088548,0.14950643,0.14681973,0.14480269,0.14785147,0.160192,0.1813461,0.20489345,0.22281213,0.23088336,0.23035802,0.2246743,0.21633232,0.20625484,0.19507124,0.18351488,0.17187114,0.15937029,0.1451919,0.1294209,0.11392807,0.10102409,0.09222696,0.087080956,0.08392072,0.0812234,0.078577064,0.07647882,0.07521417,0.074292414,0.072758995,0.07003814,0.066391855,0.06256615,0.059242178,0.056673918,0.05472224,0.0530716,0.05135025,0.049364716,0.04710035,0.044725534,0.042337302,0.03992116,0.037398595,0.034793433,0.032292727,0.030192077,0.028895197,0.028886067,0.0307581,0.034779444,0.04047711,0.046298403,0.050352857,0.05134165,0.049357098,0.045505386,0.041195214,0.03740738,0.034567002,0.032631956,0.03134526,0.030388333,0.029541003,0.028717197,0.028107205,0.028857931,0.033927307,0.048315894,0.0759315,0.11584345,0.15978077,0.1969588,0.21960257,0.22782414,0.22642867,0.22233081,0.21976453,0.2205656,0.22226097,0.2217847,0.2168387,0.20936699,0.20336108,0.20361166,0.21360926,0.23408169,0.26241124,0.2910813,0.31125635,0.31410137,0.29704598,0.264805,0.23160928,0.21249038,0.21517293,0.23317218,0.2533067,0.26525733,0.26863065,0.26854023,0.26988754,0.2736936,0.27848408,0.2823092,0.28436077,0.28522733,0.28624466,0.28764278,0.28823566,0.28584337,0.27878395,0.26590565,0.2476766,0.22746696,0.2113546,0.20328216,0.20030487,0.19444479,0.18187201,0.16924949,0.16818035,0.18370175,0.20806165,0.22773908,0.23265207,0.22162493,0.19940984,0.17376317,0.15155412,0.13687988,0.12938292,0.12660432,0.1269523,0.13087285,0.13816102,0.14590974,0.15009665,0.15072714,0.15337466,0.16462393,0.18289483,0.19639818,0.19091208,0.16266342,0.12296647,0.090799354,0.08066252,0.093907885,0.11972597,0.14119883,0.14603536,0.13284539,0.112287365,0.0993268,0.105311275,0.132411,0.17337771,0.21486671,0.243116,0.25129667,0.24177374,0.22341603,0.20435666,0.18842377,0.17519535,0.16315503,0.15269472,0.14812672,0.1554318,0.17734991,0.2079653,0.23572123,0.24891846,0.2425834,0.217627,0.18013358,0.13837467,0.10127753,0.07460242,0.059322488,0.052548487,0.050450146,0.050309736,0.05059552,0.050680365,0.050314683,0.049740955,0.049301032,0.04944252,0.050359532,0.05199219,0.05383718,0.05529375,0.055887774,0.05560494,0.054777052,0.054541614,0.05723076,0.06672155,0.08653662,0.11741853,0.15507096,0.19147253,0.21802247,0.22971539,0.2276332,0.21893726,0.21341719,0.21804808,0.23263697,0.25104725,0.26540396,0.2715775,0.2691162,0.26038614,0.24801914,0.23530515,0.22512482,0.21885748,0.21559751,0.21335272,0.21130587,0.21055745,0.21346323,0.2222123,0.23742072,0.257401,0.27789688,0.29379153,0.30073228,0.2966688,0.2814913,0.25697947,0.22644918,0.19464184,0.16620982,0.14414422,0.12875848,0.11858305,0.11164137,0.106651306,0.102860294,0.099900045,0.09736252,0.09495258,0.09242201,0.08965906,0.08748513,0.088207506,0.09563199,0.111527145,0.13278195,0.15057927,0.15638733,0.14739977,0.12911534,0.11119282,0.10294474,0.10952234,0.13011667,0.15769601,0.18147634,0.19255401,0.18809046,0.17237866,0.15338175,0.13873245,0.13199818,0.1315828,0.13240637,0.13022003,0.12515764,0.12123749,0.122142695,0.12734218,0.13273941,0.13416861,0.13051835,0.12333131,0.1150077,0.107011616,0.09925047,0.09069846,0.08094576,0.07164499,0.06587545,0.06480369,0.06664453,0.068130724,0.07004329,0.076283306,0.09049364,0.10977735,0.1269893,0.13529532,0.13339455,0.124382496,0.11332523,0.10471993,0.10226681,0.10751066,0.119059324,0.13216116,0.14164615,0.1441675,0.13936321,0.1282775,0.11275333,0.09537741,0.079437666,0.06756066,0.060488444,0.057184342,0.056021918,0.05564708,0.05561426,0.05702934,0.063589394,0.080423765,0.110386826,0.14956641,0.18777467,0.2144462,0.22574204,0.22501053,0.21850121,0.21001817,0.20228815,0.19785279,0.20016672,0.20813413,0.21590905,0.21420985,0.19872415,0.17373951,0.15174042,0.14437108,0.15420586,0.17253214,0.18742092,0.19428311,0.19911857,0.2111132,0.23097841,0.24827297,0.24999292,0.23303246,0.20735614,0.18696733,0.18023764,0.18620692,0.20029223,0.2172601,0.23319705,0.24441351,0.24968825,0.25106084,0.25195667,0.254089,0.256467,0.2612127,0.27794135,0.3200116,0.39119396,0.47417042,0.5391345,0.5628627,0.5470882,0.5112834,0.47664845,0.45092824,0.43152204,0.41265497,0.3922788,0.37068653,0.34984198,0.33093485,0.315878,0.30674934,0.30495682,0.30847907,0.31042036,0.3039032,0.28577313,0.25956443,0.23046875,0.20330931,0.18101652,0.16610052,0.15967399,0.1600963,0.16405708,0.16899832,0.17495912,0.18188061,0.18699415,0.18511009,0.17319281,0.15353389,0.13226466,0.11501717,0.103658654,0.0981969,0.101289235,0.12314407,0.17818654,0.2727362,0.39031506,0.49207988,0.53900933,0.5190585,0.4557096,0.38766524,0.34277514,0.32435814,0.32050744,0.31675985,0.30697557,0.29150558,0.27459967,0.25871152,0.24490607,0.23323567,0.2239918,0.21671979,0.20952696,0.20042177,0.18879284,0.17642736,0.1682201,0.17378129,0.20763278,0.27997127,0.38357472,0.4863766,0.548506,0.5477197,0.49677086,0.42958936,0.37770447,0.35207748,0.34751403,0.35296488,0.36093485,0.36730865,0.3706697,0.37053156,0.36805388,0.36496532,0.36259437,0.36090937,0.35848317,0.35403323,0.34678456,0.33709946,0.32556525,0.31373844,0.30402842,0.2990537,0.29886225,0.2997732,0.29595986,0.28417474,0.2660105,0.24736823,0.2346238,0.23354308,0.2470392,0.27416027,0.30680445,0.33349144,0.34487796,0.34143686,0.3333768,0.33693704,0.36533317,0.41914985,0.48145375,0.524569,0.52898246,0.4965408,0.44935453,0.4112279,0.3947271,0.39734077,0.4112291,0.42831954,0.4438351,0.45368996,0.45572734,0.44934142,0.43623468,0.41885307,0.3992542,0.37873945,0.35820353,0.33979046,0.32728252,0.32468054,0.33434626,0.35594043,0.38856137,0.42837867,0.46730778,0.49111256,0.4895527,0.46293887,0.42569664,0.39361587,0.37583438,0.3701026,0.3702923,0.37100396,0.3701744,0.3678764,0.36515012,0.36363146,0.36413813,0.36552596,0.36407855,0.3549808,0.3352346,0.30579737,0.2710125,0.23634733,0.20597465,0.18268287,0.16800499,0.1620913,0.16269068,0.16551965,0.1669134,0.16618995,0.1650439,0.1642853,0.16225314,0.15668909,0.14726543,0.13544717,0.1227833,0.10987055,0.09737804,0.089200854,0.0956769,0.13434428,0.21698119,0.33444858,0.4495934,0.52035815,0.52815765,0.4904746,0.44183183,0.40743843,0.39228022,0.3873292,0.38182315,0.36960164,0.3502481,0.32732654,0.305115,0.28742722,0.27772486,0.2806827,0.30019617,0.33504114,0.3749143,0.4041275,0.40932894,0.38987458,0.35939053,0.34306034,0.36232576,0.4208858,0.49569166,0.55056596,0.560143,0.5261995,0.47243536,0.42291772,0.38881966,0.36643836,0.34894118,0.33269855,0.31977972,0.31352538,0.31623113,0.32794854,0.34622273,0.3653276,0.37781093,0.37787998,0.36572254,0.34644762,0.32739034,0.3136052,0.30755487,0.30873153,0.31432092,0.31942737,0.319496,0.3136228,0.30576774,0.302443,0.30712438,0.3178735,0.32797873,0.33219928,0.32896355,0.32126704,0.31171867,0.30138025,0.28923067,0.2772555,0.27438965,0.296784,0.35588422,0.4439709,0.52903444,0.5748834,0.5652167,0.5165859,0.46011242,0.42015287,0.39916238,0.38618764,0.3685014,0.34300855,0.31571352,0.2959913,0.28889453,0.2923993,0.30140555,0.3120282,0.32336918,0.33341765,0.3385886,0.33462977,0.32112727,0.3025607,0.29033616,0.30161127,0.35018787,0.43259707,0.5203015,0.575336,0.5750036,0.5280011,0.46360326,0.4093665,0.37549624,0.35661504,0.343089,0.32937524,0.31469062,0.29944113,0.28381374,0.26961896,0.26155153,0.26341844,0.27350703,0.28263444,0.28115997,0.26488927,0.23866445,0.21058209,0.18769611,0.17249137,0.16431116,0.16032682,0.15767999,0.15528871,0.15533487,0.16044812,0.17021446,0.17860503,0.17886513,0.16812374,0.15011878,0.13101354,0.115474574,0.10485009,0.09986812,0.10516828,0.13269176,0.19630493,0.29831752,0.4163644,0.51013803,0.54577816,0.5196506,0.45811024,0.3959314,0.35580483,0.34157297,0.34589577,0.3572067,0.36654195,0.3690776,0.36574304,0.3599232,0.35543856,0.35359836,0.352875,0.34799954,0.33370045,0.309297,0.28363886,0.26954865,0.27706763,0.30678198,0.35480347,0.41369522,0.47172427,0.5109759,0.5164057,0.48799458,0.4409131,0.39413533,0.35730934,0.33052245,0.31011167,0.29392233,0.28125548,0.27142882,0.26349467,0.25776848,0.2568715,0.26527932,0.28442052,0.31002665,0.33167756,0.34023336,0.33165014,0.30901718,0.278313,0.24724172,0.22497903,0.21986975,0.23505564,0.26301667,0.2903628,0.30408645,0.29971746,0.2792258,0.24971808,0.21929139,0.19696529,0.18678685,0.18602757,0.18464349,0.17535722,0.16095296,0.15808916,0.18989427,0.2709057,0.39229122,0.5165405,0.59657454,0.6046868,0.5519793,0.47683337,0.41524458,0.37981462,0.36073342,0.3428125,0.31864622,0.29074144,0.26523486,0.24549116,0.23200816,0.225177,0.22766583,0.24137242,0.26380098,0.28624985,0.29795623,0.29181203,0.2688591,0.23702437,0.20650001,0.18583159,0.18170805,0.19826311,0.23497875,0.28267518,0.32755032,0.35649106,0.3651248,0.35621658,0.33728585,0.31370327,0.28783455,0.25969055,0.23196918,0.21016496,0.20102464,0.20644563,0.22319567,0.24285884,0.2587014,0.2672492,0.27051198,0.27113613,0.27116415,0.27064872,0.2694224,0.26682755,0.2608478,0.24793543,0.2257678,0.19699003,0.17080116,0.15733284,0.16147019,0.17801614,0.19747977,0.2115063,0.21972662,0.22675501,0.23829997,0.25318143,0.26304305,0.2570154,0.23118079,0.19189854,0.15157746,0.12043775,0.10214889,0.09555682,0.0986484,0.11029176,0.12830472,0.1478529,0.1624917,0.1680535,0.16429012,0.15371978,0.13851464,0.120068856,0.09990621,0.08110106,0.06743941,0.06257793,0.06813534,0.08289509,0.10179179,0.11853233,0.1287268,0.13299437,0.13513853,0.13892768,0.14489038,0.15103285,0.15460898,0.15445025,0.15101376,0.14610964,0.14130217,0.13725622,0.13337296,0.12892704,0.12404113,0.11982268,0.11748439,0.11757556,0.119935244,0.124097444,0.1292905,0.1344952,0.1384192,0.14020102,0.1397242,0.13754795,0.13426866,0.13017893,0.12579681,0.121841244,0.11888495,0.11654553,0.11399738,0.110934325,0.107878275,0.10585917,0.105369546,0.10630431,0.107652046,0.10829607,0.10743641,0.10546293,0.1034838,0.102703534,0.1032423,0.10446306,0.1055546,0.106773876,0.10932354,0.11538249,0.1274165,0.14738387,0.17448841,0.20481096,0.2332753,0.25836995,0.28218463,0.30762458,0.33388615,0.35810626,0.3782896,0.39444757,0.4062897,0.41068602,0.40402353,0.3844949,0.35576466,0.3250744,0.3009603,0.2885352,0.29073706,0.3113247,0.3554066,0.42057964,0.48944637,0.53604156,0.5435139,0.517286,0.47583833,0.43780884,0.4089835,0.39006737,0.37697622,0.36891815,0.36329344,0.3609382,0.3621917,0.36899295,0.38053656,0.39458713,0.4068189,0.41390967,0.41376758,0.40739918,0.39715073,0.38663736,0.37809905,0.3729526,0.3715856,0.37408927,0.37966323,0.3856337,0.38908517,0.38807178,0.3840926,0.37982142,0.37804177,0.37863794,0.38126972,0.385155,0.3916202,0.39990377,0.40878412,0.4168379,0.42926535,0.45663765,0.5068901,0.5716912,0.6249246,0.6394088,0.6093891,0.5535554,0.4988244,0.4591838,0.43592706,0.42407092,0.42085382,0.42140985,0.4206283,0.4146035,0.4050156,0.39591327,0.39059174,0.38964435,0.3916433,0.39506185,0.39826164,0.4008247,0.40254238,0.4057394,0.4157324,0.44205204,0.49063468,0.5559359,0.6168411,0.6491289,0.6417665,0.60421556,0.55781823,0.5191323,0.49375072,0.47722682,0.46461222,0.45286858,0.44265974,0.43540165,0.43236873,0.4331816,0.43552765,0.43639684,0.43367526,0.42737255,0.41886333,0.40993416,0.40183887,0.3954109,0.39130816,0.3910475,0.3961638,0.40711495,0.4210148,0.43300667,0.43854615,0.4369395,0.43097425,0.42500165,0.42144445,0.4200058,0.4183955,0.4146498,0.40868235,0.40187296,0.39630798,0.3949922,0.40460232,0.43432608,0.48661146,0.54786956,0.59139234,0.5977514,0.5702869,0.53142273,0.50199836,0.4874173,0.4811583,0.47562554,0.46872863,0.46138886,0.45513424,0.450498,0.44795063,0.44668266,0.4451913,0.44182566,0.43703854,0.43257937,0.4298233,0.42818058,0.42639747,0.4260886,0.43376496,0.45830178,0.50211716,0.55392915,0.59240526,0.6001335,0.5769841,0.5360532,0.49366817,0.45710853,0.42919075,0.4084396,0.39459586,0.38456905,0.37663403,0.369866,0.36608478,0.36690506,0.3729973,0.3823661,0.39196754,0.3976741,0.3979896,0.3932747,0.38697955,0.3817805,0.3792241,0.3789587,0.38032985,0.3830886,0.38585487,0.386407,0.3821911,0.37407592,0.3652359,0.35892847,0.3541207,0.34760824,0.33697125,0.3241593,0.31243208,0.30374432,0.2963982,0.2870957,0.27267635,0.25150532,0.22418849,0.19331352,0.16279759,0.1360205,0.11473615,0.099119656,0.08809341,0.08039955,0.07451696,0.06962723,0.065437235,0.0629557,0.06410089,0.070656314,0.08228481,0.09569264,0.10763387,0.118013024,0.13043265,0.14669019,0.16354328,0.17394245,0.17488922,0.17340733,0.18794447,0.23905833,0.3335838,0.45226526,0.55725366,0.61530346,0.61880064,0.5837197,0.5344046,0.4881133,0.45374966,0.43380406,0.42760396,0.4306475,0.43604302,0.43707538,0.43101987,0.42071763,0.4128034,0.41229925,0.41880217,0.42590156,0.42709467,0.42078355,0.41193238,0.40691972,0.4083695,0.41427913,0.4206867,0.4250257,0.42555073,0.4214932,0.4126209,0.4009925,0.39005992,0.38387644,0.3850856,0.39401248,0.40802392,0.42196962,0.4306494,0.430891,0.42551157,0.42352036,0.43934333,0.48017144,0.5373519,0.5843914,0.59881383,0.5786557,0.5445501,0.5175734,0.5043735,0.4978931,0.4900641,0.4783633,0.4637939,0.44808638,0.43308684,0.42205966,0.4179139,0.42160377,0.43069676,0.4412068,0.449464,0.4540714,0.45564237,0.45589283,0.45711115,0.46281317,0.47902405,0.51006824,0.55292195,0.59230816,0.61017054,0.5971368,0.56146556,0.5194134,0.48512462,0.46210292,0.44889453,0.4416058,0.43773487,0.4333361,0.4257668,0.41465178,0.40372083,0.39786813,0.39918673,0.40505758,0.4095933,0.4086857,0.40218964,0.39341068,0.38488972,0.37811136,0.37402356,0.3753574,0.3839215,0.398587,0.41501346,0.42849043,0.437379,0.44187593,0.4432875,0.44185767,0.4380267,0.43219587,0.42469135,0.41586733,0.40643,0.39802206,0.3944026,0.40200448,0.42930272,0.47764984,0.5352788,0.5787475,0.58978844,0.5689094,0.5322925,0.49854925,0.47433802,0.45936432,0.4492879,0.44354272,0.44032168,0.4387146,0.43642733,0.43222448,0.42486706,0.41426978,0.4020394,0.39139104,0.38514075,0.38404432,0.38570762,0.38790777,0.391279,0.4035467,0.4351274,0.49008355,0.5560577,0.6080664,0.6256822,0.60785097,0.5706134,0.53179485,0.49924812,0.47317445,0.45132136,0.4336336,0.41946378,0.40857348,0.39988542,0.3936033,0.39074197,0.3935853,0.40329385,0.4172918,0.4294872,0.43399405,0.43014702,0.42262486,0.4175458,0.41726145,0.4192109,0.41930106,0.41594508,0.41165733,0.41030315,0.41392437,0.42137265,0.4293076,0.43492326,0.43639314,0.4335089,0.42574728,0.41365337,0.39917636,0.386992,0.38260934,0.3911176,0.41674915,0.46051097,0.51662785,0.568636,0.5978067,0.5935759,0.56331915,0.5235526,0.49011412,0.46810576,0.45545956,0.44686267,0.43885955,0.43057027,0.42240167,0.4150592,0.40853885,0.40389785,0.40250185,0.4051733,0.41028854,0.4153153,0.41869208,0.42148328,0.42586854,0.43520227,0.45370317,0.48594305,0.5309651,0.57692844,0.60528034,0.6018258,0.5702156,0.52509063,0.48394617,0.45199022,0.4297264,0.41325286,0.40277287,0.39629677,0.39302155,0.39143753,0.39254892,0.39683747,0.40376678,0.41051733,0.414135,0.4123193,0.4055694,0.39701974,0.39166248,0.39262983,0.3985447,0.4043394,0.4053837,0.40138268,0.39554062,0.39108253,0.3884594,0.3862257,0.38322362,0.37951684,0.37545756,0.37123442,0.36736402,0.3655907,0.3677121,0.3740921,0.3849446,0.40324327,0.43688083,0.4893616,0.55261827,0.6039334,0.6231864,0.604906,0.5622468,0.5138969,0.47425878,0.45005333,0.4414449,0.44356036,0.44797382,0.44787136,0.44112173,0.43043527,0.41897014,0.40923426,0.4027396,0.40183625,0.40723395,0.41739395,0.42791006,0.43468773,0.43621996,0.4367113,0.44652763,0.4757053,0.52453333,0.57639724,0.6085288,0.6054694,0.5707852,0.519592,0.46975407,0.4328142,0.41300857,0.40785554,0.41134337,0.41827795,0.42547834,0.43084705,0.43209192,0.42941737,0.42641604,0.42757785,0.43255517,0.43631735,0.43307242,0.4221572,0.40736103,0.39416972,0.38591817,0.38378468,0.38723335,0.39489266,0.4046848,0.4140331,0.4204549,0.42198896,0.41856062,0.41222706,0.40671602,0.40518427,0.40880516,0.41631356,0.42442012,0.42939815,0.43077004,0.43503,0.45381427,0.4926169,0.5408163,0.5754048,0.57944924,0.5571415,0.5268468,0.5047629,0.49194846,0.48294365,0.47270164,0.46236122,0.4526019,0.44420207,0.43689287,0.43243217,0.43137398,0.43334356,0.43551186,0.43553683,0.43191102,0.42659152,0.423189,0.42571175,0.4359829,0.4559343,0.4874951,0.5293515,0.5705616,0.5945423,0.5898133,0.5611251,0.52265227,0.48775056,0.45933,0.4363474,0.41714403,0.40234396,0.3911834,0.38268957,0.3773048,0.37683117,0.3827448,0.39367768,0.40679106,0.41824302,0.42499277,0.42570838,0.4214336,0.41521916,0.40917274,0.40396902,0.39906308,0.39514473,0.3939599,0.39715806,0.40492705,0.4164435,0.42992315,0.44258404,0.45016488,0.4494941,0.44087127,0.42862025,0.4178872,0.41176388,0.41076657,0.41533434,0.42718425,0.44966874,0.4836717,0.5244816,0.55987865,0.57703435,0.5696537,0.5430886,0.5083769,0.47680804,0.45472166,0.44461012,0.444252,0.4478797,0.44915292,0.44483662,0.43632933,0.42657164,0.41774678,0.4105992,0.40509793,0.40094176,0.39738965,0.39388105,0.3903862,0.38781643,0.389845,0.40414014,0.43881872,0.49344274,0.55244404,0.592422,0.59758717,0.57102567,0.52875894,0.4871788,0.45390427,0.42962885,0.41261613,0.4018313,0.39666247,0.3956406,0.3963449,0.3965106,0.39672086,0.40035537,0.410602,0.42623198,0.44131353,0.44989386,0.450277,0.44595137,0.4414012,0.43903008,0.4379028,0.43568072,0.4308783,0.42408863,0.4182006,0.41587314,0.41806856,0.42250025,0.42608383,0.42607984,0.42143735,0.41178134,0.39814708,0.38393104,0.3747823,0.37717995,0.39647016,0.43643105,0.49514937,0.5607276,0.6112768,0.6268861,0.60404223,0.55801517,0.5113722,0.47768345,0.4584801,0.44743797,0.43946823,0.43208432,0.42566383,0.42058715,0.41732797,0.41613245,0.41775382,0.42204872,0.42711845,0.42931893,0.42598125,0.41715893,0.4052249,0.39420143,0.3901154,0.40290883,0.43989936,0.4973173,0.55445176,0.58539486,0.57694954,0.53721035,0.4883469,0.44800922,0.42360476,0.4110588,0.4054716,0.40190032,0.39966336,0.39904022,0.40197995,0.40912142,0.41968742,0.43089092,0.43877912,0.43970004,0.43257865,0.42066935,0.41001534,0.40530673,0.40645352,0.40931872,0.40953,0.4053209,0.39778385,0.3893031,0.3823937,0.37895036,0.3794726,0.38384366,0.3922167,0.40659383,0.42726246,0.45090804,0.469179,0.47594878,0.47081664,0.46278703,0.4647641,0.48933902,0.5371024,0.5926661,0.6286001,0.6259691,0.5875192,0.53407377,0.48500624,0.4448297,0.40663993,0.36269912,0.31274804,0.261992,0.21758546,0.18461107,0.16543627,0.15893191,0.15997171,0.16109167,0.15619053,0.14512497,0.13368288,0.13001974,0.13829507,0.15580054,0.17379545,0.1845871,0.1867495,0.18645084,0.1900443,0.19800766,0.20421498,0.2024299,0.19245923,0.17942321,0.16976976,0.16563554,0.16566138,0.16626954,0.16570769,0.16348216,0.16045702,0.15670915,0.15235569,0.14727058,0.14180641,0.13557936,0.12738179,0.11569881,0.10067918,0.08534229,0.07473222,0.0735266,0.08257141,0.097510345,0.10982251,0.11234891,0.10362774,0.088724405,0.07406843,0.06331244,0.056672674,0.05379283,0.055021282,0.06050608,0.06900429,0.07838881,0.08687413,0.09362977,0.098319314,0.10093727,0.10173879,0.101659864,0.10164405,0.10228237,0.10301935,0.10296625,0.10127651,0.097883485,0.09298545,0.086651504,0.07877754,0.06943683,0.05971846,0.051514838,0.047175273,0.048317865,0.054784577,0.0639408,0.07105229,0.07195889,0.06549653,0.054583028,0.043703724,0.036369845,0.033741873,0.035427403,0.040320396,0.046808973,0.052989867,0.057142198,0.05856118,0.057810858,0.05622107,0.055019695,0.05446902,0.0542445,0.053994525,0.0541023,0.055023443,0.05674903,0.058295455,0.05853666,0.05683573,0.053534586,0.0492223,0.044245046,0.038540825,0.032428674,0.026923887,0.023284322,0.022020109,0.022438573,0.023230454,0.023354555,0.022680996,0.021778295,0.02137412,0.021781683,0.022773854,0.02383768,0.024496866,0.024581762,0.024181025,0.02362124,0.023222432,0.02337257,0.024629543,0.028231153,0.036156517,0.050708856,0.07328895,0.103233,0.13721247,0.16992493,0.19584005,0.21163058,0.21755417,0.2171424,0.21453588,0.2119823,0.20846386,0.20182472,0.19143648,0.18061785,0.1741841,0.17530079,0.18186027,0.18862136,0.1896811,0.1830386,0.17123918,0.16125657,0.1623003,0.1841092,0.2365778,0.32182857,0.42768535,0.5239045,0.58109665,0.5875166,0.5569816,0.51186496,0.46901432,0.43316305,0.4035873,0.37799075,0.35548913,0.33515024,0.316594,0.29938975,0.28491107,0.2759372,0.27419367,0.27735117,0.27873787,0.27239665,0.2563786,0.23372884,0.20855816,0.18405081,0.161915,0.1436206,0.13034108,0.12207535,0.1176986,0.11644665,0.1190272,0.12594552,0.13472708,0.13992105,0.13692777,0.12574251,0.110509045,0.096154936,0.085468166,0.08058647,0.08748156,0.120208174,0.1946999,0.3128048,0.44864306,0.5593798,0.61316603,0.61092454,0.57662064,0.53525686,0.49789774,0.46694764,0.44249114,0.42427078,0.41041687,0.3978367,0.38465965,0.36949834,0.3522003,0.33329117,0.314648,0.29826066,0.28553128,0.2765691,0.26965818,0.26287353,0.2582041,0.2664071,0.3031141,0.37606785,0.47178173,0.5590336,0.60801613,0.6100325,0.57898897,0.5375393,0.5018,0.47665033,0.4593022,0.44521746,0.43157414,0.41798136,0.40519357,0.39372912,0.38373172,0.37555096,0.36928096,0.3642589,0.35819733,0.34942523,0.33684787,0.321516,0.3042697,0.2865338,0.26899993,0.2520412,0.2351824,0.2175045,0.19942528,0.18266185,0.16975129,0.1611711,0.15525365,0.14897563,0.14069402,0.13046674,0.11981476,0.10983736,0.10098192,0.096242666,0.10506626,0.14564474,0.22916503,0.34756744,0.46419168,0.54239386,0.5639978,0.5445403,0.5087407,0.4783528,0.46035966,0.45504513,0.45710245,0.45918763,0.45479283,0.44163588,0.42335227,0.4052274,0.39125952,0.38101506,0.3720765,0.3618391,0.3502796,0.33860502,0.32808158,0.32041642,0.32096684,0.341404,0.3904043,0.46323743,0.5355758,0.58013654,0.5850203,0.55987513,0.5248258,0.492358,0.46720016,0.445918,0.4275309,0.40899375,0.38990542,0.36939487,0.35016045,0.33558914,0.32896283,0.3298483,0.33470264,0.33731148,0.33357903,0.32182434,0.3044742,0.28381577,0.2627033,0.24299483,0.22694188,0.21482645,0.20476066,0.19429569,0.18315095,0.17360014,0.16800094,0.1671009,0.17115967,0.18024252,0.19383593,0.20765316,0.21566015,0.21324718,0.20391683,0.20066468,0.2235384,0.28784728,0.39119968,0.5061911,0.593911,0.62706286,0.6088454,0.56462383,0.52259207,0.49574283,0.4835445,0.4786494,0.47422537,0.4654714,0.45055893,0.43095258,0.40932915,0.38832763,0.3684387,0.34957334,0.3311292,0.31414235,0.3000144,0.2896739,0.28084973,0.26982474,0.25417402,0.2365701,0.22256905,0.21644633,0.21635067,0.21558791,0.20781744,0.19333751,0.18040276,0.17888172,0.19247301,0.21506701,0.23641992,0.24864559,0.24962263,0.24100685,0.2261558,0.2098266,0.19767576,0.19466956,0.20119025,0.21166928,0.21734118,0.21264158,0.19900209,0.1824507,0.1687048,0.16068119,0.15968943,0.16595723,0.1776694,0.1907854,0.20103376,0.20636004,0.20724756,0.20623332,0.20652921,0.21036923,0.21699315,0.22243948,0.22314167,0.21859594,0.21245568,0.20796192,0.20642336,0.20672618,0.2089144,0.21347499,0.21975873,0.22416939,0.22318016,0.21678174,0.2093273,0.20576608,0.20781927,0.21305273,0.21742405,0.2181158,0.2144978,0.20734882,0.19759989,0.18664956,0.17610867,0.16725475,0.1586492,0.14782692,0.1348721,0.12675771,0.1351685,0.17101847,0.23932004,0.33426237,0.43891135,0.52681464,0.577379,0.58534354,0.5644896,0.5328603,0.5030471,0.47900996,0.46117947,0.4503008,0.44627047,0.44879302,0.45533428,0.46365273,0.47065043,0.4752567,0.47663844,0.47543672,0.47174427,0.46678412,0.4614104,0.45722973,0.4550831,0.4560779,0.45988345,0.46537077,0.46989658,0.47140595,0.46852198,0.4618367,0.45289207,0.44469526,0.44001997,0.4407477,0.44571134,0.4518719,0.45565447,0.45591652,0.4535017,0.452281,0.4582015,0.48022318,0.521427,0.5727034,0.6087782,0.6065604,0.5615883,0.49617967,0.44042787,0.41295072,0.41167533,0.423394,0.4352351,0.44027117,0.43732858,0.42789635,0.41574764,0.40379927,0.39579335,0.39313206,0.39773962,0.4076077,0.42087567,0.43358624,0.4451724,0.45704854,0.47489896,0.50525707,0.5484884,0.59401774,0.62084,0.61382836,0.5733766,0.51767,0.46736932,0.43507156,0.42152545,0.42111456,0.4270091,0.43368173,0.43787456,0.438234,0.43563366,0.43212256,0.4305242,0.4318676,0.43504345,0.43709782,0.4363886,0.43335167,0.4297605,0.42653695,0.42381096,0.42184162,0.42169097,0.4238788,0.42742518,0.4305184,0.43223426,0.43306628,0.43364415,0.43347326,0.43192163,0.429471,0.428189,0.42961192,0.43306446,0.4362941,0.4391878,0.44753194,0.47252977,0.5195939,0.5792338,0.6242084,0.63137096,0.5964195,0.5415575,0.49244,0.46514192,0.4565227,0.4573685,0.4598179,0.46646023,0.48736635,0.52944916,0.58430165,0.6253744,0.62839675,0.58905095,0.52930015,0.47604844,0.44524264,0.43488622,0.43640944,0.44368067,0.45791116,0.48482442,0.52415746,0.56536955,0.58861727,0.583782,0.5561292,0.52460593,0.5025861,0.49346948,0.49269637,0.4966325,0.5030448,0.50947946,0.513094,0.5124777,0.5087662,0.5042487,0.5006883,0.49838233,0.496181,0.49237597,0.48564819,0.47625554,0.46629164,0.45892063,0.4568118,0.46061632,0.4688635,0.4784176,0.48592094,0.48885384,0.4867576,0.4810258,0.474172,0.46808562,0.46363452,0.46038818,0.45774642,0.45500293,0.45165178,0.4471016,0.44342113,0.44757757,0.47161853,0.5216225,0.5877591,0.64203924,0.65733474,0.6270054,0.5704638,0.51704735,0.48474324,0.4737068,0.4723122,0.47035667,0.4631203,0.45091233,0.4348004,0.41603824,0.39697325,0.38125512,0.37194455,0.36923063,0.3706518,0.373289,0.37563097,0.3777202,0.38220513,0.3953425,0.42678452,0.4805044,0.54776496,0.6057692,0.6328516,0.62143105,0.5830789,0.53820795,0.5036023,0.48506215,0.47807947,0.4747102,0.46918133,0.46037412,0.4490948,0.436553,0.42410588,0.41507563,0.41226593,0.41591176,0.42110434,0.42214933,0.41543722,0.40291128,0.38899243,0.37835586,0.37284842,0.37222967,0.37517497,0.38108858,0.39000645,0.4018339,0.41469464,0.42529976,0.43066764,0.4304997,0.42708835,0.42277268,0.4182428,0.4126358,0.40615878,0.40177187,0.40639725,0.42911103,0.4732335,0.528838,0.5719213,0.5815021,0.5532963,0.5044477,0.4555255,0.42084697,0.4016683,0.3959957,0.39995086,0.41460434,0.4430689,0.48641494,0.5340743,0.56622094,0.56694704,0.53904086,0.49944913,0.46645585,0.4451448,0.4321542,0.4217043,0.4152782,0.4200907,0.44551876,0.4930787,0.5515854,0.60007745,0.620805,0.60887045,0.57232314,0.5245816,0.4782556,0.4429499,0.42328227,0.41755196,0.4197141,0.42388502,0.42796537,0.4323157,0.43818268,0.4458382,0.4545287,0.46183383,0.46476054,0.46181336,0.45446125,0.4460931,0.4397167,0.43644443,0.43601903,0.43712357,0.43790781,0.4356812,0.42867935,0.41723678,0.40443572,0.39424887,0.38927722,0.3902347,0.39554718,0.40312734,0.4095584,0.41282317,0.41156217,0.40954605,0.41413987,0.4365407,0.47901762,0.5291986,0.5603505,0.5531438,0.510982,0.4594567,0.42489684,0.41667107,0.42623636,0.43886283,0.44439793,0.44094324,0.43209052,0.4238638,0.41948876,0.41855237,0.41699564,0.41239524,0.4052801,0.3993819,0.39657423,0.3962033,0.39573956,0.3971735,0.40871748,0.44183055,0.4987084,0.56450856,0.611839,0.6200646,0.58983874,0.5403719,0.49305728,0.4583952,0.43673065,0.42459393,0.4199399,0.42047867,0.42284825,0.42276788,0.4187865,0.41312656,0.41070053,0.41413012,0.42258653,0.43180132,0.4383472,0.44011346,0.43682098,0.42910174,0.4190193,0.41021073,0.4055005,0.40570223,0.40914285,0.41421962,0.42016813,0.42645535,0.43160045,0.43402243,0.43332586,0.43105897,0.42843828,0.42619312,0.42388943,0.42210206,0.4231473,0.43254152,0.4571037,0.4975895,0.54239386,0.5713126,0.5695942,0.5408213,0.50059146,0.46670318,0.44558397,0.43865278,0.4412419,0.4519594,0.4695579,0.49806166,0.53685594,0.5773917,0.6009659,0.5938626,0.556908,0.50638145,0.4596723,0.42620674,0.4054414,0.3937327,0.38950524,0.39647332,0.4214839,0.4667968,0.522291,0.56644267,0.57921845,0.5566392,0.512333,0.46727157,0.4352841,0.4193047,0.41448963,0.41517222,0.41769996,0.4205409,0.4232979,0.42617264,0.42994133,0.43538854,0.44156185,0.44563773,0.44406223,0.43632495,0.42562738,0.41767135,0.41672346,0.42377278,0.4363056,0.45002636,0.4609611,0.46681032,0.467335,0.46357045,0.4573171,0.45066562,0.44567034,0.4435153,0.4441972,0.44636336,0.4483336,0.44864193,0.44787052,0.44927886,0.45986852,0.4861854,0.52849346,0.5738883,0.6021815,0.5981641,0.56503576,0.5200893,0.48257855,0.46183488,0.45711505,0.46245563,0.47071326,0.47686234,0.47915646,0.47921956,0.47920945,0.4796027,0.479732,0.4786694,0.47629324,0.4724028,0.46710125,0.46092054,0.4556091,0.45486262,0.4647734,0.49065605,0.5301776,0.56823176,0.5836714,0.5630376,0.51146954,0.4462981,0.38568914,0.33841357,0.30654234,0.28777003,0.27871978,0.27419975,0.26937994,0.26225722,0.2549347,0.25245845,0.25821137,0.2712843,0.28553092,0.29346326,0.2894369,0.27227473,0.24500829,0.21413189,0.1874579,0.17082985,0.16561432,0.16866596,0.17597301,0.18509509,0.19556199,0.2064795,0.21635121,0.22415383,0.23014124,0.23431326,0.23500712,0.2308557,0.22308636,0.21570207,0.21122932,0.20904179,0.20647274,0.2028067,0.19918965,0.19730991,0.19672072,0.19613339,0.19427375,0.19295315,0.19647823,0.21037282,0.23623325,0.26930264,0.3001316,0.32063043,0.329416,0.33088574,0.32991132,0.3260744,0.3140465,0.28858158,0.25048625,0.20750965,0.17055126,0.1470686,0.13776238,0.13729398,0.1395797,0.14176184,0.14529593,0.15264387,0.16460456,0.17949288,0.19508024,0.2100261,0.22362615,0.23485349,0.24094813,0.23953937,0.22990797,0.21654586,0.20580597,0.20389622,0.2108279,0.22270127,0.23302539,0.23791689,0.2354879,0.22584468,0.2098137,0.1897014,0.16960604,0.15462898,0.15027477,0.16034026,0.18505032,0.21827017,0.24997067,0.27102545,0.27855262,0.2747704,0.2632611,0.24601589,0.22454529,0.20153715,0.18077974,0.1654653,0.15725024,0.15578122,0.15869729,0.16109103,0.15767951,0.1457739,0.12831773,0.1119844,0.102745175,0.10129708,0.10401416,0.10740092,0.11272862,0.12392231,0.14252454,0.16313915,0.17733265,0.17904748,0.16923946,0.15314715,0.13758543,0.1280658,0.12846719,0.13947898,0.15837085,0.18050486,0.20195533,0.22047432,0.2349651,0.24467117,0.24932855,0.24872524,0.24309546,0.2336968,0.22373754,0.21694541,0.2152378,0.21729505,0.21969861,0.21958743,0.21636266,0.21207507,0.20947415,0.21059346,0.21532847,0.22226256,0.22908129,0.23378009,0.23459731,0.2300548,0.21868432,0.19953166,0.1736465,0.1446744,0.11931488,0.10538173,0.10996995,0.13518022,0.17621513,0.22200678,0.261271,0.28776622,0.30182028,0.3066642,0.30451176,0.29581046,0.28078339,0.26124397,0.23985617,0.21911657,0.20007099,0.18287075,0.16723877,0.15334362,0.14178957,0.13350181,0.12921274,0.12901717,0.1323219,0.13776171,0.14417653,0.15147233,0.16195525,0.17900223,0.20439933,0.2355061,0.26595297,0.28897414,0.2999331,0.29694447,0.2800059,0.25284678,0.22231947,0.19663663,0.17918473,0.16834074,0.15936373,0.14949422,0.13868712,0.12989135,0.12863608,0.14132708,0.17014764,0.20803954,0.23924422,0.24867128,0.23168296,0.1981947,0.16470395,0.14393212,0.13781786,0.14090435,0.14709157,0.1549535,0.16597675,0.18103896,0.19766843,0.21255787,0.22306661,0.228342,0.22717784,0.21920413,0.20552759,0.19055729,0.17950039,0.1779784,0.18868107,0.21069127,0.2353069,0.25025365,0.24562405,0.22312117,0.19401546,0.17212205,0.16480613,0.17239721,0.1904859,0.21368289,0.23595452,0.25298062,0.26217696,0.26306078,0.2543913,0.23498529,0.2054653,0.1706016,0.13729218,0.110981606,0.09303323,0.0816465,0.07416538,0.06891612,0.06521249,0.06279226,0.061558858,0.062047243,0.065648936,0.073303066,0.0837465,0.093149014,0.09824387,0.09971356,0.1022382,0.11008406,0.1227551,0.13558723,0.1438589,0.14685279,0.14735556,0.14913267,0.153638,0.15951215,0.16367185,0.16407652,0.16085064,0.15584825,0.15095879,0.14736778,0.14554562,0.1451966,0.14561568,0.14586441,0.14536266,0.14344026,0.13973035,0.13446532,0.12882198,0.12395211,0.12030208,0.11764791,0.1159694,0.115545444,0.116363406,0.11749535,0.11736739,0.11503441,0.11057466,0.10524381,0.10007694,0.09590232,0.09274035,0.090562545,0.08906162,0.08796371,0.087042995,0.086320706,0.08622802,0.087027125,0.08853588,0.09000162,0.09084833,0.09106198,0.0910427,0.09121982,0.0917162,0.092653036,0.094130434,0.09642165,0.099826604,0.1047403,0.11179364,0.12135994,0.13377072,0.1484195,0.16493116,0.182154,0.19954939,0.21548517,0.22948639,0.24166763,0.2550433,0.2710832,0.2881236,0.29861996,0.29571643,0.27662554,0.24891283,0.22890401,0.24158156,0.3035088,0.40908936,0.52030164,0.5924496,0.6007295,0.5591197,0.5017814,0.459855,0.44456425,0.4506376,0.4659873,0.48069862,0.49013746,0.49454257,0.49572816,0.49626577,0.49772438,0.50098157,0.5041725,0.5049432,0.50192416,0.4969511,0.49172476,0.48643717,0.4790981,0.46963075,0.46011615,0.45478472,0.45581815,0.4633424,0.47419986,0.4855918,0.4950664,0.50298506,0.50968695,0.51593035,0.5202575,0.5213919,0.51770675,0.51021695,0.5015582,0.49807015,0.5073505,0.5344963,0.5743124,0.6086669,0.6169868,0.5910957,0.54541695,0.50417066,0.48555186,0.48940483,0.5054218,0.52209455,0.53449625,0.5419684,0.546585,0.5493935,0.5502851,0.5468115,0.5372992,0.52106327,0.5006078,0.47984412,0.46449462,0.45822725,0.4624801,0.47613558,0.5002685,0.5349936,0.5765707,0.6106422,0.623158,0.60625964,0.56945425,0.52535933,0.48745272,0.4581475,0.43884435,0.4263042,0.41907287,0.41403762,0.41037074,0.40845692,0.40952846,0.41462612,0.42374733,0.4356701,0.44686112,0.45264116,0.4490331,0.43550637,0.41551813,0.3956511,0.38286984,0.38103032,0.38938868,0.40286246,0.41585132,0.42456767,0.4286114,0.42940032,0.42861602,0.4273374,0.42631426,0.4256787,0.4247806,0.4215407,0.41511703,0.40735626,0.40521243,0.41869894,0.4551972,0.51162195,0.5697337,0.6054469,0.6038461,0.57029325,0.5249577,0.48671773,0.46549127,0.45947993,0.46493816,0.4745243,0.48375714,0.4875863,0.485896,0.4789243,0.4683992,0.45511994,0.4412732,0.42939413,0.421101,0.4154098,0.410367,0.40578744,0.40630206,0.4193804,0.45072988,0.49583292,0.5394574,0.5633447,0.5599558,0.5377923,0.51300323,0.49813583,0.49428907,0.49644402,0.49785385,0.49641147,0.4927452,0.48928213,0.4868716,0.48583293,0.4864391,0.4897453,0.49549136,0.5019452,0.5066433,0.5090615,0.51038283,0.5123157,0.5150159,0.5172238,0.517176,0.5143221,0.5098236,0.5062035,0.5057309,0.5098002,0.5181442,0.5293335,0.5401844,0.5475013,0.54871565,0.5438759,0.534787,0.5247197,0.5167565,0.5141501,0.5213811,0.5430024,0.5787244,0.61640996,0.63663846,0.6236069,0.5796141,0.5205459,0.46721378,0.431452,0.4165679,0.4171468,0.42456797,0.42966333,0.42802063,0.42056045,0.4115024,0.40409827,0.39963618,0.397837,0.3982874,0.4006507,0.40453684,0.40995136,0.41761768,0.43007934,0.4515688,0.48451337,0.5261235,0.5643708,0.5868349,0.5855852,0.56785923,0.54463917,0.52889705,0.5220844,0.52351135,0.52723825,0.53155494,0.53350556,0.53284097,0.52863556,0.5218114,0.5136948,0.5061871,0.50045586,0.49630198,0.4927949,0.48945192,0.48762593,0.48913625,0.49487147,0.5029904,0.5109208,0.51663685,0.52061135,0.5239799,0.52785796,0.531645,0.5343518,0.53507906,0.5342768,0.5329709,0.531908,0.53110766,0.5300353,0.5286381,0.52742225,0.5289597,0.53799176,0.5590735,0.59075934,0.621417,0.6362054,0.6262472,0.5979998,0.5642696,0.538358,0.52456206,0.5233292,0.5304106,0.54048157,0.5472486,0.54729956,0.54187936,0.53473955,0.5286028,0.5220375,0.51169556,0.49559483,0.47619095,0.4592743,0.4509569,0.45460105,0.4701191,0.49612173,0.53058934,0.5692356,0.60275817,0.61973995,0.61312723,0.58431596,0.54118025,0.49353838,0.4519389,0.42540956,0.41880023,0.42801568,0.44318438,0.45378688,0.45619106,0.45300925,0.4509841,0.45500183,0.46653318,0.482409,0.49749884,0.50671905,0.5073993,0.4996786,0.48624408,0.47156927,0.4605408,0.45606327,0.457927,0.4632258,0.4697903,0.476539,0.4839448,0.49129236,0.49815068,0.5035882,0.5075969,0.50947213,0.5087759,0.50528115,0.49975297,0.4951558,0.49788094,0.5153823,0.5475511,0.5793354,0.58954144,0.568552,0.5318266,0.5045421,0.5015168,0.51505756,0.52897316,0.53241783,0.52558595,0.51353925,0.5006973,0.4898838,0.4825422,0.47959337,0.4804698,0.48402333,0.48772526,0.48898265,0.48520803,0.47634494,0.4648067,0.4564041,0.4591258,0.4802049,0.5196218,0.5646646,0.59646004,0.6009149,0.5811623,0.5496139,0.52090824,0.49930152,0.48444375,0.47201988,0.46133277,0.4534013,0.4514048,0.45627132,0.465825,0.47562483,0.48273,0.486926,0.48954073,0.491154,0.4915476,0.49085426,0.4899507,0.48953605,0.48950014,0.4889647,0.48683426,0.48241243,0.47557905,0.467025,0.4566333,0.44411287,0.4300746,0.41808376,0.41234446,0.41400805,0.41950712,0.42392686,0.42480472,0.42434624,0.42820075,0.44472447,0.47917795,0.5276956,0.5730514,0.5962799,0.5891676,0.5634735,0.53653103,0.5220701,0.51965547,0.52521235,0.5311009,0.5340385,0.5317495,0.5265243,0.52051145,0.51478523,0.50841236,0.5014266,0.49538636,0.49191642,0.49040878,0.48871145,0.48432937,0.47659087,0.46849704,0.46785486,0.48300084,0.51425606,0.54837984,0.56635547,0.5562906,0.523189,0.48196658,0.44888863,0.4320488,0.43287373,0.4460795,0.46424493,0.47955695,0.48770988,0.48800695,0.4830185,0.47671005,0.47328138,0.4751105,0.4813732,0.4883286,0.49240413,0.49245593,0.48973474,0.48517963,0.4787973,0.47010624,0.45983803,0.4487512,0.43829075,0.42958358,0.4252548,0.4256793,0.42994675,0.4344156,0.4382293,0.44174853,0.44722268,0.45461774,0.4635028,0.47331086,0.4861461,0.50554734,0.5332671,0.56409305,0.58679,0.59156895,0.5789886,0.5584824,0.540735,0.5298784,0.5244403,0.52091354,0.5167603,0.51120317,0.50459796,0.49824572,0.49281332,0.48851934,0.484704,0.48085997,0.47644886,0.471688,0.4675201,0.4655067,0.46684027,0.47252163,0.4843991,0.50737375,0.5442104,0.5904365,0.6283293,0.63974214,0.6168993,0.5721821,0.5249087,0.49065903,0.47264513,0.4671677,0.46822533,0.47116646,0.4738792,0.47644103,0.48064813,0.48687112,0.4941237,0.5003083,0.5048378,0.50781566,0.50933784,0.50824565,0.5034413,0.49536845,0.48694977,0.48224136,0.48375523,0.49036828,0.49801096,0.5026179,0.50272435,0.49979925,0.4967703,0.49647737,0.5005687,0.50889605,0.51956767,0.52997327,0.5379998,0.54263717,0.5450397,0.54911566,0.56141883,0.58473307,0.61335146,0.6327962,0.6314363,0.6101239,0.58091015,0.5576569,0.5447044,0.5412505,0.54194707,0.5450085,0.54645604,0.54550403,0.54104793,0.5354354,0.52967983,0.5241936,0.51813895,0.51085323,0.5020235,0.49021363,0.47440985,0.45419094,0.4320118,0.41018876,0.390144,0.37097433,0.35206637,0.33407804,0.31931624,0.31040215,0.3079531,0.30817285,0.30335572,0.287217,0.260662,0.23095495,0.20434974,0.18244094,0.16595787,0.16295095,0.18471962,0.23577702,0.3015915,0.3550423,0.36965272,0.33846608,0.276787,0.21597572,0.18236546,0.18361916,0.20414998,0.22329682,0.23116915,0.23548342,0.2466944,0.26611713,0.28370357,0.2884271,0.27510673,0.24583222,0.20835944,0.175323,0.15899022,0.16365612,0.18076259,0.19507958,0.19516386,0.1802725,0.15796186,0.13784899,0.12636359,0.12519003,0.13104506,0.1377038,0.1386354,0.13193026,0.1220539,0.11838264,0.12850493,0.15386812,0.18858676,0.22273047,0.24373722,0.24084656,0.20987892,0.15994155,0.10914773,0.075911626,0.067688175,0.08043554,0.10254753,0.12262908,0.13388401,0.13599204,0.13294564,0.12924176,0.12722717,0.126846,0.12732999,0.12803395,0.12860604,0.12839775,0.1268542,0.123842806,0.119891055,0.115494154,0.110645175,0.10488058,0.09797492,0.09036628,0.082868844,0.07612215,0.07022803,0.06500552,0.06018437,0.05563024,0.051284853,0.047265578,0.04373094,0.04083667,0.038524006,0.03659786,0.034800336,0.03301748,0.03130712,0.029744694,0.028325396,0.026904123,0.025431408,0.023964189,0.022661993,0.021611234,0.02082214,0.020298308,0.020057224,0.020132536,0.020459805,0.020922052,0.021358734,0.021691928,0.021936843,0.022157246,0.022317134,0.022171773,0.021477873,0.020365376,0.01962745,0.020268677,0.023141077,0.029237777,0.041150775,0.06308013,0.09851918,0.1463707,0.2001319,0.25104073,0.29298356,0.32396588,0.34397426,0.35157156,0.34467062,0.32388815,0.2960286,0.27112684,0.25642607,0.2516104,0.2511127,0.24995904,0.24738203,0.24572082,0.24662115,0.2494024,0.2515467,0.25112614,0.24779576,0.24300444,0.23859422,0.2360341,0.23572658,0.23725426,0.239761,0.24246985,0.2449081,0.24643366,0.24594052,0.24215488,0.23477882,0.2252388,0.21595527,0.20908898,0.20535158,0.20450099,0.20570065,0.2083232,0.211636,0.21526843,0.21904212,0.22318052,0.22740512,0.23068172,0.23160134,0.22979434,0.22660339,0.22427422,0.22427239,0.2264954,0.22993232,0.2342261,0.23986,0.24717183,0.25444567,0.2580442,0.2536013,0.23919314,0.21705371,0.1950019,0.18294753,0.18794715,0.20833357,0.23482466,0.25670543,0.26906338,0.27369788,0.2738502,0.2693497,0.25765243,0.23888975,0.21858577,0.20381065,0.19801372,0.19905965,0.20232566,0.20438337,0.20419502,0.20303774,0.2053772,0.22012334,0.26011264,0.3315915,0.42657742,0.51847124,0.5802691,0.5972772,0.57696915,0.53596884,0.49217007,0.45663843,0.43541625,0.42833474,0.43144464,0.43938836,0.44890276,0.4586234,0.46797642,0.47659162,0.48426446,0.49087057,0.49514934,0.495939,0.49267653,0.48639384,0.4779689,0.46852967,0.45889506,0.45051458,0.4436206,0.43821964,0.43360552,0.43034258,0.42855385,0.4288058,0.4304943,0.43313298,0.43494976,0.43488178,0.43250176,0.4292629,0.42637503,0.42582753,0.43210188,0.45438942,0.5003919,0.5663861,0.63188976,0.66990995,0.6640206,0.6181681,0.55119735,0.48512504,0.43696463,0.41516343,0.41851977,0.4367405,0.45701718,0.47013953,0.47484073,0.47380814,0.47093943,0.46735558,0.46310642,0.4568096,0.44871417,0.43995175,0.43353772,0.43280217,0.4429706,0.47094977,0.519676,0.581053,0.6321531,0.65146536,0.6309822,0.5866485,0.5382394,0.5019429,0.47681186,0.45962903,0.4438084,0.42945775,0.41610256,0.4053307,0.3972462,0.39307347,0.39500746,0.40399238,0.41783288,0.4308014,0.43851218,0.44053268,0.43965182,0.4381889,0.4364027,0.43425608,0.43227825,0.4313161,0.43075037,0.4297353,0.42777172,0.425674,0.42382416,0.42253694,0.42162147,0.4212003,0.42042506,0.41841352,0.41466287,0.410311,0.40806988,0.41360888,0.4365064,0.48342252,0.54856247,0.60745734,0.6339276,0.6162312,0.56928104,0.5149501,0.47296786,0.44714415,0.43764055,0.43721047,0.44045696,0.44079098,0.4375197,0.43226954,0.42755952,0.42337632,0.4187175,0.4133769,0.40875265,0.4059763,0.40455374,0.40325084,0.40366277,0.4122273,0.43813732,0.48262772,0.5347624,0.5730327,0.58457804,0.5711529,0.5483939,0.528692,0.5167112,0.5096871,0.5042094,0.49817657,0.49149594,0.48589492,0.48356557,0.48564592,0.49114177,0.49809793,0.50470454,0.51028514,0.5148603,0.51872206,0.52206993,0.5250556,0.5278904,0.5302766,0.5313957,0.5300357,0.5256522,0.5185738,0.5101539,0.5019458,0.495111,0.48956165,0.48451796,0.4791079,0.47344318,0.46796796,0.46383402,0.4617828,0.4624331,0.46610785,0.47527406,0.49480996,0.5264142,0.5629135,0.58836746,0.59154296,0.57358754,0.54717463,0.52320737,0.5061486,0.4947509,0.4875735,0.4830846,0.47982013,0.4766257,0.4738686,0.472886,0.47465083,0.47905925,0.48480654,0.49026945,0.4938554,0.49489132,0.4933741,0.49023402,0.4880309,0.49232933,0.51072615,0.5451035,0.58438665,0.60629606,0.593673,0.5478641,0.4861382,0.4259635,0.37429473,0.3305858,0.29365006,0.26425353,0.24239282,0.22668706,0.21513276,0.2075149,0.20513992,0.21137397,0.22735746,0.25006267,0.27010643,0.2789382,0.27347863,0.25891873,0.24220891,0.22797807,0.21704663,0.20911205,0.20398545,0.20115794,0.19986014,0.19930124,0.19966012,0.20108657,0.20368557,0.20656396,0.20905137,0.21007317,0.20969559,0.20855944,0.20857424,0.21069004,0.2143892,0.21784037,0.2198621,0.22058772,0.22078209,0.22140037,0.22351049,0.22837134,0.23663151,0.24932839,0.26864314,0.29704908,0.33266792,0.3672417,0.3898516,0.3946438,0.38468334,0.36828482,0.35236764,0.33853626,0.32570246,0.31391275,0.30639234,0.30563182,0.310621,0.31592062,0.31619528,0.30849802,0.29418302,0.27805743,0.26812175,0.27119502,0.28811982,0.31058565,0.3266754,0.32750311,0.31263736,0.28701085,0.25722876,0.2272978,0.19827688,0.16959555,0.14127426,0.115410775,0.09458179,0.08005609,0.07071058,0.06465963,0.060477287,0.05760784,0.05537678,0.052994046,0.04969634,0.045529697,0.041003823,0.03693606,0.033865917,0.03202971,0.031223714,0.03097883,0.030724457,0.030084843,0.02898472,0.027641585,0.026299134,0.025107173,0.024047054,0.023122163,0.022320991,0.02159918,0.020757819,0.019638613,0.018255886,0.016829997,0.015582803,0.014580215,0.014164536,0.016200203,0.025245527,0.047539443,0.08604994,0.13556446,0.1821137,0.21117418,0.21684955,0.20635563,0.19318472,0.18704301,0.1872807,0.18663138,0.18019651,0.17044483,0.16462158,0.16640943,0.17353493,0.18040486,0.18514492,0.19101347,0.2030024,0.22251487,0.2446012,0.26158625,0.2668799,0.25970158,0.24376512,0.22598414,0.21183757,0.20378488,0.20027767,0.19868933,0.197995,0.19946511,0.20425957,0.2107126,0.21535648,0.21601538,0.21388976,0.2113582,0.20891555,0.20432538,0.19587918,0.18472134,0.17465854,0.16718446,0.16019273,0.14926125,0.13389298,0.11665133,0.101234965,0.088228464,0.07954431,0.07981243,0.094864674,0.12343007,0.15534931,0.17740057,0.18355338,0.17799366,0.17021237,0.16598187,0.16548501,0.1652375,0.16316587,0.15732963,0.14576888,0.1264772,0.10102632,0.07455502,0.052922312,0.038951457,0.031731676,0.028669821,0.02744954,0.026840338,0.026317118,0.02576781,0.025209151,0.02470768,0.024358027,0.024364008,0.025084004,0.026643896,0.028700344,0.030808285,0.034293804,0.04377818,0.06577154,0.1032334,0.15015449,0.19211997,0.21499403,0.214819,0.20127565,0.18950461,0.18960738,0.20025672,0.21368867,0.22235739,0.22396372,0.21954356,0.21128859,0.20099127,0.19066171,0.18354732,0.1830941,0.19111173,0.20452093,0.21669793,0.22042973,0.21272045,0.19548376,0.17520513,0.16005088,0.15685098,0.16681872,0.18510048,0.2038268,0.2174982,0.22456163,0.22625268,0.22453444,0.22125058,0.21734136,0.21173923,0.20321472,0.19291367,0.18544888,0.18432467,0.18831806,0.19224702,0.1922523,0.18831348,0.18211316,0.17370123,0.16171236,0.1462097,0.13109964,0.122461855,0.1248286,0.13695048,0.15197133,0.1614011,0.16063632,0.15101807,0.13702981,0.122947484,0.11085484,0.10152004,0.09394446,0.08632106,0.077893555,0.07224715,0.07575183,0.09264186,0.12016523,0.15051769,0.17627351,0.19479595,0.20755799,0.21707247,0.22487237,0.23142622,0.23712994,0.24224657,0.2467506,0.2499057,0.25108054,0.24999131,0.24707256,0.24257283,0.23655409,0.22896068,0.22026223,0.21063077,0.19884425,0.18255441,0.16083437,0.13717784,0.11895913,0.11460451,0.1273213,0.15253823,0.17676918,0.18634647,0.17441599,0.1469766,0.11570536,0.091010846,0.07606768,0.070133954,0.071097486,0.077350296,0.08666512,0.097088374,0.10783524,0.11972693,0.13344629,0.14818393,0.161459,0.17034121,0.17287618,0.16892259,0.16033752,0.14980768,0.13967328,0.13091698,0.123558454,0.11658689,0.10842183,0.097367294,0.0834774,0.069200985,0.05911702,0.057878535,0.06818173,0.0879528,0.10935876,0.12160776,0.11792007,0.100546144,0.07882501,0.06197616,0.05371389,0.053089257,0.057861343,0.066584654,0.07763707,0.08906161,0.0991688,0.10783503,0.11568912,0.12292153,0.12834464,0.13054074,0.12914957,0.125448,0.12124903,0.11741903,0.113484025,0.10828793,0.10174572,0.09488223,0.08908295,0.08393651,0.07781603,0.06932181,0.05949409,0.05079137,0.045308948,0.042977955,0.042153165,0.04098161,0.038622543,0.035414565,0.032106977,0.029252695,0.026912415,0.025015837,0.023513472,0.022423418,0.02171834,0.021281717,0.020935513,0.020468863,0.019752137,0.018791636,0.017713077,0.01669362,0.01585075,0.015212444,0.014665071,0.01407937,0.013393688,0.012825859,0.0129158,0.014548213,0.018396728,0.02436014,0.031082356,0.036685456,0.03973854,0.04023486,0.0392963,0.038498398,0.038946196,0.040958095,0.04412211,0.047760677,0.051446956,0.05516003,0.059175998,0.06421814,0.07212338,0.08608577,0.1085761,0.1385306,0.17007832,0.19588764,0.21143109,0.21690743,0.21538801,0.20990483,0.20278257,0.195376,0.18872285,0.18269055,0.17651026,0.16883852,0.1589187,0.14693727,0.13440071,0.12313325,0.11433775,0.10800316,0.10353893,0.10040093,0.098034024,0.09575804,0.0927485,0.08892705,0.08486711,0.08161727,0.07970082,0.079054154,0.07905501,0.07901904,0.078448154,0.077191316,0.07541039,0.07349139,0.071962304,0.071433134,0.07222739,0.07410142,0.07622937,0.07772707,0.07811239,0.077371776,0.07585134,0.07401686,0.0723431,0.0708974,0.06939255,0.06750897,0.06573709,0.065234624,0.06698292,0.07054218,0.074288525,0.076625,0.07713097,0.07623416,0.07422751,0.070887744,0.06607497,0.060345527,0.05475959,0.050167482,0.046796303,0.04440896,0.043272916,0.0448146,0.052017808,0.06706435,0.0893873,0.11377597,0.13382192,0.14487034,0.1471842,0.14374201,0.13821249,0.13263439,0.12766087,0.12318009,0.118828334,0.1143998,0.10965097,0.1045768,0.099060364,0.09309149,0.08660146,0.07986496,0.073190436,0.06689091,0.060946036,0.05550119,0.050923597,0.04775587,0.046095785,0.04548983,0.045224547,0.044815063,0.044154093,0.043291356,0.042137846,0.040480237,0.038248446,0.035909925,0.034292754,0.034159433,0.035607267,0.038151454,0.04102497,0.043658406,0.04574583,0.04723234,0.048179578,0.04872189,0.048992682,0.049063127,0.048931558,0.048559714,0.047970947,0.04725446,0.046551317,0.0459978,0.045748305,0.045936804,0.046565514,0.0474043,0.048039954,0.048132375,0.04759262,0.046630215,0.0455575,0.04462866,0.043907803,0.043306034,0.042670634,0.0418905,0.040918738,0.039682817,0.03802832,0.035725474,0.032665998,0.02896639,0.02500242,0.021193882,0.017880537,0.015213571,0.013218265,0.011809328,0.010870361,0.01028268,0.009939334,0.009687354,0.00934974,0.0088293,0.008204586,0.007647686,0.007270741,0.0070604533,0.0069367304,0.0068054334,0.0065632355,0.006157821,0.0056480947,0.005185714,0.0048727975,0.004703795,0.0046064933,0.004526124,0.0044195545,0.004256648,0.0040260158,0.0037644075,0.0035227332,0.0033466679,0.0032409949,0.0031685478,0.0030564955,0.0028580904,0.0025906374,0.0023168677,0.002075738,0.0018462093,0.0015787599,0.0012464201,0.00087924465,0.00053995004,0.00028757766,0.00013716477,6.727626E-05,4.1268297E-05,3.4660923E-05]