[0.058558762,0.07428506,0.10583839,0.13944052,0.16376494,0.17555963,0.17821002,0.17738752,0.17655152,0.17588095,0.17348473,0.16852492,0.16308261,0.16127606,0.16589786,0.17590141,0.18737964,0.19607283,0.19904594,0.19381131,0.17889015,0.15553206,0.12990303,0.11048645,0.1034245,0.109203696,0.12429952,0.14478783,0.16738522,0.18870538,0.20468901,0.21286221,0.21359296,0.20945609,0.20283617,0.19495684,0.18648864,0.17832,0.1718163,0.16770874,0.16581436,0.16428468,0.16100584,0.154287,0.14444554,0.1330695,0.12206671,0.11202192,0.102259405,0.092249,0.08348771,0.08001714,0.08603399,0.1026782,0.12592068,0.14900972,0.16628112,0.17653327,0.18203397,0.18596692,0.18976785,0.19274853,0.1933641,0.19079913,0.18608153,0.1814664,0.17931218,0.180461,0.18392144,0.18702047,0.18638504,0.17912208,0.16434588,0.1449479,0.1267256,0.116019756,0.115435354,0.123715855,0.13703121,0.15234232,0.16776867,0.18265271,0.19646472,0.20837009,0.21693633,0.22067928,0.21899839,0.2125715,0.202877,0.19152407,0.17952168,0.16723405,0.15459959,0.14216183,0.13141577,0.12396056,0.1200656,0.11812073,0.116098754,0.11296294,0.10929987,0.106441796,0.10588506,0.109080404,0.116877615,0.12885971,0.1425366,0.15467107,0.1627592,0.16671951,0.1684761,0.17071086,0.17516677,0.18150492,0.18770058,0.19144629,0.19202314,0.19071436,0.18934663,0.18862931,0.18703069,0.18195538,0.17078148,0.15304418,0.13115953,0.1108722,0.09872802,0.09913228,0.11216464,0.13436504,0.1608987,0.18707846,0.20902193,0.22411382,0.23184158,0.23380725,0.23245712,0.22939293,0.22473395,0.21811406,0.21017873,0.20285201,0.19780536,0.19450833,0.19029509,0.18226634,0.16978215,0.15454198,0.1397021,0.1278547,0.12042851,0.116656385,0.11406446,0.11007974,0.1048257,0.10256767,0.108584136,0.12524168,0.14875174,0.17259024,0.19098751,0.20249678,0.20845711,0.21157539,0.21404882,0.21727844,0.22132452,0.22480102,0.22534145,0.2211978,0.21252902,0.20174687,0.19190161,0.18525583,0.18196611,0.18009305,0.17586993,0.16592981,0.1502527,0.1336823,0.12339968,0.123614185,0.13288276,0.14571412,0.15729582,0.16575645,0.17160414,0.17571372,0.17826194,0.17908509,0.17790407,0.17511074,0.17151897,0.16817032,0.16500582,0.16105281,0.15536457,0.14881302,0.1435992,0.14159924,0.14232542,0.14337385,0.14216162,0.1378321,0.1313661,0.12477615,0.12027627,0.119950525,0.12470293,0.13314712,0.14135443,0.14533584,0.14353764,0.13797909,0.13225509,0.12911297,0.12871058,0.12922561,0.12878217,0.12789942,0.12929864,0.13617717,0.14851981,0.16321538,0.17492922,0.18023624,0.17832637,0.17156608,0.1629476,0.15454055,0.14657454,0.13829283,0.13062443,0.12682588,0.13121606,0.1443377,0.16154747,0.17546773,0.1818914,0.18195975,0.17979902,0.17821383,0.1770799,0.17491603,0.1709842,0.16611436,0.16147767,0.15763451,0.15366966,0.1482652,0.14040308,0.1308503,0.1216801,0.115279056,0.11227423,0.111228906,0.109927684,0.107548654,0.10542962,0.10592383,0.110696875,0.119764365,0.13200837,0.145862,0.16004337,0.17367844,0.18640848,0.19805409,0.20815463,0.21568324,0.21928334,0.21803236,0.21246856,0.20497483,0.1989999,0.19702582,0.19917731,0.20347977,0.20747064,0.20952763,0.20919187,0.20655394,0.20183563,0.19503748,0.18713862,0.17997026,0.17633164,0.17765762,0.18399681,0.1933129,0.20281304,0.20935118,0.21085586,0.20706862,0.19933558,0.18991502,0.18087439,0.17330182,0.1664797,0.158289,0.14710583,0.13376509,0.12167832,0.1149396,0.11576623,0.12343574,0.13456859,0.14520918,0.15288736,0.1580477,0.16335256,0.17114367,0.1812491,0.1902297,0.19398074,0.19026734,0.1807196,0.16934367,0.16052832,0.15679927,0.15867287,0.16483627,0.1730492,0.18037051,0.18472014,0.18577377,0.18575442,0.18730752,0.19173743,0.19753812,0.20158869,0.20046236,0.19227915,0.17780411,0.16108112,0.14830726,0.14492102,0.1524778,0.16747057,0.18376417,0.19648153,0.20448834,0.20937802,0.21271645,0.21442862,0.21309543,0.20771897,0.19847552,0.18714726,0.17564775,0.16545905,0.15653701,0.14865565,0.14152117,0.13548644,0.13032359,0.12543662,0.11983493,0.113190375,0.10610629,0.10061711,0.099653184,0.105998896,0.12013838,0.1392784,0.15809791,0.17168099,0.17822854,0.17960799,0.17976491,0.1816418,0.18582569,0.19033886,0.19297062,0.19265467,0.1903265,0.18751502,0.1852387,0.1835174,0.18218225,0.1813271,0.18111455,0.18102211,0.18037921,0.17889875,0.17737977,0.1759565,0.17306952,0.16524453,0.15051623,0.13145417,0.11495931,0.10738256,0.10927275,0.11557182,0.11999446,0.1195682,0.114423364,0.10760098,0.10408481,0.11154597,0.13178635,0.15921986,0.18178107,0.19908714,0.22179085,0.26195332,0.3108498,0.34373996,0.3402822,0.30405053,0.26056942,0.23862828,0.2580382,0.3180635,0.39867926,0.4628742,0.48166332,0.45035648,0.3934687,0.3408141,0.3090185,0.2964138,0.29410267,0.29556242,0.29802015,0.3008779,0.30067682,0.29257634,0.2711465,0.23796761,0.19995837,0.16722696,0.14579608,0.13711447,0.14041257,0.15539545,0.18745981,0.24283771,0.32496032,0.41862425,0.49442038,0.5179457,0.4793131,0.40152466,0.3333082,0.31446028,0.34909546,0.4017562,0.4257066,0.39943683,0.33933762,0.28189662,0.25005677,0.24123313,0.23578393,0.22074978,0.19636126,0.17393057,0.16222484,0.16351502,0.17204349,0.17995109,0.18414162,0.19184352,0.21965432,0.27717412,0.35420045,0.41930616,0.44655076,0.43395925,0.40459934,0.38147798,0.37238988,0.37124053,0.37124538,0.37162587,0.37393335,0.37605467,0.36969304,0.3462886,0.3044925,0.2542719,0.20989512,0.1815782,0.16894366,0.16630864,0.16835077,0.17821936,0.20578009,0.26153457,0.3446615,0.43640938,0.50607055,0.5264934,0.49437177,0.4342971,0.38698053,0.3794694,0.40694726,0.4353217,0.43117628,0.38699582,0.3253901,0.2751803,0.24863817,0.23893349,0.23761596,0.25056306,0.2880909,0.3479332,0.4035308,0.42756602,0.41141212,0.3754754,0.34791133,0.34949884,0.38438168,0.4402503,0.49159274,0.5084649,0.47834626,0.41382623,0.34553003,0.2964417,0.27223098,0.2647725,0.26642314,0.27371737,0.28516015,0.29529884,0.29599962,0.280661,0.2508853,0.21614741,0.18839598,0.17402041,0.17104568,0.17398876,0.18059014,0.1973723,0.23430188,0.297742,0.37938142,0.45819807,0.5067019,0.50809956,0.46711424,0.4119885,0.3789363,0.38679636,0.42308578,0.45102432,0.4412981,0.3932384,0.33502272,0.2957002,0.2853588,0.29211998,0.29978606,0.3000569,0.29520845,0.29025853,0.28803492,0.28799295,0.28841054,0.28956962,0.29583868,0.3165307,0.35711157,0.40989769,0.45023438,0.45316258,0.41248107,0.34765232,0.28782457,0.25162157,0.23967756,0.24107236,0.24588013,0.24973021,0.2546306,0.26028496,0.26278272,0.25342432,0.23059313,0.20025171,0.17523824,0.16245513,0.16143143,0.16680245,0.17736493,0.20042269,0.24636717,0.32164007,0.416417,0.5079312,0.56539464,0.57083005,0.52899414,0.47056547,0.43241766,0.43278587,0.45928434,0.47981003,0.47224972,0.4378368,0.3964728,0.3615398,0.33384177,0.30794692,0.29150623,0.2990785,0.33690894,0.38511,0.4125931,0.40017614,0.35780284,0.3127745,0.29166052,0.30838493,0.36038038,0.42731774,0.47491026,0.475224,0.42697445,0.35720766,0.29860517,0.26647067,0.25621232,0.25559065,0.25772735,0.26152638,0.26795253,0.27278718,0.2682631,0.24593265,0.20732953,0.16331606,0.1311572,0.1203258,0.12953068,0.14827333,0.17029077,0.20088147,0.25266612,0.33295178,0.42741212,0.5060952,0.535188,0.50596523,0.43909195,0.37899843,0.3604795,0.38745168,0.42812908,0.44181857,0.41008523,0.34916958,0.2933471,0.2652395,0.26368332,0.27110204,0.2742658,0.27021658,0.2648301,0.26200664,0.26340225,0.2679429,0.27541712,0.28712228,0.30744362,0.34351096,0.39455926,0.44596958,0.46990967,0.44957876,0.39156032,0.32439637,0.27314278,0.24623036,0.23626725,0.23316716,0.23216581,0.23407775,0.2416165,0.2529241,0.2606541,0.2550014,0.23391415,0.20447464,0.17929222,0.16480483,0.16034734,0.16160318,0.17138846,0.19963269,0.2572026,0.34274706,0.43839154,0.5154937,0.549419,0.53480667,0.49079466,0.45200384,0.44487974,0.46875915,0.49644932,0.49824592,0.46609405,0.41665566,0.37196615,0.33969083,0.31446245,0.2932777,0.2877082,0.30974427,0.35492626,0.39411736,0.39972937,0.36559466,0.31482205,0.27758622,0.27578294,0.31401944,0.3794825,0.44381806,0.47316995,0.4508706,0.38874295,0.31940448,0.2699007,0.24766201,0.24349804,0.2467343,0.25280908,0.26229748,0.27313122,0.27848348,0.2693059,0.2434702,0.2081513,0.17588496,0.1554104,0.14712471,0.14752917,0.15510498,0.17697574,0.22245038,0.29621348,0.385923,0.46621215,0.5070708,0.49286866,0.4328353,0.36111465,0.32007554,0.33160993,0.38223755,0.42920777,0.43736348,0.40197718,0.3502663,0.30938455,0.2878016,0.27362287,0.25537923,0.23098184,0.20729525,0.18937989,0.17844205,0.17228073,0.16969262,0.17119052,0.18208164,0.21173142,0.26693308,0.33940843,0.4032488,0.43048844,0.41358724,0.370726,0.32909402,0.30395398,0.29408693,0.29103222,0.28951266,0.289116,0.29174575,0.2957168,0.29533878,0.28131485,0.25037047,0.20679879,0.16384487,0.13385215,0.1250902,0.13816391,0.16946644,0.2156806,0.27562752,0.35027254,0.4333707,0.51016474,0.5577299,0.5619332,0.52709496,0.4790913,0.44640824,0.44203782,0.45546272,0.4665362,0.46267235,0.4460194,0.42541838,0.40335807,0.3759657,0.34015402,0.30727455,0.2948726,0.3130213,0.34716687,0.36906168,0.35805693,0.31873694,0.2766539,0.26030526,0.28702468,0.3521713,0.42961597,0.4803191,0.4771316,0.42329037,0.34970748,0.28994548,0.2579684,0.24747705,0.24574007,0.24643302,0.2502068,0.2594849,0.2709814,0.27631068,0.26577532,0.23947395,0.20633839,0.17983782,0.16458838,0.1567864,0.14984292,0.14614677,0.16027944,0.20885499,0.29724267,0.4046934,0.49440265,0.52872163,0.49894607,0.42910287,0.36731556,0.3509861,0.38395217,0.43241683,0.45366773,0.42850384,0.3738999,0.32369706,0.2996421,0.29938105,0.3064403,0.30840465,0.30275753,0.29379785,0.28492913,0.2778099,0.27281684,0.27063188,0.27399433,0.28851697,0.32267419,0.37551507,0.4309452,0.4582709,0.43835768,0.37643608,0.30195814,0.24164511,0.20599405,0.18894856,0.18267323,0.18468131,0.19680637,0.21883146,0.2446508,0.2639282,0.26759294,0.2540352,0.22960915,0.20450614,0.18597497,0.17662275,0.17696749,0.19043697,0.22406678,0.28329894,0.36441216,0.44879928,0.50835145,0.5180363,0.47560915,0.40713355,0.3561113,0.35192826,0.38918373,0.4297665,0.43569455,0.39669856,0.33553448,0.2824146,0.25154313,0.23764642,0.23350994,0.24501906,0.28158543,0.33948287,0.39213058,0.41352177,0.39753154,0.36519024,0.34306586,0.34823024,0.38167587,0.43011856,0.46856275,0.46905494,0.42002583,0.3364791,0.25120792,0.1910705,0.16287617,0.15709947,0.16151512,0.1701312,0.18368173,0.20261575,0.22231431,0.23170394,0.22240491,0.19503565,0.16187088,0.13667901,0.12649582,0.12900297,0.14017558,0.16411255,0.21012922,0.28532276,0.37938532,0.46918324,0.52579916,0.5338605,0.49983415,0.45144057,0.42297664,0.42989197,0.46019188,0.4804621,0.4679439,0.42452726,0.37566796,0.34309673,0.33191133,0.32996273,0.32500622,0.3121673,0.29539767,0.27995047,0.26949647,0.26454142,0.2638118,0.26702836,0.27833232,0.3078812,0.363178,0.43642244,0.4996901,0.5208871,0.48884618,0.42240563,0.35507986,0.309273,0.28699622,0.27736273,0.2712088,0.26608786,0.26521572,0.26926643,0.2740979,0.26943743,0.249749,0.21672101,0.18095092,0.1502827,0.12803078,0.11402584,0.1129914,0.1367367,0.19642605,0.29406866,0.41153654,0.5184265,0.5804339,0.58216196,0.5341735,0.4728111,0.43605733,0.43884924,0.46391657,0.47810254,0.46293053,0.42476043,0.38505498,0.35445988,0.33001328,0.30553588,0.2914969,0.30645195,0.3564982,0.41762224,0.45219147,0.4401321,0.39408636,0.34620455,0.32239214,0.33397135,0.37614393,0.43181363,0.47268388,0.47563216,0.43833587,0.38156357,0.33106026,0.29962072,0.285166,0.27996007,0.28004113,0.28490806,0.29455742,0.30398035,0.3051162,0.29003683,0.2596728,0.22262728,0.1913556,0.17195319,0.16445422,0.16706151,0.18307678,0.22026889,0.28245696,0.3657883,0.4533989,0.524116,0.554411,0.537704,0.48879993,0.44471085,0.43607697,0.46512094,0.5006435,0.50482196,0.46386933,0.39667633,0.33603764,0.3004482,0.28566664,0.27514043,0.26003197,0.24405198,0.23670875,0.24128397,0.25239775,0.26244017,0.26770732,0.27262476,0.28719744,0.32404664,0.38563678,0.45593843,0.5024335,0.49989915,0.4499911,0.3809191,0.32349655,0.2915889,0.2803935,0.27930486,0.28170922,0.28637353,0.29305324,0.29907873,0.2995634,0.29042414,0.27229127,0.24992536,0.22937779,0.2134211,0.20279019,0.19890957,0.20776255,0.23751639,0.2933495,0.37092102,0.45296535,0.51330084,0.52776337,0.49214682,0.429642,0.38107064,0.3749105,0.40602025,0.43907103,0.4403509,0.4039379,0.35258472,0.3119615,0.2898328,0.27816233,0.2713238,0.27770793,0.30624628,0.35144815,0.38850328,0.39830986,0.38139486,0.3593361,0.35235026,0.37031507,0.41126004,0.46425834,0.50892955,0.5206675,0.48835465,0.42361805,0.35405183,0.30128542,0.2704006,0.2537673,0.24393208,0.23894767,0.24123068,0.25042877,0.26169562,0.26617265,0.2592392,0.24299975,0.22591211,0.2145046,0.20965666,0.20822175,0.20959906,0.22114278,0.25414422,0.31641015,0.40008566,0.48092604,0.5244976,0.5073386,0.43528828,0.34796003,0.29755327,0.3109865,0.3699532,0.4219209,0.42519298,0.37752077,0.3148514,0.2736402,0.2660677,0.2776827,0.29075184,0.29753694,0.3021629,0.30913353,0.31917107,0.32870194,0.3350122,0.33751845,0.33754095,0.33551285,0.3287135,0.31231305,0.28287402,0.24407019,0.20533352,0.17744629,0.16394095,0.16169472,0.16383767,0.16711156,0.17151445,0.17917854,0.19065447,0.2054463,0.22241725,0.24034517,0.25741932,0.2714837,0.28116915,0.28637046,0.28774694,0.2858766,0.2814357,0.2755332,0.26955017,0.2639651,0.25748852,0.24762101,0.23235987,0.2131095,0.19545777,0.18797033,0.1962722,0.21752922,0.24013491,0.25125125,0.24821912,0.23890364,0.23543765,0.23932023,0.24478668,0.24319835,0.2393259,0.24092178,0.2534429,0.26513705,0.26319003,0.24109793,0.20866448,0.18084185,0.17356582,0.19928455,0.25993302,0.33826387,0.39830098,0.4098923,0.37179777,0.31320393,0.2678206,0.24932216,0.24995749,0.25496843,0.2575134,0.25972176,0.2678206,0.28281236,0.29893813,0.30585876,0.29896402,0.28092843,0.25984186,0.24016751,0.22354954,0.21236517,0.21448229,0.2397242,0.29117677,0.3620865,0.43331102,0.4823772,0.48723948,0.44518292,0.37610796,0.32033905,0.30859295,0.34291098,0.39402044,0.4276801,0.4291143,0.40945593,0.38940504,0.38002598,0.37729475,0.37114093,0.35687396,0.33725706,0.31739366,0.29859272,0.278296,0.2532582,0.22435178,0.19992572,0.19552721,0.22738953,0.2956474,0.37727782,0.43340597,0.4411645,0.4073048,0.3626345,0.33118892,0.31873897,0.3161823,0.31574157,0.3158469,0.31968817,0.32871965,0.34021577,0.34689113,0.34317002,0.3289814,0.31088093,0.2953016,0.2844166,0.276938,0.27310607,0.27879035,0.30120155,0.34532747,0.4068341,0.47301054,0.5223889,0.5350842,0.5055568,0.45177206,0.40692067,0.39453688,0.41196802,0.43281364,0.4329419,0.40769398,0.37307253,0.3448453,0.32656127,0.31145754,0.2995971,0.3022286,0.32870522,0.37058935,0.40250325,0.4062077,0.38371572,0.3567171,0.34628037,0.36544928,0.41354653,0.47613838,0.52589566,0.53610593,0.50057274,0.43836895,0.3795611,0.34256065,0.3274785,0.32395476,0.3236182,0.32448044,0.32882246,0.33799168,0.3500483,0.35954496,0.3619523,0.3559797,0.344601,0.33142063,0.31862715,0.30804,0.30279514,0.3103973,0.3359178,0.38163623,0.43690956,0.48518586,0.50180554,0.47393253,0.4076698,0.3358711,0.29638302,0.30720106,0.35144135,0.3916513,0.4001145,0.37801316,0.34879982,0.33360544,0.33518887,0.34064254,0.33800957,0.32490483,0.3077409,0.2915968,0.27678254,0.2592762,0.23647352,0.21233743,0.19948141,0.21709104,0.2749414,0.36033288,0.43496093,0.46262738,0.43495357,0.3783828,0.32803974,0.30280325,0.29944274,0.3056741,0.31322634,0.32047215,0.32974306,0.3410503,0.35087776,0.35206032,0.34155396,0.32159972,0.29958218,0.27990007,0.26360455,0.25096896,0.24626572,0.25857177,0.29372868,0.3524673,0.4219469,0.48328552,0.5111146,0.4942415,0.44207248,0.38812152,0.36436167,0.37959862,0.413076,0.4346619,0.42903814,0.40307364,0.37369823,0.34955928,0.32851446,0.30724683,0.29575405,0.30765736,0.34554854,0.38759637,0.4085145,0.39985582,0.38009557,0.37485993,0.39886823,0.44905424,0.5082794,0.5522261,0.5574668,0.5170502,0.44742742,0.3798935,0.33916512,0.33016992,0.34211823,0.36100337,0.37867808,0.3933622,0.406166,0.41727224,0.4244598,0.42456874,0.41662487,0.40268585,0.38609347,0.3683075,0.34940803,0.33084843,0.3181236,0.31961098,0.34082663,0.3812846,0.4288304,0.46463904,0.46632758,0.42866436,0.36844322,0.32310906,0.31868723,0.3523072,0.39048,0.40094915,0.37568823,0.33528206,0.30479547,0.29409525,0.2936006,0.2894781,0.27604458,0.25797388,0.2417934,0.22911823,0.21585679,0.19706033,0.17295705,0.15346584,0.1571485,0.2013907,0.28375736,0.37538326,0.43356565,0.4358326,0.3932377,0.34054077,0.30343142,0.28722247,0.28154242,0.2785729,0.27766266,0.2836109,0.2973772,0.31408697,0.32357022,0.31930253,0.30165377,0.27827,0.25657544,0.24036004,0.23036607,0.22825642,0.23991609,0.27160594,0.3261589,0.3956389,0.462605,0.5039976,0.50365716,0.46437564,0.40979543,0.37300196,0.37119362,0.39603317,0.41915643,0.42010808,0.39869118,0.37255323,0.35450983,0.34355065,0.33105752,0.3180453,0.31807527,0.34018254,0.37591243,0.4006792,0.40096125,0.38059703,0.36026326,0.3545358,0.3724303,0.41045222,0.4554135,0.48197165,0.46969402,0.42021337,0.35848323,0.31318548,0.295338,0.29754075,0.30599406,0.31336212,0.3196282,0.32852814,0.3408467,0.3534206,0.35922685,0.3547196,0.3412845,0.32531813,0.31067815,0.29702702,0.28294078,0.2717123,0.2752314,0.3041481,0.36229166,0.43375072,0.4928834,0.50922954,0.47238454,0.39778545,0.32679465,0.29862663,0.32380912,0.37669018,0.41583833,0.41853166,0.39176965,0.3613385,0.34383056,0.33844784,0.33230898,0.31733105,0.29378903,0.26762375,0.24200535,0.21637082,0.18855138,0.15906034,0.13505499,0.1305583,0.16419506,0.24131483,0.3433579,0.42618608,0.45380798,0.42112923,0.36012688,0.3073094,0.28140354,0.27720106,0.28219473,0.2886784,0.29644647,0.3082179,0.32298723,0.33555183,0.3381634,0.32862782,0.31086993,0.29353622,0.28189352,0.27766183,0.28080165,0.29339597,0.3155123,0.33880043,0.34726086,0.3276873,0.2837291,0.23300795,0.1953756,0.17708421,0.17296784,0.1728978,0.17114563,0.16625227,0.16086833,0.15963133,0.16756965,0.18578732,0.20811199,0.2259825,0.23602681,0.24815847,0.27072468,0.3013065,0.31773713,0.3048798,0.2633578,0.21608482,0.18580115,0.19031079,0.23649438,0.31668076,0.40461233,0.46213067,0.46773663,0.42852077,0.37565422,0.33481428,0.3151085,0.30998647,0.31163523,0.31535998,0.31996697,0.32274053,0.31880438,0.3016523,0.26892355,0.22409709,0.17580022,0.1320364,0.09745311,0.07494325,0.06890764,0.08858546,0.14169544,0.22918136,0.33616874,0.43707275,0.5025661,0.5157289,0.48273858,0.43275416,0.4033916,0.41190806,0.44563684,0.4687419,0.4578693,0.41553462,0.36768293,0.33225933,0.308857,0.2822896,0.24631031,0.20928562,0.1889322,0.19391982,0.21945055,0.25064012,0.27590448,0.29236743,0.30722097,0.33104286,0.36951104,0.4148461,0.4476111,0.4498864,0.42134142,0.37909928,0.34414676,0.32553923,0.32013166,0.32014358,0.32113072,0.32216045,0.32318556,0.32111117,0.3107009,0.2871387,0.25273007,0.21495338,0.18353075,0.16271706,0.15250142,0.15168983,0.16218741,0.19242722,0.24878784,0.33209458,0.42334405,0.4962286,0.5229513,0.49943373,0.4439485,0.39347827,0.37863073,0.40516123,0.45007226,0.47699687,0.4659882,0.42298123,0.37300703,0.33265546,0.3040608,0.28128317,0.27004027,0.28241244,0.32189307,0.36938617,0.39770475,0.3946962,0.37237802,0.35419473,0.3566415,0.38498354,0.4327974,0.48315474,0.5109653,0.49852073,0.45018685,0.39019728,0.34354845,0.31921554,0.31175968,0.312122,0.31596646,0.32204202,0.32870135,0.32997403,0.31871346,0.29023042,0.25028616,0.21093957,0.18484868,0.17444609,0.17501317,0.18109457,0.19375677,0.22168954,0.27111104,0.342978,0.4208424,0.48270974,0.5016045,0.4725531,0.41266835,0.36295632,0.35487178,0.38978985,0.4335103,0.4448668,0.40920475,0.34663844,0.29246017,0.26419973,0.25486374,0.24461524,0.22526783,0.20339073,0.1929635,0.19991732,0.21981932,0.24304251,0.26285493,0.28019014,0.30241755,0.33983397,0.3940529,0.45120606,0.48465732,0.47624043,0.43174133,0.37755522,0.33829227,0.32058606,0.31635523,0.31541044,0.31450912,0.31465694,0.31638142,0.31498,0.30235147,0.27181688,0.22530168,0.17377198,0.13193071,0.108816594,0.10467509,0.11282468,0.1272034,0.14841962,0.18568695,0.25021315,0.33807087,0.4221194,0.46024886,0.43102685,0.35303518,0.27847907,0.24949437,0.26956287,0.30298793,0.30965972,0.27472007,0.21569091,0.16265327,0.13499802,0.1319765,0.14018588,0.14847548,0.15714845,0.17725308,0.21696687,0.26930878,0.31050494,0.31900373,0.2964077,0.2713804,0.2786677,0.32792535,0.3949033,0.43802318,0.43460175,0.39417827,0.34786284,0.3189881,0.3112453,0.31445453,0.3195717,0.32417464,0.32913783,0.33142987,0.32350543,0.29809973,0.25704995,0.21176773,0.17653364,0.15834393,0.15428768,0.1580875,0.1678242,0.19048972,0.23418462,0.30180594,0.38205025,0.4549953,0.4959128,0.49024263,0.44250438,0.38161466,0.34622195,0.3576047,0.40253046,0.44125858,0.44188252,0.40297008,0.3504474,0.30843255,0.28161204,0.25849062,0.2315957,0.20607369,0.19487649,0.204574,0.23041852,0.26026127,0.28412703,0.30037424,0.31640866,0.3448384,0.39362237,0.4554595,0.50582576,0.51813984,0.48553196,0.42702553,0.37210694,0.3383347,0.32471207,0.32041577,0.317608,0.3148267,0.31381056,0.31209624,0.3031644,0.27930585,0.2412792,0.19698073,0.15796058,0.1296912,0.11283412,0.107015006,0.11683128,0.15102148,0.21540701,0.30708054,0.4091507,0.49696112,0.54430026,0.5398946,0.4945915,0.4407359,0.41068444,0.41443512,0.43374214,0.43997154,0.42022696,0.38462445,0.35257736,0.33170274,0.31532764,0.29685414,0.28591374,0.30004218,0.343766,0.39434907,0.4200866,0.40693963,0.37058187,0.3403596,0.33839175,0.37059522,0.42602292,0.48085395,0.505706,0.48429003,0.42541483,0.35748637,0.30653346,0.28043917,0.2716157,0.26938877,0.26954117,0.27288765,0.28082514,0.28956887,0.29221347,0.28158596,0.2581839,0.22794063,0.20051633,0.1805166,0.16954811,0.16655318,0.17494582,0.20105459,0.25124845,0.32422602,0.40539685,0.47020027,0.49231672,0.4640378,0.40358353,0.35152185,0.34072328,0.37410545,0.42000678,0.43995082,0.41738376,0.367818,0.31913853,0.28684673,0.26516274,0.23996122,0.20656313,0.17553996,0.16296971,0.1767296,0.20919098,0.2443903,0.26804635,0.2764044,0.27260625,0.2618132,0.24599831,0.22584252,0.20293778,0.18126304,0.16545671,0.15814498,0.15833168,0.16220164,0.16586475,0.1674425,0.16682696,0.16366798,0.15630834,0.1433345,0.12649423,0.11204184,0.107046776,0.11433184,0.12908614,0.14376163,0.15300703,0.15747975,0.15948002,0.16137315,0.16359465,0.16709705,0.17119814,0.1742559,0.1735853,0.17016052,0.16842593,0.1742488,0.18724865,0.20063736,0.20528328,0.20188439,0.19942217,0.20945884,0.22923307,0.24671157,0.24767826,0.23522413,0.22388738,0.2296883,0.25322953,0.28205228,0.30306926,0.31172824,0.31520233,0.3248388,0.35409358,0.40788105,0.47502923,0.5267698,0.5346016,0.49324837,0.42456147,0.36034608,0.3185029,0.29888383,0.2920401,0.29190776,0.29648817,0.30495265,0.31132796,0.30753174,0.28675613,0.25219,0.21362977,0.18259726,0.16272897,0.15134288,0.1462638,0.15158021,0.17816341,0.23165755,0.31020018,0.3974615,0.47295967,0.51090837,0.49806485,0.4416801,0.37662935,0.3436015,0.3595821,0.4048111,0.43801108,0.43348947,0.3959169,0.35207406,0.32022664,0.29982328,0.2782562,0.25115308,0.2262439,0.21547608,0.2218212,0.2374258,0.2513046,0.2576733,0.26041052,0.27014303,0.30044225,0.35632086,0.42536128,0.4780692,0.48791108,0.45257902,0.39561498,0.34663093,0.3199515,0.31262746,0.31453228,0.31912398,0.32402226,0.32812855,0.32696378,0.3147932,0.28751636,0.24962102,0.21032053,0.1789459,0.15710634,0.14215843,0.13368274,0.13818555,0.1681328,0.2311065,0.3247722,0.42871046,0.5133416,0.547309,0.52036345,0.451418,0.38578057,0.3648788,0.3980991,0.45532063,0.49185643,0.48344448,0.4395639,0.3881813,0.3479495,0.3207587,0.3025333,0.30001783,0.32241514,0.36645842,0.4069415,0.41826376,0.3949766,0.3564744,0.32855,0.32689014,0.3554782,0.40540218,0.45681253,0.481105,0.46191165,0.40715942,0.34521613,0.30106825,0.28144765,0.27794683,0.27977073,0.28264177,0.28727433,0.2948644,0.30104542,0.2972549,0.27545655,0.2377116,0.19489534,0.16056246,0.13995157,0.1317959,0.135077,0.15701135,0.20823367,0.2913954,0.3928517,0.48406968,0.5355241,0.52877635,0.47150877,0.3947966,0.34233543,0.339654,0.37786925,0.41713676,0.41996756,0.37868014,0.31811625,0.26906142,0.24324298,0.23034383,0.21656847,0.20014429,0.19131625,0.19896625,0.22207582,0.25035095,0.27333763,0.28618273,0.29302588,0.3050107,0.33505616,0.38495263,0.43852925,0.46817413,0.4581927,0.41695976,0.37027836,0.33822718,0.3246642,0.32111397,0.31950596,0.31695485,0.31412354,0.309322,0.29776633,0.27382636,0.23785971,0.19678502,0.16092071,0.13631694,0.12259817,0.11542953,0.11141289,0.11238632,0.12602001,0.16439772,0.23343612,0.3213353,0.3947793,0.41778687,0.37777567,0.29572752,0.20823534,0.14208658,0.10452086,0.09062659,0.09506372,0.11704087,0.16194367,0.23244166,0.3177124,0.38679525,0.40649453,0.36594227,0.2867238,0.2039886,0.14075078,0.09931771,0.07129543,0.05321255,0.05289423,0.08733734,0.16720007,0.2813002,0.39203575,0.45850816,0.4647125,0.42948487,0.3859781,0.35631147,0.34303233,0.33870855,0.33750832,0.33808348,0.34004307,0.33855712,0.32538795,0.29383656,0.24776536,0.19984458,0.16419701,0.14493352,0.13697703,0.13478468,0.14132558,0.16898759,0.22612219,0.31059745,0.40218487,0.47679186,0.50984496,0.49473402,0.44380036,0.3916637,0.37232125,0.39665747,0.4412972,0.4668913,0.45045248,0.40062806,0.3458681,0.30608615,0.28059688,0.25650305,0.22869252,0.20538212,0.19988887,0.21624611,0.24543858,0.2733233,0.2904483,0.29901186,0.30996564,0.33879948,0.3913966,0.45579788,0.50198734,0.50483066,0.46328983,0.402639,0.35172057,0.3236126,0.31364083,0.31175318,0.3122889,0.3139774,0.31519118,0.3102598,0.29224637,0.258237,0.21532337,0.17604814,0.15102027,0.14011385,0.13745789,0.13971095,0.15386413,0.19313116,0.26509306,0.36392155,0.46619287,0.5424798,0.56599957,0.5328198,0.46464178,0.4043593,0.38635597,0.41459152,0.4589732,0.4813746,0.46518517,0.42323872,0.3800501,0.34728256,0.3217932,0.29919037,0.29062352,0.30857837,0.3519156,0.39337456,0.40806428,0.3896779,0.3596933,0.3420417,0.35181156,0.38895702,0.44269124,0.49232498,0.5134201,0.49428108,0.44498408,0.3910853,0.35289833,0.33458066,0.32835355,0.32642066,0.3262988,0.3282427,0.32913092,0.3210372,0.2947528,0.24845518,0.1915067,0.14057516,0.10885804,0.0991321,0.10723653,0.12986396,0.17076702,0.2332352,0.3144399,0.39939192,0.46915126,0.5047483,0.49630606,0.4492806,0.3889781,0.35131112,0.35781482,0.3993915,0.44015846,0.44863924,0.41931653,0.3733038,0.3329966,0.3045214,0.2780371,0.24542345,0.21112473,0.18968086,0.19177455,0.21597648,0.24941023,0.2786536,0.29631773,0.30236465,0.2979088,0.2830861,0.25791958,0.22517689,0.18925439,0.15412438,0.12333111,0.10224103,0.09612586,0.10550626,0.12207938,0.13472897,0.13686629,0.13108143,0.12337857,0.11786767,0.11415231,0.110302545,0.105091505,0.099090226,0.09442777,0.09305333,0.09564557,0.0999636,0.103758134,0.10606673,0.10914394,0.11510989,0.12401947,0.13262248,0.13749893,0.13813,0.13901196,0.14529349,0.15813476,0.17150015,0.178993,0.18116803,0.1856701,0.19992833,0.2197066,0.23449741,0.2333951,0.22158869,0.21250968,0.22161351,0.24740577,0.27759382,0.29596114,0.297785,0.28942284,0.28658757,0.3069735,0.35913303,0.43178663,0.4927945,0.51221794,0.48405015,0.4319769,0.3858626,0.36108443,0.35323203,0.35086155,0.34676942,0.3411641,0.33862332,0.34174287,0.34844264,0.35144842,0.34561405,0.33069053,0.31213903,0.29408774,0.27815306,0.26604244,0.2642388,0.2839061,0.3302342,0.39874172,0.46990833,0.5222518,0.5353554,0.50653607,0.4513779,0.40380967,0.39313886,0.42357135,0.46953988,0.49553737,0.48589376,0.45199904,0.41947028,0.40254828,0.39798442,0.39171353,0.37506482,0.34847593,0.31903753,0.29206944,0.26912695,0.24830754,0.2283241,0.21247528,0.211583,0.24200971,0.31037077,0.40109262,0.4757534,0.5020097,0.47611776,0.42614257,0.38389155,0.3639655,0.3610833,0.36444256,0.36853328,0.3738184,0.3825903,0.39385733,0.4032668,0.40504834,0.39780366,0.3849149,0.37267354,0.3643507,0.36032525,0.36100224,0.3706801,0.39687708,0.44240117,0.5014088,0.55479217,0.5816794,0.56573725,0.5123971,0.44548282,0.40156344,0.4021648,0.44016135,0.48098865,0.49117577,0.46336034,0.41798326,0.38204202,0.3659478,0.36469164,0.37157845,0.39175287,0.43143368,0.4841615,0.5251744,0.53203815,0.5028436,0.45934156,0.42934337,0.42997202,0.46167743,0.5074397,0.54120606,0.5393383,0.49962083,0.4407115,0.38971046,0.36050272,0.3510994,0.35063788,0.35171047,0.3525745,0.35545412,0.36102644,0.36679658,0.3671488,0.35825932,0.34044275,0.31827155,0.29650012,0.27767938,0.26368174,0.25788763,0.2680249,0.30047145,0.35717416,0.42742285,0.49132204,0.5230685,0.50654984,0.4476607,0.3784702,0.34148252,0.35910046,0.4164983,0.4702735,0.4849833,0.4584749,0.418781,0.3943338,0.39168116,0.39703152,0.39470875,0.3797985,0.3575965,0.33420172,0.31147015,0.28682724,0.25804585,0.2281689,0.20941883,0.22196864,0.28017116,0.3755674,0.47157255,0.5262123,0.52264374,0.47946146,0.43083367,0.39882943,0.3853629,0.3807696,0.37711683,0.37183645,0.36734235,0.3660544,0.367757,0.3678356,0.36221763,0.35050094,0.3369403,0.32538256,0.31651583,0.3100126,0.30874124,0.3226234,0.36085907,0.4250284,0.4991281,0.55696094,0.5734517,0.5423871,0.48294935,0.42928615,0.4105977,0.42754468,0.4565741,0.46581686,0.44493985,0.4057382,0.3720537,0.35460737,0.35048175,0.3508459,0.35826823,0.3816187,0.42256507,0.4634707,0.47948226,0.4598074,0.41683495,0.37594953,0.35949412,0.3805476,0.436721,0.5057604,0.54933554,0.5381581,0.47492412,0.39242938,0.32595953,0.2894006,0.27557242,0.27139676,0.2708095,0.27528152,0.28874502,0.31110764,0.3368803,0.3574264,0.3678147,0.36870226,0.36490557,0.3592477,0.3520634,0.34452116,0.3428479,0.35833275,0.3974719,0.45749775,0.5188872,0.55762154,0.5503604,0.49649474,0.41823378,0.35746822,0.34461233,0.37841502,0.42461756,0.44427967,0.42486727,0.38478816,0.35365844,0.3446611,0.35008827,0.35260954,0.34265283,0.32147202,0.29623485,0.27156612,0.24780263,0.22307867,0.1984328,0.18188478,0.1894574,0.23761387,0.32704666,0.43134916,0.5069175,0.52287596,0.48336375,0.42039874,0.36597237,0.33213782,0.31367612,0.30221966,0.2952546,0.29562363,0.3053669,0.32132527,0.33509108,0.3389914,0.33196297,0.31970748,0.30933252,0.30399036,0.30405593,0.3113636,0.33300087,0.37746271,0.44696733,0.53083307,0.6058385,0.6468443,0.63802075,0.58609027,0.51660615,0.4637033,0.4453431,0.45680168,0.47511792,0.48290285,0.4763112,0.46371058,0.44954693,0.43191853,0.40822336,0.3864638,0.38251492,0.4033889,0.43636334,0.45439586,0.44256258,0.4082202,0.3764249,0.3676368,0.3904144,0.43904877,0.4962828,0.5371845,0.54065436,0.5058711,0.4517564,0.4038445,0.37505803,0.364305,0.36326396,0.36609924,0.37045753,0.37614346,0.38157526,0.38343644,0.37686566,0.35998428,0.33505568,0.30833772,0.28463015,0.26546782,0.25128645,0.24580206,0.2592124,0.2991858,0.36631534,0.44321665,0.5047136,0.5220322,0.48499438,0.40796134,0.33125535,0.29634833,0.31856003,0.3754903,0.42365825,0.4330779,0.40588376,0.36847612,0.34413365,0.33635703,0.33234242,0.31956264,0.29542458,0.26629514,0.23932429,0.21819691,0.20247887,0.1902932,0.18233496,0.18557006,0.21462788,0.27944508,0.37124392,0.45604086,0.49760365,0.4835161,0.43560794,0.3877901,0.36110485,0.35514107,0.35936248,0.36583233,0.37277126,0.3816211,0.39252773,0.4033743,0.41014966,0.41037884,0.40420654,0.39446667,0.38354623,0.3724885,0.3610766,0.34969747,0.33866456,0.327033,0.31127772,0.28764293,0.2555329,0.21961337,0.18744974,0.16485853,0.15311657,0.1496094,0.15074368,0.15368086,0.15682681,0.15937923,0.1609255,0.16085075,0.15797774,0.15113176,0.14016576,0.12624149,0.110789336,0.094521604,0.077735655,0.06141868,0.04737201,0.03717577,0.031505805,0.030967206,0.03749084,0.053344816,0.078430414,0.10775461,0.13375424,0.15058875,0.15782039,0.15869986,0.15694068,0.1539641,0.1498021,0.14420314,0.13796888,0.1322226,0.1284827,0.12743823,0.12927844,0.13282055,0.13661756,0.1389388,0.13906783,0.13690113,0.13302255,0.12772591,0.12128266,0.11410135,0.107495,0.10278114,0.100463115,0.09923697,0.09742733,0.094316445,0.0909865,0.08886456,0.088549934,0.08948418,0.091023535,0.0928214,0.094893925,0.096819796,0.09782613,0.09670963,0.09278184,0.08629703,0.07880187,0.07227871,0.06816992,0.06687633,0.06825528,0.07253348,0.08038589,0.09240668,0.108446635,0.12786676,0.14955764,0.17180099,0.19188048,0.207289,0.21684265,0.22145633,0.2226931,0.22174118,0.21864998,0.21318178,0.20529296,0.19547276,0.18436946,0.17278735,0.16172947,0.15248436,0.14586367,0.14163719,0.1383428,0.13455044,0.12984271,0.12507813,0.12152348,0.12031332,0.12293837,0.13078094,0.143912,0.1592368,0.17193656,0.1783462,0.17835897,0.17460473,0.16988252,0.1657434,0.16225219,0.15892713,0.15487109,0.14919181,0.14126088,0.13124196,0.120115034,0.10928202,0.09993887,0.09270766,0.08750439,0.08404473,0.08221432,0.08275833,0.086844645,0.095744796,0.10969606,0.12753302,0.14645547,0.16282499,0.17366838,0.17781913,0.1761192,0.1700644,0.16080786,0.1491883,0.1367188,0.12600951,0.11965105,0.11858144,0.121201836,0.12435937,0.12523279,0.12285588,0.11816573,0.113021664,0.10903492,0.1069689,0.10649213,0.106380165,0.105030455,0.10162441,0.096728414,0.09223193,0.089967065,0.090628885,0.09319535,0.09564278,0.0963912,0.095503114,0.09499386,0.09701848,0.10194897,0.10724485,0.10946125,0.10690403,0.10120702,0.095658004,0.092695564,0.09250774,0.093910456,0.095603436,0.09684798,0.09717268,0.09619292,0.0938921,0.091572195,0.09251379,0.10056976,0.11729893,0.13941205,0.16060121,0.17539829,0.18291195,0.18601678,0.18872994,0.19348061,0.20059983,0.20907106,0.21729012,0.223799,0.22738568,0.22728842,0.22304146,0.21458228,0.20248532,0.18801832,0.17287421,0.15862824,0.14645253,0.13711983,0.1310156,0.12786871,0.12639584,0.12408068,0.117916845,0.10604039,0.089806415,0.07435113,0.06576678,0.06688943,0.07465842,0.082980104,0.08721202,0.08711051,0.08548803,0.08552379,0.08908915,0.09587873,0.10396492,0.113448255,0.13074017,0.17032011,0.23955886,0.3253909,0.3893563,0.3992155,0.35693154,0.30666694,0.29761028,0.3440782,0.4155525,0.46429136,0.4663477,0.4314165,0.38879463,0.3582345,0.34336612,0.33656588,0.33164605,0.32617626,0.31998083,0.3101492,0.29103398,0.25674343,0.2084714,0.15516858,0.110060565,0.08133909,0.06944118,0.071521886,0.0880493,0.12737538,0.19455433,0.28645954,0.38137498,0.45451388,0.4821734,0.4609846,0.40515852,0.34784698,0.3211,0.33716056,0.37872133,0.4103819,0.40828967,0.37423322,0.33166346,0.29898706,0.2782396,0.25801829,0.23267333,0.20855574,0.19867326,0.20887427,0.23268282,0.25750175,0.2737807,0.28232634,0.29180405,0.31518376,0.35749337,0.40992463,0.4488819,0.45491305,0.42686868,0.38450727,0.3495464,0.3311784,0.3243589,0.3208017,0.316808,0.31333604,0.31159854,0.30900195,0.30017498,0.27984062,0.24924624,0.21507327,0.18669043,0.16779332,0.15716767,0.15347838,0.16272284,0.19817333,0.26752326,0.36428693,0.46239877,0.53324956,0.55578285,0.53120047,0.47867513,0.42914653,0.40640327,0.41164276,0.42396975,0.41699776,0.383647,0.33732238,0.29914838,0.27562264,0.2606826,0.24741952,0.24504878,0.26889327,0.3221499,0.38097712,0.4122223,0.4004121,0.36123142,0.32706058,0.32371888,0.36096966,0.42789277,0.49749985,0.5322396,0.51051897,0.440714,0.35854742,0.29677436,0.26694044,0.25953427,0.26043668,0.26187995,0.26301312,0.26518238,0.26568282,0.25868976,0.23825522,0.20665915,0.17210557,0.1451331,0.12900394,0.123075455,0.12649056,0.1454752,0.1885348,0.25881422,0.347394,0.4320456,0.4868592,0.4903601,0.44404426,0.373744,0.323373,0.3217213,0.3626683,0.4061801,0.4126556,0.37312266,0.31198752,0.26118755,0.23339228,0.22024082,0.20833053,0.19646877,0.19362678,0.20827727,0.23717053,0.26886466,0.29185548,0.30300352,0.30835617,0.31971213,0.34873816,0.39485958,0.44194743,0.46257147,0.4411994,0.3823522,0.30859375,0.2401381,0.1875589,0.15067105,0.12547438,0.10758871,0.09494326,0.08860264,0.09010228,0.09812636,0.107172124,0.111351185,0.10832492,0.10096251,0.09473029,0.09420559,0.10119409,0.11513978,0.13504757,0.1597191,0.18581462,0.20686026,0.2147444,0.20662282,0.18758845,0.16964506,0.162732,0.16789354,0.17749083,0.18186004,0.18040164,0.17926918,0.18703665,0.20145029,0.21451516,0.21644408,0.20905758,0.20199542,0.20754988,0.22854201,0.25734785,0.28181443,0.29427564,0.2967792,0.2996742,0.3174757,0.35983643,0.42018196,0.47310522,0.4878485,0.4532949,0.38688144,0.32058182,0.2756542,0.2530854,0.24209301,0.23391779,0.22704291,0.22417259,0.22508335,0.22457837,0.2142654,0.19198777,0.16404557,0.14274548,0.13535358,0.14053233,0.15256429,0.16961606,0.19971256,0.25085512,0.32530534,0.40609607,0.46929622,0.48832098,0.4576794,0.39377603,0.33495212,0.31537196,0.3426648,0.3906014,0.41805935,0.4033228,0.35606933,0.3065249,0.2742392,0.25812116,0.24361606,0.22429585,0.20711464,0.20463663,0.22081375,0.24695432,0.2700676,0.28202334,0.28614545,0.29372954,0.32020387,0.3715415,0.43635544,0.48549065,0.4945455,0.4623499,0.4126629,0.37183258,0.35066786,0.34372973,0.34128177,0.33863363,0.33539692,0.3317912,0.3241497,0.30709025,0.27622724,0.23496379,0.19188178,0.15722288,0.13441871,0.12237075,0.120512955,0.13550591,0.17910822,0.2562498,0.35823163,0.45874825,0.5296557,0.54851574,0.5164104,0.45432734,0.40010917,0.38104257,0.3979337,0.4220787,0.4213786,0.38645434,0.3346276,0.29124546,0.2652687,0.2513781,0.24304892,0.2508582,0.2873675,0.35053638,0.40972313,0.43255594,0.4085238,0.3597361,0.3182108,0.30635634,0.32948458,0.37701192,0.42574742,0.44617143,0.4222846,0.36315015,0.29709843,0.2486114,0.22415094,0.21577781,0.21340801,0.21271288,0.21382982,0.21744807,0.22083257,0.21804695,0.20338064,0.17697626,0.14591381,0.12075547,0.108910955,0.112715594,0.13225192,0.17053397,0.23361368,0.3216291,0.42131242,0.5031887,0.5382648,0.51141036,0.43813097,0.35473588,0.3051053,0.3092451,0.35367146,0.39681363,0.40339255,0.36746666,0.31356272,0.26969805,0.24559157,0.23128653,0.214806,0.19587581,0.1846519,0.18963683,0.20921521,0.23337758,0.2523254,0.2618641,0.26328272,0.25823414,0.24695246,0.22835694,0.20362557,0.17651026,0.15220146,0.13404888,0.12213511,0.11414551,0.10807142,0.104634605,0.10657839,0.115267776,0.12763162,0.13773648,0.14147662,0.13999663,0.13755362,0.13719608,0.13819857,0.13867193,0.13854632,0.13980913,0.14246379,0.14252304,0.13539152,0.1222826,0.1118068,0.113158755,0.12762064,0.14740299,0.163458,0.17331453,0.17993523,0.1844927,0.18317719,0.1728888,0.15918863,0.15330793,0.16393773,0.18694337,0.21200289,0.22846608,0.23709697,0.2427814,0.25121036,0.2585472,0.25868964,0.24745257,0.22950232,0.21463175,0.21522392,0.24286227,0.29986462,0.37091303,0.42244208,0.42486882,0.3743317,0.2975234,0.22912562,0.18874286,0.17443949,0.17331035,0.17641483,0.18566807,0.21292277,0.26499507,0.33072922,0.37877402,0.3809851,0.33471617,0.2666361,0.20983051,0.18110798,0.17621304,0.18097533,0.18673502,0.19604051,0.22152407,0.27005067,0.33158123,0.37627193,0.37821218,0.33478037,0.2712254,0.21808128,0.19097865,0.18574505,0.1889561,0.19305281,0.20191944,0.22950403,0.28094137,0.3414599,0.37610176,0.35989538,0.29735026,0.22297096,0.17162223,0.15748022,0.17129897,0.19489162,0.21701771,0.23938048,0.27406383,0.32576892,0.38095057,0.40923023,0.39086768,0.33298704,0.2667992,0.22020726,0.20207757,0.2033719,0.21103477,0.21912754,0.23145795,0.258409,0.30200648,0.34770608,0.36683345,0.3425108,0.28353873,0.22063456,0.17983599,0.16779868,0.17320251,0.1813503,0.18726443,0.19899704,0.23150446,0.28762895,0.34875572,0.38104644,0.36454043,0.30766812,0.24120294,0.19099467,0.16459323,0.15396148,0.1500988,0.152573,0.17029949,0.2131209,0.27645415,0.33540586,0.35590896,0.32250905,0.25095737,0.17744797,0.1304004,0.11608821,0.12326753,0.13866621,0.15885116,0.19070514,0.24317954,0.31131923,0.3722999,0.39634207,0.37154746,0.3115905,0.24526109,0.19426982,0.16580963,0.155759,0.15808216,0.17003775,0.19589442,0.2416087,0.30319002,0.35835716,0.3779303,0.34925425,0.28777078,0.2251966,0.18532652,0.17323191,0.17874433,0.19108544,0.20717521,0.23503435,0.2822043,0.34253475,0.39025173,0.39692673,0.35515448,0.28646725,0.22420508,0.18906063,0.18053508,0.18588185,0.194822,0.20760487,0.23362118,0.27996513,0.33835244,0.38293448,0.38746163,0.34732136,0.2838559,0.22718872,0.19380216,0.1815875,0.17833465,0.17495233,0.16890603,0.16284333,0.15864778,0.1558813,0.15130933,0.14346617,0.13370721,0.12644066,0.12389126,0.1246357,0.12444005,0.12194357,0.12033775,0.12506835,0.1383218,0.15676385,0.17335224,0.18155563,0.17846806,0.16655241,0.15221682,0.14351024,0.14486635,0.1552569,0.16798188,0.17615749,0.17617525,0.17003475,0.16155244,0.15378487,0.14671957,0.14035518,0.13490887,0.13121451,0.12817049,0.12563817,0.1255195,0.13203849,0.14604758,0.16362964,0.17730667,0.18158118,0.17444777,0.15759468,0.13413268,0.10765519,0.081170835,0.057095543,0.037305906,0.022943484,0.014214561,0.01162132,0.017997252,0.039715853,0.08150558,0.14110856,0.20561619,0.25992927,0.2945869,0.31145856,0.31765705,0.31995487,0.3208971,0.32043126,0.31756267,0.31105825,0.2995335,0.2814214,0.25641033,0.22636826,0.19606131,0.1706385,0.15326515,0.1432426,0.13818705,0.13632953,0.13781454,0.14276095,0.14946534,0.15455729,0.15523614,0.15114273,0.14408328,0.13637468,0.12946138,0.123613365,0.1186569,0.11431775,0.110568725,0.107397825,0.10515806,0.1043249,0.104922295,0.10561969,0.10404881,0.09845642,0.089348674,0.079384185,0.07152778,0.06699526,0.06483162,0.06294758,0.06008241,0.057546746,0.060168613,0.07517699,0.10779665,0.15645449,0.21118796,0.25900722,0.29095837,0.30630076,0.30969512,0.30678642,0.30095017,0.29417953,0.28758955,0.28143498,0.2731801,0.25875497,0.2354936,0.20612766,0.17721248,0.1549443,0.14049031,0.13153227,0.12552081,0.12240953,0.12250052,0.12524946,0.1299655,0.13944125,0.15828604,0.1889863,0.22658344,0.2622877,0.2884558,0.3039181,0.31141508,0.3144187,0.3145125,0.3119981,0.3068355,0.29793695,0.2828718,0.25833175,0.22358988,0.18247284,0.14287423,0.11209326,0.093140535,0.083863914,0.07988041,0.07745006,0.075239904,0.07531777,0.08361774,0.10828284,0.1529063,0.21120684,0.26721087,0.30627146,0.32343128,0.3253865,0.3216541,0.3184323,0.3164663,0.31435832,0.31012586,0.3018452,0.28715435,0.26481995,0.23582011,0.20451869,0.1761927,0.15507005,0.14198758,0.13577236,0.1339554,0.13433534,0.1350049,0.13520043,0.13521276,0.13568857,0.1368971,0.13828497,0.13935506,0.13959754,0.13880622,0.13653672,0.1326971,0.12807983,0.12440914,0.123541616,0.12589939,0.13056332,0.13550034,0.13883878,0.13884358,0.13501768,0.1280032,0.1194495,0.11013222,0.09981959,0.08797636,0.07551226,0.06513889,0.061317224,0.0697434,0.09518852,0.13756591,0.18896586,0.23654886,0.26982173,0.28660175,0.29209784,0.29353324,0.29530206,0.29814395,0.3005806,0.3005629,0.2958336,0.28413293,0.2639886,0.23646863,0.20577343,0.17756338,0.15600173,0.14197935,0.13427813,0.13096584,0.13099138,0.13360311,0.1393197,0.14957881,0.16669239,0.1914021,0.22112782,0.25039604,0.27320263,0.28668547,0.29123712,0.29008278,0.2860764,0.28167152,0.27798536,0.2757726,0.2737558,0.2681409,0.25352967,0.22680615,0.19149561,0.15709633,0.13499951,0.12970166,0.13682322,0.14429809,0.14299218,0.13174798,0.120308675,0.12227476,0.14762333,0.19550748,0.2533287,0.3043466,0.33670464,0.34973118,0.34953773,0.34317598,0.3338488,0.322602,0.30982316,0.29640785,0.2817131,0.26383808,0.24050619,0.21292281,0.18602741,0.16657926,0.15842025,0.16034901,0.16745806,0.17424458,0.1776263,0.17713244,0.1745991,0.1721615,0.17142844,0.17219631,0.1735745,0.17475295,0.17637582,0.17936324,0.184053,0.18927844,0.19352181,0.19602717,0.19728307,0.19835,0.19944145,0.1998908,0.19843657,0.19510716,0.19104809,0.18831377,0.18774676,0.18892525,0.19030029,0.1907379,0.18980527,0.1881973,0.1878864,0.19245307,0.20537639,0.22733553,0.25417012,0.27922833,0.29743254,0.30802915,0.31315672,0.3149893,0.31454194,0.31221354,0.30813906,0.3013048,0.28856093,0.26694867,0.23650433,0.20287164,0.1735661,0.15410602,0.14428805,0.14063758,0.13867216,0.13552715,0.13014773,0.124776475,0.12487135,0.1372682,0.16512729,0.20524223,0.24903496,0.2878059,0.31657124,0.33467796,0.34383115,0.3458631,0.34269452,0.336296,0.32876608,0.32049838,0.30871245,0.2896625,0.26224014,0.23244171,0.207597,0.19184309,0.18059136,0.16932942,0.15738554,0.15119298,0.15550661,0.17087615,0.19336617,0.22007082,0.24963832,0.27997616,0.30607322,0.32211462,0.32564405,0.31893918,0.3070424,0.2948674,0.2858157,0.28108206,0.27876607,0.274034,0.26132637,0.23829888,0.20778625,0.17667173,0.15168333,0.13638872,0.13022716,0.13054192,0.13435055,0.13990553,0.14624153,0.15278848,0.1580839,0.16041571,0.1582549,0.1521861,0.14429645,0.1377079,0.13454354,0.1357017,0.1405766,0.14768766,0.1554228,0.16266596,0.16905689,0.17400654,0.17665453,0.17621298,0.17353906,0.17074215,0.17011134,0.17212538,0.17549765,0.1783082,0.17970212,0.18003978,0.17940028,0.17604405,0.16691689,0.15036966,0.12846099,0.1061516,0.08883802,0.08000258,0.08154202,0.09323875,0.112828694,0.13514848,0.15444292,0.16626054,0.16923665,0.16447742,0.15453517,0.14251244,0.13101853,0.12176514,0.11531458,0.112045,0.11276364,0.11790242,0.12600823,0.13289048,0.13483195,0.13216676,0.13065927,0.13659494,0.15140848,0.17042434,0.18751578,0.2001888,0.20921986,0.21559836,0.21782069,0.21483974,0.20882864,0.2051209,0.20860825,0.2177378,0.22687139,0.22886688,0.22658865,0.22800393,0.24213941,0.2645278,0.28305686,0.28486243,0.26848423,0.24383931,0.22834007,0.24123307,0.29003432,0.36254647,0.4251083,0.44779375,0.4240158,0.3763156,0.33297917,0.3089132,0.30093905,0.2994205,0.2981081,0.29622254,0.29572678,0.29722574,0.299167,0.2982394,0.29341808,0.28620112,0.28010413,0.27654424,0.27493545,0.27505037,0.28070262,0.3012825,0.34380695,0.40632108,0.46955934,0.50789005,0.5005867,0.45029542,0.38145426,0.33035526,0.32129097,0.35169658,0.3935795,0.41475427,0.4023695,0.36852422,0.33575046,0.31731737,0.3114363,0.30890688,0.3036643,0.29487517,0.28350732,0.26812133,0.246367,0.21820028,0.18904676,0.16967626,0.17400281,0.21389873,0.28784254,0.3743975,0.4384574,0.45559075,0.4290849,0.38504836,0.3493303,0.33096978,0.32498515,0.3233848,0.32273653,0.32337198,0.3259846,0.32972023,0.33163443,0.32945883,0.32318774,0.31564188,0.3096421,0.30603263,0.30428526,0.305792,0.3162475,0.3441843,0.39309624,0.45579657,0.51164716,0.53829217,0.5218652,0.4700123,0.40632257,0.36031675,0.3469518,0.3596748,0.3755965,0.37517038,0.35622728,0.33235493,0.3182207,0.31750953,0.3254308,0.338524,0.3600467,0.3906761,0.4216739,0.43534398,0.42325327,0.39190236,0.3609902,0.34661698,0.3576307,0.3925852,0.43963394,0.47559974,0.47634587,0.4355428,0.37053975,0.31015432,0.27243897,0.2575222,0.25470224,0.25530753,0.2572261,0.26297203,0.27332258,0.28543463,0.29300794,0.29299402,0.2865545,0.27906248,0.27383432,0.2714835,0.2710322,0.2744585,0.28864977,0.32210684,0.37695268,0.44146466,0.49086764,0.50148207,0.46540558,0.40097404,0.34091458,0.31589794,0.3312757,0.36665425,0.3878977,0.37570807,0.33675942,0.29645073,0.2740495,0.27075168,0.2739489,0.27300152,0.2651938,0.2535549,0.23977631,0.22372751,0.20498066,0.18512662,0.16904826,0.16586523,0.18939102,0.2471412,0.32976973,0.4058908,0.44369543,0.43196473,0.3894581,0.34437063,0.31448385,0.29978603,0.29311585,0.29023865,0.29161426,0.2985753,0.3089832,0.3181646,0.3208914,0.31595597,0.30590227,0.29595795,0.2892771,0.28643027,0.2868569,0.2924987,0.3094511,0.3433397,0.39507428,0.45278206,0.49692598,0.50641185,0.47701252,0.4246883,0.38057134,0.3683246,0.3882787,0.4173604,0.4275634,0.40854418,0.372516,0.34131882,0.32669786,0.3264815,0.33419764,0.35044408,0.37794146,0.41214266,0.43644094,0.43690637,0.41323078,0.38124105,0.35862735,0.35691956,0.3786244,0.4179349,0.45783594,0.47455785,0.4523853,0.3985283,0.33815745,0.2957919,0.27838993,0.27826622,0.28448805,0.2919319,0.30060005,0.3103063,0.31870663,0.32158813,0.3175718,0.3085388,0.2989743,0.2915722,0.28652692,0.28281465,0.28189597,0.28924024,0.31284714,0.35654655,0.41437712,0.46715268,0.49254227,0.47626665,0.4263585,0.3679583,0.33216128,0.33348587,0.3628069,0.39228073,0.3981075,0.37672362,0.34484163,0.3217232,0.31378874,0.31396174,0.31269577,0.30618167,0.29588345,0.2832586,0.26758853,0.24778853,0.22475772,0.20247012,0.18796001,0.19074349,0.21865447,0.2685576,0.3238554,0.36109743,0.36924028,0.35415033,0.33372378,0.31967804,0.3145274,0.3133606,0.3133708,0.31453797,0.31903636,0.3264893,0.3340477,0.33685338,0.33301672,0.32396448,0.31422845,0.30680656,0.3022863,0.30024597,0.30265978,0.31614998,0.34674513,0.39461938,0.4465836,0.48251238,0.4844532,0.45126638,0.40007815,0.35792065,0.3457636,0.36438456,0.39544332,0.41251,0.40245518,0.37185368,0.3405908,0.3229244,0.32067826,0.3283302,0.34402958,0.3689419,0.3994176,0.42220095,0.42338476,0.40084347,0.36648992,0.3377211,0.32651135,0.3386129,0.37055525,0.4096943,0.43352976,0.42571393,0.38757434,0.339643,0.30367085,0.28883985,0.2899189,0.29678285,0.30382684,0.31313458,0.33284435,0.36697397,0.40772963,0.4351832,0.43381906,0.40569317,0.3694526,0.34336248,0.33248296,0.3306161,0.32982528,0.32855332,0.33162332,0.3472327,0.3779863,0.41480634,0.43820962,0.43340623,0.40279794,0.3642271,0.33537814,0.321479,0.31708845,0.31516108,0.31474578,0.321147,0.34172082,0.3768799,0.41479453,0.4351764,0.42483625,0.3887868,0.34636998,0.31534907,0.30050394,0.29613614,0.2945977,0.29247296,0.28922108,0.2843076,0.27482784,0.25739992,0.2310673,0.20031314,0.1728456,0.1554156,0.14939012,0.15150367,0.15688692,0.16236599,0.1669511,0.17093432,0.1747486,0.1786833,0.18287349,0.1875424,0.19279166,0.19864027,0.20481528,0.21090984,0.21623081,0.21988289,0.22098386,0.21920477,0.21511857,0.21016465,0.20613575,0.20465921,0.20671241,0.21236299,0.22062075,0.22961505,0.23738243,0.24266224,0.24533749,0.24592914,0.24504916,0.24320783,0.24101382,0.23936021,0.23898916,0.24008913,0.24169944,0.24212497,0.23964292,0.23394276,0.22655736,0.22040623,0.2179284,0.21914585,0.22038603,0.21491472,0.19625354,0.16261785,0.11954626,0.077269204,0.04487337,0.025515327,0.016636921,0.013489559,0.012417757,0.011740521,0.011048484,0.010377604,0.009828239,0.009394754,0.008980235,0.008459907,0.007831625,0.007188964,0.0066505694,0.006252658,0.005970486,0.005753041,0.0055828425,0.0054584593,0.00538242,0.0053193904,0.005212344,0.005007034,0.0046972386,0.0043308525,0.003977736,0.0036942156,0.0034982527,0.0034176388,0.0035448961,0.0040894286,0.005268438,0.0071494807,0.00949577,0.01189065,0.013950896,0.015555203,0.016786488,0.017809821,0.018723456,0.019572416,0.020355122,0.021057708,0.021795196,0.022983208,0.025454028,0.029833829,0.03597879,0.042521175,0.047862425,0.050934326,0.05183652,0.051110875,0.049397364,0.047188163,0.04511246,0.043802116,0.043599844,0.044353183,0.045519143,0.046548847,0.047080275,0.04707225,0.046641517,0.046058163,0.04553481,0.045227397,0.045078952,0.0449478,0.044606995,0.043992255,0.043264214,0.042940557,0.04351468,0.04516987,0.047466908,0.04972659,0.051358994,0.05219396,0.05232567,0.051925067,0.051071107,0.04975115,0.04799832,0.0459433,0.04381727,0.041797694,0.040021632,0.038570236,0.03754589,0.03701958,0.03702144,0.037464026,0.03806312,0.038365755,0.03804721,0.03732345,0.037205264,0.038917672,0.0430689,0.04875565,0.05413459,0.057362933,0.057899553,0.056279812,0.05361931,0.050639734,0.047722954,0.044955835,0.04256609,0.040737957,0.03963515,0.039157566,0.039172858,0.039524276,0.040218633,0.04127727,0.042747382,0.04462949,0.04697691,0.049885985,0.053462803,0.057701867,0.06241998,0.06724747,0.07171593,0.075386904,0.077997915,0.079534225,0.080187626,0.080244385,0.079945154,0.07942521,0.07868948,0.07763827,0.07610316,0.073886104,0.07086898,0.06709012,0.06280182,0.05835092,0.05404603,0.050058067,0.046501618,0.043528717,0.041357156,0.040155146,0.039987203,0.040836975,0.042696092,0.045459006,0.04886723,0.05249767,0.056094963,0.0596215,0.06329351,0.06718713,0.07130098,0.07544506,0.07961429,0.08383324,0.0882549,0.09277883,0.09716687,0.101043284,0.10417963,0.10652637,0.1081331,0.10910678,0.10946161,0.10931494,0.10878516,0.10807151,0.10704436,0.10522593,0.10193339,0.09668786,0.089342855,0.07980353,0.06818188,0.05518535,0.042662818,0.032995895,0.027782753,0.026704654,0.027765961,0.028987676,0.029878872,0.03159596,0.035298694,0.040717576,0.04621573,0.05057536,0.054383036,0.05942647,0.06692133,0.07633691,0.086369954,0.09628806,0.10659787,0.11839972,0.13163249,0.14439194,0.15254234,0.15310122,0.14585102,0.13474832,0.12395644,0.11592447,0.109998696,0.10524417,0.10126095,0.09839914,0.09607307,0.09309917,0.08877375,0.08417735,0.081787206,0.08368951,0.09009152,0.09877346,0.10660878,0.11099527,0.11130377,0.108852126,0.10645402,0.106814235,0.110932745,0.117857754,0.1259297,0.13435726,0.14272197,0.15001063,0.15425606,0.15396118,0.14928807,0.14207123,0.13464299,0.12863468,0.12462088,0.12271584,0.122536235,0.123183005,0.12290288,0.121201165,0.119190276,0.11931053,0.121829726,0.12505136,0.12607135,0.124010496,0.11974577,0.11566042,0.113497466,0.113583624,0.11449745,0.11454036,0.11311858,0.11105462,0.10968232,0.1099503,0.112240136,0.11645756,0.122279726,0.1289181,0.13539158,0.14040886,0.14345412,0.14463566,0.14484121,0.14403997,0.14128648,0.13536657,0.12714218,0.12021568,0.11886559,0.12489897,0.1357605,0.14677884,0.15378463,0.15554611,0.15289152,0.14797108,0.14230227,0.13645105,0.12962173,0.12116634,0.11173544,0.103957035,0.10106531,0.10454445,0.112602025,0.12108032,0.12637132,0.12798314,0.12814055,0.12965228,0.13328682,0.13805231,0.14209087,0.1443203,0.1443168,0.14251846,0.13991405,0.13765563,0.13591737,0.13336201,0.1280138,0.119058914,0.1077394,0.09683034,0.0889976,0.085934915,0.08768173,0.09334203,0.10115281,0.109892815,0.118647374,0.12740423,0.13577504,0.14311014,0.14799523,0.14928983,0.14689328,0.14258362,0.13925803,0.13922834,0.1425411,0.1473427,0.15123887,0.1529601,0.15222265,0.149449,0.14515698,0.14027484,0.13606183,0.13344137,0.13238092,0.13172974,0.13091019,0.13032104,0.13126856,0.1338193,0.1369301,0.13891514,0.13930385,0.13851832,0.13745767,0.13627064,0.1346743,0.13259691,0.13121478,0.13275562,0.13895874,0.14938211,0.1609888,0.17015404,0.17478734,0.17534555,0.1734327,0.17067601,0.16794437,0.16597657,0.16517003,0.16546483,0.16590117,0.16511375,0.16237138,0.15796886,0.15283273,0.14731663,0.14128463,0.13505119,0.1296273,0.12606828,0.123739846,0.121334225,0.11787138,0.114559114,0.113258906,0.11505372,0.118875764,0.122512124,0.12396342,0.12183005,0.11487603,0.1018307,0.08274126,0.06019595,0.03887788,0.023492863,0.016949201,0.020306226,0.032791834,0.05160721,0.07153361,0.08702234,0.094801426,0.095773935,0.09368098,0.09231767,0.09280803,0.09318506,0.09117865,0.0871315,0.08484606,0.088044934,0.098136485,0.113719486,0.13298509,0.15325116,0.17066868,0.18032844,0.17967196,0.17022355,0.15678443,0.14371486,0.13277158,0.12371629,0.11685339,0.11389788,0.11608222,0.12196622,0.12780438,0.13079156,0.13097636,0.13015802,0.12908383,0.12669976,0.12235313,0.1174332,0.1150944,0.11712947,0.122730225,0.12870991,0.13251269,0.13329028,0.13225788,0.13059407,0.12930706,0.12862991,0.1289481,0.12978044,0.13040316]