QUAST

Quality Assessment Tool for Genome Assemblies by CAB

{"date":"27 May 2019, Monday, 15:21:14","assembliesNames":["extra_ERR1806394.25","extra_SRR2174313.4","extra_SRR2174314.14","extra_SRR2174315.7","extra_SRR2174317.1","extra_SRR2174320.38","extra_SRR2174321.10","extra_SRR5580761.114","extra_SRR5580762.42","extra_SRR5580763.92","extra_SRR5925326.20","extra_SRR5927679.39","extra_SRR5927681.71","extra_SRR5927682.28","extra_SRR5927686.74","extra_SRR5927689.35","extra_SRR5927690.6","extra_SRR5927696.30","extra_SRR5927698.79","extra_SRR5927701.10","extra_SRR5927702.80","extra_SRR5927704.2","extra_SRR5927705.1","extra_SRR5927707.30","extra_SRR5927708.48","extra_SRR5927709.41","extra_SRR5927712.38","extra_SRR5927714.26","extra_SRR5927715.35","extra_SRR5927718.58","extra_SRR6032568.47","extra_SRR6032569.13","extra_SRR6032570.31","extra_SRR6032571.9","extra_SRR6032572.43","extra_SRR6032575.4","extra_SRR6032579.13","extra_SRR6032581.14","extra_SRR6032583.10","extra_SRR6032588.12","extra_SRR6032598.1","extra_SRR6945401.17","iMGMC_978","single_China_S_Fe11_120417.17","single_China_S_Fe12_120417.16","single_China_S_Fe13_120417.57","single_China_S_Fe14_120416.68","single_China_S_Fe16_120417.26","single_China_S_Fe20_120416.35","single_wildmice_C1220.78","single_wildmice_C1224.60","single_wildmice_C1226.64","single_wildmice_C1231.76","single_wildmice_C1239.77","single_wildmice_C1243.78"],"referenceName":"GCF_000007905.1_ASM790v1_genomic","order":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54],"report":[["Genome statistics",[{"metricName":"Genome fraction (%)","quality":"More is better","values":["64.741","87.708","88.144","50.949","94.860","69.584","94.623","84.038","95.603","95.777","63.810","72.904","48.030","75.658","79.980","70.263","67.431","85.767","86.010","47.858","76.895","46.052","43.256","66.883","54.347","76.071","47.763","85.278","86.950","54.678","81.548","61.265","80.624","79.440","59.755","81.514","81.655","89.287","70.433","87.426","78.561","54.110","79.328","45.548","77.777","60.556","66.027","96.169","98.945","85.504","79.588","73.612","88.375","87.002","85.206"],"isMain":true},{"metricName":"Duplication ratio","quality":"Less is better","values":["1.010","1.004","1.003","1.004","1.004","1.004","1.001","1.000","1.002","1.001","1.007","1.014","1.009","1.003","1.004","1.004","1.008","1.001","1.002","1.010","1.005","1.012","1.011","1.003","1.005","1.004","1.004","1.004","1.005","1.007","1.004","1.006","1.004","1.005","1.004","1.005","1.005","1.004","1.007","1.005","1.005","1.016","1.005","1.002","1.000","1.002","1.001","1.000","1.001","1.003","1.005","1.007","1.002","1.003","1.003"],"isMain":true},{"metricName":"# genomic features","quality":"More is better","values":["882 + 480 part","1495 + 357 part","1515 + 347 part","696 + 454 part","1798 + 194 part","1024 + 487 part","1904 + 60 part","1714 + 29 part","1926 + 33 part","1946 + 27 part","934 + 457 part","1106 + 430 part","692 + 346 part","1439 + 107 part","1506 + 125 part","1281 + 148 part","1081 + 291 part","1666 + 70 part","1674 + 76 part","639 + 402 part","1430 + 158 part","568 + 473 part","627 + 317 part","1278 + 99 part","1021 + 115 part","1396 + 149 part","915 + 117 part","1621 + 114 part","1619 + 145 part","875 + 278 part","1365 + 302 part","814 + 490 part","1324 + 302 part","1306 + 320 part","745 + 547 part","1311 + 358 part","1417 + 266 part","1736 + 95 part","1038 + 430 part","1611 + 164 part","1248 + 354 part","773 + 388 part","1476 + 205 part","539 + 512 part","1592 + 27 part","847 + 508 part","950 + 531 part","1817 + 159 part","2023 + 25 part","1594 + 148 part","1308 + 315 part","1071 + 467 part","1718 + 91 part","1661 + 106 part","1669 + 86 part"],"isMain":true},{"metricName":"Largest alignment","quality":"More is better","values":[12134,21384,31396,10105,58663,15727,65493,163882,142061,163883,12742,17234,13680,89883,99232,65417,25527,265404,160587,10601,59311,9201,17365,82726,47130,43268,47764,117821,60331,18918,35744,11135,28650,29232,10797,20454,30586,72150,21163,55472,21285,12110,57258,8911,178166,10108,12322,76340,270436,89172,27853,27479,224363,125447,187321],"isMain":true},{"metricName":"Total aligned length","quality":"More is better","values":[1164954,1579888,1587246,917207,1709070,1253153,1703154,1511978,1720982,1723243,1149073,1316053,865307,1362705,1441254,1266500,1215466,1544627,1548733,861748,1384802,829580,779792,1204675,980670,1369885,860825,1536248,1568609,985204,1466614,1101082,1449885,1429354,1073375,1466140,1469362,1607088,1266337,1574488,1413044,976023,1432548,819409,1399430,1089104,1187756,1730768,1780572,1538398,1432468,1324345,1590205,1565445,1533727],"isMain":true},{"metricName":"NG50","quality":"More is better","values":[2669,5645,5396,1578,10846,2501,30909,83979,86370,89522,2243,3991,1678,31743,29501,13651,5074,131829,113693,null,16418,null,null,20338,6616,15628,4364,42576,24188,2782,7173,2349,6651,6131,2187,6337,7936,35967,3456,18151,5662,1751,10057,null,92382,2000,2322,17348,138615,23460,6592,3651,136373,55534,130739],"isMain":false},{"metricName":"NG75","quality":"More is better","values":[null,3068,2780,null,5889,null,19117,24154,46344,36271,null,2029,null,8506,12067,3090,null,54264,49284,null,5667,null,null,null,null,4650,null,13652,12616,null,3364,null,3190,3118,null,3168,4314,17422,1628,11105,2684,null,2873,null,13776,null,null,8895,92969,11240,2874,1929,50096,24642,46586],"isMain":false},{"metricName":"NA50","quality":"More is better","values":[3255,6090,6006,2645,11066,3389,33484,91117,86370,97870,3528,4174,3987,31928,25326,16617,7318,59842,59840,3764,20338,2409,3691,31385,16864,17337,18153,34277,19818,5912,7147,3066,6800,6432,3120,6428,6738,31446,4401,13454,5973,2908,13526,2520,119694,3017,3255,17390,135427,24266,7795,4099,74136,40789,74137],"isMain":false},{"metricName":"NA75","quality":"More is better","values":[2178,4048,3574,1962,6515,2350,20586,60158,49129,49328,2304,2606,2371,16127,8080,5516,3815,34633,27472,2348,8913,1794,2102,13509,8886,10365,8766,18456,9112,3678,3765,2140,3499,3399,2011,3351,3361,12729,2357,3754,3364,2017,7262,1955,72831,2170,2317,9501,79930,11629,3976,2388,32948,18567,36042],"isMain":false},{"metricName":"NGA50","quality":"More is better","values":[2322,5626,5377,1564,10772,2474,30909,83972,83457,89522,2215,3347,null,22149,20360,9634,4310,51196,52877,null,15357,null,null,17136,4946,14253,null,31928,17338,2174,6552,2122,5802,5551,1904,5663,6526,31446,2945,14444,5132,1638,10023,null,92382,1967,2309,17348,135427,20457,5795,3194,59825,39440,59835],"isMain":true},{"metricName":"NGA75","quality":"More is better","values":[null,2850,2754,null,5659,null,19096,24154,46344,36222,null,null,null,1895,4043,null,null,24643,19391,null,2370,null,null,null,null,1795,null,10059,7272,null,2373,null,2126,2056,null,2333,2591,11806,null,5798,1926,null,2745,null,13776,null,null,8895,79930,7828,2308,null,26052,15104,24643],"isMain":false},{"metricName":"LG50","quality":"Less is better","values":[209,99,102,347,53,213,20,8,8,8,221,132,223,16,19,33,92,6,7,null,29,null,null,18,52,33,54,14,24,145,73,224,76,82,231,91,68,17,152,30,95,287,44,null,7,257,227,32,5,21,76,147,5,11,5],"isMain":false},{"metricName":"LG75","quality":"Less is better","values":[null,204,218,null,110,null,39,17,16,15,null,286,null,41,43,107,null,11,11,null,73,null,null,null,null,84,null,31,51,null,161,null,172,184,null,189,146,36,344,61,208,null,121,null,17,null,null,71,9,48,180,317,9,23,10],"isMain":false},{"metricName":"LA50","quality":"Less is better","values":[133,82,84,129,49,123,18,7,8,7,108,106,80,15,20,27,54,7,8,83,23,123,64,13,21,26,19,15,25,60,65,122,64,71,117,82,71,19,104,37,80,118,29,114,5,115,118,31,5,19,59,109,6,12,7],"isMain":false},{"metricName":"LA75","quality":"Less is better","values":[251,160,170,231,100,234,35,12,15,14,211,214,155,30,47,67,115,16,18,161,50,230,136,29,43,51,37,30,56,113,139,236,143,151,232,164,159,43,213,101,164,224,66,208,9,222,226,65,10,43,129,226,15,29,14],"isMain":false},{"metricName":"LGA50","quality":"Less is better","values":[231,100,102,350,53,216,20,8,9,8,225,154,null,21,23,40,100,9,9,null,31,null,null,24,62,37,null,17,28,158,81,242,83,93,250,100,78,19,165,33,105,299,45,null,7,260,228,32,5,23,81,156,7,13,8],"isMain":true},{"metricName":"LGA75","quality":"Less is better","values":[null,207,219,null,111,null,39,17,16,15,null,null,null,65,66,null,null,20,22,null,95,null,null,null,null,105,null,39,64,null,193,null,206,221,null,222,181,45,null,81,245,null,123,null,17,null,null,71,10,57,201,null,17,32,18],"isMain":false}]],["Reads mapping",[]],["Misassemblies",[{"metricName":"# misassemblies","quality":"Less is better","values":[8,3,1,0,2,1,1,0,0,0,2,18,10,17,17,9,9,20,19,7,13,6,7,12,8,10,16,17,18,6,13,11,16,13,13,16,13,14,13,15,12,1,0,1,0,3,1,2,3,14,9,5,25,15,19],"isMain":true},{"metricName":" # relocations","quality":"Less is better","values":[8,3,1,0,2,1,1,0,0,0,2,18,10,17,17,9,9,20,18,6,13,6,4,12,8,10,16,17,18,6,13,11,16,13,13,16,13,14,13,15,12,1,0,1,0,3,1,2,3,14,9,5,25,15,19],"isMain":false},{"metricName":" # translocations","quality":"Less is better","values":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"isMain":false},{"metricName":" # inversions","quality":"Less is better","values":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"isMain":false},{"metricName":"# misassembled contigs","quality":"Less is better","values":[8,3,1,0,2,1,1,0,0,0,2,15,8,11,12,8,9,10,7,6,11,5,7,8,8,9,11,13,15,6,13,11,15,13,13,14,11,12,13,12,12,1,0,1,0,3,1,2,2,12,7,5,13,10,8],"isMain":false},{"metricName":"Misassembled contigs length","quality":"Less is better","values":[43085,23019,2286,0,12071,5705,20247,0,0,0,20092,100682,39943,489728,402849,247939,86442,852910,779042,30432,208982,12456,34872,424214,164491,178881,178918,553644,309086,50251,124272,54524,109268,108031,38587,131899,99021,448280,60043,181921,94829,1998,0,4155,0,7701,2927,21521,348771,319486,58818,15498,1284356,639446,984011],"isMain":true},{"metricName":"# local misassemblies","quality":"Less is better","values":[15,1,0,0,2,2,2,0,1,0,2,27,14,35,31,21,20,43,42,16,27,8,6,25,25,30,34,37,39,17,41,57,41,33,69,42,30,35,44,35,29,0,4,0,3,2,0,1,5,40,31,26,48,44,42],"isMain":false},{"metricName":"# scaffold gap ext. mis.","quality":"Less is better","values":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"isMain":false},{"metricName":"# scaffold gap loc. mis.","quality":"Less is better","values":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"isMain":false},{"metricName":"# unaligned mis. contigs","quality":"Less is better","values":[2,0,0,1,0,0,0,0,0,0,0,1,4,1,4,1,1,0,2,2,3,5,1,5,0,2,0,2,5,0,2,3,2,3,2,3,4,1,2,8,2,0,0,0,0,0,1,0,0,2,2,2,1,0,3],"isMain":false}]],["Unaligned",[{"metricName":"# fully unaligned contigs","quality":"Less is better","values":[17,1,0,0,0,0,0,0,0,0,0,10,11,2,10,33,8,2,3,3,6,13,7,6,4,4,3,2,3,3,11,16,14,9,16,13,36,5,20,31,9,10,0,0,0,0,1,0,0,4,10,29,2,7,1],"isMain":false},{"metricName":"Fully unaligned length","quality":"Less is better","values":[52764,2720,0,0,0,0,0,0,0,0,0,37484,33790,16944,102612,117207,16805,4456,18897,5980,34266,33886,13618,14803,18840,16377,11026,10355,19231,7360,52075,49692,68881,54455,47639,60825,161686,40970,66866,187483,50010,27229,0,0,0,0,1659,0,0,9740,25672,82783,9599,77997,2122],"isMain":false},{"metricName":"# partially unaligned contigs","quality":"Less is better","values":[21,2,1,2,1,1,1,0,0,0,2,29,18,21,27,30,20,17,18,12,24,20,8,22,20,22,20,31,37,16,24,16,26,19,16,26,33,30,16,36,24,2,4,0,1,5,1,3,2,26,25,28,19,26,17],"isMain":false},{"metricName":"Partially unaligned length","quality":"Less is better","values":[31496,2120,1545,1839,2234,1511,1478,0,0,0,1918,69571,34766,65065,99455,71542,43011,111018,95658,15138,68353,26562,13142,88241,39667,43172,60353,73926,119436,23708,55458,24377,41359,48175,25050,48197,72177,112808,28455,152771,50662,2535,5638,0,711,4598,2425,5139,4165,66349,43422,39537,97591,86176,96824],"isMain":false}]],["Mismatches",[{"metricName":"# mismatches","quality":"Less is better","values":[8675,199,176,93,202,183,115,56,99,114,469,9950,6737,10698,11072,9031,8387,12159,12083,6538,10407,6326,5184,9052,7074,9994,7173,11701,12287,7135,11435,8415,11335,11140,8528,11433,11526,12945,9930,12568,11081,186,5581,225,80,331,331,248,319,13411,11900,11115,14579,13730,13646],"isMain":false},{"metricName":"# indels","quality":"Less is better","values":[340,47,53,13,59,34,61,32,35,48,32,431,316,523,515,386,352,566,590,278,483,267,211,422,318,453,346,552,581,318,547,390,501,502,406,512,480,625,448,595,490,12,225,78,37,104,99,89,73,671,513,518,742,696,716],"isMain":false},{"metricName":"Indels length","quality":"Less is better","values":[1461,102,157,28,217,96,147,121,149,257,71,1185,1115,1833,1862,1171,1020,1906,2068,773,1749,1087,751,1228,1238,1774,1233,1982,2092,1218,2818,2424,2330,2394,3656,2709,2197,2067,2960,2390,2532,58,685,539,74,715,526,416,178,2217,1692,2530,2189,2093,2128],"isMain":false},{"metricName":"# mismatches per 100 kbp","quality":"Less is better","values":["744.77","12.61","11.10","10.15","11.84","14.62","6.76","3.70","5.76","6.62","40.85","758.58","779.63","785.93","769.44","714.41","691.33","787.97","780.84","759.32","752.25","763.51","666.12","752.25","723.47","730.22","834.73","762.64","785.43","725.30","779.40","763.44","781.43","779.43","793.24","779.58","784.56","805.84","783.62","799.02","783.98","19.11","391.04","27.46","5.72","30.38","27.86","14.33","17.92","871.79","831.06","839.26","916.92","877.15","890.16"],"isMain":true},{"metricName":"# indels per 100 kbp","quality":"Less is better","values":["29.19","2.98","3.34","1.42","3.46","2.72","3.58","2.12","2.03","2.79","2.79","32.86","36.57","38.42","35.79","30.53","29.01","36.68","38.13","32.29","34.91","32.23","27.11","35.07","32.52","33.10","40.26","35.98","37.14","32.33","37.28","35.38","34.54","35.12","37.76","34.91","32.67","38.91","35.35","37.83","34.67","1.23","15.76","9.52","2.64","9.55","8.33","5.14","4.10","43.62","35.83","39.11","46.67","44.46","46.71"],"isMain":true},{"metricName":" # indels (<= 5 bp)","quality":"Less is better","values":[281,44,50,12,51,32,56,30,32,43,29,386,282,461,452,342,316,499,519,254,423,229,185,375,276,391,304,483,510,282,451,307,412,415,297,418,403,550,353,509,400,9,196,48,36,63,64,75,67,586,449,420,658,614,634],"isMain":false},{"metricName":" # indels (> 5 bp)","quality":"Less is better","values":[59,3,3,1,8,2,5,2,3,5,3,45,34,62,63,44,36,67,71,24,60,38,26,47,42,62,42,69,71,36,96,83,89,87,109,94,77,75,95,86,90,3,29,30,1,41,35,14,6,85,64,98,84,82,82],"isMain":false},{"metricName":"# N's","quality":"Less is better","values":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"isMain":false},{"metricName":"# N's per 100 kbp","quality":"Less is better","values":["0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00","0.00"],"isMain":true}]],["Statistics without reference",[{"metricName":"# contigs","quality":"Equal","values":[391,315,333,361,219,397,88,29,38,34,361,337,248,61,97,156,230,24,32,266,116,343,240,64,91,114,66,82,109,204,261,373,271,270,370,290,282,86,358,185,290,360,168,326,21,369,385,153,23,102,253,380,32,69,31],"isMain":true},{"metricName":"# contigs (>= 0 bp)","quality":"Equal","values":[391,315,333,361,219,397,88,29,38,34,361,337,248,61,97,156,230,24,32,266,116,343,240,64,91,114,66,82,109,204,261,373,271,270,370,290,282,86,358,185,290,360,168,326,21,369,385,153,23,102,253,380,32,69,31],"isMain":false},{"metricName":"# contigs (>= 1000 bp)","quality":"Equal","values":[391,315,333,361,219,397,88,29,38,34,361,337,248,61,97,156,230,24,32,266,116,343,240,64,91,114,66,82,109,204,261,373,271,270,370,290,282,86,358,185,290,360,168,326,21,369,385,153,23,102,253,380,32,69,31],"isMain":false},{"metricName":"# contigs (>= 5000 bp)","quality":"Equal","values":[47,125,113,7,125,45,68,26,34,33,54,86,52,51,71,77,95,22,26,42,79,19,37,49,62,81,51,53,91,83,116,48,111,115,45,124,121,68,84,105,114,31,87,13,21,34,42,106,21,68,104,87,26,47,25],"isMain":false},{"metricName":"# contigs (>= 10000 bp)","quality":"Equal","values":[3,29,24,1,57,2,50,24,31,29,2,17,5,35,51,39,36,20,22,2,51,0,10,39,38,52,38,36,56,14,38,3,41,37,4,31,48,54,11,64,27,1,45,0,19,1,2,60,20,52,43,11,22,41,20],"isMain":false},{"metricName":"# contigs (>= 25000 bp)","quality":"Equal","values":[0,0,2,0,6,0,25,14,19,19,0,0,0,19,24,13,1,17,15,0,18,0,0,15,9,16,10,22,22,0,1,0,2,1,0,0,3,21,0,16,0,0,8,0,12,0,0,14,14,18,1,1,12,22,13],"isMain":false},{"metricName":"# contigs (>= 50000 bp)","quality":"Equal","values":[0,0,0,0,1,0,8,13,14,13,0,0,0,8,5,2,0,12,10,0,2,0,0,7,0,0,0,10,2,0,0,0,0,0,0,0,0,7,0,2,0,0,2,0,10,0,0,1,12,7,0,0,9,12,8],"isMain":false},{"metricName":"Largest contig","quality":"More is better","values":[13033,21384,31396,10105,58671,15759,65535,163882,142126,163883,13445,20314,13680,152233,106042,68465,26354,271388,190316,10614,62302,9224,17440,85569,49275,44891,47768,156203,60678,18918,35744,12767,30106,30149,10799,20465,30634,89712,21163,55498,21285,12110,57258,8911,178357,10108,12322,76340,270436,91261,28771,27479,274198,134741,275228],"isMain":true},{"metricName":"Total length","quality":"More is better","values":[1261058,1588491,1592818,921709,1715565,1258814,1705468,1512524,1722771,1724130,1157828,1437591,940345,1447341,1646468,1457995,1282599,1660649,1664649,890881,1492630,898733,813653,1309980,1041628,1433407,933791,1624559,1710463,1021765,1580418,1182854,1566691,1539584,1151626,1583242,1710906,1766800,1371128,1921705,1520996,1018882,1440542,820810,1400332,1095894,1192895,1735981,1785500,1619628,1507544,1455694,1700473,1734133,1635935],"isMain":true},{"metricName":"Total length (>= 0 bp)","quality":"More is better","values":[1261058,1588491,1592818,921709,1715565,1258814,1705468,1512524,1722771,1724130,1157828,1437591,940345,1447341,1646468,1457995,1282599,1660649,1664649,890881,1492630,898733,813653,1309980,1041628,1433407,933791,1624559,1710463,1021765,1580418,1182854,1566691,1539584,1151626,1583242,1710906,1766800,1371128,1921705,1520996,1018882,1440542,820810,1400332,1095894,1192895,1735981,1785500,1619628,1507544,1455694,1700473,1734133,1635935],"isMain":false},{"metricName":"Total length (>= 1000 bp)","quality":"More is better","values":[1261058,1588491,1592818,921709,1715565,1258814,1705468,1512524,1722771,1724130,1157828,1437591,940345,1447341,1646468,1457995,1282599,1660649,1664649,890881,1492630,898733,813653,1309980,1041628,1433407,933791,1624559,1710463,1021765,1580418,1182854,1566691,1539584,1151626,1583242,1710906,1766800,1371128,1921705,1520996,1018882,1440542,820810,1400332,1095894,1192895,1735981,1785500,1619628,1507544,1455694,1700473,1734133,1635935],"isMain":true},{"metricName":"Total length (>= 5000 bp)","quality":"More is better","values":[320325,1038654,958333,45160,1433815,316608,1646036,1504225,1712202,1722407,363865,698421,377157,1423555,1571297,1235001,914761,1656193,1648662,281067,1384413,119772,300978,1274185,960742,1338909,887723,1537874,1664304,659566,1168166,328626,1104579,1083587,305945,1089397,1236361,1706004,615075,1690683,1002245,197408,1219852,78820,1400332,230707,292409,1590330,1781387,1520134,1063069,647541,1679750,1676272,1616039],"isMain":false},{"metricName":"Total length (>= 10000 bp)","quality":"More is better","values":[35758,389196,338542,10105,945047,27229,1520587,1491518,1692620,1691193,24475,219685,60296,1299179,1437949,976172,515406,1644302,1617385,20864,1189421,0,118615,1208244,787316,1146620,792393,1420952,1410259,189115,607146,34277,626594,550132,42541,430348,730921,1599447,142665,1387217,380387,12110,910030,0,1385572,10108,22806,1254716,1775762,1400472,633032,142405,1653836,1638201,1579300],"isMain":true},{"metricName":"Total length (>= 25000 bp)","quality":"More is better","values":[0,0,61308,0,206463,0,1061923,1294970,1466378,1500943,0,0,0,1014530,1038868,527900,26354,1595223,1511142,0,686914,0,0,841950,311442,568076,325353,1176581,866462,0,35744,0,57429,30149,0,0,86526,1050341,0,609769,0,0,338281,0,1252372,0,0,536926,1678161,845015,28771,27479,1500895,1340256,1471007],"isMain":false},{"metricName":"Total length (>= 50000 bp)","quality":"More is better","values":[0,0,0,0,58671,0,454021,1248882,1280685,1291171,0,0,0,603189,340191,133882,0,1423816,1301567,0,117010,0,0,512789,0,0,0,729998,115599,0,0,0,0,0,0,0,0,481841,0,108438,0,0,111669,0,1162067,0,0,76340,1603709,433993,0,0,1377002,991757,1262613],"isMain":true},{"metricName":"N50","quality":"More is better","values":[3572,6217,6006,2653,11066,3452,33484,91117,86370,97930,3598,4850,4474,44445,31305,18294,7901,135339,126479,3838,21276,2649,3898,45618,17428,20338,19668,45620,25821,6106,8229,3348,7770,7459,3496,6997,8156,39986,4659,17366,6872,2984,13526,2523,119694,3019,3270,17390,138615,31487,8669,4447,175970,56488,136373],"isMain":false},{"metricName":"N75","quality":"More is better","values":[2472,4096,3606,1997,6613,2410,20586,60158,49295,49328,2363,3160,2985,22928,15872,7152,4513,74231,98338,2521,11421,2041,2337,17450,10230,13012,13666,24643,13736,4215,4804,2375,4510,4388,2289,4378,4623,17644,2852,9201,4038,2141,7262,1983,73542,2210,2336,9501,92969,14974,4504,2795,72307,26408,77553],"isMain":false},{"metricName":"L50","quality":"Less is better","values":[122,82,84,128,49,121,18,7,8,7,106,91,72,11,17,23,51,5,6,80,21,116,61,10,19,23,17,12,22,57,59,115,60,63,111,75,63,16,99,33,73,115,29,113,5,115,118,31,5,17,56,105,4,10,4],"isMain":false},{"metricName":"L75","quality":"Less is better","values":[228,159,169,230,100,231,35,12,15,14,207,181,137,22,35,54,105,9,10,153,45,214,128,23,38,46,30,24,46,107,120,219,126,131,215,145,131,35,193,70,146,217,66,206,9,220,225,65,9,37,119,207,8,21,8],"isMain":false},{"metricName":"GC (%)","quality":"Equal","values":["37.02","36.31","36.28","36.97","36.11","36.61","35.95","35.94","35.92","36.02","35.89","35.90","36.42","36.12","35.91","35.79","36.04","36.02","35.96","36.52","35.97","36.20","36.00","35.79","36.21","35.93","36.29","36.02","35.97","36.36","36.21","36.39","36.27","36.27","36.53","36.24","35.94","35.97","36.49","35.65","36.36","37.23","35.91","36.42","36.00","36.37","36.49","36.00","35.96","35.99","36.09","35.82","36.02","35.65","35.93"],"isMain":false}]],["K-mer-based statistics",[]],["Predicted genes",[]],["Similarity statistics",[{"metricName":"# similar correct contigs","quality":"Equal","values":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"isMain":false},{"metricName":"# similar misassembled blocks","quality":"Equal","values":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"isMain":false}]],["Reference statistics",[{"metricName":"Reference length","quality":"Equal","values":[1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146,1799146],"isMain":false},{"metricName":"Reference fragments","quality":"Equal","values":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"isMain":false},{"metricName":"Reference GC (%)","quality":"Equal","values":["35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93","35.93"],"isMain":false},{"metricName":"Reference genomic features","quality":"Equal","values":[2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059,2059],"isMain":false}]]],"subreferences":[],"subreports":[],"minContig":500}
{{ qualities }}
{{ mainMetrics }}
{"filenames":["extra_ERR1806394.25","extra_SRR2174313.4","extra_SRR2174314.14","extra_SRR2174315.7","extra_SRR2174317.1","extra_SRR2174320.38","extra_SRR2174321.10","extra_SRR5580761.114","extra_SRR5580762.42","extra_SRR5580763.92","extra_SRR5925326.20","extra_SRR5927679.39","extra_SRR5927681.71","extra_SRR5927682.28","extra_SRR5927686.74","extra_SRR5927689.35","extra_SRR5927690.6","extra_SRR5927696.30","extra_SRR5927698.79","extra_SRR5927701.10","extra_SRR5927702.80","extra_SRR5927704.2","extra_SRR5927705.1","extra_SRR5927707.30","extra_SRR5927708.48","extra_SRR5927709.41","extra_SRR5927712.38","extra_SRR5927714.26","extra_SRR5927715.35","extra_SRR5927718.58","extra_SRR6032568.47","extra_SRR6032569.13","extra_SRR6032570.31","extra_SRR6032571.9","extra_SRR6032572.43","extra_SRR6032575.4","extra_SRR6032579.13","extra_SRR6032581.14","extra_SRR6032583.10","extra_SRR6032588.12","extra_SRR6032598.1","extra_SRR6945401.17","iMGMC_978","single_China_S_Fe11_120417.17","single_China_S_Fe12_120417.16","single_China_S_Fe13_120417.57","single_China_S_Fe14_120416.68","single_China_S_Fe16_120417.26","single_China_S_Fe20_120416.35","single_wildmice_C1220.78","single_wildmice_C1224.60","single_wildmice_C1226.64","single_wildmice_C1231.76","single_wildmice_C1239.77","single_wildmice_C1243.78"],"lists_of_lengths":[[13033,12146,10579,9812,9771,9282,9215,8375,8342,8066,7907,7672,7582,7548,7449,6825,6733,6484,6462,6296,6161,6143,6068,6065,6020,5954,5945,5807,5805,5653,5629,5599,5576,5532,5503,5451,5416,5410,5377,5364,5240,5212,5191,5178,5162,5161,5124,4950,4945,4932,4914,4847,4797,4793,4727,4709,4700,4684,4674,4672,4581,4557,4554,4439,4439,4430,4420,4394,4368,4351,4337,4334,4322,4303,4287,4272,4265,4234,4230,4221,4214,4190,4178,4156,4133,4079,4072,4066,4061,4057,4032,4030,3953,3942,3939,3935,3915,3883,3867,3866,3862,3843,3842,3841,3833,3819,3791,3763,3757,3727,3718,3713,3697,3695,3686,3648,3635,3633,3623,3604,3600,3572,3557,3523,3520,3519,3490,3489,3479,3453,3431,3399,3397,3362,3351,3350,3337,3335,3333,3299,3294,3278,3251,3246,3245,3243,3242,3233,3220,3209,3204,3193,3183,3168,3165,3160,3157,3155,3139,3122,3091,3086,3081,3076,3076,3061,3058,3047,3025,3024,3021,3014,3008,3001,2999,2986,2969,2965,2945,2944,2931,2930,2919,2899,2886,2876,2853,2845,2837,2828,2809,2805,2793,2790,2780,2779,2771,2745,2730,2729,2726,2725,2725,2716,2716,2715,2696,2675,2669,2659,2654,2626,2610,2603,2581,2571,2568,2550,2545,2535,2526,2518,2506,2502,2497,2494,2492,2472,2469,2468,2452,2445,2430,2429,2426,2419,2409,2404,2388,2377,2376,2359,2356,2340,2325,2317,2313,2309,2304,2303,2300,2286,2285,2278,2276,2265,2259,2248,2242,2231,2221,2221,2204,2193,2192,2190,2188,2185,2172,2171,2163,2158,2155,2154,2150,2145,2124,2107,2096,2090,2084,2079,2060,2057,2050,2042,2025,2019,2019,2016,2015,2006,2006,1999,1999,1993,1978,1977,1975,1972,1955,1949,1947,1947,1931,1923,1921,1915,1915,1913,1904,1904,1894,1870,1864,1864,1856,1852,1846,1829,1827,1823,1821,1818,1816,1810,1808,1804,1787,1761,1760,1748,1736,1730,1723,1723,1721,1713,1713,1696,1696,1691,1691,1688,1671,1671,1668,1668,1662,1659,1654,1649,1642,1633,1629,1628,1627,1626,1620,1605,1602,1595,1580,1570,1568,1566,1565,1562,1561,1561,1560,1559,1558,1553,1551,1540,1538,1533,1532,1530,1527,1521,1520,1517,1516,1509,1508,1504,1504,1502,1501],[21384,21183,19999,17582,15630,15242,15227,15165,14102,13798,13566,13498,13015,13011,12351,12346,12011,11828,11760,11439,11274,11018,10760,10755,10565,10247,10155,10146,10139,9941,9899,9654,9550,9374,9333,9323,9257,9250,9167,8988,8827,8740,8708,8574,8527,8259,8250,8248,8057,7925,7775,7754,7703,7693,7593,7576,7553,7548,7437,7257,7252,7227,7165,7008,7004,6961,6938,6794,6673,6666,6608,6532,6525,6522,6519,6510,6503,6500,6486,6277,6227,6217,6180,6083,6032,6007,5993,5988,5986,5982,5937,5932,5919,5894,5841,5786,5755,5698,5645,5638,5626,5583,5548,5504,5471,5448,5421,5393,5379,5335,5311,5304,5293,5277,5268,5207,5187,5168,5166,5139,5132,5053,5043,5039,5013,4941,4859,4857,4796,4780,4767,4764,4764,4711,4657,4655,4627,4568,4522,4519,4511,4510,4505,4499,4491,4471,4447,4414,4403,4400,4342,4342,4342,4317,4270,4156,4144,4144,4096,4083,4000,3981,3967,3954,3796,3793,3732,3721,3699,3683,3680,3675,3668,3643,3641,3635,3625,3592,3585,3544,3526,3526,3519,3516,3492,3439,3412,3372,3353,3343,3336,3323,3171,3168,3149,3148,3148,3100,3097,3096,3089,3080,3078,3068,3060,3006,2968,2926,2895,2850,2841,2834,2822,2749,2746,2737,2720,2694,2653,2589,2587,2579,2574,2567,2564,2555,2532,2529,2529,2522,2513,2508,2505,2498,2495,2475,2468,2460,2459,2459,2458,2404,2394,2377,2333,2330,2326,2322,2298,2294,2283,2275,2270,2270,2259,2235,2214,2201,2195,2191,2178,2130,2125,2122,2112,2092,2041,2025,1965,1950,1938,1914,1907,1893,1889,1878,1858,1828,1827,1816,1802,1788,1786,1785,1772,1762,1756,1739,1735,1728,1723,1719,1717,1715,1704,1701,1672,1654,1652,1644,1639,1638,1619,1619,1605,1592,1588,1572,1550,1533,1530,1526,1521,1516,1513],[31396,29912,20314,17711,16678,16035,15953,13399,12327,12023,11966,11785,11649,11439,11044,11023,10847,10634,10615,10429,10392,10377,10298,10296,9995,9891,9810,9672,9640,9610,9605,9511,9434,9402,9359,9233,9128,9105,8989,8940,8541,8238,8228,8197,8164,8121,8093,8025,7919,7654,7567,7561,7453,7369,7364,7235,7148,7121,7082,6996,6880,6847,6836,6821,6768,6757,6679,6668,6618,6584,6543,6533,6503,6464,6390,6362,6336,6327,6275,6229,6184,6107,6098,6006,5945,5912,5881,5868,5743,5737,5708,5656,5570,5568,5548,5533,5519,5504,5469,5406,5399,5396,5389,5361,5359,5355,5208,5160,5126,5091,5087,5070,5008,4973,4889,4878,4876,4788,4778,4776,4772,4754,4702,4683,4669,4663,4641,4605,4597,4543,4536,4519,4500,4496,4485,4424,4396,4361,4352,4222,4203,4116,4113,4108,4094,4081,4079,4031,3968,3955,3938,3926,3914,3912,3887,3879,3844,3832,3776,3771,3770,3769,3750,3728,3679,3674,3673,3653,3606,3601,3597,3572,3564,3549,3522,3508,3505,3490,3464,3460,3456,3455,3446,3418,3393,3358,3300,3280,3275,3202,3192,3126,3124,3113,3069,3065,3050,3031,3020,3012,3011,2993,2987,2971,2958,2943,2922,2911,2911,2908,2897,2895,2850,2809,2809,2801,2797,2780,2773,2754,2734,2733,2731,2719,2718,2715,2697,2675,2665,2662,2648,2592,2582,2568,2565,2557,2553,2511,2478,2477,2468,2461,2439,2430,2413,2411,2378,2371,2369,2360,2359,2355,2347,2320,2319,2319,2314,2286,2239,2238,2217,2211,2193,2176,2163,2142,2124,2112,2105,2082,2050,2048,2041,2027,2026,2015,2015,2009,2005,2000,1996,1990,1988,1984,1962,1941,1941,1940,1939,1920,1915,1904,1897,1891,1888,1883,1876,1869,1869,1866,1860,1850,1824,1817,1808,1805,1800,1793,1785,1774,1768,1767,1737,1732,1730,1725,1722,1722,1710,1664,1650,1639,1635,1608,1603,1601,1591,1563,1557,1549,1547,1537,1512],[10105,6612,6395,6164,5417,5322,5145,4977,4972,4947,4827,4782,4659,4643,4547,4539,4461,4288,4277,4193,4179,4175,4134,4133,4113,4108,4056,4044,4042,4022,4003,3991,3983,3976,3976,3965,3937,3928,3904,3864,3823,3805,3790,3789,3784,3711,3699,3680,3677,3671,3648,3615,3608,3573,3570,3517,3485,3476,3457,3421,3383,3357,3351,3346,3345,3344,3319,3297,3232,3206,3198,3197,3192,3175,3165,3164,3116,3115,3106,3103,3101,3096,3094,3088,3061,3055,3053,3041,3040,3029,3028,2996,2994,2990,2987,2981,2977,2967,2961,2935,2929,2914,2904,2872,2860,2847,2829,2812,2807,2800,2795,2793,2790,2788,2783,2782,2755,2754,2719,2700,2698,2695,2694,2692,2692,2687,2655,2653,2647,2645,2617,2612,2612,2606,2598,2596,2595,2575,2573,2570,2569,2536,2514,2511,2508,2478,2474,2470,2455,2452,2448,2444,2429,2426,2423,2403,2400,2395,2380,2378,2370,2365,2341,2335,2332,2325,2311,2307,2306,2306,2295,2292,2288,2279,2279,2261,2224,2212,2211,2210,2208,2206,2197,2197,2192,2191,2186,2172,2172,2157,2147,2145,2134,2122,2122,2110,2109,2107,2104,2100,2089,2087,2085,2079,2079,2077,2076,2074,2066,2056,2054,2051,2050,2048,2042,2042,2037,2036,2031,2026,2015,2014,2013,2011,2007,2005,2005,2001,2000,1997,1997,1985,1977,1976,1962,1961,1956,1955,1947,1946,1945,1941,1937,1936,1934,1932,1910,1909,1906,1905,1902,1898,1897,1895,1890,1883,1879,1879,1878,1871,1861,1855,1852,1848,1843,1841,1838,1838,1831,1831,1830,1830,1828,1828,1825,1817,1817,1815,1811,1811,1808,1804,1797,1797,1796,1796,1793,1790,1789,1786,1783,1781,1779,1775,1772,1772,1769,1767,1757,1755,1752,1729,1727,1719,1717,1716,1710,1705,1705,1702,1696,1692,1691,1688,1688,1685,1683,1675,1669,1666,1666,1663,1659,1656,1653,1650,1649,1647,1641,1641,1640,1628,1626,1626,1608,1608,1607,1603,1602,1602,1598,1596,1596,1588,1585,1585,1578,1576,1574,1572,1571,1568,1565,1564,1564,1559,1556,1539,1536,1523,1514],[58671,40204,29806,26344,26251,25187,22075,21857,21796,20794,20786,20222,20182,20024,19840,19386,18444,18252,17216,16798,16426,15594,15057,14469,14285,14277,14193,14176,14174,13888,13505,13318,12707,12544,12309,12305,12248,12207,12118,12107,12086,11900,11895,11632,11467,11297,11153,11144,11066,10968,10898,10888,10846,10684,10664,10394,10023,9257,9190,9105,8958,8927,8878,8853,8851,8734,8506,8486,8453,8424,8418,8341,8297,8286,8260,8159,8159,8142,8087,8071,8042,7936,7882,7828,7762,7728,7728,7616,7579,7495,7396,7380,7331,7274,7149,7058,6958,6792,6704,6613,6519,6518,6420,6164,6158,6128,6123,5942,5889,5889,5845,5801,5659,5625,5624,5557,5462,5438,5438,5380,5348,5310,5254,5126,5058,4947,4919,4871,4794,4746,4744,4690,4576,4512,4500,4467,4438,4398,4387,4309,4296,4288,4245,4215,4101,4029,4003,3874,3854,3764,3706,3578,3567,3494,3460,3456,3372,3354,3351,3347,3327,3296,3285,3279,3230,3207,3206,3156,3095,3082,2994,2941,2920,2910,2897,2813,2691,2584,2491,2487,2481,2467,2466,2450,2440,2397,2286,2277,2258,2224,2221,2215,2212,2189,2165,2115,2082,2053,2020,1974,1867,1824,1819,1818,1791,1776,1756,1747,1732,1719,1711,1653,1625,1619,1607,1564,1543,1541,1503],[15759,11470,9987,9532,8909,8901,8823,8546,8459,8233,8187,7671,7620,7582,7513,7494,7367,6915,6912,6850,6763,6701,6689,6664,6481,6453,6343,6079,5827,5753,5705,5673,5553,5524,5470,5448,5441,5393,5311,5263,5156,5103,5077,5006,5002,4944,4942,4924,4888,4883,4866,4763,4753,4753,4729,4712,4708,4707,4646,4632,4593,4568,4534,4528,4521,4467,4357,4334,4328,4310,4283,4250,4241,4219,4210,4205,4202,4198,4177,4165,4136,4084,4045,4038,4016,4010,4000,3985,3960,3938,3932,3874,3852,3845,3835,3831,3820,3803,3799,3795,3768,3756,3744,3730,3711,3706,3662,3635,3618,3616,3599,3598,3596,3596,3583,3581,3511,3507,3484,3462,3452,3434,3398,3397,3393,3389,3351,3339,3335,3315,3307,3284,3284,3274,3258,3254,3252,3248,3234,3220,3219,3217,3216,3199,3186,3174,3148,3148,3138,3129,3105,3100,3097,3083,3081,3064,3044,3041,3041,3025,3022,3007,2994,2991,2941,2938,2935,2928,2912,2899,2876,2872,2864,2852,2818,2815,2811,2807,2804,2797,2789,2784,2783,2773,2758,2754,2704,2702,2697,2695,2691,2685,2683,2677,2673,2646,2638,2618,2617,2605,2597,2582,2581,2570,2553,2549,2547,2544,2538,2529,2508,2505,2501,2501,2494,2491,2489,2483,2474,2473,2470,2468,2468,2463,2460,2456,2447,2445,2412,2411,2410,2405,2374,2370,2370,2344,2338,2335,2315,2309,2306,2304,2297,2290,2279,2273,2267,2265,2255,2244,2232,2232,2229,2227,2201,2191,2189,2167,2165,2164,2153,2144,2140,2135,2135,2134,2132,2116,2110,2109,2103,2102,2090,2089,2089,2088,2088,2087,2085,2084,2078,2077,2076,2069,2068,2066,2058,2052,2051,2049,2049,2040,2035,2026,2021,2009,1972,1963,1961,1951,1942,1941,1938,1937,1934,1916,1909,1909,1903,1880,1877,1873,1872,1870,1859,1852,1845,1845,1842,1837,1837,1834,1824,1822,1820,1807,1802,1802,1799,1795,1793,1785,1783,1782,1770,1756,1752,1751,1751,1746,1745,1722,1716,1714,1711,1705,1702,1692,1689,1688,1686,1685,1682,1668,1666,1663,1660,1656,1654,1649,1643,1630,1628,1622,1618,1615,1614,1613,1610,1605,1601,1601,1600,1599,1598,1594,1592,1586,1582,1581,1573,1571,1567,1566,1558,1557,1554,1540,1534,1532,1531,1519,1519,1518,1511,1509,1501],[65535,60052,58737,57086,55943,52531,52156,51981,49888,49641,46429,40777,40552,39146,37388,36925,36002,33484,32093,30909,28072,27447,27122,26055,25972,24641,24512,23778,23507,22399,21827,21703,21278,20788,20586,20247,20149,19647,19117,19096,18419,16780,13667,13586,13348,13131,12932,12560,10896,10070,9914,9503,9483,8860,8514,7877,7208,6635,6627,6475,6270,5931,5707,5653,5338,5295,5096,5063,4709,4593,4142,3779,3657,3617,3390,3293,3257,3119,3070,2708,2642,2211,2090,2005,1973,1810,1803,1564],[163882,147612,135427,107261,105640,91813,91117,83979,79632,62971,61464,60158,57926,46088,24734,24643,24154,24131,22405,21441,16056,14629,13602,10753,7082,5625,3617,2658,2024],[142126,135599,116519,115258,107710,106037,89963,86370,83684,72229,60331,55889,55462,53508,49295,46344,36364,27021,26669,24813,23945,22545,22013,21613,20680,20428,18535,14800,13774,11743,11353,7715,6117,5750,4130,2228,2174,2037],[163883,146585,135429,127343,105640,100360,97930,89522,75634,74452,61466,58430,54497,49328,36271,33825,33582,29921,26845,24737,24677,24641,22304,21736,20985,14629,13602,12237,10702,9511,9463,6615,5625,1723],[13445,11030,9232,8430,8323,8293,8115,8068,7924,7890,7638,7616,7603,7396,7377,7283,7165,7159,6852,6790,6706,6647,6646,6605,6581,6573,6477,6475,6394,6347,6273,6260,6129,6089,6040,6002,5923,5746,5678,5661,5647,5583,5581,5494,5453,5348,5341,5306,5287,5287,5185,5174,5162,5136,4990,4951,4839,4835,4817,4754,4693,4668,4657,4655,4623,4595,4520,4441,4424,4319,4318,4317,4313,4275,4270,4264,4213,4188,4164,4101,4025,4013,3970,3956,3953,3926,3919,3888,3873,3860,3849,3845,3816,3797,3781,3767,3758,3753,3726,3686,3672,3661,3644,3637,3617,3598,3574,3530,3528,3526,3496,3460,3432,3432,3425,3381,3379,3376,3351,3346,3344,3333,3291,3288,3243,3232,3219,3218,3201,3164,3156,3149,3089,3081,3081,3048,3026,3020,3013,2998,2966,2964,2962,2956,2950,2902,2895,2893,2886,2870,2857,2853,2852,2822,2821,2820,2820,2790,2788,2768,2768,2765,2756,2734,2707,2705,2703,2691,2658,2655,2652,2648,2647,2630,2615,2597,2586,2570,2565,2561,2556,2556,2552,2550,2549,2544,2531,2521,2518,2518,2495,2495,2478,2468,2458,2456,2433,2428,2424,2411,2408,2386,2378,2373,2364,2364,2363,2362,2346,2327,2304,2304,2303,2297,2294,2285,2269,2260,2253,2252,2243,2236,2235,2223,2223,2220,2215,2213,2211,2206,2204,2187,2187,2182,2180,2170,2164,2161,2158,2155,2141,2132,2125,2123,2104,2092,2077,2077,2074,2062,2053,2046,2042,2028,2019,2010,2003,2000,1992,1992,1986,1982,1981,1974,1953,1950,1942,1939,1930,1927,1913,1913,1912,1906,1905,1897,1895,1884,1874,1870,1855,1855,1855,1852,1849,1837,1821,1819,1816,1815,1802,1802,1801,1798,1790,1782,1774,1770,1769,1764,1764,1762,1756,1754,1736,1733,1724,1723,1722,1720,1718,1715,1711,1701,1693,1690,1679,1670,1669,1669,1654,1649,1640,1638,1635,1634,1631,1627,1626,1626,1624,1623,1620,1620,1618,1615,1614,1612,1611,1607,1599,1587,1586,1583,1572,1570,1568,1564,1564,1557,1552,1536,1532,1528,1522,1518,1517,1517,1515,1510,1504],[20314,19376,15562,13821,12801,12450,12440,12145,12036,11715,11640,11453,11336,10946,10875,10517,10258,9836,9818,9798,9695,9663,9499,9465,9187,8897,8728,8723,8723,8701,8668,8471,8119,8076,8032,7951,7914,7893,7876,7385,7343,7201,7196,7117,7095,7076,7069,7031,6930,6798,6774,6736,6525,6221,6219,6189,6109,6084,6043,6025,6023,5998,5976,5950,5853,5829,5803,5763,5745,5705,5699,5681,5673,5549,5446,5400,5386,5324,5287,5223,5195,5182,5072,5066,5007,5002,4970,4957,4901,4876,4850,4825,4811,4809,4747,4716,4690,4690,4644,4624,4609,4574,4558,4549,4536,4532,4516,4495,4494,4453,4372,4351,4332,4313,4310,4289,4284,4250,4241,4222,4193,4174,4155,4151,4132,4096,4093,4086,4049,4041,4028,3991,3981,3978,3975,3955,3949,3944,3907,3895,3882,3872,3853,3847,3833,3797,3775,3761,3747,3740,3729,3711,3695,3690,3663,3645,3641,3631,3630,3609,3538,3522,3513,3481,3463,3458,3454,3427,3422,3372,3352,3341,3336,3281,3265,3265,3251,3192,3185,3168,3160,3146,3142,3131,3131,3127,3103,3097,3094,3082,3067,3061,3055,3032,3020,3014,2996,2991,2960,2955,2931,2915,2912,2906,2892,2857,2839,2838,2817,2816,2800,2798,2781,2781,2767,2765,2746,2744,2735,2707,2695,2694,2661,2660,2653,2648,2643,2641,2614,2611,2608,2606,2586,2582,2580,2570,2565,2553,2551,2524,2515,2509,2508,2507,2467,2451,2447,2434,2422,2419,2405,2405,2397,2394,2380,2374,2367,2345,2343,2336,2313,2291,2272,2262,2219,2185,2184,2181,2179,2164,2164,2155,2142,2123,2116,2107,2089,2079,2073,2073,2072,2059,2049,2039,2029,2029,2011,1992,1946,1942,1933,1916,1905,1888,1877,1844,1842,1824,1823,1809,1802,1800,1799,1797,1784,1770,1738,1732,1731,1729,1702,1696,1693,1668,1636,1622,1622,1606,1584,1584,1584,1582,1581,1580,1574,1569,1554,1550,1549,1542,1538,1528,1524,1516,1514,1505,1504],[13680,13172,12529,10778,10137,9615,9508,9494,8610,8384,8312,8184,8093,7988,7884,7866,7843,7528,7523,7450,7380,7364,7082,7005,6957,6743,6730,6458,6456,6288,6269,6241,6213,6143,6111,6091,6044,5992,5860,5645,5640,5575,5564,5561,5430,5302,5163,5106,5089,5039,5022,5016,4993,4982,4978,4934,4845,4806,4777,4774,4744,4740,4702,4692,4675,4670,4649,4641,4607,4548,4479,4474,4472,4467,4446,4426,4398,4335,4276,4237,4195,4171,4143,4143,4109,4087,4087,3987,3957,3864,3824,3811,3811,3768,3745,3718,3713,3699,3696,3685,3670,3663,3639,3637,3626,3589,3570,3559,3557,3555,3517,3515,3350,3326,3314,3259,3251,3244,3244,3243,3237,3199,3194,3186,3147,3144,3110,3105,3101,3095,3066,3057,3054,3039,3033,3008,2985,2982,2979,2942,2938,2874,2869,2868,2853,2839,2828,2806,2796,2781,2768,2763,2747,2694,2659,2650,2648,2641,2603,2556,2523,2491,2471,2447,2422,2379,2378,2368,2356,2329,2327,2326,2318,2279,2276,2263,2246,2241,2241,2226,2218,2208,2190,2168,2152,2150,2147,2146,2092,2069,2061,2037,2035,2034,2002,1979,1970,1969,1952,1942,1910,1901,1896,1883,1876,1853,1828,1826,1812,1781,1779,1763,1763,1752,1748,1736,1734,1728,1708,1700,1689,1684,1678,1662,1659,1657,1656,1650,1648,1632,1620,1612,1610,1604,1589,1584,1577,1562,1559,1554,1535,1535,1527,1520,1517,1507,1504,1500],[152233,91820,69177,65065,63145,56099,53410,52240,48192,46527,44445,44130,37682,36430,35280,31743,31305,28285,27322,24643,23661,22928,22231,21602,21089,20862,19270,16700,16127,14529,13650,13418,12027,11250,10662,9975,9936,9867,9147,8674,8506,8270,8208,7905,7888,7007,6998,5863,5642,5456,5034,4725,3340,2355,2144,2059,1997,1925,1880,1685,1676],[106042,69757,59154,54708,50530,48546,48104,46889,46490,45800,44864,41528,40556,40312,35475,32034,31305,30229,29501,28684,28073,27873,26861,25553,24643,21543,20360,20338,18719,18484,17902,17327,16775,16339,15872,15563,13651,13382,13079,12920,12498,12194,12067,11166,10911,10861,10750,10628,10557,10322,10230,9869,8080,8079,7888,7719,7309,6982,6973,6927,6713,6625,6292,6082,5679,5589,5456,5429,5376,5171,5110,4597,4043,4020,3853,3776,3557,3533,3449,3437,3272,2889,2848,2828,2739,2700,2591,2511,2435,2397,2341,2068,2036,2016,2010,1676,1549],[68465,65417,46376,42924,42713,42413,40225,38151,32922,30679,26245,26201,25169,24644,24508,23547,22060,21381,21287,20170,19956,18785,18294,18209,17430,17281,17238,17130,15701,15321,14854,14567,13651,13294,12957,12714,11734,11455,10104,9635,9304,9155,8754,8610,8355,8074,7891,7811,7690,7581,7580,7354,7156,7152,7094,6833,6761,6659,6603,6520,6344,6173,6077,6063,5882,5877,5807,5794,5793,5696,5456,5332,5295,5251,5166,5154,5097,4965,4809,4774,4655,4538,4406,4374,4247,4190,4143,4051,4039,3956,3940,3903,3844,3842,3679,3667,3587,3555,3523,3518,3380,3379,3281,3234,3222,3122,3090,3021,2982,2949,2930,2812,2784,2761,2743,2704,2637,2620,2573,2560,2500,2443,2373,2325,2256,2216,2207,2185,2179,2165,2151,2126,2043,2038,2010,1971,1963,1954,1930,1909,1896,1868,1864,1844,1836,1802,1752,1680,1602,1595,1587,1571,1559,1549,1541,1515],[26354,23582,22669,22305,20471,20331,17644,16973,16536,16024,15512,14929,14575,14245,13675,13561,12970,12836,12605,12600,11960,11756,11505,11392,11272,11178,11057,10941,10876,10768,10689,10553,10506,10396,10126,10034,9952,9625,9106,9048,8912,8888,8829,8762,8751,8457,8376,8212,8153,7977,7901,7887,7832,7766,7393,7368,7232,6986,6980,6899,6892,6615,6553,6468,6368,6355,6283,6218,6050,5987,5961,5937,5935,5904,5876,5793,5770,5754,5752,5681,5591,5548,5541,5520,5473,5473,5442,5423,5267,5233,5211,5074,5048,5040,5027,4943,4917,4804,4804,4705,4684,4668,4639,4537,4513,4482,4339,4310,4299,4280,4271,4266,4235,4226,4199,4192,4189,4028,3927,3815,3764,3711,3704,3599,3551,3548,3508,3492,3488,3469,3445,3430,3409,3316,3291,3275,3215,3200,3159,3146,3113,3087,3078,3063,3052,2975,2905,2812,2745,2735,2733,2698,2621,2597,2577,2574,2564,2555,2555,2525,2514,2499,2489,2477,2466,2463,2452,2439,2423,2349,2324,2301,2281,2228,2161,2151,2136,2119,2110,2094,2094,2069,1989,1964,1935,1928,1921,1906,1898,1894,1888,1886,1878,1878,1866,1836,1834,1834,1786,1757,1742,1729,1725,1713,1708,1702,1696,1695,1682,1673,1659,1658,1651,1645,1617,1616,1615,1602,1598,1595,1574,1567,1562,1559,1548,1543,1537,1527,1524,1503],[271388,171982,160659,137951,135339,131829,98384,81321,74231,54739,54264,51729,39398,39181,37860,29799,25169,24643,13651,10785,6435,5456,2718,1738],[190316,163103,135337,134242,133060,126479,113693,104961,102038,98338,49284,48408,46502,37863,27518,22379,19353,16179,13467,13418,11013,10434,9025,8817,7979,5456,3818,3156,3031,2319,2051,1612],[10614,10250,9693,8999,8888,8398,8160,7699,7465,7233,7073,6839,6822,6801,6800,6736,6717,6644,6437,6428,6422,6346,6330,6197,6196,5976,5921,5905,5859,5854,5796,5775,5656,5639,5611,5549,5543,5317,5195,5134,5124,5026,4916,4863,4861,4841,4725,4700,4693,4686,4675,4628,4626,4597,4595,4572,4557,4511,4384,4362,4320,4253,4221,4208,4184,4182,4124,4083,4081,4057,4022,3992,3952,3949,3904,3903,3893,3888,3865,3838,3835,3835,3828,3815,3780,3768,3720,3713,3653,3592,3589,3531,3491,3469,3453,3436,3433,3411,3404,3397,3396,3366,3337,3335,3293,3291,3287,3278,3239,3202,3173,3148,3132,3118,3079,3076,3030,3008,3004,2976,2969,2964,2891,2870,2821,2799,2772,2769,2740,2739,2720,2708,2689,2685,2670,2669,2667,2660,2655,2644,2625,2621,2614,2614,2609,2603,2602,2586,2582,2579,2558,2538,2521,2511,2502,2475,2455,2440,2436,2432,2427,2423,2420,2366,2356,2348,2338,2336,2331,2325,2325,2314,2314,2286,2282,2274,2272,2269,2268,2254,2229,2227,2223,2209,2206,2203,2195,2160,2135,2134,2099,2078,2077,2076,2071,2070,2056,2054,2053,2039,2021,1978,1955,1954,1947,1934,1922,1909,1907,1894,1890,1879,1852,1820,1818,1817,1814,1813,1809,1808,1798,1795,1794,1794,1780,1765,1763,1755,1752,1748,1741,1738,1729,1728,1723,1723,1720,1711,1710,1706,1692,1684,1658,1641,1640,1639,1626,1620,1614,1612,1606,1606,1600,1597,1588,1574,1562,1553,1552,1539,1539,1536,1532,1515,1510,1507],[62302,54708,49616,48546,46679,46488,39443,39305,37375,31741,31301,31170,29555,29059,28692,27929,27831,25174,24315,23291,21276,21200,20396,20338,20235,19757,17814,17576,16418,16074,15971,15832,15823,15049,14460,14120,13428,12762,12515,12353,12055,11594,11460,11456,11421,10788,10750,10671,10546,10533,10230,9873,9564,9331,9205,8771,8440,7907,7888,7550,7544,6982,6954,6625,6600,6457,6440,6221,6220,6191,6082,6063,5667,5586,5584,5455,5376,5219,5197,4949,4879,4876,4771,4551,4287,4038,3892,3804,3734,3719,3713,3591,3533,3277,3247,3222,2828,2739,2673,2529,2316,2144,2035,2011,1999,1993,1872,1831,1751,1716,1687,1656,1641,1586,1578,1549],[9224,7938,7742,7426,7069,6569,6148,6053,6022,6008,5908,5758,5708,5596,5537,5372,5300,5249,5145,4943,4930,4871,4665,4662,4617,4562,4481,4473,4435,4398,4304,4224,4161,4157,4096,4088,3961,3929,3925,3921,3878,3817,3780,3767,3742,3707,3697,3660,3621,3612,3593,3565,3538,3518,3463,3456,3452,3403,3396,3378,3367,3363,3356,3337,3287,3270,3254,3253,3249,3246,3244,3227,3158,3147,3144,3139,3132,3115,3090,3089,3047,3036,3014,3004,2988,2973,2966,2964,2960,2944,2893,2888,2885,2873,2862,2807,2802,2793,2782,2776,2771,2769,2754,2753,2752,2739,2736,2734,2712,2708,2705,2700,2681,2675,2674,2649,2648,2631,2631,2626,2623,2612,2609,2592,2568,2558,2556,2533,2529,2520,2520,2508,2507,2493,2488,2481,2472,2447,2434,2426,2426,2416,2413,2409,2407,2405,2394,2388,2383,2362,2359,2358,2355,2354,2341,2311,2304,2301,2297,2288,2280,2278,2275,2272,2270,2269,2260,2252,2250,2250,2237,2230,2229,2228,2227,2210,2202,2202,2181,2180,2177,2175,2172,2172,2168,2165,2154,2151,2149,2142,2141,2138,2133,2130,2128,2123,2121,2119,2111,2107,2107,2091,2085,2079,2078,2074,2066,2063,2062,2060,2050,2045,2044,2041,2030,2024,2024,2019,2018,2017,2017,2005,2002,1986,1985,1985,1983,1977,1966,1962,1960,1949,1932,1924,1922,1921,1918,1916,1901,1896,1887,1881,1868,1867,1859,1857,1856,1855,1843,1839,1823,1819,1818,1812,1811,1809,1801,1795,1792,1789,1783,1781,1778,1774,1760,1759,1755,1752,1746,1742,1741,1741,1741,1736,1731,1729,1726,1725,1719,1719,1718,1715,1712,1707,1704,1699,1690,1688,1688,1684,1682,1676,1658,1658,1657,1657,1651,1650,1646,1642,1638,1632,1630,1626,1626,1623,1610,1607,1607,1606,1602,1598,1598,1597,1595,1589,1587,1585,1585,1585,1583,1582,1575,1567,1565,1561,1557,1555,1551,1544,1544,1543,1539,1530,1530,1529,1521,1516,1513,1511,1504,1504,1503],[17440,13582,12475,11422,11143,11127,10485,10447,10432,10062,9421,9078,8987,8547,8282,8274,8059,7548,7392,6981,6950,6586,6482,6457,6288,6031,5989,5960,5759,5719,5642,5536,5409,5375,5313,5161,5137,4996,4925,4892,4861,4823,4801,4744,4704,4639,4557,4483,4469,4457,4445,4396,4362,4312,4291,4191,4120,4063,3989,3933,3898,3897,3882,3853,3828,3728,3692,3674,3649,3642,3554,3552,3546,3499,3471,3425,3380,3341,3338,3316,3298,3263,3248,3230,3202,3198,3184,3148,3146,3131,3125,3082,3069,3015,2985,2984,2974,2915,2861,2847,2842,2808,2803,2793,2789,2788,2788,2781,2779,2641,2613,2607,2578,2571,2550,2541,2539,2521,2488,2463,2452,2414,2384,2383,2368,2368,2349,2337,2336,2325,2317,2287,2243,2238,2206,2170,2169,2162,2152,2150,2145,2137,2116,2090,2083,2069,2065,2060,2059,2058,2052,2045,2027,2024,2023,2013,2000,1992,1985,1966,1962,1960,1944,1930,1922,1917,1912,1901,1899,1883,1867,1865,1863,1857,1854,1851,1829,1829,1779,1771,1759,1758,1757,1747,1745,1741,1737,1727,1721,1703,1699,1695,1692,1691,1690,1686,1685,1683,1678,1677,1671,1658,1656,1652,1643,1639,1633,1628,1621,1620,1618,1614,1613,1613,1605,1601,1596,1595,1590,1580,1579,1570,1567,1565,1556,1552,1551,1550,1545,1539,1536,1524,1520,1519,1517,1513,1512,1510,1507,1506],[85569,84726,83501,71704,67125,65456,54708,49302,48104,45618,45327,40312,38493,31741,30264,24643,21889,20338,19544,18486,17686,17484,17450,17327,17173,17136,15872,14210,13652,13308,13038,12035,11456,11030,11011,10750,10431,10229,10116,8078,8016,7888,6983,6600,6457,5859,5509,5455,5096,3848,3523,3277,2828,2698,2529,2504,2144,2133,1993,1872,1700,1690,1549,1507],[49275,42451,42009,31546,30795,30727,30443,27462,26734,24643,24582,23858,23840,23744,21324,20692,20002,19569,17428,17221,17208,16974,16782,15162,15096,14971,14939,14877,14459,11804,11503,11303,11159,11030,10785,10426,10263,10230,9852,9692,9550,9329,9320,9135,8886,8142,7882,7747,7664,7161,6964,6616,6463,6257,5723,5506,5456,5376,5266,5185,5179,5075,4946,4642,4481,4297,4258,3873,3840,3529,3466,3249,2984,2949,2698,2577,2500,2423,2177,2161,2152,1948,1920,1912,1874,1836,1769,1752,1608,1564,1501],[44891,44073,42992,40548,39268,38493,38399,37454,35418,32797,31997,30981,30010,28478,27179,25098,24644,24314,23340,22667,21890,20924,20338,19544,18717,18699,18254,17337,17325,16202,16168,16019,15628,15417,14735,14272,14014,13888,13716,13652,13494,13472,13403,13305,13170,13012,12787,11692,10913,10691,10536,10365,9934,9424,9330,8807,8096,7888,7595,7548,6983,6900,6435,6296,6284,6219,6161,6097,6062,5936,5890,5877,5826,5667,5574,5475,5455,5376,5065,5047,5042,4841,4676,4650,4640,4270,4248,4214,3721,3712,3606,3396,3379,3292,3275,3109,2749,2556,2326,2316,2235,2143,1991,1921,1885,1856,1818,1795,1719,1701,1686,1613,1585,1574],[47768,45919,32930,31926,31789,29396,28004,26468,26086,25067,24948,24646,23384,22214,20380,20322,19668,19664,18336,18273,18258,18047,17940,17728,16359,16232,16103,14684,14245,13666,13486,11892,11535,11261,11013,10960,10956,10840,9656,9155,8731,8184,7913,7707,7266,7047,7014,6518,5908,5141,5090,4873,4506,4364,4098,3216,3097,3059,2980,2830,2729,2297,2251,2041,1999,1728],[156203,87138,74869,67123,66987,64317,56663,54697,51288,50713,48119,45620,44987,42576,41060,36750,34927,34115,31827,30483,30032,26087,24776,24643,24532,22825,20116,18489,17447,16074,13652,13505,13360,13000,11395,10557,9347,8962,8506,8155,7888,7526,6927,6894,6648,6625,6057,5964,5922,5493,5486,5456,5066,4862,4678,4641,4553,4463,4304,4287,4207,3713,3527,3277,2848,2548,2529,2515,2507,2498,2458,2327,2316,2299,2285,2115,2068,1992,1817,1774,1697,1580],[60678,54921,49686,49633,47181,45896,44921,44400,44163,39780,38493,37004,36749,36477,34114,32074,30987,30353,29694,27265,26172,25821,24477,24188,21327,21308,20925,20213,19867,19463,18253,17645,17373,16823,16134,16031,15979,15637,15586,14781,14764,14634,14315,14290,14232,13736,13652,13493,13349,13249,12616,12031,11421,10837,10669,10499,9831,9593,9112,8936,8650,8629,8586,8444,8375,8112,7867,7838,7706,7611,7597,7560,7274,7216,7181,7144,6965,6780,6660,6648,6558,6416,6348,5951,5935,5646,5548,5516,5454,5293,5065,3999,3883,3839,3597,3186,3017,2878,2836,2341,2235,2144,1944,1923,1810,1790,1593,1580,1564],[18918,18735,16385,16093,13542,12377,12215,12197,11909,11863,11583,11375,10985,10938,9915,9717,9660,9024,8928,8808,8750,8663,8612,8585,8547,8459,8441,8381,8230,8206,8121,8000,7991,7770,7666,7281,7247,7099,7073,7005,6981,6899,6738,6628,6619,6598,6500,6450,6421,6382,6218,6189,6179,6161,6154,6146,6106,6083,6054,6013,5973,5953,5935,5931,5826,5810,5754,5654,5600,5561,5554,5477,5441,5432,5374,5364,5320,5320,5282,5093,5041,5031,5027,4976,4893,4865,4843,4797,4737,4690,4687,4676,4639,4635,4625,4616,4612,4542,4533,4487,4478,4457,4448,4348,4268,4240,4215,4174,4169,4145,3934,3913,3892,3865,3855,3747,3725,3678,3635,3623,3623,3589,3587,3566,3532,3527,3503,3502,3491,3376,3337,3175,3167,3114,3105,3086,3068,3011,2964,2942,2894,2847,2841,2808,2782,2767,2765,2745,2697,2685,2649,2634,2514,2504,2478,2472,2441,2438,2382,2329,2325,2239,2233,2172,2169,2167,2151,2143,2109,2059,2034,2028,2024,2010,2007,1998,1977,1976,1963,1956,1948,1918,1911,1885,1834,1772,1769,1766,1760,1759,1746,1696,1677,1651,1615,1604,1601,1601,1593,1577,1562,1561,1551,1503],[35744,24650,22573,22322,20527,20129,19659,19489,19277,18378,16889,16600,16535,16504,16338,16156,16052,16043,15882,15325,14332,13990,13951,13751,13635,13512,12735,12461,12419,12356,11949,11680,11347,11236,11208,10849,10604,10059,9837,9784,9535,9348,9341,9300,9260,9113,9111,9109,9047,9009,8859,8818,8602,8536,8493,8490,8338,8266,8229,8163,8128,8080,7964,7947,7947,7890,7847,7770,7717,7589,7564,7408,7173,7114,7047,6998,6905,6889,6856,6849,6838,6787,6722,6644,6601,6565,6496,6394,6389,6328,6259,6208,6161,6131,6060,6029,5952,5947,5922,5891,5872,5864,5858,5850,5845,5793,5697,5653,5598,5468,5443,5214,5093,5082,5074,5022,4858,4815,4804,4804,4716,4709,4566,4505,4477,4432,4428,4386,4352,4328,4207,4194,4191,4142,4135,4134,4053,4045,4040,4029,4022,4020,4005,3978,3966,3927,3888,3881,3881,3850,3802,3759,3700,3696,3683,3612,3604,3518,3470,3441,3364,3350,3305,3244,3241,3201,3184,3176,3174,3132,3126,3106,3097,3038,3034,3025,2976,2969,2955,2952,2929,2850,2768,2730,2726,2717,2707,2707,2675,2651,2617,2582,2548,2534,2510,2480,2466,2410,2408,2403,2385,2377,2376,2368,2305,2240,2236,2226,2207,2186,2175,2160,2125,2100,2092,2081,2055,2051,2037,2037,2036,2034,2031,2021,1999,1995,1981,1973,1965,1929,1913,1892,1881,1880,1823,1789,1768,1764,1760,1706,1705,1704,1702,1678,1672,1668,1658,1640,1631,1629,1617,1617,1617,1611,1610,1608,1598,1578,1553,1549,1528],[12767,11135,10375,9684,9624,9051,9049,8819,8649,7987,7864,7702,7321,7198,7119,7065,7063,6963,6938,6758,6449,6308,6257,6239,6105,6092,6074,6050,5948,5861,5750,5741,5739,5636,5636,5607,5593,5569,5532,5459,5459,5322,5272,5250,5242,5232,5040,5033,4984,4983,4823,4799,4789,4762,4719,4627,4447,4402,4400,4397,4397,4392,4331,4298,4271,4257,4257,4223,4216,4197,4152,4147,4114,4114,4095,4074,4048,4030,4004,3956,3919,3867,3830,3824,3812,3808,3785,3775,3730,3728,3720,3680,3645,3638,3628,3620,3619,3594,3585,3584,3584,3548,3522,3506,3480,3478,3460,3422,3408,3405,3398,3397,3380,3376,3348,3305,3278,3265,3263,3257,3238,3233,3222,3210,3183,3183,3176,3175,3164,3160,3144,3142,3110,3109,3066,3066,3066,3063,3050,3046,3045,3043,3042,3041,3037,3020,3016,3012,3007,2991,2988,2959,2951,2947,2940,2908,2904,2895,2892,2891,2886,2884,2882,2876,2872,2866,2861,2846,2834,2829,2827,2819,2813,2812,2804,2785,2785,2775,2773,2745,2745,2742,2736,2731,2730,2713,2706,2697,2628,2611,2600,2599,2596,2594,2582,2581,2565,2555,2546,2542,2530,2512,2473,2472,2467,2458,2447,2442,2433,2430,2426,2415,2413,2410,2390,2389,2387,2383,2375,2368,2355,2350,2350,2349,2348,2341,2336,2336,2335,2325,2307,2307,2295,2292,2292,2288,2286,2279,2279,2277,2256,2250,2248,2248,2247,2234,2233,2233,2223,2222,2217,2178,2176,2175,2162,2160,2154,2140,2137,2134,2134,2131,2126,2122,2119,2103,2098,2094,2093,2076,2074,2072,2058,2056,2055,2043,2039,2037,2024,2015,1990,1988,1969,1962,1952,1948,1906,1903,1903,1899,1890,1881,1874,1871,1866,1854,1840,1831,1828,1828,1826,1823,1821,1821,1816,1814,1814,1810,1806,1805,1801,1797,1795,1788,1783,1783,1776,1770,1768,1766,1764,1751,1750,1746,1742,1740,1731,1726,1710,1709,1705,1700,1700,1694,1693,1676,1671,1669,1669,1669,1657,1657,1653,1646,1634,1632,1623,1616,1611,1602,1586,1579,1563,1549,1546,1545,1541,1541,1541,1537,1537,1530,1530,1527,1524,1523,1523,1521,1516,1511,1508,1508,1503],[30106,27323,24461,24366,22831,21094,20390,20280,19914,17842,17687,17510,16332,16106,15285,13935,13902,13860,13501,13441,13239,13124,13008,12939,12872,12595,12536,12473,12312,12039,11651,11524,11247,11058,11021,10724,10715,10646,10363,10171,10171,9909,9882,9839,9280,8882,8872,8838,8756,8700,8681,8469,8388,8361,8056,7972,7916,7872,7833,7770,7702,7693,7576,7447,7305,7149,6996,6982,6956,6850,6826,6800,6776,6757,6670,6651,6601,6442,6398,6350,6285,6190,6109,6051,6031,6018,6006,6000,5950,5886,5850,5819,5772,5735,5634,5622,5579,5468,5463,5449,5354,5353,5352,5339,5318,5316,5315,5217,5199,5102,5000,4973,4966,4960,4898,4876,4866,4835,4778,4661,4643,4614,4578,4555,4552,4510,4499,4494,4410,4384,4341,4306,4288,4283,4252,4244,4219,4208,4138,4135,4114,4097,4068,3979,3872,3823,3793,3749,3730,3695,3632,3618,3593,3592,3587,3568,3524,3486,3473,3468,3414,3398,3353,3336,3328,3322,3298,3284,3262,3259,3202,3190,3181,3174,3157,3141,3138,3064,3040,3029,2905,2892,2880,2781,2766,2764,2733,2704,2684,2633,2611,2605,2594,2581,2574,2551,2550,2540,2532,2521,2511,2495,2477,2402,2393,2387,2348,2339,2330,2328,2328,2323,2322,2300,2274,2242,2207,2196,2185,2179,2147,2119,2117,2098,2080,2071,2056,2026,2003,1960,1951,1931,1928,1921,1918,1897,1897,1877,1870,1869,1865,1857,1838,1800,1787,1758,1757,1756,1739,1736,1702,1698,1684,1678,1675,1669,1663,1648,1642,1639,1639,1635,1602,1597,1581,1574,1569,1561,1535,1515,1513],[30149,22503,21188,20992,19326,18497,17589,17296,17014,16955,16746,15394,15393,15295,14839,14263,14111,13913,13756,13579,13455,13415,13268,13124,12855,12561,12523,12419,11637,11556,11331,11133,10838,10829,10217,10137,10036,9886,9871,9725,9712,9241,9058,9042,9030,8974,8915,8844,8616,8563,8325,8142,8055,8018,7991,7987,7931,7897,7872,7670,7658,7492,7459,7437,7300,7222,7182,7070,6969,6904,6810,6712,6699,6695,6572,6523,6516,6489,6254,6148,6136,6131,6095,6062,6056,6034,5988,5939,5939,5848,5796,5782,5720,5717,5685,5657,5644,5582,5554,5551,5492,5488,5451,5431,5415,5360,5325,5276,5206,5204,5185,5151,5059,5016,5004,4954,4889,4810,4780,4700,4629,4569,4539,4527,4517,4505,4500,4492,4465,4457,4388,4378,4332,4242,4214,4208,4203,4182,4180,4052,4035,3929,3868,3856,3847,3836,3830,3798,3793,3784,3780,3779,3715,3709,3675,3642,3627,3588,3567,3497,3494,3457,3446,3414,3399,3398,3395,3392,3389,3350,3311,3300,3297,3276,3269,3245,3216,3200,3185,3171,3170,3169,3148,3118,3093,3046,3040,3033,3024,2962,2936,2908,2888,2875,2865,2847,2822,2812,2769,2748,2737,2724,2712,2700,2700,2662,2635,2618,2606,2604,2554,2553,2510,2476,2463,2461,2439,2437,2339,2228,2198,2197,2178,2164,2156,2146,2144,2137,2136,2124,2104,2080,2067,2060,2025,1996,1980,1934,1931,1925,1897,1873,1866,1855,1835,1824,1790,1767,1764,1752,1731,1686,1683,1677,1665,1660,1654,1649,1646,1629,1584,1582,1579,1574,1552,1548,1541,1539,1508,1503],[10799,10746,10721,10275,9032,8853,8540,8200,7821,7776,7755,7705,7532,7524,7511,7446,7032,7004,6473,6472,6372,6199,6169,6142,6077,6063,6052,5966,5813,5784,5630,5584,5578,5577,5576,5517,5381,5263,5263,5238,5195,5131,5112,5039,5007,4952,4939,4902,4893,4877,4834,4778,4731,4658,4625,4623,4613,4508,4489,4479,4452,4397,4366,4313,4298,4297,4274,4271,4250,4210,4189,4169,4166,4160,4130,4122,4024,3985,3955,3949,3949,3939,3936,3921,3914,3894,3876,3875,3859,3854,3794,3774,3769,3739,3725,3718,3716,3698,3696,3686,3644,3638,3635,3576,3570,3547,3531,3530,3500,3498,3496,3487,3483,3479,3452,3438,3411,3407,3369,3343,3291,3228,3211,3140,3137,3120,3114,3101,3086,3075,3070,3057,3044,3041,3031,3026,3026,3018,3013,3001,2982,2947,2938,2912,2905,2889,2886,2866,2852,2835,2832,2823,2812,2799,2796,2786,2777,2765,2763,2763,2759,2746,2740,2735,2718,2704,2703,2702,2686,2653,2647,2643,2641,2606,2592,2588,2587,2563,2557,2549,2549,2548,2539,2534,2519,2508,2497,2494,2481,2479,2478,2457,2454,2451,2447,2447,2445,2444,2441,2441,2431,2416,2407,2400,2391,2389,2385,2371,2343,2329,2312,2303,2295,2291,2289,2281,2265,2260,2259,2250,2233,2228,2220,2220,2219,2213,2210,2201,2197,2192,2187,2164,2153,2144,2135,2126,2123,2122,2115,2112,2094,2091,2084,2082,2082,2081,2081,2076,2057,2057,2052,2044,2038,2034,2013,2007,2006,1998,1991,1986,1979,1969,1964,1962,1955,1951,1946,1936,1930,1920,1906,1906,1905,1904,1900,1896,1896,1890,1890,1889,1888,1884,1883,1879,1878,1874,1871,1871,1870,1866,1865,1859,1857,1854,1851,1839,1834,1833,1827,1826,1825,1821,1807,1806,1799,1794,1785,1775,1771,1769,1767,1760,1757,1749,1743,1741,1730,1723,1711,1710,1708,1702,1701,1701,1700,1692,1688,1688,1682,1680,1679,1677,1673,1665,1662,1658,1656,1649,1647,1643,1634,1631,1627,1625,1623,1623,1622,1617,1612,1594,1587,1583,1581,1575,1570,1568,1567,1560,1558,1546,1542,1539,1538,1534,1533,1532,1524,1512,1511,1507],[20465,18906,18135,17814,16927,16376,16292,15745,15557,14910,14619,14530,14100,13318,13275,13161,13126,13097,12940,12871,12681,12573,11822,11541,11476,11284,11229,10576,10561,10260,10181,9937,9923,9862,9759,9715,9644,9524,9388,9268,9153,9122,8901,8824,8803,8782,8705,8695,8601,8532,8532,8273,8232,8210,8186,8115,7963,7922,7910,7783,7775,7768,7743,7671,7649,7509,7418,7409,7359,7267,7167,7088,7044,7038,6997,6972,6965,6924,6921,6904,6884,6777,6687,6622,6596,6517,6511,6430,6422,6372,6337,6294,6288,6156,6089,6053,5997,5927,5851,5842,5776,5768,5767,5686,5651,5592,5525,5485,5480,5447,5443,5420,5415,5413,5398,5390,5385,5356,5292,5249,5184,5164,5163,5096,4981,4970,4941,4931,4927,4925,4874,4861,4789,4731,4701,4587,4536,4530,4504,4445,4444,4398,4392,4379,4378,4349,4277,4266,4253,4198,4166,4130,4125,4049,4047,4047,4032,4017,4004,3965,3924,3922,3882,3834,3787,3751,3726,3661,3624,3587,3542,3508,3506,3473,3415,3389,3381,3379,3368,3330,3316,3305,3300,3292,3264,3212,3211,3203,3168,3116,3116,3105,3103,3074,3069,3059,3046,3042,3038,2988,2941,2934,2926,2901,2880,2856,2836,2835,2771,2725,2715,2697,2658,2654,2599,2581,2567,2555,2542,2541,2520,2515,2503,2493,2486,2448,2445,2425,2399,2387,2364,2352,2347,2340,2339,2334,2333,2296,2291,2280,2269,2241,2239,2229,2223,2203,2194,2193,2193,2177,2175,2172,2168,2166,2147,2144,2105,2104,2086,2083,2055,1958,1952,1941,1937,1922,1907,1902,1868,1835,1820,1781,1775,1771,1735,1729,1715,1685,1676,1673,1670,1640,1639,1625,1604,1582,1574,1572,1510,1505],[30634,30113,25779,24864,24736,23133,23088,21814,20158,19931,18924,18843,17656,17330,16025,15449,14672,14300,14103,14045,13974,13668,13393,13096,13074,12449,12226,12140,12064,12041,12041,12003,11868,11684,11559,11509,11275,11248,10666,10622,10611,10591,10532,10365,10321,10138,10123,10043,9897,9459,9377,9285,9259,9142,9100,8625,8420,8275,8232,8205,8170,8165,8156,8127,8120,8038,7985,7936,7853,7819,7760,7531,7514,7486,7363,7354,7288,7282,7179,7061,6976,6952,6940,6822,6738,6686,6659,6612,6603,6562,6526,6298,6269,6243,6208,6044,6030,6003,5953,5853,5826,5824,5822,5819,5805,5741,5732,5606,5528,5467,5443,5435,5353,5332,5314,5279,5202,5200,5113,5080,5079,4990,4920,4919,4761,4690,4671,4660,4634,4626,4623,4600,4598,4592,4556,4550,4519,4515,4497,4470,4452,4427,4417,4394,4342,4314,4308,4272,4250,4227,4220,4199,4193,4178,4165,4133,4128,4128,4121,4094,4063,3927,3889,3854,3766,3758,3756,3735,3729,3713,3685,3683,3575,3548,3541,3508,3476,3437,3375,3371,3361,3180,3162,3158,3152,3149,3136,3133,3108,3060,3038,3006,3002,2998,2924,2914,2845,2823,2812,2809,2727,2699,2681,2679,2659,2594,2539,2538,2490,2478,2455,2439,2437,2436,2409,2370,2362,2316,2305,2297,2297,2294,2288,2284,2277,2242,2236,2207,2207,2203,2185,2180,2161,2140,2118,2116,2116,2089,2075,2071,2062,2048,2037,2029,1991,1962,1957,1910,1894,1873,1853,1853,1848,1822,1804,1803,1794,1762,1761,1755,1754,1699,1695,1693,1681,1664,1663,1658,1655,1627,1614,1600,1590,1586,1567,1564,1562,1546,1533,1529,1527,1512],[89712,78364,74347,62372,60157,59266,57623,49610,48620,46875,46569,45670,44521,42408,41450,39986,35967,33457,31690,31496,30181,24641,23992,23095,22346,20996,20979,20769,20746,18566,18376,18165,18062,17758,17644,17422,16561,15959,15785,14250,13824,13816,13779,13619,13523,13275,13091,12986,12963,12941,12776,12765,12002,11634,9256,9253,9214,9033,8798,8775,7887,7821,7653,6921,6043,5448,5346,5109,4976,4919,4723,4614,4565,4273,3813,3541,3458,3325,2812,2652,2578,2437,2356,2324,1868,1562],[21163,14482,14160,14113,12636,11793,11488,11336,10623,10503,10368,9144,9134,9079,8951,8777,8756,8683,8274,8005,7765,7760,7702,7664,7643,7394,7394,7347,7296,7269,7244,7231,7155,7134,6991,6938,6834,6783,6774,6754,6686,6622,6513,6421,6375,6361,6299,6253,6244,6161,6016,5932,5834,5807,5768,5721,5688,5658,5648,5622,5580,5567,5508,5477,5463,5445,5417,5415,5406,5355,5276,5276,5234,5213,5205,5201,5193,5184,5169,5094,5089,5065,5058,5016,4954,4917,4916,4888,4840,4831,4827,4826,4818,4800,4740,4696,4675,4675,4659,4590,4584,4560,4539,4530,4526,4467,4465,4459,4459,4445,4435,4433,4423,4415,4401,4335,4290,4279,4277,4238,4209,4202,4190,4184,4162,4159,4129,4086,4080,4061,3947,3932,3892,3881,3801,3796,3795,3678,3674,3643,3635,3631,3621,3585,3552,3531,3531,3514,3508,3497,3477,3456,3452,3404,3397,3374,3298,3282,3277,3269,3261,3246,3242,3236,3206,3181,3181,3163,3158,3142,3141,3129,3100,3083,3077,3060,3056,3018,3017,3007,3005,2997,2945,2944,2933,2931,2916,2900,2900,2877,2869,2865,2852,2808,2799,2786,2776,2768,2754,2743,2730,2722,2719,2705,2694,2687,2655,2623,2620,2605,2599,2596,2582,2555,2548,2542,2541,2532,2531,2468,2466,2459,2450,2433,2416,2384,2381,2379,2361,2357,2355,2351,2343,2336,2335,2335,2328,2318,2315,2302,2260,2258,2250,2226,2201,2198,2192,2186,2179,2172,2169,2161,2158,2157,2156,2153,2148,2147,2139,2128,2117,2112,2109,2098,2097,2097,2092,2092,2083,2074,2068,2053,2052,2050,2041,2039,2030,2023,2019,2019,2005,1998,1974,1967,1966,1966,1965,1949,1938,1929,1921,1920,1919,1910,1901,1898,1891,1888,1884,1875,1870,1869,1869,1861,1851,1850,1843,1835,1828,1825,1821,1817,1810,1808,1805,1798,1777,1777,1769,1767,1760,1750,1746,1742,1722,1716,1715,1709,1708,1701,1698,1694,1687,1685,1683,1679,1662,1653,1650,1646,1640,1639,1634,1628,1586,1585,1579,1578,1570,1570,1554,1533,1530,1524,1518,1514,1508,1506],[55498,52940,47294,46920,46226,40391,38274,37754,37622,35797,33741,28736,28516,27733,26446,25881,24641,24606,24423,23979,23758,23748,22877,21307,20921,19784,18762,18725,18576,18151,17925,17911,17366,17093,16827,15954,15325,15219,15084,14905,14673,14619,14455,14316,14209,14017,13907,13809,13695,13662,13554,13454,13281,12945,12360,12174,12126,12094,11500,11481,11105,10869,10713,10563,9934,9821,9743,9624,9593,9201,8920,8851,8389,8348,8314,8220,8213,8028,8023,7963,7931,7865,7830,7795,7535,7136,7004,6924,6907,6841,6636,6434,6405,6240,6123,6091,6036,5989,5872,5798,5714,5443,5339,5277,5116,4910,4877,4765,4738,4536,4506,4434,4399,4370,4198,4184,4176,4161,4126,4037,3999,3916,3808,3780,3754,3730,3715,3568,3532,3519,3458,3372,3328,3261,3211,3138,3087,3024,3017,2993,2959,2871,2781,2714,2708,2677,2671,2602,2580,2538,2538,2391,2370,2341,2337,2271,2191,2186,2157,2076,2044,2040,2029,2012,2010,1989,1974,1916,1910,1906,1858,1846,1826,1810,1805,1723,1717,1700,1668,1661,1658,1640,1605,1559,1530],[21285,20425,19761,18148,15600,15153,15036,15020,14754,14639,14536,14483,13957,13560,13551,13255,13052,12839,12440,12101,11740,11561,11015,10949,10861,10441,10225,9902,9850,9763,9758,9604,9569,9553,9544,9502,9310,9163,9005,8744,8661,8643,8594,8473,8430,8412,8355,8352,8344,8280,8113,8087,7860,7854,7850,7822,7797,7719,7713,7685,7648,7588,7481,7399,7374,7349,7336,7296,7087,7003,6972,6925,6872,6817,6806,6786,6768,6759,6739,6697,6671,6641,6566,6487,6485,6395,6282,6221,6116,5973,5915,5898,5884,5692,5662,5615,5601,5555,5482,5445,5432,5393,5334,5322,5303,5281,5270,5204,5197,5152,5132,5121,5111,5007,4947,4939,4889,4830,4781,4768,4740,4621,4561,4551,4507,4504,4503,4486,4442,4422,4420,4399,4393,4366,4298,4289,4256,4245,4184,4102,4102,4088,4075,4073,4043,4038,4015,4002,3931,3906,3886,3823,3820,3813,3771,3758,3709,3706,3706,3577,3563,3554,3538,3489,3470,3453,3447,3439,3427,3416,3401,3392,3387,3374,3371,3306,3285,3278,3277,3277,3242,3222,3216,3204,3195,3189,3140,3114,3108,3107,3047,3030,3016,3014,3006,2999,2996,2980,2957,2945,2918,2856,2856,2789,2778,2767,2744,2684,2657,2651,2612,2601,2588,2561,2557,2544,2529,2526,2491,2472,2459,2443,2440,2414,2395,2392,2385,2358,2356,2340,2330,2327,2323,2321,2320,2278,2272,2268,2224,2222,2199,2181,2181,2125,2107,2094,2080,2071,2069,2057,2057,2047,2031,2026,2025,2007,1970,1948,1944,1939,1936,1926,1895,1892,1884,1866,1850,1838,1829,1819,1814,1809,1803,1789,1767,1760,1755,1755,1735,1735,1731,1650,1640,1600,1591,1570,1552,1549,1536,1513],[12110,9439,8157,7794,7698,7200,6887,6812,6760,6642,6533,6055,6048,6008,5986,5780,5684,5650,5594,5585,5572,5551,5523,5503,5480,5471,5314,5303,5232,5026,5011,4986,4976,4833,4813,4808,4787,4762,4714,4607,4595,4568,4522,4498,4344,4338,4311,4310,4297,4256,4248,4178,4130,4079,4060,4031,4017,4012,3957,3945,3914,3841,3834,3825,3792,3790,3787,3759,3683,3653,3645,3616,3615,3552,3528,3517,3503,3480,3476,3472,3448,3426,3410,3401,3343,3298,3291,3271,3262,3259,3225,3223,3217,3214,3211,3203,3194,3165,3156,3151,3132,3121,3118,3112,3072,3065,3064,3027,3023,3018,3015,3009,3006,2995,2984,2975,2955,2954,2938,2928,2928,2927,2927,2927,2917,2915,2905,2897,2890,2888,2887,2863,2811,2795,2790,2783,2765,2750,2744,2717,2716,2681,2674,2662,2646,2645,2644,2641,2600,2582,2577,2577,2554,2547,2547,2538,2537,2524,2519,2497,2492,2485,2479,2472,2468,2449,2440,2433,2431,2423,2422,2422,2404,2395,2392,2387,2382,2381,2381,2372,2370,2366,2360,2349,2345,2342,2324,2324,2309,2307,2305,2294,2292,2290,2285,2274,2274,2250,2250,2234,2225,2221,2211,2206,2204,2201,2201,2190,2190,2187,2185,2181,2176,2168,2166,2142,2141,2140,2138,2136,2135,2132,2131,2128,2117,2091,2078,2060,2058,2047,2040,2036,2033,2026,2019,2011,2008,1998,1997,1989,1989,1977,1968,1964,1949,1945,1944,1939,1932,1924,1924,1916,1892,1892,1885,1884,1883,1881,1880,1872,1872,1865,1864,1862,1858,1858,1847,1841,1839,1838,1835,1834,1830,1826,1808,1808,1803,1795,1793,1789,1787,1785,1784,1780,1768,1752,1751,1750,1742,1741,1740,1731,1731,1721,1721,1719,1713,1711,1709,1707,1707,1707,1704,1703,1697,1689,1689,1682,1679,1670,1669,1665,1662,1655,1653,1651,1647,1646,1643,1637,1630,1630,1628,1626,1618,1618,1611,1611,1602,1600,1595,1594,1592,1589,1588,1580,1576,1576,1575,1569,1562,1561,1557,1552,1545,1545,1544,1542,1539,1530,1528,1521,1519,1512,1509,1508,1506,1504,1503,1502],[57258,54411,46371,40068,37877,36178,33940,32178,24490,23233,23193,23125,23097,20430,19548,19382,19366,18737,18716,17705,16514,16067,15869,15855,15676,15670,15158,13712,13526,13378,13082,12261,12056,12016,11792,11455,11357,11260,11093,10874,10714,10657,10605,10057,10023,9972,9761,9463,9349,8924,8904,8764,8492,8444,8404,8223,8124,8059,8028,8009,8000,7909,7819,7744,7421,7262,7208,7197,7154,7154,7151,6888,6603,6597,6570,6503,6483,6378,6180,6108,5952,5879,5827,5576,5196,5089,5054,4791,4750,4745,4739,4694,4598,4567,4401,4369,4314,4309,4187,4160,4125,4048,3991,3916,3891,3864,3479,3431,3370,3355,3310,3215,3186,3181,3088,3073,3073,3063,3034,2879,2873,2860,2753,2745,2745,2688,2685,2668,2652,2627,2608,2584,2444,2436,2415,2351,2301,2088,2056,2020,2004,1955,1933,1882,1848,1751,1747,1747,1715,1692,1678,1660,1615,1599,1592,1513,1473,1427,1355,1353,1305,1291,1286,1236,1096,1090,1051,1001],[8911,8191,6650,6161,6051,5877,5744,5367,5272,5253,5167,5120,5056,4845,4694,4630,4629,4475,4338,4257,4240,4198,4185,4181,4174,4172,4168,4159,4155,4110,4065,3990,3940,3927,3879,3850,3812,3750,3714,3691,3690,3686,3673,3587,3562,3560,3514,3469,3464,3459,3448,3422,3412,3361,3354,3351,3314,3256,3246,3241,3236,3171,3153,3153,3144,3143,3130,3129,3111,3101,3073,3056,3009,2996,2975,2970,2907,2889,2885,2882,2879,2872,2851,2844,2837,2836,2819,2813,2806,2804,2804,2800,2786,2777,2771,2765,2743,2730,2728,2724,2723,2713,2700,2690,2675,2652,2648,2626,2591,2576,2557,2550,2523,2521,2520,2496,2488,2482,2475,2467,2459,2442,2430,2407,2403,2396,2386,2372,2360,2356,2352,2350,2348,2337,2333,2329,2327,2322,2320,2308,2305,2303,2296,2294,2285,2283,2282,2272,2272,2267,2267,2247,2237,2234,2228,2198,2170,2170,2162,2159,2155,2154,2152,2152,2139,2133,2131,2125,2124,2123,2119,2109,2107,2095,2093,2087,2079,2078,2076,2072,2071,2061,2058,2055,2053,2053,2051,2039,2036,2036,2024,2023,2023,2022,2022,2020,2020,2018,2016,2012,2010,2010,1996,1991,1991,1983,1971,1956,1955,1946,1936,1934,1919,1919,1908,1899,1899,1892,1884,1881,1878,1875,1869,1866,1855,1852,1848,1842,1842,1832,1828,1822,1814,1811,1807,1806,1806,1800,1799,1799,1797,1794,1793,1792,1789,1777,1776,1774,1771,1764,1755,1750,1744,1731,1730,1720,1719,1717,1716,1711,1710,1709,1706,1705,1702,1701,1697,1692,1691,1683,1681,1679,1677,1669,1666,1665,1663,1661,1653,1653,1648,1638,1636,1635,1630,1629,1627,1626,1624,1620,1620,1618,1616,1610,1601,1595,1594,1589,1586,1582,1581,1574,1567,1565,1562,1561,1559,1559,1557,1552,1549,1543,1541,1537,1535,1534,1532,1528,1519,1518,1511,1508,1502,1502,1500,1500],[178357,162813,154047,135418,119694,105726,92382,79930,73542,60158,46192,44113,24677,24643,23718,22032,13776,13603,10751,8829,5931],[10108,9762,9484,9321,8699,8476,8160,7861,7779,7739,7632,7582,7190,6812,6796,6429,6387,6363,6181,6038,5814,5782,5741,5683,5531,5467,5441,5290,5265,5249,5199,5189,5179,5078,4977,4927,4918,4866,4856,4796,4757,4711,4663,4592,4577,4577,4554,4482,4450,4446,4421,4415,4382,4373,4352,4320,4284,4273,4243,4226,4216,4199,4172,4153,4142,4137,4126,4113,4082,4075,3953,3945,3930,3925,3917,3913,3894,3894,3856,3806,3806,3799,3799,3779,3754,3752,3715,3714,3703,3682,3674,3612,3560,3550,3544,3521,3509,3485,3436,3426,3413,3385,3367,3340,3331,3250,3245,3169,3169,3110,3082,3069,3058,3031,3019,3017,3006,2955,2951,2950,2923,2919,2913,2911,2897,2890,2879,2878,2874,2859,2845,2844,2840,2838,2829,2827,2816,2814,2812,2798,2787,2781,2781,2778,2777,2764,2742,2741,2741,2741,2734,2719,2716,2710,2698,2687,2687,2682,2675,2669,2634,2631,2617,2600,2600,2598,2595,2580,2578,2577,2575,2571,2565,2564,2563,2551,2546,2539,2528,2506,2503,2500,2498,2497,2472,2471,2466,2449,2436,2427,2423,2415,2408,2406,2395,2394,2386,2385,2372,2371,2369,2354,2334,2321,2319,2314,2302,2287,2286,2268,2257,2255,2250,2249,2245,2230,2222,2219,2213,2210,2208,2200,2193,2191,2188,2184,2173,2170,2157,2155,2148,2146,2143,2141,2130,2126,2117,2107,2098,2098,2086,2085,2084,2079,2075,2074,2072,2065,2061,2055,2032,2015,2012,2010,2009,2008,2000,1996,1992,1973,1970,1968,1967,1965,1964,1956,1948,1946,1945,1942,1942,1934,1932,1925,1920,1913,1912,1909,1907,1902,1886,1881,1875,1872,1858,1851,1847,1845,1842,1840,1832,1823,1815,1813,1812,1812,1811,1809,1808,1803,1802,1800,1793,1792,1782,1782,1777,1774,1769,1768,1759,1746,1738,1737,1734,1728,1727,1726,1724,1719,1710,1698,1695,1692,1686,1682,1681,1681,1675,1675,1670,1668,1661,1659,1656,1656,1654,1650,1637,1625,1624,1620,1610,1608,1606,1598,1595,1586,1575,1573,1568,1566,1558,1554,1549,1546,1542,1538,1536,1528,1522,1521,1520,1520,1515,1511,1507,1506,1504],[12322,10484,9336,9097,9064,8542,8370,8294,8201,7973,7901,7485,7392,7387,7356,7028,6926,6879,6844,6821,6807,6717,6635,6627,6518,6248,6228,6133,6062,5930,5889,5766,5722,5698,5594,5368,5304,5230,5176,5033,5017,5005,4990,4987,4976,4965,4909,4887,4732,4683,4664,4597,4568,4497,4491,4467,4466,4460,4459,4458,4424,4378,4371,4362,4354,4320,4314,4306,4305,4275,4264,4251,4209,4155,4123,4100,4078,4052,4025,4005,4001,3995,3919,3904,3878,3818,3806,3773,3758,3757,3747,3744,3737,3733,3728,3709,3697,3666,3652,3608,3560,3554,3510,3503,3492,3473,3461,3450,3438,3430,3430,3375,3360,3347,3316,3307,3305,3270,3255,3253,3232,3227,3221,3218,3204,3201,3195,3188,3177,3171,3160,3152,3148,3131,3129,3123,3109,3088,3087,3075,3055,3035,3030,3024,3009,2998,2994,2977,2962,2941,2939,2930,2927,2918,2918,2902,2898,2895,2883,2879,2877,2873,2864,2853,2853,2842,2838,2821,2811,2800,2798,2787,2765,2759,2755,2751,2746,2743,2704,2699,2689,2680,2673,2670,2667,2662,2654,2653,2619,2615,2606,2603,2586,2552,2551,2545,2530,2530,2530,2530,2526,2526,2521,2511,2507,2500,2498,2497,2490,2480,2471,2468,2425,2409,2403,2399,2389,2388,2386,2371,2371,2361,2346,2339,2336,2328,2322,2321,2317,2315,2298,2276,2274,2241,2233,2226,2222,2211,2203,2199,2198,2196,2191,2186,2182,2181,2170,2169,2150,2130,2127,2125,2115,2106,2102,2096,2094,2087,2082,2068,2060,2059,2059,2059,2052,2032,2030,2030,2027,2017,2015,2012,2010,1997,1988,1970,1968,1960,1959,1956,1949,1940,1931,1931,1928,1924,1923,1904,1889,1885,1884,1883,1880,1874,1869,1867,1864,1863,1863,1862,1831,1823,1822,1821,1821,1818,1818,1812,1811,1811,1805,1804,1803,1803,1802,1797,1795,1791,1782,1772,1771,1770,1763,1762,1762,1750,1731,1721,1715,1692,1684,1682,1680,1680,1679,1675,1671,1665,1661,1659,1659,1659,1655,1647,1644,1643,1643,1639,1637,1635,1635,1632,1631,1619,1618,1616,1612,1610,1610,1592,1588,1580,1576,1572,1571,1566,1558,1557,1557,1557,1552,1546,1544,1542,1541,1537,1535,1535,1527,1525,1524,1521,1505,1504,1503],[76340,47152,46986,45474,40683,40526,37757,34977,30831,28728,28164,27579,26035,25694,24462,24432,22865,22051,21986,21819,20704,20265,20091,19824,19404,18928,18476,18281,18143,18063,17390,17348,16169,15968,15672,15375,15014,14724,13919,13585,13476,13343,13017,12915,12747,12746,12266,11856,11824,11821,11670,11326,11055,10633,10582,10503,10403,10390,10206,10053,9899,9611,9578,9550,9501,9351,9245,9207,9180,9016,8895,8585,8462,8456,8334,8056,8042,7961,7470,7337,7280,7256,6970,6957,6821,6797,6642,6519,6455,6401,6376,6310,6175,6062,6045,5977,5775,5722,5650,5625,5568,5513,5450,5244,5186,5102,4880,4787,4559,4520,4450,4349,4300,4286,4165,4056,4027,4004,3804,3780,3623,3616,3411,3396,3327,3258,3186,3101,3028,3026,2987,2924,2750,2735,2717,2704,2647,2532,2484,2460,2374,2332,2189,2126,2084,2051,2035,1992,1960,1943,1654,1529,1503],[270436,210156,163883,162859,138615,135427,105701,100573,92969,83003,79930,60157,43031,31421,24645,21485,14047,13602,13120,10702,5625,2249,1864],[91261,66075,62522,60141,52782,50981,50231,46585,45589,43773,41355,37232,36058,35019,32135,31790,31487,29999,24266,23882,23460,22702,21831,21458,20939,20457,20296,20047,20002,17916,17689,17346,17082,16898,16335,15191,14974,14680,14596,13638,13299,13233,12962,12365,11541,11384,11309,11240,10860,10713,10523,10343,9836,9078,8914,8741,8596,8373,7441,7377,7370,7238,7230,6929,5965,5813,5428,5333,4947,4815,4629,4308,4157,4146,4052,4048,3955,3629,3556,3156,3125,3119,3093,2924,2918,2858,2684,2612,2514,2483,2112,2053,2050,1947,1875,1845,1805,1775,1607,1580,1575,1542],[28771,24472,23393,22318,22128,20829,20292,19848,19403,17637,17465,17275,16267,15833,15636,14973,14964,14102,13930,13141,12934,12830,12792,12565,12285,12241,12012,11802,11694,11626,11256,11243,11241,10706,10617,10524,10480,10475,10343,10303,10181,10104,10101,9994,9983,9889,9697,9481,9442,9094,9073,9040,9015,8964,8895,8669,8645,8620,8289,8223,8153,8015,7820,7797,7795,7718,7511,7438,7433,7053,6987,6925,6893,6878,6606,6592,6469,6296,6241,6020,6009,5867,5842,5826,5815,5770,5741,5709,5698,5670,5550,5513,5505,5497,5437,5359,5342,5337,5309,5303,5123,5084,5076,5002,4959,4937,4901,4889,4874,4854,4819,4808,4800,4718,4684,4636,4617,4543,4504,4482,4430,4419,4375,4357,4321,4316,4200,4123,4113,4088,4038,4021,4005,3976,3953,3925,3912,3888,3818,3796,3724,3663,3658,3625,3537,3524,3520,3518,3513,3508,3474,3438,3437,3436,3418,3401,3336,3278,3277,3272,3249,3224,3162,3142,3112,3095,3084,3079,3046,3040,3027,3001,2993,2981,2965,2955,2896,2896,2886,2874,2847,2842,2811,2793,2773,2772,2753,2752,2740,2734,2657,2630,2568,2568,2559,2536,2528,2464,2449,2439,2439,2438,2413,2357,2350,2327,2322,2315,2308,2301,2298,2283,2276,2242,2183,2174,2157,2103,2057,2042,2039,2016,2008,1961,1919,1906,1906,1866,1853,1831,1830,1821,1819,1779,1751,1748,1709,1701,1695,1671,1650,1649,1636,1608,1606,1600,1595,1586,1581,1575,1535,1534,1528],[27479,14928,13072,12180,11822,10866,10663,10535,10516,10303,10041,9838,9706,9679,9606,9193,9184,8708,8653,8536,8326,8319,8128,8125,7584,7464,7448,7358,7354,7313,7300,7187,7135,7133,7107,7043,7038,7002,6945,6877,6867,6732,6712,6712,6660,6526,6506,6462,6385,6260,6175,6140,6128,6109,6092,6087,6077,6024,5999,5909,5870,5802,5790,5768,5737,5730,5720,5663,5622,5592,5583,5463,5461,5426,5417,5410,5391,5344,5332,5288,5266,5169,5156,5146,5093,5036,5010,4965,4925,4918,4912,4720,4681,4667,4667,4621,4595,4594,4570,4546,4511,4504,4476,4458,4447,4440,4412,4411,4403,4351,4299,4273,4259,4247,4228,4221,4212,4205,4203,4164,4121,4119,4101,4032,4013,4008,3997,3986,3983,3971,3937,3936,3908,3904,3840,3834,3813,3812,3773,3766,3740,3728,3708,3704,3686,3668,3651,3583,3578,3559,3547,3546,3538,3525,3509,3508,3499,3479,3479,3476,3471,3446,3419,3416,3413,3376,3368,3361,3358,3292,3270,3198,3198,3194,3194,3184,3156,3140,3138,3133,3116,3112,3106,3106,3099,3080,3076,3042,3015,3014,3002,2992,2982,2947,2927,2920,2907,2873,2869,2865,2865,2859,2843,2826,2819,2797,2795,2791,2788,2787,2752,2724,2722,2707,2702,2700,2693,2692,2690,2676,2671,2664,2663,2653,2652,2650,2646,2642,2621,2607,2604,2594,2594,2584,2562,2545,2545,2542,2527,2522,2508,2493,2475,2463,2453,2444,2435,2411,2400,2399,2395,2393,2388,2387,2383,2369,2366,2359,2357,2355,2354,2353,2350,2329,2327,2319,2317,2310,2307,2305,2304,2302,2281,2276,2274,2266,2255,2254,2248,2216,2211,2209,2203,2196,2180,2180,2175,2166,2162,2150,2147,2109,2089,2082,2076,2072,2060,2053,2034,2031,2020,2018,2016,2004,1996,1986,1985,1983,1959,1949,1945,1940,1940,1939,1936,1932,1929,1920,1916,1916,1914,1910,1901,1882,1838,1819,1818,1814,1813,1806,1791,1787,1780,1780,1773,1764,1762,1756,1731,1711,1699,1696,1687,1684,1680,1676,1665,1661,1652,1650,1648,1642,1639,1627,1627,1620,1618,1612,1610,1610,1608,1601,1599,1598,1595,1594,1584,1576,1573,1565,1564,1562,1561,1558,1550,1531,1509,1508,1507,1502],[274198,264044,177316,175970,136373,119647,107051,72307,50096,45207,42164,36522,24643,18317,18265,17409,16283,13623,13290,10750,10343,10018,7902,6758,5801,5453,4580,4271,3195,3107,2841,2729],[134741,124694,102364,93752,92533,77140,71502,70378,57134,56488,55534,55497,46585,46573,44867,41135,31568,30646,27848,27193,26408,25676,24642,23212,21591,20796,19923,18813,17375,15534,15104,14894,14119,13623,13299,11396,11195,10826,10704,10556,10343,8232,7245,6408,5453,5389,5344,4891,4647,4450,3464,3164,3125,3107,2967,2659,2605,2576,2460,2274,2266,1852,1828,1657,1619,1595,1580,1574,1501],[275228,221102,190009,136373,130739,124559,107050,77553,47109,46586,40561,39970,34168,24643,18267,17377,13623,13290,10750,10343,8964,8696,8265,5453,5361,4985,4902,3195,3107,2122,1585]]}
{"filenames":["extra_ERR1806394.25","extra_SRR2174313.4","extra_SRR2174314.14","extra_SRR2174315.7","extra_SRR2174317.1","extra_SRR2174320.38","extra_SRR2174321.10","extra_SRR5580761.114","extra_SRR5580762.42","extra_SRR5580763.92","extra_SRR5925326.20","extra_SRR5927679.39","extra_SRR5927681.71","extra_SRR5927682.28","extra_SRR5927686.74","extra_SRR5927689.35","extra_SRR5927690.6","extra_SRR5927696.30","extra_SRR5927698.79","extra_SRR5927701.10","extra_SRR5927702.80","extra_SRR5927704.2","extra_SRR5927705.1","extra_SRR5927707.30","extra_SRR5927708.48","extra_SRR5927709.41","extra_SRR5927712.38","extra_SRR5927714.26","extra_SRR5927715.35","extra_SRR5927718.58","extra_SRR6032568.47","extra_SRR6032569.13","extra_SRR6032570.31","extra_SRR6032571.9","extra_SRR6032572.43","extra_SRR6032575.4","extra_SRR6032579.13","extra_SRR6032581.14","extra_SRR6032583.10","extra_SRR6032588.12","extra_SRR6032598.1","extra_SRR6945401.17","iMGMC_978","single_China_S_Fe11_120417.17","single_China_S_Fe12_120417.16","single_China_S_Fe13_120417.57","single_China_S_Fe14_120416.68","single_China_S_Fe16_120417.26","single_China_S_Fe20_120416.35","single_wildmice_C1220.78","single_wildmice_C1224.60","single_wildmice_C1226.64","single_wildmice_C1231.76","single_wildmice_C1239.77","single_wildmice_C1243.78"],"assemblies_lengths":[1261058,1588491,1592818,921709,1715565,1258814,1705468,1512524,1722771,1724130,1157828,1437591,940345,1447341,1646468,1457995,1282599,1660649,1664649,890881,1492630,898733,813653,1309980,1041628,1433407,933791,1624559,1710463,1021765,1580418,1182854,1566691,1539584,1151626,1583242,1710906,1766800,1371128,1921705,1520996,1018882,1440542,820810,1400332,1095894,1192895,1735981,1785500,1619628,1507544,1455694,1700473,1734133,1635935]}
{"reflen":[1799146]}
{"tickX":1}
{"coord_x":[[0.0,1e-10,1.0334972697528584,1.0334972698528584,1.9966567755012061,1.9966567756012061,2.8355555414580453,2.8355555415580453,3.6136323626669036,3.6136323627669036,4.3884579456297805,4.3884579457297805,5.124506565122302,5.124506565222302,5.855242185529928,5.855242185629928,6.5193670711418505,6.5193670712418506,7.180875106458228,7.180875106558228,7.820496757484588,7.820496757584588,8.447509947996048,8.447509948096048,9.055887992463472,9.055887992563472,9.657129172488498,9.657129172588498,10.255674203724174,10.255674203824174,10.846368684073214,10.846368684173214,11.387580904288304,11.387580904388305,11.921497663073387,11.921497663173387,12.435669096901174,12.435669097001174,12.948095963865262,12.948095963965262,13.44735928085782,13.44735928095782,13.935917301186782,13.935917301286782,14.423047948627264,14.423047948727264,14.904231209032416,14.904231209132416,15.385176573956155,15.385176574056155,15.862553506658694,15.862553506758694,16.334696738770145,16.334696738870143,16.806126284437354,16.806126284537353,17.266612637959554,17.266612638059552,17.726940394494147,17.726940394594145,18.17521477997047,18.17521478007047,18.621586001595485,18.621586001695484,19.06557826840637,19.065578268506368,19.507746669859753,19.50774666995975,19.94642593758574,19.94642593768574,20.382805548991403,20.3828055490914,20.815061638719236,20.815061638819234,21.244542281163913,21.24454228126391,21.673547132645762,21.67354713274576,22.09993513383207,22.099935133932068,22.525292254598916,22.525292254698915,22.94081636213402,22.940816362234017,23.354120111842597,23.354120111942596,23.765758593181282,23.76575859328128,24.17636619410051,24.176366194200508,24.585705019118866,24.585705019218864,24.99496454564342,24.994964545743418,25.40129002789721,25.40129002799721,25.793817572229035,25.793817572329033,26.185948624091836,26.185948624191834,26.577048795535177,26.577048795635175,26.966721594090043,26.96672159419004,27.351081393560012,27.35108139366001,27.731476268339758,27.731476268439756,28.11155394914429,28.11155394924429,28.48639792935773,28.486397929457727,28.85981453668269,28.85981453678269,29.23251745756341,29.23251745766341,29.603951602543262,29.60395160264326,29.97459276258507,29.974592762685067,30.345075325639264,30.345075325739263,30.70834172575726,30.70834172585726,31.069704962023952,31.06970496212395,31.430830302809227,31.430830302909225,31.782836316807,31.782836316906998,32.486134658358296,32.4861346584583,32.83663400097379,32.83663400107379,33.18507158275036,33.18507158285036,33.53144740368801,33.531447403788015,33.876475150230995,33.876475150331,34.22039271786072,34.22039271796072,34.564072390009024,34.564072390109025,34.90680048023168,34.90680048033168,35.24802189907205,35.24802189917205,35.58797454201155,35.58797454211155,35.926737707543985,35.92673770764399,36.26494578361979,36.26494578371979,36.60069560638765,36.600695606487655,36.9361282351803,36.9361282352803,37.27084717752871,37.27084717762871,37.605011030420485,37.60501103052049,37.93727171946096,37.93727171956096,38.26858082657578,38.26858082667578,38.598145366826905,38.59814536692691,38.925886041720524,38.925886041820526,39.249344597948706,39.24934459804871,39.572248064720256,39.57224806482026,39.89467574052898,39.89467574062898,40.216706923868685,40.21670692396869,40.538420913233175,40.53842091333318,40.85815244025255,40.858152440352555,41.177725370284314,41.177725370384316,41.491192316293144,41.491192316393146,41.80378697887012,41.80378697897012,42.11614374596569,42.11614374606569,42.42818331908604,42.42818331918604,42.7386369223303,42.7386369224303,43.04655297377282,43.04655297387282,43.35320024931446,43.35320024941446,43.65976822636231,43.65976822646231,43.96601900943494,43.96601900953494,44.27076312112528,44.27076312122528,44.575427934321816,44.57542793442182,44.88001344902455,44.880013449124554,45.18396457577685,45.18396457587685,45.486805523615885,45.48680552371589,45.7874261136284,45.7874261137284,46.08582634581439,46.08582634591439,46.38375078703755,46.38375078713755,46.67929627344658,46.67929627354658,46.97412807341137,46.97412807351137,47.268563380907146,47.26856338100715,47.561729912502045,47.56172991260205,47.854737847109334,47.854737847209336,48.14703209527238,48.14703209537238,48.436313000670864,48.436313000770866,48.72456302564989,48.724563025749895,49.01265445364131,49.01265445374131,49.29995289669468,49.29995289679468,49.58574466836577,49.58574466846577,49.87121924606164,49.871219246161644,50.15447346593099,50.15447346603099,50.43653820839327,50.436538208493275,50.7159068020662,50.7159068021662,50.99503750025772,50.995037500357725,51.27408889995544,51.27408890005544,51.55084064333282,51.55084064343282,51.8275130882164,51.8275130883164,52.10339254816194,52.103392548261944,52.377210247268565,52.377210247368566,52.64928337951149,52.64928337961149,52.918818959952674,52.918818960052675,53.18819594340625,53.18819594350625,53.454797479576676,53.45479747967668,53.72052673231525,53.72052673241525,53.986176686560015,53.986176686660016,54.25079576038533,54.25079576048533,54.51525623722303,54.51525623732303,54.77955811707312,54.779558117173124,55.04116384813387,55.04116384823387,55.30237308672559,55.30237308682559,55.562313549416444,55.562313549516446,55.82011295277457,55.820112952874574,56.077515863663685,56.077515863763686,56.33483947605899,56.33483947615899,56.59200449146669,56.59200449156669,56.84909020838058,56.84909020848058,57.10546223885024,57.10546223895024,57.36080338890043,57.36080338900043,57.61527225551878,57.615272255618784,57.869344629668106,57.86934462976811,58.122544720385584,58.122544720485585,58.37495182616502,58.37495182626502,58.62616945453738,58.626169454637385,58.87714918742834,58.87714918752834,59.12773242785027,59.12773242795027,59.37807777279078,59.378077772890784,59.62826452074369,59.62826452084369,59.87718249279573,59.877182492895734,60.1247523904531,60.1247523905531,60.369864034802525,60.36986403490253,60.61457918668293,60.61457918678293,60.85889784609431,60.85889784619431,61.10282001303667,61.10282001313667,61.589474869514326,61.58947486961433,61.83196966356821,61.83196966366821,62.073592174190246,62.07359217429025,62.31347011794858,62.313470118048585,62.55326876321311,62.55326876331311,62.79282951299623,62.79282951309623,63.03183517332272,63.03183517342272,63.27036504268638,63.27036504278638,63.508339822593406,63.50833982269341,63.74615600551283,63.74615600561283,63.9829413080128,63.9829413081128,64.21837853611808,64.21837853621808,64.45349857024816,64.45349857034816,64.68703263450215,64.68703263460215,64.92048740026232,64.92048740036232,65.15291128560304,65.15291128570304,65.38525587244996,65.38525587254996,65.61672817586503,65.61672817596504,65.846614509404,65.84661450950401,66.07546996252353,66.07546996262353,66.303532430705,66.303532430805,66.52977103352899,66.52977103362899,66.75537524840253,66.75537524850253,66.98034507532564,66.98034507542565,67.2046012158045,67.2046012159045,67.42735068490109,67.42735068500109,67.64978296002246,67.64978296012247,67.87126365321816,67.87126365331817,68.09250645093248,68.09250645103248,68.31295626370873,68.31295626380873,68.53332677799118,68.53332677809118,68.7530629043232,68.7530629044232,68.9707372698163,68.9707372699163,69.18722215790233,69.18722215800233,69.40362774749457,69.40362774759457,69.61979544160538,69.61979544170538,69.8358838372224,69.8358838373224,70.26734694201218,70.26734694211218,70.69801706186392,70.69801706196392,70.91180580116061,70.91180580126061,71.12392927208741,71.12392927218741,71.33557695205137,71.33557695215137,71.5464316470773,71.5464316471773,71.75688984963419,71.7568898497342,71.96512769436457,71.96512769446457,72.17209676319408,72.17209676329408,72.37851074256696,72.37851074266696,72.58318015507614,72.58318015517614,72.78705658264727,72.78705658274727,72.990695114737,72.990695114837,73.19290627393823,73.19290627403824,73.39472094067045,73.39472094077045,73.59574262246463,73.59574262256463,73.79605061781457,73.79605061791457,73.99572422521406,73.99572422531406,74.19444625068792,74.19444625078792,74.39285108218654,74.39285108228654,74.59085942121615,74.59085942131615,74.78862986476435,74.78862986486435,74.98624171132494,74.98624171142494,75.18226758800944,75.18226758810944,75.37805556921252,75.37805556931252,75.5737642519218,75.5737642520218,75.76820415873021,75.76820415883022,75.96208897608199,75.96208897618199,76.1547843160267,76.15478431612671,76.34740035747761,76.34740035757761,76.53977850344711,76.53977850354711,76.73160155995997,76.73160156005997,76.92263163153478,76.92263163163479,77.11326521064059,77.1132652107406,77.30263001384552,77.30263001394552,77.4911225336186,77.4911225337186,77.67953575489787,77.67953575499787,77.86660090178248,77.86660090188248,78.05342815318566,78.05342815328567,78.23898662868797,78.23898662878797,78.42335562678322,78.42335562688322,78.60709023692804,78.60709023702805,78.79050765309763,78.79050765319764,78.97360787529202,78.97360787539202,79.15631160501738,79.15631160511738,79.33893603624892,79.33893603634893,79.52132257199906,79.52132257209907,79.70259892883594,79.70259892893594,79.88379598717901,79.88379598727902,80.06443795606546,80.06443795616546,80.24492132796429,80.2449213280643,80.42453241643128,80.42453241653128,80.60366771393544,80.60366771403544,80.78193072800775,80.78193072810775,80.95971795111724,80.95971795121724,81.13663289079487,81.13663289089487,81.31275484553447,81.31275484563447,81.66365068061897,81.66365068071897,81.83755227753204,81.83755227763204,82.01137457595131,82.01137457605131,82.18503827738296,82.18503827748296,82.358543381827,82.358543381927,82.53181059078963,82.53181059088963,82.70404691933281,82.70404691943281,82.87620394938219,82.87620394948219,83.04772659148112,83.04772659158112,83.21885274111104,83.21885274121104,83.38974099525953,83.38974099535953,83.56054995091424,83.56054995101424,83.73104171259371,83.73104171269371,83.90113698180417,83.90113698190417,84.06956698264473,84.06956698274473,84.23664890909062,84.23664890919062,84.40285855210466,84.40285855220466,84.56859240415588,84.56859240425588,84.73385046524426,84.73385046534426,84.89871203386363,84.89871203396363,85.06206693110072,85.06206693120072,85.22518393285638,85.22518393295638,85.38774584515542,85.38774584525542,85.54967336950402,85.54967336960402,85.71025281945795,85.71025281955795,85.87035647844905,85.87035647854906,86.19032590094984,86.19032590104985,86.35011236596571,86.35011236606572,86.50918514453737,86.50918514463737,86.82677561222403,86.82677561232403,87.14333519949122,87.14333519959122,87.30018762023634,87.30018762033635,87.45696074248765,87.45696074258765,87.61357526775136,87.61357526785136,87.76995189753366,87.76995189763366,87.92498045292128,87.92498045302128,88.07953321734607,88.07953321744607,88.23392738478326,88.23392738488326,88.54144694375675,88.54144694385676,88.69393794734263,88.69393794744263,88.8462703539409,88.8462703540409,88.99812696957633,88.99812696967633,89.30168160385962,89.30168160395962,89.45266593606321,89.45266593616321,89.75384161553235,89.75384161563235,89.9021297989466,89.9021297990466,90.04994219139802,90.04994219149802,90.34493258835042,90.34493258845042,90.49179339887618,90.49179339897618,90.63817841843913,90.63817841853913,90.78321536360738,90.78321536370738,90.92809371178804,90.92809371188804,91.07265486599347,91.07265486609347,91.2170574232113,91.2170574233113,91.36122208494771,91.36122208504771,91.50522814969652,91.50522814979652,91.6487584234825,91.6487584235825,91.79213010028087,91.79213010038087,91.93518458310403,91.93518458320403,92.07689099153251,92.07689099163251,92.21653563912207,92.21653563922207,92.35610098821783,92.35610098831783,92.49471475538793,92.49471475548793,92.63237694063238,92.63237694073239,92.76956333491401,92.76956333501401,92.90619463973901,92.90619463983901,93.1792986524014,93.1792986525014,93.31513697228834,93.31513697238834,93.58546553766757,93.58546553776758,93.85404953618311,93.85404953628311,94.12199914674821,94.12199914684821,94.25450692989537,94.25450692999537,94.51928460070829,94.51928460080829,94.78334858507698,94.78334858517698,94.9149047862985,94.9149047863985,95.04606449505098,95.04606449515099,95.17682771133445,95.17682771143446,95.30703583816128,95.30703583826129,95.43653027854388,95.43653027864389,95.56570752495126,95.56570752505127,95.69480547286484,95.69480547296484,95.82382412228462,95.82382412238462,95.9527634732106,95.9527634733106,96.08122703317373,96.08122703327373,96.2085011157298,96.2085011158298,96.33553730280447,96.33553730290447,96.46201840042251,96.46201840052251,96.58731002063347,96.58731002073347,96.7118086559064,96.7118086560064,96.8361486941917,96.83614869429171,96.9603301354894,96.9603301355894,97.0844322782933,97.08443227839331,97.2082965256158,97.2082965257158,97.33208147444448,97.33208147454448,97.57957207360803,97.57957207370804,97.7031984254491,97.7031984255491,97.82674547879638,97.82674547889638,97.94989603967463,97.94989603977463,98.07288800356525,98.07288800366526,98.19500768402405,98.19500768412405,98.31696876749523,98.31696876759523,98.4385333584974,98.4385333585974,98.56001865100575,98.56001865110575,98.68134534652648,98.68134534662649,98.80243414656582,98.80243414666582,98.92304715564232,98.92304715574232,99.04358086622503,99.04358086632503,99.16387668132631,99.16387668142632,99.2840931979338,99.2840931980338,99.40375462508464,99.40375462518465,99.5233367537417,99.5233367538417,99.64260168842353,99.64260168852353,99.88097296079958,99.88097296089958,100.0,100.0000000001],[0.0,1e-10,1.3461832644944165,1.3461832645944165,2.67971301064973,2.67971301074973,3.9387066089766956,3.9387066090766956,5.045543223096637,5.045543223196637,6.029495917823897,6.029495917923897,6.989022915458759,6.989022915558759,7.947605620680256,7.947605620780256,8.902285250593174,8.902285250693174,9.790046024812227,9.790046024912227,10.658669139453734,10.658669139553734,11.512687198101846,11.512687198201846,12.362424464476033,12.362424464576034,13.181755515139841,13.181755515239841,14.000834754493415,14.000834754593415,14.77836512765889,14.77836512775889,15.55558073668658,15.55558073678658,16.311707148482427,16.311707148582425,17.056313192835212,17.05631319293521,17.796638444914073,17.79663844501407,18.516755839346903,18.5167558394469,19.226486017232705,19.226486017332704,19.920100271263735,19.920100271363733,20.597472695784866,20.597472695884864,21.274530356168214,21.27453035626821,21.93962697931559,21.93962697941559,22.58470460329961,22.584704603399608,23.22399056714832,23.22399056724832,23.862709955549008,23.862709955649006,24.500988674156794,24.500988674256792,25.12680273290815,25.126802733008148,25.74997277290208,25.749972773002078,26.35771937014437,26.357719370244368,26.958918873320656,26.958918873420654,27.54903867884678,27.54903867894678,28.13657741844304,28.136577418543038,28.72348662976372,28.723486629863718,29.30624095446559,29.306240954565588,29.88855460937456,29.888554609474557,30.465643179596235,30.465643179696233,31.031463193685077,31.031463193785076,31.587147802537125,31.587147802637123,32.137355515391654,32.137355515491656,32.68554873776433,32.68554873786433,33.22530628124427,33.225306281344274,33.76210504182901,33.76210504192901,34.282032444628264,34.282032444728266,34.80139327197951,34.80139327207951,35.32062819367563,35.32062819377563,35.82783912530823,35.82783912540823,36.32674028370321,36.32674028380321,36.81619851796454,36.81619851806454,37.30433474284714,37.30433474294714,37.78926037352431,37.78926037362431,38.27355647592589,38.273556476025895,38.75155729557171,38.75155729567171,39.228487917149046,39.22848791724905,39.70397062369255,39.70397062379255,40.17913856609827,40.17913856619827,40.64731874464508,40.64731874474508,41.1041674142315,41.1041674143315,41.56070131968013,41.56070131978013,42.01566140443981,42.01566140453981,42.466718413890916,42.46671841399092,42.90789182941546,42.907891829515464,43.34881343362978,43.34881343372978,43.78702806625911,43.78702806635911,44.223794783854615,44.22379478395462,44.651496294281806,44.65149629438181,45.07158051257451,45.071580512674515,45.49122406107431,45.491224061174314,45.90721634557577,45.90721634567577,46.31842421518284,46.31842421528284,46.729191414997,46.729191415097,47.13976975632849,47.13976975642849,47.550159239177304,47.550159239277306,47.959982146578106,47.95998214667811,48.369364384186,48.369364384286,48.77855776331122,48.77855776341122,49.18686980285063,49.18686980295063,49.58202470143048,49.58202470153048,49.97403195863244,49.97403195873244,50.365409687558824,50.365409687658826,50.75445816186557,50.75445816196557,51.13740021189922,51.13740021199922,51.51713166772742,51.51713166782742,51.895289302866686,51.89528930296669,52.27256559842014,52.27256559852014,52.6495271298358,52.649527129935805,53.02636275559635,53.026362755696354,53.402946570046666,53.40294657014667,53.776697507256884,53.776697507356886,54.15013368032932,54.15013368042932,54.5227514666435,54.5227514667435,54.89379543226874,54.89379543236874,55.26150289803341,55.261502898133415,55.62574795828242,55.62574795838242,55.988041480877136,55.98804148097714,56.34674669230106,56.34674669240106,56.702115403864426,56.70211540396443,57.05704344563488,57.057043445734884,57.41121605347465,57.41121605357465,57.76268168972943,57.762681689829435,58.1119439770197,58.1119439771197,58.458436339897425,58.45843633999743,58.80285125946575,58.80285125956575,59.14581826400023,59.145818264100235,59.48708554219067,59.48708554229067,59.826590141209486,59.82659014130949,60.16521340064249,60.165213400742495,60.50106673566297,60.50106673576297,60.83540920282205,60.83540920292205,61.16931100018823,61.16931100028823,61.502520316451275,61.502520316551276,61.83472238747339,61.83472238757339,62.166357883047496,62.1663578831475,62.49415325614058,62.49415325624058,62.820689572682504,62.820689572782506,63.14602978550083,63.14602978560083,63.471244092664044,63.471244092764046,63.7947586734832,63.7947586735832,64.11783258450944,64.11783258460945,64.43593322215864,64.43593322225864,64.75340433153225,64.75340433163225,65.07062362959563,65.07062362969563,65.38620615414251,65.38620615424252,65.69725607510524,65.69725607520525,66.00314386420823,66.00314386430823,66.30890574765611,66.30890574775611,66.61082750862296,66.61082750872296,66.9117420243489,66.9117420244489,67.21183815331658,67.21183815341658,67.51174542380159,67.51174542390159,68.10822346491103,68.10822346501104,68.40139478284738,68.40139478294738,68.69444019512858,68.69444019522858,68.98572292823819,68.98572292833819,69.27329144452187,69.27329144462188,69.55796413073791,69.55796413083792,69.84244795847128,69.84244795857128,70.12642816358418,70.12642816368418,70.41034541586953,70.41034541596953,70.69394790401708,70.69394790411708,70.9771726751993,70.9771726752993,71.25989382376105,71.25989382386105,71.54135591577163,71.54135591587163,71.82130713992085,71.82130714002085,72.09918092076065,72.09918092086065,72.37636222049731,72.37636222059731,72.65335466175131,72.65335466185131,72.92669583900695,72.92669583910696,73.74514555008496,73.74514555018496,74.01395412375645,74.01395412385645,74.27558607508635,74.27558607518635,74.53646259248558,74.53646259258558,75.05519389156123,75.05519389166123,75.31223028647943,75.31223028657944,75.56404159671034,75.56404159681034,75.81465680321764,75.81465680331765,76.06439067013915,76.06439067023915,76.3133061503024,76.3133061504024,76.55227508371152,76.55227508381152,76.79105515863797,76.79105515873798,77.02599511108342,77.02599511118342,77.2602425824257,77.2602425825257,77.49310509156174,77.49310509166175,77.72496035545684,77.72496035555685,77.95662676086928,77.95662676096929,78.18797840214393,78.18797840224393,78.41888937362566,78.41888937372566,78.64822652441846,78.64822652451846,78.87743776955614,78.87743776965614,79.10627129772847,79.10627129782847,79.33447529762523,79.33447529772523,79.56060185421258,79.56060185431258,79.78628774100703,79.78628774110703,80.0093925618716,80.00939256197161,80.23136423184016,80.23136423194016,80.67486690198433,80.67486690208433,80.8962090436773,80.8962090437773,81.11604031750888,81.11604031760888,81.3325350914799,81.3325350915799,81.54733013910686,81.54733013920686,81.75960707363151,81.75960707373152,81.97068790443257,81.97068790453257,82.18113920695805,82.18113920705805,82.39114983969063,82.39114983979063,82.60034208566495,82.60034208576495,82.7999655018505,82.7999655019505,82.99940005955338,82.99940005965338,83.19763851353265,83.19763851363265,83.39581401468438,83.39581401478438,83.78914328126505,83.78914328136506,83.98410818821132,83.98410818831132,84.17901014233004,84.17901014243004,84.37347142665587,84.37347142675587,84.56736613553366,84.56736613563366,84.76113493875634,84.76113493885634,84.95427421370344,84.95427421380344,85.14690986603009,85.14690986613009,85.33614606566861,85.33614606576862,85.52299005785994,85.52299005795994,85.70719003129385,85.70719003139385,85.88943846707346,85.88943846717346,86.06885402561299,86.068854025713,86.24770300870449,86.24770300880449,86.42611132200308,86.42611132210308,86.60376420137099,86.603764201471,86.77682152432718,86.77682152442718,86.94968998880069,86.94968998890069,87.12199187782619,87.12199187792619,87.2932235687832,87.2932235688832,87.46281848622372,87.46281848632373,87.62983233773437,87.62983233783437,87.79281720828132,87.79281720838132,87.95567617317316,87.95567617327316,88.11803151544453,88.11803151554453,88.28007209357811,88.28007209367811,88.4416720019188,88.4416720020188,88.6030830517768,88.60308305187681,88.7639275261868,88.7639275262868,88.92332408556297,88.92332408566297,89.08253178645646,89.08253178655646,89.40050651845053,89.40050651855053,89.55870697410309,89.55870697420309,89.71659266561787,89.71659266571787,89.87428949864997,89.87428949874997,90.03154566188918,90.03154566198918,90.1886129666457,90.18861296674571,90.34442121485108,90.34442121495108,90.49978879326355,90.49978879336355,90.65465274905554,90.65465274915555,90.80945375202,90.80945375212,91.11899280512134,91.11899280522134,91.27033140257011,91.27033140267011,91.42104047174331,91.42104047184331,91.57067934284802,91.57067934294803,91.7175482895402,91.7175482896402,91.8642283777497,91.8642283778497,92.01065665464897,92.01065665474897,92.156833120238,92.156833120338,92.30149871796567,92.30149871806567,92.44591250438309,92.44591250448309,92.58963380969737,92.58963380979738,92.7328514923912,92.7328514924912,92.87575441094725,92.87575441104725,93.16086776695619,93.16086776705619,93.3015673365477,93.30156733664771,93.44094489676051,93.44094489686051,93.57950407021507,93.57950407031507,93.71768552670427,93.71768552680427,93.85561517188326,93.85561517198326,93.99272643030397,93.99272643040398,94.12681595300194,94.12681595310194,94.2605907115621,94.2605907116621,94.3941766116396,94.3941766117396,94.52713298344152,94.52713298354152,94.65883029869228,94.65883029879228,94.7873170197376,94.7873170198376,94.91479649554199,94.914796495642,95.03849880169292,95.03849880179293,95.16125681543049,95.16125681553049,95.28325939523737,95.28325939533737,95.40375110718286,95.40375110728286,95.52380214933544,95.52380214943544,95.64297185190222,95.64297185200222,95.76188974315876,95.76188974325876,95.88011515331218,95.88011515341218,95.99708150691443,95.99708150701443,96.11215927568995,96.11215927578995,96.2271740916379,96.22717409173791,96.34149642648275,96.34149642658275,96.45493742174176,96.45493742184176,96.56749707741498,96.56749707751499,96.67993082743308,96.67993082753308,96.79230162462362,96.79230162472362,96.90385403505591,96.90385403515592,97.01477691721263,97.01477691731263,97.125322082404,97.125322082504,97.23479704952688,97.23479704962688,97.34402020533953,97.34402020543953,97.45280269135928,97.45280269145928,97.56127041324125,97.56127041334125,97.66948632381298,97.66948632391298,97.7775763287296,97.7775763288296,97.88554042799109,97.88554042809109,97.99281204614945,97.99281204624945,98.09989480582514,98.09989480592515,98.20515193350167,98.20515193360167,98.30927591028215,98.30927591038215,98.41327398140751,98.41327398150752,98.51676842991242,98.51676843001242,98.61994811427952,98.61994811437953,98.72306484581908,98.72306484591908,98.82498547363504,98.82498547373504,99.02794538968115,99.02794538978115,99.12816629115305,99.12816629125305,99.22813538131471,99.22813538141472,99.32709722623547,99.32709722633547,99.42467410894994,99.42467410904995,99.52118079359593,99.52118079369593,99.61749861975926,99.61749861985926,99.71356463461234,99.71356463471234,99.80931588532765,99.80931588542765,99.90475237190516,99.90475237200516,100.0,100.0000000001],[0.0,1e-10,1.9710977650930614,1.9710977651930615,3.8490273213888844,3.8490273214888844,5.124377047471839,5.124377047571839,6.236305717288479,6.236305717388479,7.283380775455828,7.283380775555828,8.290087128598497,8.290087128698497,9.291645373168812,9.291645373268812,10.132858870253852,10.132858870353852,10.906770265027141,10.906770265127141,11.661595988995604,11.661595989095604,12.412843149688163,12.412843149788163,13.152726802434428,13.152726802534428,13.884072128768008,13.884072128868008,14.602233274611413,14.602233274711413,15.295595604770915,15.295595604870915,15.987639516881401,15.987639516981401,16.668633830104884,16.668633830204882,17.336255617402617,17.336255617502616,18.002684550275045,18.002684550375044,18.657436066141894,18.657436066241893,19.309864654969996,19.309864655069994,19.96135151662023,19.961351516720228,20.607878615133682,20.60787861523368,21.25428015002342,21.254280150123417,21.881784359543904,21.881784359643902,22.50275926063116,22.502759260731157,23.118648834957916,23.118648835057915,23.725874519248276,23.725874519348274,24.331091185559178,24.331091185659176,24.93442439751434,24.93442439761434,25.537443700410215,25.537443700510213,26.13456151299144,26.134561513091437,26.7268451260596,26.7268451261596,27.317119721148305,27.317119721248304,27.904694698327116,27.904694698427114,28.48435916721182,28.48435916731182,29.05743154585144,29.057431545951438,29.629059942818326,29.629059942918325,30.193405649609687,30.193405649709685,30.754675047620005,30.754675047720003,31.29089450269899,31.290894502798988,31.808091068785007,31.808091068885005,32.32465981675245,32.32465981685245,32.83928232855229,32.83928232865229,33.35183304056082,33.35183304066082,33.861684134659455,33.86168413475946,34.36977733802606,34.36977733812606,34.873601378186336,34.87360137828634,35.370770546289656,35.37077054638966,35.851302534250614,35.851302534350616,36.326372504579936,36.32637250467994,36.8010657840381,36.8010657841381,37.268978627815606,37.26897862791561,37.73161779939704,37.731617799497045,38.19394306191919,38.193943062019194,38.64816947071166,38.64816947081166,39.09693386187248,39.09693386197248,39.54400314411314,39.54400314421314,39.988623935691336,39.98862393579134,40.427845491449744,40.427845491549746,40.85978435703263,40.85978435713263,41.2896514228242,41.2896514229242,41.71882788868534,41.71882788878534,42.1470626273686,42.1470626274686,42.57196993002339,42.571969930123394,42.996186632747744,42.996186632847746,43.415506354147176,43.41550635424718,43.83413547561617,43.834135475716174,44.249625506492265,44.24962550659227,44.66298095576519,44.662980955865194,45.073762350751934,45.073762350851936,45.4839159276201,45.483915927720105,45.89218605013253,45.89218605023253,46.2980076819825,46.2980076820825,46.69918345975498,46.69918345985498,47.09860134679543,47.09860134689543,47.49638690672757,47.496386906827574,47.89360743035299,47.893607430452995,48.28756329976181,48.28756329986181,48.67863120582515,48.67863120592515,49.06687393035488,49.06687393045488,49.45028245537155,49.45028245547155,49.833125944081495,49.833125944181496,50.21019350610051,50.21019350620051,50.583431377596185,50.583431377696186,50.95459744930055,50.95459744940055,51.32381728483731,51.32381728493731,51.692220956819924,51.692220956919925,52.05277690232029,52.05277690242029,52.412956156949505,52.41295615704951,52.77131473903484,52.771314739134844,53.126408666903565,53.12640866700357,53.4761033589525,53.4761033590525,53.825672487377716,53.82567248747772,54.17398597956578,54.17398597966578,54.521357744575965,54.52135774467597,54.86785056422014,54.86785056432014,55.21340165668645,55.21340165678645,55.55675538573773,55.55675538583773,55.89615386064196,55.89615386074196,56.235112862863176,56.23511286296318,56.573883519648824,56.573883519748826,56.91221470375147,56.91221470385147,57.24878799712208,57.24878799722208,57.58523572686898,57.58523572696898,57.92143232936845,57.92143232946845,58.2484000055248,58.2484000056248,58.57235415471197,58.57235415481197,58.89417372229595,58.894173722395955,59.21379592646492,59.21379592656492,59.53316700338645,59.533167003486454,59.85147078950639,59.851470789606395,60.165882103291146,60.16588210339115,60.47809605366087,60.47809605376087,60.78503633183452,60.78503633193452,61.09128601007774,61.09128601017774,61.39741012469724,61.39741012479724,61.69800943987323,61.698009439973234,61.997980936930645,61.99798093703065,62.29782687036435,62.29782687046435,62.59742167655062,62.59742167665062,62.89588641012344,62.89588641022344,63.19108648947965,63.191086489579654,63.48509371441056,63.48509371451056,63.77822199397546,63.77822199407546,64.07097358266921,64.07097358276921,64.36234397150209,64.36234397160209,64.65145421510806,64.65145421520806,64.94006220421919,64.94006220431919,65.22527997548998,65.22527997558998,65.51005827407776,65.51005827417777,65.79376928186397,65.79376928196398,66.07628743522487,66.07628743532487,66.35855446133833,66.35855446143833,66.64013088752137,66.64013088762137,66.91787762318106,66.91787762328106,67.19386646810872,67.19386646820872,67.46765794962137,67.46765794972137,67.74088439482728,67.74088439492728,68.00594920449166,68.00594920459166,68.26982115973074,68.26982115983074,68.52823109733818,68.52823109743818,68.78645268951004,68.78645268961004,69.0443603726226,69.04436037272261,69.30138911036917,69.30138911046917,69.55760168456158,69.55760168466158,69.81368869513027,69.81368869523027,70.06676217872977,70.06676217882978,70.31588040818222,70.31588040828223,70.56418247408052,70.56418247418053,70.81141724917724,70.81141724927724,71.05789864253167,71.05789864263167,71.30362665414378,71.30362665424379,71.5492291021322,71.5492291022322,71.79326200482416,71.79326200492416,72.03679265302125,72.03679265312125,72.27812593780331,72.27812593790331,72.51870584084308,72.51870584094308,72.75576996241881,72.75576996251881,72.99252017493524,72.99252017503524,73.22920760563981,73.22920760573982,73.46583225453253,73.46583225463253,73.70126404899995,73.70126404909995,73.93531464360649,73.93531464370649,74.16628892943199,74.16628892953199,74.3969493061982,74.3969493062982,74.62754690115254,74.62754690125254,74.85688885986974,74.85688885996974,75.0832800734296,75.08328007352961,75.30935737793018,75.30935737803019,75.53518355518332,75.53518355528333,75.75944018714003,75.75944018724003,75.98319456460186,75.98319456470186,76.20600721488582,76.20600721498582,76.42712475624961,76.42712475634961,76.6473633522474,76.6473633523474,76.8674136028096,76.86741360290961,77.08652212619396,77.08652212629396,77.30399832247,77.30399832257,77.5212233914986,77.5212233915986,77.73819733327976,77.73819733337976,77.95510849324907,77.95510849334907,78.17145461691166,78.17145461701166,78.38604284984223,78.38604284994223,78.59906153747635,78.59906153757635,78.80988286169544,78.80988286179544,79.01706284082677,79.01706284092677,79.22298718372093,79.22298718382093,79.42859761755581,79.42859761765581,79.62962497912505,79.62962497922506,79.83002452257571,79.83002452267571,80.02628046644375,80.02628046654375,80.22241084668808,80.22241084678808,80.41785062700195,80.41785062710196,80.61052800759408,80.61052800769409,80.80295426093879,80.80295426103879,80.99443878710562,80.99443878720562,81.18473045884716,81.18473045894716,81.37433153065824,81.37433153075824,81.56343034797447,81.56343034807448,81.75246638347885,81.75246638357885,81.94037234636977,81.94037234646977,82.12790161838954,82.12790161848955,82.3144263814196,82.3144263815196,82.5001349808955,82.5001349809955,82.68490185319352,82.68490185329352,82.86835030744253,82.86835030754253,83.0511081617611,83.05110816186111,83.41643552496268,83.41643552506268,83.59831443391523,83.59831443401524,83.78006777924408,83.78006777934408,83.95899594303931,83.95899594313931,84.13535005254838,84.13535005264838,84.48755601707163,84.48755601717163,84.66315674483839,84.66315674493839,84.83769018180357,84.83769018190357,85.01178414608574,85.01178414618575,85.18468525594261,85.18468525604261,85.35633072956232,85.35633072966232,85.52791342137017,85.52791342147017,85.69937054955432,85.69937054965432,85.87007429599615,85.87007429609615,86.04071526062613,86.04071526072613,86.21116787982055,86.21116787992055,86.38049042640151,86.38049042650151,86.5484317731216,86.54843177322161,86.7157453017231,86.7157453018231,86.88287048488904,86.88287048498904,87.04911672268896,87.04911672278897,87.21184717902484,87.21184717912485,87.37394981724215,87.37394981734215,87.53517351009343,87.53517351019343,87.69620885750915,87.69620885760915,87.85674195042999,87.85674195053,88.01702391610341,88.01702391620341,88.1746690456788,88.1746690457788,88.33024237546286,88.33024237556286,88.48575292343507,88.48575292353507,88.64069843510056,88.64069843520056,88.79520447408304,88.79520447418304,88.94832931320465,88.94832931330465,89.10088911601953,89.10088911611953,89.25238162803284,89.25238162813284,89.40374857642242,89.40374857652242,89.55304372502069,89.55304372512069,89.70189940093596,89.70189940103596,89.8506295132275,89.8506295133275,89.99879458921232,89.99879458931233,90.1468968833853,90.1468968834853,90.29474805031083,90.29474805041083,90.4420969627415,90.4420969628415,90.58775076625201,90.58775076635202,90.73334178795066,90.73334178805067,91.02420992228868,91.02420992238868,91.16772914419602,91.16772914429602,91.30829762094602,91.30829762104602,91.44880331588418,91.44880331598418,91.58799059277331,91.58799059287331,91.7268011787913,91.72680117889131,91.86448169219584,91.86448169229584,92.0010949147988,92.0010949148988,92.13689197384761,92.13689197394761,92.2713706148474,92.2713706149474,92.40471918323374,92.40471918333374,92.53731436987779,92.53731436997779,92.66947008383883,92.66947008393883,92.80018181612714,92.80018181622714,92.928884530436,92.928884530536,93.05746168112113,93.05746168122113,93.18559935912326,93.18559935922326,93.31285809175938,93.31285809185938,93.44005404258365,93.44005404268366,93.56655939347748,93.56655939357748,93.81919340439397,93.81919340449397,93.94507093716922,93.94507093726922,94.07063456088517,94.07063456098517,94.19594705735369,94.1959470574537,94.32088286295107,94.32088286305107,94.44569310492473,94.44569310502473,94.57025221965095,94.57025221975096,94.6934301345163,94.6934301346163,94.81528963133265,94.81528963143265,95.05894584315345,95.05894584325345,95.18067977634607,95.18067977644607,95.30122085511339,95.30122085521339,95.42144802482142,95.42144802492142,95.54098459459901,95.54098459469901,95.66008169169359,95.6600816917936,95.77880209791702,95.77880209801702,95.8973341587049,95.8973341588049,96.01555231043346,96.01555231053347,96.13333098947902,96.13333098957902,96.25067019584158,96.25067019594158,96.48516026313114,96.48516026323114,96.60193443318697,96.60193443328697,96.71808078512423,96.71808078522423,96.83259480995318,96.83259481005318,96.94666936209913,96.94666936219913,97.06017887793834,97.06017887803834,97.17350004834199,97.173500048442,97.28650730968636,97.28650730978636,97.39907509834771,97.39907509844771,97.5111406325142,97.5111406326142,97.62251556675025,97.62251556685025,97.73351381011516,97.73351381021516,97.8444492716682,97.8444492717682,97.9535012788655,97.9535012789655,98.06223937700352,98.06223937710352,98.17085191151783,98.17085191161783,98.27915053697284,98.27915053707284,98.38726081699227,98.38726081709227,98.60272799528886,98.60272799538886,98.70719693022053,98.70719693032053,98.8107869197862,98.8107869198862,98.91368630942142,98.91368630952142,99.01633457180921,99.01633457190921,99.11728772527684,99.11728772537684,99.21792696968518,99.21792696978518,99.3184406504698,99.3184406505698,99.41832651313584,99.41832651323584,99.51645448506986,99.51645448516986,99.61420576613273,99.61420576623273,99.71145479270074,99.71145479280074,99.80857825564503,99.80857825574503,99.90507390047074,99.90507390057074,100.0,100.0000000001],[0.0,1e-10,1.0963330074893487,1.0963330075893487,1.8136960797822306,1.8136960798822306,2.507515929648078,2.507515929748078,3.176273639510952,3.176273639610952,3.763986247286291,3.763986247386291,4.341391914367767,4.341391914467767,4.899594123524887,4.899594123624887,5.439569321770754,5.439569321870754,5.979002049453786,5.979002049553786,6.515722424322644,6.515722424422644,7.039423505683464,7.039423505783464,7.55824235197877,7.55824235207877,8.063716422428337,8.063716422528337,8.567454587076833,8.567454587176833,9.060777316918898,9.060777317018898,9.553232093860426,9.553232093960426,10.037224330021731,10.037224330121731,10.502447084708948,10.502447084808948,10.966476404157929,10.966476404257929,11.421392218151283,11.421392218251283,11.874789114568697,11.874789114668697,12.327752034535846,12.327752034635846,12.776266695887747,12.776266695987747,13.224672863127083,13.224672863227083,13.670909148115078,13.670909148215078,14.116602962540238,14.116602962640238,14.556655083111915,14.556655083211915,14.995405274332787,14.995405274432787,15.433938477328528,15.433938477428528,15.870301798072928,15.870301798172928,16.304603730678554,16.304603730778553,16.73760373393338,16.737603734033378,17.169735784287667,17.169735784387665,17.601108375853983,17.60110837595398,18.462660123748385,18.462660123848384,18.88980144492459,18.889801445024588,19.315966319087696,19.315966319187694,19.73952733454919,19.73952733464919,20.158748585508008,20.158748585608006,20.57352157785158,20.573521577951578,20.986341676168944,20.986341676268943,21.397534362797803,21.3975343628978,21.808618555314094,21.808618555414093,22.219160277267555,22.219160277367553,22.62178192900362,22.62178192910362,23.023101651388888,23.023101651488886,23.422359985635378,23.422359985735376,23.82129283754417,23.82129283764417,24.21957472477756,24.219574724877557,24.61536124742191,24.615361247521907,25.007567464351546,25.007567464451544,25.399014222493218,25.399014222593216,25.786663686695043,25.78666368679504,26.173987668559164,26.173987668659162,26.55556146245724,26.55556146255724,26.933663444753172,26.93366344485317,27.310788980035998,27.310788980135996,27.685853127180053,27.68585312728005,28.057011486271698,28.057011486371696,28.424047069085795,28.424047069185793,28.788261804973153,28.78826180507315,29.151825576185107,29.151825576285106,29.514846876834227,29.514846876934225,29.877759683370783,29.87775968347078,30.24056399579477,30.240563995894767,30.60065595540458,30.60065595550458,30.958361044537916,30.958361044637915,31.309014016354404,31.3090140164544,31.656846141244145,31.656846141344143,32.00381031323335,32.003810313333354,32.35066599110999,32.35066599120999,32.6969791984238,32.6969791985238,33.041448005823966,33.04144800592397,33.38483187209846,33.38483187219846,33.72810724426039,33.728107244360395,34.0661748990191,34.066174899119105,34.40413405966525,34.404134059765255,34.741116773298295,34.741116773398296,35.07777400459364,35.077774004693644,35.41421424766385,35.41421424776385,35.75011202017122,35.750112020271224,36.08579280445347,36.08579280455347,36.42082262406031,36.42082262416031,36.75292310262783,36.752923102727834,37.084372616519964,37.084372616619966,37.41560514218696,37.415605142286964,37.74553573850315,37.74553573860315,38.07535784070677,38.075357840806774,38.40398650767216,38.40398650777216,38.732506680524985,38.73250668062499,39.05755504177566,39.05755504187566,39.3823864148012,39.382386414901205,39.706783811376475,39.70678381147648,40.030855725614046,40.03085572571405,40.35427667517622,40.354276675276225,40.677263648288125,40.67726364838813,40.99916568027436,40.99916568037436,41.32041674758519,41.320416747685194,41.638846967969286,41.63884696806929,41.95662622367797,41.956626223777974,42.272778067698155,42.27277806779816,42.58784497059267,42.58784497069267,42.899440061885045,42.89944006198505,43.20973322382661,43.20973322392661,43.51861596230481,43.51861596240481,43.82554580675679,43.825545806856795,44.13063125129515,44.13063125139515,44.435174225270664,44.435174225370666,44.73895774045821,44.73895774055821,45.042198785082924,45.042198785182926,45.34522284148251,45.34522284158251,45.64792141554439,45.64792141564439,45.95040300138113,45.950403001481135,46.252342116655036,46.25234211675504,46.55417273781638,46.55417273791638,46.85307401793842,46.85307401803842,47.15186680394788,47.151866804047884,47.44686229601751,47.44686229611751,47.739796399948354,47.739796400048355,48.032513515654074,48.032513515754076,48.32490514902209,48.32490514912209,48.61718828827754,48.61718828837754,48.90925443930785,48.90925443940785,49.49284427080565,49.49284427090565,49.78089613967098,49.78089613977098,50.06873102031118,50.068731020411185,50.35591493627598,50.35591493637598,50.64288186401565,50.64288186411565,50.92681095660344,50.92681095670344,51.210197578628396,51.2101975787284,51.77631985800291,51.77631985810291,52.05818756245193,52.05818756255193,52.339838278675806,52.33983827877581,52.621380500787126,52.62138050088713,52.9007528406471,52.9007528407471,53.17990819228194,53.179908192381944,53.45873806157909,53.45873806167909,53.737459436763665,53.737459436863666,54.01260050623353,54.012600506333534,54.28535470522692,54.285354705326924,54.55778342188261,54.55778342198261,54.8298866562006,54.8298866563006,55.09873506714158,55.098735067241584,55.36714950163229,55.36714950173229,55.63512995967274,55.63512995977274,55.90148300602468,55.90148300612468,56.167510570038914,56.167510570138916,56.43310415760289,56.43310415770289,56.69826376871659,56.698263768816595,56.961795968141786,56.96179596824179,57.225002685229285,57.22500268532929,57.48788391997908,57.487883920079085,57.74859527247754,57.74859527257754,58.0089811426383,58.0089811427383,58.26882454223622,58.26882454233622,58.527040530145634,58.527040530245635,58.785039529829916,58.78503952992992,59.04217057661366,59.04217057671366,59.29875915283457,59.29875915293457,59.55274387035387,59.552743870453874,59.80607762319778,59.80607762329778,60.05908589370398,60.05908589380398,60.31133470542221,60.31133470552221,60.56206459956451,60.56206459966451,60.81236051725653,60.81236051735653,61.06254794083599,61.06254794093599,61.56172935275667,61.56172935285667,61.8103978587602,61.8103978588602,62.05863238831345,62.05863238841345,62.3058904708536,62.3058904709536,62.79845374190769,62.798453742007695,63.039744648256665,63.03974464835667,63.27973362525483,63.27973362535483,63.51961410814042,63.519614108240425,63.75938609691345,63.759386097013454,63.99894109746135,63.99894109756135,64.2382791097841,64.2382791098841,64.47664067509376,64.47664067519376,64.95282133515025,64.95282133525025,65.1905319357845,65.19053193588451,65.42770006585593,65.42770006595593,65.6633492783514,65.6633492784514,66.13302029165388,66.13302029175388,66.36595715133518,66.36595715143518,66.59867702279136,66.59867702289137,66.8302034590093,66.8302034591093,67.06042796587643,67.06042796597643,67.5195750502599,67.5195750503599,67.74838913366366,67.74838913376367,67.97698622884229,67.9769862289423,68.20525784168322,68.20525784178322,68.43309547807388,68.43309547817388,68.6597396792263,68.65973967932631,68.8861668921536,68.8861668922536,69.11237711685575,69.11237711695576,69.33793637688251,69.33793637698251,69.78883790871089,69.78883790881089,70.01407168639994,70.01407168649995,70.23908847586385,70.23908847596385,70.46323731242724,70.46323731252724,70.68630120786496,70.68630120796496,70.90914811507754,70.90914811517754,71.13166953995241,71.13166954005241,71.35408247071473,71.35408247081473,71.5762784132519,71.5762784133519,71.79782339111368,71.79782339121368,72.2403708762744,72.2403708763744,72.46126488946078,72.46126488956078,72.68161643208431,72.68161643218431,72.90142550414502,72.90142550424503,73.12004114096749,73.12004114106749,73.33854828367738,73.33854828377738,73.55694693227473,73.55694693237473,73.77512859264692,73.77512859274692,73.99287627656885,73.99287627666885,74.21040697226564,74.21040697236565,74.64503438720898,74.64503438730898,74.86202261234294,74.86202261244294,75.0786853551392,75.0786853552392,75.51070891138093,75.51070891148093,75.72520177192585,75.72520177202586,75.93958613835821,75.93958613845821,76.15245158721461,76.15245158731462,76.36520854195847,76.36520854205847,76.57742302613948,76.57742302623949,76.78952901620794,76.78952901630794,77.00076705337585,77.00076705347585,77.21189659643119,77.21189659653119,77.42291764537397,77.42291764547397,77.63350471786649,77.63350471796649,77.84365781390873,77.84365781400874,78.0537024158384,78.0537024159384,78.26353002954295,78.26353002964295,78.47314065502235,78.47314065512235,78.68036441002529,78.68036441012529,78.88747967091565,78.88747967101565,79.09426944946833,79.09426944956833,79.30095073390842,79.30095073400842,79.50730653601083,79.50730653611083,79.71322836166296,79.71322836176296,79.91904169320252,79.91904169330252,80.12463803651694,80.12463803661694,80.32969190926855,80.32969190936855,80.53398632323217,80.53398632333217,80.73784676074553,80.73784676084553,81.14545914165967,81.14545914175967,81.3484516262725,81.34845162637251,81.55035916975966,81.55035916985966,81.75161574857141,81.75161574867141,81.95254684504545,81.95254684514545,82.15304396506923,82.15304396516923,82.35299861453018,82.35299861463018,82.552736275766,82.552736275866,82.75214845466411,82.75214845476411,83.15021335367236,83.15021335377236,83.54741029978008,83.54741029988008,83.9442817635501,83.9442817636501,84.34061075675729,84.34061075685729,84.5377445592915,84.5377445593915,84.93179517613477,84.93179517623477,85.12827801399357,85.12827801409357,85.52091820737348,85.52091820747349,85.71664158644431,85.71664158654431,85.91160550672718,85.91160550682719,86.30142485318034,86.30142485328034,86.69081022318323,86.69081022328324,86.88501468467814,86.88501468477814,87.07911065206046,87.07911065216047,87.27288113710509,87.27288113720509,87.46632613981203,87.46632613991203,87.65955415429382,87.65955415439382,87.85256518055047,87.85256518065047,88.04514223035687,88.04514223045688,88.23739379782556,88.23739379792556,88.62157145042524,88.62157145052524,88.8132805473311,88.8132805474311,89.00390470311129,89.00390470321129,89.19431187066634,89.19431187076634,89.38439355588369,89.38439355598369,89.571979876512,89.571979876612,89.75934920891518,89.75934920901518,89.94585058841783,89.94585058851783,90.13213497969532,90.13213497979532,90.31831087686027,90.31831087696027,90.50383580934981,90.50383580944981,90.6888182712765,90.6888182713765,91.05845771279222,91.05845771289222,91.24246372770581,91.24246372780581,91.42603576616915,91.42603576626915,91.60949931051991,91.60949931061991,91.79263737253298,91.79263737263298,92.15858801422141,92.15858801432141,92.34118360567165,92.34118360577165,92.52291124422133,92.52291124432134,92.70398791809562,92.70398791819562,92.88473910963222,92.88473910973222,93.2459160103677,93.2459160104677,93.42590774311633,93.42590774321633,93.60557399352724,93.60557399362725,93.78491476160046,93.78491476170046,93.96393004733598,93.96393004743598,94.14283683895893,94.14283683905893,94.32152664235676,94.32152664245676,94.49956548107917,94.49956548117918,94.85553466441144,94.85553466451144,95.03216307967048,95.03216307977048,95.2085745067044,95.2085745068044,95.55944446674602,95.55944446684602,95.90825303864885,95.90825303874885,96.08216910109373,96.08216910119373,96.25597666942603,96.25597666952604,96.60315782964038,96.60315782974038,96.77631443329727,96.77631443339727,97.12175968771055,97.12175968781055,97.29372285612921,97.29372285622921,97.63688973417858,97.63688973427858,97.80787645558414,97.80787645568414,97.97864618876457,97.97864618886457,98.14919893371986,98.14919893381986,98.3196431845626,98.3196431846626,98.48976195306761,98.48976195316762,98.65955523923495,98.65955523933495,98.8292400312897,98.8292400313897,99.16806714483639,99.16806714493639,99.3368839839906,99.3368839840906,99.5038564232312,99.5038564233312,99.67050338013408,99.67050338023408,99.83573991357359,99.83573991367359,100.0,100.0000000001],[0.0,1e-10,3.419922882548898,3.419922882648898,5.763407390568122,5.763407390668122,7.500794198995666,7.500794199095666,9.036381600230827,9.036381600330827,10.566548046853368,10.566548046953368,12.03469410952077,12.03469410962077,13.321442207086296,13.321442207186296,14.595483120721163,14.595483120821163,15.865968354448826,15.865968354548826,17.078047173963096,17.078047174063094,18.289659674801012,18.28965967490101,19.468396708955943,19.46839670905594,20.6448021497291,20.644802149829097,21.811997796644253,21.81199779674425,22.968468114003258,22.968468114103256,24.09847484647915,24.098474846579148,25.173572554814303,25.1735725549143,26.237478614916952,26.23747861501695,27.2409964064317,27.2409964065317,28.22014904710693,28.220149047206927,29.177617869331677,29.177617869431675,30.086589549215564,30.086589549315562,30.964259587949158,30.964259588049156,31.807655203970704,31.807655204070702,32.6403254904361,32.6403254905361,33.47252945822513,33.472529458325134,34.29983707991245,34.29983708001245,35.12615377441251,35.12615377451251,35.95235388924348,35.952353889343485,36.76188311139479,36.76188311149479,37.549087326915625,37.54908732701563,38.32539134337667,38.325391343476674,39.06608027093115,39.066080271031154,39.797267955454906,39.79726795555491,40.514757528860756,40.51475752896076,41.232013942928425,41.23201394302843,41.94594783642707,41.94594783652707,42.65749184670939,42.65749184680939,43.36384806171728,43.36384806181728,44.06956308854517,44.069563088645175,44.77405402884764,44.77405402894764,45.467703059924865,45.46770306002487,46.161060641829366,46.16106064192937,46.83908799724872,46.83908799734872,47.50749752996826,47.507497530068264,48.16599779081527,48.16599779091527,48.8161043154879,48.8161043155879,49.465686231649634,49.465686231749636,50.11072154071691,50.11072154081691,50.75004444599884,50.75004444609884,51.38528706286267,51.385287062962675,52.01994678138106,52.01994678148106,52.65215832684859,52.652158326948594,53.27492691911994,53.27492691921994,53.89652971470041,53.89652971480041,54.502394254953906,54.50239425505391,55.08663326659147,55.08663326669147,55.6262222649681,55.6262222650681,56.16190584443026,56.16190584453026,56.69263478795615,56.692634788056154,57.21479512580404,57.21479512590404,57.73514847878104,57.735148478881044,58.25264562986538,58.25264562996538,58.76868553508611,58.76868553518611,59.284608860637746,59.28460886073775,59.793712275547705,59.79371227564771,60.28952560818156,60.289525608281565,60.78417314412453,60.78417314422453,61.27689711552754,61.27689711562754,61.76793068172876,61.76793068182876,62.25861450892272,62.25861450902272,62.74481001885676,62.74481001895676,63.228440776070855,63.22844077617086,63.711430345104965,63.71143034520497,64.19290437844093,64.19290437854093,64.66849113848791,64.66849113858791,65.61867373139461,65.61867373149461,66.09006362335441,66.09006362345441,66.5605208779615,66.5605208780615,67.02928772736679,67.0292877274668,67.4918758543104,67.4918758544104,67.9513163301886,67.9513163302886,68.40760915500141,68.40760915510141,68.8600548507343,68.8600548508343,69.31051869209269,69.31051869219269,70.20491791334051,70.20491791344051,70.64669656935179,70.64669656945179,71.08357887926135,71.08357887936135,71.51469049555102,71.51469049565102,71.944869474488,71.944869474588,72.3721922515323,72.3721922516323,72.79619250800756,72.79619250810757,73.2129065351648,73.2129065352648,73.6243161873785,73.6243161874785,74.02989685613777,74.02989685623777,74.42580141236269,74.42580141246269,74.81657646314771,74.81657646324771,75.2020471389892,75.2020471390892,75.58203857038352,75.58203857048352,75.96197171194329,75.9619717120433,76.33619244971773,76.33619244981773,76.69549098984882,76.69549098994882,77.05443979097265,77.05443979107265,77.41163989706016,77.41163989716016,77.76854855397492,77.76854855407493,78.11490675083719,78.1149067509372,78.4581755864686,78.4581755865686,79.14214850501146,79.14214850511146,79.48028783520299,79.48028783530299,79.8101500088892,79.8101500089892,80.13803032820091,80.13803032830091,80.46585235767809,80.46585235777809,80.78976896824078,80.78976896834078,81.10814804452177,81.10814804462177,81.42512816477371,81.42512816487371,82.055707594874,82.055707594974,82.36744163001693,82.36744163011693,82.67696065144719,82.67696065154719,82.98321544214296,82.98321544224297,83.28200913401707,83.28200913411708,83.57683911714217,83.57683911724217,83.86519892863284,83.86519892873284,84.15192662475627,84.15192662485627,84.43585640882158,84.43585640892158,84.71529787562697,84.71529787572698,84.99194143037425,84.99194143047426,85.26846840545244,85.26846840555244,85.54184772946522,85.54184772956522,85.80858201233995,85.80858201243996,86.07158574580386,86.07158574590386,86.33389000125324,86.33389000135324,86.59427069216264,86.59427069226264,86.85296097787027,86.85296097797027,87.10931967019611,87.10931967029612,87.36503717434198,87.36503717444198,87.61620807139339,87.61620807149339,87.86662120059572,87.86662120069572,88.1165680111217,88.1165680112217,88.36400835876228,88.36400835886228,88.60970001136651,88.60970001146651,88.8487466228327,88.84874662293271,89.08359636621171,89.08359636631171,89.31693057389256,89.31693057399256,89.5427453929172,89.5427453930172,89.76739441525095,89.76739441535095,89.98679735247572,89.98679735257572,90.2028194792969,90.20281947939691,90.41138050729643,90.41138050739643,90.61930034711597,90.61930034721597,90.82296502901376,90.82296502911376,91.02464785653706,91.02464785663706,91.22609752472218,91.22609752482218,91.42265084680557,91.42265084690557,91.61815495186717,91.61815495196717,91.81348418742513,91.81348418752513,92.00858026364492,92.00858026374492,92.20251054317383,92.20251054327383,92.39463383783185,92.39463383793185,92.5861159443099,92.5861159444099,92.77724831178067,92.77724831188067,92.96552447735877,92.96552447745877,93.15245997674235,93.15245997684235,93.3393371862914,93.3393371863914,93.52329990411322,93.52329990421322,93.70370694202785,93.70370694212785,93.88335621209339,93.88335621219339,94.05787597671905,94.05787597681905,94.22930638011384,94.22930638021384,94.39951269698321,94.39951269708321,94.56913611550713,94.56913611560714,94.73800176618198,94.73800176628198,94.90197107075511,94.90197107085511,95.05882901551384,95.05882901561384,95.20944994797632,95.20944994807633,95.35464992582618,95.35464992592618,95.49961674433787,95.49961674443787,95.64423382384228,95.64423382394229,95.78803484566309,95.7880348457631,95.93177757764934,95.93177757774934,96.07458767228289,96.07458767238289,96.21681486857099,96.216814868671,96.35653560197369,96.35653560207369,96.48978616374197,96.48978616384197,96.62251211699936,96.62251211709936,96.7541305634004,96.7541305635004,96.88376715542692,96.88376715552693,97.01322887794983,97.01322887804983,97.14234086146547,97.14234086156547,97.27127797547746,97.27127797557746,97.39887442329496,97.39887442339496,97.52507191508337,97.52507191518337,97.64835491514458,97.64835491524458,97.76971435066582,97.76971435076582,97.88938338098528,97.88938338108528,98.00712884676477,98.00712884686477,98.12219298015522,98.12219298025522,98.23102010124944,98.23102010134944,98.33734075945826,98.33734075955826,98.44336996849434,98.44336996859434,98.54934088769589,98.54934088779589,98.65373798136474,98.65373798146474,98.75726072751543,98.75726072761543,98.85961767697522,98.85961767707522,98.96145001792412,98.96145001802412,99.06240801135486,99.06240801145486,99.16260823693652,99.16260823703652,99.26234214384182,99.26234214394182,99.35869524034356,99.35869524044357,99.45341622147805,99.45341622157805,99.54778746360529,99.54778746370529,99.64145922771799,99.64145922781799,99.73262452894528,99.73262452904528,99.82256574364713,99.82256574374713,99.91239037867992,99.91239037877992,100.0,100.0000000001],[0.0,1e-10,1.2518926545144875,1.2518926546144875,2.163067776494383,2.163067776594383,2.9564335954318905,2.9564335955318906,3.7136542809342763,3.7136542810342763,4.421383937579341,4.421383937679341,5.128478075394776,5.128478075494776,5.829375904621334,5.829375904721334,6.508268894372004,6.508268894472004,7.180250616850464,7.180250616950464,7.834278932391918,7.834278932491918,8.484653014663008,8.484653014763008,9.094036132423058,9.094036132523058,9.699367817644227,9.699367817744227,10.30168078842466,10.30168078852466,10.898512409299547,10.898512409399547,11.493834672954065,11.493834673054065,12.079068075188232,12.079068075288232,12.628394663548388,12.628394663648388,13.177482932347433,13.177482932447433,13.721645930216855,13.721645930316855,14.258897660814068,14.258897660914068,14.79122412048166,14.79122412058166,15.322597301904809,15.322597302004809,15.85198448698537,15.85198448708537,16.366834178838175,16.366834178938173,16.879459554787285,16.879459554887283,17.383346546829,17.383346546928998,17.866261417492975,17.866261417592973,18.32915744502365,18.32915744512365,18.786174923380262,18.78617492348026,19.239379288759103,19.2393792888591,19.69004157881943,19.690041578919427,20.131171086435327,20.131171086535325,20.56999683829382,20.56999683839382,21.004532838052324,21.004532838152322,21.43732116102935,21.437321161129347,21.869553405030448,21.869553405130446,22.297972536053777,22.297972536153775,22.719877599073413,22.71987759917341,23.13796954911528,23.137969549215278,23.547561434810863,23.54756143491086,23.952943008260156,23.952943008360155,24.356259145513157,24.356259145613155,24.753935053153207,24.753935053253205,25.15129320137844,25.15129320147844,25.544043838088868,25.544043838188866,25.93663559509189,25.936635595191888,26.327797434728243,26.32779743482824,26.71609943963127,26.71609943973127,27.10400424526578,27.10400424536578,27.490558573387332,27.49055857348733,27.868930596577414,27.868930596677412,28.24650822123046,28.24650822133046,28.999756914047666,28.999756914147664,29.374077504698867,29.374077504798866,29.748080335935253,29.74808033603525,30.122003727317935,30.122003727417933,30.491081287624702,30.4910812877247,30.859046689979614,30.859046690079612,31.22391393804009,31.22391393814009,31.58679518975798,31.586795189857977,31.946975486449944,31.946975486549942,32.30667914401969,32.30667914411969,32.66582672261351,32.66582672271351,33.02068454910734,33.02068454920734,33.36680399169377,33.36680399179377,33.71109631764502,33.711096317745024,34.054912004474055,34.05491200457406,34.39729777393642,34.397297774036424,34.73753866734879,34.73753866744879,35.07515804558894,35.075158045688944,35.412062465145766,35.41206246524577,35.747219207921106,35.74721920802111,36.08166099201312,36.08166099211312,36.41570557683661,36.41570557693661,36.74951184209899,36.74951184219899,37.08300034794656,37.08300034804656,37.41482061686635,37.41482061696635,37.745687607541704,37.745687607641706,38.07425084245965,38.07425084255965,38.39868320498501,38.398683205085014,38.720017413215935,38.72001741331594,39.04079554247093,39.04079554257093,39.35982599494445,39.35982599504445,39.678379808295745,39.678379808395746,39.996139223110006,39.99613922321001,40.31270704011872,40.31270704021872,40.62728886078484,40.62728886088484,40.94012300466947,40.940123004769475,41.25248050943189,41.25248050953189,41.56023050267951,41.56023050277951,41.86623281914564,41.86623281924564,42.17167905663585,42.171679056735854,42.47633089558902,42.476330895689024,42.78066497512738,42.78066497522738,43.084125216275005,43.08412521637501,43.38623497990966,43.38623498000966,43.68802698412951,43.68802698422951,43.989501228934536,43.98950122903454,44.28883059768957,44.28883059778957,44.58720668820016,44.587206688300164,44.88462950046631,44.88462950056631,45.18094015478061,45.18094015488061,45.47574145187454,45.47574145197454,45.770145549699954,45.770145549799956,46.061054293962414,46.061054294062416,46.34981816217487,46.34981816227487,46.637231552874375,46.63723155297438,46.92448606386647,46.92448606396647,47.210390097345595,47.2103900974456,47.49621469097102,47.496214691071025,47.781880404889044,47.781880404989046,48.35217911462694,48.352179114726944,48.63665323073941,48.636653230839414,48.91556655709263,48.91556655719263,49.19416212403103,49.19416212413103,49.470930574334254,49.470930574434256,49.745951347856,49.745951347956,50.02017772284071,50.02017772294071,50.29297418045875,50.29297418055875,50.56291080334346,50.562910803443465,50.83276798637448,50.83276798647448,51.10230740999067,51.102307410090674,51.371529074192054,51.371529074292056,51.63773202395271,51.63773202405271,51.90298169546891,51.90298169556891,52.1679136075703,52.1679136076703,52.43125672259762,52.43125672269762,52.69396431879531,52.69396431889531,52.95484479835782,52.95484479845782,53.475811358945805,53.47581135904581,53.73462640231202,53.73462640241202,53.99312368626342,53.99312368636342,54.25146209050742,54.25146209060742,54.5094827353366,54.5094827354366,54.766391222213926,54.76639122231393,55.0221875511394,55.022187551239405,55.27790444021118,55.27790444031118,55.53346244957555,55.533462449675554,55.78894101908622,55.78894101918622,56.04306911108392,56.043069111183925,56.296164484983485,56.29616448508349,56.5483065806386,56.548306580738604,56.79838324009742,56.798383240197424,57.29774216047804,57.29774216057804,57.54630946271649,57.546309462816495,57.792970208466066,57.79297020856607,58.03923375494712,58.03923375504712,58.28525898186706,58.28525898196706,58.53017205083515,58.53017205093515,58.77492624009584,58.77492624019584,59.01832995184356,59.018329951943564,59.260144866517216,59.26014486661722,59.50172146162976,59.50172146172976,59.98360361419559,59.98360361429559,60.22367085208776,60.22367085218776,60.46254649217438,60.462546492274384,60.700389414162856,60.70038941426286,60.93799401659022,60.93799401669022,61.171626626332404,61.171626626432406,61.40502091651348,61.40502091661348,61.63817688713345,61.63817688723345,61.87077677877748,61.870776778877485,62.10210563276227,62.10210563286227,62.3324017686489,62.3324017687489,62.560870787900356,62.56087078800036,62.789022047737,62.789022047837,63.01653778874401,63.01653778884401,63.243100251506576,63.24310025160658,63.466961759243226,63.46696175934323,63.69058494741876,63.690584947518765,63.91389037617948,63.91389037627948,64.13687804552539,64.1368780456254,64.35962739531018,64.35962739541019,64.58182066611906,64.58182066621906,64.8033784180983,64.8033784181983,65.02453897080903,65.02453897090903,65.24562008366605,65.24562008376606,65.46590679798604,65.46590679808604,65.68500191450048,65.68500191460048,65.90377927160009,65.90377927170009,66.11858463601453,66.11858463611453,66.33323112072156,66.33323112082157,66.54748040616009,66.54748040626009,66.76157081189119,66.76157081199119,66.97534345820749,66.97534345830749,67.18863946540156,67.18863946550157,67.40177659288823,67.40177659298823,67.61443708125267,67.61443708135268,67.8267798102023,67.8267798103023,68.03697766310194,68.03697766320194,68.24653999717194,68.24653999727194,68.45451353416787,68.45451353426787,68.6624076313101,68.6624076314101,68.8693484502079,68.8693484503079,69.07565375027605,69.07565375037605,69.28076745253865,69.28076745263866,69.48580171494756,69.48580171504756,69.68996213896573,69.68996213906573,69.89277208547092,69.89277208557093,70.09526427256131,70.09526427266131,70.2975975799443,70.2975975800443,70.49969256776616,70.49969256786616,70.70131091646581,70.70131091656582,70.90221430648214,70.90221430658214,71.10144945957067,71.10144945967068,71.3004462930981,71.3004462931981,71.49912536721072,71.49912536731073,71.89592743646003,71.89592743656003,72.09381211203562,72.09381211213562,72.29153790790379,72.29153790800379,72.48878706464974,72.48878706474974,72.68532126271236,72.68532126281237,72.88177602092128,72.88177602102128,73.07799245956909,73.07799245966909,73.27405001850948,73.27405001860949,73.66576793712177,73.66576793722177,73.86118997723254,73.86118997733254,74.0562942579285,74.0562942580285,74.25068357994112,74.25068358004113,74.44491402224634,74.44491402234634,74.63652294937934,74.63652294947934,74.82805243665864,74.82805243675864,75.01950248408423,75.01950248418423,75.2105553322413,75.2105553323413,75.39914554493356,75.39914554503356,75.58741799821101,75.58741799831101,75.96189746856962,75.96189746866962,76.14762784652856,76.14762784662857,76.33311990492638,76.33311990502638,76.51702316625014,76.51702316635014,76.70044978845166,76.70044978855167,76.8836380910921,76.8836380911921,77.06666751402511,77.06666751412511,77.2491408579822,77.2491408580822,77.43105812296336,77.43105812306337,77.61210154955378,77.61210154965379,77.792668337022,77.792668337122,77.97275848536798,77.97275848546798,78.15268975400654,78.15268975410655,78.33182662410809,78.33182662420809,78.51008965581889,78.51008965591889,78.68739940928525,78.68739940938525,79.04178059665685,79.04178059675685,79.21869315085469,79.21869315095469,79.39354026885624,79.39354026895624,79.56759298832075,79.56759298842076,79.74148682807785,79.74148682817786,79.91363299105349,79.91363299115349,80.0856202743217,80.0856202744217,80.25752811773621,80.25752811783622,80.42856212276,80.42856212286,80.59888116910044,80.59888116920044,80.76888245602606,80.76888245612606,80.93848654368318,80.93848654378318,81.2776152791437,81.2776152792437,81.4469810472397,81.4469810473397,81.61507577767645,81.61507577777645,81.78269386899098,81.78269386909098,81.95023252045179,81.9502325205518,82.11729453279038,82.11729453289038,82.28427710527528,82.28427710537528,82.45030639951574,82.45030639961574,82.61625625390248,82.61625625400248,82.94807652282228,82.94807652292228,83.27973791203466,83.27973791213466,83.4453700070066,83.4453700071066,83.61092266212482,83.61092266222482,83.77599867812083,83.77599867822083,83.94099525426314,83.94099525436314,84.10591239055174,84.10591239065174,84.27027344786441,84.27027344796441,84.4345550653234,84.4345550654234,84.59867780307496,84.59867780317497,84.76216502199689,84.7621650220969,84.92517560179661,84.92517560189661,85.08810674174262,85.08810674184262,85.25087900198123,85.25087900208123,85.57570856377511,85.57570856387511,85.73736866606187,85.73736866616187,85.89831380966528,85.89831380976528,86.05886175400019,86.05886175410019,86.21845642009066,86.21845642019066,86.37511181159408,86.37511181169408,86.53105224441418,86.53105224451419,86.68683379752687,86.68683379762687,86.84182095210254,86.84182095220254,86.99609314799486,86.99609314809486,87.15028590403348,87.15028590413348,87.30424034051099,87.30424034061099,87.4581153371348,87.4581153372348,87.61175201419749,87.6117520142975,87.76395877389352,87.76395877399352,87.91560945461363,87.91560945471363,88.21843417693162,88.21843417703163,88.36778110189432,88.36778110199432,88.51688970729592,88.51688970739592,88.6656805532827,88.6656805533827,88.81439195941577,88.81439195951577,88.96294448584143,88.96294448594143,89.11062317387636,89.11062317397636,89.25774578293536,89.25774578303536,89.40431231301845,89.40431231311845,89.69720705362349,89.69720705372349,89.84313806487694,89.84313806497694,90.13476176782272,90.13476176792273,90.27966006097803,90.27966006107803,90.42439947442593,90.42439947452593,90.56898000816642,90.56898000826642,90.71252782380876,90.71252782390876,90.85567844018259,90.85567844028259,91.14174135336913,91.14174135346913,91.28433589076703,91.28433589086703,91.42677154845752,91.42677154855753,91.56857168731838,91.56857168741838,91.71021294647184,91.71021294657184,91.8517747657716,91.8517747658716,91.99238330682691,91.99238330692691,92.13187968993036,92.13187969003036,92.27105831361901,92.27105831371901,92.41015749745395,92.41015749755395,92.68795866585532,92.68795866595532,92.82658121056804,92.82658121066804,92.96337663864558,92.96337663874559,93.0996954276009,93.09969542770091,93.23585533684881,93.23585533694882,93.37177692653562,93.37177692663562,93.50722187710019,93.5072218772002,93.64242850810366,93.64242850820366,93.7768407405701,93.7768407406701,93.91101465347542,93.91101465357542,94.04510912652704,94.04510912662704,94.17904471987124,94.17904471997124,94.31290087336176,94.31290087346176,94.44651870729115,94.44651870739115,94.5790243832687,94.5790243833687,94.71137117953883,94.71137117963883,94.84347965624787,94.84347965634787,94.97534981339578,94.97534981349578,95.10690221112888,95.10690221122888,95.23829572915459,95.23829572925459,95.36929204791177,95.36929204801177,95.49981172754673,95.49981172764673,95.62929868908354,95.62929868918354,95.75862677091294,95.75862677101294,95.88747821362013,95.88747821372013,96.01601189691249,96.01601189701249,96.14430726064374,96.14430726074374,96.2725231845213,96.2725231846213,96.40065966854516,96.40065966864516,96.5285578330079,96.5285578331079,96.65605879820211,96.65605879830211,96.78324200398153,96.78324200408153,97.03752897568664,97.03752897578664,97.16455330175864,97.16455330185865,97.29149818797694,97.29149818807694,97.41812531478043,97.41812531488043,97.5445935618765,97.5445935619765,97.67058516985036,97.67058516995036,97.79625901840939,97.79625901850939,97.92185342711473,97.92185342721473,98.04681231699044,98.04681231709044,98.17161232715874,98.17161232725874,98.29609457791223,98.29609457801223,98.42049738881201,98.42049738891201,98.54426468088216,98.54426468098217,98.66795253309861,98.66795253319862,98.79140206575396,98.79140206585396,98.91373944045745,98.91373944055745,99.03560017603871,99.03560017613871,99.15730203191258,99.15730203201258,99.27892444793274,99.27892444803274,99.39959358570846,99.39959358580846,99.64085242140618,99.64085242150618,99.76088604035226,99.76088604045226,99.88076077959094,99.88076077969095,100.0,100.0000000001],[0.0,1e-10,3.8426402606205454,3.8426402607205454,7.363785189754367,7.363785189854367,10.807825183468703,10.807825183568703,14.155058904652565,14.155058904752565,17.435272898699946,17.435272898799944,20.51542450517981,20.515424505279807,23.573588012205448,23.573588012305446,26.621490406152446,26.621490406252445,29.546669887678924,29.546669887778922,32.457366541031554,32.457366541131556,35.17972779319225,35.17972779329225,37.57068441037885,37.570684410478854,39.94844816789292,39.94844816799292,42.243771211186605,42.24377121128661,44.43601404423888,44.43601404433888,46.60110890383167,46.601108903931674,48.712083721301134,48.712083721401136,50.67541578030195,50.67541578040195,52.557186649060554,52.557186649160556,54.36953375847568,54.369533758575685,56.0155335661531,56.015533566253104,57.624886541406816,57.62488654150682,59.2151831638002,59.2151831639002,60.742916313879824,60.742916313979826,62.26578276461358,62.265782764713585,63.71060612101781,63.71060612111781,65.14786557120978,65.14786557130978,66.54208698140334,66.54208698150335,67.920418325058,67.920418325158,69.23378216419188,69.23378216429188,70.51360682229159,70.5136068223916,71.78616074883844,71.78616074893844,73.03379482933717,73.03379482943717,74.2526977932157,74.2526977933157,75.4597565008549,75.4597565009549,76.64693796658747,76.64693796668747,77.82837320899601,77.82837320909601,78.98037371560181,78.98037371570182,80.10129770831232,80.10129770841232,81.2209903674534,81.2209903675534,82.3009871777131,82.3009871778131,83.28488133462487,83.28488133472487,84.08624494860062,84.08624494870062,84.88285913309426,84.88285913319426,85.66551820380096,85.66551820390096,86.43545349429013,86.43545349439013,87.1937204333356,87.1937204334356,87.93017517772248,87.93017517782248,88.56906139546447,88.56906139556447,89.15951515947529,89.15951515957529,89.74082187411315,89.74082187421315,90.29802963174917,90.29802963184918,90.85406469074765,90.85406469084765,91.37357018718616,91.37357018728616,91.8727879971949,91.8727879972949,92.3346553555974,92.33465535569741,92.75729594457357,92.75729594467357,93.14633871758367,93.14633871768368,93.53491241113876,93.53491241123876,93.9145735950484,93.9145735951484,94.28221461792306,94.28221461802306,94.6299783988911,94.6299783989911,94.96460795511848,94.96460795521848,95.29607122502445,95.29607122512445,95.60906449138888,95.60906449148888,95.91953645568255,95.91953645578255,96.21834006853251,96.21834006863251,96.5152087286305,96.5152087287305,96.7913206228437,96.7913206229437,97.06063086495907,97.06063086505907,97.30349675279747,97.30349675289747,97.52507816036419,97.52507816046419,97.7395061062418,97.7395061063418,97.9515886548443,97.9515886549443,98.1503610739105,98.1503610740105,98.34344590458454,98.34344590468454,98.53441987771099,98.53441987781099,98.71730223023827,98.71730223033828,98.89731147110354,98.89731147120354,99.05609486662898,99.05609486672898,99.2110083566505,99.2110083567505,99.34065019103261,99.34065019113261,99.4631971986575,99.4631971987575,99.58076023707275,99.58076023717275,99.69644695766793,99.69644695776793,99.80257618436698,99.80257618446699,99.90829496654291,99.90829496664291,100.0,100.0000000001],[0.0,1e-10,10.835001626420473,10.835001626520473,20.59431784222928,20.59431784232928,29.548027006513614,29.548027006613612,36.639550843490746,36.63955084359075,43.623902827327036,43.62390282742704,49.69408749877688,49.69408749887688,55.718256371469145,55.71825637156915,61.270498848282735,61.270498848382736,66.53534092682166,66.53534092692166,70.69864676527448,70.69864676537448,74.76231782107259,74.76231782117259,78.73964313954687,78.73964313964687,82.56940055166066,82.56940055176067,85.61649269697539,85.61649269707539,87.25177253385732,87.25177253395732,88.881035937281,88.881035937381,90.47796927519828,90.47796927529828,92.07338197608765,92.07338197618765,93.55468078523052,93.55468078533052,94.972245068508,94.972245068608,96.03378194329478,96.03378194339479,97.00097320769787,97.00097320779787,97.90026472307217,97.90026472317217,98.611195590946,98.611195591046,99.07941956623498,99.07941956633498,99.45131449153865,99.45131449163866,99.69045119284057,99.69045119294057,99.86618394154407,99.86618394164407,100.0,100.0000000001],[0.0,1e-10,8.24984864500273,8.24984864510273,16.120830917167748,16.120830917267746,22.88429512686248,22.884295126962478,29.574563305279693,29.57456330537969,35.82670012439262,35.826700124492625,41.98172595196924,41.98172595206924,47.20372005333268,47.20372005343268,52.21715480467224,52.21715480477224,57.07467794616928,57.07467794626928,61.26728392804383,61.26728392814383,64.76925836341569,64.76925836351569,68.01339237774492,68.01339237784492,71.23274074151469,71.23274074161469,74.33866718211533,74.33866718221533,77.20004574026379,77.20004574036379,79.89013049325766,79.89013049335766,82.00091596619632,82.00091596629632,83.56937747384882,83.56937747394882,85.11740678244526,85.11740678254526,86.55770267783704,86.55770267793704,87.94761462782924,87.94761462792924,89.25626214975757,89.25626214985758,90.53402918902164,90.53402918912164,91.78857782026746,91.78857782036746,92.98896951481073,92.98896951491074,94.1747336123025,94.1747336124025,95.25061659384794,95.25061659394794,96.109697690523,96.10969769062301,96.90922357063127,96.90922357073127,97.5908579840269,97.5908579841269,98.24985444960474,98.24985444970474,98.69767949425663,98.69767949435663,99.05274699887565,99.05274699897565,99.38651161413792,99.38651161423792,99.6262416769263,99.6262416770263,99.75556820958792,99.75556820968792,99.88176025716709,99.88176025726709,100.0,100.0000000001],[0.0,1e-10,9.505257724185531,9.505257724285531,18.007226833243433,18.00722683334343,25.862144965866843,25.86214496596684,33.24807294113553,33.248072941235534,39.37522112601718,39.37522112611718,45.19612790218835,45.19612790228835,50.87609403003254,50.87609403013254,56.06839391461201,56.06839391471201,60.455186093856035,60.45518609395604,64.77342195774101,64.77342195784101,68.33846635694525,68.33846635704525,71.72742194614095,71.72742194624095,74.88826248600743,74.88826248610744,77.74929964677837,77.74929964687837,79.85302732392569,79.85302732402569,81.8148863484772,81.8148863485772,83.76265130819601,83.76265130829601,85.49807729115554,85.49807729125554,87.05509445343449,87.0550944535345,88.48984705329644,88.48984705339645,89.92111963715033,89.92111963725033,91.35030421139938,91.35030421149938,92.64394216213394,92.64394216223394,93.90463596132543,93.90463596142543,95.12177156014917,95.12177156024917,95.97025746318432,95.97025746328433,96.75917709221463,96.75917709231463,97.46892635706124,97.46892635716124,98.08964521236798,98.08964521246799,98.64128574991445,98.64128575001445,99.19014227465446,99.19014227475446,99.57381403954459,99.57381403964459,99.90006554030148,99.90006554040149,100.0,100.0000000001],[0.0,1e-10,1.1612260197542295,1.1612260198542295,2.113871835885814,2.113871835985814,2.911226883440373,2.911226883540373,3.6393143022970595,3.6393143023970596,4.358160279419741,4.358160279519741,5.0744151981123276,5.074415198212328,5.775296503453017,5.775296503553017,6.472118483919892,6.472118484019892,7.15650338392231,7.15650338402231,7.837951751037287,7.837951751137287,8.497635227339467,8.497635227439467,9.155418594126242,9.155418594226242,9.812079168926646,9.812079169026646,10.450861440559391,10.450861440659391,11.088002708519745,11.088002708619745,11.717025326732468,11.717025326832468,12.335856448453484,12.335856448553484,12.95416935848848,12.95416935858848,13.545967103922171,13.545967104022171,14.132409995267,14.132409995367,14.711597923007563,14.711597923107563,15.285690102502272,15.285690102602272,15.859695913382645,15.859695913482645,16.43016061107522,16.430160611175218,16.99855246202372,16.99855246212372,17.566253364057527,17.566253364157525,18.125662879115033,18.12566287921503,18.684899656943863,18.68489965704386,19.237140577011438,19.237140577111436,19.7853221722052,19.785322172305197,20.327112489938056,20.327112490038054,20.86778001568454,20.86778001578454,21.397133252952944,21.397133253052942,21.923031745647886,21.923031745747885,22.44469817624034,22.44469817634034,22.963082599488008,22.963082599588006,23.47464390220309,23.47464390230309,23.970917960180614,23.970917960280612,24.461318952383255,24.461318952483253,24.950251678142177,24.950251678242175,25.437975243300386,25.437975243400384,25.92017121714106,25.92017121724106,26.40219445375306,26.40219445385306,26.876703620917787,26.876703621017786,27.347671674894716,27.347671674994714,27.809571024366313,27.80957102446631,28.270865793537556,28.270865793637554,28.72913766120702,28.729137661307018,29.18576852520409,29.185768525304088,30.09022065453591,30.090220654635907,30.537091865112952,30.53709186521295,30.98292665231796,30.98292665241796,31.42651585555022,31.42651585565022,31.85749524108935,31.857495241189348,32.28510625066936,32.28510625076936,32.70304397544368,32.70304397554368,33.12063622576065,33.12063622586065,33.536673841019564,33.536673841119566,33.94727023357528,33.94727023367528,34.35259814065647,34.35259814075647,34.75576683237925,34.75576683247925,35.157985469344325,35.15798546944433,35.560031369080725,35.56003136918073,35.95931347315836,35.95931347325836,36.35617725603458,36.35617725613458,36.74656339283555,36.74656339293555,37.130126409103944,37.130126409203946,37.51222115892862,37.51222115902862,37.88524720424795,37.885247204347955,38.258186880952955,38.25818688105296,38.631040189043624,38.631040189143626,39.003548022676945,39.00354802277695,39.37277384896548,39.37277384906548,39.74156783218233,39.74156783228233,40.10984360371316,40.10984360381316,40.47371457591283,40.47371457601283,40.83542633275409,40.83542633285409,41.19506524285127,41.19506524295127,41.549262930245256,41.54926293034526,41.89689660294966,41.89689660304966,42.24349385228203,42.24349385238203,42.58637725119793,42.58637725129793,42.92805148951312,42.928051489613125,43.2694666219853,43.269466622085304,43.608549801870396,43.6085498019704,43.947028401455135,43.94702840155514,44.28282957399545,44.28282957409545,44.61733521732071,44.61733521742071,44.95071806865959,44.95071806875959,45.28315086524078,45.28315086534078,45.61523818736462,45.61523818746462,45.9448208196727,45.9448208197727,46.272762448308384,46.272762448408386,46.59932217911469,46.59932217921469,46.92467274932028,46.92467274942028,47.249246001996845,47.24924600209685,47.57338741160172,47.573387411701724,47.89519686861952,47.89519686871952,48.213551581063854,48.213551581163856,48.53069713290748,48.53069713300748,48.8468926299934,48.8468926300934,49.161619860635604,49.161619860735605,49.47574251097745,49.47574251107745,49.78813778903257,49.78813778913257,50.09889206341529,50.098892063515294,50.40757349105394,50.40757349115394,50.712454699661784,50.712454699761786,51.01716317104095,51.01716317114095,51.32169890519145,51.32169890529145,51.623643580911846,51.62364358101185,51.92247898651613,51.922478986616134,52.218896070918994,52.218896071018996,52.81112565942437,52.81112565952437,53.103137944496076,53.10313794459608,53.3949774923391,53.394977492439104,53.68655793433913,53.68655793443913,53.975979160980735,53.97597916108074,54.26496854455066,54.264968544650664,54.55378519089191,54.55378519099191,54.84165178247546,54.84165178257546,55.12589089225688,55.125890892356885,55.40987089619529,55.40987089629529,55.689964312488556,55.68996431258856,55.96910767402412,55.969107674124125,56.247128243573314,56.247128243673316,56.525062444508166,56.52506244460817,56.8015283789993,56.8015283790993,57.07479867475998,57.074798674859984,57.34737802160597,57.34737802170597,57.61935278815161,57.61935278825161,57.88614543783705,57.88614543793705,58.152247138607805,58.15224713870781,58.68160037587621,58.68160037597621,58.94295180285845,58.942951802958454,59.20378501815468,59.203785018254685,59.46401365315055,59.464013653250554,59.72294675893138,59.72294675903138,59.97911606905343,59.979116069153434,60.23511264194682,60.23511264204682,60.49093647761153,60.49093647771153,60.74624210159022,60.74624210169022,61.00102951388289,61.00102951398289,61.251671232687414,61.251671232787416,61.501708371191576,61.50170837129158,61.75157277246707,61.75157277256707,62.000832593442205,62.000832593542206,62.248710516587956,62.24871051668796,62.49546564774733,62.49546564784733,62.741875304449366,62.74187530454937,62.98819859253706,62.98819859263706,63.23193082219466,63.231930822294665,63.475576683237925,63.47557668333793,63.719136175666854,63.719136175766856,64.2036641020946,64.20366410219461,64.44445979886477,64.44445979896477,64.6835281233482,64.6835281234482,65.16140566647205,65.16140566657205,65.39943756758345,65.39943756768345,65.63556935917943,65.63556935927943,65.86936919818834,65.86936919828834,66.10299629996857,66.10299630006857,66.33645066452011,66.33645066462012,66.56886860569963,66.56886860579964,66.79843638260606,66.79843638270606,67.02774505366946,67.02774505376946,67.25679461888986,67.25679461898986,67.4854987096529,67.4854987097529,67.71411643180161,67.71411643190162,67.9412658875066,67.9412658876066,68.16711981399655,68.16711981409655,68.39141910542844,68.39141910552844,68.61476834210262,68.61476834220262,68.83673568094743,68.83673568104743,69.05827117672055,69.05827117682055,69.27946119803633,69.27946119813633,69.50021937628041,69.50021937638041,69.94139025831126,69.94139025841126,70.16163022486933,70.16163022496933,70.38178382281306,70.38178382291306,70.60150557768512,70.60150557778512,70.8201045405708,70.8201045406708,71.03783981731311,71.03783981741311,71.25531598821242,71.25531598831242,71.68828185188129,71.68828185198129,72.1177929709767,72.1177929710767,72.33095071115918,72.33095071125918,72.54324476519828,72.54324476529828,72.75536608200872,72.75536608210872,72.96550092068942,72.96550092078942,73.17520391629844,73.17520391639844,73.38456143745012,73.38456143755012,73.59279616661541,73.59279616671542,73.80077178993771,73.80077179003771,74.00684730374459,74.0068473038446,74.21223186863679,74.2122318687368,74.41718459045731,74.41718459055731,74.62135999474879,74.62135999484879,75.02962443471742,75.02962443481742,75.23362710178023,75.23362710188023,75.43624787101366,75.43624787111366,75.63722763657469,75.6372276366747,75.83622092400599,75.83622092410599,76.23412113025424,76.23412113035424,76.43250983738517,76.43250983748517,76.6306394386731,76.6306394387731,76.827991722432,76.827991722532,77.02396210836152,77.02396210846152,77.219155176762,77.219155176862,77.41374366486214,77.41374366496214,77.60824578434793,77.60824578444793,77.8019705863047,77.8019705864047,77.99509080796112,77.99509080806112,78.18812466100319,78.18812466110319,78.38012209067323,78.38012209077323,78.76385784417029,78.76385784427029,78.95516432492563,78.95516432502563,79.14629806845231,79.14629806855231,79.3372590747503,79.33725907485031,79.52778823797662,79.52778823807662,79.71814466397427,79.71814466407427,79.9070328235282,79.9070328236282,80.28437729956435,80.28437729966436,80.47266087881792,80.47266087891792,80.66008077192812,80.66008077202812,80.84698245335231,80.84698245345231,81.03362502893349,81.03362502903349,81.22000849867165,81.22000849877165,81.4061328625668,81.40613286266681,81.59104806586124,81.59104806596125,81.77518595162667,81.77518595172667,81.95871925709173,81.95871925719173,82.14207982532811,82.14207982542811,82.3237993898921,82.3237993899921,82.50448253108407,82.50448253118407,82.68387014306097,82.68387014316097,83.04238626117179,83.04238626127179,83.22047834393364,83.22047834403364,83.39779310916647,83.39779310926647,83.57450329409895,83.57450329419895,83.75086800457409,83.75086800467409,83.9260235544485,83.92602355454851,84.1004017867939,84.1004017868939,84.27400270161026,84.27400270171026,84.44699903612626,84.44699903622626,84.61973626479926,84.61973626489926,84.79178254455756,84.79178254465756,85.13535689238816,85.13535689248816,85.3065394860031,85.3065394861031,85.47763571100371,85.47763571110372,85.64812735570396,85.64812735580396,85.81680525950314,85.81680525960314,85.9852240574593,85.98522405755931,86.15295190650079,86.15295190660079,86.32042064969926,86.32042064979926,86.48711207536871,86.48711207546872,86.65354439519514,86.65354439529514,86.81876755442086,86.81876755452086,87.14912750425798,87.14912750435798,87.31374608318335,87.31374608328335,87.47827829349437,87.47827829359437,87.64211955489071,87.64211955499071,87.80578807905837,87.80578807915838,87.96850654846834,87.96850654856834,88.13036133173493,88.13036133183493,88.29187064054419,88.29187064064419,88.45208442013839,88.45208442023839,88.93246665307801,88.93246665317801,89.0921622209862,89.0921622210862,89.25082136552234,89.25082136562234,89.40809861222911,89.40809861232911,89.5652031217072,89.5652031218072,89.72204852534227,89.72204852544228,89.87880756036303,89.87880756046303,90.0344438033974,90.0344438034974,90.3456299208518,90.34562992095181,90.50092068942882,90.50092068952883,90.65552050909116,90.65552050919116,90.8094293798388,90.8094293799388,90.96264730167175,90.96264730177175,91.11551974904735,91.11551974914735,91.26830582780862,91.26830582790862,91.4206600634982,91.4206600635982,91.7251957976487,91.7251957977487,91.8768590844236,91.8768590845236,92.02834963396981,92.02834963406981,92.17828554845798,92.17828554855798,92.32796235710313,92.32796235720313,92.47686184821926,92.47686184831926,92.62567497072104,92.62567497082104,92.7744017246085,92.7744017247085,92.92295574126727,92.92295574136728,93.07133702069737,93.07133702079737,93.21945919428447,93.21945919438447,93.36723589341422,93.36723589351422,93.5141489064006,93.51414890650061,93.6603709704723,93.6603709705723,93.80633392870098,93.80633392880098,93.95134683217196,93.95134683227197,94.09558241811392,94.09558241821392,94.23973163544153,94.23973163554153,94.52673454088172,94.52673454098172,94.6691563859226,94.6691563860226,94.81080091343446,94.81080091353446,94.95227270371765,94.95227270381766,95.09348538815783,95.09348538825783,95.23461170398366,95.23461170408366,95.37547891396649,95.37547891406649,95.51600064949199,95.51600064959199,95.65643601640313,95.65643601650314,95.93713401299675,95.93713401309675,96.07731027406489,96.07731027416489,96.21722742929002,96.21722742939002,96.4968890025116,96.4968890026116,96.63637431466505,96.63637431476505,96.77577325820415,96.77577325830416,96.9149994645146,96.9149994646146,97.05413930221069,97.05413930231069,97.19293366544944,97.19293366554945,97.33103707977351,97.33103707987351,97.46810407072553,97.46810407082553,97.60508469306322,97.60508469316322,97.7418062095579,97.7418062096579,97.87757767129487,97.87757767139487,98.01317639580317,98.01317639590317,98.1486023830828,98.1486023831828,98.28368289590509,98.28368289600509,98.55323934124931,98.55323934134931,98.68728343069955,98.68728343079955,98.81994562232042,98.81994562242042,98.95226233948394,98.95226233958394,99.0842335821901,99.0842335822901,99.21568661321025,99.21568661331025,99.34679416977306,99.34679416987306,99.47781535772152,99.47781535782153,99.7396849963898,99.7396849964898,99.8701016040379,99.8701016041379,100.0,100.0000000001],[0.0,1e-10,1.4130583733481916,1.4130583734481916,2.7608687032681756,2.7608687033681756,3.843374089014191,3.843374089114191,4.804774097778854,4.804774097878854,5.695222076376383,5.695222076476383,6.561254209298751,6.561254209398751,7.426590734082225,7.426590734182225,8.271406818768343,8.271406818868343,9.10864077474052,9.10864077484052,9.923545709454219,9.923545709554219,10.733233583126216,10.733233583226216,11.529913584600905,11.529913584700905,12.31845497085054,12.31845497095054,13.079867639683332,13.079867639783332,13.836341490729978,13.836341490829978,14.56791257040424,14.56791257050424,15.281467399281158,15.281467399381159,15.965667564696775,15.965667564796775,16.64861563546238,16.64861563556238,17.3301724899502,17.3301724900502,18.00456458060742,18.004564580707417,18.676730725220178,18.676730725320176,19.337488896355083,19.33748889645508,19.99588199981775,19.99588199991775,20.63493719701918,20.63493719711918,21.253819758192698,21.253819758292696,21.86094654181892,21.860946541918917,22.46772552137569,22.46772552147569,23.67975314258367,23.67975314268367,24.282706277376526,24.282706277476525,24.871955931833185,24.871955931933183,25.43672017980079,25.43672017990079,25.998493312771156,25.998493312871155,26.55720576993039,26.55720577003039,27.110283801164588,27.110283801264586,27.660788082284878,27.660788082384876,28.20983158631349,28.20983158641349,28.757692556505987,28.757692556605985,29.271399167078815,29.271399167178814,29.78218422346829,29.782184223568287,30.283091644285474,30.283091644385472,30.783651261033214,30.783651261133212,31.278715573483694,31.278715573583693,31.77224954802861,31.77224954812861,32.26446186710963,32.26446186720963,32.75618726049342,32.75618726059342,33.24526934294942,33.24526934304942,33.727325783202595,33.7273257833026,34.20020019602237,34.200200196122374,34.67140514930881,34.67140514940881,35.13996679166745,35.13996679176745,35.59385110229544,35.59385110239544,36.026588925501066,36.02658892560107,36.45918762707891,36.45918762717891,36.88969950424008,36.88969950434008,37.3146465162901,37.3146465163901,37.737854507992886,37.73785450809289,38.158210506326206,38.15821050642621,38.57731441000952,38.57731441010952,38.99627919206506,38.99627919216506,39.41350495377336,39.413504953873364,39.8292003775761,39.8292003776761,40.24308722021771,40.24308722031771,40.65022666391206,40.65022666401206,41.05569664807306,41.05569664817306,41.45935805107294,41.45935805117294,41.86023702151725,41.86023702161725,42.25986389731155,42.25986389741155,42.65670834055027,42.65670834065027,43.053135418905654,43.053135419005656,43.448310402611035,43.44831040271104,43.8429288998053,43.8429288999053,44.228921856077285,44.22892185617729,44.60775004851867,44.60775004861867,44.98337844352114,44.98337844362114,45.358032987129164,45.358032987229166,45.72837476027605,45.72837476037605,46.09614278330902,46.09614278340902,46.459458914253084,46.459458914353085,46.820827342408236,46.82082734250824,47.18129147998283,47.181291480082834,47.5341039280296,47.5341039281296,47.88649901119303,47.88649901129303,48.23479000633699,48.234790006436995,48.5827331974115,48.5827331975115,48.92845044244156,48.92845044254156,49.273263396891046,49.27326339699105,49.61418094576274,49.61418094586274,49.95335947428719,49.95335947438719,50.290729421650525,50.29072942175053,50.62636034866662,50.626360348766624,50.96101742428827,50.961017424388274,51.29553537828214,51.29553537838214,51.62574056181487,51.625740561914874,51.95378936011703,51.95378936021703,52.28002957725806,52.280029577358064,52.92931021410123,52.92931021420123,53.25095941752557,53.25095941762557,53.57156520874157,53.57156520884157,53.88973637147144,53.889736371571445,54.20679456117908,54.20679456127908,54.523226703561726,54.52322670366173,54.8387545553638,54.8387545554638,55.15400416391032,55.154004164010324,55.46814079943461,55.46814079953461,55.78081665786723,55.78081665796723,56.09342295548595,56.09342295558595,56.40317725973521,56.40317725983521,56.70729713805943,56.70729713815943,57.00995623929198,57.00995623939198,57.31129368506063,57.311293685160635,57.61130947536539,57.61130947546539,57.91111658322847,57.91111658332847,58.20946291399988,58.20946291409988,58.50746144070184,58.50746144080184,58.80309489973156,58.803094899831564,59.098102311436286,59.09810231153629,59.391788067677105,59.39178806777711,59.683456560315136,59.68345656041514,59.97380339748927,59.97380339758927,60.26282857919951,60.26282857929951,60.551575517654186,60.55157551775419,60.83900080064497,60.83900080074497,61.12392189433573,61.12392189443573,61.408634305584826,61.40863430568483,61.6928597911367,61.6928597912367,61.974511526574666,61.97451152667467,62.25560677550152,62.25560677560152,62.53579773384781,62.53579773394781,62.813414942080186,62.81341494218019,63.09033654217368,63.09033654227368,63.3670494598255,63.367049459925504,63.643553695035656,63.64355369513566,63.91866671396802,63.918666714068024,64.19336236801705,64.19336236811705,64.46771021799664,64.46771021809664,64.7394843178623,64.73948431796231,65.01042368796132,65.01042368806132,65.28045876747976,65.28045876757976,65.54979823885931,65.54979823895931,65.81781605477497,65.81781605487497,66.08541650580729,66.08541650590729,66.35204310544515,66.35204310554515,66.616165515783,66.616165515883,66.87875758821528,66.87875758831528,67.14037580925311,67.14037580935312,67.4010201788965,67.4010201789965,67.66117762284266,67.66117762294266,67.92056989783603,67.92056989793603,68.17871007817939,68.1787100782794,68.43573728550054,68.43573728560054,68.69241668875223,68.69241668885223,68.9472179500289,68.9472179501289,69.20076711665557,69.20076711675557,69.45403804002669,69.45403804012669,69.7066133552589,69.7066133553589,69.95911910967723,69.95911910977723,70.21016408700389,70.21016408710389,70.45627024654439,70.4562702466444,70.70126343306268,70.70126343316268,70.94563057225595,70.94563057235595,71.18777176540476,71.18777176550476,71.42866086390357,71.42866086400358,71.66920215833294,71.66920215843294,71.90946520950673,71.90946520960674,72.14785011870553,72.14785011880554,72.38588722383487,72.38588722393487,72.62044628826975,72.62044628836975,72.85361413642684,72.85361413652684,73.08601681563115,73.08601681573116,73.318071690766,73.318071690866,73.54630072113696,73.54630072123696,73.77341677848567,73.77341677858567,74.22667504178865,74.22667504188865,74.44871315972345,74.44871315982346,74.67026435196102,74.67026435206103,74.89063301036248,74.89063301046248,75.1104451822528,75.1104451823528,75.3292835027487,75.3292835028487,75.54784357998902,75.54784358008902,75.76563848827656,75.76563848837657,76.2009500615961,76.2009500616961,76.41679726709475,76.41679726719475,76.63222710771005,76.63222710781005,76.84744826588368,76.84744826598369,77.06183469429065,77.06183469439065,77.27517771048929,77.27517771058929,77.48810336180458,77.48810336190458,77.70061164823653,77.70061164833653,77.91152003594902,77.91152003604903,78.12159369389485,78.12159369399485,78.33124998695735,78.33124998705735,78.53965418536983,78.53965418546983,78.74771057971287,78.74771057981287,78.95361058882533,78.95361058892533,79.15916279386835,79.15916279396835,79.36304553937804,79.36304553947804,79.56581531186548,79.56581531196548,79.76837640191125,79.76837640201126,79.9705201270737,79.9705201271737,80.17169000084169,80.1716900009417,80.37042524612355,80.37042524622355,80.5679083967554,80.5679083968554,80.76532198657337,80.76532198667337,80.96127479929966,80.96127479939966,81.15715805121206,81.15715805131207,81.35192833010224,81.35192833020224,81.54655948736463,81.54655948746463,81.7400081107909,81.7400081108909,82.12593150624899,82.12593150634899,82.31826715665304,82.31826715675304,82.50928115159319,82.50928115169319,82.70015602490555,82.70015602500555,82.89040485089292,82.89040485099292,83.07870597409138,83.07870597419138,83.26617236752317,83.26617236762317,83.45356920014108,83.45356920024108,83.63867052590062,83.63867052600062,83.82370229084628,83.82370229094629,84.00824713009472,84.00824713019472,84.19244416527371,84.19244416537371,84.37629339638326,84.37629339648326,84.56000350586503,84.56000350596503,84.74183547337178,84.74183547347178,84.92345875843685,84.92345875853685,85.10487336106027,85.10487336116027,85.28614884205591,85.28614884215591,85.46603310677376,85.46603310687377,85.64563912823606,85.64563912833606,85.82510602807056,85.82510602817057,86.00387731976619,86.00387731986619,86.18230080739237,86.18230080749237,86.35988956525188,86.35988956535188,86.53733920148359,86.53733920158359,86.7129106957403,86.7129106958403,86.887856142672,86.88785614277201,87.06238422472039,87.06238422482039,87.23684274595486,87.23684274605486,87.41123170637546,87.41123170647546,87.58283823424047,87.58283823434047,87.75333178908326,87.75333178918326,87.92354710067049,87.92354710077049,88.09285812167717,88.09285812177717,88.26133441291717,88.26133441301717,88.4296020217155,88.4296020218155,88.59689577911938,88.59689577921938,88.93092680741601,88.93092680751602,89.09745539586712,89.09745539596712,89.26301013292375,89.26301013302376,89.42814750509707,89.42814750519707,89.59279795157315,89.59279795167315,89.75591806014367,89.75591806024367,89.91889904708641,89.91889904718641,90.08139310833192,90.08139310843193,90.24228727085799,90.24228727095799,90.40165109547847,90.40165109557847,90.55969326463507,90.55969326473507,90.71703982565278,90.71703982575278,90.87139527167324,90.87139527177324,91.02338565002145,91.02338565012145,91.1753064675558,91.1753064676558,91.32701860264847,91.32701860274847,91.47859161611335,91.47859161621335,91.62912121736989,91.62912121746989,91.92955437255799,91.92955437265799,92.07855363590896,92.07855363600896,92.22623124379605,92.22623124389605,92.37342192598591,92.37342192608591,92.51998656085075,92.51998656095076,92.6652991010656,92.6652991011656,92.80991603314155,92.80991603324155,92.95411560033418,92.95411560043418,93.24244517390551,93.24244517400551,93.38567088970368,93.38567088980368,93.52820099736294,93.52820099746295,93.67003549688333,93.67003549698333,93.81117438826482,93.81117438836482,94.09220007637778,94.09220007647778,94.23076521764536,94.23076521774536,94.36613056147402,94.36613056157402,94.50121766204714,94.50121766214714,94.63567871529524,94.63567871539524,94.76895723470723,94.76895723480723,94.90147058516644,94.90147058526644,95.03280140178953,95.03280140188953,95.16336704945982,95.16336704955982,95.29163719027179,95.29163719037179,95.41976820945595,95.41976820955595,95.54664713399012,95.54664713409012,95.6734564977104,95.6734564978104,95.79929201003624,95.79929201013624,95.92464059666484,95.92464059676485,96.04985006166567,96.04985006176567,96.1749899658526,96.1749899659526,96.29999074841176,96.29999074851176,96.42408724039035,96.42408724049035,96.54720988097449,96.5472098810745,96.66810657551417,96.66810657561417,96.78858590517052,96.78858590527052,96.90899567401298,96.90899567411299,97.02926632122767,97.02926632132767,97.14765882646734,97.14765882656734,97.26563396682367,97.26563396692367,97.38340042473833,97.38340042483833,97.49942786230577,97.49942786240577,97.61322935382873,97.61322935392873,97.72605699395726,97.72605699405726,97.95059930119206,97.95059930129206,98.06078363039279,98.0607836304928,98.39119749636718,98.39119749646719,98.50117314312624,98.50117314322624,98.61107922907141,98.61107922917141,98.72056795013324,98.72056795023325,98.82970886712563,98.82970886722563,98.93780637190967,98.93780637200967,99.04562563343816,99.04562563353817,99.15337533415276,99.15337533425276,99.26063810917013,99.26063810927013,99.36762264093194,99.36762264103194,99.47391156455487,99.47391156465487,99.57992224492223,99.57992224502223,99.68537643877849,99.68537643887849,99.79069151100695,99.79069151110696,99.89538053591042,99.89538053601042,100.0,100.0000000001],[0.0,1e-10,1.4547852118105589,1.4547852119105589,2.8555476979193806,2.8555476980193806,4.1879310253151765,4.1879310254151765,5.334106099357151,5.334106099457151,6.412114702582563,6.412114702682563,7.434611764830993,7.434611764930993,8.445730024618625,8.445730024718625,9.455359469131011,9.455359469231011,10.370980863406515,10.370980863506515,11.262568525381642,11.262568525481642,12.14649942308408,12.14649942318408,13.016818295412854,13.016818295512854,13.877459868452537,13.877459868552537,14.726935326927883,14.726935327027883,15.565351014787126,15.565351014887126,16.4018525115782,16.401852511678197,17.23590809755994,17.235908097659937,18.03646533984867,18.03646533994867,18.83649086239625,18.836490862496248,19.628753276722904,19.628753276822902,20.413571614673337,20.413571614773335,21.19668844945206,21.19668844955206,21.94981629082943,21.949816290929427,22.69475564819295,22.694755648292947,23.434590496041345,23.434590496141343,24.151667738968143,24.15166773906814,24.86736251056793,24.867362510667927,25.554131728248674,25.554131728348672,26.240688258032957,26.240688258132955,26.9093790045143,26.909379004614298,27.576049215979243,27.57604921607924,28.239741796893693,28.23974179699369,28.900456747257657,28.900456747357655,29.553727621245393,29.55372762134539,30.203595488889714,30.203595488989713,30.851336477569404,30.851336477669403,31.494079300682195,31.494079300782193,32.131292238486935,32.13129223858694,32.754467775125086,32.75446777522509,33.3547793628934,33.354779362993405,33.954559230920566,33.95455923102057,34.54742674231266,34.54742674241266,35.13912447027421,35.13912447037421,35.73050316639106,35.73050316649106,36.30795080528955,36.30795080538955,36.871786418814374,36.871786418914375,37.42084022353498,37.42084022363498,37.96383242320638,37.96383242330638,38.50501677575783,38.50501677585783,39.0408839308977,39.0408839309977,39.57494323891763,39.574943239017635,40.10836448324817,40.10836448334817,40.63933981676938,40.63933981686938,41.169145366860036,41.16914536696004,41.698525541157764,41.698525541257766,42.2232265817333,42.2232265818333,42.738463010916206,42.73846301101621,43.249552026118074,43.249552026218076,43.75755706682122,43.75755706692122,44.26524307567967,44.26524307577967,44.769738766091166,44.76973876619117,45.27380908070974,45.27380908080974,45.7738383252955,45.7738383253955,46.27280413039895,46.272804130498955,46.76996208838246,46.76996208848246,47.266588326624806,47.26658832672481,47.760981341954285,47.760981342054286,48.25452360569791,48.254523605797914,48.744450175201656,48.74445017530166,49.228102451759725,49.228102451859726,49.70441699588981,49.70441699598981,50.18019982027873,50.18019982037873,50.65576995677119,50.65576995687119,51.130808373522484,51.130808373622486,51.60361356736092,51.60361356746092,52.07429188223471,52.07429188233471,52.541992566558015,52.54199256665802,53.00299358214272,53.00299358224272,53.45772030478176,53.45772030488176,53.908299613439745,53.90829961353975,54.354412476272,54.354412476372005,54.7979730843467,54.7979730844467,55.23855606187091,55.23855606197091,56.11610632267944,56.116106322779444,56.55073403910267,56.55073403920267,57.40935507712595,57.40935507722595,57.83015808027905,57.83015808037905,58.24107109624659,58.241071096346595,58.64773035428486,58.64773035438486,59.05300714099612,59.053007141096124,59.85898792464468,59.85898792474468,60.25724601077264,60.25724601087264,60.65263281029835,60.65263281039835,61.0474878900829,61.0474878901829,61.440854154592195,61.4408541546922,61.8339013872568,61.8339013873568,62.22577883649086,62.22577883659086,62.61606112650144,62.616061126601444,63.005599008874405,63.00559900897441,63.3925846364898,63.3925846365898,63.77935757620873,63.77935757630873,64.16496073249712,64.16496073259712,64.54662916270092,64.54662916280093,64.92627705788833,64.92627705798833,65.30475516964519,65.30475516974519,65.68302059350557,65.68302059360558,66.06107332946951,66.06107332956951,66.43508499540063,66.43508499550063,66.80888397343529,66.80888397353529,67.1651362000117,67.1651362001117,67.51883617183056,67.51883617193056,67.87126001627063,67.87126001637063,68.21783494355795,68.21783494365795,68.56355911925942,68.56355911935943,68.90853888732327,68.90853888742328,69.59839207950273,69.59839207960273,69.94262743992896,69.94262744002896,70.28282173032238,70.28282173042238,70.62248430097465,70.62248430107465,70.96129612004106,70.96129612014106,71.29596052512642,71.29596052522642,71.63030589836708,71.63030589846709,71.96103557736788,71.96103557746788,72.29123353662752,72.29123353672752,72.62100612009422,72.62100612019422,72.95014063987153,72.95014063997154,73.27619118515013,73.27619118525013,73.60128463489464,73.60128463499464,73.92605905279446,73.92605905289446,74.24923831147079,74.24923831157079,74.57177950645773,74.57177950655773,74.89166210273889,74.8916621028389,75.20909878821071,75.20909878831071,75.52621644183783,75.52621644193783,75.84301506362027,75.84301506372027,76.15587895931812,76.15587895941812,76.46831747922305,76.46831747932305,76.77394998644115,76.77394998654115,77.07905077391808,77.07905077401809,77.38404521744678,77.38404521754678,77.68744450175201,77.68744450185201,77.989354970782,77.989354970882,78.29009565638144,78.29009565648144,78.58849677511976,78.58849677521977,78.88583445437578,78.88583445447578,79.18157697440833,79.18157697450833,79.47593702311386,79.47593702321386,79.76976535207822,79.76976535217823,80.06189217787089,80.06189217797089,80.34838277440727,80.34838277450727,80.63115133275554,80.63115133285554,80.91296279556971,80.91296279566971,81.19456157048742,81.19456157058742,81.47541593776752,81.47541593786752,81.75222923501481,81.75222923511481,82.02404436669521,82.02404436679521,82.29235014808395,82.29235014818396,82.55725292312928,82.55725292322929,82.82002881920997,82.82002881930997,83.0802524605331,83.0802524606331,83.33781750315043,83.33781750325043,83.59080975599382,83.59080975609382,83.84369566488895,83.84369566498896,84.09551813430177,84.09551813440177,84.34606447633581,84.34606447643581,84.5937395317676,84.5937395318676,84.84120189930292,84.84120189940292,85.08855792289,85.08855792299,85.33506319489123,85.33506319499124,85.57742105291143,85.57742105301143,85.81945987908693,85.81945987918694,86.06011623393542,86.06011623403542,86.29896474166397,86.29896474176397,86.53728152965135,86.53728152975135,87.01231994640266,87.01231994650266,87.24819082358071,87.24819082368072,87.48299826127645,87.48299826137645,87.71589150790402,87.71589150800402,87.94644518767048,87.94644518777048,88.17529736426525,88.17529736436525,88.40393685296354,88.40393685306354,88.63225730981713,88.63225730991714,88.86047142272251,88.86047142282251,89.08294296242336,89.08294296252336,89.3029685913149,89.3029685914149,89.52214346862056,89.52214346872056,89.73876609116867,89.73876609126867,89.95517602582031,89.95517602592031,90.17147961652373,90.17147961662373,90.38438020088371,90.38438020098371,90.59483487443438,90.59483487453438,90.80433245245096,90.80433245255097,91.01372368651931,91.01372368661931,91.22130707346771,91.22130707356771,91.4278270209338,91.4278270210338,91.63094396205648,91.63094396215648,91.83310380764506,91.83310380774506,92.0347319334925,92.0347319335925,92.23497758801291,92.23497758811291,92.4344788348957,92.4344788349957,92.63153417096916,92.63153417106916,92.82593090833683,92.82593090843683,93.02011495780803,93.02011495790804,93.212810192004,93.212810192104,93.40220876380478,93.40220876390478,93.59139464770908,93.59139464780908,93.7788790284417,93.7788790285417,94.15267800647635,94.15267800657635,94.33856722798548,94.33856722808548,94.52318032211582,94.52318032221582,94.7075807283497,94.7075807284497,94.8913430708942,94.8913430709942,95.07297853447405,95.07297853457405,95.25376324646805,95.25376324656806,95.4333781750315,95.43337817513151,95.6124613838538,95.6124613839538,95.7909065289867,95.7909065290867,95.96765017094789,95.9676501710479,96.14407478106439,96.14407478116439,96.32028670328444,96.32028670338444,96.49639228155624,96.49639228165624,96.67185979613865,96.67185979623865,96.8471146228246,96.84711462292461,97.02066794633885,97.02066794643885,97.1929451424743,97.1929451425743,97.36437158702391,97.36437158712391,97.53558534367706,97.53558534377706,97.70616103664081,97.70616103674081,97.87514157038109,97.87514157048109,98.0435903843802,98.0435903844802,98.21129479074169,98.21129479084169,98.37740403787971,98.37740403797972,98.54319425317304,98.54319425327304,98.70845274872521,98.70845274882521,98.87169070926096,98.87169070936096,99.19731587874664,99.19731587884664,99.35895868005892,99.35895868015892,99.5202824495265,99.5202824496265,99.68054277951177,99.68054277961177,99.84048407765235,99.84048407775235,100.0,100.0000000001],[0.0,1e-10,10.518115634118013,10.518115634218013,16.86216309770814,16.86216309780814,21.641755467439946,21.641755467539944,26.137240636449874,26.137240636549873,30.500068746756984,30.500068746856982,34.376073088511966,34.37607308861197,38.06628845586493,38.06628845596493,41.675665928070856,41.67566592817086,45.00535810151167,45.00535810161167,48.22001173185863,48.22001173195863,51.29081536417472,51.29081536427472,54.33985494779738,54.33985494789738,56.94338790927639,56.94338790937639,59.460417413726276,59.46041741382628,61.89799086739062,61.89799086749062,64.09118514572585,64.09118514582585,66.25411703254451,66.25411703264452,68.20839042077851,68.20839042087852,70.0961280030069,70.0961280031069,71.79876753301399,71.79876753311399,73.43355850487204,73.43355850497204,75.01770488088157,75.01770488098157,76.55369398089324,76.55369398099324,78.04622407573612,78.04622407583612,79.50330986270686,79.50330986280686,80.9447117161747,80.9447117162747,82.27611875846812,82.27611875856812,83.42995880031036,83.42995880041036,84.54420900119598,84.54420900129598,85.54804983759874,85.54804983769874,86.49115861431412,86.49115861441412,87.41823799643622,87.41823799653622,88.24921010321687,88.24921010331687,89.02649755655371,89.02649755665371,89.76315878566281,89.76315878576281,90.45235366095481,90.45235366105481,91.1388539397419,91.13885393984191,91.82058685548188,91.82058685558188,92.45257337420828,92.45257337430829,93.05187927378552,93.05187927388552,93.63957768072625,93.63957768082625,94.21097032420141,94.21097032430141,94.77807925015597,94.77807925025597,95.324253234034,95.324253234134,95.86925265020476,95.86925265030476,96.35338182225198,96.35338182235198,96.83688916433653,96.83688916443653,97.24197683890665,97.24197683900665,97.63179513328234,97.63179513338234,98.00876227509619,98.00876227519619,98.35657250088265,98.35657250098265,98.68303323128413,98.68303323138413,98.91380123965257,98.91380123975257,99.07651341321775,99.07651341331776,99.22464712876923,99.22464712886924,99.3669080057844,99.3669080058844,99.50488516527895,99.50488516537895,99.63788768507214,99.63788768517215,99.76778105505198,99.76778105515199,99.88420144250733,99.88420144260733,100.0,100.0000000001],[0.0,1e-10,6.44057461183576,6.44057461193576,10.677340828974508,10.677340829074508,14.270122468216814,14.270122468316814,17.59287152862977,17.59287152872977,20.661865277673176,20.661865277773174,23.610358658655983,23.61035865875598,26.532006695544645,26.532006695644643,29.37986040421071,29.37986040431071,32.20348041990491,32.203480420004915,34.98519254549739,34.98519254559739,37.7100557071258,37.7100557072258,40.23230333052328,40.23230333062328,42.69551549134268,42.695515491442684,45.14390805044495,45.14390805054495,47.2985202263269,47.2985202264269,49.244139576353746,49.24413957645375,51.145482329447034,51.145482329547036,52.981473068410686,52.98147306851069,54.773247946513386,54.77324794661339,56.515401453292746,56.51540145339275,58.22044521970667,58.22044521980667,59.913341771598354,59.913341771698356,61.544773418007516,61.54477341810752,63.096762281441244,63.096762281541245,64.59348131879878,64.59348131889878,65.90191853106164,65.90191853116164,67.13850496942545,67.13850496952546,68.37375521419183,68.37375521429183,69.5106737574007,69.5106737575007,70.63331932354592,70.63331932364592,71.72061649543143,71.72061649553143,72.77299042556551,72.77299042566551,73.79183804361821,73.79183804371822,74.78420473401245,74.78420473411245,75.74820767849724,75.74820767859724,76.69344317654519,76.69344317664519,77.52255130376054,77.52255130386054,78.33532142744347,78.33532142754348,79.12968852112522,79.12968852122522,79.91439857926179,79.91439857936179,80.67347801475644,80.67347801485644,81.41409368417727,81.41409368427728,82.14699587237651,82.14699587247651,82.82517485915305,82.82517485925305,83.48786614741374,83.48786614751374,84.14752063204386,84.14752063214387,84.80043341261415,84.80043341271416,85.44593639232588,85.44593639242588,86.08712711088221,86.08712711098221,86.7140448523749,86.7140448524749,87.33537487518737,87.33537487528737,87.9347791757872,87.9347791758872,88.42552664248561,88.42552664258561,88.91621337311142,88.91621337321142,89.39529951386848,89.39529951396848,89.86412125835425,89.86412125845425,90.30804121306943,90.30804121316943,90.73210047204076,90.73210047214076,91.15561310635859,91.15561310645859,91.57633188133629,91.57633188143629,91.9840531367752,91.9840531368752,92.38642961782433,92.38642961792434,92.76858098669395,92.76858098679395,93.1379777803152,93.1379777804152,93.48289793667414,93.48289793677414,93.82235184649808,93.82235184659808,94.15372785866472,94.15372785876473,94.48346399687088,94.48346399697088,94.80998112322864,94.80998112332864,95.12404735470109,95.12404735480109,95.43440868574427,95.43440868584428,95.71361241153791,95.71361241163791,95.95916835310494,95.95916835320494,96.20332736500193,96.20332736510193,96.43734345277285,96.43734345287285,96.6666828629527,96.6666828630527,96.8827210732307,96.8827210733307,97.09730161776604,97.09730161786604,97.30678033220202,97.30678033230203,97.51553021376668,97.51553021386668,97.71425864335049,97.71425864345049,97.88972515712422,97.88972515722422,98.06270149192089,98.06270149202089,98.23446310526533,98.23446310536534,98.40081920814738,98.40081920824738,98.56480660419759,98.56480660429759,98.72217376833318,98.72217376843318,98.87468204665988,98.87468204675989,99.02257438346813,99.02257438356813,99.16815874951715,99.16815874961715,99.31034189549995,99.31034189559995,99.43594409365988,99.43594409375989,99.55960273749626,99.55960273759626,99.68204665988043,99.68204665998043,99.80412616582892,99.80412616592892,99.90591982352527,99.90591982362527,100.0,100.0000000001],[0.0,1e-10,4.695832290234192,4.695832290334192,9.18261036560482,9.18261036570482,12.363416884145693,12.363416884245693,15.307459902125865,15.307459902225865,18.237030991189958,18.237030991289956,21.146025878003698,21.146025878103696,23.904951663071547,23.904951663171545,26.52162730324864,26.521627303348637,28.77965973820212,28.77965973830212,30.883850767663812,30.88385076776381,32.68392552786532,32.68392552796532,34.48098244507011,34.48098244517011,36.2072572265337,36.2072572266337,37.89752365405917,37.89752365415917,39.57846220323115,39.57846220333115,41.193488317861174,41.193488317961176,42.70652505667029,42.70652505677029,44.17299099105278,44.17299099115278,45.63300971539683,45.63300971549683,47.01641638002874,47.01641638012874,48.385145353722066,48.38514535382207,49.673558551298186,49.67355855139819,50.92829536452457,50.928295364624574,52.17720225378002,52.17720225388002,53.372679604525395,53.3726796046254,54.55793744148642,54.557937441586425,55.740246022791574,55.740246022891576,56.9151471712866,56.9151471713866,57.99203700972912,57.99203700982912,59.042863658654525,59.04286365875453,60.06166001941022,60.06166001951022,61.06077181334641,61.060771813446415,61.9970576030782,61.9970576031782,62.908857712132075,62.90885771223208,63.797543887324714,63.797543887424716,64.66956333869457,64.66956333879457,65.47436719604663,65.47436719614663,66.26003518530585,66.26003518540585,66.95304167709766,66.95304167719766,67.61388070603809,67.61388070613809,68.2520173251623,68.2520173252623,68.87993443050216,68.87993443060216,69.4803480121674,69.4803480122674,70.07088501675246,70.07088501685246,70.64393224942472,70.64393224952472,71.19770643932249,71.19770643942249,71.73892914584755,71.73892914594755,72.27466486510585,72.27466486520585,72.80210151612317,72.80210151622317,73.32206214698952,73.32206214708953,73.84195419051505,73.84195419061506,74.34634549501199,74.34634549511199,74.83715650602369,74.83715650612369,75.32769316767204,75.32769316777204,75.81425176355201,75.81425176365201,76.28290906347415,76.28290906357415,76.74662807485622,76.74662807495622,77.20335117747318,77.20335117757318,77.65623338900339,77.65623338910339,78.10342285124435,78.10342285134435,78.53854094149843,78.53854094159843,78.96193059646981,78.96193059656981,79.37873586672107,79.37873586682107,79.79458091420067,79.79458091430067,80.19801165298921,80.19801165308921,80.60109945507358,80.60109945517358,80.99938614329953,80.99938614339953,81.39678119609464,81.39678119619464,81.7941076615489,81.79410766164891,82.18478115494223,82.18478115504223,82.55899368653527,82.55899368663528,82.92470138786484,82.92470138796484,83.28787135758353,83.28787135768353,83.6480234843055,83.6480234844055,84.00234568705655,84.00234568715655,84.35584484171757,84.35584484181757,84.70543451795102,84.70543451805102,85.04597066519433,85.04597066529433,85.37580718726744,85.37580718736744,85.70324315241136,85.70324315251136,86.02251722399596,86.02251722409596,86.33376657670294,86.33376657680294,86.63596240041976,86.63596240051976,86.93596342922987,86.93596342932987,87.227253865754,87.227253865854,87.51463482385056,87.51463482395056,87.7987921769279,87.7987921770279,88.07663949464848,88.07663949474848,88.35366376427903,88.35366376437904,88.62499528462031,88.62499528472031,88.89522940750825,88.89522940760826,89.16292579878532,89.16292579888533,89.42657553695314,89.42657553705314,89.6900881004393,89.6900881005393,89.94242092736944,89.94242092746944,90.19393070620956,90.19393070630956,90.43995349778291,90.43995349788291,90.68378149444958,90.68378149454958,90.92541469620951,90.92541469630952,91.1667049612653,91.1667049613653,91.39853017328592,91.39853017338592,91.6302867979657,91.6302867980657,91.8553218632437,91.8553218633437,92.07713332350248,92.07713332360248,92.29812173567124,92.29812173577125,92.51225141375656,92.51225141385656,92.72418629693517,92.72418629703517,92.9313886535962,92.9313886536962,93.13591610396469,93.13591610406469,93.33818017208564,93.33818017218564,93.53914108073073,93.53914108083073,93.73200868315735,93.73200868325735,93.9229558400406,93.9229558401406,94.11232548808466,94.11232548818467,94.30046056399371,94.30046056409371,94.4859207336102,94.4859207337102,94.66678555139077,94.66678555149078,94.84648438437718,94.84648438447718,95.02295961234435,95.02295961244435,95.19854320488068,95.19854320498068,95.37001155696693,95.37001155706693,95.53757043062562,95.53757043072562,95.70032819042589,95.7003281905259,95.85979375786611,95.85979375796612,96.01452679878875,96.01452679888875,96.166516346078,96.166516346178,96.31788860729975,96.31788860739975,96.46775194702313,96.46775194712313,96.61720376270152,96.61720376280152,96.76569535560822,96.76569535570822,96.91322672574323,96.91322672584323,97.05904341235738,97.05904341245738,97.19916734968227,97.19916734978227,97.33894835030299,97.33894835040299,97.47680890538034,97.47680890548034,97.61199455416514,97.61199455426514,97.74663150422326,97.74663150432326,97.88065116821389,97.88065116831389,98.01302473602448,98.01302473612448,98.14395796967753,98.14395796977753,98.27399956789975,98.27399956799975,98.40212072057861,98.40212072067861,98.52996752389411,98.52996752399412,98.65644258039293,98.65644258049294,98.78236893816508,98.78236893826508,98.90596332634885,98.90596332644886,99.02612834749091,99.02612834759091,99.14135508009286,99.14135508019287,99.25123200010974,99.25123200020974,99.36062880874077,99.36062880884077,99.46947691864513,99.46947691874513,99.57722763109612,99.57722763119612,99.68415529545712,99.68415529555712,99.79039708640975,99.79039708650976,99.89609017863573,99.89609017873573,100.0,100.0000000001],[0.0,1e-10,2.0547341764651303,2.0547341765651304,3.8933446852835534,3.8933446853835534,5.660771605154846,5.660771605254846,7.399818649476571,7.399818649576571,8.995874782375473,8.995874782475473,10.581015578524543,10.581015578624543,11.956659875767874,11.956659875867874,13.279988523303075,13.279988523403075,14.56924572684058,14.56924572694058,15.81858398455012,15.81858398465012,17.0280032964317,17.028003296531697,18.191968027419325,18.191968027519323,19.32833254976809,19.328332549868087,20.43896806406367,20.438968064163667,21.505162564449215,21.505162564549213,22.562468862052754,22.562468862152752,23.57369684523378,23.573696845333778,24.57447729181139,24.57447729191139,25.55724743275178,25.557247432851778,26.539627740236817,26.539627740336815,27.472109365436896,27.472109365536895,28.38868578565865,28.38868578575865,29.285692566421773,29.28569256652177,30.17388911109396,30.173889111193958,31.052729652837716,31.052729652937714,31.92424132562087,31.924241325720867,32.786319028784526,32.78631902888453,33.63935259578403,33.639352595884034,34.48731832786397,34.48731832796397,35.32686365730832,35.326863657408325,36.16024961815813,36.160249618258135,36.98303210902238,36.983032109122384,37.80215016540634,37.80215016550634,38.61269188577256,38.612691885872565,39.40218259954982,39.40218259964982,40.18450037774862,40.18450037784862,40.96042488727966,40.96042488737966,41.710854288830724,41.710854288930726,42.42081897771634,42.42081897781634,43.12626159851988,43.126261598619884,43.821100749337866,43.82110074943787,44.51406869957017,44.51406869967017,45.20243661502933,45.20243661512933,45.88558076218678,45.88558076228678,46.56786727574246,46.56786727584246,47.22723158212349,47.22723158222349,47.880280586527824,47.880280586627826,48.52054305359664,48.52054305369664,49.156205485892315,49.15620548599232,49.778145780559626,49.77814578065963,50.394160606705604,50.394160606805606,51.009083899176595,51.0090838992766,51.61971902363872,51.619719023738725,52.22520834649021,52.225208346590215,52.801616093572505,52.80161609367251,53.37607467337804,53.376074673478044,53.939929783198025,53.93992978329803,54.48460508701473,54.48460508711473,55.02881259068501,55.02881259078501,55.5667047923786,55.5667047924786,56.1040512272347,56.1040512273347,56.619800888664344,56.619800888764345,57.130716615247636,57.13071661534764,57.63500517308995,57.63500517318995,58.13149706182525,58.13149706192525,58.62697538357663,58.62697538367663,59.11684010357095,59.11684010367095,59.60163698864571,59.60163698874571,60.073335469620666,60.07333546972067,60.540122049058205,60.54012204915821,61.00488149452791,61.00488149462791,61.46776973941193,61.46776973951193,61.93050205091381,61.93050205101381,62.39081739499251,62.39081739509251,62.84894967172125,62.84894967182125,63.30061071309115,63.300610713191155,63.750478520566446,63.75047852066645,64.1990988609846,64.19909886108461,64.64756326802063,64.64756326812063,65.09049203999068,65.09049204009068,65.52640380976439,65.52640380986439,65.95896301182209,65.9589630119221,66.39097644704229,66.3909764471423,66.82135258175002,66.82135258185002,67.24806428197745,67.24806428207745,68.09907071500913,68.09907071510914,68.52188408068305,68.52188408078305,68.93253464255001,68.93253464265001,69.34053433692058,69.34053433702059,69.7468187640876,69.74681876418761,70.14242175457801,70.14242175467801,70.53599761110058,70.53599761120059,70.9289497340946,70.9289497341946,71.3208882901047,71.3208882902047,71.7062776440649,71.7062776441649,72.08963986405728,72.08963986415728,72.46419184795872,72.46419184805872,73.20557711334564,73.20557711344564,73.57077309431864,73.57077309441864,73.93472160823453,73.93472160833453,74.29640908810937,74.29640908820937,74.65014396549506,74.65014396559506,75.00200764229506,75.00200764239506,75.35145435167188,75.35145435177188,75.68975182422565,75.68975182432565,76.02578826273839,76.02578826283839,76.36096706764936,76.36096706774936,76.69466450542998,76.69466450552999,77.02766024299099,77.02766024309099,77.36026614709664,77.36026614719664,77.69045508377911,77.69045508387912,78.01994232024195,78.01994232034195,78.34732445604588,78.34732445614588,78.67416082501234,78.67416082511234,79.00076329390558,79.00076329400558,79.3148131255365,79.3148131256365,79.62098832136934,79.62098832146934,79.91843124780232,79.91843124790232,80.2118978729907,80.2118978730907,80.50123226355237,80.50123226365237,80.79002088727654,80.79002088737654,81.07062300843833,81.07062300853833,81.34748272842876,81.34748272852876,81.62410854834597,81.62410854844597,81.89761570062038,81.89761570072038,82.16987538583766,82.16987538593766,82.44182320429066,82.44182320439066,82.71228965561333,82.71228965571333,82.98088490635031,82.98088490645031,83.24831065672123,83.24831065682123,83.51409910657969,83.5140991066797,83.77263665416861,83.77263665426861,84.02922503448077,84.02922503458078,84.28456594773581,84.28456594783582,84.53522885952664,84.53522885962664,84.7847222709514,84.78472227105141,85.0310190480423,85.0310190481423,85.27630225814927,85.27630225824927,85.51901256745093,85.51901256755093,85.75969574278477,85.75969574288477,85.99967721789896,85.99967721799896,86.23848919264712,86.23848919274712,86.4764435337935,86.4764435338935,86.70839443972746,86.70839443982746,86.93488767728651,86.93488767738651,87.15413001257603,87.15413001267603,87.36814857956384,87.36814857966384,87.58138747964095,87.58138747974095,87.79447044633592,87.79447044643592,88.00482457884343,88.00482457894343,88.20917527613852,88.20917527623853,88.41165477284794,88.41165477294794,88.61257493573595,88.61257493583595,88.81326119855075,88.81326119865075,89.01316779445486,89.01316779455486,89.21237269013932,89.21237269023932,89.60844348077615,89.60844348087615,89.80445174212673,89.80445174222673,89.99929050311125,89.99929050321126,90.19334959718509,90.19334959728509,90.38647309096608,90.38647309106608,90.5787389511453,90.5787389512453,90.77077091125129,90.77077091135129,90.96194523775553,90.96194523785553,91.15210599727584,91.15210599737584,91.34101928973904,91.34101928983904,91.52416304706303,91.52416304716303,91.70535763711027,91.70535763721027,91.88475899326289,91.8847589933629,92.06260101559411,92.06260101569411,92.23631080329862,92.23631080339862,92.4047968227014,92.4047968228014,92.57250317519349,92.57250317529349,92.73904002731953,92.73904002741953,92.90425144569737,92.90425144579737,93.06876116385558,93.06876116395559,93.23202341495666,93.23202341505666,93.55659874988207,93.55659874998207,93.71167449842079,93.7116744985208,93.86480107968274,93.86480107978274,94.01566662690365,94.01566662700365,94.16598640728708,94.16598640738708,94.31576042083302,94.31576042093302,94.46436493401289,94.4643649341129,94.61234571366421,94.61234571376421,94.76001462655124,94.76001462665124,94.90721573929186,94.90721573939186,95.05426091865033,95.05426091875033,95.20068236448024,95.20068236458025,95.49258965584723,95.49258965594723,95.63573650065219,95.63573650075219,95.77872741207501,95.77872741217502,96.06096683374929,96.06096683384929,96.1979543099597,96.1979543100597,96.33377228580406,96.33377228590406,96.4685766946645,96.46857669476451,96.60306923676067,96.60306923686068,96.736626178564,96.736626178664,96.86979328691197,96.86979328701197,97.00249259511351,97.00249259521351,97.13472410316865,97.13472410326865,97.2668776445327,97.2668776446327,97.39801761891285,97.39801761901285,97.52845589307336,97.52845589317336,97.65780263355889,97.65780263365889,97.78707140735335,97.78707140745335,97.91579441431031,97.91579441441031,98.04404962112086,98.04404962122086,98.17012176058144,98.17012176068144,98.29611593335095,98.29611593345095,98.42203213942939,98.42203213952939,98.54693477852392,98.54693477862392,98.67152555085417,98.67152555095417,98.7958824231112,98.7958824232112,98.91860199485576,98.91860199495576,99.04077579976283,99.04077579986283,99.16255977121455,99.16255977131455,99.28410984259305,99.28410984269306,99.40480228036978,99.40480228046978,99.52510488469116,99.52510488479116,99.64493968886612,99.64493968896612,99.76399482613039,99.76399482623039,99.88281606332143,99.88281606342143,100.0,100.0000000001],[0.0,1e-10,16.342285455866953,16.34228545596695,26.698597957786383,26.69859795788638,36.37306860149255,36.37306860159255,44.68012204866893,44.68012204876893,52.82988759214018,52.82988759224018,60.76828998783006,60.76828998793006,66.6927207374948,66.6927207375948,71.58966163228955,71.58966163238955,76.05966101205011,76.05966101215012,79.35590242128228,79.35590242138228,82.6235405555298,82.6235405556298,85.73852752749076,85.73852752759076,88.11097348084996,88.11097348094997,90.47035225384774,90.47035225394774,92.75018381367767,92.75018381377767,94.54460274266266,94.54460274276266,96.0602150123235,96.0602150124235,97.54415291852763,97.54415291862763,98.36618093287625,98.36618093297625,99.01562581858057,99.01562581868058,99.40312492284643,99.40312492294643,99.73167117193339,99.73167117203339,99.89534212226665,99.89534212236666,100.0,100.0000000001],[0.0,1e-10,11.432800548343826,11.432800548443826,21.230842057394682,21.23084205749468,29.360904310758606,29.360904310858604,37.42518693129903,37.42518693139903,45.4184635920245,45.4184635921245,53.01640165584457,53.01640165594457,59.846249870092734,59.846249870192736,66.15154305802605,66.15154305812605,72.28124367359125,72.28124367369125,78.18867521020948,78.18867521030948,81.14929934178316,81.14929934188316,84.05729976709804,84.05729976719805,86.85080158039322,86.85080158049323,89.12533513070923,89.12533513080923,90.77841635083432,90.77841635093432,92.12278384211928,92.12278384221928,93.28537127046002,93.28537127056002,94.25728787269868,94.25728787279868,95.06628724734163,95.06628724744164,95.87234305850663,95.87234305860663,96.53392396835609,96.5339239684561,97.16072277098655,97.16072277108655,97.70287910544505,97.70287910554505,98.23254031330329,98.23254031340329,98.71186057841624,98.71186057851624,99.03961736077696,99.03961736087696,99.26897502116061,99.26897502126062,99.45856453822998,99.45856453832998,99.64064496479438,99.64064496489438,99.7799536118425,99.7799536119425,99.90316276884796,99.90316276894796,100.0,100.0000000001],[0.0,1e-10,1.1914049126651034,1.1914049127651034,2.3419513941817147,2.3419513942817147,3.4299754961661546,3.4299754962661546,4.440099182719129,4.440099182819129,5.437763292740557,5.437763292840557,6.38042566852363,6.38042566862363,7.296372916248074,7.296372916348074,8.160573634413575,8.160573634513575,8.99850821826933,8.99850821836933,9.810401164689784,9.810401164789784,10.604334361154857,10.604334361254857,11.372001423310184,11.372001423410184,12.137760262032751,12.137760262132751,12.901161883573677,12.901161883673677,13.66445125667738,13.66445125677738,14.42055672979893,14.42055672989893,15.174529482613279,15.174529482713279,15.920308099510484,15.920308099610484,16.642851289902918,16.642851290002916,17.36438424436036,17.364384244460357,18.085243708194472,18.08524370829447,18.79757229079978,18.79757229089978,19.508104898409552,19.50810489850955,20.20370846386891,20.20370846396891,20.89919978089105,20.899199780991047,21.56999644172454,21.56999644182454,22.23461943851087,22.234619438610867,22.897446460301655,22.897446460401653,23.555110053980272,23.55511005408027,24.212212405472783,24.21221240557278,24.86280434760647,24.86280434770647,25.51103907255851,25.51103907265851,26.145916233481238,26.145916233581236,26.778885170971208,26.778885171071206,27.408711152218984,27.408711152318983,28.03157773035905,28.03157773045905,28.653770817875788,28.653770817975786,29.250595758580552,29.25059575868055,29.833726389944335,29.833726390044333,30.410009866637633,30.41000986673763,30.985170858958718,30.985170859058716,31.54933150443213,31.549331504532127,32.10114482181122,32.10114482191122,32.64700897201759,32.64700897211759,33.19264862534951,33.192648625449515,33.73604330993702,33.73604331003702,34.26641717580687,34.266417175906874,34.7939848307462,34.7939848308462,35.32076674662497,35.32076674672497,35.8467629234432,35.8467629235432,36.371524367452,36.371524367552,36.8910101349114,36.8910101350114,37.41027140549636,37.41027140559636,37.9262774714019,37.926277471501905,38.44205904043301,38.44205904053301,38.95525889540803,38.95525889550803,39.46677502382473,39.46677502392473,39.97312772412926,39.973127724229265,40.46522487290671,40.46522487300671,40.95485255606529,40.95485255616529,41.439765804860585,41.43976580496059,41.91715840836206,41.917158408462065,42.39095906187246,42.39095906197246,42.863300485698986,42.86330048579899,43.33294794703221,43.33294794713221,43.80237091149098,43.802370911590984,44.26528346659094,44.26528346669094,44.723593835764824,44.723593835864826,45.181679708064266,45.18167970816427,45.6370716178704,45.6370716179704,46.088534832373796,46.0885348324738,46.536630593760556,46.53663059386056,46.980236417658475,46.980236417758476,47.42350549624473,47.42350549634473,47.861723395156034,47.861723395256035,48.29982904563011,48.299829045730114,48.73681221173198,48.73681221183198,49.173234135647746,49.17323413574775,49.60707434550743,49.60707434560743,50.037883847562135,50.03788384766214,50.46835660430518,50.46835660440518,51.32851637873072,51.32851637883072,51.75674416672934,51.75674416682934,52.18104325942522,52.181043259525225,52.60399537087445,52.60399537097445,53.02155955733706,53.021559557437065,53.43833800473913,53.43833800483913,53.84838154590793,53.84838154600793,54.251577932406235,54.25157793250624,54.65443757359288,54.65443757369288,55.0507868054207,55.0507868055207,55.44264609975968,55.44264609985968,55.83203592847978,55.832035928579785,56.21962978220436,56.21962978230436,56.60531541249617,56.60531541259617,56.99066429747632,56.99066429757632,57.3735437168376,57.373543716937604,57.75563739713834,57.75563739723834,58.136945338378524,58.136945338478526,58.51814103118149,58.518141031281495,58.89596927086782,58.895969270967825,59.27054230587475,59.27054230597475,59.64489084400722,59.64489084410722,60.014524947776415,60.01452494787642,60.383934554671164,60.383934554771166,60.75289516781702,60.752895167917025,61.1208455450279,61.1208455451279,61.48441823318715,61.48441823328715,61.843837729169216,61.84383772926922,62.20000202047187,62.20000202057187,62.553360100843996,62.553360100944,62.90492220622058,62.904922206320585,63.25491283347608,63.25491283357608,63.60052577167994,63.60052577177994,63.94580196457215,63.94580196467215,64.28591472935219,64.28591472945219,64.62355802851334,64.62355802861335,64.96075233392563,64.96075233402563,65.29480368309572,65.29480368319572,65.62806929320527,65.62806929330527,65.9607736611287,65.9607736612287,66.285283893135,66.285283893235,66.60743690795965,66.60743690805965,66.92408974936046,66.92408974946046,67.23827312514241,67.23827312524242,67.5494257931194,67.5494257932194,67.86024171578471,67.86024171588471,68.16780243377062,68.16780243387062,68.47525090331929,68.4752509034193,68.78056665256078,68.78056665266078,69.08453542055561,69.08453542065561,69.38637146824324,69.38637146834324,69.68775852218198,69.68775852228198,69.9874618495624,69.9874618496624,70.2870529285056,70.2870529286056,70.58641951057436,70.58641951067436,70.88500035358258,70.88500035368259,71.18301995440468,71.18301995450469,71.47980482241736,71.47980482251737,71.77445697012283,71.77445697022283,72.06866012407943,72.06866012417943,72.36207753897547,72.36207753907547,72.94835112658144,72.94835112668144,73.24053380866805,73.24053380876805,73.53260424231743,73.53260424241743,73.82287870097129,73.82287870107129,74.11270416587625,74.11270416597625,74.40219288546955,74.40219288556955,74.68932438788121,74.68932438798122,74.97421092154845,74.97421092164845,75.25718923178292,75.25718923188292,75.53904505764518,75.53904505774518,75.81989064757246,75.81989064767247,76.09770552969476,76.09770552979477,76.37327544307264,76.37327544317264,76.64716162989221,76.64716162999221,76.92059882296289,76.92059882306289,77.19358702228469,77.19358702238469,77.46601397942037,77.46601397952037,77.73799194280717,77.73799194290717,78.00963316088232,78.00963316098232,78.27521296334751,78.27521296344752,78.53967028144051,78.53967028154051,78.80322961203572,78.80322961213572,79.06566645825873,79.06566645835873,79.3278788076073,79.32787880770731,79.58952991476976,79.58952991486976,79.85050753130889,79.8505075314089,80.37122803157773,80.37122803167773,80.88757084279494,80.88757084289495,81.14372177653357,81.14372177663357,81.39897472277443,81.39897472287443,81.65400317214083,81.65400317224083,81.90869487619558,81.90869487629558,82.16327433181311,82.16327433191312,82.41628230930955,82.41628230940955,82.66648407587546,82.66648407597546,82.91646134556692,82.91646134566692,83.1659896215095,83.1659896216095,83.41394641933098,83.41394641943099,83.6615664718408,83.6615664719408,83.90884977903895,83.90884977913895,84.15523509873934,84.15523509883934,84.39769172313699,84.39769172323699,84.6373421366041,84.6373421367041,84.876880301634,84.876880301734,85.11248977136115,85.11248977146116,85.34574202390667,85.34574202400667,85.57888202801496,85.57888202811496,85.81190978368603,85.81190978378604,86.044376297171,86.044376297271,86.27673056221875,86.27673056231875,86.5075133491454,86.5075133492454,86.7380716391976,86.7380716392976,86.9685176808126,86.9685176809126,87.19739224430649,87.19739224440649,87.42424633593039,87.4242463360304,87.64627374475378,87.64627374485379,87.8657194395211,87.8657194396211,88.0850528858512,88.0850528859512,88.30360059312075,88.30360059322075,88.52068907070641,88.52068907080641,88.73643056704543,88.73643056714543,88.95071283370058,88.95071283380058,89.16477060348127,89.16477060358127,89.3773691435781,89.3773691436781,89.58951868992604,89.58951869002604,89.80043350346455,89.80043350356455,90.00831760919809,90.00831760929809,90.21260976494055,90.21260976504055,90.41667742380857,90.41667742390857,90.62063283423936,90.62063283433936,90.8242514993585,90.8242514994585,91.02775791604041,91.02775791614042,91.23081533897344,91.23081533907344,91.43376051346925,91.43376051356925,91.63558320359284,91.63558320369285,91.83706914840478,91.83706914850478,92.0384428447795,92.0384428448795,92.43961875940782,92.43961875950782,92.63773725110312,92.63773725120312,92.83563124592398,92.83563124602398,93.03262725324707,93.03262725334707,93.2292865152585,93.2292865153585,93.42549678352103,93.42549678362103,93.62092131272303,93.62092131282303,93.81600909661336,93.81600909671336,94.01008664456869,94.01008664466869,94.20405194408681,94.20405194418682,94.39745600141882,94.39745600151882,94.78392737077118,94.78392737087118,94.97598444685654,94.97598444695655,95.16792927450467,95.16792927460467,95.35942510840393,95.35942510850393,95.54934946418209,95.54934946428209,95.73837583246247,95.73837583256247,95.92448374137511,95.92448374147511,96.108683426855,96.108683426955,96.29277086389764,96.29277086399765,96.47674605250309,96.47674605260309,96.65926201142464,96.65926201152465,96.84110447972289,96.84110447982289,97.02227345739779,97.02227345749779,97.20321793819825,97.20321793829825,97.3834889283754,97.3834889284754,97.74335741810634,97.74335741820634,97.92261817234849,97.9226181724485,98.10086869065566,98.10086869075566,98.27754773084172,98.27754773094172,98.45287978978112,98.45287978988112,98.62720161278554,98.62720161288554,98.80141118735274,98.80141118745274,98.97416153223607,98.97416153233607,99.31932547669105,99.31932547679105,99.49129008251383,99.49129008261383,99.66134646490384,99.66134646500385,99.83084160510775,99.83084160520775,100.0,100.0000000001],[0.0,1e-10,4.173974796165158,4.173974796265158,7.839183186724105,7.839183186824105,11.163248762251865,11.163248762351865,14.415628789452175,14.415628789552175,17.54292758419702,17.54292758429702,20.65743017358622,20.65743017368622,23.29994707328675,23.299947073386747,25.933218547128224,25.933218547228222,28.437188050622055,28.437188050722053,30.56370299404407,30.56370299414407,32.6607397680604,32.660739768160404,34.74900008709459,34.749000087194595,36.729062125242024,36.729062125342026,38.6758942269685,38.675894227068504,40.59813885557707,40.59813885567707,42.4692656586026,42.469265658702604,44.33382686935141,44.333826869451414,46.020380134393655,46.02038013449366,47.64938397325526,47.64938397335526,49.2097840724091,49.2097840725091,50.63518755485284,50.63518755495284,52.05549935349015,52.05549935359015,53.421946497122526,53.42194649722253,54.784507882060524,54.784507882160526,56.14016869552401,56.14016869562401,57.46380549767859,57.463805497778594,58.65726938357128,58.657269383671284,59.83478825964907,59.834788259749075,60.93472595351829,60.93472595361829,62.01161707857942,62.01161707867942,63.08160763216604,63.08160763226604,64.14228576405405,64.14228576415405,65.20236093338603,65.20236093348603,66.21058132289984,66.21058132299984,67.17934116291379,67.17934116301379,68.12532241747788,68.12532241757788,69.02494255106758,69.02494255116758,69.87994345551141,69.87994345561141,70.71839638758433,70.71839638768434,71.54599599364879,71.54599599374879,72.35363083952487,72.35363083962487,73.13038060336453,73.13038060346453,73.89815292470338,73.89815292480338,74.665657262684,74.665657262784,75.43081674628006,75.43081674638006,76.15356786343568,76.15356786353568,76.8737731386881,76.8737731387881,77.58868574261538,77.58868574271538,78.29522386659788,78.29522386669788,79.00089104466613,79.00089104476613,79.68625848334818,79.68625848344819,80.3477084073079,80.34770840740791,80.98845661684409,80.98845661694409,81.61359479576318,81.61359479586318,82.23029149889791,82.23029149899791,82.81791200766432,82.81791200776432,83.38335689353691,83.38335689363691,83.91309299692489,83.91309299702489,84.44155617936126,84.44155617946126,84.9473747680269,84.9473747681269,85.4527913816552,85.4527913817552,85.9205563334517,85.9205563335517,86.38644540174054,86.38644540184055,86.83029283881471,86.83029283891472,87.27246537989991,87.27246537999991,87.70505751592826,87.70505751602826,88.13651072268412,88.13651072278412,88.5532918405767,88.5532918406767,88.97000596262973,88.97000596272973,89.38477720533555,89.38477720543555,89.79224590152951,89.79224590162951,90.19844167677188,90.19844167687188,90.57810709954911,90.57810709964912,90.95234585932214,90.95234585942214,91.32645062741604,91.32645062751604,91.6919129322069,91.6919129323069,92.05208256567268,92.05208256577268,92.40173385232777,92.40173385242777,92.74991123051258,92.74991123061258,93.08147364048692,93.08147364058692,93.40834634169218,93.40834634179218,93.73501805537876,93.73501805547876,94.05465520591171,94.05465520601172,94.35955327174183,94.35955327184183,94.64676443592853,94.64676443602853,94.9172936360652,94.9172936361652,95.17804144362636,95.17804144372636,95.43289361730636,95.43289361740636,95.68305608221729,95.6830560823173,95.93221360953484,95.93221360963484,96.18096916181506,96.18096916191506,96.42155122166913,96.42155122176914,96.65824752282883,96.65824752292883,96.8777928890616,96.8777928891616,97.09532838010759,97.09532838020759,97.31118897516464,97.31118897526464,97.5006532094357,97.5006532095357,97.68415481398605,97.68415481408606,97.86323469312556,97.86323469322556,98.03266717136866,98.03266717146866,98.18782953578582,98.18782953588583,98.33146861579895,98.33146861589896,98.46780514930023,98.46780514940023,98.6025337826521,98.6025337827521,98.73645846592926,98.73645846602926,98.86998117416908,98.86998117426909,98.99539738582234,98.99539738592235,99.11806676805371,99.11806676815371,99.2353764831204,99.2353764832204,99.35034134380255,99.35034134390256,99.46336332513751,99.46336332523751,99.57430843544616,99.57430843554616,99.68424860816144,99.68424860826144,99.790504009701,99.790504009801,99.8962234445241,99.8962234446241,100.0,100.0000000001],[0.0,1e-10,1.026333738718841,1.026333738818841,1.9095771491644349,1.909577149264435,2.771012080339767,2.771012080439767,3.5972864020793716,3.5972864021793716,4.383838136576714,4.383838136676714,5.114755995384614,5.114755995484614,5.798830130862003,5.798830130962003,6.472333829958397,6.472333830058397,7.142388228762046,7.142388228862046,7.810884879046391,7.810884879146391,8.468254754192847,8.468254754292847,9.108934466632471,9.108934466732471,9.744050791503149,9.744050791603149,10.366705128219394,10.366705128319394,10.982794667604283,10.982794667704283,11.580525028011657,11.580525028111657,12.17024411031975,12.17024411041975,12.75428853730752,12.75428853740752,13.326761118151888,13.326761118251888,13.876757613217718,13.876757613317718,14.425307627515625,14.425307627615625,14.967292844482177,14.967292844582177,15.486356904664678,15.486356904764678,16.005087161593043,16.00508716169304,16.518810369709357,16.518810369809355,17.026413851499832,17.02641385159983,17.52500464542862,17.525004645528618,18.022705297346377,18.022705297446375,18.516177774711732,18.51617777481173,19.00553334527607,19.00553334537607,19.484429747210797,19.484429747310795,19.954424729035207,19.954424729135205,20.41740984252275,20.41740984262275,20.87994988500478,20.87994988510478,21.335702594652695,21.335702594752693,21.790565162289578,21.790565162389576,22.231296725501345,22.231296725601343,22.668467720668986,22.668467720768984,23.10519364483111,23.10519364493111,23.54147449798772,23.54147449808772,23.972970837835042,23.97297083793504,24.39767984484825,24.397679844948247,24.818271945060435,24.818271945160433,25.237417564504696,25.237417564604694,25.653781490164487,25.653781490264485,26.066251044526016,26.066251044626014,26.477607921373757,26.477607921473755,26.884847891420478,26.884847891520476,27.28774841916342,27.28774841926342,27.68964753714396,27.689647537243957,28.08943256784829,28.08943256794829,28.48610210151402,28.48610210161402,28.87976740589252,28.879767405992517,29.271207355243437,29.271207355343435,29.656527578268516,29.656527578368514,30.041068927033947,30.041068927133946,30.42516520479386,30.425165204893858,30.803809362736207,30.803809362836205,31.1816746464189,31.1816746465189,31.557537110576778,31.557537110676776,31.932175629469487,31.932175629569485,32.30636907735668,32.30636907745668,32.67978365098422,32.67978365108422,33.05108413733556,33.05108413743556,33.416821236117954,33.416821236217956,33.78066678312691,33.78066678322691,34.14273204611381,34.14273204621381,34.50468604134932,34.504686041449325,34.86619496557932,34.86619496567932,35.22737008655518,35.227370086655185,35.58832267202829,35.58832267212829,35.94738370572795,35.94738370582795,36.29876726458247,36.298767264682475,36.64892687817183,36.64892687827183,36.99875268850704,36.99875268860704,37.348022160085364,37.348022160185366,37.69651275740404,37.69651275750404,38.04311180294926,38.043111803049264,38.38692915471002,38.38692915481002,38.730635238719394,38.730635238819396,39.06966807717086,39.06966807727086,39.40747697035716,39.40747697045716,39.74283797301312,39.74283797311312,40.077086298155294,40.077086298255296,40.4095543392754,40.409554339375404,40.74035336412483,40.74035336422483,41.0703735147146,41.070373514814605,41.40017112980162,41.40017112990162,41.72952367388312,41.729523673983124,42.05709593394256,42.057095934042565,42.37899353868168,42.37899353878168,42.700334804663896,42.7003348047639,43.02134226739199,43.02134226749199,43.341014517103524,43.341014517203526,43.659462821549894,43.659462821649896,43.97179139967042,43.971791399770424,44.283563639034064,44.283563639134066,44.59433446863529,44.59433446873529,44.90388135297135,44.90388135307135,45.21276063079914,45.21276063089914,45.52108356987003,45.52108356997003,45.82918397343816,45.829183973538164,46.13561536073561,46.135615360835615,46.441935480281685,46.44193548038169,46.74814433207638,46.74814433217638,47.05290670310315,47.05290670320315,47.35733527087578,47.35733527097578,47.661541303145654,47.661541303245656,47.96329944488519,47.96329944498519,48.26461251561921,48.264612515719215,48.565591783099094,48.565591783199096,48.86601471182209,48.86601471192209,49.16432355326888,49.16432355336888,49.461964788207396,49.4619647883074,49.75949475539454,49.75949475549454,50.05424302879721,50.05424302889721,50.3488800344485,50.3488800345485,50.64162548832634,50.64162548842634,51.226560057325145,51.22656005742515,51.51841536919196,51.518415369291965,51.809046735793615,51.80904673589362,52.09934429914112,52.099344299241125,52.3877503107152,52.3877503108152,52.673485896256174,52.673485896356176,52.95810880428336,52.958108804383365,53.24250917680779,53.242509176907795,53.52435039105051,53.52435039115051,53.805746534287714,53.805746534387715,54.08614126776251,54.08614126786251,54.64559552169554,54.64559552179554,54.92454377440241,54.92454377450241,55.201934278589974,55.201934278689976,55.47876844402064,55.47876844412064,55.75482373519165,55.75482373529165,56.02987761660026,56.02987761670026,56.30214980422439,56.302149804324394,56.5729755110806,56.5729755111806,56.84291107592578,56.84291107602578,57.38166952810234,57.381669528202345,57.65015861217959,57.65015861227959,57.918202625251325,57.91820262535133,58.186024102820305,58.18602410292031,58.45362304488653,58.45362304498653,58.719998041687575,58.719998041787576,58.98570543198036,58.98570543208036,59.25085648351624,59.25085648361624,59.51367091227317,59.51367091237317,59.77615153777596,59.77615153787596,60.03852089552737,60.03852089562737,60.300556450024644,60.300556450124645,60.562480736770546,60.56248073687055,60.822958542748516,60.82295854284852,61.080098316185115,61.08009831628512,61.33645921536207,61.33645921546207,61.59248631128489,61.59248631138489,61.84806833620219,61.84806833630219,62.102648951357075,62.10264895145708,62.35633942450094,62.35633942460094,62.609807362142035,62.60980736224204,62.862941496529004,62.862941496629006,63.11574182766183,63.11574182776183,63.3683196232919,63.368319623391905,63.62078615117059,63.62078615127059,63.87225126928687,63.87225126938687,64.12282624539212,64.12282624549212,64.37317868599462,64.37317868609462,64.87243708643167,64.87243708653168,65.1205641720066,65.1205641721066,65.36857998983012,65.36857998993013,65.61648453990229,65.61648454000229,65.86427782222306,65.86427782232306,66.1101795527704,66.1101795528704,66.3551911413067,66.3551911414067,66.84287769560036,66.84287769570037,67.08544139360633,67.08544139370633,67.32767128835816,67.32767128845816,67.56967864760725,67.56967864770725,67.81135220360218,67.81135220370219,68.29425424458654,68.29425424468654,68.53514892632184,68.53514892642184,68.77481966279196,68.77481966289196,69.01415659600794,69.01415659610794,69.25327099372116,69.25327099382116,69.49160651717473,69.49160651727473,69.72983077287692,69.72983077297692,69.96772122532498,69.96772122542498,70.20505533901616,70.20505533911616,70.44205564945318,70.44205564955318,70.67883342438745,70.67883342448745,70.91505486056482,70.91505486066482,71.15105376123944,71.15105376133944,71.3868301264113,71.3868301265113,71.62171634957213,71.62171634967213,71.85615750172744,71.85615750182744,72.32325952201599,72.32325952211599,72.55525278364097,72.55525278374097,72.78657843875767,72.78657843885767,73.017792826123,73.017792826223,73.24856214248281,73.24856214258281,73.47844131683158,73.47844131693158,73.70798668792622,73.70798668802622,73.93742079126949,73.93742079136949,74.16663235911,74.16663235921,74.3947312494367,74.3947312495367,74.62227380100653,74.62227380110653,74.84970508482498,74.84970508492498,75.07680256538927,75.07680256548927,75.30267610068842,75.30267610078842,75.52788202947927,75.52788202957927,75.9777375483041,75.97773754840411,76.2022758705867,76.2022758706867,76.42670292511792,76.42670292521792,76.8742218211638,76.8742218212638,77.09697985942432,77.09697985952432,77.31795761366278,77.31795761376279,77.53882410014988,77.53882410024988,77.98033453762129,77.98033453772129,78.20031088209736,78.20031088219736,78.41906328130824,78.41906328140824,78.63737060951361,78.63737060961361,78.85545540221624,78.85545540231624,79.07231624965368,79.07231624975368,79.28728554531769,79.28728554541769,79.50136469897066,79.50136469907066,79.71522131712088,79.71522131722088,79.92896666751972,79.92896666761972,80.14237821466442,80.14237821476442,80.35556722630636,80.35556722640636,80.56708722167762,80.56708722177763,80.77805087829199,80.778050878392,80.98801312514395,80.98801312524395,81.19730776548764,81.19730776558764,81.4051559250634,81.4051559251634,81.61289281688778,81.61289281698778,81.81973956670112,81.81973956680112,82.02636378101171,82.02636378111171,82.23287672757093,82.23287672767093,82.43927840637876,82.43927840647876,82.64434487217004,82.64434487227004,82.84896626695581,82.84896626705581,83.05180737771953,83.05180737781953,83.25420341747771,83.25420341757771,83.45648818948453,83.45648818958453,83.65810535498306,83.65810535508307,83.85961125273023,83.85961125283023,84.06089461497464,84.06089461507464,84.26128783520801,84.26128783530801,84.46101344893312,84.46101344903312,84.66040525940407,84.66040525950407,84.85946326662089,84.8594632667209,85.05785366732945,85.05785366742946,85.25602153253524,85.25602153263524,85.45385559448691,85.45385559458691,85.65124458543305,85.65124458553305,85.84707582785988,85.84707582795988,86.04279580253535,86.04279580263535,86.23807070620529,86.2380707063053,86.4330118066211,86.4330118067211,86.62728530052863,86.62728530062863,86.82111372343066,86.82111372353066,87.0148308785813,87.0148308786813,87.59542600527632,87.59542600537632,87.78803048291317,87.78803048301317,87.98041242504726,87.98041242514726,88.17246056392722,88.17246056402722,88.36439743505579,88.3643974351558,88.5556666996761,88.5556666997761,88.93809396116534,88.93809396126534,89.12891815478012,89.12891815488013,89.31940854514077,89.31940854524078,89.50934259674453,89.50934259684453,89.69894284509415,89.69894284519415,89.88798675468688,89.88798675478688,90.0760292545172,90.0760292546172,90.26384921884475,90.26384921894476,90.63904407649436,90.63904407659436,90.82619643431364,90.82619643441365,91.01268118562466,91.01268118572466,91.19716311741084,91.19716311751084,91.56601571323185,91.56601571333185,91.93408943479321,91.93408943489321,92.11768122456836,92.11768122466836,92.300827943338,92.30082794343801,92.48352959110214,92.48352959120214,92.66578616786076,92.66578616796076,92.84737513811109,92.84737513821109,93.02874157285868,93.02874157295868,93.20966293660075,93.20966293670075,93.57117186083075,93.57117186093075,93.75031294055076,93.75031294065076,93.92912021701662,93.92912021711662,94.28662350219699,94.28662350229699,94.46487443990596,94.46487444000596,94.64268030660942,94.64268030670942,94.99818077226496,94.99818077236496,95.17565283571427,95.17565283581428,95.35245729265533,95.35245729275533,95.52903921409361,95.52903921419362,95.70539860002916,95.70539860012916,96.23425422233299,96.234254222433,96.4102798050144,96.4102798051144,96.58552651343614,96.58552651353614,96.75988307984684,96.75988307994685,96.93401711075481,96.93401711085481,97.10770607065724,97.10770607075725,97.28094995955418,97.28094995965418,97.45397131294834,97.45397131304834,97.62654759533699,97.62654759543699,97.798345003466,97.798345003566,98.14182855197261,98.14182855207261,98.31306962134471,98.31306962144471,98.48330928095442,98.48330928105442,98.82367733242242,98.82367733252242,98.9929155822697,98.9929155823697,99.16159749336009,99.16159749346009,99.32994560119636,99.32994560129636,99.49807117352985,99.49807117362985,99.6654178716037,99.6654178717037,100.0,100.0000000001],[0.0,1e-10,2.1434198608006114,2.1434198609006114,3.8126818189080605,3.8126818190080605,5.34589069296125,5.34589069306125,6.749683218767705,6.749683218867705,8.11918594290195,8.11918594300195,9.486722226796926,9.486722226896926,10.775355096091332,10.775355096191332,12.059317669817478,12.059317669917478,13.34143670581931,13.34143670591931,14.578081811288104,14.578081811388104,15.735946404671278,15.735946404771278,16.851655435425176,16.851655435525174,17.956180337318244,17.956180337418242,19.006628132631477,19.006628132731475,20.02450676148186,20.024506761581858,21.04140217021261,21.041402170312608,22.03187353822821,22.03187353832821,22.959541721102237,22.959541721202235,23.868037111643414,23.868037111743412,24.72601956853843,24.726019568638428,25.58019204746987,25.580192047569867,26.38962801095799,26.389628011057987,27.186282112890876,27.186282112990874,27.97986365194991,27.979863652049907,28.75267466598169,28.75267466608169,29.49389973367025,29.49389973377025,30.229962895730736,30.229962895830734,30.96246188485755,30.96246188495755,31.670257468478578,31.670257468578576,32.373136951501436,32.37313695160144,33.06655294087283,33.066552940972834,33.74694126365908,33.74694126375908,34.41172096704615,34.41172096714615,35.07232198492478,35.07232198502478,35.72530304687625,35.72530304697625,36.359602926554686,36.35960292665469,36.99095314587422,36.990953145974224,37.604974110585225,37.60497411068523,38.21026899673448,38.21026899683448,38.81150809989025,38.81150809999025,39.40893722508244,39.40893722518244,40.001696054706365,40.00169605480637,40.59175102900131,40.59175102910131,41.17480055994386,41.17480056004386,41.75293399028824,41.75293399038824,42.32307875716061,42.32307875726061,42.88314551780673,42.88314551790673,43.434117492346246,43.43411749244625,43.9833688316764,43.9833688317764,44.53114534082711,44.53114534092711,45.07744701979836,45.077447019898365,45.61772647553687,45.61772647563687,46.153827245766934,46.153827245866935,46.68378289024928,46.683782890349285,47.2111575819176,47.2111575820176,47.726242022090496,47.7262420221905,48.23260038370165,48.23260038380165,48.73195330196042,48.73195330206042,49.22221143411257,49.222211434212575,49.7055870254273,49.7055870255273,50.18466102871863,50.18466102881863,50.66361212949501,50.66361212959501,51.140719692547066,51.14071969264707,51.61426308266546,51.61426308276546,52.08473390991,52.08473391001,52.54291448565912,52.54291448575912,52.99667057086989,52.99667057096989,53.44821441081149,53.44821441091149,53.896685687879234,53.896685687979236,54.3442966473423,54.3442966474423,54.78109218548939,54.781092185589394,55.21764191860658,55.21764191870658,55.65345423663405,55.65345423673405,56.083490136458664,56.083490136558666,56.51008476586456,56.510084765964564,56.93102587958258,56.93102587968258,57.34643638012765,57.34643638022765,57.75705368258951,57.75705368268951,58.16730227750651,58.16730227760651,58.57484701709451,58.574847017194514,58.98017951141334,58.98017951151334,59.38121041770878,59.38121041780878,59.7803977862799,59.7803977863799,60.17737290958185,60.17737290968185,60.57090676246508,60.57090676256508,60.9639490052885,60.9639490053885,61.35527061290255,61.35527061300255,61.742167729978256,61.74216773007826,62.128819042024055,62.12881904212406,62.51362681634554,62.513626816445544,62.897697175577306,62.89769717567731,63.27648272666604,63.27648272676604,63.653670545060365,63.65367054516037,64.02422162764717,64.02422162774717,64.39108563478534,64.39108563488534,64.75782673940857,64.75782673950857,65.12333881888225,65.12333881898225,65.48159964997363,65.48159965007363,65.8332237452575,65.8332237453575,66.183127205332,66.183127205432,66.53241615283173,66.53241615293173,66.87752641482302,66.87752641492303,67.22202216423955,67.22202216433955,67.56528888850653,67.56528888860653,67.90806400271369,67.90806400281369,68.2507162144059,68.2507162145059,68.93516032018563,68.93516032028563,69.27670640924325,69.27670640934325,69.6012919512372,69.6012919513372,69.92243622281242,69.92243622291242,70.24284307929793,70.24284307939793,70.55968576284977,70.55968576294977,70.87566812879692,70.87566812889692,71.18906954193004,71.18906954203004,71.50136483242856,71.50136483252857,71.81341431789718,71.81341431799719,72.12325155809663,72.12325155819663,72.4290330153026,72.4290330154026,72.73174190963469,72.7317419097347,73.0330988763023,73.0330988764023,73.32978554740166,73.32978554750166,73.62278514305238,73.62278514315238,73.91566183618815,73.91566183628815,74.20669499159962,74.20669499169962,74.7864261546384,74.78642615473841,75.07364933208628,75.07364933218628,75.3607496070192,75.3607496071192,75.64649795428764,75.64649795438764,75.93126308143644,75.93126308153644,76.2123411331366,76.2123411332366,76.48801147417879,76.48801147427879,76.76306730264622,76.76306730274622,77.03419025063509,77.0341902507351,77.30088870808564,77.30088870818564,77.56746426302121,77.56746426312121,77.83317950035212,77.83317950045212,78.09766571253347,78.09766571263347,78.36190611968493,78.36190611978493,78.62553201426161,78.62553201436161,78.88817468871865,78.88817468881865,79.14823641036166,79.14823641046166,79.40510266661586,79.40510266671586,79.66110860526538,79.66110860536538,79.91539390870555,79.91539390880556,80.1691876020859,80.1691876021859,80.42236678289147,80.42236678299147,80.6754230611821,80.6754230612821,80.92835643695777,80.92835643705777,81.18055239764371,81.18055239774371,81.43188804072497,81.43188804082497,81.68101143853707,81.68101143863707,81.92976612880429,81.92976612890429,82.17839791655656,82.17839791665656,82.4258006791593,82.4258006792593,82.67160570906762,82.67160570916762,82.91642751885632,82.91642751895633,83.16038901104034,83.16038901114034,83.40201535544021,83.40201535554021,83.64315008978029,83.6431500898803,83.88403901909045,83.88403901919045,84.12296150816134,84.12296150826134,84.36016336202287,84.36016336212288,84.59638199576477,84.59638199586477,84.83198611693192,84.83198611703192,85.06697572552427,85.06697572562427,85.30061340645214,85.30061340655215,85.5340052823501,85.5340052824501,85.76543071800879,85.76543071810879,85.99488971342821,85.99488971352821,86.22410290381772,86.22410290391772,86.45307028917733,86.45307028927733,86.68130025944721,86.68130025954721,86.90916152217223,86.90916152227223,87.13665407735239,87.13665407745239,87.36144277720355,87.36144277730355,87.80487505115818,87.80487505125818,88.022535405142,88.022535405242,88.23872092894636,88.23872092904637,88.45478355023579,88.45478355033579,88.67072326901025,88.67072326911025,88.88543396263518,88.88543396273518,89.0998988512302,89.0998988513302,89.31387212976539,89.31387212986539,89.52735379824077,89.52735379834077,89.73960644156661,89.73960644166661,89.95112166980273,89.95112166990273,90.16042465276966,90.16042465286966,90.3692360256768,90.3692360257768,90.5775557885241,90.5775557886241,90.78550684382654,90.78550684392654,90.99333499661404,90.99333499671404,91.20104024688658,91.20104024698658,91.40825388709929,91.4082538871993,91.61534462479706,91.61534462489706,91.82218955746491,91.82218955756491,92.028419977558,92.028419977658,92.23452749513613,92.23452749523614,92.43989759762454,92.43989759772454,92.64366996741855,92.64366996751855,92.84719653218264,92.84719653228264,93.05023148688691,93.05023148698692,93.25216031895661,93.25216031905661,93.45359754096648,93.45359754106649,93.65429734788663,93.65429734798663,93.85438264223201,93.85438264233201,94.0536076189727,94.05360761907271,94.25270969319845,94.25270969329846,94.45156596239428,94.45156596249429,94.6499306215303,94.6499306216303,94.84817237815138,94.84817237825138,95.24367267127387,95.24367267137387,95.44043959771548,95.44043959781548,95.63659201158234,95.63659201168234,95.83262152293422,95.83262152303422,96.02803652171134,96.02803652181134,96.22222249533893,96.22222249543893,96.41628556645155,96.41628556655155,96.60924251492958,96.60924251502958,96.80183075586275,96.80183075596275,96.99417319176602,96.99417319186603,97.1854095050347,97.1854095051347,97.37615420824356,97.37615420834356,97.56677600893747,97.56677600903747,97.75727490711643,97.75727490721643,97.94715929272061,97.94715929282061,98.13630626323507,98.13630626333507,98.32508452620466,98.32508452630466,98.51238795899481,98.51238795909481,98.69919978172513,98.69919978182513,98.8858887019405,98.8858887020405,99.07233181712597,99.07233181722597,99.25828332225163,99.25828332235163,99.44411192486231,99.44411192496231,99.6296947224431,99.6296947225431,99.81490881247903,99.81490881257903,100.0,100.0000000001],[0.0,1e-10,6.5320844593047225,6.5320844594047225,12.999816791096046,12.999816791196046,19.374036244828165,19.374036244928163,24.84770759858929,24.84770759868929,29.971831631017267,29.971831631117265,34.96854913815478,34.96854913825478,39.14479610375731,39.14479610385731,42.90836501320631,42.90836501330631,46.58048214476557,46.58048214486557,50.06282538664713,50.06282538674713,53.52295454892441,53.52295454902441,56.6002534389838,56.6002534390838,59.53869524725568,59.53869524735568,61.96170933907388,61.96170933917388,64.27197361791784,64.27197361801784,66.15314737629582,66.15314737639582,67.82408891738805,67.82408891748806,69.37663170430083,69.37663170440084,70.86856287882257,70.86856287892257,72.2797294615185,72.2797294616185,73.6298264095635,73.62982640966351,74.96450327485915,74.96450327495916,76.29658468068214,76.29658468078215,77.61927663017757,77.61927663027757,78.93021267500268,78.93021267510268,80.23832424922517,80.23832424932517,81.44994580069925,81.44994580079926,82.53469518618604,82.53469518628604,83.57684850150385,83.57684850160385,84.59274187392174,84.59274187402174,85.58802424464496,85.58802424474496,86.5067405609246,86.5067405610246,87.38125772912564,87.38125772922564,88.22325531687507,88.22325531697507,89.06380250080154,89.06380250090155,89.88442571642315,89.88442571652315,90.68069741522771,90.68069741532771,91.46154903128291,91.46154903138292,92.23377456144368,92.23377456154368,92.85042519733126,92.85042519743126,93.46234293653339,93.46234293663339,94.06448953419137,94.06448953429137,94.5975511076505,94.5975511077505,95.10137559352052,95.10137559362052,95.59428388219668,95.59428388229668,96.04154261897128,96.04154261907128,96.46208339058612,96.46208339068612,96.87850196186201,96.87850196196202,97.26751553458831,97.26751553468831,97.5612604772592,97.5612604773592,97.83019588085314,97.83019588095314,98.08035237179193,98.08035237189193,98.2962335302829,98.2962335303829,98.5021908731431,98.50219087324311,98.6952472556833,98.6952472557833,98.88639521214064,98.88639521224064,99.05006183300509,99.05006183310509,99.21288874639308,99.21288874649308,99.36502847371716,99.36502847381716,99.50793141880028,99.50793141890028,99.63770439243348,99.63770439253348,99.76671399563352,99.76671399573353,99.88496007572634,99.88496007582634,100.0,100.0000000001],[0.0,1e-10,4.730575598966234,4.730575599066234,8.806022879569289,8.806022879669289,12.839036585038036,12.839036585138036,15.867565004012949,15.867565004112949,18.823994746684996,18.823994746784994,21.77389624702869,21.77389624712869,24.696532735295133,24.69653273539513,27.332982600314125,27.332982600414123,29.899541870994252,29.89954187109425,32.26535769007746,32.26535769017746,34.62531729177787,34.62531729187787,36.915770313394034,36.915770313494036,39.204495270864456,39.20449527096446,41.48400388622426,41.48400388632426,43.53118387754554,43.53118387764554,45.51768961663857,45.51768961673857,47.43795289681153,47.43795289691153,49.31664663392305,49.31664663402305,50.989796741255034,50.989796741355036,52.643074110910995,52.643074111010996,54.29510343423948,54.29510343433948,55.924667923673326,55.92466792377333,57.535799728885934,57.535799728985936,58.99140576098185,58.99140576108185,60.44067555787671,60.44067555797671,61.87794490931503,61.877944909415035,63.31214214671649,63.31214214681649,64.74038716317149,64.74038716327149,66.12850269001986,66.12850269011986,67.2617287553714,67.2617287554714,68.36605774806361,68.36605774816361,69.45118602802536,69.45118602812536,70.52248979482118,70.52248979492119,71.58140910190586,71.58140910200586,72.61680753589573,72.61680753599573,73.61774069053443,73.61774069063443,74.60302526429781,74.60302526439781,75.58514172046067,75.58514172056067,76.53096882956295,76.53096882966295,77.46143536848088,77.46143536858088,78.37826940136019,78.37826940146019,79.27388664667232,79.27388664677233,80.1686398599116,80.1686398600116,81.0456324138752,81.0456324139752,81.89872008048938,81.89872008058938,82.68038109574627,82.68038109584627,83.43708118445356,83.43708118455356,84.1808207920678,84.18082079216781,84.91659210389889,84.9165921039989,85.6040736232129,85.6040736233129,86.27264244048739,86.27264244058739,86.90780201761089,86.90780201771089,87.5282730494956,87.5282730495956,88.12896734726793,88.12896734736793,88.67839574204994,88.67839574214995,89.2069913635194,89.20699136361941,89.73078680680626,89.73078680690627,90.24690196500094,90.24690196510095,90.75245673119386,90.75245673129386,91.25023520873094,91.25023520883094,91.74743766488612,91.74743766498612,92.23465575042145,92.23465575052145,92.70948937624564,92.70948937634564,93.15513791871955,93.15513791881955,93.58532988744543,93.58532988754543,93.99785720045928,93.99785720055928,94.4066403744907,94.40664037459071,94.77846217651599,94.77846217661599,95.14711586094076,95.14711586104076,95.48591243706966,95.48591243716966,95.81866078868848,95.81866078878848,96.13057636699475,96.13057636709475,96.41705100093316,96.41705100103316,96.70016551014373,96.70016551024374,96.9591831248776,96.9591831249776,97.20658430840953,97.20658430850953,97.44659321754024,97.44659321764024,97.67920985226972,97.67920985236972,97.88820961034074,97.88820961044074,98.09567331139331,98.09567331149331,98.30227298037303,98.30227298047303,98.48928792236768,98.48928792246768,98.67361476458007,98.67361476468007,98.85717357828322,98.85717357838323,99.03708425656761,99.03708425666761,99.2133467994332,99.2133467995332,99.38317710353408,99.38317710363408,99.55137534705288,99.55137534715288,99.70574907740576,99.70574907750576,99.85589865095793,99.85589865105793,100.0,100.0000000001],[0.0,1e-10,3.131769274183815,3.131769274283815,6.206471713895635,6.206471713995635,9.20575942492258,9.20575942502258,12.034544271096765,12.034544271196765,14.774031381177851,14.774031381277851,17.459451502608818,17.459451502708816,20.138313821545452,20.13831382164545,22.7512492962571,22.7512492963571,25.22214555949566,25.22214555959566,27.510190755312344,27.510190755412342,29.742424866070838,29.742424866170836,31.903778898805434,31.903778898905433,33.99739222705065,33.997392227150655,35.98412732740945,35.984127327509455,37.88023917840502,37.88023917850502,39.63117244439297,39.631172444492975,41.35043291961041,41.350432919710414,43.046671322241345,43.046671322341346,44.67495972881394,44.67495972891394,46.25629706008133,46.25629706018133,47.78342787498596,47.78342787508596,49.24316680468283,49.24316680478283,50.66202411457458,50.66202411467458,52.025488922546074,52.025488922646076,53.331259021338674,53.331259021438676,54.63577337071746,54.63577337081746,55.90924280403263,55.90924280413263,57.11873878109986,57.11873878119986,58.327397591891206,58.32739759199121,59.45771159203213,59.457711592132135,60.58565362105808,60.58565362115808,61.70320083549194,61.70320083559194,62.79347038210362,62.79347038220362,63.869019755031196,63.8690197551312,64.89699017794666,64.89699017804666,65.89265993538471,65.89265993548472,66.8703306178915,66.8703306179915,67.83921105450162,67.83921105460162,68.79609210782422,68.79609210792422,69.74850827434219,69.74850827444219,70.68990175156114,70.68990175166114,71.62976042394101,71.62976042404101,72.5648053902346,72.5648053903346,73.49301349860856,73.49301349870856,74.41180348637896,74.41180348647896,75.31957078485036,75.31957078495036,76.21164121564915,76.21164121574915,77.02732022377455,77.02732022387455,77.78865318782454,77.78865318792454,78.53449857577087,78.53449857587087,79.2695305659872,79.2695305660872,79.99263293677232,79.99263293687233,80.68566708548235,80.68566708558235,81.34312166746778,81.34312166756779,81.99401844695889,81.99401844705889,82.6084287295932,82.6084287296932,83.17323691038204,83.17323691048205,83.72353420905577,83.72353420915577,84.25339069782693,84.25339069792693,84.77996828535092,84.77996828545092,85.26712929405257,85.26712929415257,85.74849990267943,85.74849990277943,86.1974303181162,86.1974303182162,86.63666355752413,86.63666355762413,87.0750596306562,87.0750596307562,87.50892105312727,87.50892105322727,87.93873617193162,87.93873617203162,88.36408640393134,88.36408640403134,88.78699490095974,88.78699490105974,89.20111315209148,89.20111315219148,89.61202226583238,89.61202226593238,90.02202444944109,90.02202444954109,90.42846867637734,90.42846867647734,90.82382045015827,90.82382045025827,91.21268418530117,91.21268418540117,91.59464129866814,91.59464129876814,91.97520313490865,91.97520313500866,92.35025362649966,92.35025362659967,92.70360755877431,92.70360755887431,93.05570574163514,93.05570574173514,93.40745510521435,93.40745510531436,93.74518193367271,93.74518193377271,94.07139772583781,94.07139772593781,94.39579965773852,94.39579965783852,94.719503951076,94.71950395117601,95.01739561757407,95.01739561767407,95.31375247923305,95.31375247933305,95.60773736977704,95.60773736987704,95.86732867915393,95.86732867925393,96.12629211382392,96.12629211392392,96.37786057972369,96.37786057982369,96.6147786357957,96.6147786358957,96.85051070631022,96.85051070641022,97.08017332132465,97.08017332142465,97.3086499507816,97.3086499508816,97.52554578008898,97.52554578018898,97.71732662112016,97.71732662122017,97.89564303788107,97.89564303798107,98.05791376768775,98.05791376778775,98.2194868589312,98.2194868590312,98.3754090778125,98.37540907791251,98.52491302191213,98.52491302201213,98.6638128598507,98.6638128599507,98.79782922784666,98.79782922794666,98.92933409701502,98.92933409711502,99.05881581435001,99.05881581445001,99.18564650514473,99.18564650524473,99.31087262724404,99.31087262734404,99.43079669626282,99.43079669636282,99.5494650158678,99.5494650159678,99.66708687762792,99.66708687772793,99.77961597787649,99.77961597797649,99.89019169014801,99.89019169024802,100.0,100.0000000001],[0.0,1e-10,5.115491582163461,5.115491582263461,10.032973117110789,10.032973117210789,13.559458165692323,13.559458165792323,16.97842450826791,16.978424508367908,20.38271947362954,20.382719473729537,23.530747244297707,23.530747244397705,26.529705255244483,26.52970525534448,29.364172496843512,29.36417249694351,32.15773122679486,32.15773122689486,34.84216489557085,34.842164895670855,37.513854813336174,37.513854813436176,40.15320344702401,40.153203447124014,42.65740406579202,42.657404065892024,45.03630898134593,45.036308981445934,47.21881020485312,47.21881020495312,49.39510018837191,49.395100188471915,51.501353086504366,51.50135308660437,53.60717762325831,53.60717762335831,55.570786182347014,55.570786182447016,57.52764804972419,57.527648049824194,59.482903561931955,59.48290356203196,61.41556301142333,61.41556301152333,63.33676379403956,63.336763794139564,65.23526142359479,65.2352614236948,66.98715237135505,66.98715237145505,68.72544284534762,68.72544284544762,70.44991866488326,70.44991866498326,72.02243328539255,72.02243328549255,73.54793524461041,73.54793524471042,75.01143189428898,75.01143189438898,76.4556522819346,76.4556522820346,77.72917066024411,77.72917066034411,78.9644577855216,78.9644577856216,80.17040215637118,80.17040215647118,81.34978812175315,81.34978812185315,82.52349829886988,82.52349829896988,83.69678011460809,83.69678011470809,84.85763945036952,84.85763945046952,85.89170381809205,85.89170381819206,86.87211592315626,86.87211592325626,87.80712172209842,87.80712172219842,88.68354910252937,88.68354910262937,89.53095499956629,89.53095499966629,90.35630028560995,90.35630028570995,91.13441872967292,91.13441872977292,91.88908438826248,91.88908438836248,92.64021606547932,92.64021606557932,93.33823093176096,93.33823093186096,93.97092068781987,93.97092068791987,94.52147214954952,94.52147214964953,95.06656200370318,95.06656200380318,95.58841325307269,95.58841325317269,96.07096234596392,96.07096234606392,96.53830460991807,96.53830461001807,96.9771608422013,96.9771608423013,97.32156339052315,97.32156339062315,97.65322218783432,97.65322218793432,97.98081155204966,97.98081155214966,98.29994077903942,98.29994077913942,98.60300645433507,98.60300645443508,98.89525600482335,98.89525600492335,99.14124252643258,99.14124252653258,99.38230289218893,99.38230289228893,99.60087428557354,99.60087428567354,99.81494788448379,99.81494788458379,100.0,100.0000000001],[0.0,1e-10,9.615101698368603,9.615101698468603,14.978895811109354,14.978895811209354,19.587469584053274,19.587469584153272,23.719237036020235,23.719237036120234,27.84263298532094,27.842632985420938,31.801676639629587,31.801676639729585,35.28957704829434,35.28957704839434,38.65645999929827,38.65645999939827,41.81350138714568,41.81350138724568,44.935148554161465,44.93514855426147,47.89712161885164,47.897121618951644,50.70526832204924,50.705268322149244,53.47445060474873,53.474450604848734,56.095223380622066,56.09522338072207,58.62267852383324,58.62267852393324,60.8848308987239,60.8848308988239,63.03476820478665,63.03476820488665,65.13472271551849,65.1347227156185,67.0938390049238,67.0938390050238,68.9702251503331,68.97022515043311,70.81884991557709,70.81884991567709,72.4246395483328,72.42463954843281,73.94973035759243,73.94973035769243,75.46663432968577,75.46663432978578,76.97670567827946,76.97670567837946,78.38170235737822,78.38170235747822,79.61994608998504,79.61994609008504,80.75803956643003,80.75803956653003,81.83199255921146,81.83199255931146,82.82143030816363,82.82143030826363,83.66178144345635,83.66178144355635,84.4930839692495,84.4930839693495,85.31546099587642,85.31546099597642,86.11567816250441,86.11567816260441,86.81709928663717,86.81709928673718,87.46693718110576,87.46693718120576,88.0422933239113,88.0422933240113,88.59395072755129,88.59395072765129,89.11753897519266,89.11753897529266,89.61952135933505,89.61952135943505,90.10506851397825,90.10506851407825,90.5683326982892,90.5683326983892,90.99472533776859,90.99472533786859,91.41908665674808,91.41908665684808,91.8283054047283,91.8283054048283,92.23610838387525,92.23610838397525,92.60894802835723,92.60894802845723,92.97606304233949,92.97606304243949,93.34059273932188,93.34059273942188,93.67871526980552,93.67871526990552,94.01640691412254,94.01640691422254,94.35225190343964,94.35225190353964,94.6640903777579,94.6640903778579,94.96337159807678,94.96337159817678,95.25132666772951,95.25132666782952,95.5370041962157,95.5370041963157,95.8172648700355,95.8172648701355,96.09198557885556,96.09198557895556,96.35691901617608,96.35691901627608,96.62080601566333,96.62080601576334,96.87976860181747,96.87976860191748,97.10832293563976,97.10832293573976,97.32542800846261,97.32542800856261,97.52714428961953,97.52714428971953,97.70245340427772,97.70245340437772,97.8592959689368,97.85929596903681,98.01496898542928,98.01496898552928,98.16978022958845,98.16978022968846,98.32409903241434,98.32409903251434,98.47786383874023,98.47786383884024,98.6291664383996,98.6291664384996,98.772405311226,98.772405311326,98.9149670772191,98.9149670773191,99.05648240537894,99.05648240547895,99.19713596120548,99.19713596130548,99.32732513869918,99.32732513879918,99.4546212233597,99.4546212234597,99.57723911535376,99.57723911545376,99.6890848531817,99.6890848532817,99.79828371884308,99.79828371894308,99.90274283667137,99.90274283677137,100.0,100.0000000001],[0.0,1e-10,3.547460541385578,3.547460541485578,6.758345547375185,6.758345547475185,9.6631730706832,9.6631730707832,12.564902017757765,12.564902017857765,15.323277966258258,15.323277966358258,18.006528057023157,18.006528057123155,20.632776037833032,20.63277603793303,23.228564429631042,23.22856442973104,25.81049692393229,25.81049692403229,28.136183010097266,28.136183010197264,30.38662631112161,30.386626311221608,32.55001715909669,32.55001715919669,34.698499762929686,34.69849976302969,36.831080239677796,36.8310802397778,38.825510987375935,38.82551098747594,40.700675781937406,40.70067578203741,42.512290531861844,42.512290531961845,44.28683929438988,44.28683929448988,46.02286047695858,46.02286047705858,47.61687332611112,47.61687332621112,49.14698534841151,49.146985348511514,50.656576611128095,50.6565766112281,52.08759265766053,52.08759265776053,53.50171269416526,53.501712694265265,54.74856807776608,54.74856807786608,55.99431265101905,55.99431265111905,57.21766562620764,57.21766562630764,58.39939244520343,58.399392445303434,59.560890823128005,59.56089082322801,60.69876986523532,60.69876986533532,61.765907827295884,61.765907827395885,62.79749985822552,62.79749985832552,63.81318976207027,63.813189762170275,64.79672462953013,64.79672462963013,65.73997800595511,65.73997800605511,66.67720962102074,66.67720962112074,67.61140112355544,67.61140112365544,68.52559803982898,68.52559803992898,69.43681330727411,69.43681330737411,70.30096529419228,70.30096529429228,71.16412339816763,71.16412339826763,72.01968122081566,72.01968122091566,72.85658912236043,72.85658912246043,73.69203543134228,73.69203543144228,74.52409084557807,74.52409084567807,75.32714826336495,75.32714826346495,76.12529473014033,76.12529473024033,76.91414546821534,76.91414546831534,77.69457743312776,77.69457743322776,78.46916302778838,78.46916302788838,79.20674109875513,79.20674109885513,79.91011790374887,79.91011790384887,80.57783185020664,80.57783185030664,81.21140299439392,81.21140299449392,81.83515223655817,81.83515223665817,82.44896264929437,82.44896264939437,83.02371930874857,83.02371930884857,83.58456160700348,83.58456160710348,84.11728286434726,84.11728286444726,84.63971451004787,84.63971451014787,85.14542553682833,85.14542553692833,85.64990882585592,85.64990882595592,86.15187817567524,86.15187817577524,86.64554567973701,86.64554567983701,87.13517918832503,87.13517918842503,87.60943674315084,87.60943674325084,88.06937069085973,88.06937069095973,88.5276091911956,88.5276091912956,88.9781304827991,88.9781304828991,89.4230977226634,89.4230977227634,89.86724647069244,89.86724647079244,90.30923206172831,90.30923206182831,90.73449703384405,90.73449703394405,91.15637111121374,91.15637111131375,91.5761989589953,91.57619895909531,91.99386364978372,91.99386364988372,92.4010633378214,92.4010633379214,92.79744724089325,92.79744724099325,93.18681549966296,93.18681549976296,93.57548219400245,93.57548219410245,93.9588871551153,93.95888715521531,94.33399027047062,94.33399027057062,94.70511785405472,94.70511785415472,95.05303534773918,95.05303534783918,95.40001742218335,95.40001742228336,95.73010348659983,95.73010348669983,96.05446010816954,96.05446010826954,96.37694589125869,96.37694589135869,96.69580692479171,96.69580692489171,97.00525530221934,97.00525530231934,97.30137395547287,97.30137395557287,97.53517030184224,97.53517030194224,97.76218485871954,97.76218485881954,97.98662701268604,97.98662701278604,98.19692095064319,98.19692095074319,98.38318630686545,98.38318630696546,98.55957129736218,98.55957129746218,98.7278298332089,98.7278298333089,98.89363289354988,98.89363289364988,99.03049642114445,99.03049642124445,99.16116279627212,99.16116279637212,99.28650897447065,99.28650897457065,99.4001624121656,99.4001624122656,99.51258811210765,99.51258811220765,99.6184074136652,99.6184074137652,99.72305744117236,99.72305744127236,99.81619011928349,99.81619011938349,99.90856276926189,99.9085627693619,100.0,100.0000000001],[0.0,1e-10,1.851502057713858,1.851502057813858,3.6850939306004804,3.6850939307004804,5.288691626743919,5.288691626843919,6.863711323053735,6.863711323153735,8.189065000269142,8.189065000369142,9.400400287737396,9.400400287837396,10.595880657489737,10.595880657589737,11.789599369718086,11.789599369818086,12.95513156156259,12.95513156166259,14.116161739734675,14.116161739834675,15.249788356422465,15.249788356522465,16.36305804172192,16.36305804182192,17.438158480668257,17.438158480768255,18.508659036079724,18.508659036179722,19.479038722211076,19.479038722311074,20.430040175578533,20.43004017567853,21.375463046786688,21.375463046886686,22.25864068548052,22.258640685580517,23.13242281737973,23.13242281747973,23.994460565785676,23.994460565885674,24.850821862169873,24.85082186226987,25.69866848052145,25.69866848062145,26.54152373588839,26.541523735988388,27.381736504969343,27.38173650506934,28.218230219277427,28.218230219377425,29.04611138569045,29.046111385790446,29.872230894579477,29.872230894679475,30.692478211721873,30.69247821182187,31.49794717963524,31.497947179735238,32.30106727084995,32.30106727094995,33.09586842375693,33.095868423856935,33.878827323308194,33.878827323408196,34.66090539409747,34.66090539419747,35.421354225286635,35.42135422538664,36.17162459078164,36.17162459088164,36.884215059235736,36.88421505933574,37.59347795236674,37.59347795246674,38.28825610585604,38.288256105956044,38.98048964292181,38.98048964302181,39.66606802934138,39.666068029441384,40.349297539062306,40.34929753916231,41.02450172006283,41.02450172016283,41.683948853209884,41.683948853309886,42.33263030148811,42.33263030158811,42.98043092100434,42.98043092110434,43.62617627340925,43.62617627350925,44.26233037929465,44.262330379394655,44.89359099205786,44.89359099215786,45.52201337881019,45.522013378910195,46.14661884092722,46.14661884102722,46.75517364560344,46.755173645703444,47.36089022426879,47.360890224368795,47.9656281043097,47.9656281044097,48.568604326826616,48.56860432692662,49.17089546030643,49.170895460406435,49.77240363488669,49.772403634986695,50.369997014969194,50.369997015069195,50.96533938821549,50.96533938831549,51.557843535450914,51.557843535550916,52.146335018326134,52.146335018426136,52.730911706703594,52.730911706803596,53.31353099783218,53.31353099793218,53.894388631436776,53.89438863153678,54.474854785591596,54.4748547856916,55.04504460418981,55.045044604289814,55.613668504988915,55.61366850508892,56.17681169349117,56.17681169359117,56.73016789574902,56.73016789584902,57.27823912543491,57.27823912553491,57.82249343048549,57.82249343058549,58.36606264649895,58.366062646598955,58.90209588310424,58.90209588320424,59.434605804661544,59.434605804761546,59.96623489745685,59.96623489755685,60.49218753823042,60.49218753833042,61.01716148037954,61.017161480479544,61.53782914858113,61.53782914868113,62.575445430211445,62.57544543031145,63.07389663963827,63.07389663973827,63.56725861621801,63.567258616318014,64.05964189417332,64.05964189427333,64.55163369267885,64.55163369277885,65.03863412819973,65.03863412829973,65.51751136513778,65.51751136523778,65.99364824592739,65.99364824602739,66.46763198974324,66.46763198984324,66.93711371988667,66.93711371998667,67.40072325828346,67.40072325838347,67.8597329131454,67.8597329132454,68.31844895841999,68.31844895852,68.77608843520771,68.77608843530771,69.230106727085,69.230106727185,69.68373353951252,69.68373353961252,70.13638165331558,70.13638165341558,70.58814893835667,70.58814893845667,71.03952474394798,71.03952474404798,71.4840496591682,71.48404965926821,71.92769374562644,71.92769374572644,72.36683581841226,72.36683581851226,72.80509706243608,72.80509706253608,73.24130303934858,73.24130303944858,73.67662818749908,73.67662818759908,74.1021663494052,74.1021663495052,74.5198749223158,74.5198749224158,74.93484313907797,74.93484313917797,75.34736460927904,75.34736460937904,75.75587341511992,75.75587341521992,76.16389287164857,76.16389287174857,76.56956345147857,76.56956345157857,76.95458349033291,76.95458349043291,77.33754826207591,77.33754826217591,77.71845776670762,77.71845776680762,78.09672478505331,78.09672478515331,78.47401310477458,78.47401310487459,78.8407314793519,78.8407314794519,79.20529671695546,79.20529671705546,79.56526207102416,79.56526207112417,79.92101902100777,79.92101902110777,80.27560153264204,80.27560153274204,80.98143898058751,80.98143898068751,81.33249817717382,81.33249817727382,81.6815021066488,81.6815021067488,82.02717846080067,82.02717846090067,82.37236546564034,82.37236546574034,82.71520359378135,82.71520359388136,83.05794385205992,83.05794385215992,83.3996075418516,83.3996075419516,83.73001619746223,83.73001619756224,84.05660792843756,84.05660792853756,84.36734474169697,84.36734474179697,84.67729859605683,84.67729859615683,84.98206534770715,84.98206534780715,85.28595127059549,85.28595127069549,85.58797766609739,85.58797766619739,85.8882424040753,85.8882424041753,86.18292855989391,86.18292855999391,86.47301483217765,86.47301483227766,86.76094796748764,86.76094796758764,87.0441833494003,87.0441833495003,87.32281884777811,87.32281884787811,87.60086712698126,87.60086712708126,87.87568570072375,87.87568570082375,88.1479596580427,88.1479596581427,88.418765567425,88.418765567525,88.6893757370824,88.6893757371824,88.95802850949093,88.95802850959093,89.22198352850215,89.22198352860215,89.48476410916405,89.48476410926405,89.74402137477796,89.74402137487796,90.00181059245521,90.00181059255522,90.24785542663919,90.24785542673919,90.49292156219875,90.49292156229875,90.73544308133475,90.73544308143475,90.9773773812961,90.9773773813961,91.21627771552167,91.21627771562167,91.45488444015992,91.45488444025992,91.6880104525013,91.6880104526013,91.91594936213318,91.91594936223318,92.14349679231526,92.14349679241526,92.36262741432716,92.36262741442717,92.58117081716442,92.58117081726442,92.79374415839258,92.79374415849259,93.00602389003342,93.00602389013342,93.21810788194936,93.21810788204937,93.42862595606621,93.42862595616621,93.63836107128351,93.63836107138351,93.84476861117771,93.84476861127771,94.04628265794972,94.04628265804972,94.24534995816063,94.24534995826063,94.44383003919688,94.44383003929688,94.64191864078335,94.64191864088335,94.83863706429561,94.83863706439561,95.03506187822053,95.03506187832053,95.23060586338346,95.23060586348346,95.42409458143507,95.42409458153507,95.61748542962422,95.61748542972423,95.80960396960162,95.80960396970163,96.0010374205419,96.00103742064191,96.19168791258264,96.19168791268264,96.37940230875006,96.37940230885006,96.56643161588036,96.56643161598036,96.75091630658713,96.75091630668713,96.93040963430926,96.93040963440926,97.10383503055986,97.10383503065987,97.27696681722314,97.27696681732314,97.44980499429909,97.44980499439909,97.62205595220036,97.62205595230036,97.7942090402392,97.7942090403392,97.96508982006625,97.96508982016626,98.13107710677113,98.13107710687113,98.29520486608956,98.29520486618956,98.45678800898445,98.45678800908445,98.61484783683136,98.61484783693136,98.77183109619139,98.7718310962914,98.9285207459641,98.9285207460641,99.24111708660993,99.24111708670993,99.39545785968397,99.39545785978397,99.54833058482136,99.54833058492136,99.7011054400963,99.7011054401963,99.8529015967468,99.8529015968468,100.0,100.0000000001],[0.0,1e-10,2.2616801377863323,2.2616801378863323,3.8213940868808125,3.8213940869808125,5.249687108094188,5.249687108194188,6.662098255018609,6.662098255118609,7.960931854737164,7.960931854837164,9.2345822434318,9.2345822435318,10.478493664334373,10.478493664434373,11.711648437312155,11.711648437412155,12.931389037583727,12.931389037683727,14.094245952653033,14.094245952753033,15.162887286781093,15.162887286881093,16.21324231943701,16.21324231953701,17.259484516121685,17.259484516221683,18.303765206420074,18.303765206520072,19.337542346391903,19.3375423464919,20.359803545644255,20.359803545744253,21.375484207342616,21.375484207442614,22.39059539944496,22.390595399544956,23.39551941321853,23.395519413318528,24.365199586438525,24.365199586538523,25.272048280897838,25.272048280997836,26.15725713070846,26.157257130808457,27.03999827893633,27.03999827903633,27.91008454725269,27.91008454735269,28.772830985220367,28.772830985320365,29.62779467204246,29.627794672142457,30.43359415040831,30.43359415050831,31.222056443295383,31.22205644339538,32.007861211401035,32.00786121150104,32.78967969233456,32.78967969243456,33.545745492648145,33.545745492748146,34.28479047948075,34.28479047958075,35.00276509126066,35.002765091360665,35.7137162446897,35.7137162447897,36.422895714931116,36.42289571503112,37.109359675731355,37.10935967583136,37.78032140863999,37.780321408739994,38.41679859378974,38.416798593889744,39.039228862237714,39.039228862337715,39.658305587509126,39.65830558760913,40.261626987290704,40.261626987390706,40.853116074355015,40.853116074455016,41.44416224062242,41.44416224072242,42.03261415650796,42.03261415660796,42.6185350964112,42.6185350965112,43.195154699579476,43.19515469967948,43.77164775394864,43.771647754048644,44.348014259518685,44.34801425961869,44.92045775231616,44.92045775241616,45.49049681793045,45.49049681803045,46.05104472361109,46.051044723711094,46.60899837890988,46.60899837900988,47.15328476390423,47.15328476400423,47.69339503852778,47.693395038627784,48.230784513970356,48.23078451407036,48.767984166214255,48.76798416631426,49.2955661097254,49.2955661098254,49.8185922964684,49.818592296568404,50.33927733042777,50.33927733052777,50.855786254016344,50.855786254116346,51.3700805736204,51.3700805737204,51.881337722045686,51.88133772214569,52.385255040122296,52.3852550402223,52.888096693406425,52.88809669350643,53.890173359199906,53.89017335929991,54.38668757252828,54.38668757262828,54.87832965709072,54.87832965719072,55.36661819847661,55.36661819857661,55.84680761671912,55.84680761681912,56.3254151749727,56.3254151750727,56.79415192689529,56.79415192699529,57.24801919492185,57.248019195021854,57.698153273374515,57.69815327347452,58.144047967056814,58.144047967156816,58.5868422151608,58.5868422152608,59.023751944105925,59.02375194420593,59.459649282658134,59.459649282758136,59.89345856602494,59.89345856612494,60.32682492859484,60.32682492869484,60.75949527276961,60.759495272869614,61.188938622566944,61.188938622666946,61.61426913639303,61.61426913649303,62.03466424705363,62.03466424715363,62.45233855853325,62.45233855863325,62.867734991628794,62.867734991728796,63.27876549115487,63.27876549125487,63.68334200192607,63.68334200202607,64.08760214069949,64.08760214079949,64.48800254109989,64.48800254119989,64.88403700793081,64.88403700803082,65.2768444803843,65.2768444804843,65.66667805605859,65.66667805615859,66.05461339974615,66.05461339984615,66.43805626106511,66.43805626116512,66.81953761599779,66.81953761609779,67.19614684216454,67.19614684226454,67.5724396963335,67.5724396964335,67.94715069051352,67.94715069061353,68.31990017830726,68.31990017840727,68.6914474525094,68.6914474526094,69.06248853151509,69.06248853161509,69.43314996412342,69.43314996422342,69.8033052015353,69.8033052016353,70.17314406694938,70.17314406704938,70.53969266358646,70.53969266368647,70.90016691786603,70.90016691796603,71.25785709856507,71.25785709866507,71.61206718728843,71.61206718738843,71.9580516040693,71.9580516041693,72.30245416086125,72.30245416096125,72.63236688015449,72.6323668802545,72.95462339710127,72.95462339720127,73.27618389565292,73.27618389575292,73.59723819900812,73.59723819910812,73.9150022335863,73.91500223368631,74.22238926663705,74.22238926673705,74.52705550050683,74.52705550060683,74.83102571598147,74.83102571608147,75.43339799976968,75.43339799986968,75.73135714728635,75.73135714738635,76.02026805566629,76.0202680557663,76.3053192256732,76.3053192257732,76.58859871249251,76.58859871259251,76.86903085133174,76.86903085143175,77.14920989257273,77.14920989267273,77.4267314090323,77.4267314091323,77.70210159590691,77.70210159600691,77.97595319719214,77.97595319729214,78.2421485961309,78.2421485962309,78.5075214278754,78.5075214279754,78.77270443642125,78.77270443652125,79.03478699938877,79.03478699948877,79.29642664155938,79.29642664165938,79.55800300933045,79.55800300943045,79.81445415073733,79.81445415083734,80.07039909694777,80.07039909704777,80.32602767116042,80.32602767126042,80.58096022697792,80.58096022707792,80.83544986199854,80.83544986209854,81.08981294822003,81.08981294832003,81.34322691844815,81.34322691854815,81.59493247988823,81.59493247998823,81.84587874853362,81.84587874863362,82.09435731559626,82.09435731569626,82.34036818107614,82.34036818117615,82.58593612575913,82.58593612585913,83.07511050873883,83.07511050883883,83.31567977585676,83.31567977595677,83.55352824379374,83.55352824389374,83.7876435221568,83.7876435222568,84.02150570292163,84.02150570302163,84.25454531649221,84.25454531659221,84.48309244769422,84.48309244779422,84.71113338369976,84.71113338379976,84.93373272134335,84.93373272144335,85.15329488780816,85.15329488790816,85.37102209668582,85.37102209678582,85.58387717679753,85.58387717689753,85.79584641531544,85.79584641541544,86.00496830585327,86.00496830595327,86.21023045801807,86.21023045811808,86.4153027869842,86.4153027870842,86.61784413996803,86.61784414006803,86.81930982815939,86.81930982825939,87.02026932115427,87.02026932125428,87.22110226535005,87.22110226545006,87.41927768476441,87.41927768486441,87.61707345778142,87.61707345788142,87.81360374280729,87.81360374290729,88.00956455823713,88.00956455833713,88.20179218409307,88.20179218419307,88.39376671235078,88.39376671245078,88.58517177101248,88.58517177111248,88.77347638409586,88.77347638419586,88.96133807638232,88.96133807648232,89.148313927075,89.148313927175,89.33509995456897,89.33509995466898,89.52043067087315,89.52043067097316,89.70076270961226,89.70076270971227,89.87590624758766,89.87590624768767,90.04864535837987,90.04864535847987,90.22113137157385,90.22113137167385,90.3930479151718,90.39304791527181,90.5643317147742,90.5643317148742,90.90487453319312,90.90487453329312,91.07261496642028,91.07261496652028,91.23820407006248,91.23820407016248,91.40157856972016,91.40157856982016,91.56280173979289,91.56280173989289,91.7231390682718,91.72313906837181,91.88195781116136,91.88195781126136,92.03887832206416,92.03887832216417,92.19491299137317,92.19491299147317,92.34740429430695,92.34740429440696,92.49976904844162,92.49976904854162,92.65181743057849,92.65181743067849,92.80272687352334,92.80272687362334,92.95313012127171,92.95313012137171,93.10347009462053,93.10347009472054,93.2533038727729,93.2533038728729,93.39915136375313,93.39915136385314,93.54088601876212,93.54088601886212,93.68236757617288,93.68236757627288,93.82321638958807,93.82321638968807,93.96286298941166,93.96286298951166,94.10118082684454,94.10118082694454,94.23880264588229,94.23880264598229,94.37547534892667,94.37547534902667,94.50993344798654,94.50993344808654,94.64280968705748,94.64280968715748,94.77517973093194,94.77517973103194,94.90685375641128,94.90685375651128,95.03688264750211,95.03688264760211,95.16665844099472,95.16665844109473,95.29554839289352,95.29554839299352,95.55326502229157,95.55326502239157,95.6819651509917,95.6819651510917,95.81047545649315,95.81047545659315,95.93835301799903,95.93835301809904,96.06483854271465,96.06483854281466,96.19107096983203,96.19107096993203,96.31641755535561,96.31641755545562,96.44125794568272,96.44125794578272,96.56559214081338,96.56559214091338,96.68764845755996,96.68764845765996,96.80869238391362,96.80869238401363,96.92840754787657,96.92840754797658,97.0474266934444,97.0474266935444,97.16638256461265,97.16638256471265,97.28173179500614,97.28173179510614,97.39492969581465,97.39492969591466,97.50679883423247,97.50679883433247,97.61841487505204,97.61841487515204,97.72977781827339,97.72977781837339,97.83772394391863,97.83772394401863,97.94560679516432,97.94560679526433,98.05342637201045,98.05342637211045,98.16111940005746,98.16111940015746,98.26729384251509,98.26729384261509,98.37308863857537,98.37308863867537,98.47863033703742,98.47863033713742,98.5835392915039,98.5835392916039,98.68730930677833,98.68730930687833,98.79050985245675,98.79050985255675,98.89358384933607,98.89358384943607,98.99589855342067,98.99589855352068,99.30246301927718,99.30246301937719,99.40433480256489,99.40433480266489,99.5060800370535,99.5060800371535,99.60719252754652,99.60719252764652,99.70703953004838,99.70703953014838,99.8053046725613,99.80530467266131,99.90331671747602,99.90331671757602,100.0,100.0000000001],[0.0,1e-10,1.079338616600189,1.079338616700189,2.0207058521169983,2.0207058522169983,2.897821709188116,2.897821709288116,3.716519536646112,3.716519536746112,4.530144886858395,4.530144886958395,5.295328079374124,5.295328079474124,6.060342189314996,6.060342189414996,6.805911803147303,6.805911803247303,7.537109398116758,7.537109398216758,8.212340660808518,8.212340660908518,8.87717334514657,8.87717334524657,9.528310340921196,9.528310341021196,10.147237106185548,10.147237106285548,10.75576529309619,10.75576529319619,11.357614718299976,11.357614718399976,11.954898913982621,11.954898914082621,12.55201402709041,12.55201402719041,13.140675011455345,13.140675011555345,13.727222463634565,13.727222463734565,14.298552484076648,14.298552484176648,14.843759246703312,14.843759246803312,15.377045687802552,15.377045687902552,15.906020523242937,15.906020523342937,16.433473615509605,16.433473615609604,16.949598175260853,16.94959817536085,17.464623698275528,17.464623698375526,17.978127478116487,17.978127478216486,18.489602267059162,18.48960226715916,18.99245384468413,18.992453844784126,19.48795033030281,19.487950330402807,19.974062733016922,19.97406273311692,20.45941426414418,20.459414264244177,20.94459671269658,20.944596712796578,21.42107140864384,21.42107140874384,22.37156910320293,22.371569103302928,22.844408523790765,22.844408523890763,23.31521895348031,23.31521895358031,23.782901355535003,23.782901355635,24.24441224360741,24.24441224370741,25.155851863374515,25.155851863474513,25.601553530697785,25.601553530797784,26.04539528969763,26.04539528979763,26.488560718398045,26.488560718498043,26.93088073422417,26.93088073432417,27.356968822864022,27.35696882296402,27.78246512249187,27.78246512259187,28.20381889903572,28.20381889913572,28.625088134292145,28.625088134392144,29.03283076356,29.032830763659998,29.43854440192957,29.438544402029567,29.843412627424854,29.843412627524852,30.24599823815957,30.245998238259567,30.644948573534858,30.644948573634856,31.03612111046672,31.036121110566718,31.412076215661443,31.41207621576144,31.78422696292188,31.78422696302188,32.15620862760746,32.156208627707464,32.52793666843076,32.527936668530764,33.27097004364021,33.27097004374021,33.63711835949323,33.63711835959323,34.000476812861095,34.0004768129611,34.3615526514684,34.3615526515684,34.7214449120517,34.7214449121517,35.43835502944573,35.43835502954573,35.79478109724446,35.79478109734446,36.14960088058205,36.14960088068205,36.50061630598535,36.500616306085355,36.851209024951515,36.85120902505152,37.19901188143253,37.199011881532535,37.893011309933435,37.89301131003344,38.23743251491731,38.23743251501731,38.579655646428044,38.579655646528046,38.92035703476507,38.92035703486507,39.25886034962895,39.25886034972895,39.59330568269626,39.59330568279626,39.92462298812871,39.92462298822871,40.25154414661488,40.251544146714885,40.5753372774662,40.5753372775662,40.89862316059294,40.89862316069294,41.220894548270536,41.22089454837054,41.542827770798425,41.54282777089843,41.862816543715454,41.862816543815455,42.1819599037582,42.1819599038582,42.49729890586666,42.49729890596666,42.81246882540026,42.81246882550026,43.126962414634434,43.126962414734436,43.438074352371466,43.43807435247147,43.7462273450485,43.746227345148505,44.053788548713534,44.053788548813536,44.36050433950428,44.36050433960428,44.6665437999956,44.6665438000956,44.97249871919949,44.972498719299494,45.276340106217674,45.276340106317676,45.57942062164899,45.579420621748994,45.88241659579289,45.88241659589289,46.48536505773325,46.48536505783325,46.78311947205657,46.78311947215657,47.079521225781036,47.07952122588104,47.37372490603236,47.37372490613236,47.66775950370883,47.66775950380883,47.96027235821158,47.960272358311585,48.24957264379205,48.24957264389205,48.53768935134852,48.53768935144852,48.8255524350427,48.825552435142704,49.11282372972489,49.11282372982489,49.400010483119644,49.400010483219646,49.68576003462811,49.68576003472811,49.97117142098687,49.97117142108687,50.25421565129763,50.25421565139763,50.53362460624896,50.53362460634896,50.81075094643971,50.81075094653971,51.086778249893904,51.086778249993905,51.36263647077323,51.362636470873234,51.63798744392799,51.63798744402799,51.91173213262161,51.91173213272161,52.185054114878085,52.18505411497809,52.45744614297284,52.45744614307284,52.728823675618465,52.728823675718466,52.997918593503506,52.99791859360351,53.535516640261605,53.53551664036161,53.80393522784723,53.80393522794723,54.07142386127113,54.07142386137113,54.33857432954532,54.33857432964532,54.60437213722066,54.60437213732066,54.870000862321135,54.870000862421136,55.132924266223895,55.1329242663239,55.39576312883923,55.39576312893923,55.65496671609514,55.65496671619514,56.43232385400058,56.43232385410058,56.69017478065763,56.69017478075763,56.947687542164964,56.947687542264966,57.20511576238488,57.20511576248488,57.46237490002993,57.46237490012993,57.71954949638755,57.71954949648755,57.976639551457744,57.976639551557746,58.233391441378224,58.233391441478226,58.48870612941242,58.48870612951242,58.743682652296904,58.743682652396906,58.99832101003167,58.99832101013167,59.252536661329295,59.252536661429296,59.50539965202806,59.50539965212806,59.75800901886454,59.75800901896454,60.0081666883656,60.0081666884656,60.25764802756722,60.25764802766722,60.50679120161914,60.50679120171914,60.75534258665905,60.75534258675905,61.00118865050125,61.00118865060125,61.24669654919373,61.24669654929373,61.49144357629936,61.49144357639936,61.7359369795427,61.7359369796427,61.98034584149861,61.98034584159861,62.22433199701738,62.22433199711738,62.4681490699613,62.4681490700613,62.711797060330355,62.71179706043036,62.95493780297484,62.95493780307484,63.19774038046961,63.19774038056961,63.44003571023981,63.440035710339814,63.68190833357286,63.681908333672865,63.922512837594496,63.9225128376945,64.16210284616699,64.16210284626699,64.40127014830233,64.40127014840233,64.64026836786282,64.64026836796282,64.87859025712388,64.87859025722388,65.11640489866036,65.11640489876036,65.35413499890942,65.35413499900942,65.59118876885904,65.59118876895904,65.82663625434753,65.82663625444754,66.29668581245022,66.29668581255022,66.53111880248957,66.53111880258957,66.76318463648091,66.76318463658092,67.22706268060132,67.22706268070132,67.45836764300581,67.45836764310582,67.68924989897316,67.68924989907316,67.92004761365308,67.92004761375308,68.14940812644672,68.14940812654672,68.37817685022834,68.37817685032834,68.60618470242312,68.60618470252312,68.82835920578533,68.82835920588533,69.04909650726125,69.04909650736126,69.26890385457546,69.26890385467546,69.48862666060224,69.48862666070224,69.70809584276674,69.70809584286674,69.92739594235637,69.92739594245637,70.14568154649686,70.14568154659686,70.36388260934993,70.36388260944993,70.58073101160414,70.58073101170415,70.79673400098406,70.79673400108406,71.01197611877713,71.01197611887713,71.22688007142048,71.22688007152048,71.4407695286147,71.4407695287147,71.65313724263518,71.65313724273518,71.86220784644597,71.86220784654597,72.07119390896932,72.07119390906932,72.27975726505554,72.27975726515554,72.48755974955489,72.48755974965489,72.69443227989252,72.69443227999253,72.90088210379302,72.90088210389303,73.10657105610667,73.10657105620668,73.31200638455803,73.31200638465803,73.51710354785966,73.51710354795966,73.7212707569996,73.7212707570996,73.92526888356467,73.92526888366467,74.12901338626745,74.12901338636745,74.33106706322167,74.33106706332167,74.53303619888845,74.53303619898846,74.73483625198038,74.73483625208038,74.9362981399226,74.9362981400226,75.13708369756537,75.13708369766537,75.33727746619617,75.33727746629617,75.53637219809038,75.53637219819038,75.73504422354745,75.73504422364745,76.13230373317417,76.13230373327417,76.33080667605638,76.33080667615639,76.5287178299266,76.52871783002661,76.72620627735968,76.72620627745968,77.12109863093839,77.1210986310384,77.31765712420975,77.31765712430975,77.5126938743074,77.5126938744074,77.90175287905355,77.90175287915355,78.09552150983976,78.09552150993976,78.48272060626248,78.48272060636248,78.67598198932413,78.67598198942413,78.86865158337378,78.86865158347378,79.25382168889821,79.25382168899822,79.444546833337,79.444546833437,79.63476473005122,79.63476473015122,79.82481354419058,79.82481354429058,80.20482663118187,80.20482663128188,80.39369186729724,80.39369186739724,80.58247256212516,80.58247256222516,80.95918853890674,80.95918853900675,81.14703927957297,81.14703927967297,81.33446731380204,81.33446731390204,81.51859823782141,81.51859823792141,81.70256007926591,81.70256007936591,81.88643737942299,81.88643737952299,82.06921564284349,82.06921564294349,82.25182482368915,82.25182482378915,82.43392675681022,82.43392675691022,82.6148451119073,82.6148451120073,82.7955098431421,82.7955098432421,82.9759209505146,82.97592095061461,83.33648954139733,83.33648954149733,83.5162243184704,83.51622431857041,83.69562093039377,83.69562093049377,83.87476391845486,83.87476391855486,84.05255424591708,84.05255424601708,84.22992186694216,84.22992186704217,84.40695132281752,84.40695132291752,84.58389623740547,84.58389623750547,84.75940395010711,84.75940395020712,84.9347425802339,84.9347425803339,85.10991212778585,85.10991212788585,85.28389809731378,85.28389809741378,85.45771498426687,85.45771498436687,85.63144732993251,85.63144733003251,85.80416518014903,85.80416518024903,85.97654486521583,85.97654486531583,86.14875546770776,86.14875546780776,86.31986703346313,86.31986703356313,86.49021772763165,86.49021772773165,86.65845488961445,86.65845488971445,86.82652296902238,86.82652296912238,86.99298476396918,86.99298476406918,87.15885476990398,87.15885477000398,87.32387936296449,87.32387936306449,87.48856579087528,87.48856579097529,87.64970148471409,87.64970148481409,87.81058355469061,87.81058355479061,88.13200952949391,88.13200952959392,88.29179256273386,88.29179256283386,88.45081472438694,88.45081472448695,88.60924509702804,88.60924509712804,88.76742184580684,88.76742184590684,88.9251758881485,88.9251758882485,89.08191543504101,89.08191543514101,89.23747140390952,89.23747140400953,89.39226650119119,89.39226650129119,89.54680797461056,89.54680797471056,89.85572183887444,89.85572183897445,90.00984060585668,90.00984060595668,90.16379029026406,90.16379029036406,90.47126695264166,90.47126695274166,90.62462484803703,90.62462484813703,90.93100247367806,90.93100247377807,91.08368403877401,91.08368403887401,91.23628106258253,91.23628106268254,91.38853992124133,91.38853992134133,91.54046061475043,91.54046061485043,91.69221222568466,91.69221222578466,91.84337204760689,91.8433720477069,91.99410916309198,91.99410916319198,92.29499160505016,92.29499160515016,92.44462968379868,92.44462968389868,92.59409867997233,92.59409868007234,92.74339859357114,92.74339859367115,92.8925294245951,92.8925294246951,93.04056121888246,93.04056121898246,93.18850847188241,93.18850847198242,93.33611755973264,93.33611755983264,93.48338848243317,93.48338848253317,93.63049032255883,93.63049032265883,93.77683129109764,93.77683129119764,93.9227495531993,93.9227495532993,94.0673151547021,94.0673151548021,94.21179621491748,94.21179621501749,94.35593910998314,94.35593911008314,94.49965929861166,94.49965929871166,94.78659242814413,94.78659242824413,94.92972082776065,94.92972082786065,95.07141202549089,95.07141202559089,95.21268051678398,95.21268051688398,95.35377992550222,95.35377992560223,95.77606365620778,95.77606365630778,96.05589531759625,96.05589531769625,96.19505027670364,96.19505027680364,96.33319074036187,96.33319074046187,96.47116212144525,96.47116212154525,96.60837263094177,96.60837263104177,96.7449913514263,96.7449913515263,96.88118736547368,96.88118736557368,97.0166225079342,97.0166225080342,97.15070498979587,97.15070498989587,97.28419568264553,97.28419568274553,97.41633371489634,97.41633371499634,97.54728816912315,97.54728816922315,97.67798899948768,97.67798899958768,97.80860528856478,97.80860528866478,97.93888341249216,97.93888341259216,98.3293796191246,98.3293796192246,98.58866774766793,98.58866774776793,98.84711046333697,98.84711046343698,98.97595138537808,98.97595138547808,99.10470776613174,99.10470776623174,99.36205144506422,99.36205144516423,99.49021603680589,99.49021603690589,99.61795792211042,99.61795792221042,99.74544618355266,99.74544618365266,100.0,100.0000000001],[0.0,1e-10,1.9216297278786947,1.9216297279786947,3.6656239169051203,3.6656239170051204,5.226940092207078,5.226940092307078,6.7821925319032275,6.7821925320032275,8.239467769968678,8.239467770068678,9.585872389641608,9.585872389741608,10.8873415370357,10.8873415371357,12.181789516886226,12.181789516986226,13.452876157455426,13.452876157555426,14.591709533022147,14.591709533122147,15.72064944523202,15.72064944533202,16.838291660576335,16.838291660676333,17.880743554408625,17.880743554508623,18.90877014037867,18.90877014047867,19.88439328495536,19.88439328505536,20.773847555133717,20.773847555233715,21.661195475049006,21.661195475149004,22.545862585538565,22.545862585638563,23.407615158317753,23.40761515841775,24.265538003345906,24.265538003445904,25.110567431612232,25.11056743171223,25.948256548355737,25.948256548455735,26.77854152478057,26.77854152488057,27.604422314291714,27.604422314391712,28.426026574480865,28.426026574580863,29.229950258219393,29.22995025831939,30.030108043002738,30.030108043102736,30.82624461364749,30.826244613747487,31.612104748160295,31.612104748260293,32.38053962140588,32.38053962150588,33.124208921861424,33.124208921961426,33.859771965243944,33.859771965343946,34.57765443217584,34.57765443227584,35.28347325669197,35.28347325679197,35.98693041576163,35.98693041586163,36.67143042246365,36.67143042256365,37.35535597000302,37.35535597010302,38.034877330628696,38.0348773307287,38.696335142028644,38.696335142128646,39.345537824625275,39.34553782472528,40.62722004530568,40.62722004540568,41.257976205901485,41.25797620600149,41.88598772827571,41.88598772837571,42.47831895376944,42.47831895386944,43.04524631851463,43.04524631861463,43.61153539530131,43.61153539540131,44.17565429302907,44.17565429312907,44.734539229497074,44.734539229597075,45.28984975339745,45.28984975349745,45.843947530176656,45.84394753027666,46.384513602235536,46.38451360233554,46.91990954183052,46.91990954193052,47.453582103937535,47.45358210403754,47.96778688331011,47.96778688341011,48.476630043831236,48.47663004393124,48.98189879178472,48.981898791884724,49.484359072720785,49.48435907282079,49.98433003061867,49.984330030718674,50.48027977437797,50.48027977447797,50.97188916001943,50.97188916011943,51.462924086498234,51.462924086598235,51.94649104386251,51.94649104396251,52.42182408656206,52.42182408666206,52.88809344025082,52.88809344035082,53.34440550178689,53.34440550188689,53.790951757557806,53.79095175765781,54.23660441018682,54.23660441028682,54.68059751412372,54.68059751422372,55.11782476570045,55.11782476580045,55.553520126176764,55.553520126276766,55.98755593796096,55.987555938060964,56.42005985864475,56.42005985874475,56.851351032207376,56.85135103230738,57.27708910053099,57.277089100630995,57.70161442173345,57.701614421833455,58.122948303143374,58.122948303243376,58.534133406013055,58.53413340611306,58.942510041865305,58.942510041965306,59.34782289551673,59.34782289561673,59.74898687743786,59.74898687753786,60.14408712375318,60.14408712385318,60.53401723760461,60.53401723770461,60.920245281296694,60.920245281396696,61.30519674907177,61.30519674917177,61.689318442500785,61.689318442600786,62.072674190379594,62.072674190479596,62.455646965483304,62.455646965583306,62.835428300794476,62.83542830089448,63.21112459317121,63.211124593271215,63.584523048897324,63.584523048997326,63.95594281195207,63.95594281205207,64.32436262160184,64.32436262170184,64.69042076580513,64.69042076590513,65.0500322016275,65.0500322017275,65.40887769189968,65.40887769199968,65.76497854395028,65.76497854405028,66.11399439966145,66.11399439976145,66.46269111139338,66.46269111149338,66.8104942199834,66.8104942200834,67.1522335929676,67.1522335930676,67.49390913715595,67.49390913725595,67.83552085254846,67.83552085264846,68.17630279359491,68.17630279369492,68.5157443299285,68.5157443300285,68.85505820867037,68.85505820877037,69.1943082586164,69.1943082587164,69.52730308656908,69.52730308666908,69.85914899619644,69.85914899629644,70.18480351262629,70.18480351272629,70.50394749187939,70.50394749197939,70.82136809364451,70.82136809374451,71.13834189383867,71.13834189393867,71.45493272125773,71.45493272135774,71.76756616333405,71.76756616343405,72.07879537190168,72.07879537200168,72.38938629251078,72.38938629261078,72.69799852044851,72.69799852054851,73.00297250702276,73.00297250712276,73.30047852448249,73.30047852458249,73.59683562361691,73.59683562371691,73.89134168767166,73.89134168777166,74.18354991507579,74.18354991517579,74.47429008017535,74.47429008027535,74.76483875888736,74.76483875898737,75.05270662817365,75.05270662827365,75.33987238070557,75.33987238080557,75.62671898925825,75.62671898935825,75.90820397895948,75.90820397905948,76.18802941996859,76.18802942006859,76.46511022275611,76.46511022285611,76.73995701768888,76.73995701778888,77.01365489429632,77.01365489439632,77.28703362692451,77.28703362702451,77.55843366688134,77.55843366698134,77.82932307647137,77.82932307657137,78.09861676616512,78.09861676626512,78.36720833910452,78.36720833920452,78.63133189633437,78.63133189643438,78.89526396717667,78.89526396727668,79.15785563330613,79.15785563340613,79.4193622099061,79.4193622100061,79.67901775142641,79.67901775152642,79.93299253011602,79.93299253021603,80.18013762764961,80.18013762774962,80.42415511418652,80.42415511428652,80.66625773684791,80.66625773694791,80.90555189249189,80.90555189259189,81.14363330101469,81.14363330111469,81.37948070168272,81.37948070178273,81.61130688821216,81.61130688831216,81.8422394715997,81.8422394716997,82.07157633509097,82.07157633519097,82.30084936978639,82.3008493698864,82.52980326050255,82.52980326060255,82.75754440409756,82.75754440419756,82.98247708067512,82.98247708077513,83.20498426301039,83.20498426311039,83.42666167099958,83.42666167109958,83.64801993500951,83.64801993510952,83.86593144404353,83.86593144414353,84.08282169234393,84.08282169244393,84.29683964483105,84.29683964493105,84.50977250778871,84.50977250788871,84.72219474037956,84.72219474047957,84.93423400019532,84.93423400029532,85.14474136891066,85.14474136901066,85.35435513448408,85.35435513458408,85.5625646665488,85.5625646666488,85.77058271222596,85.77058271232596,85.97496251653963,85.97496251663964,86.17857637530311,86.17857637540311,86.38161577490392,86.38161577500392,86.58420837293379,86.58420837303379,86.78571588143419,86.78571588153419,86.98620212920098,86.98620212930098,87.18649689058022,87.18649689068022,87.3820683210665,87.3820683211665,87.57610786045238,87.57610786055238,87.7694452830839,87.7694452831839,87.95486793502995,87.95486793512995,88.13946081262993,88.13946081272994,88.3232877446797,88.3232877447797,88.50079562594028,88.50079562604029,88.67734607526309,88.67734607536309,88.85376886699419,88.85376886709419,89.02821296605393,89.02821296615393,89.200806030034,89.200806030134,89.37212251809706,89.37212251819706,89.54018373757174,89.54018373767174,89.7068407235377,89.7068407236377,89.87311473672855,89.87311473682855,90.03868663316506,90.03868663326506,90.2034287552555,90.2034287553555,90.36772407577499,90.36772407587499,90.53055133398992,90.53055133408992,90.69331476340899,90.693314763509,90.85543990486956,90.85543990496956,91.01705441596333,91.01705441606333,91.17796681030273,91.17796681040274,91.33824091668363,91.33824091678363,91.49749376233092,91.49749376243092,91.65559768965291,91.65559768975291,91.8089144572861,91.8089144573861,91.96165676575662,91.96165676585662,92.11401610145204,92.11401610155204,92.2638861141093,92.2638861142093,92.41318166760388,92.41318166770388,92.56190276193583,92.56190276203583,92.71049619867607,92.71049619877607,93.00736392817728,93.00736392827729,93.15557439214243,93.15557439224243,93.30238062259885,93.30238062269885,93.44752730436315,93.44752730446315,93.59063146466023,93.59063146476024,93.73150161710254,93.73150161720254,93.8716696527905,93.8716696528905,94.0111355717241,94.0111355718241,94.15021851788259,94.1502185179826,94.28725894257387,94.28725894267387,94.42251216098133,94.42251216108133,94.5576377217971,94.5576377218971,94.69155053549169,94.69155053559169,94.82431443086097,94.82431443096097,94.9565038670676,94.9565038671676,95.08773587133646,95.08773587143646,95.21705301172982,95.21705301182982,95.3449020898186,95.3449020899186,95.47000652968582,95.47000652978582,95.59453651039037,95.59453651049037,95.71778991517792,95.71778991527792,95.8408518335779,95.8408518336779,95.96346695040694,95.96346695050694,96.08589058084843,96.08589058094843,96.20697380657705,96.20697380667706,96.44786368211727,96.44786368221727,96.56722353035794,96.56722353045794,96.68651954980274,96.68651954990274,96.80556025406413,96.80556025416413,96.92409032795874,96.92409032805874,97.04140765473217,97.04140765483217,97.15629948726328,97.15629948736328,97.27036154544834,97.27036154554834,97.38257256855373,97.38257256865373,97.49471976286326,97.49471976296326,97.60680312837694,97.60680312847694,97.71780140436117,97.71780140446117,97.82860819395783,97.82860819405784,97.93724480449559,97.9372448045956,98.04562609984994,98.04562609994994,98.15311379206238,98.15311379216239,98.26021851149972,98.26021851159972,98.3671317445495,98.3671317446495,98.47366200482418,98.47366200492418,98.57980929232376,98.57980929242376,98.68499914788558,98.68499914798558,98.7898060306723,98.7898060307723,98.89442142707145,98.89442142717145,99.10339690468638,99.10339690478638,99.20565063563906,99.20565063573906,99.3075852226125,99.3075852227125,99.40849854885232,99.40849854895232,99.5089650735212,99.5089650736212,99.60911245421082,99.60911245431082,99.70874920453363,99.70874920463363,99.80672640616433,99.80672640626433,99.90342703187801,99.90342703197801,100.0,100.0000000001],[0.0,1e-10,1.9582562562354506,1.9582562563354506,3.4198848520119722,3.4198848521119722,4.796100764881942,4.796100764981942,6.159585966079149,6.159585966179149,7.414860118057865,7.414860118157865,8.616288555869637,8.616288555969637,9.758740023279016,9.758740023379016,10.882160375789823,10.882160375889823,11.98726409211839,11.98726409221839,13.088535604423013,13.088535604523013,14.176232021117393,14.176232021217393,15.176112508313935,15.176112508413935,16.1759280428999,16.1759280429999,17.169378221649485,17.169378221749483,18.13321000997672,18.13321001007672,19.05962909461257,19.05962909471257,19.97617538244097,19.97617538254097,20.879861053375457,20.879861053475455,21.773349164449616,21.773349164549614,22.655340663451945,22.655340663551943,23.529278038742934,23.529278038842932,24.400617309610908,24.400617309710906,25.26240854672431,25.262408546824307,26.114846607914867,26.114846608014865,26.94981241686066,26.949812416960658,27.765682158297306,27.765682158397304,28.57908370053209,28.57908370063209,29.385730171267042,29.38573017136704,30.14158370053209,30.14158370063209,30.89217606834054,30.892176068440538,31.62815409876954,31.628154098869537,32.35127151230462,32.35127151240462,33.05522790571999,33.05522790581999,33.758599725640174,33.758599725740176,34.42222054788826,34.42222054798826,35.08064516129032,35.08064516139032,35.73250956102428,35.73250956112428,36.37463106917193,36.374631069271935,37.01577828816096,37.01577828826096,37.64744242600599,37.64744242610599,38.27826217991353,38.278262180013535,38.87848925424011,38.87848925434011,39.46683000083139,39.466830000931395,40.05413150565347,40.054131505753475,40.640653579148655,40.64065357924866,41.223538306451616,41.22353830655162,41.802590829730626,41.80259082983063,42.377031717658795,42.3770317177588,42.93666341037579,42.936663410475795,43.49285261473229,43.492852614832294,44.03358309777187,44.03358309787187,44.56242725307616,44.56242725317616,45.08562053126039,45.08562053136039,45.60641056285334,45.60641056295334,46.12544687396076,46.12544687406076,46.644223374625874,46.644223374725875,47.15936252909877,47.15936252919877,47.67229329481211,47.67229329491211,48.183600245261054,48.183600245361056,48.6817867683738,48.6817867684738,49.17919386015963,49.17919386025963,49.665818818589955,49.66581881868996,50.1503003408713,50.1503003409713,50.63335290571999,50.63335290581999,51.10750696291986,51.10750696301986,51.576594716494846,51.57659471659485,52.04308436564683,52.04308436574683,52.502299322414366,52.50229932251437,52.9549540655138,52.954954065613805,53.40338688892584,53.40338688902584,53.8457141669438,53.8457141670438,54.28167608912538,54.28167608922538,54.71679362736947,54.71679362746947,55.15165135517127,55.15165135527127,55.5785199118723,55.5785199119723,56.00220579065514,56.00220579075514,56.42543700116395,56.42543700126395,56.84691449118723,56.84691449128723,57.25312811772531,57.25312811782531,57.652456767542404,57.652456767642406,58.05100598603259,58.051005986132594,58.4492304414699,58.4492304415699,58.8451166029265,58.845116603026504,59.23885932823412,59.23885932833412,59.632212337878286,59.63221233797829,60.024136390089794,60.024136390189796,60.413072622214834,60.413072622314836,60.798826176421684,60.798826176521686,61.56442259727303,61.56442259737303,61.94088792816761,61.940887928267614,62.31644392251413,62.316443922614134,62.687972855004986,62.68797285510499,63.05930692966412,63.05930692976412,63.42856252078484,63.42856252088484,63.795999438809446,63.79599943890945,64.16259197289658,64.16259197299658,64.52515744512803,64.52515744522803,64.88590424426339,64.88590424436339,65.24645618556701,65.24645618566701,65.60317592284669,65.60317592294669,65.95963584968408,65.95963584978408,66.31369252993017,66.31369253003017,66.66645015796475,66.66645015806475,67.01816854423014,67.01816854433014,67.36631453691386,67.36631453701386,67.71218718822747,67.71218718832748,68.05487716162288,68.05487716172289,68.39302045227802,68.39302045237802,68.731033837712,68.731033837812,69.06781312354506,69.06781312364507,69.40238402061856,69.40238402071856,69.73097927751913,69.73097927761913,70.05678157216495,70.05678157226495,70.38180443548387,70.38180443558387,70.70357966827403,70.70357966837403,71.02113298137678,71.02113298147678,71.3335550382441,71.3335550383441,71.64402851679415,71.64402851689415,71.94930578649817,71.94930578659817,72.24997142085135,72.24997142095135,72.54673989857001,72.54673989867001,72.8415597979714,72.8415597980714,73.1356002660459,73.1356002661459,73.42899120801464,73.42899120811464,73.72160271865647,73.72160271875647,74.01388946624543,74.01388946634543,74.30565659294979,74.30565659304979,74.5956699991686,74.59566999926861,74.88516378450282,74.88516378460282,75.17017583970735,75.17017583980736,75.45453836880611,75.45453836890611,75.73591307781842,75.73591307791843,76.01144205187894,76.01144205197895,76.28515235284337,76.28515235294337,76.55847293814433,76.55847293824434,76.83146876039241,76.83146876049241,77.10310057781842,77.10310057791843,77.37460249002328,77.37460249012328,77.6377904680745,77.6377904681745,77.89987425174593,77.89987425184593,78.15507305869637,78.15507305879638,78.40630975640173,78.40630975650173,78.65676702278017,78.65676702288017,78.90663971566345,78.90663971576345,79.1557979298304,79.1557979299304,79.4045664283339,79.4045664284339,79.65125644329896,79.65125644339896,79.89762169521117,79.89762169531117,80.1434023736282,80.14340237372821,80.38892324160292,80.38892324170293,80.63437915696707,80.63437915706707,80.87567810525441,80.87567810535441,81.11658733787829,81.11658733797829,81.3552881817426,81.3552881818426,81.59184558945793,81.59184558955793,81.82742870801464,81.82742870811464,82.0604786747589,82.0604786748589,82.29216463668108,82.29216463678108,82.51930391586299,82.519303915963,82.74624833721317,82.74624833731318,82.97078951197207,82.97078951207207,83.19461620801464,83.19461620811464,83.41636442051879,83.41636442061879,83.63713834386432,83.63713834396432,83.85784731459927,83.85784731469927,84.0783614275025,84.0783614276025,84.29868068257399,84.29868068267399,84.51880507981377,84.51880507991378,84.7363963252411,84.7363963253411,84.951454418856,84.951454418956,85.16579803375457,85.16579803385457,85.37994679082142,85.37994679092142,85.59273154306618,85.59273154316618,85.80506162703692,85.80506162713692,86.01583284835384,86.01583284845384,86.22472044396409,86.22472044406409,86.43256879780512,86.43256879790512,86.63944286248753,86.63944286258753,86.84540759062189,86.84540759072189,87.05130736614566,87.05130736624567,87.25714218905887,87.25714218915887,87.46161300714998,87.46161300724998,87.66413524692385,87.66413524702385,87.86503367143332,87.86503367153333,88.06287932324577,88.06287932334577,88.26033525939475,88.26033525949475,88.4573365272697,88.4573365273697,88.65375322164948,88.65375322174948,88.84614285417359,88.8461428542736,89.03684371882275,89.03684371892275,89.22572591037579,89.22572591047579,89.41330904971733,89.41330904981733,89.60004780512138,89.60004780522138,89.78613703441968,89.78613703451968,89.97105711672764,89.97105711682764,90.1543533837712,90.1543533838712,90.33700012470901,90.33700012480901,90.51685390339209,90.51685390349209,90.69534367725308,90.69534367735308,90.87311897239773,90.87311897249774,91.05004988360493,91.05004988370493,91.2262013634852,91.2262013635852,91.40157341203857,91.40157341213857,91.74984930994347,91.74984931004347,91.92099943880945,91.92099943890945,92.09104537329564,92.09104537339564,92.26031187645494,92.26031187655494,92.42944847439308,92.42944847449309,92.59533744180246,92.59533744190246,92.76116145660126,92.76116145670126,92.92419250914533,92.92419250924533,93.08501517292983,93.08501517302983,93.24499345277685,93.24499345287686,93.40484182740272,93.40484182750272,93.56326124459595,93.56326124469595,93.721550756568,93.72155075666801,93.87347491270368,93.87347491280369,94.0181893290655,94.01818932916551,94.16095516711007,94.16095516721008,94.30365605254407,94.30365605264407,94.44512283837712,94.44512283847712,94.58568028766213,94.58568028776213,94.72571811606252,94.72571811616253,94.86510641835717,94.86510641845717,95.00436481543066,95.00436481553066,95.14316854423014,95.14316854433014,95.28190732041902,95.28190732051903,95.419866665281,95.41986666538101,95.5565269579315,95.5565269580315,95.69162838792816,95.69162838802816,95.82588543398737,95.82588543408737,95.95968781177253,95.95968781187253,96.09121684818756,96.09121684828756,96.2208622588959,96.22086225899591,96.34946842783505,96.34946842793505,96.47508677668773,96.47508677678773,96.60051026770869,96.60051026780869,96.72554404306618,96.72554404316618,96.84875914532756,96.84875914542756,96.97041538493515,96.97041538503515,97.09161695626871,97.09161695636871,97.21210404888593,97.21210404898594,97.33129208929165,97.33129208939165,97.44976565098105,97.44976565108105,97.56603082391088,97.56603082401088,97.68080208679747,97.68080208689747,97.79537849185235,97.79537849195235,97.90917546558032,97.90917546568032,98.0216084344862,98.0216084345862,98.1311185359162,98.1311185360162,98.24043377951446,98.24043377961446,98.34935930744929,98.34935930754929,98.4575054040572,98.4575054041572,98.56532673761224,98.56532673771224,98.67275835550383,98.67275835560383,98.77986521034254,98.77986521044254,98.88677720734952,98.88677720744953,98.99258500997672,98.99258501007672,99.09546994512803,99.09546994522803,99.1982249750582,99.1982249751582,99.30078514715663,99.30078514725663,99.4030205562022,99.4030205563022,99.5038270078151,99.5038270079151,99.6043736489857,99.6043736490857,99.70446562188228,99.70446562198228,99.8044276895577,99.8044276896577,99.9023762263053,99.9023762264053,100.0,100.0000000001],[0.0,1e-10,0.9377176270768461,0.9377176271768461,1.8708330655959486,1.8708330656959486,2.801777660455738,2.801777660555738,3.6939944044333837,3.6939944045333837,4.4782768016699865,4.4782768017699865,5.247015958305909,5.247015958405909,5.988576152327231,5.988576152427231,6.700612872581897,6.700612872681897,7.379739602961378,7.379739603061378,8.054958814754096,8.054958814854096,8.72835451787299,8.72835451797299,9.397408533673259,9.397408533773259,10.051440311351081,10.051440311451081,10.704777419057923,10.704777419157923,11.356985688061924,11.356985688161924,12.003549763551709,12.003549763651709,12.614164668043271,12.614164668143271,13.222348227636402,13.222348227736402,13.784423067905726,13.784423068005726,14.346411074428678,14.346411074528678,14.899715706314376,14.899715706414376,15.43799810007763,15.43799810017763,15.973675481449707,15.973675481549707,16.507008351669725,16.507008351769723,17.034697028375533,17.03469702847553,17.561170032632123,17.56117003273212,18.086687865678613,18.08668786577861,18.60473799653707,18.60473799663707,19.10950256420053,19.109502564300527,19.611748953219188,19.611748953319186,20.100622945296475,20.100622945396474,20.58550258504063,20.585502585140627,21.069861222306546,21.069861222406544,21.554133025826093,21.55413302592609,22.038317995599265,22.038317995699263,22.51737977433646,22.51737977443646,22.984632163566992,22.98463216366699,23.441638170725565,23.441638170825563,24.3534793413834,24.3534793414834,24.804580653788644,24.804580653888642,25.250124606426045,25.250124606526043,25.69401871788237,25.694018717982367,26.131573965853498,26.131573965953496,26.566350533940707,26.566350534040705,26.996351245977426,26.996351246077424,27.425223119311305,27.425223119411303,27.8508821440294,27.850882144129397,28.27575966503014,28.27575966513014,28.69924784608892,28.699247846188918,29.119002176053684,29.119002176153682,29.533893816221585,29.533893816321584,29.94470427030998,29.94470427040998,30.349175860913178,30.349175861013176,30.750781937886085,30.750781937986083,31.152214347366247,31.152214347466245,31.552778419382683,31.55277841948268,31.94422494803,31.94422494813,32.33402163549625,32.33402163559625,32.722949985498765,32.72294998559877,33.10953382434923,33.10953382444923,33.4913418071492,33.4913418072492,33.87045794381162,33.870457943911624,34.2449718919163,34.2449718920163,34.61818333382539,34.618183333925394,34.99130794198811,34.99130794208811,35.36243537398426,35.362435374084264,35.733302304741294,35.733302304841295,36.10234572682451,36.10234572692451,36.46791579905282,36.46791579915282,36.831662362607304,36.831662362707306,37.19367225123434,37.19367225133434,37.55542163862226,37.555421638722265,37.91665002353194,37.916650023631945,38.27527339605045,38.27527339615045,38.633202098597984,38.633202098697986,38.982621094001004,38.982621094101006,39.3286535732955,39.3286535733955,39.67208104019881,39.67208104029881,40.014987504623896,40.0149875047239,40.699932096010336,40.69993209611034,41.04170972173257,41.041709721832575,41.38218484125923,41.38218484135923,41.72205212456127,41.722052124661275,42.060182732935864,42.060182733035866,42.39675033387576,42.39675033397576,42.73323110106927,42.733231101169274,43.06832252832083,43.06832252842083,43.40297978684052,43.40297978694052,43.73242702057786,43.73242702067786,44.06013757938775,44.06013757948775,44.38741396946578,44.387413969565785,44.71208534715264,44.71208534725264,45.03554105239027,45.035541052490274,45.358388921403304,45.358388921503305,45.68106312292359,45.68106312302359,46.00217431700917,46.00217431710917,46.323111843602,46.323111843702,46.643181032731114,46.643181032831116,46.959603204512575,46.95960320461258,47.27550437381581,47.27550437391581,47.59114504187992,47.59114504197992,47.90166251890805,47.90166251900805,48.211658993457945,48.21165899355795,48.519658291841274,48.519658291941276,48.826268250282645,48.82626825038265,49.13279137497764,49.132791375077645,49.43670948728146,49.436709487381464,49.740453932092535,49.74045393219254,50.04402470941087,50.04402470951087,50.34681398301185,50.34681398311185,50.649255921627336,50.64925592172734,50.95135052525733,50.951350525357334,51.25110061773527,51.25110061783527,51.549635037764,51.549635037864,51.84582494664066,51.84582494674066,52.14166752053184,52.14166752063184,52.43421041206086,52.43421041216086,52.72449562618419,52.724495626284195,53.01026548549616,53.010265485596165,53.290564818786656,53.29056481888666,53.56938797838882,53.56938797848882,53.84204594199853,53.84204594209853,54.114443404369126,54.11444340446913,54.38536469305139,54.385364693151395,54.655764979255416,54.65576497935542,54.925036426756606,54.92503642685661,55.1930053680622,55.193005368162204,55.4600191381577,55.4600191382577,55.726598739521336,55.72659873962134,55.992049502182134,55.992049502282136,56.256371426140085,56.25637142624009,56.52043284885892,56.52043284895892,56.78362593411403,56.78362593421403,57.046384850637274,57.046384850737276,57.571208013712784,57.571208013812786,57.83283809153319,57.83283809163319,58.09342616439712,58.093426164497124,58.35236439607998,58.35236439617998,58.608263446639796,58.6082634467398,58.86338099348226,58.86338099358226,59.116240862919035,59.11624086301904,59.36849289613121,59.36849289623121,59.61935558940142,59.619355589501424,59.86995778143251,59.86995778153251,60.11882329853616,60.11882329863616,60.36647314319058,60.366473143290584,60.612646814156676,60.61264681425668,60.85855998388366,60.85855998398366,61.10369164989328,61.10369164999328,61.34786814469281,61.34786814479281,61.590915800789496,61.5909158008895,61.83370295564706,61.833702955747064,62.0756217730409,62.0756217731409,62.31675908671739,62.31675908681739,62.556854395437405,62.55685439553741,62.79677603666468,62.79677603676468,63.276271984133736,63.27627198423374,63.51471745167268,63.51471745177268,63.75264191673338,63.75264191683338,63.990132213062225,63.99013221316223,64.22614633570274,64.22614633580274,64.46094478589403,64.46094478599403,64.69565640233895,64.69565640243896,64.9302811850375,64.9302811851375,65.1635166277941,65.1635166278941,65.39388655692039,65.3938865570204,65.62373548356845,65.62373548366845,65.85323707523102,65.85323707533102,66.08256499940084,66.08256499950085,66.30885374244764,66.30885374254764,66.53392681304521,66.53392681314521,66.7586525486573,66.7586525487573,66.983291450523,66.983291450623,67.20584634247577,67.20584634257577,67.4278802319503,67.4278802320503,67.64921945145386,67.64921945155386,68.09181105671459,68.09181105681459,68.31228193875442,68.31228193885443,68.53231865206239,68.53231865216239,68.75105285917476,68.75105285927476,68.96883189507705,68.96883189517705,69.18565575976923,69.18565575986923,69.4022191232223,69.4022191233223,69.61765364797252,69.61765364807252,69.83291450523,69.83291450533,70.0480885287411,70.0480885288411,70.26143904357838,70.26143904367838,70.47452905717655,70.47452905727656,70.68735856953559,70.68735856963559,70.89984074690915,70.89984074700915,71.32463143416352,71.32463143426352,71.53685311029795,71.53685311039796,71.74881428519328,71.74881428529328,72.1718682975202,72.17186829762021,72.38165862875621,72.38165862885621,72.59066745627487,72.59066745637487,72.79906844756891,72.79906844766892,73.0066879351456,73.00668793524561,73.21413375522957,73.21413375532957,73.42123224032802,73.42123224042803,73.62711505297727,73.62711505307728,73.83056652072808,73.83056652082809,74.03280231602969,74.03280231612969,74.23356193764295,74.23356193774295,74.43354005553887,74.43354005563887,74.6328235034638,74.6328235035638,74.83175961640325,74.83175961650325,75.03052206184994,75.03052206194994,75.22858983732566,75.22858983742566,75.42526827285941,75.42526827295941,75.62151253966131,75.62151253976131,75.81766997271684,75.81766997281684,76.01304590205501,76.01304590215501,76.20694565770485,76.20694565780485,76.40041124462282,76.40041124472282,76.59318216156981,76.59318216166982,76.97863716171743,76.97863716181743,77.17080024243982,77.17080024253983,77.3627028219231,77.3627028220231,77.553823897689,77.553823897789,77.74459763846943,77.74459763856943,77.934937210518,77.934937210618,78.1248426138347,78.1248426139347,78.31275084098483,78.31275084108483,78.49970389692487,78.49970389702487,78.68587544914756,78.68587544924756,78.87126549765289,78.87126549775289,79.05587404244086,79.05587404254086,79.24022208598973,79.24022208608973,79.42448329579221,79.42448329589222,79.6081366693701,79.6081366694701,79.79152954170885,79.79152954180886,79.97335940661291,79.97335940671292,80.15492877027785,80.15492877037785,80.33589029771818,80.33589029781818,80.51667815766577,80.51667815776577,80.87816704381457,80.87816704391457,81.23913492748514,81.23913492758514,81.41775194377341,81.41775194387341,81.7745518076181,81.7745518077181,81.95203998520353,81.95203998530353,82.12900716031072,82.12900716041072,82.30562700043244,82.30562700053244,82.48042333188032,82.48042333198032,82.65469866084996,82.65469866094996,82.82888715607324,82.82888715617324,83.00238098132553,83.00238098142553,83.17526697035322,83.17526697045322,83.34771879064905,83.34771879074906,83.51956277472027,83.51956277482027,83.69053842132776,83.69053842142776,83.86107989920339,83.86107989930339,84.03144770958627,84.03144770968628,84.20120768374454,84.20120768384454,84.37062032291733,84.37062032301733,84.53959879335827,84.53959879345827,84.70770892633546,84.70770892643546,84.87529805683442,84.87529805693443,85.04201884986966,85.04201884996966,85.20752397045568,85.20752397055568,85.53844737788135,85.53844737798136,85.70377883097464,85.70377883107464,85.86876294908242,85.86876294918243,86.03339973220473,86.03339973230473,86.36215229597109,86.36215229607109,86.69029702351284,86.69029702361284,86.85423913666416,86.85423913676416,87.01783391482999,87.01783391493,87.18134185924944,87.18134185934944,87.34450246868342,87.34450246878342,87.50757624437101,87.50757624447101,87.67030268507311,87.67030268517311,87.83276862453609,87.83276862463609,88.15761366971569,88.15761366981569,88.3196454404468,88.31964544054681,88.48159037743156,88.48159037753156,88.64301431193807,88.64301431203808,88.80426457895184,88.80426457905185,88.9652543447265,88.9652543448265,89.12598360926204,89.12598360936204,89.2856708688411,89.2856708689411,89.4449239596883,89.4449239597883,89.60409021678913,89.60409021688913,89.76273547141173,89.76273547151173,89.92129389228795,89.92129389238795,90.0797654794178,90.0797654795178,90.23788973156216,90.23788973166216,90.3947983112573,90.3947983113573,90.55162005720607,90.55162005730607,90.70783396693024,90.70783396703024,90.86361370792254,90.86361370802254,91.01861194519749,91.0186119452975,91.17274184500872,91.17274184510872,91.32652440983445,91.32652440993445,91.48013330716743,91.48013330726744,91.63356853700768,91.63356853710768,91.78639593062331,91.78639593072332,91.93896282299983,91.93896282309983,92.09083504540537,92.09083504550537,92.24218626533266,92.24218626543266,92.39336381776722,92.39336381786723,92.54358619899169,92.54358619909169,92.69320074399154,92.69320074409154,92.84177328403491,92.84177328413492,92.99025899033192,92.99025899043193,93.1385710291362,93.1385710292362,93.28636206546223,93.28636206556223,93.43406626804189,93.43406626814189,93.72938783945483,93.72938783955483,93.87631053831713,93.87631053841713,94.02288590219395,94.02288590229395,94.31551562746934,94.31551562756934,94.46139632137516,94.46139632147516,94.60719018153463,94.60719018163464,94.75281037420135,94.75281037430135,94.89808323188257,94.89808323198257,95.04266141959282,95.04266141969282,95.18697910606394,95.18697910616395,95.3309494575496,95.3309494576496,95.47474614154248,95.47474614164248,95.61793498931077,95.61793498941077,95.76095016958631,95.76095016968631,95.90361801487636,95.90361801497636,96.04550435644906,96.04550435654906,96.18713019678263,96.18713019688263,96.32840870213073,96.32840870223073,96.46951353998607,96.46951354008607,96.61044471034867,96.61044471044868,96.8922202173275,96.89222021742751,97.03263038521186,97.03263038531186,97.17260638436437,97.17260638446437,97.31101937608217,97.31101937618217,97.44882453157535,97.44882453167536,97.58628235208306,97.58628235218306,97.723566505098,97.72356650519801,97.86032965563473,97.86032965573473,97.99665863743958,97.99665863753958,98.1328139517517,98.1328139518517,98.26888243231744,98.26888243241744,98.40434307665856,98.40434307675856,98.53963005350695,98.53963005360696,98.67387502539887,98.67387502549887,98.8077726623053,98.8077726624053,98.94140979797261,98.94140979807261,99.07496009989354,99.07496009999355,99.20816306682899,99.20816306692899,99.34127920001806,99.34127920011807,99.47430849946076,99.47430849956076,99.60664312893249,99.60664312903249,99.73793575344773,99.73793575354773,99.86914154421662,99.86914154431662,100.0,100.0000000001],[0.0,1e-10,1.2926008784506728,1.2926008785506728,2.4867329189094276,2.4867329190094276,3.6321674134465862,3.6321674135465862,4.7573270542342865,4.7573270543342865,5.826462410673795,5.826462410773795,6.860795759586974,6.860795759686974,7.889823539294688,7.889823539394688,8.884301957628713,8.884301957728713,9.866906006788602,9.866906006888602,10.808644540758772,10.808644540858772,11.732003067124293,11.732003067224293,12.649740216593546,12.649740216693546,13.540317904653868,13.540317904753868,14.38150326987283,14.38150326997283,15.2199726889509,15.2199726890509,16.051241692678694,16.051241692778692,16.880300042570877,16.880300042670875,17.70752670785641,17.707526707956408,18.524837011650778,18.524837011750776,19.33778916931208,19.33778916941208,20.13874063472293,20.138740634822927,20.93287065401246,20.93287065411246,21.679566358143607,21.679566358243605,22.408513670051704,22.408513670151702,23.133355481979383,23.13335548207938,23.84607027858028,23.84607027868028,24.555311190582362,24.55531119068236,25.223307618165762,25.22330761826576,25.890356622676762,25.89035662277676,26.538394004201507,26.538394004301505,27.181441624211587,27.181441624311585,27.809077828910553,27.80907782901055,28.435829772075273,28.43582977217527,29.058728861412217,29.058728861512215,29.67512231231865,29.675122312418647,30.288736655546025,30.288736655646023,30.89786652956402,30.897866529664018,31.49941701900278,31.49941701910278,32.092377539251736,32.09237753935174,32.677758674921456,32.67775867502146,33.25587623370274,33.255876233802745,33.83203578480106,33.83203578490106,34.394236635965946,34.39423663606595,34.95157404869249,34.951574048792494,35.507585069117674,35.507585069217676,36.06226969724148,36.062269697341485,36.61209088692695,36.61209088702695,37.16128046123082,37.16128046133082,37.704532850947615,37.70453285104762,38.24342709453135,38.24342709463135,39.3048567433153,39.3048567434153,39.82480252545094,39.82480252555094,40.34335875374706,40.34335875384706,40.86039910512733,40.86039910522733,41.372954987298215,41.37295498739822,41.87591031566873,41.875910315768735,42.376276020974686,42.37627602107469,42.87588378782271,42.87588378792271,43.367470039324374,43.367470039424376,43.858550998520755,43.85855099862076,44.34918982695002,44.34918982705002,44.83824961692527,44.83824961702527,45.32276177615298,45.32276177625298,45.80588438154117,45.80588438164117,46.280164371586906,46.28016437168691,46.74869666166006,46.748696661760064,47.21666049788977,47.21666049798977,47.68146625721147,47.68146625731147,48.140461155022415,48.140461155122416,48.59313989901733,48.59313989911733,49.04082888149758,49.040828881597584,49.48573875629879,49.48573875639879,49.93026966187102,49.930269661971025,50.372210944378686,50.37221094447869,50.812573188432346,50.81257318853235,51.25249330171888,51.25249330181888,51.68982379194084,51.68982379204084,52.126964797548325,52.12696479764833,52.56303205700708,52.56303205710708,52.99783608570263,52.99783608580263,53.425881829815026,53.42588182991503,53.84824303549299,53.84824303559299,54.266498741190546,54.26649874129055,54.683112246895924,54.683112246995925,55.094735991086644,55.094735991186646,55.5059807660484,55.505980766148404,55.912109456419174,55.912109456519175,56.31773285448466,56.31773285458466,56.72019817564213,56.720198175742134,57.12045284296399,57.120452843063994,57.517991564144964,57.517991564244966,57.915151316096974,57.915151316196976,58.30397374501182,58.30397374511182,58.688564350869925,58.688564350969926,59.070881141354256,59.07088114145426,59.44966088570162,59.44966088580162,59.82401932237775,59.82401932247775,60.19357748215371,60.19357748225371,60.56256718808622,60.56256718818622,60.92738823250015,60.92738823260015,61.291703984608795,61.291703984708796,61.65595657517928,61.65595657527928,62.01509308115879,62.01509308125879,62.37201893330268,62.37201893340268,62.725218254695115,62.72521825479512,63.074185753030804,63.074185753130806,63.420626789840085,63.42062678994009,63.76675201895857,63.76675201905857,64.11079291731775,64.11079291741775,64.4545811695243,64.4545811696243,64.79691670635317,64.79691670645317,65.13893643549123,65.13893643559123,65.48082984155296,65.48082984165296,65.8217758245423,65.8217758246423,66.16221651522635,66.16221651532635,66.5023413982196,66.5023413983196,66.84063459660621,66.84063459670621,67.17488545655054,67.17488545665054,67.506420370354,67.506420370454,67.83384978417702,67.83384978427702,68.16001596723684,68.16001596733685,68.4861189887585,68.48611898885851,68.80799018722342,68.80799018732343,69.12259780879992,69.12259780889993,69.43651065345664,69.43651065355664,69.74859181350672,69.74859181360672,70.06004135817518,70.06004135827519,70.37123825669102,70.37123825679102,70.68230883213053,70.68230883223053,70.99015816912386,70.99015816922386,71.29718640612111,71.29718640622112,71.59966701237082,71.59966701247082,71.89848424940723,71.89848424950723,72.19540664029883,72.19540664039883,72.48512861584015,72.48512861594016,72.7716293529353,72.77162935303531,73.0577511208015,73.0577511209015,73.34223068867551,73.34223068877552,73.62298372579808,73.62298372589808,73.90367360138248,73.90367360148248,74.1814580462115,74.1814580463115,74.45886352181158,74.45886352191158,74.73544789741555,74.73544789751556,75.01196911148138,75.01196911158138,75.28665864094054,75.28665864104055,75.55680053965219,75.55680053975219,75.82624766144404,75.82624766154404,76.09487368323984,76.09487368333984,76.3600258204368,76.3600258205368,76.62315678841264,76.62315678851265,76.8840139410147,76.8840139411147,77.14455528592596,77.14455528602596,77.40029635393705,77.40029635403705,77.65591109887181,77.65591109897181,78.16619316566893,78.16619316576893,78.41991306445888,78.41991306455888,78.67281186325275,78.67281186335275,78.92324736205836,78.92324736215836,79.1710932377994,79.1710932378994,79.41881279046413,79.41881279056413,79.66400588160244,79.66400588170244,79.90616721890905,79.90616721900905,80.14535996392213,80.14535996402213,80.38227889356143,80.38227889366144,80.61761878474674,80.61761878484674,80.84885317595162,80.84885317605162,81.07775059024458,81.07775059034458,81.30431102762559,81.30431102772559,81.5280291957894,81.5280291958894,81.74959987165576,81.74959987175576,81.97104422444579,81.97104422454579,82.19040424647653,82.19040424657653,82.40610089929397,82.40610089939398,82.62015535211926,82.62015535221926,82.83370451263926,82.83370451273926,83.04712735008293,83.04712735018293,83.25985541060685,83.25985541070685,83.47018333268066,83.47018333278066,83.67962699322024,83.67962699332024,83.88837587684006,83.88837587694006,84.09680895276907,84.09680895286907,84.3047367363928,84.3047367364928,84.51089599694804,84.51089599704804,84.71377085751894,84.71377085761894,84.91658255655169,84.91658255665169,85.11888896327915,85.11888896337915,85.318984716171,85.318984716271,85.5157960690785,85.5157960691785,85.90872399797378,85.90872399807378,86.10471425088521,86.10471425098521,86.29887281919,86.29887281929,86.49271557980397,86.49271557990397,86.68592672503635,86.68592672513635,86.87831677027265,86.87831677037265,87.0704541693563,87.0704541694563,87.26233892228731,87.26233892238731,87.45106559831031,87.45106559841031,87.63682368203976,87.63682368213976,87.8221396350021,87.8221396351021,88.00695029565917,88.00695029575917,88.1901819178622,88.1901819179622,88.37208714776389,88.3720871478639,88.55247650074973,88.55247650084974,88.73160262297236,88.73160262307236,88.91066558365682,88.91066558375682,89.08568620589904,89.08568620599904,89.25780139738588,89.25780139748588,89.42928497349111,89.42928497359111,89.59963164190945,89.59963164200946,89.76751501033954,89.76751501043954,89.935145732617,89.935145732717,90.09930257029563,90.09930257039564,90.26232250028738,90.26232250038738,90.42445816874489,90.4244581688449,90.58583589874448,90.58583589884448,90.74639252874798,90.74639252884798,90.90688599721331,90.90688599731331,91.06605307337729,91.06605307347729,91.22490434185046,91.22490434195046,91.38299767186571,91.38299767196571,91.54045938649935,91.54045938659935,91.69747897036586,91.69747897046587,91.8520984157823,91.8520984158823,92.00652837658424,92.00652837668424,92.15969510662299,92.15969510672299,92.31121963666956,92.31121963676956,92.46198622825823,92.46198622835823,92.61130010446918,92.61130010456918,92.75985604222222,92.75985604232223,92.90809617228446,92.90809617238446,93.05589417157958,93.05589417167958,93.20362900933654,93.20362900943654,93.3510480394027,93.3510480395027,93.4984039079307,93.4984039080307,93.64342279954676,93.64342279964676,93.78812588347202,93.78812588357202,93.93213419047751,93.93213419057751,94.07544772056325,94.07544772066325,94.21699272758049,94.21699272768049,94.35841141152142,94.35841141162142,94.49919848008075,94.49919848018075,94.63960657941111,94.63960657951111,94.77875144797827,94.77875144807827,94.91732786270198,94.91732786280198,95.05584111588753,95.05584111598753,95.33185703764806,95.33185703774807,95.46923338314673,95.46923338324673,95.60642024403091,95.60642024413092,95.74335445876247,95.74335445886247,95.88016235041769,95.8801623505177,96.01577017284787,96.01577017294787,96.15118851066356,96.15118851076356,96.284143548491,96.284143548591,96.4170354247803,96.4170354248803,96.54879039338269,96.54879039348269,96.68035587737062,96.68035587747062,96.81015283829004,96.81015283839004,96.93382313000792,96.93382313010792,97.05711445249683,97.05711445259684,97.179710998066,97.179710998166,97.3020548974825,97.30205489758251,97.42345137382662,97.42345137392662,97.54390042709832,97.54390042719832,97.66403367267922,97.66403367277923,97.78201942596267,97.78201942606267,97.89792084848683,97.89792084858684,98.01287484793859,98.01287484803859,98.1253655474021,98.1253655475021,98.23747727763664,98.23747727773664,98.34933636171856,98.34933636181856,98.45892163042669,98.45892163052669,98.56812792990586,98.56812793000586,98.67644996785077,98.67644996795077,98.7828771596509,98.7828771597509,98.88873589760756,98.88873589770756,98.99440515094976,98.99440515104976,99.09988491967748,99.09988491977748,99.20346984226038,99.20346984236038,99.30699160330512,99.30699160340512,99.40962910281561,99.40962910291562,99.51094021002474,99.51094021012474,99.61086176339435,99.61086176349436,99.71027802445867,99.71027802455868,99.80956796244668,99.80956796254668,99.90494188506874,99.90494188516874,100.0,100.0000000001],[0.0,1e-10,1.7905133303641463,1.7905133304641463,3.5505749585307433,3.5505749586307433,5.0573205073803,5.0573205074803,6.510585619548941,6.510585619648941,7.956369315438721,7.956369315538721,9.30845996214871,9.30845996224871,10.65792042344816,10.65792042354816,11.93291741334708,11.93291741344708,13.111123580138242,13.111123580238242,14.276061922747363,14.276061922847363,15.382142560725136,15.382142560825136,16.48348886496394,16.48348886506394,17.515456722929255,17.515456723029253,18.528370348809343,18.52837034890934,19.465008597783864,19.465008597883863,20.36798047350351,20.36798047360351,21.22553781446789,21.22553781456789,22.06135228937183,22.061352289471827,22.885652397034086,22.885652397134084,23.706562487944982,23.70656248804498,24.523322730763702,24.5233227308637,25.322197712790768,25.322197712890766,26.10499933953122,26.104999339631217,26.87044174256213,26.870441742662127,27.634598277170106,27.634598277270104,28.362224458853962,28.36222445895396,29.076816610614493,29.07681661071449,29.786382185812663,29.78638218591266,30.49150567009526,30.49150567019526,31.195284837390247,31.195284837490245,32.60062212652244,32.60062212662244,33.29428969212803,33.294289692228034,33.97720272183276,33.97720272193276,34.652809680952664,34.652809681052666,35.32549421183864,35.32549421193864,35.984501778589824,35.984501778689825,36.641931234094685,36.641931234194686,37.2653436249566,37.2653436250566,37.886184278972664,37.886184279072666,38.50638199877726,38.50638199887726,39.12541074728828,39.12541074738828,39.740991030483265,39.74099103058327,40.34681040337692,40.34681040347692,40.950058039424725,40.95005803952473,41.542609588136344,41.542609588236346,42.13428440837778,42.13428440847778,42.72128334344494,42.72128334354494,43.29974878806901,43.29974878816901,43.85261376136386,43.852613761463864,44.40068595235507,44.40068595245507,44.943380875395846,44.94338087549585,45.48455613575497,45.48455613585497,46.01889291404671,46.01889291414671,46.55077485262194,46.55077485272194,47.054893722974846,47.05489372307485,47.54703063756863,47.547030637668634,48.03069251028403,48.03069251038403,48.511841094718235,48.51184109481824,48.99141156790613,48.99141156800613,49.46893634133026,49.468936341430265,49.946168871931015,49.946168872031016,50.42287536544965,50.42287536554965,50.89788685059261,50.897886850692615,51.37248919578282,51.37248919588282,51.842298758669386,51.84229875876939,52.309010547627985,52.309010547727986,52.77285835691733,52.772858357017334,53.231854935338355,53.231854935438356,53.6888642625603,53.6888642626603,54.14242512446622,54.14242512456622,54.58260126506073,54.58260126516073,55.02178378005571,55.021783780155715,55.45932973523969,55.45932973533969,55.889686516968204,55.889686517068206,56.31951726161461,56.31951726171461,56.745490400992225,56.745490401092226,57.17111284898177,57.17111284908177,57.59071509480942,57.59071509490942,58.00342041000499,58.003420410104994,58.41115759720289,58.41115759730289,58.81749201884849,58.81749201894849,59.22312505771796,59.22312505781796,59.621861165955345,59.621861166055346,60.01568759475973,60.015687594859735,60.40647469820084,60.40647469830084,60.79568369039561,60.795683690495615,61.1821456000505,61.1821456001505,61.56808147262328,61.56808147272328,61.95162095404423,61.95162095414423,62.333056287136756,62.33305628723676,62.701165347482565,62.70116534758257,63.06757939945269,63.06757939955269,63.43247378874117,63.43247378884117,63.7953224782659,63.795322478365904,64.14858560318335,64.14858560328335,64.50103044819528,64.50103044829528,64.85189718196091,64.85189718206091,65.19984148749259,65.1998414875926,65.54194093655641,65.54194093665642,65.88246227437392,65.88246227447392,66.22286671506208,66.22286671516208,66.56315425862087,66.56315425872087,66.90326645648562,66.90326645658563,67.24256037444488,67.24256037454488,67.57811358426471,67.57811358436471,67.91314075700242,67.91314075710243,68.24080341059064,68.24080341069065,68.56390707613393,68.56390707623393,68.88344537923182,68.88344537933182,69.20158091677743,69.20158091687743,69.51924886580561,69.51924886590561,69.83212403253013,69.83212403263013,70.14377177939642,70.14377177949642,70.45436745209848,70.45436745219848,70.76291742503679,70.76291742513679,71.06696685849485,71.06696685859485,71.37089939482357,71.37089939492357,71.66974690602522,71.66974690612523,71.9666656145925,71.9666656146925,72.2635258745951,72.2635258746951,72.5551842123413,72.5551842124413,72.84275115055999,72.84275115065999,73.13025964021402,73.13025964031402,73.40853325664882,73.40853325674883,73.68265702499144,73.68265702509144,73.95567027060517,73.95567027070517,74.22804058200742,74.22804058210743,74.49889123072805,74.49889123082805,74.76927429093124,74.76927429103124,75.03948200544039,75.03948200554039,75.30834540296193,75.30834540306194,75.57709190335413,75.57709190345413,75.84548771235825,75.84548771245825,76.11177937303394,76.11177937313394,76.37772034232155,76.37772034242155,76.64184940610413,76.64184940620413,76.905744675628,76.905744675728,77.16858787098765,77.16858787108765,77.42985295510098,77.42985295520099,77.6900659650501,77.6900659651501,77.94881776088225,77.94881776098225,78.2069850710676,78.20698507116761,78.46380806426536,78.46380806436537,78.71759173209983,78.71759173219984,78.9697388401233,78.9697388402233,79.2215352567587,79.2215352568587,79.47122752506567,79.47122752516567,79.7196339249497,79.7196339250497,79.96669600784614,79.96669600794614,80.21334895078982,80.21334895088982,80.45877447387525,80.45877447397525,80.7038493055726,80.7038493056726,80.94804740879978,80.94804740889978,81.19148568068614,81.19148568078614,81.43305359850278,81.43305359860278,81.67432927349603,81.67432927359603,82.15647148352978,82.15647148362979,82.39575990732395,82.39575990742395,82.63323642561309,82.6332364257131,82.86276393910595,82.86276393920595,83.09007040714101,83.09007040724102,83.31533117541233,83.31533117551233,83.53544846999192,83.53544847009192,83.75509817605409,83.75509817615409,83.9746309849869,83.9746309850869,84.19293637406146,84.19293637416146,84.41089107174795,84.41089107184796,84.62791059239959,84.62791059249959,84.84329355324022,84.84329355334022,85.05855961695148,85.05855961705149,85.26751323567747,85.26751323577747,85.47488874315714,85.47488874325714,85.68185511068404,85.68185511078404,85.88689267557656,85.88689267567656,86.09005988639937,86.09005988649938,86.29094760319971,86.29094760329971,86.48821150898998,86.48821150908998,86.68524162052152,86.68524162062153,86.88168724640629,86.88168724650629,87.06755368208422,87.06755368218423,87.25236804359795,87.25236804369796,87.43694861085297,87.43694861095297,87.6211784867199,87.6211784868199,87.8052330168928,87.8052330169928,87.98852771572489,87.98852771582489,88.17164706886292,88.17164706896293,88.353305207884,88.35330520798401,88.53215781580052,88.53215781590052,88.7097245552941,88.7097245553941,88.88542094071796,88.88542094081797,89.0608835318831,89.06088353198311,89.23611232878955,89.23611232888955,89.40701593190975,89.40701593200976,89.5773350493832,89.5773350494832,89.7436212158938,89.7436212159938,89.90862151398149,89.90862151408149,90.0729788778577,90.0729788779577,90.23716089603988,90.23716089613988,90.39655013191842,90.39655013201842,90.55430280798595,90.55430280808595,90.71100340988926,90.71100340998926,90.86758711466322,90.86758711476323,91.02300184814362,91.02300184824362,91.1746174249199,91.1746174250199,91.32301833063886,91.32301833073886,91.47136078779313,91.47136078789313,91.61689771384285,91.61689771394285,91.7617332571164,91.7617332572164,91.90522448340236,91.90522448350237,92.04778053265346,92.04778053275346,92.1902196847752,92.1902196848752,92.33260038833227,92.33260038843227,92.473402980643,92.473402980743,92.61192607893128,92.61192607903128,92.74998158870213,92.74998158880213,92.88534846449775,92.88534846459775,93.02007240608192,93.02007240618192,93.15432875914865,93.15432875924866,93.4226661195881,93.4226661196881,93.55639643557274,93.55639643567274,93.68989295729865,93.68989295739865,93.82298033907182,93.82298033917182,93.95402202108123,93.95402202118123,94.08471301170258,94.08471301180258,94.21370899394823,94.21370899404823,94.47146716418085,94.47146716428085,94.59917727800358,94.59917727810358,94.72659514900293,94.72659514910293,94.85290249727338,94.85290249737338,94.97798242568557,94.97798242578557,95.10177648567485,95.10177648577485,95.22545364853475,95.22545364863475,95.47122986300825,95.47122986310825,95.59251063471635,95.59251063481635,95.71355761216572,95.71355761226572,95.83407855253299,95.83407855263299,95.95378121299476,95.95378121309476,96.07284093924505,96.07284093934506,96.19143307697793,96.19143307707793,96.30780416925302,96.30780416935302,96.42248025315243,96.42248025325243,96.53686409422843,96.53686409432844,96.64850085276456,96.64850085286456,96.75920243426582,96.75920243436582,96.86867659590884,96.86867659600884,96.97698178625828,96.97698178635828,97.19329992413377,97.19329992423377,97.29979320897817,97.29979320907817,97.40523441965836,97.40523441975836,97.51061718177387,97.51061718187387,97.61547390680727,97.61547390690727,97.71846027777096,97.71846027787096,97.82138820016996,97.82138820026996,97.9239654311809,97.9239654312809,98.02648421362717,98.02648421372717,98.1257883250161,98.1257883251161,98.22485864214633,98.22485864224633,98.32381206214718,98.32381206224719,98.42206409937191,98.42206409947191,98.5193225109971,98.5193225110971,98.6165224740576,98.6165224741576,98.71343019429472,98.71343019439472,98.8101625688378,98.8101625689378,98.90525838356987,98.90525838366987,98.99959436696113,98.99959436706114,99.09311207044689,99.0931120705469,99.18604528828585,99.18604528838586,99.27874471186611,99.27874471196611,99.37033361271747,99.37033361281748,99.4617471678748,99.4617471679748,99.55304382590276,99.55304382600276,99.64340530689587,99.64340530699587,99.73300695654817,99.73300695664817,99.82237481194174,99.82237481204174,99.91162577020596,99.91162577030596,100.0,100.0000000001],[0.0,1e-10,5.077654516640253,5.077654516740253,9.513017885442608,9.513017885542608,13.721021055014717,13.721021055114717,17.251245189042336,17.251245189142335,20.656101426307448,20.656101426407446,24.010527507357935,24.010527507457933,27.27196060674666,27.27196060684666,30.079861897215306,30.079861897315304,32.83172968077881,32.83172968087881,35.484831333484266,35.48483133358427,38.12061353860086,38.12061353870086,40.705512791487436,40.70551279158744,43.225379216662894,43.225379216762896,45.625650894272134,45.625650894372136,47.97170024903781,47.97170024913781,50.23488793298619,50.23488793308619,52.270602218700475,52.27060221880048,54.16425175458456,54.164251754684564,55.95788997056826,55.95788997066826,57.74054788317863,57.74054788327863,59.448777450758435,59.44877745085844,60.843445777677154,60.843445777777156,62.201381027846956,62.20138102794696,63.50854652479058,63.50854652489058,64.77331899479285,64.77331899489285,65.96168213719719,65.96168213729719,67.14908308806882,67.14908308816882,68.32459814353633,68.32459814363634,69.49881141045958,69.49881141055958,70.54963776318769,70.54963776328769,71.58971021055015,71.58971021065015,72.61784016300656,72.61784016310656,73.64014036676477,73.64014036686477,74.64523432193796,74.64523432203796,75.64387593389178,75.64387593399178,76.62995245641838,76.62995245651838,77.5672968077881,77.5672968078881,78.47056825899932,78.47056825909932,79.3639913968757,79.3639913969757,80.17053429929817,80.17053429939817,80.95296581390083,80.95296581400083,81.73494453248811,81.73494453258812,82.51482906950419,82.51482906960419,83.28565768621236,83.28565768631236,84.05105275073579,84.0510527508358,84.80241113878198,84.80241113888198,85.54335521847408,85.54335521857408,86.27835635046412,86.27835635056412,87.0120556939099,87.0120556940099,87.74450984831333,87.74450984841333,88.46762508489925,88.46762508499926,89.190117726964,89.190117727064,89.86942494906044,89.86942494916045,90.52790355444873,90.52790355454873,91.05178854426082,91.05178854436082,91.57550373556712,91.57550373566713,92.09701154629839,92.09701154639839,92.60827484718135,92.60827484728135,93.10623726511207,93.10623726521207,93.60289789449853,93.60289789459853,94.04929816617614,94.04929816627615,94.49196287072674,94.49196287082674,94.92511885895404,94.92511885905404,95.3168440117727,95.3168440118727,95.65887480190175,95.65887480200175,95.96722888838578,95.96722888848578,96.26980982567353,96.26980982577354,96.5589766810052,96.55897668110521,96.84061580258094,96.84061580268094,97.11902875254698,97.11902875264698,97.38634820013584,97.38634820023584,97.64749830201494,97.64749830211494,97.90587502829975,97.90587502839975,98.14772470002264,98.14772470012264,98.36353860086031,98.36353860096031,98.56395743717455,98.56395743727455,98.75967851482908,98.75967851492908,98.94787185872764,98.94787185882764,99.10702965813901,99.10702965823901,99.25713153724247,99.25713153734247,99.40304505320353,99.40304505330353,99.54097803939325,99.54097803949325,99.6743264659271,99.6743264660271,99.80586370839937,99.80586370849937,99.91159157799412,99.91159157809412,100.0,100.0000000001],[0.0,1e-10,1.5434736946514112,1.5434736947514112,2.5996843474861575,2.5996843475861575,3.632410686675496,3.632410686775496,4.661709191264419,4.661709191364419,5.583286170218973,5.583286170318973,6.443380924319246,6.443380924419246,7.281231219842349,7.281231219942349,8.1079957524024,8.1079957525024,8.882759304747625,8.882759304847625,9.648770938964123,9.648770939064123,10.404936665285808,10.404936665385808,11.071832826694518,11.071832826794518,11.737999661592498,11.737999661692498,12.400155200681482,12.400155200781482,13.052975360433162,13.052975360533162,13.693105238898191,13.693105238998191,14.331703531690696,14.331703531790696,14.964977740954893,14.964977741054893,15.568422495930358,15.568422496030358,16.152248367767267,16.152248367867266,16.71857040334673,16.71857040344673,17.284527775670835,17.284527775770833,17.84625505423272,17.84625505433272,18.40521089205384,18.40521089215384,18.962635144202437,18.962635144302435,19.501899166233933,19.50189916633393,20.576999375696506,20.576999375796504,21.109115997922878,21.109115998022876,21.639263438570286,21.639263438670284,22.167587562940877,22.167587563040875,22.694963562847523,22.69496356294752,23.216796681272644,23.216796681372642,23.73709821402524,23.73709821412524,24.24697037767444,24.24697037777444,24.752977110816786,24.752977110916785,25.251398848247575,25.251398848347574,25.746101020473652,25.74610102057365,26.24014679884008,26.240146798940078,26.73273392418505,26.73273392428505,27.220361629257077,27.220361629357075,27.703321644660456,27.703321644760454,28.17833200109691,28.178332001196907,28.64663255363467,28.64663255373467,29.111578204223093,29.11157820432309,29.575502797696494,29.575502797796492,30.034905566803392,30.03490556690339,30.490953433960943,30.49095343406094,30.94634490725884,30.94634490735884,31.395682970517704,31.395682970617703,31.83444579937103,31.834445799471027,32.267082285534244,32.267082285634245,32.69257137189234,32.692571371992344,33.11609127667147,33.11609127677147,33.536766808058765,33.53676680815877,33.954014504845645,33.95401450494565,34.36885542414713,34.36885542424713,34.78150836391642,34.781508364016425,35.193431977174995,35.193431977275,35.60345934150568,35.603459341605685,36.01042353449131,36.01042353459131,36.416439603012996,36.416439603113,36.81815264512139,36.81815264522139,37.21760477504653,37.21760477514653,37.61603584785666,37.61603584795666,38.01315413294747,38.01315413304747,38.40823030380825,38.408230303908255,38.803160609366884,38.803160609466886,39.197434521065865,39.19743452116587,39.58798886756014,39.587988867660144,39.97278153461967,39.97278153471967,40.73930369739368,40.73930369749368,41.11950160743563,41.11950160753563,41.499116056268996,41.499116056369,41.87843877449808,41.87843877459808,42.25717803151858,42.25717803161858,42.63526089467942,42.63526089477942,43.01224976807417,43.01224976817417,43.38376869263847,43.38376869273847,43.75492295394741,43.75492295404741,44.1243268316306,44.1243268317306,44.49322018075628,44.493220180856284,44.85905035853691,44.859050358636914,45.220358711951036,45.22035871205104,45.578968557275466,45.57896855737547,45.93750546994883,45.93750547004883,46.29400026839215,46.294000268492155,46.646994299583994,46.646994299683996,46.99933193691617,46.99933193701617,47.351377843644066,47.35137784374407,47.70335081772088,47.70335081782088,48.05474033058912,48.05474033068912,48.40481705573805,48.40481705583805,48.75051782182262,48.75051782192262,49.09300955125998,49.093009551359984,49.43396969502483,49.43396969512483,50.114723060137344,50.114723060237345,50.44948392856101,50.44948392866101,50.78380720107824,50.78380720117824,51.11638008996972,51.11638009006972,51.44742139318868,51.44742139328868,51.77780630254797,51.777806302647974,52.10789948130299,52.10789948140299,52.433689633644704,52.433689633744706,52.759333920684284,52.759333920784286,53.084540611817424,53.084540611917426,53.733932936968685,53.73393293706869,54.057389244476084,54.057389244576086,54.38069968668133,54.380699686781334,54.70328080237585,54.70328080247585,55.0252784568618,55.0252784569618,55.34625505423272,55.34625505433272,55.66241809663285,55.66241809673285,55.9752991697347,55.9752991698347,56.28737798367476,56.28737798377476,56.59931093231266,56.59931093241266,56.90839950755874,56.90839950765874,57.215373035923704,57.215373036023706,57.52183603573116,57.521836035831164,57.82742384372575,57.82742384382575,58.1325740558139,58.1325740559139,58.43611974957845,58.436119749678454,58.73944664538978,58.739446645489785,59.040585561668934,59.040585561768935,59.33858837395196,59.33858837405196,59.63615359032855,59.63615359042855,59.93233308633476,59.93233308643476,60.22019826011868,60.22019826021868,60.50696944413651,60.50696944423651,60.79082332211143,60.79082332221143,61.073874940924554,61.073874941024556,61.35109194765186,61.35109194775186,61.627944291123804,61.627944291223805,61.904723701944675,61.90472370204468,62.17296999259004,62.17296999269004,62.44092455263112,62.44092455273112,62.70661820048894,62.70661820058894,62.97172838713818,62.97172838723818,63.23654684318313,63.23654684328313,63.500635972717355,63.500635972817356,63.76209952681296,63.76209952691296,64.02115630342317,64.02115630352317,64.27868149436085,64.27868149446086,64.79249202116797,64.79249202126798,65.04833976113098,65.04833976123098,65.30338524193219,65.30338524203219,65.55697206971195,65.55697206981195,65.80902731181918,65.80902731191918,66.06079082332211,66.06079082342211,66.30905356757356,66.30905356767356,66.55680578326749,66.5568057833675,66.80288054798676,66.80288054808676,67.04341243122451,67.04341243132451,67.28277739204509,67.28277739214509,67.5217776896103,67.5217776897103,67.76019452596694,67.76019452606694,67.998027901115,67.998027901215,68.23476728649696,68.23476728659696,68.47121494127462,68.47121494137463,68.70722500014587,68.70722500024587,68.94104707948492,68.94104707958492,69.17304584254715,69.17304584264716,69.63573058095233,69.63573058105233,69.8660518930399,69.8660518931399,70.0952062827103,70.0952062828103,70.32428773972963,70.32428773982963,70.55249400493608,70.55249400503608,70.77858522326143,70.77858522336143,71.00343658651855,71.00343658661855,71.22785035386923,71.22785035396923,71.45102426615166,71.45102426625166,71.67390644782982,71.67390644792982,71.89401718876721,71.89401718886721,72.11405499705351,72.11405499715352,72.33336347882911,72.33336347892912,72.55252609530255,72.55252609540256,72.77110525056742,72.77110525066742,72.9858919079765,72.9858919080765,73.20060563273451,73.20060563283451,73.41451709833072,73.41451709843072,73.62828269862479,73.62828269872479,73.84095430915275,73.84095430925275,74.05245899726357,74.05245899736357,74.47379092251052,74.47379092261052,74.68303469843808,74.68303469853808,74.89198674376134,74.89198674386134,75.09999066462066,75.09999066472066,75.30478554883278,75.30478554893278,75.50892403918526,75.50892403928526,75.71211440507378,75.71211440517378,75.91457544445157,75.91457544455157,76.11645302262079,76.11645302272079,76.317309543675,76.317309543775,76.51736380556738,76.51736380566739,76.71646994299584,76.71646994309584,76.91499261921571,76.91499261931571,77.11329649748237,77.11329649758237,77.310579318634,77.310579318734,77.50705988062384,77.50705988072384,77.70302991405616,77.70302991415616,77.89666610265417,77.89666610275417,78.08796844641785,78.08796844651785,78.27905199222829,78.27905199232829,78.46904154827266,78.46904154837266,78.65859350841059,78.65859350851059,78.8479266705953,78.8479266706953,79.036238775665,79.036238775765,79.22258169915573,79.22258169925573,79.40841409408895,79.40841409418896,79.59380889311574,79.59380889321574,79.77913075949145,79.77913075959145,79.96379623200751,79.96379623210751,80.1483887718725,80.1483887719725,80.32838655471991,80.32838655481991,80.50823847226518,80.50823847236518,80.68757986125293,80.68757986135293,80.86626485638102,80.86626485648102,81.04370999644088,81.04370999654088,81.21991528143252,81.21991528153252,81.39378672158982,81.39378672168982,81.5674393637939,81.5674393638939,81.74094614069584,81.74094614079584,81.91314012987847,81.91314012997847,82.0850423884568,82.0850423885568,82.256798781733,82.256798781833,82.4282634444049,82.4282634445049,82.59914464586822,82.59914464596822,82.76951531877403,82.76951531887403,82.93981305902876,82.93981305912877,83.27989801098074,83.27989801108075,83.44895589616725,83.44895589626725,83.61779498340053,83.61779498350053,83.78568594616986,83.78568594626987,83.95051373759415,83.95051373769415,84.11519566371629,84.1151956638163,84.27929412862986,84.27929412872986,84.44164220991767,84.44164221001768,84.60216697492868,84.60216697502868,84.76247294198645,84.76247294208645,84.92234131313779,84.9223413132378,85.0817720883827,85.08177208848271,85.24069233507011,85.24069233517011,85.3991020532,85.3991020533,85.55729297337666,85.55729297347666,85.71490043234475,85.71490043244475,85.87228909335963,85.87228909345963,86.02960482172342,86.02960482182343,86.18684761743616,86.18684761753616,86.34387161519567,86.34387161529567,86.50053094969981,86.50053094979981,86.65711735155288,86.65711735165289,86.81312029219737,86.81312029229737,86.96832097368006,86.96832097378007,87.12271939600096,87.12271939610096,87.27675315506649,87.27675315516649,87.43056811617879,87.43056811627879,87.5835808181293,87.58358081822931,87.73652058742874,87.73652058752874,88.04203546277226,88.04203546287226,88.34652928100076,88.34652928110076,88.49779159932552,88.49779159942553,88.64861632174384,88.64861632184385,88.79834705439609,88.79834705449609,88.94800485439725,88.94800485449726,89.09751678909628,89.09751678919628,89.24637232993564,89.24637233003564,89.39508200547287,89.39508200557287,89.54313528715043,89.54313528725044,89.6906780402705,89.6906780403705,89.83792906278626,89.83792906288626,90.13141005070278,90.13141005080278,90.27712948754602,90.27712948764602,90.42109854076352,90.42109854086353,90.5645570654235,90.5645570655235,90.70794265743243,90.70794265753243,90.99464090879918,90.99464090889919,91.13678664573986,91.13678664583986,91.27813012351874,91.27813012361874,91.41881720743797,91.41881720753797,91.55892083014861,91.55892083024861,91.69895152020818,91.69895152030819,91.83890927761668,91.83890927771668,91.97821064116552,91.97821064126552,92.11685561085471,92.11685561095472,92.25528178259069,92.25528178269069,92.39319742576915,92.39319742586915,92.5308942709944,92.5308942710944,92.66829938561534,92.66829938571534,92.80504810637665,92.80504810647665,92.94143216388258,92.94143216398258,93.07774328873745,93.07774328883745,93.3497820772386,93.3497820773386,93.48478041437416,93.48478041447416,93.61970581885863,93.61970581895864,93.75412069478561,93.75412069488561,93.887952109504,93.887952109604,94.02127299566489,94.02127299576489,94.15437508387255,94.15437508397255,94.28718544147593,94.28718544157593,94.41970406847501,94.41970406857502,94.55171216691659,94.55171216701659,94.68357440005602,94.68357440015602,94.81521783524222,94.81521783534222,94.94635074187093,94.94635074197093,95.0759520628271,95.0759520629271,95.33457124353087,95.33457124363088,95.46344323797632,95.46344323807632,95.59180470386427,95.59180470396427,95.71943684324148,95.71943684334148,95.8467772520144,95.8467772521144,95.97382593018303,95.97382593028303,96.09941595533022,96.09941595543022,96.22456838457096,96.22456838467096,96.34964788116062,96.34964788126062,96.47428978184385,96.47428978194385,96.59885874987602,96.59885874997602,96.72291718935067,96.72291718945067,96.8467568308721,96.8467568309721,96.97030474178925,96.97030474188925,97.09334212414888,97.09334212424888,97.21623364120636,97.21623364130636,97.33897929296171,97.33897929306171,97.46143321411276,97.46143321421276,97.58264728019557,97.58264728029557,97.70320495241874,97.70320495251875,97.82354382668868,97.82354382678868,97.94359097035434,97.94359097045434,98.06320051811355,98.06320051821355,98.18273713322169,98.1827371333217,98.30190908507448,98.30190908517449,98.42064344102083,98.42064344112083,98.53631462562211,98.53631462572211,98.65191287757233,98.65191287767233,98.76707353361611,98.76707353371611,98.88216125700883,98.88216125710883,98.99666551919296,98.99666551929296,99.22450712114406,99.22450712124406,99.33631287523849,99.33631287533849,99.44789983137971,99.44789983147972,99.55904919161449,99.5590491917145,99.66976095594285,99.66976095604285,99.7801809896669,99.7801809897669,99.89016342748452,99.89016342758453,100.0,100.0000000001],[0.0,1e-10,2.8879562680015924,2.8879562681015924,5.64280157464335,5.64280157474335,8.103845283225052,8.103845283325052,10.545427107698632,10.545427107798632,12.95089516861329,12.95089516871329,15.052726615167261,15.052726615267261,17.044395471729533,17.04439547182953,19.009005024184255,19.009005024284253,20.96674567636552,20.966745676465518,22.82951857855394,22.82951857865394,24.58530315527097,24.58530315537097,26.08064192995283,26.080641930052828,27.56453253751226,27.56453253761226,29.00767807754052,29.007678077640517,30.383851839902587,30.383851840002585,31.730624627609338,31.730624627709336,33.01287138244424,33.01287138254424,34.293296837964206,34.29329683806421,35.56419949992325,35.56419950002325,36.811997679144305,36.81199767924431,38.04829565411965,38.04829565421965,39.28407325786216,39.28407325796216,40.47452652722452,40.47452652732452,41.583281513031395,41.583281513131396,42.67195016925074,42.671950169350744,43.701452616296464,43.701452616396466,44.67777312334619,44.677773123446194,45.65216825683443,45.65216825693443,46.61880985895338,46.61880985905338,47.56333568367673,47.563335683776735,48.496101118537965,48.49610111863797,49.42813803367322,49.42813803377322,50.33181471661884,50.33181471671884,51.22128526490798,51.221285265007985,52.09691393840366,52.09691393850366,52.927114203272616,52.92711420337262,53.72458311759609,53.72458311769609,54.516536096851496,54.5165360969515,55.30146406446359,55.30146406456359,56.07707738700789,56.07707738710789,56.840618096950365,56.84061809705037,57.60134880223551,57.601348802335515,58.35354541930213,58.35354541940213,59.0985088762323,59.0985088763323,59.837904360971116,59.83790436107112,60.56730871803945,60.56730871813945,61.29098899154657,61.29098899164657,62.00956962697188,62.00956962707188,62.722218030342844,62.722218030442846,63.433149208645446,63.43314920874545,64.13846037763341,64.13846037773341,64.83856783429299,64.83856783439299,65.52967286862447,65.52967286872448,66.20329342953264,66.20329342963264,66.84647227331979,66.84647227341979,67.47997221217616,67.47997221227617,68.11097436911493,68.11097436921493,68.74031133810861,68.74031133820861,69.33873825587173,69.33873825597173,69.93617646829247,69.93617646839247,70.51404872235852,70.51404872245853,71.07964021532962,71.07964021542962,71.63711391706843,71.63711391716843,72.18678205031469,72.18678205041469,72.70371883301547,72.70371883311547,73.21477542078519,73.21477542088519,73.72177311293878,73.72177311303878,74.22257838742159,74.2225783875216,74.72177051108261,74.72177051118261,75.20056408241639,75.2005640825164,75.66473522210745,75.66473522220745,76.12531580029193,76.12531580039193,76.56185522751932,76.56185522761932,76.99626113269207,76.99626113279207,77.42889777567316,77.42889777577317,77.8566429290656,77.8566429291656,78.28402382259505,78.28402382269505,78.701777848317,78.701777848417,79.11927168842251,79.11927168852252,79.53364330113102,79.53364330123102,79.94634972589445,79.94634972599445,80.35562170052116,80.35562170062116,80.76307237583292,80.76307237593292,81.16870175182976,81.16870175192976,81.56080147577282,81.56080147587282,81.93213838752565,81.93213838762566,82.29660639900506,82.29660639910506,82.65691144062174,82.65691144072174,83.01633185114261,83.01633185124261,83.37231781152674,83.37231781162674,83.71763616163771,83.71763616173772,84.05244301284536,84.05244301294536,84.38574078747779,84.38574078757779,84.71045243676839,84.7104524368684,85.0290757426348,85.0290757427348,85.34603386055612,85.34603386065612,85.66012993669683,85.66012993679684,85.97178026804322,85.97178026814322,86.27734225596541,86.27734225606541,86.57905349676459,86.57905349686459,86.87639361920795,86.87639361930795,87.1596316812414,87.1596316813414,87.43745788245334,87.43745788255335,87.71205778202169,87.71205778212169,87.97827970474137,87.97827970484137,88.23378198006458,88.23378198016458,88.48756703031943,88.48756703041943,88.7355239227665,88.7355239228665,88.98207581288491,88.98207581298492,89.2181162041,89.2181162042,89.45259548161658,89.45259548171659,89.68332808625674,89.68332808635674,89.91223939158195,89.91223939168195,90.13964162033194,90.13964162043195,90.35809346387713,90.35809346397713,90.57581678769634,90.57581678779634,90.79312381452928,90.79312381462928,91.00965028451297,91.00965028461297,91.22435545518172,91.22435545528172,91.43442932187823,91.43442932197823,91.64252577788994,91.64252577798995,91.84630315266911,91.84630315276911,92.04446051813363,92.04446051823363,92.24116084414621,92.24116084424621,92.43650820495341,92.43650820505341,92.6306066748018,92.6306066749018,92.82392458780093,92.82392458790093,93.00959304367736,93.00959304377736,93.19338816311557,93.19338816321557,93.37650679995109,93.37650680005109,93.55645117226629,93.5564511723663,93.7319203519791,93.7319203520791,93.90509989826742,93.90509989836742,94.07479295729574,94.07479295739574,94.24188416015986,94.24188416025986,94.40517665302427,94.40517665312427,94.56581525260121,94.56581525270121,94.72317551341126,94.72317551351126,94.88017151435834,94.88017151445834,95.0359186243466,95.03591862444661,95.18989647214323,95.18989647224323,95.33929505309088,95.33929505319088,95.48401029294298,95.48401029304299,95.62523904553508,95.62523904563508,95.76615557538749,95.76615557548749,95.90545895441808,95.90545895451808,96.04445011070898,96.04445011080898,96.1798507054933,96.1798507055933,96.31410648356538,96.31410648366538,96.44617670245954,96.44617670255954,96.70266768312514,96.70266768322514,96.82599566530763,96.82599566540763,96.94781457091489,96.94781457101489,97.06942532802901,97.06942532812901,97.18760163500642,97.18760163510642,97.30161497212111,97.30161497222112,97.41536812361939,97.41536812371939,97.52761219854244,97.52761219864244,97.63564126647951,97.63564126657951,97.7420051464715,97.7420051465715,97.84816087797034,97.84816087807035,97.95374420111307,97.95374420121307,98.05844289315998,98.05844289325998,98.16303751096032,98.16303751106032,98.2665393491717,98.2665393492717,98.36926063053382,98.36926063063382,98.46896375874549,98.46896375884549,98.56835466421745,98.56835466431745,98.66753742119629,98.66753742129629,98.7642223962575,98.7642223963575,98.8602829258393,98.8602829259393,98.95530271295543,98.95530271305543,99.04948990609901,99.04948990619901,99.14341691362618,99.14341691372618,99.23307687704408,99.23307687714409,99.32242461772228,99.32242461782228,99.41088772730465,99.41088772740466,99.49768564894195,99.49768564904196,99.58411931071626,99.58411931081626,99.67039686112072,99.67039686122072,99.75573774330607,99.75573774340607,99.8392573261765,99.8392573262765,99.92038320137586,99.92038320147586,100.0,100.0000000001],[0.0,1e-10,1.3994119642655207,1.3994119643655207,2.74228203098496,2.74228203108496,4.041496493087425,4.041496493187425,5.234662024094738,5.234662024194738,6.2603057470236605,6.2603057471236605,7.2565608325071205,7.2565608326071205,8.245123590068612,8.245123590168612,9.23263440535018,9.23263440545018,10.202656680227955,10.202656680327955,11.165118119968758,11.165118120068758,12.120807681282528,12.120807681382528,13.07301268379404,13.07301268389404,13.990635083852949,13.990635083952949,14.882156166091166,14.882156166191166,15.773085530796925,15.773085530896925,16.644553963324032,16.64455396342403,17.502675878174564,17.502675878274562,18.346793811423566,18.346793811523565,19.164678934066888,19.164678934166886,19.960276029654253,19.96027602975425,20.73213867755076,20.73213867765076,21.49223272119059,21.492232721290588,22.2164292345279,22.2164292346279,22.936286485960515,22.936286486060514,23.65035805485353,23.65035805495353,24.33681613889846,24.336816138998458,25.00907300216437,25.00907300226437,25.660093780654254,25.660093780754252,26.307695746734378,26.307695746834376,26.949577776667393,26.94957777676739,27.591131074637936,27.591131074737934,28.22255942816418,28.222559428264177,28.851686657953078,28.851686658053076,29.47976194546205,29.47976194556205,30.107245515438567,30.107245515538565,30.731967736930276,30.731967737030274,31.344066651062857,31.344066651162855,31.94650084549861,31.946500845598607,32.53854710992008,32.53854711002008,33.11343356590024,33.11343356600024,33.68286307130328,33.68286307140328,34.2511091416414,34.2511091417414,34.81613363874724,34.81613363884724,35.37320282236114,35.37320282246114,35.92744491109773,35.92744491119773,36.4805035647694,36.4805035648694,37.02981467406883,37.02981467416883,37.57892854419078,37.57892854429078,38.127516443172766,38.12751644327277,38.671896573035035,38.67189657313504,39.20529705535057,39.20529705545057,39.736988131461224,39.736988131561226,40.25375477647542,40.25375477657542,40.77012694313463,40.77012694323463,41.28623612422386,41.286236124323864,41.80050440632323,41.80050440642323,42.3131290286102,42.3131290287102,42.82062543228253,42.820625432382535,43.32772735759989,43.32772735769989,43.83298838392737,43.832988384027374,44.335816793732526,44.33581679383253,44.83470041998795,44.834700420087955,45.32654918224637,45.32654918234637,45.81300674032016,45.813006740420164,46.29782063858156,46.297820638681564,46.780990877030575,46.78099087713058,47.263306412377155,47.26330641247716,47.74299209202391,47.74299209212391,48.208936775639124,48.208936775739126,48.669358762284716,48.66935876238472,49.12774261076295,49.12774261086295,49.58303637879389,49.583036378893894,50.034845588022584,50.034845588122586,50.483038745664025,50.48303874576403,50.93050869298801,50.930508693088015,51.3766637124621,51.3766637125621,51.821635296871264,51.821635296971266,52.266015163747966,52.26601516384797,52.70908010277476,52.709080102874765,53.14938369331675,53.14938369341675,53.587977877653856,53.58797787775386,54.0245996702161,54.0245996703161,54.45629048334118,54.45629048344118,54.88278733145912,54.88278733155912,55.309152686792075,55.30915268689208,55.72960086680044,55.72960086690044,56.14261970445682,56.14261970455682,56.55162801217097,56.551628012270974,56.95373294867311,56.95373294877311,57.346436151048394,57.346436151148396,57.73532606265894,57.73532606275894,58.12309828559707,58.12309828569707,58.50995005904026,58.50995005914026,58.88417852512433,58.88417852522433,59.256434599433526,59.25643459953353,59.625600593295445,59.62560059339545,59.99384613766242,59.993846137762425,60.359067347974616,60.35906734807462,60.71948907163464,60.71948907173464,61.07747817877233,61.07747817887233,61.43461258280758,61.43461258290758,61.78918287753551,61.78918287763551,62.139874135106204,62.139874135206206,62.48977643596696,62.48977643606696,62.8384295553703,62.8384295554703,63.185636254138736,63.18563625423874,63.53211974258972,63.53211974268972,63.87426396913602,63.87426396923602,64.21594797093483,64.21594797103484,64.55467338507137,64.55467338517137,64.89208387135798,64.89208387145798,65.22877114732715,65.22877114742715,65.56480095937135,65.56480095947136,65.89399314659605,65.89399314669605,66.21924055027101,66.21924055037101,66.54396198280601,66.54396198290601,66.86539609571622,66.86539609581622,67.18295117146923,67.18295117156923,67.49728467398994,67.49728467408994,67.81076347340822,67.81076347350822,68.12240137383662,68.12240137393663,68.42621545355806,68.42621545365806,68.72608474972978,68.72608474982978,69.02529658197655,69.02529658207655,69.32161557295352,69.32161557305352,69.617737324753,69.617737324853,69.91379333015998,69.91379333025998,70.20873164689453,70.20873164699454,70.5007771223593,70.5007771224593,70.79150766997415,70.79150767007415,71.082106724804,71.08210672490401,71.37132510539146,71.37132510549147,71.66014900762396,71.66014900772396,71.94719775725906,71.94719775735906,72.22977575220447,72.22977575230448,72.51176202961743,72.51176202971743,72.79157867607805,72.79157867617805,73.0706721122212,73.0706721123212,73.34575501842214,73.34575501852214,73.61544672043846,73.61544672053846,74.15390967497613,74.15390967507614,74.42182622439506,74.42182622449506,74.68961128102902,74.68961128112902,74.95542394588809,74.95542394598809,75.22090787878469,75.22090787888469,75.4848796446539,75.4848796447539,75.74799670742067,75.74799670752067,76.00644577632025,76.00644577642025,76.26325118540746,76.26325118550746,76.51874166664476,76.51874166674476,76.77009012515484,76.77009012525484,77.02124134448742,77.02124134458742,77.27193233907255,77.27193233917255,77.51986198517287,77.51986198527287,77.76693692817075,77.76693692827075,78.01079029793635,78.01079029803635,78.25444642852446,78.25444642862446,78.73327740506879,78.73327740516879,78.96753180153004,78.96753180163005,79.20119448045885,79.20119448055885,79.43380521710773,79.43380521720773,79.66319438052435,79.66319438062435,79.89133436248353,79.89133436258354,80.1183566557703,80.1183566558703,80.34498447070209,80.34498447080209,80.57108631449393,80.57108631459393,80.79639920157581,80.79639920167581,81.02098887834025,81.02098887844025,81.24459235921725,81.24459235931725,81.4676041225618,81.4676041226618,81.69028715394386,81.69028715404386,81.91211548222348,81.91211548232349,82.13374657132563,82.13374657142563,82.35110414491557,82.35110414501557,82.5670810442631,82.5670810443631,82.78259771886317,82.78259771896317,82.99804864707073,82.99804864717073,83.42664937974854,83.42664937984854,83.63848425636886,83.63848425646886,83.8499246546342,83.8499246547342,84.0605760961896,84.06057609628961,84.27063582021255,84.27063582031255,84.48030106588051,84.48030106598051,84.68674473831621,84.68674473841621,84.89147900454702,84.89147900464702,85.09581879242286,85.09581879252286,85.3000928339062,85.30009283400621,85.50042209183982,85.50042209193983,85.69963366110102,85.69963366120102,85.89792478086727,85.89792478096727,86.09608440784854,86.09608440794854,86.29371806368985,86.29371806378985,86.49089149478368,86.49089149488368,86.68786768670003,86.68786768680003,86.88379193633645,86.88379193643645,87.07820401894548,87.07820401904549,87.27182714484456,87.27182714494457,87.46367511814627,87.46367511824627,87.65144681511326,87.65144681521326,88.02258520075003,88.02258520085003,88.20522867910238,88.20522867920238,88.38714894713728,88.38714894723728,88.56755704814476,88.56755704824477,88.74402036560254,88.74402036570254,88.91870853046294,88.91870853056294,89.09300221696836,89.09300221706836,89.26473179416645,89.26473179426645,89.4357381610471,89.4357381611471,89.60588982482531,89.60588982492531,89.77426633600615,89.77426633610615,89.942379861617,89.942379861717,90.1096386841254,90.1096386842254,90.27591131074638,90.27591131084638,90.44198669818987,90.44198669828987,90.60576096189602,90.60576096199603,90.76828604414476,90.76828604424476,90.92995642329106,90.92995642339106,91.09057486015742,91.09057486025742,91.25099605784631,91.25099605794631,91.4097078493303,91.4097078494303,91.5671704593569,91.5671704594569,91.72443583020599,91.72443583030599,91.88124097630762,91.88124097640762,92.03627096981188,92.03627096991188,92.19116947053115,92.19116947063115,92.34501602897049,92.34501602907049,92.49820512348488,92.49820512358488,92.65119697882177,92.65119697892177,92.80392584858869,92.80392584868869,92.9565232255706,92.95652322567061,93.10905485616004,93.10905485626004,93.25882513826467,93.25882513836467,93.40820094201432,93.40820094211432,93.55731376019398,93.55731376029398,93.70353373710384,93.70353373720384,93.84962222122873,93.84962222132873,93.9941985383262,93.9941985384262,94.13759142035876,94.13759142045876,94.42069538644415,94.42069538654415,94.55922303543204,94.55922303553204,94.69689598131751,94.69689598141751,94.83364847770802,94.83364847780803,94.9698092565661,94.9698092566661,95.10583854263916,95.10583854273916,95.24107887200229,95.24107887210229,95.5109020668036,95.5109020669036,95.64443298996184,95.64443299006184,95.7776351811576,95.77763518125761,95.91077162596088,95.91077162606088,96.04272463569924,96.04272463579925,96.17224502891527,96.17224502901527,96.30031900149639,96.30031900159639,96.42812998850754,96.42812998860754,96.5556122435562,96.5556122436562,96.68289725942738,96.68289725952738,96.8095248113736,96.80952481147361,96.93411422515247,96.93411422525247,97.05850639975384,97.05850639985384,97.18237260321526,97.18237260331526,97.30505537161176,97.30505537171176,97.42668619772833,97.42668619782833,97.54752806713496,97.54752806723496,97.66777821900912,97.66777821910912,97.78737090695833,97.78737090705833,97.90663486294507,97.90663486304507,98.02557008696932,98.02557008706933,98.14411083263862,98.14411083273862,98.26173112881297,98.26173112891297,98.37790500435241,98.37790500445242,98.49361865514439,98.49361865524439,98.6090035739739,98.6090035740739,98.838458483783,98.838458483883,99.0663354801722,99.0663354802722,99.17481702778969,99.17481702788969,99.2826411114822,99.28264111158221,99.38783533947492,99.38783533957492,99.49243784993517,99.49243785003517,99.59565968615303,99.59565968625303,99.69769808730595,99.69769808740595,99.7995392492814,99.7995392493814,99.90052570815439,99.90052570825439,100.0,100.0000000001],[0.0,1e-10,1.1885576543701821,1.1885576544701821,2.114965226591499,2.114965226691499,2.9155486111247426,2.9155486112247426,3.680504710064561,3.680504710164561,4.436038716946614,4.436038717046614,5.142695621279009,5.142695621379009,5.8186325796314,5.8186325797314,6.487208528563661,6.487208528663661,7.150680844297966,7.150680844397966,7.802571838544601,7.802571838644601,8.443764832433981,8.443764832533981,9.038043659619072,9.038043659719072,9.631635459258286,9.631635459358286,10.221301387206761,10.221301387306761,10.808808085725333,10.808808085825333,11.376096545036619,11.376096545136619,11.933962912290138,11.933962912390138,12.488492288606531,12.488492288706531,13.037525444555895,13.037525444655895,13.585675279374843,13.585675279474843,14.132549205894303,14.132549205994303,14.677362049776127,14.677362049876127,15.219426783474436,15.219426783574436,15.759528581327377,15.759528581427377,16.297373002958146,16.297373003058144,16.834334103458495,16.834334103558493,17.355886157572712,17.35588615767271,17.876358596971976,17.876358597071974,18.389862614120183,18.38986261422018,18.883148392061102,18.8831483921611,19.374961968117997,19.374961968217995,19.86432187436818,19.864321874468178,20.35270031269568,20.35270031279568,20.827043759728802,20.8270437598288,21.299424270916553,21.29942427101655,21.771314048142965,21.771314048242964,22.24114274273174,22.241142742831737,22.708517767513804,22.708517767613802,23.17118174626699,23.171181746366987,23.62334401824745,23.62334401834745,24.074328528720695,24.074328528820693,24.522663075802694,24.522663075902692,24.966482870440345,24.966482870540343,25.407947142063556,25.407947142163554,25.834296807677436,25.834296807777434,26.260057592537702,26.2600575926377,26.683168414006726,26.683168414106724,27.106181088683478,27.106181088783476,27.527917855060743,27.52791785516074,27.945630602955003,27.945630603055,28.36255817651112,28.362558176611117,28.772615474608443,28.77261547470844,29.177961726676887,29.177961726776886,29.578302492339642,29.57830249243964,29.9767784689493,29.976778469049297,30.372408188583172,30.37240818868317,30.766663853125287,30.766663853225285,31.160428783706063,31.16042878380606,31.548795640712076,31.548795640812074,31.935984736210866,31.935984736310864,32.32013128114934,32.32013128124934,32.69711311025222,32.69711311035222,33.07340791180922,33.07340791190922,33.448819392235805,33.44881939233581,33.82099202851753,33.82099202861753,34.192968371214725,34.19296837131473,34.56465027353511,34.56465027363511,34.93358406567198,34.93358406577198,35.29505870159645,35.295058701696455,35.65358893375288,35.65358893385288,36.011333991571156,36.01133399167116,36.36623279241365,36.36623279251365,36.72103344646387,36.72103344656387,37.069650852601185,37.06965085270119,37.415912735724056,37.41591273582406,37.76109500413198,37.76109500423198,38.10490321744815,38.10490321754815,38.44645405454214,38.44645405464214,38.78761230446705,38.787612304567055,39.128377967222896,39.1283779673229,39.4667881069643,39.4667881070643,39.8030390172758,39.8030390173758,40.137719578911,40.137719579011005,40.47151681941579,40.47151681951579,40.79962154596901,40.79962154606901,41.123309666870156,41.12330966697016,41.44631076022542,41.446310760325424,41.76734891773532,41.76734891783532,42.087503754114806,42.08750375421481,42.40736415011748,42.40736415021748,42.72388755518303,42.723887555283035,43.04021466666405,43.04021466676405,43.355952897391454,43.355952897491456,43.67139668774205,43.671396687842055,43.98654603771585,43.98654603781585,44.3009102133515,44.3009102134515,44.61439106785673,44.61439106795673,44.92502566538618,44.92502566548618,45.23477694178521,45.234776941885215,45.544037484222905,45.54403748432291,45.851433237607495,45.8514332377075,46.15774937627714,46.15774937637714,46.46377107456997,46.46377107466997,46.769203892109196,46.7692038922092,47.070710837957684,47.070710838057686,47.37153075626029,47.37153075636029,47.67225252777064,47.67225252787064,47.96934286796704,47.969342868067045,48.26604062099438,48.26604062109438,48.56224764006038,48.56224764016038,48.85816021874957,48.85816021884957,49.153483916685154,49.153483916785156,49.44851317424393,49.44851317434393,49.74246281708775,49.74246281718775,50.03533284521662,50.035332845316624,50.32731955221507,50.327319552315075,50.61734332336816,50.61734332346816,50.90726894772898,50.90726894782898,51.1956242234135,51.195624223513505,51.48299803117535,51.48299803127535,52.05764749990676,52.05764750000676,52.918493014892796,52.9184930149928,53.204590914355144,53.204590914455146,53.489707345894814,53.489707345994816,53.774038603096336,53.77403860319634,54.05768283275198,54.05768283285198,54.341130768823085,54.34113076892309,54.62448055810192,54.624480558201924,54.905474824366316,54.90547482446632,55.181365457432754,55.181365457532756,55.4556857418229,55.4556857419229,55.729515292251705,55.72951529235171,56.002657815134626,56.00265781523463,56.27403369575672,56.27403369585672,56.54393737449479,56.54393737459479,56.813252172479245,56.81325217257925,57.07991700707246,57.07991700717246,57.3464836948734,57.3464836949734,57.60961524494495,57.60961524504495,57.87205976747062,57.87205976757062,58.13332652848907,58.13332652858907,58.39302294083122,58.393022940931225,58.65262120638111,58.652621206481115,58.91212132513873,58.91212132523873,59.17132700351954,59.171327003619545,59.42650866341735,59.42650866351735,59.67992368105433,59.679923681154335,59.932847964729966,59.93284796482997,60.43643915585907,60.43643915595907,60.686419035766654,60.686419035866656,61.18549547445141,61.18549547455141,61.43449388643631,61.43449388653631,61.682216390121724,61.682216390221726,61.92944815984579,61.92944815994579,62.17452070013996,62.17452070023996,62.41910250647278,62.419102506572784,62.66299728525973,62.66299728535973,62.90630318329306,62.906303183393064,63.14892205378052,63.14892205388052,63.3911483370989,63.3911483371989,63.631509831364184,63.631509831464186,63.87098800449905,63.87098800459905,64.10977915008804,64.10977915018805,64.34837400209248,64.34837400219249,64.58618367975879,64.58618367985879,64.82389521063283,64.82389521073283,65.29755163012007,65.29755163022007,65.53261319760286,65.53261319770286,65.76738032470885,65.76738032480885,66.00165671785349,66.0016567179535,66.23544237703679,66.23544237713679,66.46912988942782,66.46912988952782,66.93562159307947,66.93562159317948,67.16822949075555,67.16822949085555,67.40044480126257,67.40044480136257,67.63207123101596,67.63207123111596,67.86261804605441,67.86261804615441,68.09277227392377,68.09277227402377,68.32263206141634,68.32263206151634,68.55072520664807,68.55072520674807,69.00543929522752,69.00543929532752,69.23186394499069,69.2318639450907,69.45809230116932,69.45809230126932,69.683241042633,69.683241042733,69.90819349051215,69.90819349061215,70.13294964480676,70.13294964490676,70.35721506514002,70.35721506524003,70.58040087075834,70.58040087085834,71.02441695898052,71.02441695908053,71.46450717551198,71.46450717561198,71.68288378830914,71.68288378840914,71.90086781393724,71.90086781403724,72.11787037164264,72.11787037174264,72.33438219538671,72.33438219548671,72.55069772554624,72.55069772564624,72.76671881532896,72.76671881542896,73.19768138017945,73.19768138027945,73.62726988993819,73.62726989003819,73.84172063104461,73.84172063114461,74.05577878498197,74.05577878508197,74.26934620495798,74.26934620505799,74.48212845059585,74.48212845069585,74.69471440264918,74.69471440274918,74.90494483168807,74.90494483178807,75.11507711393469,75.11507711403469,75.32511124938904,75.32511124948904,75.53494909125885,75.53494909135885,75.74459063954413,75.74459063964413,75.95413404103714,75.95413404113714,76.16338300215334,76.16338300225334,76.37253381647727,76.37253381657727,76.5813901904244,76.5813901905244,76.78916694965659,76.78916694975659,76.99439189228978,76.99439189238979,77.1983409266235,77.1983409267235,77.40052331869637,77.40052331879637,77.60250941718472,77.60250941728472,77.80341590095811,77.80341590105812,78.00363535718562,78.00363535728562,78.20346222624406,78.20346222634406,78.40299465492569,78.4029946550257,78.60184005606145,78.60184005616145,78.79999842965132,78.79999842975133,78.99737162890305,78.99737162900306,79.19445038777798,79.19445038787798,79.39054767873021,79.39054767883022,79.58654682289018,79.58654682299019,79.781760792712,79.78176079281201,80.17101097084844,80.17101097094844,80.36416385803263,80.36416385813263,80.55692415804775,80.55692415814775,80.74821225617883,80.74821225627883,80.93910776714084,80.93910776724084,81.1299051313106,81.1299051314106,81.320211761519,81.320211761619,81.50983136418152,81.50983136428152,81.6986657925059,81.69866579260591,82.07554947481651,82.07554947491651,82.2612432057883,82.2612432058883,82.63194364018601,82.63194364028601,82.81685219681965,82.81685219691965,83.00166260666103,83.00166260676103,83.18627672291787,83.18627672301787,83.37079269238244,83.37079269248244,83.55452348750886,83.55452348760886,83.92129805021582,83.92129805031583,84.1042436710041,84.1042436711041,84.28699299820784,84.28699299830784,84.4693497382425,84.4693497383425,84.83298360359689,84.83298360369689,85.01367184816299,85.01367184826299,85.19416379914455,85.19416379924455,85.37455760333386,85.37455760343386,85.55465696714634,85.55465696724634,85.73465818416656,85.73465818426656,85.91426681401772,85.91426681411772,86.0934828566998,86.0934828567998,86.27093225712105,86.27093225722105,86.6253403240022,86.6253403241022,86.80151381612394,86.80151381622395,86.97749101466117,86.97749101476117,87.15307562602932,87.15307562612932,87.32846394381292,87.32846394391292,87.503655968012,87.503655968112,87.6787498454188,87.67874984551881,87.85345113565653,87.85345113575653,88.02697466438704,88.02697466448704,88.19892784444126,88.19892784454126,88.3707828777032,88.37078287780321,88.54253976417289,88.54253976427289,88.71351147630442,88.71351147640442,88.88438504164368,88.88438504174368,89.05516046019068,89.05516046029068,89.22505255760726,89.22505255770726,89.56385528451774,89.56385528461774,89.901480249921,89.901480250021,90.06960570507674,90.06960570517674,90.23753486664795,90.23753486674795,90.40526773463463,90.40526773473464,90.57280430903677,90.57280430913677,91.07511959186638,91.07511959196638,91.24226357909944,91.24226357919945,91.4088186855789,91.4088186856789,91.57458861772021,91.57458861782021,91.90544145445695,91.90544145455695,92.07022991867557,92.07022991877557,92.23413506176378,92.23413506186378,92.39794205805971,92.39794205815971,92.56135646718658,92.56135646728659,92.72447643593665,92.72447643603665,92.88690937714082,92.88690937724083,93.04914602476047,93.04914602486048,93.21118637879559,93.21118637889559,93.37283414566161,93.37283414576162,93.53438376573538,93.53438376583539,93.69563894543235,93.69563894553235,93.8563052443757,93.8563052444757,94.01628451577317,94.01628451587317,94.33604676498358,94.33604676508358,94.49563344921198,94.49563344931198,94.65443495910223,94.65443495920223,94.97135095133686,94.97135095143686,95.28669659489519,95.28669659499519,95.44373146252461,95.44373146262461,95.60027559619269,95.60027559629269,95.7567215830685,95.7567215831685,95.91297127635977,95.91297127645977,96.06892652927425,96.06892652937425,96.22478363539645,96.22478363549645,96.3798555671805,96.3798555672805,96.53453491179548,96.53453491189548,96.84379545423317,96.84379545433318,96.99778777130227,96.99778777140227,97.15109306082549,97.15109306092549,97.30430020355645,97.30430020365645,97.45711475911833,97.45711475921833,97.60943858071887,97.60943858081887,97.76107537477353,97.76107537487353,98.06425081609058,98.06425081619058,98.21559316976844,98.21559316986844,98.36664108306948,98.36664108316948,98.51680567524012,98.51680567534012,98.66677397382621,98.66677397392621,98.81605524486643,98.81605524496644,98.96514022232212,98.96514022242212,99.11353817223191,99.11353817233191,99.26164168176491,99.26164168186492,99.40964704450565,99.40964704460565,99.55745611366184,99.55745611376184,99.70506888923349,99.70506888933349,99.85258351801288,99.85258351811288,100.0,100.0000000001],[0.0,1e-10,3.9747539467783652,3.9747539468783653,7.751873947444781,7.751873947544781,10.970870686172288,10.970870686272288,13.752323778133508,13.752323778233508,16.38168133938476,16.381681339484757,18.893097181477525,18.893097181577524,21.249154832000734,21.249154832100732,23.48289740944728,23.482897409547277,25.18295197224378,25.18295197234378,26.795747711625207,26.795747711725205,28.405766718360173,28.40576671846017,30.011065279596153,30.01106527969615,31.614420127979606,31.614420128079605,33.03263632716019,33.03263632726019,34.389625571486285,34.389625571586286,35.73509137532956,35.73509137542956,37.07944648611426,37.07944648621426,38.380137476033326,38.38013747613333,39.679370681313,39.679370681413005,40.908421968953355,40.90842196905336,42.05479604204528,42.054796042145284,43.170140127813006,43.17014012791301,44.271739386980734,44.271739387080736,45.3723667897222,45.3723667898222,46.46056831387075,46.460568313970754,47.54835332812233,47.54835332822233,48.600596164499194,48.600596164599196,49.55246011570645,49.552460115806454,50.49141226010765,50.49141226020765,51.42009049371695,51.42009049381695,52.32822090574242,52.32822090584242,53.17935888019926,53.17935888029926,54.01626609984297,54.016266099942975,54.85039658684023,54.850396586940235,55.6689773710173,55.6689773711173,56.46416418264792,56.46416418274792,57.25254799929471,57.252547999394714,58.03419823927383,58.03419823937383,58.804255620453965,58.80425562055397,59.55911039039473,59.55911039049473,60.30285822974964,60.30285822984964,61.04264922508334,61.04264922518334,61.77883046797664,61.77883046807664,62.476970473613406,62.47697047371341,63.17275025650068,63.17275025660068,63.86498970526371,63.86498970536371,64.54258188931666,64.54258188941667,65.19948741515346,65.19948741525346,65.84847925294785,65.84847925304786,66.46796830637358,66.46796830647358,67.08606899347606,67.08606899357606,67.69445111631595,67.69445111641595,68.28395145715987,68.28395145725987,68.87011971882805,68.87011971892805,69.45351124784976,69.45351124794976,70.02433806164625,70.02433806174625,70.58829246214272,70.58829246224272,71.1477346720887,71.1477346721887,71.70502491423368,71.70502491433368,72.26099620837157,72.26099620847157,72.81634273766402,72.81634273776402,73.36537220018576,73.36537220028576,73.90815401425297,73.90815401435297,74.44572945460806,74.44572945470806,74.96088277884296,74.96088277894296,75.46499859080818,75.46499859090818,75.96536581370067,75.96536581380067,76.46496943511539,76.4649694352154,76.96158806893517,76.96158806903517,77.95461708162622,77.95461708172623,78.43277044334702,78.43277044344703,78.89113958496178,78.89113958506178,79.34909221667955,79.34909221677955,79.80517055386098,79.80517055396098,80.25659786385957,80.25659786395957,80.70663680753495,80.70663680763495,81.14938682801335,81.14938682811335,81.57839202189176,81.57839202199176,82.00239909700655,82.00239909710655,82.41557691480013,82.41557691490013,82.82368719551391,82.82368719561391,83.2281877237873,83.2281877238873,83.61526425470413,83.61526425480413,83.97596182547957,83.97596182557957,84.32923163642573,84.32923163652573,84.68007180630623,84.68007180640623,85.01265495903625,85.01265495913626,85.34239196080364,85.34239196090364,85.67178187099023,85.67178187109023,86.00075527127984,86.00075527137984,86.32660484734218,86.32660484744218,86.64579026505301,86.64579026515301,86.96282371496284,86.96282371506284,87.26833372438985,87.26833372448985,87.57162234769969,87.57162234779969,87.87109296362064,87.87109296372064,88.17021648796079,88.17021648806079,88.46087097772921,88.46087097782922,88.7496511729613,88.7496511730613,89.03600172712771,89.03600172722771,89.31700707094969,89.31700707104969,89.59405557075046,89.59405557085046,89.86589769683911,89.86589769693911,90.13600436502372,90.13600436512372,90.40423673867197,90.40423673877197,90.64574306059802,90.64574306069802,90.88391730334833,90.88391730344833,91.11785702881276,91.11785702891277,91.35075547953478,91.35075547963478,91.58053010602954,91.58053010612954,91.80370999248893,91.80370999258894,92.02487674777966,92.02487674787966,92.24569641148956,92.24569641158956,92.46006017179644,92.46006017189644,92.6733826573609,92.6733826574609,93.09933344532821,93.09933344542821,93.30994861656238,93.30994861666238,93.5098039487915,93.5098039488915,93.70924277112364,93.70924277122364,93.9077791553457,93.9077791554457,94.09888777973846,94.09888777983846,94.28944105760193,94.28944105770194,94.66659076930766,94.66659076940766,94.85297894820144,94.85297894830144,95.03818701572047,95.03818701582047,95.22228439018092,95.22228439028092,95.40464630673732,95.40464630683732,95.58568927528667,95.58568927538667,95.76506620424813,95.76506620434813,95.93472456894696,95.93472456904696,96.10382758711651,96.10382758721651,96.27147282064668,96.27147282074668,96.43467528194249,96.43467528204249,96.59440682743023,96.59440682753024,96.73935227157556,96.73935227167556,96.88207632960372,96.88207632970372,97.02230132825007,97.02230132835007,97.16141563383782,97.16141563393782,97.29712844193367,97.29712844203367,97.43131404707395,97.43131404717396,97.56195931808999,97.56195931818999,97.69024436635655,97.69024436645655,97.81179583795543,97.81179583805543,97.93306963628967,97.93306963638967,98.17339584684098,98.17339584694098,98.29085163778633,98.29085163788633,98.40733557230543,98.40733557240543,98.5225699771336,98.5225699772336,98.63468055773453,98.63468055783453,98.74568044527685,98.74568044537685,98.85619440460604,98.85619440470605,98.96122431695848,98.96122431705848,99.06347749666445,99.06347749676445,99.16253743382698,99.16253743392699,99.2565992522259,99.2565992523259,99.35052223399248,99.35052223409248,99.44111313658331,99.44111313668331,99.53073218274788,99.53073218284788,99.62000413733165,99.62000413743165,99.70580517610733,99.70580517620733,99.78188765062039,99.78188765072039,99.85755361523648,99.85755361533649,99.93051226552228,99.93051226562228,100.0,100.0000000001],[0.0,1e-10,1.0856349216018324,1.0856349217018324,2.0835516136499312,2.0835516137499313,2.893726928278164,2.893726928378164,3.6443269453344866,3.6443269454344867,4.381525566208989,4.381525566308989,5.097525614941339,5.097525615041339,5.7973221573811236,5.797322157481124,6.451188460179579,6.451188460279579,7.0934808299119165,7.0934808300119165,7.73345841303103,7.73345841313103,8.362958540953448,8.362958541053448,8.986732617779998,8.986732617879998,9.602709518646215,9.602709518746215,10.192980105018213,10.192980105118213,10.764854229358804,10.764854229458804,11.328931177739063,11.328931177839063,11.89288629524494,11.89288629534494,12.43807945809627,12.43807945819627,12.966581791157514,12.966581791257514,13.485215823393965,13.485215823493965,14.00177873076595,14.00177873086595,14.51322474141397,14.51322474151397,15.023086950695046,15.023086950795046,15.5324618364786,15.5324618365786,16.040983906141495,16.040983906241493,16.54926231405563,16.549262314155627,17.05705339847224,17.05705339857224,17.56374800501943,17.56374800511943,18.069955288069103,18.0699552881691,18.570680181771664,18.570680181871662,19.06592268612712,19.06592268622712,19.55202787490406,19.552027875004057,20.03204151996199,20.032041520061988,20.510471363652975,20.510471363752973,20.983053325373717,20.983053325473715,21.45210219173743,21.45210219183743,21.916521484874696,21.916521484974695,22.373387263800392,22.37338726390039,22.8258671312484,22.8258671313484,23.275544888585664,23.275544888685662,23.72510081504855,23.725100815148547,24.174169418013914,24.174169418113912,24.621654219612335,24.621654219712333,25.05866156601406,25.058661566114058,25.49262314055628,25.492623140656278,25.92634105334974,25.92634105344974,26.35445474592171,26.35445474602171,26.777086049146575,26.777086049246574,27.199108197999536,27.199108198099534,27.6205211924806,27.620521192580597,28.04059404734348,28.040594047443477,28.457499299472474,28.457499299572472,28.873186242857663,28.87318624295766,29.282659811649467,29.282659811749465,29.69128056432061,29.69128056442061,30.099535824368612,30.09953582446861,30.503283342064545,30.503283342164544,30.89996466904643,30.899964669146428,31.295427687284512,31.29542768738451,31.690281551150694,31.690281551250692,32.08452626064497,32.08452626074497,32.47085196330454,32.47085196340454,32.85498471022527,32.85498471032527,33.62215372619729,33.62215372629729,34.005068164374215,34.00506816447422,34.38639880118419,34.386398801284194,34.7676076071198,34.7676076072198,35.14662345731655,35.14662345741655,35.52442099876951,35.52442099886951,35.89880727573982,35.89880727583982,36.27112242784566,36.27112242794566,36.63771152885564,36.63771152895564,37.00271682849868,37.00271682859868,37.36516367977973,37.36516367987973,37.72700137668888,37.727001376788884,38.08116372851208,38.08116372861208,38.43313312459644,38.43313312469644,38.78461519718327,38.78461519728327,39.135731777146965,39.13573177724697,39.48648286448752,39.48648286458752,39.83638113570741,39.836381135807414,40.18372095856532,40.18372095866532,40.530207965302566,40.53020796540257,40.87584215591915,40.875842156019154,41.22135451566136,41.22135451576136,41.564795750539105,41.56479575063911,41.907506000170564,41.907506000270565,42.24936343368137,42.24936343378137,42.5909772054434,42.5909772055434,43.27371742546996,43.27371742556996,43.61313824149316,43.61313824159316,43.951462579646936,43.95146257974694,44.289055932554426,44.28905593265443,44.62591830021564,44.62591830031564,44.96010038864049,44.96010038874049,45.2926986756984,45.2926986757984,45.62505330100754,45.62505330110754,45.95692060281917,45.95692060291917,46.28866607375641,46.28866607385641,46.61919323594985,46.61919323604985,46.94813659677636,46.94813659687636,47.275861648859056,47.27586164895906,47.60175923782605,47.60175923792605,47.924854716682304,47.924854716782306,48.247462872041034,48.247462872141035,48.5673907481634,48.5673907482634,48.88305454368246,48.883054543782464,49.19689087608582,49.19689087618582,49.50841242187595,49.508412421975954,49.819081151545426,49.81908115164543,50.12646044760663,50.126460447706634,50.43359608191908,50.43359608201908,50.740609885357145,50.74060988545715,51.04469974781009,51.044699747910094,51.34781496326799,51.347814963367995,51.65019919347961,51.65019919357961,51.95173060757057,51.95173060767057,52.25228737466649,52.25228737476649,52.55186949476737,52.55186949486737,52.849380490003774,52.849380490103776,53.145429514747626,53.14542951484763,53.438676429380735,53.438676429480736,53.73143602051632,53.73143602061632,54.02334279553124,54.023342795631244,54.31403126180236,54.314031261902365,54.603014095832165,54.60301409593217,54.890534959369404,54.890534959469406,55.17756849940912,55.17756849950912,55.46411471595132,55.46411471605132,55.750417270744755,55.75041727084476,56.03647616378943,56.03647616388943,56.32119491721592,56.32119491731592,56.60542634714489,56.605426347244894,56.88917045357635,56.88917045367635,57.172670898259035,57.17267089835904,57.45556218856983,57.45556218866983,57.73820981713186,57.73820981723186,58.01939547520133,58.01939547530133,58.30021564064765,58.30021564074765,58.58079214434522,58.58079214444522,58.86051583192213,58.86051583202213,59.13999585775027,59.13999585785027,59.418379405709,59.418379405809,59.69651929191896,59.69651929201896,59.97453734725454,59.97453734735454,60.251337093846324,60.251337093946326,60.804327432657985,60.80432743275799,61.35427199961014,61.35427199971014,61.62680766559862,61.62680766569862,61.89897783896395,61.89897783906395,62.170417027083005,62.17041702718301,62.43820128897065,62.438201289070655,62.70257428637565,62.70257428647565,63.23034563419062,63.23034563429062,63.49337849197744,63.49337849207744,63.75592402626673,63.755924026366735,64.01834772968165,64.01834772978165,64.28052777134782,64.28052777144782,64.80330405331318,64.80330405341319,65.06316930836613,65.06316930846613,65.3227909016703,65.3227909017703,65.5816815097282,65.5816815098282,65.8404502869117,65.8404502870117,66.09909723322085,66.09909723332085,66.35725685603245,66.35725685613245,66.61419817010027,66.61419817020027,66.87089582241931,66.87089582251932,67.1261315042458,67.1261315043458,67.38112352432353,67.38112352442353,67.63538455915499,67.63538455925499,67.88867094699138,67.88867094709138,68.14183550395342,68.14183550405342,68.39475639916668,68.39475639926668,68.64718997088242,68.64718997098242,68.89950171172379,68.89950171182379,69.15059514382135,69.15059514392135,69.40132308329576,69.40132308339577,69.65168553014705,69.65168553024705,69.90180431524956,69.90180431534957,70.40179822370585,70.40179822380586,70.65021137656704,70.65021137666704,70.8982590368051,70.8982590369051,71.39289238678866,71.39289238688866,71.63935624565977,71.63935624575977,72.13216213252763,72.13216213262763,72.62460252677234,72.62460252687234,73.11655559751952,73.11655559761952,73.36216664026998,73.36216664036998,73.6072903595229,73.60729035962291,73.85217041702708,73.85217041712708,74.34022489979411,74.34022489989411,74.58279017068506,74.58279017078506,75.06694606547191,75.06694606557191,75.30707471887526,75.30707471897526,75.5453759091629,75.5453759092629,75.78355526857617,75.78355526867617,76.02063815012,76.02063815022001,76.25650272292005,76.25650272302005,76.49212363397132,76.49212363407132,76.7259170819069,76.7259170820069,77.19216383815987,77.19216383825987,77.42352066860784,77.42352066870784,77.88538151338312,77.88538151348313,78.11491088071539,78.11491088081539,78.34407475542451,78.34407475552452,78.57287313751051,78.57287313761051,78.80130602697335,78.80130602707335,79.02900793118992,79.02900793128993,79.25634434278335,79.25634434288335,79.4823406147586,79.4823406148586,79.7079713941107,79.7079713942107,79.93311484996528,79.93311485006528,80.15752732057358,80.15752732067358,80.60513395304638,80.60513395314638,80.82784079141337,80.82784079151337,81.04981664453406,81.04981664463406,81.27081785065971,81.27081785075971,81.49145356416223,81.49145356426223,81.71160195416722,81.71160195426722,81.93162851329784,81.93162851339784,82.37095064631279,82.3709506464128,82.59012438932274,82.59012438942274,83.02822821359389,83.0282282136939,83.24679280223194,83.24679280233194,83.46523555999562,83.46523556009562,83.68355648688491,83.68355648698491,83.90151192115106,83.90151192125106,84.11800538492464,84.11800538502465,84.33437701782385,84.33437701792386,84.55050498897431,84.55050498907431,84.76626746750162,84.76626746760162,84.98117712990826,84.98117713000826,85.19499031444549,85.19499031454549,85.4081943446108,85.40819434471081,85.62066738952986,85.62066738962986,85.83155663308196,85.83155663318196,86.04232404575967,86.04232404585967,86.2518731496936,86.2518731497936,86.46130042275314,86.46130042285314,86.67048403406392,86.67048403416392,86.8795458145003,86.8795458146003,87.0879984405648,87.0879984406648,87.29632923575492,87.29632923585493,87.50453820007066,87.50453820017066,87.71238167176325,87.71238167186326,87.92010331258147,87.92010331268148,88.12745946077655,88.12745946087655,88.33469377809725,88.33469377819725,88.54144077192042,88.54144077202042,88.7475786113717,88.7475786114717,88.95359461994859,88.95359462004859,89.15863598153044,89.15863598163044,89.36343368136353,89.36343368146353,89.56798771944786,89.56798771954786,89.77229809578343,89.77229809588343,89.97563382512396,89.97563382522397,90.17860406184136,90.17860406194136,90.38145246768435,90.38145246778436,90.58405721177861,90.58405721187862,90.7864182941241,90.7864182942241,90.98780472947455,90.98780472957455,91.38996844580353,91.38996844590353,91.58952741803827,91.58952741813827,91.78884272852426,91.78884272862426,91.98803620813587,91.98803620823587,92.18662053337557,92.18662053347558,92.38508302774089,92.38508302784089,92.58330186035745,92.58330186045745,92.78139886209964,92.78139886219964,92.97925220209305,92.97925220219305,93.17661821858896,93.17661821868896,93.571106589832,93.571106589932,93.76798528283038,93.76798528293038,93.96413299058247,93.96413299068247,94.15918422046515,94.15918422056515,94.35350446510155,94.35350446520155,94.54770287886356,94.54770287896356,94.74129213825367,94.74129213835367,94.93451590502065,94.93451590512065,95.1272523482901,95.1272523483901,95.31986696068518,95.31986696078518,95.5116287569596,95.5116287570596,95.70253773711335,95.70253773721335,95.89320305551833,95.89320305561833,96.08350288130018,96.08350288140018,96.27368087620765,96.27368087630765,96.46361520936635,96.46361520946635,96.84324021393502,96.84324021403502,97.03232173097307,97.03232173107307,97.22103775538797,97.22103775548797,97.40902279455659,97.4090227946566,97.59676417197646,97.59676417207646,97.7840182258988,97.7840182259988,97.9710286180724,97.9710286181724,98.1579171793716,98.1579171794716,98.34456207892204,98.34456207902204,98.53071965497496,98.53071965507496,98.71578075315847,98.71578075325847,98.90072002046759,98.90072002056759,99.08480647165605,99.08480647175605,99.26852743022137,99.26852743032137,99.45151740354041,99.45151740364041,99.81725368842972,99.81725368852972],[0.0,1e-10,12.736765281376131,12.736765281476131,24.363508082369037,24.363508082469036,35.36425647632133,35.36425647642133,45.03467749076648,45.03467749086648,53.58222193022797,53.582221930327975,61.13228862869662,61.13228862879662,67.72943844745389,67.72943844755389,73.43737056640853,73.43737056650853,78.6891251503215,78.6891251504215,82.98510638905631,82.98510638915631,86.28375271007161,86.28375271017161,89.43393423845203,89.43393423855203,91.19615919653339,91.19615919663339,92.95595615896802,92.95595615906802,94.6496973574838,94.6496973575838,96.22303853657561,96.22303853667562,97.206805243328,97.20680524342801,98.17821773693667,98.17821773703668,98.94596424276529,98.94596424286529,99.57645758291605,99.57645758301605,100.0,100.0000000001],[0.0,1e-10,0.9223519792972678,0.9223519793972678,1.8131315619941344,1.8131315620941344,2.6785437277692914,2.6785437278692914,3.5290821922558204,3.5290821923558204,4.322863342622553,4.322863342722553,5.096295809631224,5.096295809731224,5.84089337107421,5.84089337117421,6.558207271871185,6.558207271971185,7.2680386971732664,7.2680386972732665,7.97422013442906,7.97422013452906,8.67063785366103,8.67063785376103,9.362493087835137,9.362493087935137,10.018578439155611,10.018578439255611,10.640171403438654,10.640171403538654,11.26030437250318,11.26030437260318,11.846948701243003,11.846948701343003,12.429760542534224,12.429760542634224,13.01038239099767,13.01038239109767,13.5743967938505,13.5743967939505,14.125362489437848,14.125362489537848,14.655888251965974,14.655888252065974,15.18349402405707,15.18349402415707,15.70735855840072,15.70735855850072,16.225930610077253,16.22593061017725,16.730632707177882,16.73063270727788,17.229494823404455,17.229494823504453,17.725984447400936,17.725984447500934,18.208695366522676,18.208695366622674,18.689125043115485,18.689125043215483,19.168094724489777,19.168094724589775,19.64250192080621,19.64250192090621,20.11599662011107,20.115996620211067,20.588578822404358,20.588578822504356,21.051944804880765,21.051944804980764,21.50609456754029,21.50609456764029,21.955681845141957,21.955681845241955,22.40444787543321,22.404447875533208,22.84846892126428,22.84846892136428,23.291577470083787,23.291577470183785,23.729211036833853,23.72921103693385,24.16328586523879,24.16328586533879,24.593163207390496,24.593163207490495,25.01866056388665,25.01866056398665,25.437679191600647,25.437679191700646,25.855329073797282,25.85532907389728,26.68853009506394,26.688530095163937,27.097511255650637,27.097511255750636,27.503572425800307,27.503572425900305,27.909268597145346,27.909268597245344,28.312683525961454,28.312683526061452,28.715550956570617,28.715550956670615,29.115407147041594,29.115407147141593,29.514442090202156,29.514442090302154,29.911560789638415,29.911560789738413,30.30575949863764,30.30575949873764,30.69667321839521,30.696673218495206,31.08658319144005,31.086583191540047,31.47375567345017,31.47375567355017,31.859376910540618,31.859376910640616,32.244085650619496,32.2440856507195,32.6272431457787,32.6272431458787,33.00793689900666,33.00793689910666,33.38689690791263,33.38689690801263,33.764853170105866,33.76485317020587,34.142353183793325,34.14235318389333,34.51884945076805,34.51884945086805,34.89415947162773,34.89415947172773,35.26664075175154,35.26664075185154,35.63848328396725,35.63848328406725,35.99919335264177,35.99919335274177,36.359173423707034,36.359173423807036,36.717784749254946,36.71778474935495,37.075939826297066,37.07593982639707,37.43336490572993,37.43336490582993,37.79042498635817,37.79042498645817,38.14575132266442,38.14575132276442,38.85293650663294,38.852936506732945,39.200232869237354,39.200232869337356,39.89418684653808,39.89418684663808,40.585677081907555,40.58567708200756,40.92822846005179,40.92822846015179,41.27059733879371,41.270597338893715,41.60958997859282,41.609589978692824,41.94849136869077,41.94849136879077,42.286389012075986,42.28638901217599,42.6223704117369,42.622370411836904,42.95762181378856,42.957621813888565,43.28721573436847,43.287215734468475,43.6120646704882,43.612064670588204,43.93600110959637,43.93600110969637,44.259390050497586,44.25939005059759,44.58068024827219,44.58068024837219,44.9008754496329,44.9008754497329,45.218880658165844,45.218880658265846,45.532414631342085,45.53241463144209,45.84503610750675,45.84503610760675,46.15647133755637,46.15647133765637,46.465351575973585,46.46535157607359,46.77258931976998,46.77258931986998,47.07736332163512,47.07736332173512,47.38131607618985,47.38131607628985,47.677877604950844,47.677877605050845,47.97398288520605,47.97398288530605,48.263153188173305,48.26315318827331,48.83611006173955,48.83611006183955,49.11734164070613,49.11734164080613,49.39738697355766,49.39738697365766,49.67642855969647,49.67642855979647,49.95300640390403,49.95300640400403,50.2284892516977,50.228489251797704,50.50378960008906,50.50378960018906,50.77808620176769,50.778086201867694,51.0477290686873,51.047729068787305,51.31700693680228,51.31700693690228,51.586193555216106,51.58619355531611,51.85291643169869,51.85291643179869,52.119274309376635,52.11927430947664,52.38508468884764,52.38508468894764,52.65071256891634,52.65071256901634,52.91506295316883,52.91506295326883,53.17877458951322,53.17877458961322,53.44148247914488,53.44148247924488,53.70409911907539,53.70409911917539,53.96635076020126,53.96635076030126,54.227233655809776,54.22723365590978,54.48683905560209,54.48683905570209,54.746353205693254,54.746353205793255,55.00550235697978,55.005502357079784,55.264469008864,55.264469008964,55.52261441343779,55.522614413537795,55.78057731860928,55.780577318709284,56.03753647706804,56.03753647716804,56.29431313612448,56.29431313622448,56.55090729577861,56.55090729587861,56.80622395961653,56.80622395971653,57.06053687674173,57.06053687684173,57.314302295659985,57.31430229575999,57.82155938439302,57.82155938449302,58.07495980450664,58.07495980460664,58.32717397850522,58.327173978605224,58.577380659078344,58.577380659178345,58.82749608995031,58.82749609005031,59.5772036346581,59.5772036347581,59.8253115721046,59.825311572204605,60.07314576044764,60.07314576054764,60.32043245058372,60.320432450683725,60.566624144305926,60.56662414440593,60.8118120913154,60.811812091415405,61.301731736828565,61.301731736928566,61.54582468742415,61.54582468752415,61.78937013981279,61.78937013991279,62.029721852660934,62.029721852760936,62.2697998164056,62.2697998165056,62.50860028433407,62.508600284434074,62.74584950734286,62.74584950744286,63.22016545395814,63.22016545405814,63.45695842846115,63.45695842856115,63.6923826574468,63.6923826575468,63.927624387030136,63.92762438713014,64.16277486691232,64.16277486701232,64.39774284739218,64.39774284749218,64.6323458290674,64.6323458291674,64.8664013125357,64.8664013126357,65.10036554630284,65.10036554640284,65.33423853036881,65.33423853046881,65.5670165180209,65.56701651812091,65.79933825716721,65.79933825726721,66.03102124840541,66.03102124850541,66.26170049293088,66.26170049303089,66.4903722440309,66.4903722441309,66.71877024602745,66.71877024612745,66.94689449892051,66.94689449902052,67.17483625241127,67.17483625251127,67.40268675620088,67.40268675630088,67.62825601746154,67.62825601756154,67.85373402902106,67.85373402912106,68.07875579207479,68.07875579217479,68.30222631020884,68.30222631030884,68.52451058222785,68.52451058232785,68.74597360693643,68.74597360703643,68.9670716328404,68.9670716329404,69.18743966113512,69.18743966123512,69.40716894152172,69.40716894162172,69.626715722506,69.62671572260601,69.84525875677757,69.84525875687757,70.06371054134797,70.06371054144797,70.28143232830912,70.28143232840912,70.49906286556912,70.49906286566912,70.71550715671407,70.71550715681407,70.93186019815785,70.93186019825785,71.14803074019933,71.14803074029933,71.36283253672345,71.36283253682345,71.57580933922442,71.57580933932442,71.78759989561034,71.78759989571034,71.99920795259395,71.99920795269395,72.21035976107179,72.21035976117179,72.42041657313573,72.42041657323573,72.62910463968231,72.62910463978231,72.83770145652772,72.83770145662773,73.04465577875233,73.04465577885233,73.25060635426419,73.2506063543642,73.45637443037374,73.45637443047374,73.66168625797751,73.66168625807751,73.86690683588012,73.86690683598012,74.0717624149781,74.0717624150781,74.27524924855871,74.27524924865871,74.47800608453008,74.47800608463008,74.68048917139797,74.68048917149797,74.88242476005891,74.88242476015891,75.08408659961638,75.08408659971639,75.28556593977154,75.28556593987155,75.48631528231745,75.48631528241745,75.68642587695525,75.68642587705526,75.88635397219075,75.88635397229075,76.08600831832275,76.08600831842276,76.28529766565015,76.28529766575015,76.4835832662648,76.4835832663648,76.68159511777598,76.68159511787599,76.87842072317213,76.87842072327213,77.07506382916596,77.07506382926596,77.27106818725169,77.27106818735169,77.4668900459351,77.4668900460351,77.66243815551503,77.66243815561504,77.85780376569267,77.85780376579267,78.05216562915757,78.05216562925757,78.24616249381783,78.24616249391784,78.43933811116769,78.43933811126769,78.63160123150597,78.63160123160597,78.82304310453384,78.82304310463384,79.20483185417568,79.20483185427568,79.3950874810885,79.3950874811885,79.58525185830017,79.58525185840017,79.77495998700604,79.77495998710604,79.96430311690729,79.96430311700729,80.15355499710738,80.15355499720738,80.34262437790517,80.34262437800517,80.53105501079484,80.53105501089485,80.7191206448799,80.7191206449799,80.90663878075799,80.90663878085799,81.09205817350949,81.09205817360949,81.2759263213413,81.2759263214413,81.45952072006965,81.45952072016965,81.64293261939567,81.64293261949567,81.82625326902054,81.82625326912054,82.00948266894426,82.00948266904426,82.19198207125872,82.19198207135872,82.37411647476854,82.37411647486854,82.55588587947375,82.55588587957375,82.73592153985696,82.73592153995696,82.9156834511367,82.9156834512367,83.09526286301413,83.09526286311413,83.2747510251904,83.2747510252904,83.45405668796435,83.45405668806436,83.63327110103714,83.63327110113714,83.81175551650068,83.81175551660068,83.98950993435497,83.98950993445497,84.16708185280693,84.16708185290693,84.34456252155775,84.34456252165775,84.52176944120508,84.52176944130508,84.8754532828905,84.8754532829905,85.05174770552627,85.05174770562627,85.22740338025393,85.22740338035393,85.40260280647581,85.40260280657581,85.5771634847896,85.5771634848896,85.7516329134022,85.7516329135022,85.92582859291136,85.92582859301136,86.0998417730182,86.0998417731182,86.27339870461924,86.27339870471924,86.44549564100177,86.44549564110177,86.61713632887852,86.61713632897852,86.78822951854832,86.78822951864832,86.95904895911465,86.95904895921466,87.12859090386479,87.12859090396479,87.29749410070681,87.29749410080682,87.46603229874422,87.46603229884423,87.6343879973793,87.63438799747931,87.80246994691092,87.80246994701092,87.97036939704023,87.97036939714023,88.13753884956027,88.13753884966027,88.3038870547699,88.3038870548699,88.46950526237026,88.46950526247026,88.63494097056832,88.63494097066832,88.80028542906523,88.80028542916523,89.13088309635786,89.13088309645786,89.29595380575128,89.29595380585128,89.46093326544356,89.46093326554356,89.62545647663003,89.62545647673004,89.78988843811537,89.78988843821537,89.95413790019838,89.95413790029838,90.11774861437328,90.11774861447329,90.28126807884705,90.28126807894705,90.44387504630922,90.44387504640922,90.7686327327278,90.7686327328278,90.93050970258072,90.93050970268072,91.09193042392786,91.09193042402786,91.25325989557385,91.25325989567385,91.4137681199094,91.41376812000941,91.57309009812992,91.57309009822993,91.73168207874119,91.73168207884119,91.8901828096513,91.8901828097513,92.04840979145793,92.04840979155793,92.20608927505762,92.20608927515762,92.36367750895616,92.36367750905616,92.52117449315354,92.52117449325354,92.6784889779486,92.6784889780486,92.83534721423787,92.83534721433787,92.99138420321674,92.99138420331674,93.14632619578171,93.14632619588171,93.30099443924321,93.30099443934321,93.45538893360124,93.45538893370124,93.60923592975233,93.60923592985233,93.76271792709879,93.76271792719879,93.9161086747441,93.9161086748441,94.22234267182775,94.22234267192775,94.52757292219869,94.52757292229869,94.67977742372894,94.67977742382894,94.83134317735109,94.83134317745109,94.98272643157094,94.98272643167094,95.1338359366873,95.1338359367873,95.43587244751774,95.43587244761774,95.58643445442716,95.58643445452716,95.73581021522155,95.73581021532155,95.88409097960204,95.88409097970204,96.03228049428138,96.03228049438138,96.1801050101561,96.1801050102561,96.32701702901923,96.32701702911923,96.47374654848005,96.47374654858005,96.62029356853856,96.62029356863856,96.76611059098781,96.76611059108781,96.9116538643336,96.9116538644336,97.05637589036895,97.05637589046896,97.2000941696916,97.2000941697916,97.34362994961191,97.34362994971191,97.48670948102645,97.48670948112645,97.62960651303867,97.62960651313867,97.77177354744163,97.77177354754163,97.91357558303997,97.91357558313997,98.05492137013252,98.05492137023252,98.1959934081216,98.1959934082216,98.33670044730603,98.33670044740603,98.47704248768585,98.47704248778585,98.61720202866336,98.61720202876336,98.75663157203161,98.75663157213161,98.8955136171929,98.8955136172929,99.03430441265304,99.03430441275304,99.17300395841204,99.17300395851204,99.44994680142422,99.44994680152422,99.5878250998728,99.5878250999728,99.72533839951674,99.72533839961675,99.86276044945953,99.86276044955953,100.0,100.0000000001],[0.0,1e-10,1.0329492537063194,1.0329492538063194,1.9118195650078171,1.9118195651078171,2.694453409562451,2.694453409662451,3.457051961823966,3.457051961923966,4.216884134814883,4.216884134914883,4.9329572175254315,4.9329572176254315,5.6346115961589245,5.6346115962589245,6.3298949195025545,6.3298949196025545,7.017382083083591,7.017382083183591,7.6857560807950405,7.6857560808950405,8.348094341916095,8.348094342016095,8.975559458292642,8.975559458392642,9.595228414906593,9.595228415006593,10.214478223146212,10.214478223246212,10.831129311464965,10.831129311564965,11.420284266427473,11.420284266527473,12.000888594553587,12.000888594653587,12.57755292796097,12.57755292806097,13.15128322274802,13.15128322284802,13.72308543501314,13.72308543511314,14.293714031830127,14.293714031930127,14.85679795790912,14.85679795800912,15.413007850649052,15.413007850749052,15.96854710599005,15.96854710609005,16.514948926770586,16.514948926870584,17.038716735337143,17.03871673543714,17.560807950406364,17.560807950506362,18.074935346363258,18.074935346463256,18.583110835404625,18.583110835504623,19.0802208073636,19.080220807463597,19.573893762653043,19.57389376275304,20.05725566793389,20.05725566803389,20.53692906752061,20.53692906762061,21.014590554910534,21.014590555010532,21.483533756114326,21.483533756214324,21.933531450798267,21.933531450898265,22.378164046290745,22.378164046390744,22.816593245843094,22.816593245943093,23.25049564295265,23.25049564305265,23.672410396556277,23.672410396656275,24.09298387536204,24.09298387546204,24.5125513980694,24.5125513981694,24.930861475653767,24.930861475753765,25.34892006421353,25.34892006431353,25.76605652634976,25.76605652644976,26.182270862062463,26.18227086216246,26.59379073598263,26.593790736082628,27.003466357055736,27.003466357155734,27.400148378524513,27.40014837862451,27.79272274592483,27.79272274602483,28.18370434950268,28.183704349602678,28.56906936486447,28.569069364964466,28.952003319655123,28.95200331975512,29.32898536753025,29.32898536763025,29.70546443735618,29.70546443745618,30.079931594985307,30.079931595085306,30.45431492293957,30.45431492303957,30.828195272844635,30.828195272944633,31.201991793074832,31.20199179317483,31.57570448363016,31.57570448373016,31.946566965240024,31.946566965340022,32.31357328180603,32.31357328190603,32.67999279064796,32.67999279074796,33.0456578324161,33.0456578325161,33.4106522367853,33.410652236885305,33.772796432209034,33.772796432309036,34.134437649583575,34.134437649683576,34.49540822955918,34.49540822965918,34.85629497985992,34.85629497995992,35.21466683991466,35.214666840014665,35.57211657354587,35.57211657364587,35.92847652140381,35.92847652150381,36.281315622917354,36.281315623017356,36.6296279219881,36.629627922088105,36.97525767146312,36.97525767156312,37.31895933841621,37.31895933851621,37.66081675252222,37.660816752622225,38.00049459508171,38.00049459518171,38.3379090364198,38.337909036519804,38.673646884260556,38.67364688436056,39.00904941340185,39.00904941350185,39.34394896449394,39.34394896459394,39.67247746029617,39.67247746039617,39.9997485109754,39.9997485110754,40.324839990108096,40.3248399902081,40.6449016887488,40.644901688848805,40.9639574312911,40.9639574313911,41.28024679456281,41.28024679466281,41.59527871271151,41.59527871281151,41.91022680118535,41.910226801285354,42.224336592910525,42.22433659301053,42.5381948956111,42.5381948957111,42.8514663905876,42.851466390687605,43.164402566864645,43.16440256696465,43.47691959476735,43.476919594867354,43.787843858847594,43.787843858947596,44.09776216682943,44.097762166929435,44.40508175489041,44.40508175499041,44.71122772750326,44.71122772760326,45.013685194421974,45.013685194521976,45.31211883694709,45.312118837047095,45.610049501423006,45.61004950152301,45.9042916602048,45.9042916603048,46.197947011262514,46.197947011362515,46.490680235896704,46.490680235996706,46.78182069670843,46.78182069680843,47.07195520142175,47.07195520152175,47.36116757971154,47.36116757981154,47.649374001902935,47.649374002002936,47.936909786695395,47.9369097867954,48.50737072416265,48.50737072426265,48.789038431714445,48.78903843181445,49.069616353492975,49.06961635359298,49.34759555535064,49.34759555545064,49.62482029013451,49.62482029023451,49.90187736556864,49.90187736566864,50.17600040238244,50.176000402482444,50.448865994073245,50.44886599417325,50.72156392641431,50.721563926514314,50.99250143558318,50.99250143568318,51.26301979637772,51.26301979647772,51.53303517912306,51.53303517922306,51.8027990728438,51.8027990729438,52.0713893511164,52.0713893512164,52.33972814036441,52.33972814046441,52.607563951563215,52.60756395166322,52.87481295503795,52.874812955137955,53.14113983208916,53.14113983218916,53.40696373109117,53.40696373119117,53.67186550366964,53.671865503769645,53.936096638849186,53.93609663894919,54.19999245532926,54.19999245542926,54.46246316733661,54.46246316743661,54.724766219994216,54.72476622009422,54.986566294602625,54.98656629470263,55.2471927537629,55.247192753862905,55.50605878975098,55.50605878985098,55.764840996064194,55.764840996164196,56.02261724627901,56.02261724637901,56.27871690299649,56.278716903096495,56.53313996621664,56.53313996631664,56.787143881062455,56.78714388116246,57.040644817859075,57.04064481795908,57.29288830953269,57.292888309632694,57.54420967478278,57.54420967488278,57.79519572133339,57.795195721433394,58.04475666341128,58.04475666351128,58.29306016036617,58.29306016046617,58.539603234148856,58.53960323424886,58.78597864858181,58.78597864868181,59.03159959594097,59.03159959604097,59.276969054275526,59.27696905437553,59.52158404553628,59.52158404563628,60.00947275325993,60.00947275335993,60.25241115102335,60.252411151123354,60.49509805976218,60.49509805986218,60.7367790124026,60.7367790125026,60.97812464634356,60.97812464644356,61.21930262093478,61.219302621034785,61.460145276826545,61.460145276926546,61.7002334656445,61.7002334657445,61.93939952803893,61.939399528138935,62.41680952640425,62.41680952650425,62.65471814367568,62.65471814377568,62.89120165647437,62.891201656574374,63.1268468725244,63.126846872624405,63.3615699621509,63.361569962250904,63.596125392427666,63.59612539252767,63.8297586962809,63.8297586963809,64.06154774728707,64.06154774738707,64.29283382024403,64.29283382034403,64.52378457450153,64.52378457460154,64.75440001005956,64.75440001015956,64.98459629724326,64.98459629734326,65.21454109540237,65.21454109550237,65.44121653624167,65.44121653634167,65.66747282870664,65.66747282880664,65.89289082442293,65.89289082452294,66.11755435306544,66.11755435316545,66.34163107398388,66.34163107408388,66.56545630587772,66.56545630597772,66.78903004874695,66.78903004884695,67.01218464324187,67.01218464334187,67.23466860033783,67.23466860043783,67.45706872775894,67.45706872785894,67.67661864623459,67.67661864633459,67.89583324601075,67.89583324611075,68.11429337871313,68.11429337881313,68.33250202239091,68.33250202249091,68.54928556159595,68.54928556169595,68.76321889185553,68.76321889195553,68.97706839244024,68.97706839254025,69.19041491497575,69.19041491507575,69.40250399238826,69.40250399248826,70.25052498333885,70.25052498343885,70.67361335239062,70.67361335249062,70.88410966598066,70.88410966608066,71.09427066087125,71.09427066097125,71.30384484803776,71.30384484813776,71.51325137585454,71.51325137595454,71.72257407399646,71.72257407409646,71.9313099644143,71.9313099645143,72.13920755808348,72.13920755818349,72.34635068467887,72.34635068477887,72.55324232224966,72.55324232234966,72.75652928380117,72.75652928390117,72.95847497055483,72.95847497065483,73.15991767925928,73.15991767935928,73.36102506926427,73.36102506936427,73.5612941625206,73.5612941626206,73.76147942610204,73.76147942620204,73.96149703033377,73.96149703043378,74.16025718944249,74.16025718954249,74.55693921091127,74.55693921101127,74.75360362814833,74.75360362824833,74.94968123766132,74.94968123776133,75.14550735814971,75.14550735824972,75.34066284123917,75.34066284133917,75.53531534627943,75.53531534637943,75.72988402164482,75.72988402174482,75.92411737831075,75.92411737841076,76.11818307562694,76.11818307572695,76.3108236684704,76.31082366857041,76.5016200084668,76.5016200085668,76.69224868911346,76.69224868921346,76.88011099048953,76.88011099058953,77.06730265446666,77.06730265456666,77.25390751071971,77.25390751081972,77.44017704827331,77.44017704837331,77.62552445940338,77.62552445950338,77.81020123313452,77.81020123323452,77.99454268816618,77.99454268826618,78.17880031352298,78.17880031362299,78.36289027953005,78.36289027963005,78.54656109716278,78.54656109726278,78.72981276642119,78.72981276652119,78.91272911698012,78.91272911708012,79.0955616378642,79.0955616379642,79.27747203232472,79.27747203242473,79.45929859711039,79.45929859721039,79.6395323980736,79.6395323981736,79.81808960553947,79.81808960563947,79.99639532398074,79.99639532408074,80.17453338307227,80.17453338317227,80.35183314541514,80.35183314551514,80.52837844068422,80.52837844078422,80.70458841725382,80.70458841735382,80.88029541577423,80.88029541587423,81.0558347549449,81.0558347550449,81.2307872863915,81.2307872864915,81.40532066946378,81.40532066956378,81.57868043708793,81.57868043718793,81.75136956731313,81.75136956741314,81.92397486786348,81.92397486796348,82.44120396179044,82.44120396189044,82.61154586111938,82.61154586121938,82.78172010109859,82.78172010119859,83.12181709203242,83.12181709213242,83.29090154623836,83.29090154633836,83.45981834109456,83.45981834119456,83.62848364692617,83.62848364702617,83.79698129340805,83.79698129350805,83.96438915411666,83.96438915421666,84.13104254775148,84.13104254785148,84.29618700723869,84.29618700733869,84.46116380737617,84.46116380747617,84.62546997011472,84.62546997021472,84.7896923031784,84.7896923032784,84.95366314721748,84.95366314731749,85.11704718353249,85.1170471836325,85.27967675277371,85.27967675287371,85.44155185494112,85.44155185504113,85.76505057025136,85.76505057035136,85.92633886469471,85.92633886479472,86.0875433294632,86.0875433295632,86.24715503040922,86.24715503050922,86.40550928623223,86.40550928633223,86.56352822335579,86.56352822345579,86.72146333080447,86.72146333090447,86.87931460857828,86.87931460867829,87.03691439732751,87.03691439742751,87.19401120802753,87.19401120812753,87.35068887035321,87.35068887045321,87.50719887332917,87.50719887342918,87.66345738728053,87.66345738738053,87.81963207155701,87.81963207165701,88.13189761043512,88.13189761053512,88.28538974511588,88.28538974521588,88.4382112423977,88.4382112424977,88.59094891000466,88.59094891010466,88.74360274793675,88.74360274803675,89.04865893477633,89.04865893487633,89.3529606545421,89.3529606546421,89.50477619572553,89.50477619582553,89.80790430004318,89.80790430014318,89.95913303350252,89.95913303360253,90.11027793728702,90.11027793738702,90.41248391518114,90.41248391528114,90.56312584091643,90.56312584101643,90.71360010730199,90.71360010740199,90.86373905498807,90.86373905508808,91.01312353560037,91.01312353570037,91.16166971946399,91.16166971956399,91.31013207365275,91.31013207375275,91.45851059816664,91.45851059826664,91.60630231495647,91.60630231505647,91.75401020207143,91.75401020217143,92.04842002020295,92.04842002030296,92.19352918739705,92.19352918749705,92.33780005784247,92.33780005794247,92.4815679502387,92.4815679503387,92.623407760113,92.623407760213,92.76457693258837,92.76457693268837,92.905578445714,92.905578445814,93.0464122994899,93.0464122995899,93.32799617736683,93.32799617746683,93.4684108827684,93.4684108828684,93.6084902694705,93.6084902695705,93.7480666781234,93.7480666782234,93.88730776807682,93.88730776817683,94.02638119868053,94.02638119878053,94.44326617179215,94.44326617189215,94.58133364629745,94.58133364639745,94.71914963177815,94.71914963187815,94.85688178758399,94.85688178768399,95.13201078049619,95.13201078059619,95.26923995825283,95.26923995835283,95.40630147665972,95.40630147675972,95.68017302444892,95.68017302454892,95.81689922415636,95.81689922425636,95.95261946776539,95.95261946786539,96.08825588169957,96.08825588179957,96.223724636284,96.223724636384,96.35885807216897,96.35885807226897,96.4938238487042,96.4938238488042,96.76224646762708,96.76224646772708,96.89536799131524,96.89536799141524,97.02781887760449,97.02781887770449,97.15993444519425,97.15993444529425,97.29171469408456,97.29171469418456,97.42341111329999,97.4234111134,97.5546883841411,97.5546883842411,97.68529501758327,97.68529501768327,97.81581782135058,97.81581782145058,98.20696708427816,98.20696708437816,98.33656776162194,98.33656776172194,98.46600077961598,98.46600077971598,98.59526613826029,98.59526613836029,98.72444766722973,98.72444766732973,98.8532938774997,98.8532938775997,98.98197242841994,98.98197242851994,99.23865889286148,99.23865889296148,99.36649914703305,99.36649914713306,99.49425557152976,99.49425557162976,99.62176050700188,99.62176050710188,99.74792416767612,99.74792416777612,99.87400399867549,99.87400399877549,100.0,100.0000000001],[0.0,1e-10,4.397513567256785,4.397513567356785,7.113672327058879,7.113672327158879,9.820268770222716,9.820268770322716,12.439767485934466,12.439767486034466,14.783283918429984,14.783283918529984,17.117756473141124,17.117756473241123,19.292722673808065,19.292722673908063,21.307548872942736,21.307548873042734,23.08354757338934,23.083547573489337,24.73840439497898,24.738404395078977,26.360772381725376,26.360772381825374,27.94944184296948,27.94944184306948,29.449170238614364,29.449170238714363,30.929255562128848,30.929255562228846,32.33837236697867,32.33837236707867,33.74576104231556,33.74576104241556,35.062883752759966,35.06288375285997,36.333116549086654,36.333116549186656,37.59960506480198,37.59960506490198,38.85647365956194,38.856473659661944,40.0491134407577,40.0491134408577,41.21646492674747,41.21646492684747,42.37379326156219,42.37379326166219,43.515741243711766,43.51574124381177,44.633495412680205,44.633495412780206,45.723829926710025,45.723829926810026,46.78812728941158,46.78812728951158,47.84119181027903,47.84119181037903,48.88630693538697,48.88630693548697,49.92681371512707,49.92681371522707,50.928552789460255,50.92855278956026,51.92787248247533,51.92787248257533,52.859276685631926,52.85927668573193,53.779102421051846,53.77910242115185,54.68187727861077,54.68187727871077,55.567543653991606,55.56754365409161,56.43241487090008,56.432414871000084,57.28058083585016,57.28058083595016,58.0823753255364,58.0823753256364,58.86492997331192,58.86492997341192,59.64120575052377,59.64120575062377,60.40982015356159,60.40982015366159,61.159655549225484,61.159655549325485,61.90361530454538,61.903615304645385,62.63789753459283,62.63789753469283,63.37212216032319,63.37212216042319,64.07869671384653,64.07869671394653,64.7616534973597,64.7616534974597,65.44276694272575,65.44276694282576,66.12370757514051,66.12370757524052,66.79594995567348,66.79594995577348,67.44837645112476,67.44837645122476,68.08519217664248,68.08519217674248,68.69769888034489,68.69769888044489,69.3072677638753,69.3072677639753,69.91228590635497,69.91228590645497,70.51154361712484,70.51154361722485,71.11005247177245,71.11005247187245,71.69796213207403,71.69796213217403,72.27705833185962,72.27705833195962,72.84728346681214,72.84728346691215,73.40091855844044,73.40091855854044,73.95265270760451,73.95265270770452,74.50277393588985,74.50277393598985,75.05007255263739,75.05007255273739,75.58873052182022,75.58873052192023,76.12128243339069,76.12128243349069,76.65164538091143,76.65164538101143,77.18045301187053,77.18045301197053,77.69981353482555,77.69981353492555,78.21220393541174,78.21220393551174,78.70673699769756,78.70673699779756,79.19418472898033,79.19418472908033,79.68128683436052,79.68128683446052,80.16136121305475,80.16136121315475,80.62542159159577,80.62542159169577,81.0886755096974,81.0886755097974,81.5472634781141,81.5472634782141,81.97756772683572,81.97756772693572,82.40021060138331,82.40021060148331,82.81957002985632,82.81957002995632,83.23754695471898,83.23754695481898,83.63904904489162,83.63904904499162,84.03980227894199,84.039802279042,84.43272132586705,84.43272132596705,84.82425786918175,84.82425786928175,85.20686574334627,85.20686574344627,85.58238828650775,85.58238828660775,85.95422415337495,85.95422415347495,86.32294938711887,86.32294938721887,86.69023451293533,86.69023451303534,87.05371775382335,87.05371775392335,87.40942441190313,87.40942441200313,87.75862178215084,87.75862178225084,88.1068398790079,88.1068398791079,88.45114088230228,88.45114088240229,88.78380581354288,88.78380581364289,89.1134177159773,89.11341771607731,89.43888210758067,89.43888210768067,89.76290639125659,89.7629063913566,90.08364722885791,90.08364722895791,90.40121982901887,90.40121982911887,90.71516335720264,90.71516335730264,91.01724039606424,91.01724039616424,91.31597638453417,91.31597638463417,91.60987361036786,91.60987361046786,91.89098267780581,91.89098267790581,92.16673454375365,92.16673454385365,92.42935262540315,92.42935262550316,92.68972413868585,92.68972413878585,92.94606334977169,92.9460633498717,93.19658452483063,93.19658452493063,93.44428308835177,93.44428308845177,93.69117519143354,93.69117519153355,93.93109717214647,93.93109717224647,94.16474028229571,94.16474028239571,94.39671286724912,94.39671286734912,94.62736055290928,94.62736055300928,94.84648737514985,94.84648737524985,95.06423169378006,95.06423169388006,95.2729321346259,95.2729321347259,95.48122934525205,95.48122934535205,95.67771767087312,95.67771767097312,95.87334193173773,95.87334193183773,96.06499149472258,96.06499149482258,96.25266635982767,96.25266635992767,96.4361937141017,96.4361937142017,96.61482470142242,96.61482470152242,96.78925057359498,96.78925057369499,96.96356123713336,96.96356123723336,97.1356253323049,97.1356253324049,97.30406035549929,97.30406035559929,97.46247222751862,97.46247222761862,97.62002003478149,97.62002003488149,97.77653096433659,97.77653096443659,97.93229303776943,97.93229303786943,98.08477166512768,98.08477166522768,98.23062579601965,98.23062579611965,98.37371491969094,98.37371491979094,98.51542153975187,98.51542153985187,98.65217418854239,98.65217418864239,98.78650745601479,98.78650745611479,98.91260330614217,98.91260330624218,99.0350700842924,99.0350700843924,99.1551174811245,99.15511748122451,99.27326393549238,99.27326393559238,99.39048872078669,99.3904887208867,99.50523652044579,99.5052365205458,99.61814098195775,99.61814098205775,99.73006617007906,99.73006617017906,99.82534371055904,99.82534371065904,99.9134207114018,99.9134207115018,100.0,100.0000000001],[0.0,1e-10,15.146233548025764,15.146233548125764,26.9163819658359,26.916381965935898,36.09493139176701,36.094931391867014,45.21612993559227,45.21612993569227,52.97950154018482,52.97950154028482,60.56432371884626,60.56432371894626,66.48429011481377,66.48429011491378,72.11705404648558,72.11705404658558,77.32394287314477,77.32394287324477,81.97266872024643,81.97266872034643,86.44928591430971,86.44928591440971,89.81848221786615,89.81848221796615,92.22850742089051,92.22850742099051,93.98829459535145,93.98829459545145,95.36858022962755,95.36858022972756,96.57188462615514,96.57188462625514,97.358611033324,97.358611033424,98.12041444973397,98.12041444983397,98.8552226267152,98.8552226268152,99.45460655278633,99.45460655288633,99.76964435732287,99.76964435742288,99.8956034724167,99.8956034725167,100.0,100.0000000001],[0.0,1e-10,5.634688953265812,5.634688953365812,9.714329463308859,9.714329463408859,13.574598611533018,13.574598611633018,17.287858693477762,17.28785869357776,20.5467551808193,20.5467551809193,23.69445329421324,23.694453294313238,26.795844477867757,26.795844477967755,29.6721222404157,29.672122240515698,32.486904400269694,32.486904400369696,35.1895620475813,35.1895620476813,37.74292615341301,37.74292615351301,40.04172563082387,40.04172563092387,42.26803932754929,42.26803932764929,44.430202490942364,44.430202491042365,46.41430007384412,46.41430007394412,48.377096469065734,48.377096469165735,50.32118486467263,50.32118486477263,52.17340031167651,52.17340031177651,53.67164558775225,53.671645587852254,55.146181715801404,55.146181715901406,56.594662478050516,56.59466247815052,57.99634236997632,57.99634237007632,59.3442444808314,59.3442444809314,60.66911661196275,60.66911661206275,61.961944347714415,61.961944347814416,63.22501216328688,63.22501216338688,64.47813942460861,64.47813942470862,65.71589278525686,65.71589278535686,66.95086773012075,66.95086773022075,68.05704766773604,68.05704766783604,69.14921204128355,69.14921204138355,70.22019871229689,70.2201987123969,71.27488534404196,71.27488534414196,72.31821134235763,72.31821134245763,73.32677627208223,73.32677627218223,74.26470769831097,74.26470769841097,75.18924098620177,75.18924098630177,76.09562195763472,76.09562195773472,76.99681655293685,76.99681655303685,77.83886176331849,77.83886176341849,78.65997624145791,78.65997624155791,79.47701570978028,79.47701570988028,80.27732294082345,80.27732294092345,81.04076985579405,81.04076985589406,81.75334089062427,81.75334089072427,82.4562183414957,82.4562183415957,83.15446509939319,83.1544650994932,83.84845161975466,83.84845161985466,84.51897596238149,84.51897596248149,85.18042414677939,85.18042414687939,85.83014124230996,85.83014124240997,86.46874467470307,86.46874467480308,87.07604462259235,87.07604462269235,87.63654370015831,87.63654370025831,88.18691699575459,88.18691699585459,88.7266088262243,88.7266088263243,89.25734798361106,89.25734798371106,89.77431854722195,89.77431854732195,90.23374503281,90.23374503291001,90.68921999372695,90.68921999382695,91.14426275663301,91.14426275673301,91.59115549990491,91.59115550000492,92.03755430259294,92.03755430269294,92.4653685908122,92.4653685909122,92.83366303867308,92.83366303877308,93.19257261544008,93.19257261554009,93.52771130160752,93.52771130170753,93.8569844433413,93.8569844434413,94.16242495190254,94.16242495200254,94.45971544082963,94.45971544092963,94.74552181118133,94.74552181128134,95.01150881560457,95.01150881570457,95.26817269150693,95.26817269160694,95.52415739910646,95.52415739920646,95.77433830484532,95.77433830494532,96.02427224029222,96.02427224039222,96.26846411645143,96.26846411655143,96.49252791381724,96.49252791391724,96.71208450335509,96.71208450345509,96.90694406369857,96.90694406379858,97.0998896042795,97.0998896043795,97.29246468942252,97.29246468952252,97.48343446766789,97.48343446776789,97.66396975107864,97.66396975117864,97.84413457905148,97.84413457915149,98.02059485264517,98.02059485274518,98.18631191853932,98.18631191863932,98.34758351917847,98.34758351927847,98.50280434766502,98.50280434776502,98.656111156389,98.656111156489,98.7865114705352,98.7865114706352,98.91326897287526,98.91326897297526,99.03984124749634,99.03984124759634,99.16005403709988,99.16005403719988,99.27582136144844,99.27582136154844,99.3897364086074,99.3897364087074,99.50118175284695,99.50118175294695,99.61077481989692,99.61077481999692,99.70999513468524,99.70999513478525,99.80754840000296,99.80754840010296,99.90479295245575,99.90479295255575,100.0,100.0000000001],[0.0,1e-10,1.9084683432125364,1.9084683433125365,3.5317708803192476,3.5317708804192476,5.0835000504131225,5.0835000505131225,6.5639211857166355,6.5639211858166355,8.031739040452551,8.031739040552552,9.413390255939461,9.413390256039461,10.759420620559002,10.759420620659002,12.075999108483732,12.075999108583732,13.363059386658035,13.363059386758035,14.532975488609289,14.532975488709289,15.691482304994084,15.691482305094084,16.83738584081128,16.837385840911278,17.916425656564584,17.916425656664583,18.966676926179268,18.966676926279266,20.00386058383702,20.00386058393702,20.997065425619418,20.997065425719416,21.989673269901242,21.98967327000124,22.925102020239542,22.92510202033954,23.849121485011384,23.849121485111382,24.72080416889988,24.720804168999877,25.578755910275255,25.578755910375254,26.42980901386626,26.42980901396626,27.27834146134375,27.27834146144375,28.111816305195735,28.111816305295733,28.926717893474418,28.926717893574416,29.73870082730587,29.738700827405868,30.535493491400583,30.53549349150058,31.318356213815317,31.318356213915315,32.09405496622321,32.09405496632321,32.86524307084901,32.86524307094901,33.611887944895805,33.61188794499581,34.35767048921955,34.35767048931955,35.10332036743206,35.10332036753206,35.81348206088844,35.81348206098844,36.517740112394726,36.51774011249473,37.21582918972846,37.21582918982846,37.91099961261496,37.91099961271496,38.60583837022336,38.60583837032336,39.291921164490056,39.29192116459006,39.975350636532,39.975350636632,40.65068747578844,40.65068747588844,41.32091666976221,41.320916669862214,41.990946864569125,41.99094686466913,42.653879422424815,42.65387942252482,43.3160823166687,43.3160823167687,43.9720499036844,43.9720499037844,44.61528154402127,44.615281544121274,45.24418524434444,45.244185244444445,45.87050195549848,45.870501955598485,46.473734763297124,46.473734763397125,47.07557457692777,47.07557457702777,47.67522539972299,47.67522539982299,48.27321789612774,48.27321789622774,48.86782740669592,48.867827406795925,49.4578599364264,49.457859936526404,50.032901195586994,50.032901195686996,50.60635046141274,50.60635046151274,51.178141400848,51.178141400948,51.7279760988734,51.7279760989734,52.27343281522795,52.27343281532795,52.81424621768917,52.81424621778917,53.345905658474976,53.34590565857498,53.86463015341509,53.864630153515094,54.381828988075966,54.38182898817597,54.89889515662561,54.898895156725615,55.4108536798926,55.4108536799926,55.90908126064645,55.909081260746454,56.402466528340135,56.40246652844014,56.89552013075572,56.89552013085572,57.36336717203611,57.36336717213611,57.82683623164564,57.826836231745645,58.28619264180681,58.28619264190681,58.74342639418816,58.743426394288164,59.199665150735235,59.19966515083524,59.63786131615396,59.63786131625396,60.07512881879401,60.075128818894015,60.504237355592934,60.504237355692936,60.921870273769784,60.921870273869786,61.3358548738876,61.3358548739876,61.735179868713615,61.73517986881362,62.13377519992783,62.133775200027834,62.52295123724415,62.52295123734415,62.910468948170006,62.91046894827001,63.29692533020595,63.29692533030595,63.68265204863009,63.68265204873009,64.06539377955137,64.06539377965137,64.44621185185972,64.44621185195972,64.82490726638825,64.82490726648825,65.20287301730497,65.20287301740497,65.57898144266436,65.57898144276436,65.94712990134948,65.94712990144949,66.31282403697669,66.3128240370767,66.67798750815896,66.67798750825897,67.04262031489628,67.04262031499628,67.40327313829646,67.40327313839646,67.75875198335837,67.75875198345837,68.11310316647474,68.11310316657475,68.46712268431303,68.46712268441303,68.81928487659398,68.81928487669398,69.17104907054123,69.17104907064123,69.51087331447705,69.51087331457705,69.84811056924374,69.84811056934375,70.1848171595655,70.1848171596655,70.51661510377143,70.51661510387143,70.84556072658576,70.84556072668576,71.17304702217646,71.17304702227646,71.49814532776489,71.49814532786489,71.8224476366859,71.8224476367859,72.14575494977261,72.14575494987261,72.46773560174695,72.46773560184695,72.78739459677462,72.78739459687462,73.10632392819049,73.1063239282905,73.4247225951614,73.4247225952614,73.73768195157156,73.73768195167156,74.04838598409069,74.04838598419069,74.35590602994009,74.35590603004009,74.66216574773274,74.66216574783274,74.96351681940958,74.96351681950958,75.2622809019173,75.2622809020173,75.55958565720138,75.55958565730138,75.85344109359329,75.85344109369329,76.14656686637339,76.14656686647339,76.43677398470625,76.43677398480625,76.72578710803798,76.72578710813798,77.01241224136741,77.01241224146742,77.29870570941877,77.29870570951877,77.57730454301831,77.57730454311832,77.85079573133521,77.85079573143521,78.12362358909591,78.12362358919592,78.39479312046613,78.39479312056613,78.66264599905541,78.66264599915542,78.92937121569918,78.92937121579918,79.19503510345304,79.19503510355304,79.45877533259394,79.45877533269395,79.72098990145561,79.72098990155561,79.98134714475995,79.98134714485995,80.24084205834124,80.24084205844125,80.4987449785877,80.4987449786877,80.7520045849408,80.75200458504081,81.0038048640703,81.0038048641703,81.25082916319523,81.25082916329524,81.49380714592742,81.49380714602742,81.7364534633815,81.7364534634815,81.97691079000016,81.97691079010016,82.21153080772436,82.21153080782436,82.44528849572549,82.4452884958255,82.67878085150417,82.67878085160417,82.9121405411716,82.9121405412716,83.14516856556094,83.14516856566094,83.37786492467218,83.37786492477218,83.60830595989238,83.60830595999238,83.8363590051103,83.8363590052103,84.0643457172726,84.0643457173726,84.29226609637928,84.29226609647928,84.51899248048481,84.51899248058481,84.74459120264483,84.74459120274483,84.96587827618961,84.96587827628962,85.18331803250851,85.18331803260851,85.40069145577178,85.40069145587178,85.61773321375695,85.61773321385695,85.83324931146288,85.83324931156288,86.04710708277835,86.04710708287836,86.25685220464544,86.25685220474544,86.46527066540014,86.46527066550014,86.67169913448629,86.67169913458629,86.8769999416269,86.87699994172691,87.08157108515573,87.08157108525573,87.28581056340644,87.28581056350644,87.48786105082173,87.48786105092174,87.68951353990332,87.68951354000332,87.89030369926185,87.89030369936185,88.08936919917429,88.08936919927429,88.28790403464177,88.28790403474177,88.48564287344183,88.48564287354183,88.68232038335199,88.682320383452,88.87833456270596,88.87833456280596,89.07043509177842,89.07043509187842,89.45397281936712,89.45397281946713,89.64461402121596,89.64461402131596,89.8334642305631,89.8334642306631,90.02198277463212,90.02198277473212,90.20844499397695,90.20844499407696,90.39371321832066,90.39371321842066,90.57765478155198,90.57765478165199,90.76153001172769,90.76153001182769,90.94414491384663,90.94414491394663,91.12669348290996,91.12669348300996,91.30844605530585,91.30844605540585,91.48980062936803,91.48980062946804,91.66604755814755,91.66604755824756,91.84050349442538,91.84050349452538,92.01084678125481,92.01084678135481,92.35093635741312,92.35093635751312,92.51915698646275,92.51915698656275,92.68684695106744,92.68684695116744,92.8502916001125,92.8502916002125,93.01274125332328,93.01274125342329,93.17452757597788,93.17452757607788,93.49803388823146,93.49803388833146,93.65809555143996,93.65809555153996,93.8144425635338,93.8144425636338,93.97032524423831,93.97032524433831,94.12468226466359,94.12468226476359,94.27870761981076,94.27870761991076,94.4322686435686,94.4322686436686,94.58536533593713,94.58536533603713,94.73799769691631,94.73799769701631,94.89043105872864,94.89043105882864,95.04186942470668,95.04186942480668,95.19284345929539,95.19284345939539,95.34156216999305,95.34156217009306,95.4863672304092,95.4863672305092,95.63057529332477,95.63057529342477,95.77365569429483,95.77365569439483,95.91315411026146,95.91315411036146,96.04960120566962,96.04960120576962,96.1850533052435,96.1850533053435,96.32030640565051,96.32030640575051,96.4540338457783,96.4540338458783,96.58723062146113,96.58723062156113,96.71730974352987,96.71730974362987,96.84460287726262,96.84460287736262,96.97103368127232,96.97103368137232,97.22124196706696,97.22124196716696,97.34415711912887,97.34415711922887,97.46561294396714,97.46561294406715,97.5870024357498,97.5870024358498,97.7077949300319,97.7077949301319,97.82845475820274,97.82845475830274,97.94646126414884,97.94646126424884,98.06261044453761,98.06261044463761,98.17856062575952,98.17856062585952,98.29192381781229,98.29192381791229,98.4047563454201,98.4047563455201,98.51719087469421,98.51719087479421,98.62803341063345,98.62803341073345,98.7374829524047,98.7374829525047,98.84686616112035,98.84686616122035,98.95538704011292,98.95538704021293,99.06205059354818,99.06205059364818,99.1685814808722,99.16858148097221,99.27471436986251,99.27471436996251,99.38051559357471,99.38051559367472,99.48571981978635,99.48571981988636,99.5905923807199,99.5905923808199,99.69506694331973,99.69506694341973,99.7968881836948,99.7968881837948,99.89864309101426,99.89864309111427,100.0,100.0000000001],[0.0,1e-10,1.8876906822450323,1.8876906823450323,2.913180929508537,2.913180929608537,3.8111718534252392,3.8111718535252392,4.647886162888629,4.647886162988629,5.460007391663358,5.460007391763358,6.206455477593505,6.206455477693505,6.938958325032596,6.938958325132596,7.662668115689149,7.662668115789149,8.385072686979544,8.385072687079544,9.092845062217746,9.092845062317746,9.782619149354192,9.782619149454192,10.45844799799958,10.45844799809958,11.125209006837975,11.125209006937975,11.790115230261305,11.790115230361305,12.450006663488344,12.450006663588344,13.081526749440473,13.081526749540473,13.71242857358758,13.71242857368758,14.310631217824625,14.310631217924625,14.905055595475423,14.905055595575423,15.491442569660931,15.491442569760931,16.06340343506259,16.063403435162588,16.634883430171453,16.63488343027145,17.19324253586262,17.193242535962618,17.75139555428545,17.751395554385446,18.27238416865083,18.27238416875083,18.78512929228258,18.785129292382578,19.296775283816515,19.296775283916514,19.80223865730023,19.802238657400228,20.307427247759488,20.307427247859486,20.80979931221809,20.809799312318088,21.311278331847216,21.311278331947214,21.804994731035507,21.804994731135505,22.29513895090589,22.29513895100589,22.78514577926405,22.785145779364047,23.273366517963254,23.273366518063252,23.75719072827119,23.75719072837119,24.240671459798556,24.240671459898554,24.721679144105835,24.721679144205833,25.19877117031464,25.198771170414638,25.67119188510772,25.67119188520772,26.142925642339666,26.142925642439664,26.60538547249628,26.60538547259628,27.066471387530623,27.06647138763062,27.985071038281397,27.985071038381395,28.433379542678612,28.43337954277861,28.880314131953558,28.880314132053556,29.324226107959504,29.324226108059502,29.762848510744703,29.7628485108447,30.192883944015705,30.192883944115703,30.617080238017056,30.617080238117055,31.03887218055443,31.03887218065443,31.45983977401844,31.45983977411844,31.879502148116295,31.879502148216293,32.297996694360215,32.29799669446022,32.71614776182357,32.71614776192357,33.13361187172579,33.13361187182579,33.54743510655399,33.54743510665399,33.95954094747935,33.95954094757935,34.365464170354485,34.36546417045449,34.76870825874119,34.768708258841194,35.16728103571218,35.16728103581218,35.5650294636098,35.5650294637098,35.96126658487292,35.96126658497292,36.35537413769652,36.355374137796524,36.74900082022733,36.74900082032733,37.141940545197,37.141940545297004,37.530964612068196,37.5309646121682,37.91717215293873,37.917172153038734,38.30131882112587,38.30131882122587,38.68484722750798,38.68484722760798,39.06013214315646,39.06013214325646,39.43527966729271,39.43527966739271,39.80802283996499,39.80802284006499,40.18014775083225,40.18014775093225,40.55179179140671,40.55179179150671,40.922130612615014,40.922130612715016,41.28924073328598,41.28924073338598,41.65552650488358,41.655526504983584,42.01878966321219,42.01878966331219,42.38054151490629,42.38054151500629,42.735629878257384,42.735629878357386,43.089825196778996,43.089825196879,43.44333355773947,43.44333355783947,43.79320104362593,43.79320104372593,44.13915287141391,44.139152871513915,44.48331860954294,44.48331860964294,44.82439303864686,44.82439303874686,45.162719637506235,45.16271963760624,45.50056536607281,45.500565366172815,45.83799892010271,45.837998920202715,46.16224288895881,46.16224288905881,46.48380772332647,46.48380772342647,46.80441081710854,46.80441081720854,47.44245699989146,47.442456999991464,47.75811399923335,47.758113999333354,48.073702302819136,48.07370230291914,48.38764190825819,48.38764190835819,48.69993281555052,48.69993281565052,49.009819371378875,49.009819371478876,49.31922505691443,49.319225057014435,49.62670726127881,49.62670726137881,49.93295294203315,49.93295294213315,50.238442969470235,50.23844296957024,50.543452126614525,50.54345212671453,50.84653780258763,50.846537802687635,51.14955478280463,51.14955478290463,51.45202219697271,51.452022197072715,51.7509174318229,51.7509174319229,52.04624048735517,52.04624048745517,52.33977745322849,52.339777453328495,52.63235267851623,52.63235267861623,52.92410355473059,52.924103554830594,53.214549211578806,53.21454921167881,53.50451399813422,53.50451399823422,53.793860522884614,53.793860522984616,54.08272617734222,54.08272617744222,54.371454440287586,54.37145444038759,54.65750356874453,54.65750356884453,54.940598779688585,54.94059877978859,55.22355659912042,55.22355659922042,55.5052778949422,55.505277895042205,55.78225918359215,55.782259183692155,56.05793525287595,56.05793525297595,56.33326784337917,56.33326784347917,56.607844780565145,56.60784478066515,56.88166606443387,56.881666064533874,57.155281261034254,57.155281261134256,57.428072108561274,57.428072108661276,57.698527300380434,57.698527300480436,57.96891379644348,57.96891379654348,58.23737681133535,58.237376811435354,58.50556504320276,58.50556504330276,58.7693567466789,58.769356746778904,59.03273627561836,59.032736275718364,59.294673193679444,59.294673193779445,59.556541415984405,59.55654141608441,59.815730503800935,59.81573050390094,60.074438721324675,60.07443872142468,60.33136084918946,60.33136084928946,60.58745862798088,60.58745862808088,60.84218249165003,60.84218249175003,61.096631572294726,61.09663157239473,61.34984412932938,61.34984412942938,61.60182016275399,61.60182016285399,61.85262836832466,61.85262836842466,62.09876526247962,62.09876526257962,62.344558677853996,62.344558677954,62.58904687386222,62.589046873962225,62.83271072079709,62.83271072089709,63.07630587197584,63.07630587207584,63.31935145710568,63.319351457205684,63.56150399740605,63.56150399750605,63.802557405608596,63.8025574057086,64.04354211805503,64.04354211815503,64.28390856869645,64.28390856879645,64.52290110421558,64.52290110431558,65.00068008798553,65.00068008808553,65.23912305745576,65.23912305755576,65.47584863302315,65.47584863312315,65.71071942317548,65.71071942327548,65.94538412605947,65.94538412615947,66.1798427416751,66.1798427417751,66.41175961431455,66.41175961441455,66.64312692090508,66.64312692100508,66.87401335720281,66.87401335730281,67.10469370623221,67.10469370633221,67.33084013535812,67.33084013545812,67.55547525784952,67.55547525794952,67.77516428590074,67.77516428600075,68.21426755897875,68.21426755907875,68.65240909147114,68.65240909157114,68.8692128977656,68.86921289786561,69.08491757196224,69.08491757206224,69.30048485464665,69.30048485474666,69.5157086585505,69.5157086586505,69.7297646346004,69.7297646347004,69.94354582762585,69.94354582772586,70.15691484611463,70.15691484621463,70.5831720127994,70.5831720128994,70.79475494162922,70.79475494172922,71.00606308743458,71.00606308753459,71.21503557753209,71.2150355776321,71.42215328221454,71.42215328231454,71.62920229114086,71.62920229124086,71.83542695099382,71.83542695109382,72.04096465328566,72.04096465338566,72.24581539801635,72.24581539811635,72.44826179128306,72.44826179138306,72.6493342694275,72.6493342695275,72.84992587727915,72.84992587737915,73.04962444030133,73.04962444040133,73.24698734761564,73.24698734771565,73.44407547190549,73.4440754720055,73.6408888131709,73.6408888132709,74.03410332116502,74.03410332126502,74.22940535579593,74.22940535589593,74.4235395625729,74.4235395626729,74.61719289905709,74.61719289915709,74.80933492890676,74.80933492900677,75.00133956724422,75.00133956734422,75.19306942255722,75.19306942265722,75.38459319060188,75.38459319070188,75.57604826289041,75.57604826299041,75.76509898371498,75.76509898381498,75.95222622336837,75.95222622346837,76.13921607150954,76.13921607160954,76.325175483309,76.325175483409,76.51079141632788,76.51079141642788,76.69626995783455,76.69626995793455,76.88126762904841,76.88126762914841,77.06619660450616,77.06619660460616,77.2509881884517,77.2509881885517,77.43481803181163,77.43481803191163,77.618304396391,77.618304396491,77.80130989067757,77.80130989077757,77.98424668920804,77.98424668930804,78.16649653017735,78.16649653027736,78.34867767539058,78.34867767549058,78.53072142909156,78.53072142919156,78.71249039976809,78.71249039986809,78.89398458742016,78.89398458752017,79.07403616419384,79.07403616429384,79.25312600038195,79.25312600048196,79.43200974930171,79.43200974940171,79.61020654066033,79.61020654076033,79.96591316581645,79.96591316591645,80.14191169297943,80.14191169307944,80.31674239228849,80.31674239238849,80.66619770363826,80.66619770373826,80.83979187933728,80.83979187943729,81.01304257625573,81.01304257635573,81.18533153258858,81.18533153268858,81.35659005257973,81.35659005267973,81.52661204896084,81.52661204906084,81.69580969626858,81.69580969636858,81.8643203860152,81.8643203861152,82.03221281395678,82.03221281405678,82.19948698009334,82.19948698019334,82.36511244808318,82.36511244818318,82.52998226275577,82.52998226285577,82.69478338167225,82.69478338177225,82.85930971756427,82.85930971766427,83.02369866194407,83.02369866204407,83.18774412754328,83.18774412764328,83.3517208973864,83.3517208974864,83.51542288420507,83.51542288430507,83.67816313043812,83.67816313053812,83.84069728940285,83.84069728950286,84.00275057807478,84.00275057817478,84.1646664752345,84.1646664753345,84.32644498088197,84.32644498098198,84.48815479077334,84.48815479087334,84.64979590490859,84.64979590500859,84.8112309317755,84.8112309318755,84.97122334776402,84.97122334786403,85.13107837224032,85.13107837234033,85.29038383066771,85.29038383076771,85.44955189758286,85.44955189768287,85.60823909420523,85.60823909430523,85.76672020355926,85.76672020365926,85.92506392140106,85.92506392150106,86.08333894348675,86.08333894358675,86.2414765740602,86.2414765741602,86.39817159375528,86.39817159385528,86.5545231346698,86.5545231347698,86.71073728407207,86.71073728417207,86.86640186742544,86.86640186752544,87.02131079746155,87.02131079756155,87.17615103174155,87.17615103184156,87.33057909148489,87.3305790915849,87.48280888703258,87.48280888713258,87.6346952037997,87.6346952038997,87.7864441290546,87.7864441291546,87.93778087977282,87.93778087987282,88.08863676019823,88.08863676029823,88.23839350852583,88.23839350862583,88.53756352640046,88.53756352650046,88.68635853414247,88.68635853424247,88.83487875886003,88.83487875896003,88.98257463450423,88.98257463460423,89.13006442288008,89.13006442298008,89.27494377252363,89.27494377262363,89.41844920704489,89.41844920714489,89.56147377127336,89.56147377137336,89.70408616096515,89.70408616106515,89.84642376763249,89.84642376773249,89.98793702522646,89.98793702532646,90.12896941252764,90.12896941262764,90.26869658046265,90.26869658056265,90.40821766112933,90.40821766122933,90.54698308847875,90.54698308857876,90.68561112431597,90.68561112441597,90.82410176864094,90.82410176874095,90.96176806389255,90.96176806399255,91.09888479309525,91.09888479319525,91.23531456473683,91.23531456483683,91.37167564062227,91.37167564072227,91.5078993249955,91.50789932509551,91.642474311222,91.642474311322,91.77636233988737,91.77636233998737,91.90997558552827,91.90997558562827,92.04324535238862,92.04324535248863,92.30971619035319,92.30971619045319,92.44271117418909,92.44271117428909,92.57543137500052,92.57543137510052,92.70794548854361,92.70794548864362,92.83984134028168,92.83984134038168,92.9714624089953,92.9714624090953,93.23456715491031,93.23456715501031,93.36577604908724,93.36577604918725,93.49636668145915,93.49636668155915,93.62565209446491,93.62565209456491,93.75191489420166,93.75191489430166,93.87687247457227,93.87687247467227,94.00176135918676,94.00176135928676,94.12637546077679,94.12637546087679,94.2509208666107,94.2509208667107,94.37498540215182,94.37498540225182,94.49801950135125,94.49801950145125,94.62077881752622,94.62077881762622,94.74305726340837,94.74305726350838,94.98713328487993,94.98713328497993,95.10831259866428,95.10831259876429,95.22935452093641,95.22935452103641,95.34998426867185,95.34998426877185,95.46889662250446,95.46889662260446,95.58643506121479,95.58643506131479,95.70314915085176,95.70314915095176,95.81965715322039,95.81965715332039,95.935546893784,95.935546893884,96.05123054707926,96.05123054717926,96.16663941735007,96.16663941745007,96.28177350459643,96.28177350469643,96.39615193852555,96.39615193862555,96.5102555894302,96.5102555895302,96.62374097852982,96.62374097862983,96.73708897611724,96.73708897621724,96.8502995821924,96.85029958229241,96.96309801373091,96.96309801383092,97.07569035800107,97.07569035810107,97.18745835319785,97.18745835329786,97.41051347329865,97.41051347339865,97.52166320669042,97.52166320679042,97.63240076554551,97.63240076564551,97.74300093288836,97.74300093298837,97.96406387606187,97.96406387616187,98.07404578159971,98.07404578169971,98.18389029562532,98.18389029572532,98.29366611389482,98.29366611399482,98.40323584489597,98.40323584499598,98.51273688014102,98.51273688024102,98.62155095782492,98.62155095792492,98.72981546945992,98.72981546955992,98.83787389382658,98.83787389392658,98.94538275214434,98.94538275224434,99.05282291470597,99.05282291480597,99.16012568575539,99.16012568585539,99.26735976104868,99.26735976114868,99.37438774907363,99.37438774917364,99.48086617104968,99.48086617114969,99.58603937365957,99.58603937375958,99.68970126963497,99.68970126973497,99.79329446985425,99.79329446995425,99.8968189743174,99.8968189744174,100.0,100.0000000001],[0.0,1e-10,16.124807627054356,16.124807627154354,31.65248727853956,31.65248727863956,42.079938934637596,42.0799389347376,52.42823614370825,52.42823614380825,60.44794595386107,60.447945953961074,67.48404708572262,67.48404708582262,73.77941313975582,73.77941313985582,78.03158297720692,78.03158297730693,80.97758682437181,80.97758682447181,83.63608243118239,83.63608243128239,86.1156278282572,86.1156278283572,88.26338318808943,88.26338318818944,89.71256820896303,89.71256820906304,90.78973909024137,90.78973909034137,91.8638519988262,91.86385199892621,92.887625972303,92.887625972403,93.84518307553252,93.84518307563252,94.6463131140571,94.6463131141571,95.42786036590995,95.42786036600995,96.06003741311976,96.06003741321976,96.66827994328636,96.66827994338637,97.25741014411872,97.25741014421872,97.72210437919333,97.72210437929333,98.11952321501136,98.11952321511136,98.46066359183592,98.46066359193593,98.78133907448104,98.78133907458104,99.050675900176,99.050675900276,99.30184131121165,99.30184131131165,99.48973021035911,99.48973021045911,99.67244407879454,99.67244407889454,99.83951524075948,99.83951524085948,100.0,100.0000000001],[0.0,1e-10,7.769934601325273,7.769934601425273,14.960501876153675,14.960501876253675,20.863393984198442,20.86339398429844,26.26966905075908,26.26966905085908,31.605649624336774,31.605649624436772,36.05398201868023,36.05398201878023,40.17719517476456,40.177195174864565,44.23559207973091,44.23559207983091,47.530264403018684,47.530264403118686,50.78768468162477,50.78768468172477,53.99009187876593,53.99009187886593,57.19036544486496,57.19036544496496,59.87672225832736,59.876722258427364,62.562387083343665,62.56238708344367,65.14967421760615,65.14967421770615,67.52175294513167,67.52175294523167,69.34214388400429,69.34214388410429,71.10936704393492,71.10936704403493,72.71524156451667,72.71524156461668,74.28334504908216,74.28334504918216,75.80618095613197,75.80618095623197,77.2868055679697,77.2868055680697,78.70780384203519,78.70780384213519,80.04634015960714,80.04634015970714,81.2914003712518,81.2914003713518,82.49061634834237,82.49061634844237,83.6394901659792,83.6394901660792,84.72435505235181,84.72435505245181,85.72629665660016,85.72629665670016,86.62207570007607,86.62207570017607,87.49305849090007,87.49305849100007,88.35193148391733,88.35193148401733,89.16611355645732,89.16611355655732,89.95169343989187,89.95169343999187,90.71858963528172,90.71858963538172,91.37574799626096,91.37574799636096,92.02131555076802,92.02131555086802,92.64560446055752,92.64560446065752,93.26285815447835,93.26285815457835,93.87157732423061,93.87157732433062,94.4680136990646,94.4680136991646,94.94271777308892,94.94271777318892,95.36050579742154,95.36050579752154,95.7300276276387,95.7300276277387,96.04447871068713,96.04447871078713,96.35523918868968,96.35523918878968,96.66340471001936,96.66340471011937,96.94544766750877,96.94544766760878,97.21342019326084,97.21342019336085,97.4700325753561,97.4700325754561,97.66978657346351,97.66978657356351,97.85224086041843,97.85224086051844,98.03244618492353,98.03244618502353,98.21161352675948,98.21161352685948,98.3827076700576,98.3827076701576,98.5360407765725,98.53604077667251,98.68625993507995,98.68625993517995,98.834806788176,98.834806788276,98.9766644196264,98.9766644197264,99.10779623016228,99.10779623026228,99.23846671506742,99.23846671516742,99.34526359858212,99.34526359868212,99.45067650520461,99.45067650530461,99.5462285764702,99.5462285765702,99.63958935098981,99.63958935108981,99.7315661486172,99.7315661487172,99.82267796068699,99.82267796078699,99.9134437785337,99.9134437786337,100.0,100.0000000001],[0.0,1e-10,16.82389581493152,16.82389581503152,30.339224969207212,30.33922496930721,41.953928487378775,41.95392848747878,50.29001763517499,50.29001763527499,58.281716571868685,58.28171657196869,65.89564988829018,65.89564988839018,72.43930840773014,72.43930840783014,77.17990017940811,77.17990017950811,80.05953781782283,80.05953781792283,82.90720597089738,82.90720597099738,85.38658320776804,85.38658320786804,87.82983431493305,87.82983431503305,89.91842585432795,89.91842585442795,91.4247815469441,91.4247815470441,92.54139070317586,92.54139070327587,93.60359671991858,93.60359672001859,94.43633151683899,94.43633151693899,95.24871098179328,95.24871098189328,95.90582755427324,95.90582755437325,96.5380653876835,96.5380653877835,97.08600891844725,97.08600891854725,97.61757038024128,97.61757038034128,98.12278605201307,98.12278605211307,98.45611225384872,98.45611225394872,98.7838147603664,98.7838147604664,99.08853346862803,99.08853346872803,99.38817862567889,99.38817862577889,99.58347978373224,99.58347978383225,99.7734017549597,99.77340175505971,99.9031135100111,99.9031135101111,100.0,100.0000000001]],"coord_y":[[13033,13033,13033,12146,12146,10579,10579,9812,9812,9771,9771,9282,9282,9215,9215,8375,8375,8342,8342,8066,8066,7907,7907,7672,7672,7582,7582,7548,7548,7449,7449,6825,6825,6733,6733,6484,6484,6462,6462,6296,6296,6161,6161,6143,6143,6068,6068,6065,6065,6020,6020,5954,5954,5945,5945,5807,5807,5805,5805,5653,5653,5629,5629,5599,5599,5576,5576,5532,5532,5503,5503,5451,5451,5416,5416,5410,5410,5377,5377,5364,5364,5240,5240,5212,5212,5191,5191,5178,5178,5162,5162,5161,5161,5124,5124,4950,4950,4945,4945,4932,4932,4914,4914,4847,4847,4797,4797,4793,4793,4727,4727,4709,4709,4700,4700,4684,4684,4674,4674,4672,4672,4581,4581,4557,4557,4554,4554,4439,4439,4430,4430,4420,4420,4394,4394,4368,4368,4351,4351,4337,4337,4334,4334,4322,4322,4303,4303,4287,4287,4272,4272,4265,4265,4234,4234,4230,4230,4221,4221,4214,4214,4190,4190,4178,4178,4156,4156,4133,4133,4079,4079,4072,4072,4066,4066,4061,4061,4057,4057,4032,4032,4030,4030,3953,3953,3942,3942,3939,3939,3935,3935,3915,3915,3883,3883,3867,3867,3866,3866,3862,3862,3843,3843,3842,3842,3841,3841,3833,3833,3819,3819,3791,3791,3763,3763,3757,3757,3727,3727,3718,3718,3713,3713,3697,3697,3695,3695,3686,3686,3648,3648,3635,3635,3633,3633,3623,3623,3604,3604,3600,3600,3572,3572,3557,3557,3523,3523,3520,3520,3519,3519,3490,3490,3489,3489,3479,3479,3453,3453,3431,3431,3399,3399,3397,3397,3362,3362,3351,3351,3350,3350,3337,3337,3335,3335,3333,3333,3299,3299,3294,3294,3278,3278,3251,3251,3246,3246,3245,3245,3243,3243,3242,3242,3233,3233,3220,3220,3209,3209,3204,3204,3193,3193,3183,3183,3168,3168,3165,3165,3160,3160,3157,3157,3155,3155,3139,3139,3122,3122,3091,3091,3086,3086,3081,3081,3076,3076,3061,3061,3058,3058,3047,3047,3025,3025,3024,3024,3021,3021,3014,3014,3008,3008,3001,3001,2999,2999,2986,2986,2969,2969,2965,2965,2945,2945,2944,2944,2931,2931,2930,2930,2919,2919,2899,2899,2886,2886,2876,2876,2853,2853,2845,2845,2837,2837,2828,2828,2809,2809,2805,2805,2793,2793,2790,2790,2780,2780,2779,2779,2771,2771,2745,2745,2730,2730,2729,2729,2726,2726,2725,2725,2716,2716,2715,2715,2696,2696,2675,2675,2669,2669,2659,2659,2654,2654,2626,2626,2610,2610,2603,2603,2581,2581,2571,2571,2568,2568,2550,2550,2545,2545,2535,2535,2526,2526,2518,2518,2506,2506,2502,2502,2497,2497,2494,2494,2492,2492,2472,2472,2469,2469,2468,2468,2452,2452,2445,2445,2430,2430,2429,2429,2426,2426,2419,2419,2409,2409,2404,2404,2388,2388,2377,2377,2376,2376,2359,2359,2356,2356,2340,2340,2325,2325,2317,2317,2313,2313,2309,2309,2304,2304,2303,2303,2300,2300,2286,2286,2285,2285,2278,2278,2276,2276,2265,2265,2259,2259,2248,2248,2242,2242,2231,2231,2221,2221,2204,2204,2193,2193,2192,2192,2190,2190,2188,2188,2185,2185,2172,2172,2171,2171,2163,2163,2158,2158,2155,2155,2154,2154,2150,2150,2145,2145,2124,2124,2107,2107,2096,2096,2090,2090,2084,2084,2079,2079,2060,2060,2057,2057,2050,2050,2042,2042,2025,2025,2019,2019,2016,2016,2015,2015,2006,2006,1999,1999,1993,1993,1978,1978,1977,1977,1975,1975,1972,1972,1955,1955,1949,1949,1947,1947,1931,1931,1923,1923,1921,1921,1915,1915,1913,1913,1904,1904,1894,1894,1870,1870,1864,1864,1856,1856,1852,1852,1846,1846,1829,1829,1827,1827,1823,1823,1821,1821,1818,1818,1816,1816,1810,1810,1808,1808,1804,1804,1787,1787,1761,1761,1760,1760,1748,1748,1736,1736,1730,1730,1723,1723,1721,1721,1713,1713,1696,1696,1691,1691,1688,1688,1671,1671,1668,1668,1662,1662,1659,1659,1654,1654,1649,1649,1642,1642,1633,1633,1629,1629,1628,1628,1627,1627,1626,1626,1620,1620,1605,1605,1602,1602,1595,1595,1580,1580,1570,1570,1568,1568,1566,1566,1565,1565,1562,1562,1561,1561,1560,1560,1559,1559,1558,1558,1553,1553,1551,1551,1540,1540,1538,1538,1533,1533,1532,1532,1530,1530,1527,1527,1521,1521,1520,1520,1517,1517,1516,1516,1509,1509,1508,1508,1504,1504,1502,1502,1501,1501,0.0],[21384,21384,21384,21183,21183,19999,19999,17582,17582,15630,15630,15242,15242,15227,15227,15165,15165,14102,14102,13798,13798,13566,13566,13498,13498,13015,13015,13011,13011,12351,12351,12346,12346,12011,12011,11828,11828,11760,11760,11439,11439,11274,11274,11018,11018,10760,10760,10755,10755,10565,10565,10247,10247,10155,10155,10146,10146,10139,10139,9941,9941,9899,9899,9654,9654,9550,9550,9374,9374,9333,9333,9323,9323,9257,9257,9250,9250,9167,9167,8988,8988,8827,8827,8740,8740,8708,8708,8574,8574,8527,8527,8259,8259,8250,8250,8248,8248,8057,8057,7925,7925,7775,7775,7754,7754,7703,7703,7693,7693,7593,7593,7576,7576,7553,7553,7548,7548,7437,7437,7257,7257,7252,7252,7227,7227,7165,7165,7008,7008,7004,7004,6961,6961,6938,6938,6794,6794,6673,6673,6666,6666,6608,6608,6532,6532,6525,6525,6522,6522,6519,6519,6510,6510,6503,6503,6500,6500,6486,6486,6277,6277,6227,6227,6217,6217,6180,6180,6083,6083,6032,6032,6007,6007,5993,5993,5988,5988,5986,5986,5982,5982,5937,5937,5932,5932,5919,5919,5894,5894,5841,5841,5786,5786,5755,5755,5698,5698,5645,5645,5638,5638,5626,5626,5583,5583,5548,5548,5504,5504,5471,5471,5448,5448,5421,5421,5393,5393,5379,5379,5335,5335,5311,5311,5304,5304,5293,5293,5277,5277,5268,5268,5207,5207,5187,5187,5168,5168,5166,5166,5139,5139,5132,5132,5053,5053,5043,5043,5039,5039,5013,5013,4941,4941,4859,4859,4857,4857,4796,4796,4780,4780,4767,4767,4764,4764,4711,4711,4657,4657,4655,4655,4627,4627,4568,4568,4522,4522,4519,4519,4511,4511,4510,4510,4505,4505,4499,4499,4491,4491,4471,4471,4447,4447,4414,4414,4403,4403,4400,4400,4342,4342,4317,4317,4270,4270,4156,4156,4144,4144,4096,4096,4083,4083,4000,4000,3981,3981,3967,3967,3954,3954,3796,3796,3793,3793,3732,3732,3721,3721,3699,3699,3683,3683,3680,3680,3675,3675,3668,3668,3643,3643,3641,3641,3635,3635,3625,3625,3592,3592,3585,3585,3544,3544,3526,3526,3519,3519,3516,3516,3492,3492,3439,3439,3412,3412,3372,3372,3353,3353,3343,3343,3336,3336,3323,3323,3171,3171,3168,3168,3149,3149,3148,3148,3100,3100,3097,3097,3096,3096,3089,3089,3080,3080,3078,3078,3068,3068,3060,3060,3006,3006,2968,2968,2926,2926,2895,2895,2850,2850,2841,2841,2834,2834,2822,2822,2749,2749,2746,2746,2737,2737,2720,2720,2694,2694,2653,2653,2589,2589,2587,2587,2579,2579,2574,2574,2567,2567,2564,2564,2555,2555,2532,2532,2529,2529,2522,2522,2513,2513,2508,2508,2505,2505,2498,2498,2495,2495,2475,2475,2468,2468,2460,2460,2459,2459,2458,2458,2404,2404,2394,2394,2377,2377,2333,2333,2330,2330,2326,2326,2322,2322,2298,2298,2294,2294,2283,2283,2275,2275,2270,2270,2259,2259,2235,2235,2214,2214,2201,2201,2195,2195,2191,2191,2178,2178,2130,2130,2125,2125,2122,2122,2112,2112,2092,2092,2041,2041,2025,2025,1965,1965,1950,1950,1938,1938,1914,1914,1907,1907,1893,1893,1889,1889,1878,1878,1858,1858,1828,1828,1827,1827,1816,1816,1802,1802,1788,1788,1786,1786,1785,1785,1772,1772,1762,1762,1756,1756,1739,1739,1735,1735,1728,1728,1723,1723,1719,1719,1717,1717,1715,1715,1704,1704,1701,1701,1672,1672,1654,1654,1652,1652,1644,1644,1639,1639,1638,1638,1619,1619,1605,1605,1592,1592,1588,1588,1572,1572,1550,1550,1533,1533,1530,1530,1526,1526,1521,1521,1516,1516,1513,1513,0.0],[31396,31396,31396,29912,29912,20314,20314,17711,17711,16678,16678,16035,16035,15953,15953,13399,13399,12327,12327,12023,12023,11966,11966,11785,11785,11649,11649,11439,11439,11044,11044,11023,11023,10847,10847,10634,10634,10615,10615,10429,10429,10392,10392,10377,10377,10298,10298,10296,10296,9995,9995,9891,9891,9810,9810,9672,9672,9640,9640,9610,9610,9605,9605,9511,9511,9434,9434,9402,9402,9359,9359,9233,9233,9128,9128,9105,9105,8989,8989,8940,8940,8541,8541,8238,8238,8228,8228,8197,8197,8164,8164,8121,8121,8093,8093,8025,8025,7919,7919,7654,7654,7567,7567,7561,7561,7453,7453,7369,7369,7364,7364,7235,7235,7148,7148,7121,7121,7082,7082,6996,6996,6880,6880,6847,6847,6836,6836,6821,6821,6768,6768,6757,6757,6679,6679,6668,6668,6618,6618,6584,6584,6543,6543,6533,6533,6503,6503,6464,6464,6390,6390,6362,6362,6336,6336,6327,6327,6275,6275,6229,6229,6184,6184,6107,6107,6098,6098,6006,6006,5945,5945,5912,5912,5881,5881,5868,5868,5743,5743,5737,5737,5708,5708,5656,5656,5570,5570,5568,5568,5548,5548,5533,5533,5519,5519,5504,5504,5469,5469,5406,5406,5399,5399,5396,5396,5389,5389,5361,5361,5359,5359,5355,5355,5208,5208,5160,5160,5126,5126,5091,5091,5087,5087,5070,5070,5008,5008,4973,4973,4889,4889,4878,4878,4876,4876,4788,4788,4778,4778,4776,4776,4772,4772,4754,4754,4702,4702,4683,4683,4669,4669,4663,4663,4641,4641,4605,4605,4597,4597,4543,4543,4536,4536,4519,4519,4500,4500,4496,4496,4485,4485,4424,4424,4396,4396,4361,4361,4352,4352,4222,4222,4203,4203,4116,4116,4113,4113,4108,4108,4094,4094,4081,4081,4079,4079,4031,4031,3968,3968,3955,3955,3938,3938,3926,3926,3914,3914,3912,3912,3887,3887,3879,3879,3844,3844,3832,3832,3776,3776,3771,3771,3770,3770,3769,3769,3750,3750,3728,3728,3679,3679,3674,3674,3673,3673,3653,3653,3606,3606,3601,3601,3597,3597,3572,3572,3564,3564,3549,3549,3522,3522,3508,3508,3505,3505,3490,3490,3464,3464,3460,3460,3456,3456,3455,3455,3446,3446,3418,3418,3393,3393,3358,3358,3300,3300,3280,3280,3275,3275,3202,3202,3192,3192,3126,3126,3124,3124,3113,3113,3069,3069,3065,3065,3050,3050,3031,3031,3020,3020,3012,3012,3011,3011,2993,2993,2987,2987,2971,2971,2958,2958,2943,2943,2922,2922,2911,2911,2908,2908,2897,2897,2895,2895,2850,2850,2809,2809,2801,2801,2797,2797,2780,2780,2773,2773,2754,2754,2734,2734,2733,2733,2731,2731,2719,2719,2718,2718,2715,2715,2697,2697,2675,2675,2665,2665,2662,2662,2648,2648,2592,2592,2582,2582,2568,2568,2565,2565,2557,2557,2553,2553,2511,2511,2478,2478,2477,2477,2468,2468,2461,2461,2439,2439,2430,2430,2413,2413,2411,2411,2378,2378,2371,2371,2369,2369,2360,2360,2359,2359,2355,2355,2347,2347,2320,2320,2319,2319,2314,2314,2286,2286,2239,2239,2238,2238,2217,2217,2211,2211,2193,2193,2176,2176,2163,2163,2142,2142,2124,2124,2112,2112,2105,2105,2082,2082,2050,2050,2048,2048,2041,2041,2027,2027,2026,2026,2015,2015,2009,2009,2005,2005,2000,2000,1996,1996,1990,1990,1988,1988,1984,1984,1962,1962,1941,1941,1940,1940,1939,1939,1920,1920,1915,1915,1904,1904,1897,1897,1891,1891,1888,1888,1883,1883,1876,1876,1869,1869,1866,1866,1860,1860,1850,1850,1824,1824,1817,1817,1808,1808,1805,1805,1800,1800,1793,1793,1785,1785,1774,1774,1768,1768,1767,1767,1737,1737,1732,1732,1730,1730,1725,1725,1722,1722,1710,1710,1664,1664,1650,1650,1639,1639,1635,1635,1608,1608,1603,1603,1601,1601,1591,1591,1563,1563,1557,1557,1549,1549,1547,1547,1537,1537,1512,1512,0.0],[10105,10105,10105,6612,6612,6395,6395,6164,6164,5417,5417,5322,5322,5145,5145,4977,4977,4972,4972,4947,4947,4827,4827,4782,4782,4659,4659,4643,4643,4547,4547,4539,4539,4461,4461,4288,4288,4277,4277,4193,4193,4179,4179,4175,4175,4134,4134,4133,4133,4113,4113,4108,4108,4056,4056,4044,4044,4042,4042,4022,4022,4003,4003,3991,3991,3983,3983,3976,3976,3965,3965,3937,3937,3928,3928,3904,3904,3864,3864,3823,3823,3805,3805,3790,3790,3789,3789,3784,3784,3711,3711,3699,3699,3680,3680,3677,3677,3671,3671,3648,3648,3615,3615,3608,3608,3573,3573,3570,3570,3517,3517,3485,3485,3476,3476,3457,3457,3421,3421,3383,3383,3357,3357,3351,3351,3346,3346,3345,3345,3344,3344,3319,3319,3297,3297,3232,3232,3206,3206,3198,3198,3197,3197,3192,3192,3175,3175,3165,3165,3164,3164,3116,3116,3115,3115,3106,3106,3103,3103,3101,3101,3096,3096,3094,3094,3088,3088,3061,3061,3055,3055,3053,3053,3041,3041,3040,3040,3029,3029,3028,3028,2996,2996,2994,2994,2990,2990,2987,2987,2981,2981,2977,2977,2967,2967,2961,2961,2935,2935,2929,2929,2914,2914,2904,2904,2872,2872,2860,2860,2847,2847,2829,2829,2812,2812,2807,2807,2800,2800,2795,2795,2793,2793,2790,2790,2788,2788,2783,2783,2782,2782,2755,2755,2754,2754,2719,2719,2700,2700,2698,2698,2695,2695,2694,2694,2692,2692,2687,2687,2655,2655,2653,2653,2647,2647,2645,2645,2617,2617,2612,2612,2606,2606,2598,2598,2596,2596,2595,2595,2575,2575,2573,2573,2570,2570,2569,2569,2536,2536,2514,2514,2511,2511,2508,2508,2478,2478,2474,2474,2470,2470,2455,2455,2452,2452,2448,2448,2444,2444,2429,2429,2426,2426,2423,2423,2403,2403,2400,2400,2395,2395,2380,2380,2378,2378,2370,2370,2365,2365,2341,2341,2335,2335,2332,2332,2325,2325,2311,2311,2307,2307,2306,2306,2295,2295,2292,2292,2288,2288,2279,2279,2261,2261,2224,2224,2212,2212,2211,2211,2210,2210,2208,2208,2206,2206,2197,2197,2192,2192,2191,2191,2186,2186,2172,2172,2157,2157,2147,2147,2145,2145,2134,2134,2122,2122,2110,2110,2109,2109,2107,2107,2104,2104,2100,2100,2089,2089,2087,2087,2085,2085,2079,2079,2077,2077,2076,2076,2074,2074,2066,2066,2056,2056,2054,2054,2051,2051,2050,2050,2048,2048,2042,2042,2037,2037,2036,2036,2031,2031,2026,2026,2015,2015,2014,2014,2013,2013,2011,2011,2007,2007,2005,2005,2001,2001,2000,2000,1997,1997,1985,1985,1977,1977,1976,1976,1962,1962,1961,1961,1956,1956,1955,1955,1947,1947,1946,1946,1945,1945,1941,1941,1937,1937,1936,1936,1934,1934,1932,1932,1910,1910,1909,1909,1906,1906,1905,1905,1902,1902,1898,1898,1897,1897,1895,1895,1890,1890,1883,1883,1879,1879,1878,1878,1871,1871,1861,1861,1855,1855,1852,1852,1848,1848,1843,1843,1841,1841,1838,1838,1831,1831,1830,1830,1828,1828,1825,1825,1817,1817,1815,1815,1811,1811,1808,1808,1804,1804,1797,1797,1796,1796,1793,1793,1790,1790,1789,1789,1786,1786,1783,1783,1781,1781,1779,1779,1775,1775,1772,1772,1769,1769,1767,1767,1757,1757,1755,1755,1752,1752,1729,1729,1727,1727,1719,1719,1717,1717,1716,1716,1710,1710,1705,1705,1702,1702,1696,1696,1692,1692,1691,1691,1688,1688,1685,1685,1683,1683,1675,1675,1669,1669,1666,1666,1663,1663,1659,1659,1656,1656,1653,1653,1650,1650,1649,1649,1647,1647,1641,1641,1640,1640,1628,1628,1626,1626,1608,1608,1607,1607,1603,1603,1602,1602,1598,1598,1596,1596,1588,1588,1585,1585,1578,1578,1576,1576,1574,1574,1572,1572,1571,1571,1568,1568,1565,1565,1564,1564,1559,1559,1556,1556,1539,1539,1536,1536,1523,1523,1514,1514,0.0],[58671,58671,58671,40204,40204,29806,29806,26344,26344,26251,26251,25187,25187,22075,22075,21857,21857,21796,21796,20794,20794,20786,20786,20222,20222,20182,20182,20024,20024,19840,19840,19386,19386,18444,18444,18252,18252,17216,17216,16798,16798,16426,16426,15594,15594,15057,15057,14469,14469,14285,14285,14277,14277,14193,14193,14176,14176,14174,14174,13888,13888,13505,13505,13318,13318,12707,12707,12544,12544,12309,12309,12305,12305,12248,12248,12207,12207,12118,12118,12107,12107,12086,12086,11900,11900,11895,11895,11632,11632,11467,11467,11297,11297,11153,11153,11144,11144,11066,11066,10968,10968,10898,10898,10888,10888,10846,10846,10684,10684,10664,10664,10394,10394,10023,10023,9257,9257,9190,9190,9105,9105,8958,8958,8927,8927,8878,8878,8853,8853,8851,8851,8734,8734,8506,8506,8486,8486,8453,8453,8424,8424,8418,8418,8341,8341,8297,8297,8286,8286,8260,8260,8159,8159,8142,8142,8087,8087,8071,8071,8042,8042,7936,7936,7882,7882,7828,7828,7762,7762,7728,7728,7616,7616,7579,7579,7495,7495,7396,7396,7380,7380,7331,7331,7274,7274,7149,7149,7058,7058,6958,6958,6792,6792,6704,6704,6613,6613,6519,6519,6518,6518,6420,6420,6164,6164,6158,6158,6128,6128,6123,6123,5942,5942,5889,5889,5845,5845,5801,5801,5659,5659,5625,5625,5624,5624,5557,5557,5462,5462,5438,5438,5380,5380,5348,5348,5310,5310,5254,5254,5126,5126,5058,5058,4947,4947,4919,4919,4871,4871,4794,4794,4746,4746,4744,4744,4690,4690,4576,4576,4512,4512,4500,4500,4467,4467,4438,4438,4398,4398,4387,4387,4309,4309,4296,4296,4288,4288,4245,4245,4215,4215,4101,4101,4029,4029,4003,4003,3874,3874,3854,3854,3764,3764,3706,3706,3578,3578,3567,3567,3494,3494,3460,3460,3456,3456,3372,3372,3354,3354,3351,3351,3347,3347,3327,3327,3296,3296,3285,3285,3279,3279,3230,3230,3207,3207,3206,3206,3156,3156,3095,3095,3082,3082,2994,2994,2941,2941,2920,2920,2910,2910,2897,2897,2813,2813,2691,2691,2584,2584,2491,2491,2487,2487,2481,2481,2467,2467,2466,2466,2450,2450,2440,2440,2397,2397,2286,2286,2277,2277,2258,2258,2224,2224,2221,2221,2215,2215,2212,2212,2189,2189,2165,2165,2115,2115,2082,2082,2053,2053,2020,2020,1974,1974,1867,1867,1824,1824,1819,1819,1818,1818,1791,1791,1776,1776,1756,1756,1747,1747,1732,1732,1719,1719,1711,1711,1653,1653,1625,1625,1619,1619,1607,1607,1564,1564,1543,1543,1541,1541,1503,1503,0.0],[15759,15759,15759,11470,11470,9987,9987,9532,9532,8909,8909,8901,8901,8823,8823,8546,8546,8459,8459,8233,8233,8187,8187,7671,7671,7620,7620,7582,7582,7513,7513,7494,7494,7367,7367,6915,6915,6912,6912,6850,6850,6763,6763,6701,6701,6689,6689,6664,6664,6481,6481,6453,6453,6343,6343,6079,6079,5827,5827,5753,5753,5705,5705,5673,5673,5553,5553,5524,5524,5470,5470,5448,5448,5441,5441,5393,5393,5311,5311,5263,5263,5156,5156,5103,5103,5077,5077,5006,5006,5002,5002,4944,4944,4942,4942,4924,4924,4888,4888,4883,4883,4866,4866,4763,4763,4753,4753,4729,4729,4712,4712,4708,4708,4707,4707,4646,4646,4632,4632,4593,4593,4568,4568,4534,4534,4528,4528,4521,4521,4467,4467,4357,4357,4334,4334,4328,4328,4310,4310,4283,4283,4250,4250,4241,4241,4219,4219,4210,4210,4205,4205,4202,4202,4198,4198,4177,4177,4165,4165,4136,4136,4084,4084,4045,4045,4038,4038,4016,4016,4010,4010,4000,4000,3985,3985,3960,3960,3938,3938,3932,3932,3874,3874,3852,3852,3845,3845,3835,3835,3831,3831,3820,3820,3803,3803,3799,3799,3795,3795,3768,3768,3756,3756,3744,3744,3730,3730,3711,3711,3706,3706,3662,3662,3635,3635,3618,3618,3616,3616,3599,3599,3598,3598,3596,3596,3583,3583,3581,3581,3511,3511,3507,3507,3484,3484,3462,3462,3452,3452,3434,3434,3398,3398,3397,3397,3393,3393,3389,3389,3351,3351,3339,3339,3335,3335,3315,3315,3307,3307,3284,3284,3274,3274,3258,3258,3254,3254,3252,3252,3248,3248,3234,3234,3220,3220,3219,3219,3217,3217,3216,3216,3199,3199,3186,3186,3174,3174,3148,3148,3138,3138,3129,3129,3105,3105,3100,3100,3097,3097,3083,3083,3081,3081,3064,3064,3044,3044,3041,3041,3025,3025,3022,3022,3007,3007,2994,2994,2991,2991,2941,2941,2938,2938,2935,2935,2928,2928,2912,2912,2899,2899,2876,2876,2872,2872,2864,2864,2852,2852,2818,2818,2815,2815,2811,2811,2807,2807,2804,2804,2797,2797,2789,2789,2784,2784,2783,2783,2773,2773,2758,2758,2754,2754,2704,2704,2702,2702,2697,2697,2695,2695,2691,2691,2685,2685,2683,2683,2677,2677,2673,2673,2646,2646,2638,2638,2618,2618,2617,2617,2605,2605,2597,2597,2582,2582,2581,2581,2570,2570,2553,2553,2549,2549,2547,2547,2544,2544,2538,2538,2529,2529,2508,2508,2505,2505,2501,2501,2494,2494,2491,2491,2489,2489,2483,2483,2474,2474,2473,2473,2470,2470,2468,2468,2463,2463,2460,2460,2456,2456,2447,2447,2445,2445,2412,2412,2411,2411,2410,2410,2405,2405,2374,2374,2370,2370,2344,2344,2338,2338,2335,2335,2315,2315,2309,2309,2306,2306,2304,2304,2297,2297,2290,2290,2279,2279,2273,2273,2267,2267,2265,2265,2255,2255,2244,2244,2232,2232,2229,2229,2227,2227,2201,2201,2191,2191,2189,2189,2167,2167,2165,2165,2164,2164,2153,2153,2144,2144,2140,2140,2135,2135,2134,2134,2132,2132,2116,2116,2110,2110,2109,2109,2103,2103,2102,2102,2090,2090,2089,2089,2088,2088,2087,2087,2085,2085,2084,2084,2078,2078,2077,2077,2076,2076,2069,2069,2068,2068,2066,2066,2058,2058,2052,2052,2051,2051,2049,2049,2040,2040,2035,2035,2026,2026,2021,2021,2009,2009,1972,1972,1963,1963,1961,1961,1951,1951,1942,1942,1941,1941,1938,1938,1937,1937,1934,1934,1916,1916,1909,1909,1903,1903,1880,1880,1877,1877,1873,1873,1872,1872,1870,1870,1859,1859,1852,1852,1845,1845,1842,1842,1837,1837,1834,1834,1824,1824,1822,1822,1820,1820,1807,1807,1802,1802,1799,1799,1795,1795,1793,1793,1785,1785,1783,1783,1782,1782,1770,1770,1756,1756,1752,1752,1751,1751,1746,1746,1745,1745,1722,1722,1716,1716,1714,1714,1711,1711,1705,1705,1702,1702,1692,1692,1689,1689,1688,1688,1686,1686,1685,1685,1682,1682,1668,1668,1666,1666,1663,1663,1660,1660,1656,1656,1654,1654,1649,1649,1643,1643,1630,1630,1628,1628,1622,1622,1618,1618,1615,1615,1614,1614,1613,1613,1610,1610,1605,1605,1601,1601,1600,1600,1599,1599,1598,1598,1594,1594,1592,1592,1586,1586,1582,1582,1581,1581,1573,1573,1571,1571,1567,1567,1566,1566,1558,1558,1557,1557,1554,1554,1540,1540,1534,1534,1532,1532,1531,1531,1519,1519,1518,1518,1511,1511,1509,1509,1501,1501,0.0],[65535,65535,65535,60052,60052,58737,58737,57086,57086,55943,55943,52531,52531,52156,52156,51981,51981,49888,49888,49641,49641,46429,46429,40777,40777,40552,40552,39146,39146,37388,37388,36925,36925,36002,36002,33484,33484,32093,32093,30909,30909,28072,28072,27447,27447,27122,27122,26055,26055,25972,25972,24641,24641,24512,24512,23778,23778,23507,23507,22399,22399,21827,21827,21703,21703,21278,21278,20788,20788,20586,20586,20247,20247,20149,20149,19647,19647,19117,19117,19096,19096,18419,18419,16780,16780,13667,13667,13586,13586,13348,13348,13131,13131,12932,12932,12560,12560,10896,10896,10070,10070,9914,9914,9503,9503,9483,9483,8860,8860,8514,8514,7877,7877,7208,7208,6635,6635,6627,6627,6475,6475,6270,6270,5931,5931,5707,5707,5653,5653,5338,5338,5295,5295,5096,5096,5063,5063,4709,4709,4593,4593,4142,4142,3779,3779,3657,3657,3617,3617,3390,3390,3293,3293,3257,3257,3119,3119,3070,3070,2708,2708,2642,2642,2211,2211,2090,2090,2005,2005,1973,1973,1810,1810,1803,1803,1564,1564,0.0],[163882,163882,163882,147612,147612,135427,135427,107261,107261,105640,105640,91813,91813,91117,91117,83979,83979,79632,79632,62971,62971,61464,61464,60158,60158,57926,57926,46088,46088,24734,24734,24643,24643,24154,24154,24131,24131,22405,22405,21441,21441,16056,16056,14629,14629,13602,13602,10753,10753,7082,7082,5625,5625,3617,3617,2658,2658,2024,2024,0.0],[142126,142126,142126,135599,135599,116519,116519,115258,115258,107710,107710,106037,106037,89963,89963,86370,86370,83684,83684,72229,72229,60331,60331,55889,55889,55462,55462,53508,53508,49295,49295,46344,46344,36364,36364,27021,27021,26669,26669,24813,24813,23945,23945,22545,22545,22013,22013,21613,21613,20680,20680,20428,20428,18535,18535,14800,14800,13774,13774,11743,11743,11353,11353,7715,7715,6117,6117,5750,5750,4130,4130,2228,2228,2174,2174,2037,2037,0.0],[163883,163883,163883,146585,146585,135429,135429,127343,127343,105640,105640,100360,100360,97930,97930,89522,89522,75634,75634,74452,74452,61466,61466,58430,58430,54497,54497,49328,49328,36271,36271,33825,33825,33582,33582,29921,29921,26845,26845,24737,24737,24677,24677,24641,24641,22304,22304,21736,21736,20985,20985,14629,14629,13602,13602,12237,12237,10702,10702,9511,9511,9463,9463,6615,6615,5625,5625,1723,1723,0.0],[13445,13445,13445,11030,11030,9232,9232,8430,8430,8323,8323,8293,8293,8115,8115,8068,8068,7924,7924,7890,7890,7638,7638,7616,7616,7603,7603,7396,7396,7377,7377,7283,7283,7165,7165,7159,7159,6852,6852,6790,6790,6706,6706,6647,6647,6646,6646,6605,6605,6581,6581,6573,6573,6477,6477,6475,6475,6394,6394,6347,6347,6273,6273,6260,6260,6129,6129,6089,6089,6040,6040,6002,6002,5923,5923,5746,5746,5678,5678,5661,5661,5647,5647,5583,5583,5581,5581,5494,5494,5453,5453,5348,5348,5341,5341,5306,5306,5287,5287,5185,5185,5174,5174,5162,5162,5136,5136,4990,4990,4951,4951,4839,4839,4835,4835,4817,4817,4754,4754,4693,4693,4668,4668,4657,4657,4655,4655,4623,4623,4595,4595,4520,4520,4441,4441,4424,4424,4319,4319,4318,4318,4317,4317,4313,4313,4275,4275,4270,4270,4264,4264,4213,4213,4188,4188,4164,4164,4101,4101,4025,4025,4013,4013,3970,3970,3956,3956,3953,3953,3926,3926,3919,3919,3888,3888,3873,3873,3860,3860,3849,3849,3845,3845,3816,3816,3797,3797,3781,3781,3767,3767,3758,3758,3753,3753,3726,3726,3686,3686,3672,3672,3661,3661,3644,3644,3637,3637,3617,3617,3598,3598,3574,3574,3530,3530,3528,3528,3526,3526,3496,3496,3460,3460,3432,3432,3425,3425,3381,3381,3379,3379,3376,3376,3351,3351,3346,3346,3344,3344,3333,3333,3291,3291,3288,3288,3243,3243,3232,3232,3219,3219,3218,3218,3201,3201,3164,3164,3156,3156,3149,3149,3089,3089,3081,3081,3048,3048,3026,3026,3020,3020,3013,3013,2998,2998,2966,2966,2964,2964,2962,2962,2956,2956,2950,2950,2902,2902,2895,2895,2893,2893,2886,2886,2870,2870,2857,2857,2853,2853,2852,2852,2822,2822,2821,2821,2820,2820,2790,2790,2788,2788,2768,2768,2765,2765,2756,2756,2734,2734,2707,2707,2705,2705,2703,2703,2691,2691,2658,2658,2655,2655,2652,2652,2648,2648,2647,2647,2630,2630,2615,2615,2597,2597,2586,2586,2570,2570,2565,2565,2561,2561,2556,2556,2552,2552,2550,2550,2549,2549,2544,2544,2531,2531,2521,2521,2518,2518,2495,2495,2478,2478,2468,2468,2458,2458,2456,2456,2433,2433,2428,2428,2424,2424,2411,2411,2408,2408,2386,2386,2378,2378,2373,2373,2364,2364,2363,2363,2362,2362,2346,2346,2327,2327,2304,2304,2303,2303,2297,2297,2294,2294,2285,2285,2269,2269,2260,2260,2253,2253,2252,2252,2243,2243,2236,2236,2235,2235,2223,2223,2220,2220,2215,2215,2213,2213,2211,2211,2206,2206,2204,2204,2187,2187,2182,2182,2180,2180,2170,2170,2164,2164,2161,2161,2158,2158,2155,2155,2141,2141,2132,2132,2125,2125,2123,2123,2104,2104,2092,2092,2077,2077,2074,2074,2062,2062,2053,2053,2046,2046,2042,2042,2028,2028,2019,2019,2010,2010,2003,2003,2000,2000,1992,1992,1986,1986,1982,1982,1981,1981,1974,1974,1953,1953,1950,1950,1942,1942,1939,1939,1930,1930,1927,1927,1913,1913,1912,1912,1906,1906,1905,1905,1897,1897,1895,1895,1884,1884,1874,1874,1870,1870,1855,1855,1852,1852,1849,1849,1837,1837,1821,1821,1819,1819,1816,1816,1815,1815,1802,1802,1801,1801,1798,1798,1790,1790,1782,1782,1774,1774,1770,1770,1769,1769,1764,1764,1762,1762,1756,1756,1754,1754,1736,1736,1733,1733,1724,1724,1723,1723,1722,1722,1720,1720,1718,1718,1715,1715,1711,1711,1701,1701,1693,1693,1690,1690,1679,1679,1670,1670,1669,1669,1654,1654,1649,1649,1640,1640,1638,1638,1635,1635,1634,1634,1631,1631,1627,1627,1626,1626,1624,1624,1623,1623,1620,1620,1618,1618,1615,1615,1614,1614,1612,1612,1611,1611,1607,1607,1599,1599,1587,1587,1586,1586,1583,1583,1572,1572,1570,1570,1568,1568,1564,1564,1557,1557,1552,1552,1536,1536,1532,1532,1528,1528,1522,1522,1518,1518,1517,1517,1515,1515,1510,1510,1504,1504,0.0],[20314,20314,20314,19376,19376,15562,15562,13821,13821,12801,12801,12450,12450,12440,12440,12145,12145,12036,12036,11715,11715,11640,11640,11453,11453,11336,11336,10946,10946,10875,10875,10517,10517,10258,10258,9836,9836,9818,9818,9798,9798,9695,9695,9663,9663,9499,9499,9465,9465,9187,9187,8897,8897,8728,8728,8723,8723,8701,8701,8668,8668,8471,8471,8119,8119,8076,8076,8032,8032,7951,7951,7914,7914,7893,7893,7876,7876,7385,7385,7343,7343,7201,7201,7196,7196,7117,7117,7095,7095,7076,7076,7069,7069,7031,7031,6930,6930,6798,6798,6774,6774,6736,6736,6525,6525,6221,6221,6219,6219,6189,6189,6109,6109,6084,6084,6043,6043,6025,6025,6023,6023,5998,5998,5976,5976,5950,5950,5853,5853,5829,5829,5803,5803,5763,5763,5745,5745,5705,5705,5699,5699,5681,5681,5673,5673,5549,5549,5446,5446,5400,5400,5386,5386,5324,5324,5287,5287,5223,5223,5195,5195,5182,5182,5072,5072,5066,5066,5007,5007,5002,5002,4970,4970,4957,4957,4901,4901,4876,4876,4850,4850,4825,4825,4811,4811,4809,4809,4747,4747,4716,4716,4690,4690,4644,4644,4624,4624,4609,4609,4574,4574,4558,4558,4549,4549,4536,4536,4532,4532,4516,4516,4495,4495,4494,4494,4453,4453,4372,4372,4351,4351,4332,4332,4313,4313,4310,4310,4289,4289,4284,4284,4250,4250,4241,4241,4222,4222,4193,4193,4174,4174,4155,4155,4151,4151,4132,4132,4096,4096,4093,4093,4086,4086,4049,4049,4041,4041,4028,4028,3991,3991,3981,3981,3978,3978,3975,3975,3955,3955,3949,3949,3944,3944,3907,3907,3895,3895,3882,3882,3872,3872,3853,3853,3847,3847,3833,3833,3797,3797,3775,3775,3761,3761,3747,3747,3740,3740,3729,3729,3711,3711,3695,3695,3690,3690,3663,3663,3645,3645,3641,3641,3631,3631,3630,3630,3609,3609,3538,3538,3522,3522,3513,3513,3481,3481,3463,3463,3458,3458,3454,3454,3427,3427,3422,3422,3372,3372,3352,3352,3341,3341,3336,3336,3281,3281,3265,3265,3251,3251,3192,3192,3185,3185,3168,3168,3160,3160,3146,3146,3142,3142,3131,3131,3127,3127,3103,3103,3097,3097,3094,3094,3082,3082,3067,3067,3061,3061,3055,3055,3032,3032,3020,3020,3014,3014,2996,2996,2991,2991,2960,2960,2955,2955,2931,2931,2915,2915,2912,2912,2906,2906,2892,2892,2857,2857,2839,2839,2838,2838,2817,2817,2816,2816,2800,2800,2798,2798,2781,2781,2767,2767,2765,2765,2746,2746,2744,2744,2735,2735,2707,2707,2695,2695,2694,2694,2661,2661,2660,2660,2653,2653,2648,2648,2643,2643,2641,2641,2614,2614,2611,2611,2608,2608,2606,2606,2586,2586,2582,2582,2580,2580,2570,2570,2565,2565,2553,2553,2551,2551,2524,2524,2515,2515,2509,2509,2508,2508,2507,2507,2467,2467,2451,2451,2447,2447,2434,2434,2422,2422,2419,2419,2405,2405,2397,2397,2394,2394,2380,2380,2374,2374,2367,2367,2345,2345,2343,2343,2336,2336,2313,2313,2291,2291,2272,2272,2262,2262,2219,2219,2185,2185,2184,2184,2181,2181,2179,2179,2164,2164,2155,2155,2142,2142,2123,2123,2116,2116,2107,2107,2089,2089,2079,2079,2073,2073,2072,2072,2059,2059,2049,2049,2039,2039,2029,2029,2011,2011,1992,1992,1946,1946,1942,1942,1933,1933,1916,1916,1905,1905,1888,1888,1877,1877,1844,1844,1842,1842,1824,1824,1823,1823,1809,1809,1802,1802,1800,1800,1799,1799,1797,1797,1784,1784,1770,1770,1738,1738,1732,1732,1731,1731,1729,1729,1702,1702,1696,1696,1693,1693,1668,1668,1636,1636,1622,1622,1606,1606,1584,1584,1582,1582,1581,1581,1580,1580,1574,1574,1569,1569,1554,1554,1550,1550,1549,1549,1542,1542,1538,1538,1528,1528,1524,1524,1516,1516,1514,1514,1505,1505,1504,1504,0.0],[13680,13680,13680,13172,13172,12529,12529,10778,10778,10137,10137,9615,9615,9508,9508,9494,9494,8610,8610,8384,8384,8312,8312,8184,8184,8093,8093,7988,7988,7884,7884,7866,7866,7843,7843,7528,7528,7523,7523,7450,7450,7380,7380,7364,7364,7082,7082,7005,7005,6957,6957,6743,6743,6730,6730,6458,6458,6456,6456,6288,6288,6269,6269,6241,6241,6213,6213,6143,6143,6111,6111,6091,6091,6044,6044,5992,5992,5860,5860,5645,5645,5640,5640,5575,5575,5564,5564,5561,5561,5430,5430,5302,5302,5163,5163,5106,5106,5089,5089,5039,5039,5022,5022,5016,5016,4993,4993,4982,4982,4978,4978,4934,4934,4845,4845,4806,4806,4777,4777,4774,4774,4744,4744,4740,4740,4702,4702,4692,4692,4675,4675,4670,4670,4649,4649,4641,4641,4607,4607,4548,4548,4479,4479,4474,4474,4472,4472,4467,4467,4446,4446,4426,4426,4398,4398,4335,4335,4276,4276,4237,4237,4195,4195,4171,4171,4143,4143,4109,4109,4087,4087,3987,3987,3957,3957,3864,3864,3824,3824,3811,3811,3768,3768,3745,3745,3718,3718,3713,3713,3699,3699,3696,3696,3685,3685,3670,3670,3663,3663,3639,3639,3637,3637,3626,3626,3589,3589,3570,3570,3559,3559,3557,3557,3555,3555,3517,3517,3515,3515,3350,3350,3326,3326,3314,3314,3259,3259,3251,3251,3244,3244,3243,3243,3237,3237,3199,3199,3194,3194,3186,3186,3147,3147,3144,3144,3110,3110,3105,3105,3101,3101,3095,3095,3066,3066,3057,3057,3054,3054,3039,3039,3033,3033,3008,3008,2985,2985,2982,2982,2979,2979,2942,2942,2938,2938,2874,2874,2869,2869,2868,2868,2853,2853,2839,2839,2828,2828,2806,2806,2796,2796,2781,2781,2768,2768,2763,2763,2747,2747,2694,2694,2659,2659,2650,2650,2648,2648,2641,2641,2603,2603,2556,2556,2523,2523,2491,2491,2471,2471,2447,2447,2422,2422,2379,2379,2378,2378,2368,2368,2356,2356,2329,2329,2327,2327,2326,2326,2318,2318,2279,2279,2276,2276,2263,2263,2246,2246,2241,2241,2226,2226,2218,2218,2208,2208,2190,2190,2168,2168,2152,2152,2150,2150,2147,2147,2146,2146,2092,2092,2069,2069,2061,2061,2037,2037,2035,2035,2034,2034,2002,2002,1979,1979,1970,1970,1969,1969,1952,1952,1942,1942,1910,1910,1901,1901,1896,1896,1883,1883,1876,1876,1853,1853,1828,1828,1826,1826,1812,1812,1781,1781,1779,1779,1763,1763,1752,1752,1748,1748,1736,1736,1734,1734,1728,1728,1708,1708,1700,1700,1689,1689,1684,1684,1678,1678,1662,1662,1659,1659,1657,1657,1656,1656,1650,1650,1648,1648,1632,1632,1620,1620,1612,1612,1610,1610,1604,1604,1589,1589,1584,1584,1577,1577,1562,1562,1559,1559,1554,1554,1535,1535,1527,1527,1520,1520,1517,1517,1507,1507,1504,1504,1500,1500,0.0],[152233,152233,152233,91820,91820,69177,69177,65065,65065,63145,63145,56099,56099,53410,53410,52240,52240,48192,48192,46527,46527,44445,44445,44130,44130,37682,37682,36430,36430,35280,35280,31743,31743,31305,31305,28285,28285,27322,27322,24643,24643,23661,23661,22928,22928,22231,22231,21602,21602,21089,21089,20862,20862,19270,19270,16700,16700,16127,16127,14529,14529,13650,13650,13418,13418,12027,12027,11250,11250,10662,10662,9975,9975,9936,9936,9867,9867,9147,9147,8674,8674,8506,8506,8270,8270,8208,8208,7905,7905,7888,7888,7007,7007,6998,6998,5863,5863,5642,5642,5456,5456,5034,5034,4725,4725,3340,3340,2355,2355,2144,2144,2059,2059,1997,1997,1925,1925,1880,1880,1685,1685,1676,1676,0.0],[106042,106042,106042,69757,69757,59154,59154,54708,54708,50530,50530,48546,48546,48104,48104,46889,46889,46490,46490,45800,45800,44864,44864,41528,41528,40556,40556,40312,40312,35475,35475,32034,32034,31305,31305,30229,30229,29501,29501,28684,28684,28073,28073,27873,27873,26861,26861,25553,25553,24643,24643,21543,21543,20360,20360,20338,20338,18719,18719,18484,18484,17902,17902,17327,17327,16775,16775,16339,16339,15872,15872,15563,15563,13651,13651,13382,13382,13079,13079,12920,12920,12498,12498,12194,12194,12067,12067,11166,11166,10911,10911,10861,10861,10750,10750,10628,10628,10557,10557,10322,10322,10230,10230,9869,9869,8080,8080,8079,8079,7888,7888,7719,7719,7309,7309,6982,6982,6973,6973,6927,6927,6713,6713,6625,6625,6292,6292,6082,6082,5679,5679,5589,5589,5456,5456,5429,5429,5376,5376,5171,5171,5110,5110,4597,4597,4043,4043,4020,4020,3853,3853,3776,3776,3557,3557,3533,3533,3449,3449,3437,3437,3272,3272,2889,2889,2848,2848,2828,2828,2739,2739,2700,2700,2591,2591,2511,2511,2435,2435,2397,2397,2341,2341,2068,2068,2036,2036,2016,2016,2010,2010,1676,1676,1549,1549,0.0],[68465,68465,68465,65417,65417,46376,46376,42924,42924,42713,42713,42413,42413,40225,40225,38151,38151,32922,32922,30679,30679,26245,26245,26201,26201,25169,25169,24644,24644,24508,24508,23547,23547,22060,22060,21381,21381,21287,21287,20170,20170,19956,19956,18785,18785,18294,18294,18209,18209,17430,17430,17281,17281,17238,17238,17130,17130,15701,15701,15321,15321,14854,14854,14567,14567,13651,13651,13294,13294,12957,12957,12714,12714,11734,11734,11455,11455,10104,10104,9635,9635,9304,9304,9155,9155,8754,8754,8610,8610,8355,8355,8074,8074,7891,7891,7811,7811,7690,7690,7581,7581,7580,7580,7354,7354,7156,7156,7152,7152,7094,7094,6833,6833,6761,6761,6659,6659,6603,6603,6520,6520,6344,6344,6173,6173,6077,6077,6063,6063,5882,5882,5877,5877,5807,5807,5794,5794,5793,5793,5696,5696,5456,5456,5332,5332,5295,5295,5251,5251,5166,5166,5154,5154,5097,5097,4965,4965,4809,4809,4774,4774,4655,4655,4538,4538,4406,4406,4374,4374,4247,4247,4190,4190,4143,4143,4051,4051,4039,4039,3956,3956,3940,3940,3903,3903,3844,3844,3842,3842,3679,3679,3667,3667,3587,3587,3555,3555,3523,3523,3518,3518,3380,3380,3379,3379,3281,3281,3234,3234,3222,3222,3122,3122,3090,3090,3021,3021,2982,2982,2949,2949,2930,2930,2812,2812,2784,2784,2761,2761,2743,2743,2704,2704,2637,2637,2620,2620,2573,2573,2560,2560,2500,2500,2443,2443,2373,2373,2325,2325,2256,2256,2216,2216,2207,2207,2185,2185,2179,2179,2165,2165,2151,2151,2126,2126,2043,2043,2038,2038,2010,2010,1971,1971,1963,1963,1954,1954,1930,1930,1909,1909,1896,1896,1868,1868,1864,1864,1844,1844,1836,1836,1802,1802,1752,1752,1680,1680,1602,1602,1595,1595,1587,1587,1571,1571,1559,1559,1549,1549,1541,1541,1515,1515,0.0],[26354,26354,26354,23582,23582,22669,22669,22305,22305,20471,20471,20331,20331,17644,17644,16973,16973,16536,16536,16024,16024,15512,15512,14929,14929,14575,14575,14245,14245,13675,13675,13561,13561,12970,12970,12836,12836,12605,12605,12600,12600,11960,11960,11756,11756,11505,11505,11392,11392,11272,11272,11178,11178,11057,11057,10941,10941,10876,10876,10768,10768,10689,10689,10553,10553,10506,10506,10396,10396,10126,10126,10034,10034,9952,9952,9625,9625,9106,9106,9048,9048,8912,8912,8888,8888,8829,8829,8762,8762,8751,8751,8457,8457,8376,8376,8212,8212,8153,8153,7977,7977,7901,7901,7887,7887,7832,7832,7766,7766,7393,7393,7368,7368,7232,7232,6986,6986,6980,6980,6899,6899,6892,6892,6615,6615,6553,6553,6468,6468,6368,6368,6355,6355,6283,6283,6218,6218,6050,6050,5987,5987,5961,5961,5937,5937,5935,5935,5904,5904,5876,5876,5793,5793,5770,5770,5754,5754,5752,5752,5681,5681,5591,5591,5548,5548,5541,5541,5520,5520,5473,5473,5442,5442,5423,5423,5267,5267,5233,5233,5211,5211,5074,5074,5048,5048,5040,5040,5027,5027,4943,4943,4917,4917,4804,4804,4705,4705,4684,4684,4668,4668,4639,4639,4537,4537,4513,4513,4482,4482,4339,4339,4310,4310,4299,4299,4280,4280,4271,4271,4266,4266,4235,4235,4226,4226,4199,4199,4192,4192,4189,4189,4028,4028,3927,3927,3815,3815,3764,3764,3711,3711,3704,3704,3599,3599,3551,3551,3548,3548,3508,3508,3492,3492,3488,3488,3469,3469,3445,3445,3430,3430,3409,3409,3316,3316,3291,3291,3275,3275,3215,3215,3200,3200,3159,3159,3146,3146,3113,3113,3087,3087,3078,3078,3063,3063,3052,3052,2975,2975,2905,2905,2812,2812,2745,2745,2735,2735,2733,2733,2698,2698,2621,2621,2597,2597,2577,2577,2574,2574,2564,2564,2555,2555,2525,2525,2514,2514,2499,2499,2489,2489,2477,2477,2466,2466,2463,2463,2452,2452,2439,2439,2423,2423,2349,2349,2324,2324,2301,2301,2281,2281,2228,2228,2161,2161,2151,2151,2136,2136,2119,2119,2110,2110,2094,2094,2069,2069,1989,1989,1964,1964,1935,1935,1928,1928,1921,1921,1906,1906,1898,1898,1894,1894,1888,1888,1886,1886,1878,1878,1866,1866,1836,1836,1834,1834,1786,1786,1757,1757,1742,1742,1729,1729,1725,1725,1713,1713,1708,1708,1702,1702,1696,1696,1695,1695,1682,1682,1673,1673,1659,1659,1658,1658,1651,1651,1645,1645,1617,1617,1616,1616,1615,1615,1602,1602,1598,1598,1595,1595,1574,1574,1567,1567,1562,1562,1559,1559,1548,1548,1543,1543,1537,1537,1527,1527,1524,1524,1503,1503,0.0],[271388,271388,271388,171982,171982,160659,160659,137951,137951,135339,135339,131829,131829,98384,98384,81321,81321,74231,74231,54739,54739,54264,54264,51729,51729,39398,39398,39181,39181,37860,37860,29799,29799,25169,25169,24643,24643,13651,13651,10785,10785,6435,6435,5456,5456,2718,2718,1738,1738,0.0],[190316,190316,190316,163103,163103,135337,135337,134242,134242,133060,133060,126479,126479,113693,113693,104961,104961,102038,102038,98338,98338,49284,49284,48408,48408,46502,46502,37863,37863,27518,27518,22379,22379,19353,19353,16179,16179,13467,13467,13418,13418,11013,11013,10434,10434,9025,9025,8817,8817,7979,7979,5456,5456,3818,3818,3156,3156,3031,3031,2319,2319,2051,2051,1612,1612,0.0],[10614,10614,10614,10250,10250,9693,9693,8999,8999,8888,8888,8398,8398,8160,8160,7699,7699,7465,7465,7233,7233,7073,7073,6839,6839,6822,6822,6801,6801,6800,6800,6736,6736,6717,6717,6644,6644,6437,6437,6428,6428,6422,6422,6346,6346,6330,6330,6197,6197,6196,6196,5976,5976,5921,5921,5905,5905,5859,5859,5854,5854,5796,5796,5775,5775,5656,5656,5639,5639,5611,5611,5549,5549,5543,5543,5317,5317,5195,5195,5134,5134,5124,5124,5026,5026,4916,4916,4863,4863,4861,4861,4841,4841,4725,4725,4700,4700,4693,4693,4686,4686,4675,4675,4628,4628,4626,4626,4597,4597,4595,4595,4572,4572,4557,4557,4511,4511,4384,4384,4362,4362,4320,4320,4253,4253,4221,4221,4208,4208,4184,4184,4182,4182,4124,4124,4083,4083,4081,4081,4057,4057,4022,4022,3992,3992,3952,3952,3949,3949,3904,3904,3903,3903,3893,3893,3888,3888,3865,3865,3838,3838,3835,3835,3828,3828,3815,3815,3780,3780,3768,3768,3720,3720,3713,3713,3653,3653,3592,3592,3589,3589,3531,3531,3491,3491,3469,3469,3453,3453,3436,3436,3433,3433,3411,3411,3404,3404,3397,3397,3396,3396,3366,3366,3337,3337,3335,3335,3293,3293,3291,3291,3287,3287,3278,3278,3239,3239,3202,3202,3173,3173,3148,3148,3132,3132,3118,3118,3079,3079,3076,3076,3030,3030,3008,3008,3004,3004,2976,2976,2969,2969,2964,2964,2891,2891,2870,2870,2821,2821,2799,2799,2772,2772,2769,2769,2740,2740,2739,2739,2720,2720,2708,2708,2689,2689,2685,2685,2670,2670,2669,2669,2667,2667,2660,2660,2655,2655,2644,2644,2625,2625,2621,2621,2614,2614,2609,2609,2603,2603,2602,2602,2586,2586,2582,2582,2579,2579,2558,2558,2538,2538,2521,2521,2511,2511,2502,2502,2475,2475,2455,2455,2440,2440,2436,2436,2432,2432,2427,2427,2423,2423,2420,2420,2366,2366,2356,2356,2348,2348,2338,2338,2336,2336,2331,2331,2325,2325,2314,2314,2286,2286,2282,2282,2274,2274,2272,2272,2269,2269,2268,2268,2254,2254,2229,2229,2227,2227,2223,2223,2209,2209,2206,2206,2203,2203,2195,2195,2160,2160,2135,2135,2134,2134,2099,2099,2078,2078,2077,2077,2076,2076,2071,2071,2070,2070,2056,2056,2054,2054,2053,2053,2039,2039,2021,2021,1978,1978,1955,1955,1954,1954,1947,1947,1934,1934,1922,1922,1909,1909,1907,1907,1894,1894,1890,1890,1879,1879,1852,1852,1820,1820,1818,1818,1817,1817,1814,1814,1813,1813,1809,1809,1808,1808,1798,1798,1795,1795,1794,1794,1780,1780,1765,1765,1763,1763,1755,1755,1752,1752,1748,1748,1741,1741,1738,1738,1729,1729,1728,1728,1723,1723,1720,1720,1711,1711,1710,1710,1706,1706,1692,1692,1684,1684,1658,1658,1641,1641,1640,1640,1639,1639,1626,1626,1620,1620,1614,1614,1612,1612,1606,1606,1600,1600,1597,1597,1588,1588,1574,1574,1562,1562,1553,1553,1552,1552,1539,1539,1536,1536,1532,1532,1515,1515,1510,1510,1507,1507,0.0],[62302,62302,62302,54708,54708,49616,49616,48546,48546,46679,46679,46488,46488,39443,39443,39305,39305,37375,37375,31741,31741,31301,31301,31170,31170,29555,29555,29059,29059,28692,28692,27929,27929,27831,27831,25174,25174,24315,24315,23291,23291,21276,21276,21200,21200,20396,20396,20338,20338,20235,20235,19757,19757,17814,17814,17576,17576,16418,16418,16074,16074,15971,15971,15832,15832,15823,15823,15049,15049,14460,14460,14120,14120,13428,13428,12762,12762,12515,12515,12353,12353,12055,12055,11594,11594,11460,11460,11456,11456,11421,11421,10788,10788,10750,10750,10671,10671,10546,10546,10533,10533,10230,10230,9873,9873,9564,9564,9331,9331,9205,9205,8771,8771,8440,8440,7907,7907,7888,7888,7550,7550,7544,7544,6982,6982,6954,6954,6625,6625,6600,6600,6457,6457,6440,6440,6221,6221,6220,6220,6191,6191,6082,6082,6063,6063,5667,5667,5586,5586,5584,5584,5455,5455,5376,5376,5219,5219,5197,5197,4949,4949,4879,4879,4876,4876,4771,4771,4551,4551,4287,4287,4038,4038,3892,3892,3804,3804,3734,3734,3719,3719,3713,3713,3591,3591,3533,3533,3277,3277,3247,3247,3222,3222,2828,2828,2739,2739,2673,2673,2529,2529,2316,2316,2144,2144,2035,2035,2011,2011,1999,1999,1993,1993,1872,1872,1831,1831,1751,1751,1716,1716,1687,1687,1656,1656,1641,1641,1586,1586,1578,1578,1549,1549,0.0],[9224,9224,9224,7938,7938,7742,7742,7426,7426,7069,7069,6569,6569,6148,6148,6053,6053,6022,6022,6008,6008,5908,5908,5758,5758,5708,5708,5596,5596,5537,5537,5372,5372,5300,5300,5249,5249,5145,5145,4943,4943,4930,4930,4871,4871,4665,4665,4662,4662,4617,4617,4562,4562,4481,4481,4473,4473,4435,4435,4398,4398,4304,4304,4224,4224,4161,4161,4157,4157,4096,4096,4088,4088,3961,3961,3929,3929,3925,3925,3921,3921,3878,3878,3817,3817,3780,3780,3767,3767,3742,3742,3707,3707,3697,3697,3660,3660,3621,3621,3612,3612,3593,3593,3565,3565,3538,3538,3518,3518,3463,3463,3456,3456,3452,3452,3403,3403,3396,3396,3378,3378,3367,3367,3363,3363,3356,3356,3337,3337,3287,3287,3270,3270,3254,3254,3253,3253,3249,3249,3246,3246,3244,3244,3227,3227,3158,3158,3147,3147,3144,3144,3139,3139,3132,3132,3115,3115,3090,3090,3089,3089,3047,3047,3036,3036,3014,3014,3004,3004,2988,2988,2973,2973,2966,2966,2964,2964,2960,2960,2944,2944,2893,2893,2888,2888,2885,2885,2873,2873,2862,2862,2807,2807,2802,2802,2793,2793,2782,2782,2776,2776,2771,2771,2769,2769,2754,2754,2753,2753,2752,2752,2739,2739,2736,2736,2734,2734,2712,2712,2708,2708,2705,2705,2700,2700,2681,2681,2675,2675,2674,2674,2649,2649,2648,2648,2631,2631,2626,2626,2623,2623,2612,2612,2609,2609,2592,2592,2568,2568,2558,2558,2556,2556,2533,2533,2529,2529,2520,2520,2508,2508,2507,2507,2493,2493,2488,2488,2481,2481,2472,2472,2447,2447,2434,2434,2426,2426,2416,2416,2413,2413,2409,2409,2407,2407,2405,2405,2394,2394,2388,2388,2383,2383,2362,2362,2359,2359,2358,2358,2355,2355,2354,2354,2341,2341,2311,2311,2304,2304,2301,2301,2297,2297,2288,2288,2280,2280,2278,2278,2275,2275,2272,2272,2270,2270,2269,2269,2260,2260,2252,2252,2250,2250,2237,2237,2230,2230,2229,2229,2228,2228,2227,2227,2210,2210,2202,2202,2181,2181,2180,2180,2177,2177,2175,2175,2172,2172,2168,2168,2165,2165,2154,2154,2151,2151,2149,2149,2142,2142,2141,2141,2138,2138,2133,2133,2130,2130,2128,2128,2123,2123,2121,2121,2119,2119,2111,2111,2107,2107,2091,2091,2085,2085,2079,2079,2078,2078,2074,2074,2066,2066,2063,2063,2062,2062,2060,2060,2050,2050,2045,2045,2044,2044,2041,2041,2030,2030,2024,2024,2019,2019,2018,2018,2017,2017,2005,2005,2002,2002,1986,1986,1985,1985,1983,1983,1977,1977,1966,1966,1962,1962,1960,1960,1949,1949,1932,1932,1924,1924,1922,1922,1921,1921,1918,1918,1916,1916,1901,1901,1896,1896,1887,1887,1881,1881,1868,1868,1867,1867,1859,1859,1857,1857,1856,1856,1855,1855,1843,1843,1839,1839,1823,1823,1819,1819,1818,1818,1812,1812,1811,1811,1809,1809,1801,1801,1795,1795,1792,1792,1789,1789,1783,1783,1781,1781,1778,1778,1774,1774,1760,1760,1759,1759,1755,1755,1752,1752,1746,1746,1742,1742,1741,1741,1736,1736,1731,1731,1729,1729,1726,1726,1725,1725,1719,1719,1718,1718,1715,1715,1712,1712,1707,1707,1704,1704,1699,1699,1690,1690,1688,1688,1684,1684,1682,1682,1676,1676,1658,1658,1657,1657,1651,1651,1650,1650,1646,1646,1642,1642,1638,1638,1632,1632,1630,1630,1626,1626,1623,1623,1610,1610,1607,1607,1606,1606,1602,1602,1598,1598,1597,1597,1595,1595,1589,1589,1587,1587,1585,1585,1583,1583,1582,1582,1575,1575,1567,1567,1565,1565,1561,1561,1557,1557,1555,1555,1551,1551,1544,1544,1543,1543,1539,1539,1530,1530,1529,1529,1521,1521,1516,1516,1513,1513,1511,1511,1504,1504,1503,1503,0.0],[17440,17440,17440,13582,13582,12475,12475,11422,11422,11143,11143,11127,11127,10485,10485,10447,10447,10432,10432,10062,10062,9421,9421,9078,9078,8987,8987,8547,8547,8282,8282,8274,8274,8059,8059,7548,7548,7392,7392,6981,6981,6950,6950,6586,6586,6482,6482,6457,6457,6288,6288,6031,6031,5989,5989,5960,5960,5759,5759,5719,5719,5642,5642,5536,5536,5409,5409,5375,5375,5313,5313,5161,5161,5137,5137,4996,4996,4925,4925,4892,4892,4861,4861,4823,4823,4801,4801,4744,4744,4704,4704,4639,4639,4557,4557,4483,4483,4469,4469,4457,4457,4445,4445,4396,4396,4362,4362,4312,4312,4291,4291,4191,4191,4120,4120,4063,4063,3989,3989,3933,3933,3898,3898,3897,3897,3882,3882,3853,3853,3828,3828,3728,3728,3692,3692,3674,3674,3649,3649,3642,3642,3554,3554,3552,3552,3546,3546,3499,3499,3471,3471,3425,3425,3380,3380,3341,3341,3338,3338,3316,3316,3298,3298,3263,3263,3248,3248,3230,3230,3202,3202,3198,3198,3184,3184,3148,3148,3146,3146,3131,3131,3125,3125,3082,3082,3069,3069,3015,3015,2985,2985,2984,2984,2974,2974,2915,2915,2861,2861,2847,2847,2842,2842,2808,2808,2803,2803,2793,2793,2789,2789,2788,2788,2781,2781,2779,2779,2641,2641,2613,2613,2607,2607,2578,2578,2571,2571,2550,2550,2541,2541,2539,2539,2521,2521,2488,2488,2463,2463,2452,2452,2414,2414,2384,2384,2383,2383,2368,2368,2349,2349,2337,2337,2336,2336,2325,2325,2317,2317,2287,2287,2243,2243,2238,2238,2206,2206,2170,2170,2169,2169,2162,2162,2152,2152,2150,2150,2145,2145,2137,2137,2116,2116,2090,2090,2083,2083,2069,2069,2065,2065,2060,2060,2059,2059,2058,2058,2052,2052,2045,2045,2027,2027,2024,2024,2023,2023,2013,2013,2000,2000,1992,1992,1985,1985,1966,1966,1962,1962,1960,1960,1944,1944,1930,1930,1922,1922,1917,1917,1912,1912,1901,1901,1899,1899,1883,1883,1867,1867,1865,1865,1863,1863,1857,1857,1854,1854,1851,1851,1829,1829,1779,1779,1771,1771,1759,1759,1758,1758,1757,1757,1747,1747,1745,1745,1741,1741,1737,1737,1727,1727,1721,1721,1703,1703,1699,1699,1695,1695,1692,1692,1691,1691,1690,1690,1686,1686,1685,1685,1683,1683,1678,1678,1677,1677,1671,1671,1658,1658,1656,1656,1652,1652,1643,1643,1639,1639,1633,1633,1628,1628,1621,1621,1620,1620,1618,1618,1614,1614,1613,1613,1605,1605,1601,1601,1596,1596,1595,1595,1590,1590,1580,1580,1579,1579,1570,1570,1567,1567,1565,1565,1556,1556,1552,1552,1551,1551,1550,1550,1545,1545,1539,1539,1536,1536,1524,1524,1520,1520,1519,1519,1517,1517,1513,1513,1512,1512,1510,1510,1507,1507,1506,1506,0.0],[85569,85569,85569,84726,84726,83501,83501,71704,71704,67125,67125,65456,65456,54708,54708,49302,49302,48104,48104,45618,45618,45327,45327,40312,40312,38493,38493,31741,31741,30264,30264,24643,24643,21889,21889,20338,20338,19544,19544,18486,18486,17686,17686,17484,17484,17450,17450,17327,17327,17173,17173,17136,17136,15872,15872,14210,14210,13652,13652,13308,13308,13038,13038,12035,12035,11456,11456,11030,11030,11011,11011,10750,10750,10431,10431,10229,10229,10116,10116,8078,8078,8016,8016,7888,7888,6983,6983,6600,6600,6457,6457,5859,5859,5509,5509,5455,5455,5096,5096,3848,3848,3523,3523,3277,3277,2828,2828,2698,2698,2529,2529,2504,2504,2144,2144,2133,2133,1993,1993,1872,1872,1700,1700,1690,1690,1549,1549,1507,1507,0.0],[49275,49275,49275,42451,42451,42009,42009,31546,31546,30795,30795,30727,30727,30443,30443,27462,27462,26734,26734,24643,24643,24582,24582,23858,23858,23840,23840,23744,23744,21324,21324,20692,20692,20002,20002,19569,19569,17428,17428,17221,17221,17208,17208,16974,16974,16782,16782,15162,15162,15096,15096,14971,14971,14939,14939,14877,14877,14459,14459,11804,11804,11503,11503,11303,11303,11159,11159,11030,11030,10785,10785,10426,10426,10263,10263,10230,10230,9852,9852,9692,9692,9550,9550,9329,9329,9320,9320,9135,9135,8886,8886,8142,8142,7882,7882,7747,7747,7664,7664,7161,7161,6964,6964,6616,6616,6463,6463,6257,6257,5723,5723,5506,5506,5456,5456,5376,5376,5266,5266,5185,5185,5179,5179,5075,5075,4946,4946,4642,4642,4481,4481,4297,4297,4258,4258,3873,3873,3840,3840,3529,3529,3466,3466,3249,3249,2984,2984,2949,2949,2698,2698,2577,2577,2500,2500,2423,2423,2177,2177,2161,2161,2152,2152,1948,1948,1920,1920,1912,1912,1874,1874,1836,1836,1769,1769,1752,1752,1608,1608,1564,1564,1501,1501,0.0],[44891,44891,44891,44073,44073,42992,42992,40548,40548,39268,39268,38493,38493,38399,38399,37454,37454,35418,35418,32797,32797,31997,31997,30981,30981,30010,30010,28478,28478,27179,27179,25098,25098,24644,24644,24314,24314,23340,23340,22667,22667,21890,21890,20924,20924,20338,20338,19544,19544,18717,18717,18699,18699,18254,18254,17337,17337,17325,17325,16202,16202,16168,16168,16019,16019,15628,15628,15417,15417,14735,14735,14272,14272,14014,14014,13888,13888,13716,13716,13652,13652,13494,13494,13472,13472,13403,13403,13305,13305,13170,13170,13012,13012,12787,12787,11692,11692,10913,10913,10691,10691,10536,10536,10365,10365,9934,9934,9424,9424,9330,9330,8807,8807,8096,8096,7888,7888,7595,7595,7548,7548,6983,6983,6900,6900,6435,6435,6296,6296,6284,6284,6219,6219,6161,6161,6097,6097,6062,6062,5936,5936,5890,5890,5877,5877,5826,5826,5667,5667,5574,5574,5475,5475,5455,5455,5376,5376,5065,5065,5047,5047,5042,5042,4841,4841,4676,4676,4650,4650,4640,4640,4270,4270,4248,4248,4214,4214,3721,3721,3712,3712,3606,3606,3396,3396,3379,3379,3292,3292,3275,3275,3109,3109,2749,2749,2556,2556,2326,2326,2316,2316,2235,2235,2143,2143,1991,1991,1921,1921,1885,1885,1856,1856,1818,1818,1795,1795,1719,1719,1701,1701,1686,1686,1613,1613,1585,1585,1574,1574,0.0],[47768,47768,47768,45919,45919,32930,32930,31926,31926,31789,31789,29396,29396,28004,28004,26468,26468,26086,26086,25067,25067,24948,24948,24646,24646,23384,23384,22214,22214,20380,20380,20322,20322,19668,19668,19664,19664,18336,18336,18273,18273,18258,18258,18047,18047,17940,17940,17728,17728,16359,16359,16232,16232,16103,16103,14684,14684,14245,14245,13666,13666,13486,13486,11892,11892,11535,11535,11261,11261,11013,11013,10960,10960,10956,10956,10840,10840,9656,9656,9155,9155,8731,8731,8184,8184,7913,7913,7707,7707,7266,7266,7047,7047,7014,7014,6518,6518,5908,5908,5141,5141,5090,5090,4873,4873,4506,4506,4364,4364,4098,4098,3216,3216,3097,3097,3059,3059,2980,2980,2830,2830,2729,2729,2297,2297,2251,2251,2041,2041,1999,1999,1728,1728,0.0],[156203,156203,156203,87138,87138,74869,74869,67123,67123,66987,66987,64317,64317,56663,56663,54697,54697,51288,51288,50713,50713,48119,48119,45620,45620,44987,44987,42576,42576,41060,41060,36750,36750,34927,34927,34115,34115,31827,31827,30483,30483,30032,30032,26087,26087,24776,24776,24643,24643,24532,24532,22825,22825,20116,20116,18489,18489,17447,17447,16074,16074,13652,13652,13505,13505,13360,13360,13000,13000,11395,11395,10557,10557,9347,9347,8962,8962,8506,8506,8155,8155,7888,7888,7526,7526,6927,6927,6894,6894,6648,6648,6625,6625,6057,6057,5964,5964,5922,5922,5493,5493,5486,5486,5456,5456,5066,5066,4862,4862,4678,4678,4641,4641,4553,4553,4463,4463,4304,4304,4287,4287,4207,4207,3713,3713,3527,3527,3277,3277,2848,2848,2548,2548,2529,2529,2515,2515,2507,2507,2498,2498,2458,2458,2327,2327,2316,2316,2299,2299,2285,2285,2115,2115,2068,2068,1992,1992,1817,1817,1774,1774,1697,1697,1580,1580,0.0],[60678,60678,60678,54921,54921,49686,49686,49633,49633,47181,47181,45896,45896,44921,44921,44400,44400,44163,44163,39780,39780,38493,38493,37004,37004,36749,36749,36477,36477,34114,34114,32074,32074,30987,30987,30353,30353,29694,29694,27265,27265,26172,26172,25821,25821,24477,24477,24188,24188,21327,21327,21308,21308,20925,20925,20213,20213,19867,19867,19463,19463,18253,18253,17645,17645,17373,17373,16823,16823,16134,16134,16031,16031,15979,15979,15637,15637,15586,15586,14781,14781,14764,14764,14634,14634,14315,14315,14290,14290,14232,14232,13736,13736,13652,13652,13493,13493,13349,13349,13249,13249,12616,12616,12031,12031,11421,11421,10837,10837,10669,10669,10499,10499,9831,9831,9593,9593,9112,9112,8936,8936,8650,8650,8629,8629,8586,8586,8444,8444,8375,8375,8112,8112,7867,7867,7838,7838,7706,7706,7611,7611,7597,7597,7560,7560,7274,7274,7216,7216,7181,7181,7144,7144,6965,6965,6780,6780,6660,6660,6648,6648,6558,6558,6416,6416,6348,6348,5951,5951,5935,5935,5646,5646,5548,5548,5516,5516,5454,5454,5293,5293,5065,5065,3999,3999,3883,3883,3839,3839,3597,3597,3186,3186,3017,3017,2878,2878,2836,2836,2341,2341,2235,2235,2144,2144,1944,1944,1923,1923,1810,1810,1790,1790,1593,1593,1580,1580,1564,1564,0.0],[18918,18918,18918,18735,18735,16385,16385,16093,16093,13542,13542,12377,12377,12215,12215,12197,12197,11909,11909,11863,11863,11583,11583,11375,11375,10985,10985,10938,10938,9915,9915,9717,9717,9660,9660,9024,9024,8928,8928,8808,8808,8750,8750,8663,8663,8612,8612,8585,8585,8547,8547,8459,8459,8441,8441,8381,8381,8230,8230,8206,8206,8121,8121,8000,8000,7991,7991,7770,7770,7666,7666,7281,7281,7247,7247,7099,7099,7073,7073,7005,7005,6981,6981,6899,6899,6738,6738,6628,6628,6619,6619,6598,6598,6500,6500,6450,6450,6421,6421,6382,6382,6218,6218,6189,6189,6179,6179,6161,6161,6154,6154,6146,6146,6106,6106,6083,6083,6054,6054,6013,6013,5973,5973,5953,5953,5935,5935,5931,5931,5826,5826,5810,5810,5754,5754,5654,5654,5600,5600,5561,5561,5554,5554,5477,5477,5441,5441,5432,5432,5374,5374,5364,5364,5320,5320,5282,5282,5093,5093,5041,5041,5031,5031,5027,5027,4976,4976,4893,4893,4865,4865,4843,4843,4797,4797,4737,4737,4690,4690,4687,4687,4676,4676,4639,4639,4635,4635,4625,4625,4616,4616,4612,4612,4542,4542,4533,4533,4487,4487,4478,4478,4457,4457,4448,4448,4348,4348,4268,4268,4240,4240,4215,4215,4174,4174,4169,4169,4145,4145,3934,3934,3913,3913,3892,3892,3865,3865,3855,3855,3747,3747,3725,3725,3678,3678,3635,3635,3623,3623,3589,3589,3587,3587,3566,3566,3532,3532,3527,3527,3503,3503,3502,3502,3491,3491,3376,3376,3337,3337,3175,3175,3167,3167,3114,3114,3105,3105,3086,3086,3068,3068,3011,3011,2964,2964,2942,2942,2894,2894,2847,2847,2841,2841,2808,2808,2782,2782,2767,2767,2765,2765,2745,2745,2697,2697,2685,2685,2649,2649,2634,2634,2514,2514,2504,2504,2478,2478,2472,2472,2441,2441,2438,2438,2382,2382,2329,2329,2325,2325,2239,2239,2233,2233,2172,2172,2169,2169,2167,2167,2151,2151,2143,2143,2109,2109,2059,2059,2034,2034,2028,2028,2024,2024,2010,2010,2007,2007,1998,1998,1977,1977,1976,1976,1963,1963,1956,1956,1948,1948,1918,1918,1911,1911,1885,1885,1834,1834,1772,1772,1769,1769,1766,1766,1760,1760,1759,1759,1746,1746,1696,1696,1677,1677,1651,1651,1615,1615,1604,1604,1601,1601,1593,1593,1577,1577,1562,1562,1561,1561,1551,1551,1503,1503,0.0],[35744,35744,35744,24650,24650,22573,22573,22322,22322,20527,20527,20129,20129,19659,19659,19489,19489,19277,19277,18378,18378,16889,16889,16600,16600,16535,16535,16504,16504,16338,16338,16156,16156,16052,16052,16043,16043,15882,15882,15325,15325,14332,14332,13990,13990,13951,13951,13751,13751,13635,13635,13512,13512,12735,12735,12461,12461,12419,12419,12356,12356,11949,11949,11680,11680,11347,11347,11236,11236,11208,11208,10849,10849,10604,10604,10059,10059,9837,9837,9784,9784,9535,9535,9348,9348,9341,9341,9300,9300,9260,9260,9113,9113,9111,9111,9109,9109,9047,9047,9009,9009,8859,8859,8818,8818,8602,8602,8536,8536,8493,8493,8490,8490,8338,8338,8266,8266,8229,8229,8163,8163,8128,8128,8080,8080,7964,7964,7947,7947,7890,7890,7847,7847,7770,7770,7717,7717,7589,7589,7564,7564,7408,7408,7173,7173,7114,7114,7047,7047,6998,6998,6905,6905,6889,6889,6856,6856,6849,6849,6838,6838,6787,6787,6722,6722,6644,6644,6601,6601,6565,6565,6496,6496,6394,6394,6389,6389,6328,6328,6259,6259,6208,6208,6161,6161,6131,6131,6060,6060,6029,6029,5952,5952,5947,5947,5922,5922,5891,5891,5872,5872,5864,5864,5858,5858,5850,5850,5845,5845,5793,5793,5697,5697,5653,5653,5598,5598,5468,5468,5443,5443,5214,5214,5093,5093,5082,5082,5074,5074,5022,5022,4858,4858,4815,4815,4804,4804,4716,4716,4709,4709,4566,4566,4505,4505,4477,4477,4432,4432,4428,4428,4386,4386,4352,4352,4328,4328,4207,4207,4194,4194,4191,4191,4142,4142,4135,4135,4134,4134,4053,4053,4045,4045,4040,4040,4029,4029,4022,4022,4020,4020,4005,4005,3978,3978,3966,3966,3927,3927,3888,3888,3881,3881,3850,3850,3802,3802,3759,3759,3700,3700,3696,3696,3683,3683,3612,3612,3604,3604,3518,3518,3470,3470,3441,3441,3364,3364,3350,3350,3305,3305,3244,3244,3241,3241,3201,3201,3184,3184,3176,3176,3174,3174,3132,3132,3126,3126,3106,3106,3097,3097,3038,3038,3034,3034,3025,3025,2976,2976,2969,2969,2955,2955,2952,2952,2929,2929,2850,2850,2768,2768,2730,2730,2726,2726,2717,2717,2707,2707,2675,2675,2651,2651,2617,2617,2582,2582,2548,2548,2534,2534,2510,2510,2480,2480,2466,2466,2410,2410,2408,2408,2403,2403,2385,2385,2377,2377,2376,2376,2368,2368,2305,2305,2240,2240,2236,2236,2226,2226,2207,2207,2186,2186,2175,2175,2160,2160,2125,2125,2100,2100,2092,2092,2081,2081,2055,2055,2051,2051,2037,2037,2036,2036,2034,2034,2031,2031,2021,2021,1999,1999,1995,1995,1981,1981,1973,1973,1965,1965,1929,1929,1913,1913,1892,1892,1881,1881,1880,1880,1823,1823,1789,1789,1768,1768,1764,1764,1760,1760,1706,1706,1705,1705,1704,1704,1702,1702,1678,1678,1672,1672,1668,1668,1658,1658,1640,1640,1631,1631,1629,1629,1617,1617,1611,1611,1610,1610,1608,1608,1598,1598,1578,1578,1553,1553,1549,1549,1528,1528,0.0],[12767,12767,12767,11135,11135,10375,10375,9684,9684,9624,9624,9051,9051,9049,9049,8819,8819,8649,8649,7987,7987,7864,7864,7702,7702,7321,7321,7198,7198,7119,7119,7065,7065,7063,7063,6963,6963,6938,6938,6758,6758,6449,6449,6308,6308,6257,6257,6239,6239,6105,6105,6092,6092,6074,6074,6050,6050,5948,5948,5861,5861,5750,5750,5741,5741,5739,5739,5636,5636,5607,5607,5593,5593,5569,5569,5532,5532,5459,5459,5322,5322,5272,5272,5250,5250,5242,5242,5232,5232,5040,5040,5033,5033,4984,4984,4983,4983,4823,4823,4799,4799,4789,4789,4762,4762,4719,4719,4627,4627,4447,4447,4402,4402,4400,4400,4397,4397,4392,4392,4331,4331,4298,4298,4271,4271,4257,4257,4223,4223,4216,4216,4197,4197,4152,4152,4147,4147,4114,4114,4095,4095,4074,4074,4048,4048,4030,4030,4004,4004,3956,3956,3919,3919,3867,3867,3830,3830,3824,3824,3812,3812,3808,3808,3785,3785,3775,3775,3730,3730,3728,3728,3720,3720,3680,3680,3645,3645,3638,3638,3628,3628,3620,3620,3619,3619,3594,3594,3585,3585,3584,3584,3548,3548,3522,3522,3506,3506,3480,3480,3478,3478,3460,3460,3422,3422,3408,3408,3405,3405,3398,3398,3397,3397,3380,3380,3376,3376,3348,3348,3305,3305,3278,3278,3265,3265,3263,3263,3257,3257,3238,3238,3233,3233,3222,3222,3210,3210,3183,3183,3176,3176,3175,3175,3164,3164,3160,3160,3144,3144,3142,3142,3110,3110,3109,3109,3066,3066,3063,3063,3050,3050,3046,3046,3045,3045,3043,3043,3042,3042,3041,3041,3037,3037,3020,3020,3016,3016,3012,3012,3007,3007,2991,2991,2988,2988,2959,2959,2951,2951,2947,2947,2940,2940,2908,2908,2904,2904,2895,2895,2892,2892,2891,2891,2886,2886,2884,2884,2882,2882,2876,2876,2872,2872,2866,2866,2861,2861,2846,2846,2834,2834,2829,2829,2827,2827,2819,2819,2813,2813,2812,2812,2804,2804,2785,2785,2775,2775,2773,2773,2745,2745,2742,2742,2736,2736,2731,2731,2730,2730,2713,2713,2706,2706,2697,2697,2628,2628,2611,2611,2600,2600,2599,2599,2596,2596,2594,2594,2582,2582,2581,2581,2565,2565,2555,2555,2546,2546,2542,2542,2530,2530,2512,2512,2473,2473,2472,2472,2467,2467,2458,2458,2447,2447,2442,2442,2433,2433,2430,2430,2426,2426,2415,2415,2413,2413,2410,2410,2390,2390,2389,2389,2387,2387,2383,2383,2375,2375,2368,2368,2355,2355,2350,2350,2349,2349,2348,2348,2341,2341,2336,2336,2335,2335,2325,2325,2307,2307,2295,2295,2292,2292,2288,2288,2286,2286,2279,2279,2277,2277,2256,2256,2250,2250,2248,2248,2247,2247,2234,2234,2233,2233,2223,2223,2222,2222,2217,2217,2178,2178,2176,2176,2175,2175,2162,2162,2160,2160,2154,2154,2140,2140,2137,2137,2134,2134,2131,2131,2126,2126,2122,2122,2119,2119,2103,2103,2098,2098,2094,2094,2093,2093,2076,2076,2074,2074,2072,2072,2058,2058,2056,2056,2055,2055,2043,2043,2039,2039,2037,2037,2024,2024,2015,2015,1990,1990,1988,1988,1969,1969,1962,1962,1952,1952,1948,1948,1906,1906,1903,1903,1899,1899,1890,1890,1881,1881,1874,1874,1871,1871,1866,1866,1854,1854,1840,1840,1831,1831,1828,1828,1826,1826,1823,1823,1821,1821,1816,1816,1814,1814,1810,1810,1806,1806,1805,1805,1801,1801,1797,1797,1795,1795,1788,1788,1783,1783,1776,1776,1770,1770,1768,1768,1766,1766,1764,1764,1751,1751,1750,1750,1746,1746,1742,1742,1740,1740,1731,1731,1726,1726,1710,1710,1709,1709,1705,1705,1700,1700,1694,1694,1693,1693,1676,1676,1671,1671,1669,1669,1657,1657,1653,1653,1646,1646,1634,1634,1632,1632,1623,1623,1616,1616,1611,1611,1602,1602,1586,1586,1579,1579,1563,1563,1549,1549,1546,1546,1545,1545,1541,1541,1537,1537,1530,1530,1527,1527,1524,1524,1523,1523,1521,1521,1516,1516,1511,1511,1508,1508,1503,1503,0.0],[30106,30106,30106,27323,27323,24461,24461,24366,24366,22831,22831,21094,21094,20390,20390,20280,20280,19914,19914,17842,17842,17687,17687,17510,17510,16332,16332,16106,16106,15285,15285,13935,13935,13902,13902,13860,13860,13501,13501,13441,13441,13239,13239,13124,13124,13008,13008,12939,12939,12872,12872,12595,12595,12536,12536,12473,12473,12312,12312,12039,12039,11651,11651,11524,11524,11247,11247,11058,11058,11021,11021,10724,10724,10715,10715,10646,10646,10363,10363,10171,10171,9909,9909,9882,9882,9839,9839,9280,9280,8882,8882,8872,8872,8838,8838,8756,8756,8700,8700,8681,8681,8469,8469,8388,8388,8361,8361,8056,8056,7972,7972,7916,7916,7872,7872,7833,7833,7770,7770,7702,7702,7693,7693,7576,7576,7447,7447,7305,7305,7149,7149,6996,6996,6982,6982,6956,6956,6850,6850,6826,6826,6800,6800,6776,6776,6757,6757,6670,6670,6651,6651,6601,6601,6442,6442,6398,6398,6350,6350,6285,6285,6190,6190,6109,6109,6051,6051,6031,6031,6018,6018,6006,6006,6000,6000,5950,5950,5886,5886,5850,5850,5819,5819,5772,5772,5735,5735,5634,5634,5622,5622,5579,5579,5468,5468,5463,5463,5449,5449,5354,5354,5353,5353,5352,5352,5339,5339,5318,5318,5316,5316,5315,5315,5217,5217,5199,5199,5102,5102,5000,5000,4973,4973,4966,4966,4960,4960,4898,4898,4876,4876,4866,4866,4835,4835,4778,4778,4661,4661,4643,4643,4614,4614,4578,4578,4555,4555,4552,4552,4510,4510,4499,4499,4494,4494,4410,4410,4384,4384,4341,4341,4306,4306,4288,4288,4283,4283,4252,4252,4244,4244,4219,4219,4208,4208,4138,4138,4135,4135,4114,4114,4097,4097,4068,4068,3979,3979,3872,3872,3823,3823,3793,3793,3749,3749,3730,3730,3695,3695,3632,3632,3618,3618,3593,3593,3592,3592,3587,3587,3568,3568,3524,3524,3486,3486,3473,3473,3468,3468,3414,3414,3398,3398,3353,3353,3336,3336,3328,3328,3322,3322,3298,3298,3284,3284,3262,3262,3259,3259,3202,3202,3190,3190,3181,3181,3174,3174,3157,3157,3141,3141,3138,3138,3064,3064,3040,3040,3029,3029,2905,2905,2892,2892,2880,2880,2781,2781,2766,2766,2764,2764,2733,2733,2704,2704,2684,2684,2633,2633,2611,2611,2605,2605,2594,2594,2581,2581,2574,2574,2551,2551,2550,2550,2540,2540,2532,2532,2521,2521,2511,2511,2495,2495,2477,2477,2402,2402,2393,2393,2387,2387,2348,2348,2339,2339,2330,2330,2328,2328,2323,2323,2322,2322,2300,2300,2274,2274,2242,2242,2207,2207,2196,2196,2185,2185,2179,2179,2147,2147,2119,2119,2117,2117,2098,2098,2080,2080,2071,2071,2056,2056,2026,2026,2003,2003,1960,1960,1951,1951,1931,1931,1928,1928,1921,1921,1918,1918,1897,1897,1877,1877,1870,1870,1869,1869,1865,1865,1857,1857,1838,1838,1800,1800,1787,1787,1758,1758,1757,1757,1756,1756,1739,1739,1736,1736,1702,1702,1698,1698,1684,1684,1678,1678,1675,1675,1669,1669,1663,1663,1648,1648,1642,1642,1639,1639,1635,1635,1602,1602,1597,1597,1581,1581,1574,1574,1569,1569,1561,1561,1535,1535,1515,1515,1513,1513,0.0],[30149,30149,30149,22503,22503,21188,21188,20992,20992,19326,19326,18497,18497,17589,17589,17296,17296,17014,17014,16955,16955,16746,16746,15394,15394,15393,15393,15295,15295,14839,14839,14263,14263,14111,14111,13913,13913,13756,13756,13579,13579,13455,13455,13415,13415,13268,13268,13124,13124,12855,12855,12561,12561,12523,12523,12419,12419,11637,11637,11556,11556,11331,11331,11133,11133,10838,10838,10829,10829,10217,10217,10137,10137,10036,10036,9886,9886,9871,9871,9725,9725,9712,9712,9241,9241,9058,9058,9042,9042,9030,9030,8974,8974,8915,8915,8844,8844,8616,8616,8563,8563,8325,8325,8142,8142,8055,8055,8018,8018,7991,7991,7987,7987,7931,7931,7897,7897,7872,7872,7670,7670,7658,7658,7492,7492,7459,7459,7437,7437,7300,7300,7222,7222,7182,7182,7070,7070,6969,6969,6904,6904,6810,6810,6712,6712,6699,6699,6695,6695,6572,6572,6523,6523,6516,6516,6489,6489,6254,6254,6148,6148,6136,6136,6131,6131,6095,6095,6062,6062,6056,6056,6034,6034,5988,5988,5939,5939,5848,5848,5796,5796,5782,5782,5720,5720,5717,5717,5685,5685,5657,5657,5644,5644,5582,5582,5554,5554,5551,5551,5492,5492,5488,5488,5451,5451,5431,5431,5415,5415,5360,5360,5325,5325,5276,5276,5206,5206,5204,5204,5185,5185,5151,5151,5059,5059,5016,5016,5004,5004,4954,4954,4889,4889,4810,4810,4780,4780,4700,4700,4629,4629,4569,4569,4539,4539,4527,4527,4517,4517,4505,4505,4500,4500,4492,4492,4465,4465,4457,4457,4388,4388,4378,4378,4332,4332,4242,4242,4214,4214,4208,4208,4203,4203,4182,4182,4180,4180,4052,4052,4035,4035,3929,3929,3868,3868,3856,3856,3847,3847,3836,3836,3830,3830,3798,3798,3793,3793,3784,3784,3780,3780,3779,3779,3715,3715,3709,3709,3675,3675,3642,3642,3627,3627,3588,3588,3567,3567,3497,3497,3494,3494,3457,3457,3446,3446,3414,3414,3399,3399,3398,3398,3395,3395,3392,3392,3389,3389,3350,3350,3311,3311,3300,3300,3297,3297,3276,3276,3269,3269,3245,3245,3216,3216,3200,3200,3185,3185,3171,3171,3170,3170,3169,3169,3148,3148,3118,3118,3093,3093,3046,3046,3040,3040,3033,3033,3024,3024,2962,2962,2936,2936,2908,2908,2888,2888,2875,2875,2865,2865,2847,2847,2822,2822,2812,2812,2769,2769,2748,2748,2737,2737,2724,2724,2712,2712,2700,2700,2662,2662,2635,2635,2618,2618,2606,2606,2604,2604,2554,2554,2553,2553,2510,2510,2476,2476,2463,2463,2461,2461,2439,2439,2437,2437,2339,2339,2228,2228,2198,2198,2197,2197,2178,2178,2164,2164,2156,2156,2146,2146,2144,2144,2137,2137,2136,2136,2124,2124,2104,2104,2080,2080,2067,2067,2060,2060,2025,2025,1996,1996,1980,1980,1934,1934,1931,1931,1925,1925,1897,1897,1873,1873,1866,1866,1855,1855,1835,1835,1824,1824,1790,1790,1767,1767,1764,1764,1752,1752,1731,1731,1686,1686,1683,1683,1677,1677,1665,1665,1660,1660,1654,1654,1649,1649,1646,1646,1629,1629,1584,1584,1582,1582,1579,1579,1574,1574,1552,1552,1548,1548,1541,1541,1539,1539,1508,1508,1503,1503,0.0],[10799,10799,10799,10746,10746,10721,10721,10275,10275,9032,9032,8853,8853,8540,8540,8200,8200,7821,7821,7776,7776,7755,7755,7705,7705,7532,7532,7524,7524,7511,7511,7446,7446,7032,7032,7004,7004,6473,6473,6472,6472,6372,6372,6199,6199,6169,6169,6142,6142,6077,6077,6063,6063,6052,6052,5966,5966,5813,5813,5784,5784,5630,5630,5584,5584,5578,5578,5577,5577,5576,5576,5517,5517,5381,5381,5263,5263,5238,5238,5195,5195,5131,5131,5112,5112,5039,5039,5007,5007,4952,4952,4939,4939,4902,4902,4893,4893,4877,4877,4834,4834,4778,4778,4731,4731,4658,4658,4625,4625,4623,4623,4613,4613,4508,4508,4489,4489,4479,4479,4452,4452,4397,4397,4366,4366,4313,4313,4298,4298,4297,4297,4274,4274,4271,4271,4250,4250,4210,4210,4189,4189,4169,4169,4166,4166,4160,4160,4130,4130,4122,4122,4024,4024,3985,3985,3955,3955,3949,3949,3939,3939,3936,3936,3921,3921,3914,3914,3894,3894,3876,3876,3875,3875,3859,3859,3854,3854,3794,3794,3774,3774,3769,3769,3739,3739,3725,3725,3718,3718,3716,3716,3698,3698,3696,3696,3686,3686,3644,3644,3638,3638,3635,3635,3576,3576,3570,3570,3547,3547,3531,3531,3530,3530,3500,3500,3498,3498,3496,3496,3487,3487,3483,3483,3479,3479,3452,3452,3438,3438,3411,3411,3407,3407,3369,3369,3343,3343,3291,3291,3228,3228,3211,3211,3140,3140,3137,3137,3120,3120,3114,3114,3101,3101,3086,3086,3075,3075,3070,3070,3057,3057,3044,3044,3041,3041,3031,3031,3026,3026,3018,3018,3013,3013,3001,3001,2982,2982,2947,2947,2938,2938,2912,2912,2905,2905,2889,2889,2886,2886,2866,2866,2852,2852,2835,2835,2832,2832,2823,2823,2812,2812,2799,2799,2796,2796,2786,2786,2777,2777,2765,2765,2763,2763,2759,2759,2746,2746,2740,2740,2735,2735,2718,2718,2704,2704,2703,2703,2702,2702,2686,2686,2653,2653,2647,2647,2643,2643,2641,2641,2606,2606,2592,2592,2588,2588,2587,2587,2563,2563,2557,2557,2549,2549,2548,2548,2539,2539,2534,2534,2519,2519,2508,2508,2497,2497,2494,2494,2481,2481,2479,2479,2478,2478,2457,2457,2454,2454,2451,2451,2447,2447,2445,2445,2444,2444,2441,2441,2431,2431,2416,2416,2407,2407,2400,2400,2391,2391,2389,2389,2385,2385,2371,2371,2343,2343,2329,2329,2312,2312,2303,2303,2295,2295,2291,2291,2289,2289,2281,2281,2265,2265,2260,2260,2259,2259,2250,2250,2233,2233,2228,2228,2220,2220,2219,2219,2213,2213,2210,2210,2201,2201,2197,2197,2192,2192,2187,2187,2164,2164,2153,2153,2144,2144,2135,2135,2126,2126,2123,2123,2122,2122,2115,2115,2112,2112,2094,2094,2091,2091,2084,2084,2082,2082,2081,2081,2076,2076,2057,2057,2052,2052,2044,2044,2038,2038,2034,2034,2013,2013,2007,2007,2006,2006,1998,1998,1991,1991,1986,1986,1979,1979,1969,1969,1964,1964,1962,1962,1955,1955,1951,1951,1946,1946,1936,1936,1930,1930,1920,1920,1906,1906,1905,1905,1904,1904,1900,1900,1896,1896,1890,1890,1889,1889,1888,1888,1884,1884,1883,1883,1879,1879,1878,1878,1874,1874,1871,1871,1870,1870,1866,1866,1865,1865,1859,1859,1857,1857,1854,1854,1851,1851,1839,1839,1834,1834,1833,1833,1827,1827,1826,1826,1825,1825,1821,1821,1807,1807,1806,1806,1799,1799,1794,1794,1785,1785,1775,1775,1771,1771,1769,1769,1767,1767,1760,1760,1757,1757,1749,1749,1743,1743,1741,1741,1730,1730,1723,1723,1711,1711,1710,1710,1708,1708,1702,1702,1701,1701,1700,1700,1692,1692,1688,1688,1682,1682,1680,1680,1679,1679,1677,1677,1673,1673,1665,1665,1662,1662,1658,1658,1656,1656,1649,1649,1647,1647,1643,1643,1634,1634,1631,1631,1627,1627,1625,1625,1623,1623,1622,1622,1617,1617,1612,1612,1594,1594,1587,1587,1583,1583,1581,1581,1575,1575,1570,1570,1568,1568,1567,1567,1560,1560,1558,1558,1546,1546,1542,1542,1539,1539,1538,1538,1534,1534,1533,1533,1532,1532,1524,1524,1512,1512,1511,1511,1507,1507,0.0],[20465,20465,20465,18906,18906,18135,18135,17814,17814,16927,16927,16376,16376,16292,16292,15745,15745,15557,15557,14910,14910,14619,14619,14530,14530,14100,14100,13318,13318,13275,13275,13161,13161,13126,13126,13097,13097,12940,12940,12871,12871,12681,12681,12573,12573,11822,11822,11541,11541,11476,11476,11284,11284,11229,11229,10576,10576,10561,10561,10260,10260,10181,10181,9937,9937,9923,9923,9862,9862,9759,9759,9715,9715,9644,9644,9524,9524,9388,9388,9268,9268,9153,9153,9122,9122,8901,8901,8824,8824,8803,8803,8782,8782,8705,8705,8695,8695,8601,8601,8532,8532,8273,8273,8232,8232,8210,8210,8186,8186,8115,8115,7963,7963,7922,7922,7910,7910,7783,7783,7775,7775,7768,7768,7743,7743,7671,7671,7649,7649,7509,7509,7418,7418,7409,7409,7359,7359,7267,7267,7167,7167,7088,7088,7044,7044,7038,7038,6997,6997,6972,6972,6965,6965,6924,6924,6921,6921,6904,6904,6884,6884,6777,6777,6687,6687,6622,6622,6596,6596,6517,6517,6511,6511,6430,6430,6422,6422,6372,6372,6337,6337,6294,6294,6288,6288,6156,6156,6089,6089,6053,6053,5997,5997,5927,5927,5851,5851,5842,5842,5776,5776,5768,5768,5767,5767,5686,5686,5651,5651,5592,5592,5525,5525,5485,5485,5480,5480,5447,5447,5443,5443,5420,5420,5415,5415,5413,5413,5398,5398,5390,5390,5385,5385,5356,5356,5292,5292,5249,5249,5184,5184,5164,5164,5163,5163,5096,5096,4981,4981,4970,4970,4941,4941,4931,4931,4927,4927,4925,4925,4874,4874,4861,4861,4789,4789,4731,4731,4701,4701,4587,4587,4536,4536,4530,4530,4504,4504,4445,4445,4444,4444,4398,4398,4392,4392,4379,4379,4378,4378,4349,4349,4277,4277,4266,4266,4253,4253,4198,4198,4166,4166,4130,4130,4125,4125,4049,4049,4047,4047,4032,4032,4017,4017,4004,4004,3965,3965,3924,3924,3922,3922,3882,3882,3834,3834,3787,3787,3751,3751,3726,3726,3661,3661,3624,3624,3587,3587,3542,3542,3508,3508,3506,3506,3473,3473,3415,3415,3389,3389,3381,3381,3379,3379,3368,3368,3330,3330,3316,3316,3305,3305,3300,3300,3292,3292,3264,3264,3212,3212,3211,3211,3203,3203,3168,3168,3116,3116,3105,3105,3103,3103,3074,3074,3069,3069,3059,3059,3046,3046,3042,3042,3038,3038,2988,2988,2941,2941,2934,2934,2926,2926,2901,2901,2880,2880,2856,2856,2836,2836,2835,2835,2771,2771,2725,2725,2715,2715,2697,2697,2658,2658,2654,2654,2599,2599,2581,2581,2567,2567,2555,2555,2542,2542,2541,2541,2520,2520,2515,2515,2503,2503,2493,2493,2486,2486,2448,2448,2445,2445,2425,2425,2399,2399,2387,2387,2364,2364,2352,2352,2347,2347,2340,2340,2339,2339,2334,2334,2333,2333,2296,2296,2291,2291,2280,2280,2269,2269,2241,2241,2239,2239,2229,2229,2223,2223,2203,2203,2194,2194,2193,2193,2177,2177,2175,2175,2172,2172,2168,2168,2166,2166,2147,2147,2144,2144,2105,2105,2104,2104,2086,2086,2083,2083,2055,2055,1958,1958,1952,1952,1941,1941,1937,1937,1922,1922,1907,1907,1902,1902,1868,1868,1835,1835,1820,1820,1781,1781,1775,1775,1771,1771,1735,1735,1729,1729,1715,1715,1685,1685,1676,1676,1673,1673,1670,1670,1640,1640,1639,1639,1625,1625,1604,1604,1582,1582,1574,1574,1572,1572,1510,1510,1505,1505,0.0],[30634,30634,30634,30113,30113,25779,25779,24864,24864,24736,24736,23133,23133,23088,23088,21814,21814,20158,20158,19931,19931,18924,18924,18843,18843,17656,17656,17330,17330,16025,16025,15449,15449,14672,14672,14300,14300,14103,14103,14045,14045,13974,13974,13668,13668,13393,13393,13096,13096,13074,13074,12449,12449,12226,12226,12140,12140,12064,12064,12041,12041,12003,12003,11868,11868,11684,11684,11559,11559,11509,11509,11275,11275,11248,11248,10666,10666,10622,10622,10611,10611,10591,10591,10532,10532,10365,10365,10321,10321,10138,10138,10123,10123,10043,10043,9897,9897,9459,9459,9377,9377,9285,9285,9259,9259,9142,9142,9100,9100,8625,8625,8420,8420,8275,8275,8232,8232,8205,8205,8170,8170,8165,8165,8156,8156,8127,8127,8120,8120,8038,8038,7985,7985,7936,7936,7853,7853,7819,7819,7760,7760,7531,7531,7514,7514,7486,7486,7363,7363,7354,7354,7288,7288,7282,7282,7179,7179,7061,7061,6976,6976,6952,6952,6940,6940,6822,6822,6738,6738,6686,6686,6659,6659,6612,6612,6603,6603,6562,6562,6526,6526,6298,6298,6269,6269,6243,6243,6208,6208,6044,6044,6030,6030,6003,6003,5953,5953,5853,5853,5826,5826,5824,5824,5822,5822,5819,5819,5805,5805,5741,5741,5732,5732,5606,5606,5528,5528,5467,5467,5443,5443,5435,5435,5353,5353,5332,5332,5314,5314,5279,5279,5202,5202,5200,5200,5113,5113,5080,5080,5079,5079,4990,4990,4920,4920,4919,4919,4761,4761,4690,4690,4671,4671,4660,4660,4634,4634,4626,4626,4623,4623,4600,4600,4598,4598,4592,4592,4556,4556,4550,4550,4519,4519,4515,4515,4497,4497,4470,4470,4452,4452,4427,4427,4417,4417,4394,4394,4342,4342,4314,4314,4308,4308,4272,4272,4250,4250,4227,4227,4220,4220,4199,4199,4193,4193,4178,4178,4165,4165,4133,4133,4128,4128,4121,4121,4094,4094,4063,4063,3927,3927,3889,3889,3854,3854,3766,3766,3758,3758,3756,3756,3735,3735,3729,3729,3713,3713,3685,3685,3683,3683,3575,3575,3548,3548,3541,3541,3508,3508,3476,3476,3437,3437,3375,3375,3371,3371,3361,3361,3180,3180,3162,3162,3158,3158,3152,3152,3149,3149,3136,3136,3133,3133,3108,3108,3060,3060,3038,3038,3006,3006,3002,3002,2998,2998,2924,2924,2914,2914,2845,2845,2823,2823,2812,2812,2809,2809,2727,2727,2699,2699,2681,2681,2679,2679,2659,2659,2594,2594,2539,2539,2538,2538,2490,2490,2478,2478,2455,2455,2439,2439,2437,2437,2436,2436,2409,2409,2370,2370,2362,2362,2316,2316,2305,2305,2297,2297,2294,2294,2288,2288,2284,2284,2277,2277,2242,2242,2236,2236,2207,2207,2203,2203,2185,2185,2180,2180,2161,2161,2140,2140,2118,2118,2116,2116,2089,2089,2075,2075,2071,2071,2062,2062,2048,2048,2037,2037,2029,2029,1991,1991,1962,1962,1957,1957,1910,1910,1894,1894,1873,1873,1853,1853,1848,1848,1822,1822,1804,1804,1803,1803,1794,1794,1762,1762,1761,1761,1755,1755,1754,1754,1699,1699,1695,1695,1693,1693,1681,1681,1664,1664,1663,1663,1658,1658,1655,1655,1627,1627,1614,1614,1600,1600,1590,1590,1586,1586,1567,1567,1564,1564,1562,1562,1546,1546,1533,1533,1529,1529,1527,1527,1512,1512,0.0],[89712,89712,89712,78364,78364,74347,74347,62372,62372,60157,60157,59266,59266,57623,57623,49610,49610,48620,48620,46875,46875,46569,46569,45670,45670,44521,44521,42408,42408,41450,41450,39986,39986,35967,35967,33457,33457,31690,31690,31496,31496,30181,30181,24641,24641,23992,23992,23095,23095,22346,22346,20996,20996,20979,20979,20769,20769,20746,20746,18566,18566,18376,18376,18165,18165,18062,18062,17758,17758,17644,17644,17422,17422,16561,16561,15959,15959,15785,15785,14250,14250,13824,13824,13816,13816,13779,13779,13619,13619,13523,13523,13275,13275,13091,13091,12986,12986,12963,12963,12941,12941,12776,12776,12765,12765,12002,12002,11634,11634,9256,9256,9253,9253,9214,9214,9033,9033,8798,8798,8775,8775,7887,7887,7821,7821,7653,7653,6921,6921,6043,6043,5448,5448,5346,5346,5109,5109,4976,4976,4919,4919,4723,4723,4614,4614,4565,4565,4273,4273,3813,3813,3541,3541,3458,3458,3325,3325,2812,2812,2652,2652,2578,2578,2437,2437,2356,2356,2324,2324,1868,1868,1562,1562,0.0],[21163,21163,21163,14482,14482,14160,14160,14113,14113,12636,12636,11793,11793,11488,11488,11336,11336,10623,10623,10503,10503,10368,10368,9144,9144,9134,9134,9079,9079,8951,8951,8777,8777,8756,8756,8683,8683,8274,8274,8005,8005,7765,7765,7760,7760,7702,7702,7664,7664,7643,7643,7394,7394,7347,7347,7296,7296,7269,7269,7244,7244,7231,7231,7155,7155,7134,7134,6991,6991,6938,6938,6834,6834,6783,6783,6774,6774,6754,6754,6686,6686,6622,6622,6513,6513,6421,6421,6375,6375,6361,6361,6299,6299,6253,6253,6244,6244,6161,6161,6016,6016,5932,5932,5834,5834,5807,5807,5768,5768,5721,5721,5688,5688,5658,5658,5648,5648,5622,5622,5580,5580,5567,5567,5508,5508,5477,5477,5463,5463,5445,5445,5417,5417,5415,5415,5406,5406,5355,5355,5276,5276,5234,5234,5213,5213,5205,5205,5201,5201,5193,5193,5184,5184,5169,5169,5094,5094,5089,5089,5065,5065,5058,5058,5016,5016,4954,4954,4917,4917,4916,4916,4888,4888,4840,4840,4831,4831,4827,4827,4826,4826,4818,4818,4800,4800,4740,4740,4696,4696,4675,4675,4659,4659,4590,4590,4584,4584,4560,4560,4539,4539,4530,4530,4526,4526,4467,4467,4465,4465,4459,4459,4445,4445,4435,4435,4433,4433,4423,4423,4415,4415,4401,4401,4335,4335,4290,4290,4279,4279,4277,4277,4238,4238,4209,4209,4202,4202,4190,4190,4184,4184,4162,4162,4159,4159,4129,4129,4086,4086,4080,4080,4061,4061,3947,3947,3932,3932,3892,3892,3881,3881,3801,3801,3796,3796,3795,3795,3678,3678,3674,3674,3643,3643,3635,3635,3631,3631,3621,3621,3585,3585,3552,3552,3531,3531,3514,3514,3508,3508,3497,3497,3477,3477,3456,3456,3452,3452,3404,3404,3397,3397,3374,3374,3298,3298,3282,3282,3277,3277,3269,3269,3261,3261,3246,3246,3242,3242,3236,3236,3206,3206,3181,3181,3163,3163,3158,3158,3142,3142,3141,3141,3129,3129,3100,3100,3083,3083,3077,3077,3060,3060,3056,3056,3018,3018,3017,3017,3007,3007,3005,3005,2997,2997,2945,2945,2944,2944,2933,2933,2931,2931,2916,2916,2900,2900,2877,2877,2869,2869,2865,2865,2852,2852,2808,2808,2799,2799,2786,2786,2776,2776,2768,2768,2754,2754,2743,2743,2730,2730,2722,2722,2719,2719,2705,2705,2694,2694,2687,2687,2655,2655,2623,2623,2620,2620,2605,2605,2599,2599,2596,2596,2582,2582,2555,2555,2548,2548,2542,2542,2541,2541,2532,2532,2531,2531,2468,2468,2466,2466,2459,2459,2450,2450,2433,2433,2416,2416,2384,2384,2381,2381,2379,2379,2361,2361,2357,2357,2355,2355,2351,2351,2343,2343,2336,2336,2335,2335,2328,2328,2318,2318,2315,2315,2302,2302,2260,2260,2258,2258,2250,2250,2226,2226,2201,2201,2198,2198,2192,2192,2186,2186,2179,2179,2172,2172,2169,2169,2161,2161,2158,2158,2157,2157,2156,2156,2153,2153,2148,2148,2147,2147,2139,2139,2128,2128,2117,2117,2112,2112,2109,2109,2098,2098,2097,2097,2092,2092,2083,2083,2074,2074,2068,2068,2053,2053,2052,2052,2050,2050,2041,2041,2039,2039,2030,2030,2023,2023,2019,2019,2005,2005,1998,1998,1974,1974,1967,1967,1966,1966,1965,1965,1949,1949,1938,1938,1929,1929,1921,1921,1920,1920,1919,1919,1910,1910,1901,1901,1898,1898,1891,1891,1888,1888,1884,1884,1875,1875,1870,1870,1869,1869,1861,1861,1851,1851,1850,1850,1843,1843,1835,1835,1828,1828,1825,1825,1821,1821,1817,1817,1810,1810,1808,1808,1805,1805,1798,1798,1777,1777,1769,1769,1767,1767,1760,1760,1750,1750,1746,1746,1742,1742,1722,1722,1716,1716,1715,1715,1709,1709,1708,1708,1701,1701,1698,1698,1694,1694,1687,1687,1685,1685,1683,1683,1679,1679,1662,1662,1653,1653,1650,1650,1646,1646,1640,1640,1639,1639,1634,1634,1628,1628,1586,1586,1585,1585,1579,1579,1578,1578,1570,1570,1554,1554,1533,1533,1530,1530,1524,1524,1518,1518,1514,1514,1508,1508,1506,1506,0.0],[55498,55498,55498,52940,52940,47294,47294,46920,46920,46226,46226,40391,40391,38274,38274,37754,37754,37622,37622,35797,35797,33741,33741,28736,28736,28516,28516,27733,27733,26446,26446,25881,25881,24641,24641,24606,24606,24423,24423,23979,23979,23758,23758,23748,23748,22877,22877,21307,21307,20921,20921,19784,19784,18762,18762,18725,18725,18576,18576,18151,18151,17925,17925,17911,17911,17366,17366,17093,17093,16827,16827,15954,15954,15325,15325,15219,15219,15084,15084,14905,14905,14673,14673,14619,14619,14455,14455,14316,14316,14209,14209,14017,14017,13907,13907,13809,13809,13695,13695,13662,13662,13554,13554,13454,13454,13281,13281,12945,12945,12360,12360,12174,12174,12126,12126,12094,12094,11500,11500,11481,11481,11105,11105,10869,10869,10713,10713,10563,10563,9934,9934,9821,9821,9743,9743,9624,9624,9593,9593,9201,9201,8920,8920,8851,8851,8389,8389,8348,8348,8314,8314,8220,8220,8213,8213,8028,8028,8023,8023,7963,7963,7931,7931,7865,7865,7830,7830,7795,7795,7535,7535,7136,7136,7004,7004,6924,6924,6907,6907,6841,6841,6636,6636,6434,6434,6405,6405,6240,6240,6123,6123,6091,6091,6036,6036,5989,5989,5872,5872,5798,5798,5714,5714,5443,5443,5339,5339,5277,5277,5116,5116,4910,4910,4877,4877,4765,4765,4738,4738,4536,4536,4506,4506,4434,4434,4399,4399,4370,4370,4198,4198,4184,4184,4176,4176,4161,4161,4126,4126,4037,4037,3999,3999,3916,3916,3808,3808,3780,3780,3754,3754,3730,3730,3715,3715,3568,3568,3532,3532,3519,3519,3458,3458,3372,3372,3328,3328,3261,3261,3211,3211,3138,3138,3087,3087,3024,3024,3017,3017,2993,2993,2959,2959,2871,2871,2781,2781,2714,2714,2708,2708,2677,2677,2671,2671,2602,2602,2580,2580,2538,2538,2391,2391,2370,2370,2341,2341,2337,2337,2271,2271,2191,2191,2186,2186,2157,2157,2076,2076,2044,2044,2040,2040,2029,2029,2012,2012,2010,2010,1989,1989,1974,1974,1916,1916,1910,1910,1906,1906,1858,1858,1846,1846,1826,1826,1810,1810,1805,1805,1723,1723,1717,1717,1700,1700,1668,1668,1661,1661,1658,1658,1640,1640,1605,1605,1559,1559,1530,1530,0.0],[21285,21285,21285,20425,20425,19761,19761,18148,18148,15600,15600,15153,15153,15036,15036,15020,15020,14754,14754,14639,14639,14536,14536,14483,14483,13957,13957,13560,13560,13551,13551,13255,13255,13052,13052,12839,12839,12440,12440,12101,12101,11740,11740,11561,11561,11015,11015,10949,10949,10861,10861,10441,10441,10225,10225,9902,9902,9850,9850,9763,9763,9758,9758,9604,9604,9569,9569,9553,9553,9544,9544,9502,9502,9310,9310,9163,9163,9005,9005,8744,8744,8661,8661,8643,8643,8594,8594,8473,8473,8430,8430,8412,8412,8355,8355,8352,8352,8344,8344,8280,8280,8113,8113,8087,8087,7860,7860,7854,7854,7850,7850,7822,7822,7797,7797,7719,7719,7713,7713,7685,7685,7648,7648,7588,7588,7481,7481,7399,7399,7374,7374,7349,7349,7336,7336,7296,7296,7087,7087,7003,7003,6972,6972,6925,6925,6872,6872,6817,6817,6806,6806,6786,6786,6768,6768,6759,6759,6739,6739,6697,6697,6671,6671,6641,6641,6566,6566,6487,6487,6485,6485,6395,6395,6282,6282,6221,6221,6116,6116,5973,5973,5915,5915,5898,5898,5884,5884,5692,5692,5662,5662,5615,5615,5601,5601,5555,5555,5482,5482,5445,5445,5432,5432,5393,5393,5334,5334,5322,5322,5303,5303,5281,5281,5270,5270,5204,5204,5197,5197,5152,5152,5132,5132,5121,5121,5111,5111,5007,5007,4947,4947,4939,4939,4889,4889,4830,4830,4781,4781,4768,4768,4740,4740,4621,4621,4561,4561,4551,4551,4507,4507,4504,4504,4503,4503,4486,4486,4442,4442,4422,4422,4420,4420,4399,4399,4393,4393,4366,4366,4298,4298,4289,4289,4256,4256,4245,4245,4184,4184,4102,4102,4088,4088,4075,4075,4073,4073,4043,4043,4038,4038,4015,4015,4002,4002,3931,3931,3906,3906,3886,3886,3823,3823,3820,3820,3813,3813,3771,3771,3758,3758,3709,3709,3706,3706,3577,3577,3563,3563,3554,3554,3538,3538,3489,3489,3470,3470,3453,3453,3447,3447,3439,3439,3427,3427,3416,3416,3401,3401,3392,3392,3387,3387,3374,3374,3371,3371,3306,3306,3285,3285,3278,3278,3277,3277,3242,3242,3222,3222,3216,3216,3204,3204,3195,3195,3189,3189,3140,3140,3114,3114,3108,3108,3107,3107,3047,3047,3030,3030,3016,3016,3014,3014,3006,3006,2999,2999,2996,2996,2980,2980,2957,2957,2945,2945,2918,2918,2856,2856,2789,2789,2778,2778,2767,2767,2744,2744,2684,2684,2657,2657,2651,2651,2612,2612,2601,2601,2588,2588,2561,2561,2557,2557,2544,2544,2529,2529,2526,2526,2491,2491,2472,2472,2459,2459,2443,2443,2440,2440,2414,2414,2395,2395,2392,2392,2385,2385,2358,2358,2356,2356,2340,2340,2330,2330,2327,2327,2323,2323,2321,2321,2320,2320,2278,2278,2272,2272,2268,2268,2224,2224,2222,2222,2199,2199,2181,2181,2125,2125,2107,2107,2094,2094,2080,2080,2071,2071,2069,2069,2057,2057,2047,2047,2031,2031,2026,2026,2025,2025,2007,2007,1970,1970,1948,1948,1944,1944,1939,1939,1936,1936,1926,1926,1895,1895,1892,1892,1884,1884,1866,1866,1850,1850,1838,1838,1829,1829,1819,1819,1814,1814,1809,1809,1803,1803,1789,1789,1767,1767,1760,1760,1755,1755,1735,1735,1731,1731,1650,1650,1640,1640,1600,1600,1591,1591,1570,1570,1552,1552,1549,1549,1536,1536,1513,1513,0.0],[12110,12110,12110,9439,9439,8157,8157,7794,7794,7698,7698,7200,7200,6887,6887,6812,6812,6760,6760,6642,6642,6533,6533,6055,6055,6048,6048,6008,6008,5986,5986,5780,5780,5684,5684,5650,5650,5594,5594,5585,5585,5572,5572,5551,5551,5523,5523,5503,5503,5480,5480,5471,5471,5314,5314,5303,5303,5232,5232,5026,5026,5011,5011,4986,4986,4976,4976,4833,4833,4813,4813,4808,4808,4787,4787,4762,4762,4714,4714,4607,4607,4595,4595,4568,4568,4522,4522,4498,4498,4344,4344,4338,4338,4311,4311,4310,4310,4297,4297,4256,4256,4248,4248,4178,4178,4130,4130,4079,4079,4060,4060,4031,4031,4017,4017,4012,4012,3957,3957,3945,3945,3914,3914,3841,3841,3834,3834,3825,3825,3792,3792,3790,3790,3787,3787,3759,3759,3683,3683,3653,3653,3645,3645,3616,3616,3615,3615,3552,3552,3528,3528,3517,3517,3503,3503,3480,3480,3476,3476,3472,3472,3448,3448,3426,3426,3410,3410,3401,3401,3343,3343,3298,3298,3291,3291,3271,3271,3262,3262,3259,3259,3225,3225,3223,3223,3217,3217,3214,3214,3211,3211,3203,3203,3194,3194,3165,3165,3156,3156,3151,3151,3132,3132,3121,3121,3118,3118,3112,3112,3072,3072,3065,3065,3064,3064,3027,3027,3023,3023,3018,3018,3015,3015,3009,3009,3006,3006,2995,2995,2984,2984,2975,2975,2955,2955,2954,2954,2938,2938,2928,2928,2927,2927,2917,2917,2915,2915,2905,2905,2897,2897,2890,2890,2888,2888,2887,2887,2863,2863,2811,2811,2795,2795,2790,2790,2783,2783,2765,2765,2750,2750,2744,2744,2717,2717,2716,2716,2681,2681,2674,2674,2662,2662,2646,2646,2645,2645,2644,2644,2641,2641,2600,2600,2582,2582,2577,2577,2554,2554,2547,2547,2538,2538,2537,2537,2524,2524,2519,2519,2497,2497,2492,2492,2485,2485,2479,2479,2472,2472,2468,2468,2449,2449,2440,2440,2433,2433,2431,2431,2423,2423,2422,2422,2404,2404,2395,2395,2392,2392,2387,2387,2382,2382,2381,2381,2372,2372,2370,2370,2366,2366,2360,2360,2349,2349,2345,2345,2342,2342,2324,2324,2309,2309,2307,2307,2305,2305,2294,2294,2292,2292,2290,2290,2285,2285,2274,2274,2250,2250,2234,2234,2225,2225,2221,2221,2211,2211,2206,2206,2204,2204,2201,2201,2190,2190,2187,2187,2185,2185,2181,2181,2176,2176,2168,2168,2166,2166,2142,2142,2141,2141,2140,2140,2138,2138,2136,2136,2135,2135,2132,2132,2131,2131,2128,2128,2117,2117,2091,2091,2078,2078,2060,2060,2058,2058,2047,2047,2040,2040,2036,2036,2033,2033,2026,2026,2019,2019,2011,2011,2008,2008,1998,1998,1997,1997,1989,1989,1977,1977,1968,1968,1964,1964,1949,1949,1945,1945,1944,1944,1939,1939,1932,1932,1924,1924,1916,1916,1892,1892,1885,1885,1884,1884,1883,1883,1881,1881,1880,1880,1872,1872,1865,1865,1864,1864,1862,1862,1858,1858,1847,1847,1841,1841,1839,1839,1838,1838,1835,1835,1834,1834,1830,1830,1826,1826,1808,1808,1803,1803,1795,1795,1793,1793,1789,1789,1787,1787,1785,1785,1784,1784,1780,1780,1768,1768,1752,1752,1751,1751,1750,1750,1742,1742,1741,1741,1740,1740,1731,1731,1721,1721,1719,1719,1713,1713,1711,1711,1709,1709,1707,1707,1704,1704,1703,1703,1697,1697,1689,1689,1682,1682,1679,1679,1670,1670,1669,1669,1665,1665,1662,1662,1655,1655,1653,1653,1651,1651,1647,1647,1646,1646,1643,1643,1637,1637,1630,1630,1628,1628,1626,1626,1618,1618,1611,1611,1602,1602,1600,1600,1595,1595,1594,1594,1592,1592,1589,1589,1588,1588,1580,1580,1576,1576,1575,1575,1569,1569,1562,1562,1561,1561,1557,1557,1552,1552,1545,1545,1544,1544,1542,1542,1539,1539,1530,1530,1528,1528,1521,1521,1519,1519,1512,1512,1509,1509,1508,1508,1506,1506,1504,1504,1503,1503,1502,1502,0.0],[57258,57258,57258,54411,54411,46371,46371,40068,40068,37877,37877,36178,36178,33940,33940,32178,32178,24490,24490,23233,23233,23193,23193,23125,23125,23097,23097,20430,20430,19548,19548,19382,19382,19366,19366,18737,18737,18716,18716,17705,17705,16514,16514,16067,16067,15869,15869,15855,15855,15676,15676,15670,15670,15158,15158,13712,13712,13526,13526,13378,13378,13082,13082,12261,12261,12056,12056,12016,12016,11792,11792,11455,11455,11357,11357,11260,11260,11093,11093,10874,10874,10714,10714,10657,10657,10605,10605,10057,10057,10023,10023,9972,9972,9761,9761,9463,9463,9349,9349,8924,8924,8904,8904,8764,8764,8492,8492,8444,8444,8404,8404,8223,8223,8124,8124,8059,8059,8028,8028,8009,8009,8000,8000,7909,7909,7819,7819,7744,7744,7421,7421,7262,7262,7208,7208,7197,7197,7154,7154,7151,7151,6888,6888,6603,6603,6597,6597,6570,6570,6503,6503,6483,6483,6378,6378,6180,6180,6108,6108,5952,5952,5879,5879,5827,5827,5576,5576,5196,5196,5089,5089,5054,5054,4791,4791,4750,4750,4745,4745,4739,4739,4694,4694,4598,4598,4567,4567,4401,4401,4369,4369,4314,4314,4309,4309,4187,4187,4160,4160,4125,4125,4048,4048,3991,3991,3916,3916,3891,3891,3864,3864,3479,3479,3431,3431,3370,3370,3355,3355,3310,3310,3215,3215,3186,3186,3181,3181,3088,3088,3073,3073,3063,3063,3034,3034,2879,2879,2873,2873,2860,2860,2753,2753,2745,2745,2688,2688,2685,2685,2668,2668,2652,2652,2627,2627,2608,2608,2584,2584,2444,2444,2436,2436,2415,2415,2351,2351,2301,2301,2088,2088,2056,2056,2020,2020,2004,2004,1955,1955,1933,1933,1882,1882,1848,1848,1751,1751,1747,1747,1715,1715,1692,1692,1678,1678,1660,1660,1615,1615,1599,1599,1592,1592,1513,1513,1473,1473,1427,1427,1355,1355,1353,1353,1305,1305,1291,1291,1286,1286,1236,1236,1096,1096,1090,1090,1051,1051,1001,1001,0.0],[8911,8911,8911,8191,8191,6650,6650,6161,6161,6051,6051,5877,5877,5744,5744,5367,5367,5272,5272,5253,5253,5167,5167,5120,5120,5056,5056,4845,4845,4694,4694,4630,4630,4629,4629,4475,4475,4338,4338,4257,4257,4240,4240,4198,4198,4185,4185,4181,4181,4174,4174,4172,4172,4168,4168,4159,4159,4155,4155,4110,4110,4065,4065,3990,3990,3940,3940,3927,3927,3879,3879,3850,3850,3812,3812,3750,3750,3714,3714,3691,3691,3690,3690,3686,3686,3673,3673,3587,3587,3562,3562,3560,3560,3514,3514,3469,3469,3464,3464,3459,3459,3448,3448,3422,3422,3412,3412,3361,3361,3354,3354,3351,3351,3314,3314,3256,3256,3246,3246,3241,3241,3236,3236,3171,3171,3153,3153,3144,3144,3143,3143,3130,3130,3129,3129,3111,3111,3101,3101,3073,3073,3056,3056,3009,3009,2996,2996,2975,2975,2970,2970,2907,2907,2889,2889,2885,2885,2882,2882,2879,2879,2872,2872,2851,2851,2844,2844,2837,2837,2836,2836,2819,2819,2813,2813,2806,2806,2804,2804,2800,2800,2786,2786,2777,2777,2771,2771,2765,2765,2743,2743,2730,2730,2728,2728,2724,2724,2723,2723,2713,2713,2700,2700,2690,2690,2675,2675,2652,2652,2648,2648,2626,2626,2591,2591,2576,2576,2557,2557,2550,2550,2523,2523,2521,2521,2520,2520,2496,2496,2488,2488,2482,2482,2475,2475,2467,2467,2459,2459,2442,2442,2430,2430,2407,2407,2403,2403,2396,2396,2386,2386,2372,2372,2360,2360,2356,2356,2352,2352,2350,2350,2348,2348,2337,2337,2333,2333,2329,2329,2327,2327,2322,2322,2320,2320,2308,2308,2305,2305,2303,2303,2296,2296,2294,2294,2285,2285,2283,2283,2282,2282,2272,2272,2267,2267,2247,2247,2237,2237,2234,2234,2228,2228,2198,2198,2170,2170,2162,2162,2159,2159,2155,2155,2154,2154,2152,2152,2139,2139,2133,2133,2131,2131,2125,2125,2124,2124,2123,2123,2119,2119,2109,2109,2107,2107,2095,2095,2093,2093,2087,2087,2079,2079,2078,2078,2076,2076,2072,2072,2071,2071,2061,2061,2058,2058,2055,2055,2053,2053,2051,2051,2039,2039,2036,2036,2024,2024,2023,2023,2022,2022,2020,2020,2018,2018,2016,2016,2012,2012,2010,2010,1996,1996,1991,1991,1983,1983,1971,1971,1956,1956,1955,1955,1946,1946,1936,1936,1934,1934,1919,1919,1908,1908,1899,1899,1892,1892,1884,1884,1881,1881,1878,1878,1875,1875,1869,1869,1866,1866,1855,1855,1852,1852,1848,1848,1842,1842,1832,1832,1828,1828,1822,1822,1814,1814,1811,1811,1807,1807,1806,1806,1800,1800,1799,1799,1797,1797,1794,1794,1793,1793,1792,1792,1789,1789,1777,1777,1776,1776,1774,1774,1771,1771,1764,1764,1755,1755,1750,1750,1744,1744,1731,1731,1730,1730,1720,1720,1719,1719,1717,1717,1716,1716,1711,1711,1710,1710,1709,1709,1706,1706,1705,1705,1702,1702,1701,1701,1697,1697,1692,1692,1691,1691,1683,1683,1681,1681,1679,1679,1677,1677,1669,1669,1666,1666,1665,1665,1663,1663,1661,1661,1653,1653,1648,1648,1638,1638,1636,1636,1635,1635,1630,1630,1629,1629,1627,1627,1626,1626,1624,1624,1620,1620,1618,1618,1616,1616,1610,1610,1601,1601,1595,1595,1594,1594,1589,1589,1586,1586,1582,1582,1581,1581,1574,1574,1567,1567,1565,1565,1562,1562,1561,1561,1559,1559,1557,1557,1552,1552,1549,1549,1543,1543,1541,1541,1537,1537,1535,1535,1534,1534,1532,1532,1528,1528,1519,1519,1518,1518,1511,1511,1508,1508,1502,1502,1500,1500,0.0],[178357,178357,178357,162813,162813,154047,154047,135418,135418,119694,119694,105726,105726,92382,92382,79930,79930,73542,73542,60158,60158,46192,46192,44113,44113,24677,24677,24643,24643,23718,23718,22032,22032,13776,13776,13603,13603,10751,10751,8829,8829,5931,5931,0.0],[10108,10108,10108,9762,9762,9484,9484,9321,9321,8699,8699,8476,8476,8160,8160,7861,7861,7779,7779,7739,7739,7632,7632,7582,7582,7190,7190,6812,6812,6796,6796,6429,6429,6387,6387,6363,6363,6181,6181,6038,6038,5814,5814,5782,5782,5741,5741,5683,5683,5531,5531,5467,5467,5441,5441,5290,5290,5265,5265,5249,5249,5199,5199,5189,5189,5179,5179,5078,5078,4977,4977,4927,4927,4918,4918,4866,4866,4856,4856,4796,4796,4757,4757,4711,4711,4663,4663,4592,4592,4577,4577,4554,4554,4482,4482,4450,4450,4446,4446,4421,4421,4415,4415,4382,4382,4373,4373,4352,4352,4320,4320,4284,4284,4273,4273,4243,4243,4226,4226,4216,4216,4199,4199,4172,4172,4153,4153,4142,4142,4137,4137,4126,4126,4113,4113,4082,4082,4075,4075,3953,3953,3945,3945,3930,3930,3925,3925,3917,3917,3913,3913,3894,3894,3856,3856,3806,3806,3799,3799,3779,3779,3754,3754,3752,3752,3715,3715,3714,3714,3703,3703,3682,3682,3674,3674,3612,3612,3560,3560,3550,3550,3544,3544,3521,3521,3509,3509,3485,3485,3436,3436,3426,3426,3413,3413,3385,3385,3367,3367,3340,3340,3331,3331,3250,3250,3245,3245,3169,3169,3110,3110,3082,3082,3069,3069,3058,3058,3031,3031,3019,3019,3017,3017,3006,3006,2955,2955,2951,2951,2950,2950,2923,2923,2919,2919,2913,2913,2911,2911,2897,2897,2890,2890,2879,2879,2878,2878,2874,2874,2859,2859,2845,2845,2844,2844,2840,2840,2838,2838,2829,2829,2827,2827,2816,2816,2814,2814,2812,2812,2798,2798,2787,2787,2781,2781,2778,2778,2777,2777,2764,2764,2742,2742,2741,2741,2734,2734,2719,2719,2716,2716,2710,2710,2698,2698,2687,2687,2682,2682,2675,2675,2669,2669,2634,2634,2631,2631,2617,2617,2600,2600,2598,2598,2595,2595,2580,2580,2578,2578,2577,2577,2575,2575,2571,2571,2565,2565,2564,2564,2563,2563,2551,2551,2546,2546,2539,2539,2528,2528,2506,2506,2503,2503,2500,2500,2498,2498,2497,2497,2472,2472,2471,2471,2466,2466,2449,2449,2436,2436,2427,2427,2423,2423,2415,2415,2408,2408,2406,2406,2395,2395,2394,2394,2386,2386,2385,2385,2372,2372,2371,2371,2369,2369,2354,2354,2334,2334,2321,2321,2319,2319,2314,2314,2302,2302,2287,2287,2286,2286,2268,2268,2257,2257,2255,2255,2250,2250,2249,2249,2245,2245,2230,2230,2222,2222,2219,2219,2213,2213,2210,2210,2208,2208,2200,2200,2193,2193,2191,2191,2188,2188,2184,2184,2173,2173,2170,2170,2157,2157,2155,2155,2148,2148,2146,2146,2143,2143,2141,2141,2130,2130,2126,2126,2117,2117,2107,2107,2098,2098,2086,2086,2085,2085,2084,2084,2079,2079,2075,2075,2074,2074,2072,2072,2065,2065,2061,2061,2055,2055,2032,2032,2015,2015,2012,2012,2010,2010,2009,2009,2008,2008,2000,2000,1996,1996,1992,1992,1973,1973,1970,1970,1968,1968,1967,1967,1965,1965,1964,1964,1956,1956,1948,1948,1946,1946,1945,1945,1942,1942,1934,1934,1932,1932,1925,1925,1920,1920,1913,1913,1912,1912,1909,1909,1907,1907,1902,1902,1886,1886,1881,1881,1875,1875,1872,1872,1858,1858,1851,1851,1847,1847,1845,1845,1842,1842,1840,1840,1832,1832,1823,1823,1815,1815,1813,1813,1812,1812,1811,1811,1809,1809,1808,1808,1803,1803,1802,1802,1800,1800,1793,1793,1792,1792,1782,1782,1777,1777,1774,1774,1769,1769,1768,1768,1759,1759,1746,1746,1738,1738,1737,1737,1734,1734,1728,1728,1727,1727,1726,1726,1724,1724,1719,1719,1710,1710,1698,1698,1695,1695,1692,1692,1686,1686,1682,1682,1681,1681,1675,1675,1670,1670,1668,1668,1661,1661,1659,1659,1656,1656,1654,1654,1650,1650,1637,1637,1625,1625,1624,1624,1620,1620,1610,1610,1608,1608,1606,1606,1598,1598,1595,1595,1586,1586,1575,1575,1573,1573,1568,1568,1566,1566,1558,1558,1554,1554,1549,1549,1546,1546,1542,1542,1538,1538,1536,1536,1528,1528,1522,1522,1521,1521,1520,1520,1515,1515,1511,1511,1507,1507,1506,1506,1504,1504,0.0],[12322,12322,12322,10484,10484,9336,9336,9097,9097,9064,9064,8542,8542,8370,8370,8294,8294,8201,8201,7973,7973,7901,7901,7485,7485,7392,7392,7387,7387,7356,7356,7028,7028,6926,6926,6879,6879,6844,6844,6821,6821,6807,6807,6717,6717,6635,6635,6627,6627,6518,6518,6248,6248,6228,6228,6133,6133,6062,6062,5930,5930,5889,5889,5766,5766,5722,5722,5698,5698,5594,5594,5368,5368,5304,5304,5230,5230,5176,5176,5033,5033,5017,5017,5005,5005,4990,4990,4987,4987,4976,4976,4965,4965,4909,4909,4887,4887,4732,4732,4683,4683,4664,4664,4597,4597,4568,4568,4497,4497,4491,4491,4467,4467,4466,4466,4460,4460,4459,4459,4458,4458,4424,4424,4378,4378,4371,4371,4362,4362,4354,4354,4320,4320,4314,4314,4306,4306,4305,4305,4275,4275,4264,4264,4251,4251,4209,4209,4155,4155,4123,4123,4100,4100,4078,4078,4052,4052,4025,4025,4005,4005,4001,4001,3995,3995,3919,3919,3904,3904,3878,3878,3818,3818,3806,3806,3773,3773,3758,3758,3757,3757,3747,3747,3744,3744,3737,3737,3733,3733,3728,3728,3709,3709,3697,3697,3666,3666,3652,3652,3608,3608,3560,3560,3554,3554,3510,3510,3503,3503,3492,3492,3473,3473,3461,3461,3450,3450,3438,3438,3430,3430,3375,3375,3360,3360,3347,3347,3316,3316,3307,3307,3305,3305,3270,3270,3255,3255,3253,3253,3232,3232,3227,3227,3221,3221,3218,3218,3204,3204,3201,3201,3195,3195,3188,3188,3177,3177,3171,3171,3160,3160,3152,3152,3148,3148,3131,3131,3129,3129,3123,3123,3109,3109,3088,3088,3087,3087,3075,3075,3055,3055,3035,3035,3030,3030,3024,3024,3009,3009,2998,2998,2994,2994,2977,2977,2962,2962,2941,2941,2939,2939,2930,2930,2927,2927,2918,2918,2902,2902,2898,2898,2895,2895,2883,2883,2879,2879,2877,2877,2873,2873,2864,2864,2853,2853,2842,2842,2838,2838,2821,2821,2811,2811,2800,2800,2798,2798,2787,2787,2765,2765,2759,2759,2755,2755,2751,2751,2746,2746,2743,2743,2704,2704,2699,2699,2689,2689,2680,2680,2673,2673,2670,2670,2667,2667,2662,2662,2654,2654,2653,2653,2619,2619,2615,2615,2606,2606,2603,2603,2586,2586,2552,2552,2551,2551,2545,2545,2530,2530,2526,2526,2521,2521,2511,2511,2507,2507,2500,2500,2498,2498,2497,2497,2490,2490,2480,2480,2471,2471,2468,2468,2425,2425,2409,2409,2403,2403,2399,2399,2389,2389,2388,2388,2386,2386,2371,2371,2361,2361,2346,2346,2339,2339,2336,2336,2328,2328,2322,2322,2321,2321,2317,2317,2315,2315,2298,2298,2276,2276,2274,2274,2241,2241,2233,2233,2226,2226,2222,2222,2211,2211,2203,2203,2199,2199,2198,2198,2196,2196,2191,2191,2186,2186,2182,2182,2181,2181,2170,2170,2169,2169,2150,2150,2130,2130,2127,2127,2125,2125,2115,2115,2106,2106,2102,2102,2096,2096,2094,2094,2087,2087,2082,2082,2068,2068,2060,2060,2059,2059,2052,2052,2032,2032,2030,2030,2027,2027,2017,2017,2015,2015,2012,2012,2010,2010,1997,1997,1988,1988,1970,1970,1968,1968,1960,1960,1959,1959,1956,1956,1949,1949,1940,1940,1931,1931,1928,1928,1924,1924,1923,1923,1904,1904,1889,1889,1885,1885,1884,1884,1883,1883,1880,1880,1874,1874,1869,1869,1867,1867,1864,1864,1863,1863,1862,1862,1831,1831,1823,1823,1822,1822,1821,1821,1818,1818,1812,1812,1811,1811,1805,1805,1804,1804,1803,1803,1802,1802,1797,1797,1795,1795,1791,1791,1782,1782,1772,1772,1771,1771,1770,1770,1763,1763,1762,1762,1750,1750,1731,1731,1721,1721,1715,1715,1692,1692,1684,1684,1682,1682,1680,1680,1679,1679,1675,1675,1671,1671,1665,1665,1661,1661,1659,1659,1655,1655,1647,1647,1644,1644,1643,1643,1639,1639,1637,1637,1635,1635,1632,1632,1631,1631,1619,1619,1618,1618,1616,1616,1612,1612,1610,1610,1592,1592,1588,1588,1580,1580,1576,1576,1572,1572,1571,1571,1566,1566,1558,1558,1557,1557,1552,1552,1546,1546,1544,1544,1542,1542,1541,1541,1537,1537,1535,1535,1527,1527,1525,1525,1524,1524,1521,1521,1505,1505,1504,1504,1503,1503,0.0],[76340,76340,76340,47152,47152,46986,46986,45474,45474,40683,40683,40526,40526,37757,37757,34977,34977,30831,30831,28728,28728,28164,28164,27579,27579,26035,26035,25694,25694,24462,24462,24432,24432,22865,22865,22051,22051,21986,21986,21819,21819,20704,20704,20265,20265,20091,20091,19824,19824,19404,19404,18928,18928,18476,18476,18281,18281,18143,18143,18063,18063,17390,17390,17348,17348,16169,16169,15968,15968,15672,15672,15375,15375,15014,15014,14724,14724,13919,13919,13585,13585,13476,13476,13343,13343,13017,13017,12915,12915,12747,12747,12746,12746,12266,12266,11856,11856,11824,11824,11821,11821,11670,11670,11326,11326,11055,11055,10633,10633,10582,10582,10503,10503,10403,10403,10390,10390,10206,10206,10053,10053,9899,9899,9611,9611,9578,9578,9550,9550,9501,9501,9351,9351,9245,9245,9207,9207,9180,9180,9016,9016,8895,8895,8585,8585,8462,8462,8456,8456,8334,8334,8056,8056,8042,8042,7961,7961,7470,7470,7337,7337,7280,7280,7256,7256,6970,6970,6957,6957,6821,6821,6797,6797,6642,6642,6519,6519,6455,6455,6401,6401,6376,6376,6310,6310,6175,6175,6062,6062,6045,6045,5977,5977,5775,5775,5722,5722,5650,5650,5625,5625,5568,5568,5513,5513,5450,5450,5244,5244,5186,5186,5102,5102,4880,4880,4787,4787,4559,4559,4520,4520,4450,4450,4349,4349,4300,4300,4286,4286,4165,4165,4056,4056,4027,4027,4004,4004,3804,3804,3780,3780,3623,3623,3616,3616,3411,3411,3396,3396,3327,3327,3258,3258,3186,3186,3101,3101,3028,3028,3026,3026,2987,2987,2924,2924,2750,2750,2735,2735,2717,2717,2704,2704,2647,2647,2532,2532,2484,2484,2460,2460,2374,2374,2332,2332,2189,2189,2126,2126,2084,2084,2051,2051,2035,2035,1992,1992,1960,1960,1943,1943,1654,1654,1529,1529,1503,1503,0.0],[270436,270436,270436,210156,210156,163883,163883,162859,162859,138615,138615,135427,135427,105701,105701,100573,100573,92969,92969,83003,83003,79930,79930,60157,60157,43031,43031,31421,31421,24645,24645,21485,21485,14047,14047,13602,13602,13120,13120,10702,10702,5625,5625,2249,2249,1864,1864,0.0],[91261,91261,91261,66075,66075,62522,62522,60141,60141,52782,52782,50981,50981,50231,50231,46585,46585,45589,45589,43773,43773,41355,41355,37232,37232,36058,36058,35019,35019,32135,32135,31790,31790,31487,31487,29999,29999,24266,24266,23882,23882,23460,23460,22702,22702,21831,21831,21458,21458,20939,20939,20457,20457,20296,20296,20047,20047,20002,20002,17916,17916,17689,17689,17346,17346,17082,17082,16898,16898,16335,16335,15191,15191,14974,14974,14680,14680,14596,14596,13638,13638,13299,13299,13233,13233,12962,12962,12365,12365,11541,11541,11384,11384,11309,11309,11240,11240,10860,10860,10713,10713,10523,10523,10343,10343,9836,9836,9078,9078,8914,8914,8741,8741,8596,8596,8373,8373,7441,7441,7377,7377,7370,7370,7238,7238,7230,7230,6929,6929,5965,5965,5813,5813,5428,5428,5333,5333,4947,4947,4815,4815,4629,4629,4308,4308,4157,4157,4146,4146,4052,4052,4048,4048,3955,3955,3629,3629,3556,3556,3156,3156,3125,3125,3119,3119,3093,3093,2924,2924,2918,2918,2858,2858,2684,2684,2612,2612,2514,2514,2483,2483,2112,2112,2053,2053,2050,2050,1947,1947,1875,1875,1845,1845,1805,1805,1775,1775,1607,1607,1580,1580,1575,1575,1542,1542,0.0],[28771,28771,28771,24472,24472,23393,23393,22318,22318,22128,22128,20829,20829,20292,20292,19848,19848,19403,19403,17637,17637,17465,17465,17275,17275,16267,16267,15833,15833,15636,15636,14973,14973,14964,14964,14102,14102,13930,13930,13141,13141,12934,12934,12830,12830,12792,12792,12565,12565,12285,12285,12241,12241,12012,12012,11802,11802,11694,11694,11626,11626,11256,11256,11243,11243,11241,11241,10706,10706,10617,10617,10524,10524,10480,10480,10475,10475,10343,10343,10303,10303,10181,10181,10104,10104,10101,10101,9994,9994,9983,9983,9889,9889,9697,9697,9481,9481,9442,9442,9094,9094,9073,9073,9040,9040,9015,9015,8964,8964,8895,8895,8669,8669,8645,8645,8620,8620,8289,8289,8223,8223,8153,8153,8015,8015,7820,7820,7797,7797,7795,7795,7718,7718,7511,7511,7438,7438,7433,7433,7053,7053,6987,6987,6925,6925,6893,6893,6878,6878,6606,6606,6592,6592,6469,6469,6296,6296,6241,6241,6020,6020,6009,6009,5867,5867,5842,5842,5826,5826,5815,5815,5770,5770,5741,5741,5709,5709,5698,5698,5670,5670,5550,5550,5513,5513,5505,5505,5497,5497,5437,5437,5359,5359,5342,5342,5337,5337,5309,5309,5303,5303,5123,5123,5084,5084,5076,5076,5002,5002,4959,4959,4937,4937,4901,4901,4889,4889,4874,4874,4854,4854,4819,4819,4808,4808,4800,4800,4718,4718,4684,4684,4636,4636,4617,4617,4543,4543,4504,4504,4482,4482,4430,4430,4419,4419,4375,4375,4357,4357,4321,4321,4316,4316,4200,4200,4123,4123,4113,4113,4088,4088,4038,4038,4021,4021,4005,4005,3976,3976,3953,3953,3925,3925,3912,3912,3888,3888,3818,3818,3796,3796,3724,3724,3663,3663,3658,3658,3625,3625,3537,3537,3524,3524,3520,3520,3518,3518,3513,3513,3508,3508,3474,3474,3438,3438,3437,3437,3436,3436,3418,3418,3401,3401,3336,3336,3278,3278,3277,3277,3272,3272,3249,3249,3224,3224,3162,3162,3142,3142,3112,3112,3095,3095,3084,3084,3079,3079,3046,3046,3040,3040,3027,3027,3001,3001,2993,2993,2981,2981,2965,2965,2955,2955,2896,2896,2886,2886,2874,2874,2847,2847,2842,2842,2811,2811,2793,2793,2773,2773,2772,2772,2753,2753,2752,2752,2740,2740,2734,2734,2657,2657,2630,2630,2568,2568,2559,2559,2536,2536,2528,2528,2464,2464,2449,2449,2439,2439,2438,2438,2413,2413,2357,2357,2350,2350,2327,2327,2322,2322,2315,2315,2308,2308,2301,2301,2298,2298,2283,2283,2276,2276,2242,2242,2183,2183,2174,2174,2157,2157,2103,2103,2057,2057,2042,2042,2039,2039,2016,2016,2008,2008,1961,1961,1919,1919,1906,1906,1866,1866,1853,1853,1831,1831,1830,1830,1821,1821,1819,1819,1779,1779,1751,1751,1748,1748,1709,1709,1701,1701,1695,1695,1671,1671,1650,1650,1649,1649,1636,1636,1608,1608,1606,1606,1600,1600,1595,1595,1586,1586,1581,1581,1575,1575,1535,1535,1534,1534,1528,1528,0.0],[27479,27479,27479,14928,14928,13072,13072,12180,12180,11822,11822,10866,10866,10663,10663,10535,10535,10516,10516,10303,10303,10041,10041,9838,9838,9706,9706,9679,9679,9606,9606,9193,9193,9184,9184,8708,8708,8653,8653,8536,8536,8326,8326,8319,8319,8128,8128,8125,8125,7584,7584,7464,7464,7448,7448,7358,7358,7354,7354,7313,7313,7300,7300,7187,7187,7135,7135,7133,7133,7107,7107,7043,7043,7038,7038,7002,7002,6945,6945,6877,6877,6867,6867,6732,6732,6712,6712,6660,6660,6526,6526,6506,6506,6462,6462,6385,6385,6260,6260,6175,6175,6140,6140,6128,6128,6109,6109,6092,6092,6087,6087,6077,6077,6024,6024,5999,5999,5909,5909,5870,5870,5802,5802,5790,5790,5768,5768,5737,5737,5730,5730,5720,5720,5663,5663,5622,5622,5592,5592,5583,5583,5463,5463,5461,5461,5426,5426,5417,5417,5410,5410,5391,5391,5344,5344,5332,5332,5288,5288,5266,5266,5169,5169,5156,5156,5146,5146,5093,5093,5036,5036,5010,5010,4965,4965,4925,4925,4918,4918,4912,4912,4720,4720,4681,4681,4667,4667,4621,4621,4595,4595,4594,4594,4570,4570,4546,4546,4511,4511,4504,4504,4476,4476,4458,4458,4447,4447,4440,4440,4412,4412,4411,4411,4403,4403,4351,4351,4299,4299,4273,4273,4259,4259,4247,4247,4228,4228,4221,4221,4212,4212,4205,4205,4203,4203,4164,4164,4121,4121,4119,4119,4101,4101,4032,4032,4013,4013,4008,4008,3997,3997,3986,3986,3983,3983,3971,3971,3937,3937,3936,3936,3908,3908,3904,3904,3840,3840,3834,3834,3813,3813,3812,3812,3773,3773,3766,3766,3740,3740,3728,3728,3708,3708,3704,3704,3686,3686,3668,3668,3651,3651,3583,3583,3578,3578,3559,3559,3547,3547,3546,3546,3538,3538,3525,3525,3509,3509,3508,3508,3499,3499,3479,3479,3476,3476,3471,3471,3446,3446,3419,3419,3416,3416,3413,3413,3376,3376,3368,3368,3361,3361,3358,3358,3292,3292,3270,3270,3198,3198,3194,3194,3184,3184,3156,3156,3140,3140,3138,3138,3133,3133,3116,3116,3112,3112,3106,3106,3099,3099,3080,3080,3076,3076,3042,3042,3015,3015,3014,3014,3002,3002,2992,2992,2982,2982,2947,2947,2927,2927,2920,2920,2907,2907,2873,2873,2869,2869,2865,2865,2859,2859,2843,2843,2826,2826,2819,2819,2797,2797,2795,2795,2791,2791,2788,2788,2787,2787,2752,2752,2724,2724,2722,2722,2707,2707,2702,2702,2700,2700,2693,2693,2692,2692,2690,2690,2676,2676,2671,2671,2664,2664,2663,2663,2653,2653,2652,2652,2650,2650,2646,2646,2642,2642,2621,2621,2607,2607,2604,2604,2594,2594,2584,2584,2562,2562,2545,2545,2542,2542,2527,2527,2522,2522,2508,2508,2493,2493,2475,2475,2463,2463,2453,2453,2444,2444,2435,2435,2411,2411,2400,2400,2399,2399,2395,2395,2393,2393,2388,2388,2387,2387,2383,2383,2369,2369,2366,2366,2359,2359,2357,2357,2355,2355,2354,2354,2353,2353,2350,2350,2329,2329,2327,2327,2319,2319,2317,2317,2310,2310,2307,2307,2305,2305,2304,2304,2302,2302,2281,2281,2276,2276,2274,2274,2266,2266,2255,2255,2254,2254,2248,2248,2216,2216,2211,2211,2209,2209,2203,2203,2196,2196,2180,2180,2175,2175,2166,2166,2162,2162,2150,2150,2147,2147,2109,2109,2089,2089,2082,2082,2076,2076,2072,2072,2060,2060,2053,2053,2034,2034,2031,2031,2020,2020,2018,2018,2016,2016,2004,2004,1996,1996,1986,1986,1985,1985,1983,1983,1959,1959,1949,1949,1945,1945,1940,1940,1939,1939,1936,1936,1932,1932,1929,1929,1920,1920,1916,1916,1914,1914,1910,1910,1901,1901,1882,1882,1838,1838,1819,1819,1818,1818,1814,1814,1813,1813,1806,1806,1791,1791,1787,1787,1780,1780,1773,1773,1764,1764,1762,1762,1756,1756,1731,1731,1711,1711,1699,1699,1696,1696,1687,1687,1684,1684,1680,1680,1676,1676,1665,1665,1661,1661,1652,1652,1650,1650,1648,1648,1642,1642,1639,1639,1627,1627,1620,1620,1618,1618,1612,1612,1610,1610,1608,1608,1601,1601,1599,1599,1598,1598,1595,1595,1594,1594,1584,1584,1576,1576,1573,1573,1565,1565,1564,1564,1562,1562,1561,1561,1558,1558,1550,1550,1531,1531,1509,1509,1508,1508,1507,1507,1502,1502,0.0],[274198,274198,274198,264044,264044,177316,177316,175970,175970,136373,136373,119647,119647,107051,107051,72307,72307,50096,50096,45207,45207,42164,42164,36522,36522,24643,24643,18317,18317,18265,18265,17409,17409,16283,16283,13623,13623,13290,13290,10750,10750,10343,10343,10018,10018,7902,7902,6758,6758,5801,5801,5453,5453,4580,4580,4271,4271,3195,3195,3107,3107,2841,2841,2729,2729,0.0],[134741,134741,134741,124694,124694,102364,102364,93752,93752,92533,92533,77140,77140,71502,71502,70378,70378,57134,57134,56488,56488,55534,55534,55497,55497,46585,46585,46573,46573,44867,44867,41135,41135,31568,31568,30646,30646,27848,27848,27193,27193,26408,26408,25676,25676,24642,24642,23212,23212,21591,21591,20796,20796,19923,19923,18813,18813,17375,17375,15534,15534,15104,15104,14894,14894,14119,14119,13623,13623,13299,13299,11396,11396,11195,11195,10826,10826,10704,10704,10556,10556,10343,10343,8232,8232,7245,7245,6408,6408,5453,5453,5389,5389,5344,5344,4891,4891,4647,4647,4450,4450,3464,3464,3164,3164,3125,3125,3107,3107,2967,2967,2659,2659,2605,2605,2576,2576,2460,2460,2274,2274,2266,2266,1852,1852,1828,1828,1657,1657,1619,1619,1595,1595,1580,1580,1574,1574,1501,1501,0.0],[275228,275228,275228,221102,221102,190009,190009,136373,136373,130739,130739,124559,124559,107050,107050,77553,77553,47109,47109,46586,46586,40561,40561,39970,39970,34168,34168,24643,24643,18267,18267,17377,17377,13623,13623,13290,13290,10750,10750,10343,10343,8964,8964,8696,8696,8265,8265,5453,5453,5361,5361,4985,4985,4902,4902,3195,3195,3107,3107,2122,2122,1585,1585,0.0]],"filenames":["extra_ERR1806394.25","extra_SRR2174313.4","extra_SRR2174314.14","extra_SRR2174315.7","extra_SRR2174317.1","extra_SRR2174320.38","extra_SRR2174321.10","extra_SRR5580761.114","extra_SRR5580762.42","extra_SRR5580763.92","extra_SRR5925326.20","extra_SRR5927679.39","extra_SRR5927681.71","extra_SRR5927682.28","extra_SRR5927686.74","extra_SRR5927689.35","extra_SRR5927690.6","extra_SRR5927696.30","extra_SRR5927698.79","extra_SRR5927701.10","extra_SRR5927702.80","extra_SRR5927704.2","extra_SRR5927705.1","extra_SRR5927707.30","extra_SRR5927708.48","extra_SRR5927709.41","extra_SRR5927712.38","extra_SRR5927714.26","extra_SRR5927715.35","extra_SRR5927718.58","extra_SRR6032568.47","extra_SRR6032569.13","extra_SRR6032570.31","extra_SRR6032571.9","extra_SRR6032572.43","extra_SRR6032575.4","extra_SRR6032579.13","extra_SRR6032581.14","extra_SRR6032583.10","extra_SRR6032588.12","extra_SRR6032598.1","extra_SRR6945401.17","iMGMC_978","single_China_S_Fe11_120417.17","single_China_S_Fe12_120417.16","single_China_S_Fe13_120417.57","single_China_S_Fe14_120416.68","single_China_S_Fe16_120417.26","single_China_S_Fe20_120416.35","single_wildmice_C1220.78","single_wildmice_C1224.60","single_wildmice_C1226.64","single_wildmice_C1231.76","single_wildmice_C1239.77","single_wildmice_C1243.78"]}
{"coord_x":[[0.0,1e-10,0.724399242751839,0.724399242851839,1.3994973170604275,1.3994973171604275,1.987498513183477,1.987498513283477,2.5328683719942684,2.5328683720942684,3.075959371835304,3.075959371935304,3.591870809817547,3.591870809917547,4.104058258751652,4.104058258851652,4.569556889768813,4.569556889868813,5.0332213172249505,5.0332213173249505,5.4815451330798055,5.4815451331798055,5.921031422686097,5.921031422786097,6.347455959660861,6.347455959760861,6.768878123287382,6.768878123387382,7.188410501426788,7.188410501526788,7.602440268883126,7.602440268983126,7.981786914458304,7.981786914558304,8.356020022833055,8.356020022933055,8.716413231610998,8.716413231710998,9.075583638014924,9.075583638114924,9.425527444687646,9.425527444787646,9.767967691338,9.767967691438,10.109407463318707,10.109407463418707,10.446678590842545,10.446678590942545,10.783782972588106,10.783782972688106,11.118386167659546,11.118386167759546,11.44932095560894,11.44932095570894,11.779755506223509,11.779755506323509,12.102519751037436,12.102519751137436,12.425172831999182,12.425172832099182,12.739377460195003,12.739377460295003,13.052248122164627,13.052248122264627,13.363451326351502,13.363451326451502,13.67337614623827,13.67337614633827,13.980855361377008,13.980855361477008,14.286722700659091,14.286722700759091,14.589699779784409,14.589699779884409,14.89073149149652,14.89073149159652,15.191429711652084,15.191429711752084,15.490293728246623,15.490293728346623,15.788435179801972,15.788435179901972,16.07968447252196,16.07968447262196,16.369377471311388,16.369377471411386,16.65790324965289,16.657903249752888,16.9457064629552,16.9457064630552,17.23262036544005,17.232620365540047,17.519478685998802,17.5194786860988,17.804280475292167,17.804280475392165,18.079411009445593,18.07941100954559,18.35426363396856,18.35426363406856,18.628393693452338,18.628393693552336,18.901523278266467,18.901523278366465,19.17092887403246,19.170928874132457,19.43755537349387,19.437555373593867,19.703959545250914,19.703959545350912,19.966695309885914,19.966695309985912,20.22843059985126,20.22843059995126,20.48966565248179,20.489665652581788,20.750011394294848,20.750011394394846,21.009801316846993,21.00980131694699,21.269480075546955,21.269480075646953,21.52410087897258,21.524100879072577,21.777387716172004,21.777387716272003,22.030507807593157,22.030507807693155,22.277235977513776,22.277235977613774,22.770192080020188,22.770192080120186,23.015864193345063,23.01586419344506,23.260091176591562,23.26009117669156,23.502873029759677,23.502873029859675,23.744709990184234,23.744709990284232,23.985768803643506,23.985768803743504,24.226660871324505,24.226660871424503,24.46688595589241,24.466885955992407,24.70605498386457,24.706054983964567,24.94433470101926,24.94433470111926,25.181780689282583,25.18178068938258,25.41883760406326,25.418837604163258,25.6541714791351,25.6541714792351,25.889283026502575,25.889283026602573,26.123894336535223,26.12389433663522,26.35811657308523,26.358116573185228,26.59100484340904,26.591004843509037,26.823226130619748,26.823226130719746,27.054224615456445,27.054224615556443,27.283944715993034,27.283944716093032,27.510663392520673,27.51066339262067,27.736992995565675,27.736992995665673,27.962989107054124,27.962989107154122,28.188707308912118,28.188707309012116,28.414203183065744,28.414203183165743,28.638309509067078,28.638309509167076,28.862304671216233,28.86230467131623,29.082020025056334,29.082020025156332,29.301123977709423,29.30112397780942,29.520061184584243,29.52006118468424,29.738776063754692,29.73877606385469,29.95637930440331,29.956379304503308,30.172203923416998,30.172203923516996,30.387139231613222,30.38713923171322,30.602018957883352,30.60201895798335,30.816676356449115,30.816676356549113,31.030277698419138,31.030277698519136,31.24382345846307,31.243823458563067,31.45731363658091,31.457313636680908,31.67035915929002,31.670359159390017,31.882626535033843,31.88262653513384,32.0933376168471,32.0933376169471,32.3024924047298,32.3024924048298,32.51131370105595,32.51131370115595,32.718467539599345,32.71846753969935,32.92512114080792,32.92512114090792,33.131496832386034,33.131496832486036,33.33698321314668,33.33698321324668,33.542358430055145,33.54235843015515,33.74723340962879,33.74723340972879,33.94999627601095,33.94999627611095,34.152036577353925,34.15203657745393,34.35396571484471,34.353965714944714,34.55533903307458,34.55533903317458,34.755656294708714,34.755656294808716,34.955751228638476,34.95575122873848,35.154289868637676,35.15428986873768,35.3519947797455,35.351994779845505,35.547809905366215,35.54780990546622,35.743458285208646,35.74345828530865,35.939051083124994,35.939051083224996,36.13303200518468,36.13303200528468,36.32695734531828,36.32695734541828,36.520326866190956,36.52032686629096,36.71225125698526,36.71225125708526,36.902952845405544,36.902952845505546,37.09187581219089,37.091875812290894,37.280687615124066,37.28068761522407,37.467554050644026,37.46755405074403,37.653809084976984,37.653809085076986,37.840008537383845,37.84000853748385,38.02548542475152,38.025485424851524,38.21085114826701,38.21085114836701,38.39610570793032,38.39610570803032,38.57947048210651,38.57947048220651,38.762557346652244,38.762557346752246,38.94475490038052,38.94475490048052,39.12545174210431,39.12545174220431,39.30587067419765,39.30587067429765,39.48623402436489,39.48623402446489,39.666486210679956,39.66648621077996,39.846682815068924,39.846682815168926,40.02637918212307,40.026379182223074,40.20535298413803,40.20535298423803,40.38371538496598,40.38371538506598,40.56179987616347,40.56179987626347,40.73927296617395,40.73927296627395,40.91619023692352,40.91619023702352,41.09227377878171,41.09227377888171,41.26819057486163,41.26819057496163,41.44382946131109,41.44382946141109,41.61930160198227,41.619301602082274,41.79466257880127,41.794662578901274,41.96913424480281,41.96913424490281,42.14266101806079,42.142661018160794,42.31446475160993,42.314464751709934,42.48599057552861,42.48599057562861,42.657238489816834,42.657238489916836,42.8282084944746,42.8282084945746,43.16931477489876,43.16931477499876,43.339284304886874,43.339284304986876,43.50864243368798,43.50864243378798,43.67677776011508,43.67677776021508,43.84485750461608,43.84485750471608,44.01277050333881,44.01277050343881,44.18029442857889,44.18029442867889,44.34748486226243,44.34748486236243,44.514286222463326,44.51428622256333,44.68097641881204,44.68097641891204,44.84694405012156,44.84694405022156,45.01196678868752,45.011966788787525,45.17676719954912,45.17676719964912,45.340455971888886,45.34045597198889,45.504089162302556,45.50408916240256,45.66699978767704,45.666999787777044,45.82985483112543,45.82985483122543,45.99209847338682,45.99209847348682,46.15323047712637,46.15323047722637,46.313639915826734,46.313639915926736,46.47349353526618,46.47349353536618,46.63206877040552,46.63206877050552,46.79019935013612,46.79019935023612,46.947885274457995,46.947885274558,47.105070961445044,47.105070961545046,47.26120059183635,47.26120059193635,47.41710789452329,47.41710789462329,47.57234821409713,47.572348214197135,47.7274217878927,47.727421787992704,47.881939542427354,47.881939542527356,48.036401715035915,48.036401715135916,48.19041923223574,48.19041923233574,48.342991619357186,48.34299161945719,48.49473027758726,48.49473027768726,48.646413353891234,48.646413353991235,48.79792968441694,48.797929684516944,48.94939043301655,48.949390433116555,49.251811692880956,49.25181169298096,49.55367713348444,49.55367713358444,49.7035260062274,49.7035260063274,49.85220765852243,49.85220765862243,50.00055581926092,50.00055581936092,50.148348160738486,50.14834816083849,50.29586259258559,50.295862592685594,50.44182073050214,50.44182073060214,50.58688955760122,50.58688955770122,50.731569311217655,50.73156931131766,50.875026262460075,50.87502626256008,51.017927394441585,51.01792739454159,51.160661780644816,51.16066178074482,51.3023956921784,51.3023956922784,51.44385169408152,51.443851694181525,51.584751876723736,51.58475187682374,51.72515182203112,51.725151822131124,51.865107111929774,51.865107112029776,52.004395418715326,52.00439541881533,52.14346139779651,52.14346139789651,52.28224946724724,52.28224946734724,52.42087079091969,52.420870791019695,52.559380950739964,52.559380950839966,52.6967794720384,52.6967794721384,52.834011247558564,52.834011247658566,52.97118744115264,52.97118744125264,53.10747432392924,53.10747432402924,53.243372133223204,53.243372133323206,53.3784362136258,53.3784362137258,53.5134447121023,53.5134447122023,53.64828646480052,53.64828646490052,53.782739144016105,53.78273914411611,53.91663600397077,53.916636004070774,54.050254954294985,54.05025495439499,54.18298459380173,54.18298459390173,54.31510283212146,54.31510283222146,54.447165488515104,54.447165488615106,54.57828325216519,54.578283252265194,54.70923427003701,54.70923427013701,54.83929597709135,54.839295977191355,54.96852395525433,54.96852395535433,55.097307278008564,55.097307278108566,55.22586827305844,55.22586827315844,55.35420694040395,55.35420694050395,55.482267698118996,55.482267698219,55.61027287390795,55.610272874007954,55.738111303918636,55.73811130401864,55.86517158696404,55.86517158706404,55.99217628808334,55.992176288183344,56.11879191572002,56.11879191582002,56.245296379504495,56.2452963796045,56.37118944210197,56.371189442201974,56.4967490131429,56.496749013242905,56.62169718299682,56.62169718309682,56.74631186129419,56.74631186139419,56.87031513840456,56.87031513850456,56.993762596254,56.993762596354,57.239712619209335,57.23971261930934,57.36160378312822,57.36160378322822,57.48343936512101,57.48343936522101,57.60516378326162,57.60516378336162,57.726777037550036,57.72677703765004,57.84822354606018,57.848223546160185,57.968947489531146,57.96894748963115,58.08961585107601,58.08961585117601,58.20983955721214,58.209839557312144,58.32978535371782,58.32978535381782,58.44956440444522,58.44956440454522,58.56928787324653,58.56928787334653,58.68878901434347,58.68878901444347,58.808012245809955,58.80801224590996,58.926068256828515,58.92606825692852,59.04317937510352,59.04317937520352,59.15967909219152,59.15967909229152,59.27584531772296,59.27584531782296,59.39167805169786,59.39167805179786,59.5072328760423,59.507232876142304,59.621731643791,59.621731643891,59.73606366576142,59.73606366586142,59.8500066142492,59.850006614349205,59.96350490732826,59.96350490742826,60.07605830766375,60.07605830776375,60.18827821644269,60.18827821654269,60.4125512882223,60.412551288322305,60.52454886929688,60.52454886939688,60.63604621303663,60.63604621313663,60.85865182703349,60.85865182713349,61.08053487599116,61.080534876091164,61.19047592580035,61.19047592590035,61.300361393683445,61.30036139378345,61.41013569771436,61.41013569781436,61.519743255967,61.519743256067,61.62840592147608,61.62840592157608,61.73673509542861,61.73673509552861,61.84495310552896,61.84495310562896,62.060499814912184,62.060499815012186,62.16738385878634,62.16738385888634,62.2741567388083,62.2741567389083,62.38059612727372,62.38059612737372,62.593363740352366,62.59336374045237,62.699191727630776,62.69919172773078,62.91029188292668,62.91029188302668,63.01423008471797,63.014230084817974,63.117834794952714,63.117834795052715,63.324599560013475,63.32459956011348,63.42753728713512,63.42753728723512,63.53014152270021,63.530141522800214,63.631800865521754,63.631800865621756,63.733349044491106,63.73334904459111,63.834674895756095,63.8346748958561,63.9358895831689,63.9358895832689,64.03693752480343,64.03693752490344,64.13787430258579,64.13787430268579,64.23847758881158,64.23847758891158,64.3389697111852,64.3389697112852,64.43923950585445,64.43923950595445,64.53856440778013,64.53856440788013,64.63644417962745,64.63644417972745,64.73426836954866,64.73426836964866,64.83142557635678,64.83142557645678,64.9279158000518,64.92791580015181,65.02407253219027,65.02407253229028,65.1198401908461,65.1198401909461,65.31126434430557,65.31126434440557,65.40647618370049,65.40647618380049,65.59595496974676,65.59595496984676,65.784210953419,65.78421095351901,65.97202228168253,65.97202228178253,66.0648996801816,66.0648996802816,66.25048773140145,66.25048773150145,66.43557554528648,66.43557554538648,66.52778596067245,66.52778596077245,66.61971846642795,66.61971846652796,66.71137306255301,66.71137306265301,66.80263858519542,66.80263858529543,66.89340387050301,66.89340387060301,66.98394682810623,66.98394682820623,67.07443420378335,67.07443420388336,67.16486599753439,67.1648659976344,67.25524220935932,67.25524220945933,67.34528492962772,67.34528492972773,67.43449392100474,67.43449392110475,67.52353616660349,67.5235361667035,67.61218933871959,67.61218933881959,67.70000878194432,67.70000878204432,67.78727240590814,67.78727240600814,67.87442486601977,67.87442486611977,67.96146616227921,67.96146616237921,68.04845187661257,68.04845187671258,68.13527084516765,68.13527084526766,68.22203423179664,68.22203423189664,68.39550542312853,68.39550542322853,68.48215764590533,68.48215764600533,68.56875428675605,68.56875428685605,68.6550730179763,68.65507301807631,68.74128058534438,68.74128058544439,68.82687675152545,68.82687675162545,68.91236175385433,68.91236175395433,68.99756884655275,68.99756884665275,69.08272035732509,69.08272035742509,69.16776070424524,69.16776070434524,69.2526343053871,69.2526343054871,69.33717441497244,69.33717441507244,69.42165894263167,69.42165894273167,69.50597672451264,69.50597672461264,69.5902389244675,69.5902389245675,69.67411205093973,69.67411205103973,69.75792959548586,69.75792959558586,69.84152481232762,69.84152481242762,70.00860408215898,70.00860408225898,70.09203255322247,70.09203255332247],[0.0,1e-10,1.188563907542801,1.188563907642801,2.3659558479411897,2.3659558480411897,3.477538787847123,3.477538787947123,4.454780212389656,4.454780212489656,5.323525717201384,5.323525717301384,6.17070543468957,6.17070543478957,7.017051423286381,7.017051423386381,7.859951332465514,7.859951332565514,8.643767654209276,8.643767654309276,9.410687070421188,9.410687070521188,10.164711479779852,10.164711479879852,10.914956318164284,10.914956318264284,11.638355086246476,11.638355086346476,12.361531526624299,12.3615315267243,13.048023895781665,13.048023895881665,13.734238355308575,13.734238355408575,14.401832869594797,14.401832869694797,15.059255891406256,15.059255891506256,15.712899342243487,15.712899342343487,16.348700994805313,16.34870099490531,16.975331629562024,16.975331629662023,17.58773329123929,17.587733291339287,18.185794815984917,18.185794816084915,18.78357843110009,18.783578431200088,19.370801480257857,19.370801480357855,19.940349476918495,19.940349477018493,20.504783936378704,20.504783936478702,21.06871815850409,21.06871815860409,21.632263307146836,21.632263307246834,22.184803234423445,22.184803234523443,22.735008720804203,22.7350087209042,23.27159663529252,23.27159663539252,23.802404029467315,23.802404029567313,24.323429004649984,24.323429004749983,24.842175120862898,24.842175120962896,25.360365417814897,25.360365417914895,25.874887307644848,25.874887307744846,26.38902012399216,26.38902012409216,26.89853964047387,26.89853964057387,27.39810999218518,27.39810999228518,27.888731653795745,27.888731653895743,28.37451768783634,28.37451768793634,28.858525100242005,28.858525100342003,29.33508453455139,29.33508453465139,29.809031618334476,29.809031618434474,30.26808274592501,30.26808274602501,30.726633636180722,30.72663363628072,31.185073362584248,31.185073362684246,31.632896941104278,31.632896941204276,32.073383705380216,32.07338370548022,32.50553318074242,32.50553318084242,32.936515435656695,32.9365154357567,33.3646630123403,33.3646630124403,33.79225476976299,33.79225476986299,34.214288334576516,34.21428833467652,34.635377006646486,34.63537700674649,35.05518729441635,35.05518729451635,35.47471967255576,35.47471967265576,35.88808245689899,35.888082456998994,36.291440494545746,36.29144049464575,36.69452062256204,36.69452062266204,37.09621120242604,37.09621120252604,37.494455702872365,37.49445570297237,37.8839738409223,37.8839738410223,38.27326965126788,38.27326965136788,38.66017543879151,38.660175438891514,39.04580284201504,39.045802842115044,39.42342644788138,39.423426447981385,39.79432464069064,39.79432464079064,40.16483376001725,40.164833760117254,40.53211912763055,40.53211912773055,40.89518026886089,40.89518026896089,41.25785233660859,41.257852336708595,41.620357658578016,41.62035765867802,41.982696234769165,41.98269623486917,42.34453457362549,42.34453457372549,42.70598383899917,42.70598383909917,43.06726635859458,43.06726635869458,43.427770731224705,43.427770731324706,43.77665848130169,43.77665848140169,44.122767135074085,44.12276713517409,44.46831996958557,44.468319969685574,44.81181627283166,44.811816272931665,45.14992112924688,45.14992112934688,45.485191307431414,45.485191307531416,45.81907193746366,45.81907193756366,46.15217442053063,46.15217442063063,46.48499899396714,46.48499899406714,46.81771240355146,46.81771240365146,47.15020348543142,47.15020348553142,47.48019338063726,47.48019338073726,47.80990536621264,47.80990536631264,48.13889478674882,48.13889478684882,48.46649465913272,48.46649465923272,48.79114868943376,48.79114868953376,49.11274571379977,49.11274571389977,49.43261969845693,49.432619698556934,49.74932551332688,49.74932551342688,50.06308548611397,50.06308548621397,50.376456385418415,50.376456385518416,50.68916030160976,50.68916030170976,50.99947419497917,50.99947419507917,51.307842720935376,51.30784272103538,51.61376564214355,51.61376564224355,51.9178543597907,51.917854359890704,52.22066469313774,52.220664693237744,52.52197431448032,52.52197431458032,52.82172764189232,52.821727641992325,53.12070282233904,53.12070282243904,53.41723239803773,53.417232398137735,53.71242800751023,53.712428007610235,54.00723454350008,54.007234543600084,54.30142967830293,54.30142967840293,54.59473550228831,54.59473550238831,54.88754108893886,54.88754108903886,55.17695617809783,55.176956178197834,55.46525962873497,55.46525962883497,55.75250702277636,55.752507022876365,56.039643252965575,56.03964325306558,56.32527877115031,56.32527877125031,56.61052521585241,56.610525215952414,56.89138068839327,56.89138068849327,57.171680341673216,57.17168034177322,57.45175766724879,57.451757667348794,57.730389862745994,57.730389862845996,58.005020159564594,58.005020159664596,58.27509273844368,58.275092738543684,58.54505415347059,58.54505415357059,58.81162507100591,58.811625071105915,59.07730667772376,59.07730667782376,59.34226571940243,59.34226571950243,59.60705801530282,59.60705801540282,60.13369676502074,60.13369676512074,60.39254179482933,60.39254179492933,60.65127566078573,60.65127566088573,60.90845323281157,60.90845323291157,61.162351471198,61.162351471298,61.41369294098422,61.41369294108422,61.664867664992165,61.66486766509217,61.91559773359138,61.915597733691385,62.1662722202645,62.166272220364505,62.41666879730717,62.41666879740717,62.66673188279328,62.66673188289328,62.91635031287066,62.916350312970664,63.16485710442621,63.16485710452621,63.41202992975556,63.412029929855564,63.65736855152389,63.65736855162389,63.90209577210521,63.902095772205215,64.14665624690825,64.14665624700825,64.38799296999798,64.38799297009798,65.1106135911149,65.1106135912149,65.34794841552603,65.34794841562604,65.57894690036272,65.57894690046273,65.80927840208632,65.80927840218632,66.26727347308112,66.26727347318112,66.49421447731312,66.49421447741312,66.71654218167953,66.71654218177953,66.93781382945019,66.9378138295502,67.15830733025558,67.15830733035558,67.37807826602177,67.37807826612178,67.58906725746549,67.58906725756549,67.79988950313093,67.79988950323093,68.00732125130479,68.00732125140479,68.21414159829163,68.21414159839163,68.41973914290446,68.41973914300446,68.62444737669983,68.62444737679984,68.82898886471693,68.82898886481694,69.03325244310356,69.03325244320357,69.23712694800756,69.23712694810756,69.43961190475926,69.43961190485926,69.64198569765878,69.64198569775878,69.84402599900174,69.84402599910175,70.04551048108381,70.04551048118381,70.24516075960483,70.24516075970483,70.44442196464323,70.44442196474323,70.64140431071186,70.64140431081186,70.83738618211085,70.83738618221085,71.22896085142618,71.22896085152618,71.42438690356424,71.42438690366424,71.61847898947612,71.61847898957612,71.80962523330514,71.80962523340514,71.99927076512968,71.99927076522968,72.18669301991056,72.18669302001057,72.37305921809569,72.37305921819569,72.55886959701992,72.55886959711992,72.7442909024615,72.7442909025615,72.9289896428639,72.9289896429639,73.10523993050036,73.10523993060036,73.28132347235855,73.28132347245855,73.456350957621,73.456350957721,73.63132286095737,73.63132286105737,73.97859873517768,73.97859873527769,74.15073596028338,74.15073596038339,74.32281760346298,74.32281760356298,74.49451017315994,74.49451017325994,74.66570250552206,74.66570250562206,74.83678367403202,74.83678367413202,75.00730902328104,75.00730902338104,75.17738971712134,75.17738971722135,75.3444689869527,75.34446898705271,75.50943614359257,75.50943614369257,75.67206885933659,75.67206885943659,75.83297853537178,75.83297853547178,75.99138702473284,75.99138702483285,76.14929527675909,76.14929527685909,76.30681445530269,76.30681445540269,76.46366665073319,76.46366665083319,76.61646136555899,76.61646136565899,76.76908933460653,76.76908933470654,76.92121706631924,76.92121706641925,77.07239990528839,77.0723999053884,77.22213761417918,77.22213761427918,77.36959646410018,77.36959646420019,77.51349807075134,77.51349807085134,77.65728851355031,77.65728851365031,77.80063430094056,77.80063430104056,77.94370217870033,77.94370217880034,78.08638098297747,78.08638098307748,78.22889304147634,78.22889304157634,78.37090486264039,78.37090486274039,78.51163829950433,78.51163829960433,78.65220499058998,78.65220499068998,78.93294929927866,78.93294929937866,79.07262667954686,79.07262667964686,79.21202615018458,79.21202615028459,79.35125887504405,79.35125887514405,79.49010252642087,79.49010252652087,79.62877943201941,79.62877943211942,79.76634469909612,79.76634469919613,79.9035208926902,79.9035208927902,80.04025243087554,80.04025243097554,80.17692838713478,80.17692838723478,80.4502247177272,80.4502247178272,80.5838436680514,80.5838436681514,80.7169067991147,80.7169067992147,80.84902503743443,80.84902503753443,80.97869767100613,80.97869767110613,81.10820355879956,81.10820355889956,81.23748711888862,81.23748711898862,81.36654835127332,81.36654835137332,81.49427561743182,81.49427561753183,81.62178055588596,81.62178055598596,81.74867409315308,81.74867409325309,81.87512297501148,81.87512297511148,82.00129394723942,82.00129394733942,82.25302449050828,82.25302449060828,82.377250095323,82.37725009542301,82.5003084796898,82.50030847978981,82.62264429901742,82.62264429911743,82.7446466267885,82.7446466268885,82.86642662685519,82.86642662695519,82.9874840618827,82.9874840619827,83.10587356445781,83.10587356455781,83.22398515740245,83.22398515750245,83.34193000456884,83.34193000466884,83.4593190324743,83.4593190325743,83.57559642185792,83.57559642195793,83.68903913301088,83.68903913311088,83.80159253334638,83.80159253344638,83.91081101811638,83.91081101821638,84.019195773995,84.019195774095,84.12691354676052,84.12691354686052,84.23329735329985,84.23329735339985,84.33929208635652,84.33929208645652,84.44450867244792,84.44450867254793,84.54950293083496,84.54950293093496,84.65388578803498,84.65388578813499,84.75715700671319,84.75715700681319,84.85876076760863,84.85876076770863,84.96030894657798,84.96030894667798,85.06124572436033,85.06124572446033,85.1614043551774,85.1614043552774,85.26078483902918,85.26078483912919,85.36005415902878,85.36005415912878,85.4592678971023,85.4592678972023,85.55775907013661,85.55775907023661,85.65569442391,85.65569442401001,85.75329628612687,85.75329628622687,85.84995325560016,85.84995325570016,85.94638789736908,85.94638789746908,86.04243346565538,86.04243346575538,86.1382011243112,86.1382011244112,86.23374645526266,86.23374645536266,86.32918062236195,86.32918062246195,86.42450362560903,86.42450362570904,86.51921522766912,86.51921522776912,86.61376008395094,86.61376008405094,86.7066930643761,86.7066930644761,86.7986255701316,86.79862557023161,86.89044691203493,86.89044691213493,86.98182359852953,86.98182359862953,87.07292237539366,87.07292237549366,87.1639655703317,87.1639655704317,87.253952708674,87.25395270877401,87.43314883839332,87.43314883849332,87.52163526473116,87.52163526483116,87.60989936336462,87.60989936346462,87.69727415118062,87.69727415128062,87.7834261366226,87.7834261367226,87.86863322932102,87.86863322942102,87.95367357624117,87.95367357634117,88.03849159545696,88.03849159555696,88.12303170504228,88.12303170514228,88.20729390499714,88.20729390509715,88.29138935917373,88.29138935927374],[0.0,1e-10,1.7450501515719123,1.7450501516719124,3.407616724823889,3.407616724923889,4.536707971448676,4.536707971548676,5.521119464457025,5.521119464557025,6.448114827812751,6.448114827912751,7.339371012691577,7.339371012791577,8.226069479630892,8.226069479730892,8.970811707332256,8.970811707432256,9.655970110263425,9.655970110363425,10.324231607662746,10.324231607762746,10.989324935274848,10.989324935374848,11.644357934264368,11.644357934364368,12.29183179130543,12.29183179140543,12.927633443867258,12.927633443967258,13.5414802356229,13.5414802357229,14.154159806930622,14.154159807030622,14.75705695924622,14.75705695934622,15.348115161304309,15.348115161404309,15.938117306766655,15.938117306866655,16.517781213975965,16.517781214075963,17.095388589919885,17.095388590019883,17.67216223697243,17.672162237072428,18.24454491186374,18.24454491196374,18.816816422902868,18.816816423002866,19.37235777418842,19.372357774288417,19.92211860516045,19.922118605260447,20.467377300119058,20.467377300219056,21.004965689277025,21.004965689377023,21.54077545680006,21.540775456900057,22.07491776654035,22.074917766640347,22.608782166650176,22.608782166750174,23.137421865707395,23.137421865807394,23.661781756455564,23.661781756555563,24.184363025568796,24.184363025668794,24.704554271860093,24.70455427196009,25.21774219546385,25.217742195563847,25.725094016827985,25.725094016927983,26.231167453892013,26.23116745399201,26.730793387529417,26.730793387629415,27.227695806788333,27.22769580688833,27.7024210375367,27.702421037636697,28.160304944679307,28.160304944779305,28.617633032561002,28.617633032661,29.07323808073386,29.073238080833857,29.52700892534569,29.52700892544569,29.978389747135587,29.978389747235585,30.428214274994914,30.428214275094913,30.874259231880014,30.874259231980012,31.314412504599403,31.3144125046994,31.739836566904522,31.73983656700452,32.160425001639666,32.16042500173967,32.580679944818264,32.580679944918266,32.99493203997897,32.99493204007897,33.40451525334798,33.40451525344798,33.81382055708653,33.81382055718653,34.21595579235927,34.21595579245927,34.61325540006203,34.61325540016203,35.00905429576032,35.009054295860324,35.40268549634104,35.402685496441045,35.79153665127789,35.79153665137789,36.173940302788104,36.173940302888106,36.554509750737296,36.5545097508373,36.93446779749948,36.93446779759948,37.31359211537029,37.31359211547029,37.68977059115825,37.68977059125825,38.0653376657592,38.065337665859204,38.436569350125005,38.43656935022501,38.8071896333038,38.8071896334038,39.175030820178016,39.17503082027802,39.54098222156512,39.540982221665125,39.904654763982464,39.904654764082466,40.2677714871389,40.2677714872389,40.62922075251258,40.62922075261258,40.98850232276869,40.98850232286869,41.34367083049403,41.34367083059403,41.69728304428879,41.69728304438879,42.04945012800518,42.04945012810518,42.40111697438674,42.40111697448674,42.74989356061153,42.749893560711534,43.09611337823612,43.09611337833612,43.43983200918658,43.43983200928658,43.779270831827986,43.77927083192799,44.11820941713457,44.118209417234574,44.45203446524073,44.45203446534073,44.7824690158553,44.7824690159553,45.11106936290885,45.11106936300885,45.43794667025355,45.437946670353554,45.76410141255907,45.76410141265907,46.083308414103136,46.08330841420314,46.402181924090655,46.40218192419066,46.71944355822151,46.719443558321515,47.03381493219561,47.03381493229561,47.343406260525825,47.34340626062583,47.652886425003864,47.652886425103866,47.96125495096007,47.96125495106007,48.26878974802489,48.268789748124895,48.575546398124445,48.575546398224446,48.881469319332616,48.88146931943262,49.18544687312758,49.18544687322758,49.48592276557878,49.48592276567878,49.78600958454734,49.78600958464734,50.085929657737616,50.08592965783762,50.38546065744526,50.38546065754526,50.68343536322233,50.68343536332233,50.98129890514722,50.98129890524722,51.278940119367746,51.27894011946775,51.5684107904528,51.568410790552804,51.85521352908547,51.85521352918547,52.14012648223101,52.14012648233101,52.423094067963355,52.42309406806336,52.705839325991334,52.705839326091336,52.98763969127575,52.987639691375755,53.265993977142486,53.26599397724249,53.54240289559602,53.54240289569602,53.81414293225786,53.81414293235786,54.08527156773269,54.08527156783269,54.35628903935534,54.35628903945534,54.62241530148192,54.622415301581924,54.887985744347596,54.8879857444476,55.15344502336109,55.15344502346109,55.41868197467021,55.41868197477021,55.682918451309675,55.68291845140968,55.94426466779239,55.94426466789239,56.20455482767935,56.204554827779354,56.46406684060104,56.464066840701044,56.72324536196618,56.72324536206618,56.9812010809573,56.9812010810573,57.23715585060912,57.23715585070912,57.492665964852215,57.49266596495222,57.74517465508636,57.74517465518636,57.99729427183786,57.99729427193786,58.248468995845805,58.24846899594581,58.498587663258014,58.498587663358016,58.74848400296585,58.748484003065855,58.99776894148668,58.997768941586685,59.243663382515926,59.24366338261593,59.48800152961461,59.48800152971461,59.73039430930008,59.73039430940008,59.97228685165073,59.97228685175073,60.20695374360947,60.20695374370947,60.44056457897247,60.44056457907247,60.6693397867655,60.6693397868655,60.89794824878025,60.897948248880255,61.12627880116455,61.126278801264554,61.35383120658357,61.35383120668357,61.58066104696339,61.580661047063394,61.80737972349103,61.80737972359103,62.03143046756628,62.03143046766628,62.251979550297754,62.251979550397756,62.47180606799004,62.47180606809004,62.69068769293876,62.69068769303876,62.90890233477439,62.90890233487439,63.12644999349691,63.126449993596914,63.34388648836726,63.34388648846726,63.55993343508531,63.559933435185314,63.77553572639464,63.77553572649464,63.98919265029075,63.98919265039075,64.20218259107376,64.20218259117377,64.41205994399566,64.41205994409566,64.62165938728708,64.62165938738708,64.83120324865241,64.83120324875242,65.04069152809166,65.04069152819166,65.24912375093517,65.24912375103517,65.45633317140465,65.45633317150465,65.66081907749566,65.66081907759566,65.8650270739562,65.8650270740562,66.06917948849065,66.06917948859065,66.27222026450328,66.27222026460328,66.47264868998958,66.47264869008958,66.67279920584544,66.67279920594544,66.87272739399693,66.87272739409693,67.07126603399612,67.07126603409613,67.2693600185866,67.2693600186866,67.46662027428569,67.46662027438569,67.66237981798031,67.66237981808031,67.85736121470964,67.85736121480964,68.05217586566071,68.05217586576072,68.2461567877204,68.2461567878204,68.43869257970171,68.43869257980171,68.63100604397864,68.63100604407865,68.82309718055122,68.82309718065122,69.0151327351977,69.0151327352977,69.20666805250936,69.20666805260936,69.39664707589046,69.39664707599046,69.58523655111925,69.58523655121925,69.77188065893485,69.77188065903485,69.95530101503714,69.95530101513714,70.13760973261759,70.13760973271759,70.31964054056758,70.31964054066758,70.49761386791289,70.49761386801289,70.67503137599728,70.67503137609728,70.84878047695962,70.84878047705962,71.02241841406979,71.02241841416979,71.19544494999295,71.19544495009295,71.36602588116807,71.36602588126807,71.53638448463882,71.53638448473882,71.70590935921821,71.70590935931821,71.87437817720185,71.87437817730185,72.04223559399848,72.04223559409849,72.20964835538639,72.2096483554864,72.3770055348482,72.3770055349482,72.54336223964036,72.54336223974036,72.70938545287598,72.70938545297598,72.87451935529413,72.87451935539413,73.03893069267308,73.03893069277308,73.20250830116066,73.20250830126066,73.36491868920032,73.36491868930032,73.52671767605297,73.52671767615297,73.85014890398,73.85014890408,74.01116974386737,74.01116974396737,74.17207941990256,74.17207942000256,74.33048790926362,74.33048790936363,74.48661753965493,74.48661753975493,74.79843214502881,74.79843214512881,74.95389479230701,74.95389479240701,75.10841254684166,75.10841254694166,75.26254122789368,75.26254122799368,75.41561385234995,75.41561385244995,75.56757483828439,75.56757483838439,75.71948024229273,75.71948024239273,75.8712744824489,75.8712744825489,76.02240173949195,76.02240173959196,76.17347341460894,76.17347341470894,76.32437834394763,76.32437834404763,76.47428279861667,76.47428279871667,76.62296445091171,76.62296445101171,76.77109028394582,76.77109028404583,76.91904937120167,76.91904937130167,77.06623031149223,77.06623031159224,77.21029866392166,77.21029866402166,77.35381119709018,77.35381119719018,77.49654558329341,77.49654558339341,77.63911322371837,77.63911322381837,77.78123620873458,77.78123620883458,77.92313686604645,77.92313686614645,78.06270308246246,78.06270308256246,78.20043509531745,78.20043509541745,78.33811152624634,78.33811152634634,78.47528771984041,78.47528771994041,78.61207483995184,78.61207484005185,78.74763915768926,78.74763915778927,78.88270323809185,78.88270323819185,79.01682242575089,79.01682242585089,79.15083044955773,79.15083044965773,79.28300426980356,79.28300426990356,79.41478901656674,79.41478901666675,79.54646259947775,79.54646259957775,79.67763594505394,79.67763594515394,79.80875370870402,79.80875370880402,79.93964914464974,79.93964914474974,80.07009992518672,80.07009992528673,80.19904999371924,80.19904999381924,80.32794448032567,80.32794448042567,80.58545554390805,80.58545554400806,80.71251582695345,80.71251582705345,80.83696375947255,80.83696375957255,80.96135611006555,80.96135611016555,81.08458124021064,81.08458124031064,81.20747287879917,81.20747287889917,81.32936404271804,81.32936404281804,81.45031031389337,81.45031031399337,81.5705340200295,81.5705340201295,81.68959050571772,81.68959050581772,81.80764651673627,81.80764651683627,81.92503554464173,81.92503554474173,82.04203549906455,82.04203549916456,82.15775706918727,82.15775706928727,82.27170001767506,82.27170001777506,82.38553180231065,82.38553180241065,82.49897451346361,82.49897451356361,82.61163907765129,82.61163907775129,82.72424805991287,82.72424806001287,82.83624564098744,82.83624564108744,83.05990731158005,83.05990731168005,83.17134907339371,83.17134907349372,83.28251292557691,83.28251292567691,83.39345445005574,83.39345445015574,83.50406248297803,83.50406248307803,83.61455935204813,83.61455935214813,83.72483389341387,83.72483389351387,83.8338856324056,83.8338856325056,83.9417701509494,83.9417701510494,84.1574836061109,84.1574836062109,84.26525696080252,84.26525696090252,84.37197425889839,84.37197425899839,84.47841364736381,84.47841364746381,84.58424163464221,84.58424163474221,84.68968054843798,84.68968054853798,84.7947859706772,84.7947859707772,84.89972464713814,84.89972464723814,85.00438541396862,85.00438541406862,85.10865710731647,85.10865710741648,85.21253972718168,85.21253972728168,85.42013822113381,85.42013822123381,85.52352060366418,85.52352060376418,85.62634716693364,85.62634716703364,85.72772860012472,85.72772860022472,85.82872095983316,85.82872095993316,85.92921308220679,85.92921308230679,86.02953845880212,86.02953845890212,86.129585925767,86.129585925867,86.22924431924925,86.22924431934925,86.32845805732275,86.32845805742275,86.42706039420925,86.42706039430925,86.5253292395392,86.5253292396392,86.62354250294307,86.62354250304307,86.72008830856417,86.72008830866417,86.81635620455482,86.81635620465482,86.9125129366933,86.9125129367933,87.00839175920132,87.00839175930132,87.10410383593104,87.10410383603104,87.29486100627743,87.29486100637743,87.38734933129385,87.38734933139385,87.47905950934499,87.479059509445,87.57015828620912,87.57015828630912,87.66103473536889,87.66103473546889,87.75041047252418,87.75041047262418,87.83950830004902,87.83950830014902,87.92849496372168,87.92849496382168,88.01692580813341,88.01692580823341,88.10380035861459,88.1038003587146,88.19034141753922,88.19034141763922,88.2764378210551,88.2764378211551,88.36242306071881,88.36242306081881,88.4478524811216,88.4478524812216,88.5318923533721,88.5318923534721],[0.0,1e-10,0.5616553631556305,0.5616553632556305,0.9291630584732978,0.9291630585732978,1.2846094758290878,1.2846094759290878,1.627216468257718,1.627216468357718,1.9283037618959218,1.9283037619959218,2.2241107725554237,2.2241107726554237,2.510079782296712,2.510079782396712,2.786711028454611,2.786711028554611,3.063064364982053,3.063064365082053,3.338028153357204,3.338028153457204,3.606322110601363,3.606322110701363,3.8721148811714,3.8721148812714,4.13107107483217,4.13107107493217,4.389137957675475,4.389137957775475,4.641868975613986,4.641868975713986,4.894155338143764,4.894155338243764,5.142106310438397,5.142106310538397,5.380441609519183,5.380441609619183,5.618165507412962,5.618165507512962,5.851220523515045,5.851220523615045,6.083497392651847,6.083497392751847,6.315551934084282,6.315551934184282,6.545327616546961,6.545327616646961,6.77504771708355,6.77504771718355,7.003656179098305,7.003656179198305,7.231986731482603,7.231986731582603,7.457427023710138,7.457427023810138,7.682200332824573,7.682200332924573,7.9068624780868255,7.9068624781868255,8.130412984827245,8.130412984927245,8.352907434971925,8.352907435071925,8.574734902003506,8.574734902103506,8.796117713626353,8.796117713726353,9.01711145176656,9.01711145186656,9.458487526859965,9.458487526959965,9.6773135698826,9.6773135699826,9.89563937557041,9.89563937567041,10.112631215032021,10.112631215132021,10.327399777449967,10.327399777549967,10.53988948089816,10.53988948099816,10.751378709676702,10.751378709776702,10.962034209563871,10.962034209663871,11.172634127524947,11.172634127624947,11.382956135855567,11.382956135955567,11.5892206635815,11.5892206636815,11.794818208194332,11.794818208294332,11.999359696211425,11.999359696311425,12.203734438450242,12.203734438550242,12.40777568913251,12.40777568923251,12.610538555514673,12.610538555614673,12.81146721833581,12.81146721843581,13.012006807674307,13.012006807774307,13.2106010295996,13.2106010296996,13.409028505746615,13.409028505846615,13.604510139810778,13.604510139910778,13.798213152240008,13.798213152340008,13.991415927334414,13.991415927434414,14.183562645833078,14.183562645933078,14.373708414992446,14.373708415092446,14.561742070960333,14.561742071060333,14.748330596849838,14.748330596949838,14.934585631182795,14.934585631282795,15.120562755885292,15.120562755985292,15.3064842986617,15.3064842987617,15.492350259512014,15.492350259612014,15.676826672210037,15.676826672310037,15.860080282534046,15.860080282634046,16.039721067662104,16.039721067762102,16.217916722711774,16.217916722811772,16.395667722352716,16.395667722452714,16.573363140067567,16.573363140167565,16.750780648151956,16.750780648251954,16.92725326349279,16.92725326359279,17.103170059572708,17.103170059672706,17.279031273726535,17.279031273826533,17.452224555427964,17.452224555527962,17.625362255203303,17.6253622553033,17.797999717643815,17.797999717743814,17.970470434306055,17.970470434406053,18.14282998711611,18.142829987216107,18.314911630295708,18.314911630395706,18.48688210962312,18.48688210972312,18.658519097393985,18.658519097493983,18.828655373160377,18.828655373260375,18.99845815737022,18.998458157470218,19.168149777727876,19.168149777827875,19.337174414972438,19.337174415072436,19.506143470290905,19.506143470390903,19.674501124422363,19.67450112452236,19.842803196627735,19.842803196727733,20.009326647198172,20.00932664729817,20.175738933916424,20.175738934016422,20.341928892930312,20.34192889303031,20.507952106165927,20.507952106265925,20.67364182784499,20.673641827944987,20.839109221819687,20.839109221919685,21.004020796533467,21.004020796633466,21.1685988796907,21.168598879790697,21.33173183276955,21.331731832869547,21.494531294291846,21.494531294391845,21.656497026922775,21.656497027022773,21.817906940292783,21.81790694039278,21.97753823202786,21.97753823212786,22.136502540649843,22.13650254074984,22.29474428423263,22.29474428433263,22.45198555314577,22.45198555324577,22.608281929315353,22.60828192941535,22.764300395854477,22.764300395954475,22.91992978891096,22.919929789010958,23.075281272336987,23.075281272436985,23.23052159191083,23.230521592010827,23.385595165706395,23.385595165806393,23.540557575649782,23.54055757574978,23.695242075962707,23.695242076062705,23.84987099434954,23.84987099444954,24.002999200731903,24.0029992008319,24.15607182518817,24.15607182528817,24.307199082231236,24.307199082331234,24.45727028267856,24.45727028277856,24.6072303192737,24.6072303193737,24.757023610090567,24.757023610190565,24.90676131898134,24.906761319081337,25.05638786401993,25.056387864119927,25.355363044466653,25.35536304456665,25.502933058239854,25.502933058339853,25.650391908160874,25.650391908260872,25.79751726652534,25.797517266625338,25.944531461037627,25.944531461137625,26.089989361619345,26.089989361719343,26.23516935257061,26.235169352670606,26.525195842916585,26.525195843016583,26.669597686902563,26.66959768700256,26.81388836703636,26.813888367136357,26.958123465244064,26.958123465344062,27.10124692492994,27.101246925029937,27.244259220763627,27.244259220863626,27.387104770819043,27.38710477091904,27.529894738948368,27.529894739048366,27.670850503516668,27.670850503616666,27.810583465710955,27.810583465810954,27.950149682126966,27.950149682226964,28.0895491527647,28.0895491528647,28.22728116561969,28.22728116571969,28.36479085077031,28.364790850870307,28.502078208216567,28.502078208316565,28.638531836771445,28.638531836871444,28.77481871954805,28.77481871964805,28.910883274620293,28.91088327472029,29.046725501988167,29.046725502088165,29.181734000464665,29.181734000564663,29.31657575316289,29.31657575326289,29.45125076008284,29.451250760182837,29.584814128480957,29.584814128580955,29.7182107511008,29.718210751200797,29.851329464090185,29.851329464190183,29.983614448188195,29.983614448288193,30.115788268434024,30.115788268534022,30.247517433271117,30.247517433371115,30.378968688477755,30.378968688577753,30.509085977458195,30.509085977558193,30.63886977488208,30.63886977498208,30.768486826527695,30.768486826627694,30.89771480469067,30.897714804790667,31.02616463588836,31.02616463598836,31.154392139381685,31.154392139481683,31.282564060948918,31.282564061048916,31.538296502896372,31.53829650299637,31.665690277498324,31.665690277598323,31.79286172439591,31.792861724495907,31.919532933958667,31.919532934058665,32.171874878414535,32.17187487851454,32.29548908204226,32.29548908214226,32.41843630255688,32.41843630265688,32.54132794114541,32.54132794124541,32.66416399780785,32.66416399790785,32.7868888906181,32.7868888907181,32.90950261957617,32.909502619676175,33.031616111199426,33.03161611129943,33.27556518481546,33.275565184915465,33.39734518488216,33.397345184982164,33.5188472753184,33.5188472754184,33.63957121878936,33.63957121888936,33.880185376839904,33.880185376939906,33.99951977215857,33.99951977225857,34.118743003625056,34.11874300372506,34.23735483390453,34.237354834004535,34.35529968107091,34.35529968117091,34.590522392290566,34.59052239239057,34.707744674417754,34.707744674517755,34.82485579269276,34.82485579279276,34.941800165189484,34.941800165289486,35.058522209981845,35.05852221008185,35.174632853587205,35.17463285368721,35.290632333340376,35.29063233344038,35.406520649241365,35.40652064934137,35.5220754735858,35.5220754736858,35.7530739584225,35.7530739585225,35.86846203698866,35.86846203708866,35.98373895170264,35.98373895180264,36.09857121100789,36.09857121110789,36.21284765105222,36.212847651152224,36.32701292724437,36.32701292734437,36.44101145765824,36.44101145775824,36.554954406146024,36.554954406246026,36.668786190781624,36.668786190881626,36.78228448386068,36.78228448396068,37.00900316038832,37.00900316048832,37.12216796191082,37.12216796201082,37.23505485380286,37.23505485390286,37.34766383606444,37.34766383616444,37.45966141713902,37.45966141723902,37.5716034162875,37.571603416387504,37.683489833509896,37.6834898336099,37.79526508688011,37.79526508698011,37.906818012545955,37.90681801264596,38.01825977435961,38.018259774459615,38.240920970282566,38.24092097038257,38.35208482246577,38.35208482256577,38.4630819288707,38.4630819289707,38.684409158567455,38.68440915866746,38.79429462645055,38.79429462655055,38.904124512407556,38.90412451250756,39.01317625139927,39.013176251499274,39.122172408464905,39.12217240856491,39.230890655900076,39.23089065600008,39.339553321409156,39.33955332150916,39.44777133150951,39.44777133160951,39.55593375968376,39.55593375978376,39.66404060593192,39.664040606031925,39.77192512447572,39.77192512457572,39.879587315315156,39.87958731541516,39.98719392422849,39.987193924328494,40.094689369289654,40.094689369389656,40.202073650498626,40.20207365059863,40.30823512933358,40.308235129433584,40.414341026242454,40.414341026342456,40.520280177373046,40.52028017747305,40.62616374657754,40.62616374667754,40.73188057000377,40.73188057010377,40.83737506572563,40.83737506582563,40.9428139795214,40.9428139796214,41.04814172946498,41.04814172956498,41.15319156977811,41.15319156987811,41.25785233660859,41.257852336708595,41.36229077573471,41.36229077583471,41.571112072060856,41.57111207216086,41.67510585577824,41.67510585587824,41.77854382023471,41.77854382033471,41.88164829313463,41.88164829323463,41.98458602025628,41.98458602035628,42.08730141967356,42.08730141977356,42.189738909460374,42.189738909560376,42.292065235395015,42.292065235495016,42.394224815551375,42.39422481565138,42.59815490238147,42.59815490248147,42.801640333802816,42.80164033390282,43.00495901944589,43.00495901954589,43.20799979545851,43.207999795558514,43.308992155166955,43.30899215526696,43.51086571073165,43.51086571083165,43.61152457888354,43.61152457898354,43.812675569409045,43.81267556950905,43.91294536407829,43.91294536417829,44.0128260852649,44.0128260853649,44.21253194571202,44.212531945812025,44.41201547845478,44.41201547855478,44.51150712615875,44.51150712625875,44.61094319193662,44.61094319203662,44.71021251193622,44.71021251203622,44.80931508615755,44.80931508625755,44.908306496526684,44.908306496626686,45.00718674304365,45.00718674314365,45.10584466185624,45.10584466195624,45.20433583489056,45.20433583499056,45.401151435180914,45.401151435280916,45.49936469858477,45.49936469868477,45.59702214272772,45.59702214282772,45.694568423018474,45.694568423118476,45.791947957530965,45.79194795763097,45.88804910774334,45.888049107843344,45.98403909410354,45.98403909420354,46.079584425054996,46.079584425155,46.17501859215428,46.17501859225428,46.27039717732747,46.27039717742747,46.3654422709441,46.3654422710441,46.460209454930286,46.46020945503029,46.64957707712437,46.64957707722437,46.74384402377572,46.743844023875724,46.83788864272272,46.83788864282272,46.931877679743614,46.931877679843616,47.02569997098623,47.02569997108623,47.21317780769321,47.21317780779321,47.30672218930537,47.30672218940537,47.3998219155088,47.399821915608804,47.49258815015568,47.492588150255685,47.58518763902429,47.58518763912429,47.77021987098323,47.770219871083235,47.8624302863692,47.8624302864692,47.954473955976894,47.954473956076896,48.046350879806305,48.046350879906306,48.13806105785745,48.13806105795745,48.2297156539825,48.229715654082504,48.32125908625537,48.32125908635537,48.412469026971685,48.41246902707169,48.59483332647823,48.59483332657823,48.68532070215536,48.68532070225536,48.7756969139803,48.7756969140803,48.95544886296054,48.95544886306054,49.134144755345034,49.134144755445035,49.22324258286987,49.223242582969874,49.31228482846862,49.31228482856862,49.490146991961744,49.490146992061746,49.57885574600394,49.57885574610394,49.75582859867959,49.755828598779594,49.843925951534786,49.84392595163479,50.01973158376252,50.01973158386252,50.10732869928288,50.10732869938288,50.19481465095106,50.19481465105106,50.28218943876706,50.282189438867064,50.36950864465697,50.36950864475697,50.45666110476859,50.456661104868594,50.54364681910195,50.54364681920195,50.63057695150922,50.63057695160922,50.804159306693286,50.80415930679329,50.89064478369182,50.89064478379182,50.97618536794679,50.97618536804679,51.06155920642349,51.06155920652349,51.146210479861004,51.146210479961006,51.230361515963686,51.23036151606369],[0.0,1e-10,3.261047185720336,3.261047185820336,5.495662942307073,5.495662942407073,7.152337831393339,7.152337831493339,8.616588092350481,8.616588092450481,10.075669234181106,10.075669234281106,11.475611206650266,11.475611206750266,12.702582225122363,12.702582225222363,13.917436383706493,13.917436383806493,15.128900044799032,15.128900044899032,16.28467061594779,16.284670616047787,17.43999653168781,17.43999653178781,18.563974241112174,18.563974241212172,19.685728673492868,19.685728673592866,20.79870116155109,20.79870116165109,21.90144657520846,21.90144657530846,22.978957794420243,22.97895779452024,24.004110839253734,24.004110839353732,25.01859215427764,25.01859215437764,25.97549059387065,25.975490593970648,26.909155788357364,26.909155788457362,27.822144506338006,27.822144506438004,28.688889061810436,28.688889061910434,29.525786122971677,29.525786123071676,30.330001011591055,30.330001011691053,31.12398882580958,31.123988825909578,31.91753198461937,31.917531984719368,32.70640626163747,32.70640626173747,33.494335645912,33.494335646012004,34.28215386633436,34.28215386643436,35.05407565589452,35.054075655994524,35.80470956776159,35.80470956786159,36.544949659449536,36.54494965954954,37.25122919429552,37.25122919439552,37.94844887518856,37.94844887528856,38.63260680345008,38.63260680355008,39.31654240400724,39.31654240410724,39.99730983477717,39.99730983487717,40.67579840657734,40.675798406677345,41.34934018695537,41.34934018705537,42.02227056614638,42.022270566246384,42.69403372488947,42.694033724989474,43.35545864537953,43.35545864547953,44.01660565623913,44.01660565633913,44.66313462053663,44.66313462063663,45.300492567029025,45.30049256712903,45.92840158608584,45.92840158618584,46.54830680778547,46.548306807885474,47.16771179215028,47.16771179225028,47.782781386279936,47.78278138637994,48.39240395165262,48.39240395175262,48.99813578219889,48.99813578229889,49.603311793484245,49.60331179358425,50.206153363873746,50.20615336397375,50.79999066223642,50.79999066233642,51.392716322077256,51.39271632217726,51.97043486187336,51.97043486197336,52.527532507089475,52.52753250718948,53.042054396919426,53.04205439701943,53.55285229770124,53.552852297801245,54.058925734765275,54.05892573486528,54.556828628693836,54.55682862879384,55.05300848291356,55.05300848301356,55.54646482275479,55.546464822854794,56.03853161444374,56.03853161454374,56.53048724228051,56.53048724238051,57.01593978476455,57.01593978486455,57.48871964809971,57.48871964819971,57.96038787291304,57.96038787301304,58.43022189416534,58.430221894265344,58.89844403956099,58.898444039660994,59.36633269340009,59.36633269350009,59.829941538930136,59.82994153903014,60.29110477971215,60.29110477981215,60.75165661930716,60.751656619407164,61.21076332882379,61.21076332892379,61.664256263805164,61.664256263905166,62.570297241024356,62.57029724112436,63.01978827732713,63.01978827742713,63.46839000281245,63.46839000291245,63.915379852441106,63.91537985254111,64.35647801790405,64.35647801800405,64.79457475935806,64.79457475945806,65.2296700768031,65.2296700769031,65.66109698712611,65.66109698722612,66.090634111962,66.090634112062,66.94348318591153,66.94348318601153,67.36473860375979,67.36473860385979,67.78132513981633,67.78132513991633,68.19240906518982,68.19240906528982,68.60260367974584,68.60260367984584,69.01007477992336,69.01007478002336,69.41437771031367,69.41437771041367,69.81173289994253,69.81173290004253,70.20403013429706,70.20403013439706,70.59076917604241,70.59076917614242,70.96828161805657,70.96828161815657,71.34090285057466,71.34090285067467,71.70846612781843,71.70846612791843,72.07080470400957,72.07080470410958,72.43308769827462,72.43308769837462,72.7899236637827,72.7899236638827,73.13253065621133,73.13253065631133,73.47480415708341,73.47480415718341,73.81541020017275,73.81541020027275,74.15573833363162,74.15573833373162,74.48600613846791,74.48600613856792,74.81332810122136,74.81332810132136,75.4655264219802,75.4655264220802,75.78795717523758,75.78795717533758,76.10249529498995,76.10249529508995,76.41514362925521,76.41514362935521,76.72773638159438,76.72773638169438,77.03660514488541,77.03660514498542,77.34019362519773,77.34019362529773,77.64244813928386,77.64244813938386,78.2437334157428,78.2437334158428,78.54098555648069,78.5409855565807,78.83612558402709,78.83612558412709,79.12815302371236,79.12815302381236,79.41306597685791,79.41306597695791,79.69419935902923,79.69419935912923,79.96916314740437,79.96916314750437,80.24257064184897,80.24257064194897,80.51331020384116,80.51331020394116,80.7797699575243,80.7797699576243,81.04356177875503,81.04356177885504,81.30724243613359,81.3072424362336,81.56792166950319,81.5679216696032,81.82226456329836,81.82226456339836,82.07305021382366,82.07305021392366,82.32316888123587,82.32316888133587,82.57145334508706,82.57145334518707,82.81812593308159,82.81812593318159,83.06257524403244,83.06257524413245,83.3064131537963,83.3064131538963,83.54591567332501,83.54591567342501,83.78469562781453,83.78469562791453,84.02303092689532,84.02303092699532,84.25897620315416,84.25897620325416,84.49325402163026,84.49325402173027,84.72119550053192,84.72119550063192,84.94513508075498,84.94513508085498,85.16762953089966,85.16762953099966,85.38295391257853,85.38295391267853,85.59716665573555,85.59716665583555,85.80637702554434,85.80637702564434,86.01236364363982,86.01236364373982,86.21123577519556,86.21123577529556,86.4094965055643,86.40949650566431,86.60369975532836,86.60369975542837,86.7960132196053,86.7960132197053,86.98810435617787,86.98810435627787,87.17552661095876,87.17552661105876,87.36194839106999,87.36194839116999,87.54820342540295,87.54820342550295,87.73423613203153,87.73423613213153,87.91915720013829,87.91915720023829,88.10235522853621,88.10235522863621,88.28494185574712,88.28494185584712,88.46719499140147,88.46719499150147,88.64672461267735,88.64672461277735,88.82497584965311,88.82497584975312,89.00317150470279,89.0031715048028,89.17858806344788,89.17858806354788,89.35061412470138,89.35061412480138,89.5219176209157,89.5219176210157,89.68832990763396,89.68832990773396,89.85179635226936,89.85179635236936,90.01409557645682,90.01409557655683,90.1758389813834,90.1758389814834,90.33685982127076,90.33685982137077,90.49321177936643,90.49321177946644,90.64278274247893,90.64278274257893,90.78640643949963,90.78640643959963,90.92486101739381,90.92486101749381,91.06309326758362,91.06309326768363,91.20099202621688,91.20099202631688,91.33811263788486,91.33811263798486,91.47517766762675,91.47517766772675,91.61135338655117,91.61135338665117,91.74697328621468,91.74697328631468,91.88020316305625,91.88020316315625,92.00726344610165,92.00726344620165,92.13382349181222,92.13382349191222,92.25932748092706,92.25932748102706,92.38294168455478,92.38294168465478,92.50638914240423,92.50638914250423,92.62950310869712,92.62950310879712,92.75245032921175,92.75245032931176,92.87411916542626,92.87411916552627,92.99445403541458,92.99445403551458,93.11200980909831,93.11200980919831,93.22773137922103,93.22773137932103,93.34184107348709,93.34184107358709,93.45411656419212,93.45411656429212,93.56383528629695,93.56383528639695,93.66760674230996,93.66760674240996,93.76898817550105,93.76898817560105,93.87009169906166,93.87009169916166,93.9711396406962,93.9711396407962,94.07068687032626,94.07068687042626,94.16940037106494,94.16940037116494,94.26700223328179,94.26700223338179,94.36410385816382,94.36410385826382,94.46037175415447,94.46037175425447,94.55591708510593,94.55591708520593,94.65101776064866,94.65101776074866,94.74289468447807,94.74289468457808,94.83321531437693,94.83321531447693,94.92320245271924,94.92320245281924,95.01252260794844,95.01252260804844,95.0994527403557,95.0994527404557,95.18521565231504,95.18521565241504,95.2708674004222,95.2708674005222,95.35440703533787,95.35440703543787],[0.0,1e-10,0.8759155732775439,0.8759155733775439,1.5134402655482102,1.5134402656482102,2.0685369614250315,2.0685369615250315,2.5983438809301744,2.5983438810301744,3.09352326048025,3.09352326058025,3.5882579846215927,3.5882579847215927,4.078657318527791,4.078657318627791,4.553660458906615,4.553660459006615,5.02382797171547,5.02382797181547,5.481433969227623,5.481433969327623,5.936483198139562,5.936483198239562,6.362852153188235,6.362852153288235,6.786386430006236,6.786386430106236,7.207808593632757,7.207808593732757,7.625395604358957,7.625395604458957,8.041926558489417,8.041926558589417,8.451398608006244,8.451398608106244,8.835747626929665,8.835747627029665,9.219929900074813,9.219929900174813,9.600666093802282,9.600666093902282,9.976566659959781,9.976566660059781,10.3490211466996,10.3490211467996,10.72080865032632,10.72080865042632,11.091206605800751,11.091206605900751,11.45143306880042,11.45143306890042,11.810103237869523,11.810103237969523,12.16265939506855,12.16265939516855,12.500541923779393,12.500541923879393,12.824417807115154,12.824417807215154,13.144180627920136,13.144180628020136,13.461275516272721,13.461275516372721,13.776591782990375,13.776591783090375,14.085238218577036,14.085238218677036,14.392272778307042,14.392272778407042,14.6963059140281,14.6963059141281,14.999116247375143,14.999116247475143,15.301537507239546,15.301537507339546,15.601290834651552,15.601290834751552,15.896486444124045,15.896486444224045,16.189014121144144,16.189014121244142,16.47559453207244,16.475594532172437,16.75922910091788,16.75922910101788,17.04141853968494,17.04141853978494,17.319661661699495,17.319661661799493,17.597682456009686,17.597682456109684,17.872479498606562,17.87247949870656,18.147165377351254,18.147165377451252,18.4208507814263,18.420850781526298,18.692535236162044,18.692535236262042,18.963941781267334,18.963941781367332,19.234403433629065,19.234403433729064,19.499140147603363,19.49914014770336,19.763321042316743,19.76332104241674,20.290348865517306,20.290348865617304,20.552250901260933,20.55225090136093,20.81393060930019,20.813930609400188,21.07555473541336,21.075554735513357,21.333788364034938,21.333788364134936,21.591243845691235,21.591243845791233,21.846531632229958,21.846531632329956,22.10042987061639,22.10042987071639,22.352438323515713,22.35243832361571,22.60411328485848,22.60411328495848,22.855399172718613,22.85539917281861,23.103683636569794,23.103683636669793,23.3458540885509,23.3458540886509,23.5867461562319,23.5867461563319,23.82730473235635,23.827304732456348,24.066862833811154,24.066862833911152,24.30492022326148,24.304920223361478,24.541143409150784,24.541143409250783,24.776866357705266,24.776866357805265,25.011366503885732,25.01136650398573,25.245366412731375,25.245366412831373,25.479088411946556,25.479088412046554,25.712643665383464,25.712643665483462,25.945976591116008,25.945976591216006,26.178142296400626,26.178142296500624,26.409641018572145,26.409641018672144,26.639527864887008,26.639527864987006,26.866524451045105,26.866524451145104,27.091353342085633,27.09135334218563,27.31579315964352,27.315793159743517,27.53901017482739,27.539010174927387,27.76189369845471,27.761893698554708,27.984221402821117,27.984221402921115,28.205715378296148,28.205715378396146,28.42581980561889,28.425819805718888,28.644701430567615,28.644701430667613,28.86324956395979,28.86324956405979,29.078573945638652,29.07857394573865,29.2926755249435,29.2926755250435,29.50638803076571,29.506388030865708,29.719544717326997,29.719544717426995,29.932479076183924,29.932479076283922,30.14480203385384,30.144802033953837,30.3561800987802,30.3561800988802,30.567335836002194,30.567335836102192,30.77826924551982,30.778269245619818,30.987701943032974,30.987701943132972,31.196467657433026,31.196467657533024,31.40456638871998,31.40456638881998,31.611886973041653,31.61188697314165,31.818151500767588,31.818151500867586,32.024138118863064,32.024138118963066,32.227679132210504,32.227679132310506,32.42971943355347,32.429719433653474,32.63081484215289,32.63081484225289,32.83179908690012,32.83179908700012,33.03183843890379,33.03183843900379,33.23182220898137,33.23182220908137,33.43169481520677,33.43169481530677,33.830717462618374,33.830717462718376,34.0297563399524,34.0297563400524,34.22490448246001,34.224904482560014,34.41983029726326,34.41983029736326,34.613477727766394,34.613477727866396,34.80590235589552,34.80590235599552,34.997771164763726,34.99777116486373,35.18863949896229,35.18863949906229,35.377506883821546,35.37750688392155,35.56631868675471,35.566318686854714,35.75490816198352,35.754908162083524,35.94327530950795,35.943275309607955,36.12953034384091,36.129530343940914,36.315118395060765,36.315118395160766,36.50048411857626,36.50048411867626,36.684738203569914,36.684738203669916,36.86854763315484,36.86854763325484,37.05107867843966,37.05107867853966,37.41558494974838,37.41558494984838,37.59667086495482,37.59667086505482,37.77753445245689,37.77753445255689,37.958286876106776,37.95828687620678,38.1388169720523,38.1388169721523,38.318568921032536,38.31856892113254,38.49754272304749,38.49754272314749,38.676460943136355,38.67646094323636,38.855267999373034,38.855267999473035,39.03401947368363,39.03401947378363,39.21182605525066,39.21182605535066,39.3889100717785,39.3889100718785,39.56532710519324,39.56532710529324,39.740299008529604,39.740299008629606,40.089686995941406,40.08968699604141,40.263602842682026,40.26360284278203,40.43618472319645,40.43618472329645,40.608488694080414,40.608488694180416,40.7806259191861,40.7806259192861,40.95198499732651,40.951984997426514,41.123232911614735,41.12323291171474,41.2935359331594,41.2935359332594,41.46272731618223,41.46272731628223,41.63175195342679,41.631751953526795,41.968911917098445,41.96891191719845,42.13688049774726,42.136880497847265,42.30401534950471,42.30401534960471,42.470427636222965,42.47042763632297,42.63667317716294,42.63667317726294,42.800139621798344,42.800139621898346,42.96343932065547,42.96343932075547,43.12657227373432,43.12657227383432,43.289316153330525,43.289316153430526,43.45117072210927,43.45117072220927,43.61230272584882,43.61230272594882,43.772156345288266,43.77215634538827,43.93178763702334,43.93178763712334,44.09097427334969,44.09097427344969,44.249493926562934,44.249493926662936,44.406123794289066,44.40612379438907,44.562586916236924,44.562586916336926,44.71882771048042,44.71882771058042,44.87484617701954,44.874846177119544,45.03069789778039,45.030697897880394,45.1861605450586,45.1861605451586,45.341178536928076,45.34117853702808,45.49591861916709,45.495918619267094,45.65060311948002,45.65060311958002,45.80473180053203,45.804731800632034,45.95802675269267,45.95802675279267,46.11109937714894,46.11109937724894,46.261392905300625,46.261392905400626,46.411575269600135,46.41157526970014,46.561479724269184,46.561479724369185,46.71127301508604,46.711273015186045,46.860843978198545,46.86084397829855,47.010081449754495,47.010081449854496,47.15920775745826,47.15920775755826,47.308000573605476,47.30800057370548,47.456571062048326,47.45657106214833,47.603640838486704,47.603640838586706,47.75026595951635,47.75026595961635,47.89577944202416,47.89577944212416,48.04123734260588,48.041237342705884,48.1860282600745,48.1860282601745,48.33037452213439,48.33037452223439,48.4738870553029,48.473887055402905,48.61734400654533,48.61734400664533,48.76018955660074,48.760189556700745,48.9020902139126,48.9020902140126,49.043768543520095,49.0437685436201,49.1853357092754,49.1853357093754,49.32673612925243,49.32673612935243,49.46780305767292,49.46780305777292,49.60836974875858,49.60836974885858,49.74776921939631,49.74776921949631,49.88700194425577,49.887001944355774,50.02601234141087,50.02601234151087,50.30364406223842,50.30364406233842,50.4420986401326,50.4420986402326,50.58044205417459,50.58044205427459,50.718451976660035,50.718451976760036,50.85596166181066,50.85596166191066,50.99341576503519,50.99341576513519,51.13070312248144,51.130703122581444,51.267879316075515,51.26787931617552,51.541953793633205,51.54195379373321,51.67868533181854,51.678685331918544,51.815194542299515,51.81519454239952,51.95120351544566,51.951203515545664,52.08710132473963,52.08710132483963,52.22116493047257,52.22116493057257,52.35517295427942,52.35517295437942,52.489125396160176,52.48912539626018,52.62279992841048,52.62279992851048,52.75475142095194,52.75475142105194,52.88648058578904,52.88648058588904,53.148493785384844,53.148493785484845,53.27844432858701,53.27844432868701,53.4082281260109,53.4082281261109,53.53690028491295,53.536900285012955,53.66523895225846,53.665238952358465,53.79341087382569,53.793410873925694,53.92147163154074,53.92147163164074,54.04914331577315,54.04914331587315,54.17642592652292,54.17642592662292,54.303097136085675,54.30309713618568,54.42943485409189,54.42943485419189,54.55543908054155,54.55543908064155,54.681332143139024,54.681332143239025,54.80666938647558,54.806669386575585,54.931395228625135,54.93139522872514,55.05545408766159,55.05545408776159,55.303405059956226,55.30340506005623,55.42718600936222,55.42718600946222,55.549521828689834,55.549521828789835,55.67130182875653,55.671301828856535,55.792970664971044,55.792970665071046,55.913416698811545,55.91341669891155,56.033751568799865,56.033751568899866,56.154030856862086,56.15403085696209,56.273698743737306,56.27369874383731,56.3928663932777,56.3928663933777,56.51181171511372,56.511811715213724,56.6304791273193,56.6304791274193,56.86775836980434,56.867758369904344,56.98625903623164,56.98625903633164,57.10387039184146,57.10387039194146,57.22114825589474,57.22114825599474,57.33837053802193,57.33837053812193,57.45525932859257,57.45525932869257,57.57209253723711,57.57209253733711,57.688258762768555,57.68825876286856,57.804369406373915,57.80436940647392,58.03653511165853,58.03653511175853,58.26858965309096,58.268589653190965,58.38447796899195,58.384477969091954,58.50031070296685,58.50031070306685,58.6158099453852,58.6158099454852,58.731253605877455,58.73125360597746,58.84664168444362,58.84664168454362,58.961640689527144,58.961640689627146,59.07658411268457,59.07658411278457,59.191416371989824,59.191416372089826,59.305803975886334,59.305803975986336,59.419858088226306,59.41985808832631,59.53385661864018,59.53385661874018,59.64774398520187,59.64774398530187,59.87501848099043,59.87501848109043,59.98812770058684,59.98812770068684,60.10073668284842,60.10073668294842,60.21306775547954,60.213067755579544,60.32473184499757,60.324731845097574,60.434339403250206,60.43433940335021,60.54344672416802,60.54344672426802,60.652442881233654,60.652442881333656,60.76088321903837,60.76088321913837,60.86882331950826,60.86882331960826,60.97670783805205,60.97670783815205,61.084425610817576,61.08442561091758,61.19208780165701,61.19208780175701,61.299583246718164,61.299583246818166,61.40607821710967,61.406078217209675,61.51218411401854,61.51218411411854,61.72406241627972,61.724062416379724,61.82855643733193,61.828556437431935,61.93288371260587,61.93288371270587,62.03698866017544,62.03698866027544,62.141038025818915,62.14103802591892,62.24497622761021,62.24497622771021,62.348303028214495,62.3483030283145,62.451240755336144,62.451240755436146,62.55378940897515,62.55378940907515,62.75871997047488,62.75871997057488,62.860823968705155,62.86082396880516,63.06486521938742,63.06486521948742,63.1662466525785,63.1662466526785,63.2675169219174,63.2675169220174,63.36867602740411,63.368676027504115,63.46911256785164,63.46911256795164,63.5692711986687,63.5692711987687,63.769421714524555,63.769421714624556,63.86919127185898,63.86919127195898,63.968849665341224,63.968849665441226,64.06806340341473,64.06806340351473,64.16716597763606,64.16716597773606,64.26621296993129,64.26621297003129,64.36459297911343,64.36459297921343,64.46219484133027,64.46219484143028,64.55957437584276,64.55957437594276,64.65689832842915,64.65689832852915,64.85126832397148,64.85126832407148,64.94825878500133,64.94825878510133,65.04397086173107,65.04397086183107,65.13934944690425,65.13934944700425,65.23461686822526,65.23461686832526,65.32971754376798,65.32971754386799,65.42448472775416,65.42448472785416,65.51908516596207,65.51908516606207,65.61312978490906,65.61312978500906,65.70700765807777,65.70700765817777,65.8008299493204,65.8008299494204,65.89454107671084,65.89454107681084,65.98819662217518,65.98819662227518,66.08168542186127,66.08168542196127,66.17439607458205,66.17439607468205,66.26699556345066,66.26699556355067,66.35942830654099,66.359428306641,66.45169430385305,66.45169430395305,66.54373797346074,66.54373797356074,66.63567047921624,66.63567047931625,66.7273250753413,66.7273250754413,66.8186461799098,66.81864618000981,66.90924471943912,66.90924471953912,66.99973209511624,66.99973209521625,67.08988597923681,67.08988597933681,67.17981753565303,67.17981753575303,67.26958234629096,67.26958234639096,67.3592915750028,67.3592915751028,67.44894522178856,67.44894522188856,67.53843212279604,67.53843212289604,67.62764111417306,67.62764111427306,67.71662777784572,67.71662777794572,67.89454552326492,67.89454552336493,67.9834210230854,67.9834210231854,68.07224094097978,68.07224094107978,68.16083853116979,68.16083853126979,68.24932495750761,68.24932495760761,68.3374778922889,68.3374778923889,68.42540849936582,68.42540849946582,68.51328352451664,68.51328352461664,68.60071389425872,68.60071389435872,68.68803310014863,68.68803310024863,68.77512997833416,68.77512997843417,68.8621712745936,68.86217127469361,68.94876791544432,68.94876791554432,69.03530897436895,69.03530897446895,69.1216832875153,69.1216832876153,69.20727945369636,69.20727945379636,69.29254212832087,69.29254212842088,69.37769363909321,69.37769363919321,69.46278956793945,69.46278956803945,69.5472185136726,69.5472185137726,69.71602082321279,69.71602082331279,69.8000051135372,69.8000051136372,69.88387824000942,69.88387824010942,69.96730671107292,69.96730671117292],[0.0,1e-10,3.642561526413087,3.642561526513087,6.980367352065924,6.980367352165924,10.245082944908306,10.245082945008306,13.418032777773455,13.418032777873455,16.527452469115904,16.527452469215902,19.447226628633807,19.447226628733805,22.34615756586736,22.34615756596736,25.235361666034887,25.235361666134885,28.008232794892688,28.008232794992686,30.767375188005865,30.767375188105863,33.34798843451282,33.34798843461282,35.614452634750045,35.614452634850046,37.868410901616656,37.86841090171666,40.04422098039848,40.04422098049848,42.12231803311126,42.122318033211265,44.17468065404364,44.17468065414364,46.17574115719347,46.17574115729347,48.03684637044464,48.036846370544644,49.820637124502404,49.820637124602406,51.53861887806771,51.53861887816771,53.09891470731114,53.09891470741114,54.62447183274732,54.62447183284732,56.13196483220372,56.13196483230372,57.58015191652039,57.580151916620395,59.02372570097146,59.02372570107146,60.39331994179461,60.39331994189461,61.75574411415194,61.75574411425194,63.07737115275803,63.077371152858035,64.3839354893933,64.3839354894933,65.62891505191908,65.62891505201908,66.84210175272045,66.84210175282045,68.04839629468648,68.04839629478649,69.23106851806357,69.23106851816357,70.38650559765577,70.38650559775577,71.53071512817748,71.53071512827748,72.65608238575413,72.65608238585413,73.7760026145738,73.7760026146738,74.8680207164955,74.8680207165955,75.93058039758863,75.93058039768863,76.99197285823385,76.99197285833385,78.01573635491505,78.01573635501505,78.94840107473212,78.94840107483212,79.70803925862603,79.70803925872603,80.46317530650653,80.46317530660653,81.20508285597722,81.20508285607723,81.93492912748604,81.93492912758605,82.65371459570262,82.65371459580263,83.35182358741314,83.35182358751314,83.95744425410723,83.95744425420723,84.51715424984965,84.51715424994966,85.06819346512178,85.06819346522178,85.59638850877027,85.59638850887028,86.12347191389692,86.12347191399692,86.61592777906851,86.61592777916852,87.0891522978124,87.0891522979124,87.52697112963595,87.52697112973595,87.9276056529042,87.9276056530042,88.29639173252198,88.29639173262198,88.66473315673103,88.66473315683103,89.02462612817415,89.02462612827415,89.37312480476848,89.37312480486848,89.70278120841778,89.70278120851778,90.01998726062254,90.01998726072254,90.33419188881837,90.33419188891837,90.63088821029532,90.63088821039533,90.92519450895036,90.92519450905036,91.20844000431316,91.20844000441316,91.48985129611494,91.48985129621494,91.75158658608028,91.75158658618028,92.00687437261901,92.00687437271901,92.23709471049042,92.23709471059043,92.44713880919058,92.44713880929058,92.65040191290757,92.65040191300757,92.85144173958089,92.8514417396809,93.03986446903141,93.03986446913142,93.22289575165107,93.22289575175107,93.40392608493141,93.40392608503142,93.57728611241112,93.57728611251112,93.74792262551233,93.74792262561233,93.89843848136839,93.89843848146839,94.0452859301024,94.0452859302024,94.16817756869092,94.16817756879092,94.28434379422237,94.28434379432237,94.39578555603603,94.39578555613603,94.50544869621476,94.50544869631476,94.60605198244056,94.60605198254056,94.70626619518372,94.70626619528372,94.79319632759098,94.79319632769098],[0.0,1e-10,9.108877211743794,9.108877211843794,17.313436485977235,17.313436486077233,24.840729990784517,24.840729990884515,30.80250296529576,30.802502965395757,36.67417763761251,36.67417763771251,41.77732101786069,41.777321017960695,46.84177937754912,46.841779377649125,51.50949394879571,51.50949394889571,55.9355938873221,55.9355938874221,59.435643355236316,59.43564335533632,62.851930860530494,62.851930860630496,66.19562837034904,66.19562837044904,69.41526702113114,69.41526702123114,71.97692683084085,71.97692683094085,73.35169019079052,73.35169019089052,74.72139559546585,74.72139559556585,76.06392143828238,76.06392143838238,77.40516889679881,77.40516889689881,78.65048195088114,78.65048195098115,79.84221402821116,79.84221402831116,80.73463743353791,80.73463743363791,81.54774543033194,81.54774543043195,82.30377078902991,82.30377078912991,82.90144324029289,82.9014432403929,83.29507444087362,83.29507444097362,83.60772277513887,83.60772277523887,83.80876260181219,83.80876260191219,83.95649936136367,83.95649936146367,84.06899717977306,84.06899717987307],[0.0,1e-10,7.899636827694917,7.899636827794917,15.436490423789953,15.436490423889953,21.912840870057238,21.912840870157236,28.319102507523013,28.31910250762301,34.30583176684938,34.30583176694938,40.1995724638245,40.199572463924504,45.19988928080323,45.19988928090323,50.000500237334826,50.00050023743483,54.651818140384385,54.65181814048439,58.66644508005465,58.66644508015465,62.01975826308704,62.01975826318704,65.12617653042054,65.12617653052054,68.20886131531293,68.20886131541293,71.18293901662233,71.18293901672233,73.92285006330782,73.92285006340782,76.49873884609698,76.49873884619699,78.51992000649197,78.51992000659197,80.02179923141313,80.02179923151313,81.50411361835003,81.50411361845003,82.88326795046095,82.88326795056095,84.21417717072433,84.21417717082433,85.46727169445948,85.46727169455949,86.6907966335139,86.6907966336139,87.89208880213168,87.89208880223168,89.04152303370599,89.04152303380599,90.17695061990523,90.17695062000523,91.20716162001305,91.20716162011306,92.02977412616875,92.02977412626875,92.79535957615447,92.79535957625447,93.44805813424814,93.44805813434814,94.07907974116608,94.07907974126609,94.50789430096279,94.50789430106279,94.84788894286511,94.84788894296511,95.16748501789182,95.16748501799182,95.39703837265013,95.39703837275013,95.52087490398222,95.52087490408222,95.64171001130536,95.64171001140537,95.75493039475396,95.75493039485396],[0.0,1e-10,9.108932793669885,9.108932793769885,17.256409429807253,17.25640942990725,24.783814098466717,24.783814098566715,31.861783312749495,31.861783312849493,37.733457985066245,37.73345798516625,43.31166008761935,43.31166008771935,48.75479810976986,48.75479810986986,53.730603297342185,53.73060329744219,57.93448669535435,57.93448669545435,62.07267225672625,62.07267225682625,65.48907092587261,65.48907092597261,68.73672286740486,68.73672286750487,71.76577109361887,71.76577109371887,74.50751634386536,74.50751634396536,76.52352838513383,76.52352838523383,78.40358703518224,78.40358703528224,80.2701392771904,80.2701392772904,81.93320608777721,81.93320608787721,83.42530289370623,83.42530289380623,84.80023299943417,84.80023299953417,86.17182818959662,86.17182818969663,87.54142243041977,87.54142243051977,88.78112170996684,88.78112171006684,89.98925045549389,89.98925045559389,91.15563717452613,91.15563717462614,91.96874517132017,91.96874517142017,92.72477053001813,92.72477053011814,93.40492655960105,93.40492655970105,93.99976433263338,93.99976433273338,94.52840403169058,94.52840403179059,95.05437579829541,95.05437579839541,95.42205023939135,95.42205023949136,95.73469857365662,95.73469857375662,95.83046623231245,95.83046623241245],[0.0,1e-10,0.7472989963015786,0.7472989964015786,1.3603676410919403,1.3603676411919403,1.8734999827696028,1.8734999828696028,2.342055619721801,2.342055619821801,2.8046639905821986,2.8046639906821986,3.2656049036598476,3.2656049037598476,3.7166522338931913,3.7166522339931913,4.165087213600231,4.165087213700231,4.605518395950079,4.605518396050079,5.044059792812813,5.044059792912813,5.468594544300463,5.468594544400463,5.891906493414098,5.891906493514098,6.314495877488541,6.314495877588541,6.725579802862025,6.725579802962025,7.135607671639767,7.135607671739767,7.540410839364899,7.540410839464899,7.938655339811222,7.938655339911222,8.336566348700995,8.336566348800995,8.717413706280647,8.717413706380647,9.09481498444262,9.09481498454262,9.467547380812897,9.467547380912897,9.83700044354377,9.83700044364377,10.206397924348552,10.206397924448552,10.573516546183578,10.573516546283578,10.939301201792405,10.939301201892405,11.304641201992501,11.304641202092501,11.664645337287801,11.664645337387801,12.02453830873092,12.02453830883092,12.379929144160618,12.379929144260618,12.732707629064011,12.732707629164011,13.081373051436627,13.081373051536627,13.42931590877005,13.42931590887005,13.769977533785474,13.769977533885474,14.108415881757233,14.108415881857233,14.444130715350505,14.444130715450505,14.777733435752296,14.777733435852296,15.10694518399285,15.10694518409285,15.42631893131519,15.42631893141519,15.741913107663303,15.741913107763303,16.056562391267857,16.056562391367855,16.370433527907128,16.370433528007126,16.68074742127654,16.680747421376537,16.990950150793765,16.990950150893763,17.296317252741023,17.29631725284102,17.599405495718525,17.599405495818523,17.896657636456407,17.896657636556405,18.19352070371165,18.193520703811647,18.488438403553687,18.488438403653685,18.782300046799982,18.78230004689998,19.36435397683123,19.364353976931227,19.651934862429176,19.651934862529174,19.93884876491402,19.93884876501402,20.224317537320484,20.224317537420482,20.501671348517576,20.501671348617574,20.776857464597093,20.77685746469709,21.04581840495435,21.045818405054348,21.314557017607243,21.31455701770724,21.582295155590487,21.582295155690485,21.846531632229958,21.846531632329956,22.107377611377842,22.10737761147784,22.366834042373437,22.366834042473435,22.625679072182024,22.625679072282022,22.88441293813843,22.884412938238427,23.1413681824599,23.141368182559898,23.39676713285081,23.396767132950806,23.647997438784845,23.647997438884843,23.894836772557646,23.894836772657644,24.14073121358689,24.140731213686887,24.380789552376516,24.380789552476514,24.620792309240052,24.62079230934005,24.860739484177493,24.86073948427749,25.10046433141057,25.10046433151057,25.338077065452165,25.338077065552163,25.5754118898633,25.5754118899633,25.81241322271789,25.812413222817888,26.046579877341806,26.046579877441804,26.279356983813432,26.27935698391343,26.51080012405886,26.51080012415886,26.738741602960516,26.738741603060515,26.96245885547921,26.962458855579207,27.185509124884806,27.185509124984804,27.406169371468465,27.406169371568463,27.62605147108684,27.626051471186837,27.845766824926937,27.845766825026935,28.063981466762563,28.06398146686256,28.28180703511555,28.281807035215547,28.497909563759695,28.497909563859693,28.713178363512466,28.713178363612464,28.927724598226046,28.927724598326044,29.141659431752622,29.14165943185262,29.355371937574827,29.355371937674825,29.567472567540378,29.567472567640376,29.778517140910186,29.778517141010184,29.98867240346253,29.98867240356253,30.198049519049594,30.198049519149592,30.40692639730183,30.40692639740183,30.61552536592361,30.615525366023608,30.822623622540917,30.822623622640915,31.02749860211456,31.027498602214557,31.23159543472292,31.231595434822918,31.435080866144272,31.43508086624427,31.637621404822067,31.637621404922065,31.83977287001722,31.83977287011722,32.040812696690544,32.040812696790546,32.240796466768124,32.240796466868126,32.439446270619506,32.43944627071951,32.635650469722854,32.635650469822856,32.83174350497403,32.83174350507403,33.02772537637301,33.027725376473015,33.22203978998925,33.222039790089255,33.41435325426619,33.41435325436619,33.60511042461257,33.60511042471257,33.98623569182268,33.98623569192268,34.17415818393838,34.17415818403838,34.3619695122019,34.361969512301904,34.54961409468714,34.549614094787145,34.7358691290201,34.735869129120104,34.9218462537226,34.9218462538226,35.10771221457291,35.107712214672915,35.29296677423622,35.29296677433622,35.47588689300368,35.475886893103684,35.658640265992865,35.65864026609287,35.83889245230793,35.83889245240793,36.01853323743598,36.01853323753598,36.19745145752485,36.19745145762485,36.37631409568762,36.37631409578762,36.554231841106834,36.554231841206835,36.73009305526066,36.73009305536066,36.90550961400576,36.90550961410576,37.080537099268206,37.08053709936821,37.252229668965164,37.252229669065166,37.42347758325339,37.42347758335339,37.76413920826881,37.76413920836881,37.932330116622,37.932330116722,38.100187533418634,38.100187533518636,38.267655876732626,38.26765587683263,38.434290491155245,38.43429049125525,38.59914648394294,38.59914648404294,38.76389131287844,38.763891312978444,38.928524977961764,38.928524978061766,39.09282515148854,39.09282515158854,39.25679183345876,39.256791833558765,39.41809058297659,39.41809058307659,39.57900025901178,39.57900025911178,39.73979877119478,39.73979877129478,39.90020820989514,39.90020820999514,40.05972833777803,40.059728337878035,40.21852590062174,40.218525900721744,40.37710113576108,40.37710113586108,40.53562078897433,40.53562078907433,40.69247298440482,40.692472984504825,40.84926959790923,40.84926959800923,41.00601062948755,41.00601062958755,41.31782523486143,41.31782523496143,41.47278764480481,41.47278764490481,41.62663841622636,41.626638416326365,41.934173213291196,41.9341732133912,42.08735700159965,42.08735700169965,42.239317987534086,42.23931798763409,42.38977826146405,42.389778261564054,42.54012737154183,42.54012737164183,42.69036531776743,42.69036531786743,42.839936280879925,42.83993628097993,42.9876730404314,42.987673040531405,43.13524305420461,43.13524305430461,43.28264632219953,43.282646322299534,43.42982726249009,43.429827262590095,43.57695262085456,43.576952620954565,43.72313308647547,43.72313308657547,43.86847982320501,43.86847982330501,44.0128260852649,44.0128260853649,44.15656094613778,44.15656094623778,44.29940649619319,44.299406496293194,44.44197413661815,44.44197413671815,44.58431944933874,44.584319449438745,44.726386852428874,44.726386852528876,45.01029933090477,45.010299331004774,45.15203324243836,45.15203324253836,45.29371157204585,45.29371157214585,45.43511199202288,45.435111992122884,45.575789846960724,45.575789847060726,45.71591188263765,45.71591188273765,45.8558671725363,45.8558671726363,46.1344993680335,46.134499368133504,46.410908286487036,46.41090828658704,46.54808448008111,46.54808448018111,46.684704854414264,46.684704854514266,46.82121406489524,46.82121406499524,46.9564448910761,46.956444891176105,47.09139780762651,47.09139780772651,47.22612839647255,47.22612839657255,47.360136420279396,47.3601364203794,47.49397769830797,47.493977698407974,47.62659617396253,47.626596174062534,47.758769994208365,47.758769994308366,47.890665904823734,47.890665904923736,48.02206157810428,48.02206157820428,48.284797342739274,48.284797342839276,48.416081852167636,48.41608185226764,48.546477050778535,48.546477050878536,48.67581619279369,48.67581619289369,48.803876950508744,48.803876950608746,49.05994288401275,49.05994288411275,49.18761456824516,49.18761456834516,49.31511950669929,49.31511950679929,49.4421242078186,49.4421242079186,49.56823959812044,49.568239598220444,49.69385475108746,49.69385475118746,49.819080830571835,49.81908083067184,49.94425132813012,49.94425132823012,50.06892158835358,50.068921588453584,50.193202775094406,50.19320277519441,50.31742837990913,50.31742838000913,50.440987001610765,50.440987001710766,50.68793749923575,50.68793749933575,50.81105146552864,50.811051465628644,50.93405426796936,50.93405426806936,51.05694590655789,51.056945906657894,51.179559635515965,51.179559635615966,51.30206220062185,51.30206220072185,51.42361987298418,51.423619873084185,51.666457308078385,51.66645730817839,51.78762590695808,51.78762590705808,51.90823868657685,51.90823868667685,52.02851797463908,52.02851797473908,52.14863051692303,52.14863051702303,52.2685763134287,52.268576313528705,52.388355364156105,52.38835536425611,52.507356267918226,52.50735626801823,52.62585693434552,52.62585693444552,52.74396852729017,52.74396852739017,52.86196895638264,52.86196895648264,52.978913328879365,52.97891332897937,53.095190718263,53.095190718363,53.21063437875525,53.210634378855254,53.44135495396149,53.441354954061495,53.555964885562375,53.55596488566238,53.67007457982843,53.67007457992843,53.78379520061185,53.78379520071185,53.897293493690896,53.8972934937909,54.01001363980466,54.01001363990466,54.12223354858361,54.12223354868361,54.23395322002772,54.233953220127724,54.3452838179892,54.3452838180892,54.4564476701724,54.456447670272404,54.56716686694688,54.56716686704688,54.78827176893926,54.78827176903926,54.89843514645282,54.89843514655282,55.00854294204028,55.00854294214028,55.1182616641451,55.118261664245104,55.226813165802,55.226813165902,55.33519792168062,55.33519792178062,55.44313802215051,55.44313802225051,55.55091137684212,55.550911376942125,55.65818449419891,55.658184494298915,55.76529086577743,55.76529086587743,55.871619090390666,55.87161909049067,56.08421995769104,56.08421995779104,56.19015910882163,56.190159108921634,56.29604267802613,56.296042678126135,56.4014815918219,56.4014815919219,56.50680934176548,56.506809341865484,56.61152569052206,56.61152569062206,56.71568622001772,56.715686220117725,56.81962442180902,56.81962442190902,56.92272889470893,56.922728894808934,57.23187556763042,57.23187556773042,57.334646548973794,57.334646549073796,57.43675054720406,57.436750547304065,57.53796523461687,57.53796523471687,57.639068758177494,57.639068758277496,57.74000553595984,57.74000553605984,57.84088673181609,57.84088673191609,57.94104536263316,57.94104536273316,58.1413070423412,58.1413070424412,58.241243345453896,58.2412433455539,58.34073499315787,58.34073499325787,58.439781985453095,58.4397819855531,58.538384322339596,58.5383843224396,58.63676433152173,58.636764331621734,58.73508875877778,58.73508875887778,58.83313527640336,58.83313527650336,59.029117147802346,59.02911714790235,59.1267190100192,59.1267190101192,59.22420970838387,59.22420970848387,59.32069993207889,59.32069993217889,59.41702340999563,59.41702341009563,59.51284665057755,59.51284665067755,59.60861430923338,59.60861430933338,59.70432638596312,59.70432638606312,59.79992729884067,59.79992729894067,59.89541704786604,59.89541704796604,59.99074005111314,59.990740051213145,60.08584072665587,60.08584072675587,60.18038558293768,60.18038558303768,60.27448578381076,60.27448578391076,60.36841923890557,60.36841923900557,60.461741292813365,60.461741292913366,60.55456310938634,60.554563109486345,60.647329344033224,60.647329344133226,60.83202808443561,60.832028084535615,60.92368268056067,60.92368268066067,61.014837039350894,61.014837039450896,61.10588023428893,61.105880234388934,61.196756683448704,61.196756683548706,61.28757755068238,61.28757755078238,61.37823167213778,61.37823167223778,61.46866346588882,61.46866346598882,61.55903967771376,61.559039677813765,61.739680937511466,61.73968093761147,61.82989040355813,61.82989040365813,61.919933123826524,61.919933123926526,62.09990740051113,62.09990740061113,62.189672211149066,62.18967221124907,62.27938143986091,62.279381439960915,62.36897950472057,62.36897950482057,62.458521987654144,62.458521987754146,62.54784214288335,62.54784214298335,62.636717642703815,62.636717642803816,62.72492615941119,62.72492615951119,62.81307909419247,62.81307909429247,62.90106528319547,62.90106528329547,62.98844007101147,62.98844007111147,63.07570369497528,63.07570369507528,63.162856155086914,63.162856155186915,63.249786287494175,63.249786287594176,63.423257478826066,63.42325747892607,63.50952062812023,63.50952062822023,63.59489446659693,63.59489446669693,63.68004597736926,63.68004597746926,63.76497516043723,63.76497516053723,63.84957085194865,63.84957085204865,63.933944215755695,63.933944215855696,64.01826199763666,64.01826199773666,64.18678639754638,64.18678639764639,64.2707151059447,64.2707151060447,64.35431032278647,64.35431032288648],[0.0,1e-10,1.1290912466247875,1.1290912467247876,2.206046646575653,2.206046646675653,3.0710125804131514,3.0710125805131514,3.8392103809251723,3.8392103810251723,4.550714616823759,4.550714616923759,5.242709596664195,5.242709596764195,5.934148757243714,5.934148757343714,6.609191249626211,6.609191249726211,7.278175312064724,7.278175312164724,7.929317576227833,7.929317576327833,8.57629119593407,8.57629119603407,9.21287099546118,9.21287099556118,9.842947709635572,9.842947709735572,10.45134747263424,10.45134747273424,11.055800918880403,11.055800918980403,11.640356035585773,11.640356035685773,12.210515433433418,12.210515433533418,12.757219258470407,12.757219258570407,13.302922608837749,13.302922608937749,13.847514320683258,13.847514320783258,14.386381094141331,14.386381094241331,14.923469245964474,14.923469246064474,15.451441961908595,15.451441962008595,15.9775248923656,15.9775248924656,16.48815604736914,16.48815604746914,16.982668443806116,16.982668443906114,17.467787494733614,17.467787494833612,17.95262863603065,17.952628636130648,18.92108811625071,18.92108811635071,19.40287225161271,19.402872251712708,19.873706747534662,19.87370674763466,20.324976405472373,20.32497640557237,20.773856040588146,20.773856040688145,21.220290070955887,21.220290071055885,21.66222196531021,21.662221965410208,22.10209732839914,22.102097328499138,22.540805471040148,22.540805471140146,22.978568720937602,22.9785687210376,23.389041245124076,23.389041245224075,23.797179328414703,23.7971793285147,24.197424778200325,24.197424778300324,24.597392318355485,24.597392318455483,24.992968886349413,24.99296888644941,25.387322651969324,25.387322652069322,25.780620360993492,25.78062036109349,26.173528996535023,26.17352899663502,26.56432551888507,26.56432551898507,26.94950826669987,26.949508266799867,27.327354200270573,27.32735420037057,27.70386616761508,27.703866167715077,28.078266021768105,28.078266021868103,28.440938089515804,28.440938089615802,28.786713251731655,28.786713251831653,29.132377250095324,29.132377250195322,29.47637379067624,29.47637379077624,29.815923777169836,29.815923777269834,30.154084215511137,30.154084215611135,30.489965794882682,30.48996579498268,30.824846899584582,30.82484689968458,31.159616840434296,31.159616840534294,31.492997233131717,31.492997233231716,31.82515482345513,31.825154823555128,32.155867283700154,32.155867283800156,32.4811882971143,32.4811882972143,32.80517534430224,32.805175344402244,33.1277172614118,33.127717261511805,33.4480359014777,33.448035901577704,33.76735406687395,33.76735406697395,34.084448955226534,34.084448955326536,34.401210352022574,34.401210352122575,34.71697127414896,34.71697127424896,35.03228754086661,35.032287540966614,35.34071164874891,35.34071164884891,35.643410818243765,35.64341081834377,35.943553219138415,35.94355321923842,36.24291747306778,36.24291747316778,36.53883564757946,36.53883564767946,36.832697290825756,36.83269729092576,37.12300169080219,37.12300169090219,37.41174979684806,37.411749796948065,37.69977533785474,37.69977533795474,37.98168686699134,37.98168686709134,38.26326490457139,38.263264904671395,38.541563608512035,38.54156360861204,38.81958440282223,38.81958440292223,39.09582657549748,39.095826575597485,39.371346183133554,39.371346183233555,39.64375320290849,39.643753203008494,39.91477067453114,39.91477067463114,40.1843430160754,40.184343016175404,40.45252580946738,40.45252580956738,40.71993045589407,40.719930455994074,40.98722393846858,40.98722393856858,41.25107134162542,41.25107134172542,41.51319570507341,41.51319570517341,41.773874938443015,41.77387493854302,42.29267663658202,42.292676636682025,42.54968746282959,42.54968746292959,42.805864560185775,42.80586456028578,43.06009629012876,43.06009629022876,43.31343870925428,43.31343870935428,43.566280891044975,43.56628089114498,43.818400507796476,43.81840050789648,44.07029779684361,44.07029779694361,44.321305775073284,44.321305775173286,44.57114653285503,44.571146532955034,44.82093170871069,44.82093170881069,45.06843802559659,45.068438025696594,45.31144220646907,45.31144220656907,45.553279166893624,45.553279166993626,45.794060070722445,45.79406007082245,46.03378491795552,46.033784918055524,46.27334301941032,46.27334301951032,46.5117339004172,46.5117339005172,46.749846871793615,46.74984687189362,46.98607005768292,46.986070057782925,47.221793006237405,47.22179300633741,47.456459898196144,47.456459898296146,47.68951491429823,47.68951491439823,47.92151387380457,47.92151387390457,48.15245677671518,48.15245677681518,48.38317735192141,48.38317735202141,48.61284187053191,48.61284187063191,48.84050543980311,48.84050543990311,49.06800226329603,49.06800226339603,49.295110013306314,49.295110013406315,49.52016123205121,49.52016123215121,49.74476779538737,49.74476779548737,49.96865179368434,49.96865179378434,50.19047926071592,50.19047926081592,50.41175090848658,50.41175090858658,50.63285581047897,50.632855810578974,50.85379396669309,50.85379396679309,51.07362048438537,51.073620484485375,51.2931135105211,51.293113510621104,51.51232862702638,51.51232862712638,51.729487212266264,51.729487212366266,51.94597881439305,51.94597881449305,52.16174785148065,52.16174785158065,52.37696106930733,52.37696106940733,52.591118230538264,52.591118230638266,52.804941900212654,52.804941900312656,53.01798742292176,53.017987423021765,53.229031996291575,53.229031996391576,53.43885376728737,53.43885376738737,53.64789739131788,53.647897391417885,53.85616286838311,53.85616286848311,54.0640392719657,54.0640392720657,54.27130427436128,54.27130427446128,54.47756880208721,54.477568802187214,54.68294401899568,54.68294401909568,54.88804132627369,54.88804132637369,55.091637921547225,55.09163792164723,55.29423404215111,55.29423404225111,55.49660783505063,55.496607835150634,55.69842580868924,55.69842580878924,55.90018820040174,55.900188200501745,56.10078337166634,56.10078337176634,56.29743222617842,56.297432226278424,56.49319176987304,56.493191769973045,56.68845107623284,56.68845107633284,56.8819317609577,56.8819317610577,57.074411971012914,57.074411971112916,57.26661427143767,57.26661427153767,57.458594244158064,57.458594244258066,57.64907350487398,57.649073504973984,57.83927485595944,57.83927485605944,58.026697110740315,58.02669711084032,58.213007726999365,58.21300772709937,58.398706942071406,58.39870694217141,58.584128247512986,58.58412824761299,58.76649254701953,58.76649254711953,58.94796753570861,58.94796753580861,59.31013936612148,59.310139366221485,59.48755687420587,59.487556874305874,59.664585308807624,59.664585308907625,59.840668850665814,59.840668850765816,60.01630773711528,60.01630773721528,60.19116847659945,60.19116847669945,60.36580688837926,60.36580688847926,60.53983389897207,60.53983389907207,60.88766559245331,60.88766559255331,61.06013630911555,61.06013630921555,61.232273534221235,61.23227353432124,61.40424401354865,61.40424401364865,61.57554750976296,61.575547509862965,61.746017277085905,61.746017277185906,61.9161535528523,61.9161535529523,62.08595633706214,62.085956337162145,62.25448073697187,62.25448073707187,62.42233815376851,62.42233815386851,62.5898620790086,62.5898620791086,62.756385529579035,62.75638552967904,62.92263107051901,62.92263107061901,63.08715357175015,63.08715357185015,63.251398163350835,63.25139816345084,63.414308788725315,63.414308788825316,63.57633010328234,63.57633010338234,63.73818467206108,63.73818467216108,63.89970574928327,63.89970574938327,64.06044867954019,64.06044867964019,64.21924624238389,64.21924624248389,64.37704333055794,64.37704333065794,64.53478483680591,64.53478483690591,64.69135912260595,64.69135912270595,64.8478778264799,64.8478778265799,65.00350721953637,65.00350721963638,65.15902544874068,65.15902544884068,65.31359878520142,65.31359878530142,65.62196731115763,65.62196731125763,65.7756513368009,65.7756513369009,65.92827930584843,65.92827930594844,66.0807961110438,66.0807961111438,66.23281267890432,66.23281267900433,66.38327295283429,66.38327295293429,66.53306624365115,66.53306624375115,66.68280395254193,66.68280395264193,66.83070745787168,66.83070745797168,66.97855538127534,66.97855538137534,67.12601423119635,67.12601423129635,67.27319517148692,67.27319517158692,67.42009820214702,67.42009820224702,67.56689006895493,67.56689006905493,67.71218122375838,67.71218122385838,67.85730563278355,67.85730563288355,68.00226329603045,68.00226329613045,68.14710979542517,68.14710979552517,68.29084465629805,68.29084465639805,68.43435718946655,68.43435718956655,68.57775855878289,68.57775855888289,68.7206041088383,68.7206041089383,68.86317174926326,68.86317174936326,69.00507240657512,69.00507240667513,69.14686190003479,69.1468619001348,69.28715068148999,69.28715068158999,69.42693922561037,69.42693922571037,69.5663942781742,69.5663942782742,69.70579374881194,69.70579374891194,69.84513763752358,69.84513763762358,69.98225824919156,69.98225824929156,70.11848955004207,70.11848955014207,70.25449852318822,70.25449852328822,70.38978493129518,70.38978493139518,70.52440435628904,70.52440435638904,70.65885703550462,70.65885703560463,70.79253156775492,70.79253156785492,71.0594359768468,71.0594359769468,71.19249910791008,71.19249910801008,71.3247840920081,71.3247840921081,71.45673558454956,71.45673558464956,71.58829800360837,71.58829800370837,71.71863762029318,71.71863762039318,71.8488660731258,71.8488660732258,71.97870545247578,71.97870545257578,72.10726644752566,72.10726644762566,72.23460464020152,72.23460464030153,72.36088677628163,72.36088677638163,72.48661309310084,72.48661309320084,72.6099493870981,72.6099493871981,72.73139589560824,72.73139589570825,72.8527868221923,72.8527868222923,72.97401100299808,72.97401100309808,73.09512401995168,73.09512402005168,73.21540330801392,73.21540330811392,73.45546164680354,73.45546164690354,73.57451813249175,73.57451813259175,73.69251856158422,73.69251856168422,73.81012991719405,73.81012991729405,73.92724103546905,73.92724103556905,74.0433516790744,74.0433516791744,74.15890650341885,74.15890650351885,74.27412783620673,74.27412783630673,74.50451491985642,74.50451491995642,74.61895810567903,74.61895810577903,74.73284547224071,74.73284547234071,74.8461770195415,74.8461770196415,74.95895274758135,74.95895274768135,75.18350372899143,75.18350372909143,75.2942229257659,75.2942229258659,75.40238535394015,75.40238535404015,75.51032545441004,75.51032545451004,75.6177653175451,75.61776531764511,75.72426028793662,75.72426028803662,75.83014385714111,75.83014385724111,75.93508253360206,75.93508253370206,76.03940980887599,76.03940980897599,76.1419028805889,76.1419028806889,76.24428478844963,76.24428478854963,76.34566622164071,76.34566622174071,76.4469920729057,76.4469920730057,76.5475397772054,76.5475397773054,76.64769840802248,76.64769840812248,76.74774587498736,76.74774587508736,76.84773776002615,76.84773776012615,76.94761848121276,76.94761848131276,77.04677663736017,77.04677663746017,77.1451566465423,77.1451566466423,77.2417580340895,77.2417580341895,77.33802593008016,77.33802593018017,77.43423824414472,77.43423824424472,77.5303393943571,77.5303393944571,77.624939832565,77.624939832665,77.71920677921636,77.71920677931637,77.81330698008944,77.81330698018944,77.90601763281023,77.90601763291023,77.99694966389609,77.99694966399609,78.08710354801667,78.08710354811667,78.26652200544036,78.26652200554037,78.35456377636946,78.35456377646946,78.61857792530456,78.61857792540457,78.70645295045539,78.70645295055539,78.79427239368012,78.79427239378012,78.88175834534829,78.88175834544829,78.96896638738602,78.96896638748602,79.05534070053237,79.05534070063237,79.14149268597434,79.14149268607434,79.22758908949024,79.22758908959024,79.31329641952348,79.31329641962348,79.39878142185236,79.39878142195236,79.48371060492033,79.48371060502033,79.56841746028394,79.56841746038394,79.6526796602388,79.6526796603388,79.73683069634149,79.73683069644149,79.82048149510935,79.82048149520935,79.90407671195112,79.90407671205112],[0.0,1e-10,0.7603607489331049,0.7603607490331049,1.4924858794116764,1.4924858795116764,2.188871831413348,2.188871831513348,2.7879338308286266,2.7879338309286266,3.3513678156191884,3.3513678157191884,3.8857880349899343,3.8857880350899343,4.414260988268879,4.414260988368879,4.941955794582541,4.941955794682541,5.420516178231227,5.420516178331227,5.886515046583212,5.886515046683212,6.348512016256602,6.348512016356602,6.803394499390266,6.803394499490266,7.253219027249595,7.253219027349595,7.697207452869306,7.697207452969306,8.13541535817549,8.13541535827549,8.572622788812025,8.572622788912025,9.008551835148454,9.008551835248454,9.426972574766028,9.426972574866028,9.845115404753145,9.845115404853145,10.259200754135573,10.259200754235573,10.66939536869159,10.66939536879159,11.078700672430141,11.078700672530141,11.472331873010862,11.472331873110862,11.861683265282528,11.861683265382528,12.248366725101798,12.248366725201798,12.623155652737465,12.623155652837465,12.997222015333941,12.997222015433941,13.356170094033503,13.356170094133503,13.71500700888088,13.71500700898088,14.06450616014487,14.06450616024487,14.412949254813118,14.412949254913118,14.7598360555508,14.7598360556508,15.105166562357919,15.105166562457919,15.446606334338625,15.446606334438625,15.7862674846844,15.7862674847844,16.124816996508343,16.12481699660834,16.460754157805983,16.46075415790598,16.793801058946855,16.793801059046853,17.11951114584364,17.119511145943637,17.433271118630728,17.433271118730726,17.74675318178736,17.746753181887357,18.056622419748035,18.056622419848033,18.365880256521706,18.365880256621704,18.6749713475171,18.6749713476171,18.976781206194495,18.976781206294493,19.271476578332166,19.271476578432164,19.5584460627431,19.5584460628431,19.842247377366817,19.842247377466816,20.125103799246975,20.125103799346974,20.405181124822555,20.405181124922553,20.684313557654576,20.684313557754574,20.963112498930048,20.963112499030046,21.240633055905413,21.24063305600541,21.51754221169377,21.517542211793767,21.79422903977776,21.79422903987776,22.06847026311372,22.06847026321372,22.33776469502753,22.33776469512753,22.604891431823766,22.604891431923765,22.870406292763345,22.870406292863343,23.135754407924647,23.135754408024646,23.399435065303205,23.399435065403203,23.662893394977395,23.662893395077393,23.924239611460102,23.9242396115601,24.185030008681895,24.185030008781894,24.44487551316013,24.44487551326013,24.70444310800791,24.70444310810791,24.962843482407763,24.96284348250776,25.220799201398886,25.220799201498885,25.476865134902894,25.476865135002893,25.729651734767494,25.729651734867492,25.978603181731778,25.978603181831776,26.2272767190656,26.227276719165598,26.475839092547243,26.47583909264724,26.724123556398425,26.724123556498423,26.971240799801684,26.971240799901683,27.21724640468311,27.217246404783108,27.461695715633972,27.46169571573397,27.702643365241066,27.702643365341064,27.94031168120875,27.94031168130875,28.175812302058866,28.175812302158864,28.408978482013133,28.40897848211313,28.6408106957412,28.6408106958412,28.871086615538704,28.871086615638703,29.329748669646598,29.329748669746596,29.556912001582972,29.55691200168297,30.00568047284656,30.00568047294656,30.22561815439103,30.225618154491027,30.440386716808973,30.44038671690897,30.65293200218326,30.652932002283258,30.86475472251835,30.864754722618347,31.286010140366596,31.286010140466594,31.494164453579643,31.49416445367964,31.700818054788215,31.700818054888213,31.90719374636633,31.90719374646633,32.11279129097917,32.11279129107917,32.31822208981372,32.318222089913725,32.52304148746127,32.52304148756127,32.72702715621745,32.727027156317455,32.930623751490984,32.930623751590986,33.132886380538324,33.132886380638325,33.335037845733474,33.335037845833476,33.536577909741624,33.536577909841625,33.73606144248438,33.73606144258438,33.934488918631395,33.9344889187314,34.132304993591404,34.132304993691406,34.33000990469923,34.33000990479923,34.52760365195487,34.52760365205487,34.723085286019035,34.72308528611904,34.91845575623101,34.918455756331014,35.10465520863787,35.104655208737874,35.28952069481854,35.289520694918544,35.473719197886105,35.47371919798611,35.654860695018634,35.654860695118636,35.835557536742435,35.83555753684244,36.015865304983585,36.01586530508359,36.3764252595398,36.3764252596398,36.55634395429832,36.55634395439832,36.734150535865346,36.73415053596535,36.911679207801924,36.911679207901926,37.08876322432977,37.08876322442977,37.26367954574003,37.263679545840034,37.43842912137203,37.43842912147203,37.61128891151691,37.61128891161691,37.78387079203133,37.78387079213133,37.95623034484139,37.95623034494139,38.12825640609489,38.12825640619489,38.29867059149174,38.298670591591744,38.46858453955377,38.46858453965377,38.63833174183752,38.63833174193752,38.80724521522989,38.80724521532989,38.97582519706572,38.97582519716572,39.143015630749254,39.143015630849256,39.30892768013268,39.308927680232685,39.47467298373784,39.47467298383784,39.64025154156472,39.640251541664725,39.80377356812621,39.80377356822621,39.967073266983334,39.967073267083336,40.1268157225706,40.1268157226706,40.2862802685274,40.2862802686274,40.44568923255812,40.44568923265812,40.604264467697455,40.60426446779746,40.762061555871504,40.762061555971506,40.91924724285855,40.919247242958555,41.07521012747159,41.075210127571594,41.23061719282371,41.23061719292371,41.38519052928445,41.38519052938445,41.539041300706,41.539041300806005,41.692614162497094,41.692614162597096,41.84529771347072,41.84529771357072,41.9950354223615,41.9950354224615,42.142827763839065,42.14282776393907,42.29011986798181,42.29011986808181,42.43730080827237,42.43730080837237,42.584092675080285,42.58409267518029,42.72877242869673,42.72877242879673,42.87083983178686,42.87083983188686,43.011073031315966,43.01107303141597,43.149527609210146,43.14952760931015,43.28687054858249,43.286870548682494,43.42287952172864,43.42287952182864,43.557498946722504,43.557498946822506,43.68972834889442,43.68972834899442,43.821902169140245,43.821902169240246,43.95352017012516,43.95352017022516,44.084471187996975,44.08447118809698,44.21392149386431,44.213921493964314,44.34326063587947,44.34326063597947,44.47254419596853,44.47254419606853,44.60138310064886,44.60138310074886,44.728054310211625,44.72805431031163,44.854558773996104,44.854558774096105,44.9803406727414,44.9803406728414,45.10517767874314,45.10517767884314,45.22973677511442,45.22973677521442,45.478021238965596,45.4780212390656,45.60130195103677,45.60130195113677,45.72402684384703,45.72402684394703,45.84575126198763,45.84575126208763,45.96625287775422,45.966252877854224,46.08586518270335,46.08586518280335,46.20536632380029,46.20536632390029,46.32470071911896,46.32470071921896,46.443979532511534,46.443979532611536,46.56025692189517,46.56025692199517,46.675255926978686,46.67525592707869,46.789810276653476,46.78981027675348,46.90303066010207,46.90303066020207,47.01613987969848,47.01613987979848,47.1291935173688,47.1291935174688,47.24046853340418,47.240468533504185,47.35046516513946,47.35046516523946,47.45996155953991,47.459961559639915,47.56940237201428,47.56940237211428,47.67789829174508,47.67789829184508,47.78583839221497,47.78583839231497,47.89199987104993,47.891999871149935,47.99766111255006,47.997661112650064,48.103044444419744,48.103044444519746,48.20770521125023,48.20770521135023,48.31197690459807,48.31197690469807,48.41497021364581,48.41497021374581,48.51657397454125,48.516573974641254,48.61806657158452,48.61806657168452,48.7187810216625,48.7187810217625,48.81777243203164,48.81777243213164,48.9166526785486,48.9166526786486,49.014643614248094,49.014643614348095,49.21001408446007,49.21001408456007,49.30717129126819,49.30717129136819,49.40366151496321,49.40366151506321,49.50004057480605,49.50004057490605,49.596086143092336,49.59608614319234,49.69102007285679,49.69102007295679,49.78550934721251,49.78550934731251,49.879387220381226,49.87938722048123,49.97298718391948,49.97298718401948,50.066253655901185,50.06625365600119,50.15863081706543,50.15863081716543,50.2508412324514,50.2508412325514,50.34294048398518,50.34294048408518,50.43498415359287,50.434984153692874,50.526694331644016,50.52669433174402,50.61829334584297,50.61829334594297,50.709003049224464,50.709003049324465,50.79904576949286,50.79904576959286,50.88864383435252,50.88864383445252,50.97813073536,50.97813073546,51.06728414481093,51.06728414491093,51.155603825370484,51.155603825470486,51.24364559629958,51.24364559639958,51.33129829374603,51.33129829384603,51.41811726230112,51.41811726240112,51.50476948507792,51.504769485177924,51.591143798224266,51.59114379832427,51.67646205477487,51.676462054874875,51.84665391246736,51.84665391256736,51.931138440126595,51.9311384402266,52.01545622200755,52.01545622210755,52.099218184627595,52.0992181847276,52.18281340146936,52.18281340156936,52.26618629060677,52.26618629070677],[0.0,1e-10,8.461403354702732,8.461403354802732,13.564935808433557,13.564935808533557,17.409926709672256,17.409926709772254,21.02636473082229,21.02636473092229,24.53608545387645,24.536085453976447,27.654175925689188,27.654175925789186,30.62280659824161,30.622806598341608,33.526406417266855,33.52640641736686,36.205010599473304,36.205010599573306,38.79107087473724,38.79107087483724,41.26140957987845,41.261409579978455,43.71423997830082,43.71423997840082,45.808678117284536,45.80867811738454,47.83352768480157,47.83352768490157,49.794458037313255,49.79445803741326,51.55879511723896,51.55879511733896,53.298787313536536,53.29878731363654,54.87092209303747,54.87092209313747,56.389531477712204,56.389531477812206,57.75923688238753,57.759236882487535,59.07436083564091,59.07436083574091,60.348743237069144,60.348743237169145,61.58438503601153,61.584385036111534,62.7850658034423,62.7850658035423,63.957233042788076,63.95723304288808,65.11678318491106,65.11678318501106,66.18784690069621,66.18784690079622,67.11606506642596,67.11606506652596,68.01243478850522,68.01243478860522,68.81998459269009,68.81998459279009,69.57867788384044,69.57867788394044,70.32447616813755,70.32447616823755,70.99295999324124,70.99295999334124,71.61825666177175,71.61825666187175,72.21087115776041,72.21087115786041,72.76530087052413,72.76530087062413,73.31756288817027,73.31756288827027,73.86598975291611,73.86598975301611,74.37439763087598,74.37439763097598,74.85651525779453,74.85651525789453,75.32929512112969,75.32929512122969,75.78895764990723,75.78895765000723,76.2451740992671,76.2451740993671,76.6845492250212,76.6845492251212,77.12297945803175,77.12297945813175,77.51244201415561,77.51244201425561,77.90140433294464,77.90140433304464,78.22728116561969,78.22728116571969,78.5408743926285,78.5408743927285,78.84412938138428,78.84412938148428,79.1239287973294,79.1239287974294,79.38655339811221,79.38655339821221,79.57219703125817,79.57219703135817,79.70309246720389,79.70309246730389,79.82226011674427,79.82226011684428,79.93670330256688,79.93670330266688,80.0477004089718,80.04770040907181,80.15469561669815,80.15469561679815,80.25918963775035,80.25918963785035,80.3528451832147,80.3528451833147,80.44600049134422,80.44600049144422],[0.0,1e-10,5.894018606605578,5.894018606705578,9.771247024977406,9.771247025077406,13.059140280999985,13.059140281099985,16.099916293619305,16.099916293719303,18.908471019027917,18.908471019127916,21.60675120307079,21.606751203170788,24.280464175781177,24.280464175881175,26.886645108290267,26.886645108390265,29.470648852288807,29.470648852388805,32.01630106728415,32.01630106738415,34.509928599457744,34.509928599557746,36.818134826189755,36.81813482628976,39.07231542076074,39.07231542086074,41.312934025365365,41.31293402546537,43.28470285346492,43.28470285356492,45.06521427388328,45.06521427398328,46.80520647018085,46.80520647028085,48.48539251400387,48.48539251410387,50.125114915632196,50.1251149157322,51.719426883643685,51.71942688374369,53.279778294813205,53.27977829491321,54.82901332076441,54.82901332086441,56.32199943751091,56.32199943761091,57.74228439492959,57.74228439502959,59.11198979960492,59.11198979970492,60.30939123339629,60.30939123349629,61.44103924862129,61.44103924872129,62.571464461472274,62.571464461572276,63.61190253598096,63.61190253608096,64.63927885785812,64.63927885795812,65.63430649874996,65.63430649884997,66.59737453213914,66.59737453223914,67.52976134232574,67.52976134242574,68.43791443273642,68.43791443283642,69.32011076366231,69.32011076376232,70.1851322794259,70.1851322795259,70.94388115250236,70.94388115260236,71.68767848746016,71.68767848756016,72.41463449881222,72.41463449891222,73.13275298391571,73.13275298401571,73.82741589620854,73.82741589630854,74.50518190296953,74.50518190306953,75.17588900511687,75.17588900521687,75.7965167918557,75.7965167919557,76.40297118744115,76.40297118754116,77.00664648672203,77.00664648682204,77.60415219220674,77.60415219230674,78.19487690270829,78.19487690280829,78.78165529645732,78.78165529655732,79.35537193757483,79.35537193767483,79.92397504149191,79.92397504159192,80.47251307008992,80.47251307018992,80.92161503291005,80.92161503301006,81.3706614138041,81.3706614139041,81.80909164681465,81.80909164691465,82.23812853431572,82.23812853441572,82.64437683211924,82.64437683221924,83.0324498400908,83.03244984019081,83.42002261072753,83.42002261082753,83.80503861276405,83.80503861286405,84.17816008261697,84.17816008271697,84.54639034297384,84.54639034307384,84.89611182194218,84.89611182204219,85.23416109643131,85.23416109653131,85.54981085470551,85.54981085480551,85.86045823963147,85.86045823973147,86.16371322838725,86.16371322848725,86.46546750513855,86.46546750523855,86.76427593980699,86.764275939907,87.05169007962667,87.05169007972667,87.33571372195475,87.33571372205475,87.59122383619784,87.59122383629784,87.81594156338619,87.81594156348619,88.03938090627442,88.03938090637442,88.25353806750536,88.25353806760536,88.46341542042725,88.46341542052726,88.66112033153507,88.66112033163508,88.8574912764167,88.8574912765167,89.04919333950663,89.04919333960663,89.24022841948347,89.24022841958347,89.42209248165518,89.42209248175519,89.58266866613383,89.58266866623383,89.7409659916427,89.7409659917427,89.89815167862974,89.89815167872975,90.05039057419465,90.05039057429465,90.20046177464197,90.20046177474197,90.3444745451453,90.3444745452453,90.48404076156132,90.48404076166132,90.61938275159437,90.61938275169437,90.75261262843594,90.75261262853594,90.88272991741637,90.88272991751637,90.99767334057381,90.99767334067381,91.11083814209631,91.11083814219631,91.22289130509698,91.22289130519698,91.33461097654109,91.33461097664109,91.42776628467061,91.42776628477061,91.5138626881865,91.51386268828651],[0.0,1e-10,3.8054165698614786,3.8054165699614786,7.441419428995757,7.441419429095757,10.019086833419856,10.019086833519856,12.404885428975748,12.404885429075748,14.77895623812631,14.77895623822631,17.136352469449395,17.136352469549394,19.372135446484055,19.372135446584053,21.492641508804734,21.492641508904732,23.32250967959243,23.322509679692427,25.027707590156663,25.02770759025666,26.486455240430736,26.486455240530734,27.94275728595678,27.94275728605678,29.341698783756293,29.34169878385629,30.711459770357713,30.71145977045771,32.07366161501068,32.07366161511068,33.38244922868961,33.38244922878961,34.608586518270336,34.60858651837034,35.79698368003486,35.796983680134865,36.98015614074678,36.98015614084678,38.10124359001437,38.10124359011437,39.210436507098365,39.21043650719837,40.2545429887291,40.2545429888291,41.27135874464885,41.27135874474885,42.283450036850816,42.28345003695082,43.252243008627424,43.252243008727426,44.21275427341639,44.21275427351639,45.17087551538341,45.17087551548341,46.122993909332536,46.12299390943254,46.99568573089677,46.99568573099677,47.847256420546195,47.8472564206462,48.67287035071084,48.67287035081084,49.48253226808719,49.48253226818719,50.24128114116364,50.24128114126364,50.980187266625386,50.98018726672539,51.70036228299426,51.700362283094265,52.40703089132288,52.407030891422885,53.05922921208173,53.059229212181734,53.695920175461026,53.69592017556103,54.257519956690565,54.25751995679057,54.793051814583144,54.793051814683146,55.3101860549394,55.3101860550394,55.81903858830801,55.81903858840801,56.305602769313886,56.30560276941389,56.78416315296257,56.78416315306257,57.2485501454579,57.2485501455579,57.69731861672149,57.69731861682149,58.13591559551031,58.135915595610314,58.57006602021181,58.57006602031181,58.99749103185623,58.99749103195623,59.41885761355665,59.418857613656655,59.84016861333099,59.84016861343099,60.24891809780863,60.24891809790863,60.646662360920125,60.64666236102013,61.04418429632726,61.04418429642726,61.43848248002108,61.43848248012108,61.81827378100499,61.81827378110499,62.194063183310305,62.19406318341031,62.564183229154274,62.564183229254276,62.93119068713712,62.93119068723712,63.29358484525436,63.29358484535436,63.646196584379474,63.646196584479476,63.989303814142936,63.98930381424294,64.3270751790016,64.3270751791016,64.66406839689498,64.66406839699498,64.99100128616577,64.99100128626577,65.31765626580611,65.31765626590611,65.64042051062003,65.64042051072003,65.96246219039477,65.96246219049478,66.28444828824342,66.28444828834343,66.60104293926118,66.60104293936118,66.90429792801696,66.90429792811696,67.20066075793737,67.20066075803737,67.4949670565924,67.4949670566924,67.7868277504994,67.7868277505994,68.07396398068862,68.07396398078862,68.36043322776473,68.36043322786473,68.64373430505361,68.64373430515361,68.91969856809843,68.91969856819843,69.18699205067293,69.18699205077293,69.45234016583423,69.45234016593423,69.71107403179064,69.71107403189065,69.96330481239433,69.96330481249433,70.20819877875392,70.20819877885393,70.45131412347858,70.45131412357858,70.68737056358961,70.68737056368961,70.92025883391342,70.92025883401342,71.15053475371093,71.15053475381093,71.375697136308,71.37569713640801,71.60019253579198,71.60019253589198,71.82007463541035,71.82007463551035,72.03906742421127,72.03906742431127,72.25600368174679,72.25600368184679,72.4696606056429,72.4696606057429,72.68320636568683,72.68320636578683,72.88769227177784,72.88769227187784,73.09151119475574,73.09151119485574,73.2908835636463,73.2908835637463,73.48847731090196,73.48847731100196,73.68429243652267,73.68429243662267,73.87982965251291,73.87982965261291,74.06769656270252,74.06769656280252,74.25550789096604,74.25550789106605,74.43787219047259,74.43787219057259,74.61762413945283,74.61762413955283,74.79670910531996,74.79670910541996,74.97023587857795,74.97023587867795,75.141984030201,75.141984030301,75.30989702892373,75.30989702902373,75.47564233252888,75.47564233262888,75.63955343257301,75.63955343267301,75.8024084760214,75.8024084761214,75.95870485219099,75.95870485229099,76.11344493443,76.11344493453001,76.26690663236892,76.26690663246892,76.41936785563817,76.41936785573817,76.56966138378986,76.56966138388987,76.71623092289342,76.71623092299342,76.86185556925341,76.86185556935341,77.0048678650871,77.00486786518711,77.1471575958816,77.1471575959816,77.28611241111061,77.28611241121061,77.42189905655239,77.42189905665239,77.55379496716776,77.55379496726776,77.68302294533073,77.68302294543074,77.80841577059338,77.80841577069339,77.93158531881237,77.93158531891237,78.05425462969653,78.05425462979653,78.17570113820668,78.17570113830668,78.29681415516028,78.29681415526028,78.4171490251486,78.4171490252486,78.53670574817163,78.53670574827163,78.65487292304238,78.65487292314238,78.76842679804751,78.76842679814752,78.8817027634222,78.8817027635222,78.99342243486632,78.99342243496632,79.10297441119286,79.10297441129286,79.21208173211068,79.21208173221068,79.32068881569367,79.32068881579367,79.42796193305045,79.42796193315046,79.53406782995933,79.53406783005933,79.639451161829,79.639451161929,79.74327819976811,79.74327819986812,79.84688291000286,79.84688291010286,79.94937598171578,79.94937598181578,80.05142439801995,80.05142439811995,80.15158302883701,80.15158302893701,80.2489625633495,80.2489625634495,80.3423401991834,80.3423401992834,80.43138244478213,80.43138244488213,80.52003561689824,80.52003561699824,80.60824413360561,80.60824413370561,80.69556333949552,80.69556333959552,80.78221556227233,80.78221556237233,80.86831196578821,80.86831196588821,80.95396371389538,80.95396371399538,81.03817033192415,81.03817033202415],[0.0,1e-10,1.464806080218059,1.464806080318059,2.7755390613101993,2.7755390614101993,4.035525743880708,4.035525743980708,5.275280605353873,5.275280605453873,6.413098214375043,6.413098214475043,7.543134353743387,7.543134353843387,8.523821857703599,8.523821857803599,9.467213889256348,9.467213889356348,10.386316619107065,10.386316619207065,11.276961402798884,11.276961402898884,12.139148240331801,12.139148240431801,12.968930814953318,12.968930815053318,13.779037387738406,13.779037387838406,14.570801924913264,14.570801925013264,15.330884764215911,15.330884764315911,16.084631263944114,16.084631264044113,16.805528845352185,16.805528845452184,17.518978448663976,17.518978448763974,18.219588627048612,18.21958862714861,18.919920895802786,18.919920895902784,19.584680731858338,19.584680731958336,20.2381018549912,20.238101855091198,20.877571914675073,20.87757191477507,21.510761216710595,21.510761216810593,22.137280687615124,22.137280687715123,22.758575457467042,22.75857545756704,23.373144814261877,23.373144814361876,23.981266667630088,23.981266667730086,24.58577569580234,24.58577569590234,25.184281875956703,25.1842818760567,25.77839708394983,25.77839708404983,26.3649531499945,26.364953150094497,26.94889686551286,26.94889686561286,27.526726569161145,27.526726569261143,28.0895491527647,28.0895491528647,28.647258199167826,28.647258199267824,29.200409527631443,29.20040952773144,29.735385566263105,29.735385566363103,30.241514585253224,30.241514585353222,30.744419852530033,30.74441985263003,31.239765977858383,31.23976597795838,31.733778136960535,31.733778137060533,32.22451096242328,32.22451096252328,32.71151979883789,32.71151979893789,33.19791723406549,33.197917234165494,33.66797358302217,33.66797358312217,34.13352779596542,34.13352779606542,34.58996657302965,34.58996657312965,35.04312601645447,35.043126016554474,35.48650304088718,35.48650304098718,35.92565583893692,35.92565583903692,36.36403049002138,36.36403049012138,36.799348135170796,36.7993481352708,37.23099737319817,37.23099737329817,37.64191455279338,37.64191455289338,38.0514421842363,38.0514421843363,38.45341067373076,38.45341067383076,38.841706009406685,38.84170600950669,39.22966785352606,39.22966785362606,39.61312756163202,39.61312756173202,39.996198196255335,39.99619819635534,40.36387263735128,40.36387263745128,40.72810099902954,40.728100999129545,41.087604896990015,41.08760489709002,41.44155060234133,41.44155060244133,41.79477374265346,41.79477374275346,42.14399498428699,42.14399498438699,42.48960340072457,42.48960340082457,42.82587405357875,42.82587405367875,43.15864304508917,43.15864304518917,43.489966906521204,43.489966906621206,43.819956801727045,43.81995680182705,44.1498355330807,44.1498355331807,44.47799122472551,44.47799122482551,44.804590622439754,44.804590622539756,45.126576720288405,45.12657672038841,45.44728443383694,45.44728443393694,45.767102836568014,45.767102836668016,46.086810075446905,46.08681007554691,46.40257099757329,46.402570997673294,46.71332954635144,46.71332954645144,47.021698072307636,47.02169807240764,47.329677524781204,47.329677524881205,47.63648975680684,47.63648975690684,47.940689638306175,47.94068963840618,48.547366361596005,48.54736636169601,48.848787146790755,48.84878714689076,49.141537151515216,49.14153715161522,49.43239737075257,49.43239737085257,49.722034787615904,49.722034787715906,50.004057480604686,50.00405748070469,50.28463504351509,50.28463504361509,50.56476795101676,50.564767951116764,50.84417829347924,50.84417829357924,51.11891975415003,51.11891975425003,51.39221608474243,51.39221608484243,51.65923165768648,51.659231657786485,52.18776019289152,52.18776019299152,52.44810593470458,52.44810593480458,52.70756236570017,52.70756236580017,52.96540692083911,52.96540692093911,53.217582119516706,53.21758211961671,53.4684233519681,53.4684233520681,53.717541544710656,53.71754154481066,53.958711522022114,53.958711522122115,54.19826962347692,54.19826962357692,54.43721632374471,54.43721632384471,54.67510696741677,54.67510696751677,54.91249737375399,54.912497373853995,55.149609870460765,55.14960987056077,55.384999327458694,55.384999327558695,55.6198885471218,55.619888547221805,55.853277054780435,55.85327705488044,56.08627648895643,56.08627648905643,56.31910917735414,56.319109177454145,56.54299317565111,56.542993175751114,56.76126339941283,56.761263399512835,56.97330844745229,56.97330844755229,57.18251881726108,57.18251881736108,57.38878334498701,57.38878334508701,57.5946587992303,57.594658799330304,57.79469815123397,57.794698151333975,57.99206957078525,57.99206957088525,58.18927424455825,58.18927424465825,58.38425564128759,58.38425564138759,58.57834772719946,58.57834772729946,58.77221748540696,58.772217485506964,58.96503118701873,58.96503118711873,59.156510922404294,59.156510922504296,59.347156928898485,59.34715692899849,59.53663571494476,59.53663571504476,59.72094538186451,59.72094538196451,59.903865500631966,59.90386550073197,60.08589630858196,60.08589630868196,60.26459220096646,60.26459220106646,60.442454364459586,60.44245436455959,60.61803766898295,60.61803766908295,60.79289840846713,60.79289840856713,60.96592494439028,60.96592494449028,61.13750635023506,61.13750635033506,61.30858751874501,61.30858751884501,61.47883495836358,61.47883495846358,61.64847099679515,61.64847099689515,61.81382722691766,61.81382722701766,61.97529272221376,61.97529272231376,62.131589098383344,62.131589098483346,62.28416148550479,62.28416148560479,62.43617805336532,62.43617805346532,62.58808345737366,62.588083457473665,62.7380434939688,62.738043494068805,62.88372372225489,62.883723722354894,63.02806998431478,63.028069984414785,63.17130460785284,63.17130460795284,63.314372485612616,63.31437248571262,63.45688454411148,63.45688454421148,63.59889636527552,63.59889636537552,63.88125254982086,63.88125254992086,64.02098551201514,64.02098551211515,64.15988474531805,64.15988474541805,64.29822815936005,64.29822815946005,64.43590459028894,64.43590459038894,64.57296962003083,64.57296962013083,64.70986790399445,64.70986790409445,64.84615478677105,64.84615478687105,64.98171910450847,64.98171910460847,65.11639411142842,65.11639411152842,65.24695605581759,65.2469560559176,65.37612845205447,65.37612845215448,65.50402246399125,65.50402246409125,65.63080483740619,65.63080483750619,65.75464136873828,65.75464136883828,65.87475391102222,65.87475391112223,65.99431063404526,65.99431063414526,66.11303362817692,66.11303362827692,66.23081172956503,66.23081172966504,66.34808959361831,66.34808959371831,66.46447814685412,66.46447814695412,66.69586570517346,66.69586570527346,66.80641815616966,66.80641815626966,66.91558105901355,66.91558105911355,67.0231320860008,67.0231320861008,67.13029403950542,67.13029403960542,67.23706691952738,67.23706691962738,67.34300607065796,67.34300607075797,67.44850056637982,67.44850056647982,67.55377273439731,67.55377273449731,67.65871141085826,67.65871141095826,67.76353892346702,67.76353892356703,67.86792178066705,67.86792178076705,68.076020511954,68.076020512054,68.17806892825818,68.17806892835819,68.28000618071019,68.28000618081019,68.48121275316178,68.48121275326179,68.57887019730472,68.57887019740473,68.67569391255628,68.67569391265629,68.77179506276867,68.77179506286868,68.86767388527669,68.86767388537669,68.9628857246716,68.9628857247716,69.05781965443605,69.05781965453605,69.15242009264395,69.15242009274395,69.24668703929531,69.24668703939531,69.34089840402058,69.34089840412058,69.43438720370665,69.43438720380665,69.5273757660579,69.5273757661579,69.61958618144386,69.61958618154387,69.71174101490374,69.71174101500374,69.80350677488097,69.80350677498097,69.89493904330166,69.89493904340166,69.98481501779177,69.98481501789178,70.0746354103558,70.0746354104558,70.16440022099374,70.16440022109374,70.25344246659249,70.25344246669249,70.34226238448686,70.34226238458686,70.43091555660297,70.43091555670297,70.51840150827114,70.51840150837114,70.60549838645669,70.60549838655669,70.69231735501177,70.69231735511177,70.77896957778857,70.77896957788857,70.86501039937838,70.86501039947838,70.95077331133771,70.95077331143771,71.0362027317405,71.0362027318405,71.12107633288238,71.12107633298238,71.20578318824597,71.20578318834598,71.28932282316165,71.28932282326166],[0.0,1e-10,15.084267758147476,15.084267758247476,24.64335857123324,24.643358571333238,33.57309523518381,33.57309523528381,41.24067752144629,41.24067752154629,48.763079816757504,48.763079816857505,56.090389551487206,56.09038955158721,61.5587617680833,61.5587617681833,66.0787395797784,66.0787395798784,70.20464153548406,70.20464153558406,73.24714058781221,73.24714058791221,76.26323822524687,76.26323822534687,79.13843568003931,79.13843568013931,81.3282524041962,81.32825240429621,83.50600785039124,83.50600785049124,85.61033957221926,85.61033957231926,87.26662538782288,87.26662538792289,88.6655668856224,88.6655668857224,90.03527229029773,90.03527229039773,90.79402116337418,90.79402116347418,91.3934722362721,91.3934722363721,91.75114193067155,91.75114193077155,92.05439691942733,92.05439691952733,92.2054685945443,92.2054685946443,92.30206998209151,92.30206998219151],[0.0,1e-10,10.578129846049181,10.578129846149182,19.643708737367618,19.643708737467616,27.165999868826656,27.165999868926654,34.62742879121539,34.62742879131539,42.023159876963845,42.02315987706385,49.053106307103484,49.053106307203485,55.3723822302359,55.3723822303359,61.20631677473646,61.20631677483646,66.87778534927126,66.87778534937127,72.34360079726714,72.34360079736715,75.08290044276562,75.08290044286562,77.77351032100786,77.77351032110786,80.35818104811949,80.35818104821949,82.4626795157258,82.4626795158258,83.99218295791448,83.99218295801448,85.23605088191842,85.23605088201842,86.31172789756918,86.31172789766919,87.2109878798052,87.2109878799052,87.95950967848079,87.95950967858079,88.7053079627779,88.7053079628779,89.3174317148247,89.31743171492471,89.89737353166447,89.89737353176447,90.39900041464116,90.39900041474117,90.88906625699082,90.88906625709082,91.3325544452757,91.3325544453757,91.63580943403149,91.63580943413149,91.84802122784922,91.84802122794922,92.0234377865943,92.0234377866943,92.19190660457795,92.19190660467795,92.32080109118438,92.32080109128438,92.43479962159824,92.43479962169825,92.5243976864579,92.5243976865579],[0.0,1e-10,0.5899465635362555,0.5899465636362555,1.1596613059751681,1.1596613060751682,1.6984169155810591,1.6984169156810591,2.1985986684793786,2.1985986685793786,2.69261082758153,2.69261082768153,3.1593878428987976,3.1593878429987976,3.612936359806264,3.612936359906264,4.040861608785502,4.040861608885502,4.455780687059304,4.455780687159304,4.8578047584798565,4.8578047585798565,5.250935721725752,5.250935721825752,5.631060514266213,5.631060514366213,6.010240414063117,6.010240414163117,6.3882530934120965,6.3882530935120965,6.766210190834985,6.766210190934985,7.140610044988011,7.140610045088011,7.5139538425452965,7.5139538426452965,7.883240159497895,7.883240159597895,8.241021017749532,8.241021017849532,8.598301638666346,8.598301638766346,8.955248768026609,8.955248768126609,9.30797167100391,9.30797167110391,9.659805263163745,9.659805263263745,10.004246459153398,10.004246459253398,10.34863207321696,10.34863207331696,10.680789663540368,10.680789663640368,11.00989024792874,11.00989024802874,11.338101521499645,11.338101521599645,11.663756026470336,11.663756026570336,11.98913262181057,11.98913262191057,12.311285465437491,12.311285465537491,12.632271088616488,12.632271088716488,12.946642462590585,12.946642462690585,13.260068943821125,13.260068943921125,13.571939131121098,13.571939131221098,13.880363239003394,13.880363239103394,14.18845385532914,14.18845385542914,14.483982956358183,14.483982956458183,14.772731062404052,14.772731062504052,15.058088670958332,15.058088671058332,15.342890460251697,15.342890460351697,15.622245220788084,15.622245220888084,15.895485969454397,15.895485969554397,16.165780876037854,16.165780876137852,16.435964618769127,16.435964618869125,16.70503672297857,16.705036723078567,16.967661323761384,16.967661323861382,17.228896376391912,17.22889637649191,17.489742355539796,17.489742355639795,17.75019926120504,17.75019926130504,18.010044765683276,18.010044765783274,18.267277919635205,18.267277919735204,18.524399909734953,18.52439990983495,18.779910023978044,18.779910024078042,19.035308974368952,19.03530897446895,19.28942954045975,19.28942954055975,19.54271637765918,19.542716377759177,19.793446446258393,19.79344644635839,20.03711761024397,20.03711761034397,20.279565971855536,20.279565971955535,20.519679892571254,20.519679892671252,20.756069824238832,20.75606982433883,20.990681134271483,20.99068113437148,21.22456987926494,21.22456987936494,21.4571246580322,21.457124658132198,21.689568272947277,21.689568273047275,21.91878813614904,21.918788136249038,22.145729140381047,22.145729140481045,22.37255898076087,22.37255898086087,22.598054854914498,22.598054855014496,22.821605361654917,22.821605361754916,23.04348841061259,23.043488410712587,23.2631481825266,23.263148182626598,23.482641208662333,23.48264120876233,23.699633048123943,23.69963304822394,23.91656930565946,23.91656930575946,24.132949743934066,24.132949744034065,24.349052272578213,24.34905227267821,24.563876416922252,24.56387641702225,24.777199849261816,24.777199849361814,24.990356535823107,24.990356535923105,25.41628083546305,25.416280835563047,25.628325883502505,25.628325883602503,25.83842556412876,25.838425564228757,26.047858261641913,26.04785826174191,26.254623026702667,26.254623026802665,26.460998718280784,26.460998718380782,26.664039494293405,26.664039494393403,26.863689772814435,26.863689772914434,27.063173305557193,27.06317330565719,27.259433086586636,27.259433086686634,27.453469590572418,27.453469590672416,27.64628329218418,27.646283292284178,27.83820768297848,27.83820768307848,28.029187181029222,28.02918718112922,28.21999993330169,28.219999933401688,28.40958988320014,28.40958988330014,28.59879075961595,28.59879075971595,28.78760256254912,28.78760256264912,28.976358783556197,28.976358783656195,29.163447546780528,29.163447546880526,29.348924434148202,29.3489244342482,29.53429015766369,29.53429015776369,29.717321440283335,29.717321440383333,29.900241559050794,29.900241559150793,30.082939350113886,30.082939350213884,30.265136903842155,30.265136903942153,30.445166762452853,30.44516676255285,30.62314008979816,30.623140089898158,30.799501541286812,30.79950154138681,30.97447344462317,30.97447344472317,31.148556037142065,31.148556037242063,31.32186048269568,31.321860482795678,31.492997233131717,31.492997233231716,31.663967237789485,31.663967237889484,31.832380473847035,31.832380473947033,31.999570907530572,31.99957090763057,32.16653901350974,32.16653901360974,32.33195082555835,32.33195082565835,32.49697356412431,32.49697356422431,32.66171839305982,32.66171839315982,32.82240574139064,32.82240574149064,32.98192586927353,32.98192586937353,33.13872248277794,33.138722482877945,33.29429629390833,33.29429629400833,33.44836939303425,33.44836939313425,33.60227574638189,33.602275746481894,33.75457022387288,33.754570223972884,33.906809119437774,33.906809119537776,34.05799195840693,34.05799195850693,34.20850781426299,34.20850781436299,34.35796761352331,34.35796761362331,34.507205085079256,34.50720508517926,34.655608827743826,34.65560882784383,34.80395698848231,34.803956988582314,34.952193985368616,34.95219398546862,35.100041908772276,35.10004190887228,35.247611922545474,35.247611922645476,35.39457053513167,35.39457053523167,35.540473091122124,35.540473091222125,35.686153319408206,35.68615331950821,35.83144447421165,35.83144447431165,36.121748874188086,36.12174887428809,36.26642862780452,36.266428627904524,36.41105279949487,36.41105279959487,36.55478766036775,36.55478766046775,36.69830019353627,36.69830019363627,36.84164598092651,36.84164598102651,36.98382454786882,36.98382454796882,37.12489147628931,37.12489147638931,37.26501351196623,37.26501351206623,37.404579728382245,37.40457972848225,37.54364570746343,37.543645707563435,37.68121097454014,37.681210974640145,37.817664603095025,37.81766460319503,37.95328450275853,37.95328450285853,38.088682074717674,38.088682074817676,38.22385731897245,38.22385731907245,38.35875465359676,38.358754653696764,38.49342966051671,38.49342966061671,38.627937921658386,38.62793792175839,38.75944475879111,38.759444758891114,38.89039577666293,38.89039577676293,39.02090213912601,39.02090213922601,39.15085268232817,39.15085268242817,39.28069206167815,39.280692061778154,39.41025353139767,39.41025353149767,39.539481509560645,39.53948150966065,39.79732606469958,39.797326064799584,40.05300292472095,40.05300292482095,40.17984088006199,40.17984088016199,40.306234179994284,40.306234180094286,40.432516316074405,40.43251631617441,40.55863170637625,40.55863170647625,40.684691514752,40.684691514852,40.809973176162465,40.80997317626247,40.933865289420645,40.93386528952065,41.05764623882664,41.057646238926644,41.181204860528275,41.18120486062828,41.30398533526462,41.30398533536462,41.42659906422269,41.426599064322694,41.54904604740249,41.54904604750249,41.671048375173555,41.67104837527356,41.79110533553141,41.791105335631414,41.90977274773698,41.90977274783698,42.02838457801646,42.02838457811646,42.14505104088273,42.14505104098273,42.26055028330108,42.26055028340108,42.37599394379333,42.375993943893334,42.491382022359495,42.4913820224595,42.6064921912952,42.606492191395205,42.72154677830482,42.72154677840482,42.83582321834915,42.83582321844915,42.9499884945413,42.9499884946413,43.06409818880736,43.06409818890736,43.17742973610813,43.17742973620813,43.28976080873926,43.28976080883926,43.39970185854845,43.39970185864845,43.50836452405753,43.50836452415753,43.616971607640515,43.61697160774052,43.72518961774086,43.72518961784086,43.83268506280202,43.83268506290202,43.939513524750076,43.93951352485008,44.04561942165894,44.04561942175894,44.151614154715624,44.151614154815626,44.256886322733116,44.25688632283312,44.361936163046245,44.36193616314625,44.466374602172365,44.46637460227237,44.56931232929401,44.56931232939401,44.67047143478072,44.670471434880724,44.771519376415256,44.77151937651526,44.87251173612369,44.87251173622369,44.97333735005386,44.97333735015386,45.07410738205793,45.07410738215793,45.17465508635764,45.17465508645764,45.275147208731255,45.27514720883126,45.375083511843954,45.375083511943956,45.47485306917838,45.47485306927838,45.57456704458671,45.57456704468671,45.77321684843809,45.77321684853809,45.87131894798977,45.87131894808977,45.96930988368926,45.969309883789265,46.06685616398002,46.06685616408002,46.164235698492504,46.164235698592506,46.261392905300625,46.261392905400626,46.3581610386261,46.3581610387261,46.4547624261733,46.454762426273305,46.55086357638569,46.55086357648569,46.64690914467197,46.646909144771975,46.742676803327804,46.742676803427806,46.934045374861185,46.93404537496119,47.02914605040392,47.02914605050392,47.12419114402055,47.12419114412055,47.219013909932826,47.21901391003283,47.313058528879814,47.313058528979816,47.40665849241807,47.40665849251807,47.49881332587795,47.49881332597795,47.590023266594265,47.59002326669427,47.681177625384485,47.68117762548449,47.77227640224862,47.77227640234862,47.86265261407357,47.86265261417357,47.95269533434196,47.95269533444196,48.04240456305381,48.04240456315381,48.132002627913465,48.13200262801347,48.22126720121658,48.22126720131658,48.399462856266254,48.399462856366256,48.48822719223454,48.48822719233454,48.576491290868,48.576491290968,48.663977242536184,48.663977242636186,48.75079621109126,48.750796211191265,48.837114942311516,48.83711494241152,48.923378091605684,48.923378091705686,49.008918675860656,49.00891867596066,49.17983309859233,49.179833098692335,49.26498460936467,49.26498460946467,49.34919122739344,49.34919122749344,49.43311993579176,49.43311993589176,49.5168818984118,49.516881898511805],[0.0,1e-10,3.46286515935894,3.46286515945894,6.503641171978261,6.503641172078261,9.261394016939148,9.261394017039148,11.959674200982022,11.959674201082022,14.554182929011876,14.554182929111876,17.138075509158234,17.138075509258233,19.33039341998926,19.33039342008926,21.51504102501965,21.515041025119647,23.592415512693243,23.59241551279324,25.35664142876676,25.35664142886676,27.09641129735997,27.09641129745997,28.82889993363518,28.82889993373518,30.471623759272454,30.471623759372452,32.0867789495683,32.0867789496683,33.681535572988516,33.68153557308852,35.233883186800846,35.23388318690085,36.7807837718562,36.7807837719562,38.180003179286174,38.180003179386176,39.531477712203454,39.531477712303456,40.826036352802944,40.826036352902946,42.00859741232785,42.008597412427854,43.18693424546979,43.186934245569795,44.320583210034094,44.320583210134096,45.45100842288508,45.45100842298508,46.57570869734863,46.57570869744863,47.673840811140394,47.673840811240396,48.663977242536184,48.663977242636186,49.640885175522165,49.64088517562217,50.553429238094076,50.55342923819408,51.44685311809047,51.446853118190475,52.33455205969943,52.334552059799435,53.214525113581665,53.21452511368167,54.09399793012907,54.09399793022907,54.93045033588158,54.93045033598158,55.73416498716613,55.73416498726613,56.51898178357954,56.51898178367954,57.26533588713757,57.26533588723757,57.97467242791858,57.97467242801858,58.670280232954966,58.67028023305497,59.35688376596452,59.35688376606452,60.02692388499877,60.026923885098775,60.671340736104796,60.6713407362048,61.308309609114545,61.30830960921455,61.94505615441993,61.94505615451993,62.57985733231211,62.57985733241211,63.1794751509883,63.179475151088305,63.77698085647302,63.77698085657302,64.37009558979649,64.3700955898965,64.95626258235852,64.95626258245852,65.54170700988135,65.54170700998135,66.11031011379843,66.11031011389844,66.65907047010081,66.65907047020082,67.19065601124089,67.19065601134089,67.70929096360162,67.70929096370162,68.2209225932748,68.22092259337481,68.70843166702424,68.70843166712424,69.17754312323736,69.17754312333736,69.61702941284365,69.61702941294365,70.0554596458542,70.0554596459542,70.47510318784579,70.47510318794579,70.89441323828083,70.89441323838084,71.28248624625239,71.28248624635239,71.66900296029338,71.66900296039339,72.03723322065024,72.03723322075024,72.40407393285481,72.40407393295482,72.76296642962828,72.76296642972828,73.1209140336582,73.1209140337582,73.46668919587404,73.46668919597404,73.8124087761638,73.81240877626381,74.1565164805969,74.15651648069691,74.49456575508603,74.49456575518603,74.83155897297941,74.83155897307941,75.1465417481405,75.14654174824051,75.45702238728819,75.4570223873882,75.7673918625837,75.7673918626837,76.07059126941338,76.07059126951339,76.36939970408183,76.36939970418183,76.65948177635389,76.65948177645389,76.94834104625194,76.94834104635194,77.22341599847928,77.22341599857928,77.4946002158802,77.4946002159802,77.76561768750285,77.76561768760286,78.03079905688588,78.03079905698588,78.28375240252876,78.28375240262876,78.52203211968344,78.52203211978345,78.74647193724134,78.74647193734134,78.96279679358985,78.96279679368985,79.1742304404423,79.1742304405423,79.38177335246834,79.38177335256835,79.588482535603,79.58848253570301,79.79485822718112,79.79485822728113,79.99445292377605,79.99445292387605,80.19082386865769,80.19082386875769,80.37296584045987,80.37296584055987,80.55344035447929,80.5534403545793,80.73252532034643,80.73252532044643,80.88971100733347,80.88971100743348,81.04194990289838,81.04194990299838,81.19052039134122,81.19052039144123,81.33108708242689,81.33108708252689,81.45981482325503,81.45981482335503,81.57898247279543,81.57898247289543,81.69209169239184,81.69209169249184,81.80386694576204,81.80386694586204,81.91497521601916,81.91497521611916,82.02574999471972,82.02574999481972,82.1297993603632,82.1297993604632,82.23156986703691,82.23156986713691,82.3288938196233,82.3288938197233,82.4242724047965,82.4242724048965,82.51803911411302,82.51803911421302,82.61008278372073,82.61008278382073,82.70129272443704,82.70129272453704,82.78944565921832,82.78944565931832,82.87715393859087,82.87715393869087,82.96325034210676,82.96325034220676],[0.0,1e-10,0.5126876862689298,0.5126876863689298,0.9538970155840605,0.9538970156840605,1.3842122873852372,1.3842122874852372,1.796963670541468,1.796963670641468,2.189872306082997,2.189872306182997,2.5549899785787256,2.5549899786787256,2.89670766018989,2.89670766028989,3.2331450588223523,3.2331450589223523,3.567859417745975,3.567859417845975,3.9017956297043153,3.9017956298043153,4.230173649053495,4.230173649153495,4.550214379488935,4.550214379588935,4.867476013619795,4.867476013719795,5.1785124720283955,5.1785124721283955,5.486269596797592,5.486269596897592,5.784855703761673,5.784855703861673,6.07943991204716,6.07943991214716,6.371189442101975,6.371189442201975,6.657158451843263,6.657158451943263,6.931899912514048,6.931899912614048,7.2059188081456425,7.2059188082456425,7.476658370137832,7.476658370237832,7.735948055355152,7.735948055455152,7.9950709947941965,7.9950709948941965,8.251692747559119,8.251692747659119,8.505257494389005,8.505257494489005,8.754320105205469,8.75432010530547,9.002938060613202,9.002938060713202,9.249443902829453,9.249443902929453,9.493893213780316,9.493893213880316,9.733117823678567,9.733117823778567,9.967895879489491,9.967895879589491,10.199172273956643,10.199172274056643,10.43022634071943,10.43022634081943,10.65788990999063,10.65788991009063,10.885108823853095,10.885108823953095,11.105268833101928,11.105268833201928,11.323650220715828,11.323650220815829,11.541809280625364,11.541809280725364,11.759746012830531,11.759746012930531,11.975292722213762,11.975292722313762,12.187448934105403,12.187448934205403,12.397548614731656,12.397548614831656,12.606925730318718,12.606925730418718,12.81491329775349,12.81491329785349,13.020955497775056,13.020955497875056,13.226441878535706,13.226441878635706,13.429871728030966,13.429871728130966,13.631133882408655,13.631133882508655,13.831895799451518,13.831895799551518,14.03160165989864,14.03160165999864,14.2297512264152,14.2297512265152,14.426400080927284,14.426400081027284,14.621937296917537,14.621937297017537,14.814417506972752,14.814417507072752,15.006508643545326,15.006508643645326,15.198377452413533,15.198377452513533,15.387522746903253,15.387522747003253,15.57627896791033,15.57627896801033,15.76403471424776,15.76403471434776,15.95117905939818,15.95117905949818,16.138101076844237,16.138101076944235,16.32463402080765,16.32463402090765,16.510110908175324,16.510110908275323,16.692808699238416,16.692808699338414,16.874561597557953,16.87456159765795,17.055425185060024,17.055425185160022,17.236233190636003,17.236233190736,17.416818868507615,17.416818868607614,17.59723780060095,17.59723780070095,17.777545568842108,17.777545568942106,17.956908444339703,17.9569084444397,18.13243616693698,18.13243616703698,18.30735248834725,18.307352488447247,18.482102063979244,18.482102064079243,18.65657372998078,18.65657373008078,18.830656322499674,18.830656322599673,19.003794022275013,19.00379402237501,19.175542173898062,19.17554217399806,19.347234743595017,19.347234743695015,19.516592872396124,19.516592872496123,19.685339600010227,19.685339600110225,19.852863525250314,19.852863525350312,20.019831631229483,20.01983163132948,20.18591042639119,20.185910426491187,20.35115549266152,20.351155492761517,20.51601148544921,20.516011485549207,20.680756314384713,20.68075631448471,20.845278815615853,20.84527881571585,21.008912006029526,21.008912006129524,21.16971051821253,21.169710518312527,21.330231120765074,21.330231120865072,21.490584977539342,21.49058497763934,21.650271851200515,21.650271851300513,21.809347323674675,21.809347323774674,21.965365790213802,21.9653657903138,22.121106347122467,22.121106347222465,22.27634666669631,22.276346666796307,22.430975585083146,22.430975585183145,22.58527101191343,22.58527101201343,22.739288529113256,22.739288529213255,22.8931948824609,22.8931948825609,23.04626750691717,23.04626750701717,23.19928454944735,23.199284549547347,23.352246010051434,23.352246010151433,23.50448490561633,23.50448490571633,23.656557055402953,23.65655705550295,23.80851804133739,23.808518041437388,23.959256224897814,23.959256224997812,24.109772080753867,24.109772080853865,24.26012119083165,24.26012119093165,24.410192391278972,24.41019239137897,24.559207535130557,24.559207535230556,24.70788918742559,24.707889187525588,24.85651525779453,24.85651525789453,25.003751780011182,25.00375178011118,25.150932720301743,25.15093272040174,25.297168767848746,25.297168767948744,25.589362953312293,25.58936295341229,25.735154345450564,25.735154345550562,25.880334336401827,25.880334336501825,26.025347581574813,26.02534758167481,26.169415934004245,26.169415934104244,26.312150320207476,26.312150320307474,26.454328887149792,26.45432888724979,26.596396290239927,26.596396290339925,26.73718530902995,26.73718530912995,26.87775200011561,26.877752000215608,27.017818453866447,27.017818453966445,27.297284378255018,27.297284378355016,27.43662826696666,27.43662826706666,27.575194008713023,27.57519400881302,27.713481840828926,27.713481840928925,27.85138059946219,27.851380599562187,27.98877912076063,27.988779120860627,28.124788093906776,28.124788094006774,28.260074502013733,28.26007450211373,28.39491625471196,28.394916254811957,28.664043940847492,28.66404394094749,28.798163128506523,28.79816312860652,28.93205998846119,28.93205998856119,29.065845684563676,29.065845684663675,29.199520216813976,29.199520216913974,29.33258334787727,29.33258334797727,29.465312987384014,29.465312987484012,29.5977647172603,29.5977647173603,29.729049226688662,29.72904922678866,29.86016699033875,29.86016699043875,29.991229172062745,29.991229172162743,30.122124608008466,30.122124608108464,30.252964462028096,30.252964462128094,30.383081751008532,30.38308175110853,30.511531582206224,30.511531582306223,30.639592339921276,30.639592340021274,30.767486351858047,30.767486351958045,30.895158036090457,30.895158036190455,31.02232948298804,31.02232948308804,31.14905627447689,31.14905627457689,31.275671902113558,31.275671902213556,31.402120783971952,31.40212078407195,31.52840292005207,31.528402920152068,31.654573892280006,31.654573892380004,31.780689282581847,31.780689282681845,31.906304435548865,31.906304435648863,32.031474933107155,32.03147493320716,32.15653426681325,32.156534266913255,32.40593036918627,32.405930369286274,32.52987806437054,32.529878064470545,32.65377017762872,32.653770177728724,32.7776067089608,32.777606709060805,32.9013876583668,32.9013876584668,33.024223715029244,33.024223715129246,33.146615116282945,33.14661511638295,33.390230698342435,33.39023069844244,33.51139929722213,33.51139929732213,33.632401150323545,33.63240115042355,33.753291839572775,33.75329183967278,33.87401578304373,33.87401578314373,34.11524134228128,34.11524134238128,34.2355762122696,34.2355762123696,34.35529968107091,34.35529968117091,34.47485640409394,34.47485640419394,34.59430196326479,34.59430196336479,34.713358448953,34.713358449053004,34.83235935271512,34.832359352815125,34.951193510698964,34.951193510798966,35.06974975905235,35.06974975915235,35.18813926162746,35.188139261727464,35.306417600350386,35.30641760045039,35.424418029442855,35.424418029542856,35.54230729468314,35.54230729478314,35.660085396071246,35.66008539617125,35.777418842050615,35.77741884215062,35.89452996032562,35.89452996042562,36.12786288605816,36.12786288615816,36.24375120195915,36.24375120205915,36.35930602630359,36.359306026403594,36.47480526872194,36.47480526882194,36.59008218343592,36.59008218353592,36.70491444274117,36.70491444284117,36.81957995626814,36.819579956368145,36.934189887869024,36.934189887969026,37.048688655617724,37.048688655717726,37.162631604105506,37.16263160420551,37.276296642962826,37.27629664306283,37.38990609989406,37.389906099994064,37.50334881104702,37.50334881114702,37.61618012101297,37.61618012111297,37.72867793942237,37.72867793952237,37.95339566661072,37.95339566671072,38.065559993463566,38.06555999356357,38.177668738390324,38.177668738490325,38.40121924513075,38.40121924523075,38.51249426116613,38.512494261266134,38.62287996638405,38.62287996648405,38.73321008967588,38.73321008977588,38.95375917240735,38.953759172507354,39.06364464029045,39.06364464039045,39.172918706986536,39.17291870708654,39.28197044597826,39.28197044607826,39.390911021117795,39.390911021217796,39.49924019507033,39.49924019517033,39.6066244762793,39.6066244763793,39.713564102079545,39.71356410217955,39.8203925640276,39.8203925641276,39.927165444049564,39.927165444149566,40.033771578293255,40.03377157839326,40.140266548684764,40.140266548784766,40.2459277901849,40.2459277902849,40.351311122054575,40.35131112215458,40.456194216589424,40.456194216689426,40.560743819567726,40.56074381966773,40.66457085750684,40.66457085760684,40.76834231351986,40.76834231361986,40.871669114124145,40.87166911422415,40.97488475087625,40.97488475097625,41.07804480570226,41.078044805802264,41.181149278602184,41.181149278702186,41.283586768389,41.283586768489,41.38580193047146,41.38580193057146,41.48712778173645,41.48712778183645,41.58823130529707,41.58823130539707,41.6892792469316,41.6892792470316,41.78999369700958,41.78999369710958,41.890652565161474,41.890652565261476,41.991200269461174,41.991200269561176,42.09130331835215,42.091303318452155,42.19107287568657,42.191072875786574,42.290675687242725,42.29067568734273,42.3901117530206,42.3901117531206,42.489214327241925,42.48921432734193,42.58820573761107,42.58820573771107,42.687030402201934,42.687030402301936,42.785632739088435,42.785632739188436,42.883456929009654,42.883456929109656,42.98122553700478,42.981225537104784,43.07877181729554,43.07877181739554,43.17615135180802,43.176151351908025,43.27319739476396,43.27319739486396,43.37002111001553,43.37002111011553,43.466789243341005,43.466789243441006,43.756815733686985,43.756815733786986,43.85302804775154,43.853028047851545,43.94912919796392,43.94912919806392,44.045063602398024,44.045063602498026,44.14094242490604,44.14094242500604,44.2364877558575,44.236487755957505,44.42752283583433,44.42752283593433,44.522845839081434,44.522845839181436,44.61800209655025,44.61800209665025,44.71288044438862,44.71288044448862,44.807592046448704,44.807592046548706,44.902025738878336,44.90202573897834,44.99595919397314,44.995959194073144,45.08978148521577,45.08978148531577,45.277203739996644,45.277203740096645,45.370692539682715,45.370692539782716,45.46384784781224,45.46384784791224,45.55600268127211,45.556002681372114,45.74025676626577,45.740256766365775,45.92412177777679,45.92412177787679,46.015831955827935,46.015831955927936,46.10731980617471,46.10731980627471,46.19858532881712,46.19858532891712,46.28962852375516,46.289628523855164,46.380338227136654,46.380338227236656,46.470936766665965,46.470936766765966,46.5613129784909,46.561312978590905,46.741898656362515,46.74189865646252,46.83138555737,46.83138555747,46.9207057125992,46.9207057126992,47.099290441131515,47.09929044123152,47.18833268673026,47.188332686830265,47.27715260462464,47.27715260472464,47.4547368584873,47.4547368585873,47.54339003060341,47.543390030703414,47.63170971116296,47.631709711262964,47.71991822787034,47.71991822797034,47.808015580725524,47.808015580825526,48.0721964754389,48.0721964755389,48.160127082515814,48.160127082615816,48.24766861611009,48.24766861621009,48.334765494295624,48.334765494395626,48.42175120862898,48.421751208728985,48.50851459525797,48.50851459535797,48.595055654182595,48.595055654282596,48.68148554925504,48.68148554935504,48.76769311662311,48.76769311672311,48.85351161050854,48.85351161060854,49.02509301635332,49.02509301645332,49.11063360060829,49.11063360070829,49.19567394752844,49.19567394762844,49.36569905944265,49.36569905954265,49.450239169027974,49.450239169127975,49.53450136898284,49.53450136908284,49.61859682315943,49.61859682325943,49.702581113483845,49.70258111358385,49.78617633032561,49.78617633042561,49.953311182083056,49.95331118218306],[0.0,1e-10,0.9693487910375256,0.9693487911375256,1.7242625112136536,1.7242625113136536,2.417647039206379,2.417647039306379,3.0525037990246484,3.0525037991246484,3.671853201463361,3.671853201563361,4.2903132930846075,4.2903132931846075,4.873089788155047,4.873089788255047,5.453754170034005,5.453754170134005,6.033584823021589,6.033584823121589,6.592850163355281,6.592850163455281,7.116487489064256,7.116487489164256,7.621060214123812,7.621060214223812,8.120574983909032,8.120574984009032,8.595633706213949,8.595633706313949,9.055963218104589,9.055963218204589,9.515848074586499,9.515848074686499,9.963782816958712,9.963782817058712,10.383315195098119,10.383315195198119,10.794176792767235,10.794176792867235,11.182194218812704,11.182194218912704,11.568488605149332,11.568488605249332,11.934551170388618,11.934551170488618,12.294833215314377,12.294833215414377,12.653725712087846,12.653725712187846,13.003224863351834,13.003224863451834,13.338439459610282,13.338439459710282,13.671319614972882,13.671319615072882,14.002587894478825,14.002587894578825,14.322684206840357,14.322684206940357,14.640557242158224,14.640557242258224,14.954150469167038,14.954150469267038,15.261852012010143,15.261852012110143,15.562494650239614,15.562494650339614,15.86124750298197,15.86124750308197,16.156554276306647,16.156554276406645,16.4434125968654,16.4434125969654,16.72893695119796,16.728936951297957,17.006624253951596,17.006624254051594,17.280365239952733,17.28036524005273,17.552272022392845,17.552272022492843,17.82245576512412,17.822455765224117,18.090527394663912,18.09052739476391,18.35737622182969,18.357376221929687,18.621056879208247,18.621056879308245,18.88251425954314,18.882514259643138,19.140358814682077,19.140358814782076,19.393645651881503,19.3936456519815,19.64281942655015,19.64281942665015,19.891215054253518,19.891215054353516,20.138943698843786,20.138943698943784,20.38600536032095,20.38600536042095,20.63034350741963,20.63034350751963,20.872791869031197,20.872791869131195,21.11246113433818,21.112461134438178,21.35096317919724,21.35096317929724,21.583907031447144,21.58390703154714,21.81290456694454,21.812904567044537,22.038733932654715,22.038733932754713,22.260450235834114,22.260450235934112,22.47905395115238,22.47905395125238,22.69571229905744,22.69571229915744,22.912315065036413,22.91231506513641,23.128084102124006,23.128084102224005,23.342241263354946,23.342241263454945,23.555008876433597,23.555008876533595,23.762218296903086,23.762218297003084,23.967426768033278,23.967426768133276,24.17163476449382,24.17163476459382,24.374453212802074,24.374453212902072,24.576882587627686,24.576882587727685,24.774420752957237,24.774420753057235,24.971847754434602,24.9718477545346,25.16894126435542,25.16894126445542,25.363422423749935,25.363422423849933,25.556347289213882,25.55634728931388,25.746715386077618,25.746715386177616,25.93458229626723,25.93458229636723,26.120281511339268,26.120281511439266,26.305813980633033,26.30581398073303,26.49012364755278,26.49012364765278,26.673432839802885,26.673432839902883,26.854796664639778,26.854796664739776,27.0353267605853,27.035326760685297,27.21485638186117,27.21485638196117,27.392829709206477,27.392829709306476,27.57058070884742,27.570580708947418,27.747553561523077,27.747553561623075,27.92252546485944,27.92252546495944,28.097386204343618,28.097386204443616,28.27141321493642,28.271413215036418,28.445106733972672,28.44510673407267,28.61641023018699,28.616410230286988,28.786991161362113,28.78699116146211,28.95457066852829,28.95457066862829,29.12048271791172,29.12048271801172,29.28633918536906,29.286339185469057,29.45163983356548,29.451639833665478,29.6136611481225,29.613661148222498,29.77268103867057,29.772681038770568,29.930922782253358,29.930922782353356,30.088886616205688,30.088886616305686,30.244960664670906,30.244960664770904,30.400756803505665,30.400756803605663,30.555997123079507,30.555997123179505,30.71101511494898,30.71101511504898,30.865977524892365,30.865977524992363,31.17551327129649,31.17551327139649,31.329975443905052,31.32997544400505,31.476767310712972,31.47676731081297,31.622002883590326,31.622002883690325,31.76690496491113,31.76690496501113,31.910195170375278,31.910195170475276,32.053096302356785,32.05309630245679,32.19483021389037,32.19483021399037,32.33606388808913,32.33606388818913,32.477186398435705,32.47718639853571,32.61730843411263,32.61730843421263,32.75559626622853,32.75559626632853,32.89249455019215,32.89249455029215,33.028781432968756,33.02878143306876,33.16295620255388,33.16295620265388,33.29546351435626,33.29546351445626,33.427915244232544,33.427915244332546,33.55953324521745,33.55953324531745,33.82171319059154,33.82171319069154,33.95160815186761,33.95160815196761,34.08144753121759,34.08144753131759,34.210675509380565,34.210675509480566,34.3394588321348,34.339458832234804,34.466574697106296,34.4665746972063,34.59124495732976,34.59124495742976,34.71563730792276,34.715637308022764,34.838251036880834,34.838251036980836,34.95886381649961,34.95886381659961,35.07942101419229,35.07942101429229,35.19958913840233,35.19958913850233,35.31920144335146,35.31920144345146,35.4387025844484,35.4387025845484,35.557925815914885,35.55792581601489,35.676704391972635,35.67670439207264,35.794315747582466,35.79431574768247,35.91048197311391,35.91048197321391,36.02625912516272,36.02625912526272,36.141258130246236,36.14125813034624,36.2560348076254,36.2560348077254,36.3705335753741,36.3705335754741,36.4849767611967,36.4849767612967,36.599364365093216,36.59936436519322,36.71341847743318,36.71341847753318,36.82708351629051,36.82708351639051,36.93974808047818,36.939748080578184,37.052245898887584,37.052245898987586,37.164688135370895,37.1646881354709,37.27657455259329,37.27657455269329,37.387738404776485,37.38773840487649,37.49845760155096,37.49845760165096,37.608787724842784,37.608787724942786,37.71806179153887,37.718061791638874,37.827113530530596,37.8271135306306,37.93605410567014,37.93605410577014,38.04410536999221,38.04410537009221,38.151378487349,38.151378487449,38.258206949297055,38.25820694939706,38.364757501614655,38.36475750171466,38.4710301443018,38.4710301444018,38.57669138580193,38.57669138590193,38.682241463449884,38.682241463549886,38.78690223028037,38.78690223038037,38.89067368629338,38.890673686393384,38.99433397845422,38.994333978554224,39.09788310676287,39.097883106862874,39.201098743514976,39.20109874361498,39.30414763448881,39.30414763458881,39.407029779684365,39.40702977978437,39.5086891225059,39.5086891226059,39.709228711844396,39.7092287119444,39.807664302952624,39.807664303052626,39.90543291094775,39.905432911047754,40.00314593701678,40.003145937116784,40.10080338115973,40.10080338125973,40.19790500604176,40.19790500614176,40.2948954670716,40.2948954671716,40.39166360039708,40.39166360049708,40.488209406018186,40.48820940611819,40.58419939237839,40.58419939247839,40.67985588718203,40.67985588728203,40.774511907316025,40.77451190741603,40.86894559974566,40.86894559984566,40.96315696447092,40.96315696457092,41.057201583417914,41.057201583517916,41.15119062043881,41.15119062053881,41.24512407553362,41.24512407563362,41.33883520292405,41.338835203024054,41.4324907483884,41.432490748488405,41.526035130000565,41.52603513010057,41.61930160198227,41.619301602082274,41.71251249203789,41.71251249213789,41.80538989053696,41.80538989063696,41.89754472399683,41.89754472409683,41.98958839360452,41.98958839370452,42.08140973550785,42.08140973560785,42.17273084007635,42.17273084017635,42.263829616940484,42.263829617040486,42.35459490224807,42.35459490234807,42.445082277925195,42.4450822780252,42.53518058011968,42.53518058021968,42.62522330038807,42.625223300488074,42.71515485680428,42.715154856904284,42.80486408551613,42.80486408561613,42.89451773230188,42.89451773240188,43.073380370464655,43.07338037056466,43.162367034137304,43.162367034237306,43.251075788179506,43.25107578827951,43.33972896029561,43.33972896039561,43.42810422278125,43.42810422288125,43.51592366600598,43.515923666105984,43.60368752730462,43.603687527404624,43.690951151268436,43.69095115136844,43.77804802945398,43.77804802955398,43.86503374378733,43.86503374388733,43.95151922078586,43.951519220885864,44.03778237008002,44.037782370180025,44.1239899374481,44.1239899375481,44.21014192289008,44.21014192299008,44.296015998701606,44.29601599880161,44.38155658295658,44.38155658305658,44.46693042143328,44.466930421533284,44.55163727679688,44.551637276896884,44.63612180445612,44.63612180455612,44.720550750189254,44.720550750289256,44.804868532070216,44.80486853217022,44.88896398624681,44.88896398634681,44.97300385849731,44.97300385859731,45.056932566895625,45.05693256699563,45.14069452951567,45.14069452961567,45.224400910209624,45.224400910309626],[0.0,1e-10,4.756089833732227,4.756089833832227,9.465324103769232,9.465324103869232,14.106470514344029,14.106470514444029,18.0919169428162,18.0919169429162,21.822853731714936,21.822853731814934,25.461024285966786,25.461024286066785,28.501800298586108,28.501800298686106,31.24210041875423,31.24210041885423,33.91581339146462,33.91581339156462,36.45134969591128,36.451349696011285,38.970711659865295,38.970711659965296,41.21133026446992,41.21133026456992,43.350845345513925,43.350845345613926,45.115071261587445,45.11507126168745,46.79720267282366,46.79720267292366,48.16690807749899,48.16690807759899,49.38354085771805,49.383540857818055,50.51396607056903,50.513966070669035,51.60025923410329,51.60025923420329,52.62774671983263,52.62774671993263,53.61076866468869,53.610768664788694,54.58256306047425,54.58256306057425,55.552467670772685,55.55246767087269,56.51553570416186,56.515535704261865,57.47004412093293,57.470044121032934,58.422496006438614,58.422496006538616,59.30469233736451,59.30469233746451,60.09451150712616,60.09451150722616,60.8533159621287,60.8533159622287,61.59300023455573,61.59300023465573,62.31767738693802,62.317677387038025,62.98660586745044,62.986605867550445,63.62335241275583,63.62335241285583,64.2364210575462,64.2364210576462,64.84843364574081,64.84843364584081,65.44593935122552,65.44593935132552,66.02571442228702,66.02571442238703,66.594261944278,66.594261944378,67.15652870862064,67.15652870872064,67.6055195075886,67.6055195076886,68.05106422713888,68.05106422723888,68.48949446014943,68.48949446024943,68.87762305004708,68.87762305014708,69.24446376225164,69.24446376235164,69.60335625902512,69.60335625912512,69.9290107639958,69.9290107640958,70.23521159483444,70.23521159493444,70.53841100166412,70.53841100176412,70.82165649702692,70.82165649712692,71.03553574862741,71.03553574872741,71.23135087424812,71.23135087434812,71.41349284605029,71.41349284615029,71.57067853303734,71.57067853313734,71.72063856963248,71.72063856973249,71.86120526071814,71.86120526081814,72.00038240365151,72.00038240375152,72.1195500531919,72.1195500532919,72.23810630154529,72.23810630164529,72.34888108024585,72.34888108034585,72.45293044588932,72.45293044598932,72.54741972024505,72.54741972034505,72.64135317533986,72.64135317543986,72.72744957885574,72.72744957895574,72.81121154147579,72.81121154157579],[0.0,1e-10,2.738799408163651,2.738799408263651,5.098307752678215,5.098307752778215,7.433248885860292,7.433248885960292,9.186636326345944,9.186636326445944,10.898281740336804,10.898281740436804,12.606147583353435,12.606147583453435,14.298228159360052,14.298228159460052,15.824619013687606,15.824619013787606,17.310546225820474,17.310546225920472,18.680251630495803,18.6802516305958,20.046566537679542,20.04656653777954,21.372640130372965,21.372640130472963,22.697713248396738,22.697713248496736,24.017450501515718,24.017450501615716,25.202679493493022,25.20267949359302,26.352780708180436,26.352780708280434,27.464530393864646,27.464530393964644,28.55221310555119,28.552213105651187,29.520894913475615,29.520894913575614,30.478071262699082,30.47807126279908,31.434525046883355,31.434525046983353,32.3779726603622,32.3779726604622,33.31074854403145,33.31074854413145,34.153481707432306,34.15348170753231,34.992546463711115,34.99254646381112,35.82466347922848,35.82466347932848,36.65500187311091,36.655001873210914,37.48189418757566,37.481894187675664,38.28555325693412,38.285553257034124,38.941642312519384,38.941642312619386,39.581001208351076,39.58100120845108,40.209243718964444,40.209243719064446,40.82948243222062,40.829482432320624,41.44255107701098,41.442551077110984,42.0420021499089,42.042002150008905,42.62149931133994,42.62149931143994,43.19193661881804,43.19193661891804,43.76053972273512,43.76053972283512,44.30813285858957,44.308132858689575,44.846832886269375,44.84683288636938,45.37764028044417,45.37764028054417,45.896164068952714,45.896164069052716,46.41418762012644,46.41418762022644,46.92192851497322,46.92192851507322,47.41582951022318,47.415829510323185,47.868377552461,47.868377552561,48.306474293915,48.306474294015004,48.737067475346635,48.737067475446636,49.16304735691267,49.16304735701267,49.561069529654624,49.561069529754626,49.948142062956535,49.94814206305654,50.31587208597857,50.31587208607857,50.675098074308586,50.67509807440859,51.022874185863735,51.02287418596374,51.34096954888597,51.340969548985974,51.647003633946326,51.64700363404633,51.9502586227021,51.9502586228021,52.24906705737055,52.249067057470555,52.54176148016892,52.541761480268924,52.82995376695388,52.82995376705388,53.11781256218228,53.11781256228228,53.39989083709715,53.399890837197155,53.674799043546216,53.67479904364622,53.93281034446343,53.93281034456343,54.18187295527989,54.181872955379895,54.42070849169551,54.42070849179551,54.65737633299354,54.657376333093545,54.872645132746314,54.872645132846316,55.08607972893806,55.08607972903806,55.282228346115325,55.28222834621533,55.47487530194881,55.474875302048815,55.655460979820425,55.65546097992043,55.821317447277764,55.821317447377766,55.985228547321896,55.9852285474219,56.135188583917035,56.13518858401704,56.27842320745509,56.27842320755509,56.4173780226841,56.4173780227841,56.552053029604046,56.55205302970405,56.673054882705465,56.67305488280547,56.79316742498941,56.793167425089415,56.912779729938535,56.91277973003854,57.02105332196498,57.02105332206498,57.12777062006085,57.12777062016085,57.234043262747996,57.234043262848,57.338203792243654,57.338203792343656,57.44025220854783,57.440252208647834,57.53857663580388,57.53857663590388,57.63595617031636,57.635956170416364,57.725331907471656,57.72533190757166,57.812262039878924,57.812262039978926,57.895690510942416,57.89569051104242],[0.0,1e-10,2.4951282441780713,2.4951282442780713,4.944790472813213,4.944790472913213,7.3343686393433325,7.3343686394433325,9.58810457850558,9.58810457860558,11.770695652270577,11.770695652370577,13.910210733314583,13.910210733414583,16.04450111330598,16.04450111340598,18.126266573140814,18.126266573240812,20.094867231453144,20.094867231553142,21.91778766147939,21.91778766157939,23.696242550632356,23.696242550732354,25.418226202876255,25.418226202976253,27.086239804885206,27.086239804985205,28.669101896121827,28.669101896221825,30.179763065365456,30.179763065465455,31.574758246412465,31.574758246512463,32.944519233013885,32.94451923311389,34.29593818400508,34.29593818410508,35.59322033898305,35.593220339083054,36.853095857701376,36.85309585780138,38.069784219846525,38.06978421994653,39.23278044138719,39.23278044148719,40.36320565423818,40.36320565433818,41.44949881777243,41.44949881787243,42.48982572842893,42.489825728528935,43.529152164415784,43.529152164515786,44.54374464329187,44.543744643391875,45.50736849594196,45.50736849604196,46.470325365478956,46.47032536557896,47.37086373201508,47.37086373211508,48.269512313064084,48.269512313164086,49.15987918712545,49.15987918722545,50.02851352808499,50.028513528184995,50.88542008263921,50.88542008273921,51.70441976359895,51.70441976369895,52.497685012778284,52.497685012878286,53.27661012502598,53.276610125125984,54.04853191458614,54.048531914686144,54.81089361285854,54.810893612958544,55.56969806786108,55.569698067961085,56.31972057854115,56.31972057864115,57.0685202868472,57.068520286947205,57.81348484225293,57.813484842352935,58.55300236890169,58.55300236900169,59.28501633552808,59.28501633562808,60.008248357831995,60.008248357932,60.7189744467653,60.7189744468653,61.3688383266283,61.3688383267283,61.97540388606595,61.97540388616595,62.56963025791126,62.56963025801126,63.15524143121237,63.15524143131237,63.73134809515181,63.73134809525181,64.28349894894578,64.28349894904578,64.80730302043303,64.80730302053303,65.32588239086766,65.32588239096766,65.8153924139564,65.8153924140564,66.265383687594,66.265383687694,66.70381392060456,66.70381392070456,67.12595864927026,67.12595864937026,67.54549102740967,67.54549102750967,67.93361961730733,67.93361961740733,68.31713490733937,68.31713490743937,68.67480460173883,68.67480460183883,69.02474840841154,69.02474840851154,69.37402523197117,69.37402523207118,69.71968923033484,69.71968923043484,70.06212947698519,70.0621294770852,70.40101248036568,70.40101248046568,70.73795011633297,70.73795011643297,71.06788442961272,71.06788442971272,71.39526197429225,71.39526197439226,71.72191695393259,71.7219169540326,72.04573725534226,72.04573725544226,72.36072003050336,72.36072003060336,72.67053368653795,72.67053368663795,72.97484473188946,72.97484473198946,73.27804413871915,73.27804413881915,73.5768525733876,73.5768525734876,73.85837502904155,73.85837502914156,74.13889701002587,74.13889701012587,74.41914108137972,74.41914108147972,74.68821318558916,74.68821318568916,74.94811427199349,74.94811427209349,75.20657022831944,75.20657022841944,75.46447036538447,75.46447036548447,75.7018051897956,75.70180518989561,75.93791721183273,75.93791721193273,76.17213944838274,76.17213944848274,76.37895979536958,76.37895979546958,76.58527990502161,76.58527990512161,76.78570833050792,76.78570833060792,76.974464551515,76.974464551615,77.16227587977852,77.16227587987852,77.34525158047207,77.34525158057207,77.52728238842207,77.52728238852207,77.70008659664084,77.70008659674085,77.85288131146666,77.85288131156666,77.9949487145568,77.9949487146568,78.12423227464586,78.12423227474586,78.252960015474,78.252960015574,78.37718562028874,78.37718562038874,78.49629768790304,78.49629768800304,78.60696130275142,78.60696130285142,78.71373418277338,78.71373418287338,78.81850611345605,78.81850611355605,78.92166616828206,78.92166616838206,79.02271410991659,79.0227141100166,79.12248366725102,79.12248366735102,79.21802899820248,79.21802899830249,79.3125738544843,79.3125738545843,79.40628498187473,79.40628498197474,79.49593862866048,79.49593862876048,79.58403598151567,79.58403598161567,79.67152193318385,79.67152193328386],[0.0,1e-10,2.655037445543608,2.655037445643608,5.207303909743845,5.207303909843845,7.037616735940274,7.037616736040274,8.812125308340734,8.812125308440734,10.579019156866647,10.579019156966647,12.212905456255356,12.212905456355356,13.769421714524558,13.769421714624558,15.24056413431706,15.24056413441706,16.69047425834257,16.690474258442567,18.083746399680738,18.083746399780736,19.470404291814006,19.470404291914004,20.84027644226761,20.840276442367607,22.140004201993612,22.14000420209361,23.374701108192443,23.37470110829244,24.507460761939274,24.507460762039273,25.636996663972795,25.636996664072793,26.73018198634241,26.730181986442407,27.823144981007655,27.823144981107653,28.842295177823257,28.842295177923255,29.857943713295086,29.857943713395084,30.87275851987554,30.872758519975537,31.87584554005067,31.875845540150667,32.872985294134,32.872985294234,33.8583416798859,33.858341679985905,34.76760640881841,34.76760640891841,35.66981223313728,35.66981223323728,36.56484798899033,36.56484798909033,37.3810129917194,37.381012991819404,38.172777528894265,38.17277752899427,38.93236013086209,38.93236013096209,39.68193798613342,39.68193798623342,40.34291825121474,40.34291825131474,40.984055768681365,40.98405576878137,41.60996383839888,41.609963838498885,42.22208759044569,42.22208759054569,42.831265500409636,42.83126550050964,43.440221082669225,43.44022108276923,44.04272916150218,44.04272916160218,44.579428239842684,44.579428239942686,45.08828077321129,45.08828077331129,45.57356656991706,45.573566570017064,46.02844905305073,46.02844905315073,46.46826883421357,46.46826883431357,46.89663873860154,46.89663873870154,47.30049701358311,47.30049701368311,47.692182846750626,47.69218284685063,48.082034476357116,48.08203447645712,48.444317470622174,48.444317470722176,48.772695489971355,48.77269549007136,49.05844217200828,49.05844217210828,49.34135417581452,49.341354175914525,49.6122049016589,49.6122049017589,49.862657060627654,49.862657060727656,50.1052165860914,50.1052165861914,50.332991319214784,50.332991319314786,50.51174279352537,50.51174279362537,50.683880018631065,50.68388001873107,50.85390513054527,50.85390513064527,51.01953927029824,51.01953927039824,51.17683612113747,51.17683612123747,51.32851919744145,51.32851919754145,51.45619088167386,51.456190881773864,51.58130579730606,51.58130579740606,51.694748508459014,51.694748508559016,51.80585677871613,51.80585677881613,51.90190234700241,51.901902347102414],[0.0,1e-10,8.682063601286387,8.682063601386387,13.525361477056336,13.525361477156336,17.68672470160843,17.686724701708428,21.41755032665498,21.417550326754977,25.140816809753073,25.14081680985307,28.71567955018659,28.715679550286588,31.86511822831499,31.86511822841499,34.9052828397473,34.9052828398473,37.755968665133345,37.75596866523335,40.57469488301672,40.57469488311672,43.24924158461848,43.24924158471848,45.78488905291733,45.78488905301733,48.28535316200019,48.28535316210019,50.651809247276205,50.65180924737621,52.934003132597354,52.934003132697356,54.9766389164637,54.9766389165637,56.917948849065056,56.91794884916506,58.81412625768003,58.81412625778003,60.58313221939743,60.58313221949743,62.277436072447706,62.27743607254771,63.94667247683068,63.94667247693068,65.39663818278227,65.39663818288227,66.77373598362779,66.77373598372779,68.14344138830312,68.14344138840312,69.50697719918227,69.50697719928228,70.77563466222308,70.77563466232309,71.89372068748173,71.89372068758173,72.92137491898934,72.92137491908935,73.89111278350951,73.89111278360951,74.7845366635059,74.7845366636059,75.54334111850845,75.54334111860845,76.29397503037552,76.29397503047552,77.03654956295931,77.03654956305931,77.75911460215013,77.75911460225014,78.39247064996393,78.39247065006393,78.97924904371297,78.97924904381297,79.49877330689115,79.49877330699115,79.99689852852408,79.99689852862409,80.46967839185925,80.46967839195925,80.92294899913625,80.92294899923625,81.3613792321468,81.3613792322468,81.7796888079122,81.7796888080122,82.16470480994872,82.16470481004872,82.54788660842422,82.54788660852422,82.91739525308118,82.91739525318118,83.28562551343805,83.28562551353805,83.62228523977487,83.62228523987487,83.95377584698518,83.95377584708518,84.28293201329964,84.28293201339964,84.5882435333208,84.58824353342081,84.89316597985933,84.89316597995933,85.19642096861512,85.19642096871512,85.47799900619516,85.47799900629516,85.74823833085253,85.74823833095253,86.00825058110904,86.00825058120904,86.26620630010017,86.26620630020017,86.51927080959521,86.51927080969521,86.76733294574204,86.76733294584204,87.00655755564028,87.00655755574029,87.24483727279498,87.24483727289498,87.47867043586234,87.47867043596234,87.68504612744046,87.68504612754046,87.88108358076555,87.88108358086555,88.06322555256772,88.06322555266772,88.2215228780766,88.2215228781766,88.363145625758,88.363145625858,88.50371231684366,88.50371231694366,88.64350086096404,88.64350086106404,88.78284474967568,88.78284474977568,88.9216884010525,88.92168840115251,89.05830877538565,89.05830877548566,89.18764791740081,89.18764791750081,89.31637565822896,89.31637565832897,89.44415850631356,89.44415850641356,89.57116320743286,89.57116320753286,89.6887189811166,89.6887189812166,89.80366240427402,89.80366240437402,89.9143816010485,89.9143816011485,90.01537396075693,90.01537396085693,90.11397629764343,90.11397629774343,90.20829882622088,90.20829882632088,90.29611826944561,90.29611826954562],[0.0,1e-10,3.37260011138618,3.37260011148618,6.425215074263011,6.425215074363011,9.18685865405031,9.18685865415031,11.945556391754755,11.945556391854755,14.567967246682592,14.567967246782592,17.11895532658272,17.11895532668272,19.615751028543542,19.61575102864354,22.08358854701064,22.083588547110637,24.538253148994023,24.53825314909402,26.74930216891792,26.74930216901792,28.888817249961928,28.888817250061926,30.94557084305554,30.945570843155537,32.988151044995796,32.9881510450958,35.01561296303913,35.015612963139134,36.911734789728015,36.91173478982802,38.694469487190034,38.694469487290036,40.41678663099048,40.41678663109048,42.103864833648856,42.10386483374886,43.75431454701286,43.75431454711286,45.26975576190037,45.26975576200037,46.724445931569754,46.724445931669756,48.159626845180995,48.159626845281,49.52010565012512,49.52010565022512,50.86452127842877,50.86452127852877,52.049917016184345,52.04991701628435,53.234256697344186,53.23425669744419,54.397308500810944,54.397308500910945,55.52078597290048,55.52078597300048,56.625032098562315,56.62503209866232,57.70682312608315,57.70682312618315,58.72136002303315,58.72136002313315,59.70210310891945,59.702103109019454,60.667727910908845,60.667727911008846,61.60278265354785,61.60278265364785,62.49954144910974,62.499541449209744,63.390575306284205,63.39057530638421,64.2787189033019,64.2787189034019,65.14785348159627,65.14785348169627,66.01415338165997,66.01415338175997,66.83570983121993,66.83570983131993,67.65632138803632,67.65632138813632,68.46970729446082,68.46970729456082,69.26536256646209,69.26536256656209,70.05962829031107,70.05962829041107,70.85067026244674,70.85067026254674,71.61414359924098,71.61414359934098,72.37294805424351,72.37294805434351,73.12291498299749,73.12291498309749,73.86487811439427,73.86487811449427,74.6012830531819,74.6012830532819,75.30250463275354,75.30250463285354,75.9712107855616,75.9712107856616,76.60601196345377,76.60601196355377,77.20835329650845,77.20835329660845,77.80135686597974,77.80135686607974,78.38491150801546,78.38491150811547,78.93133742342201,78.93133742352201,79.46453484041874,79.46453484051874,79.9709973509654,79.9709973510654,80.46767744251996,80.46767744261996,80.9484611032123,80.9484611033123,81.42807754345672,81.42807754355673,81.90530396087922,81.90530396097923,82.3746377447967,82.3746377448967,82.84013637581386,82.84013637591386,83.29101696026893,83.29101696036894,83.72827997283156,83.72827997293156,84.16393110953753,84.16393110963753,84.5922454319994,84.5922454320994,85.01527947148259,85.01527947158259,85.43753536400048,85.43753536410048,85.85773472525298,85.85773472535298,86.26203765564328,86.26203765574328,86.66311683432028,86.66311683442028,87.06225064558407,87.06225064568407,87.45932792558247,87.45932792568247,87.84645604081048,87.84645604091048,88.22330149971152,88.22330149981153,88.59347712748159,88.5934771275816,88.96298577213857,88.96298577223857,89.32749204344728,89.32749204354728,89.684105681251,89.684105681351,90.03693974808048,90.03693974818049,90.3677077902516,90.3677077903516,90.69758652160525,90.69758652170525,91.01140207631843,91.01140207641843,91.31977060227463,91.31977060237463,91.6263605065959,91.6263605066959,91.9295043314995,91.9295043315995,92.22369946630235,92.22369946640235,92.5052219219563,92.50522192205631,92.72749404439662,92.72749404449662,92.94331866341031,92.94331866351031,93.15669767767596,93.15669767777597,93.35662586582745,93.35662586592746,93.5337098823553,93.5337098824553,93.70140055337366,93.70140055347366,93.86136533666529,93.86136533676529,94.01899567906106,94.01899567916107,94.1491129680415,94.14911296814151,94.27333857285623,94.27333857295623,94.39250622239662,94.39250622249662,94.5005574867187,94.5005574868187,94.60744153059285,94.60744153069285,94.70804481681864,94.70804481691864,94.80753646452261,94.80753646462261,94.89607847278653,94.89607847288653,94.98389791601126,94.98389791611126,95.07082804841853,95.07082804851854],[0.0,1e-10,1.0514988778009122,1.0514988779009122,2.0928262631270615,2.0928262632270616,3.0035361221379477,3.0035361222379477,3.8980160587300863,3.8980160588300863,4.65070650186255,4.65070650196255,5.338644001098299,5.338644001198299,6.017577228307208,6.017577228407208,6.695509980846468,6.695509980946468,7.357435138671347,7.357435138771347,8.016803527896013,8.016803527996013,8.66060897781503,8.66060897791503,9.292853387106994,9.292853387206994,9.903420845223234,9.903420845323234,10.511375952813168,10.511375952913168,11.062470750011395,11.062470750111395,11.602560325843484,11.602560325943484,12.13948173188835,12.13948173198835,12.641053032938961,12.641053033038961,13.137288469084776,13.137288469184776,13.626854074099601,13.626854074199601,14.113195927401112,14.113195927501112,14.594702153132653,14.594702153232653,15.073373700633523,15.073373700733523,15.55054453612992,15.55054453622992,16.025603258434835,16.025603258534833,16.49577077124369,16.49577077134369,16.964937809382896,16.964937809482894,17.430769931956608,17.430769932056606,17.888209183690485,17.888209183790483,18.344314469198164,18.344314469298162,18.795695290988057,18.795695291088055,19.240350699720867,19.240350699820866,19.68450587111885,19.68450587121885,20.116377436850595,20.116377436950593,20.54246848226881,20.542468482368808,20.947160486141758,20.947160486241756,21.34996270452759,21.34996270462759,21.74453879785187,21.74453879795187,22.137669761097765,22.137669761197763,22.527021153369432,22.52702115346943,22.9150385794149,22.9150385795149,23.298498287520857,23.298498287620856,23.673009305526065,23.673009305626064,24.0414063116612,24.041406311761197,24.40930308046151,24.409303080561507,24.776032628813894,24.776032628913892,25.1373151484093,25.1373151485093,25.495818571700127,25.495818571800125,25.8527101191343,25.8527101192343,26.2074339714509,26.2074339715509,26.553042387888475,26.553042387988473,26.897038928469396,26.897038928569394,27.2404796497894,27.240479649889398,27.582919896439755,27.582919896539753,27.92497106960747,27.924971069707468,28.266577587366452,28.26657758746645,28.605960828081766,28.605960828181765,28.944065684496977,28.944065684596975,29.280558665055533,29.28055866515553,29.61477278664433,29.61477278674433,29.946763631189466,29.946763631289464,30.277642837212767,30.277642837312765,30.60752156856642,30.607521568666417,30.937177972215707,30.937177972315705,31.260998273625376,31.260998273725374,31.583929264217577,31.583929264317575,31.903747666948654,31.903747667048652,32.21800787707057,32.21800787717057,32.529266663183535,32.529266663283536,32.83835775417893,32.83835775427893,33.14705977169168,33.14705977179168,33.45148198089538,33.45148198099538,33.75390324075978,33.753903240859785,34.05582426328936,34.05582426338936,34.35452153410563,34.35452153420563,34.652662985660974,34.652662985760976,34.948358832468294,34.948358832568296,35.53763841289145,35.53763841299145,35.82071716247597,35.820717162575974,36.10090565190374,36.10090565200374,36.380538322070585,36.38053832217059,36.65994866453306,36.65994866463306,36.93652432876487,36.93652432886487,37.20848669313107,37.20848669323107,37.47889276356671,37.478892763666714,37.74807603162834,37.74807603172834,38.01470253108975,38.014702531189755,38.27799411498567,38.27799411508567,38.538673348355275,38.538673348455276,38.79918583594661,38.79918583604661,39.059086922350936,39.05908692245094,39.316931477489874,39.316931477589875,39.57455370492445,39.57455370502445,39.831620113098104,39.831620113198106,40.088186283936935,40.08818628403694,40.3445301270714,40.3445301271714,40.596983235379454,40.596983235479456,40.84893610635268,40.84893610645268,41.098332208725694,41.098332208825695,41.34722807376389,41.34722807386389,41.594956718354155,41.594956718454156,41.842185125609596,41.8421851257096,42.08385534025588,42.08385534035588,42.321079000814834,42.321079000914835,42.55674636744322,42.55674636754322,42.79102418591932,42.79102418601932,43.02302314542566,43.02302314552566,43.25474419530155,43.25474419540155,43.485131278951236,43.48513127905124,43.703790576195594,43.703790576295596,43.92128265299203,43.921282653092035,44.13760750934054,44.13760750944054,44.35243165368458,44.352431653784585,44.5666999787677,44.5666999788677,44.774965455832934,44.774965455932936,44.98200813052415,44.98200813062415,45.18643845468906,45.18643845478906,45.38847875603203,45.38847875613203,45.5898520742619,45.5898520743619,45.99070892523453,45.99070892533453,46.1900812941251,46.1900812942251,46.388286442567754,46.388286442667756,46.584601805523285,46.58460180562329,46.78063925884837,46.78063925894837,46.975342745947245,46.97534274604725,47.16999065112003,47.16999065122003,47.36402715510581,47.36402715520581,47.55167173759106,47.55167173769106,47.73714862495873,47.73714862505873,47.91362124029956,47.913621240399564,48.08964920023166,48.089649200331664,48.26273131808091,48.26273131818091,48.43531319859533,48.43531319869533,48.606839022514016,48.60683902261402,48.77736437176305,48.77736437186305,48.94472155122486,48.94472155132486,49.10946638016036,49.109466380260365,49.27298840672186,49.27298840682186,49.43384250083095,49.43384250093095,49.59208424441374,49.59208424451374,49.74999249643998,49.74999249653998,49.906066544905194,49.906066545005196,50.06069546329203,50.06069546339203,50.21449065278749,50.21449065288749,50.36817467843077,50.36817467853077,50.520747065552214,50.520747065652216,50.67065152022126,50.670651520321265,50.81988899177721,50.819888991877214,50.967125513993864,50.967125514093865,51.113528307319136,51.11352830741914,51.25326126951342,51.253261269613425,51.39243841244679,51.392438412546795,51.53017042530178,51.530170425401785,51.66756894660022,51.66756894670022,51.80324442818982,51.80324442828982,51.93875316400114,51.93875316410114,52.07114931195134,52.07114931205134,52.200599617818675,52.20059961791868,52.32982759598165,52.32982759608165,52.454275528500744,52.454275528600746,52.57838996946329,52.57838996956329,52.699113912934244,52.699113913034246,52.81967111062693,52.81967111072693,52.94011714446743,52.94011714456743,53.05967386749047,53.05967386759047,53.17878593510476,53.178785935204765,53.29600821723195,53.29600821733195,53.41045140305456,53.41045140315456,53.52350504072488,53.52350504082488,53.636225186838644,53.636225186938645,53.748723005248046,53.74872300534805,53.860442676692166,53.86044267679217,53.97199560235801,53.97199560245801,54.08304829068903,54.08304829078903,54.192933758572124,54.192933758672126,54.30276364452913,54.30276364462913,54.41187096544694,54.41187096554694,54.520589212882115,54.52058921298212,54.62886280490855,54.62886280500855,54.73546893915224,54.73546893925224,54.841685999913295,54.8416860000133,54.94645793059596,54.94645793069596,55.04839518304796,55.04839518314796,55.14688635608228,55.14688635618228,55.245210783338315,55.24521078343832,55.34336846481609,55.34336846491609,55.4411926547373,55.4411926548373,55.53896126273243,55.53896126283243,55.636007305688366,55.63600730578837,55.73027425233972,55.73027425243972,55.823485142395334,55.823485142495336,55.91525090237257,55.91525090247257,56.00501571301051,56.00501571311051,56.09416912246144,56.09416912256144,56.18315578613409,56.18315578623409,56.360684458070665,56.36068445817067,56.448337155517116,56.44833715561712,56.5351561240722,56.535156124172204,56.62191951070119,56.62191951080119,56.70812707806926,56.70812707816926,56.79166671298494,56.79166671308494],[0.0,1e-10,1.9867203662181947,1.9867203663181947,3.356814844376165,3.356814844476165,4.61146566204188,4.61146566214188,5.852165416258603,5.852165416358603,6.993095613140901,6.993095613240901,8.111904203438742,8.111904203538742,9.204589288473532,9.204589288573532,10.287825446072748,10.287825446172748,11.359278235340545,11.359278235440545,12.380762873051992,12.380762873151992,13.319486022813045,13.319486022913045,14.242145995933626,14.242145996033626,15.161193143858252,15.161193143958252,16.07851725207404,16.078517252174038,16.98661476055862,16.986614760658618,17.88459635849453,17.88459635859453,18.77679743611691,18.77679743621691,19.66849827640447,19.66849827650447,20.55125042659128,20.55125042669128,21.403043443945073,21.40304344404507,22.1996436086899,22.1996436087899,22.9772347547114,22.9772347548114,23.75265820561533,23.752658205715328,24.51696527130094,24.516965271400938,25.274824833559922,25.27482483365992,26.02584781890964,26.025847819009638,26.73368364768618,26.73368364778618,27.426290028713623,27.42629002881362,28.116561968845218,28.116561968945216,28.803332247633044,28.803332247733042,29.467480682501588,29.467480682601586,30.11667757925149,30.11667757935149,30.74736569461289,30.747365694712887,31.37188421617812,31.37188421627812,31.994846443812786,31.994846443912785,32.59785475998057,32.59785476008057,33.187245504255905,33.18724550435591,33.74634409881133,33.74634409891133,34.293103505774404,34.293103505874406,34.836917070654636,34.83691707075464,35.36689073593805,35.36689073603805,35.88647058104234,35.88647058114234,36.405661352663984,36.405661352763985,36.922573265315876,36.92257326541588,37.437261900924106,37.43726190102411,37.943779993396866,37.94377999349687,38.450186922017444,38.450186922117446,38.95648268678584,38.95648268688584,39.45933237213656,39.45933237223656,39.960069944295796,39.9600699443958,40.45247022754129,40.45247022764129,40.942591651817025,40.94259165191703,41.42070738005698,41.42070738015698,41.89515470117489,41.89515470127489,42.36721199947086,42.36721199957086,42.83910255198855,42.839102552088555,43.30254465174033,43.30254465184033,43.7619848528135,43.7619848529135,44.21936852262129,44.21936852272129,44.67308378530703,44.67308378540703,45.12485368057956,45.124853680679564,45.5739556433997,45.5739556434997,46.016610102793216,46.01661010289322,46.45831966944317,46.45831966954317,47.33857063295586,47.33857063305586,47.774722006996654,47.774722007096656,48.206593572728394,48.206593572828396,48.63551929637728,48.635519296477284,49.05733053348644,49.057330533586445,49.477752222443314,49.477752222543316,49.889503130929896,49.8895031310299,50.288192286784955,50.28819228688496,50.6836021090006,50.683602109100605,51.07528794216812,51.07528794226812,51.464250260957144,51.464250261057146,51.84804346061965,51.84804346071965,52.23094734946469,52.230947349564694,52.61201703474871,52.61201703484871,52.992697646550084,52.992697646650086,53.37276685716446,53.37276685726446,53.75000138954815,53.750001389648155,54.1236230967359,54.1236230968359,54.492909413688494,54.492909413788496,54.859805707819156,54.85980570791916,55.22470105261051,55.224701052710515,55.585761244501555,55.58576124460156,55.94115207993126,55.94115208003126,56.2962650057305,56.2962650058305,56.64798743403815,56.64798743413815,56.99587470944548,56.99587470954548,57.34092730662214,57.34092730672214,57.6833675532725,57.6833675533725,58.02414034214011,58.02414034224011,58.36096681425521,58.36096681435521,58.69607024666147,58.69607024676147,59.026893870758684,59.026893870858686,59.357439585225436,59.35743958532544,59.6865957515399,59.6865957516399,60.01402887814552,60.01402887824552,60.3404059481554,60.3404059482554,60.666338362756555,60.66633836285656,60.99193728580115,60.99193728590115,61.31709155343702,61.31709155353702,61.64196791144243,61.64196791154243,61.96395400929107,61.963954009391074,62.28060424223493,62.28060424233493,62.59480887043075,62.59480887053075,62.90595649269153,62.90595649279153,63.20987846456041,63.20987846466041,63.512410888276996,63.512410888377,63.802215050918605,63.80221505101861,64.08529380050312,64.08529380060313,64.36776114890064,64.36776114900064,64.64978384188943,64.64978384198943,64.92891627472144,64.92891627482145,65.19893327167445,65.19893327177445,65.46656024580551,65.46656024590551,65.73357581874956,65.73357581884956,66.2627157551416,66.2627157552416,66.52445104510696,66.52445104520696,66.7782381196412,66.7782381197412,67.02863469668387,67.02863469678387,67.27747497979597,67.27747497989597,67.52381407623395,67.52381407633395,67.76993084496756,67.76993084506756,68.01371317280532,68.01371317290533,68.25560571515597,68.25560571525597,68.49616429128042,68.49616429138042,68.72999745434778,68.72999745444778,68.96310805237596,68.96310805247596,69.19605190462586,69.19605190472586,69.42627224249728,69.42627224259728,69.65610350688604,69.65610350698604,69.88587918934873,69.88587918944873,70.11115273579799,70.11115273589799,70.33598162683852,70.33598162693852,70.56053260824858,70.56053260834858,70.78447218847164,70.78447218857164,71.00802269521206,71.00802269531206,71.2314620381003,71.2314620382003,71.45406765209717,71.45406765219717,71.67517255408956,71.67517255418956,71.89561047296884,71.89561047306884,72.11388069673056,72.11388069683056,72.3299832253747,72.3299832254747,72.54569668053621,72.54569668063621,72.97540055115037,72.97540055125037,73.18672303415065,73.18672303425065,73.39565549432898,73.39565549442898,73.6013086208679,73.6013086209679,73.80673941970245,73.80673941980245,74.01144765349783,74.01144765359783,74.2122095705407,74.2122095706407,74.41252683217482,74.41252683227482,74.60806404816508,74.60806404826508,74.80093333170294,74.80093333180294,74.99219073938413,74.99219073948413,75.17916833875627,75.17916833885627,75.36536779116314,75.36536779126314,75.54906605689588,75.54906605699588,75.72937382513703,75.72937382523703,75.90951484759992,75.90951484769992,76.08743259301913,76.08743259311913,76.26440544569479,76.2644054457948,76.44093364296171,76.44093364306171,76.61735067637646,76.61735067647646,76.79143326889536,76.79143326899536,76.9651823698577,76.9651823699577,77.1378198322982,77.13781983239821,77.3099570574039,77.30995705750391,77.47881494887018,77.47881494897018,77.6474505126321,77.6474505127321,77.8155858390592,77.8155858391592,77.9809976511078,77.9809976512078,78.14602038967377,78.14602038977377,78.31026498127444,78.31026498137444,78.47434282709686,78.47434282719686,78.63714228861916,78.63714228871916,78.79555077798022,78.79555077808023,78.94940154940177,78.94940154950177,79.10114020763184,79.10114020773185,79.25265653815755,79.25265653825755,79.40367263134843,79.40367263144843,79.5541329052784,79.5541329053784,79.85327483150338,79.85327483160339,80.00062251757222,80.00062251767223,80.14608041815394,80.14608041825394,80.28959295132246,80.28959295142246,80.43121569900386,80.43121569910386,80.57206029971998,80.57206029981998,80.7115709342099,80.7115709343099,80.84941411091707,80.84941411101707,80.98647914065896,80.98647914075896,81.12043158253972,81.12043158263972,81.25427286056829,81.2542728606683,81.3878362289664,81.38783622906641,81.52039912269488,81.52039912279488,81.65251736101462,81.65251736111462,81.78458001740826,81.78458001750826,81.91619801839317,81.91619801849318,82.04431435803431,82.04431435813432,82.1688178724795,82.1688178725795,82.29309905922032,82.29309905932033,82.41682442670022,82.41682442680022,82.5394937375844,82.5394937376844,82.66099582802063,82.66099582812063,82.78188651726985,82.78188651736986,82.90194347762773,82.90194347772773,83.02005507057237,83.02005507067237,83.13677711536474,83.13677711546474,83.25305450474836,83.25305450484836,83.36872049294499,83.36872049304499,83.48294135106323,83.48294135116323,83.5969398814771,83.5969398815771,83.71016026492569,83.71016026502569,83.93654544989678,83.93654544999679,84.0495990875671,84.0495990876671,84.16248597945915,84.16248597955915,84.27481705209027,84.27481705219027,84.38592532234738,84.38592532244738,84.49681126490013,84.49681126500013,84.60691906048758,84.60691906058759,84.71658220066631,84.71658220076631,84.8258006854363,84.82580068553631,84.93301822086701,84.93301822096701,85.03934644548025,85.03934644558025,85.14450744964556,85.14450744974556,85.24905705262385,85.24905705272386,85.35355107367607,85.35355107377607,85.45487692494106,85.45487692504106,85.55431299071893,85.55431299081893,85.65258183604888,85.65258183614888,85.75062835367447,85.75062835377447,85.84845254359568,85.84845254369569,85.94327530950795,85.94327530960796,86.03804249349413,86.03804249359413,86.13275409555422,86.13275409565422,86.22735453376212,86.22735453386213,86.32062100574383,86.32062100584383,86.41355398616899,86.413553986269,86.50626463888979,86.50626463898979,86.59841947234966,86.59841947244966,86.68957383113988,86.68957383123988,86.78022795259528,86.78022795269528,86.8707709101985,86.8707709102985,86.96064688468863,86.96064688478863,87.22994131660244,87.22994131670244,87.31942821760991,87.31942821770991,87.4088039547652,87.4088039548652,87.49762387265959,87.49762387275959,87.58533215203214,87.58533215213214,87.67165088325238,87.67165088335238,87.75774728676828,87.75774728686828,87.84267646983625,87.84267646993625],[0.0,1e-10,0.709614450411473,0.709614450511473,1.3285191974414527,1.3285191975414528,1.9051816806418156,1.9051816807418156,2.443437052912882,2.443437053012882,2.9783575096184522,2.9783575097184523,3.481429522673535,3.481429522773535,3.984390371876435,3.984390371976435,4.474567378078266,4.474567378178266,4.955295456844525,4.955295456944525,5.3992283005381445,5.3992283006381445,5.836324567322496,5.836324567422496,6.264416562080009,6.264416562180009,6.671331842996621,6.671331843096621,7.071410547003968,7.071410547103968,7.467098278850076,7.467098278950076,7.85978458668724,7.85978458678724,8.252359730672218,8.252359730772218,8.639376682048038,8.639376682148038,9.025004085271568,9.025004085371569,9.40062674179861,9.40062674189861,9.759074583163345,9.759074583263345,10.109685372949166,10.109685373049166,10.457461484504314,10.457461484604314,10.804237121389814,10.804237121489814,11.143564780179041,11.143564780279041,11.482169873929076,11.482169874029076,11.819774493009461,11.819774493109461,12.156045145863649,12.156045145963649,12.486646442256493,12.486646442356493,12.812412111079368,12.812412111179368,13.132008186106075,13.132008186206075,13.451104023797958,13.451104023897958,13.770088697637657,13.770088697737657,14.083348433089922,14.083348433189922,14.708256028137795,14.708256028237795,15.01912574076812,15.01912574086812,15.328661487172248,15.328661487272248,15.636140702310986,15.636140702410986,15.939562436845037,15.939562436945037,16.53879118203859,16.53879118213859,16.83181909639351,16.831819096493508,17.123624208374416,17.123624208474414,17.41498466494659,17.41498466504659,17.70578930225785,17.705789302357847,17.98592220975952,17.985922209859517,18.26566604377855,18.265666043878547,18.54268636341909,18.54268636351909,18.819651101133537,18.819651101233536,19.08772273067333,19.08772273077333,19.354460393986926,19.354460394086924,19.620642238039604,19.620642238139602,19.885323370087807,19.885323370187805,20.147614479314075,20.147614479414074,20.404792051339914,20.404792051439912,20.651964876669265,20.651964876769263,20.89663651532449,20.89663651542449,21.14119699012754,21.141196990227538,21.385590719152308,21.385590719252306,21.874100267571393,21.87410026767139,22.114825589474115,22.114825589574114,22.35371670781582,22.35371670791582,22.591107114153047,22.591107114253045,22.827719373524996,22.827719373624994,23.299054106781774,23.299054106881773,23.533387507183964,23.533387507283962,23.766664850990413,23.76666485109041,23.997441008122742,23.99744100822274,24.227939255624612,24.22793925572461,24.45660329956546,24.45660329966546,24.912875330851413,24.91287533095141,25.139316097748598,25.139316097848596,25.3643117345674,25.3643117346674,25.588306896716553,25.58830689681655,25.810856928787324,25.810856928887322,26.030739028405698,26.030739028505696,26.248564596758683,26.24856459685868,26.463499904954908,26.463499905054906,26.67637868188574,26.67637868198574,26.888923967260023,26.88892396736002,27.100802269521207,27.100802269621205,27.312458244078023,27.31245824417802,27.522835834334735,27.522835834434733,27.73265760533053,27.73265760543053,27.9399781896522,27.9399781897522,28.14718761012169,28.14718761022169,28.35395237518245,28.353952375282446,28.55849386319954,28.55849386329954,28.761089983803426,28.761089983903425,28.96329703092467,28.96329703102467,29.164948258785003,29.164948258885,29.3661548312366,29.366154831336598,29.5673058217621,29.5673058218621,29.767067264135317,29.767067264235315,29.966328469173707,29.966328469273705,30.165534092286006,30.165534092386004,30.561944389171305,30.561944389271304,30.757703932865926,30.757703932965924,30.95257416574308,30.952574165843078,31.145999268541853,31.14599926864185,31.33931320748844,31.33931320758844,31.53162667176538,31.53162667186538,31.72182802285084,31.721828022950838,31.911251226971018,31.911251227071016,32.10050768531292,32.10050768541292,32.289375070172184,32.289375070272186,32.47818687310535,32.47818687320535,32.66605378329496,32.666053783394965,32.85369836578021,32.85369836588021,33.03978665433489,33.03978665443489,33.223484920067634,33.223484920167635,33.4056824737959,33.4056824738959,33.58715746248498,33.58715746258498,33.768521287321875,33.768521287421876,33.94955162060222,33.94955162070222,34.129525897286825,34.12952589738683,34.309222264340974,34.309222264440976,34.48830723020811,34.48830723030811,34.66672521296215,34.66672521306215,34.84364248371172,34.84364248381172,35.19708795172821,35.19708795182821,35.37356056706904,35.373560567169044,35.54942178122287,35.54942178132287,35.72506066767233,35.72506066777233,35.89981024330432,35.899810243404325,36.07444865508413,36.074448655184135,36.24730844522902,36.24730844532902,36.4201126534478,36.420112653547804,36.59052683884465,36.590526838944655,37.101602649256925,37.10160264935693,37.271127523836306,37.27112752393631,37.44043007071133,37.44043007081133,37.609677035660255,37.60967703576026,37.778812836757,37.778812836857,37.94789305592764,37.947893056027645,38.116917693172205,38.11691769327221,38.285720002712395,38.2857200028124,38.45357741950903,38.45357741960903,38.6212125086013,38.621212508701305,38.788625269989204,38.788625270089206,38.95576012174665,38.95576012184665,39.12200566268663,39.122005662786634,39.288084457848335,39.28808445794834,39.452551377153384,39.452551377253386,39.6165736410497,39.6165736411497,39.78037357724165,39.78037357734165,39.94378443995095,39.943784440050955,40.10541668102533,40.105416681125334,40.26682659439534,40.26682659449534,40.42773627043053,40.42773627053053,40.58847920068744,40.58847920078744,40.749166549018256,40.74916654911826,40.90957598771862,40.90957598781862,41.0698742625668,41.0698742626668,41.23006137356279,41.23006137366279,41.389914993002236,41.38991499310224,41.54954628473732,41.54954628483732,41.708844084915846,41.70884408501585,41.86786397546391,41.867863975563914,42.02605013712061,42.026050137220615,42.18356931566421,42.18356931576421,42.34081058457735,42.34081058467735,42.497940689638305,42.49794068973831,42.65462613929053,42.65462613939053,42.810978097386204,42.810978097486206,42.96727447355579,42.96727447365579,43.12312619431664,43.12312619441664,43.27792185848175,43.27792185858175,43.58695736755105,43.58695736765105,43.74108604860306,43.74108604870306,43.893658435724504,43.893658435824506,44.19863646418912,44.19863646428912,44.35070861397574,44.35070861407574,44.502502854131905,44.502502854231906,44.65424151236198,44.65424151246198,44.80503527784849,44.80503527794849,44.955439969852364,44.955439969952366,45.10534442452141,45.105344424621414,45.25141372629014,45.25141372639014,45.39653813531531,45.39653813541531,45.541051143153474,45.541051143253476,45.68550856906555,45.68550856916555,45.82979924919934,45.82979924929934,45.97397876548096,45.97397876558096,46.11749129864947,46.11749129874947,46.2609482498919,46.2609482499919,46.403515890316854,46.403515890416855,46.545527711480894,46.545527711580895,46.68703929531011,46.68703929541011,46.82832855143496,46.82832855153496,46.96895082444671,46.96895082454671,47.10857262278881,47.108572622888815,47.24602672601334,47.24602672611334,47.38342524731178,47.38342524741178,47.52054585897976,47.52054585907976,47.657166233312914,47.657166233412916,47.79317520645906,47.79317520655906,47.92890626997475,47.928906270074755,48.06413709615562,48.06413709625562,48.19920117655821,48.199201176658214,48.334042929256434,48.334042929356436,48.468273280767654,48.468273280867656,48.602392468426686,48.60239246852669,48.736344910307444,48.736344910407446,48.869185713666376,48.86918571376638,49.00197093509921,49.00197093519921,49.13464499267986,49.13464499277986,49.26709672255615,49.26709672265615,49.3991037970237,49.3991037971237,49.530721798008614,49.530721798108615,49.66161723395433,49.66161723405433,49.792234760269594,49.792234760369595,50.05341423097403,50.05341423107403,50.18392059343711,50.18392059353711,50.314037882417544,50.314037882517546,50.443877261767526,50.44387726186753,50.7035004385414,50.7035004386414,50.83272841670437,50.83272841680437,50.96095592019769,50.96095592029769,51.21674394407124,51.21674394417124,51.344137718673196,51.3441377187732,51.59870294017273,51.59870294027273,51.725763223218124,51.725763223318125,51.85243443278089,51.85243443288089,52.10566568805422,52.105665688154225,52.231058513316874,52.231058513416876,52.35611784702298,52.35611784712298,52.481066016876895,52.4810660169769,52.73090677465864,52.730906774758644,52.855076797547284,52.855076797647286,52.97919123850983,52.97919123860983,53.226864301174004,53.226864301274006,53.35036734094954,53.35036734104954,53.47359247109462,53.47359247119462,53.59464990612213,53.59464990622213,53.71559617729745,53.71559617739745,53.836486866546686,53.83648686664669,53.956654990756725,53.95665499085673,54.07671195111458,54.076711951214584,54.19643541991589,54.196435420015895,54.31538074175192,54.315380741851925,54.43415931780967,54.434159317909675,54.55277114808915,54.55277114818915,54.78982806286983,54.78982806296983,54.90799523774057,54.907995237840574,55.02594008490695,55.02594008500695,55.143718186295054,55.143718186395056,55.26060697686569,55.26060697696569,55.37721785780587,55.37721785790587,55.49360641104168,55.493606411141684,55.609939382351406,55.60993938245141,55.72532746091757,55.72532746101757,55.84060437563155,55.84060437573155,55.95577012649335,55.95577012659335,56.070157730389866,56.07015773048987,56.184434170434194,56.184434170534196,56.29865502855244,56.29865502865244,56.41220890355758,56.41220890365758,56.52554045085835,56.52554045095835,56.63876083430694,56.638760834406945,56.751258652716345,56.75125865281635,56.86325623379092,56.86325623389092,56.97386426671321,56.97386426681321,57.08436113578331,57.08436113588331,57.19380194825767,57.193801948357674,57.302853687249396,57.3028536873494,57.4113496069802,57.411349607080204,57.51962319900664,57.51962319910664,57.62556235013723,57.62556235023723,57.73133475548955,57.73133475558955,57.942657238489815,57.94265723858982,58.047707078802944,58.047707078902945,58.152256681781246,58.15225668188125,58.256417211276904,58.256417211376906,58.36041099499429,58.36041099509429,58.46412686908122,58.46412686918122,58.56717576005505,58.56717576015505,58.66944650406359,58.669446504163595,58.77121701073732,58.77121701083732,58.87282077163276,58.87282077173276,59.07591712957147,59.075917129671474,59.17724298083646,59.17724298093646,59.27845766824927,59.27845766834927,59.480609133444425,59.48060913354443,59.58143474737459,59.58143474747459,59.78286364753055,59.78286364763055,59.88324460605198,59.88324460615198,59.983569982647325,59.983569982747326,60.0836730315383,60.0836730316383,60.183553752724904,60.183553752824906,60.28332331005933,60.28332331015933,60.38270379391111,60.382703794011114,60.48180636813244,60.48180636823244,60.67962244309245,60.67962244319245,60.77800245227458,60.77800245237458,60.87627129760453,60.876271297704534,60.9744289790823,60.9744289791823,61.07247549670788,61.07247549680788,61.169799449294274,61.169799449394276,61.267067819954576,61.26706782005458,61.364113862910514,61.364113863010516,61.46093757816208,61.46093757826208,61.557650129561466,61.55765012966147,61.65386244362603,61.653862443726034,61.749796848060136,61.74979684816014,61.844841941676776,61.84484194177678,61.93983145336732,61.93983145346732,62.0345986373535,62.0345986374535,62.12908791170922,62.12908791180922,62.317732968864114,62.317732968964116,62.4118331697372,62.4118331698372,62.50498847786672,62.50498847796672,62.59786587636579,62.59786587646579,62.69063211101267,62.69063211111267,62.96826383184022,62.96826383194022,63.15224000720342,63.15224000730342,63.24372785755019,63.24372785765019,63.33454872478387,63.334548724883874,63.425258428165364,63.425258428265366,63.51546789421203,63.51546789431203,63.60528828677606,63.60528828687606,63.694830769709625,63.69483076980963,63.78387301530837,63.783873015408375,63.87202595008965,63.87202595018965,63.95978981138829,63.95978981148829,64.04666436186946,64.04666436196946,64.13276076538536,64.13276076548536,64.21869042312296,64.21869042322297,64.3045644989345,64.3045644990345,64.39021624704165,64.39021624714165,64.64694916365876,64.64694916375876,64.8174189309817,64.8174189310817,64.98733287904372,64.98733287914372,65.07203973440733,65.07203973450733,65.15669100784483,65.15669100794483,65.32588239086766,65.32588239096766,65.41014459082254,65.41014459092254,65.49412888114695,65.49412888124695,65.57794642569309,65.57794642579309,65.74530360515489,65.74530360525489],[0.0,1e-10,1.6733494669137468,1.6733494670137468,3.1920144335145673,3.1920144336145673,4.551603927641225,4.551603927741225,5.905913138789181,5.905913138889181,7.174904093386529,7.174904093486529,8.347349242362766,8.347349242462766,9.480664715370514,9.480664715470514,10.607866176508187,10.607866176608187,11.714724652696335,11.714724652796335,12.706417378022683,12.706417378122683,13.689494904804835,13.689494904904835,14.662734430668772,14.662734430768772,15.570498447596805,15.570498447696805,16.465700949228133,16.46570094932813,17.31527068953826,17.315270689638258,18.089804829624722,18.08980482972472,18.862504766150163,18.86250476625016,19.632870261779754,19.632870261879752,20.383281845942463,20.38328184604246,21.130358514539676,21.130358514639674,21.866207634066384,21.866207634166383,22.59566483209256,22.595664832192558,23.31867452669211,23.31867452679211,24.03784906839134,24.037849068491337,24.753299621042427,24.753299621142425,25.453353980166145,25.453353980266144,26.15012900565046,26.150129005750458,26.843402369791,26.843402369891,27.527727043830794,27.527727043930792,28.19687785204758,28.19687785214758,28.844462872940827,28.844462873040825,29.48498898922044,29.48498898932044,30.11011891197268,30.11011891207268,30.724743850693606,30.724743850793605,31.337312258149144,31.337312258249142,31.933372833555477,31.933372833655476,32.52893317162698,32.52893317172698,33.12065835679817,33.12065835689817,33.69665385688543,33.696653856985435,34.26197762716311,34.261977627263114,35.37806270308246,35.378062703182465,35.92732329671966,35.927323296819665,36.47419386753493,36.47419386763493,36.98999414166499,36.98999414176499,37.48367280921059,37.48367280931059,37.97679565749528,37.97679565759528,38.46802872029285,38.46802872039285,38.95470406515091,38.954704065250915,39.43826682214784,39.43826682224784,39.920773522549034,39.920773522649036,40.3914968546188,40.3914968547188,40.85771805067515,40.857718050775155,41.322438534727034,41.322438534827036,41.77020653132097,41.770206531420975,42.21330564612322,42.21330564622322,42.65329217306433,42.65329217316433,43.090833095257416,43.09083309535742,43.52620632233293,43.526206322432934,43.95807788806467,43.958077888164674,44.38616988282218,44.38616988292218,44.81376164024487,44.81376164034487,45.23485031231484,45.23485031241484,45.648768915919,45.648768916019,46.05479488601814,46.054794886118145,46.452150075647005,46.45215007574701,46.84100123058384,46.841001230683844,47.229074238555405,47.22907423865541,47.61570211644858,47.61570211654858,47.99643831017605,47.996438310276055,48.37584053767732,48.37584053777732,48.753797635100206,48.75379763520021,49.1304207662969,49.1304207663969,49.505987840897845,49.50598784099785,49.87671928792883,49.87671928802883,50.24639467836407,50.24639467846407,50.61329097249473,50.61329097259473,50.97134974037682,50.971349740476825,51.32696290351089,51.32696290361089,51.67990813419256,51.67990813429256,52.02924053967827,52.02924053977827,52.37329266218528,52.37329266228528,52.71284264867887,52.712842648778874,53.04916888345915,53.049168883559155,53.3843834797176,53.3843834798176,53.718875510936854,53.718875511036856,54.05270055904301,54.05270055914301,54.38619211559262,54.38619211569262,54.716904575837646,54.71690457593765,55.04405979281281,55.04405979291281,55.36921406044868,55.36921406054868,55.69264528837571,55.69264528847571,56.013464165776426,56.01346416587643,56.33222651191176,56.332226512011765,56.645375083511844,56.645375083611846,56.957856671998826,56.95785667209883,57.267948237663866,57.26794823776387,57.57187020953275,57.57187020963275,57.87551427177116,57.87551427187116,58.1783801870443,58.1783801871443,58.47596581933873,58.475965819438734,58.77349586970707,58.77349586980707,59.07097033814932,59.070970338249325,59.36772224155238,59.36772224165238,59.663306924507516,59.66330692460752,59.95878044361047,59.958780443710474,60.25419838078733,60.25419838088733,60.54416928920721,60.54416928930721,60.83313972295745,60.83313972305745,61.1167187098768,61.1167187099768,61.394628340334805,61.39462834043481,61.67103725878834,61.67103725888834,61.94705710375923,61.94705710385923,62.22274345717357,62.22274345727357,62.49498373117023,62.49498373127023,62.76600120279288,62.76600120289288,63.03646285515461,63.03646285525461,63.30520146780751,63.30520146790751,63.57077191067317,63.570771910773175,63.82983926818613,63.82983926828613,64.08790615102943,64.08790615112943,64.34436115801608,64.34436115811609,64.59881521566344,64.59881521576344,64.85199088901068,64.85199088911068,65.10499981657965,65.10499981667965,65.35567430325277,65.35567430335277,65.60573738873887,65.60573738883888,65.85552256459454,65.85552256469454,66.1006388586585,66.1006388587585,66.34431002264408,66.34431002274408,66.58559116380772,66.58559116390772,66.82492693755815,66.82492693765815,67.06326223663893,67.06326223673894,67.30131962608927,67.30131962618927,67.53765397583075,67.53765397593075,67.7735436701635,67.7735436702635,68.00804381634397,68.00804381644397,68.24193256133744,68.24193256143744,68.47193057150449,68.47193057160449,68.70176183589325,68.70176183599325,68.9304258798341,68.9304258799341,69.1581450310314,69.1581450311314,69.38425230637202,69.38425230647202,69.6054127902905,69.6054127903905,69.82062600811719,69.82062600821719,70.03311571156537,70.03311571166537,70.24393795723081,70.24393795733081,70.45231459814823,70.45231459824824,70.6596351824699,70.6596351825699,70.86501039937838,70.86501039947838,71.06688395494307,71.06688395504307,71.26797936354248,71.26797936364248,71.4676852239896,71.4676852240896,71.66733550251064,71.66733550261064,71.8667078714012,71.8667078715012,72.06502418369604,72.06502418379604,72.26089489124284,72.26089489134284,72.45465348559817,72.45465348569817,72.6476895149143,72.6476895150143,72.84044763459997,72.84044763469997,73.0302043302767,73.0302043303767,73.21907171513595,73.21907171523596,73.4054379133211,73.4054379134211,73.59085921876267,73.59085921886268,73.77583586879553,73.77583586889553,73.96047902727183,73.96047902737183,74.14378821952192,74.14378821962192,74.32631926480674,74.32631926490674,74.50762750771754,74.50762750781755,74.68876900485007,74.68876900495007,74.86674233219539,74.86674233229539,75.0440486764276,75.0440486765276,75.22085478332498,75.22085478342498,75.39727181673972,75.39727181683972,75.5727439574109,75.57274395751091,75.74732678726463,75.74732678736463,75.92174287134007,75.92174287144007,76.09204589288474,76.09204589298474,76.2610149482032,76.2610149483032,76.42937260233467,76.42937260243467,76.59083809763077,76.59083809773077,76.75158102788768,76.75158102798768,76.91165697503149,76.91165697513149,77.06623031149223,77.06623031159224,77.2199699190616,77.2199699191616,77.37359836277878,77.37359836287878,77.52550376678712,77.52550376688713,77.67579729493882,77.67579729503882,77.82497918456868,77.82497918466868,77.97132639596786,77.97132639606787,78.11645080499304,78.11645080509304,78.26124172246166,78.26124172256166,78.40542123874327,78.40542123884327,78.5488781899857,78.5488781900857,78.69194606774548,78.69194606784548,78.83373556120515,78.83373556130515,78.97546947273874,78.97546947283874,79.1166475650114,79.1166475651114,79.25738100187533,79.25738100197533,79.39750303755226,79.39750303765226,79.53706925396827,79.53706925406827,79.67574615956681,79.67574615966682,79.81342259049572,79.81342259059572,79.94693037696774,79.94693037706774,80.07993792610495,80.07993792620495,80.21261198368559,80.21261198378559,80.34311834614867,80.34311834624867,80.47312447127693,80.47312447137693,80.60263035907036,80.60263035917036,80.7320250830116,80.73202508311161,80.99053662126364,80.99053662136365,81.11959785364834,81.11959785374835,81.24743628365903,81.24743628375903,81.37382958359133,81.37382958369133,81.4984442618887,81.4984442619887,81.62111357277286,81.62111357287286,81.74317148247002,81.74317148257002,81.86461799098016,81.86461799108017,81.98573100793377,81.98573100803377,82.10506540325242,82.10506540335243,82.22284350464054,82.22284350474054,82.34051044217645,82.34051044227645,82.45712132311664,82.45712132321664,82.57273172938716,82.57273172948716,82.68784189832287,82.68784189842287,82.80211833836721,82.80211833846721,82.91472732062878,82.91472732072879,83.02605791859027,83.02605791869027,83.1349984937298,83.1349984938298,83.24343883153452,83.24343883163452,83.3507675308174,83.3507675309174,83.45792948432201,83.45792948442201,83.56470236434397,83.56470236444397,83.67130849858766,83.67130849868767,83.77674741238343,83.77674741248343,83.98651360145314,83.98651360155314,84.09045180324443,84.09045180334444,84.19433442310964,84.19433442320964,84.29799471527046,84.29799471537046,84.40121035202257,84.40121035212258,84.50336993217893,84.50336993227893,84.60341739914382,84.60341739924382,84.7027423010695,84.70274230116951,84.80045532713854,84.80045532723854,84.89811277128149,84.89811277138149,84.99571463349834,84.99571463359834,85.09237160297164,85.09237160307164,85.18886182666665,85.18886182676665,85.28346226487456,85.28346226497456,85.3778403753781,85.3778403754781,85.47144033891635,85.47144033901635,85.56470681089806,85.56470681099806,85.6578065371015,85.6578065372015,85.75057277174838,85.75057277184838,85.84300551483871,85.84300551493871,85.93460452903767,85.93460452913767,86.02587005168007,86.02587005178007,86.11696882854422,86.11696882864422,86.29894405456811,86.29894405466811,86.38798630016686,86.38798630026686,86.47675063613515,86.47675063623515,86.56462566128596,86.56462566138596,86.65211161295414,86.65211161305415,86.73931965499187,86.73931965509188,86.82608304162086,86.82608304172086,86.91140129817147,86.91140129827147,86.99560791620024,86.99560791630024,87.07970337037683,87.07970337047684],[0.0,1e-10,1.6757394897356857,1.6757394898356857,2.9264995725749885,2.9264995726749885,4.104169422603835,4.104169422703835,5.270945215118728,5.270945215218728,6.345121518765014,6.345121518865014,7.373220405681362,7.373220405781362,8.350850903706537,8.350850903806537,9.312195897386871,9.312195897486871,10.257866787909375,10.257866788009375,11.200258344792474,11.200258344892474,12.131033279122429,12.131033279222429,12.986661449376538,12.986661449476538,13.842234037704555,13.842234037804555,14.692359597275596,14.692359597375596,15.517139798548866,15.517139798648866,16.309904810393377,16.309904810493375,17.09422136947196,17.094221369571958,17.86753270718441,17.867532707284408,18.632117682500475,18.632117682600473,19.38686465689833,19.386864656998327,20.134719472460823,20.13471947256082,20.880351010979652,20.88035101107965,21.617812006363017,21.617812006463016,22.347269204389193,22.34726920448919,23.061774864296726,23.061774864396725,23.75993943793333,23.759939438033328,24.455991898378453,24.45599189847845,25.14626383851005,25.146263838610047,25.793070712438013,25.79307071253801,26.435375450352556,26.435375450452554,27.06517425489649,27.06517425499649,27.683967838074285,27.683967838174283,28.28636475305506,28.28636475315506,28.88826143070101,28.88826143080101,29.4561419695789,29.4561419696789,30.01957595436946,30.01957595446946,30.577396164624773,30.57739616472477,31.12687908596634,31.12687908606634,31.675528278416536,31.675528278516534,32.21606250965736,32.216062509757364,32.75587417585899,32.75587417595899,33.26950675487148,33.26950675497148,33.772967841409205,33.77296784150921,34.27553961712946,34.27553961722946,34.77744440973662,34.77744440983662,35.27623661448265,35.27623661458265,35.771749485589275,35.77174948568928,36.2633160399434,36.2633160400434,36.742209915148635,36.74220991524864,37.21815794827101,37.218157948371015,37.6808774829836,37.6808774830836,38.13342552522141,38.133425525321414,38.58113793988926,38.58113793998926,39.02679382329172,39.02679382339172,39.4709489946897,39.4709489947897,39.91488183838332,39.914881838483325,40.355702094215815,40.35570209431582,40.794632564561184,40.794632564661185,41.23217348675427,41.23217348685427,41.65848685987685,41.658486859976854,42.084133249886335,42.08413324998634,42.50055304016461,42.50055304026461,42.91513862688186,42.915138626981864,43.328501411225105,43.32850141132511,43.73424947169379,43.734249471793795,44.135662141927334,44.135662142027336,44.53485153511722,44.53485153521722,44.927815752584834,44.927815752684836,45.31516619551721,45.31516619561721,45.69890381325362,45.698903813353624,46.077416729937426,46.07741673003743,46.45048261786425,46.450482617964255,46.82282594075189,46.82282594085189,47.194946935935164,47.194946936035166,47.560231354209165,47.56023135430917,47.92279225810468,47.92279225820468,48.284964088517555,48.284964088617556,48.64563520692595,48.645635207025954,48.99324457270283,48.99324457280283,49.33496225431399,49.334962254413995,49.67601295281206,49.67601295291206,50.01678574167966,50.016785741779664,50.355557581207975,50.35555758130798,50.69249521717526,50.69249521727526,51.029099361586,51.029099361686,51.36448070362272,51.36448070372272,51.69730527705923,51.69730527715923,52.027406336117245,52.02740633621725,52.68255049895895,52.682550499058955,53.00470334258587,53.00470334268587,53.32607803924751,53.326078039347514,53.64400665649147,53.64400665659147,53.961768527957155,53.961768528057156,54.277751777787905,54.27775177788791,54.592178733688094,54.592178733788096,54.90588312454909,54.905883124649094,55.21614143599241,55.216141436092414,55.52484345350516,55.524843453605165,55.83337872523964,55.83337872533964,56.13863466333471,56.138634663434715,56.44366827372542,56.44366827382542,56.74664535285074,56.74664535295074,57.04851079345423,57.04851079355423,57.34948692324025,57.34948692334025,57.64740604709123,57.64740604719123,57.943379803529005,57.94337980362901,58.2366300455883,58.2366300456883,58.52598955282117,58.525989552921175,58.815237896201864,58.815237896301866,59.10343018298682,59.10343018308682,59.38973268428465,59.389732684384654,59.67092164838206,59.670921648482064,59.94972058965754,59.94972058975754,60.22785254781991,60.22785254791991,60.503205409677705,60.503205409777706,60.774945446339544,60.774945446439546,61.042294510840144,61.042294510940145,61.307976117558,61.307976117658,61.569211170188524,61.569211170288526,61.826499906066545,61.826499906166546,62.08045372637907,62.08045372647907,62.33274008890885,62.33274008900885,62.58435946832553,62.58435946842553,62.83542302848129,62.83542302858129,63.08581960552395,63.08581960562395,63.33593827293616,63.33593827303616,63.585612284939636,63.58561228503964,63.83378558493863,63.83378558503863,64.08151422952889,64.0815142296289,64.32540772121885,64.32540772131885,64.56874539364787,64.56874539374788,64.8095262974767,64.8095262975767,65.04530482795727,65.04530482805727,65.27952706450728,65.27952706460728,65.51341580950073,65.51341580960073,65.74702664486372,65.74702664496373,65.97947025977881,65.97947025987881,66.2118027108417,66.2118027109417,66.43702067536486,66.43702067546486,66.66129374714448,66.66129374724449,66.87967513475839,66.87967513485839,67.0946660248807,67.0946660249807,67.30898993188991,67.30898993198991,67.5228136015643,67.5228136016643,67.73602587005168,67.73602587015168,67.94890464698251,67.94890464708251,68.16000480227841,68.16000480237841,68.37082704794386,68.37082704804386,68.58114905627448,68.58114905637449,68.79124873690073,68.79124873700073,69.00129283560089,69.0012928357009,69.20777969103119,69.2077796911312,69.41393305490494,69.41393305500495,69.61819663329157,69.61819663339158,69.82062600811719,69.82062600821719,70.02222165405142,70.02222165415142,70.22164960486809,70.22164960496809,70.41991033523684,70.41991033533684,70.61428033077915,70.61428033087915,70.80848358054321,70.80848358064321,71.00063029904187,71.00063029914187,71.19216561635353,71.19216561645354,71.38192231203027,71.38192231213027,71.57084527881561,71.57084527891561,71.75971266367488,71.75971266377488,71.94841330275587,71.94841330285587,72.13694719605857,72.13694719615857,72.32531434358302,72.32531434368302,72.51151379598987,72.51151379608987,72.69554555327916,72.69554555337916,72.87896590938145,72.87896590948145,73.06221951970547,73.06221951980547,73.24430590958154,73.24430590968154,73.426003225975,73.426003226075,73.60636657614224,73.60636657624224,73.78511805045282,73.78511805055282,73.96298021394595,73.96298021404596,74.1400086485477,74.14000864864771,74.31625893618417,74.31625893628417,74.49245364189454,74.49245364199454,74.66859276567882,74.66859276577883,74.8435646690152,74.8435646691152,75.0168691145688,75.01686911466881,75.18878401197013,75.18878401207013,75.35808655884514,75.35808655894515,75.52705561416361,75.52705561426362,75.69563559599943,75.69563559609944,75.86371534050043,75.86371534060044,76.02834900558376,76.02834900568376,76.1915375405887,76.1915375406887,76.35316978166308,76.35316978176309,76.51369038421562,76.51369038431562,76.67348842172898,76.67348842182898,76.83273063998142,76.83273064008142,76.9909723835642,76.9909723836642,77.1478245789947,77.1478245790947,77.30412095516428,77.30412095526428,77.45802730851193,77.45802730861193,77.61076644141164,77.61076644151164,77.76289417312437,77.76289417322437,77.91429933979788,77.91429933989788,78.0650375233583,78.0650375234583,78.21510872380563,78.21510872390563,78.5131390115088,78.5131390116088,78.65959738676017,78.65959738686017,78.80511086926798,78.80511086936798,78.9499573686627,78.9499573687627,79.09469270420522,79.09469270430522,79.23664894344317,79.23664894354317,79.37854960075502,79.37854960085502,79.51806023524495,79.51806023534495,79.65568108424775,79.65568108434775,79.79257936821136,79.79257936831137,79.9293664883228,79.9293664884228,80.0649308060602,80.0649308061602,80.20038395994544,80.20038396004544,80.3303900850737,80.3303900851737,80.45422661640579,80.45422661650579,80.57639568995512,80.57639569005512,80.69850918157837,80.69850918167838,80.81956661660588,80.81956661670588,80.9398459046681,80.9398459047681,81.0596805373216,81.0596805374216,81.17895935071417,81.17895935081417,81.29812700025457,81.29812700035457,81.41690557631232,81.41690557641232,81.53562857044398,81.53562857054398,81.65368458146254,81.65368458156254,81.77062895395926,81.77062895405926,81.8862393602298,81.8862393603298,82.00112720146113,82.00112720156113,82.11562596920983,82.11562596930983,82.22817936954533,82.22817936964533,82.33912089402416,82.33912089412416,82.44917310768554,82.44917310778554,82.55666855274669,82.55666855284669,82.66399725202957,82.66399725212958,82.7709924597559,82.7709924598559,82.87643137355167,82.87643137365167,82.98053632112125,82.98053632122125,83.08425219520817,83.08425219530817,83.1873566681081,83.1873566682081,83.28934950248617,83.28934950258618,83.39073093567725,83.39073093577726,83.49022258338123,83.49022258348123,83.58843584678509,83.58843584688509,83.68648236441067,83.68648236451067,83.78386189892315,83.78386189902315,83.88007421298772,83.88007421308772,83.97378534037816,83.97378534047816,84.06732972199032,84.06732972209032,84.16054061204593,84.16054061214594,84.25308451898846,84.25308451908846,84.34535051630051,84.34535051640052,84.43728302205602,84.43728302215602,84.52893761818108,84.52893761828108,84.62042546852784,84.62042546862784,84.71096842613106,84.71096842623106,84.79901019706016,84.79901019716016,84.88694080413707,84.88694080423707,84.97470466543571,84.97470466553571,85.0621906171039,85.0621906172039,85.14845376639806,85.14845376649806,85.23449458798785,85.23449458808786,85.32014633609501,85.32014633619501,85.40568692034999,85.40568692045,85.48950446489613,85.48950446499613,85.5730440998118,85.5730440999118],[0.0,1e-10,0.6002292198632018,0.6002292199632018,1.1975125976435486,1.1975125977435486,1.7934064272716055,1.7934064273716055,2.3645107178628084,2.3645107179628084,2.8665266743221505,2.8665266744221505,3.3585934660110963,3.3585934661110963,3.833263114833371,3.833263114933371,4.289034908784501,4.289034908884501,4.723741152746914,4.723741152846914,5.155946210035205,5.155946210135205,5.586984046875573,5.586984046975573,6.015242787411361,6.015242787511361,6.433885854733301,6.433885854833301,6.852084266646509,6.852084266746509,7.269560113520526,7.269560113620526,7.683423135198589,7.683423135298589,8.074275239474728,8.074275239574728,8.463571049820304,8.463571049920304,8.823352857411239,8.823352857511239,9.183079083076082,9.183079083176082,9.537247116131764,9.537247116231764,9.881799475973601,9.881799476073601,10.22468437803269,10.22468437813269,10.566068568087303,10.566068568187303,10.903839932945964,10.903839933045964,11.240833150839343,11.240833150939343,11.577214967545713,11.577214967645713,11.908816738608206,11.908816738708206,12.231914474978684,12.231914475078684,12.553400335492507,12.553400335592507,12.86632657938822,12.86632657948822,13.176696054683722,13.176696054783722,13.486732038422673,13.486732038522673,13.796712440235535,13.796712440335535,14.106637260122303,14.106637260222303,14.413282746369667,14.413282746469667,14.712369090668572,14.712369090768572,15.00489676768867,15.00489676778867,15.588562573576574,15.588562573676574,15.877310679622443,15.877310679722443,16.16250154239845,16.162501542498447,16.446636348578714,16.446636348678712,16.726713674154293,16.72671367425429,17.00501237809494,17.005012378194937,17.28025407610055,17.28025407620055,17.55477320906697,17.554773209166967,17.827235810768,17.827235810867997,18.0991981751342,18.0991981752342,18.37027122868294,18.37027122878294,18.638954259409743,18.63895425950974,18.904524702275413,18.90452470237541,19.167482794614777,19.167482794714775,19.42638340634946,19.426383406449457,19.68344981452311,19.68344981462311,19.940405058844586,19.940405058944584,20.19680448390514,20.19680448400514,20.44736780672608,20.44736780682608,20.69687507295128,20.696875073051277,20.94582651991556,20.945826520015558,21.19327725487537,21.193277254975367,21.43767098390014,21.43767098400014,21.68034167321607,21.680341673316068,21.920066520449147,21.920066520549145,22.15895763879085,22.158957638890847,22.39779317520646,22.397793175306457,22.635350327321962,22.63535032742196,22.872740733659192,22.87274073375919,23.108963919548497,23.108963919648495,23.342963828394137,23.342963828494135,23.575796516791854,23.575796516891852,23.80751756666774,23.80751756676774,24.03907187076535,24.03907187086535,24.270292683306412,24.27029268340641,24.499846038064724,24.499846038164723,24.728954737414305,24.728954737514304,24.95261640800691,24.95261640810691,25.174110383481942,25.17411038358194,25.393936901174225,25.393936901274223,25.61342992730996,25.613429927409957,26.05186016032051,26.051860160420507,26.27063062141705,26.27063062151705,26.48856735362222,26.488567353722217,26.706115012344746,26.706115012444744,26.922551032545442,26.92255103264544,27.137986578076486,27.137986578176484,27.353366541681442,27.35336654178144,27.56785719446893,27.56785719456893,27.782069937625963,27.78206993772596,27.992947765217497,27.992947765317496,28.2027139542872,28.2027139543872,28.412202233726447,28.412202233826445,28.620023055382944,28.620023055482942,28.827065730074157,28.827065730174155,29.033719331282732,29.03371933138273,29.240261768639122,29.24026176873912,29.445803731325864,29.445803731425862,29.65123453016042,29.651234530260417,29.85610950973406,29.85610950983406,30.058650048411856,30.058650048511854,30.260857095533105,30.260857095633103,30.462897396876073,30.46289739697607,30.66165836457964,30.66165836467964,30.860085840726654,30.860085840826653,31.057234932573564,31.057234932673563,31.253494713603008,31.253494713703006,31.449698912706364,31.44969891280636,31.644235654026968,31.644235654126966,31.838661231495387,31.838661231595385,32.03297564511163,32.03297564521163,32.22678982139304,32.22678982149304,32.420381669970084,32.420381670070086,32.61375119084277,32.61375119094277,32.80561999971098,32.80561999981098,32.996710661613896,32.9967106617139,33.18630061151235,33.18630061161235,33.375668233706435,33.37566823380644,33.56292374270904,33.56292374280904,33.74873412163326,33.748734121733264,33.931654240400725,33.93165424050073,34.11107269782441,34.11107269792441,34.289546262504544,34.289546262604546,34.46407351043217,34.464073510532174,34.63843401258153,34.63843401268153,34.81184962198732,34.81184962208732,34.98493173983657,34.98493173993657,35.157291292646626,35.15729129274663,35.328817116565304,35.328817116665306,35.49973153929698,35.49973153939698,35.670368052398196,35.6703680524982,35.84028200046022,35.84028200056022,36.009473383483055,36.00947338358306,36.17849802072761,36.17849802082761,36.34696683871125,36.346966838811255,36.51515774706444,36.515157747164444,36.85109490836208,36.85109490846208,37.01856325167607,37.01856325177607,37.18536461187697,37.18536461197697,37.35110991548213,37.35110991558213,37.51490985167407,37.51490985177407,37.67820955053119,37.678209550631195,37.840064119309936,37.84006411940994,38.00152961460604,38.001529614706044,38.16210579908468,38.16210579918468,38.32251523778504,38.32251523788504,38.48181303796357,38.48181303806357,38.640332691176816,38.64033269127682,38.7979074516465,38.797907451746504,38.955315466337915,38.955315466437916,39.11222324369451,39.11222324379451,39.268519619864094,39.268519619964096,39.42409343099448,39.424093431094484,39.5795004963466,39.5795004964466,39.7343517424378,39.734351742537804,39.88870275119418,39.88870275129418,40.04238677683745,40.042386776937455,40.19595963862855,40.19595963872855,40.50288303450637,40.50288303460637,40.65551100355391,40.65551100365391,40.807805481044895,40.8078054811449,40.95982204890542,40.959822049005425,41.1108937240224,41.1108937241224,41.26118725217409,41.26118725227409,41.411425198399684,41.411425198499686,41.561607562699194,41.561607562799196,41.710900616181235,41.710900616281236,41.85835946610225,41.85835946620225,42.00548482446672,42.00548482456672,42.15238785512682,42.15238785522682,42.29917972193474,42.299179722034744,42.44402622132945,42.44402622142945,42.58809457375888,42.58809457385888,42.731940598483945,42.73194059858395,42.87573104128292,42.87573104138292,43.018187517855694,43.018187517955695,43.160310502871916,43.16031050297192,43.30198883247941,43.30198883257941,43.5852899097683,43.5852899098683,43.726412420114876,43.72641242021488,43.867257020831,43.867257020931,44.00726789265574,44.00726789275574,44.146667363293474,44.146667363393476,44.2854554327442,44.2854554328442,44.42407675641665,44.424076756516655,44.561975515049916,44.56197551514992,44.699763109831,44.699763109931,44.837495122685986,44.83749512278599,44.97405991509305,44.97405991519305,45.11045796172184,45.110457961821844,45.24668926257235,45.246689262672355,45.3826982357185,45.3826982358185,45.65460501815861,45.654605018258614,45.79044724552649,45.79044724562649,45.92612272711609,45.92612272721609,46.196917871034366,46.19691787113437,46.33120380447168,46.33120380457168,46.46498950057416,46.464989500674164,46.598386123194004,46.598386123294006,46.731282508479026,46.73128250857903,46.86406772991186,46.86406773001186,46.99663062364033,46.99663062374033,47.128415370403516,47.12841537050352,47.258643823236135,47.258643823336136,47.38809412910347,47.38809412920347,47.516599542227254,47.516599542327256,47.64460471801621,47.64460471811621,47.77216523839644,47.77216523849644,47.8995034310723,47.8995034311723,48.02673045989597,48.026730459995974,48.15351283331091,48.153512833410915,48.27940589590839,48.27940589600839,48.40502104887541,48.405021048975414,48.530580619916336,48.53058062001634,48.65563995362244,48.65563995372244,48.779754394584984,48.779754394684986,48.90359092591707,48.903590926017074,49.026982801840425,49.02698280194043,49.27371097176105,49.27371097186105,49.39671377420176,49.39671377430176,49.5195498308642,49.5195498309642,49.64188565019181,49.64188565029181,49.76399914181506,49.763999141915065,49.885834723807854,49.885834723907855,50.00739239617018,50.007392396270184,50.12767168423241,50.12767168433241,50.247339571107624,50.247339571207625,50.36650722064802,50.36650722074802,50.485174632853585,50.48517463295359,50.603341807724334,50.603341807824336,50.7213422368168,50.721342236916804,50.83928708398318,50.83928708408318,50.95684285766691,50.956842857766915,51.074231885572374,51.074231885672376,51.19062043880819,51.19062043890819,51.30684224626573,51.30684224636573,51.42267498024062,51.422674980340624,51.53839655036334,51.53839655046334,51.76978410868268,51.76978410878268,52.00083817544546,52.00083817554546,52.115170197415885,52.11517019751589,52.343556331726276,52.34355633182628,52.457165788657505,52.45716578875751,52.57044175403219,52.57044175413219,52.68349539170251,52.68349539180251,52.7953818089249,52.7953818090249,52.90693473459074,52.90693473469074,53.0184320783305,53.0184320784305,53.12948476666151,53.129484766761514,53.2401483815099,53.2401483816099,53.35053408672781,53.350534086827814,53.46053071846309,53.46053071856309,53.56997153093746,53.56997153103746,53.679134433781364,53.679134433881366,53.78818617277308,53.78818617287308,53.89684883828216,53.89684883838216,54.005289176086876,54.00528917618688,54.11345160426113,54.11345160436113,54.22105821317447,54.221058213274475,54.32833133053126,54.328331330631265,54.435048628627136,54.43504862872714,54.54098777975773,54.54098777985773,54.75281050009282,54.75281050019282,54.85863848737123,54.85863848747123,54.964244146945276,54.96424414704528,55.06962747881495,55.06962747891495,55.280060650997754,55.280060651097756,55.49010474969791,55.490104749797915,55.59504342615885,55.595043426258854,55.699759774915435,55.69975977501544,55.80442054174592,55.80442054184592,55.90885898087203,55.908858980972035,56.01324183807206,56.013241838172064,56.11740236756772,56.11740236766772,56.22139615128511,56.221396151385115,56.42932813679379,56.429328136893794,56.533044010880715,56.53304401098072,56.636704303041554,56.636704303141556,56.74003110364584,56.74003110374584,56.843246740397944,56.843246740497946,56.946295631371775,56.94629563147178,57.049177776567326,57.04917777666733,57.151392938649785,57.15139293874979,57.25333019110178,57.25333019120178,57.35521186162768,57.35521186172768,57.45676004059704,57.45676004069704,57.5582526376403,57.5582526377403,57.65968965275748,57.65968965285748,57.76090434017028,57.76090434027028,57.8613408806178,57.861340880717805,57.96172183913924,57.96172183923924,58.06171372417803,58.06171372427803,58.16142769958636,58.161427699686364,58.26064143765987,58.26064143775987,58.35929935647246,58.359299356572464,58.45773494758068,58.457734947680684,58.55605937483673,58.55605937493673,58.654272638240585,58.654272638340586,58.752096828161804,58.752096828261806,58.84975427230475,58.84975427240475,58.94696706103896,58.94696706113896,59.04384635821662,59.04384635831662,59.140614491542095,59.1406144916421,59.23677122368057,59.23677122378057,59.3325388823364,59.3325388824364,59.427639557879125,59.42763955797913,59.522684651495766,59.52268465159577,59.61761858126022,59.61761858136022,59.71221901946812,59.712219019568124,59.80676387574994,59.80676387584994,59.995798006387474,59.995798006487476,60.08984262533446,60.089842625434464,60.18366491657709,60.18366491667709,60.37097600750578,60.37097600760578,60.46435364333967,60.46435364343967,60.55767569724747,60.55767569734747,60.650886587303084,60.650886587403086,60.743875149654336,60.74387514975434,60.83641905659685,60.836419056696855,60.928796217761096,60.9287962178611,61.02095105122097,61.02095105132097,61.11299472082866,61.11299472092866,61.20464931695371,61.204649317053715,61.29619274922658,61.29619274932658,61.38751385379508,61.38751385389508,61.47833472102875,61.47833472112875,61.56898884248416,61.56898884258416,61.65942063623519,61.65942063633519,61.749741266134045,61.74974126623405,61.83995073218071,61.83995073228071,62.02031408234796,62.02031408244796,62.11019005683808,62.11019005693808,62.199788121697736,62.19978812179774,62.28838571188775,62.28838571198775,62.376594228595124,62.376594228695126,62.46458041759813,62.46458041769813,62.55245544274895,62.55245544284895,62.63999697634322,62.63999697644322,62.727260600307034,62.727260600407035,62.814413060418666,62.81441306051867,62.90150993860421,62.90150993870421,62.9882177433071,62.988217743407105,63.07481438415782,63.07481438425782,63.160744041895434,63.160744041995436,63.24645137192868,63.24645137202868,63.33199195618366,63.33199195628366,63.41747695851254,63.41747695861254,63.502739633137054,63.502739633237056,63.58794672583548,63.58794672593548,63.673098236607814,63.673098236707816,63.75780509197141,63.757805092071415,63.84184496422191,63.841844964321915,63.92582925454632,63.925829254646324,64.00959121716636,64.00959121726636],[0.0,1e-10,1.1374841174646193,1.1374841175646193,2.1883160121524323,2.1883160122524323,3.1962942418236207,3.1962942419236207,4.186430673219405,4.186430673319405,5.1272659361719395,5.1272659362719395,6.037475557848001,6.037475557948001,6.943016297732369,6.943016297832369,7.81815372404463,7.81815372414463,8.68284174825167,8.68284174835167,9.511568266277445,9.511568266377445,10.324120443810564,10.324120443910564,11.13172582992153,11.13172583002153,11.915430987813107,11.915430987913107,12.655671079501053,12.655671079601053,13.393521148367059,13.393521148467059,14.125034877658623,14.125034877758623,14.85460323953698,14.85460323963698,15.582559725558681,15.582559725658681,16.301789849184,16.301789849284,17.017184819909,17.017184820009,17.722019224676597,17.722019224776595,18.4208507814263,18.420850781526298,19.07794031168121,19.07794031178121,19.719411320704378,19.719411320804376,20.357269504531594,20.357269504631592,20.984455958549223,20.98445595864922,21.608585406631814,21.608585406731812,22.196419856976586,22.196419857076584,22.78342057842999,22.783420578529988,23.35369114012982,23.353691140229817,23.919570729668408,23.919570729768406,24.471888329240652,24.47188832934065,25.02342778184761,25.023427781947607,25.57157673696298,25.57157673706298,26.114000753690917,26.114000753790915,26.653979165670822,26.65397916577082,27.190011260898228,27.190011260998226,27.719373524994637,27.719373525094635,28.241176647142588,28.241176647242586,28.75630993815955,28.756309938259548,29.265051307675975,29.265051307775973,29.77206963748356,29.77206963758356,30.266804361624903,30.2668043617249,30.757259277457194,30.757259277557193,31.24654697284156,31.24654697294156,31.734667447778,31.734667447878,32.21850811440539,32.21850811450539,32.701792961771865,32.70179296187187,33.17985310808572,33.179853108185725,33.654078101499266,33.65407810159927,34.588132369468624,34.588132369568626,35.04568278505469,35.04568278515469,35.502010398266734,35.502010398366735,35.95700404525258,35.95700404535258,36.408051375485925,36.40805137558593,36.85065025295334,36.850650253053345,37.29097027145101,37.29097027155101,37.730623306835575,37.73062330693558,38.16321743760651,38.163217437706514,38.59536691296871,38.59536691306871,39.027127314848265,39.02712731494827,39.45749816857553,39.457498168675535,39.883867123624206,39.88386712372421,40.30901327629886,40.309013276398865,40.7263779593207,40.7263779594207,41.1386846870682,41.1386846871682,41.55049117748087,41.550491177580874,41.959518571588966,41.95951857168897,42.36343242849663,42.36343242859663,42.761788092795136,42.76178809289514,43.15575278493241,43.15575278503241,43.547271872321645,43.547271872421646,43.93845746815433,43.938457468254335,44.32736420501727,44.32736420511727,44.714881393727914,44.714881393827916,45.102009508955916,45.10200950905592,45.486858765214166,45.48685876531417,45.871541275694135,45.87154127579414,46.25527889343055,46.25527889353055,46.63790487264513,46.63790487274513,47.014583585767916,47.01458358586792,47.386259925542454,47.386259925642456,47.754323440121034,47.754323440221036,48.120941824621234,48.120941824721235,48.4831692369602,48.4831692370602,48.845063157742615,48.84506315784262,49.202454942511615,49.20245494261162,49.55940207187188,49.55940207197188,49.91357010492756,49.91357010502756,50.26579277057004,50.26579277067004,50.615625413390575,50.61562541349058,50.965124564654566,50.96512456475457,51.30728690167446,51.30728690177446,51.64572524964622,51.64572524974622,51.98216264827868,51.98216264837868,52.31548745905002,52.31548745915002,52.644921534994936,52.64492153509494,52.97013138455689,52.970131384656895,53.29484099678403,53.294840996884034,53.61588220188912,53.61588220198912,53.936478751585476,53.93647875168548,54.25701971935574,54.25701971945574,54.57305855111258,54.57305855121258,54.88715201545622,54.887152015556225,55.197966146160454,55.197966146260455,55.50505628781655,55.50505628791655,55.809923152428986,55.80992315252899,56.11451210741096,56.11451210751096,56.417266858831915,56.41726685893192,56.7197992825485,56.7197992826485,57.02105332196498,57.02105332206498,57.322029451751,57.322029451851,57.62289441768483,57.622894417784835,57.9229256547273,57.9229256548273,58.22251223636103,58.22251223646103,58.521820908364305,58.521820908464306,58.819517704510915,58.81951770461092,59.11365725738767,59.113657257487674,59.40540678744249,59.40540678754249,59.693543492301345,59.693543492401346,59.980568558638375,59.980568558738376,60.26753804304931,60.267538043149315,60.55078353841211,60.550783538512114,60.82763711227438,60.82763711237438,61.103879284949635,61.103879285049636,61.37850958176824,61.378509581868244,61.652584059325925,61.65258405942593,61.92643620917924,61.926436209279245,62.20017719518038,62.20017719528038,62.47108350295085,62.47108350305085,62.74126724568212,62.74126724578212,63.0074490897348,63.0074490898348,63.27040718207416,63.27040718217416,63.53169781663078,63.531697816730784,63.78665211161295,63.786652111712954,64.03877172836445,64.03877172846445,64.2905578535594,64.29055785365941,64.54089884867598,64.54089884877598,64.78796051015316,64.78796051025316,65.03496658970423,65.03496658980423,65.2794159006551,65.2794159007551,65.5235317200494,65.5235317201494,65.76692497440452,65.76692497450452,66.01026264683355,66.01026264693355,66.25198844340592,66.25198844350592,66.48971234129971,66.48971234139971,66.72682483800648,66.72682483810648,66.96321476967405,66.96321476977405,67.1965476954066,67.1965476955066,67.42810199950421,67.42810199960421,67.65765535426252,67.65765535436252,67.88693079939037,67.88693079949037,68.11198201813527,68.11198201823527,68.33692207302798,68.33692207312798,68.78596845392202,68.78596845402203,69.00924105103199,69.009241051132,69.23179108310276,69.23179108320276,69.45217342005596,69.45217342015596,69.6702768980394,69.6702768981394,69.88826921217067,69.88826921227067,70.10403824925825,70.10403824935825,70.31713935389345,70.31713935399345,70.52762810800235,70.52762810810235,70.73611591277195,70.73611591287195,70.94321416938925,70.94321416948925,71.1466996008106,71.14669960091061,71.34812850096657,71.34812850106657,71.54750086985715,71.54750086995715,71.7443720520736,71.7443720521736,71.93935344880293,71.93935344890293,72.13422368168008,72.13422368178009,72.32725971099622,72.32725971109622,72.51707198859904,72.51707198869904,72.70543913612347,72.70543913622348,72.89336162823918,72.89336162833918,73.0811729565027,73.0811729566027,73.2683728835792,73.2683728836792,73.45346069746424,73.45346069756424,73.637770364384,73.637770364484,73.82146863011673,73.82146863021673,74.00488898621902,74.00488898631902,74.18786468691256,74.18786468701256,74.36928409367556,74.36928409377556,74.54781324028178,74.54781324038179,74.72628680496192,74.72628680506192,74.9043157142333,74.90431571433331,75.0803992560915,75.0803992561915,75.25359253779293,75.25359253789293,75.59936770000878,75.59936770010879,75.77183841667102,75.77183841677102,75.94269725747661,75.94269725757661,76.11327818865173,76.11327818875174,76.28330330056593,76.28330330066593,76.45260584744095,76.45260584754095,76.6216860666116,76.6216860667116,76.79054395807789,76.79054395817789,76.95662275323959,76.95662275333959,77.12008919787499,77.12008919797499,77.28316656902776,77.28316656912776,77.44579928477178,77.44579928487178,77.60704245236352,77.60704245246352,77.76711839950732,77.76711839960733,77.92586038042494,77.92586038052494,78.08349072282071,78.08349072292071,78.2410654832904,78.2410654833904,78.39508300049023,78.39508300059023,78.54654374908985,78.54654374918985,78.69744867842854,78.69744867852854,78.8473531330976,78.8473531331976,78.99508989264906,78.99508989274906,79.14260432449618,79.14260432459618,79.28706175040826,79.28706175050826,79.43051870165067,79.43051870175067,79.57319750592781,79.57319750602781,79.71520932709186,79.71520932719186,79.8564985832167,79.85649858331671,79.99773225741546,79.99773225751547,80.1377987111663,80.1377987112663,80.27758725528668,80.27758725538668,80.41670881629395,80.41670881639395,80.55527455804031,80.55527455814031,80.69345122630403,80.69345122640404,80.82951578137627,80.82951578147627,80.96541359067024,80.96541359077024,81.10019976144237,81.10019976154237,81.23354080213612,81.23354080223612,81.36621485971678,81.36621485981678,81.49761053299733,81.49761053309733,81.62833922316477,81.62833922326477,81.75879000370176,81.75879000380176,81.8888517107561,81.8888517108561,82.01885783588436,82.01885783598436,82.14858605138215,82.14858605148216,82.27825868495385,82.27825868505386,82.40587478726017,82.40587478736018,82.53321297993604,82.53321298003604,82.65993977142489,82.65993977152489,82.78605516172674,82.78605516182674,82.91061425809801,82.91061425819801,83.0350621906171,83.0350621907171,83.15895430387528,83.15895430397528,83.28251292557691,83.28251292567691,83.40495990875671,83.40495990885671,83.52690665460169,83.52690665470169,83.64879781852056,83.64879781862057,83.89169083554086,83.89169083564086,84.0125815247901,84.0125815248901,84.13330546826106,84.13330546836106,84.25380708402764,84.25380708412764,84.37419753594206,84.37419753604206,84.49353193126072,84.49353193136072,84.61269958080112,84.61269958090112,84.72969953522393,84.72969953532393,84.84664390772066,84.84664390782066,84.96258780554774,84.96258780564774,85.07836495759655,85.07836495769655,85.19258581571479,85.1925858158148,85.30141522700214,85.30141522710214,85.40991114673295,85.40991114683295,85.51779566527675,85.51779566537675,85.62545785611618,85.62545785621619,85.73228631806424,85.73228631816424,85.83828105112092,85.83828105122092,85.94399787454715,85.94399787464715,86.04782491248626,86.04782491258626,86.14981774686434,86.14981774696435,86.25097685235106,86.25097685245106,86.3499682627202,86.3499682628202,86.44862618153279,86.44862618163279,86.54706177264102,86.54706177274102,86.64349641440995,86.64349641450995,86.73959756462233,86.73959756472233,86.83492056786942,86.83492056796942,86.92857611333378,86.92857611343378,87.0217314214633,87.0217314215633,87.11471998381454,87.11471998391454,87.20754180038752,87.20754180048752,87.29869615917774,87.29869615927774,87.38979493604188,87.38979493614188,87.48011556594074,87.48011556604074,87.56926897539165,87.56926897549165,87.65719958246856,87.65719958256857,87.74468553413675,87.74468553423675,87.83206032195275,87.83206032205275,87.91598903035107,87.91598903045107,87.99963982911892,87.99963982921892],[0.0,1e-10,1.7026967238901123,1.7026967239901123,3.3764352642865005,3.3764352643865005,4.809281737001888,4.809281737101888,6.191270747343462,6.191270747443462,7.56614527114531,7.56614527124531,8.85192196742232,8.85192196752232,10.13519747702521,10.13519747712521,11.3476616127874,11.3476616128874,12.468082078941897,12.468082079041897,13.575885447873603,13.575885447973603,14.627717817231064,14.627717817331064,15.675048050575105,15.675048050675105,16.656402537648418,16.656402537748416,17.61963731681587,17.619637316915867,18.51033768243378,18.510337682533777,19.369022858622923,19.36902285872292,20.1845208782389,20.184520878338898,20.979342421348797,20.979342421448795,21.763214325018648,21.763214325118646,22.543862476975185,22.543862477075184,23.320564312179222,23.32056431227922,24.08025807799923,24.080258078099227,24.824666814144045,24.824666814244043,25.552567718239654,25.552567718339652,26.279245819961247,26.279245820061245,26.971185217875593,26.97118521797559,27.65072984627151,27.650729846371508,28.325494429023546,28.325494429123545,28.996034785392624,28.996034785492622,29.665296757461597,29.665296757561595,31.001708588408057,31.001708588508055,31.66135488726318,31.661354887363178,32.31077411171745,32.31077411181745,32.953245595410266,32.95324559551027,33.5929379827985,33.592937982898505,34.21962419948131,34.21962419958131,34.84480970415964,34.84480970425964,35.43764652785266,35.43764652795266,36.02803774679765,36.02803774689765,36.61781756455563,36.61781756465563,37.206485743791774,37.206485743891776,37.79187458938852,37.79187458948852,38.36798125332797,38.36798125342797,38.941642312519384,38.941642312619386,39.50513187923604,39.50513187933604,40.067787717061314,40.067787717161316,40.625997000799266,40.62599700089927,41.176091323327846,41.17609132342785,41.7018407622283,41.7018407623283,42.22303248318924,42.223032483289245,42.73911066694976,42.739110667049765,43.2537437206319,43.253743720731904,43.761873688961316,43.76187368906132,44.26766921639489,44.267669216494895,44.74706332893495,44.74706332903495,45.215063146626235,45.21506314672624,45.67500358503423,45.675003585134235,46.132554000620296,46.1325540007203,46.58860370420188,46.58860370430188,47.042708040370265,47.042708040470266,47.49653446690819,47.49653446700819,47.94986065611129,47.94986065621129,48.401574969457734,48.401574969557736,48.85290020932153,48.852900209421534,49.299667731245826,49.29966773134583,49.74348941108726,49.74348941118726,50.18458757655021,50.18458757665021,50.62107244214755,50.62107244224755,51.055667522257785,51.05566752235779,51.48698326872861,51.48698326882861,51.905570754124454,51.905570754224456,52.32321334677675,52.32321334687675,52.73929964549848,52.73929964559848,53.148549367310935,53.148549367410936,53.55729885178857,53.557298851888575,53.96237992914416,53.962379929244165,54.3671275149432,54.3671275150432,54.766150162354805,54.76615016245481,55.1586141424876,55.1586141425876,55.54635365890261,55.54635365900261,55.93275920909142,55.932759209191424,56.318497776167135,56.31849777626714,56.69767767596404,56.69767767606404,57.07218869396925,57.072188694069254,57.44380945181769,57.443809451917694,57.81392949766167,57.81392949776167,58.18143719297934,58.18143719307934,58.54844465096218,58.548444651062184,58.913173249975266,58.91317325007527,59.27590089964905,59.275900899749054,59.62595587017396,59.62595587027396,59.97439896484221,59.97439896494221,60.321396929432076,60.32139692953208,60.66644952660874,60.66644952670874,61.00238668790637,61.002386688006375,61.33754570223873,61.33754570233873,61.67120400456661,61.67120400466661,62.002083210589916,62.00208321068992,62.327404224004056,62.32740422410406,62.651224525413724,62.651224525513726,62.97493366297121,62.97493366307121,63.298531636676515,63.29853163677652,63.62196286460354,63.62196286470354,63.94461594556528,63.944615945665284,64.26371178325716,64.26371178335717,64.58230738361422,64.58230738371422,64.89389966128374,64.89389966138374,65.20115654871812,65.20115654881812,65.5050229386609,65.5050229387609,65.80755536237749,65.80755536247749,66.10964313068534,66.10964313078534,66.40717318105368,66.40717318115368,66.70353601097409,66.70353601107409,66.99889836622486,66.99889836632487,67.29231535406242,67.29231535416243,67.58145253359093,67.58145253369094,67.87047854926726,67.87047854936726,68.15466893737361,68.15466893747362,68.43702512191895,68.43702512201895,68.7193257245382,68.7193257246382,68.99667953573528,68.99667953583528,69.27014261210597,69.27014261220597,69.54355010655055,69.54355010665056,69.80817565667266,69.80817565677266,70.06885489004227,70.06885489014228,70.32847806681615,70.32847806691615,70.587489842403,70.587489842503,70.84505648791149,70.8450564880115,71.10217847801124,71.10217847811124,71.3591337223327,71.3591337224327,71.61481058235407,71.61481058245407,71.87037627852325,71.87037627862325,72.12560848313589,72.1256084832359,72.37883973840923,72.37883973850923,72.63173750212601,72.63173750222602,72.88291222613395,72.88291222623396,73.13386462243753,73.13386462253753,73.38381654407146,73.38381654417147,73.63226775370092,73.63226775380092,73.87971848866073,73.87971848876073,74.12577967546825,74.12577967556825,74.37128504301485,74.37128504311485,74.61551202626134,74.61551202636134,74.85684874935109,74.85684874945109,75.09662917851026,75.09662917861026,75.33607611611286,75.33607611621287,75.57352210437618,75.57352210447618,75.8097452902655,75.8097452903655,76.04469009185469,76.04469009195469,76.27924581996125,76.27924582006125,76.51263432761988,76.51263432771988,76.74568934372196,76.74568934382197,76.97791063093267,76.97791063103267,77.20940935310419,77.2094093532042,77.43912945364079,77.43912945374079,77.66857164454692,77.66857164464692,78.12706695287653,78.12706695297653,78.35461935829555,78.35461935839555,78.58044872400572,78.58044872410572,78.79871894776744,78.79871894786744,79.01487705833767,79.01487705843768,79.22908980149471,79.22908980159471,79.43841133515568,79.43841133525568,79.64728821340792,79.64728821350792,79.85605392780798,79.85605392790798,80.0636524217601,80.0636524218601,80.27091742415568,80.27091742425569,80.4772931157338,80.4772931158338,80.68211251338136,80.68211251348136,80.88682074717671,80.88682074727672,81.08552613295419,81.08552613305419,81.28273080672719,81.28273080682719,81.47954640701755,81.47954640711755,81.67452780374688,81.67452780384689,81.86773057884129,81.86773057894129,82.05876565881813,82.05876565891813,82.24635465937729,82.24635465947729,82.43372133223207,82.43372133233207,82.62053218582594,82.62053218592594,82.79728271079723,82.79728271089724,82.97303276109888,82.97303276119888,83.14856048369616,83.14856048379616,83.32375471473688,83.32375471483688,83.49878219999934,83.49878220009934,83.67308712022259,83.67308712032259,83.84722529466758,83.84722529476758,84.01997392096028,84.01997392106028,84.19005461480057,84.19005461490057,84.35891250626686,84.35891250636686,84.52599177609821,84.52599177619821,84.6928487182252,84.69284871832521,84.85948333264783,84.85948333274783,85.02200488453967,85.02200488463967,85.18397061717059,85.18397061727059,85.3421011969012,85.3421011970012,85.49900897425779,85.49900897435779,85.65530535042737,85.65530535052737,85.81143498081867,85.81143498091868,85.96300689327047,85.96300689337048,86.11302251179171,86.11302251189171,86.26203765564328,86.26203765574328,86.41094163564269,86.41094163574269,86.55873397712026,86.55873397722026,86.70291349340187,86.70291349350187,86.84403600374844,86.84403600384844,86.98510293216893,86.98510293226893,87.12350192813702,87.12350192823702,87.261233940992,87.261233941092,87.39768756954689,87.39768756964689,87.5332518872843,87.5332518873843,87.66870504116953,87.66870504126953,87.80410261312868,87.80410261322868,87.93799947308334,87.93799947318334,88.06972863792043,88.06972863802044,88.2010131473488,88.2010131474488,88.32974088817694,88.32974088827694,88.45785722781808,88.45785722791808,88.58552891205049,88.5855289121505,88.84070553473704,88.84070553483704,88.96787698163462,88.96787698173462,89.09482610082783,89.09482610092783,89.2213861465384,89.22138614663841,89.34600082483578,89.34600082493579,89.4702820115766,89.4702820116766,89.59295132246076,89.59295132256076,89.83806761652473,89.83806761662473,89.95951412503487,89.95951412513487,90.08068272391456,90.08068272401457,90.20079526619853,90.20079526629853,90.31974058803455,90.31974058813455,90.43746310749655,90.43746310759656,90.55507446310638,90.55507446320638,90.78879646232157,90.78879646242157,90.90412895896164,90.90412895906164,91.01923912789735,91.01923912799735,91.13384905949823,91.13384905959823,91.24768084413382,91.24768084423383,91.36090122758242,91.36090122768242,91.47367695562228,91.47367695572228,91.58434057047066,91.58434057057066,91.69339230946238,91.69339230956238,91.80216613882364,91.80216613892364,91.9083276176586,91.9083276177586,92.01359978567609,92.0135997857761,92.11770473324566,92.11770473334566,92.22069804229339,92.2206980423934,92.42640675075842,92.42640675085842,92.52767702009731,92.52767702019732,92.62794681476656,92.62794681486656,92.72816102750971,92.72816102760972,92.82787500291805,92.82787500301805,92.92581035669146,92.92581035679146,93.02369012853876,93.02369012863876,93.12123640882952,93.12123640892952,93.2187271071942,93.2187271072942,93.31316079962382,93.31316079972382,93.40737216434908,93.40737216444909,93.50147236522217,93.50147236532217,93.59490558298215,93.59490558308215,93.68739390799857,93.68739390809857,93.77982665108891,93.77982665118891,93.87198148454878,93.87198148464878,93.96396957223038,93.96396957233038,94.05440136598142,94.05440136608142,94.14411059469326,94.14411059479326,94.23304167643983,94.23304167653983,94.32141693892547,94.32141693902547,94.40956987370674,94.40956987380675,94.49666675189229,94.4966667519923,94.58359688429955,94.58359688439955,94.67041585285463,94.67041585295463,94.75634551059225,94.75634551069226,94.84155260329067,94.84155260339067,94.92653736828473,94.92653736838473,95.0114109694266,95.01141096952661,95.0954508416771,95.09545084177711],[0.0,1e-10,4.98636575352973,4.98636575362973,9.34198780977197,9.34198780987197,13.474337268904247,13.474337269004247,16.9410931630896,16.9410931631896,20.284735090982053,20.28473509108205,23.578853522726895,23.578853522826893,26.781650849903233,26.78165085000323,29.53907020330757,29.53907020340757,32.24146344988122,32.241463449981225,34.84686623542503,34.846866235525034,37.43526095158481,37.43526095168481,39.973687516188235,39.97368751628824,42.44825044771242,42.44825044781242,44.80536876940504,44.805368769505044,47.10923960590191,47.109239606001914,49.33173850260068,49.33173850270068,51.3308536383373,51.330853638437304,53.190458139584,53.190458139684004,54.951849377426846,54.95184937752685,56.70245772160792,56.70245772170792,58.37997583297854,58.37997583307854,59.74957007380168,59.74957007390168,61.08309164459138,61.08309164469138,62.36675622767691,62.36675622777691,63.60878994811983,63.60878994821983,64.7757880683391,64.7757880684391,65.9418412958148,65.9418412959148,67.09622231881126,67.09622231891126,68.24932495750761,68.24932495760761,69.28125899732429,69.28125899742429,70.30263247118356,70.30263247128356,71.31227815863748,71.31227815873748,72.31619890770399,72.316198907804,73.30322275123865,73.30322275133865,74.28391025519886,74.28391025529886,75.25225857156673,75.25225857166673,76.17275084956974,76.17275084966974,77.0597828080656,77.05978280816561,77.93714351142152,77.93714351152153,78.72918595822685,78.72918595832685,79.49755050451715,79.49755050461715,80.26547039539871,80.26547039549871,81.03133375501488,81.03133375511489,81.7883040064564,81.7883040065564,82.53993839299312,82.53993839309312,83.27778846185913,83.27778846195913,84.00541145632428,84.00541145642428,84.7271983485498,84.72719834864981,85.44770685647524,85.44770685657524,86.16699256202665,86.16699256212665,86.87710724977295,86.87710724987295,87.58661053633224,87.58661053643225,88.25370481328363,88.25370481338364,88.90034494143332,88.90034494153332,89.41481124933719,89.4148112494372,89.92911081146278,89.92911081156278,90.44124267847079,90.44124267857079,90.94331421685622,90.94331421695622,91.43232400261013,91.43232400271013,91.92005540406393,91.92005540416393,92.35843005514839,92.35843005524839,92.7931362991108,92.7931362992108,93.21850477948982,93.21850477958982,93.6031872899698,93.6031872900698,93.93906886934134,93.93906886944134,94.24187920268838,94.24187920278838,94.53902017957408,94.53902017967408,94.82298823997608,94.82298824007609,95.09956390420788,95.09956390430789,95.37297139865247,95.37297139875247,95.6354848355831,95.6354848356831,95.89193984256976,95.89193984266976,96.14567133517791,96.14567133527791,96.38317290536732,96.38317290546732,96.5951067895546,96.59510678965461,96.79192238984496,96.79192238994496,96.98412469026972,96.98412469036973,97.16893459452429,97.16893459462429,97.32523097069388,97.32523097079388,97.4726342386888,97.4726342387888,97.61592444415295,97.61592444425295,97.75137759803818,97.75137759813818,97.88232861591,97.88232861601,98.01150101214688,98.01150101224688,98.11532805008599,98.115328050186,98.20214701864107,98.20214701874107],[0.0,1e-10,1.176280301876557,1.176280301976557,1.981217755535126,1.981217755635126,2.7682578289921995,2.7682578290921995,3.552685551922968,3.552685552022968,4.2550187700164415,4.2550187701164415,4.910496424414695,4.910496424514695,5.549021591355009,5.549021591455009,6.1790983055294015,6.1790983056294015,6.769545106400481,6.769545106500481,7.353322076140569,7.353322076240569,7.92959548585829,7.9295954859582904,8.437836618039892,8.437836618139892,8.945521930960577,8.945521931060577,9.450150237946225,9.450150238046225,9.947664058392148,9.947664058492148,10.435506623698132,10.435506623798132,10.922181968556194,10.922181968656194,11.404799832809566,11.404799832909566,11.864684689291474,11.864684689391474,12.309618007654743,12.309618007754743,12.741211663756026,12.741211663856026,13.172527410226852,13.172527410326852,13.600619404984364,13.600619405084364,14.026599286550397,14.026599286650397,14.451411947668506,14.451411947768506,14.862384709189804,14.862384709289804,15.6817178817061,15.6817178818061,16.08724361447042,16.08724361457042,16.49126863523027,16.491268635330268,16.89390410783783,16.89390410793783,17.295817015406197,17.295817015506195,17.693505696591604,17.693505696691602,18.09002715732909,18.090027157429088,18.47860040263547,18.47860040273547,18.864227805859002,18.864227805959,19.244074688769004,19.244074688869002,19.621086893448336,19.621086893548334,19.99759886079284,19.99759886089284,20.372999189615516,20.372999189715514,20.744619947463963,20.74461994756396,21.112683462042547,21.112683462142545,21.474688546677147,21.474688546777145,21.831580094111317,21.831580094211315,22.185914872945276,22.185914873045274,22.53947150481395,22.539471504913948,22.889582057264946,22.889582057364944,23.23713584111573,23.23713584121573,23.58418938763169,23.584189387731687,23.926629634282044,23.926629634382042,24.261010501649114,24.261010501749112,24.590722487224493,24.59072248732449,24.914987444042897,24.914987444142895,25.237751688856825,25.237751688956823,25.55834823855318,25.558348238653178,25.87633243772323,25.87633243782323,26.19248243333226,26.192482433432257,26.50696497115854,26.506964971258537,26.8208916897239,26.8208916898239,27.133373278210886,27.133373278310884,27.44352042580202,27.44352042590202,27.752945008353965,27.752945008453963,28.059090257266504,28.059090257366503,28.363512466470205,28.363512466570203,28.66715652870862,28.66715652880862,28.96980011627739,28.96980011637739,29.270887409915595,29.270887410015593,29.571863539701614,29.571863539801612,29.87233943215281,29.872339432252808,30.169980646373336,30.169980646473334,30.463230888432623,30.46323088853262,31.047396931655353,31.04739693175535,31.33714551237087,31.33714551247087,31.626449437677653,31.62644943777765,31.915531035280072,31.91553103538007,32.20416797747376,32.20416797757376,32.492304682332616,32.49230468243262,32.77960765830011,32.77960765840011,33.06274198981072,33.06274198991072,33.34559841169088,33.34559841179088,33.62712086734484,33.627120867444845,33.90825424951616,33.908254249616164,34.18705319079163,34.18705319089163,34.46240605264942,34.46240605274942,34.73570238324183,34.73570238334183,35.00894313190814,35.00894313200814,35.28062758664389,35.28062758674389,35.54964410892723,35.549644109027234,35.81816039387576,35.81816039397576,36.08645435111992,36.08645435121992,36.35469272643799,36.35469272653799,36.622486446347324,36.622486446447326,36.88927969158701,36.88927969168701,37.1527380212612,37.1527380213612,37.41375074618736,37.41375074628736,37.6735962506656,37.6735962507656,38.1923979488046,38.1923979489046,38.44751898956505,38.44751898966505,38.70230653876895,38.70230653886895,38.95576012174665,38.95576012184665,39.20804648427643,39.20804648437643,39.459832609471384,39.459832609571386,39.71139640696197,39.71139640706197,39.95968087081315,39.959680870913154,40.207854170812155,40.20785417091216,40.455693979254605,40.455693979354606,40.950595449174216,40.95059544927422,41.19710129139047,41.19710129149047,41.44349596975454,41.44349596985454,41.68933482885769,41.68933482895769,41.93472903255211,41.934729032652115,42.17934508928125,42.17934508938125,42.42029273888834,42.420292738988344,42.658739201821305,42.65873920192131,42.89657426356727,42.89657426366727,43.13429816146105,43.13429816156105,43.369854364237256,43.36985436433726,43.603798691156804,43.603798691256806,43.837353944593715,43.83735394469372,44.07024221491752,44.07024221501752,44.30279699368478,44.30279699378478,44.53412897007803,44.53412897017803,44.76529420069299,44.765294200792994,44.99479197352522,44.99479197362522,45.2218997235355,45.2218997236355,45.44867398198923,45.44867398208923,45.674392183847225,45.674392183947226,45.89377404613077,45.893774046230774,46.11232217952295,46.11232217962295,46.32864703587146,46.328647035971464,46.54436049103297,46.54436049113297,46.755627392107144,46.755627392207145,46.966616383550864,46.966616383650866,47.177549793068486,47.17754979316849,47.3819801172334,47.3819801173334,47.58618811369394,47.586188113793945,47.78867307044565,47.78867307054565,47.990713371788615,47.99071337188862,48.19253134542722,48.19253134552722,48.39379349980491,48.39379349990491,48.5930547048433,48.5930547049433,48.79048170632066,48.790481706420664,48.98674148735011,48.98674148745011,49.37831615666544,49.37831615676544,49.57329755339478,49.57329755349478,49.767667548937105,49.76766754903711,49.9609259059576,49.960925906057604,50.15301704253018,50.15301704263018,50.34488585139839,50.34488585149839,50.5340867278142,50.5340867279142,50.722898530747365,50.72289853084737,50.91043194938043,50.91043194948043,51.09374114163053,51.09374114173053,51.27616102306317,51.27616102316317,51.45830299486534,51.458302994965344,51.64000031125879,51.64000031135879,51.8212529722435,51.8212529723435,52.00167190433684,52.00167190443684,52.181868508725806,52.18186850882581,52.36173162155823,52.36173162165823,52.539927276607905,52.53992727670791,52.716733383505286,52.71673338360529,53.0693451226304,53.069345122730404,53.24487284522768,53.244872845327684,53.41951125700749,53.419511257107494,53.59409408686121,53.59409408696121,53.76800993360183,53.76800993370183,53.9403139044858,53.9403139045858,54.1116729826262,54.111672982726205,54.28269856921006,54.282698569310064,54.45277926305036,54.45277926315036,54.62263762918629,54.622637629286295,54.79038388213075,54.79038388223075,54.9580745531491,54.958074553249105,55.12520940490655,55.12520940500655,55.29223309281181,55.292233092911815,55.45881212530834,55.45881212540834,55.62250089764811,55.62250089774811,55.78613408806178,55.78613408816178,55.94915587728845,55.94915587738845,56.11206650266293,56.11206650276293,56.27414339914604,56.27414339924604,56.435330984811685,56.43533098491169,56.756427771842866,56.75642777194287,56.91589231779967,56.91589231789967,57.075134536052104,57.075134536152106,57.23365418926535,57.23365418936535,57.389728237730566,57.38972823783057,57.54530204886096,57.54530204896096,57.70015329495216,57.70015329505216,57.85444872178245,57.85444872188245,58.008299493204,58.008299493304,58.16137211766027,58.16137211776027,58.31383334092953,58.31383334102953,58.4655719991596,58.4655719992596,58.61686600198094,58.61686600208094,58.767993259024,58.767993259124005,58.91834236910179,58.91834236920179,59.06808007799256,59.068080078092564,59.21742871340069,59.217428713500695,59.36499872717389,59.36499872727389,59.51079011931216,59.510790119412164,59.65641476567216,59.65641476577216,59.80120568314078,59.80120568324078,59.94566310905285,59.945663109152854,60.089953789186644,60.089953789286646,60.23346632235516,60.233466322455165,60.3754781435192,60.375478143619205,60.517100891200606,60.51710089130061,60.658390147325456,60.65839014742546,60.799623821524214,60.799623821624216,60.94035725838815,60.94035725848815,61.08103511332599,61.08103511342599,61.21821130692006,61.21821130702006,61.35527633666195,61.35527633676195,61.4919522929212,61.4919522930212,61.62812801184562,61.62812801194562,61.763358838026484,61.763358838126486,61.897644771463796,61.8976447715638,62.030152083266174,62.030152083366175,62.16249264929027,62.16249264939027,62.294722051462195,62.294722051562196,62.425950978964465,62.42595097906447,62.556957578762365,62.55695757886237,62.68785301470809,62.68785301480809,62.81852612294944,62.818526123049445,62.94875457578207,62.94875457588207,63.07859395513204,63.078593955232044,63.20837775255593,63.208377752655935,63.46755627392107,63.46755627402107,63.596395178601405,63.59639517870141,63.72506733750346,63.72506733760346,63.85301693136633,63.85301693146633,63.97863208433334,63.97863208443334,64.10413607344817,64.10413607354818,64.22919540715428,64.22919540725428,64.35292077463419,64.35292077473419,64.4752565939618,64.4752565940618,64.59742566751115,64.59742566761115,64.71926124950393,64.71926124960393,64.84076333994017,64.84076334004017,64.96187635689377,64.96187635699377,65.08260030036473,65.08260030046473,65.20315749805741,65.20315749815741,65.32327004034136,65.32327004044136,65.44321583684703,65.44321583694703,65.56310605142662,65.56310605152662,65.68294068408011,65.68294068418011,65.80260857095533,65.80260857105533,65.9219985482001,65.9219985483001,66.04133294351875,66.04133294361876,66.1602226834287,66.1602226835287,66.27850102215162,66.27850102225162,66.39616795968755,66.39616795978755,66.513556987593,66.51355698769301,66.6307792697202,66.6307792698202,66.74739015066037,66.74739015076037,66.86394544967446,66.86394544977446,67.09677813807217,67.09677813817217,67.32883267950461,67.32883267960462,67.44410959421859,67.44410959431859,67.55905301737602,67.55905301747602,67.67316271164208,67.67316271174208,67.78721682398205,67.78721682408205,67.90115977246982,67.90115977256983,68.01460248362278,68.01460248372278,68.12793403092356,68.12793403102356,68.24076534088951,68.24076534098951,68.35320757737281,68.35320757747282,68.46542748615177,68.46542748625177,68.68908915674437,68.68908915684437,68.80014184507539,68.80014184517539,68.9098605671802,68.9098605672802,69.01919021580238,69.01919021590238,69.12846428249847,69.12846428259847,69.34695683396455,69.34695683406456,69.4552860079171,69.4552860080171,69.5630037806826,69.56300378078261,69.67022131611331,69.67022131621331,69.77699419613528,69.77699419623528,69.88371149423115,69.88371149433115,69.99037321040093,69.99037321050093,70.0965346892359,70.0965346893359,70.20219593073602,70.20219593083603,70.30769042645788,70.30769042655788,70.4127958486971,70.4127958487971,70.51773452515805,70.51773452525805,70.62245087391463,70.62245087401463,70.72666698533638,70.72666698543638,70.83060518712767,70.83060518722768,70.93448780699288,70.93448780709288,71.14180839131454,71.14180839141454,71.2446905365101,71.24469053661011,71.34751709977957,71.34751709987957,71.44995458956639,71.44995458966639,71.55194742394447,71.55194742404447,71.65355118483991,71.65355118493991,71.7549881999571,71.7549882000571,71.8562028873699,71.8562028874699,71.95719524707833,71.95719524717833,72.05779853330414,72.05779853340414,72.15829065567775,72.15829065577775,72.2586160322731,72.2586160323731,72.3585523353858,72.3585523354858,72.45732141805057,72.45732141815057,72.65441492797139,72.65441492807139,72.75262819137524,72.75262819147524,72.85045238129646,72.85045238139647,72.94772075195677,72.94772075205677,73.0447667949127,73.0447667950127,73.14159051016426,73.14159051026427,73.237302586894,73.237302586994,73.3326811720672,73.3326811721672,73.42800417531429,73.42800417541429,73.52299368700483,73.52299368710483,73.6179276167693,73.6179276168693,73.71247247305111,73.71247247315111,73.80685058355465,73.80685058365465,73.90100636635381,73.90100636645381,73.99477307567035,73.99477307577035,74.0884286211347,74.0884286212347,74.18197300274686,74.18197300284686,74.27529505665466,74.27529505675466,74.36767221781889,74.3676722179189,74.45954914164831,74.45954914174831,74.55125931969945,74.55125931979946,74.64274717004623,74.64274717014624,74.73390152883645,74.73390152893646,74.8250003057006,74.8250003058006,74.91582117293427,74.91582117303427,75.0063085486114,75.0063085487114,75.09446148339268,75.09446148349268,75.18255883624786,75.18255883634787,75.2703226975465,75.2703226976465,75.35803097691905,75.35803097701906,75.44529460088286,75.44529460098286,75.61893253799303,75.61893253809303,75.70413963069144,75.70413963079145,75.7891799776116,75.7891799777116,75.8738868329752,75.8738868330752,75.95826019678225,75.95826019688225,76.04241123288493,76.04241123298493,76.12622877743107,76.12622877753107,76.20993515812502,76.20993515822502],[0.0,1e-10,3.0846857342316856,3.0846857343316856,6.027192901521055,6.027192901621055,8.655884514097243,8.655884514197243,11.263788486315175,11.263788486415175,13.833118601825532,13.833118601925532,16.0781281785914,16.078128178691397,18.205470817821343,18.20547081792134,20.303910855483657,20.303910855583656,22.39501407890188,22.39501407900188,24.38468028720293,24.384680287302928,26.260070055459646,26.260070055559645,27.8572722836279,27.857272283727898,29.442246488056,29.442246488155998,30.98370004435438,30.983700044454377,32.45361966177286,32.453619661872864,33.89213549094959,33.892135491049594,35.26172973177274,35.26172973187274,36.62937860518268,36.62937860528268,37.98685598611786,37.98685598621786,39.31965499186836,39.31965499196836,40.64017039195263,40.64017039205263,41.960129972775974,41.960129972875976,43.23167769597353,43.23167769607353,44.41596179520728,44.41596179530728,45.578791270969674,45.578791271069676,46.67842409676591,46.67842409686591,47.721252194096536,47.72125219419654,48.76202376016177,48.76202376026177,49.79451361923935,49.794513619339355,50.803381159728005,50.80338115982801,51.799687184919954,51.799687185019955,52.79521506314663,52.79521506324663,53.760450791653376,53.76045079175338,54.710512654337116,54.71051265443712,55.64578972468049,55.64578972478049,56.532543773545896,56.5325437736459,57.38433679089968,57.38433679099968,58.23023812408776,58.230238124187764,59.06863589725347,59.068635897353474,59.89708450564879,59.89708450574879,60.712638107190855,60.71263810729086,61.525190284723976,61.52519028482398,62.32862702637807,62.328627026478074,63.12433788030543,63.124337880405434,63.914101468141,63.914101468241,64.69319332616698,64.69319332626698,65.46617117232287,65.46617117242288,66.2337019897218,66.2337019898218,66.99489646754627,66.99489646764627,67.75425674180973,67.75425674190973,68.50761416805528,68.50761416815529,69.2554134016917,69.2554134017917,69.99359696211425,69.99359696221426,70.71310499537003,70.71310499547003,71.40009760186221,71.40009760196222,72.07675197010137,72.07675197020137,72.75073840588813,72.75073840598813,73.42294622003995,73.42294622013995,74.06213837009336,74.06213837019337,74.70027446355104,74.70027446365104,75.31751175279827,75.31751175289827,75.92163170748789,75.92163170758789,76.51708088170722,76.51708088180722,77.10419276701279,77.10419276711279,77.65634362080677,77.65634362090677,78.20221371695237,78.20221371705237,78.74374842286285,78.74374842296285,79.27866887956841,79.27866887966842,79.81186629656514,79.81186629666514,80.32327559853397,80.32327559863397,80.81906637927105,80.81906637937105,81.31102200710782,81.31102200720782,81.77729878509025,81.77729878519025,82.24129670410295,82.24129670420295,82.70340483762853,82.70340483772853,83.16028827010147,83.16028827020148,83.6167826290918,83.6167826291918,84.06299433175518,84.06299433185518,84.5089281247881,84.5089281248881,84.95152700225552,84.95152700235552,85.39234725808801,85.39234725818801,85.82949910679845,85.82949910689845,86.26470558809568,86.26470558819568,86.69796670197972,86.69796670207973,87.11677651507993,87.11677651517994,87.5134091396696,87.5134091397696,87.90270495001518,87.90270495011518,88.28755420627343,88.28755420637343,88.67145856978811,88.67145856988812,89.05169452618075,89.05169452628076,89.42053618772462,89.42053618782462,89.77815030019798,89.77815030029798,90.13415253681468,90.13415253691468,90.48098375562628,90.48098375572629,90.82131188908515,90.82131188918515,91.1598614009091,91.1598614010091,91.495353906798,91.495353906898,91.8282340621606,91.8282340622606,92.15461113217049,92.15461113227049,92.4768751396496,92.4768751397496,92.794470265337,92.794470265437,93.09700268905358,93.09700268915358,93.39375459245665,93.39375459255665,93.68706041644202,93.68706041654202,93.97141755032665,93.97141755042665,94.24432480743641,94.24432480753642,94.51539786098516,94.51539786108516,94.78024573881163,94.78024573891163,95.04359290463364,95.04359290473364,95.29571252138514,95.29571252148514,95.5461646803539,95.5461646804539,95.79261494064406,95.79261494074406,96.03711983352102,96.03711983362102,96.28001285054131,96.28001285064131,96.51334577627385,96.51334577637385,96.74590055504112,96.74590055514112,96.97801067839964,96.97801067849964,97.2092870728668,97.2092870729668,97.43861809992075,97.43861810002075,97.66300233555253,97.66300233565254,97.88527445799285,97.88527445809285,98.10293328056756,98.10293328066756,98.31458925512437,98.31458925522438,98.52468893575063,98.52468893585063,98.7333434862985,98.7333434863985,98.94066407062017,98.94066407072017,99.14715092605047,99.14715092615047,99.34546723834531,99.34546723844531,99.54178260130084,99.54178260140084,99.73737539921719,99.73737539931719,99.92957769964194,99.92957769974194,100.11699995442282,100.11699995452283,100.30197660445567,100.30197660455568,100.48322926544039,100.48322926554039,100.66170283012052,100.66170283022052,100.83611891419596,100.83611891429597,101.00770032004073,101.00770032014073,101.17578006454173,101.17578006464173,101.34347073556009,101.34347073566009,101.50982744035225,101.50982744045226,101.67429435965731,101.67429435975731,101.83387006946629,101.83387006956629,101.98844340592703,101.98844340602703,102.13929275333965,102.13929275343965,102.2898086091957,102.2898086092957,102.43860142534291,102.43860142544291,102.58706074993358,102.58706075003359,102.73168492162392,102.73168492172393,102.87508629094026,102.87508629104026,103.01615321936075,103.01615321946075,103.29011653306624,103.29011653316624,103.42184569790334,103.42184569800334,103.55196298688378,103.55196298698378,103.68185794815984,103.68185794825985,103.80808450231387,103.80808450241388,103.92986450238057,103.92986450248057,104.05136659281682,104.05136659291682,104.1712568073964,104.1712568074964,104.28664488596256,104.28664488606256,104.40025434289379,104.40025434299379,104.51364147212067,104.51364147222067,104.62641720016052,104.62641720026052,104.73824803545682,104.73824803555682,104.84996770690094,104.84996770700094,104.96052015789714,104.96052015799714,105.07023888000195,105.07023888010195,105.17673385039346,105.17673385049346,105.28289532922842,105.28289532932843,105.38883448035901,105.38883448045901,105.49210569903721,105.49210569913721,105.5947099346023,105.59470993470231,105.69620253164557,105.69620253174557,105.79680581787137,105.79680581797138,105.89713119446671,105.89713119456671,105.99289885312254,105.99289885322254,106.08833302022181,106.08833302032181,106.18282229457753,106.18282229467754,106.27553294729833,106.27553294739833,106.36785452653648,106.36785452663648,106.46000935999635,106.46000936009635,106.55116371878658,106.55116371888658,106.6403727101636,106.6403727102636,106.72702493294041,106.72702493304041,106.81206527986056,106.81206527996056],[0.0,1e-10,1.1830612968597323,1.1830612969597323,2.3183221372806875,2.3183221373806875,3.4166765787768196,3.4166765788768196,4.425377373487199,4.425377373587199,5.292455420516178,5.292455420616178,6.1346883465822115,6.1346883466822115,6.970418187295528,6.970418187395528,7.8052587171913785,7.8052587172913785,8.625314454746864,8.625314454846864,9.438978270801814,9.438978270901814,10.246917148469329,10.24691714856933,11.05191018405399,11.05191018415399,11.827667126514468,11.827667126614468,12.58135804431658,12.58135804441658,13.33454872478387,13.33454872488387,14.071287155128044,14.071287155228044,14.796742454475623,14.796742454575623,15.510358803565692,15.510358803665692,16.20179796414521,16.20179796424521,16.874394851779677,16.874394851879675,17.526926664095075,17.526926664195074,18.169509311640077,18.169509311740075,18.781744227539065,18.781744227639063,19.390310736316007,19.390310736416005,19.99398603559689,19.99398603569689,20.574316925919298,20.574316926019296,21.14264212020592,21.14264212030592,21.693014352364955,21.693014352464953,22.24049632436723,22.240496324467227,22.78314266879953,22.78314266889953,23.325511103601375,23.325511103701373,23.859319921785115,23.859319921885113,24.391183372555645,24.391183372655643,24.92215751250871,24.92215751260871,25.452631415126955,25.452631415226953,25.98077087684935,25.980770876949347,26.498238608762158,26.498238608862156,27.0075357975395,27.0075357976395,27.508051041994367,27.508051042094365,27.994059403739328,27.994059403839326,28.47545446561869,28.475454465718688,28.9558490528284,28.955849052928397,29.43352012565962,29.433520125759618,29.904465785433757,29.904465785533755,30.373021422385953,30.37302142248595,30.840576584668504,30.840576584768502,31.304963577163832,31.30496357726383,31.769183823880887,31.769183823980885,32.23295941518921,32.23295941528921,32.693177763227666,32.69317776332767,33.14411392960883,33.14411392970883,33.5936049659116,33.593604966011604,34.03047890499159,34.03047890509159,34.467019352515024,34.467019352615026,34.903337472334094,34.903337472434096,35.3380992982226,35.338099298322604,35.77147157595881,35.771471576058815,36.20050846345988,36.200508463559885,36.62921185940441,36.62921185950441,37.05635896141836,37.05635896151836,37.48144953216693,37.48144953226693,37.90320518735,37.90320518745,38.319013576441264,38.319013576541266,38.73026424759303,38.73026424769303,39.14012537059249,39.140125370692495,39.54859694543967,39.54859694553967,39.956345955247656,39.95634595534766,40.36187168801198,40.36187168811198,40.75578079822316,40.75578079832316,41.14502102664264,41.14502102674264,41.532538215353284,41.532538215453286,41.917443053537625,41.917443053637626,42.299402049639106,42.29940204973911,42.67830403980555,42.678304039905555,43.05659462878499,43.056594628884994,43.4337735792426,43.4337735793426,43.80995205503055,43.80995205513055,44.18563029348368,44.185630293583685,44.56019689341499,44.56019689351499,44.93242905245044,44.93242905255044,45.30321608140751,45.303216081507514,45.672335652581836,45.67233565268184,46.03728657929929,46.03728657939929,46.39784653385551,46.39784653395551,46.75829532455954,46.75829532465954,47.113741741915334,47.113741742015335,47.46290740162277,47.462907401722774,47.80868256383862,47.808682563938625,48.148621623814854,48.148621623914856,48.480612468359986,48.48061246845999,48.80937956119181,48.80937956129181,49.137201761280075,49.13720176138008,49.46424581440306,49.46424581450306,49.78061813771645,49.780618137816454,50.095323003247096,50.0953230033471,50.40741551825144,50.40741551835144,50.7187298862905,50.7187298863905,51.02748748572934,51.02748748582934,51.3321876045635,51.3321876046635,51.63483119213227,51.63483119223227,51.936752214661844,51.936752214761846,52.23650554207385,52.23650554217385,52.53297953584645,52.53297953594645,52.82878654650595,52.828786546605954,53.12353750056972,53.12353750066972,53.41706565225946,53.41706565235946,53.7099824027622,53.7099824028622,53.99923074614289,53.999230746242894,54.28809001604095,54.28809001614095,54.57444809926487,54.57444809936487,54.859694543966974,54.859694544066976,55.14432958748206,55.144329587582064,55.42840881173623,55.428408811836235,55.70670751567688,55.706707515776884,55.981671304052036,55.98167130415204,56.256190437018454,56.256190437118455,56.52793047368029,56.527930473780295,56.79639117670273,56.79639117680273,57.06212836534667,57.062128365446675,57.32714298895142,57.327142989051424,57.590601318625616,57.59060131872562,57.8474453990949,57.8474453991949,58.1009545639987,58.1009545640987,58.35390790964158,58.35390790974158,58.604415650536424,58.604415650636426,58.85475664565299,58.85475664575299,59.10504205884347,59.105042058943475,59.354382579290395,59.354382579390396,59.60127749498929,59.60127749508929,59.84706077216635,59.84706077226635,60.09273288549123,60.09273288559123,60.337237778368184,60.337237778468186,60.581409179688585,60.58140917978859,60.824079869004514,60.824079869104516,61.06297098734622,61.06297098744622,61.3013618683531,61.3013618684531,61.53791854579895,61.537918545898954,61.7738638220578,61.7738638221578,62.00641860082506,62.00641860092506,62.234415661652804,62.234415661752806,62.68963163634302,62.689631636443025,62.9161279851663,62.9161279852663,63.142513170137384,63.142513170237386,63.36723089732573,63.367230897425735,63.59167071488362,63.59167071498362,63.8148321481414,63.8148321482414,64.03727101635998,64.03727101645998,64.25576356782607,64.25576356792607,64.47286657113986,64.47286657123986,64.68885793593182,64.68885793603182,64.90134763938002,64.90134763948002,65.11367059704993,65.11367059714993,65.3256044812372,65.32560448133721,65.53520392452863,65.53520392462863,65.74408080278087,65.74408080288087,65.95023416665462,65.95023416675463,66.1562207847501,66.1562207848501,66.56102395247522,66.56102395257523,66.7590623551396,66.7590623552396,66.95660052046915,66.95660052056915,67.15324937498124,67.15324937508124,67.34717471511483,67.34717471521483,67.54004399865269,67.5400439987527,67.73196838944699,67.73196838954699,67.92355928868474,67.92355928878474,68.11470553251375,68.11470553261375,68.30518479322967,68.30518479332967,68.49505265275859,68.49505265285859,68.68408678339613,68.68408678349613,68.87262067669883,68.87262067679883,69.0608766603711,69.0608766604711,69.24841007900415,69.24841007910415,69.43577675185894,69.43577675195894,69.61953059951777,69.61953059961778,69.80211722672868,69.80211722682868,69.98431478045696,69.98431478055696,70.16645675225912,70.16645675235912,70.52879532845027,70.52879532855027,70.70788029431742,70.70788029441742,70.886631768628,70.88663176872801,71.06471625982549,71.06471625992549,71.24230051368816,71.24230051378817,71.41955127599428,71.41955127609428,71.59407852392191,71.59407852402191,71.76716064177116,71.76716064187116,71.93990926806384,71.93990926816385,72.11260231243045,72.11260231253046,72.28196044123156,72.28196044133156,72.45037367728911,72.45037367738911,72.61800876638138,72.61800876648138,72.78553269162147,72.78553269172147,72.95261196145282,72.95261196155282,73.11930215780153,73.11930215790153,73.28582560837197,73.28582560847197,73.45145974812495,73.45145974822495,73.6158155035778,73.61581550367781,73.77950427591757,73.77950427601758,73.94169233625287,73.94169233635287,74.10043431717048,74.10043431727048,74.41419428995756,74.41419429005757,74.56860088064003,74.56860088074004,74.7223960701355,74.7223960702355,74.87491287533085,74.87491287543085,75.02409476496071,75.02409476506071,75.1717759425861,75.1717759426861,75.31912362865494,75.31912362875494,75.46430361960618,75.46430361970619,75.60887220937045,75.60887220947045,75.75271823409551,75.75271823419551,75.8950635468161,75.8950635469161,76.03718653183232,76.03718653193232,76.17858695180936,76.17858695190937,76.31915364289502,76.31915364299502,76.4595535882024,76.4595535883024,76.59800816609658,76.59800816619658,76.73540668739501,76.73540668749501,76.87208264365427,76.87208264375427,77.00786928909605,77.00786928919605,77.14348918875956,77.14348918885956,77.27766395834468,77.27766395844468,77.41078267133406,77.41078267143406,77.54373463854517,77.54373463864518,77.67629753227365,77.67629753237365,77.80735971399764,77.80735971409764,77.93831073186945,77.93831073196945,78.0683724389238,78.0683724390238,78.19787832671723,78.19787832681723,78.32721746873239,78.32721746883239,78.45633428304318,78.45633428314318,78.58533993350179,78.58533993360179,78.7142900020343,78.7142900021343,78.84090562967097,78.84090562977097,78.96718776575108,78.96718776585108,79.09324757412683,79.09324757422684,79.21686177775456,79.21686177785456,79.3403648175301,79.3403648176301,79.46258947300552,79.46258947310552,79.5838136538113,79.5838136539113,79.82314942756175,79.82314942766175,79.94026054583675,79.94026054593675,80.05664909907256,80.05664909917256,80.17225950534309,80.1722595054431,80.28736967427879,80.2873696743788,80.40236867936233,80.40236867946233,80.51670070133274,80.51670070143274,80.74480892601268,80.74480892611268,80.85769581790471,80.85769581800471,80.9703048001663,80.9703048002663,81.08285820050179,81.08285820060179,81.19441112616764,81.19441112626764,81.30390752056809,81.30390752066809,81.41218111259452,81.41218111269453,81.52023237691661,81.52023237701661,81.62800573160821,81.62800573170821,81.73561234052156,81.73561234062156,81.84266313017399,81.84266313027399,81.94799088011757,81.94799088021757,82.05315188428288,82.05315188438288,82.15786823303945,82.15786823313945,82.26158410712638,82.26158410722638,82.36441067039584,82.36441067049584,82.46657025055221,82.46657025065221,82.56822959337374,82.56822959347375,82.66933311693437,82.66933311703437,82.77015873086454,82.77015873096454,82.87070643516424,82.87070643526424,82.97092064790739,82.9709206480074,83.07035671368527,83.07035671378527,83.16856997708913,83.16856997718914,83.26639416701035,83.26639416711035,83.3639404473011,83.3639404474011,83.5579213693608,83.5579213694608,83.75056832519428,83.75056832529428,83.84227850324542,83.84227850334543,83.93343286203566,83.93343286213566,84.02236394378221,84.02236394388221,84.11079478819396,84.11079478829396,84.19805841215776,84.19805841225777,84.28432156145193,84.28432156155193,84.37041796496783,84.37041796506783,84.45579180344453,84.45579180354453,84.53988725762112,84.53988725772112],[0.0,1e-10,0.673097124969291,0.673097125069291,1.197734925347915,1.197734925447915,1.6511166964771065,1.6511166965771065,2.084322228435046,2.0843222285350462,2.5121918954881926,2.5121918955881926,2.912381763347722,2.912381763447722,3.2951744883405794,3.2951744884405794,3.673798568876567,3.673798568976567,4.049532389255791,4.049532389355791,4.4187075423562066,4.418707542456207,4.781824265512638,4.781824265612638,5.118372827997283,5.118372828097283,5.454532316999288,5.454532317099288,5.788468528957628,5.788468529057628,6.121181938541953,6.121181938641953,6.442445471351408,6.442445471451408,6.7583731392560695,6.7583731393560695,7.0724110216736165,7.0724110217736165,7.383336316230033,7.383336316330033,7.693761373451626,7.693761373551626,8.003463865634028,8.003463865734028,8.311999137368508,8.311999137468508,8.618978115172421,8.618978115272421,8.924845454454502,8.924845454554502,9.229434409436477,9.229434409536477,9.533523127083628,9.533523127183628,9.828885482334396,9.828885482434396,10.123636436398158,10.123636436498158,10.414441073709416,10.414441073809416,10.693795834245803,10.693795834345803,10.972316865890818,10.972316865990818,11.24944834938354,11.24944834948354,11.526024013615348,11.526024013715348,11.794651462416057,11.794651462516057,12.062167272694934,12.062167272794934,12.329405173343353,12.329405173443353,12.595475853543848,12.595475853643848,12.860156985592052,12.860156985692052,13.122170185187862,13.122170185287862,13.378236118691868,13.378236118791868,13.633635069082777,13.633635069182777,13.88753330746921,13.88753330756921,14.138874777255431,14.138874777355431,14.388882280815453,14.388882280915453,14.63033016775737,14.63033016785737,14.871444563142736,14.871444563242736,15.111058246523628,15.111058246623628,15.35061634797843,15.35061634807843,15.589451884394041,15.589451884494041,15.826008561839895,15.826008561939895,16.062120583877018,16.062120583977016,16.294341871087727,16.294341871187726,16.52389522584604,16.52389522594604,16.750613902373683,16.75061390247368,16.976276522305582,16.97627652240558,17.200327266380828,17.200327266480826,17.42359986349079,17.423599863590788,17.646594550970292,17.64659455107029,17.86653223251476,17.86653223261476,18.085802930946127,18.085802931046125,18.303350589668653,18.30335058976865,18.516840767786494,18.516840767886492,18.729941872421694,18.729941872521692,18.942542739722068,18.942542739822066,19.15330940346142,19.15330940356142,19.363964903348588,19.363964903448586,19.574453657457482,19.57445365755748,19.78338611763581,19.78338611773581,19.98809435143118,19.988094351531178,20.191135127443797,20.191135127543795,20.393731248047686,20.393731248147684,20.594715492794915,20.594715492894913,20.795644155616053,20.79564415571605,20.99307115709342,20.99307115719342,21.18916419234459,21.18916419244459,21.38464582640875,21.38464582650875,21.57934931350763,21.57934931360763,21.772774416306405,21.772774416406403,21.96597719140081,21.96597719150081,22.15895763879085,22.158957638890847,22.35060411995469,22.350604120054687,22.541027798744516,22.541027798844514,22.730562166716876,22.730562166816874,22.91959629735441,22.919596297454408,23.105406676278633,23.10540667637863,23.288715868528737,23.288715868628735,23.471635987296196,23.471635987396194,23.653444467541824,23.653444467641823,23.834752710452626,23.834752710552625,24.015894207585156,24.015894207685154,24.19514591923057,24.195145919330567,24.3742864670238,24.3742864671238,24.55309352326048,24.553093523360477,24.731733833718888,24.731733833818886,24.910207398399017,24.910207398499015,25.088236307670417,25.088236307770416,25.265764979606992,25.26576497970699,25.44168177568691,25.441681775786908,25.617098334432004,25.617098334532002,25.792236983546637,25.792236983646635,25.966319576065533,25.96631957616553,26.13979076739742,26.13979076749742,26.313095212951033,26.31309521305103,26.486066166948095,26.486066167048094,26.656813843901496,26.656813844001494,26.827172447372252,26.82717244747225,26.99747546891692,26.99747546901692,27.165721959196198,27.165721959296196,27.333746121771107,27.333746121871105,27.50149237471556,27.50149237481556,27.669071881881738,27.669071881981736,27.836317897491366,27.836317897591364,28.003397167322717,28.003397167422715,28.169865035967064,28.169865036067062,28.335721503424402,28.3357215035244,28.501077733546918,28.501077733646916,28.6653223251476,28.665322325247597,28.829511334822186,28.829511334922184,28.992811033679313,28.99281103377931,29.15555491327552,29.155554913375518,29.480987090541845,29.480987090641843,29.96849616429128,29.96849616439128,30.130517478848297,30.130517478948295,30.2919829741444,30.291982974244398,30.453003814031767,30.453003814131765,30.613635580436497,30.613635580536496,30.77415618298904,30.774156183089037,30.934621203615492,30.93462120371549,31.093752258015748,31.093752258115746,31.24999305225924,31.249993052359237,31.405344535685263,31.40534453578526,31.560418109480832,31.56041810958083,31.715102609793757,31.715102609893755,31.868786635437036,31.868786635537035,32.02163693218894,32.02163693228894,32.174153737384295,32.174153737484296,32.32516983057517,32.32516983067517,32.47613034183996,32.476130341939964,32.62514548569155,32.62514548579155,32.77377155606049,32.77377155616049,32.92173064331633,32.92173064341633,33.06880041975471,33.06880041985471,33.21581461426699,33.21581461436699,33.362773226853186,33.36277322695319,33.5095650936611,33.509565093761104,33.654078101499266,33.65407810159927,33.797590634667785,33.797590634767786,33.94082525820584,33.94082525830584,34.226016120981846,34.22601612108185,34.36758328673715,34.36758328683715,34.65021738091294,34.65021738101294,34.791228727407336,34.79122872750734,34.93151750886254,34.93151750896254,35.07152838068728,35.071528380787285,35.21031645013801,35.21031645023801,35.34882660995828,35.34882661005828,35.48694769629591,35.48694769639591,35.62473529107699,35.62473529117699,35.762133812375424,35.762133812475426,35.8993100059695,35.8993100060695,36.03543014296783,36.035430143067835,36.171050042631336,36.17105004273134,36.3062808688122,36.306280868912204,36.441400531140886,36.44140053124089,36.576075538060834,36.576075538160836,36.71069496305469,36.710694963154694,36.97893333837276,36.978933338472764,37.11205205136215,37.11205205146215,37.245004018573255,37.24500401867326,37.377678076153906,37.37767807625391,37.5100742241041,37.510074224204104,37.64241479012821,37.64241479022821,37.906595684841584,37.906595684941585,38.03832484967868,38.03832484977868,38.169831686811406,38.16983168691141,38.301005032387586,38.30100503248759,38.43156697677676,38.43156697687676,38.561906593461565,38.56190659356157,38.69207946436809,38.692079464468094,38.821251860604974,38.821251860704976,39.078762924187366,39.07876292428737,39.20699042768069,39.20699042778069,39.33510676732183,39.335106767421834,39.46261170577596,39.462611705875965,39.59000548037791,39.59000548047791,39.71728809112768,39.71728809122768,39.84429279224699,39.84429279234699,39.97068609217929,39.970686092279294,40.22213872581769,40.222138725917695,40.47136808241243,40.471368082512434,40.59503786796625,40.59503786806625,40.71848532581569,40.718485325915694,40.841376964404226,40.84137696450423,40.9639906933623,40.9639906934623,41.08649325846818,41.08649325856818,41.2088290777958,41.2088290778958,41.45288931526402,41.45288931536402,41.69617140576696,41.69617140586696,41.81761791427711,41.81761791437711,41.93884209508289,41.93884209518289,42.05978836625821,42.05978836635821,42.1802899820248,42.180289982124805,42.30068043393921,42.300680434039215,42.419736919627425,42.41973691972743,42.53873782338954,42.53873782348954,42.65768314522557,42.65768314532557,42.77651730320941,42.77651730330941,42.89524029734107,42.89524029744107,43.01390770954664,43.013907709646645,43.13240837597393,43.13240837607393,43.250853460475135,43.25085346057514,43.369131799198065,43.36913179929807,43.48679873673398,43.48679873683398,43.60302054419152,43.603020544291525,43.71851978660987,43.71851978670987,43.83301855435857,43.83301855445857,43.947406158255085,43.947406158355086,44.061182360964594,44.061182361064596,44.17456949019146,44.17456949029146,44.28773429171396,44.28773429181396,44.40073234745818,44.40073234755818,44.513341329719765,44.51334132981977,44.62556123849871,44.62556123859871,44.73733649186892,44.737336491968925,44.848944999460855,44.84894499956086,44.959997687791876,44.95999768789188,45.0709947941968,45.0709947942968,45.181547245192995,45.181547245293,45.401985164072286,45.40198516417229,45.511370394620556,45.51137039472056,45.62053329746446,45.620533297564464,45.728862471416996,45.728862471517,45.83696931766516,45.83696931776516,45.94502058198723,45.94502058208723,46.052793936678846,46.05279393677885,46.16017821788782,46.16017821798782,46.26711784368806,46.267117843788064,46.48055243987981,46.48055243997981,46.58571344404512,46.58571344414512,46.795646378893096,46.7956463789931,46.90036272764967,46.90036272774967,47.005023494480156,47.00502349458016,47.10957309745846,47.10957309755846,47.21406711851067,47.21406711861067,47.318116484154146,47.31811648425415,47.52582614195846,47.52582614205846,47.62943085219321,47.62943085229321,47.73292439857577,47.73292439867577,47.83619561725396,47.836195617353965,48.042126653423345,48.04212665352335,48.144452979357986,48.14445297945799,48.24666814144044,48.24666814154044,48.348827721596805,48.34882772169681,48.45082055597489,48.450820556074895,48.55275780842689,48.55275780852689,48.654472733174515,48.65447273327452,48.755965330217784,48.755965330317785,48.85645745259139,48.856457452691394,49.05716378770817,49.05716378780817,49.156933345042596,49.1569333451426,49.25659173852483,49.256591738624834,49.356027804302705,49.35602780440271,49.455352706228396,49.4553527063284,49.554566444301905,49.55456644440191,49.65372460044932,49.653724600549324,49.752660428892376,49.75266042899238,49.850929274222324,49.850929274322326,49.94830880873481,49.94830880883481,50.0456327613212,50.0456327614212,50.14290113198151,50.14290113208151,50.23972484723308,50.23972484733308,50.33649298055855,50.336492980658555,50.43320553195794,50.43320553205794,50.529417846022504,50.529417846122506,50.72128665489071,50.72128665499071,50.91248848064582,50.91248848074582,51.00770032004073,51.007700320140735,51.10280099558346,51.10280099568346,51.19779050727401,51.19779050737401,51.29266885511237,51.29266885521237,51.57713715284918,51.577137152949184,51.67179317298318,51.67179317308318,51.76611570156063,51.76611570166063,51.859993574729344,51.859993574829346,52.04736024758413,52.04736024768413,52.14068230149193,52.14068230159193,52.23350411806491,52.23350411816491,52.32627035271179,52.32627035281179,52.418814259654305,52.418814259754306,52.51119142081854,52.51119142091854,52.60317950850014,52.60317950860014,52.69505643232956,52.69505643242956,52.78682219230679,52.786822192406795,52.878365624579665,52.87836562467967,52.96985347492644,52.96985347502644,53.06117457949494,53.06117457959494,53.15216219250689,53.152162192606895,53.2427607320362,53.242760732136205,53.423846647242634,53.423846647342636,53.51422285906758,53.51422285916758,53.60415441548379,53.60415441558379,53.78362845483357,53.78362845493357,53.96221318336588,53.962213183465884,54.05114426511245,54.05114426521245,54.13979743722855,54.13979743732855,54.228395027418564,54.228395027518566,54.316881453756395,54.316881453856396,54.405201134315945,54.40520113441595,54.49346523294941,54.49346523304941,54.58128467617414,54.581284676274144,54.6688817916945,54.668881791794504,54.84402044080914,54.84402044090914,54.93122848284686,54.931228482946864,55.01804745140194,55.01804745150194,55.104810838030936,55.10481083813094,55.19135189695555,55.191351897055554,55.27761504624972,55.27761504634972,55.363489122061246,55.36348912216125,55.535181691758204,55.535181691858206,55.62088902179145,55.62088902189145,55.70642960604643,55.70642960614643,55.79146995296657,55.791469953066574,55.87639913603454,55.876399136134545,55.96093924561987,55.96093924571987,56.045368191353006,56.04536819145301,56.129408063603506,56.12940806370351,56.21328119007573,56.213281190175735,56.29709873462187,56.29709873472187,56.38080511531582,56.380805115415825,56.46440033215759,56.46440033225759,56.54793996707327,56.54793996717327,56.63142402006285,56.631424020162854],[0.0,1e-10,3.1825099241529036,3.1825099242529036,6.206778104723019,6.206778104823019,8.78416759951666,8.78416759961666,11.011224214154938,11.011224214254938,13.116500828726519,13.116500828826519,15.127343750868468,15.127343750968468,17.013794322417414,17.013794322517413,18.802309540192958,18.802309540292956,20.16351091017627,20.16351091027627,21.454845799062443,21.45484579916244,22.74395741090495,22.74395741100495,24.02928945177323,24.02928945187323,25.313065198710945,25.313065198810943,26.448603948762358,26.448603948862356,27.53511944000098,27.535119440100978,28.612408331508394,28.612408331608393,29.688807912198342,29.68880791229834,30.730246461376677,30.730246461476675,31.770517790107085,31.770517790207084,32.754595791558884,32.754595791658886,33.67247571903559,33.67247571913559,34.56551052554934,34.565510525649344,35.44754011069696,35.447540110796965,36.3287915488793,36.328791548979304,37.200093822291244,37.200093822391246,38.07106260414663,38.071062604246634,38.91357343984313,38.91357343994313,39.67571281041116,39.675712810511165,40.42751394272616,40.42751394282616,41.1710889499796,41.1710889500796,41.89821170710993,41.89821170720993,42.57970170291905,42.579701703019055,43.2497974038794,43.2497974039794,43.917669827796075,43.91766982789608,44.57309190026824,44.57309190036824,45.20978286364753,45.209782863747535,45.841026798269844,45.841026798369846,46.46687928606128,46.46687928616128,47.08344959219541,47.08344959229541,47.68784745651548,47.68784745661548,48.283352212660894,48.283352212760896,48.87568879901909,48.87568879911909,49.46513512522052,49.46513512532052,50.02412255592375,50.024122556023755,50.58122020113987,50.58122020123987,51.13548316812532,51.13548316822532,51.67801834870544,51.678018348805445,52.20399011531026,52.203990115410264,52.72362554234064,52.723625542440644,53.219638650782095,53.219638650882096,53.71454012070171,53.714540120801715,54.201660120968505,54.20166012106851,54.67366183733838,54.67366183743838,55.142995621255864,55.142995621355865,55.61010612812968,55.61010612822968,56.067156306380916,56.06715630648092,56.518703873949086,56.51870387404909,56.9666386163213,56.9666386164213,57.412850318984674,57.412850319084676,57.85800596505231,57.85800596515231,58.30266137378512,58.30266137388512,58.74225882724359,58.74225882734359,59.176853907353824,59.176853907453825,59.60728034300718,59.607280343107185,60.019753816532955,60.01975381663296,60.423389763810164,60.423389763910166,60.82402428707842,60.824024287178425,61.22404740915968,61.22404740925968,61.621680508419,61.621680508519,62.41677996115935,62.41677996125935,62.7996282680783,62.7996282681783,63.166635726061145,63.16663572616115,63.533309692487435,63.53330969258744,63.898482946909255,63.898482947009256,64.25993221228293,64.25993221238294,64.62026983913479,64.6202698392348,64.97477136374702,64.97477136384703,65.31826766699312,65.31826766709312,65.65776207156061,65.65776207166061,65.98858569565783,65.98858569575783,66.31535183915035,66.31535183925035,66.63922772248611,66.63922772258611,66.94915254237289,66.94915254247289,67.23795623034484,67.23795623044484,67.520812652225,67.520812652325,67.80172370669196,67.80172370679196,68.06801671459681,68.06801671469681,68.33203086353193,68.33203086363193,68.59576710283656,68.59576710293656,68.85916985058466,68.85916985068467,69.12007141165864,69.12007141175864,69.37563710782783,69.37563710792783,69.62947976428816,69.62947976438817,69.8740958210173,69.87409582111731,70.11693325611151,70.11693325621151,70.35671368527068,70.35671368537068,70.59621620479939,70.59621620489939,70.82893772934493,70.82893772944493,71.06015854188598,71.06015854198598,71.28943398701384,71.28943398711384,71.51442962383264,71.51442962393264,71.73625709086421,71.73625709096422,71.95391591343893,71.95391591353894,72.17018518786135,72.17018518796135,72.3849537502793,72.3849537503793,72.57832327115197,72.57832327125197,72.76902485957227,72.76902485967227,72.95633595050096,72.95633595060096,73.14281331253828,73.14281331263828,73.32678948790148,73.32678948800148,73.50548538028598,73.50548538038598,73.68256939681382,73.68256939691382,73.8593755037112,73.85937550381121,74.03101249148207,74.03101249158208,74.20181575036156,74.20181575046156,74.54286644885963,74.54286644895963,74.71150201262154,74.71150201272154,74.87152237783927,74.87152237793927,75.03120925150043,75.03120925160043,75.19017356012242,75.19017356022242,75.3431906026526,75.3431906027526,75.49576298977404,75.49576298987404,75.79773959422971,75.79773959432971,75.94697706578566,75.94697706588566,76.09526964459805,76.09526964469805,76.24267291259298,76.24267291269298,76.38868663243561,76.38868663253561,76.5336442956825,76.53364429578251,76.67726799270321,76.67726799280321,76.81311022007108,76.81311022017108,76.94850779203021,76.94850779213021,77.08273814354143,77.08273814364144,77.21341125178279,77.21341125188279,77.34130526371956,77.34130526381956,77.45736032539882,77.45736032549883,77.57163676544316,77.57163676554316,77.68391225614819,77.68391225624819,77.79529843603576,77.79529843613577,77.90396110154484,77.90396110164484,78.01140096467991,78.01140096477991,78.11600614958431,78.11600614968431,78.21872154900159,78.21872154910159,78.31604550158798,78.31604550168798,78.41314712647001,78.41314712657001,78.60557175459913,78.60557175469913,78.69961637354612,78.69961637364612,78.79288284552783,78.79288284562783,78.88514884283988,78.88514884293988,78.97491365347781,78.97491365357781,79.06378915329829,79.06378915339829,79.15227557963611,79.15227557973611,79.2363710338127,79.2363710339127,79.31824321094564,79.31824321104564,79.39755861947835,79.39755861957835,79.47287212933247,79.47287212943247,79.5480744753344,79.5480744754344,79.62060888888395,79.62060888898395,79.69236515546821,79.69236515556821,79.763843512422,79.763843512522,79.83254277307122,79.83254277317123,79.89346056406762,79.89346056416763,79.95404486350746,79.95404486360746,80.01246146782974,80.01246146792974,80.06809897584743,80.06809897594744],[0.0,1e-10,0.49529054340225864,0.49529054350225865,0.9505621000185643,0.9505621001185643,1.3201819085277127,1.3201819086277127,1.6626221551780678,1.6626221552780678,1.998948389958347,1.998948390058347,2.3256033695986873,2.3256033696986873,2.644865953068845,2.644865953168845,2.9431741504024687,2.9431741505024687,3.2362020647573906,3.2362020648573906,3.528173922516572,3.528173922616572,3.8153657346318752,3.8153657347318752,4.099945196220873,4.099945196320873,4.3809674145400095,4.3809674146400095,4.650261846453818,4.650261846553818,4.911163407527794,4.911163407627794,5.168507725331907,5.168507725431907,5.42579646120993,5.42579646130993,5.674525580469846,5.674525580569846,5.915639975855211,5.915639975955211,6.152252235227158,6.152252235327158,6.387919601855547,6.387919601955547,6.621252527588089,6.621252527688089,6.85386288828144,6.85386288838144,7.086250921270425,7.086250921370425,7.318249880776769,7.318249880876769,7.5501376764309285,7.5501376765309285,7.7818031443807225,7.7818031444807225,8.012968374995692,8.012968375095692,8.243911277906296,8.243911278006296,8.472352994142776,8.472352994242776,8.698293523705136,8.698293523805136,8.920065408810624,8.920065408910624,9.139058197611533,9.139058197711533,9.357328421373252,9.357328421473252,9.572930712682572,9.572930712782572,9.786921128135237,9.786921128235237,9.99879943039642,9.99879943049642,10.207231653239926,10.207231653339926,10.413662926744133,10.413662926844133,10.618815815948233,10.618815816048233,10.823913123226243,10.823913123326243,11.028788102799885,11.028788102899885,11.232940517334335,11.232940517434335,11.432312886224908,11.432312886324908,11.630295706963192,11.630295707063192,11.828167363849293,11.828167363949293,12.02348225213518,12.02348225223518,12.216295953746945,12.216295953846945,12.408831745728252,12.408831745828252,12.6010896280791,12.6010896281791,12.792736109242941,12.792736109342941,12.982937460328401,12.982937460428401,13.172582992152943,13.172582992252943,13.359393845746816,13.359393845846816,13.545815625858046,13.545815625958046,13.732070660191003,13.732070660291003,13.916269163258569,13.91626916335857,14.097243914612822,14.097243914712822,14.277662846706159,14.277662846806159,14.45780386916904,14.45780386926904,14.63766698200146,14.637666982101461,14.813917269637928,14.813917269737928,14.989167082604746,14.989167082704746,15.33916647120356,15.33916647130356,15.513860464909463,15.513860465009463,15.687831893576174,15.687831893676174,15.861747740316794,15.861747740416794,16.034663112387765,16.034663112487763,16.207022665197822,16.20702266529782,16.377825924077314,16.377825924177312,16.547684290213244,16.547684290313242,16.714930305822875,16.714930305922874,16.88145375639331,16.881453756493308,17.046809986515825,17.046809986615823,17.21188830700788,17.211888307107877,17.373464966156167,17.373464966256165,17.534041150634803,17.5340411507348,17.69439500740907,17.69439500750907,17.854582118405066,17.854582118505064,18.014602483622784,18.014602483722783,18.174233775357866,18.174233775457864,18.33269784664502,18.332697846745017,18.490772844449534,18.490772844549532,18.648458768771405,18.648458768871404,18.806089111167186,18.806089111267184,18.962774560819412,18.96277456091941,19.119126518915085,19.119126519015083,19.275089403528117,19.275089403628115,19.430941124288967,19.430941124388966,19.7424222381063,19.7424222382063,19.897273484197502,19.8972734842975,20.05162449295388,20.05162449305388,20.205642010153706,20.205642010253705,20.359326035796983,20.35932603589698,20.511787259066246,20.511787259166244,20.66352591729632,20.663525917396317,20.815153411674206,20.815153411774205,20.966558578347726,20.966558578447724,21.11790816309516,21.117908163195157,21.26870192858167,21.26870192868167,21.418773129028995,21.418773129128994,21.568288510215403,21.5682885103154,21.716970162510435,21.716970162610433,21.864373430505363,21.86437343060536,22.01155437079592,22.01155437089592,22.15751250871247,22.157512508812466,22.301525279215806,22.301525279315804,22.44470432082777,22.44470432092777,22.586827305843993,22.58682730594399,22.728561217377578,22.728561217477576,22.868794416906688,22.868794417006686,23.008916452583616,23.008916452683614,23.14898290633445,23.148982906434448,23.287715393859088,23.287715393959086,23.42600322597499,23.42600322607499,23.563957566534345,23.563957566634343,23.701522833611058,23.701522833711056,23.83864344527904,23.838643445379038,23.975319401538286,23.975319401638284,24.111050465053975,24.111050465153973,24.246114545456567,24.246114545556566,24.37990024155905,24.379900241659048,24.513463609957167,24.513463610057165,24.646637904872644,24.646637904972643,24.779256380527205,24.779256380627203,24.911096709216483,24.91109670931648,25.042270054792663,25.04227005489266,25.173221072664475,25.173221072764473,25.30394976283192,25.303949762931918,25.434567289147186,25.434567289247184,25.565073651610263,25.56507365171026,25.694968612886335,25.694968612986333,25.824641246458043,25.82464124655804,25.95409155232538,25.95409155242538,26.08343069434054,26.083430694440537,26.212491926725235,26.212491926825233,26.34144199525775,26.341441995357748,26.469725080677165,26.469725080777163,26.597841420318307,26.597841420418305,26.725846596107264,26.725846596207262,26.85346269841358,26.853462698513578,26.980967636867714,26.980967636967712,27.10797233798702,27.10797233808702,27.234865875254147,27.234865875354146,27.361703830595182,27.36170383069518,27.4879859666753,27.487985966775298,27.74027232920508,27.74027232930508,27.991169143582567,27.991169143682566,28.11550591224948,28.115505912349477,28.239675935138116,28.239675935238115,28.363512466470205,28.363512466570203,28.48568154001954,28.48568154011954,28.606294319638316,28.606294319738314,28.847075223467133,28.84707522356713,28.9670766018989,28.967076601998897,29.0868556526263,29.0868556527263,29.20657912142761,29.206579121527607,29.326191426376738,29.326191426476736,29.5646934712358,29.564693471335797,29.68324971958918,29.68324971968918,29.801694804090385,29.801694804190383,29.91980639703504,29.919806397135037,30.0378624080536,30.037862408153597,30.155862837146067,30.155862837246065,30.27364093853417,30.27364093863417,30.39086322066136,30.390863220761357,30.50797433893636,30.50797433903636,30.624418474098267,30.624418474198265,30.740751445407987,30.740751445507986,30.85675092516116,30.856750925261156,30.972305749505598,30.972305749605596,31.087804991923946,31.087804992023944,31.20319307049011,31.203193070590107,31.318358821351907,31.318358821451906,31.433468990287615,31.433468990387613,31.548023339962405,31.548023340062404,31.66241094385892,31.662410943958918,31.77663180197716,31.77663180207716,31.89074149624322,31.890741496343217,32.11884972092315,32.11884972102315,32.232181268223925,32.23218126832393,32.34534606974643,32.34534606984643,32.57100868967832,32.571008689778324,32.68345092616163,32.683450926261635,32.908279817202164,32.908279817302166,33.132941962464415,33.132941962564416,33.3573817800223,33.3573817801223,33.46943494302297,33.46943494312297,33.58126577831927,33.58126577841927,33.69298544976339,33.69298544986339,33.915646645686344,33.915646645786346,34.02631026053472,34.02631026063472,34.24719283482274,34.24719283492274,34.35674481114929,34.35674481124929,34.46546305858446,34.46546305868446,34.57412572409354,34.57412572419354,34.6822881522678,34.6822881523678,34.78989476118114,34.78989476128114,34.89739020624229,34.897390206342294,35.004051922412074,35.004051922512076,35.21676395356464,35.21676395366464,35.322314031212585,35.32231403131259,35.53302511302584,35.533025113125845,35.637741461782426,35.63774146188243,35.74229106476073,35.74229106486073,35.84667392196075,35.84667392206075,35.95089003338251,35.95089003348251,36.05477265324771,36.05477265334771,36.15848852733463,36.158488527434635,36.261593000234555,36.26159300033456,36.364530727356204,36.364530727456206,36.46724612677348,36.46724612687348,36.569628034634206,36.56962803473421,36.77383603109475,36.773836031194755,36.8754397919902,36.875439792090205,36.9767100613291,36.9767100614291,37.07753567525926,37.077535675359265,37.17819454341115,37.178194543511154,37.27863108385868,37.27863108395868,37.379012042380104,37.379012042480106,37.57944046786642,37.57944046796642,37.67943235290521,37.67943235300521,37.87930495913061,37.87930495923061,37.97901893453894,37.979018934638944,38.078677328021186,38.07867732812119,38.17828013957733,38.178280139677334,38.277716205355205,38.27771620545521,38.376485288019985,38.37648528811999,38.47519878875867,38.47519878885867,38.57380112564517,38.57380112574517,38.672236716753396,38.6722367168534,38.77028323437898,38.77028323447898,38.86782951466974,38.86782951476974,38.96509788533004,38.96509788543004,39.062032764433795,39.0620327645338,39.158245078498354,39.158245078598355,39.25440181063682,39.25440181073682,39.35000272351438,39.35000272361438,39.44554805446584,39.44554805456584,39.54098222156512,39.540982221665125,39.63636080673831,39.63636080683831,39.73146148228104,39.73146148238104,39.826506575897675,39.826506575997676,39.921496087588224,39.921496087688226,40.01631885350049,40.016318853600495,40.11108603748667,40.111086037586674,40.20568647569458,40.20568647579458,40.30023133197639,40.30023133207639,40.39455386055384,40.39455386065384,40.48859847950083,40.48859847960083,40.58258751652173,40.58258751662173,40.676131898133896,40.6761318982339,40.769565115893876,40.76956511599388,40.862887169801674,40.862887169901676,40.95609805985729,40.95609805995729,41.04886429450417,41.04886429460417,41.14146378337278,41.14146378347278,41.234007690315295,41.2340076904153,41.32644043340563,41.32644043350563,41.418762012643775,41.41876201274378,41.51063893647319,41.510638936573194,41.69411487450157,41.694114874601574,41.78515806943961,41.78515806953961,41.876090100525474,41.876090100625476,41.96696654968524,41.96696654978524,42.05756508921455,42.05756508931455,42.14810804681777,42.14810804691777,42.238539840568805,42.23853984066881,42.328916052393744,42.328916052493746,42.41918110036651,42.41918110046651,42.5092238206349,42.5092238207349,42.689198097319505,42.689198097419506,42.77901848988353,42.779018489983535,42.86850539089101,42.86850539099101,42.957492054563666,42.95749205466367,43.04614522667977,43.04614522677977,43.13474281686978,43.13474281696978,43.22306249742934,43.22306249752934,43.311215432210616,43.31121543231062,43.39914603928753,43.39914603938753,43.48702106443835,43.487021064538354,43.57450701610653,43.57450701620653,43.66160389429207,43.66160389439207,43.74858960862542,43.748589608725425,43.83540857718051,43.83540857728051,43.9221719638095,43.9221719639095,44.0088241865863,44.008824186686304,44.18201746828773,44.182017468387734,44.268280617581894,44.268280617681896,44.35437702109779,44.35437702119779,44.440139933057125,44.44013993315713,44.525791681164286,44.52579168126429,44.611221101567075,44.61122110166708,44.69653935811768,44.696539358217684,44.7818020327422,44.7818020328422,44.86695354351453,44.866953543614535,44.951882726582504,44.951882726682506,45.03631167231564,45.03631167241564,45.120685036122694,45.120685036222696,45.2046693264471,45.204669326547105,45.28848687099324,45.28848687109324,45.37197092398282,45.371970924082824,45.53882786610981,45.538827866209814],[0.0,1e-10,9.913425591919722,9.913425592019722,18.962885724671594,18.962885724771592,27.52511469330449,27.52511469340449,35.051907960776944,35.051907960876946,41.70473102238506,41.70473102248506,47.581185740345695,47.5811857404457,52.715955236540005,52.715955236640006,57.15861858904169,57.15861858914169,61.24622459767023,61.24622459777023,64.58992210748877,64.58992210758878,67.15736243751202,67.15736243761202,69.60924794319082,69.60924794329082,70.98084313335328,70.98084313345328,72.3505485380286,72.3505485381286,73.6688406610692,73.6688406611692,74.89342165671935,74.89342165681936,75.65911827055726,75.65911827065726,76.4151992111813,76.4151992112813,77.01276049859212,77.01276049869212,77.50349332405486,77.50349332415486,77.83314972770414,77.83314972780414],[0.0,1e-10,0.5618221089339053,0.5618221090339053,1.1044128714401167,1.1044128715401167,1.6315518584928628,1.6315518585928628,2.149630991592678,2.149630991692678,2.633138166663517,2.633138166763517,3.1042505722159293,3.1042505723159293,3.557799089123395,3.557799089223395,3.9947286101294726,3.9947286102294726,4.4271004131960385,4.4271004132960385,4.85724893921894,4.85724893931894,5.281450199150041,5.281450199250041,5.702872362776562,5.702872362876562,6.102506411375175,6.102506411475175,6.481130491911162,6.481130492011162,6.858865261629684,6.858865261729684,7.216201464472588,7.216201464572588,7.571203226419645,7.571203226519645,7.924871022140504,7.924871022240504,8.268422907312692,8.268422907412692,8.60402657705378,8.60402657715378,8.92717989535035,8.92717989545035,9.248554592011988,9.248554592111988,9.567650429703871,9.567650429803871,9.88352251568244,9.88352251578244,10.190946148895087,10.190946148995087,10.494812538837872,10.494812538937872,10.797233798702273,10.797233798802273,11.091262187726844,11.091262187826844,11.383901028599125,11.383901028699125,11.675650558653938,11.675650558753938,11.964620992404173,11.964620992504173,12.253035606893492,12.253035606993492,12.540894402121896,12.540894402221896,12.823139422815046,12.823139422915046,13.099770668972946,13.099770669072946,13.373622818826265,13.373622818926265,13.646974731344761,13.646974731444761,13.917436383706493,13.917436383806493,14.187342216807307,14.187342216907307,14.453913134342628,14.453913134442628,14.718316356760374,14.718316356860374,14.980162810577907,14.980162810677907,15.239341331943043,15.239341332043043,15.494573536555677,15.494573536655677,15.748972012276935,15.748972012376935,16.256490579419346,16.256490579519344,16.505608772161903,16.5056087722619,16.75294834326953,16.75294834336953,17.00006558667279,17.000065586772788,17.245793281923756,17.245793282023755,17.491187485618177,17.491187485718175,17.734747485751573,17.73474748585157,17.977807248550146,17.977807248650144,18.219699790900794,18.219699791000792,18.459813711616512,18.45981371171651,18.697926682992932,18.69792668309293,18.935428253182344,18.935428253282343,19.17126236558901,19.171262365689007,19.406151585252115,19.406151585352113,19.640484985654304,19.640484985754302,19.87387349331294,19.873873493412937,20.1057612889671,20.105761289067097,20.33659302802552,20.336593028125517,20.56681336589693,20.56681336599693,20.796755794137887,20.796755794237885,21.026086821191832,21.02608682129183,21.254695283206587,21.254695283306585,21.481580705512503,21.4815807056125,21.708077054335778,21.708077054435776,21.92779240817588,21.927792408275877,22.147063106607245,22.147063106707243,22.36550007614724,22.365500076247237,22.583659136056774,22.583659136156772,22.801373540557577,22.801373540657575,23.01886561735401,23.018865617454008,23.235301637554706,23.235301637654704,23.666061564764615,23.666061564864613,23.87760637546925,23.877606375569247,24.300306923395876,24.300306923495874,24.721506759318032,24.72150675941803,24.930161309865902,24.9301613099659,25.13870469656159,25.138704696661588,25.34519155199189,25.345191552091887,25.551622825496096,25.551622825596095,25.757442697813296,25.757442697913294,25.96209534968257,25.96209534978257,26.166303346143113,26.16630334624311,26.367065263185978,26.367065263285976,26.56493692007208,26.564936920172077,26.76225275769726,26.76225275779726,26.9592351037659,26.959235103865897,27.154939065534425,27.154939065634423,27.349976044189855,27.349976044289853,27.543679056619084,27.543679056719082,27.734658554669828,27.734658554769826,27.92508223345965,27.92508223355965,28.114783347210288,28.114783347310286,28.30292816703036,28.302928167130357,28.490072512180777,28.490072512280776,28.675716145326728,28.675716145426726,28.860859541137852,28.86085954123785,29.041500800935555,29.041500801035554,29.2218641511028,29.221864151202798,29.398003274887085,29.398003274987083,29.74700218881625,29.747002188916248,29.918305685030564,29.918305685130562,30.088886616205688,30.088886616305686,30.258856146193807,30.258856146293805,30.427324964177448,30.427324964277446,30.595126799047993,30.59512679914799,30.762817470066352,30.76281747016635,30.929896739897707,30.929896739997705,31.09414133149839,31.094141331598387,31.258163595394706,31.258163595494704,31.42213027736493,31.422130277464927,31.584596247330676,31.584596247430675,31.746839889592064,31.746839889692062,31.908750040296898,31.908750040396896,32.070549027149546,32.07054902724955,32.23156986703692,32.23156986713692,32.392201633441644,32.392201633541646,32.55222199865936,32.552221998759364,32.71218678195099,32.71218678205099,32.871929237538254,32.871929237638255,33.030837964234145,33.03083796433415,33.18896854396475,33.18896854406475,33.34704354176926,33.34704354186926,33.50489621186941,33.50489621196941,33.662637718117374,33.662637718217375,33.81987898703051,33.819878987130515,33.97700909209147,33.97700909219147,34.13352779596542,34.13352779606542,34.28993533598719,34.28993533608719,34.44623171215677,34.44623171225677,34.60174994136107,34.60174994146107,34.75665676937836,34.75665676947836,34.9112301058391,34.911230105939104,35.220210032982315,35.22021003308232,35.374561041738694,35.374561041838696,35.528189485455876,35.52818948555588,35.68059512679905,35.68059512689905,35.83294518621613,35.83294518631613,36.28960629098472,36.28960629108472,36.44073354802779,36.44073354812779,36.59169405929258,36.59169405939258,36.74232107900082,36.74232107910082,36.89228111559596,36.89228111569596,37.04162975100409,37.04162975110409,37.340049112189895,37.3400491122899,37.48873076448493,37.48873076458493,37.63707892522341,37.637078925323415,37.78348171854869,37.783481718648694,37.92971776609569,37.929717766195694,38.07517566667741,38.07517566677741,38.219688674515574,38.219688674615576,38.50860352633972,38.50860352643972,38.65283862454742,38.65283862464742,38.79623999386376,38.79623999396376,38.939530199327905,38.93953019942791,39.08276482286596,39.08276482296596,39.225888282551836,39.22588828265184,39.36878941453334,39.36878941463334,39.511357054958296,39.5113570550583,39.65386911345716,39.653869113557164,39.79632559002994,39.79632559012994,39.93811508348961,39.938115083589615,40.07962666731883,40.07962666741883,40.220749177665404,40.220749177765406,40.36126028682497,40.361260286924974,40.500548593610525,40.500548593710526,40.639670154617804,40.639670154717805,40.7786249698468,40.778624969946804,40.91746862122363,40.91746862132363,41.05625669067435,41.056256690774354,41.19365521197279,41.19365521207279,41.330998151345135,41.33099815144514,41.468063181087025,41.46806318118703,41.60418331808536,41.60418331818536,41.7395808900445,41.7395808901445,41.87447822466881,41.874478224768815,42.00915323158876,42.009153231688764,42.14338358309998,42.143383583199984,42.27722486112856,42.27722486122856,42.41095497530495,42.410954975404955,42.54407368829433,42.544073688394334,42.67713681935763,42.67713681945763,42.80975529501219,42.80975529511219,42.94231818874066,42.94231818884066,43.074158517429936,43.07415851752994,43.205943264193124,43.205943264293126,43.33761684710412,43.337616847204124,43.468456701123756,43.46845670122376,43.598184916621555,43.59818491672156,43.72719056708016,43.72719056718016,43.856085053686584,43.856085053786586,43.98470163066255,43.98470163076255,44.112651224525415,44.11265122462542,44.23976708949691,44.23976708959691,44.3668273725423,44.366827372642305,44.49288718091806,44.49288718101806,44.6183355881068,44.618335588206804,44.74367283144336,44.743672831543364,44.86873216514947,44.86873216524947,44.993735916929474,44.993735917029476,45.11851734100512,45.118517341105125,45.242465036189394,45.242465036289396,45.36596807596493,45.36596807606493,45.48930436996219,45.48930437006219,45.61230717240291,45.61230717250291,45.73514322906534,45.735143229165345,45.8578681218756,45.8578681219756,45.98014835927712,45.980148359377125,46.102039523196005,46.10203952329601,46.223819523262705,46.22381952336271,46.345432777551125,46.345432777651126,46.46682370413519,46.46682370423519,46.587603229532235,46.587603229632236,46.70821600915101,46.70821600925101,46.82810622373059,46.828106223830595,46.947885274457995,46.947885274558,47.06727525170275,47.067275251802755,47.18655406509533,47.18655406519533,47.30566613270963,47.305666132809634,47.424667036471746,47.42466703657175,47.54305653904686,47.54305653914686,47.6612237139176,47.6612237140176,47.77889065145352,47.778890651553525,47.89600176972853,47.89600176982853,48.01261265066871,48.01261265076871,48.245167429435966,48.24516742953597,48.361055745336955,48.36105574543696,48.47688847931185,48.476888479411855,48.59244330365629,48.59244330375629,48.70777580029636,48.70777580039636,48.82305271501034,48.82305271511034,48.93821846587214,48.93821846597214,49.0529951432513,49.0529951433513,49.167549492926085,49.16754949302609,49.28177035104433,49.28177035114433,49.39471282486246,49.39471282496246,49.50671040593704,49.506710406037044,49.61854124123334,49.61854124133334,49.73026091267746,49.73026091277746,49.84192500219549,49.84192500229549,49.95353350978742,49.95353350988742,50.06469736197062,50.064697362070625,50.17563888644946,50.175638886549464,50.28635808322393,50.28635808332393,50.396021223402656,50.39602122350266,50.505517617803115,50.505517617903116,50.614902848351385,50.614902848451386,50.72423249697356,50.724232497073565,50.83345098174356,50.83345098184356,50.942613884587466,50.94261388468747,51.05133213202264,51.05133213212264,51.15960572404908,51.15960572414908,51.26776815222333,51.267768152323335,51.375874998471495,51.3758749985715,51.483815098941385,51.48381509904139,51.699250644472436,51.69925064457244,51.80663492568141,51.80663492578141,51.913630133407736,51.91363013350774,52.020347431503616,52.02034743160362,52.126675656116845,52.12667565621685,52.23294829880399,52.23294829890399,52.339054195712855,52.33905419581286,52.44504892876954,52.44504892886954,52.550765752195765,52.55076575229577,52.65559326480452,52.655593264904525,52.760142867782825,52.76014286788283,52.86435897920458,52.86435897930458,52.96840834484806,52.96840834494806,53.07167956352625,53.071679563626255,53.174561708721804,53.174561708821805,53.27722152621299,53.27722152631299,53.379770179851995,53.379770179952,53.48215208771273,53.48215208781273,53.58442283172127,53.58442283182127,53.686248920321084,53.686248920421086,53.78757477158607,53.787574771686074,53.88845596744233,53.888455967542335,53.989225999446404,53.989225999546406,54.089940449524384,54.089940449624386,54.291313767754254,54.291313767854255,54.39186147205396,54.39186147215396,54.49235359442758,54.49235359452758,54.59256780717074,54.59256780727074,54.6927264379878,54.6927264380878,54.79277390495268,54.792773905052684,54.892432298434926,54.89243229853493,54.99203510999107,54.992035110091074,55.09108210228631,55.09108210238631,55.28889817724632,55.28889817734632,55.38750051413282,55.38750051423282,55.485824941388856,55.48582494148886,55.58409378671881,55.58409378681881,55.68186239471394,55.68186239481394,55.77890843766987,55.77890843776987,55.87550982521707,55.875509825317074,55.972055630838184,55.972055630938186,56.06843469068102,56.068434690781025,56.16448025896731,56.16448025906731,56.260470245327504,56.260470245427506,56.35640464976161,56.35640464986161,56.45222789034353,56.45222789044353,56.54777322129499,56.54777322139499,56.64281831491163,56.64281831501163,56.73719642541517,56.73719642551517,56.83140779014043,56.83140779024043,56.92545240908742,56.92545240918742,57.01916353647786,57.019163536577864,57.11265233616393,57.112652336263935,57.20608555392392,57.20608555402392,57.392618497887334,57.392618497987336,57.57854004066374,57.57854004076374,57.67125069338453,57.67125069348453,57.763572272622675,57.763572272722676,57.855782688008645,57.85578268810865,57.947826357616336,57.94782635771634,58.131802532979535,58.13180253307954,58.22351271103068,58.22351271113068,58.314500324042626,58.31450032414263,58.40482095394148,58.40482095404148,58.49508600191424,58.49508600201424,58.58512872218264,58.58512872228264,58.674615623190114,58.674615623290116,58.76399136034541,58.76399136044541,58.85325593364852,58.85325593374852,58.942075851542896,58.9420758516429,59.030729023659,59.030729023759,59.118881958440284,59.118881958540285,59.20642349203455,59.206423492134554,59.29385386177664,59.29385386187664,59.38100632188827,59.381006321988274,59.46804761814772,59.468047618247724,59.55464425899844,59.55464425909844,59.64101857214479,59.64101857224479,59.727114975660676,59.72711497576068,59.81304463339829,59.81304463349829,59.898751963431536,59.89875196353154,59.984236965760424,59.984236965860426,60.06961080423712,60.069610804337124,60.154539987305085,60.15453998740509,60.2391356788165,60.239135678916504,60.32367578840183,60.32367578850183,60.408160316061064,60.408160316161066,60.57685146174907,60.576851461849074,60.66083575207348,60.66083575217348,60.744597714693526,60.74459771479353,60.82830409538748,60.82830409548748,60.911899312229245,60.91189931232925],[0.0,1e-10,0.6848804933007104,0.6848804934007104,1.2676014064450578,1.2676014065450578,1.786514268436247,1.786514268536247,2.2921430500915436,2.2921430501915436,2.795937628185817,2.795937628285817,3.270718440860275,3.270718440960275,3.7359391622469773,3.7359391623469773,4.196935657250718,4.196935657350718,4.65276303312794,4.65276303322794,5.095917729856276,5.095917729956276,5.535070527906018,5.535070528006018,5.951101244701653,5.951101244801653,6.361962842370769,6.361962842470769,6.772546530409428,6.772546530509428,7.181407178739247,7.181407178839247,7.572036955311019,7.572036955411019,7.95699737542145,7.95699737552145,8.339345445005575,8.339345445105575,8.719748147176494,8.719748147276494,9.098872465047306,9.098872465147306,9.477218635952836,9.477218636052836,9.85056243351012,9.85056243361012,10.219348513127896,10.219348513227896,10.587689937336936,10.587689937436936,10.949972931601993,10.949972931701993,11.297248805822317,11.297248805922317,11.64341304152081,11.64341304162081,11.984296994240601,11.984296994340601,12.321234630207888,12.321234630307888,12.650835451931083,12.650835452031084,12.978157414684523,12.978157414784523,13.298642800528695,13.298642800628695,13.616682581624838,13.616682581724838,13.933388396494781,13.933388396594781,14.244313691051198,14.244313691151198,14.542677470310915,14.542677470410915,14.837484006300768,14.837484006400768,15.128177479759842,15.128177479859842,15.415869529209969,15.415869529309969,15.695613363228999,15.695613363328999,15.974467886430562,15.974467886530562,16.252655426519027,16.252655426619025,16.530009237716115,16.530009237816113,16.807196303134933,16.80719630323493,17.08377196736674,17.08377196746674,17.35973623041154,17.359736230511537,17.63258790559521,17.632587905695207,17.904216778404866,17.904216778504864,18.16723045267032,18.16723045277032,18.42752061255729,18.42752061265729,18.68675471584852,18.686754715948517,18.94226483009161,18.942264830191608,19.196163068478043,19.19616306857804,19.446114990111976,19.446114990211974,19.695733420189356,19.695733420289354,19.94401788404054,19.94401788414054,20.19224676596563,20.19224676606563,20.440142156334172,20.44014215643417,20.687981964776622,20.68798196487662,20.93576619129298,20.93576619139298,21.181660632322224,21.181660632422222,21.424998304751256,21.424998304851254,21.667946903697644,21.66794690379764,21.91039526530921,21.910395265409207,22.15239897151204,22.152398971612037,22.392512892227757,22.392512892327755,22.632293321386925,22.632293321486923,22.871629095137358,22.871629095237356,23.110909286961704,23.110909287061702,23.348522021003298,23.348522021103296,23.585523353857887,23.585523353957885,23.821802121673283,23.82180212177328,24.05574644859283,24.05574644869283,24.286689351503437,24.286689351603435,24.51585363277911,24.515853632879107,24.743739529754674,24.743739529854672,24.970402624356222,24.97040262445622,25.19562058887939,25.195620588979388,25.419337841398086,25.419337841498084,25.641943455394948,25.641943455494946,25.864326741687446,25.864326741787444,26.08637653642339,26.08637653652339,26.304202104776376,26.304202104876374,26.52119394423799,26.521193944337988,26.73674065362122,26.736740653721217,26.948952447438952,26.94895244753895,27.160497258143586,27.160497258243584,27.3702078652872,27.370207865387197,27.579084743539436,27.579084743639434,27.787906039865582,27.78790603996558,27.99617151693081,27.99617151703081,28.204270248217764,28.204270248317762,28.41197990602208,28.411979906122077,28.619467236122027,28.619467236222025,28.826676656591516,28.826676656691514,29.032830020465266,29.032830020565264,29.238316401225916,29.238316401325914,29.442079742277723,29.44207974237772,29.645064936364253,29.64506493646425,29.84560452570275,29.84560452580275,30.04347618258885,30.04347618268885,30.2410143479184,30.2410143480184,30.436106908499923,30.43610690859992,30.6308103955988,30.6308103956988,30.824902481510673,30.82490248161067,31.017938510826802,31.0179385109268,31.210307557029836,31.210307557129834,31.40206520204586,31.40206520214586,31.593155863948784,31.593155864048782,31.78380187044298,31.783801870542977,32.16203687749633,32.16203687759633,32.348792149164105,32.348792149264106,32.53482485579269,32.534824855892694,32.719134522712444,32.719134522812446,32.90294395229737,32.90294395239737,33.08664221803011,33.08664221813011,33.268395116349645,33.268395116449646,33.44931428577781,33.44931428587781,33.630122291353786,33.63012229145379,33.80976307648184,33.809763076581845,33.98912595197944,33.98912595207944,34.16815533592049,34.16815533602049,34.34701797408326,34.34701797418326,34.52510246528075,34.525102465380755,34.70302021069997,34.70302021079997,34.88060446456263,34.88060446466263,35.057799644942655,35.05779964504266,35.23438342413567,35.23438342423567,35.41063371177214,35.410633711872144,35.5862725982216,35.5862725983216,35.761466829262325,35.76146682936233,35.93643873259869,35.93643873269869,36.11046574319149,36.11046574329149,36.28438158993211,36.28438159003211,36.457963945116184,36.457963945216186,36.63076815333497,36.63076815343497,36.80240514110584,36.80240514120584,36.973986546950606,36.97398654705061,37.14490096968228,37.144900969782285,37.314703753892125,37.31470375399213,37.483394899580134,37.483394899680135,37.65180813563769,37.65180813573769,37.81988788013869,37.81988788023869,37.987133895748315,37.98713389584832,38.153768510170934,38.153768510270936,38.32018079688919,38.32018079698919,38.485648190863884,38.485648190963886,38.65028185594721,38.650281856047215,38.81374830058261,38.81374830068261,38.977103581365824,38.977103581465826,39.13995862481422,39.13995862491422,39.302646922484335,39.30264692258434,39.464834982819625,39.464834982919626,39.78832179267275,39.78832179277275,39.94939821448621,39.94939821458621,40.11030789052139,40.11030789062139,40.27055058344348,40.27055058354348,40.4305709486612,40.4305709487612,40.590480150026735,40.59048015012674,40.75016702368791,40.75016702378791,40.909353660014254,40.909353660114256,41.06792889515359,41.067928895253594,41.38446796424526,41.38446796434526,41.542209470493226,41.54220947059323,41.69900608399763,41.69900608409763,41.85524687824112,41.85524687834112,42.010876271297604,42.010876271397606,42.1663945005019,42.1663945006019,42.3213013285192,42.3213013286192,42.47498535416248,42.47498535426248,42.628335888249204,42.628335888349206,42.781464094631566,42.78146409473157,42.93436997330956,42.93436997340956,43.086997942357094,43.086997942457096,43.23945916562636,43.23945916572636,43.38975269377805,43.38975269387805,43.53976831229928,43.53976831239928,43.68922811155959,43.689228111659595,43.83818767348509,43.83818767358509,43.98675816192794,43.98675816202794,44.135161904592515,44.13516190469252,44.28339890147881,44.28339890157881,44.43135798873465,44.431357988834655,44.57887242058177,44.57887242068177,44.72633127050278,44.726331270602785,44.87190033493669,44.87190033503669,45.017247071666226,45.01724707176623,45.162093571060936,45.16209357116094,45.30677332467737,45.306773324777375,45.450508185550255,45.45050818565026,45.59235326093602,45.592353261036024,45.7341427543957,45.7341427544957,45.87559875629882,45.87559875639882,46.01622102931057,46.01622102941057,46.57848779365321,46.57848779375321,46.85900977463752,46.85900977473752,46.998575991053535,46.99857599115354,47.13791987976518,47.13791987986518,47.27687469499418,47.27687469509418,47.415718346371,47.415718346471,47.55450641582173,47.55450641592173,47.692905411789816,47.69290541188982,47.83074858849699,47.83074858859699,47.96809152786933,47.968091527969335,48.105267721463406,48.10526772156341,48.24005389223554,48.24005389233554,48.373950752190204,48.373950752290206,48.507514120588326,48.50751412068833,48.640855161282076,48.64085516138208,48.77364038271491,48.77364038281491,48.90637002222165,48.90637002232165,49.03898849787621,49.03898849797621,49.1707732446394,49.1707732447394,49.43378691890486,49.43378691900486,49.564182117515756,49.56418211761576,49.69418824264401,49.69418824274401,49.82402762199399,49.82402762209399,49.95342234593524,49.95342234603524,50.08248357831994,50.08248357841994,50.21148922877854,50.21148922887854,50.340272551532784,50.340272551632786,50.46894471043484,50.46894471053484,50.59667197659334,50.596671976693344,50.72317644037783,50.72317644047783,50.84956974031012,50.849569740410125,50.9741288366814,50.974128836781404,51.09824327764395,51.098243277743954,51.22196864512385,51.22196864522385,51.345471684899394,51.345471684999396,51.46836332348792,51.46836332358792,51.59081030666772,51.59081030676772,51.71303496214315,51.71303496224315,51.83520403569249,51.83520403579249,51.95726194538965,51.95726194548965,52.079041945456346,52.07904194555635,52.200544035892584,52.200544035992586,52.32182379862446,52.32182379872446,52.44304797943024,52.44304797953024,52.563660759049014,52.563660759149016,52.6842179567417,52.6842179568417,52.80371909783864,52.80371909793864,52.92210860041375,52.92210860051375,53.04033135721059,53.04033135731059,53.15844295015524,53.15844295025524,53.275998723838974,53.275998723938976,53.39305426018789,53.39305426028789,53.50988746883243,53.50988746893243,53.62638718592043,53.62638718602043,53.742775739156244,53.742775739256246,53.858775218909415,53.858775219009416,53.97449678903213,53.97449678913213,54.08944021218956,54.08944021228956,54.20393897993826,54.20393898003826,54.318382165760866,54.31838216586087,54.66132264974605,54.66132264984605,54.77426512356418,54.77426512366418,54.88709643353013,54.887096433630134,55.112592307683755,55.11259230778376,55.22470105261051,55.224701052710515,55.336698633685096,55.3366986337851,55.44852946898139,55.44852946908139,55.56024914042551,55.560249140525514,55.67124624683044,55.671246246930444,55.78174311590055,55.78174311600055,55.891239510301,55.891239510401,56.00062474084927,56.00062474094927,56.10956531598881,56.10956531608881,56.218450309202254,56.218450309302256,56.327168556637425,56.327168556737426,56.43549773058996,56.43549773068996,56.543326667207666,56.54332666730767,56.65065536649055,56.65065536659055,56.865146019278036,56.86514601937804,56.97208564507827,56.972085645178275,57.07896968895243,57.07896968905243,57.184797676230836,57.18479767633084,57.28979193461787,57.28979193471787,57.39456386530054,57.39456386540054,57.499280214057116,57.49928021415712,57.6039409808876,57.6039409809876,57.70843500193981,57.70843500203981,57.81259553143547,57.81259553153547,57.91647815130067,57.916478151400675,58.020249607313694,58.020249607413696,58.123854317548435,58.12385431764844,58.22740344585709,58.227403445957094,58.4344461205483,58.4344461206483,58.536216627222025,58.53621662732203,58.63754247848701,58.637542478587015,58.73881274782591,58.73881274792591,58.84002743523872,58.84002743533872,59.04229006428606,59.04229006438606,59.24405245599857,59.24405245609857,59.34471132415046,59.34471132425046,59.545695568897685,59.54569556899769,59.64596536356694,59.64596536366694,59.74617957631009,59.74617957641009,59.946552419870315,59.94655241997032,60.04643314105692,60.046433141156925,60.14620269839135,60.14620269849135,60.245749928021404,60.245749928121406,60.34479692031664,60.34479692041664,60.44328809335096,60.44328809345096,60.541723684459186,60.54172368455919,60.640103693641315,60.64010369374132,60.73809462934081,60.73809462944081,60.83602998311421,60.83602998321421,61.03123370754791,61.031233707647914,61.12744602161248,61.12744602171248,61.22310251641612,61.22310251651612,61.318425519663215,61.31842551976322,61.41247013861021,61.41247013871021,61.50607010214846,61.506070102248465,61.599558901834534,61.599558901934536,61.69293653766843,61.69293653776843,61.87963622741012,61.87963622751012,61.97273595361355,61.97273595371355,62.065613352112614,62.065613352212615,62.15815725905513,62.15815725915513,62.250478838293276,62.25047883839328,62.34268925367925,62.34268925377925,62.61909817213278,62.61909817223278,62.710641604405645,62.710641604505646,62.802018290900236,62.80201829100024,62.893339395468736,62.89333939556874,63.07575927690137,63.075759277001374,63.16674688991333,63.16674689001333,63.25762333907309,63.257623339173094,63.439209491614356,63.43920949171436,63.52986361306976,63.52986361316976,63.61985075141206,63.61985075151206,63.70978230782827,63.70978230792827,63.7996027003923,63.7996027004923,63.88920076525196,63.88920076535196,63.97868766625944,63.97868766635944,64.15666099360475,64.15666099370475,64.2449250922382,64.2449250923382,64.33274453546294,64.33274453556294,64.4203416509833,64.4203416510833,64.50771643879929,64.5077164388993,64.5950356446892,64.5950356447892,64.68207694094865,64.68207694104865,64.76867358179936,64.76867358189936,64.85521464072399,64.85521464082399,65.1145599078674,65.1145599079674,65.20048956560501,65.20048956570501,65.28630805949045,65.28630805959045,65.3720153895237,65.3720153896237,65.45766713763085,65.45766713773085,65.54309655803364,65.54309655813364,65.62841481458425,65.62841481468425,65.79860667227673,65.79860667237674,65.88336910956643,65.88336910966643,65.96807596493002,65.96807596503002,66.05261607451536,66.05261607461536,66.13626687328322,66.13626687338322,66.21986209012498,66.21986209022498,66.30340172504066,66.30340172514066],[0.0,1e-10,4.243124237832839,4.243124237932839,6.86392321690402,6.86392321700402,9.475495596243995,9.475495596343995,12.00302810333347,12.00302810343347,14.264267602518084,14.264267602618084,16.516780739306316,16.516780739406315,18.615387522746904,18.615387522846902,20.55947655165284,20.559476551752837,22.273122914983,22.273122915082997,23.869880487742517,23.869880487842515,25.435289854186376,25.435289854286374,26.968183793866647,26.968183793966645,28.415259239661484,28.415259239761482,29.843381248659085,29.843381248759083,31.203026324711836,31.203026324811834,32.561003942981834,32.561003943081836,33.8318846830663,33.8318846831663,35.0575217353122,35.0575217354122,36.27954596236214,36.279545962462144,37.49228800775479,37.49228800785479,38.643056205555304,38.643056205655306,39.7694239378016,39.7694239379016,40.886120414907964,40.886120415007966,41.98797651774787,41.98797651784787,43.0664882116293,43.0664882117293,44.118542908691126,44.11854290879113,45.14547457515955,45.14547457525955,46.16156776604011,46.16156776614011,47.16999065112003,47.16999065122003,48.173966982112624,48.173966982212626,49.14053667684557,49.14053667694557,50.104771930682666,50.10477193078267,51.00347609365777,51.00347609375777,51.891008289488454,51.891008289588456,52.76208823519603,52.762088235296034,53.6166603488544,53.616660348954404,54.4511673871937,54.4511673872937,55.26955566696644,55.26955566706644,56.043200496235436,56.04320049633544,56.798280962189835,56.79828096228984,57.54730299820026,57.54730299830026,58.28893263804049,58.288932638140494,59.012442569974866,59.01244257007487,59.7302831454479,59.7302831455479,60.43878595733754,60.43878595743754,61.14723318730108,61.147233187401085,61.82900109274067,61.82900109284067,62.48798040848269,62.48798040858269,63.14518110258978,63.14518110268978,63.802215050918605,63.80221505101861,64.4508561284076,64.4508561285076,65.08037702332106,65.08037702342106,65.69483521626371,65.69483521636371,66.28583783639571,66.28583783649572,66.87400577829703,66.87400577839703,67.45778274803712,67.45778274813712,68.03600152516805,68.03600152526805,68.61349773725979,68.6134977373598,69.18076687495068,69.18076687505068,69.73953197794954,69.73953197804954,70.2897374643303,70.2897374644303,70.82393535599668,70.82393535609668,71.35629904410203,71.35629904420203,71.88710643827683,71.88710643837683,72.41519031807313,72.41519031817313,72.93493690895569,72.9349369090557,73.44879181567255,73.44879181577255,73.96053460919792,73.96053460929792,74.47077669071882,74.47077669081882,74.9719033363607,74.9719033364607,75.46630456894549,75.46630456904549,75.94347540444188,75.94347540454189,76.41380966302901,76.41380966312902,76.8838104300596,76.8838104301596,77.34703020210699,77.347030202207,77.79479819870095,77.79479819880095,78.2417880483296,78.2417880484296,78.68427576194483,78.68427576204483,79.0994727498491,79.0994727499491,79.50727734158318,79.50727734168318,79.91191376353002,79.91191376363003,80.31521621925069,80.31521621935069,80.70262224410915,80.70262224420915,81.08930570392842,81.08930570402842,81.46843002179924,81.46843002189924,81.84622037344384,81.84622037354384,82.21539552654426,82.21539552664426,82.5777341027354,82.57773410283541,82.9365154356567,82.9365154357567,83.29229534456904,83.29229534466904,83.64668570532909,83.64668570542909,83.99740765896709,83.9974076590671,84.34062605258272,84.34062605268272,84.67756368855001,84.67756368865001,85.01355643177374,85.01355643187374,85.34576960402325,85.34576960412325,85.66675522720224,85.66675522730225,85.98479500829838,85.98479500839838,86.29883289071593,86.29883289081593,86.61148122498119,86.61148122508119,86.92096138945922,86.92096138955922,87.22738454800222,87.22738454810222,87.53030604520144,87.53030604530144,87.8217776656258,87.8217776657258,88.11002553433684,88.11002553443684,88.3936045212562,88.3936045213562,88.66484432058321,88.66484432068322,88.9309150007837,88.9309150008837,89.18431300183532,89.18431300193532,89.43554330776935,89.43554330786935,89.68288287887698,89.68288287897698,89.92460867544935,89.92460867554935,90.16361095764324,90.16361095774324,90.40183509287183,90.40183509297184,90.63333381504336,90.63333381514336,90.85877410727089,90.85877410737089,91.08260252364177,91.08260252374177,91.30515255571254,91.30515255581254,91.516586202565,91.516586202665,91.72668588319125,91.72668588329125,91.92805920142112,91.92805920152112,92.12904344616835,92.12904344626835,92.3186333960668,92.3186333961668,92.50738961707388,92.50738961717389,92.69231068518063,92.69231068528063,92.87339660038707,92.87339660048707,93.05048061691491,93.05048061701491,93.22284016972498,93.22284016982498,93.39114224193034,93.39114224203034,93.55933315028352,93.55933315038352,93.72535636351914,93.72535636361914,93.88787791541098,93.88787791551098,94.04072821216288,94.04072821226288,94.19274478002342,94.19274478012342,94.3437608732143,94.3437608733143,94.49405440136599,94.49405440146599,94.64117975973045,94.64117975983045,94.78191319659439,94.78191319669439,94.91997870100592,94.91997870110592,95.05671023919126,95.05671023929126,95.18866173173272,95.18866173183272,95.31827878337833,95.31827878347833,95.43994761959286,95.43994761969286,95.55811479446359,95.5581147945636,95.67394752843849,95.67394752853849,95.78794605885237,95.78794605895237,95.90105527844878,95.90105527854878,96.01177447522325,96.01177447532325,96.12071505036279,96.12071505046279,96.22871073275877,96.22871073285877,96.32064323851428,96.32064323861428,96.40562800350833,96.40562800360833,96.48916763842401,96.48916763852401],[0.0,1e-10,15.031353764508273,15.031353764608273,26.71222902421482,26.71222902431482,35.82116181788471,35.82116181798471,44.87317871923679,44.87317871933679,52.5776674044241,52.5776674045241,60.10496090923138,60.10496090933138,65.98002607903972,65.98002607913972,71.57006713185034,71.57006713195034,76.73746321866041,76.73746321876041,81.35092983004158,81.35092983014158,85.79359318254328,85.79359318264328,89.13723511043573,89.13723511053573,91.52898097208342,91.52898097218342,93.27542067180762,93.27542067190763,94.64523724033513,94.64523724043514,95.83941492241318,95.83941492251319,96.6201742382219,96.62017423832191,97.37619959691988,97.37619959701988,98.10543446724168,98.10543446734168,98.700272240274,98.700272240374,99.01292057453925,99.01292057463925,99.13792432631926,99.13792432641927,99.24152903655401,99.24152903665401],[0.0,1e-10,5.072462157045621,5.072462157145621,8.745037923548173,8.745037923648173,12.220131106647266,12.220131106747266,15.562883723722255,15.562883723822255,18.49660894668915,18.49660894678915,21.330231120765074,21.330231120865072,24.122166850272297,24.122166850372295,26.71145087724954,26.711450877349538,29.24537530583955,29.245375305939547,31.67836295664721,31.678362956747208,33.97695351016538,33.97695351026538,36.046379782407875,36.04637978250788,38.05055287341883,38.05055287351883,39.99697634322062,39.99697634332062,41.78310153817422,41.783101538274224,43.55005096862622,43.550050968726225,45.30015907547247,45.30015907557247,46.96756127629442,46.96756127639442,48.31631229483322,48.31631229493322,49.643719853752835,49.643719853852836,50.9476718398618,50.9476718399618,52.209492725993336,52.20949272609334,53.42290175449908,53.42290175459908,54.61557872457266,54.61557872467266,55.779408675004696,55.7794086751047,56.916448137060584,56.916448137160586,58.04453890901572,58.04453890911572,59.158789781374054,59.158789781474056,60.270539467058256,60.27053946715826,61.266345254915386,61.26634525501539,62.24953394554972,62.24953394564972,63.213658035534635,63.21365803563464,64.16310849703137,64.16310849713138,65.10233188412725,65.10233188422725,66.01026264683355,66.01026264693355,66.85460768609107,66.85460768619107,67.6868914473867,67.6868914474867,68.50283412241141,68.50283412251142,69.31410791564443,69.31410791574443,70.07213422368169,70.07213422378169,70.81131825877388,70.81131825887388,71.54683388674404,71.54683388684404,72.26728681274338,72.26728681284338,72.95455732886603,72.95455732896603,73.5960283378892,73.5960283379892,74.22877298451598,74.22877298461599,74.8573489866859,74.85734898678591,75.4820898359555,75.48208983605551,76.0857095533103,76.0857095534103,76.68115872752962,76.68115872762962,77.26604733579154,77.26604733589154,77.84093119735697,77.84093119745697,78.38763502239395,78.38763502249395,78.89220774745351,78.89220774755351,79.38766503663405,79.38766503673405,79.87350665260074,79.87350665270074,80.35128888928413,80.35128888938414,80.81667635644912,80.81667635654912,81.23026146849672,81.23026146859672,81.64028933727447,81.64028933737447,82.04992813256956,82.04992813266956,82.45223011362057,82.45223011372057,82.85408743926286,82.85408743936286,83.23921460515156,83.23921460525156,83.57076079428796,83.57076079438797,83.89385853065843,83.89385853075844,84.19555722548364,84.19555722558364,84.49197563733016,84.49197563743016,84.7669394257053,84.7669394258053,85.03456639983636,85.03456639993637,85.29185513571439,85.29185513581439,85.53130207331701,85.53130207341701,85.76235614007979,85.76235614017979,85.99279880565557,85.99279880575557,86.21801677017874,86.21801677027874,86.44301240699754,86.44301240709754,86.66283892468982,86.66283892478982,86.86454573447625,86.86454573457625,87.06219506365798,87.06219506375798,87.23761162240308,87.23761162250308,87.41130514143933,87.41130514153933,87.58466516891903,87.58466516901903,87.75658006632035,87.75658006642036,87.9191016182122,87.9191016183122,88.08128967854749,88.0812896786475,88.24014282331729,88.24014282341729,88.38932471294714,88.38932471304715,88.5345047038984,88.53450470399841,88.6742376660927,88.6742376661927,88.81224758857813,88.81224758867813,88.92963661648359,88.9296366165836,89.04374631074965,89.04374631084966,89.15768925923744,89.15768925933745,89.26590726933779,89.26590726943779,89.37012338075954,89.37012338085954,89.47267203439854,89.47267203449854,89.57299741099388,89.57299741109388,89.67165532980647,89.67165532990647,89.76097548503567,89.76097548513567,89.8487949282604,89.8487949283604,89.93633646185468,89.93633646195468,90.02204379188792,90.02204379198793],[0.0,1e-10,1.5991475955814591,1.5991475956814591,2.959348490895125,2.959348490995125,4.259576487955952,4.259576488055952,5.5000539144683085,5.5000539145683085,6.729970775023261,6.729970775123261,7.887686713585223,7.887686713685223,9.015555157835996,9.015555157935996,10.118745226902098,10.118745227002098,11.197201338857436,11.197201338957436,12.177499769335007,12.177499769435007,13.148238108524822,13.148238108624822,14.108415881757233,14.108415881857233,15.012567073489311,15.012567073589311,15.892595709297634,15.892595709397634,16.76167470566591,16.76167470576591,17.593902885035455,17.593902885135453,18.425630827070176,18.425630827170174,19.209447148813936,19.209447148913934,19.983703379269944,19.983703379369942,20.714105470039673,20.71410547013967,21.433002102108446,21.433002102208444,22.146118213863687,22.146118213963685,22.857122212427452,22.85712221252745,23.555509113768423,23.55550911386842,24.23833307580374,24.23833307590374,24.918711433091033,24.91871143319103,25.586361529303346,25.586361529403344,26.242339421036426,26.242339421136425,26.89231446475161,26.89231446485161,27.538509937492567,27.538509937592565,28.16414009757963,28.164140097679628,28.789047692627502,28.7890476927275,29.413844123823193,29.41384412392319,30.008904224559874,30.008904224659872,30.599017533874406,30.599017533974404,31.183961724062417,31.183961724162415,31.766460309502396,31.766460309602394,32.34868098531192,32.348680985411924,32.923564846877355,32.92356484697736,33.49622543139912,33.49622543149912,34.062105020937715,34.062105021037716,34.62370480216725,34.623704802267255,35.18513783761851,35.185137837718514,35.74062360697798,35.74062360707798,36.29549797515043,36.295497975250434,36.84514764227028,36.84514764237028,37.384125579580534,37.384125579680536,37.911097820855005,37.91109782095501,38.435902367011906,38.43590236711191,38.94136440288893,38.94136440298893,39.44565921831803,39.44565921841803,39.9481198301861,39.9481198302861,40.449190893901886,40.44919089400189,40.947427279387,40.947427279487,41.44182851197179,41.441828512071794,41.92366822925988,41.92366822935988,42.40417398032177,42.404173980421774,42.88329018323138,42.88329018333138,43.34400876860466,43.34400876870466,43.801058946855896,43.8010589469559,44.25421839028072,44.25421839038072,44.699707527904906,44.69970752800491,45.134358189941224,45.134358190041226,45.56773046767744,45.567730467777444,46.00099158156147,46.000991581661474,46.42997288713645,46.42997288723645,46.84744873401047,46.84744873411047,47.260867100279796,47.2608671003798,47.674007556918674,47.674007557018676,48.066026881642735,48.06602688174274,48.45437779924475,48.454377799344755,48.83928263742909,48.839282637529095,49.2224088539785,49.2224088540785,49.604701341636535,49.604701341736536,49.97187554539765,49.97187554549765,50.33827160219349,50.33827160229349,50.69783108208005,50.69783108218005,51.04777488875278,51.04777488885278,51.394661689490455,51.39466168959046,51.7292648845619,51.7292648846619,52.06325667844633,52.06325667854633,52.38935583882576,52.38935583892576,52.71406545105289,52.71406545115289,53.03788575246256,53.03788575256256,53.36109465268522,53.36109465278522,53.68180236623376,53.68180236633376,54.000898203925644,54.000898204025646,54.31821541998259,54.318215420082595,54.634921234852534,54.634921234952536,54.95007075579191,54.950070755891915,55.2585504456003,55.2585504457003,55.5649736041433,55.5649736042433,55.87095210727757,55.87095210737757,56.176485955003095,56.1764859551031,56.47868488716313,56.478684887263135,56.776548429088024,56.776548429188026,57.07346707826936,57.07346707836936,57.370107817820234,57.370107817920236,57.665192263440545,57.66519226354055,57.9599432175043,57.959943217604305,58.24468942487158,58.24468942497158,58.52726793712128,58.52726793722128,58.809401793962245,58.809401794062246,59.08742258827244,59.08742258837244,59.363053359760684,59.363053359860686,59.63746132887492,59.63746132897492,59.90986834864986,59.90986834874986,60.1816083853117,60.1816083854117,60.452514693082165,60.45251469318217,60.7223093623308,60.7223093624308,60.99015866416622,60.990158664266225,61.25739656481464,61.25739656491464,61.524189810054324,61.524189810154326,61.7864253373545,61.7864253374545,62.04677107916756,62.046771079267565,62.30444888852822,62.30444888862822,62.56107064129315,62.56107064139315,62.81357933152729,62.813579331627295,63.06392032664386,63.06392032674386,63.31303851938642,63.31303851948642,63.55926645197221,63.559266452072215,63.804882983371,63.804882983471,64.04805391002175,64.04805391012175,64.29022436200286,64.29022436210286,64.53039386464467,64.53039386474467,64.77028545765602,64.77028545775602,65.00372954724075,65.00372954734075,65.23289382851642,65.23289382861643,65.46150229053117,65.46150229063117,65.68872120439364,65.68872120449365,65.91316102195152,65.91316102205153,66.13665594676586,66.13665594686586,66.35926156076272,66.35926156086272,66.58025529890293,66.58025529900293,66.79997065274303,66.79997065284303,67.01812971265255,67.01812971275255,67.23556620752291,67.23556620762291,67.45166873616705,67.45166873626705,67.66388052998478,67.66388053008478,67.8748695214285,67.8748695215285,68.08185661419363,68.08185661429363,68.28545320946716,68.28545320956717,68.48877189511023,68.48877189521023,68.69025637719228,68.69025637729229,68.88684964977828,68.88684964987829,69.08272035732509,69.08272035742509,69.27836873716753,69.27836873726753,69.47390595315778,69.47390595325778,69.66916525951757,69.66916525961757,69.8641466562469,69.8641466563469,70.05723826748913,70.05723826758913,70.24832892939206,70.24832892949206,70.43936400936889,70.43936400946889,70.63034350741962,70.63034350751963,70.82032253080072,70.82032253090073,71.00935666143826,71.00935666153826,71.19477796687984,71.19477796697984,71.37697552060811,71.37697552070811,71.5591174924103,71.5591174925103,71.740981554582,71.74098155468201,71.92156723245363,71.92156723255363,72.10076336217294,72.10076336227294,72.27651341247459,72.27651341257459,72.4511518242544,72.4511518243544,72.62412277825146,72.62412277835146,72.79614883950497,72.79614883960497,72.96756349957147,72.96756349967147,73.1387002500075,73.1387002501075,73.30800279688252,73.30800279698252,73.47697185220099,73.47697185230099,73.64521834248026,73.64521834258026,73.81201970268116,73.81201970278116,73.97837640747332,73.97837640757332,74.14406612915239,74.1440661292524,74.30886654001398,74.30886654011398,74.47311113161467,74.47311113171467,74.63407638957594,74.63407638967594,74.95545108623759,74.95545108633759,75.11519354182484,75.11519354192484,75.27343528540763,75.27343528550763,75.43139911935997,75.43139911945997,75.58763991360345,75.58763991370346,75.7428802331773,75.7428802332773,75.8970089142293,75.8970089143293,76.05108201335523,76.05108201345523,76.20409905588541,76.20409905598541,76.3570605164895,76.3570605165895,76.50935499398048,76.50935499408048,76.66131597991492,76.66131598001492,76.8089971575403,76.8089971576403,76.9551776231612,76.9551776232612,77.09791200936445,77.09791200946445,77.38288054443608,77.38288054453608,77.52383630900438,77.52383630910438,77.66434741816396,77.66434741826396,77.80130128405365,77.80130128415365,77.937421421052,77.937421421152,78.0729857387894,78.0729857388894,78.34405879233815,78.34405879243815,78.47817797999717,78.47817798009717,78.60918457979508,78.60918457989509,78.73980210611035,78.73980210621035,78.8691412481255,78.8691412482255,78.9982024805102,78.9982024806102,79.12687463941225,79.12687463951225,79.25515772483168,79.25515772493168,79.38305173676845,79.38305173686845,79.51077900292694,79.51077900302694,79.63767254019407,79.63767254029408,79.76417700397856,79.76417700407856,79.88879168227592,79.88879168237592,80.01012702693389,80.01012702703389,80.13096213425703,80.13096213435703,80.25085234883662,80.25085234893662,80.36774113940726,80.36774113950726,80.48207316137767,80.48207316147767,80.59557145445673,80.59557145455673,80.7089030017575,80.70890300185751,80.82095616475817,80.82095616485817,80.93256467235011,80.93256467245011,81.04156082941573,81.04156082951573,81.14822254558551,81.14822254568551,81.25416169671611,81.25416169681611,81.46381672193363,81.46381672203363,81.56681003098137,81.56681003108137,81.66858053765509,81.66858053775509,81.77029546240271,81.77029546250272,81.87151014981552,81.87151014991552,81.97261367337615,81.97261367347615,82.0714939198931,82.0714939199931,82.1688178724795,82.1688178725795,82.26597507928761,82.26597507938762,82.36096459097817,82.36096459107817,82.45550944725998,82.45550944735999,82.54972081198524,82.54972081208524,82.64259821048431,82.64259821058431,82.73430838853545,82.73430838863545,82.8259629846605,82.82596298476051,82.91689501574636,82.91689501584636,83.00627075290166,83.00627075300166,83.09553532620477,83.09553532630477,83.18446640795133,83.18446640805134,83.27311958006743,83.27311958016743,83.36127251484871,83.36127251494871,83.44914753999953,83.44914754009953,83.5366890735938,83.53668907369381,83.62200733014441,83.62200733024441,83.70727000476893,83.70727000486893,83.7921991878369,83.7921991879369],[0.0,1e-10,1.5273357470711104,1.5273357471711104,2.357062739766534,2.357062739866534,3.083629677635945,3.083629677735945,3.760617537431648,3.760617537531648,4.417707067686558,4.417707067786558,5.021660276597897,5.021660276697897,5.614330354512641,5.614330354612641,6.19988594588766,6.19988594598766,6.784385480666939,6.784385480766939,7.357046065188706,7.357046065288706,7.915144185074475,7.915144185174475,8.461959173963647,8.461959174063647,9.001437348608729,9.001437348708729,9.539414811249337,9.539414811349337,10.073334793285259,10.073334793385259,10.58429943984535,10.58429943994535,11.094763849070615,11.094763849170615,11.578771261476279,11.578771261576279,12.059721667946903,12.059721668046903,12.534168989064812,12.534168989164812,12.996944105703484,12.996944105803484,13.459330148859515,13.459330148959515,13.911100044132048,13.911100044232048,14.36270319362631,14.36270319372631,14.784236521105013,14.784236521205013,15.199100017452725,15.199100017552725,15.61307420298297,15.61307420308297,16.02204601516497,16.02204601526497,16.43079549964261,16.430795499742608,16.83726612515049,16.837266125250487,17.243014185619177,17.243014185719176,17.642481488439515,17.642481488539513,18.03905853110309,18.03905853120309,18.435524409914482,18.43552441001448,18.830545158647492,18.83054515874749,19.22200866411064,19.222008664210637,19.613194259943327,19.613194260043326,20.00237890643672,20.00237890653672,20.388395383142893,20.38839538324289,20.770632288874832,20.77063228897483,21.15231337534586,21.152313375445857,21.526490901794517,21.526490901894515,21.899556789721345,21.899556789821343,22.642798305418236,22.642798305518234,23.005525955092025,23.005525955192024,23.367141966243985,23.367141966343983,23.72631237264791,23.72631237274791,24.081202970742787,24.081202970842785,24.42914582807621,24.429145828176207,24.77236422169185,24.772364221791847,25.113637247894278,25.113637247994276,25.454243290983612,25.45424329108361,25.793793277477203,25.7937932775772,26.13239837122724,26.132398371327238,26.470725555346814,26.470725555446812,26.808496920205474,26.808496920305473,27.14332244298128,27.143322443081278,27.476758417604795,27.476758417704794,27.805192018880067,27.805192018980065,28.13145792503777,28.131457925137767,28.45394426022124,28.453944260321236,28.77576361229161,28.775763612391607,29.096360161987967,29.096360162087965,29.415233671975482,29.41523367207548,29.733718108480357,29.733718108580355,30.051646725724314,30.051646725824313,30.366407173181052,30.36640717328105,30.678888761668034,30.678888761768032,30.98970289237227,30.98970289247227,31.30001678574168,31.300016785841677,31.6036608479801,31.603660848080096,31.90719374636633,31.90719374646633,32.20878127733936,32.208781277439364,32.50986857097757,32.50986857107757,32.81056679113313,32.81056679123313,33.11020895469295,33.11020895479295,33.40723876772647,33.40723876782647,33.70360159764688,33.70360159774688,33.99751882281927,33.997518822919275,34.29021324561764,34.290213245717645,34.57751622158513,34.57751622168513,34.86409663251342,34.864096632613425,35.15012122418081,35.15012122428081,35.43319997376533,35.433199973865335,35.713110553562636,35.71311055366264,35.99157600328156,35.99157600338156,36.26754026632636,36.26754026642636,36.541281252327494,36.541281252427495,36.814633164845986,36.81463316494599,37.08765158580793,37.087651585907935,37.34999827696029,37.349998277060294,37.610177272995074,37.610177273095076,37.86957812206458,37.86957812216458,38.385823051603374,38.385823051703376,38.64122200199428,38.64122200209428,38.89656537045909,38.896565370559095,39.150574772697716,39.15057477279772,39.40325020871013,39.403250208810135,39.653980277309344,39.653980277409346,39.90432127242592,39.90432127252592,40.15310597361192,40.153105973711924,40.40089020012828,40.40089020022828,40.64806302545763,40.64806302555763,40.894846777304345,40.89484677740435,41.14007423522049,41.14007423532049,41.38524611121054,41.38524611131054,41.62997333179186,41.62997333189186,41.871810292216416,41.87181029231642,42.11075699248421,42.110756992584214,42.34825856267362,42.34825856277362,42.584981985897755,42.58498198599776,42.82103842600878,42.821038426108785,43.056038809524075,43.05603880962408,43.29065011955672,43.290650119656725,43.524761192254545,43.524761192354546,43.75848319146973,43.75848319156973,43.99209402683273,43.99209402693273,44.223537167078156,44.22353716717816,44.452590284501646,44.45259028460165,44.681532238072954,44.681532238172956,44.90947371697461,44.90947371707461,45.13358004297594,45.133580043075945,45.35663031238154,45.35663031248154,45.57940267215668,45.579402672256684,45.80156363074481,45.80156363084481,46.023113188145935,46.02311318824594,46.24449599976878,46.24449599986878,46.46521182827853,46.46521182837853,46.684037871301165,46.684037871401166,46.902808332397704,46.902808332497706,47.12002249956368,47.12002249966368,47.337014339025295,47.3370143391253,47.55044893521704,47.55044893531704,47.76355003985224,47.76355003995224,47.975483924039516,47.97548392413952,48.1873622263007,48.1873622264007,48.39707283344431,48.397072833544314,48.60639436710528,48.60639436720528,48.81427077068787,48.81427077078787,49.02148019115736,49.02148019125736,49.22757797310502,49.22757797320502,49.43345342734831,49.43345342744831,49.63832840692195,49.63832840702195,49.84220291182594,49.842202911925945,50.04513252398638,50.045132524086384,50.24428256517259,50.24428256527259,50.443154696728335,50.44315469682834,50.640970771688345,50.640970771788346,50.838119863535255,50.83811986363526,51.035213373456074,51.035213373556076,51.23186222796816,51.23186222806816,51.42778851744105,51.42778851754105,51.62282549609648,51.622825496196484,51.81780689282582,51.81780689292582,52.012288052220335,52.012288052320336,52.20565757309301,52.205657573193015,52.5922298690601,52.5922298691601,52.78515473452405,52.78515473462405,52.9766900518357,52.976690051935705,53.166724657142886,53.16672465724289,53.356592516671796,53.3565925167718,53.54629363042243,53.546293630522435,53.73393821290768,53.73393821300768,53.921138139984194,53.921138140084196,54.10794899357806,54.107948993678065,54.29459310139366,54.29459310149366,54.47756880208721,54.477568802187214,54.65932170040675,54.65932170050675,54.83707270004769,54.837072700147694,55.192352371625205,55.19235237172521,55.54685389623744,55.54685389633744,55.72227045498253,55.72227045508253,55.896797702910156,55.89679770301016,56.0712137869856,56.071213787085604,56.24535196143059,56.245351961530595,56.418545243132016,56.41854524323202,56.59151619712908,56.59151619722908,56.764153659569594,56.764153659669596,57.10903951096798,57.109039511067984,57.280231843330114,57.280231843430116,57.45120184798788,57.451201848087884,57.62028206715853,57.62028206725853,57.78786157432471,57.78786157442471,57.95538549956479,57.95538549966479,58.12224244169178,58.122242441791784,58.28854356455785,58.28854356465785,58.454288868163005,58.454288868263006,58.618088804354954,58.618088804454956,58.78077710202507,58.78077710212507,58.94307632621255,58.94307632631255,59.10465298536083,59.10465298546083,59.264339859022,59.264339859122,59.42380440497881,59.42380440507881,59.58304662323125,59.58304662333125,59.90119756817957,59.90119756827957,60.05921698405799,60.05921698415799,60.21629150719286,60.21629150729286,60.37297695684508,60.37297695694508,60.52843960412329,60.528439604223294,60.68379108754932,60.68379108764932,60.83892024327098,60.83892024337098,60.99388265321436,60.99388265331436,61.14878948123165,61.148789481331654,61.301750941835735,61.30175094193574,61.45315610850926,61.453156108609264,61.6044501113306,61.6044501114306,61.754910385260565,61.75491038536057,61.90509274956007,61.90509274966007,62.05516395000739,62.05516395010739,62.204846076972075,62.20484607707208,62.35447262201067,62.35447262211067,62.50398800319707,62.503988003297074,62.652725237418196,62.6527252375182,62.801184562008864,62.801184562108865,62.94925481311689,62.94925481321689,63.09726948229883,63.09726948239883,63.24472833221984,63.244728332319845,63.39213160021477,63.39213160031477,63.53942370435751,63.53942370445751,63.68649348079589,63.68649348089589,63.833340929529896,63.8333409296299,63.979021157815986,63.97902115791599,64.12392323913679,64.12392323923679,64.26865857467932,64.26865857477932,64.41283809096093,64.41283809106093,64.70064130426324,64.70064130436324,64.84304219890993,64.84304219900993,64.98449820081305,64.98449820091305,65.26724345884102,65.26724345894102,65.40769898607451,65.40769898617451,65.54787660367752,65.54787660377752,65.68727607431526,65.68727607441527,65.82584181606163,65.82584181616163,65.96340708313834,65.96340708323834,66.10030536710195,66.10030536720195,66.23664783180465,66.23664783190465,66.37249005917252,66.37249005927252,66.50783204920556,66.50783204930556,66.64184007301242,66.64184007311242,66.77523669563226,66.77523669573226,66.90857773632601,66.90857773642601,67.0416964493154,67.0416964494154,67.1747039984526,67.1747039985526,67.30743363795935,67.30743363805935,67.44010769554,67.44010769564,67.57255942541629,67.57255942551629,67.70423300832728,67.70423300842728,67.83573984546001,67.83573984556001,67.9668576091101,67.9668576092101,68.097864208908,68.09786420900801,68.22875964485372,68.22875964495373,68.35959949887335,68.35959949897335,68.49038377096689,68.49038377106689,68.62100129728215,68.62100129738215,68.7504516031495,68.7504516032495,68.87979074516466,68.87979074526466,69.00868523177107,69.00868523187107,69.13746855452531,69.13746855462531,69.2658628037969,69.26586280389691,69.39409030729024,69.39409030739024,69.52220664693138,69.52220664703138,69.65026740464643,69.65026740474643,69.7782169985093,69.7782169986093,69.90499937192423,69.90499937202424,70.03150383570872,70.03150383580872,70.15789713564102,70.15789713574102,70.28384578016458,70.28384578026458,70.40918302350116,70.40918302360116,70.53446468491163,70.53446468501163,70.65941285476553,70.65941285486554,70.78258240298453,70.78258240308453,70.90547404157306,70.90547404167306,71.0282545163094,71.0282545164094,71.1507014994892,71.1507014995892,71.27275940918636,71.27275940928637,71.39392800806606,71.39392800816606,71.63598729619497,71.63598729629497,71.75637774810939,71.75637774820939,71.87654587231943,71.87654587241943,71.99604701341636,71.99604701351636,72.11538140873503,72.11538140883503,72.23260369086222,72.23260369096222,72.34871433446757,72.34871433456757,72.46443590459029,72.46443590469029,72.57982398315646,72.57982398325646,72.69498973401825,72.69498973411825,72.80948850176695,72.80948850186695,72.92359819603301,72.92359819613301,73.03665183370332,73.03665183380332,73.14953872559536,73.14953872569536,73.2618142163004,73.2618142164004,73.37397854315326,73.37397854325326,73.48603170615392,73.48603170625393,73.59741788604148,73.59741788614149,73.70835941052033,73.70835941062033,73.81874511573824,73.81874511583824,73.92907523903007,73.92907523913007,74.03929419846972,74.03929419856972,74.14817919168317,74.14817919178317,74.2565083656357,74.2565083657357,74.36461521188386,74.36461521198386,74.47244414850157,74.47244414860157,74.68804643981089,74.68804643991089,74.79565304872423,74.79565304882424,74.9030373299332,74.9030373300332,75.0102548653639,75.0102548654639,75.11697216345978,75.11697216355978,75.22346713385129,75.22346713395129,75.43634591078211,75.43634591088211,75.54250738961707,75.54250738971707,75.6481686311172,75.6481686312172,75.7527738160216,75.7527738161216,75.85493339617797,75.85493339627797,75.9560369197386,75.9560369198386,76.05708486137311,76.05708486147311,76.15791047530328,76.15791047540328,76.25868050730736,76.25868050740736,76.35906146582879,76.35906146592879,76.45860869545885,76.45860869555885,76.55793359738453,76.55793359748453,76.6568694258276,76.6568694259276,76.85435200923105,76.85435200933105,76.95239852685663,76.95239852695663,77.05033388063003,77.05033388073004,77.14793574284688,77.14793574294688,77.24414805691144,77.24414805701144,77.33924873245418,77.33924873255418,77.43368242488381,77.43368242498381,77.52794937153516,77.52794937163516,77.6217160808517,77.6217160809517,77.71531604438995,77.71531604448995,77.80869368022384,77.80869368032384,77.90184898835336,77.90184898845337,77.99439289529587,77.99439289539588,78.08671447453403,78.08671447463404,78.17853581643736,78.17853581653736,78.27024599448849,78.27024599458849,78.36184500868745,78.36184500878745,78.45311053132987,78.45311053142987,78.544209308194,78.544209308294,78.63464110194504,78.63464110204504,78.81511561596446,78.81511561606446,78.90504717238068,78.90504717248068,78.99464523724033,78.99464523734034,79.08413213824781,79.08413213834781,79.26299477641058,79.26299477651058,79.35198144008324,79.35198144018324,79.44085693990371,79.44085694000371,79.5296768577981,79.5296768578981,79.61833002991419,79.61833003001419,79.70692762010421,79.70692762020421,79.7949693910333,79.79496939113331,79.88256650655366,79.88256650665366,79.96999687629575,79.96999687639575,80.0569825906291,80.0569825907291,80.14391272303638,80.14391272313638,80.23073169159146,80.23073169169146,80.31749507822045,80.31749507832045,80.40409171907116,80.40409171917116,80.49024370451315,80.49024370461315,80.57533963335938,80.57533963345938,80.6592127598316,80.6592127599316,80.74303030437774,80.74303030447774,80.82679226699778,80.82679226709779,80.91027631998737,80.91027632008738],[0.0,1e-10,15.240452970464876,15.240452970564876,29.916527063395634,29.916527063495632,39.772091870254,39.772091870354004,49.55284340459307,49.55284340469307,57.132717411483,57.132717411583,63.78292812256482,63.78292812266482,69.73302889259682,69.73302889269682,73.75199122250223,73.75199122260223,76.53642339198709,76.53642339208709,79.0491155248101,79.0491155249101,81.39267185653638,81.39267185663638,83.42263496125383,83.42263496135384,84.79234036592916,84.79234036602917,85.81043450614902,85.81043450624902,86.82563838621212,86.82563838631212,87.79326413754082,87.79326413764082,88.69830464009036,88.69830464019036,89.45549721923624,89.45549721933624,90.19418101699362,90.19418101709363,90.79168672247833,90.79168672257833,91.36657058404376,91.36657058414376,91.92339031962942,91.92339031972942,92.36259869960526,92.36259869970526,92.7382213561323,92.7382213562323,93.06065210938968,93.06065210948968,93.36374035236717,93.36374035246718,93.6183055738667,93.61830557396671,93.85569598020395,93.85569598030395,94.03328023406661,94.03328023416661,94.2059732784332,94.20597327853321,94.36388153045945,94.36388153055945,94.51556460676343,94.51556460686344],[0.0,1e-10,7.489164303508442,7.489164303608442,14.419896995574566,14.419896995674566,20.109485278015235,20.109485278115233,25.320402012955036,25.320402013055034,30.463564379989172,30.46356438008917,34.75115415869529,34.751154158795295,38.72537303809696,38.72537303819696,42.637117832571676,42.63711783267168,45.81273559788922,45.812735597989224,48.952447438951594,48.952447439051596,52.039134122522576,52.03913412262258,55.12376427482817,55.12376427492817,57.713048301805415,57.71304830190542,60.301665345669555,60.30166534576956,62.795459623621426,62.79545962372143,65.08182215339944,65.08182215349944,66.83643239625911,66.83643239635911,68.53979610326232,68.53979610336232,70.08764158106123,70.08764158116124,71.59908089727016,71.59908089737016,73.06688840149715,73.06688840159715,74.4940099358251,74.4940099359251,75.86365975857434,75.86365975867434,77.15382742701259,77.15382742711259,78.35389679325635,78.35389679335636,79.5097785282573,79.5097785283573,80.61713724178027,80.61713724188027,81.66280001734157,81.66280001744157,82.62853598318313,82.62853598328313,83.49194562309006,83.49194562319006,84.3314550347776,84.3314550348776,85.15929224198592,85.15929224208593,85.94405345647324,85.94405345657324,86.70124603561912,86.70124603571912,87.44043007071133,87.44043007081133,88.07384170045121,88.07384170055121,88.69608136304669,88.69608136314669,89.29781129491437,89.29781129501437,89.89276023179886,89.89276023189886,90.47948304362181,90.47948304372181,91.05436690518724,91.05436690528724,91.5119173207733,91.51191732087331,91.91460837530695,91.91460837540696,92.27077735770193,92.27077735780193,92.57386560067944,92.57386560077944,92.87339660038707,92.87339660048707,93.17042641342059,93.17042641352059,93.4422776139346,93.44227761403461,93.70056682448228,93.70056682458228,93.94790639558991,93.94790639568991,94.14044218757121,94.14044218767121,94.31630340172504,94.31630340182504,94.4899969207613,94.4899969208613,94.6626899651279,94.6626899652279,94.82760153984168,94.82760153994168,94.97539388131925,94.97539388141925,95.12018479878788,95.12018479888788,95.26336384039983,95.26336384049984,95.40009537858518,95.40009537868518,95.52648867851748,95.52648867861748,95.65243732304104,95.65243732314104,95.75537505016268,95.75537505026269,95.85697881105814,95.85697881115814,95.94907806259192,95.94907806269192,96.03906520093422,96.03906520103422,96.12771837305033,96.12771837315033,96.21553781627506,96.21553781637506,96.30302376794323,96.30302376804323,96.38645223900673,96.38645223910673],[0.0,1e-10,15.297702354339226,15.297702354439226,27.58697737704444,27.58697737714444,38.148043571783504,38.148043571883505,45.727917578673434,45.727917578773436,52.99464301396329,52.99464301406329,59.91787214600705,59.91787214610705,65.86791733411296,65.86791733421296,70.17846244829491,70.17846244839491,72.79687140454416,72.79687140464416,75.3862110134475,75.3862110135475,77.64066951764893,77.64066951774893,79.86227910353023,79.86227910363023,81.76140235422807,81.76140235432807,83.1311077589034,83.1311077590034,84.14642280281868,84.14642280291868,85.11226993251242,85.11226993261242,85.86946251165831,85.86946251175831,86.60814630941569,86.60814630951569,87.20565201490041,87.20565201500041,87.78053587646583,87.78053587656584,88.27877226195095,88.27877226205095,88.76211269124352,88.76211269134352,89.2214973103906,89.2214973104906,89.5245855533681,89.5245855534681,89.82256025914518,89.82256025924518,90.09963616071181,90.09963616081181,90.37209876241283,90.37209876251283,90.5496830162755,90.5496830163755,90.7223760606421,90.7223760607421,90.84032090780848,90.84032090790848,90.92841826066368,90.92841826076368]],"coord_y":[[13033,13033,13033,12146,12146,10579,10579,9812,9812,9771,9771,9282,9282,9215,9215,8375,8375,8342,8342,8066,8066,7907,7907,7672,7672,7582,7582,7548,7548,7449,7449,6825,6825,6733,6733,6484,6484,6462,6462,6296,6296,6161,6161,6143,6143,6068,6068,6065,6065,6020,6020,5954,5954,5945,5945,5807,5807,5805,5805,5653,5653,5629,5629,5599,5599,5576,5576,5532,5532,5503,5503,5451,5451,5416,5416,5410,5410,5377,5377,5364,5364,5240,5240,5212,5212,5191,5191,5178,5178,5162,5162,5161,5161,5124,5124,4950,4950,4945,4945,4932,4932,4914,4914,4847,4847,4797,4797,4793,4793,4727,4727,4709,4709,4700,4700,4684,4684,4674,4674,4672,4672,4581,4581,4557,4557,4554,4554,4439,4439,4430,4430,4420,4420,4394,4394,4368,4368,4351,4351,4337,4337,4334,4334,4322,4322,4303,4303,4287,4287,4272,4272,4265,4265,4234,4234,4230,4230,4221,4221,4214,4214,4190,4190,4178,4178,4156,4156,4133,4133,4079,4079,4072,4072,4066,4066,4061,4061,4057,4057,4032,4032,4030,4030,3953,3953,3942,3942,3939,3939,3935,3935,3915,3915,3883,3883,3867,3867,3866,3866,3862,3862,3843,3843,3842,3842,3841,3841,3833,3833,3819,3819,3791,3791,3763,3763,3757,3757,3727,3727,3718,3718,3713,3713,3697,3697,3695,3695,3686,3686,3648,3648,3635,3635,3633,3633,3623,3623,3604,3604,3600,3600,3572,3572,3557,3557,3523,3523,3520,3520,3519,3519,3490,3490,3489,3489,3479,3479,3453,3453,3431,3431,3399,3399,3397,3397,3362,3362,3351,3351,3350,3350,3337,3337,3335,3335,3333,3333,3299,3299,3294,3294,3278,3278,3251,3251,3246,3246,3245,3245,3243,3243,3242,3242,3233,3233,3220,3220,3209,3209,3204,3204,3193,3193,3183,3183,3168,3168,3165,3165,3160,3160,3157,3157,3155,3155,3139,3139,3122,3122,3091,3091,3086,3086,3081,3081,3076,3076,3061,3061,3058,3058,3047,3047,3025,3025,3024,3024,3021,3021,3014,3014,3008,3008,3001,3001,2999,2999,2986,2986,2969,2969,2965,2965,2945,2945,2944,2944,2931,2931,2930,2930,2919,2919,2899,2899,2886,2886,2876,2876,2853,2853,2845,2845,2837,2837,2828,2828,2809,2809,2805,2805,2793,2793,2790,2790,2780,2780,2779,2779,2771,2771,2745,2745,2730,2730,2729,2729,2726,2726,2725,2725,2716,2716,2715,2715,2696,2696,2675,2675,2669,2669,2659,2659,2654,2654,2626,2626,2610,2610,2603,2603,2581,2581,2571,2571,2568,2568,2550,2550,2545,2545,2535,2535,2526,2526,2518,2518,2506,2506,2502,2502,2497,2497,2494,2494,2492,2492,2472,2472,2469,2469,2468,2468,2452,2452,2445,2445,2430,2430,2429,2429,2426,2426,2419,2419,2409,2409,2404,2404,2388,2388,2377,2377,2376,2376,2359,2359,2356,2356,2340,2340,2325,2325,2317,2317,2313,2313,2309,2309,2304,2304,2303,2303,2300,2300,2286,2286,2285,2285,2278,2278,2276,2276,2265,2265,2259,2259,2248,2248,2242,2242,2231,2231,2221,2221,2204,2204,2193,2193,2192,2192,2190,2190,2188,2188,2185,2185,2172,2172,2171,2171,2163,2163,2158,2158,2155,2155,2154,2154,2150,2150,2145,2145,2124,2124,2107,2107,2096,2096,2090,2090,2084,2084,2079,2079,2060,2060,2057,2057,2050,2050,2042,2042,2025,2025,2019,2019,2016,2016,2015,2015,2006,2006,1999,1999,1993,1993,1978,1978,1977,1977,1975,1975,1972,1972,1955,1955,1949,1949,1947,1947,1931,1931,1923,1923,1921,1921,1915,1915,1913,1913,1904,1904,1894,1894,1870,1870,1864,1864,1856,1856,1852,1852,1846,1846,1829,1829,1827,1827,1823,1823,1821,1821,1818,1818,1816,1816,1810,1810,1808,1808,1804,1804,1787,1787,1761,1761,1760,1760,1748,1748,1736,1736,1730,1730,1723,1723,1721,1721,1713,1713,1696,1696,1691,1691,1688,1688,1671,1671,1668,1668,1662,1662,1659,1659,1654,1654,1649,1649,1642,1642,1633,1633,1629,1629,1628,1628,1627,1627,1626,1626,1620,1620,1605,1605,1602,1602,1595,1595,1580,1580,1570,1570,1568,1568,1566,1566,1565,1565,1562,1562,1561,1561,1560,1560,1559,1559,1558,1558,1553,1553,1551,1551,1540,1540,1538,1538,1533,1533,1532,1532,1530,1530,1527,1527,1521,1521,1520,1520,1517,1517,1516,1516,1509,1509,1508,1508,1504,1504,1502,1502,1501,1501,0.0],[21384,21384,21384,21183,21183,19999,19999,17582,17582,15630,15630,15242,15242,15227,15227,15165,15165,14102,14102,13798,13798,13566,13566,13498,13498,13015,13015,13011,13011,12351,12351,12346,12346,12011,12011,11828,11828,11760,11760,11439,11439,11274,11274,11018,11018,10760,10760,10755,10755,10565,10565,10247,10247,10155,10155,10146,10146,10139,10139,9941,9941,9899,9899,9654,9654,9550,9550,9374,9374,9333,9333,9323,9323,9257,9257,9250,9250,9167,9167,8988,8988,8827,8827,8740,8740,8708,8708,8574,8574,8527,8527,8259,8259,8250,8250,8248,8248,8057,8057,7925,7925,7775,7775,7754,7754,7703,7703,7693,7693,7593,7593,7576,7576,7553,7553,7548,7548,7437,7437,7257,7257,7252,7252,7227,7227,7165,7165,7008,7008,7004,7004,6961,6961,6938,6938,6794,6794,6673,6673,6666,6666,6608,6608,6532,6532,6525,6525,6522,6522,6519,6519,6510,6510,6503,6503,6500,6500,6486,6486,6277,6277,6227,6227,6217,6217,6180,6180,6083,6083,6032,6032,6007,6007,5993,5993,5988,5988,5986,5986,5982,5982,5937,5937,5932,5932,5919,5919,5894,5894,5841,5841,5786,5786,5755,5755,5698,5698,5645,5645,5638,5638,5626,5626,5583,5583,5548,5548,5504,5504,5471,5471,5448,5448,5421,5421,5393,5393,5379,5379,5335,5335,5311,5311,5304,5304,5293,5293,5277,5277,5268,5268,5207,5207,5187,5187,5168,5168,5166,5166,5139,5139,5132,5132,5053,5053,5043,5043,5039,5039,5013,5013,4941,4941,4859,4859,4857,4857,4796,4796,4780,4780,4767,4767,4764,4764,4711,4711,4657,4657,4655,4655,4627,4627,4568,4568,4522,4522,4519,4519,4511,4511,4510,4510,4505,4505,4499,4499,4491,4491,4471,4471,4447,4447,4414,4414,4403,4403,4400,4400,4342,4342,4317,4317,4270,4270,4156,4156,4144,4144,4096,4096,4083,4083,4000,4000,3981,3981,3967,3967,3954,3954,3796,3796,3793,3793,3732,3732,3721,3721,3699,3699,3683,3683,3680,3680,3675,3675,3668,3668,3643,3643,3641,3641,3635,3635,3625,3625,3592,3592,3585,3585,3544,3544,3526,3526,3519,3519,3516,3516,3492,3492,3439,3439,3412,3412,3372,3372,3353,3353,3343,3343,3336,3336,3323,3323,3171,3171,3168,3168,3149,3149,3148,3148,3100,3100,3097,3097,3096,3096,3089,3089,3080,3080,3078,3078,3068,3068,3060,3060,3006,3006,2968,2968,2926,2926,2895,2895,2850,2850,2841,2841,2834,2834,2822,2822,2749,2749,2746,2746,2737,2737,2720,2720,2694,2694,2653,2653,2589,2589,2587,2587,2579,2579,2574,2574,2567,2567,2564,2564,2555,2555,2532,2532,2529,2529,2522,2522,2513,2513,2508,2508,2505,2505,2498,2498,2495,2495,2475,2475,2468,2468,2460,2460,2459,2459,2458,2458,2404,2404,2394,2394,2377,2377,2333,2333,2330,2330,2326,2326,2322,2322,2298,2298,2294,2294,2283,2283,2275,2275,2270,2270,2259,2259,2235,2235,2214,2214,2201,2201,2195,2195,2191,2191,2178,2178,2130,2130,2125,2125,2122,2122,2112,2112,2092,2092,2041,2041,2025,2025,1965,1965,1950,1950,1938,1938,1914,1914,1907,1907,1893,1893,1889,1889,1878,1878,1858,1858,1828,1828,1827,1827,1816,1816,1802,1802,1788,1788,1786,1786,1785,1785,1772,1772,1762,1762,1756,1756,1739,1739,1735,1735,1728,1728,1723,1723,1719,1719,1717,1717,1715,1715,1704,1704,1701,1701,1672,1672,1654,1654,1652,1652,1644,1644,1639,1639,1638,1638,1619,1619,1605,1605,1592,1592,1588,1588,1572,1572,1550,1550,1533,1533,1530,1530,1526,1526,1521,1521,1516,1516,1513,1513,0.0],[31396,31396,31396,29912,29912,20314,20314,17711,17711,16678,16678,16035,16035,15953,15953,13399,13399,12327,12327,12023,12023,11966,11966,11785,11785,11649,11649,11439,11439,11044,11044,11023,11023,10847,10847,10634,10634,10615,10615,10429,10429,10392,10392,10377,10377,10298,10298,10296,10296,9995,9995,9891,9891,9810,9810,9672,9672,9640,9640,9610,9610,9605,9605,9511,9511,9434,9434,9402,9402,9359,9359,9233,9233,9128,9128,9105,9105,8989,8989,8940,8940,8541,8541,8238,8238,8228,8228,8197,8197,8164,8164,8121,8121,8093,8093,8025,8025,7919,7919,7654,7654,7567,7567,7561,7561,7453,7453,7369,7369,7364,7364,7235,7235,7148,7148,7121,7121,7082,7082,6996,6996,6880,6880,6847,6847,6836,6836,6821,6821,6768,6768,6757,6757,6679,6679,6668,6668,6618,6618,6584,6584,6543,6543,6533,6533,6503,6503,6464,6464,6390,6390,6362,6362,6336,6336,6327,6327,6275,6275,6229,6229,6184,6184,6107,6107,6098,6098,6006,6006,5945,5945,5912,5912,5881,5881,5868,5868,5743,5743,5737,5737,5708,5708,5656,5656,5570,5570,5568,5568,5548,5548,5533,5533,5519,5519,5504,5504,5469,5469,5406,5406,5399,5399,5396,5396,5389,5389,5361,5361,5359,5359,5355,5355,5208,5208,5160,5160,5126,5126,5091,5091,5087,5087,5070,5070,5008,5008,4973,4973,4889,4889,4878,4878,4876,4876,4788,4788,4778,4778,4776,4776,4772,4772,4754,4754,4702,4702,4683,4683,4669,4669,4663,4663,4641,4641,4605,4605,4597,4597,4543,4543,4536,4536,4519,4519,4500,4500,4496,4496,4485,4485,4424,4424,4396,4396,4361,4361,4352,4352,4222,4222,4203,4203,4116,4116,4113,4113,4108,4108,4094,4094,4081,4081,4079,4079,4031,4031,3968,3968,3955,3955,3938,3938,3926,3926,3914,3914,3912,3912,3887,3887,3879,3879,3844,3844,3832,3832,3776,3776,3771,3771,3770,3770,3769,3769,3750,3750,3728,3728,3679,3679,3674,3674,3673,3673,3653,3653,3606,3606,3601,3601,3597,3597,3572,3572,3564,3564,3549,3549,3522,3522,3508,3508,3505,3505,3490,3490,3464,3464,3460,3460,3456,3456,3455,3455,3446,3446,3418,3418,3393,3393,3358,3358,3300,3300,3280,3280,3275,3275,3202,3202,3192,3192,3126,3126,3124,3124,3113,3113,3069,3069,3065,3065,3050,3050,3031,3031,3020,3020,3012,3012,3011,3011,2993,2993,2987,2987,2971,2971,2958,2958,2943,2943,2922,2922,2911,2911,2908,2908,2897,2897,2895,2895,2850,2850,2809,2809,2801,2801,2797,2797,2780,2780,2773,2773,2754,2754,2734,2734,2733,2733,2731,2731,2719,2719,2718,2718,2715,2715,2697,2697,2675,2675,2665,2665,2662,2662,2648,2648,2592,2592,2582,2582,2568,2568,2565,2565,2557,2557,2553,2553,2511,2511,2478,2478,2477,2477,2468,2468,2461,2461,2439,2439,2430,2430,2413,2413,2411,2411,2378,2378,2371,2371,2369,2369,2360,2360,2359,2359,2355,2355,2347,2347,2320,2320,2319,2319,2314,2314,2286,2286,2239,2239,2238,2238,2217,2217,2211,2211,2193,2193,2176,2176,2163,2163,2142,2142,2124,2124,2112,2112,2105,2105,2082,2082,2050,2050,2048,2048,2041,2041,2027,2027,2026,2026,2015,2015,2009,2009,2005,2005,2000,2000,1996,1996,1990,1990,1988,1988,1984,1984,1962,1962,1941,1941,1940,1940,1939,1939,1920,1920,1915,1915,1904,1904,1897,1897,1891,1891,1888,1888,1883,1883,1876,1876,1869,1869,1866,1866,1860,1860,1850,1850,1824,1824,1817,1817,1808,1808,1805,1805,1800,1800,1793,1793,1785,1785,1774,1774,1768,1768,1767,1767,1737,1737,1732,1732,1730,1730,1725,1725,1722,1722,1710,1710,1664,1664,1650,1650,1639,1639,1635,1635,1608,1608,1603,1603,1601,1601,1591,1591,1563,1563,1557,1557,1549,1549,1547,1547,1537,1537,1512,1512,0.0],[10105,10105,10105,6612,6612,6395,6395,6164,6164,5417,5417,5322,5322,5145,5145,4977,4977,4972,4972,4947,4947,4827,4827,4782,4782,4659,4659,4643,4643,4547,4547,4539,4539,4461,4461,4288,4288,4277,4277,4193,4193,4179,4179,4175,4175,4134,4134,4133,4133,4113,4113,4108,4108,4056,4056,4044,4044,4042,4042,4022,4022,4003,4003,3991,3991,3983,3983,3976,3976,3965,3965,3937,3937,3928,3928,3904,3904,3864,3864,3823,3823,3805,3805,3790,3790,3789,3789,3784,3784,3711,3711,3699,3699,3680,3680,3677,3677,3671,3671,3648,3648,3615,3615,3608,3608,3573,3573,3570,3570,3517,3517,3485,3485,3476,3476,3457,3457,3421,3421,3383,3383,3357,3357,3351,3351,3346,3346,3345,3345,3344,3344,3319,3319,3297,3297,3232,3232,3206,3206,3198,3198,3197,3197,3192,3192,3175,3175,3165,3165,3164,3164,3116,3116,3115,3115,3106,3106,3103,3103,3101,3101,3096,3096,3094,3094,3088,3088,3061,3061,3055,3055,3053,3053,3041,3041,3040,3040,3029,3029,3028,3028,2996,2996,2994,2994,2990,2990,2987,2987,2981,2981,2977,2977,2967,2967,2961,2961,2935,2935,2929,2929,2914,2914,2904,2904,2872,2872,2860,2860,2847,2847,2829,2829,2812,2812,2807,2807,2800,2800,2795,2795,2793,2793,2790,2790,2788,2788,2783,2783,2782,2782,2755,2755,2754,2754,2719,2719,2700,2700,2698,2698,2695,2695,2694,2694,2692,2692,2687,2687,2655,2655,2653,2653,2647,2647,2645,2645,2617,2617,2612,2612,2606,2606,2598,2598,2596,2596,2595,2595,2575,2575,2573,2573,2570,2570,2569,2569,2536,2536,2514,2514,2511,2511,2508,2508,2478,2478,2474,2474,2470,2470,2455,2455,2452,2452,2448,2448,2444,2444,2429,2429,2426,2426,2423,2423,2403,2403,2400,2400,2395,2395,2380,2380,2378,2378,2370,2370,2365,2365,2341,2341,2335,2335,2332,2332,2325,2325,2311,2311,2307,2307,2306,2306,2295,2295,2292,2292,2288,2288,2279,2279,2261,2261,2224,2224,2212,2212,2211,2211,2210,2210,2208,2208,2206,2206,2197,2197,2192,2192,2191,2191,2186,2186,2172,2172,2157,2157,2147,2147,2145,2145,2134,2134,2122,2122,2110,2110,2109,2109,2107,2107,2104,2104,2100,2100,2089,2089,2087,2087,2085,2085,2079,2079,2077,2077,2076,2076,2074,2074,2066,2066,2056,2056,2054,2054,2051,2051,2050,2050,2048,2048,2042,2042,2037,2037,2036,2036,2031,2031,2026,2026,2015,2015,2014,2014,2013,2013,2011,2011,2007,2007,2005,2005,2001,2001,2000,2000,1997,1997,1985,1985,1977,1977,1976,1976,1962,1962,1961,1961,1956,1956,1955,1955,1947,1947,1946,1946,1945,1945,1941,1941,1937,1937,1936,1936,1934,1934,1932,1932,1910,1910,1909,1909,1906,1906,1905,1905,1902,1902,1898,1898,1897,1897,1895,1895,1890,1890,1883,1883,1879,1879,1878,1878,1871,1871,1861,1861,1855,1855,1852,1852,1848,1848,1843,1843,1841,1841,1838,1838,1831,1831,1830,1830,1828,1828,1825,1825,1817,1817,1815,1815,1811,1811,1808,1808,1804,1804,1797,1797,1796,1796,1793,1793,1790,1790,1789,1789,1786,1786,1783,1783,1781,1781,1779,1779,1775,1775,1772,1772,1769,1769,1767,1767,1757,1757,1755,1755,1752,1752,1729,1729,1727,1727,1719,1719,1717,1717,1716,1716,1710,1710,1705,1705,1702,1702,1696,1696,1692,1692,1691,1691,1688,1688,1685,1685,1683,1683,1675,1675,1669,1669,1666,1666,1663,1663,1659,1659,1656,1656,1653,1653,1650,1650,1649,1649,1647,1647,1641,1641,1640,1640,1628,1628,1626,1626,1608,1608,1607,1607,1603,1603,1602,1602,1598,1598,1596,1596,1588,1588,1585,1585,1578,1578,1576,1576,1574,1574,1572,1572,1571,1571,1568,1568,1565,1565,1564,1564,1559,1559,1556,1556,1539,1539,1536,1536,1523,1523,1514,1514,0.0],[58671,58671,58671,40204,40204,29806,29806,26344,26344,26251,26251,25187,25187,22075,22075,21857,21857,21796,21796,20794,20794,20786,20786,20222,20222,20182,20182,20024,20024,19840,19840,19386,19386,18444,18444,18252,18252,17216,17216,16798,16798,16426,16426,15594,15594,15057,15057,14469,14469,14285,14285,14277,14277,14193,14193,14176,14176,14174,14174,13888,13888,13505,13505,13318,13318,12707,12707,12544,12544,12309,12309,12305,12305,12248,12248,12207,12207,12118,12118,12107,12107,12086,12086,11900,11900,11895,11895,11632,11632,11467,11467,11297,11297,11153,11153,11144,11144,11066,11066,10968,10968,10898,10898,10888,10888,10846,10846,10684,10684,10664,10664,10394,10394,10023,10023,9257,9257,9190,9190,9105,9105,8958,8958,8927,8927,8878,8878,8853,8853,8851,8851,8734,8734,8506,8506,8486,8486,8453,8453,8424,8424,8418,8418,8341,8341,8297,8297,8286,8286,8260,8260,8159,8159,8142,8142,8087,8087,8071,8071,8042,8042,7936,7936,7882,7882,7828,7828,7762,7762,7728,7728,7616,7616,7579,7579,7495,7495,7396,7396,7380,7380,7331,7331,7274,7274,7149,7149,7058,7058,6958,6958,6792,6792,6704,6704,6613,6613,6519,6519,6518,6518,6420,6420,6164,6164,6158,6158,6128,6128,6123,6123,5942,5942,5889,5889,5845,5845,5801,5801,5659,5659,5625,5625,5624,5624,5557,5557,5462,5462,5438,5438,5380,5380,5348,5348,5310,5310,5254,5254,5126,5126,5058,5058,4947,4947,4919,4919,4871,4871,4794,4794,4746,4746,4744,4744,4690,4690,4576,4576,4512,4512,4500,4500,4467,4467,4438,4438,4398,4398,4387,4387,4309,4309,4296,4296,4288,4288,4245,4245,4215,4215,4101,4101,4029,4029,4003,4003,3874,3874,3854,3854,3764,3764,3706,3706,3578,3578,3567,3567,3494,3494,3460,3460,3456,3456,3372,3372,3354,3354,3351,3351,3347,3347,3327,3327,3296,3296,3285,3285,3279,3279,3230,3230,3207,3207,3206,3206,3156,3156,3095,3095,3082,3082,2994,2994,2941,2941,2920,2920,2910,2910,2897,2897,2813,2813,2691,2691,2584,2584,2491,2491,2487,2487,2481,2481,2467,2467,2466,2466,2450,2450,2440,2440,2397,2397,2286,2286,2277,2277,2258,2258,2224,2224,2221,2221,2215,2215,2212,2212,2189,2189,2165,2165,2115,2115,2082,2082,2053,2053,2020,2020,1974,1974,1867,1867,1824,1824,1819,1819,1818,1818,1791,1791,1776,1776,1756,1756,1747,1747,1732,1732,1719,1719,1711,1711,1653,1653,1625,1625,1619,1619,1607,1607,1564,1564,1543,1543,1541,1541,1503,1503,0.0],[15759,15759,15759,11470,11470,9987,9987,9532,9532,8909,8909,8901,8901,8823,8823,8546,8546,8459,8459,8233,8233,8187,8187,7671,7671,7620,7620,7582,7582,7513,7513,7494,7494,7367,7367,6915,6915,6912,6912,6850,6850,6763,6763,6701,6701,6689,6689,6664,6664,6481,6481,6453,6453,6343,6343,6079,6079,5827,5827,5753,5753,5705,5705,5673,5673,5553,5553,5524,5524,5470,5470,5448,5448,5441,5441,5393,5393,5311,5311,5263,5263,5156,5156,5103,5103,5077,5077,5006,5006,5002,5002,4944,4944,4942,4942,4924,4924,4888,4888,4883,4883,4866,4866,4763,4763,4753,4753,4729,4729,4712,4712,4708,4708,4707,4707,4646,4646,4632,4632,4593,4593,4568,4568,4534,4534,4528,4528,4521,4521,4467,4467,4357,4357,4334,4334,4328,4328,4310,4310,4283,4283,4250,4250,4241,4241,4219,4219,4210,4210,4205,4205,4202,4202,4198,4198,4177,4177,4165,4165,4136,4136,4084,4084,4045,4045,4038,4038,4016,4016,4010,4010,4000,4000,3985,3985,3960,3960,3938,3938,3932,3932,3874,3874,3852,3852,3845,3845,3835,3835,3831,3831,3820,3820,3803,3803,3799,3799,3795,3795,3768,3768,3756,3756,3744,3744,3730,3730,3711,3711,3706,3706,3662,3662,3635,3635,3618,3618,3616,3616,3599,3599,3598,3598,3596,3596,3583,3583,3581,3581,3511,3511,3507,3507,3484,3484,3462,3462,3452,3452,3434,3434,3398,3398,3397,3397,3393,3393,3389,3389,3351,3351,3339,3339,3335,3335,3315,3315,3307,3307,3284,3284,3274,3274,3258,3258,3254,3254,3252,3252,3248,3248,3234,3234,3220,3220,3219,3219,3217,3217,3216,3216,3199,3199,3186,3186,3174,3174,3148,3148,3138,3138,3129,3129,3105,3105,3100,3100,3097,3097,3083,3083,3081,3081,3064,3064,3044,3044,3041,3041,3025,3025,3022,3022,3007,3007,2994,2994,2991,2991,2941,2941,2938,2938,2935,2935,2928,2928,2912,2912,2899,2899,2876,2876,2872,2872,2864,2864,2852,2852,2818,2818,2815,2815,2811,2811,2807,2807,2804,2804,2797,2797,2789,2789,2784,2784,2783,2783,2773,2773,2758,2758,2754,2754,2704,2704,2702,2702,2697,2697,2695,2695,2691,2691,2685,2685,2683,2683,2677,2677,2673,2673,2646,2646,2638,2638,2618,2618,2617,2617,2605,2605,2597,2597,2582,2582,2581,2581,2570,2570,2553,2553,2549,2549,2547,2547,2544,2544,2538,2538,2529,2529,2508,2508,2505,2505,2501,2501,2494,2494,2491,2491,2489,2489,2483,2483,2474,2474,2473,2473,2470,2470,2468,2468,2463,2463,2460,2460,2456,2456,2447,2447,2445,2445,2412,2412,2411,2411,2410,2410,2405,2405,2374,2374,2370,2370,2344,2344,2338,2338,2335,2335,2315,2315,2309,2309,2306,2306,2304,2304,2297,2297,2290,2290,2279,2279,2273,2273,2267,2267,2265,2265,2255,2255,2244,2244,2232,2232,2229,2229,2227,2227,2201,2201,2191,2191,2189,2189,2167,2167,2165,2165,2164,2164,2153,2153,2144,2144,2140,2140,2135,2135,2134,2134,2132,2132,2116,2116,2110,2110,2109,2109,2103,2103,2102,2102,2090,2090,2089,2089,2088,2088,2087,2087,2085,2085,2084,2084,2078,2078,2077,2077,2076,2076,2069,2069,2068,2068,2066,2066,2058,2058,2052,2052,2051,2051,2049,2049,2040,2040,2035,2035,2026,2026,2021,2021,2009,2009,1972,1972,1963,1963,1961,1961,1951,1951,1942,1942,1941,1941,1938,1938,1937,1937,1934,1934,1916,1916,1909,1909,1903,1903,1880,1880,1877,1877,1873,1873,1872,1872,1870,1870,1859,1859,1852,1852,1845,1845,1842,1842,1837,1837,1834,1834,1824,1824,1822,1822,1820,1820,1807,1807,1802,1802,1799,1799,1795,1795,1793,1793,1785,1785,1783,1783,1782,1782,1770,1770,1756,1756,1752,1752,1751,1751,1746,1746,1745,1745,1722,1722,1716,1716,1714,1714,1711,1711,1705,1705,1702,1702,1692,1692,1689,1689,1688,1688,1686,1686,1685,1685,1682,1682,1668,1668,1666,1666,1663,1663,1660,1660,1656,1656,1654,1654,1649,1649,1643,1643,1630,1630,1628,1628,1622,1622,1618,1618,1615,1615,1614,1614,1613,1613,1610,1610,1605,1605,1601,1601,1600,1600,1599,1599,1598,1598,1594,1594,1592,1592,1586,1586,1582,1582,1581,1581,1573,1573,1571,1571,1567,1567,1566,1566,1558,1558,1557,1557,1554,1554,1540,1540,1534,1534,1532,1532,1531,1531,1519,1519,1518,1518,1511,1511,1509,1509,1501,1501,0.0],[65535,65535,65535,60052,60052,58737,58737,57086,57086,55943,55943,52531,52531,52156,52156,51981,51981,49888,49888,49641,49641,46429,46429,40777,40777,40552,40552,39146,39146,37388,37388,36925,36925,36002,36002,33484,33484,32093,32093,30909,30909,28072,28072,27447,27447,27122,27122,26055,26055,25972,25972,24641,24641,24512,24512,23778,23778,23507,23507,22399,22399,21827,21827,21703,21703,21278,21278,20788,20788,20586,20586,20247,20247,20149,20149,19647,19647,19117,19117,19096,19096,18419,18419,16780,16780,13667,13667,13586,13586,13348,13348,13131,13131,12932,12932,12560,12560,10896,10896,10070,10070,9914,9914,9503,9503,9483,9483,8860,8860,8514,8514,7877,7877,7208,7208,6635,6635,6627,6627,6475,6475,6270,6270,5931,5931,5707,5707,5653,5653,5338,5338,5295,5295,5096,5096,5063,5063,4709,4709,4593,4593,4142,4142,3779,3779,3657,3657,3617,3617,3390,3390,3293,3293,3257,3257,3119,3119,3070,3070,2708,2708,2642,2642,2211,2211,2090,2090,2005,2005,1973,1973,1810,1810,1803,1803,1564,1564,0.0],[163882,163882,163882,147612,147612,135427,135427,107261,107261,105640,105640,91813,91813,91117,91117,83979,83979,79632,79632,62971,62971,61464,61464,60158,60158,57926,57926,46088,46088,24734,24734,24643,24643,24154,24154,24131,24131,22405,22405,21441,21441,16056,16056,14629,14629,13602,13602,10753,10753,7082,7082,5625,5625,3617,3617,2658,2658,2024,2024,0.0],[142126,142126,142126,135599,135599,116519,116519,115258,115258,107710,107710,106037,106037,89963,89963,86370,86370,83684,83684,72229,72229,60331,60331,55889,55889,55462,55462,53508,53508,49295,49295,46344,46344,36364,36364,27021,27021,26669,26669,24813,24813,23945,23945,22545,22545,22013,22013,21613,21613,20680,20680,20428,20428,18535,18535,14800,14800,13774,13774,11743,11743,11353,11353,7715,7715,6117,6117,5750,5750,4130,4130,2228,2228,2174,2174,2037,2037,0.0],[163883,163883,163883,146585,146585,135429,135429,127343,127343,105640,105640,100360,100360,97930,97930,89522,89522,75634,75634,74452,74452,61466,61466,58430,58430,54497,54497,49328,49328,36271,36271,33825,33825,33582,33582,29921,29921,26845,26845,24737,24737,24677,24677,24641,24641,22304,22304,21736,21736,20985,20985,14629,14629,13602,13602,12237,12237,10702,10702,9511,9511,9463,9463,6615,6615,5625,5625,1723,1723,0.0],[13445,13445,13445,11030,11030,9232,9232,8430,8430,8323,8323,8293,8293,8115,8115,8068,8068,7924,7924,7890,7890,7638,7638,7616,7616,7603,7603,7396,7396,7377,7377,7283,7283,7165,7165,7159,7159,6852,6852,6790,6790,6706,6706,6647,6647,6646,6646,6605,6605,6581,6581,6573,6573,6477,6477,6475,6475,6394,6394,6347,6347,6273,6273,6260,6260,6129,6129,6089,6089,6040,6040,6002,6002,5923,5923,5746,5746,5678,5678,5661,5661,5647,5647,5583,5583,5581,5581,5494,5494,5453,5453,5348,5348,5341,5341,5306,5306,5287,5287,5185,5185,5174,5174,5162,5162,5136,5136,4990,4990,4951,4951,4839,4839,4835,4835,4817,4817,4754,4754,4693,4693,4668,4668,4657,4657,4655,4655,4623,4623,4595,4595,4520,4520,4441,4441,4424,4424,4319,4319,4318,4318,4317,4317,4313,4313,4275,4275,4270,4270,4264,4264,4213,4213,4188,4188,4164,4164,4101,4101,4025,4025,4013,4013,3970,3970,3956,3956,3953,3953,3926,3926,3919,3919,3888,3888,3873,3873,3860,3860,3849,3849,3845,3845,3816,3816,3797,3797,3781,3781,3767,3767,3758,3758,3753,3753,3726,3726,3686,3686,3672,3672,3661,3661,3644,3644,3637,3637,3617,3617,3598,3598,3574,3574,3530,3530,3528,3528,3526,3526,3496,3496,3460,3460,3432,3432,3425,3425,3381,3381,3379,3379,3376,3376,3351,3351,3346,3346,3344,3344,3333,3333,3291,3291,3288,3288,3243,3243,3232,3232,3219,3219,3218,3218,3201,3201,3164,3164,3156,3156,3149,3149,3089,3089,3081,3081,3048,3048,3026,3026,3020,3020,3013,3013,2998,2998,2966,2966,2964,2964,2962,2962,2956,2956,2950,2950,2902,2902,2895,2895,2893,2893,2886,2886,2870,2870,2857,2857,2853,2853,2852,2852,2822,2822,2821,2821,2820,2820,2790,2790,2788,2788,2768,2768,2765,2765,2756,2756,2734,2734,2707,2707,2705,2705,2703,2703,2691,2691,2658,2658,2655,2655,2652,2652,2648,2648,2647,2647,2630,2630,2615,2615,2597,2597,2586,2586,2570,2570,2565,2565,2561,2561,2556,2556,2552,2552,2550,2550,2549,2549,2544,2544,2531,2531,2521,2521,2518,2518,2495,2495,2478,2478,2468,2468,2458,2458,2456,2456,2433,2433,2428,2428,2424,2424,2411,2411,2408,2408,2386,2386,2378,2378,2373,2373,2364,2364,2363,2363,2362,2362,2346,2346,2327,2327,2304,2304,2303,2303,2297,2297,2294,2294,2285,2285,2269,2269,2260,2260,2253,2253,2252,2252,2243,2243,2236,2236,2235,2235,2223,2223,2220,2220,2215,2215,2213,2213,2211,2211,2206,2206,2204,2204,2187,2187,2182,2182,2180,2180,2170,2170,2164,2164,2161,2161,2158,2158,2155,2155,2141,2141,2132,2132,2125,2125,2123,2123,2104,2104,2092,2092,2077,2077,2074,2074,2062,2062,2053,2053,2046,2046,2042,2042,2028,2028,2019,2019,2010,2010,2003,2003,2000,2000,1992,1992,1986,1986,1982,1982,1981,1981,1974,1974,1953,1953,1950,1950,1942,1942,1939,1939,1930,1930,1927,1927,1913,1913,1912,1912,1906,1906,1905,1905,1897,1897,1895,1895,1884,1884,1874,1874,1870,1870,1855,1855,1852,1852,1849,1849,1837,1837,1821,1821,1819,1819,1816,1816,1815,1815,1802,1802,1801,1801,1798,1798,1790,1790,1782,1782,1774,1774,1770,1770,1769,1769,1764,1764,1762,1762,1756,1756,1754,1754,1736,1736,1733,1733,1724,1724,1723,1723,1722,1722,1720,1720,1718,1718,1715,1715,1711,1711,1701,1701,1693,1693,1690,1690,1679,1679,1670,1670,1669,1669,1654,1654,1649,1649,1640,1640,1638,1638,1635,1635,1634,1634,1631,1631,1627,1627,1626,1626,1624,1624,1623,1623,1620,1620,1618,1618,1615,1615,1614,1614,1612,1612,1611,1611,1607,1607,1599,1599,1587,1587,1586,1586,1583,1583,1572,1572,1570,1570,1568,1568,1564,1564,1557,1557,1552,1552,1536,1536,1532,1532,1528,1528,1522,1522,1518,1518,1517,1517,1515,1515,1510,1510,1504,1504,0.0],[20314,20314,20314,19376,19376,15562,15562,13821,13821,12801,12801,12450,12450,12440,12440,12145,12145,12036,12036,11715,11715,11640,11640,11453,11453,11336,11336,10946,10946,10875,10875,10517,10517,10258,10258,9836,9836,9818,9818,9798,9798,9695,9695,9663,9663,9499,9499,9465,9465,9187,9187,8897,8897,8728,8728,8723,8723,8701,8701,8668,8668,8471,8471,8119,8119,8076,8076,8032,8032,7951,7951,7914,7914,7893,7893,7876,7876,7385,7385,7343,7343,7201,7201,7196,7196,7117,7117,7095,7095,7076,7076,7069,7069,7031,7031,6930,6930,6798,6798,6774,6774,6736,6736,6525,6525,6221,6221,6219,6219,6189,6189,6109,6109,6084,6084,6043,6043,6025,6025,6023,6023,5998,5998,5976,5976,5950,5950,5853,5853,5829,5829,5803,5803,5763,5763,5745,5745,5705,5705,5699,5699,5681,5681,5673,5673,5549,5549,5446,5446,5400,5400,5386,5386,5324,5324,5287,5287,5223,5223,5195,5195,5182,5182,5072,5072,5066,5066,5007,5007,5002,5002,4970,4970,4957,4957,4901,4901,4876,4876,4850,4850,4825,4825,4811,4811,4809,4809,4747,4747,4716,4716,4690,4690,4644,4644,4624,4624,4609,4609,4574,4574,4558,4558,4549,4549,4536,4536,4532,4532,4516,4516,4495,4495,4494,4494,4453,4453,4372,4372,4351,4351,4332,4332,4313,4313,4310,4310,4289,4289,4284,4284,4250,4250,4241,4241,4222,4222,4193,4193,4174,4174,4155,4155,4151,4151,4132,4132,4096,4096,4093,4093,4086,4086,4049,4049,4041,4041,4028,4028,3991,3991,3981,3981,3978,3978,3975,3975,3955,3955,3949,3949,3944,3944,3907,3907,3895,3895,3882,3882,3872,3872,3853,3853,3847,3847,3833,3833,3797,3797,3775,3775,3761,3761,3747,3747,3740,3740,3729,3729,3711,3711,3695,3695,3690,3690,3663,3663,3645,3645,3641,3641,3631,3631,3630,3630,3609,3609,3538,3538,3522,3522,3513,3513,3481,3481,3463,3463,3458,3458,3454,3454,3427,3427,3422,3422,3372,3372,3352,3352,3341,3341,3336,3336,3281,3281,3265,3265,3251,3251,3192,3192,3185,3185,3168,3168,3160,3160,3146,3146,3142,3142,3131,3131,3127,3127,3103,3103,3097,3097,3094,3094,3082,3082,3067,3067,3061,3061,3055,3055,3032,3032,3020,3020,3014,3014,2996,2996,2991,2991,2960,2960,2955,2955,2931,2931,2915,2915,2912,2912,2906,2906,2892,2892,2857,2857,2839,2839,2838,2838,2817,2817,2816,2816,2800,2800,2798,2798,2781,2781,2767,2767,2765,2765,2746,2746,2744,2744,2735,2735,2707,2707,2695,2695,2694,2694,2661,2661,2660,2660,2653,2653,2648,2648,2643,2643,2641,2641,2614,2614,2611,2611,2608,2608,2606,2606,2586,2586,2582,2582,2580,2580,2570,2570,2565,2565,2553,2553,2551,2551,2524,2524,2515,2515,2509,2509,2508,2508,2507,2507,2467,2467,2451,2451,2447,2447,2434,2434,2422,2422,2419,2419,2405,2405,2397,2397,2394,2394,2380,2380,2374,2374,2367,2367,2345,2345,2343,2343,2336,2336,2313,2313,2291,2291,2272,2272,2262,2262,2219,2219,2185,2185,2184,2184,2181,2181,2179,2179,2164,2164,2155,2155,2142,2142,2123,2123,2116,2116,2107,2107,2089,2089,2079,2079,2073,2073,2072,2072,2059,2059,2049,2049,2039,2039,2029,2029,2011,2011,1992,1992,1946,1946,1942,1942,1933,1933,1916,1916,1905,1905,1888,1888,1877,1877,1844,1844,1842,1842,1824,1824,1823,1823,1809,1809,1802,1802,1800,1800,1799,1799,1797,1797,1784,1784,1770,1770,1738,1738,1732,1732,1731,1731,1729,1729,1702,1702,1696,1696,1693,1693,1668,1668,1636,1636,1622,1622,1606,1606,1584,1584,1582,1582,1581,1581,1580,1580,1574,1574,1569,1569,1554,1554,1550,1550,1549,1549,1542,1542,1538,1538,1528,1528,1524,1524,1516,1516,1514,1514,1505,1505,1504,1504,0.0],[13680,13680,13680,13172,13172,12529,12529,10778,10778,10137,10137,9615,9615,9508,9508,9494,9494,8610,8610,8384,8384,8312,8312,8184,8184,8093,8093,7988,7988,7884,7884,7866,7866,7843,7843,7528,7528,7523,7523,7450,7450,7380,7380,7364,7364,7082,7082,7005,7005,6957,6957,6743,6743,6730,6730,6458,6458,6456,6456,6288,6288,6269,6269,6241,6241,6213,6213,6143,6143,6111,6111,6091,6091,6044,6044,5992,5992,5860,5860,5645,5645,5640,5640,5575,5575,5564,5564,5561,5561,5430,5430,5302,5302,5163,5163,5106,5106,5089,5089,5039,5039,5022,5022,5016,5016,4993,4993,4982,4982,4978,4978,4934,4934,4845,4845,4806,4806,4777,4777,4774,4774,4744,4744,4740,4740,4702,4702,4692,4692,4675,4675,4670,4670,4649,4649,4641,4641,4607,4607,4548,4548,4479,4479,4474,4474,4472,4472,4467,4467,4446,4446,4426,4426,4398,4398,4335,4335,4276,4276,4237,4237,4195,4195,4171,4171,4143,4143,4109,4109,4087,4087,3987,3987,3957,3957,3864,3864,3824,3824,3811,3811,3768,3768,3745,3745,3718,3718,3713,3713,3699,3699,3696,3696,3685,3685,3670,3670,3663,3663,3639,3639,3637,3637,3626,3626,3589,3589,3570,3570,3559,3559,3557,3557,3555,3555,3517,3517,3515,3515,3350,3350,3326,3326,3314,3314,3259,3259,3251,3251,3244,3244,3243,3243,3237,3237,3199,3199,3194,3194,3186,3186,3147,3147,3144,3144,3110,3110,3105,3105,3101,3101,3095,3095,3066,3066,3057,3057,3054,3054,3039,3039,3033,3033,3008,3008,2985,2985,2982,2982,2979,2979,2942,2942,2938,2938,2874,2874,2869,2869,2868,2868,2853,2853,2839,2839,2828,2828,2806,2806,2796,2796,2781,2781,2768,2768,2763,2763,2747,2747,2694,2694,2659,2659,2650,2650,2648,2648,2641,2641,2603,2603,2556,2556,2523,2523,2491,2491,2471,2471,2447,2447,2422,2422,2379,2379,2378,2378,2368,2368,2356,2356,2329,2329,2327,2327,2326,2326,2318,2318,2279,2279,2276,2276,2263,2263,2246,2246,2241,2241,2226,2226,2218,2218,2208,2208,2190,2190,2168,2168,2152,2152,2150,2150,2147,2147,2146,2146,2092,2092,2069,2069,2061,2061,2037,2037,2035,2035,2034,2034,2002,2002,1979,1979,1970,1970,1969,1969,1952,1952,1942,1942,1910,1910,1901,1901,1896,1896,1883,1883,1876,1876,1853,1853,1828,1828,1826,1826,1812,1812,1781,1781,1779,1779,1763,1763,1752,1752,1748,1748,1736,1736,1734,1734,1728,1728,1708,1708,1700,1700,1689,1689,1684,1684,1678,1678,1662,1662,1659,1659,1657,1657,1656,1656,1650,1650,1648,1648,1632,1632,1620,1620,1612,1612,1610,1610,1604,1604,1589,1589,1584,1584,1577,1577,1562,1562,1559,1559,1554,1554,1535,1535,1527,1527,1520,1520,1517,1517,1507,1507,1504,1504,1500,1500,0.0],[152233,152233,152233,91820,91820,69177,69177,65065,65065,63145,63145,56099,56099,53410,53410,52240,52240,48192,48192,46527,46527,44445,44445,44130,44130,37682,37682,36430,36430,35280,35280,31743,31743,31305,31305,28285,28285,27322,27322,24643,24643,23661,23661,22928,22928,22231,22231,21602,21602,21089,21089,20862,20862,19270,19270,16700,16700,16127,16127,14529,14529,13650,13650,13418,13418,12027,12027,11250,11250,10662,10662,9975,9975,9936,9936,9867,9867,9147,9147,8674,8674,8506,8506,8270,8270,8208,8208,7905,7905,7888,7888,7007,7007,6998,6998,5863,5863,5642,5642,5456,5456,5034,5034,4725,4725,3340,3340,2355,2355,2144,2144,2059,2059,1997,1997,1925,1925,1880,1880,1685,1685,1676,1676,0.0],[106042,106042,106042,69757,69757,59154,59154,54708,54708,50530,50530,48546,48546,48104,48104,46889,46889,46490,46490,45800,45800,44864,44864,41528,41528,40556,40556,40312,40312,35475,35475,32034,32034,31305,31305,30229,30229,29501,29501,28684,28684,28073,28073,27873,27873,26861,26861,25553,25553,24643,24643,21543,21543,20360,20360,20338,20338,18719,18719,18484,18484,17902,17902,17327,17327,16775,16775,16339,16339,15872,15872,15563,15563,13651,13651,13382,13382,13079,13079,12920,12920,12498,12498,12194,12194,12067,12067,11166,11166,10911,10911,10861,10861,10750,10750,10628,10628,10557,10557,10322,10322,10230,10230,9869,9869,8080,8080,8079,8079,7888,7888,7719,7719,7309,7309,6982,6982,6973,6973,6927,6927,6713,6713,6625,6625,6292,6292,6082,6082,5679,5679,5589,5589,5456,5456,5429,5429,5376,5376,5171,5171,5110,5110,4597,4597,4043,4043,4020,4020,3853,3853,3776,3776,3557,3557,3533,3533,3449,3449,3437,3437,3272,3272,2889,2889,2848,2848,2828,2828,2739,2739,2700,2700,2591,2591,2511,2511,2435,2435,2397,2397,2341,2341,2068,2068,2036,2036,2016,2016,2010,2010,1676,1676,1549,1549,0.0],[68465,68465,68465,65417,65417,46376,46376,42924,42924,42713,42713,42413,42413,40225,40225,38151,38151,32922,32922,30679,30679,26245,26245,26201,26201,25169,25169,24644,24644,24508,24508,23547,23547,22060,22060,21381,21381,21287,21287,20170,20170,19956,19956,18785,18785,18294,18294,18209,18209,17430,17430,17281,17281,17238,17238,17130,17130,15701,15701,15321,15321,14854,14854,14567,14567,13651,13651,13294,13294,12957,12957,12714,12714,11734,11734,11455,11455,10104,10104,9635,9635,9304,9304,9155,9155,8754,8754,8610,8610,8355,8355,8074,8074,7891,7891,7811,7811,7690,7690,7581,7581,7580,7580,7354,7354,7156,7156,7152,7152,7094,7094,6833,6833,6761,6761,6659,6659,6603,6603,6520,6520,6344,6344,6173,6173,6077,6077,6063,6063,5882,5882,5877,5877,5807,5807,5794,5794,5793,5793,5696,5696,5456,5456,5332,5332,5295,5295,5251,5251,5166,5166,5154,5154,5097,5097,4965,4965,4809,4809,4774,4774,4655,4655,4538,4538,4406,4406,4374,4374,4247,4247,4190,4190,4143,4143,4051,4051,4039,4039,3956,3956,3940,3940,3903,3903,3844,3844,3842,3842,3679,3679,3667,3667,3587,3587,3555,3555,3523,3523,3518,3518,3380,3380,3379,3379,3281,3281,3234,3234,3222,3222,3122,3122,3090,3090,3021,3021,2982,2982,2949,2949,2930,2930,2812,2812,2784,2784,2761,2761,2743,2743,2704,2704,2637,2637,2620,2620,2573,2573,2560,2560,2500,2500,2443,2443,2373,2373,2325,2325,2256,2256,2216,2216,2207,2207,2185,2185,2179,2179,2165,2165,2151,2151,2126,2126,2043,2043,2038,2038,2010,2010,1971,1971,1963,1963,1954,1954,1930,1930,1909,1909,1896,1896,1868,1868,1864,1864,1844,1844,1836,1836,1802,1802,1752,1752,1680,1680,1602,1602,1595,1595,1587,1587,1571,1571,1559,1559,1549,1549,1541,1541,1515,1515,0.0],[26354,26354,26354,23582,23582,22669,22669,22305,22305,20471,20471,20331,20331,17644,17644,16973,16973,16536,16536,16024,16024,15512,15512,14929,14929,14575,14575,14245,14245,13675,13675,13561,13561,12970,12970,12836,12836,12605,12605,12600,12600,11960,11960,11756,11756,11505,11505,11392,11392,11272,11272,11178,11178,11057,11057,10941,10941,10876,10876,10768,10768,10689,10689,10553,10553,10506,10506,10396,10396,10126,10126,10034,10034,9952,9952,9625,9625,9106,9106,9048,9048,8912,8912,8888,8888,8829,8829,8762,8762,8751,8751,8457,8457,8376,8376,8212,8212,8153,8153,7977,7977,7901,7901,7887,7887,7832,7832,7766,7766,7393,7393,7368,7368,7232,7232,6986,6986,6980,6980,6899,6899,6892,6892,6615,6615,6553,6553,6468,6468,6368,6368,6355,6355,6283,6283,6218,6218,6050,6050,5987,5987,5961,5961,5937,5937,5935,5935,5904,5904,5876,5876,5793,5793,5770,5770,5754,5754,5752,5752,5681,5681,5591,5591,5548,5548,5541,5541,5520,5520,5473,5473,5442,5442,5423,5423,5267,5267,5233,5233,5211,5211,5074,5074,5048,5048,5040,5040,5027,5027,4943,4943,4917,4917,4804,4804,4705,4705,4684,4684,4668,4668,4639,4639,4537,4537,4513,4513,4482,4482,4339,4339,4310,4310,4299,4299,4280,4280,4271,4271,4266,4266,4235,4235,4226,4226,4199,4199,4192,4192,4189,4189,4028,4028,3927,3927,3815,3815,3764,3764,3711,3711,3704,3704,3599,3599,3551,3551,3548,3548,3508,3508,3492,3492,3488,3488,3469,3469,3445,3445,3430,3430,3409,3409,3316,3316,3291,3291,3275,3275,3215,3215,3200,3200,3159,3159,3146,3146,3113,3113,3087,3087,3078,3078,3063,3063,3052,3052,2975,2975,2905,2905,2812,2812,2745,2745,2735,2735,2733,2733,2698,2698,2621,2621,2597,2597,2577,2577,2574,2574,2564,2564,2555,2555,2525,2525,2514,2514,2499,2499,2489,2489,2477,2477,2466,2466,2463,2463,2452,2452,2439,2439,2423,2423,2349,2349,2324,2324,2301,2301,2281,2281,2228,2228,2161,2161,2151,2151,2136,2136,2119,2119,2110,2110,2094,2094,2069,2069,1989,1989,1964,1964,1935,1935,1928,1928,1921,1921,1906,1906,1898,1898,1894,1894,1888,1888,1886,1886,1878,1878,1866,1866,1836,1836,1834,1834,1786,1786,1757,1757,1742,1742,1729,1729,1725,1725,1713,1713,1708,1708,1702,1702,1696,1696,1695,1695,1682,1682,1673,1673,1659,1659,1658,1658,1651,1651,1645,1645,1617,1617,1616,1616,1615,1615,1602,1602,1598,1598,1595,1595,1574,1574,1567,1567,1562,1562,1559,1559,1548,1548,1543,1543,1537,1537,1527,1527,1524,1524,1503,1503,0.0],[271388,271388,271388,171982,171982,160659,160659,137951,137951,135339,135339,131829,131829,98384,98384,81321,81321,74231,74231,54739,54739,54264,54264,51729,51729,39398,39398,39181,39181,37860,37860,29799,29799,25169,25169,24643,24643,13651,13651,10785,10785,6435,6435,5456,5456,2718,2718,1738,1738,0.0],[190316,190316,190316,163103,163103,135337,135337,134242,134242,133060,133060,126479,126479,113693,113693,104961,104961,102038,102038,98338,98338,49284,49284,48408,48408,46502,46502,37863,37863,27518,27518,22379,22379,19353,19353,16179,16179,13467,13467,13418,13418,11013,11013,10434,10434,9025,9025,8817,8817,7979,7979,5456,5456,3818,3818,3156,3156,3031,3031,2319,2319,2051,2051,1612,1612,0.0],[10614,10614,10614,10250,10250,9693,9693,8999,8999,8888,8888,8398,8398,8160,8160,7699,7699,7465,7465,7233,7233,7073,7073,6839,6839,6822,6822,6801,6801,6800,6800,6736,6736,6717,6717,6644,6644,6437,6437,6428,6428,6422,6422,6346,6346,6330,6330,6197,6197,6196,6196,5976,5976,5921,5921,5905,5905,5859,5859,5854,5854,5796,5796,5775,5775,5656,5656,5639,5639,5611,5611,5549,5549,5543,5543,5317,5317,5195,5195,5134,5134,5124,5124,5026,5026,4916,4916,4863,4863,4861,4861,4841,4841,4725,4725,4700,4700,4693,4693,4686,4686,4675,4675,4628,4628,4626,4626,4597,4597,4595,4595,4572,4572,4557,4557,4511,4511,4384,4384,4362,4362,4320,4320,4253,4253,4221,4221,4208,4208,4184,4184,4182,4182,4124,4124,4083,4083,4081,4081,4057,4057,4022,4022,3992,3992,3952,3952,3949,3949,3904,3904,3903,3903,3893,3893,3888,3888,3865,3865,3838,3838,3835,3835,3828,3828,3815,3815,3780,3780,3768,3768,3720,3720,3713,3713,3653,3653,3592,3592,3589,3589,3531,3531,3491,3491,3469,3469,3453,3453,3436,3436,3433,3433,3411,3411,3404,3404,3397,3397,3396,3396,3366,3366,3337,3337,3335,3335,3293,3293,3291,3291,3287,3287,3278,3278,3239,3239,3202,3202,3173,3173,3148,3148,3132,3132,3118,3118,3079,3079,3076,3076,3030,3030,3008,3008,3004,3004,2976,2976,2969,2969,2964,2964,2891,2891,2870,2870,2821,2821,2799,2799,2772,2772,2769,2769,2740,2740,2739,2739,2720,2720,2708,2708,2689,2689,2685,2685,2670,2670,2669,2669,2667,2667,2660,2660,2655,2655,2644,2644,2625,2625,2621,2621,2614,2614,2609,2609,2603,2603,2602,2602,2586,2586,2582,2582,2579,2579,2558,2558,2538,2538,2521,2521,2511,2511,2502,2502,2475,2475,2455,2455,2440,2440,2436,2436,2432,2432,2427,2427,2423,2423,2420,2420,2366,2366,2356,2356,2348,2348,2338,2338,2336,2336,2331,2331,2325,2325,2314,2314,2286,2286,2282,2282,2274,2274,2272,2272,2269,2269,2268,2268,2254,2254,2229,2229,2227,2227,2223,2223,2209,2209,2206,2206,2203,2203,2195,2195,2160,2160,2135,2135,2134,2134,2099,2099,2078,2078,2077,2077,2076,2076,2071,2071,2070,2070,2056,2056,2054,2054,2053,2053,2039,2039,2021,2021,1978,1978,1955,1955,1954,1954,1947,1947,1934,1934,1922,1922,1909,1909,1907,1907,1894,1894,1890,1890,1879,1879,1852,1852,1820,1820,1818,1818,1817,1817,1814,1814,1813,1813,1809,1809,1808,1808,1798,1798,1795,1795,1794,1794,1780,1780,1765,1765,1763,1763,1755,1755,1752,1752,1748,1748,1741,1741,1738,1738,1729,1729,1728,1728,1723,1723,1720,1720,1711,1711,1710,1710,1706,1706,1692,1692,1684,1684,1658,1658,1641,1641,1640,1640,1639,1639,1626,1626,1620,1620,1614,1614,1612,1612,1606,1606,1600,1600,1597,1597,1588,1588,1574,1574,1562,1562,1553,1553,1552,1552,1539,1539,1536,1536,1532,1532,1515,1515,1510,1510,1507,1507,0.0],[62302,62302,62302,54708,54708,49616,49616,48546,48546,46679,46679,46488,46488,39443,39443,39305,39305,37375,37375,31741,31741,31301,31301,31170,31170,29555,29555,29059,29059,28692,28692,27929,27929,27831,27831,25174,25174,24315,24315,23291,23291,21276,21276,21200,21200,20396,20396,20338,20338,20235,20235,19757,19757,17814,17814,17576,17576,16418,16418,16074,16074,15971,15971,15832,15832,15823,15823,15049,15049,14460,14460,14120,14120,13428,13428,12762,12762,12515,12515,12353,12353,12055,12055,11594,11594,11460,11460,11456,11456,11421,11421,10788,10788,10750,10750,10671,10671,10546,10546,10533,10533,10230,10230,9873,9873,9564,9564,9331,9331,9205,9205,8771,8771,8440,8440,7907,7907,7888,7888,7550,7550,7544,7544,6982,6982,6954,6954,6625,6625,6600,6600,6457,6457,6440,6440,6221,6221,6220,6220,6191,6191,6082,6082,6063,6063,5667,5667,5586,5586,5584,5584,5455,5455,5376,5376,5219,5219,5197,5197,4949,4949,4879,4879,4876,4876,4771,4771,4551,4551,4287,4287,4038,4038,3892,3892,3804,3804,3734,3734,3719,3719,3713,3713,3591,3591,3533,3533,3277,3277,3247,3247,3222,3222,2828,2828,2739,2739,2673,2673,2529,2529,2316,2316,2144,2144,2035,2035,2011,2011,1999,1999,1993,1993,1872,1872,1831,1831,1751,1751,1716,1716,1687,1687,1656,1656,1641,1641,1586,1586,1578,1578,1549,1549,0.0],[9224,9224,9224,7938,7938,7742,7742,7426,7426,7069,7069,6569,6569,6148,6148,6053,6053,6022,6022,6008,6008,5908,5908,5758,5758,5708,5708,5596,5596,5537,5537,5372,5372,5300,5300,5249,5249,5145,5145,4943,4943,4930,4930,4871,4871,4665,4665,4662,4662,4617,4617,4562,4562,4481,4481,4473,4473,4435,4435,4398,4398,4304,4304,4224,4224,4161,4161,4157,4157,4096,4096,4088,4088,3961,3961,3929,3929,3925,3925,3921,3921,3878,3878,3817,3817,3780,3780,3767,3767,3742,3742,3707,3707,3697,3697,3660,3660,3621,3621,3612,3612,3593,3593,3565,3565,3538,3538,3518,3518,3463,3463,3456,3456,3452,3452,3403,3403,3396,3396,3378,3378,3367,3367,3363,3363,3356,3356,3337,3337,3287,3287,3270,3270,3254,3254,3253,3253,3249,3249,3246,3246,3244,3244,3227,3227,3158,3158,3147,3147,3144,3144,3139,3139,3132,3132,3115,3115,3090,3090,3089,3089,3047,3047,3036,3036,3014,3014,3004,3004,2988,2988,2973,2973,2966,2966,2964,2964,2960,2960,2944,2944,2893,2893,2888,2888,2885,2885,2873,2873,2862,2862,2807,2807,2802,2802,2793,2793,2782,2782,2776,2776,2771,2771,2769,2769,2754,2754,2753,2753,2752,2752,2739,2739,2736,2736,2734,2734,2712,2712,2708,2708,2705,2705,2700,2700,2681,2681,2675,2675,2674,2674,2649,2649,2648,2648,2631,2631,2626,2626,2623,2623,2612,2612,2609,2609,2592,2592,2568,2568,2558,2558,2556,2556,2533,2533,2529,2529,2520,2520,2508,2508,2507,2507,2493,2493,2488,2488,2481,2481,2472,2472,2447,2447,2434,2434,2426,2426,2416,2416,2413,2413,2409,2409,2407,2407,2405,2405,2394,2394,2388,2388,2383,2383,2362,2362,2359,2359,2358,2358,2355,2355,2354,2354,2341,2341,2311,2311,2304,2304,2301,2301,2297,2297,2288,2288,2280,2280,2278,2278,2275,2275,2272,2272,2270,2270,2269,2269,2260,2260,2252,2252,2250,2250,2237,2237,2230,2230,2229,2229,2228,2228,2227,2227,2210,2210,2202,2202,2181,2181,2180,2180,2177,2177,2175,2175,2172,2172,2168,2168,2165,2165,2154,2154,2151,2151,2149,2149,2142,2142,2141,2141,2138,2138,2133,2133,2130,2130,2128,2128,2123,2123,2121,2121,2119,2119,2111,2111,2107,2107,2091,2091,2085,2085,2079,2079,2078,2078,2074,2074,2066,2066,2063,2063,2062,2062,2060,2060,2050,2050,2045,2045,2044,2044,2041,2041,2030,2030,2024,2024,2019,2019,2018,2018,2017,2017,2005,2005,2002,2002,1986,1986,1985,1985,1983,1983,1977,1977,1966,1966,1962,1962,1960,1960,1949,1949,1932,1932,1924,1924,1922,1922,1921,1921,1918,1918,1916,1916,1901,1901,1896,1896,1887,1887,1881,1881,1868,1868,1867,1867,1859,1859,1857,1857,1856,1856,1855,1855,1843,1843,1839,1839,1823,1823,1819,1819,1818,1818,1812,1812,1811,1811,1809,1809,1801,1801,1795,1795,1792,1792,1789,1789,1783,1783,1781,1781,1778,1778,1774,1774,1760,1760,1759,1759,1755,1755,1752,1752,1746,1746,1742,1742,1741,1741,1736,1736,1731,1731,1729,1729,1726,1726,1725,1725,1719,1719,1718,1718,1715,1715,1712,1712,1707,1707,1704,1704,1699,1699,1690,1690,1688,1688,1684,1684,1682,1682,1676,1676,1658,1658,1657,1657,1651,1651,1650,1650,1646,1646,1642,1642,1638,1638,1632,1632,1630,1630,1626,1626,1623,1623,1610,1610,1607,1607,1606,1606,1602,1602,1598,1598,1597,1597,1595,1595,1589,1589,1587,1587,1585,1585,1583,1583,1582,1582,1575,1575,1567,1567,1565,1565,1561,1561,1557,1557,1555,1555,1551,1551,1544,1544,1543,1543,1539,1539,1530,1530,1529,1529,1521,1521,1516,1516,1513,1513,1511,1511,1504,1504,1503,1503,0.0],[17440,17440,17440,13582,13582,12475,12475,11422,11422,11143,11143,11127,11127,10485,10485,10447,10447,10432,10432,10062,10062,9421,9421,9078,9078,8987,8987,8547,8547,8282,8282,8274,8274,8059,8059,7548,7548,7392,7392,6981,6981,6950,6950,6586,6586,6482,6482,6457,6457,6288,6288,6031,6031,5989,5989,5960,5960,5759,5759,5719,5719,5642,5642,5536,5536,5409,5409,5375,5375,5313,5313,5161,5161,5137,5137,4996,4996,4925,4925,4892,4892,4861,4861,4823,4823,4801,4801,4744,4744,4704,4704,4639,4639,4557,4557,4483,4483,4469,4469,4457,4457,4445,4445,4396,4396,4362,4362,4312,4312,4291,4291,4191,4191,4120,4120,4063,4063,3989,3989,3933,3933,3898,3898,3897,3897,3882,3882,3853,3853,3828,3828,3728,3728,3692,3692,3674,3674,3649,3649,3642,3642,3554,3554,3552,3552,3546,3546,3499,3499,3471,3471,3425,3425,3380,3380,3341,3341,3338,3338,3316,3316,3298,3298,3263,3263,3248,3248,3230,3230,3202,3202,3198,3198,3184,3184,3148,3148,3146,3146,3131,3131,3125,3125,3082,3082,3069,3069,3015,3015,2985,2985,2984,2984,2974,2974,2915,2915,2861,2861,2847,2847,2842,2842,2808,2808,2803,2803,2793,2793,2789,2789,2788,2788,2781,2781,2779,2779,2641,2641,2613,2613,2607,2607,2578,2578,2571,2571,2550,2550,2541,2541,2539,2539,2521,2521,2488,2488,2463,2463,2452,2452,2414,2414,2384,2384,2383,2383,2368,2368,2349,2349,2337,2337,2336,2336,2325,2325,2317,2317,2287,2287,2243,2243,2238,2238,2206,2206,2170,2170,2169,2169,2162,2162,2152,2152,2150,2150,2145,2145,2137,2137,2116,2116,2090,2090,2083,2083,2069,2069,2065,2065,2060,2060,2059,2059,2058,2058,2052,2052,2045,2045,2027,2027,2024,2024,2023,2023,2013,2013,2000,2000,1992,1992,1985,1985,1966,1966,1962,1962,1960,1960,1944,1944,1930,1930,1922,1922,1917,1917,1912,1912,1901,1901,1899,1899,1883,1883,1867,1867,1865,1865,1863,1863,1857,1857,1854,1854,1851,1851,1829,1829,1779,1779,1771,1771,1759,1759,1758,1758,1757,1757,1747,1747,1745,1745,1741,1741,1737,1737,1727,1727,1721,1721,1703,1703,1699,1699,1695,1695,1692,1692,1691,1691,1690,1690,1686,1686,1685,1685,1683,1683,1678,1678,1677,1677,1671,1671,1658,1658,1656,1656,1652,1652,1643,1643,1639,1639,1633,1633,1628,1628,1621,1621,1620,1620,1618,1618,1614,1614,1613,1613,1605,1605,1601,1601,1596,1596,1595,1595,1590,1590,1580,1580,1579,1579,1570,1570,1567,1567,1565,1565,1556,1556,1552,1552,1551,1551,1550,1550,1545,1545,1539,1539,1536,1536,1524,1524,1520,1520,1519,1519,1517,1517,1513,1513,1512,1512,1510,1510,1507,1507,1506,1506,0.0],[85569,85569,85569,84726,84726,83501,83501,71704,71704,67125,67125,65456,65456,54708,54708,49302,49302,48104,48104,45618,45618,45327,45327,40312,40312,38493,38493,31741,31741,30264,30264,24643,24643,21889,21889,20338,20338,19544,19544,18486,18486,17686,17686,17484,17484,17450,17450,17327,17327,17173,17173,17136,17136,15872,15872,14210,14210,13652,13652,13308,13308,13038,13038,12035,12035,11456,11456,11030,11030,11011,11011,10750,10750,10431,10431,10229,10229,10116,10116,8078,8078,8016,8016,7888,7888,6983,6983,6600,6600,6457,6457,5859,5859,5509,5509,5455,5455,5096,5096,3848,3848,3523,3523,3277,3277,2828,2828,2698,2698,2529,2529,2504,2504,2144,2144,2133,2133,1993,1993,1872,1872,1700,1700,1690,1690,1549,1549,1507,1507,0.0],[49275,49275,49275,42451,42451,42009,42009,31546,31546,30795,30795,30727,30727,30443,30443,27462,27462,26734,26734,24643,24643,24582,24582,23858,23858,23840,23840,23744,23744,21324,21324,20692,20692,20002,20002,19569,19569,17428,17428,17221,17221,17208,17208,16974,16974,16782,16782,15162,15162,15096,15096,14971,14971,14939,14939,14877,14877,14459,14459,11804,11804,11503,11503,11303,11303,11159,11159,11030,11030,10785,10785,10426,10426,10263,10263,10230,10230,9852,9852,9692,9692,9550,9550,9329,9329,9320,9320,9135,9135,8886,8886,8142,8142,7882,7882,7747,7747,7664,7664,7161,7161,6964,6964,6616,6616,6463,6463,6257,6257,5723,5723,5506,5506,5456,5456,5376,5376,5266,5266,5185,5185,5179,5179,5075,5075,4946,4946,4642,4642,4481,4481,4297,4297,4258,4258,3873,3873,3840,3840,3529,3529,3466,3466,3249,3249,2984,2984,2949,2949,2698,2698,2577,2577,2500,2500,2423,2423,2177,2177,2161,2161,2152,2152,1948,1948,1920,1920,1912,1912,1874,1874,1836,1836,1769,1769,1752,1752,1608,1608,1564,1564,1501,1501,0.0],[44891,44891,44891,44073,44073,42992,42992,40548,40548,39268,39268,38493,38493,38399,38399,37454,37454,35418,35418,32797,32797,31997,31997,30981,30981,30010,30010,28478,28478,27179,27179,25098,25098,24644,24644,24314,24314,23340,23340,22667,22667,21890,21890,20924,20924,20338,20338,19544,19544,18717,18717,18699,18699,18254,18254,17337,17337,17325,17325,16202,16202,16168,16168,16019,16019,15628,15628,15417,15417,14735,14735,14272,14272,14014,14014,13888,13888,13716,13716,13652,13652,13494,13494,13472,13472,13403,13403,13305,13305,13170,13170,13012,13012,12787,12787,11692,11692,10913,10913,10691,10691,10536,10536,10365,10365,9934,9934,9424,9424,9330,9330,8807,8807,8096,8096,7888,7888,7595,7595,7548,7548,6983,6983,6900,6900,6435,6435,6296,6296,6284,6284,6219,6219,6161,6161,6097,6097,6062,6062,5936,5936,5890,5890,5877,5877,5826,5826,5667,5667,5574,5574,5475,5475,5455,5455,5376,5376,5065,5065,5047,5047,5042,5042,4841,4841,4676,4676,4650,4650,4640,4640,4270,4270,4248,4248,4214,4214,3721,3721,3712,3712,3606,3606,3396,3396,3379,3379,3292,3292,3275,3275,3109,3109,2749,2749,2556,2556,2326,2326,2316,2316,2235,2235,2143,2143,1991,1991,1921,1921,1885,1885,1856,1856,1818,1818,1795,1795,1719,1719,1701,1701,1686,1686,1613,1613,1585,1585,1574,1574,0.0],[47768,47768,47768,45919,45919,32930,32930,31926,31926,31789,31789,29396,29396,28004,28004,26468,26468,26086,26086,25067,25067,24948,24948,24646,24646,23384,23384,22214,22214,20380,20380,20322,20322,19668,19668,19664,19664,18336,18336,18273,18273,18258,18258,18047,18047,17940,17940,17728,17728,16359,16359,16232,16232,16103,16103,14684,14684,14245,14245,13666,13666,13486,13486,11892,11892,11535,11535,11261,11261,11013,11013,10960,10960,10956,10956,10840,10840,9656,9656,9155,9155,8731,8731,8184,8184,7913,7913,7707,7707,7266,7266,7047,7047,7014,7014,6518,6518,5908,5908,5141,5141,5090,5090,4873,4873,4506,4506,4364,4364,4098,4098,3216,3216,3097,3097,3059,3059,2980,2980,2830,2830,2729,2729,2297,2297,2251,2251,2041,2041,1999,1999,1728,1728,0.0],[156203,156203,156203,87138,87138,74869,74869,67123,67123,66987,66987,64317,64317,56663,56663,54697,54697,51288,51288,50713,50713,48119,48119,45620,45620,44987,44987,42576,42576,41060,41060,36750,36750,34927,34927,34115,34115,31827,31827,30483,30483,30032,30032,26087,26087,24776,24776,24643,24643,24532,24532,22825,22825,20116,20116,18489,18489,17447,17447,16074,16074,13652,13652,13505,13505,13360,13360,13000,13000,11395,11395,10557,10557,9347,9347,8962,8962,8506,8506,8155,8155,7888,7888,7526,7526,6927,6927,6894,6894,6648,6648,6625,6625,6057,6057,5964,5964,5922,5922,5493,5493,5486,5486,5456,5456,5066,5066,4862,4862,4678,4678,4641,4641,4553,4553,4463,4463,4304,4304,4287,4287,4207,4207,3713,3713,3527,3527,3277,3277,2848,2848,2548,2548,2529,2529,2515,2515,2507,2507,2498,2498,2458,2458,2327,2327,2316,2316,2299,2299,2285,2285,2115,2115,2068,2068,1992,1992,1817,1817,1774,1774,1697,1697,1580,1580,0.0],[60678,60678,60678,54921,54921,49686,49686,49633,49633,47181,47181,45896,45896,44921,44921,44400,44400,44163,44163,39780,39780,38493,38493,37004,37004,36749,36749,36477,36477,34114,34114,32074,32074,30987,30987,30353,30353,29694,29694,27265,27265,26172,26172,25821,25821,24477,24477,24188,24188,21327,21327,21308,21308,20925,20925,20213,20213,19867,19867,19463,19463,18253,18253,17645,17645,17373,17373,16823,16823,16134,16134,16031,16031,15979,15979,15637,15637,15586,15586,14781,14781,14764,14764,14634,14634,14315,14315,14290,14290,14232,14232,13736,13736,13652,13652,13493,13493,13349,13349,13249,13249,12616,12616,12031,12031,11421,11421,10837,10837,10669,10669,10499,10499,9831,9831,9593,9593,9112,9112,8936,8936,8650,8650,8629,8629,8586,8586,8444,8444,8375,8375,8112,8112,7867,7867,7838,7838,7706,7706,7611,7611,7597,7597,7560,7560,7274,7274,7216,7216,7181,7181,7144,7144,6965,6965,6780,6780,6660,6660,6648,6648,6558,6558,6416,6416,6348,6348,5951,5951,5935,5935,5646,5646,5548,5548,5516,5516,5454,5454,5293,5293,5065,5065,3999,3999,3883,3883,3839,3839,3597,3597,3186,3186,3017,3017,2878,2878,2836,2836,2341,2341,2235,2235,2144,2144,1944,1944,1923,1923,1810,1810,1790,1790,1593,1593,1580,1580,1564,1564,0.0],[18918,18918,18918,18735,18735,16385,16385,16093,16093,13542,13542,12377,12377,12215,12215,12197,12197,11909,11909,11863,11863,11583,11583,11375,11375,10985,10985,10938,10938,9915,9915,9717,9717,9660,9660,9024,9024,8928,8928,8808,8808,8750,8750,8663,8663,8612,8612,8585,8585,8547,8547,8459,8459,8441,8441,8381,8381,8230,8230,8206,8206,8121,8121,8000,8000,7991,7991,7770,7770,7666,7666,7281,7281,7247,7247,7099,7099,7073,7073,7005,7005,6981,6981,6899,6899,6738,6738,6628,6628,6619,6619,6598,6598,6500,6500,6450,6450,6421,6421,6382,6382,6218,6218,6189,6189,6179,6179,6161,6161,6154,6154,6146,6146,6106,6106,6083,6083,6054,6054,6013,6013,5973,5973,5953,5953,5935,5935,5931,5931,5826,5826,5810,5810,5754,5754,5654,5654,5600,5600,5561,5561,5554,5554,5477,5477,5441,5441,5432,5432,5374,5374,5364,5364,5320,5320,5282,5282,5093,5093,5041,5041,5031,5031,5027,5027,4976,4976,4893,4893,4865,4865,4843,4843,4797,4797,4737,4737,4690,4690,4687,4687,4676,4676,4639,4639,4635,4635,4625,4625,4616,4616,4612,4612,4542,4542,4533,4533,4487,4487,4478,4478,4457,4457,4448,4448,4348,4348,4268,4268,4240,4240,4215,4215,4174,4174,4169,4169,4145,4145,3934,3934,3913,3913,3892,3892,3865,3865,3855,3855,3747,3747,3725,3725,3678,3678,3635,3635,3623,3623,3589,3589,3587,3587,3566,3566,3532,3532,3527,3527,3503,3503,3502,3502,3491,3491,3376,3376,3337,3337,3175,3175,3167,3167,3114,3114,3105,3105,3086,3086,3068,3068,3011,3011,2964,2964,2942,2942,2894,2894,2847,2847,2841,2841,2808,2808,2782,2782,2767,2767,2765,2765,2745,2745,2697,2697,2685,2685,2649,2649,2634,2634,2514,2514,2504,2504,2478,2478,2472,2472,2441,2441,2438,2438,2382,2382,2329,2329,2325,2325,2239,2239,2233,2233,2172,2172,2169,2169,2167,2167,2151,2151,2143,2143,2109,2109,2059,2059,2034,2034,2028,2028,2024,2024,2010,2010,2007,2007,1998,1998,1977,1977,1976,1976,1963,1963,1956,1956,1948,1948,1918,1918,1911,1911,1885,1885,1834,1834,1772,1772,1769,1769,1766,1766,1760,1760,1759,1759,1746,1746,1696,1696,1677,1677,1651,1651,1615,1615,1604,1604,1601,1601,1593,1593,1577,1577,1562,1562,1561,1561,1551,1551,1503,1503,0.0],[35744,35744,35744,24650,24650,22573,22573,22322,22322,20527,20527,20129,20129,19659,19659,19489,19489,19277,19277,18378,18378,16889,16889,16600,16600,16535,16535,16504,16504,16338,16338,16156,16156,16052,16052,16043,16043,15882,15882,15325,15325,14332,14332,13990,13990,13951,13951,13751,13751,13635,13635,13512,13512,12735,12735,12461,12461,12419,12419,12356,12356,11949,11949,11680,11680,11347,11347,11236,11236,11208,11208,10849,10849,10604,10604,10059,10059,9837,9837,9784,9784,9535,9535,9348,9348,9341,9341,9300,9300,9260,9260,9113,9113,9111,9111,9109,9109,9047,9047,9009,9009,8859,8859,8818,8818,8602,8602,8536,8536,8493,8493,8490,8490,8338,8338,8266,8266,8229,8229,8163,8163,8128,8128,8080,8080,7964,7964,7947,7947,7890,7890,7847,7847,7770,7770,7717,7717,7589,7589,7564,7564,7408,7408,7173,7173,7114,7114,7047,7047,6998,6998,6905,6905,6889,6889,6856,6856,6849,6849,6838,6838,6787,6787,6722,6722,6644,6644,6601,6601,6565,6565,6496,6496,6394,6394,6389,6389,6328,6328,6259,6259,6208,6208,6161,6161,6131,6131,6060,6060,6029,6029,5952,5952,5947,5947,5922,5922,5891,5891,5872,5872,5864,5864,5858,5858,5850,5850,5845,5845,5793,5793,5697,5697,5653,5653,5598,5598,5468,5468,5443,5443,5214,5214,5093,5093,5082,5082,5074,5074,5022,5022,4858,4858,4815,4815,4804,4804,4716,4716,4709,4709,4566,4566,4505,4505,4477,4477,4432,4432,4428,4428,4386,4386,4352,4352,4328,4328,4207,4207,4194,4194,4191,4191,4142,4142,4135,4135,4134,4134,4053,4053,4045,4045,4040,4040,4029,4029,4022,4022,4020,4020,4005,4005,3978,3978,3966,3966,3927,3927,3888,3888,3881,3881,3850,3850,3802,3802,3759,3759,3700,3700,3696,3696,3683,3683,3612,3612,3604,3604,3518,3518,3470,3470,3441,3441,3364,3364,3350,3350,3305,3305,3244,3244,3241,3241,3201,3201,3184,3184,3176,3176,3174,3174,3132,3132,3126,3126,3106,3106,3097,3097,3038,3038,3034,3034,3025,3025,2976,2976,2969,2969,2955,2955,2952,2952,2929,2929,2850,2850,2768,2768,2730,2730,2726,2726,2717,2717,2707,2707,2675,2675,2651,2651,2617,2617,2582,2582,2548,2548,2534,2534,2510,2510,2480,2480,2466,2466,2410,2410,2408,2408,2403,2403,2385,2385,2377,2377,2376,2376,2368,2368,2305,2305,2240,2240,2236,2236,2226,2226,2207,2207,2186,2186,2175,2175,2160,2160,2125,2125,2100,2100,2092,2092,2081,2081,2055,2055,2051,2051,2037,2037,2036,2036,2034,2034,2031,2031,2021,2021,1999,1999,1995,1995,1981,1981,1973,1973,1965,1965,1929,1929,1913,1913,1892,1892,1881,1881,1880,1880,1823,1823,1789,1789,1768,1768,1764,1764,1760,1760,1706,1706,1705,1705,1704,1704,1702,1702,1678,1678,1672,1672,1668,1668,1658,1658,1640,1640,1631,1631,1629,1629,1617,1617,1611,1611,1610,1610,1608,1608,1598,1598,1578,1578,1553,1553,1549,1549,1528,1528,0.0],[12767,12767,12767,11135,11135,10375,10375,9684,9684,9624,9624,9051,9051,9049,9049,8819,8819,8649,8649,7987,7987,7864,7864,7702,7702,7321,7321,7198,7198,7119,7119,7065,7065,7063,7063,6963,6963,6938,6938,6758,6758,6449,6449,6308,6308,6257,6257,6239,6239,6105,6105,6092,6092,6074,6074,6050,6050,5948,5948,5861,5861,5750,5750,5741,5741,5739,5739,5636,5636,5607,5607,5593,5593,5569,5569,5532,5532,5459,5459,5322,5322,5272,5272,5250,5250,5242,5242,5232,5232,5040,5040,5033,5033,4984,4984,4983,4983,4823,4823,4799,4799,4789,4789,4762,4762,4719,4719,4627,4627,4447,4447,4402,4402,4400,4400,4397,4397,4392,4392,4331,4331,4298,4298,4271,4271,4257,4257,4223,4223,4216,4216,4197,4197,4152,4152,4147,4147,4114,4114,4095,4095,4074,4074,4048,4048,4030,4030,4004,4004,3956,3956,3919,3919,3867,3867,3830,3830,3824,3824,3812,3812,3808,3808,3785,3785,3775,3775,3730,3730,3728,3728,3720,3720,3680,3680,3645,3645,3638,3638,3628,3628,3620,3620,3619,3619,3594,3594,3585,3585,3584,3584,3548,3548,3522,3522,3506,3506,3480,3480,3478,3478,3460,3460,3422,3422,3408,3408,3405,3405,3398,3398,3397,3397,3380,3380,3376,3376,3348,3348,3305,3305,3278,3278,3265,3265,3263,3263,3257,3257,3238,3238,3233,3233,3222,3222,3210,3210,3183,3183,3176,3176,3175,3175,3164,3164,3160,3160,3144,3144,3142,3142,3110,3110,3109,3109,3066,3066,3063,3063,3050,3050,3046,3046,3045,3045,3043,3043,3042,3042,3041,3041,3037,3037,3020,3020,3016,3016,3012,3012,3007,3007,2991,2991,2988,2988,2959,2959,2951,2951,2947,2947,2940,2940,2908,2908,2904,2904,2895,2895,2892,2892,2891,2891,2886,2886,2884,2884,2882,2882,2876,2876,2872,2872,2866,2866,2861,2861,2846,2846,2834,2834,2829,2829,2827,2827,2819,2819,2813,2813,2812,2812,2804,2804,2785,2785,2775,2775,2773,2773,2745,2745,2742,2742,2736,2736,2731,2731,2730,2730,2713,2713,2706,2706,2697,2697,2628,2628,2611,2611,2600,2600,2599,2599,2596,2596,2594,2594,2582,2582,2581,2581,2565,2565,2555,2555,2546,2546,2542,2542,2530,2530,2512,2512,2473,2473,2472,2472,2467,2467,2458,2458,2447,2447,2442,2442,2433,2433,2430,2430,2426,2426,2415,2415,2413,2413,2410,2410,2390,2390,2389,2389,2387,2387,2383,2383,2375,2375,2368,2368,2355,2355,2350,2350,2349,2349,2348,2348,2341,2341,2336,2336,2335,2335,2325,2325,2307,2307,2295,2295,2292,2292,2288,2288,2286,2286,2279,2279,2277,2277,2256,2256,2250,2250,2248,2248,2247,2247,2234,2234,2233,2233,2223,2223,2222,2222,2217,2217,2178,2178,2176,2176,2175,2175,2162,2162,2160,2160,2154,2154,2140,2140,2137,2137,2134,2134,2131,2131,2126,2126,2122,2122,2119,2119,2103,2103,2098,2098,2094,2094,2093,2093,2076,2076,2074,2074,2072,2072,2058,2058,2056,2056,2055,2055,2043,2043,2039,2039,2037,2037,2024,2024,2015,2015,1990,1990,1988,1988,1969,1969,1962,1962,1952,1952,1948,1948,1906,1906,1903,1903,1899,1899,1890,1890,1881,1881,1874,1874,1871,1871,1866,1866,1854,1854,1840,1840,1831,1831,1828,1828,1826,1826,1823,1823,1821,1821,1816,1816,1814,1814,1810,1810,1806,1806,1805,1805,1801,1801,1797,1797,1795,1795,1788,1788,1783,1783,1776,1776,1770,1770,1768,1768,1766,1766,1764,1764,1751,1751,1750,1750,1746,1746,1742,1742,1740,1740,1731,1731,1726,1726,1710,1710,1709,1709,1705,1705,1700,1700,1694,1694,1693,1693,1676,1676,1671,1671,1669,1669,1657,1657,1653,1653,1646,1646,1634,1634,1632,1632,1623,1623,1616,1616,1611,1611,1602,1602,1586,1586,1579,1579,1563,1563,1549,1549,1546,1546,1545,1545,1541,1541,1537,1537,1530,1530,1527,1527,1524,1524,1523,1523,1521,1521,1516,1516,1511,1511,1508,1508,1503,1503,0.0],[30106,30106,30106,27323,27323,24461,24461,24366,24366,22831,22831,21094,21094,20390,20390,20280,20280,19914,19914,17842,17842,17687,17687,17510,17510,16332,16332,16106,16106,15285,15285,13935,13935,13902,13902,13860,13860,13501,13501,13441,13441,13239,13239,13124,13124,13008,13008,12939,12939,12872,12872,12595,12595,12536,12536,12473,12473,12312,12312,12039,12039,11651,11651,11524,11524,11247,11247,11058,11058,11021,11021,10724,10724,10715,10715,10646,10646,10363,10363,10171,10171,9909,9909,9882,9882,9839,9839,9280,9280,8882,8882,8872,8872,8838,8838,8756,8756,8700,8700,8681,8681,8469,8469,8388,8388,8361,8361,8056,8056,7972,7972,7916,7916,7872,7872,7833,7833,7770,7770,7702,7702,7693,7693,7576,7576,7447,7447,7305,7305,7149,7149,6996,6996,6982,6982,6956,6956,6850,6850,6826,6826,6800,6800,6776,6776,6757,6757,6670,6670,6651,6651,6601,6601,6442,6442,6398,6398,6350,6350,6285,6285,6190,6190,6109,6109,6051,6051,6031,6031,6018,6018,6006,6006,6000,6000,5950,5950,5886,5886,5850,5850,5819,5819,5772,5772,5735,5735,5634,5634,5622,5622,5579,5579,5468,5468,5463,5463,5449,5449,5354,5354,5353,5353,5352,5352,5339,5339,5318,5318,5316,5316,5315,5315,5217,5217,5199,5199,5102,5102,5000,5000,4973,4973,4966,4966,4960,4960,4898,4898,4876,4876,4866,4866,4835,4835,4778,4778,4661,4661,4643,4643,4614,4614,4578,4578,4555,4555,4552,4552,4510,4510,4499,4499,4494,4494,4410,4410,4384,4384,4341,4341,4306,4306,4288,4288,4283,4283,4252,4252,4244,4244,4219,4219,4208,4208,4138,4138,4135,4135,4114,4114,4097,4097,4068,4068,3979,3979,3872,3872,3823,3823,3793,3793,3749,3749,3730,3730,3695,3695,3632,3632,3618,3618,3593,3593,3592,3592,3587,3587,3568,3568,3524,3524,3486,3486,3473,3473,3468,3468,3414,3414,3398,3398,3353,3353,3336,3336,3328,3328,3322,3322,3298,3298,3284,3284,3262,3262,3259,3259,3202,3202,3190,3190,3181,3181,3174,3174,3157,3157,3141,3141,3138,3138,3064,3064,3040,3040,3029,3029,2905,2905,2892,2892,2880,2880,2781,2781,2766,2766,2764,2764,2733,2733,2704,2704,2684,2684,2633,2633,2611,2611,2605,2605,2594,2594,2581,2581,2574,2574,2551,2551,2550,2550,2540,2540,2532,2532,2521,2521,2511,2511,2495,2495,2477,2477,2402,2402,2393,2393,2387,2387,2348,2348,2339,2339,2330,2330,2328,2328,2323,2323,2322,2322,2300,2300,2274,2274,2242,2242,2207,2207,2196,2196,2185,2185,2179,2179,2147,2147,2119,2119,2117,2117,2098,2098,2080,2080,2071,2071,2056,2056,2026,2026,2003,2003,1960,1960,1951,1951,1931,1931,1928,1928,1921,1921,1918,1918,1897,1897,1877,1877,1870,1870,1869,1869,1865,1865,1857,1857,1838,1838,1800,1800,1787,1787,1758,1758,1757,1757,1756,1756,1739,1739,1736,1736,1702,1702,1698,1698,1684,1684,1678,1678,1675,1675,1669,1669,1663,1663,1648,1648,1642,1642,1639,1639,1635,1635,1602,1602,1597,1597,1581,1581,1574,1574,1569,1569,1561,1561,1535,1535,1515,1515,1513,1513,0.0],[30149,30149,30149,22503,22503,21188,21188,20992,20992,19326,19326,18497,18497,17589,17589,17296,17296,17014,17014,16955,16955,16746,16746,15394,15394,15393,15393,15295,15295,14839,14839,14263,14263,14111,14111,13913,13913,13756,13756,13579,13579,13455,13455,13415,13415,13268,13268,13124,13124,12855,12855,12561,12561,12523,12523,12419,12419,11637,11637,11556,11556,11331,11331,11133,11133,10838,10838,10829,10829,10217,10217,10137,10137,10036,10036,9886,9886,9871,9871,9725,9725,9712,9712,9241,9241,9058,9058,9042,9042,9030,9030,8974,8974,8915,8915,8844,8844,8616,8616,8563,8563,8325,8325,8142,8142,8055,8055,8018,8018,7991,7991,7987,7987,7931,7931,7897,7897,7872,7872,7670,7670,7658,7658,7492,7492,7459,7459,7437,7437,7300,7300,7222,7222,7182,7182,7070,7070,6969,6969,6904,6904,6810,6810,6712,6712,6699,6699,6695,6695,6572,6572,6523,6523,6516,6516,6489,6489,6254,6254,6148,6148,6136,6136,6131,6131,6095,6095,6062,6062,6056,6056,6034,6034,5988,5988,5939,5939,5848,5848,5796,5796,5782,5782,5720,5720,5717,5717,5685,5685,5657,5657,5644,5644,5582,5582,5554,5554,5551,5551,5492,5492,5488,5488,5451,5451,5431,5431,5415,5415,5360,5360,5325,5325,5276,5276,5206,5206,5204,5204,5185,5185,5151,5151,5059,5059,5016,5016,5004,5004,4954,4954,4889,4889,4810,4810,4780,4780,4700,4700,4629,4629,4569,4569,4539,4539,4527,4527,4517,4517,4505,4505,4500,4500,4492,4492,4465,4465,4457,4457,4388,4388,4378,4378,4332,4332,4242,4242,4214,4214,4208,4208,4203,4203,4182,4182,4180,4180,4052,4052,4035,4035,3929,3929,3868,3868,3856,3856,3847,3847,3836,3836,3830,3830,3798,3798,3793,3793,3784,3784,3780,3780,3779,3779,3715,3715,3709,3709,3675,3675,3642,3642,3627,3627,3588,3588,3567,3567,3497,3497,3494,3494,3457,3457,3446,3446,3414,3414,3399,3399,3398,3398,3395,3395,3392,3392,3389,3389,3350,3350,3311,3311,3300,3300,3297,3297,3276,3276,3269,3269,3245,3245,3216,3216,3200,3200,3185,3185,3171,3171,3170,3170,3169,3169,3148,3148,3118,3118,3093,3093,3046,3046,3040,3040,3033,3033,3024,3024,2962,2962,2936,2936,2908,2908,2888,2888,2875,2875,2865,2865,2847,2847,2822,2822,2812,2812,2769,2769,2748,2748,2737,2737,2724,2724,2712,2712,2700,2700,2662,2662,2635,2635,2618,2618,2606,2606,2604,2604,2554,2554,2553,2553,2510,2510,2476,2476,2463,2463,2461,2461,2439,2439,2437,2437,2339,2339,2228,2228,2198,2198,2197,2197,2178,2178,2164,2164,2156,2156,2146,2146,2144,2144,2137,2137,2136,2136,2124,2124,2104,2104,2080,2080,2067,2067,2060,2060,2025,2025,1996,1996,1980,1980,1934,1934,1931,1931,1925,1925,1897,1897,1873,1873,1866,1866,1855,1855,1835,1835,1824,1824,1790,1790,1767,1767,1764,1764,1752,1752,1731,1731,1686,1686,1683,1683,1677,1677,1665,1665,1660,1660,1654,1654,1649,1649,1646,1646,1629,1629,1584,1584,1582,1582,1579,1579,1574,1574,1552,1552,1548,1548,1541,1541,1539,1539,1508,1508,1503,1503,0.0],[10799,10799,10799,10746,10746,10721,10721,10275,10275,9032,9032,8853,8853,8540,8540,8200,8200,7821,7821,7776,7776,7755,7755,7705,7705,7532,7532,7524,7524,7511,7511,7446,7446,7032,7032,7004,7004,6473,6473,6472,6472,6372,6372,6199,6199,6169,6169,6142,6142,6077,6077,6063,6063,6052,6052,5966,5966,5813,5813,5784,5784,5630,5630,5584,5584,5578,5578,5577,5577,5576,5576,5517,5517,5381,5381,5263,5263,5238,5238,5195,5195,5131,5131,5112,5112,5039,5039,5007,5007,4952,4952,4939,4939,4902,4902,4893,4893,4877,4877,4834,4834,4778,4778,4731,4731,4658,4658,4625,4625,4623,4623,4613,4613,4508,4508,4489,4489,4479,4479,4452,4452,4397,4397,4366,4366,4313,4313,4298,4298,4297,4297,4274,4274,4271,4271,4250,4250,4210,4210,4189,4189,4169,4169,4166,4166,4160,4160,4130,4130,4122,4122,4024,4024,3985,3985,3955,3955,3949,3949,3939,3939,3936,3936,3921,3921,3914,3914,3894,3894,3876,3876,3875,3875,3859,3859,3854,3854,3794,3794,3774,3774,3769,3769,3739,3739,3725,3725,3718,3718,3716,3716,3698,3698,3696,3696,3686,3686,3644,3644,3638,3638,3635,3635,3576,3576,3570,3570,3547,3547,3531,3531,3530,3530,3500,3500,3498,3498,3496,3496,3487,3487,3483,3483,3479,3479,3452,3452,3438,3438,3411,3411,3407,3407,3369,3369,3343,3343,3291,3291,3228,3228,3211,3211,3140,3140,3137,3137,3120,3120,3114,3114,3101,3101,3086,3086,3075,3075,3070,3070,3057,3057,3044,3044,3041,3041,3031,3031,3026,3026,3018,3018,3013,3013,3001,3001,2982,2982,2947,2947,2938,2938,2912,2912,2905,2905,2889,2889,2886,2886,2866,2866,2852,2852,2835,2835,2832,2832,2823,2823,2812,2812,2799,2799,2796,2796,2786,2786,2777,2777,2765,2765,2763,2763,2759,2759,2746,2746,2740,2740,2735,2735,2718,2718,2704,2704,2703,2703,2702,2702,2686,2686,2653,2653,2647,2647,2643,2643,2641,2641,2606,2606,2592,2592,2588,2588,2587,2587,2563,2563,2557,2557,2549,2549,2548,2548,2539,2539,2534,2534,2519,2519,2508,2508,2497,2497,2494,2494,2481,2481,2479,2479,2478,2478,2457,2457,2454,2454,2451,2451,2447,2447,2445,2445,2444,2444,2441,2441,2431,2431,2416,2416,2407,2407,2400,2400,2391,2391,2389,2389,2385,2385,2371,2371,2343,2343,2329,2329,2312,2312,2303,2303,2295,2295,2291,2291,2289,2289,2281,2281,2265,2265,2260,2260,2259,2259,2250,2250,2233,2233,2228,2228,2220,2220,2219,2219,2213,2213,2210,2210,2201,2201,2197,2197,2192,2192,2187,2187,2164,2164,2153,2153,2144,2144,2135,2135,2126,2126,2123,2123,2122,2122,2115,2115,2112,2112,2094,2094,2091,2091,2084,2084,2082,2082,2081,2081,2076,2076,2057,2057,2052,2052,2044,2044,2038,2038,2034,2034,2013,2013,2007,2007,2006,2006,1998,1998,1991,1991,1986,1986,1979,1979,1969,1969,1964,1964,1962,1962,1955,1955,1951,1951,1946,1946,1936,1936,1930,1930,1920,1920,1906,1906,1905,1905,1904,1904,1900,1900,1896,1896,1890,1890,1889,1889,1888,1888,1884,1884,1883,1883,1879,1879,1878,1878,1874,1874,1871,1871,1870,1870,1866,1866,1865,1865,1859,1859,1857,1857,1854,1854,1851,1851,1839,1839,1834,1834,1833,1833,1827,1827,1826,1826,1825,1825,1821,1821,1807,1807,1806,1806,1799,1799,1794,1794,1785,1785,1775,1775,1771,1771,1769,1769,1767,1767,1760,1760,1757,1757,1749,1749,1743,1743,1741,1741,1730,1730,1723,1723,1711,1711,1710,1710,1708,1708,1702,1702,1701,1701,1700,1700,1692,1692,1688,1688,1682,1682,1680,1680,1679,1679,1677,1677,1673,1673,1665,1665,1662,1662,1658,1658,1656,1656,1649,1649,1647,1647,1643,1643,1634,1634,1631,1631,1627,1627,1625,1625,1623,1623,1622,1622,1617,1617,1612,1612,1594,1594,1587,1587,1583,1583,1581,1581,1575,1575,1570,1570,1568,1568,1567,1567,1560,1560,1558,1558,1546,1546,1542,1542,1539,1539,1538,1538,1534,1534,1533,1533,1532,1532,1524,1524,1512,1512,1511,1511,1507,1507,0.0],[20465,20465,20465,18906,18906,18135,18135,17814,17814,16927,16927,16376,16376,16292,16292,15745,15745,15557,15557,14910,14910,14619,14619,14530,14530,14100,14100,13318,13318,13275,13275,13161,13161,13126,13126,13097,13097,12940,12940,12871,12871,12681,12681,12573,12573,11822,11822,11541,11541,11476,11476,11284,11284,11229,11229,10576,10576,10561,10561,10260,10260,10181,10181,9937,9937,9923,9923,9862,9862,9759,9759,9715,9715,9644,9644,9524,9524,9388,9388,9268,9268,9153,9153,9122,9122,8901,8901,8824,8824,8803,8803,8782,8782,8705,8705,8695,8695,8601,8601,8532,8532,8273,8273,8232,8232,8210,8210,8186,8186,8115,8115,7963,7963,7922,7922,7910,7910,7783,7783,7775,7775,7768,7768,7743,7743,7671,7671,7649,7649,7509,7509,7418,7418,7409,7409,7359,7359,7267,7267,7167,7167,7088,7088,7044,7044,7038,7038,6997,6997,6972,6972,6965,6965,6924,6924,6921,6921,6904,6904,6884,6884,6777,6777,6687,6687,6622,6622,6596,6596,6517,6517,6511,6511,6430,6430,6422,6422,6372,6372,6337,6337,6294,6294,6288,6288,6156,6156,6089,6089,6053,6053,5997,5997,5927,5927,5851,5851,5842,5842,5776,5776,5768,5768,5767,5767,5686,5686,5651,5651,5592,5592,5525,5525,5485,5485,5480,5480,5447,5447,5443,5443,5420,5420,5415,5415,5413,5413,5398,5398,5390,5390,5385,5385,5356,5356,5292,5292,5249,5249,5184,5184,5164,5164,5163,5163,5096,5096,4981,4981,4970,4970,4941,4941,4931,4931,4927,4927,4925,4925,4874,4874,4861,4861,4789,4789,4731,4731,4701,4701,4587,4587,4536,4536,4530,4530,4504,4504,4445,4445,4444,4444,4398,4398,4392,4392,4379,4379,4378,4378,4349,4349,4277,4277,4266,4266,4253,4253,4198,4198,4166,4166,4130,4130,4125,4125,4049,4049,4047,4047,4032,4032,4017,4017,4004,4004,3965,3965,3924,3924,3922,3922,3882,3882,3834,3834,3787,3787,3751,3751,3726,3726,3661,3661,3624,3624,3587,3587,3542,3542,3508,3508,3506,3506,3473,3473,3415,3415,3389,3389,3381,3381,3379,3379,3368,3368,3330,3330,3316,3316,3305,3305,3300,3300,3292,3292,3264,3264,3212,3212,3211,3211,3203,3203,3168,3168,3116,3116,3105,3105,3103,3103,3074,3074,3069,3069,3059,3059,3046,3046,3042,3042,3038,3038,2988,2988,2941,2941,2934,2934,2926,2926,2901,2901,2880,2880,2856,2856,2836,2836,2835,2835,2771,2771,2725,2725,2715,2715,2697,2697,2658,2658,2654,2654,2599,2599,2581,2581,2567,2567,2555,2555,2542,2542,2541,2541,2520,2520,2515,2515,2503,2503,2493,2493,2486,2486,2448,2448,2445,2445,2425,2425,2399,2399,2387,2387,2364,2364,2352,2352,2347,2347,2340,2340,2339,2339,2334,2334,2333,2333,2296,2296,2291,2291,2280,2280,2269,2269,2241,2241,2239,2239,2229,2229,2223,2223,2203,2203,2194,2194,2193,2193,2177,2177,2175,2175,2172,2172,2168,2168,2166,2166,2147,2147,2144,2144,2105,2105,2104,2104,2086,2086,2083,2083,2055,2055,1958,1958,1952,1952,1941,1941,1937,1937,1922,1922,1907,1907,1902,1902,1868,1868,1835,1835,1820,1820,1781,1781,1775,1775,1771,1771,1735,1735,1729,1729,1715,1715,1685,1685,1676,1676,1673,1673,1670,1670,1640,1640,1639,1639,1625,1625,1604,1604,1582,1582,1574,1574,1572,1572,1510,1510,1505,1505,0.0],[30634,30634,30634,30113,30113,25779,25779,24864,24864,24736,24736,23133,23133,23088,23088,21814,21814,20158,20158,19931,19931,18924,18924,18843,18843,17656,17656,17330,17330,16025,16025,15449,15449,14672,14672,14300,14300,14103,14103,14045,14045,13974,13974,13668,13668,13393,13393,13096,13096,13074,13074,12449,12449,12226,12226,12140,12140,12064,12064,12041,12041,12003,12003,11868,11868,11684,11684,11559,11559,11509,11509,11275,11275,11248,11248,10666,10666,10622,10622,10611,10611,10591,10591,10532,10532,10365,10365,10321,10321,10138,10138,10123,10123,10043,10043,9897,9897,9459,9459,9377,9377,9285,9285,9259,9259,9142,9142,9100,9100,8625,8625,8420,8420,8275,8275,8232,8232,8205,8205,8170,8170,8165,8165,8156,8156,8127,8127,8120,8120,8038,8038,7985,7985,7936,7936,7853,7853,7819,7819,7760,7760,7531,7531,7514,7514,7486,7486,7363,7363,7354,7354,7288,7288,7282,7282,7179,7179,7061,7061,6976,6976,6952,6952,6940,6940,6822,6822,6738,6738,6686,6686,6659,6659,6612,6612,6603,6603,6562,6562,6526,6526,6298,6298,6269,6269,6243,6243,6208,6208,6044,6044,6030,6030,6003,6003,5953,5953,5853,5853,5826,5826,5824,5824,5822,5822,5819,5819,5805,5805,5741,5741,5732,5732,5606,5606,5528,5528,5467,5467,5443,5443,5435,5435,5353,5353,5332,5332,5314,5314,5279,5279,5202,5202,5200,5200,5113,5113,5080,5080,5079,5079,4990,4990,4920,4920,4919,4919,4761,4761,4690,4690,4671,4671,4660,4660,4634,4634,4626,4626,4623,4623,4600,4600,4598,4598,4592,4592,4556,4556,4550,4550,4519,4519,4515,4515,4497,4497,4470,4470,4452,4452,4427,4427,4417,4417,4394,4394,4342,4342,4314,4314,4308,4308,4272,4272,4250,4250,4227,4227,4220,4220,4199,4199,4193,4193,4178,4178,4165,4165,4133,4133,4128,4128,4121,4121,4094,4094,4063,4063,3927,3927,3889,3889,3854,3854,3766,3766,3758,3758,3756,3756,3735,3735,3729,3729,3713,3713,3685,3685,3683,3683,3575,3575,3548,3548,3541,3541,3508,3508,3476,3476,3437,3437,3375,3375,3371,3371,3361,3361,3180,3180,3162,3162,3158,3158,3152,3152,3149,3149,3136,3136,3133,3133,3108,3108,3060,3060,3038,3038,3006,3006,3002,3002,2998,2998,2924,2924,2914,2914,2845,2845,2823,2823,2812,2812,2809,2809,2727,2727,2699,2699,2681,2681,2679,2679,2659,2659,2594,2594,2539,2539,2538,2538,2490,2490,2478,2478,2455,2455,2439,2439,2437,2437,2436,2436,2409,2409,2370,2370,2362,2362,2316,2316,2305,2305,2297,2297,2294,2294,2288,2288,2284,2284,2277,2277,2242,2242,2236,2236,2207,2207,2203,2203,2185,2185,2180,2180,2161,2161,2140,2140,2118,2118,2116,2116,2089,2089,2075,2075,2071,2071,2062,2062,2048,2048,2037,2037,2029,2029,1991,1991,1962,1962,1957,1957,1910,1910,1894,1894,1873,1873,1853,1853,1848,1848,1822,1822,1804,1804,1803,1803,1794,1794,1762,1762,1761,1761,1755,1755,1754,1754,1699,1699,1695,1695,1693,1693,1681,1681,1664,1664,1663,1663,1658,1658,1655,1655,1627,1627,1614,1614,1600,1600,1590,1590,1586,1586,1567,1567,1564,1564,1562,1562,1546,1546,1533,1533,1529,1529,1527,1527,1512,1512,0.0],[89712,89712,89712,78364,78364,74347,74347,62372,62372,60157,60157,59266,59266,57623,57623,49610,49610,48620,48620,46875,46875,46569,46569,45670,45670,44521,44521,42408,42408,41450,41450,39986,39986,35967,35967,33457,33457,31690,31690,31496,31496,30181,30181,24641,24641,23992,23992,23095,23095,22346,22346,20996,20996,20979,20979,20769,20769,20746,20746,18566,18566,18376,18376,18165,18165,18062,18062,17758,17758,17644,17644,17422,17422,16561,16561,15959,15959,15785,15785,14250,14250,13824,13824,13816,13816,13779,13779,13619,13619,13523,13523,13275,13275,13091,13091,12986,12986,12963,12963,12941,12941,12776,12776,12765,12765,12002,12002,11634,11634,9256,9256,9253,9253,9214,9214,9033,9033,8798,8798,8775,8775,7887,7887,7821,7821,7653,7653,6921,6921,6043,6043,5448,5448,5346,5346,5109,5109,4976,4976,4919,4919,4723,4723,4614,4614,4565,4565,4273,4273,3813,3813,3541,3541,3458,3458,3325,3325,2812,2812,2652,2652,2578,2578,2437,2437,2356,2356,2324,2324,1868,1868,1562,1562,0.0],[21163,21163,21163,14482,14482,14160,14160,14113,14113,12636,12636,11793,11793,11488,11488,11336,11336,10623,10623,10503,10503,10368,10368,9144,9144,9134,9134,9079,9079,8951,8951,8777,8777,8756,8756,8683,8683,8274,8274,8005,8005,7765,7765,7760,7760,7702,7702,7664,7664,7643,7643,7394,7394,7347,7347,7296,7296,7269,7269,7244,7244,7231,7231,7155,7155,7134,7134,6991,6991,6938,6938,6834,6834,6783,6783,6774,6774,6754,6754,6686,6686,6622,6622,6513,6513,6421,6421,6375,6375,6361,6361,6299,6299,6253,6253,6244,6244,6161,6161,6016,6016,5932,5932,5834,5834,5807,5807,5768,5768,5721,5721,5688,5688,5658,5658,5648,5648,5622,5622,5580,5580,5567,5567,5508,5508,5477,5477,5463,5463,5445,5445,5417,5417,5415,5415,5406,5406,5355,5355,5276,5276,5234,5234,5213,5213,5205,5205,5201,5201,5193,5193,5184,5184,5169,5169,5094,5094,5089,5089,5065,5065,5058,5058,5016,5016,4954,4954,4917,4917,4916,4916,4888,4888,4840,4840,4831,4831,4827,4827,4826,4826,4818,4818,4800,4800,4740,4740,4696,4696,4675,4675,4659,4659,4590,4590,4584,4584,4560,4560,4539,4539,4530,4530,4526,4526,4467,4467,4465,4465,4459,4459,4445,4445,4435,4435,4433,4433,4423,4423,4415,4415,4401,4401,4335,4335,4290,4290,4279,4279,4277,4277,4238,4238,4209,4209,4202,4202,4190,4190,4184,4184,4162,4162,4159,4159,4129,4129,4086,4086,4080,4080,4061,4061,3947,3947,3932,3932,3892,3892,3881,3881,3801,3801,3796,3796,3795,3795,3678,3678,3674,3674,3643,3643,3635,3635,3631,3631,3621,3621,3585,3585,3552,3552,3531,3531,3514,3514,3508,3508,3497,3497,3477,3477,3456,3456,3452,3452,3404,3404,3397,3397,3374,3374,3298,3298,3282,3282,3277,3277,3269,3269,3261,3261,3246,3246,3242,3242,3236,3236,3206,3206,3181,3181,3163,3163,3158,3158,3142,3142,3141,3141,3129,3129,3100,3100,3083,3083,3077,3077,3060,3060,3056,3056,3018,3018,3017,3017,3007,3007,3005,3005,2997,2997,2945,2945,2944,2944,2933,2933,2931,2931,2916,2916,2900,2900,2877,2877,2869,2869,2865,2865,2852,2852,2808,2808,2799,2799,2786,2786,2776,2776,2768,2768,2754,2754,2743,2743,2730,2730,2722,2722,2719,2719,2705,2705,2694,2694,2687,2687,2655,2655,2623,2623,2620,2620,2605,2605,2599,2599,2596,2596,2582,2582,2555,2555,2548,2548,2542,2542,2541,2541,2532,2532,2531,2531,2468,2468,2466,2466,2459,2459,2450,2450,2433,2433,2416,2416,2384,2384,2381,2381,2379,2379,2361,2361,2357,2357,2355,2355,2351,2351,2343,2343,2336,2336,2335,2335,2328,2328,2318,2318,2315,2315,2302,2302,2260,2260,2258,2258,2250,2250,2226,2226,2201,2201,2198,2198,2192,2192,2186,2186,2179,2179,2172,2172,2169,2169,2161,2161,2158,2158,2157,2157,2156,2156,2153,2153,2148,2148,2147,2147,2139,2139,2128,2128,2117,2117,2112,2112,2109,2109,2098,2098,2097,2097,2092,2092,2083,2083,2074,2074,2068,2068,2053,2053,2052,2052,2050,2050,2041,2041,2039,2039,2030,2030,2023,2023,2019,2019,2005,2005,1998,1998,1974,1974,1967,1967,1966,1966,1965,1965,1949,1949,1938,1938,1929,1929,1921,1921,1920,1920,1919,1919,1910,1910,1901,1901,1898,1898,1891,1891,1888,1888,1884,1884,1875,1875,1870,1870,1869,1869,1861,1861,1851,1851,1850,1850,1843,1843,1835,1835,1828,1828,1825,1825,1821,1821,1817,1817,1810,1810,1808,1808,1805,1805,1798,1798,1777,1777,1769,1769,1767,1767,1760,1760,1750,1750,1746,1746,1742,1742,1722,1722,1716,1716,1715,1715,1709,1709,1708,1708,1701,1701,1698,1698,1694,1694,1687,1687,1685,1685,1683,1683,1679,1679,1662,1662,1653,1653,1650,1650,1646,1646,1640,1640,1639,1639,1634,1634,1628,1628,1586,1586,1585,1585,1579,1579,1578,1578,1570,1570,1554,1554,1533,1533,1530,1530,1524,1524,1518,1518,1514,1514,1508,1508,1506,1506,0.0],[55498,55498,55498,52940,52940,47294,47294,46920,46920,46226,46226,40391,40391,38274,38274,37754,37754,37622,37622,35797,35797,33741,33741,28736,28736,28516,28516,27733,27733,26446,26446,25881,25881,24641,24641,24606,24606,24423,24423,23979,23979,23758,23758,23748,23748,22877,22877,21307,21307,20921,20921,19784,19784,18762,18762,18725,18725,18576,18576,18151,18151,17925,17925,17911,17911,17366,17366,17093,17093,16827,16827,15954,15954,15325,15325,15219,15219,15084,15084,14905,14905,14673,14673,14619,14619,14455,14455,14316,14316,14209,14209,14017,14017,13907,13907,13809,13809,13695,13695,13662,13662,13554,13554,13454,13454,13281,13281,12945,12945,12360,12360,12174,12174,12126,12126,12094,12094,11500,11500,11481,11481,11105,11105,10869,10869,10713,10713,10563,10563,9934,9934,9821,9821,9743,9743,9624,9624,9593,9593,9201,9201,8920,8920,8851,8851,8389,8389,8348,8348,8314,8314,8220,8220,8213,8213,8028,8028,8023,8023,7963,7963,7931,7931,7865,7865,7830,7830,7795,7795,7535,7535,7136,7136,7004,7004,6924,6924,6907,6907,6841,6841,6636,6636,6434,6434,6405,6405,6240,6240,6123,6123,6091,6091,6036,6036,5989,5989,5872,5872,5798,5798,5714,5714,5443,5443,5339,5339,5277,5277,5116,5116,4910,4910,4877,4877,4765,4765,4738,4738,4536,4536,4506,4506,4434,4434,4399,4399,4370,4370,4198,4198,4184,4184,4176,4176,4161,4161,4126,4126,4037,4037,3999,3999,3916,3916,3808,3808,3780,3780,3754,3754,3730,3730,3715,3715,3568,3568,3532,3532,3519,3519,3458,3458,3372,3372,3328,3328,3261,3261,3211,3211,3138,3138,3087,3087,3024,3024,3017,3017,2993,2993,2959,2959,2871,2871,2781,2781,2714,2714,2708,2708,2677,2677,2671,2671,2602,2602,2580,2580,2538,2538,2391,2391,2370,2370,2341,2341,2337,2337,2271,2271,2191,2191,2186,2186,2157,2157,2076,2076,2044,2044,2040,2040,2029,2029,2012,2012,2010,2010,1989,1989,1974,1974,1916,1916,1910,1910,1906,1906,1858,1858,1846,1846,1826,1826,1810,1810,1805,1805,1723,1723,1717,1717,1700,1700,1668,1668,1661,1661,1658,1658,1640,1640,1605,1605,1559,1559,1530,1530,0.0],[21285,21285,21285,20425,20425,19761,19761,18148,18148,15600,15600,15153,15153,15036,15036,15020,15020,14754,14754,14639,14639,14536,14536,14483,14483,13957,13957,13560,13560,13551,13551,13255,13255,13052,13052,12839,12839,12440,12440,12101,12101,11740,11740,11561,11561,11015,11015,10949,10949,10861,10861,10441,10441,10225,10225,9902,9902,9850,9850,9763,9763,9758,9758,9604,9604,9569,9569,9553,9553,9544,9544,9502,9502,9310,9310,9163,9163,9005,9005,8744,8744,8661,8661,8643,8643,8594,8594,8473,8473,8430,8430,8412,8412,8355,8355,8352,8352,8344,8344,8280,8280,8113,8113,8087,8087,7860,7860,7854,7854,7850,7850,7822,7822,7797,7797,7719,7719,7713,7713,7685,7685,7648,7648,7588,7588,7481,7481,7399,7399,7374,7374,7349,7349,7336,7336,7296,7296,7087,7087,7003,7003,6972,6972,6925,6925,6872,6872,6817,6817,6806,6806,6786,6786,6768,6768,6759,6759,6739,6739,6697,6697,6671,6671,6641,6641,6566,6566,6487,6487,6485,6485,6395,6395,6282,6282,6221,6221,6116,6116,5973,5973,5915,5915,5898,5898,5884,5884,5692,5692,5662,5662,5615,5615,5601,5601,5555,5555,5482,5482,5445,5445,5432,5432,5393,5393,5334,5334,5322,5322,5303,5303,5281,5281,5270,5270,5204,5204,5197,5197,5152,5152,5132,5132,5121,5121,5111,5111,5007,5007,4947,4947,4939,4939,4889,4889,4830,4830,4781,4781,4768,4768,4740,4740,4621,4621,4561,4561,4551,4551,4507,4507,4504,4504,4503,4503,4486,4486,4442,4442,4422,4422,4420,4420,4399,4399,4393,4393,4366,4366,4298,4298,4289,4289,4256,4256,4245,4245,4184,4184,4102,4102,4088,4088,4075,4075,4073,4073,4043,4043,4038,4038,4015,4015,4002,4002,3931,3931,3906,3906,3886,3886,3823,3823,3820,3820,3813,3813,3771,3771,3758,3758,3709,3709,3706,3706,3577,3577,3563,3563,3554,3554,3538,3538,3489,3489,3470,3470,3453,3453,3447,3447,3439,3439,3427,3427,3416,3416,3401,3401,3392,3392,3387,3387,3374,3374,3371,3371,3306,3306,3285,3285,3278,3278,3277,3277,3242,3242,3222,3222,3216,3216,3204,3204,3195,3195,3189,3189,3140,3140,3114,3114,3108,3108,3107,3107,3047,3047,3030,3030,3016,3016,3014,3014,3006,3006,2999,2999,2996,2996,2980,2980,2957,2957,2945,2945,2918,2918,2856,2856,2789,2789,2778,2778,2767,2767,2744,2744,2684,2684,2657,2657,2651,2651,2612,2612,2601,2601,2588,2588,2561,2561,2557,2557,2544,2544,2529,2529,2526,2526,2491,2491,2472,2472,2459,2459,2443,2443,2440,2440,2414,2414,2395,2395,2392,2392,2385,2385,2358,2358,2356,2356,2340,2340,2330,2330,2327,2327,2323,2323,2321,2321,2320,2320,2278,2278,2272,2272,2268,2268,2224,2224,2222,2222,2199,2199,2181,2181,2125,2125,2107,2107,2094,2094,2080,2080,2071,2071,2069,2069,2057,2057,2047,2047,2031,2031,2026,2026,2025,2025,2007,2007,1970,1970,1948,1948,1944,1944,1939,1939,1936,1936,1926,1926,1895,1895,1892,1892,1884,1884,1866,1866,1850,1850,1838,1838,1829,1829,1819,1819,1814,1814,1809,1809,1803,1803,1789,1789,1767,1767,1760,1760,1755,1755,1735,1735,1731,1731,1650,1650,1640,1640,1600,1600,1591,1591,1570,1570,1552,1552,1549,1549,1536,1536,1513,1513,0.0],[12110,12110,12110,9439,9439,8157,8157,7794,7794,7698,7698,7200,7200,6887,6887,6812,6812,6760,6760,6642,6642,6533,6533,6055,6055,6048,6048,6008,6008,5986,5986,5780,5780,5684,5684,5650,5650,5594,5594,5585,5585,5572,5572,5551,5551,5523,5523,5503,5503,5480,5480,5471,5471,5314,5314,5303,5303,5232,5232,5026,5026,5011,5011,4986,4986,4976,4976,4833,4833,4813,4813,4808,4808,4787,4787,4762,4762,4714,4714,4607,4607,4595,4595,4568,4568,4522,4522,4498,4498,4344,4344,4338,4338,4311,4311,4310,4310,4297,4297,4256,4256,4248,4248,4178,4178,4130,4130,4079,4079,4060,4060,4031,4031,4017,4017,4012,4012,3957,3957,3945,3945,3914,3914,3841,3841,3834,3834,3825,3825,3792,3792,3790,3790,3787,3787,3759,3759,3683,3683,3653,3653,3645,3645,3616,3616,3615,3615,3552,3552,3528,3528,3517,3517,3503,3503,3480,3480,3476,3476,3472,3472,3448,3448,3426,3426,3410,3410,3401,3401,3343,3343,3298,3298,3291,3291,3271,3271,3262,3262,3259,3259,3225,3225,3223,3223,3217,3217,3214,3214,3211,3211,3203,3203,3194,3194,3165,3165,3156,3156,3151,3151,3132,3132,3121,3121,3118,3118,3112,3112,3072,3072,3065,3065,3064,3064,3027,3027,3023,3023,3018,3018,3015,3015,3009,3009,3006,3006,2995,2995,2984,2984,2975,2975,2955,2955,2954,2954,2938,2938,2928,2928,2927,2927,2917,2917,2915,2915,2905,2905,2897,2897,2890,2890,2888,2888,2887,2887,2863,2863,2811,2811,2795,2795,2790,2790,2783,2783,2765,2765,2750,2750,2744,2744,2717,2717,2716,2716,2681,2681,2674,2674,2662,2662,2646,2646,2645,2645,2644,2644,2641,2641,2600,2600,2582,2582,2577,2577,2554,2554,2547,2547,2538,2538,2537,2537,2524,2524,2519,2519,2497,2497,2492,2492,2485,2485,2479,2479,2472,2472,2468,2468,2449,2449,2440,2440,2433,2433,2431,2431,2423,2423,2422,2422,2404,2404,2395,2395,2392,2392,2387,2387,2382,2382,2381,2381,2372,2372,2370,2370,2366,2366,2360,2360,2349,2349,2345,2345,2342,2342,2324,2324,2309,2309,2307,2307,2305,2305,2294,2294,2292,2292,2290,2290,2285,2285,2274,2274,2250,2250,2234,2234,2225,2225,2221,2221,2211,2211,2206,2206,2204,2204,2201,2201,2190,2190,2187,2187,2185,2185,2181,2181,2176,2176,2168,2168,2166,2166,2142,2142,2141,2141,2140,2140,2138,2138,2136,2136,2135,2135,2132,2132,2131,2131,2128,2128,2117,2117,2091,2091,2078,2078,2060,2060,2058,2058,2047,2047,2040,2040,2036,2036,2033,2033,2026,2026,2019,2019,2011,2011,2008,2008,1998,1998,1997,1997,1989,1989,1977,1977,1968,1968,1964,1964,1949,1949,1945,1945,1944,1944,1939,1939,1932,1932,1924,1924,1916,1916,1892,1892,1885,1885,1884,1884,1883,1883,1881,1881,1880,1880,1872,1872,1865,1865,1864,1864,1862,1862,1858,1858,1847,1847,1841,1841,1839,1839,1838,1838,1835,1835,1834,1834,1830,1830,1826,1826,1808,1808,1803,1803,1795,1795,1793,1793,1789,1789,1787,1787,1785,1785,1784,1784,1780,1780,1768,1768,1752,1752,1751,1751,1750,1750,1742,1742,1741,1741,1740,1740,1731,1731,1721,1721,1719,1719,1713,1713,1711,1711,1709,1709,1707,1707,1704,1704,1703,1703,1697,1697,1689,1689,1682,1682,1679,1679,1670,1670,1669,1669,1665,1665,1662,1662,1655,1655,1653,1653,1651,1651,1647,1647,1646,1646,1643,1643,1637,1637,1630,1630,1628,1628,1626,1626,1618,1618,1611,1611,1602,1602,1600,1600,1595,1595,1594,1594,1592,1592,1589,1589,1588,1588,1580,1580,1576,1576,1575,1575,1569,1569,1562,1562,1561,1561,1557,1557,1552,1552,1545,1545,1544,1544,1542,1542,1539,1539,1530,1530,1528,1528,1521,1521,1519,1519,1512,1512,1509,1509,1508,1508,1506,1506,1504,1504,1503,1503,1502,1502,0.0],[57258,57258,57258,54411,54411,46371,46371,40068,40068,37877,37877,36178,36178,33940,33940,32178,32178,24490,24490,23233,23233,23193,23193,23125,23125,23097,23097,20430,20430,19548,19548,19382,19382,19366,19366,18737,18737,18716,18716,17705,17705,16514,16514,16067,16067,15869,15869,15855,15855,15676,15676,15670,15670,15158,15158,13712,13712,13526,13526,13378,13378,13082,13082,12261,12261,12056,12056,12016,12016,11792,11792,11455,11455,11357,11357,11260,11260,11093,11093,10874,10874,10714,10714,10657,10657,10605,10605,10057,10057,10023,10023,9972,9972,9761,9761,9463,9463,9349,9349,8924,8924,8904,8904,8764,8764,8492,8492,8444,8444,8404,8404,8223,8223,8124,8124,8059,8059,8028,8028,8009,8009,8000,8000,7909,7909,7819,7819,7744,7744,7421,7421,7262,7262,7208,7208,7197,7197,7154,7154,7151,7151,6888,6888,6603,6603,6597,6597,6570,6570,6503,6503,6483,6483,6378,6378,6180,6180,6108,6108,5952,5952,5879,5879,5827,5827,5576,5576,5196,5196,5089,5089,5054,5054,4791,4791,4750,4750,4745,4745,4739,4739,4694,4694,4598,4598,4567,4567,4401,4401,4369,4369,4314,4314,4309,4309,4187,4187,4160,4160,4125,4125,4048,4048,3991,3991,3916,3916,3891,3891,3864,3864,3479,3479,3431,3431,3370,3370,3355,3355,3310,3310,3215,3215,3186,3186,3181,3181,3088,3088,3073,3073,3063,3063,3034,3034,2879,2879,2873,2873,2860,2860,2753,2753,2745,2745,2688,2688,2685,2685,2668,2668,2652,2652,2627,2627,2608,2608,2584,2584,2444,2444,2436,2436,2415,2415,2351,2351,2301,2301,2088,2088,2056,2056,2020,2020,2004,2004,1955,1955,1933,1933,1882,1882,1848,1848,1751,1751,1747,1747,1715,1715,1692,1692,1678,1678,1660,1660,1615,1615,1599,1599,1592,1592,1513,1513,1473,1473,1427,1427,1355,1355,1353,1353,1305,1305,1291,1291,1286,1286,1236,1236,1096,1096,1090,1090,1051,1051,1001,1001,0.0],[8911,8911,8911,8191,8191,6650,6650,6161,6161,6051,6051,5877,5877,5744,5744,5367,5367,5272,5272,5253,5253,5167,5167,5120,5120,5056,5056,4845,4845,4694,4694,4630,4630,4629,4629,4475,4475,4338,4338,4257,4257,4240,4240,4198,4198,4185,4185,4181,4181,4174,4174,4172,4172,4168,4168,4159,4159,4155,4155,4110,4110,4065,4065,3990,3990,3940,3940,3927,3927,3879,3879,3850,3850,3812,3812,3750,3750,3714,3714,3691,3691,3690,3690,3686,3686,3673,3673,3587,3587,3562,3562,3560,3560,3514,3514,3469,3469,3464,3464,3459,3459,3448,3448,3422,3422,3412,3412,3361,3361,3354,3354,3351,3351,3314,3314,3256,3256,3246,3246,3241,3241,3236,3236,3171,3171,3153,3153,3144,3144,3143,3143,3130,3130,3129,3129,3111,3111,3101,3101,3073,3073,3056,3056,3009,3009,2996,2996,2975,2975,2970,2970,2907,2907,2889,2889,2885,2885,2882,2882,2879,2879,2872,2872,2851,2851,2844,2844,2837,2837,2836,2836,2819,2819,2813,2813,2806,2806,2804,2804,2800,2800,2786,2786,2777,2777,2771,2771,2765,2765,2743,2743,2730,2730,2728,2728,2724,2724,2723,2723,2713,2713,2700,2700,2690,2690,2675,2675,2652,2652,2648,2648,2626,2626,2591,2591,2576,2576,2557,2557,2550,2550,2523,2523,2521,2521,2520,2520,2496,2496,2488,2488,2482,2482,2475,2475,2467,2467,2459,2459,2442,2442,2430,2430,2407,2407,2403,2403,2396,2396,2386,2386,2372,2372,2360,2360,2356,2356,2352,2352,2350,2350,2348,2348,2337,2337,2333,2333,2329,2329,2327,2327,2322,2322,2320,2320,2308,2308,2305,2305,2303,2303,2296,2296,2294,2294,2285,2285,2283,2283,2282,2282,2272,2272,2267,2267,2247,2247,2237,2237,2234,2234,2228,2228,2198,2198,2170,2170,2162,2162,2159,2159,2155,2155,2154,2154,2152,2152,2139,2139,2133,2133,2131,2131,2125,2125,2124,2124,2123,2123,2119,2119,2109,2109,2107,2107,2095,2095,2093,2093,2087,2087,2079,2079,2078,2078,2076,2076,2072,2072,2071,2071,2061,2061,2058,2058,2055,2055,2053,2053,2051,2051,2039,2039,2036,2036,2024,2024,2023,2023,2022,2022,2020,2020,2018,2018,2016,2016,2012,2012,2010,2010,1996,1996,1991,1991,1983,1983,1971,1971,1956,1956,1955,1955,1946,1946,1936,1936,1934,1934,1919,1919,1908,1908,1899,1899,1892,1892,1884,1884,1881,1881,1878,1878,1875,1875,1869,1869,1866,1866,1855,1855,1852,1852,1848,1848,1842,1842,1832,1832,1828,1828,1822,1822,1814,1814,1811,1811,1807,1807,1806,1806,1800,1800,1799,1799,1797,1797,1794,1794,1793,1793,1792,1792,1789,1789,1777,1777,1776,1776,1774,1774,1771,1771,1764,1764,1755,1755,1750,1750,1744,1744,1731,1731,1730,1730,1720,1720,1719,1719,1717,1717,1716,1716,1711,1711,1710,1710,1709,1709,1706,1706,1705,1705,1702,1702,1701,1701,1697,1697,1692,1692,1691,1691,1683,1683,1681,1681,1679,1679,1677,1677,1669,1669,1666,1666,1665,1665,1663,1663,1661,1661,1653,1653,1648,1648,1638,1638,1636,1636,1635,1635,1630,1630,1629,1629,1627,1627,1626,1626,1624,1624,1620,1620,1618,1618,1616,1616,1610,1610,1601,1601,1595,1595,1594,1594,1589,1589,1586,1586,1582,1582,1581,1581,1574,1574,1567,1567,1565,1565,1562,1562,1561,1561,1559,1559,1557,1557,1552,1552,1549,1549,1543,1543,1541,1541,1537,1537,1535,1535,1534,1534,1532,1532,1528,1528,1519,1519,1518,1518,1511,1511,1508,1508,1502,1502,1500,1500,0.0],[178357,178357,178357,162813,162813,154047,154047,135418,135418,119694,119694,105726,105726,92382,92382,79930,79930,73542,73542,60158,60158,46192,46192,44113,44113,24677,24677,24643,24643,23718,23718,22032,22032,13776,13776,13603,13603,10751,10751,8829,8829,5931,5931,0.0],[10108,10108,10108,9762,9762,9484,9484,9321,9321,8699,8699,8476,8476,8160,8160,7861,7861,7779,7779,7739,7739,7632,7632,7582,7582,7190,7190,6812,6812,6796,6796,6429,6429,6387,6387,6363,6363,6181,6181,6038,6038,5814,5814,5782,5782,5741,5741,5683,5683,5531,5531,5467,5467,5441,5441,5290,5290,5265,5265,5249,5249,5199,5199,5189,5189,5179,5179,5078,5078,4977,4977,4927,4927,4918,4918,4866,4866,4856,4856,4796,4796,4757,4757,4711,4711,4663,4663,4592,4592,4577,4577,4554,4554,4482,4482,4450,4450,4446,4446,4421,4421,4415,4415,4382,4382,4373,4373,4352,4352,4320,4320,4284,4284,4273,4273,4243,4243,4226,4226,4216,4216,4199,4199,4172,4172,4153,4153,4142,4142,4137,4137,4126,4126,4113,4113,4082,4082,4075,4075,3953,3953,3945,3945,3930,3930,3925,3925,3917,3917,3913,3913,3894,3894,3856,3856,3806,3806,3799,3799,3779,3779,3754,3754,3752,3752,3715,3715,3714,3714,3703,3703,3682,3682,3674,3674,3612,3612,3560,3560,3550,3550,3544,3544,3521,3521,3509,3509,3485,3485,3436,3436,3426,3426,3413,3413,3385,3385,3367,3367,3340,3340,3331,3331,3250,3250,3245,3245,3169,3169,3110,3110,3082,3082,3069,3069,3058,3058,3031,3031,3019,3019,3017,3017,3006,3006,2955,2955,2951,2951,2950,2950,2923,2923,2919,2919,2913,2913,2911,2911,2897,2897,2890,2890,2879,2879,2878,2878,2874,2874,2859,2859,2845,2845,2844,2844,2840,2840,2838,2838,2829,2829,2827,2827,2816,2816,2814,2814,2812,2812,2798,2798,2787,2787,2781,2781,2778,2778,2777,2777,2764,2764,2742,2742,2741,2741,2734,2734,2719,2719,2716,2716,2710,2710,2698,2698,2687,2687,2682,2682,2675,2675,2669,2669,2634,2634,2631,2631,2617,2617,2600,2600,2598,2598,2595,2595,2580,2580,2578,2578,2577,2577,2575,2575,2571,2571,2565,2565,2564,2564,2563,2563,2551,2551,2546,2546,2539,2539,2528,2528,2506,2506,2503,2503,2500,2500,2498,2498,2497,2497,2472,2472,2471,2471,2466,2466,2449,2449,2436,2436,2427,2427,2423,2423,2415,2415,2408,2408,2406,2406,2395,2395,2394,2394,2386,2386,2385,2385,2372,2372,2371,2371,2369,2369,2354,2354,2334,2334,2321,2321,2319,2319,2314,2314,2302,2302,2287,2287,2286,2286,2268,2268,2257,2257,2255,2255,2250,2250,2249,2249,2245,2245,2230,2230,2222,2222,2219,2219,2213,2213,2210,2210,2208,2208,2200,2200,2193,2193,2191,2191,2188,2188,2184,2184,2173,2173,2170,2170,2157,2157,2155,2155,2148,2148,2146,2146,2143,2143,2141,2141,2130,2130,2126,2126,2117,2117,2107,2107,2098,2098,2086,2086,2085,2085,2084,2084,2079,2079,2075,2075,2074,2074,2072,2072,2065,2065,2061,2061,2055,2055,2032,2032,2015,2015,2012,2012,2010,2010,2009,2009,2008,2008,2000,2000,1996,1996,1992,1992,1973,1973,1970,1970,1968,1968,1967,1967,1965,1965,1964,1964,1956,1956,1948,1948,1946,1946,1945,1945,1942,1942,1934,1934,1932,1932,1925,1925,1920,1920,1913,1913,1912,1912,1909,1909,1907,1907,1902,1902,1886,1886,1881,1881,1875,1875,1872,1872,1858,1858,1851,1851,1847,1847,1845,1845,1842,1842,1840,1840,1832,1832,1823,1823,1815,1815,1813,1813,1812,1812,1811,1811,1809,1809,1808,1808,1803,1803,1802,1802,1800,1800,1793,1793,1792,1792,1782,1782,1777,1777,1774,1774,1769,1769,1768,1768,1759,1759,1746,1746,1738,1738,1737,1737,1734,1734,1728,1728,1727,1727,1726,1726,1724,1724,1719,1719,1710,1710,1698,1698,1695,1695,1692,1692,1686,1686,1682,1682,1681,1681,1675,1675,1670,1670,1668,1668,1661,1661,1659,1659,1656,1656,1654,1654,1650,1650,1637,1637,1625,1625,1624,1624,1620,1620,1610,1610,1608,1608,1606,1606,1598,1598,1595,1595,1586,1586,1575,1575,1573,1573,1568,1568,1566,1566,1558,1558,1554,1554,1549,1549,1546,1546,1542,1542,1538,1538,1536,1536,1528,1528,1522,1522,1521,1521,1520,1520,1515,1515,1511,1511,1507,1507,1506,1506,1504,1504,0.0],[12322,12322,12322,10484,10484,9336,9336,9097,9097,9064,9064,8542,8542,8370,8370,8294,8294,8201,8201,7973,7973,7901,7901,7485,7485,7392,7392,7387,7387,7356,7356,7028,7028,6926,6926,6879,6879,6844,6844,6821,6821,6807,6807,6717,6717,6635,6635,6627,6627,6518,6518,6248,6248,6228,6228,6133,6133,6062,6062,5930,5930,5889,5889,5766,5766,5722,5722,5698,5698,5594,5594,5368,5368,5304,5304,5230,5230,5176,5176,5033,5033,5017,5017,5005,5005,4990,4990,4987,4987,4976,4976,4965,4965,4909,4909,4887,4887,4732,4732,4683,4683,4664,4664,4597,4597,4568,4568,4497,4497,4491,4491,4467,4467,4466,4466,4460,4460,4459,4459,4458,4458,4424,4424,4378,4378,4371,4371,4362,4362,4354,4354,4320,4320,4314,4314,4306,4306,4305,4305,4275,4275,4264,4264,4251,4251,4209,4209,4155,4155,4123,4123,4100,4100,4078,4078,4052,4052,4025,4025,4005,4005,4001,4001,3995,3995,3919,3919,3904,3904,3878,3878,3818,3818,3806,3806,3773,3773,3758,3758,3757,3757,3747,3747,3744,3744,3737,3737,3733,3733,3728,3728,3709,3709,3697,3697,3666,3666,3652,3652,3608,3608,3560,3560,3554,3554,3510,3510,3503,3503,3492,3492,3473,3473,3461,3461,3450,3450,3438,3438,3430,3430,3375,3375,3360,3360,3347,3347,3316,3316,3307,3307,3305,3305,3270,3270,3255,3255,3253,3253,3232,3232,3227,3227,3221,3221,3218,3218,3204,3204,3201,3201,3195,3195,3188,3188,3177,3177,3171,3171,3160,3160,3152,3152,3148,3148,3131,3131,3129,3129,3123,3123,3109,3109,3088,3088,3087,3087,3075,3075,3055,3055,3035,3035,3030,3030,3024,3024,3009,3009,2998,2998,2994,2994,2977,2977,2962,2962,2941,2941,2939,2939,2930,2930,2927,2927,2918,2918,2902,2902,2898,2898,2895,2895,2883,2883,2879,2879,2877,2877,2873,2873,2864,2864,2853,2853,2842,2842,2838,2838,2821,2821,2811,2811,2800,2800,2798,2798,2787,2787,2765,2765,2759,2759,2755,2755,2751,2751,2746,2746,2743,2743,2704,2704,2699,2699,2689,2689,2680,2680,2673,2673,2670,2670,2667,2667,2662,2662,2654,2654,2653,2653,2619,2619,2615,2615,2606,2606,2603,2603,2586,2586,2552,2552,2551,2551,2545,2545,2530,2530,2526,2526,2521,2521,2511,2511,2507,2507,2500,2500,2498,2498,2497,2497,2490,2490,2480,2480,2471,2471,2468,2468,2425,2425,2409,2409,2403,2403,2399,2399,2389,2389,2388,2388,2386,2386,2371,2371,2361,2361,2346,2346,2339,2339,2336,2336,2328,2328,2322,2322,2321,2321,2317,2317,2315,2315,2298,2298,2276,2276,2274,2274,2241,2241,2233,2233,2226,2226,2222,2222,2211,2211,2203,2203,2199,2199,2198,2198,2196,2196,2191,2191,2186,2186,2182,2182,2181,2181,2170,2170,2169,2169,2150,2150,2130,2130,2127,2127,2125,2125,2115,2115,2106,2106,2102,2102,2096,2096,2094,2094,2087,2087,2082,2082,2068,2068,2060,2060,2059,2059,2052,2052,2032,2032,2030,2030,2027,2027,2017,2017,2015,2015,2012,2012,2010,2010,1997,1997,1988,1988,1970,1970,1968,1968,1960,1960,1959,1959,1956,1956,1949,1949,1940,1940,1931,1931,1928,1928,1924,1924,1923,1923,1904,1904,1889,1889,1885,1885,1884,1884,1883,1883,1880,1880,1874,1874,1869,1869,1867,1867,1864,1864,1863,1863,1862,1862,1831,1831,1823,1823,1822,1822,1821,1821,1818,1818,1812,1812,1811,1811,1805,1805,1804,1804,1803,1803,1802,1802,1797,1797,1795,1795,1791,1791,1782,1782,1772,1772,1771,1771,1770,1770,1763,1763,1762,1762,1750,1750,1731,1731,1721,1721,1715,1715,1692,1692,1684,1684,1682,1682,1680,1680,1679,1679,1675,1675,1671,1671,1665,1665,1661,1661,1659,1659,1655,1655,1647,1647,1644,1644,1643,1643,1639,1639,1637,1637,1635,1635,1632,1632,1631,1631,1619,1619,1618,1618,1616,1616,1612,1612,1610,1610,1592,1592,1588,1588,1580,1580,1576,1576,1572,1572,1571,1571,1566,1566,1558,1558,1557,1557,1552,1552,1546,1546,1544,1544,1542,1542,1541,1541,1537,1537,1535,1535,1527,1527,1525,1525,1524,1524,1521,1521,1505,1505,1504,1504,1503,1503,0.0],[76340,76340,76340,47152,47152,46986,46986,45474,45474,40683,40683,40526,40526,37757,37757,34977,34977,30831,30831,28728,28728,28164,28164,27579,27579,26035,26035,25694,25694,24462,24462,24432,24432,22865,22865,22051,22051,21986,21986,21819,21819,20704,20704,20265,20265,20091,20091,19824,19824,19404,19404,18928,18928,18476,18476,18281,18281,18143,18143,18063,18063,17390,17390,17348,17348,16169,16169,15968,15968,15672,15672,15375,15375,15014,15014,14724,14724,13919,13919,13585,13585,13476,13476,13343,13343,13017,13017,12915,12915,12747,12747,12746,12746,12266,12266,11856,11856,11824,11824,11821,11821,11670,11670,11326,11326,11055,11055,10633,10633,10582,10582,10503,10503,10403,10403,10390,10390,10206,10206,10053,10053,9899,9899,9611,9611,9578,9578,9550,9550,9501,9501,9351,9351,9245,9245,9207,9207,9180,9180,9016,9016,8895,8895,8585,8585,8462,8462,8456,8456,8334,8334,8056,8056,8042,8042,7961,7961,7470,7470,7337,7337,7280,7280,7256,7256,6970,6970,6957,6957,6821,6821,6797,6797,6642,6642,6519,6519,6455,6455,6401,6401,6376,6376,6310,6310,6175,6175,6062,6062,6045,6045,5977,5977,5775,5775,5722,5722,5650,5650,5625,5625,5568,5568,5513,5513,5450,5450,5244,5244,5186,5186,5102,5102,4880,4880,4787,4787,4559,4559,4520,4520,4450,4450,4349,4349,4300,4300,4286,4286,4165,4165,4056,4056,4027,4027,4004,4004,3804,3804,3780,3780,3623,3623,3616,3616,3411,3411,3396,3396,3327,3327,3258,3258,3186,3186,3101,3101,3028,3028,3026,3026,2987,2987,2924,2924,2750,2750,2735,2735,2717,2717,2704,2704,2647,2647,2532,2532,2484,2484,2460,2460,2374,2374,2332,2332,2189,2189,2126,2126,2084,2084,2051,2051,2035,2035,1992,1992,1960,1960,1943,1943,1654,1654,1529,1529,1503,1503,0.0],[270436,270436,270436,210156,210156,163883,163883,162859,162859,138615,138615,135427,135427,105701,105701,100573,100573,92969,92969,83003,83003,79930,79930,60157,60157,43031,43031,31421,31421,24645,24645,21485,21485,14047,14047,13602,13602,13120,13120,10702,10702,5625,5625,2249,2249,1864,1864,0.0],[91261,91261,91261,66075,66075,62522,62522,60141,60141,52782,52782,50981,50981,50231,50231,46585,46585,45589,45589,43773,43773,41355,41355,37232,37232,36058,36058,35019,35019,32135,32135,31790,31790,31487,31487,29999,29999,24266,24266,23882,23882,23460,23460,22702,22702,21831,21831,21458,21458,20939,20939,20457,20457,20296,20296,20047,20047,20002,20002,17916,17916,17689,17689,17346,17346,17082,17082,16898,16898,16335,16335,15191,15191,14974,14974,14680,14680,14596,14596,13638,13638,13299,13299,13233,13233,12962,12962,12365,12365,11541,11541,11384,11384,11309,11309,11240,11240,10860,10860,10713,10713,10523,10523,10343,10343,9836,9836,9078,9078,8914,8914,8741,8741,8596,8596,8373,8373,7441,7441,7377,7377,7370,7370,7238,7238,7230,7230,6929,6929,5965,5965,5813,5813,5428,5428,5333,5333,4947,4947,4815,4815,4629,4629,4308,4308,4157,4157,4146,4146,4052,4052,4048,4048,3955,3955,3629,3629,3556,3556,3156,3156,3125,3125,3119,3119,3093,3093,2924,2924,2918,2918,2858,2858,2684,2684,2612,2612,2514,2514,2483,2483,2112,2112,2053,2053,2050,2050,1947,1947,1875,1875,1845,1845,1805,1805,1775,1775,1607,1607,1580,1580,1575,1575,1542,1542,0.0],[28771,28771,28771,24472,24472,23393,23393,22318,22318,22128,22128,20829,20829,20292,20292,19848,19848,19403,19403,17637,17637,17465,17465,17275,17275,16267,16267,15833,15833,15636,15636,14973,14973,14964,14964,14102,14102,13930,13930,13141,13141,12934,12934,12830,12830,12792,12792,12565,12565,12285,12285,12241,12241,12012,12012,11802,11802,11694,11694,11626,11626,11256,11256,11243,11243,11241,11241,10706,10706,10617,10617,10524,10524,10480,10480,10475,10475,10343,10343,10303,10303,10181,10181,10104,10104,10101,10101,9994,9994,9983,9983,9889,9889,9697,9697,9481,9481,9442,9442,9094,9094,9073,9073,9040,9040,9015,9015,8964,8964,8895,8895,8669,8669,8645,8645,8620,8620,8289,8289,8223,8223,8153,8153,8015,8015,7820,7820,7797,7797,7795,7795,7718,7718,7511,7511,7438,7438,7433,7433,7053,7053,6987,6987,6925,6925,6893,6893,6878,6878,6606,6606,6592,6592,6469,6469,6296,6296,6241,6241,6020,6020,6009,6009,5867,5867,5842,5842,5826,5826,5815,5815,5770,5770,5741,5741,5709,5709,5698,5698,5670,5670,5550,5550,5513,5513,5505,5505,5497,5497,5437,5437,5359,5359,5342,5342,5337,5337,5309,5309,5303,5303,5123,5123,5084,5084,5076,5076,5002,5002,4959,4959,4937,4937,4901,4901,4889,4889,4874,4874,4854,4854,4819,4819,4808,4808,4800,4800,4718,4718,4684,4684,4636,4636,4617,4617,4543,4543,4504,4504,4482,4482,4430,4430,4419,4419,4375,4375,4357,4357,4321,4321,4316,4316,4200,4200,4123,4123,4113,4113,4088,4088,4038,4038,4021,4021,4005,4005,3976,3976,3953,3953,3925,3925,3912,3912,3888,3888,3818,3818,3796,3796,3724,3724,3663,3663,3658,3658,3625,3625,3537,3537,3524,3524,3520,3520,3518,3518,3513,3513,3508,3508,3474,3474,3438,3438,3437,3437,3436,3436,3418,3418,3401,3401,3336,3336,3278,3278,3277,3277,3272,3272,3249,3249,3224,3224,3162,3162,3142,3142,3112,3112,3095,3095,3084,3084,3079,3079,3046,3046,3040,3040,3027,3027,3001,3001,2993,2993,2981,2981,2965,2965,2955,2955,2896,2896,2886,2886,2874,2874,2847,2847,2842,2842,2811,2811,2793,2793,2773,2773,2772,2772,2753,2753,2752,2752,2740,2740,2734,2734,2657,2657,2630,2630,2568,2568,2559,2559,2536,2536,2528,2528,2464,2464,2449,2449,2439,2439,2438,2438,2413,2413,2357,2357,2350,2350,2327,2327,2322,2322,2315,2315,2308,2308,2301,2301,2298,2298,2283,2283,2276,2276,2242,2242,2183,2183,2174,2174,2157,2157,2103,2103,2057,2057,2042,2042,2039,2039,2016,2016,2008,2008,1961,1961,1919,1919,1906,1906,1866,1866,1853,1853,1831,1831,1830,1830,1821,1821,1819,1819,1779,1779,1751,1751,1748,1748,1709,1709,1701,1701,1695,1695,1671,1671,1650,1650,1649,1649,1636,1636,1608,1608,1606,1606,1600,1600,1595,1595,1586,1586,1581,1581,1575,1575,1535,1535,1534,1534,1528,1528,0.0],[27479,27479,27479,14928,14928,13072,13072,12180,12180,11822,11822,10866,10866,10663,10663,10535,10535,10516,10516,10303,10303,10041,10041,9838,9838,9706,9706,9679,9679,9606,9606,9193,9193,9184,9184,8708,8708,8653,8653,8536,8536,8326,8326,8319,8319,8128,8128,8125,8125,7584,7584,7464,7464,7448,7448,7358,7358,7354,7354,7313,7313,7300,7300,7187,7187,7135,7135,7133,7133,7107,7107,7043,7043,7038,7038,7002,7002,6945,6945,6877,6877,6867,6867,6732,6732,6712,6712,6660,6660,6526,6526,6506,6506,6462,6462,6385,6385,6260,6260,6175,6175,6140,6140,6128,6128,6109,6109,6092,6092,6087,6087,6077,6077,6024,6024,5999,5999,5909,5909,5870,5870,5802,5802,5790,5790,5768,5768,5737,5737,5730,5730,5720,5720,5663,5663,5622,5622,5592,5592,5583,5583,5463,5463,5461,5461,5426,5426,5417,5417,5410,5410,5391,5391,5344,5344,5332,5332,5288,5288,5266,5266,5169,5169,5156,5156,5146,5146,5093,5093,5036,5036,5010,5010,4965,4965,4925,4925,4918,4918,4912,4912,4720,4720,4681,4681,4667,4667,4621,4621,4595,4595,4594,4594,4570,4570,4546,4546,4511,4511,4504,4504,4476,4476,4458,4458,4447,4447,4440,4440,4412,4412,4411,4411,4403,4403,4351,4351,4299,4299,4273,4273,4259,4259,4247,4247,4228,4228,4221,4221,4212,4212,4205,4205,4203,4203,4164,4164,4121,4121,4119,4119,4101,4101,4032,4032,4013,4013,4008,4008,3997,3997,3986,3986,3983,3983,3971,3971,3937,3937,3936,3936,3908,3908,3904,3904,3840,3840,3834,3834,3813,3813,3812,3812,3773,3773,3766,3766,3740,3740,3728,3728,3708,3708,3704,3704,3686,3686,3668,3668,3651,3651,3583,3583,3578,3578,3559,3559,3547,3547,3546,3546,3538,3538,3525,3525,3509,3509,3508,3508,3499,3499,3479,3479,3476,3476,3471,3471,3446,3446,3419,3419,3416,3416,3413,3413,3376,3376,3368,3368,3361,3361,3358,3358,3292,3292,3270,3270,3198,3198,3194,3194,3184,3184,3156,3156,3140,3140,3138,3138,3133,3133,3116,3116,3112,3112,3106,3106,3099,3099,3080,3080,3076,3076,3042,3042,3015,3015,3014,3014,3002,3002,2992,2992,2982,2982,2947,2947,2927,2927,2920,2920,2907,2907,2873,2873,2869,2869,2865,2865,2859,2859,2843,2843,2826,2826,2819,2819,2797,2797,2795,2795,2791,2791,2788,2788,2787,2787,2752,2752,2724,2724,2722,2722,2707,2707,2702,2702,2700,2700,2693,2693,2692,2692,2690,2690,2676,2676,2671,2671,2664,2664,2663,2663,2653,2653,2652,2652,2650,2650,2646,2646,2642,2642,2621,2621,2607,2607,2604,2604,2594,2594,2584,2584,2562,2562,2545,2545,2542,2542,2527,2527,2522,2522,2508,2508,2493,2493,2475,2475,2463,2463,2453,2453,2444,2444,2435,2435,2411,2411,2400,2400,2399,2399,2395,2395,2393,2393,2388,2388,2387,2387,2383,2383,2369,2369,2366,2366,2359,2359,2357,2357,2355,2355,2354,2354,2353,2353,2350,2350,2329,2329,2327,2327,2319,2319,2317,2317,2310,2310,2307,2307,2305,2305,2304,2304,2302,2302,2281,2281,2276,2276,2274,2274,2266,2266,2255,2255,2254,2254,2248,2248,2216,2216,2211,2211,2209,2209,2203,2203,2196,2196,2180,2180,2175,2175,2166,2166,2162,2162,2150,2150,2147,2147,2109,2109,2089,2089,2082,2082,2076,2076,2072,2072,2060,2060,2053,2053,2034,2034,2031,2031,2020,2020,2018,2018,2016,2016,2004,2004,1996,1996,1986,1986,1985,1985,1983,1983,1959,1959,1949,1949,1945,1945,1940,1940,1939,1939,1936,1936,1932,1932,1929,1929,1920,1920,1916,1916,1914,1914,1910,1910,1901,1901,1882,1882,1838,1838,1819,1819,1818,1818,1814,1814,1813,1813,1806,1806,1791,1791,1787,1787,1780,1780,1773,1773,1764,1764,1762,1762,1756,1756,1731,1731,1711,1711,1699,1699,1696,1696,1687,1687,1684,1684,1680,1680,1676,1676,1665,1665,1661,1661,1652,1652,1650,1650,1648,1648,1642,1642,1639,1639,1627,1627,1620,1620,1618,1618,1612,1612,1610,1610,1608,1608,1601,1601,1599,1599,1598,1598,1595,1595,1594,1594,1584,1584,1576,1576,1573,1573,1565,1565,1564,1564,1562,1562,1561,1561,1558,1558,1550,1550,1531,1531,1509,1509,1508,1508,1507,1507,1502,1502,0.0],[274198,274198,274198,264044,264044,177316,177316,175970,175970,136373,136373,119647,119647,107051,107051,72307,72307,50096,50096,45207,45207,42164,42164,36522,36522,24643,24643,18317,18317,18265,18265,17409,17409,16283,16283,13623,13623,13290,13290,10750,10750,10343,10343,10018,10018,7902,7902,6758,6758,5801,5801,5453,5453,4580,4580,4271,4271,3195,3195,3107,3107,2841,2841,2729,2729,0.0],[134741,134741,134741,124694,124694,102364,102364,93752,93752,92533,92533,77140,77140,71502,71502,70378,70378,57134,57134,56488,56488,55534,55534,55497,55497,46585,46585,46573,46573,44867,44867,41135,41135,31568,31568,30646,30646,27848,27848,27193,27193,26408,26408,25676,25676,24642,24642,23212,23212,21591,21591,20796,20796,19923,19923,18813,18813,17375,17375,15534,15534,15104,15104,14894,14894,14119,14119,13623,13623,13299,13299,11396,11396,11195,11195,10826,10826,10704,10704,10556,10556,10343,10343,8232,8232,7245,7245,6408,6408,5453,5453,5389,5389,5344,5344,4891,4891,4647,4647,4450,4450,3464,3464,3164,3164,3125,3125,3107,3107,2967,2967,2659,2659,2605,2605,2576,2576,2460,2460,2274,2274,2266,2266,1852,1852,1828,1828,1657,1657,1619,1619,1595,1595,1580,1580,1574,1574,1501,1501,0.0],[275228,275228,275228,221102,221102,190009,190009,136373,136373,130739,130739,124559,124559,107050,107050,77553,77553,47109,47109,46586,46586,40561,40561,39970,39970,34168,34168,24643,24643,18267,18267,17377,17377,13623,13623,13290,13290,10750,10750,10343,10343,8964,8964,8696,8696,8265,8265,5453,5453,5361,5361,4985,4985,4902,4902,3195,3195,3107,3107,2122,2122,1585,1585,0.0]],"filenames":["extra_ERR1806394.25","extra_SRR2174313.4","extra_SRR2174314.14","extra_SRR2174315.7","extra_SRR2174317.1","extra_SRR2174320.38","extra_SRR2174321.10","extra_SRR5580761.114","extra_SRR5580762.42","extra_SRR5580763.92","extra_SRR5925326.20","extra_SRR5927679.39","extra_SRR5927681.71","extra_SRR5927682.28","extra_SRR5927686.74","extra_SRR5927689.35","extra_SRR5927690.6","extra_SRR5927696.30","extra_SRR5927698.79","extra_SRR5927701.10","extra_SRR5927702.80","extra_SRR5927704.2","extra_SRR5927705.1","extra_SRR5927707.30","extra_SRR5927708.48","extra_SRR5927709.41","extra_SRR5927712.38","extra_SRR5927714.26","extra_SRR5927715.35","extra_SRR5927718.58","extra_SRR6032568.47","extra_SRR6032569.13","extra_SRR6032570.31","extra_SRR6032571.9","extra_SRR6032572.43","extra_SRR6032575.4","extra_SRR6032579.13","extra_SRR6032581.14","extra_SRR6032583.10","extra_SRR6032588.12","extra_SRR6032598.1","extra_SRR6945401.17","iMGMC_978","single_China_S_Fe11_120417.17","single_China_S_Fe12_120417.16","single_China_S_Fe13_120417.57","single_China_S_Fe14_120416.68","single_China_S_Fe16_120417.26","single_China_S_Fe20_120416.35","single_wildmice_C1220.78","single_wildmice_C1224.60","single_wildmice_C1226.64","single_wildmice_C1231.76","single_wildmice_C1239.77","single_wildmice_C1243.78"]}
{"coord_x":[[0.0,1e-10,0.9622079238226949,0.9622079239226949,1.7999172123724683,1.7999172124724683,2.5716501540769734,2.5716501541769734,3.3138047575924343,3.3138047576924343,4.048743198171694,4.048743198271694,4.707555084698721,4.707555084798721,5.347176735725082,5.347176735825082,5.954286004291634,5.954286004391634,6.558302631599815,6.558302631699815,7.158988722168211,7.158988722268211,7.756502872984431,7.756502873084431,8.346007875926405,8.346007876026405,8.893405378658239,8.893405378758239,9.423119317271688,9.423119317371688,9.936021975198603,9.936021975298603,10.447259364755626,10.447259364855626,10.945650398316335,10.945650398416335,11.432146657806381,11.432146657906381,11.916819051938928,11.916819052038928,12.393006507234402,12.393006507334402,12.863643067963567,12.863643068063567,13.32270204859729,13.32270204869729,13.768756076247088,13.768756076347088,14.214492909921669,14.214492910021669,14.657295699325488,14.657295699425488,15.097005847470934,15.097005847570934,15.532354578457136,15.532354578557136,15.960645743494748,15.960645743594748,16.386478655224423,16.38647865532442,16.81128068653464,16.81128068663464,17.235527628388226,17.235527628488224,17.645659438344627,17.645659438444625,18.46520937181319,18.46520937191319,18.87327942093068,18.873279421030677,19.28127017155436,19.28127017165436,19.68648547489489,19.68648547499489,20.08837024149563,20.08837024159563,20.479866905408,20.479866905507997,20.869777599444276,20.869777599544275,21.257547234147836,21.257547234247834,21.64095545169215,21.64095545179215,22.020715938521462,22.02071593862146,22.399921335894145,22.399921335994144,22.775479002551826,22.775479002651824,23.149292102345807,23.149292102445806,23.52167782925131,23.521677829351308,23.893191272724966,23.893191272824964,24.264070328248184,24.264070328348183,24.63360130937673,24.633601309476727,24.9999603507531,24.999960350853097,25.365050616228594,25.365050616328592,25.724748584125393,25.72474858422539,26.083812164071755,26.083812164171754,26.434628700662458,26.434628700762456,26.78536593875936,26.785365938859357,27.483906370682394,27.483906370782393,27.82901341571918,27.82901341581918,28.173010281842707,28.173010281942705,28.515817670559166,28.515817670659164,28.858228566806602,28.8582285669066,29.198181209746103,29.1981812098461,29.535358405402448,29.535358405502446,29.87190121310836,29.871901213208357,30.208364722320464,30.208364722420463,30.543480157137896,30.543480157237894,30.878199099486306,30.878199099586304,31.212442250871888,31.212442250971886,31.54581311882562,31.54581311892562,31.876963628952833,31.87696362905283,32.20589378125352,32.205893781353524,32.534427441085185,32.53442744118519,32.86153372802837,32.86153372812837,33.185230179737964,33.185230179837966,33.507499258559086,33.50749925865909,33.82937184491118,33.82937184501118,34.15116513276947,34.15116513286947,34.47200683870211,34.47200683880211,34.790945380783434,34.790945380883436,35.109646027383356,35.10964602748336,35.42826737548947,35.42826737558947,35.745937141669934,35.745937141769936,36.05892829671593,36.058928296815935,36.370333481885844,36.370333481985845,36.67951830922924,36.67951830932924,36.9883066441036,36.988306644203604,37.29566760608949,37.29566760618949,37.60120470271788,37.60120470281788,37.90634530687724,37.906345306977244,38.21101012007378,38.21101012017378,38.51519914230749,38.51519914240749,38.81922956755359,38.81922956765359,39.12262560484926,39.12262560494926,39.424832164737865,39.424832164837866,39.726166441194614,39.726166441294616,40.026231941750495,40.0262319418505,40.32074654774007,40.32074654784007,40.61518185523584,40.61518185533584,40.90914137176878,40.909141371868785,41.203021589807925,41.20302158990793,41.49602952441521,41.496029524515215,41.78864096655348,41.78864096665348,42.0803008267661,42.0803008268661,42.36910594120175,42.369105941301754,42.656562981242736,42.65656298134274,42.9437028273085,42.9437028274085,43.229811792954806,43.22981179305481,43.514414087218825,43.514414087318826,43.79861988901383,43.79861988911383,44.08187410888318,44.08187410898318,44.36346306038263,44.36346306048263,44.64267305706795,44.642673057167954,44.92101077032143,44.92101077042143,45.19887269261208,45.19887269271208,45.47665531640892,45.476655316508925,45.75245547786065,45.75245547796065,46.02793844533717,46.02793844543717,46.30318351733227,46.303183517432274,46.575732440538026,46.57573244063803,46.84661609537388,46.846616095473884,47.1148828999142,47.1148829000142,47.38299110746691,47.38299110756691,47.649434046649716,47.64943404674972,47.914528911437856,47.91452891153786,48.708227535926184,48.708227536026186,48.97149853535682,48.971498535456824,49.23278707244235,49.23278707254235,49.493917012540265,49.49391701264027,49.75409537071253,49.75409537081253,50.01221196804588,50.012211968145884,50.26882189399694,50.268821894096945,50.5251939244666,50.5251939245666,50.781328059454836,50.78132805955484,51.03730359745547,51.03730359755547,51.29113807612338,51.29113807622338,51.54465536081608,51.54465536091608,51.79801404852116,51.79801404862116,52.05018325881918,52.05018325891918,52.30140088719155,52.30140088729155,52.55158763514446,52.55158763524446,53.051564638581254,53.051564638681256,53.30087910310232,53.30087910320232,53.79617749540465,53.79617749550465,54.0416856322231,54.0416856323231,54.28568709765927,54.28568709775927,54.52897487665119,54.52897487675119,54.77210405865551,54.77210405875551,55.013885166265155,55.01388516636516,55.25542837839338,55.255428378493384,55.49649579955879,55.49649579965879,55.73581865386049,55.73581865396049,55.97442782171795,55.974427821817955,56.21279909409401,56.21279909419401,56.4500601875568,56.4500601876568,56.687241982525784,56.687241982625785,57.16073328903191,57.16073328913191,57.3963291141248,57.396329114224805,57.6318456407239,57.631845640823904,57.86672777937256,57.86672777947256,58.09899306772567,58.098993067825674,58.563444345938095,58.5634443460381,58.79428226140273,58.79428226150273,59.02456508741073,59.02456508751073,59.25302404806123,59.25302404816123,59.479897038835645,59.47989703893565,59.70550125370919,59.70550125380919,60.15488581809877,60.15488581819877,60.37676300376351,60.37676300386351,60.598164398465414,60.598164398565416,60.81845561425406,60.818455614354065,61.03811244209228,61.03811244219228,61.25657979252342,61.25657979262342,61.47433345651033,61.47433345661033,61.68994606116451,61.689946061264514,61.90540006883109,61.905400068931094,62.12029898704104,62.12029898714104,62.335039308263376,62.33503930836338,62.54970033099191,62.54970033109191,62.76372696577001,62.76372696587001,62.977674302054304,62.977674302154306,63.190432160931536,63.19043216103154,63.40295212432735,63.40295212442735,63.61507559525414,63.61507559535414,63.82553379781105,63.82553379791105,64.03591270187414,64.03591270197414,64.2456572179868,64.2456572180868,64.45294348079153,64.45294348089153,64.65983325112722,64.65983325122723,64.86632652899391,64.86632652909391,65.07218541891015,65.07218541901015,65.27590324949368,65.27590324959368,65.47946248308959,65.4794624831896,65.6826252242165,65.6826252243165,65.88531217438056,65.88531217448056,66.08712684111278,66.08712684121278,66.28751413495652,66.28751413505653,66.48774283181265,66.48774283191266,66.68678205126172,66.68678205136172,66.88526618125415,66.88526618135415,67.08367101275279,67.08367101285279,67.2817586502762,67.2817586503762,67.47849821340493,67.47849821350493,67.67499988105226,67.67499988115226,67.87094645924296,67.87094645934296,68.06641724647082,68.06641724657082,68.26117434725445,68.26117434735445,68.45577285105047,68.45577285115047,68.64997486237746,68.64997486247746,68.843145993285,68.84314599338501,69.03536554226689,69.03536554236689,69.22750579275497,69.22750579285497,69.41893235679882,69.41893235689882,69.61020032385505,69.61020032395506,69.80075460446704,69.80075460456705,69.99115028809143,69.99115028819143,70.18091158376538,70.18091158386538,70.37043498395792,70.37043498405792,70.74813370994832,70.74813371004832,70.93567464779574,70.93567464789574,71.12273979468034,71.12273979478034,71.30845686717026,71.30845686727027,71.4925879697841,71.4925879698841,71.6760053859537,71.6760053860537,71.85934350362949,71.85934350372949,72.04165074088583,72.04165074098583,72.22372008266075,72.22372008276075,72.40571012594187,72.40571012604187,72.58746227374158,72.58746227384158,72.76794564564041,72.76794564574041,73.12859519546286,73.12859519556287,73.30868207489267,73.30868207499267,73.48686579047117,73.48686579057117,73.66481161056826,73.66481161066827,73.84204374422112,73.84204374432112,74.01872078841734,74.01872078851734,74.19317747478705,74.19317747488705,74.36731696718152,74.36731696728152,74.54113926560079,74.54113926570079,74.71424787757581,74.71424787767582,74.88703929557562,74.88703929567562,75.05975141508162,75.05975141518162,75.40501705710602,75.40501705720602,75.5774912811306,75.5774912812306,75.74853813226672,75.74853813236672,75.91887129695859,75.91887129705859,76.08872867068763,76.08872867078763,76.25850674592287,76.25850674602287,76.4280469256767,76.4280469257767,76.5971113144677,76.5971113145677,76.76601710627108,76.76601710637108,76.9335748236798,76.93357482377981,77.1008153471133,77.1008153472133,77.26654919916452,77.26654919926452,77.4318865587467,77.4318865588467,77.59690672435367,77.59690672445367,77.76153039749163,77.76153039759163,77.92583687665436,77.92583687675436,78.08855738594102,78.08855738604102,78.2501677163144,78.2501677164144,78.41098506174974,78.41098506184974,78.57108872074083,78.57108872084083,78.73063729027531,78.73063729037531,78.88994796432837,78.88994796442837,79.04910004139381,79.04910004149382,79.20817281996545,79.20817282006546,79.36669050908047,79.36669050918047,79.5237015268132,79.5237015269132,79.6803160520769,79.6803160521769,79.8366926818592,79.8366926819592,79.99259352067867,79.99259352077867,80.14833576251053,80.14833576261053,80.30368151187336,80.30368151197337,80.45744129136011,80.45744129146011,80.61032878741501,80.61032878751502,80.76313698497611,80.76313698507612,80.9157072870558,80.9157072871558,81.06764320118504,81.06764320128504,81.21886542887005,81.21886542897005,81.36945326860462,81.36945326870462,81.67047035108615,81.67047035118615,81.82026520588268,81.82026520598268,81.96887058327214,81.96887058337214,82.11668297572356,82.11668297582357,82.41175267116976,82.41175267126977,82.55821698922651,82.55821698932651,82.70460200878945,82.70460200888945,82.85051123738955,82.85051123748956,82.99626186900205,82.99626186910206,83.14193320212075,83.14193320222076,83.28593926686956,83.28593926696956,83.42946954065555,83.42946954075555,83.57252402347869,83.5725240235787,83.71534061082043,83.71534061092044,84.00041869604729,84.00041869614729,84.14220440296957,84.14220440306957,84.28058027465826,84.28058027475826,84.41855965387794,84.41855965397794,84.55614254062858,84.55614254072859,84.69277384545357,84.69277384555357,84.82885006082195,84.82885006092195,85.10036810360825,85.10036810370825,85.23573063253237,85.23573063263237,85.37093456446888,85.37093456456888,85.50479042201073,85.50479042211073,85.63753610063931,85.63753610073931,85.76917160035462,85.76917160045463,85.90056920458852,85.90056920468852,86.03117382388439,86.03117382398439,86.16169914468645,86.16169914478645,86.29198657000708,86.29198657010708,86.42211539834013,86.42211539844013,86.55168913721653,86.55168913731653,86.94033105535193,86.94033105545194,87.06879461531507,87.06879461541507,87.1970995782906,87.1970995783906,87.32500804879712,87.32500804889712,87.4524407283408,87.4524407284408,87.57915972144025,87.57915972154025,87.70564081905829,87.70564081915829,87.83172542420729,87.8317254243073,87.95733423839347,87.95733423849347,88.08135708270358,88.08135708280358,88.20530062851986,88.20530062861987,88.32916487584235,88.32916487594235,88.45263263069582,88.45263263079582,88.57594178856166,88.57594178866167,88.69909234943991,88.69909234953991,88.82216361182435,88.82216361192435,88.94412469529554,88.94412469539554,89.0656099878039,89.0656099879039,89.30842197583299,89.30842197593299,89.42959007436613,89.42959007446613,89.55044097892404,89.55044097902405,89.79190489255848,89.79190489265848,90.03297231372387,90.03297231382388,90.15326812882516,90.15326812892516,90.27324674995123,90.27324675005123,90.39306677408969,90.39306677418969,90.51217311178391,90.51217311188391,90.74998929470334,90.74998929480334,90.8680647519781,90.8680647520781,90.98590231377145,90.98590231387145,91.10270899514535,91.10270899524535,91.21840549760599,91.21840549770599,91.33108865730205,91.33108865740205,91.4436132200105,91.4436132201105,91.55360023091721,91.55360023101721,91.66057389905936,91.66057389915936,91.74708855579998,91.74708855589998,91.82432528876546,91.82432528886547,91.89902446992922,91.89902447002922,91.9688071444771,91.9688071445771,92.03510068529758,92.03510068539758,92.09727070444023,92.09727070454024,92.14794244198126,92.14794244208126,92.19639382169575,92.19639382179575,92.23564657612893,92.23564657622893,92.27394774863646,92.27394774873646,92.31129733921834,92.31129733931834,92.34151006535782,92.34151006545783,92.36070030085848,92.36070030095848,92.37211928396633,92.37211928406633,92.37909755142111,92.37909755152111],[0.0,1e-10,1.3461832644944165,1.3461832645944165,2.67971301064973,2.67971301074973,3.9370698354601945,3.9370698355601945,4.9183155586024725,4.9183155587024725,5.877842556237335,5.877842556337335,6.836865931251735,6.836865931351735,7.795448636473232,7.795448636573232,8.750128266386149,8.750128266486149,9.637889040605204,9.637889040705204,10.506512155246709,10.506512155346709,11.360467261067264,11.360467261167264,12.210204527441451,12.210204527541451,13.029535578105259,13.029535578205259,13.845215364770716,13.845215364870716,14.622745737936192,14.622745738036192,15.39996134696388,15.39996134706388,16.15608775875973,16.156087758859726,16.900693803112514,16.900693803212512,17.641019055191375,17.641019055291373,18.361136449624205,18.361136449724203,19.070866627510007,19.070866627610005,19.764480881541036,19.764480881641035,20.441853306062168,20.441853306162166,21.11891096644551,21.11891096654551,21.78400758959289,21.784007589692887,22.42908521357691,22.42908521367691,23.068371177425618,23.068371177525616,23.70709056582631,23.707090565926308,24.345369284434096,24.345369284534094,24.97118334318545,24.97118334328545,25.59435338317938,25.59435338327938,26.20209998042167,26.20209998052167,26.80122204028855,26.80122204038855,27.391341845814676,27.391341845914674,27.978880585410934,27.978880585510932,28.56371235342221,28.56371235352221,29.14646667812408,29.14646667822408,29.728780333033047,29.728780333133045,30.304987563668917,30.304987563768915,30.87080757775776,30.870807577857757,31.426492186609806,31.426492186709805,31.976699899464336,31.976699899564334,32.52042347108041,32.520423471180415,33.06018101456036,33.06018101466036,33.596979775145094,33.596979775245096,34.11690717794435,34.11690717804435,34.63626800529559,34.63626800539559,35.155502926991716,35.15550292709172,35.662713858624315,35.66271385872432,36.161615017019294,36.161615017119296,36.650066006039694,36.650066006139696,37.1382022309223,37.138202231022305,37.62312786159947,37.62312786169947,38.101128681245285,38.10112868134529,38.57661138778879,38.57661138788879,39.052031141504735,39.052031141604736,39.52719908391045,39.527199084010455,39.99764556424934,39.99764556434934,40.46582574279615,40.46582574289615,40.92267441238257,40.92267441248257,41.37763449714225,41.377634497242255,41.829698751834286,41.82969875193429,42.2807557612854,42.2807557613854,42.721929176809944,42.721929176909946,43.162850781024254,43.162850781124256,43.601065413653586,43.60106541375359,44.03783213124909,44.03783213134909,44.46528183036605,44.465281830466054,44.88536604865876,44.88536604875876,45.30500959715856,45.30500959725856,45.721001881660015,45.72100188176002,46.132209751267084,46.132209751367085,46.54297695108124,46.542976951181245,46.953366433930064,46.953366434030066,47.36318934133086,47.36318934143086,47.77257157893875,47.772571579038754,48.18176495806397,48.181764958163974,48.590265856086056,48.59026585618606,48.99857789562547,48.998577895725475,49.390585152827434,49.390585152927436,49.7806408723751,49.780640872475104,50.16402359220166,50.16402359230166,50.54696564223531,50.54696564233531,50.92424193778876,50.92424193788876,51.301203469204424,51.301203469304426,52.05500062638063,52.055000626480634,52.43108081821049,52.43108081831049,52.80709805721279,52.80709805731279,53.18128966421591,53.18128966431591,53.55497764859857,53.554977648698575,53.92841382167101,53.92841382177101,54.30103160798519,54.30103160808519,54.671886715127755,54.67188671522776,55.03959418089243,55.03959418099243,55.403587429831205,55.40358742993121,55.76588095242592,55.76588095252592,56.12458616384984,56.12458616394984,56.479514205620305,56.47951420572031,56.83368681346007,56.83368681356007,57.187041034541586,57.18704103464159,57.53850667079637,57.538506670896375,57.88776895808664,57.88776895818664,58.234261320964364,58.234261321064366,58.57867624053268,58.57867624063268,58.92164324506717,58.921643245167175,59.26291052325761,59.26291052335761,59.602415122276426,59.60241512237643,59.94103838170943,59.941038381809435,60.27556970735119,60.27556970745119,60.60991217451027,60.60991217461027,60.94312149077332,60.943121490873324,61.275386514622994,61.275386514722996,61.60746267999,61.60746268009,61.939098175564105,61.93909817566411,62.26689354865719,62.26689354875719,62.59342986519911,62.593429865299115,62.91877007801744,62.91877007811744,63.24398438518065,63.243984385280655,63.56749896599981,63.56749896609981,63.88862133937177,63.88862133947177,64.20672197702096,64.20672197712096,64.52419308639458,64.52419308649458,64.84103466749261,64.84103466759261,65.15661719203949,65.15661719213949,65.46766711300221,65.46766711310221,65.7735549021052,65.7735549022052,66.07931678555308,66.07931678565308,66.38123854651994,66.38123854661994,66.68215306224587,66.68215306234588,66.98224919121355,66.98224919131356,67.28215646169855,67.28215646179855,67.5806787699773,67.5806787700773,67.87724954060174,67.87724954070174,68.16853227371134,68.16853227381134,68.45968910116582,68.45968910126582,68.74958687206916,68.74958687216916,69.03564452049146,69.03564452059146,69.32012834822483,69.32012834832483,69.60410855333772,69.60410855343773,69.88802580562307,69.88802580572307,70.17162829377062,70.17162829387063,70.45491601778039,70.4549160178804,70.73763716634214,70.73763716644214,71.01909925835274,71.01909925845274,71.30037249188067,71.30037249198067,71.58032371602987,71.58032371612987,71.85819749686966,71.85819749696967,72.13537879660633,72.13537879670633,72.41237123786033,72.41237123796033,72.68571241511599,72.68571241521599,73.2317652413517,73.2317652414517,73.50038495654051,73.50038495664052,73.7629612002838,73.7629612003838,74.0245931516137,74.0245931517137,74.28339222570351,74.28339222580351,74.54042862062171,74.54042862072171,74.79696139291944,74.79696139301944,75.05179443887312,75.05179443897312,75.30360574910402,75.30360574920402,75.55333961602553,75.55333961612553,75.80225509618877,75.80225509628877,76.0412240295979,76.0412240296979,76.27981524604168,76.27981524614168,76.51318137779818,76.51318137789818,76.7460438869342,76.7460438870342,77.21057280148267,77.21057280158267,77.44192444275731,77.44192444285731,77.6712615935501,77.6712615936501,77.90047283868779,77.90047283878779,78.12943227251523,78.12943227261523,78.35826580068758,78.35826580078758,78.58646980058433,78.58646980068433,78.8119668288961,78.8119668289961,79.03532346107092,79.03532346117092,79.2584282819355,79.2584282820355,79.48039995190403,79.48039995200403,79.70193095207968,79.70193095217968,80.14480409394828,80.14480409404828,80.36463536777987,80.36463536787987,80.58113014175088,80.58113014185088,80.79296640648263,80.79296640658264,81.00404723728369,81.00404723738369,81.21449853980917,81.21449853990917,81.42450917254173,81.42450917264173,81.63370141851607,81.63370141861607,81.83332483470161,81.83332483480162,82.03156328868089,82.03156328878089,82.22973878983261,82.22973878993261,82.6252714053778,82.6252714054778,82.82042517080676,82.82042517090676,83.01539007775304,83.01539007785304,83.20991431490641,83.20991431500642,83.40437559923222,83.40437559933223,83.59827030811002,83.59827030821002,83.7920391113327,83.7920391114327,83.98517838627981,83.98517838637981,84.17781403860646,84.17781403870646,84.36705023824497,84.36705023834497,84.55389423043631,84.55389423053632,84.73809420387022,84.73809420397022,84.92034263964983,84.92034263974983,85.09975819818935,85.09975819828935,85.27860718128085,85.27860718138085,85.45701549457945,85.45701549467945,85.63466837394735,85.63466837404735,85.80961428173028,85.80961428183028,85.98367884992739,85.98367885002739,86.15673617288357,86.15673617298357,86.32840853363349,86.3284085337335,86.49800345107401,86.49800345117401,86.66621340630824,86.66621340640825,86.8332272578189,86.8332272579189,86.99967453388153,86.99967453398153,87.16253349877337,87.16253349887337,87.32457407690696,87.32457407700696,87.48598512676496,87.48598512686496,87.64657778986472,87.64657778996472,87.80584844358577,87.80584844368578,87.96505614447926,87.96505614457926,88.28303087647333,88.28303087657333,88.44154609626369,88.4415460963637,88.59974655191625,88.59974655201626,88.75763224343103,88.75763224353103,88.91532907646314,88.91532907656314,89.07258523970233,89.07258523980234,89.22965254445886,89.22965254455886,89.3844535474233,89.38445354752331,89.69399260052465,89.69399260062465,89.84860474500643,89.84860474510643,90.00302803100553,90.00302803110553,90.15701064721172,90.15701064731172,90.3083492446605,90.3083492447605,90.61039691128246,90.61039691138247,90.76003578238718,90.76003578248718,90.90784902149272,90.90784902159272,91.0547179681849,91.0547179682849,91.20089443377394,91.20089443387394,91.34631546543228,91.34631546553229,91.49154763860797,91.49154763870797,91.63596142502539,91.63596142512539,91.77968273033967,91.77968273043967,91.92321517717129,91.92321517727129,92.06643285986512,92.06643285996512,92.20933577842115,92.20933577852115,92.4944491344301,92.4944491345301,92.63470803422871,92.63470803432871,92.77408559444152,92.77408559454152,92.91233000375829,92.91233000385829,93.05051146024749,93.0505114603475,93.18862996390915,93.18862996400915,93.32574122232987,93.32574122242987,93.46190818833723,93.46190818843723,93.59549408841472,93.59549408851473,93.72845046021665,93.72845046031665,93.86134387919101,93.86134387929101,93.99348186423467,93.99348186433467,94.12517917948544,94.12517917958544,94.25366590053075,94.25366590063075,94.37736820668168,94.37736820678168,94.50012622041925,94.50012622051925,94.62212880022612,94.62212880032612,94.74262051217161,94.74262051227161,94.8626715543242,94.8626715544242,94.98177830406341,94.98177830416341,95.10000371421683,95.10000371431683,95.21697006781908,95.21697006791908,95.33204783659461,95.33204783669461,95.44706265254257,95.44706265264257,95.56094431759449,95.56094431769449,95.67438531285352,95.67438531295352,95.78694496852674,95.78694496862674,95.89937871854484,95.89937871864484,96.01174951573537,96.01174951583538,96.12330192616767,96.12330192626767,96.23283984611811,96.23283984621811,96.34231481324099,96.34231481334099,96.45109729926075,96.45109729936075,96.5595650211427,96.5595650212427,96.66778093171443,96.66778093181443,96.77574503097594,96.77574503107594,96.8830166491343,96.8830166492343,96.99009940881,96.99009940891,97.09661559303767,97.09661559313767,97.20250224898976,97.20250224908976,97.30826299928674,97.30826299938674,97.41352012696326,97.41352012706326,97.51777000939886,97.51777000949886,97.62107559942109,97.62107559952109,97.7242552837882,97.7242552838882,97.82737201532775,97.82737201542776,97.92954445445395,97.92954445455395,98.03159098792501,98.03159098802502,98.13351161574097,98.13351161584097,98.23455090397113,98.23455090407113,98.33477180544303,98.33477180554303,98.43474089560469,98.43474089570469,98.5346470329388,98.53464703303881,98.63360887785956,98.63360887795956,98.72992670402287,98.72992670412287,98.82599271887597,98.82599271897597,98.92174396959126,98.92174396969126,99.01743226747901,99.01743226757901,99.11267989557385,99.11267989567385,99.20635370297974,99.20635370307974,99.29341746349208,99.29341746359208,99.37141601683611,99.37141601693611,99.41800110922883,99.41800110932883,99.45841682452088,99.45841682462088],[0.0,1e-10,1.9710977650930614,1.9710977651930615,3.846327703478991,3.846327703578991,5.121677429561946,5.121677429661946,6.228960245301096,6.228960245401096,7.275658612597296,7.275658612697296,8.282364965739966,8.282364965839966,9.282228101390114,9.282228101490114,10.123441598475155,10.123441598575155,10.897352993248443,10.897352993348443,11.652178717216907,11.652178717316907,12.403425877909466,12.403425878009466,13.143309530655731,13.143309530755731,13.874654856989311,13.874654857089311,14.592816002832715,14.592816002932715,15.28586442393293,15.28586442403293,15.976715481618113,15.976715481718113,16.657709794841594,16.657709794941592,17.32526880032747,17.32526880042747,17.9916977331999,17.991697733299898,18.644942485582156,18.644942485682154,19.297371074410258,19.297371074510256,19.94885793606049,19.94885793616049,20.59525947095023,20.595259471050227,21.239024169741928,21.239024169841926,21.866528379262416,21.866528379362414,22.48750328034967,22.48750328044967,23.10339285467643,23.103392854776427,23.710618538966788,23.710618539066786,24.31583520527769,24.315835205377688,24.919168417232854,24.919168417332852,25.518546375040966,25.518546375140964,26.11566418762219,26.11566418772219,26.70794780069035,26.707947800790347,27.298222395779053,27.29822239587905,27.883348882295405,27.883348882395403,28.46301335118011,28.463013351280107,29.036085729819728,29.036085729919726,29.607714126786615,29.607714126886613,30.172059833577972,30.17205983367797,30.733329231588293,30.73332923168829,31.269548686667278,31.269548686767276,31.786745252753295,31.786745252853294,32.301744455424284,32.301744455524286,32.81429516743282,32.81429516753282,33.32577858863976,33.32577858873976,33.83387179200637,33.83387179210637,34.338888686591936,34.33888868669194,34.84271272675221,34.84271272685221,35.33988189485553,35.33988189495553,35.81871877389633,35.81871877399633,36.293788744225644,36.293788744325646,36.76540571490277,36.76540571500277,37.233318558680274,37.233318558780276,37.695643821202424,37.695643821302426,38.15696457473484,38.156964574834845,38.61119098352731,38.61119098362731,39.05995537468813,39.05995537478813,39.50526676619677,39.50526676629677,39.949887557774964,39.949887557874966,40.38910911353337,40.389109113633374,40.82104797911626,40.82104797921626,41.25091504490783,41.25091504500783,41.68009151076897,41.68009151086897,42.10669392234392,42.106693922443924,42.53160122499871,42.53160122509871,42.95544123685192,42.95544123695192,43.37476095825135,43.37476095835135,43.793390079720346,43.79339007982035,44.20768725617114,44.20768725627114,44.61941037833576,44.61941037843576,45.02956395520392,45.02956395530392,45.43714347778591,45.43714347788591,45.84447187312047,45.84447187322047,46.24872395967399,46.24872395977399,46.64989973744646,46.64989973754646,47.04931762448692,47.04931762458692,47.44710318441906,47.447103184519065,47.84300528999547,47.84300529009547,48.236961159404274,48.236961159504276,48.62771515640833,48.62771515650833,49.01595788093806,49.01595788103806,49.39936640595473,49.39936640605473,49.782209894664675,49.78220989476468,50.15927745668369,50.15927745678369,50.532515328179365,50.532515328279366,50.90368139988373,50.90368139998373,51.27290123542049,51.27290123552049,51.64080265290824,51.640802653008244,52.00135859840861,52.00135859850861,52.361537853037824,52.361537853137825,52.71989643512316,52.71989643522316,53.07499036299188,53.074990363091885,53.42468505504081,53.42468505514081,53.774254183466034,53.774254183566036,54.12256767565409,54.12256767575409,54.469437186169415,54.46943718626942,54.8159300058136,54.8159300059136,55.16148109827991,55.16148109837991,55.50483482733118,55.50483482743118,55.84360548411683,55.84360548421683,56.18193666821947,56.18193666831947,56.519514470579814,56.519514470679816,56.85652723663344,56.85652723673344,57.19310053000405,57.193100530104054,57.52929713250352,57.529297132603524,57.86260577165753,57.86260577175753,58.18875728425972,58.188757284359724,58.510576851843716,58.51057685194372,58.83139191043798,58.83139191053798,59.14969569655793,59.14969569665793,59.466994973688145,59.46699497378815,59.78385477813536,59.78385477823536,60.09826609192011,60.09826609202011,60.41048004228983,60.41048004238983,60.71742032046348,60.717420320563484,61.023669998706694,61.023669998806696,61.329794113326194,61.329794113426196,61.629640046759896,61.6296400468599,61.92923485294616,61.92923485304616,62.22807627739014,62.22807627749014,62.52641544733925,62.52641544743925,62.8207993631413,62.8207993632413,63.114806588072206,63.11480658817221,63.4079348676371,63.407934867737104,63.70068645633086,63.70068645643086,63.98979669993684,63.98979670003684,64.2755167257025,64.2755167258025,64.56067171516143,64.56067171526144,64.84545001374921,64.84545001384922,65.12916102153542,65.12916102163543,65.41167917489632,65.41167917499632,65.69394620100978,65.69394620110978,65.97552262719282,65.97552262729282,66.2516370357442,66.2516370358442,66.52624468081099,66.52624468091099,66.80003616232364,66.80003616242364,67.07326260752954,67.07326260762954,67.33832741719392,67.33832741729393,67.602199372433,67.60219937253301,67.86067209185231,67.86067209195231,68.11908202945973,68.11908202955973,68.3773036216316,68.3773036217316,68.63521130474417,68.63521130484418,68.89186335161958,68.89186335171958,69.148075925812,69.148075925912,69.40416293638067,69.40416293648067,69.65723641998018,69.65723642008018,69.90635464943264,69.90635464953264,70.15446836989537,70.15446836999537,70.40170314499208,70.40170314509209,70.64812175653465,70.64812175663465,70.89384976814677,70.89384976824677,71.13945221613518,71.13945221623518,71.38348511882714,71.38348511892714,71.62701576702423,71.62701576712423,71.86834905180629,71.86834905190629,72.10892895484606,72.10892895494607,72.34599307642179,72.3459930765218,72.58274328893822,72.58274328903822,72.8194307196428,72.8194307197428,73.05605536853551,73.05605536863551,73.29148716300293,73.29148716310293,73.5241565577486,73.5241565578486,73.7551308435741,73.7551308436741,73.9857912203403,73.9857912204403,74.21450536093892,74.21450536103892,74.44208942892408,74.44208942902408,74.66848064248396,74.66848064258396,74.89455794698452,74.89455794708452,75.11894014256494,75.11894014266494,75.34319677452163,75.34319677462163,75.56695115198346,75.56695115208346,75.78976380226743,75.78976380236743,76.01088134363123,76.01088134373123,76.23111993962901,76.23111993972901,76.45117019019122,76.45117019029122,76.67002758632813,76.67002758642813,76.88750378260417,76.88750378270417,77.10472885163277,77.10472885173277,77.32170279341393,77.32170279351394,77.53861395338325,77.53861395348325,77.75439504073911,77.75439504083911,77.96898327366968,77.96898327376968,78.18068354325479,78.18068354335479,78.39018644942486,78.39018644952486,78.59736642855619,78.59736642865619,78.80297686239106,78.80297686249106,79.0075827872362,79.0075827873362,79.20861014880545,79.20861014890545,79.40900969225612,79.40900969235612,79.60526563612416,79.60526563622416,79.80139601636847,79.80139601646847,79.99683579668236,79.99683579678236,80.19120828619465,80.19120828629465,80.38363453953936,80.38363453963936,80.57511906570619,80.57511906580619,80.76572464650701,80.76572464660701,80.95601631824854,80.95601631834855,81.14561739005963,81.14561739015963,81.334653425564,81.334653425664,81.5223082612075,81.5223082613075,81.70983753322727,81.70983753332727,81.89667620531661,81.89667620541661,82.08320096834666,82.08320096844666,82.26890956782256,82.26890956792256,82.45235802207158,82.45235802217158,82.63511587639015,82.63511587649015,83.00044323959172,83.00044323969172,83.182887184851,83.182887184951,83.36476609380357,83.36476609390357,83.54651943913241,83.54651943923241,83.72544760292764,83.72544760302765,83.9018017124367,83.9018017125367,84.0776535674509,84.0776535675509,84.25325429521766,84.25325429531766,84.42734825949982,84.42734825959982,84.60056327841599,84.60056327851599,84.77346438827286,84.77346438837286,84.94510986189258,84.94510986199258,85.11669255370042,85.11669255380042,85.28814968188456,85.28814968198456,85.45910455557383,85.45910455567383,85.62980830201568,85.62980830211568,85.80044926664566,85.80044926674566,85.97090188584006,85.97090188594007,86.13991052336173,86.13991052346174,86.30785187008183,86.30785187018184,86.47516539868334,86.47516539878335,86.64229058184928,86.64229058194928,86.8085368196492,86.80853681974921,86.97126727598508,86.97126727608509,87.13230262340079,87.13230262350079,87.29258458907421,87.29258458917421,87.45198760938162,87.45198760948162,87.61076281157044,87.61076281167044,87.76840794114582,87.76840794124583,87.92448352542475,87.92448352552475,88.08005685520882,88.08005685530883,88.2345628941913,88.2345628942913,88.38837833324335,88.38837833334335,88.54194264504795,88.54194264514796,88.69506748416957,88.69506748426957,88.84762728698445,88.84762728708445,88.99780138094873,88.99780138104873,89.146657056864,89.146657056964,89.29538716915555,89.29538716925555,89.44399171782338,89.44399171792338,89.5921567938082,89.5921567939082,89.74025908798117,89.74025908808117,89.8881102549067,89.88811025500671,90.03545916733738,90.03545916743738,90.1815524435309,90.1815524436309,90.3272062470414,90.3272062471414,90.47279726874005,90.47279726884005,90.76366540307806,90.76366540317807,90.90417109801622,90.90417109811622,91.04455122933066,91.04455122943067,91.1837385062198,91.1837385063198,91.32204683774292,91.32204683784292,91.45972735114746,91.45972735124747,91.59552441019626,91.59552441029626,91.73056808750277,91.73056808760278,91.86391665588913,91.86391665598913,91.99651184253317,91.99651184263317,92.12898146555351,92.12898146565351,92.26113717951455,92.26113717961455,92.39184891180285,92.39184891190285,92.52055162611171,92.52055162621171,92.64912877679684,92.64912877689684,92.77726645479898,92.77726645489898,92.90446240562324,92.90446240572324,93.03109332014078,93.03109332024079,93.1575986710346,93.15759867113461,93.41023268195111,93.41023268205112,93.53611021472635,93.53611021482635,93.66142271119487,93.66142271129488,93.78635851679225,93.78635851689225,93.91116875876591,93.91116875886591,94.03572787349214,94.03572787359214,94.1593452610405,94.1593452611405,94.28252317590585,94.28252317600585,94.40438267272218,94.40438267282218,94.52617938772666,94.52617938782666,94.64709715736512,94.64709715746513,94.76763823613244,94.76763823623244,94.88786540584047,94.88786540594047,95.00740197561805,95.00740197571805,95.12649907271263,95.12649907281263,95.24521947893608,95.24521947903608,95.36375153972394,95.36375153982394,95.48190690964066,95.48190690974066,95.59968558868621,95.59968558878622,95.71702479504877,95.71702479514877,95.83417565597576,95.83417565607576,95.9509498260316,95.9509498261316,96.06678226890956,96.06678226900956,96.18167298460966,96.18167298470966,96.29624979125047,96.29624979135048,96.41076381607942,96.41076381617943,96.52483836822537,96.52483836832538,96.6383478840646,96.6383478841646,96.75166905446824,96.75166905456824,96.86373458863473,96.86373458873473,96.97498395924707,96.97498395934707,97.08598220261197,97.08598220271197,97.19616428242273,97.19616428252273,97.30527907143188,97.30527907153188,97.4143310786292,97.4143310787292,97.52306917676721,97.52306917686721,97.63168171128152,97.63168171138152,97.73998033673652,97.73998033683652,97.84708610776623,97.84708610786623,97.95331293342993,97.95331293352993,98.05866081372761,98.05866081382761,98.16363200315416,98.16363200325416,98.26854041076884,98.26854041086884,98.36949356423646,98.36949356433647,98.4701328086448,98.47013280874481,98.67128573383776,98.67128573393776,98.77060656019708,98.77060656029708,98.8687345321311,98.8687345322311,98.96648581319397,98.96648581329397,99.06373483976198,99.06373483986198,99.16085830270627,99.16085830280628,99.25735394753198,99.25735394763198,99.35228004706124,99.35228004716124,99.44689223753122,99.44689223763122,99.53798864653714,99.53798864663715,99.62161401993197,99.62161402003197,99.65017974432735,99.65017974442735],[0.0,1e-10,1.0963330074893487,1.0963330075893487,1.8136960797822306,1.8136960798822306,2.507515929648078,2.507515929748078,3.176273639510952,3.176273639610952,3.763986247286291,3.763986247386291,4.337920102765623,4.337920102865623,4.896122311922744,4.896122312022744,5.436097510168611,5.436097510268611,5.975530237851643,5.975530237951643,6.512250612720501,6.512250612820501,7.03595169408132,7.03595169418132,7.5547705403766265,7.5547705404766266,8.060244610826194,8.060244610926194,8.561704399110782,8.561704399210782,9.055027128952847,9.055027129052847,9.547481905894376,9.547481905994376,10.031474142055682,10.031474142155682,10.496696896742899,10.496696896842899,10.960726216191878,10.960726216291878,11.414340100834428,11.414340100934428,11.867736997251844,11.867736997351845,12.320699917218992,12.320699917318992,12.769214578570894,12.769214578670894,13.217620745810228,13.217620745910228,13.661253172096616,13.661253172196616,14.101305292668293,14.101305292768293,14.540055483889168,14.540055483989168,14.976418804633566,14.976418804733566,15.411371701914595,15.411371702014595,15.845673634520223,15.845673634620223,16.279758578900715,16.279758579000713,16.71275858215554,16.71275858225554,17.144890632509828,17.144890632609826,17.576263224076147,17.576263224176145,18.006442380404227,18.006442380504225,18.433583701580435,18.433583701680433,18.859748575743538,18.859748575843536,19.283635073542733,19.28363507364273,19.70719608900423,19.70719608910423,20.126417339963048,20.126417340063046,20.541190332306616,20.541190332406615,20.95401043062398,20.95401043072398,21.365203117252843,21.36520311735284,21.776287309769135,21.776287309869133,22.186829031722592,22.18682903182259,22.58945068345866,22.58945068355866,22.99077040584393,22.990770405943927,23.39002874009042,23.390028740190417,23.78896159199921,23.78896159209921,24.1872434792326,24.187243479332597,24.58303000187695,24.583030001976947,24.975236218806586,24.975236218906584,25.366682976948255,25.366682977048253,25.75433244115008,25.754332441250078,26.141656423014204,26.141656423114203,26.523230216912278,26.523230217012276,26.900355752195107,26.900355752295106,27.275419899339163,27.27541989943916,27.646578258430807,27.646578258530806,28.015458241158544,28.015458241258543,28.38249382397264,28.38249382407264,28.74670855986,28.74670855996,29.109946848734253,29.10994684883425,29.472968149383373,29.47296814948337,29.835880955919926,29.835880956019924,30.19868526834391,30.19868526844391,30.557366804490353,30.55736680459035,30.914420928948292,30.91442092904829,31.265073900764776,31.265073900864774,31.612906025654517,31.612906025754516,31.959870197643724,31.959870197743722,32.306725875520364,32.306725875620366,32.65303908283417,32.65303908293417,32.99750789023434,32.99750789033434,33.34089175650883,33.34089175660883,33.684167128670765,33.68416712877077,34.022234783429475,34.02223478352948,34.360193944075625,34.36019394417563,34.69717665770867,34.69717665780867,35.033833889004015,35.03383388910402,35.37027413207422,35.370274132174224,35.70595491635646,35.70595491645646,36.041418712413574,36.041418712513575,36.37644853202041,36.37644853212041,36.708332022362804,36.708332022462805,37.039781536254935,37.03978153635494,37.37101406192193,37.371014062021935,37.70094465823812,37.70094465833812,38.03076676044174,38.030766760541745,38.35700855693066,38.35700855703066,38.68205691818134,38.68205691828134,39.00612883241891,39.00612883251891,39.32998375843135,39.32998375853135,39.653730190331224,39.653730190431226,39.977151139893394,39.977151139993396,40.300138113005296,40.3001381131053,40.62193165087896,40.621931650978965,40.943182718189796,40.9431827182898,41.26269787969956,41.26269787979956,41.581128100083646,41.58112810018365,41.89890735579234,41.89890735589234,42.21505919981252,42.215059199912524,42.53012610270704,42.53012610280704,42.841721193999405,42.84172119409941,43.15201435594098,43.15201435604098,43.46068010619404,43.46068010629404,43.76576555073239,43.76576555083239,44.070308524707904,44.070308524807906,44.37430902812059,44.374309028220594,44.677550072745305,44.67755007284531,44.980574129144884,44.980574129244886,45.28327270320676,45.283272703306764,45.58575428904351,45.58575428914351,45.88769340431742,45.88769340441742,46.18952402547876,46.18952402557876,46.48842530560079,46.488425305700794,46.78721809161026,46.78721809171026,47.08221358367988,47.08221358377988,47.3749306993856,47.3749306994856,47.66732233275361,47.667322332853615,47.95960547200906,47.95960547210906,48.25167162303938,48.25167162313938,48.833634042848665,48.83363404294867,49.12190289993914,49.12190290003914,49.40995476880447,49.40995476890447,49.69778964944467,49.697789649544674,49.984973565409476,49.98497356550948,50.27194049314914,50.27194049324914,50.55586958573693,50.55586958583693,50.839256207761885,50.83925620786189,51.405378487136396,51.4053784872364,51.686920709247715,51.68692070934772,51.96813744902133,51.96813744912133,52.24750978888131,52.24750978898131,52.52633965817845,52.52633965827845,52.80441006868762,52.804410068787625,53.08161252629626,53.08161252639626,53.358597995679766,53.35859799577977,53.631352194673156,53.63135219477316,53.903780911328845,53.903780911428846,54.17588414564683,54.175884145746835,54.447444909401995,54.447444909501996,54.71629332034297,54.71629332044297,54.98427377838342,54.98427377848342,55.252037248198725,55.25203724829873,55.51839029455066,55.518390294650665,55.78441785856491,55.78441785866491,56.05001144612888,56.05001144622888,56.31517105724258,56.31517105734258,56.57837777433008,56.57837777443008,56.8411505149673,56.841150515067305,57.101861867465765,57.101861867565766,57.36246472585165,57.362464725951654,57.622850596012405,57.62285059611241,57.88269399561033,57.88269399571033,58.14090998351974,58.14090998361974,58.398908983204024,58.398908983304025,58.65549755942494,58.65549755952494,58.90948227694424,58.90948227704424,59.16303301801328,59.16303301811328,59.41636677085718,59.41636677095718,59.66937504136338,59.66937504146338,59.92010493550568,59.92010493560568,60.1704008531977,60.1704008532977,60.42058827677716,60.42058827687716,60.67055871213149,60.67055871223149,60.91955270047271,60.91955270057271,61.16822120647623,61.168221206576234,61.416455736029484,61.416455736129485,61.6644732773576,61.6644732774576,61.91173135989776,61.91173135999776,62.157687513087104,62.157687513187106,62.40299270160105,62.40299270170105,62.644283607950015,62.64428360805002,62.88427258494818,62.88427258504818,63.124153067833774,63.124153067933776,63.3639250566068,63.363925056706805,63.603263068929564,63.603263069029566,63.841624634239224,63.841624634339226,64.07944372898605,64.07944372908605,64.31715432962031,64.31715432972031,64.55421396557915,64.55421396567915,64.78975468396207,64.78975468406207,65.02453594355703,65.02453594365703,65.258557744364,65.258557744464,65.49149460404531,65.49149460414532,65.72410598138892,65.72410598148892,65.95595789994456,65.95595790004457,66.1874843361625,66.1874843362625,66.41770884302963,66.41770884312963,66.8768559274131,66.8768559275131,67.10567001081687,67.10567001091687,67.33350764720753,67.33350764730753,67.56123678948562,67.56123678958562,67.78766400241291,67.78766400251291,68.01387422711507,68.01387422721507,68.23943348714182,68.23943348724183,68.46477575894345,68.46477575904345,68.69000953663249,68.69000953673249,68.91470084375871,68.91470084385871,69.1388496803221,69.1388496804221,69.36191357575981,69.36191357585982,69.58476048297238,69.58476048307239,69.80728190784727,69.80728190794727,70.02969483860959,70.02969483870959,70.25189078114676,70.25189078124676,70.4738697354588,70.47386973555881,70.69541471332059,70.69541471342059,71.1379621984813,71.1379621985813,71.35885621166767,71.35885621176767,71.80010176747759,71.80010176757759,72.0199108395383,72.0199108396383,72.23852647636076,72.23852647646076,72.45692512495809,72.45692512505809,72.6751067853303,72.6751067854303,72.8926374810271,72.8926374811271,73.32726489597042,73.32726489607042,73.54425312110439,73.54425312120439,73.76091586390065,73.76091586400065,74.1934818907052,74.1934818908052,74.40884270415066,74.40884270425066,74.62333556469558,74.62333556479558,74.83771993112794,74.83771993122794,75.05058537998435,75.05058538008436,75.26334233472821,75.26334233482821,75.47555681890923,75.47555681900923,75.68766280897768,75.68766280907768,75.89890084614558,75.89890084624558,76.11003038920093,76.11003038930093,76.32105143814371,76.32105143824371,76.53163851063621,76.53163851073622,76.74179160667846,76.74179160677846,76.95161922038301,76.95161922048301,77.16122984586241,77.16122984596241,77.36845360086535,77.36845360096535,77.57524337941801,77.57524337951801,77.78192466385812,77.78192466395812,77.98828046596051,77.98828046606052,78.19420229161264,78.19420229171264,78.40001562315221,78.40001562325222,78.60561196646664,78.60561196656664,78.81066583921823,78.81066583931823,79.01496025318185,79.01496025328186,79.21882069069522,79.21882069079523,79.42192166942061,79.42192166952061,79.62491415403343,79.62491415413344,79.82747266219599,79.82747266229599,80.02938020568314,80.02938020578314,80.23063678449489,80.23063678459489,80.43156788096894,80.43156788106894,80.63206500099272,80.63206500109273,80.83245362690394,80.83245362700394,81.03240827636488,81.03240827646488,81.23182045526299,81.23182045536299,81.62988535427125,81.62988535437125,82.02708230037896,82.02708230047897,82.42395376414899,82.42395376424899,82.82028275735617,82.82028275745617,83.01785053634065,83.01785053644065,83.21498433887486,83.21498433897486,83.60903495571813,83.60903495581813,83.80551779357693,83.80551779367693,84.19696455171861,84.19696455181861,84.58678389817176,84.58678389827176,84.78142233611693,84.78142233621693,84.97595227994952,84.97595228004953,85.170265235557,85.170265235657,85.36446969705189,85.36446969715189,85.55856566443423,85.55856566453423,85.75233614947885,85.75233614957885,85.94599814041091,85.94599814051091,86.13955163723041,86.13955163733041,86.33299663993733,86.33299664003734,86.52622465441912,86.52622465451913,86.71880170422553,86.71880170432553,86.91116176580678,86.91116176590678,87.29577339485672,87.29577339495673,87.67995104745641,87.67995104755641,87.87166014436227,87.87166014446227,88.06228430014245,88.06228430024245,88.2526914676975,88.2526914677975,88.44277315291485,88.44277315301485,88.63242086168194,88.63242086178194,88.82000718231025,88.82000718241025,89.00737651471343,89.00737651481343,89.19387789421607,89.19387789431607,89.38016228549358,89.38016228559358,89.56568721798311,89.56568721808311,89.75066967990982,89.75066968000982,90.12030912142552,90.12030912152552,90.30485760690196,90.30485760700196,90.48886362181557,90.48886362191557,90.6724356602789,90.6724356603789,90.85589920462967,90.85589920472967,91.03914576075529,91.03914576085529,91.22228382276836,91.22228382286836,91.58823446445679,91.58823446455679,91.77083005590701,91.77083005600701,91.95255769445671,91.95255769455672,92.133634368331,92.133634368431,92.31438555986759,92.31438555996759,92.67512848415281,92.67512848425281,92.85479473456373,92.85479473466373,93.03413550263694,93.03413550273694,93.21315078837247,93.21315078847248,93.39205757999542,93.39205758009543,93.57074738339324,93.57074738349324,93.74878622211565,93.74878622221566,94.28279424417035,94.28279424427035,94.45942265942939,94.4594226595294,94.6358340864633,94.6358340865633,94.98670404650491,94.98670404660491,95.33497014784493,95.33497014794493,95.50834373972697,95.50834373982697,95.68150034338386,95.68150034348386,95.85378899414023,95.85378899424023,96.0257521625589,96.0257521626589,96.3694615111711,96.3694615112711,96.5406652208018,96.5406652209018,96.71143495398222,96.71143495408222,96.88198769893752,96.88198769903752,97.05243194978024,97.05243194988024,97.22255071828528,97.22255071838528,97.39245249856516,97.39245249866516,97.5622457847325,97.5622457848325,97.73193057678725,97.73193057688725,98.0708661844465,98.0708661845465,98.23968302360072,98.23968302370072,98.40817438041725,98.40817438051725,98.57547230199553,98.57547230209553,98.74244474123611,98.74244474133612,98.90854922757616,98.90854922767616,99.0730263022277,99.0730263023277,99.23728638865413,99.23728638875413,99.39991906339202,99.39991906349202,99.4854124240948,99.4854124241948,99.5035309408935,99.5035309409935,99.51155950522345,99.51155950532345],[0.0,1e-10,3.4194565638725436,3.4194565639725436,5.762941071891768,5.762941071991768,7.500327880319312,7.500327880419312,9.035915281554473,9.035915281654473,10.564158163637053,10.564158163737053,12.032304226304454,12.032304226404454,13.319052323869979,13.319052323969979,14.593093237504846,14.593093237604846,15.86223780503799,15.86223780513799,17.073850305875908,17.073850305975906,18.283830691346584,18.283830691446582,19.462392855997876,19.462392856097875,20.638798296771036,20.638798296871034,21.80599394368619,21.805993943786188,22.962464261045195,22.962464261145193,24.082969750490363,24.08296975059036,25.158067458825517,25.158067458925515,26.22092430190637,26.220924302006367,27.224442093421118,27.224442093521116,28.190013202647524,28.190013202747522,29.14748202487227,29.14748202497227,30.05645370475616,30.056453704856157,30.934123743489753,30.93412374358975,31.7775193595113,31.777519359611297,32.61018964597669,32.61018964607669,33.442102164593,33.442102164693004,34.26940978628032,34.26940978638032,35.095726480780385,35.09572648088039,35.92192659561136,35.92192659571136,36.72999857189905,36.729998571999054,37.51720278741989,37.51720278751989,38.28802755943377,38.288027559533774,39.02871648698825,39.02871648708825,39.75990417151201,39.759904171612014,40.477160585579675,40.47716058567968,41.19354265212918,41.19354265222918,41.905086662411506,41.90508666251151,42.615756325175674,42.615756325275676,43.322112540183554,43.322112540283555,44.02590400247149,44.025904002571494,44.72806334939218,44.72806334949218,45.42171238046941,45.42171238056941,46.113379557172124,46.113379557272125,46.791406912591476,46.79140691269148,47.45981644531102,47.45981644541102,48.118316706158026,48.11831670625803,48.76789862231976,48.767898622419764,49.41637303162515,49.41637303172515,50.061408340692424,50.061408340792426,50.69665095755626,50.69665095765626,51.331310676074644,51.331310676174645,51.963289062204,51.963289062304,52.59118715991524,52.591187160015245,53.2139557521866,53.2139557522866,53.835558547767064,53.835558547867066,54.441423088020564,54.441423088120565,55.025137491147234,55.025137491247236,55.56023817226395,55.56023817236395,56.094639375366135,56.09463937546614,56.62443568153932,56.62443568163932,57.1465960193872,57.1465960194872,57.66694937236421,57.66694937246421,58.18374704543401,58.18374704553401,58.69978695065474,58.69978695075474,59.21571027620638,59.21571027630638,59.72481369111634,59.72481369121634,60.22062702375019,60.22062702385019,60.71323441548411,60.71323441558411,61.205084039368955,61.20508403946896,61.69611760557018,61.69611760567018,62.18487786822417,62.18487786832417,62.669965871301876,62.66996587140188,63.15359662851597,63.15359662861597,63.62988286657748,63.629882866677484,64.1045952791063,64.10459527920631,64.57919111196603,64.57919111206603,65.05355378548758,65.05355378558758,65.52739185049823,65.52739185059824,65.99878174245802,65.99878174255802,66.4692389970651,66.4692389971651,66.9380058464704,66.9380058465704,67.39744632234861,67.39744632244862,67.85630389988138,67.85630389998138,68.3125967246942,68.3125967247942,68.7650424204271,68.7650424205271,69.21550626178548,69.21550626188548,70.10990548303329,70.10990548313329,70.55168413904457,70.55168413914457,70.98279575533425,70.98279575543425,71.41297473427122,71.41297473437122,71.84029751131551,71.84029751141551,72.26429776779078,72.26429776789078,72.68101179494802,72.68101179504802,73.09242144716173,73.09242144726173,73.49508762419377,73.49508762429377,73.89099218041869,73.8909921805187,74.28176723120372,74.28176723130372,74.6672379070452,74.6672379071452,75.04699617910134,75.04699617920134,75.42535549512843,75.42535549522843,75.79957623290287,75.79957623300287,76.15753410683944,76.15753410693944,76.51473421292694,76.51473421302694,76.87181773934535,76.87181773944535,77.22872639626013,77.22872639636013,77.57508459312238,77.57508459322239,77.91835342875379,77.91835342885379,78.26039817785977,78.26039817795977,78.59853750805128,78.59853750815128,78.9283996817375,78.9283996818375,79.25628000104922,79.25628000114922,79.58182872697915,79.58182872707916,79.90574533754186,79.90574533764186,80.22412441382285,80.22412441392285,80.54110453407478,80.54110453417478,81.17168396417507,81.17168396427508,81.48341799931801,81.48341799941801,81.79293702074827,81.79293702084827,82.09919181144404,82.09919181154405,82.39798550331815,82.39798550341816,82.69427273230684,82.69427273240684,82.98910271543194,82.98910271553194,83.27746252692262,83.27746252702262,83.56419022304605,83.56419022314606,83.84812000711136,83.84812000721136,84.12756147391676,84.12756147401676,84.40420502866402,84.40420502876403,84.68073200374221,84.68073200384221,84.954111327755,84.954111327855,85.2171150612189,85.2171150613189,85.47941931666827,85.47941931676827,85.7381096023759,85.7381096024759,85.99668330841443,85.99668330851443,86.25304200074028,86.25304200084028,86.50875950488614,86.50875950498614,86.75917263408847,86.75917263418847,87.00911944461446,87.00911944471446,87.25813361778772,87.25813361788772,87.5055739654283,87.5055739655283,87.75237312488889,87.75237312498889,87.99654924179498,87.99654924189498,88.23559585326117,88.23559585336118,88.47044559664018,88.47044559674018,88.70243913812651,88.70243913822651,88.93006094202201,88.93006094212201,89.15587576104666,89.15587576114666,89.37527869827142,89.37527869837142,89.5913008250926,89.5913008251926,89.79986185309212,89.79986185319213,90.00778169291166,90.00778169301167,90.21144637480947,90.21144637490947,90.41254630398731,90.41254630408731,90.61166437879066,90.61166437889067,90.80716848385225,90.80716848395225,91.00249771941023,91.00249771951023,91.19642799893913,91.19642799903913,91.38855129359715,91.38855129369715,91.5800334000752,91.5800334001752,91.7713406370496,91.7713406371496,91.96101575865677,91.96101575875677,92.15045772092576,92.15045772102576,92.33774295931661,92.33774295941662,92.5246784587002,92.5246784588002,92.71155566824923,92.71155566834923,92.89674247259649,92.89674247269649,93.0788399157129,93.0788399158129,93.25924695362752,93.25924695372753,93.43376671825317,93.43376671835317,93.60519712164798,93.60519712174798,93.77540343851734,93.77540343861735,93.94426908919219,93.94426908929219,94.11196894317615,94.11196894327615,94.27593824774928,94.27593824784928,94.43279619250801,94.43279619260801,94.5834171249705,94.5834171250705,94.72896684182761,94.72896684192762,94.87358392133204,94.87358392143204,95.01738494315283,95.01738494325284,95.1611276751391,95.1611276752391,95.30422921894537,95.30422921904537,95.44703931357891,95.44703931367891,95.58926650986702,95.58926650996702,95.73102738747876,95.73102738757876,95.87074812088146,95.87074812098146,96.00399868264974,96.00399868274974,96.13672463590711,96.13672463600712,96.26816821280453,96.26816821290453,96.39780480483107,96.39780480493107,96.5269167883467,96.5269167884467,96.65597048202778,96.65597048212778,96.78490759603979,96.78490759613979,96.91250404385727,96.91250404395727,97.03870153564569,97.03870153574569,97.16198453570689,97.1619845358069,97.28334397122813,97.28334397132814,97.40301300154759,97.4030130016476,97.52075846732708,97.52075846742709,97.63582260071755,97.63582260081755,97.74214325892636,97.74214325902636,97.84817246796246,97.84817246806246,97.954143387164,97.954143387264,98.05854048083285,98.05854048093285,98.16206322698353,98.16206322708354,98.26389556793244,98.26389556803244,98.36485356136316,98.36485356146316,98.46505378694482,98.46505378704482,98.56478769385014,98.56478769395014,98.6644633109209,98.6644633110209,98.76244852278987,98.76244852288987,98.8588016192916,98.8588016193916,98.9535226004261,98.9535226005261,99.04795213238788,99.04795213248788,99.14168218633512,99.14168218643512,99.23535395044782,99.23535395054782,99.32651925167511,99.32651925177511,99.41646046637696,99.41646046647696,99.50628510140974,99.50628510150975,99.59360327355711,99.59360327365711,99.62140752463475,99.62140752473475],[0.0,1e-10,1.2493505791959734,1.2493505792959734,2.159969622199944,2.159969622299944,2.9533354411374515,2.9533354412374515,3.7105561266398372,3.7105561267398373,4.418285783284902,4.418285783384902,5.125379921100337,5.125379921200337,5.826277750326895,5.826277750426895,6.500722108270166,6.500722108370166,7.172703830748626,7.172703830848626,7.826652706436376,7.826652706536376,8.477026788707466,8.477026788807466,9.086409906467516,9.086409906567516,9.691741591688684,9.691741591788684,10.294054562469118,10.294054562569118,10.888264668171788,10.888264668271788,11.48168037533742,11.48168037543742,12.066913777571587,12.066913777671587,12.616240365931741,12.616240366031741,13.159767844971537,13.159767845071537,13.698528932789117,13.698528932889117,14.23578066338633,14.23578066348633,14.76715384480948,14.76715384490948,15.297414868280779,15.297414868380779,15.82680205336134,15.82680205346134,16.341651745214147,16.341651745314145,16.854277121163253,16.85427712126325,17.355939797301268,17.355939797401266,17.838854667965244,17.838854668065242,18.299129180323703,18.2991291804237,18.756146658680315,18.756146658780313,19.20680894874064,19.20680894884064,19.645634700599135,19.645634700699134,20.083189414798372,20.08318941489837,20.516613256605027,20.516613256705025,20.947256703532055,20.947256703632053,21.377582391044267,21.377582391144266,21.806001522067596,21.806001522167595,22.227906585087233,22.22790658518723,22.6459985351291,22.645998535229097,23.055590420824682,23.05559042092468,23.460971994273976,23.460971994373974,23.864288131526976,23.864288131626974,24.261964039167026,24.261964039267024,24.654714675877454,24.654714675977452,25.04730643288047,25.04730643298047,25.43894491163905,25.43894491173905,25.830106751275405,25.830106751375403,26.218408756178434,26.218408756278432,26.606313561812943,26.60631356191294,26.992867889934494,26.992867890034493,27.371239913124576,27.371239913224574,27.748817537777622,27.74881753787762,28.126236282723262,28.12623628282326,28.50190735088742,28.50190735098742,28.876227941538623,28.87622794163862,29.25023077277501,29.250230772875007,29.62415416415769,29.62415416425769,29.993231724464458,29.993231724564456,30.35809897252493,30.35809897262493,30.72098022424282,30.720980224342817,31.081160520934784,31.081160521034782,31.44086417850453,31.440864178604528,31.798899599146498,31.798899599246496,32.15169198944403,32.151691989544034,32.49781143203047,32.49781143213047,32.840197201492835,32.84019720159284,33.18162969271076,33.18162969281076,33.52187058612313,33.52187058622313,33.86139652085217,33.86139652095217,34.19901589909232,34.199015899192325,34.536396957771366,34.53639695787137,34.87330137732818,34.873301377428184,35.209570278055374,35.209570278155375,35.54361486287887,35.54361486297887,35.87742112814125,35.87742112824125,36.21019467530549,36.21019467540549,36.87534457036544,36.875344570465444,37.207164839285234,37.207164839385236,37.53803182996058,37.53803183006058,37.86659506487853,37.86659506497853,38.19063022813537,38.19063022823537,38.511408357390366,38.51140835749037,38.83059768957129,38.83059768967129,39.14962814204481,39.14962814214481,39.46818195539611,39.468181955496114,39.78363761445297,39.78363761455297,40.098537194533904,40.098537194633906,40.413119015200024,40.413119015300026,40.72595315908466,40.72595315918466,41.03735738560264,41.03735738570264,41.34288306294655,41.34288306304655,41.648329300436764,41.648329300536766,41.952981139389934,41.952981139489935,42.25731521892829,42.25731521902829,42.55910722314814,42.55910722324814,42.86058146795317,42.86058146805317,43.16014915626931,43.160149156369314,43.45852524677991,43.45852524687991,43.756424698168274,43.756424698268276,44.05384751043442,44.053847510534425,44.35015816474873,44.35015816484873,44.64495946184265,44.644959461942655,44.93586820610511,44.935868206205114,45.225505912708314,45.225505912808316,45.51426978092077,45.51426978102077,45.80168317162027,45.80168317172027,46.08893768261236,46.08893768271236,46.37555667477483,46.37555667487483,46.661381268400255,46.66138126850026,47.232871575943705,47.232871576043706,47.517345692056175,47.51734569215618,47.799833811826055,47.79983381192606,48.08105089393668,48.08105089403668,48.35964646087508,48.35964646097508,48.6364149111783,48.6364149112783,48.91095904557782,48.91095904567782,49.18518542056253,49.185185420662535,49.457981878180576,49.45798187828058,49.72903065901714,49.72903065911714,49.998967281901855,49.99896728200186,50.26818894610324,50.26818894620324,50.805520116554156,50.80552011665416,51.0717230663148,51.071723066414805,51.336972737831005,51.336972737931006,51.60190464993239,51.601904650032395,51.86524776495972,51.86524776505972,52.12612824452223,52.12612824462223,52.386293765401405,52.38629376550141,52.646379846426875,52.64637984652688,52.90575096876901,52.905750968869015,53.16456601213523,53.164566012235234,53.42258665696441,53.422586657064414,53.68036898223248,53.68036898233248,53.93648307057278,53.93648307067278,54.192199959644554,54.192199959744556,54.447757969008926,54.44775796910893,54.70283933925107,54.70283933935107,54.95696743124878,54.95696743134878,55.20982448558723,55.20982448568723,55.462602100071976,55.46260210017198,55.714744195727086,55.71474419582709,55.96482085518591,55.964820855285915,56.2141031161077,56.2141031162077,56.46267041834616,56.46267041844616,56.71068164160869,56.71068164170869,56.95734238735826,56.95734238745826,57.2033676142782,57.2033676143782,57.44812180353889,57.44812180363889,57.692796552945865,57.692796553045866,57.936756343669515,57.93675634376952,58.17857125834317,58.17857125844317,58.42014785345571,58.42014785355571,58.660453410909,58.660453411009,59.13971404830261,59.13971404840261,59.378589688389226,59.37858968848923,59.616194290816594,59.616194290916596,59.85189233675507,59.85189233685507,60.08751094283985,60.08751094293985,60.32289122936351,60.322891229463515,60.5565238391057,60.5565238392057,60.789918129286775,60.78991812938678,61.02124698327155,61.021246983371555,61.25154311915819,61.251543119258194,61.48104485650779,61.481044856607795,61.70999051488147,61.70999051498147,61.938459534132924,61.938459534232926,62.16661079396956,62.16661079406956,62.39412653497657,62.39412653507657,62.620688997739144,62.620688997839146,62.84455050547579,62.84455050557579,63.068173693651325,63.068173693751326,63.29092304343612,63.290923043536125,63.513513513513516,63.51351351361352,63.73570678432239,63.73570678442239,63.95758229571644,63.957582295816444,64.17914004769568,64.17914004779568,64.40030060040641,64.40030060050641,64.62138171326343,64.62138171336343,64.84047682977787,64.84047682987787,65.05885698760898,65.05885698770898,65.27509226939007,65.27509226949007,65.48989763380452,65.48989763390452,65.70454411851155,65.70454411861155,65.91863452424266,65.91863452434266,66.13240717055895,66.13240717065895,66.34554429804562,66.34554429814563,66.55820478641006,66.55820478651006,66.7706269552134,66.7706269553134,66.9824136051871,66.9824136052871,67.19324697691637,67.19324697701637,67.403444829816,67.403444829916,67.61300716388601,67.61300716398601,67.8199479827838,67.8199479828838,68.02680936182787,68.02680936192787,68.23311466189604,68.23311466199604,68.43918164240308,68.43918164250309,68.6442953446657,68.6442953447657,68.8493296070746,68.8493296071746,69.05349003109276,69.05349003119277,69.25629997759796,69.25629997769796,69.45879216468835,69.45879216478835,69.66112547207133,69.66112547217134,69.86274382077097,69.86274382087097,70.06404441005581,70.06404441015582,70.26359732255916,70.26359732265917,70.46283247564772,70.46283247574772,70.66182930917515,70.66182930927515,70.86050838328777,70.86050838338777,71.25691325326855,71.25691325336855,71.4541624100145,71.4541624101145,71.65069660807713,71.65069660817713,71.84691304672494,71.84691304682494,72.04297060566533,72.04297060576533,72.43468852427762,72.43468852437762,72.63011056438839,72.63011056448839,72.82537372479175,72.82537372489175,73.02055744534141,73.02055744544141,73.21566172603737,73.21566172613737,73.41005104805,73.41005104815,73.6042814903552,73.60428149045521,73.79811473339191,73.79811473349191,73.9897236605249,73.9897236606249,74.17998211014495,74.17998211024495,74.36857232283721,74.36857232293721,74.55684477611466,74.55684477621466,74.74456115041619,74.74456115051619,74.93219808486401,74.93219808496401,75.11888174106738,75.11888174116739,75.30485043858744,75.30485043868744,75.49034249698526,75.49034249708527,75.67424575830901,75.67424575840901,75.85767238051055,75.85767238061055,76.04086068315097,76.04086068325097,76.22389010608399,76.22389010618399,76.40636345004107,76.40636345014107,76.58828071502224,76.58828071512224,76.76932414161266,76.76932414171266,76.94989092908087,76.94989092918087,77.12998107742685,77.12998107752685,77.30991234606542,77.30991234616542,77.48873145675215,77.48873145685215,77.66659728919443,77.66659728929443,77.84390704266079,77.84390704276079,78.19828823003239,78.19828823013239,78.37464470525431,78.37464470535431,78.54949182325586,78.54949182335586,78.72354454272038,78.72354454282038,78.89743838247747,78.89743838257748,79.24324006564909,79.24324006574909,79.4148301496488,79.4148301497488,79.5862613539411,79.5862613540411,79.75745423867228,79.75745423877228,79.92848824369605,79.92848824379605,80.09880729003649,80.09880729013649,80.26841137769361,80.26841137779361,80.60738123344672,80.60738123354672,80.77650868198161,80.77650868208161,80.94460341241836,80.94460341251836,81.1125392631477,81.1125392632477,81.28007791460851,81.28007791470851,81.44729880665452,81.44729880675452,81.61436081899312,81.61436081909312,81.781343391478,81.781343391578,81.94737268571846,81.94737268581846,82.11332254010522,82.11332254020522,82.445142809025,82.445142809125,82.77680419823739,82.77680419833739,82.94243629320933,82.94243629330933,83.10798894832756,83.10798894842756,83.27298552446986,83.27298552456986,83.43790266075845,83.43790266085846,83.60226371807114,83.60226371817114,83.7663864558227,83.7663864559227,83.92987367474464,83.92987367484464,84.25637147346629,84.25637147356629,84.41930261341231,84.41930261351231,84.58207487365091,84.58207487375091,84.90690443544479,84.90690443554479,85.06880285729265,85.06880285739265,85.23046295957941,85.23046295967941,85.39140810318284,85.39140810328284,85.5510027692733,85.5510027693733,85.70892919843598,85.70892919853598,85.86558458993942,85.86558459003942,86.02152502275952,86.02152502285952,86.17730657587221,86.17730657597221,86.33229373044787,86.33229373054787,86.48656592634019,86.48656592644019,86.64075868237882,86.64075868247882,86.79463367900262,86.79463367910262,86.94715819811346,86.94715819821346,87.0993649578095,87.0993649579095,87.2510156385296,87.2510156386296,87.55360204128648,87.55360204138648,87.70350504522511,87.70350504532512,87.85229589121188,87.85229589131188,88.00100729734496,88.00100729744496,88.14955982377063,88.14955982387063,88.29731795165927,88.29731795175927,88.44499663969418,88.44499663979418,88.59211924875319,88.5921192488532,88.73868577883627,88.73868577893627,89.17774985025588,89.17774985035588,89.46945299305537,89.46945299315537,89.61435128621068,89.61435128631068,89.75909069965857,89.75909069975857,89.90351235369165,89.90351235379165,90.04706016933399,90.04706016943399,90.19021078570782,90.19021078580782,90.33280532310572,90.33280532320572,90.47524098079622,90.47524098089622,90.6174383189256,90.6174383190256,90.75931789764016,90.75931789774016,90.90087971693991,90.90087971703991,91.04228265653227,91.04228265663227,91.1834472765635,91.1834472766635,91.32437357703363,91.32437357713363,91.46498211808893,91.46498211818893,91.60447850119239,91.60447850129239,91.74365712488104,91.74365712498104,91.88275630871598,91.88275630881598,92.16055747711735,92.16055747721735,92.29918002183007,92.29918002193007,92.43597544990762,92.43597545000762,92.57229423886292,92.57229423896293,92.70821582854973,92.70821582864973,92.8434224595532,92.8434224596532,92.97847021084927,92.97847021094927,93.1128824433157,93.1128824434157,93.2468180366599,93.2468180367599,93.3804358705893,93.3804358706893,93.51294154656685,93.51294154666685,93.64528834283699,93.645288342937,93.77739681954601,93.77739681964601,93.90926697669394,93.90926697679394,94.04081937442704,94.04081937452705,94.17229233230644,94.17229233240644,94.30368585033214,94.30368585043215,94.56583736755391,94.56583736765391,94.69635704718887,94.69635704728887,94.8266384072627,94.82663840736271,94.95612536879952,94.95612536889952,95.08545345062892,95.08545345072892,95.2139871339213,95.2139871340213,95.34220305779886,95.34220305789886,95.4703395418227,95.4703395419227,95.59823770628545,95.59823770638545,95.72573867147966,95.72573867157966,95.85292187725906,95.85292187735907,96.10704996925678,96.10704996935678,96.23383597576766,96.23383597586766,96.36046310257115,96.36046310267115,96.6133201569096,96.6133201570096,96.73939120473716,96.73939120483716,96.8649856134425,96.8649856135425,96.99026226273301,96.99026226283301,97.11538003231614,97.11538003241614,97.36545669177495,97.36545669187495,97.48993894252844,97.48993894262844,97.61362679474489,97.61362679484489,97.73707632740023,97.73707632750023,97.86020810064076,97.86020810074076,97.98326043402759,97.98326043412759,98.10591556814589,98.10591556824589,98.22825294284938,98.22825294294938,98.35035199799177,98.35035199809177,98.47221273357303,98.47221273367303,98.59383514959319,98.59383514969319,98.71490148663742,98.71490148673742,98.83557062441314,98.83557062451314,99.07627338113494,99.07627338123494,99.3161817393197,99.3161817394197,99.43335552353247,99.43335552363247,99.55029098818412,99.55029098828412],[0.0,1e-10,3.840177593481672,3.840177593581672,7.3613225226154935,7.3613225227154935,10.803251658782223,10.803251658882223,14.150485379966085,14.150485380066085,17.430699374013468,17.430699374113466,20.50973691678765,20.509736916887647,23.56790042381329,23.567900423913287,26.615802817760287,26.615802817860285,29.540982299286764,29.540982299386762,32.44681225329352,32.446812253393524,35.16917350545422,35.16917350555422,37.56013012264082,37.56013012274082,39.93765934042738,39.93765934052738,42.23280647892543,42.232806479025434,44.42504931197771,44.42504931207771,46.5901441715705,46.5901441716705,48.70111898903996,48.701118989139964,50.664451048040775,50.664451048140776,52.54446286884304,52.54446286894304,54.35680997825817,54.35680997835817,56.00263388113996,56.00263388123996,57.61093142761987,57.61093142771987,59.2002898911032,59.200289891203205,60.72802304118283,60.72802304128283,62.25088949191659,62.25088949201659,63.69571284832081,63.69571284842081,65.08993425851438,65.08993425861438,66.46791379257776,66.46791379267776,67.81851081345414,67.81851081355414,69.13187465258802,69.13187465268803,70.41169931068774,70.41169931078774,71.68407733243896,71.68407733253896,72.93171141293767,72.93171141303768,74.15061437681622,74.15061437691622,75.35767308445541,75.35767308455542,76.53910832686394,76.53910832696394,77.69110883346976,77.69110883356976,78.81080149261082,78.81080149271082,81.0104909620116,81.0104909621116,81.99438511892338,81.99438511902338,82.79574873289913,82.79574873299913,83.59236291739276,83.59236291749276,84.37502198809945,84.37502198819945,85.14495727858863,85.14495727868864,85.9032242176341,85.9032242177341,86.62830378523667,86.62830378533667,87.27704067153415,87.27704067163415,87.91592688927614,87.91592688937614,88.50638065328695,88.50638065338696,89.08768736792481,89.08768736802482,89.64489512556084,89.64489512566084,90.19952294619424,90.19952294629424,90.73603257287736,90.73603257297736,91.25553806931588,91.25553806941588,91.75370045055082,91.75370045065083,92.21556780895332,92.21556780905333,92.63820839792949,92.63820839802949,93.02496440859635,93.02496440869635,93.41160314939945,93.41160314949946,93.7912643333091,93.7912643334091,94.15890535618375,94.15890535628375,94.5066691371518,94.5066691372518,94.84129869337917,94.84129869347917,95.17276196328515,95.17276196338516,95.48575522964957,95.48575522974957,95.79505449530569,95.7950544954057,96.09385810815564,96.09385810825565,96.38914362509294,96.38914362519294,96.66525551930614,96.66525551940614,96.9345657614215,96.9345657615215,97.17743164925992,97.17743164935992,97.39185959513752,97.39185959523752,97.60593573142387,97.60593573152387,97.81801828002637,97.81801828012637,98.01679069909257,98.01679069919257,98.2098755297666,98.20987552986661,98.39979407411924,98.39979407421924,98.581972807464,98.581972807564,98.76198204832926,98.76198204842926,98.9207654438547,98.9207654439547,99.07532712428495,99.07532712438496,99.20496895866707,99.20496895876707,99.32751596629195,99.32751596639196,99.44507900470721,99.44507900480721,99.56076572530237,99.56076572540238,99.66689495200144,99.66689495210144,99.77261373417737,99.77261373427737,99.86431876763446,99.86431876773446],[0.0,1e-10,10.835001626420473,10.835001626520473,20.59431784222928,20.59431784232928,29.548027006513614,29.548027006613612,36.639550843490746,36.63955084359075,43.623902827327036,43.62390282742704,49.69408749877688,49.69408749887688,55.718256371469145,55.71825637156915,61.27003604570903,61.27003604580903,66.53487812424794,66.53487812434794,70.69818396270075,70.69818396280075,74.72899603576538,74.72899603586538,78.70632135423966,78.70632135433966,82.53607876635346,82.53607876645346,85.58317091166818,85.58317091176818,87.21845074855011,87.21845074865011,88.84771415197379,88.84771415207379,90.44464748989107,90.44464748999107,92.04006019078044,92.04006019088044,93.52135899992331,93.52135900002331,94.9389232832008,94.9389232833008,95.99768334254532,95.99768334264532,96.96487460694838,96.96487460704839,97.86416612232269,97.86416612242269,98.57509699019651,98.57509699029652,99.0433209654855,99.04332096558551,99.41521589078917,99.41521589088917,99.6543525920911,99.6543525921911,99.8300853407946,99.8300853408946,99.96390139925053,99.96390139935053],[0.0,1e-10,8.246075653699766,8.246075653799766,16.117057925864785,16.117057925964783,22.87053822011167,22.870538220211667,29.559471340067834,29.559471340167832,35.80609378727643,35.80609378737643,41.96111961485305,41.96111961495305,47.17144646618732,47.17144646628732,52.18488121752688,52.18488121762688,57.029227912473566,57.02922791257357,61.22131148016771,61.22131148026771,64.72328591553956,64.72328591563956,67.96393716866606,67.96393716876607,71.17823552869186,71.17823552879186,74.28404587725241,74.28404587735241,77.1357887960733,77.1357887961733,79.82587354906717,79.82587354916717,81.9363687919056,81.9363687920056,83.49879351347336,83.49879351357336,85.0468228220698,85.0468228221698,86.48711871746158,86.48711871756159,87.87290940003054,87.87290940013054,89.17935117319713,89.17935117329714,90.45688602838102,90.45688602848102,91.71143465962685,91.71143465972685,92.91182635417012,92.91182635427012,94.09759045166189,94.09759045176189,95.16737860110253,95.16737860120253,96.0264596977776,96.0264596978776,96.82598557788586,96.82598557798586,97.50471769027921,97.50471769037921,98.1511762155272,98.1511762156272,98.5990012601791,98.5990012602791,98.95406876479811,98.95406876489811,99.28266728427631,99.28266728437632,99.5223973470647,99.5223973471647,99.65172387972632,99.65172387982632,99.77791592730549,99.77791592740549,99.8961556701384,99.8961556702384],[0.0,1e-10,9.505257724185531,9.505257724285531,18.007226833243433,18.00722683334343,25.862144965866843,25.86214496596684,33.24807294113553,33.248072941235534,39.37522112601718,39.37522112611718,45.19612790218835,45.19612790228835,50.872614014024464,50.872614014124466,56.06491389860393,56.064913898703935,60.448748064241094,60.448748064341096,64.76698392812607,64.76698392822607,68.3030861941965,68.3030861942965,71.6920417833922,71.6920417834922,74.85056231258663,74.85056231268663,77.71159947335758,77.71159947345758,79.81248513743164,79.81248513753164,81.77434416198315,81.77434416208315,83.71915110809509,83.71915110819509,85.45457709105462,85.45457709115462,87.0089262410607,87.00892624116071,88.44367884092267,88.44367884102267,89.87495142477655,89.87495142487656,91.30413599902559,91.30413599912559,92.59777394976017,92.59777394986017,93.85846774895164,93.85846774905164,95.0756033477754,95.0756033478754,95.92408925081055,95.92408925091055,96.71300887984084,96.71300887994084,97.42275814468746,97.42275814478747,98.0434769999942,98.0434770000942,98.59511753754067,98.59511753764068,99.14049404627261,99.14049404637261,99.52236780289189,99.5223678029919,99.8486193036488,99.8486193037488,99.9485537633473,99.94855376344731],[0.0,1e-10,1.1005088838756707,1.1005088839756707,2.053154700007255,2.053154700107255,2.850509747561814,2.850509747661814,3.578251691961155,3.578251692061155,4.294506610653741,4.294506610753741,5.008775051216588,5.008775051316588,5.709656356557278,5.709656356657278,6.4064783370241525,6.4064783371241525,7.0908632370265705,7.0908632371265705,7.762206476264177,7.762206476364177,8.419989843050955,8.419989843150955,9.076650417851356,9.076650417951356,9.733051886808749,9.733051886908749,10.371834158441496,10.371834158541496,11.008975426401848,11.008975426501848,11.637998044614571,11.637998044714571,12.256829166335587,12.256829166435587,12.875142076370583,12.875142076470583,13.460807650186384,13.460807650286384,14.043018479428724,14.043018479528724,14.622206407169285,14.622206407269285,15.192671104861862,15.192671104961862,16.33152765350294,16.331527653602937,16.89862397523639,16.89862397533639,17.457860753065223,17.45786075316522,18.0129518374059,18.0129518375059,18.565192757473476,18.565192757573474,19.113374352667236,19.113374352767234,19.655164670400094,19.655164670500092,20.19583219614658,20.195832196246577,20.725185433414982,20.72518543351498,21.25039297719523,21.250392977295228,21.772059407787687,21.772059407887685,22.290443831035354,22.290443831135352,22.802005133750438,22.802005133850436,23.295774501912202,23.2957745020122,23.786175494114843,23.78617549421484,24.275108219873765,24.275108219973763,24.762831785031974,24.762831785131972,25.24502775887265,25.245027758972647,25.72705099548465,25.727050995584648,26.201560162649375,26.201560162749374,26.672528216626304,26.672528216726302,27.1344275660979,27.1344275661979,27.59572233526914,27.59572233536914,28.0501939839078,28.050193984007798,28.503974683631764,28.503974683731762,28.956200748297675,28.956200748397674,29.402812853031712,29.40281285313171,29.84864764023672,29.84864764033672,30.292236843468977,30.292236843568976,30.73055756122671,30.73055756132671,31.161536946765843,31.16153694686584,31.589147956345847,31.589147956445846,32.00708568112017,32.00708568122017,32.42467793143714,32.42467793153714,32.83622437875056,32.83622437885056,33.246820771306275,33.24682077140628,33.64998946302905,33.64998946312905,34.05203536276545,34.05203536286545,34.45287210190114,34.452872102001145,34.85215420597878,34.85215420607878,35.249017988854995,35.249017988954996,35.63940412565597,35.63940412575597,36.02296714192436,36.02296714202436,36.40437094283434,36.40437094293434,36.77739698815368,36.777396988253685,37.150336664858685,37.15033666495869,37.52318997294935,37.523189973049355,37.89241579923788,37.89241579933788,38.260691570768714,38.260691570868715,38.624562542968384,38.624562543068386,38.98774256625337,38.98774256635337,39.34945432309462,39.34945432319462,39.705379382775334,39.705379382875336,40.05957707016932,40.05957707026932,40.76011290105266,40.76011290115266,41.10299629996856,41.10299630006856,41.44207947985366,41.44207947995366,41.7805580794384,41.7805580795384,42.11635925197871,42.11635925207871,42.4509512639183,42.4509512640183,42.785456907243564,42.785456907343566,43.118839758582446,43.11883975868245,43.450927080706286,43.45092708080629,43.78240982252977,43.78240982262977,44.11199245483785,44.111992454937855,44.44010682070221,44.440106820802214,44.76787571210922,44.767875712209225,45.09296717647181,45.09296717657181,45.417540429148374,45.417540429248376,45.74168183875325,45.74168183885325,46.06383677022839,46.06383677032839,46.38564622724619,46.38564622734619,46.70546920613425,46.70546920623425,47.02261475797787,47.02261475807787,47.339501203978486,47.33950120407849,47.65569670106441,47.65569670116441,47.97042393170661,47.970423931806614,48.284546582048456,48.28454658214846,48.59694186010357,48.59694186020357,49.220091412541414,49.220091412641416,49.52877284018006,49.52877284028006,49.833654048787906,49.83365404888791,50.13836252016707,50.13836252026707,50.44289825431757,50.44289825441757,50.74484293003797,50.74484293013797,51.043678335642255,51.04367833574226,51.34009542004512,51.34009542014512,51.93232500855049,51.932325008650494,52.22684198343796,52.22684198353796,52.518854268509656,52.51885426860966,52.810434710509675,52.81043471060968,53.09985593715129,53.09985593725129,53.38884532072121,53.38884532082121,53.96665135063239,53.96665135073239,54.25451794221594,54.25451794231594,54.53875705199736,54.53875705209736,54.82273705593577,54.82273705603577,55.10283047222904,55.10283047232904,55.3819738337646,55.3819738338646,55.65999440331379,55.65999440341379,55.93792860424865,55.93792860434865,56.214394538739775,56.21439453883978,56.487664834500464,56.487664834600466,56.76024418134645,56.76024418144645,57.03118252452005,57.03118252462005,57.2972842252908,57.297284225390804,57.826637462559205,57.82663746265921,58.08798888954145,58.08798888964145,58.348217524537326,58.34821752463733,58.60827342230452,58.60827342240452,58.86720652808535,58.86720652818535,59.12320310097873,59.12320310107873,59.3779905132714,59.3779905133714,59.630014129905305,59.63001413000531,59.88100132316717,59.88100132326717,60.13164304197169,60.131643042071694,60.381680180475854,60.381680180575856,60.63154458175135,60.63154458185135,60.88080440272648,60.880804402826485,61.128682325872234,61.128682325972235,61.376214774560644,61.376214774660646,61.62296990572002,61.62296990582002,61.869379562422054,61.869379562522056,62.11570285050975,62.11570285060975,62.35943508016735,62.35943508026735,62.603080941210614,62.603080941310616,62.846640433639536,62.84664043373954,63.0857951267373,63.085795126837304,63.324863451220736,63.32486345132074,63.80274099434458,63.802740994444584,64.04094563268465,64.04094563278466,64.2788911651817,64.2788911652817,64.51251826696193,64.51251826706194,64.74493620814145,64.74493620824146,64.97484945950521,64.97484945960521,65.20441723641163,65.20441723651163,65.43346680163202,65.43346680173202,65.66217089239507,65.66217089249507,65.89078861454378,65.89078861464378,66.11793807024877,66.11793807034877,66.3442238398104,66.3442238399104,66.57007776630034,66.57007776640035,66.79549984971861,66.79549984981861,67.0207491959082,67.0207491960082,67.24582580486911,67.24582580496912,67.470125096301,67.470125096401,67.69209243514581,67.69209243524581,67.91362793091892,67.91362793101892,68.1348179522347,68.1348179523347,68.3555761304788,68.3555761305788,68.79674701250963,68.79674701260963,69.01690061045336,69.01690061055336,69.23662236532542,69.23662236542542,69.4552213282111,69.4552213283111,69.67295660495341,69.67295660505341,69.89043277585272,69.89043277595272,70.10773620952335,70.10773620962335,70.32426232566495,70.32426232576495,70.54027023012054,70.54027023022054,70.75550081704709,70.7555008171471,70.96952224337294,70.96952224347294,71.18181629741206,71.18181629751206,71.3939376142225,71.3939376143225,71.60519524488957,71.60519524498957,71.81533008357027,71.81533008367028,72.02468760472195,72.02468760482195,72.23369965141627,72.23369965151628,72.44193438058157,72.44193438068157,72.64991000390386,72.64991000400386,72.85736741554012,72.85736741564013,73.06275198043232,73.06275198053233,73.26770470225284,73.26770470235284,73.47248468684468,73.47248468694468,73.6770055655935,73.6770055656935,73.881180969885,73.881180969985,74.28944540985363,74.28944540995363,74.49344807691644,74.49344807701644,74.69606884614986,74.69606884624986,74.89704861171089,74.89704861181089,75.0960418991422,75.0960418992422,75.29443060627312,75.29443060637313,75.49264657617539,75.49264657627539,75.69077617746332,75.69077617756332,75.88812846122222,75.88812846132222,76.08539437636678,76.08539437646678,76.2813647622963,76.28136476239631,76.47655783069679,76.47655783079679,76.67114631879691,76.67114631889692,76.86564843828272,76.86564843838272,77.05868229132479,77.05868229142479,77.25137066990952,77.25137067000952,77.44336809957956,77.44336809967956,77.63510642340658,77.63510642350658,77.82641290416193,77.82641290426193,78.0175466476886,78.0175466477886,78.20859402260093,78.20859402270094,78.39955502889894,78.39955502899895,78.59008419212526,78.59008419222526,78.7804406181229,78.7804406182229,78.97036520104886,78.97036520114887,79.15985794090314,79.15985794100314,79.34874610045706,79.34874610055707,79.53642509941028,79.53642509951028,79.72384499252048,79.72384499262049,79.91074667394466,79.91074667404466,80.09738924952583,80.09738924962583,80.2821317155916,80.2821317156916,80.46678781304304,80.46678781314304,80.65092569880846,80.65092569890847,80.83445900427351,80.83445900437351,81.01617856883752,81.01617856893752,81.19677534141513,81.19677534151513,81.37650842784939,81.37650842794939,81.5558960398263,81.5558960399263,81.73511091457453,81.73511091467454,81.91423942070843,81.91423942080843,82.09233150347029,82.09233150357029,82.27007811177481,82.27007811187481,82.44739287700764,82.44739287710765,82.62410306194012,82.62410306204012,82.80046777241525,82.80046777251525,82.97562332228966,82.97562332238967,83.14922423710603,83.14922423720603,83.32222057162204,83.32222057172204,83.49495780029504,83.49495780039504,83.66700408005335,83.66700408015335,84.0102329534266,84.0102329535266,84.18132917842719,84.18132917852719,84.35182082312744,84.35182082322744,84.52213973059902,84.52213973069902,84.6908176343982,84.6908176344982,84.85863185205402,84.85863185215402,85.02610059525249,85.02610059535249,85.19313749537928,85.19313749547928,85.35982892104872,85.35982892114872,85.52626124087516,85.52626124097516,85.69148440010088,85.69148440020088,85.85662119071226,85.85662119081226,86.02123976963763,86.02123976973763,86.18577197994867,86.18577198004867,86.34900866104465,86.34900866114465,86.51207260491195,86.51207260501195,86.67479107432192,86.67479107442192,86.83664585758852,86.83664585768852,86.99824153501211,86.99824153511211,87.15845531460631,87.15845531470632,87.63883754754592,87.63883754764592,87.7985331154541,87.79853311555411,87.95719225999025,87.95719226009025,88.11446950669702,88.11446950679702,88.27157401617511,88.27157401627511,88.4284194198102,88.4284194199102,88.58517845483094,88.58517845493094,88.74081469786532,88.74081469796532,89.05200081531972,89.05200081541972,89.20729158389675,89.20729158399675,89.36232324663077,89.36232324673077,89.51692306629309,89.51692306639309,89.67083193704073,89.67083193714073,89.82404985887368,89.82404985897368,89.97692230624929,89.9769223063493,90.12970838501056,90.12970838511056,90.28206262070015,90.28206262080015,90.43424411916105,90.43424411926105,90.58633924900762,90.58633924910762,90.73800253578251,90.73800253588252,90.88949308532874,90.88949308542874,91.04089726626061,91.04089726636062,91.19083318074878,91.19083318084878,91.34050998939394,91.34050998949394,91.48940948051006,91.48940948061006,91.6381362343975,91.63813623449751,91.78677661967062,91.78677661977062,91.9353306363294,91.9353306364294,92.08353917853084,92.08353917863084,92.23166135211792,92.23166135221793,92.37943805124767,92.37943805134768,92.52635106423406,92.52635106433407,92.67257312830576,92.67257312840576,92.81853608653444,92.81853608663444,92.96354899000542,92.96354899010542,93.10778457594738,93.10778457604738,93.251933793275,93.251933793375,93.53893669871518,93.53893669881518,93.68058122622703,93.68058122632704,93.82205301651022,93.82205301661023,93.9632657009504,93.9632657010504,94.10378743647588,94.10378743657589,94.24422280338703,94.24422280348703,94.52492079998065,94.52492080008065,94.6650970610488,94.6650970611488,94.80510058488825,94.80510058498825,94.94501774011339,94.94501774021339,95.22442020749196,95.22442020759196,95.36356004518805,95.36356004528805,95.50235440842681,95.50235440852681,95.64080329720822,95.64080329730822,95.77916581737529,95.77916581747529,95.91726923169935,95.91726923179935,96.05399074819404,96.05399074829404,96.19010768438835,96.19010768448835,96.32570640889666,96.32570640899667,96.46113239617628,96.46113239627628,96.59629927761291,96.59629927771292,96.7313797904352,96.7313797905352,97.00102260439374,97.00102260449374,97.13472121938665,97.13472121948665,97.2673834110075,97.2673834111075,97.39970012817102,97.39970012827102,97.53184410810587,97.53184410820587,97.66381535081204,97.66381535091205,97.79526838183219,97.79526838193219,97.92628956978066,97.92628956988067,98.18815920844892,98.18815920854892,98.31805760441102,98.31805760451103,98.44735142007276,98.44735142017277,98.57578154959113,98.57578154969113,98.70308888712313,98.70308888722313,98.82918706405442,98.82918706415443,98.95373060592765,98.95373060602765,99.07162376449698,99.07162376459698,99.18312564560539,99.18312564570539,99.24384278148395,99.24384278158395],[0.0,1e-10,1.1988110665690033,1.1988110666690033,2.26413493128435,2.26413493138435,3.153609058487428,3.153609058587428,4.019641191409796,4.019641191509796,4.862509573307012,4.862509573407012,5.69974352927919,5.69974352937919,6.530717012001327,6.530717012101327,7.339500595092763,7.339500595192763,8.144040968536949,8.144040968636949,8.937868976642175,8.937868976742175,9.699281645474965,9.699281645574965,10.455755496521611,10.455755496621611,11.185031069337525,11.185031069437525,11.865544511617003,11.865544511717003,12.53993660227422,12.53993660237422,13.205911834450827,13.205911834550827,13.869730681396865,13.869730681496865,14.527706419976196,14.527706420076196,15.16293577241371,15.16293577251371,15.77861853614832,15.77861853624832,16.381571670941177,16.381571671041176,17.584347703901873,17.58434770400187,18.17359735835853,18.17359735845853,18.7595080937485,18.7595080938485,19.324272341716107,19.324272341816105,19.885836792244802,19.8858367923448,20.439679992431785,20.439679992531783,20.99275802366598,20.99275802376598,21.538671291069573,21.53867129116957,22.079506619059245,22.079506619159243,22.614498838682213,22.61449883878221,23.122501462516112,23.12250146261611,23.62111337647495,23.621113376574947,24.11951660799212,24.11951660809212,24.614580920442602,24.6145809205426,25.108114894987516,25.108114895087514,25.600327214068535,25.600327214168534,26.088087641060635,26.088087641160634,26.572856953055492,26.57285695315549,27.052270082380872,27.05227008248087,27.520831724739512,27.52083172483951,27.98751522512314,27.987515225223138,28.43903446807889,28.43903446817889,28.87177229128452,28.871772291384517,29.303397141467915,29.303397141567913,29.730778782004062,29.73077878210406,30.15809086172632,30.158090861826317,30.577194765409633,30.57719476550963,30.995950865023502,30.9959508651235,31.413176626731804,31.413176626831802,31.829706780301212,31.82970678040121,32.24136767689836,32.241367676998365,32.65128955314829,32.65128955324829,33.05495095614817,33.05495095624817,33.45443871031468,33.454438710414685,33.849613694020064,33.849613694120066,34.24457999528378,34.24457999538378,34.63892024922249,34.63892024932249,35.031869286883406,35.03186928698341,35.8115068889552,35.8115068890552,36.18713528395767,36.187135284057675,36.56192894919348,36.56192894929348,36.93324457373481,36.93324457383481,37.301151718395566,37.30115171849557,37.66718072108131,37.66718072118131,38.02847958842258,38.02847958852258,38.38887416518328,38.38887416528328,38.748920937874544,38.748920937974546,39.10326372382688,39.10326372392688,39.45524144210697,39.45524144220697,39.803741119692596,39.8037411197926,40.15168431076711,40.15168431086711,40.49851452881939,40.498514528919394,40.844231773849444,40.844231773949446,41.18514932272114,41.18514932282114,41.520780249737236,41.52078024983724,41.8533505009422,41.8533505010422,42.18341656284715,42.18341656294715,42.50986546242986,42.50986546252986,42.83610567957089,42.836105679670894,43.159424342528574,43.159424342628576,43.48016925537235,43.480169255472354,43.79945339112446,43.79945339122446,44.11859840524878,44.118598405348784,44.43642176390921,44.43642176400921,44.75111488594461,44.75111488604461,45.064973278213344,45.064973278313346,45.37841430559874,45.37841430569874,45.68858597473134,45.68858597483134,45.998201157352824,45.998201157452826,46.30628600206874,46.30628600216874,46.61270138725131,46.612701387351315,46.91369102895052,46.91369102905052,47.213011211116374,47.213011211216376,47.512122710840565,47.51212271094057,47.81026035917031,47.81026035927031,48.10693723040837,48.10693723050837,48.40354454083255,48.40354454093255,48.698551952537265,48.69855195263727,48.99209858715031,48.99209858725031,49.284601809555014,49.284601809655015,49.8684257205283,49.8684257206283,50.158772557702434,50.158772557802436,50.44751949615711,50.447519496257115,50.736057752170126,50.73605775227013,51.02348303516091,51.02348303526091,51.31028227082668,51.310282270926685,51.59276873603132,51.59276873613132,51.874003106585945,51.87400310668595,52.154194064932234,52.154194065032236,52.43410678002297,52.434106780122974,52.71311520453314,52.71311520463314,52.99128889927664,52.99128889937664,53.26821049937013,53.26821049947013,53.54332351830249,53.543323518402495,54.09313219128389,54.093132191383894,54.36553233847457,54.365532338574575,54.63751512078192,54.63751512088192,54.90845449088093,54.90845449098093,55.17925473935215,55.179254739452155,55.4492898188706,55.4492898189706,55.715638175252906,55.71563817535291,55.98170828837966,55.98170828847966,56.244439482439724,56.244439482539725,56.50675331161645,56.50675331171645,56.768997579979285,56.76899758007929,57.02936370636711,57.02936370646711,57.28882554217437,57.288825542274374,57.547870013098304,57.547870013198306,57.80684492320834,57.80684492330834,58.063524326460026,58.06352432656003,58.31999504727005,58.31999504737005,58.57577015994118,58.57577016004118,58.831336590170636,58.83133659027064,59.08613785144732,59.08613785154732,59.33982613970176,59.339826139801765,59.592401454933984,59.592401455033986,59.844211601213416,59.84421160131342,60.09511745691229,60.09511745701229,60.34553638691394,60.345536387013944,60.59574663447392,60.59574663457392,60.84428742250056,60.84428742260056,61.088654561693836,61.08865456179384,61.33079575484265,61.33079575494265,61.56918066404144,61.56918066414144,61.806939525915226,61.80693952601523,62.044489705347345,62.04448970544735,62.28169208071002,62.281692080810025,62.516459827586566,62.51645982768657,62.74927987167421,62.74927987177421,62.98168255087852,62.98168255097852,63.21373742601338,63.21373742611338,63.44565317952046,63.445653179620464,63.6758994734942,63.6758994735942,63.903015530842914,63.903015530942916,64.35655203740146,64.35655203750146,64.5822073176585,64.5822073177585,64.80563665187108,64.80563665197108,65.02510101969197,65.02510101979198,65.24393934018785,65.24393934028785,65.46187337010318,65.46187337020318,65.67945959594906,65.67945959604906,65.89600240958659,65.89600240968659,66.1120582975269,66.1120582976269,66.3275576989561,66.3275576990561,66.54277885712975,66.54277885722975,66.7571652855367,66.7571652856367,66.97148215312978,66.97148215322979,67.18524253421175,67.18524253431175,67.39851598959649,67.39851598969649,67.61171988416733,67.61171988426733,67.82457597466873,67.82457597476873,68.03708426110069,68.03708426120069,68.24827089206875,68.24827089216875,68.45904015815347,68.45904015825347,68.87946571730068,68.87946571740068,69.0875916724576,69.08759167255761,69.29370036401174,69.29370036411174,69.49925256905476,69.49925256915476,69.7020223415422,69.7020223416422,69.90416606670465,69.90416606680465,70.10610110942542,70.10610110952543,70.3066449358684,70.30664493596841,70.5058671068475,70.5058671069475,70.70328069666546,70.70328069676546,70.89999867834453,70.89999867844453,71.09629929514027,71.09629929524027,71.29225210786656,71.29225210796656,71.48813535977897,71.48813535987897,71.68394905087747,71.68394905097747,71.87871932976765,71.87871932986765,72.07335048703004,72.07335048713004,72.26763384022298,72.26763384032299,72.46108246364926,72.46108246374926,72.65390503975053,72.65390503985053,72.84637981178236,72.84637981188236,73.03746336753639,73.03746336763639,73.22792087596542,73.22792087606543,73.41816970195278,73.41816970205278,73.60619258189568,73.60619258199569,73.79358941451359,73.79358941461359,73.98001239573703,73.98001239583704,74.16497459986881,74.16497459996882,74.3498672431867,74.3498672432867,74.53371647429624,74.53371647439624,74.71659185401133,74.71659185411133,74.89800645663475,74.89800645673475,75.07928193763038,75.07928193773039,75.26020961455657,75.26020961465657,75.44009387927443,75.44009387937443,75.61990858317839,75.61990858327839,75.79951460464068,75.79951460474068,75.9789815044752,75.9789815045752,76.15823972186804,76.15823972196804,76.33659364868032,76.33659364878032,76.51216514293704,76.51216514303704,76.68558025196317,76.68558025206318,76.85885623936154,76.85885623946155,77.03046276722657,77.03046276732657,77.20012159230268,77.20012159240268,77.36943261330934,77.36943261340934,77.70721992555602,77.70721992565602,77.87507016947102,77.87507016957102,78.04236392687488,78.04236392697489,78.20910119776765,78.20910119786765,78.37542110377709,78.37542110387709,78.54007155025316,78.54007155035316,78.70402638859036,78.70402638869037,78.86735517960254,78.86735517970254,79.03047528817306,79.03047528827307,79.19262154534913,79.19262154544913,79.35455912008352,79.35455912018352,79.51524460016792,79.51524460026792,79.67523447211342,79.67523447221342,79.83480697917558,79.83480697927558,79.99417080379607,79.99417080389607,80.15242165539433,80.15242165549434,80.31046382455094,80.31046382465094,80.46781038556864,80.46781038566864,80.62467002088911,80.62467002098911,80.78111229132625,80.78111229142625,80.93546773734671,80.93546773744671,81.0870407508116,81.0870407509116,81.23694430474315,81.23694430484315,81.38573488565245,81.38573488575246,81.53327337191176,81.53327337201176,81.68025537165995,81.68025537175996,81.82626352001368,81.82626352011368,81.97136737778686,81.97136737788686,82.11591474904893,82.11591474914893,82.26025343786932,82.26025343796933,82.40445300506194,82.40445300516194,82.69118267991382,82.69118268001382,82.83266937536476,82.83266937546476,82.97394738837403,82.97394738847403,83.1138341851055,83.1138341852055,83.25330361695364,83.25330361705365,83.3925643663601,83.3925643664601,83.5311295076277,83.5311295077277,83.66955552726749,83.66955552736749,83.80784242527952,83.80784242537952,83.9450859110832,83.9450859111832,84.08177291037576,84.08177291047576,84.21706869339054,84.21706869349055,84.35062545605808,84.35062545615808,84.48397353628397,84.48397353638397,84.61537391372094,84.61537391382095,84.74475702755512,84.74475702765513,84.87323585080875,84.87323585090876,85.00129730917904,85.00129730927904,85.12928920673544,85.12928920683544,85.2568637394085,85.2568637395085,85.38367310312877,85.38367310322877,85.51034334522127,85.51034334532127,85.63617885754711,85.63617885764711,85.76180568743126,85.76180568753126,85.88722383487375,85.88722383497375,86.01257242150236,86.01257242160236,86.1377123256893,86.1377123257893,86.26229574336512,86.26229574346512,86.3864617961576,86.3864617962576,86.51028004488063,86.51028004498063,86.63340268546479,86.63340268556479,86.75645576523503,86.75645576533503,86.87888279768029,86.87888279778029,87.0008229044283,87.0008229045283,87.12130223408467,87.12130223418467,87.24129463804378,87.24129463814378,87.36059143386402,87.36059143396402,87.47828833096479,87.47828833106479,87.59473313341556,87.59473313351556,87.71096925342465,87.71096925352465,87.8262315220393,87.8262315221393,87.94093730414284,87.94093730424284,88.05515616054915,88.05515616064915,88.16860984800266,88.16860984810266,88.28143748813119,88.28143748823119,88.506605842691,88.506605842791,88.61873787468063,88.61873787478063,88.72892220388135,88.72892220398136,88.83848048575707,88.83848048585708,88.94657799054112,88.94657799064112,89.0544668128835,89.0544668129835,89.16200783115643,89.16200783125643,89.26940972780157,89.26940972790158,89.3763942595634,89.3763942596634,89.48310054806966,89.48310054816966,89.58959815413424,89.58959815423424,89.69588707775716,89.69588707785717,89.80154995405508,89.80154995415508,89.9065172222141,89.90651722231411,90.01064976060646,90.01064976070646,90.11471273818492,90.11471273828492,90.2187061549495,90.2187061550495,90.32103011218072,90.32103011228072,90.42321494778417,90.42321494788418,90.51475697886255,90.51475697896255,90.6019166786659,90.6019166787659,90.68740691893592,90.68740691903592,90.77004516583646,90.77004516593647,90.84795327739252,90.84795327749252,90.92537446325137,90.92537446335137,91.00265652748243,91.00265652758243,91.06720896277174,91.06720896287175,91.13127447236384,91.13127447246384,91.18233210975862,91.18233210985862,91.22768576041447,91.22768576051448,91.2725524853731,91.2725524854731,91.31568018998449,91.31568019008449,91.35783404320144,91.35783404330144,91.39435347049334,91.39435347059334,91.4246819853491,91.4246819854491,91.4541062096243,91.4541062097243,91.48332175145782,91.48332175155782,91.50425955643851,91.50425955653851,91.52512780060532,91.52512780070532,91.54571780151656,91.54571780161656],[0.0,1e-10,1.4547852118105589,1.4547852119105589,2.7106008964794834,2.7106008965794834,3.9318547979730845,3.9318547980730845,5.004546203786908,5.004546203886908,6.0226831641578356,6.022683164257836,7.033695079997235,7.033695080097235,8.040559581855595,8.040559581955595,8.956180976131101,8.956180976231101,9.846705198623908,9.846705198723908,10.730636096326348,10.730636096426348,11.591384013314263,11.591384013414263,12.452025586353944,12.452025586453944,13.290441274213189,13.290441274313189,14.12694277100426,14.12694277110426,14.960998356986,14.960998357086,15.761555599274734,15.761555599374734,16.55381801360139,16.553818013701388,17.311093268959798,17.311093269059796,18.05603262632332,18.056032626423317,18.795867474171715,18.795867474271713,19.512944717098513,19.51294471719851,20.225342826303113,20.22534282640311,20.91168666819093,20.91168666829093,21.584099452860386,21.584099452960384,22.25279019934173,22.25279019944173,22.902658066986053,22.90265806708605,23.545400890098847,23.545400890198845,24.16878911463346,24.168789114733457,24.79196465127161,24.791964651371607,25.384832162663702,25.3848321627637,25.976529890625248,25.976529890725246,26.55769956771185,26.55769956781185,27.138337525057292,27.13833752515729,27.716423227645173,27.71642322774517,28.288979044925,28.288979045025,28.85185756291574,28.851857563015738,29.413353609579463,29.41335360967946,29.959748815594278,29.959748815694276,30.50263467131744,30.50263467141744,31.0438190238689,31.043819023968897,31.577240268199436,31.577240268299434,32.107045818290096,32.1070458183901,32.633448362037335,32.63344836213734,33.159106498146954,33.159106498246956,33.678064965517976,33.67806496561798,34.18607000622112,34.186070006321124,34.69375601507957,34.693756015179574,35.20016589655924,35.20016589665924,35.70646943409068,35.70646943419068,36.21096512450218,36.21096512460218,36.71450371937959,36.714503719479595,37.214107588172425,37.21410758827243,37.71307339327587,37.71307339337587,38.20746640860535,38.20746640870535,38.70164673603837,38.70164673613837,39.195188999782,39.195188999882,39.687774167991535,39.687774168091536,40.17770073749528,40.17770073759528,40.665181396189695,40.6651813962897,41.15021614407478,41.150216144174784,41.63386842063285,41.63386842073285,42.110182964762934,42.110182964862936,42.58596578915186,42.58596578925186,43.06100420590315,43.061004206003155,43.53306499210396,43.53306499220396,44.000978364323736,44.00097836442374,44.46867904864704,44.46867904874704,44.93627338902211,44.936273389122114,45.39727440460682,45.39727440470682,45.852745534883475,45.85274553498348,46.76283704385093,46.76283704395093,47.21075775380312,47.210757753903124,47.652404170809646,47.65240417090965,48.090541237524526,48.09054123762453,48.527721208705316,48.52772120880532,48.96468849198964,48.96468849208964,49.39995427210226,49.399954272202265,49.834581988525485,49.83458198862549,50.258575310125536,50.25857531022554,50.67384842797058,50.673848428070585,51.08795176238508,51.08795176248508,51.494611020423356,51.49461102052336,51.89988780713462,51.89988780723462,52.70342267997384,52.70342268007384,53.09902216739601,53.09902216749601,53.49398359112879,53.49398359122879,53.88713716774163,53.88713716784163,54.27699408195928,54.27699408205928,54.66631927643578,54.66631927653578,55.05404931168879,55.054049311788795,55.44146031509712,55.44146031519712,55.8270634713855,55.8270634714855,56.20883824553754,56.208838245637544,56.59050667574135,56.590506675841354,56.970898978566375,56.970898978666376,57.34895171453031,57.34895171463031,57.72594101101192,57.72594101111192,58.099739989046576,58.09973998914658,58.84701891327119,58.847018913371194,59.20327113984761,59.20327113994761,59.55697111166646,59.556971111766465,59.90354603895379,59.90354603905379,60.24927021465526,60.24927021475526,60.594249982719106,60.59424998281911,60.93848534314534,60.93848534324534,61.27867963353876,61.27867963363876,61.61749145260516,61.61749145270516,61.95183682584583,61.95183682594583,62.61957047679309,62.619570476893095,62.94976843605273,62.94976843615273,63.27890295583004,63.27890295593004,63.60761209981443,63.607612099914434,63.93387533298949,63.93387533308949,64.25875609483754,64.25875609493754,64.58331782484089,64.58331782494089,64.9074541790513,64.9074541791513,65.23063343772765,65.23063343782765,65.55285560086989,65.55285560096989,65.87273819715105,65.87273819725105,66.1923017615875,66.1923017616875,66.50973844705932,66.50973844715932,66.82685610068646,66.82685610078646,67.14301665877949,67.14301665887949,67.45715668185613,67.45715668195614,67.77002057755398,67.77002057765398,68.08245909745891,68.08245909755891,68.38745354098762,68.38745354108762,68.69032110555169,68.69032110565169,68.99148716694404,68.99148716704404,69.29201516464701,69.29201516474701,69.59233047445352,69.59233047455352,69.89062524924363,69.89062524934363,70.48572598354859,70.48572598364859,70.78008603225412,70.78008603235412,71.07391436121848,71.07391436131849,71.36678559464877,71.36678559474878,71.65327619118516,71.65327619128516,71.93604474953342,71.93604474963342,72.2178562123476,72.2178562124476,72.49871057962768,72.49871057972769,72.77637462846083,72.77637462856083,73.05318792570812,73.05318792580812,73.32957584716247,73.32957584726248,73.5944786222078,73.5944786223078,73.85767989408143,73.85767989418143,74.12045579016213,74.12045579026213,74.37961599200294,74.37961599210294,74.63718103462027,74.63718103472027,74.89017328746364,74.89017328756364,75.14231478872117,75.14231478882117,75.38977715625649,75.38977715635649,75.63638877220595,75.63638877230595,75.88236232446602,75.88236232456602,76.12812318882963,76.12812318892964,76.37111911053921,76.37111911063921,76.61039299406069,76.61039299416069,76.84892246994454,76.84892247004454,77.08723925793193,77.08723925803193,77.32544970197108,77.32544970207108,77.56312842626909,77.56312842636909,77.79985005503299,77.79985005513299,78.03561458826282,78.03561458836282,78.26850783489039,78.26850783499039,78.4985297949157,78.4985297950157,78.72716928361399,78.72716928371399,78.9554897404676,78.9554897405676,79.18030084702954,79.18030084712954,79.4034104504198,79.4034104505198,79.62588199012065,79.62588199022065,80.07050603767766,80.07050603777766,80.28691597232931,80.28691597242931,80.50119902801632,80.50119902811632,80.71484402001393,80.71484402011393,80.92774460437393,80.92774460447393,81.13979443714807,81.13979443724807,81.34737782409647,81.34737782419647,81.55219626839086,81.55219626849086,81.9601316538079,81.96013165390791,82.1626105312412,82.1626105313412,82.36477037682978,82.36477037692978,82.5653350631949,82.5653350632949,82.76526168587061,82.76526168597061,82.9647629327534,82.9647629328534,83.16181826882686,83.16181826892687,83.35621500619453,83.35621500629453,83.55039905566574,83.55039905576574,83.73873418798419,83.7387341880842,83.92664394450973,83.92664394460974,84.11412832524233,84.11412832534234,84.3008682983373,84.30086829843731,84.48675751984644,84.48675751994644,84.67137061397679,84.67137061407679,84.85577102021067,84.85577102031067,85.03953336275517,85.03953336285517,85.22191323397264,85.22191323407264,85.40333600965603,85.40333600975603,85.5843334095465,85.5843334096465,85.7651181215405,85.7651181216405,85.94377595456986,85.94377595466986,86.29917742956043,86.29917742966043,86.47560203967693,86.47560203977693,86.65181396189696,86.65181396199696,86.82728147647937,86.82728147657937,87.00253630316533,87.00253630326533,87.17704672221366,87.17704672231366,87.52553584056915,87.52553584066915,87.69898282013516,87.69898282023516,87.87072829652946,87.87072829662947,88.04215474107907,88.04215474117908,88.21336849773222,88.21336849783222,88.38394419069597,88.38394419079597,88.55430719576326,88.55430719586326,88.72328772950354,88.72328772960354,88.89173654350265,88.89173654360265,89.05912191801946,89.05912191811946,89.22246622250344,89.22246622260344,89.38570418303921,89.38570418313921,89.71132935252487,89.71132935262487,89.87361021752655,89.87361021762655,90.03461495514944,90.03461495524944,90.19530066092764,90.19530066102764,90.35290239220711,90.35290239230712,90.51007874769367,90.51007874779367,90.66714875923198,90.66714875933198,90.8238997389256,90.8238997390256,90.980544374671,90.980544374771,91.13538116329644,91.13538116339645,91.27086335334371,91.27086335344372,91.39039395115623,91.39039395125623,91.48918747906353,91.48918747916353,91.58734294328146,91.58734294338146,91.67380057319389,91.67380057329389,91.7448383306127,91.7448383307127,91.79141697993822,91.79141698003822,91.83640047004025,91.83640047014025,91.88095858434936,91.88095858444936,91.92051853309158,91.92051853319158,91.95837697866209,91.95837697876209,91.97826329698142,91.97826329708143,91.99676714397376,91.99676714407376,92.01048551329565,92.01048551339565,92.02016281258474,92.02016281268475],[0.0,1e-10,6.210215837180042,6.2102158372800425,11.927251421745117,11.927251421845117,16.418314688798286,16.418314688898285,20.781142799105393,20.78114279920539,24.30671141078709,24.30671141088709,27.65505848310799,27.655058483207988,30.858795542999196,30.858795543099195,33.98266199879642,33.98266199889642,37.058371178595785,37.058371178695786,39.85232229308781,39.85232229318781,42.45585525456682,42.45585525466682,44.98649592597736,44.98649592607736,47.503525430427246,47.50352543052725,49.873803063687134,49.873803063787136,52.079779402366135,52.07977940246614,54.27159183633988,54.27159183643988,56.40992689352406,56.40992689362406,58.364200281758066,58.36420028185807,60.06683981176516,60.066839811865165,61.69955801708098,61.69955801718098,63.229881555210554,63.229881555310556,64.73892469017322,64.73892469027322,66.23145478501611,66.23145478511611,67.67285663848395,67.67285663858395,69.10866202228777,69.10866202238778,70.54025278078905,70.54025278088905,71.87165982308247,71.87165982318247,73.15843329249984,73.15843329259984,74.3397029449176,74.3397029450176,75.45395314580324,75.45395314590324,76.46560140284839,76.4656014029484,77.47047862252226,77.47047862262227,78.47203941572857,78.47203941582858,79.4052680052593,79.4052680053593,80.33110372745607,80.33110372755607,81.19897107868843,81.19897107878843,82.00583000136112,82.00583000146112,82.77717552394357,82.77717552404357,83.53739719941603,83.53739719951604,84.27875669935419,84.27875669945419,85.0118942253415,85.01189422544151,85.70088182397929,85.70088182407929,86.29970407802999,86.29970407812999,86.88816249936953,86.88816249946953,87.47586090631026,87.47586090641026,88.04296983226482,88.04296983236482,88.57843452234131,88.57843452244131,89.064843737585,89.064843737685,89.49093544644973,89.49093544654973,89.8913248501908,89.8913248502908,90.28114314456649,90.28114314466649,90.6563138887104,90.6563138888104,91.0277536530783,91.02775365317831,91.35421438347977,91.35421438357977,91.58532785293859,91.58532785303859,91.81609586130705,91.81609586140705,92.00312849563441,92.00312849573442,92.18947020778103,92.18947020788103,92.36282258292967,92.36282258302967,92.52581112536714,92.52581112546714,92.68852329893232,92.68852329903233,92.85109728806135,92.85109728816136,92.99335816507651,92.99335816517652,93.12788071366734,93.12788071376734,93.2588104669183,93.25881046701831,93.37730362091587,93.37730362101587,93.49337854728084,93.49337854738084,93.60834799815662,93.60834799825662,93.72200469688899,93.72200469698899,93.82978855708502,93.82978855718503,93.93149230209052,93.93149230219052,93.99533351159126,93.99533351169126,94.05281823702914,94.05281823712915,94.08294244410958,94.08294244420958,94.1109247924297,94.1109247925297,94.13856167965946,94.13856167975946,94.15231103105626,94.15231103115626],[0.0,1e-10,6.026961957353559,6.026961957453559,9.619743596595864,9.619743596695864,12.942492657008822,12.942492657108822,16.041854442357824,16.041854442457822,19.05831148859255,19.05831148869255,22.006804869575358,22.006804869675356,24.854658578241423,24.85465857834142,27.678278593935623,27.67827859403562,30.354249217112024,30.354249217212022,32.86082693377582,32.86082693387582,35.28802260353678,35.28802260363678,37.60631849510589,37.60631849520589,39.56602861397853,39.56602861407853,41.44574932522223,41.44574932532223,43.20466598804228,43.20466598814228,44.95410782353498,44.954107823634985,46.693467470974234,46.693467471074236,48.38618181464808,48.386181814748085,49.97151478194535,49.971514782045354,51.509716556896336,51.50971655699634,53.00643559425388,53.00643559435388,54.351678866519116,54.35167886661912,55.58826530488294,55.58826530498294,56.82351554964931,56.82351554974931,58.006957924478336,58.00695792457834,59.14387646768719,59.143876467787194,60.23117363957271,60.23117363967271,61.28354756970679,61.28354756980679,62.32255956386641,62.322559563966415,63.28225024719582,63.28225024729582,64.16753924157652,64.16753924167652,64.98796211040846,64.98796211050846,65.8007322340914,65.8007322341914,66.59509932777314,66.59509932787314,67.36347138237731,67.36347138247731,68.12255081787195,68.12255081797196,68.85387386818329,68.85387386828329,69.54863380278269,69.54863380288269,70.22444408272739,70.22444408282739,70.87735686329768,70.87735686339768,71.5228598430094,71.5228598431094,72.16569043552623,72.16569043562623,72.79260817701893,72.79260817711894,73.41393819983139,73.4139381999314,74.02488235422736,74.02488235432736,74.54217148465685,74.54217148475685,75.03291895135527,75.03291895145527,75.52360568198107,75.52360568208107,75.99431024471778,75.99431024481778,76.43823019943297,76.43823019953297,76.86228945840429,76.86228945850429,77.283008233382,77.28300823348201,77.68921108700565,77.68921108710565,78.09158756805476,78.09158756815476,78.47373893692438,78.47373893702438,78.84501854879657,78.84501854889658,79.21441534241784,79.21441534251784,79.5763415991079,79.57634159920791,79.92126175546686,79.92126175556686,80.25105862974561,80.25105862984562,80.58079476795176,80.58079476805176,80.90731189430952,80.90731189440952,81.22635848373609,81.2263584838361,81.50525852916668,81.50525852926668,81.76715247426613,81.76715247436613,82.01270841583316,82.01270841593316,82.25686742773014,82.25686742783014,82.48936511368578,82.48936511378578,82.7218020635688,82.7218020636688,82.95114147374865,82.95114147384865,83.16717968402665,83.16717968412665,83.37866268885882,83.37866268895883,83.58814140329481,83.58814140339481,83.79689128485947,83.79689128495947,84.00539822213368,84.00539822223368,84.20412665171749,84.20412665181749,84.37588826506195,84.37588826516195,84.542244367944,84.542244368044,84.7068391247203,84.7068391248203,84.87082652077052,84.87082652087052,85.02819368490611,85.02819368500612,85.17377805095514,85.17377805105514,85.31766180697105,85.31766180707105,85.45984495295384,85.45984495305385,85.60160294642836,85.60160294652836,85.74238916274109,85.74238916284109,85.87521895354176,85.87521895364176,86.0008211517017,86.0008211518017,86.12447979553808,86.12447979563808,86.24655930148657,86.24655930158657,86.36821365492679,86.36821365502679,86.47152571443843,86.47152571453843,86.57228685890038,86.57228685900039,86.67262285085407,86.67262285095407,86.77253369029948,86.77253369039948,86.86728196357294,86.86728196367294,86.96051183503111,86.96051183513111,87.03788959153776,87.03788959163776,87.11168391976037,87.11168391986037,87.18098377860973,87.18098377870973,87.2492511242247,87.2492511243247,87.30524978317221,87.30524978327222,87.34484970251472,87.34484970261472,87.37479258631203,87.37479258641203,87.40418884545585,87.40418884555585,87.43133786991305,87.43133787001305,87.45806174186197,87.45806174196197,87.4826598512695,87.4826598513695,87.50337085202992,87.50337085212992,87.51806898160183,87.51806898170183,87.52511436602472,87.52511436612473,87.53124870935845,87.53124870945845,87.53610759516735,87.53610759526735],[0.0,1e-10,4.486778075370629,4.486778075470629,7.654621586493781,7.654621586593781,10.655043398639913,10.655043398739913,13.599086416620084,13.599086416720084,16.48380138477841,16.483801384878408,19.045264215583728,19.045264215683726,21.30329665053721,21.303296650637208,23.48636312195858,23.486363122058577,25.28643788216009,25.28643788226009,27.083494799364882,27.08349479946488,28.785352487491384,28.785352487591382,30.475618915016856,30.475618915116854,32.1547056059863,32.1547056060863,33.67309215738051,33.67309215748051,35.18612889618963,35.18612889628963,36.651085909073764,36.651085909173766,38.03449257370567,38.03449257380567,39.41392117256918,39.413921172669184,40.78210144753583,40.78210144763583,42.133889348043034,42.133889348143036,43.425526150638376,43.42552615073838,44.67443303989383,44.67443303999383,45.906741792667326,45.90674179276733,47.08925613599498,47.08925613609498,48.264157284490004,48.264157284590006,49.435766240624964,49.435766240724966,50.57548208327189,50.575482083371895,51.652097572351074,51.652097572451076,52.67027664703926,52.67027664713926,53.6722691092905,53.6722691093905,54.67138090322669,54.67138090332669,55.597858703219146,55.59785870331915,56.48654487841179,56.48654487851179,57.36384555502591,57.36384555512591,58.23586500639577,58.23586500649577,59.039502878953634,59.039502879053636,59.84005432117394,59.84005432127394,60.62572231043316,60.62572231053316,61.318728802224975,61.318728802324976,61.97949924382457,61.97949924392457,62.63588009561075,62.63588009571075,63.27003864896656,63.270038649066564,63.86057565355162,63.86057565365162,64.44103031903401,64.44103031913401,65.00214335440108,65.00214335450109,65.55591754429885,65.55591754439885,66.09165326355715,66.09165326365715,66.61908991457447,66.61908991467448,67.13829608469165,67.13829608479165,67.65510169787962,67.65510169797962,68.14563835952798,68.14563835962798,69.1227336170563,69.1227336171563,69.5819258639433,69.5819258640433,70.03864896656025,70.03864896666025,70.49153117809045,70.49153117819046,70.9418756580098,70.94187565810981,71.38906512025075,71.38906512035075,71.82418321050484,71.82418321060484,72.24757286547622,72.24757286557622,72.66437813572749,72.66437813582749,73.08022318320708,73.08022318330708,73.48331098529144,73.48331098539144,73.8837924684241,73.8837924685241,74.28118752121921,74.28118752131921,74.67851398667348,74.67851398677348,75.05684175871659,75.05684175881659,75.42927101944794,75.42927101954794,75.79497872077751,75.79497872087751,76.15814869049619,76.15814869059619,76.52042702478404,76.52042702488404,76.88057915150601,76.88057915160601,77.23407830616704,77.23407830626704,77.58346222037798,77.58346222047798,77.9239983676213,77.9239983677213,78.2538348896944,78.2538348897944,78.58127085483832,78.58127085493832,78.90054492642292,78.90054492652293,79.20054595523304,79.20054595533304,79.48600646778624,79.48600646788624,79.76385378550681,79.76385378560681,80.0351853058481,80.0351853059481,80.30541942873604,80.30541942883605,80.55514593671447,80.55514593681447,80.80116872828782,80.80116872838782,81.0424589933436,81.0424589934436,81.28354349637688,81.28354349647688,81.51536870839749,81.51536870849749,81.74712533307728,81.74712533317728,81.96879961865439,81.96879961875439,82.18766182325729,82.18766182335729,82.39959670643589,82.39959670653589,82.60412415680437,82.60412415690438,82.80748562237868,82.80748562247868,83.00974969049962,83.00974969059962,83.1875966652835,83.1875966653835,83.36359178186483,83.36359178196483,83.53506013395108,83.53506013405108,83.70261900760977,83.70261900770977,83.87010929392763,83.87010929402763,84.0326612917054,84.0326612918054,84.19439024139315,84.19439024149315,84.3539243961742,84.3539243962742,84.50865743709683,84.50865743719683,84.66064698438609,84.66064698448609,84.81044173676864,84.81044173686864,84.95893332967535,84.95893332977535,85.1047500162895,85.1047500163895,85.24823473331527,85.24823473341527,85.38506647828011,85.38506647838011,85.51970342833823,85.51970342843823,85.64782458101708,85.64782458111708,85.77265354133587,85.77265354143587,85.89281856247793,85.89281856257793,86.00934845455575,86.00934845465575,86.1245751871577,86.1245751872577,86.239253221033,86.239253221133,86.35303961947743,86.35303961957743,86.46257360279013,86.46257360289013,86.56950126715113,86.56950126725113,86.67046183285952,86.67046183295952,86.72978988268136,86.72978988278136,86.78040734021721,86.78040734031721,86.79522220583746,86.79522220593746,86.80873391198186,86.80873391208186,86.82121680801374,86.82121680811375,86.82917293955055,86.82917293965055,86.8366489597015,86.83664895980151,86.84385063048913,86.84385063058913,86.8501606658459,86.85016066594591,86.855922002476,86.85592200257601,86.86127181506109,86.86127181516109,86.865867166897,86.865867166997],[0.0,1e-10,1.9902557229500413,1.9902557230500413,3.8251238305970925,3.8251238306970925,5.589510049516646,5.589510049616646,7.181589881170966,7.181589881270966,8.766730677320036,8.766730677420036,10.04951664549871,10.04951664559871,11.29877693651718,11.29877693661718,12.543203292689297,12.543203292789297,13.7764024453473,13.7764024454473,14.984808190244964,14.984808190344964,16.19079696771945,16.19079696781945,17.352890498121393,17.35289049822139,18.486682119664838,18.486682119764836,19.591781998894433,19.59178199899443,20.65797649927998,20.657976499379977,21.68791648831786,21.68791648841786,22.696025803856077,22.696025803956076,23.69353164940874,23.69353164950874,24.675911956893774,24.675911956993772,25.655797330264566,25.655797330364564,26.587811155318224,26.587811155418223,27.481699268438536,27.481699268538534,28.35321094122169,28.353210941321688,29.21045470953899,29.210454709638988,30.05498990721184,30.05498990731184,30.890870802175893,30.89087080227589,31.724958463245333,31.72495846334533,32.55647322350945,32.55647322360945,33.37527941312912,33.37527941322912,34.185821133495345,34.18582113359535,34.97531184727261,34.97531184737261,35.75926692598388,35.75926692608388,36.5428321712398,36.5428321713398,37.30511250983355,37.30511250993355,38.055541911384616,38.05554191148462,38.7640252331399,38.7640252332399,39.45613554977043,39.45613554987043,40.14653059919741,40.146530599297414,40.827179812240615,40.82717981234062,41.507751058592746,41.50775105869275,42.187230771269896,42.1872307713699,42.85938161498645,42.85938161508645,43.523345956140616,43.52334595624062,44.18052719517168,44.18052719527168,44.833576199576015,44.83357619967602,45.47383866664484,45.47383866674484,46.10950109894051,46.109501099040514,46.72676339214361,46.72676339224361,47.34106295108604,47.34106295118604,47.951698075548165,47.95169807564817,48.55593993134253,48.55593993144253,49.13234767842482,49.13234767852482,49.705090991026815,49.705090991126816,50.27565123627884,50.27565123637884,50.83927244602561,50.83927244612561,51.383947749842314,51.383947749942315,51.92815525351259,51.928155253612594,52.46183725388839,52.46183725398839,52.97462418105737,52.974624181157374,53.48546194094959,53.48546194104959,53.989750498791906,53.98975049889191,54.4862423875272,54.4862423876272,54.979693575310755,54.97969357541076,55.46955829530508,55.46955829540508,55.954355180379835,55.95435518047984,56.42410449407804,56.42410449417804,56.890891073515576,56.89089107361558,57.35565051898528,57.35565051908528,57.81471839600686,57.81471839610686,58.27285067273559,58.272850672835595,58.72981344909827,58.729813449198275,59.18147449046818,59.181474490568185,59.63134229794347,59.63134229804347,60.0798067049795,60.0798067050795,60.52063037629064,60.52063037639064,60.95365737849476,60.95365737859476,61.38387757982035,61.38387757992035,61.81168081372276,61.81168081382276,62.23839251395019,62.23839251405019,62.662687246754444,62.662687246854446,63.08191414463913,63.08191414473913,63.49334437341679,63.49334437351679,63.89962880058381,63.899628800683814,64.30552339429549,64.3055233943955,64.70237385184302,64.70237385194302,65.09532597483702,65.09532597493703,65.48726453084713,65.48726453094713,65.87881325340189,65.87881325350189,66.26958230904593,66.26958230914593,66.65497166300614,66.65497166310614,67.03817794961637,67.03817794971637,67.41272993351781,67.41272993361781,67.77699031419797,67.77699031429798,68.14093882811385,68.14093882821385,68.50356190828154,68.50356190838154,68.86524938815639,68.86524938825639,69.21898426554208,69.21898426564208,69.56897674175639,69.56897674185639,69.9050911469602,69.9050911470602,70.24112758547294,70.24112758557294,70.57412332303393,70.57412332313393,70.90633939368423,70.90633939378424,71.2365283303667,71.2365283304667,71.89620450351201,71.89620450361201,72.22537987321057,72.22537987331057,72.55276200901451,72.55276200911452,72.87959837798095,72.87959837808096,73.2062008468742,73.2062008469742,73.51237604270703,73.51237604280703,73.8161342711167,73.8161342712167,74.11825519901387,74.11825519911388,74.4184269596343,74.4184269597343,74.71672751966905,74.71672751976905,75.01417044610201,75.01417044620202,75.30295906982619,75.30295906992619,75.583561190988,75.583561191088,75.86268194501945,75.86268194511945,76.13782639780634,76.13782639790634,76.41133355008074,76.41133355018074,76.68328136853374,76.68328136863374,76.9537478198564,76.9537478199564,77.22382443772372,77.22382443782372,77.4924196884607,77.4924196885607,77.75984543883162,77.75984543893162,78.01838298642055,78.01838298652055,78.2749713667327,78.2749713668327,78.52789531256457,78.52789531266457,78.77419208965546,78.77419208975546,79.0193193663803,79.0193193664803,79.263199176048,79.263199176148,79.50590948534968,79.50590948544968,79.74745029428527,79.74745029438527,79.98743176939948,79.98743176949948,80.22538611054586,80.22538611064586,80.46224891801724,80.46224891811724,80.69100318961733,80.69100318971734,80.91024552490686,80.91024552500686,81.1288641266678,81.12886412676781,81.34311659372882,81.34311659382882,81.55713516071664,81.55713516081664,81.76975032726519,81.76975032736519,81.98010445977269,81.98010445987269,82.1844551570678,82.1844551571678,82.38568718672009,82.38568718682009,82.58637344953489,82.58637344963489,82.78557834521935,82.78557834531935,82.98369170722884,82.98369170732884,83.18157116916511,83.18157116926511,83.3775794305157,83.3775794306157,83.57163852458953,83.57163852468953,83.76468405167944,83.76468405177944,83.95749567869615,83.95749567879615,84.14952763880216,84.14952763890216,84.34070196530638,84.34070196540638,84.53062882475349,84.5306288248535,84.7200099173631,84.7200099174631,84.9089232098263,84.9089232099263,85.09721276876093,85.09721276886093,85.28105822630455,85.28105822640455,85.46420198362856,85.46420198372856,85.6453965736758,85.6453965737758,85.82612336357661,85.82612336367661,86.00225011870428,86.00225011880428,86.17268530538384,86.17268530548384,86.34273065860803,86.34273065870804,86.50942344411621,86.50942344421621,86.67416706234762,86.67416706244762,86.83820898035941,86.83820898045941,87.00201699829799,87.00201699839799,87.16543518278121,87.16543518288121,87.3286974338823,87.3286974339823,87.65327276880771,87.65327276890771,87.8065552834518,87.8065552835518,87.95742083067272,87.95742083077272,88.10797451112936,88.10797451122936,88.25774852467529,88.2577485247753,88.4057293043266,88.4057293044266,88.55332025052257,88.55332025062258,88.70052136326319,88.7005213633632,88.84631907556454,88.84631907566454,88.99047948735341,88.99047948745341,89.13456193245122,89.13456193255122,89.2781765774026,89.2781765775026,89.42116748882542,89.42116748892542,89.56369060010182,89.56369060020182,89.70473234424789,89.70473234434789,89.84390288780827,89.84390288790827,89.9826835979133,89.9826835980133,90.11756597346482,90.11756597356482,90.25237038232527,90.25237038242527,90.38639512427501,90.38639512437501,90.52010799946046,90.52010799956047,90.65265137427988,90.65265137437989,90.91766015722763,90.91766015732763,91.04981369859169,91.0498136986917,91.18188927326467,91.18188927336467,91.31341908110018,91.31341908120018,91.44432515540711,91.44432515550712,91.57476342956762,91.57476342966763,91.70411017005316,91.70411017015316,91.83010434282266,91.83010434292267,91.95555274875468,91.95555274885469,92.08053335454028,92.08053335464028,92.2054359936348,92.2054359937348,92.33018269934719,92.33018269944719,92.45469550498636,92.45469550508636,92.57874051047911,92.57874051057911,92.70146008222368,92.70146008232368,92.82363388713074,92.82363388723074,92.94463819167176,92.94463819177176,93.0655645295217,93.0655645296217,93.18625696729843,93.18625696739844,93.30585787140018,93.30585787150018,93.42491300866443,93.42491300876443,93.54389017923762,93.54389017933762,93.66271141642868,93.66271141652868,93.77786821913942,93.77786821923942,93.89177755479304,93.89177755489304,94.00163262251101,94.00163262261101,94.10797918913082,94.10797918923082,94.2073087535543,94.2073087536543,94.29611281468331,94.29611281478331,94.3836694087552,94.3836694088552,94.45547673123089,94.45547673133089,94.51839585092456,94.51839585102456,94.57398610165765,94.57398610175765,94.61601014814451,94.61601014824451,94.65078329236184,94.65078329246184,94.68228183555422,94.68228183565422,94.71261087838054,94.71261087848055,94.74247212106044,94.74247212116045,94.76586212838151,94.76586212848152],[0.0,1e-10,15.981944408481262,15.981944408581262,24.156098007465754,24.156098007565753,32.30586355093701,32.305863551037014,39.40074031297402,39.400740313074024,43.399357720987396,43.3993577210874,47.21521525620405,47.21521525630405,50.818746164903,50.818746165003,53.99214403525369,53.99214403535369,57.075035121810814,57.075035121910815,60.147749464215494,60.147749464315496,63.19848444794776,63.198484448047765,66.2218807225368,66.2218807226368,68.67628258590467,68.67628258600467,70.9973028617125,70.9973028618125,73.20637895184353,73.20637895194353,75.29188889404082,75.29188889414083,77.19560244217773,77.19560244227773,78.76739756565054,78.76739756575054,80.26157243342814,80.26157243352814,81.74551033963228,81.74551033973228,83.0792659978117,83.0792659979117,84.27410006569721,84.27410006579721,85.42949172281439,85.42949172291439,86.56188032510181,86.56188032520181,87.5920197464967,87.5920197465967,88.45776560850607,88.45776560860607,89.27118253164878,89.27118253174878,89.91731545919697,89.91731545929697,90.55062207606785,90.55062207616785,91.0805353810468,91.0805353811468,91.49362688924631,91.49362688934632,91.82060748538673,91.82060748548673,92.05575651447116,92.05575651457116,92.27488770956415,92.27488770966416,92.42597321890418,92.42597321900418,92.56802611509114,92.56802611519115,92.70411748659711,92.70411748669711,92.79275753033905,92.79275753043905,92.88133735665996,92.88133735675996,92.93679760141968,92.93679760151969,92.9871393653927,92.9871393654927,93.01345437837857,93.01345437847857],[0.0,1e-10,9.646898535366915,9.646898535466915,17.776960788730836,17.776960788830834,25.460081975239223,25.46008197533922,32.53791039432337,32.53791039442337,38.621054648757784,38.621054648857786,43.591712126700585,43.59171212680059,47.39810014002952,47.39810014012952,50.99285194656651,50.99285194666651,54.169317375614916,54.16931737571492,57.335029787060215,57.33502978716022,60.34785711582442,60.34785711592442,63.17854394530018,63.17854394540018,65.97204575859536,65.97204575869536,68.17599385816469,68.17599385826469,70.33885221449086,70.33885221459086,72.41256264834209,72.41256264844209,74.14692226409291,74.14692226419291,75.79724013891217,75.79724013901217,77.365258381797,77.36525838189701,78.70962587308195,78.70962587318195,80.04017663783776,80.04017663793776,81.20504682969202,81.20504682979202,82.36276836738556,82.36276836748556,83.5153837235357,83.51538372363571,84.60083777420945,84.60083777430945,85.6279011371166,85.6279011372166,86.47474632790455,86.47474632800456,87.28380577527155,87.28380577537155,88.08878027740383,88.08878027750383,88.73336060635005,88.73336060645005,89.26302181420829,89.26302181430829,89.79166178575784,89.79166178585784,90.30528357629747,90.30528357639747,90.71738246320996,90.71738246330996,91.04664106367169,91.04664106377169,91.37283595520738,91.37283595530738,91.6074199425825,91.6074199426825,91.82602458536304,91.82602458546305,92.00155708500711,92.00155708510711,92.17186325765972,92.17186325775972,92.31117190470783,92.31117190480784,92.43516200712583,92.43516200722583,92.52370920236038,92.52370920246038,92.61213625214685,92.61213625224686,92.69665857487074,92.69665857497074,92.77108867995595,92.77108868005595,92.84503820324885,92.84503820334885,92.90895558162711,92.90895558172711,92.96890816021876,92.96890816031876,92.9940786315914,92.99407863169141,93.01546452134954,93.01546452144954,93.03661012021153,93.03661012031154],[0.0,1e-10,1.1899456829812287,1.1899456830812287,2.3404921644978396,2.3404921645978396,3.42851626648228,3.42851626658228,4.426180376503708,4.426180376603708,5.39746610377817,5.39746610387817,6.340128479561243,6.340128479661243,7.243728399191363,7.243728399291363,8.103888173616904,8.103888173716904,8.938006310607141,8.938006310707141,9.749899257027595,9.749899257127595,10.54327121130656,10.54327121140656,11.30903005002913,11.30903005012913,12.072431671570053,12.072431671670053,12.835721044673756,12.835721044773756,13.589693797488104,13.589693797588104,14.332666203454782,14.332666203554782,15.073281392239817,15.073281392339817,15.794814346697258,15.794814346797258,16.51320434491251,16.513204345012507,17.22890038063445,17.228900380734448,17.93943298824422,17.93943298834422,18.63694477713634,18.636944777236337,19.307404692658167,19.307404692758166,19.965068286336784,19.965068286436782,20.619813420647652,20.61981342074765,21.91774210023561,21.91774210033561,22.558343931456616,22.558343931556614,23.19423132831433,23.19423132841433,23.829108489237058,23.829108489337056,24.458709973610393,24.45870997371039,25.087413470485956,25.087413470585954,25.710167800188803,25.7101678002888,26.33236088770554,26.33236088780554,26.936930970578562,26.93693097067856,27.533755911283325,27.533755911383324,28.115764058274898,28.115764058374896,28.691037299033205,28.691037299133203,29.26619829135429,29.266198291454288,29.81801160873338,29.818011608833377,30.363651262065304,30.363651262165302,30.905586716968934,30.905586717068932,31.433154371908255,31.433154372008254,31.959936287787034,31.959936287887032,32.481330278679195,32.4813302787792,33.001938530510806,33.00193853061081,33.52142429797021,33.521424298070215,34.03743036387576,34.03743036397576,34.55321193290686,34.553211933006864,35.06753427225409,35.067534272354095,35.579050400670795,35.5790504007708,36.0773212134954,36.077321213595404,36.56694889665398,36.566948896753985,37.04950492826764,37.04950492836764,37.52656078645745,37.526560786557454,38.00305540246116,38.00305540256116,38.47842753409266,38.47842753419266,38.952228187603055,38.95222818770306,39.42456961142958,39.424569611529584,39.89421707276281,39.89421707286281,40.36296654659826,40.36296654669826,40.82722608294486,40.82722608304486,41.28542420368152,41.285424203781524,42.200922457657086,42.20092245775709,42.65395715028158,42.65395715038158,43.106655097594405,43.10665509769441,43.5581183120978,43.5581183121978,44.00250987505626,44.002509875156264,44.44488096614475,44.44488096624475,44.88455809473992,44.884558094839925,45.3215412608418,45.3215412609418,45.75796318475756,45.75796318485756,46.19337487273833,46.19337487283833,46.62699058572357,46.62699058582357,47.057800087778276,47.05780008787828,47.48748710546077,47.487487105560774,47.91661288095717,47.91661288105717,48.34484066895579,48.34484066905579,48.76992550071222,48.76992550081222,49.1942245934081,49.1942245935081,49.616952207982884,49.616952208082886,50.03945532568323,50.03945532578323,50.45701951214584,50.45701951224584,50.86706305331464,50.86706305341464,51.26992269450128,51.269922694601284,51.6662719263291,51.666271926429104,52.05756997848197,52.057569978581974,52.442918863462126,52.44291886356213,52.82624727657229,52.82624727667229,53.208228708435804,53.208228708535806,53.58976114655044,53.58976114665044,53.96916086435787,53.96916086445787,54.34743809779308,54.34743809789308,54.72526633747942,54.72526633757942,55.10298232872853,55.10298232882853,55.4789023449821,55.478902345082105,55.85325088311458,55.853250883214585,56.22726267593539,56.227262676035394,56.596896779704586,56.59689677980459,56.966306386599335,56.96630638669934,57.335266999745194,57.335266999845196,57.70321737695607,57.70321737705607,58.05938166825872,58.059381668358725,58.41273974863085,58.41273974873085,58.76452635088188,58.76452635098188,59.11608845625847,59.11608845635847,59.46607908351396,59.46607908361396,59.80854906547564,59.80854906557564,60.15079455056287,60.15079455066287,60.48798885597515,60.487988856075155,60.82507091295022,60.82507091305022,61.159122262120306,61.15912226222031,61.49227562379263,61.49227562389263,61.82520448859051,61.82520448869051,62.15790885651395,62.15790885661395,62.48241908852024,62.48241908862024,62.80457210334489,62.80457210344489,63.11942896975017,63.11942896985017,63.43293885490879,63.43293885500879,63.74375477757411,63.74375477767411,64.04974401743891,64.04974401753891,64.35494751824318,64.35494751834318,64.65970202529856,64.65970202539856,64.96344629641894,64.96344629651894,65.26584358629268,65.26584358639268,65.56767963398029,65.56767963408029,65.8672707129235,65.8672707130235,66.46499364112603,66.46499364122603,66.76301324194814,66.76301324204815,67.05845112871415,67.05845112881416,67.35265428267076,67.35265428277076,67.64674518819012,67.64674518829013,67.93971360933728,67.93971360943728,68.52553820319437,68.52553820329437,68.8173841399693,68.81738414006931,69.10765859862316,69.10765859872316,69.39714731821647,69.39714731831647,69.68562580187478,69.68562580197478,69.97331854647254,69.97331854657254,70.2604500488842,70.2604500489842,70.54702030910974,70.54702030920974,70.83190684277699,70.83190684287699,71.11656887956977,71.11656887966977,71.4003329288648,71.4003329289648,71.68331123909927,71.68331123919927,71.96516706496153,71.96516706506154,72.23759402209723,72.23759402219723,72.50957198548403,72.50957198558403,73.05319116694598,73.05319116704598,73.32404664596058,73.32404664606058,73.59288165310518,73.59288165320518,73.86003293369149,73.86003293379149,74.12583723303112,74.12583723313112,74.39152928393355,74.39152928403355,74.65710908639875,74.65710908649875,74.92111741074285,74.92111741084285,75.18467674133807,75.18467674143807,75.44711358756108,75.44711358766108,75.70842794941187,75.70842794951187,75.969405565951,75.96940556605101,76.49057505996873,76.49057506006874,76.74672599370736,76.74672599380736,77.25812987368684,77.25812987378684,77.51270932930436,77.51270932940436,77.76717653648467,77.76717653658467,78.02108250147887,78.02108250157887,78.27409047897531,78.27409047907531,78.5253024814762,78.5253024815762,78.7743817636699,78.7743817637699,79.27141784368507,79.27141784378507,79.51870115088323,79.51870115098323,79.76497422214639,79.7649742222464,80.01034930591179,80.01034930601179,80.25493865061664,80.25493865071664,80.49885450469816,80.49885450479816,80.74164787440746,80.74164787450746,80.98410449880511,80.98410449890511,81.22375491227223,81.22375491237223,81.46329307730213,81.46329307740213,81.69890254702929,81.6989025471293,81.9321547995748,81.9321547996748,82.16518255524588,82.16518255534588,82.39753682029362,82.39753682039363,82.62831960722026,82.62831960732026,82.85887789727248,82.85887789737248,83.08932393888746,83.08932393898746,83.31584128519971,83.31584128529971,83.54168514088863,83.54168514098863,83.76606976689366,83.76606976699367,83.98809717571707,83.98809717581707,84.20933884547992,84.20933884557992,84.42878454024724,84.42878454034724,84.64811798657733,84.64811798667733,84.86240025323248,84.86240025333248,85.07645802301317,85.07645802311318,85.28860756936112,85.28860756946112,85.49952238289963,85.49952238299963,85.71021269956368,85.71021269966369,85.91809680529722,85.91809680539723,86.12541966884466,86.12541966894466,86.33240578708043,86.33240578718043,86.53647344594845,86.53647344604845,86.73997986263036,86.73997986273037,86.94314953400061,86.94314953410061,87.14609470849642,87.14609470859642,87.55086257311582,87.55086257321582,87.75223626949054,87.75223626959054,88.15341218411886,88.15341218421887,88.35209191800027,88.35209191810027,88.55021040969557,88.55021040979557,88.74810440451643,88.74810440461643,88.94510041183952,88.94510041193952,89.1405249410415,89.1405249411415,89.53002701819884,89.53002701829884,89.72399231771696,89.72399231781696,89.9164983875512,89.9164983876512,90.10855546363656,90.10855546373656,90.29915331003804,90.29915331013804,90.48851642363009,90.48851642373009,90.67754279191048,90.67754279201048,90.86555892425588,90.86555892435588,91.0532383112896,91.0532383113896,91.23743799676949,91.23743799686949,91.42141318537493,91.42141318547493,91.60527612554314,91.60527612564314,91.78902681727413,91.78902681737414,91.97255301213069,91.97255301223069,92.15506897105224,92.15506897115225,92.33724818466214,92.33724818476215,92.51897840452317,92.51897840462317,92.69992288532363,92.69992288542363,92.88019387550077,92.88019387560077,93.06035261724068,93.06035261734068,93.2399501167945,93.2399501168945,93.41808838666444,93.41808838676444,93.59521642059939,93.59521642069939,93.77189546078544,93.77189546088545,93.94722751972486,93.94722751982486,94.12154934272928,94.12154934282928,94.64294333362143,94.64294333372143,94.8153569331931,94.8153569332931,94.98754603589032,94.98754603599032,95.15771466671755,95.15771466681755,95.32765880067035,95.32765880077035,95.49715394087426,95.49715394097426,95.6663123357665,95.66631233586651,95.8341237494121,95.8341237495121,96.00182291462048,96.00182291472048,96.1278779096198,96.1278779097198,96.23877936559428,96.23877936569428,96.34249692158662,96.34249692168662,96.5214209305171,96.5214209306171,96.57372870226214,96.57372870236215,96.62266902089056,96.62266902099056,96.66902762546289,96.66902762556289,96.68620163635772,96.68620163645772,96.70169192069423,96.70169192079423,96.71617196909575,96.71617196919576,96.72986627843675,96.72986627853675],[0.0,1e-10,3.973590240046093,3.973590240146093,7.63879863060504,7.63879863070504,10.89117865780535,10.89117865790535,14.04869257619102,14.04869257629102,17.163195165580216,17.163195165680214,20.250698431627395,20.250698431727393,22.837474792815367,22.837474792915366,25.340305367036706,25.340305367136704,27.479415528295693,27.47941552839569,29.582079952834928,29.582079952934926,31.67844676845568,31.678446768555677,33.76670708748987,33.76670708758987,35.631000314880446,35.63100031498045,37.37972571903285,37.37972571913285,39.104064637586006,39.10406463768601,40.79061790262825,40.79061790272825,42.47114154211023,42.47114154221023,44.10014538097184,44.10014538107184,45.65732967982688,45.65732967992688,47.141220530205075,47.14122053030508,48.56153232884238,48.561532328942384,49.92583560560889,49.92583560570889,51.288396990546886,51.28839699064689,52.64405780401037,52.644057804110375,53.96608670601556,53.96608670611556,55.24034757441563,55.24034757451563,56.31033812800225,56.31033812810225,57.37101625989026,57.37101625999026,58.42620073293448,58.426200733034484,59.47100085084716,59.47100085094716,60.49985595894495,60.49985595904495,61.50767437342141,61.50767437352141,62.474826313285945,62.47482631338595,63.41859670514461,63.41859670524461,64.31821683873432,64.31821683883432,65.17321774317814,65.17321774327814,65.98373341015522,65.98373341025523,66.78902340164676,66.78902340174676,67.56302633606452,67.56302633616453,68.3281858196606,68.3281858197606,69.09307731989844,69.09307731999844,69.84818742756075,69.84818742766075,70.56839270281316,70.56839270291316,71.280491481479,71.280491481579,71.99017840992074,71.99017841002075,72.69390270864179,72.69390270874179,73.37927014732385,73.37927014742385,74.05264533072496,74.05264533082496,74.66934203385969,74.6693420339597,75.26647595184339,75.26647595194339,75.83707951736197,75.83707951746197,76.39984456965223,76.39984456975223,76.91906232622954,76.91906232632954,77.42488091489518,77.42488091499519,77.89264586669168,77.89264586679168,78.35712802234981,78.35712802244981,78.80097545942397,78.80097545952397,79.24314800050917,79.24314800060917,79.67574013653753,79.67574013663753,80.10719334329337,80.10719334339338,80.5239074653464,80.5239074654464,80.93981763732472,80.93981763742472,81.349363204545,81.349363204645,81.75683190073896,81.75683190083896,82.16302767598133,82.16302767608133,82.56225588390961,82.56225588400962,82.93595867696617,82.93595867706617,83.29967908992852,83.29967909002852,83.65984872339428,83.65984872349428,84.00802610157909,84.00802610167909,84.35586850056612,84.35586850066612,84.68488506863724,84.68488506873724,85.01175776984249,85.01175776994249,85.33842948352907,85.33842948362907,85.65806663406202,85.65806663416203,85.96296469989214,85.96296469999214,86.25761240226981,86.25761240236982,86.54482356645653,86.54482356655653,86.82828296362796,86.82828296372796,87.09070566717807,87.09070566727807,87.35232442065347,87.35232442075348,87.61307222821463,87.61307222831464,87.86792440189464,87.86792440199464,88.11607699161883,88.11607699171883,88.36355962294742,88.36355962304742,88.6041416828015,88.6041416829015,88.83460737088227,88.83460737098227,89.06460408808613,89.06460408818613,89.28200558745301,89.28200558755302,89.49645926987934,89.49645926997934,89.69664283847973,89.69664283857973,89.88610707275078,89.88610707285078,90.074030402712,90.074030402812,90.25753200726236,90.25753200736236,90.41631214701567,90.41631214711568,90.57214446982843,90.57214446992843,90.72744082592472,90.72744082602472,90.87248681856856,90.87248681866856,91.01686285281684,91.01686285291684,91.16016695363219,91.16016695373219,91.29650348713345,91.29650348723345,91.41917286936481,91.41917286946482,91.5340707342074,91.5340707343074,91.64709271554237,91.64709271564237,91.75964572600041,91.75964572610042,91.87099281134641,91.87099281144641,91.98193792165506,91.98193792175506,92.08819332319463,92.08819332329463,92.19391275801773,92.19391275811773,92.29675137173982,92.29675137183982,92.37560547490001,92.37560547500001,92.4520477278361,92.4520477279361,92.51113805832658,92.51113805842658,92.5445689822662,92.5445689823662,92.57773192284759,92.57773192294759,92.61035889671251,92.61035889681251,92.64023904115554,92.64023904125554,92.6699181980799,92.6699181981799,92.69705151310103,92.69705151320103,92.72244293629366,92.72244293639366,92.73577510836577,92.73577510846577,92.7479683511654,92.7479683512654,92.75587386023328,92.75587386033328,92.76351138594293,92.76351138604294,92.76994298654054,92.76994298664054,92.77597261210079,92.77597261220079],[0.0,1e-10,1.0237745804371265,1.0237745805371266,1.9070179908827205,1.9070179909827205,2.768452922058053,2.768452922158053,3.592279353267322,3.592279353367322,4.378831087764664,4.378831087864664,5.109748946572564,5.109748946672564,5.789928710751692,5.789928710851692,6.463432409848086,6.463432409948086,7.133486808651735,7.133486808751735,7.799201765151608,7.799201765251608,8.453456143259455,8.453456143359455,9.09413585569908,9.09413585579908,9.726693022288043,9.726693022388043,10.343227632678449,10.343227632778449,10.959317172063338,10.959317172163338,11.550705270642116,11.550705270742116,12.138532801176767,12.138532801276767,12.722577228164539,12.722577228264539,13.27257372323037,13.27257372333037,13.818675846997941,13.818675847097941,14.360661063964493,14.360661064064493,14.879725124146994,14.879725124246994,15.398455381075358,15.398455381175358,15.904834917600667,15.904834917700667,16.403425711529454,16.403425711629453,16.90079256019307,16.90079256029307,17.390370666260168,17.390370666360166,17.875275526769354,17.875275526869352,18.359401513018884,18.359401513118883,18.832400724130526,18.832400724230524,19.2983900669053,19.298390067005297,19.76081884163595,19.760818841735947,20.220354654830746,20.220354654930745,20.67610736447866,20.67610736457866,21.130636128861408,21.130636128961406,21.5707000855649,21.5707000856649,22.007871080732542,22.00787108083254,22.434805442773328,22.434805442873326,22.855397542985514,22.855397543085513,23.275322036689428,23.275322036789426,23.69446765613369,23.694467656233687,24.106937210495218,24.106937210595216,24.51829408734296,24.518294087442957,24.928983357682426,24.928983357782425,25.336223327729147,25.336223327829146,25.73812244570968,25.73812244580968,26.13479197937541,26.13479197947541,26.52523051896392,26.525230519063918,26.910550741989,26.910550742088997,27.294869555251672,27.29486955535167,27.678965833011585,27.678965833111583,28.061504362252194,28.061504362352192,28.436587952150415,28.436587952250413,28.81078140003761,28.810781400137607,29.18208188638895,29.182081886488948,29.553048569486155,29.553048569586153,29.9237927170806,29.9237927171806,30.289196012608862,30.28919601270886,30.65304155961782,30.653041559717817,31.01343780633403,31.013437806434027,31.373500249796102,31.3735002498961,31.732561283495766,31.732561283595764,32.08950822991923,32.089508230019234,32.43966784350858,32.43966784360858,32.788937315086905,32.78893731518691,33.13553636063214,33.13553636073214,33.47935371239289,33.479353712492895,33.81838655084436,33.81838655094436,34.15374755350032,34.15374755360032,34.48799587864249,34.48799587874249,34.822021668281906,34.82202166838191,35.15204181887168,35.15204181897168,35.47961407893112,35.47961407903112,35.807075071239176,35.80707507133918,36.132978315027934,36.132978315127936,36.458547755562556,36.45854775566256,36.780779163555806,36.78077916365581,37.10045141326734,37.100451413367345,37.41990112747612,37.419901127576125,37.737236754408706,37.73723675450871,38.05256956181647,38.05256956191647,38.363340391417694,38.363340391517696,38.67288727575376,38.67288727585376,38.98121021482465,38.98121021492465,39.28931061839278,39.289310618492784,39.59407298941955,39.59407298951955,40.20304139271619,40.20304139281619,40.50646855072641,40.50646855082641,40.80933936997974,40.80933937007974,41.11209892148169,41.11209892158169,41.41341199221571,41.41341199231571,41.714391259695596,41.7143912597956,42.01347897540204,42.01347897550204,42.311120210340555,42.311120210440556,42.60586848374322,42.605868483843224,42.89939281188072,42.899392811980725,43.48566259389607,43.485662593996075,43.778185512271165,43.77818551237117,44.07004082413798,44.070040824237985,44.36067219073963,44.36067219083963,44.65108102183852,44.65108102193852,44.937929284893286,44.93792928499329,45.22344233493151,45.223442335031514,45.507620171953185,45.50762017205319,45.79090786696383,45.79090786706383,46.07397302647171,46.073973026571714,46.35459029544926,46.354590295549265,46.63498502892405,46.63498502902405,46.915045959144706,46.91504595924471,47.194884353862605,47.19488435396261,47.473832606569474,47.473832606669475,47.7487752202267,47.7487752203267,48.02305022737565,48.02305022747565,48.57148897392218,48.57148897402218,48.84376116154631,48.84376116164631,49.115031939408034,49.115031939508036,49.38496750425321,49.38496750435321,49.6537903915846,49.6537903916846,49.922279475661846,49.92227947576185,50.19032348873358,50.190323488833585,50.457922430799805,50.457922430899806,50.72529883736327,50.72529883746327,50.99167383416432,50.99167383426432,51.2573812244571,51.2573812245571,51.52253227599298,51.52253227609298,51.785012901495776,51.78501290159578,52.047382259247186,52.04738225934719,52.30941781374446,52.30941781384446,52.571342100490355,52.57134210059036,52.83015089019764,52.830150890297645,53.08795827014252,53.087958270242524,53.34509804357913,53.34509804367913,53.85592829015959,53.85592829025959,54.36308670094455,54.36308670104455,54.86935496971848,54.86935496981848,55.121932765348554,55.121932765448555,55.37362041896759,55.37362041906759,55.62508553708387,55.62508553718387,55.875660513189125,55.87566051328913,56.12478900852645,56.12478900862645,56.3732498973555,56.3732498974555,56.6209319119249,56.6209319120249,56.86816885548878,56.868168855588785,57.11496072804715,57.11496072814715,57.36153006510276,57.361530065202764,57.6074317956501,57.6074317957501,57.85244338418641,57.85244338428641,58.096898633965814,58.096898634065816,58.3404637417342,58.3404637418342,58.58380631399982,58.583806314099824,58.82692635076268,58.826926350862685,59.06982385202279,59.069823852122795,59.31238755002876,59.31238755012876,59.5540611060237,59.554061106123704,60.036963147008066,60.03696314710807,60.277524025489214,60.277524025589216,60.51797363621899,60.51797363631899,60.75764437268911,60.75764437278911,61.236429506872454,61.236429506972456,61.47431995932051,61.47431995942051,61.711542805260294,61.711542805360295,61.94854311569732,61.94854311579732,62.18476455187469,62.184764551974695,62.42076345254931,62.42076345264931,62.892316182893026,62.89231618299303,63.12731367380523,63.127313673905235,63.36219989696606,63.36219989706606,63.596641049121374,63.596641049221375,63.83041459476841,63.830414594868415,64.06140644663098,64.06140644673098,64.29128562097976,64.29128562107977,64.52071972432302,64.52071972442302,64.74993129216352,64.74993129226353,64.97847525349576,64.97847525359576,65.20601780506557,65.20601780516557,65.66054656944833,65.66054656954833,65.88731024675849,65.88731024685849,66.11362885306315,66.11362885316315,66.338834781854,66.338834781954,66.5633731041366,66.5633731042366,66.7878001586678,66.78780015876781,67.01189340994489,67.01189341004489,67.23554159021644,67.23554159031644,67.68205907649991,67.68205907659991,67.90448331150631,67.90448331160631,68.12568360124753,68.12568360134753,68.346661355486,68.34666135558601,68.56719403871895,68.56719403881895,69.00770306642796,69.00770306652797,69.22712307214712,69.22712307224712,69.44587547135801,69.44587547145801,69.66396026406063,69.66396026416064,70.09979604621172,70.09979604631172,70.31676816140055,70.31676816150055,70.53318393783248,70.53318393793248,70.74692928823131,70.74692928833132,70.96034083537603,70.96034083547603,71.17364111476935,71.17364111486935,71.3862737876544,71.3862737877544,71.59823885403118,71.59823885413118,71.80975884940244,71.80975884950244,72.01994363175716,72.01994363185716,72.22923827210083,72.22923827220083,72.43842164469314,72.43842164479314,72.64526839450649,72.64526839460649,72.8517813410657,72.8517813411657,73.05818301987354,73.05818301997354,73.26447343092998,73.26447343102998,73.47020750322955,73.47020750332955,73.6749401657667,73.6749401658667,73.87956156055246,73.87956156065246,74.0832928133272,74.0832928134272,74.28646772734506,74.28646772744506,74.48930883810876,74.48930883820876,74.69170487786695,74.69170487796696,74.89276570460859,74.8927657047086,75.09238005058232,75.09238005068232,75.29177186105328,75.29177186115328,75.69022167874107,75.69022167884107,75.88883461495239,75.88883461505239,76.08722501566093,76.08722501576094,76.28528161311536,76.28528161321536,76.48300440731563,76.48300440741563,76.67983705950488,76.67983705960488,76.87555703418035,76.87555703428035,77.07072067009891,77.07072067019891,77.26510543175782,77.26510543185782,77.45937892566535,77.45937892576535,77.65176086779945,77.65176086789945,77.84336393567389,77.8433639357739,78.03429939704006,78.03429939714006,78.41605905202101,78.41605905212101,78.60621563912753,78.60621563922753,78.79614969073128,78.79614969083129,78.9857499390809,78.9857499391809,79.17412624216536,79.17412624226536,79.36216874199567,79.36216874209568,79.54998870632323,79.54998870642324,79.92529483172422,79.92529483182422,80.11222465404074,80.11222465414075,80.29870940535176,80.29870940545176,80.48463781790588,80.48463781800588,80.85504816224618,80.85504816234618,81.22345568706167,81.22345568716167,81.40715874458822,81.40715874468822,81.59075053436338,81.59075053446338,81.77389725313301,81.77389725323302,81.9552636878806,81.9552636879806,82.13651885487681,82.13651885497681,82.31755148637026,82.31755148647026,82.49847285011232,82.49847285021232,82.8585352935744,82.85853529367441,83.21592731100338,83.21592731110339,83.39373317770684,83.39373317780684,83.74867730460548,83.74867730470548,83.9257042970493,83.9257042971493,84.10262002174171,84.10262002184172,84.27920194318001,84.27920194328001,84.45556132911554,84.45556132921554,84.63169817954832,84.63169817964832,84.9838606126625,84.9838606127625,85.33557797477116,85.33557797487116,85.51093595094427,85.51093595104427,85.68618265936603,85.68618265946603,86.03556339869571,86.03556339879572,86.20947489410092,86.20947489420092,86.38316385400336,86.38316385410336,86.55651901065166,86.55651901075166,86.72954036404583,86.72954036414583,86.90133777217483,86.90133777227483,87.07302391255244,87.07302391265245,87.24437624967594,87.24437624977594,87.41561731904804,87.41561731914804,87.58518937214946,87.58518937224946,87.75442762199674,87.75442762209674,87.92277572983299,87.922775729933,88.0903449634096,88.09034496350961,88.25758039373207,88.25758039383207,88.4239256820435,88.4239256821435,88.59015970260356,88.59015970270356,88.75450217139017,88.75450217149017,88.91873337242541,88.91873337252541,89.0826307702065,89.08263077030651,89.24619436473347,89.24619436483347,89.40953542375767,89.40953542385768,89.5664229532019,89.5664229533019,89.72308794714337,89.72308794724337,89.87596983753795,89.87596983763795,90.02573623089394,90.02573623099394,90.17238712721131,90.17238712731131,90.31670140074972,90.31670140084972,90.4585677837578,90.4585677838578,90.59097640789868,90.59097640799868,90.71737657346509,90.71737657356509,90.96884169158137,90.96884169168138,91.08188972698233,91.08188972708233,91.19427015587499,91.19427015597499,91.30142100045286,91.30142100055286,91.40423240272695,91.40423240282695,91.4899085712887,91.4899085713887,91.57124529754665,91.57124529764666,91.6511355430367,91.6511355431367,91.72345958143298,91.72345958153298,91.78643712871342,91.78643712881342,91.84852453398284,91.84852453408284,91.90504855168331,91.90504855178331,91.95923594660484,91.95923594670484,92.01231066401256,92.01231066411256,92.06505157816615,92.06505157826615,92.11089389173425,92.11089389183425,92.15640240204822,92.15640240214822,92.18811371119119,92.1881137112912,92.21581938128455,92.21581938138455,92.24285744486961,92.24285744496962,92.2655560661509,92.26555606625091,92.28324763862015,92.28324763872016,92.29593216227734,92.29593216237734,92.30550118889592,92.30550118899592],[0.0,1e-10,2.1342021721790494,2.1342021722790494,3.801989300107048,3.801989300207048,5.332002708771429,5.332002708871429,6.7357952345778855,6.7357952346778855,8.1000131505691,8.1000131506691,9.388646019863504,9.388646019963504,10.670765055865338,10.670765055965338,11.920683632949181,11.920683633049181,13.157328738417974,13.157328738517974,14.311752061382432,14.311752061482432,15.427461092136328,15.427461092236328,16.531985994029395,16.531985994129393,17.604433339519428,17.604433339619426,18.654881134832664,18.654881134932662,19.671653641048458,19.671653641148456,20.680560386307185,20.680560386407183,21.67103175432279,21.67103175442279,22.598699937196816,22.598699937296814,23.507195327737993,23.50719532783799,24.36517778463301,24.365177784733007,25.17461374812113,25.174613748221127,25.968195287180162,25.96819528728016,26.70352103415092,26.70352103425092,27.43552841321792,27.43552841331792,28.164463229411062,28.16446322951106,28.867342712433924,28.867342712533922,29.569976390426877,29.569976390526875,30.26339237979827,30.263392379898267,30.943780702584515,30.943780702684514,31.606471063217366,31.606471063317365,32.25637956229498,32.25637956239498,32.906042256342694,32.906042256442696,33.53395120524351,33.53395120534351,34.15878759127048,34.15878759137048,34.76801535789827,34.76801535799827,35.373310244047524,35.373310244147525,35.97270580947898,35.97270580957898,36.57013493467117,36.57013493477117,37.1628937642951,37.1628937643951,37.74975327320123,37.74975327330123,38.33476924438305,38.33476924448305,38.91536072502652,38.91536072512652,39.485505491898884,39.485505491998886,40.05380672104693,40.053806721146934,40.613873481693055,40.61387348179306,41.16312482102321,41.16312482112321,41.71090133017392,41.71090133027392,42.25818622926481,42.25818622936481,42.80448790823607,42.80448790833607,43.345750584094205,43.34575058419421,43.88185135432426,43.88185135442426,44.41598568431506,44.41598568441506,44.943360375983374,44.943360376083376,45.46151737903013,45.46151737913013,45.96787574064128,45.967875740741285,46.46722865890005,46.46722865900005,46.954045520633485,46.95404552073349,47.43348823146968,47.43348823156968,47.91133320961147,47.91133320971147,48.38524530727472,48.385245307374724,48.85841998984825,48.85841998994825,49.32987403721242,49.32987403731242,49.79186459092512,49.791864591025124,50.24549777362094,50.24549777372094,50.69704161356254,50.69704161366254,51.14551289063028,51.14551289073028,51.58722452937555,51.58722452947555,52.02795294800117,52.02795294810117,52.46450268111836,52.46450268121836,52.90031499914583,52.90031499924583,53.3334234618443,53.3334234619443,53.76038679879506,53.76038679889506,54.180590497423346,54.18059049752335,54.59636970551328,54.596369705613284,55.00624959288542,55.00624959298542,55.41379433247342,55.413794332573424,55.81912682679226,55.81912682689226,56.22359900350641,56.22359900360641,56.62536732489157,56.62536732499157,57.026398231187,57.026398231287004,57.42103820670482,57.42103820680482,57.81457205958805,57.814572059688054,58.20245239678339,58.202452396883395,58.589226611344145,58.58922661144415,58.975877923389945,58.975877923489946,59.35638410968804,59.35638410978804,59.73627578341136,59.73627578351136,60.113463601805684,60.113463601905686,60.48905368750561,60.48905368760561,60.86439796817562,60.864397968275625,61.23310551303811,61.23310551313811,61.599969520176295,61.5999695202763,61.966464819769605,61.96646481986961,62.33197689924329,62.33197689934329,62.69023773033467,62.690237730434674,63.04186182561854,63.04186182571854,63.39115077311827,63.39115077321827,63.73380298481048,63.73380298491048,64.07584068392792,64.07584068402792,64.41738677298554,64.41738677308554,64.75598320168426,64.75598320178426,65.09371931277829,65.09371931287829,65.43096381381253,65.43096381391253,65.7667334846673,65.7667334847673,66.10176574043234,66.10176574053234,66.43556897104786,66.43556897114786,66.75941709795208,66.75941709805208,67.07908653934786,67.07908653944786,67.39433149020529,67.39433149030529,67.70662678070381,67.70662678080382,68.01621821587335,68.01621821597335,68.32544094349802,68.32544094359803,68.63404915854794,68.63404915864794,68.94228866605297,68.94228866615298,69.24807012325893,69.24807012335893,69.55077901759104,69.55077901769104,69.85213598425865,69.85213598435865,70.15250973080663,70.15250973090663,70.4453864239424,70.4453864240424,70.73740279947349,70.73740279957349,71.02843595488494,71.02843595498494,71.31578203484779,71.31578203494779,71.89035129225849,71.89035129235849,72.1724125640783,72.1724125641783,72.45103256547938,72.45103256557938,72.72670290652158,72.72670290662158,73.00225034504881,73.00225034514881,73.27091524273861,73.27091524283861,73.5390885303686,73.5390885304686,73.80566408530417,73.80566408540417,74.06928997988086,74.06928997998087,74.3319326543379,74.3319326544379,74.59260888855569,74.59260888865569,74.85217900013888,74.85217900023888,75.11052008657254,75.11052008667254,75.36738634282673,75.36738634292674,75.62339228147626,75.62339228157626,75.87915241509587,75.87915241519588,76.13294610847622,76.13294610857622,76.3861252892818,76.3861252893818,76.63733802984811,76.63733802994811,76.88695303772,76.88695303782,77.13570772798724,77.13570772808724,77.38433951573951,77.38433951583951,77.63186518085719,77.63186518095719,77.87865343088515,77.87865343098515,78.12507297336825,78.12507297346825,78.36903446555228,78.36903446565228,78.61090661498206,78.61090661508206,78.85253295938195,78.85253295948195,79.09354479120707,79.09354479130707,79.33443372051723,79.33443372061723,79.57507684479748,79.57507684489748,79.81436804141323,79.81436804151323,80.04997216258036,80.04997216268036,80.28360984350823,80.28360984360823,80.51700171940618,80.51700171950618,80.75002488775928,80.75002488785928,80.98267934856752,80.98267934866752,81.21189253895703,81.21189253905703,81.44061411928672,81.44061411938672,81.66773796692202,81.66773796702202,81.89375569192272,81.89375569202272,82.1185443917739,82.1185443918739,82.56799888896127,82.56799888906127,82.79229597875262,82.79229597885262,83.00835860004203,83.00835860014203,83.22306929366695,83.22306929376695,83.43741127974701,83.43741127984701,83.65138455828222,83.65138455838222,83.8648662267576,83.8648662268576,84.07711887008344,84.07711887018344,84.28912570837937,84.28912570847938,84.50088674164539,84.50088674174539,84.71252487239646,84.71252487249646,84.92293397799799,84.92293397809799,85.13223696096493,85.13223696106493,85.55047421935394,85.55047421945395,85.75879398220125,85.75879398230126,85.96600762241398,85.96600762251398,86.17309836011174,86.17309836021174,86.37945168271979,86.37945168281979,86.58568210281287,86.58568210291287,86.791789620391,86.791789620491,86.99679101533455,86.99679101543455,87.20056338512855,87.20056338522855,87.40322963228796,87.40322963238796,87.60442104926793,87.60442104936793,87.80512085618808,87.80512085628808,88.00520615053345,88.00520615063346,88.20467693230407,88.20467693240407,88.40390190904476,88.40390190914476,88.60300398327051,88.60300398337051,88.8019831549813,88.8019831550813,89.00083942417713,89.00083942427713,89.19920408331316,89.19920408341316,89.39744583993422,89.39744584003422,89.5948272789506,89.5948272790506,89.79208581545204,89.79208581555204,90.18647998593995,90.18647998603996,90.38115756962735,90.38115756972735,90.57522064073997,90.57522064083997,90.76817758921801,90.76817758931801,90.9596597075166,90.9596597076166,91.15065021575536,91.15065021585536,91.34114911393432,91.34114911403432,91.72190110526232,91.72190110536232,91.9117854908665,91.91178549096651,92.10154697395573,92.10154697405574,92.29069394447019,92.2906939445702,92.66775886034956,92.66775886044957,92.85555390319952,92.85555390329952,93.04310314101957,93.04310314111957,93.22942335369008,93.22942335379008,93.41525195630078,93.41525195640078,93.6004660463367,93.60046604643671,93.78518852631281,93.78518852641281,94.15438768123512,94.15438768133512,94.33849564863645,94.33849564873645,94.5214974934032,94.5214974935032,94.70240999541574,94.70240999551574,94.88037283706936,94.88037283716936,95.05673794602859,95.05673794612859,95.2269579292401,95.2269579293401,95.38316702574684,95.38316702584684,95.51541013183753,95.51541013193753,95.62172080727288,95.62172080737288,95.68157433205556,95.68157433215556,95.73257887576153,95.73257887586153,95.78210858928806,95.78210858938806,95.79697979359752,95.79697979369752,95.81148229036211,95.81148229046211,95.82549317706689,95.82549317716689,95.83839794113707,95.83839794123708],[0.0,1e-10,6.315058245164049,6.315058245264049,12.328356158109283,12.328356158209283,17.73599596940411,17.73599596950411,22.304004641292234,22.304004641392233,26.48025160689476,26.48025160699476,30.50306111543688,30.503061115536877,34.30250843524328,34.302508435343285,37.89958625322524,37.89958625332524,41.320478175239316,41.32047817533932,44.2589199835112,44.2589199836112,47.172704926792775,47.17270492689278,49.81656208491733,49.81656208501733,52.212400189315865,52.21240018941587,54.42579276019481,54.42579276029481,56.4183422647674,56.418342264867405,58.299516023145394,58.299516023245396,59.99030519549917,59.99030519559917,61.60842150261836,61.608421502718365,63.16096428953114,63.16096428963114,64.65289546405289,64.65289546415289,66.0029924120979,66.0029924121979,67.33255469549154,67.33255469559154,68.65524664498695,68.65524664508695,69.96335821920945,69.96335821930946,71.2711644452587,71.2711644453587,72.57706224522512,72.57706224532512,73.83479137086063,73.83479137096063,74.91954075634743,74.91954075644743,75.95077787447137,75.95077787457137,76.96667124688926,76.96667124698926,77.83821127040108,77.83821127050108,78.67997984702056,78.67997984712056,79.50060306264218,79.50060306274219,80.2950426724072,80.29504267250721,81.07589428846242,81.07589428856242,81.72605688636467,81.72605688646468,82.34270752225225,82.34270752235226,82.95111375746194,82.95111375756194,83.54272584314265,83.54272584324265,84.07578741660178,84.07578741670179,84.5863295622834,84.5863295623834,85.09015404815341,85.09015404825341,85.58306233682957,85.58306233692957,86.04971068260583,86.04971068270584,86.46414449075559,86.46414449085559,86.85315806348189,86.85315806358189,87.2304920685812,87.2304920686812,87.5719476633231,87.5719476634231,87.90111299409152,87.90111299419152,88.19920914823128,88.19920914833128,88.49142735003588,88.49142735013588,88.76921785065421,88.76921785075422,89.03754255790165,89.03754255800165,89.29960762759737,89.29960762769737,89.54732133315012,89.54732133325012,89.7632024916411,89.7632024917411,89.97824394265561,89.97824394275561,90.16939189911297,90.16939189921297,90.35786805905434,90.35786805915434,90.53794714423121,90.53794714433121,90.71611780332525,90.71611780342525,90.89367776607277,90.89367776617277,91.06055054275637,91.06055054285638,91.19039985343288,91.19039985353288,91.30444739614346,91.30444739624346,91.41681552390112,91.41681552400112,91.51406891708271,91.51406891718271,91.58574940075421,91.58574940085421,91.65628482877601,91.65628482887601,91.71460632986764,91.71460632996764,91.76781324905724,91.76781324915724,91.80590543367074,91.80590543377075,91.84002809203194,91.84002809213194,91.87094459457396,91.87094459467396,91.89216629261516,91.89216629271516,91.91224293500665,91.91224293510665,91.92743400662606,91.92743400672606,91.9388845631231,91.9388845632231,91.95018244553351,91.95018244563352,91.96132765385731,91.96132765395731],[0.0,1e-10,4.524647954932087,4.524647955032087,8.212336841943573,8.212336842043573,11.537228261913082,11.537228262013082,14.561436520523642,14.561436520623642,17.511338020867335,17.511338020967333,20.3506434158836,20.350643415983598,22.984501184683975,22.984501184783973,25.5510604553641,25.5510604554641,27.916876274447308,27.916876274547306,30.206753274681557,30.206753274781555,32.462933024073855,32.46293302417386,34.64855015418172,34.64855015428172,36.527243891293246,36.52724389139325,38.38731293705622,38.387312937156224,40.21810089590526,40.21810089600526,41.94059683495451,41.940596835054514,43.6137469422865,43.6137469423865,45.26577626561498,45.26577626571498,46.89534075504883,46.89534075514883,48.52442522666441,48.524425226764414,50.14342932409651,50.14342932419651,51.75456112930912,51.75456112940912,53.21016716140503,53.210167161505034,54.647436512843356,54.64743651294336,56.08163375024481,56.081633750344814,57.50987876669982,57.50987876679982,58.924971294934466,58.92497129503447,60.313086821782825,60.31308682188283,61.4897064979052,61.489706498005205,62.61794037794683,62.61794037804683,63.72226937063904,63.72226937073904,64.80739765060079,64.80739765070079,65.86602894699452,65.86602894709452,66.8540976241038,66.8540976242038,67.83880617648528,67.83880617658528,68.82092263264812,68.82092263274812,69.79679885717358,69.79679885727359,70.74252996271221,70.74252996281221,71.66838833057483,71.66838833067483,72.58522236345414,72.58522236355414,73.46173489959948,73.46173489969948,74.32336688337871,74.32336688347871,75.1764545499929,75.1764545500929,76.02128591013299,76.02128591023299,76.78950642647855,76.78950642657855,77.52969390223765,77.52969390233766,78.26920935305118,78.26920935315118,79.00498066488228,79.00498066498228,79.68948607372306,79.68948607382306,80.32406962946465,80.32406962956465,80.94454066134935,80.94454066144935,81.56424366472484,81.56424366482484,82.16493796249716,82.16493796259716,82.75180774710357,82.75180774720357,83.30123614188558,83.30123614198558,83.82253549251749,83.82253549261749,84.33865065071215,84.33865065081216,84.84420541690507,84.84420541700507,85.34198389444217,85.34198389454217,85.83544221161489,85.83544221171489,86.32266029715024,86.32266029725024,86.79749392297443,86.79749392307443,87.24314246544832,87.24314246554832,87.6693022845008,87.6693022846008,88.08182959751466,88.08182959761466,88.49061277154608,88.49061277164608,88.86550668760825,88.86550668770825,89.23732848963354,89.23732848973354,89.60310206714873,89.60310206724873,89.93585041876754,89.93585041886755,90.24776599707381,90.24776599717381,90.55756949697972,90.55756949707973,90.84346810953623,90.84346810963623,91.12658261874681,91.12658261884681,91.38560023348067,91.38560023358067,91.6330014170126,91.6330014171126,91.86561805174208,91.86561805184208,92.0722177207218,92.0722177208218,92.27795335762863,92.27795335772863,92.46496829962328,92.46496829972328,92.64315091376191,92.64315091386192,92.81298121786281,92.81298121796281,92.97983541149047,92.97983541159047,93.14313747326301,93.14313747336301,93.30106333547101,93.30106333557102,93.45543706582389,93.45543706592389,93.60558663937606,93.60558663947606,93.75544820223726,93.75544820233726,93.8680603824014,93.8680603825014,93.94831936161471,93.94831936171471,94.02742629806419,94.02742629816419,94.08378038992808,94.08378039002808,94.12266183320725,94.12266183330725,94.13667835350049,94.13667835360049,94.14781476688415,94.14781476698415],[0.0,1e-10,3.018542535372019,3.0185425354720192,6.016923316266769,6.016923316366769,8.845708162440953,8.845708162540953,11.617286646430497,11.617286646530497,14.302706767861466,14.302706767961466,16.915642242573114,16.915642242673112,19.303938099925563,19.30393810002556,21.535195516695538,21.535195516795536,23.760104422540145,23.760104422640143,25.974967333074275,25.974967333174273,28.09718384241182,28.097183842511818,30.13045143493788,30.130451435037877,32.117186535296675,32.11718653539668,33.86491066389379,33.86491066399379,35.58417113911122,35.58417113921122,37.28040954174216,37.28040954184216,38.86328167784865,38.86328167794865,40.39041249275328,40.39041249285328,41.850151422450146,41.85015142255015,43.30040246768713,43.30040246778713,44.71925977757887,44.71925977767887,46.08272458555037,46.082724585650375,47.388494684342966,47.38849468444297,48.69300903372176,48.69300903382176,49.948549155961985,49.948549156061986,51.15804513302921,51.158045133129214,52.36670394382056,52.36670394392056,53.55945659537033,53.55945659547033,54.69625863414927,54.69625863424927,55.82371231618096,55.82371231628096,56.95011954036781,56.95011954046781,58.06585289453728,58.06585289463728,59.1731448220917,59.1731448221917,60.26341436870337,60.263414368803375,61.338963741630955,61.33896374173096,62.34244705097715,62.34244705107715,63.33679129514506,63.336791295245064,64.31341551980701,64.31341551990701,65.27950540216422,65.27950540226422,66.23638645548682,66.23638645558682,67.17882639055063,67.17882639065063,68.11694096652242,68.11694096662242,69.05198593281601,69.05198593291601,69.98019404118997,69.98019404128998,70.88775204809241,70.88775204819241,71.75073095080462,71.75073095090463,72.59557125087292,72.59557125097292,73.41927310247543,73.41927310257543,74.23495211060083,74.23495211070083,74.99628507465081,74.99628507475082,75.71938744543594,75.71938744553594,76.41988632677251,76.41988632687251,77.07734090875795,77.07734090885795,77.72823768824905,77.72823768834905,78.33943883349251,78.33943883359251,78.93361759779323,78.93361759789323,79.52214548973181,79.52214548983181,80.06281537623299,80.06281537633299,80.58939296375698,80.58939296385698,81.07655397245863,81.07655397255863,81.54306487968874,81.54306487978874,81.99199529512553,81.99199529522554,82.43039136825759,82.43039136835759,82.86425279072866,82.86425279082866,83.29406790953303,83.29406790963303,83.7205343632339,83.7205343633339,84.1434428602623,84.1434428603623,84.55449150171584,84.55449150181585,84.96540061545674,84.96540061555675,85.37540279906544,85.37540279916544,85.78184702600169,85.78184702610169,86.18605880953561,86.18605880963561,86.57492254467851,86.57492254477852,86.95367052065464,86.95367052075464,87.32872101224565,87.32872101234565,87.69693464591704,87.69693464601704,88.05028857819168,88.05028857829168,88.39966597065593,88.39966597075593,88.72406790255664,88.72406790265664,89.04777219589411,89.04777219599411,89.3545936360015,89.3545936361015,89.65541538446513,89.65541538456513,89.95330705096319,89.95330705106319,90.24966391262217,90.24966391272217,90.54364880316616,90.54364880326617,90.81056531745693,90.81056531755694,91.06897064127634,91.06897064137634,91.31726020592895,91.31726020602895,91.55417826200096,91.55417826210096,91.7838408770154,91.7838408771154,92.01015482692634,92.01015482702634,92.22705065623371,92.22705065633372,92.42273827321898,92.42273827331898,92.61451911425017,92.61451911435017,92.79667254310883,92.79667254320883,92.96124548017416,92.96124548027416,93.12351620998083,93.12351621008084,93.28522882893694,93.28522882903694,93.44115104781824,93.44115104791824,93.59218979675695,93.59218979685696,93.74141468543128,93.74141468553128,93.87543105342725,93.87543105352725,94.00679639488295,94.00679639498296,94.13627811221795,94.13627811231795,94.26150423431726,94.26150423441726,94.38142830333604,94.38142830343604,94.500096622941,94.500096623041,94.61771848470113,94.61771848480113,94.73492176332333,94.73492176342333,94.8474508635719,94.8474508636719,94.95802657584343,94.95802657594344,95.0678348856954,95.0678348857954,95.17492240515081,95.17492240525081,95.27377778956011,95.27377778966012,95.34989015680821,95.34989015690822,95.41435196005042,95.41435196015043,95.44916412435546,95.44916412445546,95.47958116571218,95.47958116581218,95.50776576366657,95.50776576376657,95.5336481543623,95.5336481544623,95.55457731125912,95.55457731135913,95.56846031866735,95.56846031876735],[0.0,1e-10,5.1150632207849505,5.1150632208849505,8.51935818614658,8.51935818624658,11.702511589852547,11.702511589952547,14.850539360520717,14.850539360620717,17.826365857027966,17.826365857127964,20.615962244228097,20.615962244328095,23.358653060481412,23.35865306058141,26.036661308579756,26.036661308679754,28.650201169212384,28.650201169312382,31.154401787980394,31.154401788080392,33.5333067035343,33.5333067036343,35.89379207981229,35.893792079912295,38.134764631486064,38.134764631586066,40.311054615004856,40.31105461510486,42.34598534361543,42.345985343715434,44.342898999883275,44.34289899998328,46.30650755897197,46.306507559071974,48.26219143255825,48.26219143265825,50.20620245858013,50.20620245868013,52.136505920489704,52.136505920589705,54.05770670310594,54.057706703205945,55.80584948880424,55.805849488904244,57.530325308339876,57.53032530843988,59.10947953021608,59.10947953031608,60.633053863230636,60.63305386333064,62.10265466255297,62.102654662652974,63.560796795000165,63.56079679510017,65.0050171826458,65.0050171827458,66.28999422783042,66.28999422793042,67.55965735373333,67.55965735383333,68.80436842933804,68.80436842943804,70.00913480639672,70.00913480649672,71.18284498351345,71.18284498361345,72.34316886755174,72.34316886765174,73.49214117505952,73.49214117515952,74.43453620778097,74.43453620788097,75.37329016878509,75.37329016888509,76.2530373498995,76.2530373499995,77.12914345929657,77.12914345939657,77.95384620327246,77.95384620337246,78.74995582523285,78.74995582533285,79.52496864930161,79.52496864940161,80.27610032651846,80.27610032661846,80.98396750450583,80.98396750460583,81.68198237078747,81.68198237088747,82.33940999645532,82.33940999655532,82.98473641318026,82.98473641328026,83.62288777681515,83.62288777691515,84.25557753287406,84.25557753297406,84.83001014145563,84.83001014155563,85.3805616031853,85.3805616032853,85.89994977462837,85.89994977472837,86.41516142263097,86.41516142273098,86.88250368658511,86.88250368668511,87.34491979468639,87.34491979478639,87.78377602696963,87.78377602706964,88.20196382273978,88.20196382283979,88.56917661446727,88.56917661456727,88.9135791627891,88.9135791628891,89.23270838977886,89.23270838987887,89.5513021650455,89.5513021651455,89.86957466927824,89.86957466937824,90.1761743259466,90.1761743260466,90.46842387643488,90.46842387653489,90.70980551322512,90.70980551332512,90.91509770387592,90.91509770397592,91.10454052352186,91.10454052362186,91.26892420252497,91.26892420262497,91.42656118981657,91.42656118991657,91.54971508613812,91.54971508623812,91.66365921282171,91.66365921292171,91.77032119607064,91.77032119617064,91.86895140347251,91.86895140357251,91.94937625228772,91.94937625238772,92.01919915698481,92.01919915708481,92.08356045410589,92.0835604542059,92.13100147677585,92.13100147687585,92.17587233117474,92.17587233127475,92.18604591391436,92.18604591401436],[0.0,1e-10,7.252491291482796,7.252491291582796,11.727490352766505,11.727490352866505,15.71903513507358,15.71903513517358,19.5462276223886,19.546227622488598,23.229688795543897,23.229688795643895,26.71758920420865,26.71758920430865,29.972441751884666,29.972441751984665,33.129052253565426,33.12905225366543,36.12691198042053,36.12691198052053,39.10993691210969,39.10993691220969,41.868531706143024,41.868531706243026,44.60121177501094,44.60121177511094,47.16910866272016,47.169108662820165,49.52254734977308,49.52254734987308,51.63247379750443,51.63247379760443,53.691371012071585,53.69137101217159,55.65670437330993,55.65670437340993,57.61582066271524,57.61582066281524,59.47029316879227,59.47029316889227,61.24080442754003,61.24080442764003,62.847517387795705,62.84751738789571,64.41465037588662,64.41465037598662,65.93155434797997,65.93155434807997,67.43879415890713,67.43879415900713,68.88454035833725,68.88454035843725,70.289537037436,70.28953703753601,71.65292242387011,71.65292242397011,72.93480876964148,72.93480876974148,74.1730525022483,74.1730525023483,75.3091146581934,75.3091146582934,76.38214432347486,76.38214432357486,77.43510700442397,77.43510700452397,78.39505982854423,78.39505982864424,79.28945640016768,79.28945640026768,80.12100514662748,80.12100514672748,80.9433821732544,80.94338217335441,81.7490161945488,81.7490161946488,82.44268136768194,82.44268136778194,83.06186478915201,83.06186478925201,83.63722093195753,83.63722093205753,84.1608091795989,84.1608091796989,84.6378617212425,84.6378617213425,85.10112590555345,85.10112590565345,85.52751854503283,85.52751854513284,85.95187986401233,85.95187986411233,86.35968284315928,86.35968284325928,86.72421254014166,86.72421254024167,87.08092473095776,87.08092473105776,87.41861637527477,87.41861637537477,87.7528609302586,87.75286093035861,88.07559466907635,88.07559466917635,88.3874331433946,88.3874331434946,88.6731106718808,88.67311067198081,88.95337134570059,88.95337134580059,89.22809205452064,89.22809205462065,89.49197905400788,89.49197905410789,89.75094164016204,89.75094164026204,89.99685453098348,89.99685453108349,90.2372274568052,90.2372274569052,90.47292218996047,90.47292219006047,90.69692144144965,90.69692144154965,90.9082403286061,90.9082403287061,91.10798684442977,91.10798684452978,91.28064908692143,91.28064908702143,91.43749165158052,91.43749165168052,91.59125645790643,91.59125645800643,91.74255905756577,91.74255905766577,91.8876445853921,91.8876445854921,92.03088345821851,92.03088345831851,92.17406077587826,92.17406077597826,92.31674565220469,92.31674565230469,92.45499855653134,92.45499855663134,92.58826549235823,92.58826549245823,92.71845466985194,92.71845466995194,92.84575075451245,92.84575075461245,92.97015374633978,92.97015374643978,93.09344874516715,93.09344874526715,93.21144999966144,93.21144999976144,93.32329573748937,93.32329573758938,93.43249460315076,93.43249460325076,93.5371999416457,93.5371999417457,93.6406126216407,93.6406126217407,93.74187087080247,93.74187087090247,93.83832781696448,93.83832781706448,93.92893702229344,93.92893702239344,94.01646846928921,94.01646846938921,94.10264570261837,94.10264570271838,94.18217497794787,94.18217497804787,94.24046772077838,94.24046772087839,94.29728313960896,94.29728313970897,94.3540370032729,94.3540370033729,94.39435563743761,94.39435563753761,94.43332005793572,94.43332005803572,94.4640360861009,94.4640360862009,94.49401345226612,94.49401345236612,94.52392926326468,94.52392926336468,94.55089042626338,94.55089042636338,94.55790771526303,94.55790771536303,94.56400167676274,94.56400167686274],[0.0,1e-10,3.5271736366118414,3.5271736367118414,6.38493787939289,6.38493787949289,9.141793771627915,9.141793771727915,11.86555920823777,11.86555920833777,14.548809299002668,14.548809299102668,17.057311382941343,17.05731138304134,19.41901110985739,19.41901110995739,21.744580268617327,21.744580268717325,24.068687834814316,24.068687834914314,26.31913113583866,26.319131135938658,28.460539631666983,28.46053963176698,30.542549005737044,30.542549005837042,32.497984463855694,32.497984463955696,34.373149258417165,34.37314925851717,36.1847640083416,36.184764008441604,37.959312770869644,37.959312770969646,39.57010470264484,39.57010470274484,41.096065802066455,41.09606580216646,42.605657064783045,42.60565706488305,44.09776768044676,44.09776768054676,45.50440436302919,45.50440436312919,46.75079203700986,46.75079203710986,47.99653661026284,47.99653661036284,49.219889585451426,49.21988958555143,50.37852324195262,50.37852324205262,51.50026630216497,51.50026630226497,52.52776587391835,52.52776587401835,53.54140954817497,53.54140954827497,54.52494441563483,54.52494441573483,55.477668911867724,55.477668911967726,56.41490052693335,56.41490052703335,57.339913228172726,57.33991322827273,58.251128495617856,58.25112849571786,59.11492970032091,59.11492970042091,59.97715238505597,59.977152385155975,60.83785501352558,60.83785501362558,61.67476291507037,61.67476291517037,62.50787067595148,62.50787067605148,63.33992609018728,63.33992609028728,64.16350426755797,64.16350426765797,64.96656168534484,64.96656168544484,65.75634784266015,65.75634784276015,66.53677980757257,66.53677980767257,67.3126516036886,67.3126516037886,68.08723719834921,68.08723719844922,68.84153588823611,68.84153588833611,69.57911395920286,69.57911395930286,70.30371308821061,70.30371308831062,71.01165006200075,71.01165006210076,71.71777466101284,71.71777466111284,72.42115146600658,72.42115146610658,73.08886541246434,73.08886541256435,73.74792673094946,73.74792673104946,74.37150058200616,74.37150058210617,74.93234288026107,74.93234288036108,75.46506413760484,75.46506413770484,75.96937203552488,75.96937203562489,76.46993825648377,76.46993825658377,76.9595717650718,76.9595717651718,77.43464781173284,77.43464781183285,77.90890536655864,77.90890536665864,78.35814045670675,78.35814045680675,78.80316616027356,78.80316616037356,79.22831420498426,79.22831420508426,79.64597889577267,79.64597889587267,80.05183391865243,80.05183391875244,80.45558424824156,80.45558424834157,80.85196815131341,80.85196815141342,81.24133641008312,81.24133641018312,81.61936271056433,81.61936271066433,81.99446582591965,81.99446582601965,82.3680488850095,82.3680488851095,82.7391764685936,82.7391764686936,83.10521771005862,83.10521771015863,83.45313520374307,83.45313520384308,83.79871414932681,83.79871414942681,84.144117703803,84.144117703903,84.47420376821948,84.47420376831948,84.80013890975718,84.80013890985718,85.12426167651682,85.12426167661683,85.44160265378439,85.44160265388439,85.7334534567541,85.73345345685411,86.01589160361844,86.01589160371844,86.2753535153932,86.27535351549321,86.5222457311266,86.5222457312266,86.75557436787584,86.75557436797584,86.98387512620852,86.98387512630852,87.21088968308581,87.21088968318581,87.4353318370523,87.4353318371523,87.6590724265886,87.6590724266886,87.86936636454574,87.86936636464574,88.055631720768,88.055631720868,88.23201671126473,88.23201671136474,88.40027524711145,88.40027524721145,88.56607830745243,88.56607830755243,88.71872703472685,88.71872703482686,88.86073536814301,88.86073536824301,88.9986512423829,88.99865124248291,89.13551476997749,89.13551477007749,89.27103363241415,89.27103363251415,89.40538322080045,89.40538322090045,89.53604959592812,89.53604959602812,89.66519591479032,89.66519591489032,89.79299756849461,89.79299756859461,89.91805142818056,89.91805142828056,90.0317048658755,90.0317048659755,90.14413056581756,90.14413056591756,90.25620548354452,90.25620548364452,90.36085551105168,90.36085551115168,90.46112076087002,90.46112076097002,90.56056751885308,90.56056751895308,90.65878653908328,90.65878653918328,90.75191921719441,90.75191921729441,90.84353183904007,90.84353183914007,90.93496906977818,90.93496906987818,91.02588012719363,91.02588012729363,91.11562191055872,91.11562191065872,91.19659413854612,91.19659413864612,91.27107689555402,91.27107689565402,91.33778398012701,91.33778398022702,91.3916875138486,91.3916875139486,91.44553258386765,91.44553258396765,91.49440823917267,91.49440823927267,91.53252657321438,91.53252657331439,91.56099839634064,91.56099839644064,91.58812555430897,91.58812555440898,91.614200365632,91.614200365732,91.63787816515178,91.63787816525178,91.66003590840609,91.66003590850609,91.67681499102875,91.67681499112875,91.68844926782982,91.68844926792983,91.70002508092838,91.70002508102839,91.70668994301543,91.70668994311544],[0.0,1e-10,1.851502057713858,1.851502057813858,3.6850939306004804,3.6850939307004804,5.252479777639673,5.252479777739673,6.766330809922047,6.766330810022047,8.091684487137453,8.091684487237453,9.298419891070843,9.298419891170843,10.463952082915348,10.463952083015348,11.620969596727232,11.620969596827232,12.7525409463037,12.7525409464037,13.859742700131635,13.859742700231635,14.934843139077968,14.934843139177968,15.957681071479254,15.957681071579254,16.931388332933697,16.931388333033695,17.88973002598445,17.889730026084447,18.835152897192604,18.835152897292602,19.716960357812216,19.716960357912214,20.586827695213675,20.586827695313673,21.446810176508297,21.446810176608295,22.29406957568521,22.29406957578521,23.13692483105215,23.136924831152147,23.976648250820883,23.97664825092088,24.810010129530763,24.81001012963076,25.64298052879087,25.642980528890867,26.470861695203887,26.470861695303885,27.29698120409292,27.296981204192917,28.11722852123531,28.11722852133531,28.92269748914868,28.922697489248677,29.71955390916698,29.719553909266978,30.50163197995625,30.50163198005625,31.26981253027849,31.269812530378488,32.03075071077988,32.03075071087988,32.790710192656825,32.790710192756826,33.540197599252274,33.540197599352275,34.24946049238328,34.24946049248328,34.95745107730251,34.95745107740251,35.66524592249686,35.66524592259686,36.353173185615084,36.353173185715086,37.03708778437312,37.03708778447312,37.720317294094045,37.72031729419405,38.38759401623661,38.387594016336614,39.03627546451484,39.03627546461484,39.68202081691974,39.68202081701974,40.316413265281156,40.31641326538116,40.94923979584347,40.94923979594347,41.580500408606675,41.580500408706676,42.20892279535901,42.20892279545901,42.83352825747603,42.833528257576035,43.44208306215226,43.44208306225226,44.04779964081761,44.04779964091761,44.652537520858516,44.65253752095852,45.25551374337543,45.25551374347543,45.85780487685525,45.85780487695525,46.45735565418663,46.45735565428663,47.052698027432925,47.05269802753293,47.64735531164211,47.64735531174211,48.23584679451733,48.23584679461733,48.81768312674637,48.81768312684637,49.39854076035096,49.39854076045096,49.97900691450578,49.97900691460578,50.557613541274165,50.55761354137417,51.13612229818011,51.136122298280114,51.70631211677832,51.70631211687832,52.25751518206241,52.257515182162415,52.8055864117483,52.8055864118483,53.347100360650444,53.347100360750446,53.88655904244126,53.886559042541265,54.422592279046555,54.422592279146556,54.955102200603854,54.955102200703855,55.48673129339917,55.48673129349917,56.00916061912475,56.00916061922475,56.52982828732634,56.52982828742634,57.049321517178605,57.04932151727861,57.56578078129511,57.56578078139511,58.08067412761251,58.08067412771251,58.594295165718144,58.594295165818146,59.09274637514497,59.09274637524497,59.58610835172471,59.58610835182471,60.078980978992234,60.078980979092236,60.57136425694754,60.57136425704754,61.06335605545306,61.063356055553065,61.550356490973954,61.550356491073956,62.02717846080068,62.02717846090068,62.50331534159029,62.50331534169029,62.97729908540614,62.97729908550614,63.446780815549566,63.44678081564957,63.91107544298347,63.91107544308347,64.37468498138026,64.37468498148026,64.83369463624219,64.83369463634219,65.2913341130299,65.2913341131299,65.7467225829814,65.74672258308141,66.2007408748587,66.2007408749587,66.65338898866177,66.65338898876178,67.10476479425309,67.10476479435309,67.55604272998194,67.55604273008194,68.00056764520218,68.00056764530218,68.44117776592465,68.44117776602465,68.88031983871046,68.88031983881046,69.31858108273428,69.31858108283429,69.75478705964679,69.75478705974679,70.1901122077973,70.1901122078973,70.609386698507,70.609386698607,71.0270952714176,71.0270952715176,71.44206348817977,71.44206348827977,71.85458495838084,71.85458495848084,72.26005979848595,72.26005979858596,72.64302457022896,72.64302457032896,73.02520638307243,73.02520638317243,73.40611588770412,73.40611588780412,73.78624243343626,73.78624243353626,74.1639222326073,74.1639222327073,74.54121055232856,74.54121055242857,74.90577578993212,74.90577579003212,75.26574114400083,75.26574114410083,75.62149809398443,75.62149809408443,75.9760806056187,75.9760806057187,76.32713980220501,76.32713980230501,76.67643734126732,76.67643734136732,77.02553914060474,77.02553914070474,77.37346650159283,77.37346650169283,77.7186535064325,77.7186535065325,78.06149163457351,78.06149163467352,78.40237236546564,78.40237236556564,78.74070847993423,78.74070848003423,79.07170435471953,79.07170435481953,79.39741525693286,79.39741525703286,79.72185385093441,79.72185385103441,80.03102474639472,80.03102474649472,80.33579149804505,80.33579149814506,80.63781789354695,80.63781789364695,80.93641884386331,80.93641884396331,81.22738594490906,81.22738594500906,81.51531908021903,81.51531908031903,81.80295860594168,81.80295860604168,82.0854110289548,82.0854110290548,82.3640465273326,82.3640465274326,82.63974592983709,82.63974592993709,82.91417302412981,82.91417302422981,83.18644698144877,83.18644698154877,83.45705715110617,83.45705715120617,83.72531844406492,83.72531844416493,83.99279677812413,83.99279677822413,84.25557735878603,84.25557735888603,84.51493249426238,84.51493249436238,84.77272171193964,84.77272171203964,85.02914075154267,85.02914075164267,85.28458109252128,85.28458109262128,85.53649811845189,85.53649811855189,85.78684922658341,85.78684922668342,86.0328940607674,86.0328940608674,86.27796019632694,86.27796019642695,86.52048171546295,86.52048171556295,86.75947991955097,86.75947991965097,86.99838025377656,86.99838025387656,87.2329743140546,87.2329743141546,87.46052174423669,87.46052174433669,87.68738408538167,87.68738408548167,87.90592748821892,87.90592748831892,88.11869656917197,88.11869656927198,88.33126991040014,88.33126991050014,88.54345177217853,88.54345177227853,88.75553576409449,88.75553576419449,88.96566235876155,88.96566235886155,89.17539747397885,89.17539747407885,89.38180501387305,89.38180501397305,89.58615728665593,89.58615728675593,89.78522458686685,89.78522458696685,89.98370466790308,89.98370466800309,90.18179326948956,90.18179326958956,90.37733725465249,90.37733725475249,90.57278336995297,90.57278337005297,90.76695717704169,90.76695717714169,90.95790127866975,90.95790127876975,91.14855177071048,91.14855177081049,91.33685338605257,91.33685338615257,91.52456778221998,91.52456778231998,91.71159708935029,91.7115970894503,91.89686473895661,91.89686473905661,92.08174090911315,92.08174090921315,92.26622559981992,92.26622559991992,92.44571892754205,92.44571892764205,92.62178681007863,92.62178681017863,92.79628877481613,92.79628877491614,92.96971417106673,92.96971417116673,93.14137790979335,93.14137790989335,93.30990981292176,93.30990981302176,93.47775662701306,93.47775662711307,93.81188433739656,93.81188433749656,93.97620783643988,93.97620783653988,94.14033559575832,94.14033559585832,94.30358252631476,94.30358252641476,94.46516566920965,94.46516566930966,94.62214892856969,94.62214892866969,94.77883857834237,94.77883857844238,94.93474526921553,94.93474526931553,95.08947752173934,95.08947752183934,95.24381829481338,95.24381829491338,95.39669101995077,95.39669102005077,95.5494658752257,95.54946587532571,95.7021428606382,95.7021428607382,95.85393901728871,95.85393901738871,96.00407138627767,96.00407138637767,96.1481358237951,96.1481358238951,96.2910258229632,96.29102582306321,96.3473988637309,96.3473988638309,96.38693828815823,96.38693828825824,96.42177995918827,96.42177995928827],[0.0,1e-10,2.2616801377863323,2.2616801378863323,3.8211409892825823,3.8211409893825823,5.245827369721175,5.245827369821175,6.658238516645596,6.658238516745596,7.957072116364151,7.957072116464151,9.230722505058788,9.230722505158788,10.450463105330362,10.450463105430362,11.613320020399666,11.613320020499666,12.683796312114897,12.683796312214897,13.752437646242957,13.752437646342957,14.802792678898873,14.802792678998873,15.847073369197263,15.847073369297263,16.880850509169093,16.88085050926909,17.90311170842144,17.90311170852144,18.918222900523787,18.918222900623785,19.923020365498243,19.92302036559824,20.926489068081988,20.926489068181986,21.913379877981647,21.913379878081646,22.796121026209523,22.79612102630952,23.66620729452588,23.666207294625877,24.52117098134797,24.52117098144797,25.326970459713824,25.326970459813822,26.115432752600896,26.115432752700894,26.89725123353442,26.897251233634417,27.666731206554214,27.666731206654212,28.42102532368019,28.42102532378019,29.159374292117654,29.159374292217652,29.8458382529179,29.8458382530179,30.516799985826534,30.516799985926532,31.17181657004666,31.171816570146657,31.81512739034863,31.815127390448627,32.45160457549838,32.45160457559838,33.07295917915387,33.07295917925387,33.69418723401024,33.694187234110245,34.313263959281656,34.31326395938166,34.91304199268801,34.91304199278801,35.50446780535276,35.50446780545276,36.0929197212383,36.092919721338305,36.67871411234243,36.678714112442435,37.25520716671159,37.255207166811594,37.82765065950907,37.82765065960907,38.39560166993795,38.395601670037955,38.9594398443956,38.9594398444956,39.51998775007625,39.51998775017625,40.077941405375036,40.07794140547504,40.61533088081761,40.61533088091761,41.15253053306151,41.15253053316151,41.6825801781554,41.6825801782554,42.208453712878494,42.208453712978496,42.726417947656884,42.726417947756886,43.24292687124546,43.24292687134546,43.757221190849506,43.75722119094951,44.26626373529028,44.26626373539028,44.77005450456778,44.77005450466778,45.27289615785191,45.27289615795191,46.27497282364539,46.274972823745394,46.769335707388805,46.76933570748881,47.26243310314107,47.26243310324107,47.754075187703506,47.75407518780351,48.242237180290275,48.242237180390276,48.72242659853279,48.722426598632794,49.19957884559655,49.19957884569655,49.66831559751914,49.66831559761914,50.1205377311572,50.1205377312572,50.57067180960986,50.570671809709864,51.01656650329217,51.01656650339217,51.45936075139615,51.45936075149615,51.89627048034128,51.89627048044128,52.33216781889348,52.33216781899348,52.767875334247016,52.76787533434702,53.201241696816915,53.20124169691692,53.63391204099169,53.63391204109169,54.06335539078902,54.06335539088902,54.492672191787236,54.49267219188724,54.91718013841908,54.91718013851908,55.34004295066242,55.340042950762424,55.761577000515054,55.761577000615056,56.181972111175654,56.181972111275655,56.60192430103935,56.60192430113935,57.01649816694064,57.016498167040645,57.430059642449024,57.430059642549026,57.841090141975094,57.841090142075096,58.2456666527463,58.2456666528463,58.649800242720595,58.6498002428206,59.050200643120995,59.050200643221,59.44623510995192,59.44623511005192,59.83606868562621,59.83606868572621,60.22507969410624,60.225079694206244,60.6130150377938,60.6130150378938,60.995951703916305,60.995951704016306,61.370662698096325,61.37066269819633,61.743855106686965,61.74385510678697,62.1166045944807,62.1166045945807,62.487266027089035,62.48726602718904,63.22776632511146,63.22776632521146,63.58545650581049,63.58545650591049,63.939666594533854,63.939666594633856,64.29178862807181,64.29178862817182,64.63619118486375,64.63619118496375,64.97958135126277,64.97958135136277,65.31025336335071,65.31025336345071,65.63554705147625,65.63554705157625,65.95780356842303,65.95780356852303,66.2793640669747,66.2793640670747,66.60073474232766,66.60073474242766,66.92178904568286,66.92178904578286,67.22645527955262,67.22645527965263,67.53042549502726,67.53042549512726,67.83275057611341,67.83275057621341,68.13494910840043,68.13494910850044,68.43025073113569,68.43025073123569,68.72156606669881,68.72156606679881,69.00661723670574,69.00661723680574,69.57494789353197,69.57494789363197,69.85506366037339,69.85506366047339,70.13258517683296,70.13258517693296,70.40966377249563,70.40966377259564,70.68503395937024,70.68503395947025,70.95553201747892,70.95553201757892,71.22172741641768,71.22172741651768,71.48710024816219,71.4871002482622,71.74715803034387,71.74715803044387,72.00360917175077,72.00360917185077,72.2592377459634,72.2592377460634,72.5136008321849,72.51360083228491,72.76688825361391,72.76688825371392,73.01859381505399,73.01859381515399,73.26802149810999,73.26802149820999,73.5162469675744,73.5162469676744,73.76225783305429,73.7622578331543,74.00782577773728,74.00782577783728,74.49700016071698,74.49700016081698,74.73902473902474,74.73902473912474,74.97959400614268,74.97959400624268,75.21782212047698,75.21782212057698,75.45567058841395,75.45567058851395,75.69200047076153,75.69200047086153,75.92725468831664,75.92725468841664,76.16143324107927,76.16143324117927,76.39554851944233,76.39554851954233,76.62941070020716,76.62941070030716,76.86213394177996,76.86213394187996,77.09068107298195,77.09068107308195,77.31872200898749,77.3187220090875,77.53929656584523,77.53929656594524,77.7570237747229,77.7570237748229,77.97177708682133,77.97177708692134,78.18418924613614,78.18418924623614,78.39432352706689,78.39432352716689,78.6034454176047,78.6034454177047,78.80870756976951,78.80870756986951,79.01276750834273,79.01276750844274,79.21530886132656,79.21530886142656,79.41614180552234,79.41614180562235,79.61545616412873,79.61545616422873,79.81160680275724,79.81160680285724,80.00756761818708,80.00756761828708,80.20213639682666,80.20213639692666,80.39487021787907,80.39487021797908,80.58697129493589,80.5869712950359,80.77894582319361,80.77894582329361,80.9694650402615,80.9694650403615,81.15808602534267,81.15808602544267,81.34639063842603,81.34639063852603,81.5342523307125,81.5342523308125,81.72122818140517,81.72122818150517,81.9016867689434,81.90168676904341,82.07683030691881,82.07683030701881,82.24931632011278,82.24931632021278,82.42123286371074,82.42123286381074,82.59251666331312,82.59251666341312,82.93356567692851,82.93356567702851,83.10282469574506,83.10282469584506,83.27094477536956,83.27094477546956,83.43868520859671,83.43868520869671,83.60427431223891,83.60427431233892,83.76752226309749,83.76752226319749,83.92760649397817,83.92760649407818,84.08762745045931,84.08762745055931,84.24758513254089,84.24758513264089,84.40456891784325,84.40456891794325,84.56060358715226,84.56060358725226,84.7164484332626,84.7164484333626,84.86881318739727,84.86881318749727,85.17208738447677,85.17208738457677,85.32249063222514,85.32249063232514,85.4726407823753,85.4726407824753,85.62234801172855,85.62234801182855,85.76819550270878,85.76819550280878,85.90967706011953,85.90967706021954,86.05052587353472,86.05052587363473,86.19017247335832,86.19017247345832,86.32779429239606,86.32779429249607,86.46446699544045,86.46446699554045,86.60069677768793,86.60069677778793,86.7351548767478,86.7351548768478,86.86803111581872,86.86803111591873,87.0004011596932,87.0004011597932,87.13207518517252,87.13207518527253,87.26336956425452,87.26336956435452,87.39339845534536,87.39339845544536,87.52228840724416,87.52228840734416,87.65079871274561,87.65079871284561,87.7791191950484,87.7791191951484,87.90617418936003,87.90617418946003,88.0331659092721,88.0331659093721,88.15851249479569,88.15851249489569,88.28347943392191,88.28347943402191,88.40800345225124,88.40800345235124,88.5323376473819,88.5323376474819,88.65648201931388,88.65648201941389,88.78024674484851,88.78024674494851,88.90369509838537,88.90369509848537,89.02341026234832,89.02341026244832,89.1387594927418,89.1387594928418,89.25404544873571,89.25404544883571,89.36831901433672,89.36831901443672,89.48177001274347,89.48177001284347,89.59496791355198,89.59496791365198,89.70658395437157,89.70658395447157,89.81769379999469,89.81769380009469,89.92722178562886,89.92722178572886,90.03510463687455,90.03510463697455,90.14292421372068,90.14292421382068,90.25061724176769,90.25061724186769,90.35780407461823,90.35780407471823,90.46486435866967,90.46486435876967,90.57053260593084,90.57053260603084,90.67607430439288,90.67607430449289,90.78035051486378,90.78035051496379,90.88393070693955,90.88393070703955,90.98700470381887,90.98700470391887,91.08931940790347,91.08931940800348,91.2933793464767,91.2933793465767,91.39499803216617,91.39499803226617,91.4961105226592,91.4961105227592,91.59715973875267,91.59715973885267,91.69700674125453,91.69700674135453,91.79527188376746,91.79527188386746,91.89328392868215,91.89328392878215,91.99047340640261,91.99047340650262,92.0843093409465,92.0843093410465,92.1763735923028,92.1763735924028,92.26312279409625,92.26312279419625,92.341962695945,92.341962696045,92.41517117623312,92.41517117633312,92.47186503823671,92.47186503833672,92.52811597944341,92.52811597954341,92.58316470705851,92.58316470715852,92.6377705138767,92.6377705139767,92.67579842801082,92.67579842811082,92.70889093897944,92.70889093907944,92.7323657412153,92.7323657413153,92.75558744585294,92.75558744595294,92.77634144890781,92.77634144900782,92.78519986484588,92.78519986494588,92.79260296959411,92.79260296969412,92.79912023274855,92.79912023284855],[0.0,1e-10,0.9413672355168093,0.9413672356168094,1.8180603861507845,1.8180603862507845,2.6316857363630675,2.6316857364630675,3.3968689288787965,3.3968689289787966,4.159515882771669,4.159515882871669,4.911510634448546,4.911510634548546,5.656742083131139,5.656742083231139,6.3319733458229,6.3319733459229,6.99680603016095,6.99680603026095,7.647943025935576,7.647943026035576,8.283101718386208,8.283101718486208,8.901943942363133,8.901943942463133,9.499228138045778,9.499228138145778,10.096343251153566,10.096343251253566,10.6850042355185,10.6850042356185,11.271551687697722,11.271551687797722,11.842881708139805,11.842881708239805,12.400854205168178,12.400854205268178,12.946060967794843,12.946060967894843,13.479009243744368,13.479009243844368,14.007984079184752,14.007984079284752,14.523601391211425,14.523601391311425,15.037105171052387,15.037105171152387,15.549340831581919,15.549340831681919,16.057856675464595,16.057856675564594,16.553184078508423,16.55318407860842,17.045467995204817,17.045467995304815,17.531580397918933,17.53158039801893,18.016931929046187,18.016931929146185,18.50194529502373,18.50194529512373,18.97841999097099,18.97841999107099,19.92891768553008,19.92891768563008,20.401757106117916,20.401757106217914,20.872567535807462,20.87256753590746,21.33407842387987,21.334078423979868,21.794574816503136,21.794574816603134,22.245348961072118,22.245348961172116,22.689190720071963,22.68919072017196,23.132356148772377,23.132356148872375,23.574676164598504,23.574676164698502,24.000172464226353,24.00017246432635,24.42541513999192,24.425415140091918,24.84676891653577,24.846768916635767,25.26803815179219,25.26803815189219,25.676879817796618,25.676879817896616,26.084622447064472,26.08462244716447,26.490336085434045,26.490336085534043,26.89520431092933,26.895204311029328,27.297789921664044,27.297789921764043,27.699191954374758,27.699191954474756,28.089434537144907,28.089434537244905,28.46538964233963,28.46538964243963,28.83754038960007,28.837540389700067,29.209522054285653,29.20952205438565,29.58125009510895,29.581250095208947,29.952893594644816,29.952893594744815,30.32419892903097,30.32419892913097,30.690347244883984,30.690347244983982,31.053959322114142,31.05395932221414,31.41731777548201,31.41731777558201,31.777717283789883,31.77771728388988,32.137609544373184,32.137609544473186,32.49462740118392,32.49462740128392,32.847671817485505,32.84767181758551,33.19868724288881,33.19868724298881,33.54665918194468,33.546659182044685,33.89446203842571,33.89446203852571,34.58896871465117,34.588968714751175,34.93516528667105,34.93516528677105,35.277388418181786,35.27738841828179,35.61808980651881,35.61808980661881,35.94796991006498,35.94796991016498,36.27489106855115,36.27489106865115,36.59885328197732,36.59885328207732,36.92112466965492,36.921124669754924,37.243057892182804,37.243057892282806,37.564061160548974,37.564061160648976,37.88404993346601,37.88404993356601,38.203193293508754,38.203193293608756,38.51971587364121,38.51971587374121,38.83505487574967,38.83505487584967,39.15022479528327,39.150224795383274,39.46471838451745,39.46471838461745,39.77583032225448,39.77583032235448,40.083983314931515,40.08398331503152,40.39154451859655,40.39154451869655,40.698260309387294,40.698260309487296,41.004299769878614,41.004299769978616,41.310254689082505,41.31025468918251,41.61333520451383,41.61333520461383,41.91633117865772,41.91633117875772,42.219073528939326,42.21907352903933,42.51902601673579,42.519026016835795,42.81813309165797,42.81813309175797,43.11453484538244,43.11453484548244,43.408738525633765,43.40873852573377,43.70277312331023,43.70277312341023,43.99528597781298,43.995285977912985,44.28458626339345,44.28458626349345,44.572702970949926,44.57270297104993,44.859974265632104,44.859974265732106,45.14716101902686,45.14716101912686,45.43257240538562,45.43257240548562,45.71663113114552,45.71663113124552,45.999675361456276,45.99967536155628,46.279084316407605,46.27908431650761,46.55621065659836,46.55621065669836,46.83223796005255,46.832237960152554,47.10758893320731,47.10758893330731,47.38091091546379,47.38091091556379,47.65330294355854,47.653302943658545,47.92180607243159,47.921806072531595,48.189294705855495,48.1892947059555,48.45644517412969,48.45644517422969,48.722242981805024,48.722242981905026,48.98584271600722,48.98584271610722,49.24876611990998,49.24876612000998,49.51160498252531,49.511604982625315,49.77410567999094,49.77410568009094,50.03330926724684,50.033309267346844,50.80914466197857,50.80914466207857,51.06631925833619,51.066319258436195,51.32340931340639,51.32340931350639,51.58016120332687,51.58016120342687,51.83513772621135,51.83513772631135,52.08977608394612,52.08977608404612,52.343822652668884,52.343822652768885,52.59677018465508,52.59677018475508,52.849633175353844,52.849633175453846,53.3551055328891,53.3551055329891,53.60644678041415,53.606446780514155,53.8566044499152,53.856604450015205,54.10608578911683,54.106085789216834,54.35522896316874,54.35522896326874,54.60378034820865,54.60378034830865,54.85224719196114,54.85224719206114,55.098093255803335,55.098093255903336,55.34309390677125,55.34309390687125,55.587840933876876,55.58784093397688,55.832249795832794,55.832249795932796,56.07648957521385,56.07648957531385,56.320137565582904,56.320137565682906,56.56370101466453,56.56370101476453,56.806841757309016,56.80684175740902,57.0493907109415,57.049390711041504,57.29143241684942,57.29143241694942,57.533305040182476,57.53330504028248,57.7739095442041,57.773909544304104,58.01349955277659,58.01349955287659,58.25249777233708,58.25249777243708,58.49132690932271,58.49132690942271,58.72964879858377,58.72964879868377,58.96746344012025,58.96746344022025,59.20519354036931,59.20519354046931,59.44224731031894,59.44224731041894,59.677694795807426,59.67769479590743,59.91001425366106,59.91001425376106,60.14208008765241,60.14208008775241,60.37389229778147,60.37389229788147,60.60477455374881,60.60477455384881,60.83540318585388,60.83540318595388,61.06527094637208,61.06527094647208,61.294631459165714,61.294631459265716,61.52340018294735,61.52340018304735,61.75047808098041,61.75047808108041,61.97265258434262,61.97265258444262,62.19305172066883,62.19305172076883,62.63317366302181,62.63317366312181,62.852473762611446,62.85247376271145,63.290059466341575,63.290059466441576,63.726546133335134,63.726546133435136,63.944578113613346,63.94457811371335,64.16117289200527,64.16117289210527,64.3771758813852,64.3771758814852,64.59241799917825,64.59241799927825,64.80681470409704,64.80681470419704,65.02070416129125,65.02070416139125,65.23307187531175,65.23307187541175,65.44214247912252,65.44214247922253,65.65112854164589,65.65112854174589,65.85969189773209,65.85969189783209,66.06656442806974,66.06656442816974,66.27301425197024,66.27301425207024,66.4784495804216,66.4784495805216,66.68363128501066,66.68363128511066,66.88830574187516,66.88830574197516,67.09230386844023,67.09230386854023,67.29604837114302,67.29604837124302,67.49759480037265,67.49759480047265,67.90060311754452,67.90060311764452,68.1013886751873,68.1013886752873,68.30208969154266,68.30208969164266,68.50228346017344,68.50228346027345,68.70137819206766,68.70137819216767,68.90005021752474,68.90005021762474,69.29730972715144,69.29730972725145,69.49581267003366,69.49581267013366,69.69330111746673,69.69330111756673,70.08819347104546,70.08819347114546,70.28475196431681,70.28475196441681,70.47978871441445,70.47978871451446,70.67381096906296,70.67381096916296,71.06160185449768,71.06160185459768,71.25503232013418,71.25503232023418,71.44770191418382,71.44770191428383,71.83253385455855,71.83253385465855,72.02393532929676,72.02393532939676,72.21466047373556,72.21466047383556,72.40513199431206,72.40513199441206,72.59534989102627,72.59534989112628,72.78539870516565,72.78539870526565,72.97333398711929,72.97333398721929,73.1608465626358,73.1608465627358,73.34827459686487,73.34827459696487,73.53553354851908,73.53553354861909,73.72253887631102,73.72253887641102,73.9081915435041,73.9081915436041,74.09232246752346,74.09232246762346,74.27628430896797,74.27628430906798,74.46016160912505,74.46016160922505,74.64293987254555,74.64293987264556,74.82504180566663,74.82504180576663,75.0059601607637,75.00596016086371,75.1866248919985,75.18662489209851,75.36703599937101,75.36703599947101,75.54719348288124,75.54719348298124,75.90708574346453,75.90708574356454,76.0864823553879,76.0864823554879,76.26427268285012,76.26427268295012,76.61943063133742,76.61943063143742,76.7964600872128,76.7964600873128,76.9729822953636,76.9729822954636,77.14849000806524,77.14849000816524,77.32264506016803,77.32264506026803,77.49646194712112,77.49646194722112,77.66917979733762,77.66917979743762,77.84096769339243,77.84096769349243,78.0120792591478,78.0120792592478,78.1824299533163,78.1824299534163,78.3506671152991,78.3506671153991,78.51763615797047,78.51763615807047,78.68409795291727,78.68409795301727,78.84996795885206,78.84996795895206,79.01499255191258,79.01499255201259,79.17900264952395,79.17900264962395,79.3426745819856,79.3426745820856,79.50600834929755,79.50600834939755,79.66714404313635,79.66714404323635,79.82802611311286,79.82802611321286,79.98738643991567,79.98738644001567,80.14640860156875,80.14640860166875,80.30500805678469,80.30500805688469,80.46343842942578,80.46343842952578,80.77970738569596,80.77970738579596,81.0953000116667,81.0953000117667,81.25085598053522,81.25085598063522,81.40565107781687,81.40565107791687,81.56019255123624,81.56019255133624,82.02364788891951,82.02364788901951,82.17759757332689,82.1775975734269,82.33112455129712,82.33112455139712,82.4844824466925,82.4844824467925,82.79086007233353,82.79086007243353,83.09613866123799,83.09613866133799,83.24805935474708,83.24805935484709,83.39981096568131,83.39981096578131,83.55122441146582,83.55122441156583,83.70238423338806,83.70238423348806,83.85312134887315,83.85312134897315,84.15400379083133,84.15400379093133,84.30364186957985,84.30364186967985,84.4531108657535,84.4531108658535,84.60224169677745,84.60224169687746,84.75027349106483,84.75027349116483,84.89788257891506,84.89788257901506,85.04515350161559,85.04515350171559,85.33952626444176,85.33952626454176,85.48612085684286,85.48612085694286,85.63246182538167,85.63246182548167,85.77838008748333,85.77838008758333,85.92294568898613,85.92294568908613,86.06725766662665,86.06725766672665,86.21140056169232,86.21140056179232,86.35545891547055,86.35545891557055,86.49917910409907,86.49917910419907,86.78611223363154,86.78611223373154,86.92924063324806,86.92924063334806,87.07050912454115,87.07050912464115,87.2116085332594,87.2116085333594,87.493046479109,87.493046479209,87.63330047495295,87.63330047505295,87.77338538822205,87.77338538832205,88.05262526059852,88.05262526069852,88.19076572425675,88.19076572435675,88.32873710534014,88.32873710544014,88.46535582582466,88.46535582592466,88.60155183987204,88.60155183997205,88.73698698233257,88.73698698243257,88.87106946419424,88.87106946429424,89.00498286348103,89.00498286358103,89.13847355633071,89.13847355643071,89.27154154274324,89.27154154284324,89.40249599697005,89.40249599707005,89.53311228604714,89.53311228614714,89.66347495126195,89.66347495136195,89.79375307518933,89.79375307528933,90.18340386894748,90.18340386904748,90.31216024970115,90.31216024980115,90.44074754787995,90.44074754797995,90.56916576348391,90.56916576358391,90.69741489651301,90.69741489661301,90.82557948825468,90.82557948835468,90.9533213735592,90.95332137365921,91.08072509371402,91.08072509381402,91.2080442725814,91.2080442726814,91.33510982758649,91.3351098276865,91.46056909813045,91.46056909823045,91.58535203837498,91.58535203847498,91.6950020881698,91.6950020882698,91.80270768835376,91.80270768845376,91.9032272791063,91.9032272792063,91.99951980548741,91.99951980558741,92.09513600156909,92.09513600166909,92.19066765636333,92.19066765646333,92.28603022858273,92.28603022868273,92.3807164705027,92.3807164706027,92.47168289577581,92.47168289587582,92.55690051350378,92.55690051360378,92.6304514335666,92.63045143366661,92.69867625252144,92.69867625262144,92.75954597946999,92.75954597956999,92.80562098111855,92.80562098121855,92.84983607444367,92.84983607454367,92.89295213103223,92.89295213113223,92.92972759106365,92.92972759116365,92.96472768405907,92.96472768415907,92.99550071268305,92.99550071278306,93.02297663109734,93.02297663119734,93.03844768669676,93.03844768679676,93.05053709079904,93.05053709089904,93.06245741232645,93.06245741242645,93.07429319256646,93.07429319266646,93.08139466071044,93.08139466081045,93.08688984439331,93.08688984449331],[0.0,1e-10,1.8286950011201955,1.8286950012201955,3.572689190146621,3.572689190246621,5.133686221469326,5.133686221569326,6.6858110501687955,6.6858110502687955,8.1383629573413,8.1383629574413,9.481129335650744,9.481129335750744,10.782598483044838,10.782598483144838,12.057514851365074,12.057514851465074,13.328601491934274,13.328601492034274,14.466732750746637,14.466732750846637,15.584374966090952,15.584374966190952,16.612401552061,16.612401552161,17.622875219172126,17.622875219272125,18.598243048565415,18.598243048665413,19.487697318743773,19.48769731884377,20.37504523865906,20.375045238759057,21.259712349148618,21.259712349248616,22.12146492192781,22.12146492202781,22.97938776695596,22.979387767055957,23.82441719522229,23.824417195322287,24.661978654374092,24.66197865447409,25.487859443885235,25.487859443985233,26.288017228668576,26.288017228768574,27.08415379931333,27.08415379941333,27.869822447438583,27.86982244753858,28.611959856793714,28.611959856893712,29.345608036300714,29.345608036400712,30.06349050323261,30.06349050333261,30.768798697381936,30.768798697481934,31.472255856451593,31.47225585655159,32.15675586315361,32.156755863253615,32.84068141069298,32.84068141079298,33.502139222092936,33.50213922219294,34.16289491673853,34.16289491683853,34.81414012080238,34.81414012090238,35.46334280339901,35.46334280349901,36.112034855628835,36.11203485572884,36.744514393712606,36.74451439381261,37.375270554308415,37.37527055440842,38.00328207668264,38.00328207678264,38.62899576240624,38.62899576250624,39.22132698789998,39.22132698799998,39.7825097610186,39.782509761118604,40.34139469748661,40.341394697586615,40.89670522138699,40.89670522148699,41.450802998166196,41.4508029982662,41.98185857964334,41.98185857974334,42.49044642498106,42.49044642508106,42.995715172934545,42.99571517303455,43.49568613083244,43.49568613093244,43.991763532183434,43.991763532283436,44.487457960759336,44.48745796085934,44.97906734640079,44.97906734650079,45.47010227287959,45.470102272979595,45.96030742501234,45.96030742511234,46.44387438237661,46.443874382476615,46.919207425076166,46.91920742517617,47.3827959693392,47.3827959694392,47.826789073276096,47.8267890733761,48.27065451962129,48.27065451972129,48.709349833502586,48.70934983360259,49.146577085079315,49.14657708517932,49.58227244555563,49.58227244565563,50.01630825733983,50.01630825743983,50.44759943090246,50.44759943100246,50.87282686885927,50.87282686895927,51.29735219006173,51.29735219016173,51.717345666758796,51.7173456668588,52.13319027172557,52.13319027182557,52.54437537459525,52.54437537469525,52.949688228246664,52.949688228346666,53.3508522101678,53.3508522102678,53.735803677942876,53.73580367804288,54.11992537137189,54.11992537147189,54.50372792082165,54.503727920921655,54.88689218231291,54.886892182412915,55.269864957416615,55.26986495751662,55.648816518381736,55.64881651848174,56.02764042175515,56.02764042185515,56.40333671413189,56.40333671423189,56.7769904850414,56.776990485141404,57.14841024809615,57.14841024819615,57.51874492162143,57.518744921721435,57.8871647312712,57.8871647313712,58.253222875474485,58.25322287557449,58.612834311296865,58.61283431139687,58.971615972773186,58.97161597287319,59.32631259131507,59.326312591415075,59.675136960638696,59.6751369607387,60.02064223257809,60.02064223267809,60.3623816055623,60.3623816056623,60.70405714975065,60.704057149850655,61.0448390907971,61.0448390908971,61.38440828472238,61.384408284822385,61.72365833466842,61.72365833476842,62.0627168982269,62.062716898326904,62.39698830209658,62.39698830219658,62.729600157274156,62.72960015737416,63.053339809828486,63.05333980992849,63.37459013934465,63.37459013944465,63.69373411859773,63.69373411869773,64.0107079187919,64.0107079188919,64.32525622474374,64.32525622484374,64.63788966682007,64.63788966692007,64.94911887538768,64.94911887548768,65.25773110332541,65.25773110342541,65.56308806267477,65.56308806277477,65.86806204924902,65.86806204934902,66.1708020279685,66.17080202806851,66.46996759412035,66.46996759422035,66.76798424194688,66.76798424204688,67.06549025940662,67.06549025950662,67.35769848681073,67.35769848691073,67.64926842625636,67.64926842635636,67.94000859135592,67.94000859145592,68.22947218053847,68.22947218063847,68.51734004982475,68.51734004992475,68.80501643272349,68.80501643282349,69.09218218525542,69.09218218535543,69.37366717495665,69.37366717505665,69.65336495837406,69.65336495847406,69.92821175330681,69.92821175340681,70.20190962991425,70.20190963001426,70.47528836254246,70.47528836264246,70.74668840249927,70.74668840259928,71.0174501544976,71.0174501545976,71.28674384419135,71.28674384429135,71.55086740142121,71.55086740152122,71.81479947226352,71.81479947236352,72.06864659336142,72.06864659346142,72.31579169089501,72.31579169099501,72.55980917743193,72.55980917753193,72.80178414250162,72.80178414260162,73.04209955887919,73.04209955897919,73.28139371452316,73.28139371462316,73.51692197121194,73.51692197131194,73.74874815774137,73.74874815784138,73.97808502123264,73.97808502133265,74.20735805592807,74.20735805602807,74.43631194664424,74.43631194674424,74.89019851393797,74.89019851403798,75.11353547061928,75.11353547071928,75.33521287860849,75.33521287870849,75.55657114261842,75.55657114271843,75.77697197469061,75.77697197479061,75.99673451880429,75.99673451890429,76.21464602783828,76.21464602793829,76.43153627613869,76.43153627623869,76.64542657103411,76.64542657113411,76.85835943399177,76.85835943409177,77.07078166658262,77.07078166668262,77.28282092639837,77.28282092649837,77.49083897207554,77.49083897217554,77.69706981146888,77.69706981156888,77.90323682206638,77.90323682216638,78.10685068082985,78.10685068092985,78.30989008043066,78.30989008053066,78.51139758893106,78.51139758903106,78.71188383669785,78.71188383679785,78.91217859807709,78.91217859817709,79.11215421547708,79.11215421557708,79.30772564596337,79.30772564606337,79.50176518534924,79.50176518544924,79.69440049122642,79.69440049132642,79.88582304998242,79.88582305008242,80.07245844904962,80.07245844914962,80.2562853810994,80.2562853811994,80.4373676749276,80.4373676750276,80.6139181242504,80.6139181243504,80.79034091598152,80.79034091608152,80.96574244697902,80.96574244707902,81.14018654603875,81.14018654613875,81.31277961001882,81.31277961011882,81.48473438604039,81.48473438614039,81.65605087410344,81.65605087420344,81.82411209357812,81.82411209367812,81.9919179978694,81.9919179979694,82.1583834974478,82.1583834975478,82.32465751063866,82.32465751073866,82.49022940707516,82.49022940717516,82.6531843228818,82.6531843229818,82.81601158109672,82.81601158119672,82.97877501051579,82.97877501061579,83.1396874048552,83.1396874049552,83.2999615112361,83.29996151133611,83.4592143568834,83.4592143569834,83.61553107792156,83.61553107802156,83.76795424241283,83.76795424251283,83.92031357810825,83.92031357820825,84.07018359076551,84.07018359086551,84.36934915691735,84.36934915701735,84.5179425936576,84.5179425937576,84.81481032315881,84.81481032325881,84.96161655361523,84.96161655371523,85.10791215370485,85.10791215380485,85.2521014035314,85.2521014036314,85.39520556382848,85.39520556392849,85.53607571627079,85.53607571637079,85.6763075807546,85.6763075808546,85.81494372534213,85.81494372544213,85.95255860919607,85.95255860929608,86.08959903388734,86.08959903398734,86.22529905386575,86.22529905396576,86.36042461468152,86.36042461478152,86.49542251790557,86.49542251800557,86.62933533160017,86.62933533170018,86.76209922696945,86.76209922706946,86.89333123123832,86.89333123133832,87.0244355779155,87.0244355780155,87.15375271830884,87.15375271840884,87.28172945398933,87.28172945408933,87.40957853207811,87.40957853217812,87.53283193686566,87.53283193696566,87.65589385526565,87.65589385536565,87.77850897209468,87.77850897219469,87.89959219782331,87.89959219792331,88.14035441577184,88.14035441587184,88.2597142640125,88.2597142641125,88.3790102834573,88.3790102835573,88.6173470071635,88.6173470072635,88.7358770810581,88.73587708115811,88.84815193295934,88.84815193305934,88.96036295606473,88.96036295616473,89.07244632157841,89.07244632167841,89.18440202950039,89.18440202960039,89.29540030548462,89.29540030558462,89.40537732073523,89.40537732083523,89.51401393127298,89.51401393137299,89.62239522662733,89.62239522672733,89.72988291883978,89.72988291893978,89.83698763827711,89.83698763837711,89.94358172734763,89.94358172744764,90.05011198762232,90.05011198772232,90.15530184318413,90.15530184328414,90.26010872597085,90.26010872607085,90.36472412237002,90.36472412247002,90.46908420358578,90.46908420368578,90.67563418695838,90.67563418705838,90.7775687739318,90.7775687740318,90.87848210017164,90.87848210027164,90.9790762824322,90.9790762825322,91.07922366312182,91.07922366322182,91.17886041344464,91.17886041354464,91.27683761507534,91.27683761517534,91.37341058319733,91.37341058329733,91.46762188587283,91.46762188597283,91.5616417021608,91.5616417022608,91.654704086511,91.654704086611,91.74502183263962,91.74502183273962,91.83246728295497,91.83246728305497,91.91627449190683,91.91627449200683,91.98265643959147,91.98265643969147,92.04061298622383,92.04061298632384,92.09850570406034,92.09850570416035,92.14829216482383,92.14829216492383,92.24601405127112,92.24601405137112,92.29133249632505,92.29133249642506,92.3327573848321,92.33275738493211,92.36735259218314,92.36735259228314,92.40073505241301,92.40073505251301,92.43290476552173,92.43290476562173,92.46392556030513,92.46392556040513,92.49130811372504,92.49130811382504,92.51186098598895,92.51186098608895,92.5236693132213,92.5236693133213,92.52966922003127,92.52966922013127,92.53503083888272,92.53503083898272,92.54026480014247,92.54026480024247,92.54441367187276,92.54441367197276],[0.0,1e-10,1.8986947123378783,1.8986947124378784,3.3603233081144,3.3603233082144,4.734395784835384,4.734395784935384,5.987136785001662,5.987136785101662,7.187590933654805,7.187590933754805,8.311011286165613,8.311011286265613,9.412022988027935,9.412022988127935,10.497900731626206,10.497900731726206,11.476736572996343,11.476736573096343,12.429136701862321,12.429136701962321,13.377120053209179,13.377120053309179,14.280805724143665,14.280805724243665,15.172150399068839,15.172150399168839,16.05414189807117,16.054141898171167,16.928079273362155,16.928079273462153,17.789870510475556,17.789870510575554,18.64841411706019,18.64841411716019,19.50111198869305,19.50111198879305,20.337701612903224,20.337701613003222,21.170523985700033,21.17052398580003,21.98639372713668,21.986393727236678,22.799795269371465,22.799795269471463,23.60644174010642,23.606441740206417,24.41295830562022,24.412958305720217,25.16881183488527,25.168811834985267,25.904789865314267,25.904789865414266,26.627907278849353,26.62790727894935,27.331863672264717,27.331863672364715,28.031728051213836,28.031728051313834,28.720030865480545,28.720030865580544,29.37826062105088,29.37826062115088,30.034476845693383,30.03447684579338,30.686341245427336,30.686341245527334,31.328462753574993,31.32846275367499,31.96960997256402,31.969609972664017,32.601274110409044,32.601274110509046,33.230015380778184,33.230015380878186,33.83024245510475,33.830242455204754,34.41754395992684,34.41754396002684,35.001467928999006,35.00146792909901,35.58279379364816,35.58279379374816,36.16340517958098,36.16340517968098,36.741093698037915,36.74109369813792,37.31553458596608,37.31553458606608,37.875166278683075,37.87516627878308,38.431355483039574,38.431355483139576,38.96903319338211,38.96903319348211,39.489888177585634,39.489888177685636,40.00892448869305,40.00892448879305,40.527311273694714,40.527311273794716,41.04316490688394,41.04316490698394,41.558304061356836,41.55830406145684,42.07123482707017,42.07123482717017,42.582541777519126,42.58254177761913,43.08072830063186,43.08072830073186,43.57813539241769,43.578135392517694,44.06190243598271,44.06190243608271,44.54495500083139,44.544955000931395,45.01910905803126,45.019109058131264,45.485793565014966,45.48579356511497,45.95228321416695,45.95228321426695,46.409809403059526,46.40980940315953,46.86246414615896,46.862464146258965,47.76316199700698,47.763161997106984,48.205489275024945,48.20548927512495,48.64145119720652,48.64145119730652,49.076568735450614,49.076568735550616,49.51142646325241,49.511426463352414,49.94414075490522,49.94414075500522,50.361915946125706,50.36191594622571,50.77462483372132,50.77462483382132,51.180838460259395,51.180838460359396,51.58049187312937,51.58049187322937,51.97982052294646,51.97982052304646,52.375901542234786,52.37590154233479,52.77159284585966,52.77159284595966,53.164945855503824,53.164945855603825,53.55686990771533,53.55686990781533,53.94580613984037,53.94580613994037,54.33129988360492,54.33129988370492,54.71445533338876,54.714455333488765,55.09092066428334,55.09092066438334,55.466346753408715,55.46634675350872,55.838979880279346,55.83897988037935,56.2102490023279,56.2102490024279,56.58093355088128,56.58093355098128,56.94707141669438,56.94707141679438,57.31178032507483,57.31178032517483,57.675514944296644,57.675514944396646,58.0380804165281,58.038080416628105,58.39941178915863,58.39941178925863,58.75996373046225,58.759963730562255,59.47723540904556,59.477235409145564,59.83369533588294,59.833695335982945,60.18775201612903,60.187752016229034,60.54050964416362,60.54050964426362,60.892228030428996,60.892228030529,61.237256297805125,61.23725629790513,61.579946271200534,61.579946271300535,61.91808956185567,61.918089561955675,62.256102947289655,62.25610294738966,62.59067384436315,62.590673844463154,62.91647613900898,62.91647613910898,63.2414990023279,63.2414990024279,63.56048127286332,63.56048127296332,63.87803458596608,63.87803458606608,64.19039169022281,64.19039169032281,64.49995583222481,64.49995583232482,64.80523310192883,64.80523310202884,65.10739264632524,65.10739264642524,65.4041611240439,65.4041611241439,65.6989810234453,65.6989810235453,65.99289158629864,65.99289158639864,66.28628252826738,66.28628252836738,66.57889403890921,66.57889403900921,66.87118078649817,66.87118078659817,67.16294791320253,67.16294791330253,67.45296131942135,67.45296131952135,67.74245510475556,67.74245510485557,68.03019516960426,68.03019516970426,68.31455769870303,68.31455769880303,68.59593240771532,68.59593240781533,68.87431929664118,68.87431929674118,69.14802959760559,69.14802959770559,69.42135018290655,69.42135018300655,69.69434600515464,69.69434600525464,69.95493587878283,69.95493587888284,70.2148762263053,70.2148762264053,70.46611292401064,70.46611292411065,70.71598561689392,70.71598561699392,70.96514383106086,70.96514383116086,71.21391232956435,71.21391232966435,71.46027758147656,71.46027758157656,71.70605825989358,71.70605825999358,71.95157912786831,71.95157912796832,72.19287807615564,72.19287807625564,72.42943548387096,72.42943548397096,72.66397936065846,72.66397936075846,72.89754894828732,72.89754894838732,73.1305989150316,73.1305989151316,73.36254468739608,73.36254468749608,73.59325636015963,73.59325636025963,73.82377317509145,73.82377317519145,74.05065264383106,74.05065264393106,74.27733725473894,74.27733725483894,74.50187842949784,74.50187842959784,74.72564017292983,74.72564017302983,74.94738838543398,74.94738838553398,75.16816230877951,75.16816230887952,75.38887127951446,75.38887127961446,75.60938539241769,75.6093853925177,75.8297046474892,75.8297046475892,76.04982904472897,76.04982904482897,76.26858943714666,76.26858943724666,76.48618068257399,76.48618068267399,76.70123877618889,76.70123877628889,76.91558239108747,76.91558239118747,77.1297311481543,77.12973114825431,77.34284066345195,77.34284066355195,77.55562541569671,77.55562541579671,77.76620177918191,77.76620177928191,77.97508937479215,77.97508937489215,78.18293772863319,78.1829377287332,78.38890245676754,78.38890245686754,78.59473727968074,78.59473727978074,78.80037724476222,78.80037724486222,79.00465320502161,79.00465320512161,79.20717544479548,79.20717544489548,79.40774910625208,79.40774910635209,79.60559475806451,79.60559475816451,79.80162173678085,79.80162173688085,79.99680433155969,79.99680433165969,80.1891939640838,80.1891939641838,80.3797649235118,80.3797649236118,80.57020597771866,80.57020597781866,80.7590881692717,80.75908816937171,80.94667130861323,80.94667130871323,81.1334100640173,81.1334100641173,81.31956424592617,81.31956424602618,81.50448432823411,81.50448432833412,81.68778059527769,81.68778059537769,81.8704273362155,81.8704273363155,82.04891711007649,82.04891711017649,82.40531208430329,82.40531208440329,82.58308737944796,82.58308737954796,82.75923885932824,82.75923885942824,82.93454595527103,82.93454595537104,83.10959324077153,83.10959324087153,83.28249709012304,83.28249709022305,83.45364721898902,83.45364721908902,83.62291372214833,83.62291372224833,83.79205032008646,83.79205032018646,83.95839395576986,83.95839395586987,84.12421797056868,84.12421797066868,84.28958731709345,84.28958731719345,84.45359265879614,84.45359265889614,84.61441532258064,84.61441532268064,84.77439360242766,84.77439360252767,84.93281301962088,84.93281301972088,85.09110253159295,85.09110253169295,85.24828784918523,85.24828784928523,85.40462878284004,85.40462878294004,85.55655293897573,85.55655293907573,85.70003325573661,85.70003325583662,85.8427341411706,85.8427341412706,85.98537007399402,85.98537007409402,86.12742143332225,86.12742143342226,86.26797888260725,86.26797888270725,86.4084064266711,86.40840642677111,86.54798958679747,86.54798958689747,86.68737788909212,86.68737788919212,86.82650638094447,86.82650638104447,86.96446572580645,86.96446572590645,87.10223021283672,87.10223021293672,87.2396699368141,87.2396699369141,87.51136670685068,87.51136670695068,87.64490927419355,87.64490927429355,87.77838688892584,87.77838688902584,87.90991592534087,87.90991592544087,88.04014590954439,88.0401459096444,88.17024598852677,88.17024598862677,88.29989139923512,88.29989139933512,88.42797794728966,88.42797794738966,88.55340143831062,88.55340143841062,88.67869502411041,88.67869502421041,88.8032091785833,88.8032091786833,88.92765838044562,88.92765838054562,89.05009405138011,89.05009405148012,89.17175029098769,89.17175029108769,89.29327662537413,89.29327662547414,89.41447819670768,89.41447819680768,89.5349652893249,89.5349652894249,89.65382856667775,89.65382856677775,89.77230212836714,89.77230212846715,89.88707339125374,89.88707339135374,90.00164979630861,90.00164979640861,90.11531686481543,90.11531686491543,90.22774983372132,90.22774983382132,90.33725993515131,90.33725993525131,90.44618546308614,90.44618546318614,90.55433155969405,90.55433155979405,90.66195803541736,90.66195803551736,90.76912984286665,90.76912984296665,90.87604183987362,90.87604183997362,90.98184964250083,90.98184964260084,91.08473457765214,91.08473457775214,91.18748960758231,91.18748960768231,91.29004977968074,91.29004977978074,91.39085623129365,91.39085623139366,91.49140287246425,91.49140287256425,91.59149484536083,91.59149484546083,91.69145691303625,91.69145691313625,91.7910942176588,91.7910942177588,91.88975723312271,91.88975723322271,91.9877057698703,91.9877057699703,92.08552440139674,92.08552440149674,92.18314817509145,92.18314817519145,92.26797628450282,92.26797628460282,92.35137543648155,92.35137543658155,92.42022520369139,92.42022520379139,92.47673397489191,92.47673397499192,92.52512366977054,92.52512366987054,92.56727791403392,92.56727791413392,92.60936720568674,92.60936720578674,92.6465850515464,92.6465850516464,92.68055526687729,92.6805552669773,92.71082318340538,92.71082318350538,92.73492060192883,92.73492060202884,92.75856335217826,92.75856335227826,92.77993276105754,92.77993276115754,92.80123721732623,92.80123721742623,92.81903423262388,92.81903423272388,92.82812759810442,92.82812759820442,92.83481771699368,92.83481771709369,92.84027373628201,92.84027373638202],[0.0,1e-10,0.9375439595841011,0.9375439596841011,1.8706593981032036,1.8706593982032036,2.762876142080849,2.762876142180849,3.6253089110527204,3.6253089111527204,4.409591308289323,4.409591308389323,5.178330464925245,5.178330465025245,5.89001985019442,5.89001985029442,6.569146580573902,6.569146580673902,7.242542283692796,7.242542283792796,7.911596299493064,7.911596299593064,8.565628077170887,8.565628077270887,9.21896518487773,9.21896518497773,9.87117345388173,9.87117345398173,10.517737529371514,10.517737529471514,11.128352433863077,11.128352433963077,11.73653599345621,11.73653599355621,12.29852399997916,12.29852400007916,12.85773332661819,12.85773332671819,13.404264926286833,13.404264926386833,13.942547320050085,13.942547320150085,14.475880190270106,14.475880190370106,15.008778891758261,15.008778891858261,15.536467568464067,15.536467568564067,16.062940572720656,16.062940572820654,16.58811107078166,16.58811107088166,17.106161201640116,17.106161201740115,17.610925769303577,17.610925769403575,18.113172158322232,18.11317215842223,18.602046150399524,18.602046150499522,19.08640478766544,19.08640478776544,19.570676591184984,19.570676591284982,20.05486156095816,20.054861561058157,20.538699195745842,20.53869919584584,21.017760974483036,21.017760974583034,21.48926821728582,21.489268217385817,21.955478601559882,21.95547860165988,22.412484608718454,22.412484608818453,22.867319772217716,22.867319772317714,23.31842108462296,23.318421084722956,23.763704536021244,23.763704536121242,24.201259783992374,24.20125978409237,24.630392158565368,24.630392158665366,25.059264031899247,25.059264031999245,25.4853572253492,25.4853572254492,25.911016250067295,25.911016250167293,26.335893771068037,26.335893771168035,26.75938195212682,26.759381952226818,27.17913628209158,27.17913628219158,27.594027922259485,27.594027922359484,28.0066618850217,28.006661885121698,28.417472339110095,28.417472339210093,28.819078416083,28.819078416182997,29.219642488099435,29.219642488199433,29.610654848014892,29.61065484811489,29.99958319801741,29.99958319811741,30.38538553315052,30.385385533250517,31.145701816388307,31.145701816488305,31.518392255819162,31.51839225591916,31.889519687815316,31.889519687915314,32.26038661857235,32.26038661867235,32.62943004065556,32.629430040755565,32.99317660421005,32.99317660431005,33.355186492837085,33.35518649293709,33.71641487774677,33.71641487784677,34.07503825026528,34.07503825036528,34.432966952812805,34.43296695291281,35.14760868545865,35.14760868555865,35.4934674972604,35.4934674973604,35.836721296670966,35.83672129677097,36.17962776109605,36.17962776119605,36.86431185124337,36.86431185134337,37.20539480699463,37.205394807094635,37.545869926521284,37.545869926621286,37.884000534895875,37.88400053499588,38.2204813020894,38.2204813021894,38.55557272934095,38.555572729440954,38.89022998786064,38.890229987960645,39.21967722159798,39.219677221697985,39.547387780407874,39.547387780507876,39.87466417048591,39.87466417058591,40.20072488811472,40.20072488821472,40.52539626580157,40.52539626590157,40.84885197103921,40.84885197113921,41.17169984005224,41.17169984015224,41.49437404157253,41.49437404167253,41.8154852356581,41.8154852357581,42.13642276225094,42.13642276235094,42.45649195138005,42.456491951480054,42.77291412316151,42.772914123261515,43.088554791225626,43.08855479132563,43.399072268253754,43.399072268353756,43.70906874280365,43.70906874290365,44.01758904366522,44.01758904376522,44.324112168360216,44.32411216846022,44.62959328809874,44.62959328819874,44.93333773290981,44.933337733009814,45.23690851022815,45.23690851032815,45.539697783829126,45.53969778392913,45.842139722444614,45.842139722544616,46.14423432607461,46.14423432617461,46.44537375849451,46.44537375859451,46.74512385097245,46.74512385107245,47.04365827100118,47.04365827110118,47.33984817987784,47.33984817997784,47.63569075376902,47.63569075386902,47.928233645298036,47.92823364539804,48.21851885942137,48.218518859521375,48.50428871873334,48.504288718833344,48.784588052023835,48.78458805212384,49.06401904785061,49.06401904795061,49.34284220745277,49.34284220755277,49.61550017106248,49.61550017116248,49.88789763343308,49.88789763353308,50.15881892211534,50.15881892221534,50.42921920831937,50.42921920841937,50.69849065582055,50.69849065592055,50.96645959712615,50.966459597226155,51.23347336722165,51.23347336732165,51.50005296858529,51.50005296868529,51.76437489254324,51.76437489264324,52.02843631526207,52.02843631536207,52.29162940051718,52.29162940061718,52.55438831704043,52.55438831714043,53.07921148011594,53.07921148021594,53.34084155793634,53.340841558036345,53.5997797896192,53.5997797897192,53.85524467144715,53.855244671547155,54.110362218289616,54.11036221838962,54.361659080291695,54.361659080391696,54.61226127232278,54.612261272422785,54.85878227827437,54.85878227837437,55.10495594924046,55.104955949340464,55.350869118967445,55.35086911906745,55.596000784977065,55.59600078507707,55.8401772797766,55.8401772798766,56.083224935873275,56.08322493597328,56.32601209073084,56.326012090830844,56.56793090812469,56.56793090822469,56.809068221801176,56.80906822190118,57.04916353052119,57.04916353062119,57.28873783676298,57.28873783686298,57.52805164176564,57.528051641865645,57.76649710930458,57.76649710940458,58.00337956940882,58.00337956950882,58.240001528273936,58.24000152837394,58.47514731345072,58.47514731355072,58.70994576364202,58.70994576374202,58.94465738008694,58.94465738018694,59.17876116030725,59.178761160407255,59.412083436810214,59.412083436910216,59.6453188795668,59.6453188796668,59.8756888086931,59.8756888087931,60.10527723410204,60.10527723420204,60.334778825764616,60.33477882586462,60.56410674993444,60.56410675003444,60.79230583540142,60.79230583550142,61.017378905998996,61.017378906099,61.24210464161108,61.24210464171108,61.465527871027575,61.46552787112758,61.68808276298034,61.688082763080345,61.910116652454874,61.910116652554876,62.13145587195843,62.13145587205843,62.57404747721917,62.57404747731917,62.79408419052713,62.79408419062713,63.01281839763951,63.012818397739515,63.230597433541796,63.2305974336418,63.44742129823398,63.44742129833398,63.66398466168704,63.66398466178704,63.879245518944515,63.87924551904452,64.3096803997131,64.3096803998131,64.52303091455039,64.52303091465039,64.73586042690943,64.73586042700943,64.94834260428298,64.94834260438299,65.37313329153736,65.37313329163736,65.58509446643268,65.58509446653268,65.79488479766869,65.79488479776869,66.0043277939192,66.0043277940192,66.21342345518424,66.21342345528424,66.42243228270289,66.42243228280289,66.63083327399694,66.63083327409694,66.83845276157363,66.83845276167364,67.04589858165758,67.04589858175758,67.25178139430683,67.25178139440683,67.45401718960844,67.45401718970844,67.6557319824318,67.6557319825318,67.85675210528419,67.85675210538419,68.05751172689745,68.05751172699745,68.25748984479335,68.25748984489336,68.4567732927183,68.4567732928183,68.65570940565775,68.65570940575775,68.8533430124016,68.8533430125016,69.05002144793535,69.05002144803535,69.24626571473725,69.24626571483725,69.44164164407542,69.44164164417542,69.63684390592084,69.63684390602084,69.83074366157068,69.83074366167068,70.02420924848866,70.02420924858866,70.21698016543566,70.21698016553566,70.40914324615804,70.40914324625804,70.60104582564131,70.60104582574131,70.79268790388547,70.79268790398547,70.98380897965139,70.98380897975139,71.1745827204318,71.1745827205318,71.36448812374852,71.36448812384852,71.55239635089865,71.55239635099865,71.73934940683868,71.73934940693869,71.92552095906136,71.92552095916136,72.10986900261022,72.10986900271023,72.29404337866634,72.29404337876635,72.4774362510051,72.4774362511051,72.6607422895975,72.6607422896975,72.84257215450155,72.84257215460156,73.02353368194188,73.02353368204189,73.20432154188947,73.20432154198947,73.38502256809068,73.38502256819068,73.74599045176124,73.74599045186125,73.92460746804953,73.92460746814953,74.10279031560593,74.10279031570593,74.28027849319136,74.28027849329136,74.45724566829857,74.45724566839857,74.63386550842027,74.63386550852027,74.80866183986815,74.80866183996815,74.98328450382328,74.98328450392329,75.33218249674808,75.33218249684808,75.50567632200037,75.50567632210037,75.67856231102806,75.67856231112806,75.85101413132388,75.85101413142388,76.0228581153951,76.0228581154951,76.19452843197358,76.19452843207358,76.36550407858107,76.36550407868107,76.53595872271032,76.53595872281032,76.7063265330932,76.7063265331932,76.87608650725149,76.87608650735149,77.04549914642428,77.04549914652428,77.21421711562608,77.21421711572609,77.38276141733515,77.38276141743515,77.55095838405872,77.55095838415872,77.71906851703591,77.71906851713591,77.88665764753488,77.88665764763488,78.05337844057011,78.05337844067012,78.21870989366339,78.21870989376339,78.38386767926393,78.38386767936393,78.54885179737171,78.54885179747171,78.71348858049402,78.71348858059402,79.04224114426037,79.04224114436037,79.20627009115806,79.20627009125806,79.36977803557753,79.36977803567753,79.69635975568457,79.69635975578457,79.8589993626403,79.8589993627403,80.02146530210328,80.02146530220328,80.34631034728288,80.34631034738288,80.50834211801401,80.50834211811402,80.67028705499875,80.67028705509875,80.83171098950527,80.83171098960527,80.99287442277267,80.99287442287267,81.15308268482997,81.15308268492997,81.31276994440904,81.31276994450904,81.47193620150986,81.47193620160986,81.79018188196515,81.79018188206516,81.948653469095,81.94865346919501,82.10677772123935,82.10677772133936,82.2646414721446,82.2646414722446,82.42215788806435,82.42215788816435,82.57897963401312,82.57897963411313,82.7351935437373,82.7351935438373,82.8909732847296,82.8909732848296,83.04597152200454,83.04597152210454,83.20010142181576,83.20010142191576,83.35371031914875,83.35371031924875,83.507145548989,83.507145549089,83.65971244136551,83.65971244146552,83.81219249999566,83.81219250009566,83.96415155614757,83.96415155624757,84.1154159423285,84.1154159424285,84.26633299352395,84.26633299362395,84.4165553747484,84.4165553748484,84.71639230097271,84.71639230107272,84.86496484101609,84.86496484111609,85.0134505473131,85.0134505474131,85.16176258611736,85.16176258621736,85.30946678869702,85.30946678879702,85.4570841575303,85.4570841576303,85.6043541913781,85.60435419147811,85.7512768902404,85.7512768903404,85.89793908786359,85.8979390879636,86.04451445174041,86.04451445184041,86.19056881313898,86.19056881323898,86.33644950704482,86.33644950714482,86.48224336720428,86.48224336730428,86.62690838866091,86.62690838876091,86.77148657637115,86.77148657647115,86.91545692785678,86.91545692795678,87.05925361184968,87.05925361194969,87.34623914361086,87.34623914371086,87.48890698890091,87.48890698900091,87.63079333047361,87.63079333057361,87.77241917080718,87.77241917090718,87.9136108424089,87.9136108425089,88.05471568026425,88.05471568036425,88.19564685062686,88.19564685072686,88.47707502262018,88.47707502272019,88.61748519050455,88.61748519060455,88.75754802340343,88.75754802350343,88.89578734762848,88.89578734772849,89.03359250312167,89.03359250322167,89.17105032362937,89.17105032372938,89.30833447664433,89.30833447674434,89.44466345844918,89.44466345854919,89.58073193901492,89.58073193911493,89.85208739642906,89.85208739652906,89.98667970330645,89.98667970340645,90.12092467519837,90.12092467529837,90.2544749771193,90.2544749772193,90.52122824597569,90.5212282460757,90.65434437916477,90.65434437926477,90.78737367860747,90.78737367870747,90.91970830807918,90.91970830817918,91.05100093259443,91.05100093269444,91.18185938837783,91.18185938847783,91.31002599802366,91.31002599812366,91.43801894017676,91.43801894027676,91.5636673711778,91.5636673712778,91.68636345480216,91.68636345490216,91.79881315635458,91.79881315645459,91.91100235666788,91.91100235676788,92.01841570093069,92.01841570103069,92.1245265389979,92.1245265390979,92.22768502968846,92.22768502978846,92.32233381323451,92.32233381333451,92.41203307323732,92.41203307333733,92.48853360379151,92.48853360389151,92.56173445198354,92.56173445208354,92.62399424813265,92.62399424823265,92.68434370186154,92.68434370196154,92.74339064939485,92.74339064949486,92.79740123963856,92.79740123973856,92.84550713512894,92.84550713522894,92.88866350707609,92.88866350717609,92.92982270285665,92.92982270295666,92.96768221627508,92.96768221637508,93.00406555600516,93.00406555610516,93.0358467071775,93.0358467072775,93.06111532737191,93.06111532747191,93.08438677139975,93.08438677149975,93.10713721294934,93.10713721304934,93.12945348576709,93.12945348586709,93.17234935647511,93.17234935657511,93.18467974846,93.18467974856,93.19223428439442,93.19223428449442,93.19952831908971,93.19952831918971,93.20517251260392,93.20517251270392],[0.0,1e-10,1.2919061015309095,1.2919061016309095,2.486038141989664,2.4860381420896642,3.631472636526823,3.631472636626823,4.625951054860849,4.625951054960849,5.610449950165546,5.610449950265546,6.593053999325435,6.593053999425435,7.543319340947246,7.543319341047246,8.466677867312766,8.466677867412766,9.360603116895586,9.360603116995586,10.251180804955906,10.251180805055906,11.136705569963404,11.136705570063404,11.972964335205862,11.972964335305862,12.802022685098045,12.802022685198045,13.617753950438404,13.617753950538404,14.43070610809971,14.43070610819971,15.21978320433642,15.21978320443642,15.966478908467563,15.966478908567563,16.693405051154528,16.693405051254526,17.416794147704522,17.41679414780452,18.129508944305417,18.129508944405416,18.829907240965056,18.829907241065055,19.51382037616486,19.513820376264857,20.18181680374826,20.181816803848257,20.847097285190767,20.847097285290765,21.4929240128799,21.4929240129799,22.134582079050453,22.13458207915045,22.76221828374942,22.762218283849418,23.38814912691806,23.388149127018057,24.004542577824488,24.004542577924486,24.618156921051867,24.618156921151865,25.227034148917223,25.22703414901722,25.819994669166178,25.819994669266176,26.4053758048359,26.405375804935897,26.989872678971377,26.989872679071375,27.564579514692007,27.564579514792005,28.126780365856895,28.126780365956893,28.68411777858344,28.684117778683436,29.240128799008616,29.240128799108614,29.79481342713243,29.794813427232427,30.344634616817896,30.344634616917894,30.892055668053274,30.892055668153272,31.437645034682,31.437645034781998,31.980897424398798,31.980897424498796,32.51290706032306,32.51290706042306,33.04466405009468,33.04466405019468,33.564609832230325,33.564609832330326,34.08316606052644,34.08316606062644,34.60121699651727,34.601216996617275,35.11825734789754,35.11825734799754,35.621212676268065,35.62121267636807,36.1239785200241,36.123978520124105,36.623586286872126,36.62358628697213,37.1216781768043,37.121678176904304,37.612506489848045,37.612506489948046,38.10301899520098,38.103018995300985,38.59207878517624,38.59207878527624,39.076590944403954,39.076590944503955,39.559713549792136,39.55971354989214,40.04030969365391,40.04030969375391,40.51301064524564,40.513010645345645,40.977816404567335,40.97781640466734,41.43826401775597,41.43826401785597,41.89517458480763,41.89517458490763,42.34785332880254,42.347853328902545,42.79276320360375,42.79276320370375,43.23735727071414,43.237357270814144,43.68188817628638,43.68188817638638,44.12225042034004,44.12225042044004,44.56217053362657,44.56217053372657,44.99950102384853,44.99950102394853,45.43664202945602,45.43664202955602,45.87270928891477,45.87270928901477,46.30751331761032,46.307513317710324,46.74212786169139,46.74212786179139,47.16789979043001,47.167899790530015,47.590260996107986,47.59026099620799,48.00851670180553,48.008516701905535,48.42513020751092,48.42513020761092,48.83675395170164,48.83675395180164,49.24799872666339,49.24799872676339,49.65760130163298,49.65760130173298,50.06360366892743,50.06360366902743,50.46827964392051,50.46827964402051,50.86828166508973,50.868281665189734,51.265820386270704,51.265820386370706,51.66298013822271,51.66298013832271,52.05180256713756,52.05180256723756,52.436393172995665,52.43639317309567,52.81662563272071,52.81662563282071,53.19098406939685,53.19098406949685,53.56490037530586,53.56490037540586,53.93616389661214,53.936163896712145,54.30572205638809,54.305722056488094,54.674711762320605,54.67471176242061,55.03902751442925,55.03902751452925,55.403280104999745,55.403280105099746,55.765258880196455,55.76525888029646,56.12439538617596,56.124395386275964,56.48207917677777,56.482079176877775,57.18873046571529,57.18873046581529,57.537318994822016,57.53731899492202,57.88123357010489,57.88123357020489,58.223569106933745,58.22356910703375,58.565588836071804,58.565588836171806,58.90748224213355,58.90748224223355,59.2491861635808,59.249186163680804,59.58931104657405,59.589311046674055,59.9291201218765,59.9291201219765,60.26842390487367,60.26842390497367,60.60671710326027,60.606717103360275,60.940904801666456,60.94090480176646,61.27022906163429,61.27022906173429,61.59765847545732,61.597658475557324,61.92382465851714,61.92382465861714,62.24992768003881,62.24992768013881,62.57179887850373,62.57179887860373,62.88375371547748,62.883753715577484,63.19520326014595,63.195203260245954,63.50608435097098,63.50608435107098,63.813933687964315,63.81393368806432,64.12096192496156,64.12096192506156,64.42344253121128,64.42344253131128,64.72036492210287,64.72036492220288,65.0137502668575,65.0137502669575,65.30663031930683,65.30663031940684,65.5993208871417,65.5993208872417,65.88904286268303,65.88904286278303,66.17541727670185,66.17541727680185,66.45989684457588,66.45989684467588,66.74399744322093,66.74399744332094,67.02468731880533,67.02468731890534,67.30518770977525,67.30518770987526,67.58259318537533,67.58259318547533,67.85911439944114,67.85911439954114,68.13171959814103,68.13171959824103,68.40293524300138,68.40293524310138,68.67295081863669,68.6729508187367,68.94239794042856,68.94239794052856,69.2117187391441,69.2117187392441,69.4803447609399,69.4803447610399,69.74821284427776,69.74821284437776,70.01140697379175,70.01140697389175,70.27453794176759,70.27453794186759,70.53539509436965,70.53539509446965,70.79113616238074,70.79113616248074,71.0467509073155,71.0467509074155,71.30116558302521,71.30116558312521,71.55488548181516,71.55488548191516,71.80658421138398,71.80658421148398,72.05499854096847,72.05499854106847,72.30271809363319,72.30271809373319,72.55024816168343,72.55024816178343,72.79240949899005,72.79240949909006,73.03160224400312,73.03160224410313,73.26940543517668,73.26940543527668,73.50499797251463,73.50499797261463,73.73389538680757,73.73389538690758,73.95761355497139,73.95761355507139,74.18088959236806,74.18088959246806,74.4023339451581,74.4023339452581,74.61935699027691,74.61935699037691,74.83277982772059,74.83277982782059,75.04443414209578,75.04443414219578,75.25387780263536,75.25387780273536,75.46231087856437,75.46231087866437,75.6702386621881,75.6702386622881,75.87639792274334,75.87639792284334,76.0787043294708,76.0787043295708,76.48218023523883,76.48218023533883,76.68227598813068,76.68227598823069,76.8790873410382,76.8790873411382,77.07577237086939,77.07577237096939,77.27188894685715,77.27188894695715,77.46787919976857,77.46787919986858,77.66014292192855,77.66014292202856,77.8522803210122,77.8522803211122,78.04416507394322,78.04416507404322,78.23535504995446,78.23535505005447,78.42471334135907,78.42471334145907,78.61344001738206,78.61344001748206,78.80210353186689,78.80210353196689,78.98950381558852,78.98950381568852,79.17677777623383,79.17677777633384,79.36386225226465,79.36386225236465,79.54962033599412,79.54962033609412,79.73493628895646,79.73493628905646,79.91772578039239,79.91772578049239,80.09963101029406,80.09963101039406,80.28027300943255,80.28027300953255,80.46066236241838,80.46066236251838,80.64054642309894,80.64054642319894,80.8196093837834,80.8196093838834,80.99778808293362,80.99778808303363,81.17280870517584,81.17280870527584,81.34492389666266,81.34492389676267,81.51640747276791,81.51640747286791,81.68517510273225,81.68517510283225,81.85305847116234,81.85305847126234,82.0206891934398,82.0206891935398,82.18661455418692,82.18661455428692,82.35133984570899,82.351339845809,82.51543352184947,82.51543352194948,82.67845345184122,82.67845345194122,82.84058912029873,82.84058912039873,83.00108258876406,83.00108258886407,83.32042732570258,83.32042732580258,83.47877330187046,83.47877330197046,83.63686663188571,83.63686663198571,83.79432834651935,83.79432834661935,83.95134793038588,83.95134793048588,84.10596737580231,84.10596737590231,84.26039733660426,84.26039733670426,84.41192186665083,84.41192186675083,84.5615515505526,84.5615515506526,84.71010748830564,84.71010748840564,84.85860026452052,84.85860026462052,85.00684039458277,85.00684039468277,85.15425942464891,85.15425942474891,85.30161529317691,85.30161529327691,85.44663418479297,85.44663418489297,85.59133726871823,85.59133726881824,85.73534557572374,85.73534557582374,85.87689058274098,85.87689058284099,86.01830926668191,86.01830926678191,86.15928581985571,86.15928581995571,86.29887281919,86.29887281929,86.43801768775715,86.43801768785715,86.57659410248085,86.57659410258086,86.7151073556664,86.7151073557664,86.85254686270324,86.85254686280324,86.9899232082019,86.9899232083019,87.12704690754794,87.12704690764794,87.26195995305835,87.26195995315835,87.39655719087796,87.39655719097796,87.53109126715941,87.53109126725941,87.66455159729213,87.66455159739213,87.79750663511959,87.79750663521959,87.93039851140887,87.93039851150887,88.06196399539678,88.06196399549678,88.19106617939646,88.19106617949646,88.31959990955268,88.31959990965268,88.44800731663258,88.44800731673259,88.57174076988862,88.57174076998862,88.69503209237755,88.69503209247755,88.81807076871381,88.81807076881381,88.94066731428298,88.94066731438298,89.06206379062708,89.06206379072708,89.3039093202429,89.3039093203429,89.4240425658238,89.4240425659238,89.54341787294678,89.54341787304678,89.66140362623022,89.66140362633023,89.77635762568198,89.77635762578198,89.89030104052318,89.89030104062319,90.00279173998669,90.00279174008669,90.11465082406859,90.11465082416859,90.22632042353601,90.22632042363601,90.33590569224414,90.33590569234414,90.44511199172331,90.44511199182331,90.55343402966824,90.55343402976824,90.66055599838812,90.66055599848812,90.76698319018823,90.76698319028823,90.87265244353043,90.87265244363043,90.97813221225815,90.97813221235815,91.08298036560424,91.08298036570424,91.18650212664899,91.18650212674899,91.28888698000685,91.28888698010685,91.39019808721598,91.39019808731598,91.49011964058559,91.49011964068559,91.58745157089062,91.58745157099062,91.68282549351268,91.68282549361268,91.77118848539895,91.77118848549895,91.85323532346918,91.85323532356918,91.93269253847485,91.93269253857486,92.0096232919541,92.0096232920541,92.08415390698326,92.08415390708326,92.1490208066739,92.1490208067739,92.21085595253284,92.21085595263284,92.2658064907323,92.2658064908323,92.31185125205117,92.31185125215117,92.35574852107258,92.35574852117259,92.39914049778872,92.39914049788872,92.44107975912716,92.44107975922716,92.474113243585,92.474113243685,92.49754617424247,92.49754617434247,92.52053697413282,92.52053697423283,92.5412539586494,92.54125395874941,92.5608340354791,92.5608340355791,92.57460325079805,92.57460325089805,92.58483541998001,92.58483542008001,92.59001466610916,92.59001466620916,92.59506758916199,92.59506758926199,92.59955205837137,92.59955205847137,92.60365755835178,92.60365755845179],[0.0,1e-10,1.7877077992595736,1.7877077993595736,3.2934597225095943,3.2934597226095943,4.746491040419521,4.746491040519521,6.1922747363093,6.1922747364093,7.544365383019289,7.544365383119289,8.819362372918208,8.819362373018208,9.99756853970937,9.99756853980937,11.16250688231849,11.16250688241849,12.268587520296265,12.268587520396265,13.369933824535071,13.369933824635071,14.40663601623935,14.40663601633935,15.438603874204661,15.438603874304661,16.40540158255334,16.405401582653337,17.342039831527856,17.342039831627854,18.244661015859432,18.24466101595943,19.07977410798723,19.07977410808723,19.904074215649487,19.904074215749485,20.724984306560383,20.72498430666038,21.5417445493791,21.5417445494791,22.324546176119554,22.324546176219553,23.075317989416135,23.075317989516133,23.804463833781632,23.80446383388163,24.52799861593799,24.527998616037987,25.241772487793018,25.241772487893016,25.953208417060903,25.9532084171609,26.660143806848534,26.660143806948533,27.363922974143524,27.363922974243522,28.067585244309157,28.067585244409155,28.76914336614636,28.769143366246357,29.46281093175195,29.462810931851948,30.1273711121476,30.127371112247598,30.78637867889878,30.78637867899878,31.443808134403643,31.44380813450364,32.09381462219432,32.093814622294325,32.71722701305624,32.71722701315624,33.33742473286083,33.337424732960834,33.95645348137186,33.95645348147186,34.57507308993013,34.57507309003013,35.187789393455866,35.18778939355587,35.79331652352613,35.79331652362613,36.396564159573934,36.396564159673936,36.98911570828555,36.989115708385555,37.579270865845345,37.57927086594535,38.12044612620448,38.12044612630448,38.654782904496216,38.65478290459622,39.18415155479027,39.18415155489027,39.661968571037804,39.661968571137805,40.13920110163855,40.13920110173855,40.6153231095104,40.6153231096104,41.08992545470061,41.089925454800614,41.56446935132614,41.56446935142614,42.03801962235213,42.03801962245213,42.50812142806209,42.50812142816209,42.97793099094866,42.97793099104866,43.441778800238005,43.44177880033801,43.90077537865903,43.90077537875903,44.35410244630623,44.35410244640623,44.80737106538875,44.80737106548875,45.24754720598326,45.24754720608326,45.68509316116724,45.68509316126724,46.11544994289575,46.11544994299575,46.54142308227337,46.54142308237337,46.96172671087716,46.96172671097716,47.37881566842363,47.37881566852363,47.79152098361921,47.79152098371921,48.20071938493406,48.20071938503406,48.608456572131956,48.60845657223196,49.01566772224774,49.01566772234774,49.42200214389335,49.42200214399335,49.82763518276282,49.82763518286282,50.22146161156721,50.22146161166721,50.61213181787895,50.61213181797895,51.00151615576776,51.00151615586776,51.389030139586865,51.38903013968687,51.77543360067707,51.77543360077707,52.16136947324985,52.16136947334985,52.54637016878777,52.54637016888777,52.92780550188029,52.927805501980295,53.295914562226095,53.2959145623261,53.66232861419622,53.66232861429622,54.02698920922599,54.02698920932599,54.38188889395443,54.381888894054434,54.73433373896637,54.73433373906637,55.08227804449806,55.08227804459806,55.4273583703605,55.4273583704605,55.770451445023866,55.77045144512387,56.11301848260512,56.11301848270512,56.45505948310427,56.45505948320427,56.795463923792425,56.79546392389243,57.13458249605765,57.13458249615765,57.808728241060585,57.80872824116059,58.141066779823085,58.14106677992309,58.468729433411305,58.46872943351131,58.795398461399984,58.795398461499985,59.11493676449788,59.11493676459788,59.43085125658569,59.43085125668569,59.74173917211115,59.741739172211155,60.05233484481322,60.05233484491322,60.36088481775153,60.360884817851534,60.66885030504306,60.66885030514306,60.97289973850112,60.97289973860112,61.58088170828789,61.58088170838789,61.877800416855166,61.87780041695517,62.17319946274079,62.17319946284079,62.46801402297964,62.46801402307964,62.75967236072584,62.75967236082584,63.04905120444957,63.04905120454957,63.33655969410359,63.33655969420359,63.61068346244621,63.61068346254621,63.883988950883335,63.88398895098334,64.15530718812138,64.15530718822139,64.426157836842,64.426157836942,64.6965408970452,64.6965408971452,64.96674861155435,64.96674861165435,65.2356120090759,65.2356120091759,65.50435850946808,65.50435850956808,65.7727543184722,65.7727543185722,66.04021495044147,66.04021495054147,66.30650661111716,66.30650661121716,66.57244758040477,66.57244758050477,66.83634284992864,66.83634285002864,67.09906914815893,67.09906914825893,67.36033423227225,67.36033423237225,67.62054724222138,67.62054724232138,67.87929903805352,67.87929903815352,68.13746634823889,68.13746634833889,68.39218519310822,68.39218519320822,68.64637800089544,68.64637800099544,68.89951873451844,68.89951873461844,69.40293622209519,69.4029362221952,69.65262849040217,69.65262849050217,69.9010348902862,69.9010348903862,70.14768783322988,70.14768783332988,70.3901324795167,70.3901324796167,70.63140815450996,70.63140815460996,70.87069657830412,70.87069657840412,71.10817309659326,71.10817309669326,71.33863578712098,71.33863578722098,71.56594225515605,71.56594225525605,71.78600110117095,71.78600110127095,72.00576770436248,72.00576770446249,72.22541741042465,72.22541741052466,72.44495021935747,72.44495021945747,72.66325560843202,72.66325560853203,72.88121030611852,72.88121030621852,73.09822982677015,73.09822982687015,73.31361278761078,73.31361278771078,73.5281774685459,73.52817746864591,73.74192386957553,73.74192386967553,73.94947472274923,73.94947472284923,74.1568502302289,74.1568502303289,74.36188779512142,74.36188779522142,74.56359379182726,74.56359379192726,74.7644815086276,74.7644815087276,74.96174541441786,74.96174541451786,75.15819104030263,75.15819104040263,75.34300540181634,75.34300540191634,75.52758596907135,75.52758596917135,75.71164049924425,75.71164049934426,75.89493519807634,75.89493519817634,76.07787920552035,76.07787920562035,76.25714095338961,76.25714095348961,76.43587666417676,76.43587666427676,76.61285891802355,76.61285891812355,76.7891397890942,76.7891397891942,76.96460238025935,76.96460238035935,77.1379023745314,77.1379023746314,77.304188541042,77.304188541142,77.46918883912967,77.46918883922967,77.63354620300589,77.6335462031059,77.79708528697661,77.79708528707661,77.96050747381797,77.96050747391797,78.1198967096965,78.1198967097965,78.27764938576404,78.27764938586404,78.434233090538,78.434233090638,78.58958937545371,78.58958937555371,78.74436117472263,78.74436117482263,78.89580140580487,78.89580140590488,79.04227350888944,79.04227350898944,79.18471266101119,79.18471266111119,79.32674267318018,79.32674267328018,79.46748681692624,79.46748681702624,79.60811406354294,79.60811406364294,79.74622802187847,79.74622802197847,79.88428353164932,79.88428353174932,80.01900747323349,80.01900747333349,80.15326382630022,80.15326382640022,80.28728638510825,80.28728638520825,80.42078290683416,80.42078290693416,80.55404563430136,80.55404563440136,80.68561335339288,80.68561335349288,80.8163627925789,80.8163627926789,80.94705378320025,80.94705378330025,81.07604976544592,81.07604976554592,81.20405212209204,81.20405212219204,81.32772928495194,81.32772928505194,81.45111420498847,81.45111420508847,81.57321325660206,81.57321325670206,81.69449402831015,81.69449402841015,81.81554100575953,81.81554100585953,81.93524366622128,81.93524366632128,82.0543033924716,82.0543033925716,82.17289553020447,82.17289553030447,82.28710402558644,82.28710402568645,82.39985130685146,82.39985130695146,82.51183875677565,82.51183875687565,82.62347551531177,82.62347551541177,82.73435244250707,82.73435244260708,82.8440603984088,82.8440603985088,82.95236558875824,82.95236558885824,83.05885887360265,83.05885887370265,83.16424163571816,83.16424163581816,83.26810473515202,83.26810473525202,83.37109110611571,83.37109110621572,83.47360988856197,83.47360988866197,83.57548573679676,83.57548573689677,83.67443915679763,83.67443915689763,83.77134687703474,83.77134687713475,83.86492302908518,83.86492302918518,83.95844073257093,83.95844073267094,84.05114015615119,84.0511401562512,84.14319664551998,84.14319664561998,84.23478554637134,84.23478554647134,84.32619910152866,84.32619910162866,84.41656058252177,84.41656058262177,84.5063375778681,84.5063375779681,84.59570543326167,84.59570543336167,84.68495639152589,84.68495639162589,84.77414890122543,84.77414890132543,84.86223088819608,84.86223088829608,84.9457538871218,84.9457538872218,85.02840015757734,85.02840015767734,85.10572760864711,85.10572760874712,85.1816522941646,85.18165229426461,85.24764072368674,85.24764072378674,85.29591923811127,85.29591923821127,85.34367171545368,85.34367171555368,85.38826797030346,85.38826797040346,85.43280577658854,85.43280577668854,85.47518098598053,85.47518098608053,85.51644567264361,85.51644567274361,85.5530929226971,85.5530929227971,85.5891556871038,85.5891556872038,85.62165308906509,85.6216530891651,85.652221688392,85.652221688492,85.67998475661433,85.67998475671433,85.70511763942613,85.70511763952614,85.72738654256868,85.72738654266868,85.74907096006443,85.74907096016443,85.77058003186616,85.77058003196616,85.79197220653852,85.79197220663852,85.8111433357531,85.8111433358531,85.82294994581818,85.82294994591818,85.83452276162454,85.83452276172454,85.84428367192587,85.84428367202587,85.85305095662765,85.85305095672766,85.86094151285927,85.86094151295927,85.8679553406207,85.8679553407207,85.87321571144177,85.87321571154177,85.87765780235735,85.87765780245735],[0.0,1e-10,4.0836540638442385,4.0836540639442385,7.613878197871859,7.613878197971859,11.111840615802581,11.111840615902581,14.516696853067693,14.516696853167693,17.778073352954493,17.77807335305449,20.79997736019923,20.799977360299227,23.600520715417705,23.600520715517703,26.342540185646367,26.342540185746365,29.053712927326238,29.053712927426236,31.689495132442836,31.689495132542834,34.270206022187004,34.270206022287006,36.73415213946117,36.734152139561175,39.13255603350691,39.13255603360691,41.43394838125425,41.43394838135425,43.63815938419742,43.638159384297424,45.67030790129047,45.67030790139047,47.60425628254471,47.60425628264471,49.474247226624406,49.47424722672441,51.254075164138555,51.25407516423856,52.85476567806203,52.85476567816203,54.442834503056375,54.44283450315638,55.837502829975094,55.837502830075096,57.139970568259,57.139970568359004,58.404743038261266,58.40474303836127,59.57108897441702,59.571088974517025,60.693343898573694,60.693343898673696,61.79765678062033,61.79765678072033,62.86133122028526,62.86133122038526,63.9013470681458,63.901347068245805,64.94107991849671,64.94107991859671,65.96326692325107,65.96326692335107,66.9691532714512,66.9691532715512,67.93745755037355,67.93745755047355,68.87480190174327,68.87480190184327,69.68066561014263,69.68066561024263,70.46213493321258,70.46213493331258,71.22226624405705,71.22226624415705,71.98081276884763,71.98081276894763,72.73596332352275,72.73596332362276,73.48743491057279,73.48743491067279,74.21988906497623,74.21988906507623,74.95177722436043,74.95177722446043,75.6722322843559,75.6722322844559,76.36648177496038,76.36648177506038,77.03469549467965,77.03469549477965,77.69317410006792,77.69317410016792,78.33965361104822,78.33965361114822,78.98251075390536,78.98251075400536,79.53067693004301,79.53067693014302,80.07708852162101,80.07708852172101,80.6009735114331,80.6009735115331,81.12083993660856,81.12083993670856,81.63889517772243,81.63889517782243,82.13589540412045,82.13589540422045,82.6325560335069,82.6325560336069,83.11387819787186,83.11387819797186,83.55999547203984,83.55999547213985,83.99315146026714,83.99315146036714,84.39800769753226,84.39800769763227,84.78797826579127,84.78797826589127,85.17138329182703,85.17138329192703,85.5529205342993,85.5529205343993,85.89863029205343,85.89863029215343,86.23035997283223,86.23035997293223,86.55937287751868,86.55937287761869,86.86851935702965,86.86851935712966,87.17545845596558,87.17545845606558,87.47549241566674,87.47549241576674,87.72164364953588,87.72164364963588,87.94107991849671,87.94107991859671,88.15400724473625,88.15400724483625,88.36591577994113,88.36591578004114,88.56650441476116,88.56650441486116,88.76211229341182,88.76211229351182,88.94945664478152,88.94945664488152,89.1325560335069,89.1325560336069,89.31271224813221,89.31271224823222,89.46660629386461,89.46660629396462,89.60453928005434,89.60453928015434,89.74196287072674,89.74196287082674,89.87316051618745,89.87316051628746,90.00028299750963,90.00028299760963,90.12197192664705,90.12197192674705,90.24083088068825,90.24083088078825,90.35001131990039,90.35001132000039,90.4554561919855,90.4554561920855,90.53939325333937,90.53939325343937,90.61880235453928,90.61880235463929,90.68060901064071,90.68060901074071,90.73194475888612,90.73194475898612,90.77507357935251,90.77507357945251,90.81333484265339,90.81333484275339,90.84774733982341,90.84774733992342,90.87734887932986,90.87734887942986,90.90185646366312,90.90185646376312,90.92025130178854,90.92025130188854,90.93383518225039,90.93383518235039,90.94719266470454,90.94719266480455,90.95528639347974,90.95528639357974,90.96038034865293,90.96038034875293],[0.0,1e-10,1.5434736946514112,1.5434736947514112,2.5727721992403336,2.5727721993403336,3.5944857081176957,3.5944857082176958,4.5142393707954325,4.5142393708954325,5.374334124895706,5.374334124995706,6.211819757163445,6.211819757263445,7.037927895863843,7.037927895963843,7.8126914482090655,7.8126914483090655,8.583881300651726,8.583881300751726,9.339755296369121,9.339755296469122,10.082866078148795,10.082866078248795,10.749762239557503,10.749762239657503,11.415929074455486,11.415929074555486,12.078084613544469,12.078084613644469,12.730904773296148,12.730904773396148,13.371034651761178,13.371034651861178,14.009632944553681,14.009632944653681,14.642907153817879,14.642907153917879,15.246351908793343,15.246351908893343,15.812673944372808,15.812673944472808,16.374401222934694,16.374401223034692,16.933357060755817,16.933357060855815,17.486770017095413,17.48677001719541,18.025377645267255,18.025377645367254,18.561213832698332,18.56121383279833,19.09136127334574,19.091361273445738,19.621071118086714,19.621071118186713,20.142904236511836,20.142904236611834,20.664226826379448,20.664226826479446,21.184309561178825,21.184309561278823,21.68273129860961,21.68273129870961,22.177141740231402,22.1771417403314,22.671187518597826,22.671187518697824,23.162607721525635,23.162607721625633,23.650235426597664,23.650235426697662,24.136112748043946,24.136112748143944,24.62140660828165,24.621406608381648,25.104366623685024,25.104366623785022,25.579158182168257,25.579158182268255,26.04410383275668,26.044103832856678,26.508028426230084,26.508028426330082,26.966264272919815,26.966264273019814,27.42347906249453,27.423479062594527,27.879526929652084,27.879526929752082,28.328864992910948,28.328864993010946,28.76762782176427,28.767627821864266,29.19844099165067,29.19844099175067,29.62816017177098,29.628160171870977,30.053649258129074,30.053649258229072,30.47082402226488,30.470824022364877,30.88566494156636,30.88566494166636,31.29831788133566,31.298317881435658,31.710241494594232,31.71024149469423,32.120195926273844,32.120195926373846,32.526211994795524,32.526211994895526,32.92792503690392,32.927925037003924,33.327377166829066,33.32737716692907,33.725808239639186,33.72580823973919,34.122926524730005,34.12292652483001,34.517783897637564,34.517783897737566,34.912057809336545,34.91205780943655,35.30253922317975,35.30253922327975,35.69178078195471,35.691780782054714,36.07657344901424,36.07657344911424,36.84156402611573,36.84156402621573,37.22117847494909,37.22117847504909,37.59991773196959,37.59991773206959,37.97800059513043,37.978000595230434,38.354114276712316,38.35411427681232,38.72986329503883,38.729863295138834,39.10138221960313,39.10138221970313,39.47107782789061,39.47107782799061,39.8383666586927,39.8383666587927,40.20419683647333,40.20419683657333,40.563025479750976,40.56302547985098,40.921635325075414,40.921635325175416,41.28017223774877,41.280172237848774,41.6366670361921,41.6366670362921,41.989661067383935,41.98966106748394,42.34199870471612,42.34199870481612,42.694044611444006,42.69404461154401,43.04601758552083,43.04601758562083,43.39740709838907,43.39740709848907,43.74748382353799,43.74748382363799,44.09318458962256,44.09318458972256,44.43567631905993,44.43567631915993,44.77663646282477,44.77663646292477,45.45738982793729,45.45738982803729,45.792734157569534,45.792734157669535,46.1274950259932,46.1274950260932,46.46181829851042,46.461818298610424,46.79439118740191,46.79439118750191,47.12652648038695,47.12652648048695,47.45691138974625,47.456911389846255,47.782555676785826,47.78255567688583,48.107835300570045,48.10783530067005,48.433041991703185,48.43304199180319,48.75635243390843,48.756352434008434,49.07893354960296,49.07893354970296,49.4009312040889,49.4009312041889,49.72198073411089,49.721980734210895,50.042957331481816,50.04295733158182,50.35912037388194,50.359120373981945,50.671855581681655,50.67185558178166,50.98094415692773,50.98094415702773,51.288792877105564,51.288792877205566,51.595766405470535,51.59576640557054,51.90222940527799,51.902229405377994,52.207379617366136,52.20737961746614,52.51092531113069,52.51092531123069,52.81425220694202,52.814252207042024,53.112255019225046,53.11225501932505,53.409820235601636,53.40982023570164,53.70454107858639,53.70454107868639,53.993062646229966,53.99306264632997,54.280927820013886,54.28092782011389,54.56281251640985,54.56281251650985,54.840029523137154,54.840029523237156,55.11659013600481,55.11659013610481,55.39300488357031,55.393004883670315,55.661251174215685,55.66125117431569,55.929205734256755,55.929205734356756,56.194315920906,56.194315921006,56.45913437695095,56.45913437705095,56.72322350648517,56.72322350658517,56.984687060580775,56.98468706068078,57.244546096352785,57.24454609645279,57.50207128729046,57.502071287390464,57.759085949670634,57.759085949770636,58.015371285540084,58.015371285640086,58.271219025503086,58.27121902560309,58.5262645063043,58.5262645064043,58.77926787287547,58.779267872975474,59.0313231149827,59.0313231150827,59.535141868592866,59.53514186869287,59.7863948515383,59.7863948516383,60.032469616257565,60.03246961635757,60.278325583023616,60.27832558312362,60.51885746626136,60.51885746636136,60.758295359733005,60.758295359833006,60.997660320553585,60.99766032065359,61.23600422425915,61.23600422435915,61.472451879036825,61.47245187913683,61.707513813444116,61.70751381354412,61.94184642134068,61.94184642144068,62.173845184402914,62.173845184502916,62.40526048625657,62.405260486356575,62.6359464615995,62.635946461699504,62.86626777368706,62.866267773787065,63.0953492307064,63.0953492308064,63.32406602447036,63.324066024570364,63.55088656930644,63.550886569406444,63.776613124376425,63.77661312447643,64.00146448763354,64.00146448773354,64.22573238968207,64.22573238978207,64.44876043666237,64.44876043676237,64.67164261834051,64.67164261844052,64.89138869602255,64.89138869612255,65.11069717779813,65.11069717789813,65.32985979427158,65.32985979437159,65.54843894953645,65.54843894963645,65.76322560694553,65.76322560704553,65.97793933170354,65.97793933180354,66.19185079729974,66.19185079739974,66.4056163975938,66.4056163976938,66.61712108570461,66.61712108580461,67.0364838293726,67.0364838294726,67.2429561645594,67.2429561646594,67.44869917323547,67.44869917333547,67.65415045130725,67.65415045140725,67.85894533551937,67.85894533561937,68.06308382587184,68.06308382597184,68.26627419176036,68.26627419186036,68.46873523113815,68.46873523123816,68.6697376174945,68.6697376175945,68.8705941385487,68.8705941386487,69.07094013104539,69.07094013114539,69.27099439293778,69.27099439303778,69.47010053036624,69.47010053046624,69.66898786984147,69.66898786994147,69.86751054606134,69.86751054616134,70.065814424328,70.065814424428,70.26309724547963,70.26309724557963,70.45906727891196,70.45906727901196,70.65036962267564,70.65036962277564,70.8414531684861,70.8414531685861,71.03166152248367,71.03166152258368,71.22165107852804,71.22165107862804,71.41120303866597,71.41120303876598,71.60053620085068,71.60053620095069,71.78892123857145,71.78892123867145,71.97409723964502,71.97409723974502,72.34423044383894,72.34423044393894,72.528895916355,72.528895916455,72.89815392873605,72.89815392883605,73.07815171158346,73.07815171168346,73.25800362912872,73.25800362922872,73.43741795076754,73.43741795086754,73.61675933975529,73.61675933985529,73.79507967162803,73.79507967172803,73.97252481168789,73.97252481178789,74.14873009667953,74.14873009677953,74.32340379599863,74.32340379609863,74.49727523615593,74.49727523625593,74.67092787836,74.67092787846,74.84443465526195,74.84443465536195,75.01633691384028,75.01633691394028,75.18743691325682,75.18743691335682,75.35831811472015,75.35831811482015,75.52861585497489,75.52861585507489,75.86870080692685,75.86870080702685,76.03753989416013,76.03753989426014,76.20557672223163,76.20557672233163,76.37346768500096,76.37346768510096,76.5389518702849,76.5389518703849,76.70377966170919,76.7037796618092,76.86846158783133,76.86846158793134,77.0325600527449,77.0325600528449,77.19293895245374,77.19293895255375,77.35324491951152,77.35324491961153,77.51311329066287,77.51311329076287,77.67152300879276,77.67152300889276,77.82913046776085,77.82913046786085,77.98666499407787,77.98666499417787,78.14398072244167,78.14398072254167,78.3012235181544,78.3012235182544,78.45824751591391,78.45824751601391,78.6150527157202,78.6150527158202,78.77090979106254,78.77090979116254,78.92479768482592,78.92479768492592,79.07810211738072,79.07810211748073,79.23126068463338,79.23126068473339,79.3842733865839,79.3842733866839,79.53721315588334,79.53721315598334,79.69000705988063,79.69000705998063,79.8425821659247,79.8425821660247,80.14707598415319,80.14707598425319,80.29833830247796,80.29833830257796,80.44843369838556,80.44843369848556,80.59794563308458,80.59794563318458,80.74680117392396,80.74680117402396,80.89558378211224,80.89558378221224,81.04429345764947,81.04429345774948,81.19293020053561,81.19293020063562,81.34127521281748,81.34127521291748,81.48932849449504,81.48932849459504,81.63694418026617,81.63694418036617,81.78419520278194,81.78419520288195,81.9304251681827,81.9304251682827,82.07614460502593,82.07614460512593,82.22135351331167,82.22135351341167,82.36590602773775,82.36590602783775,82.50929161974666,82.50929161984666,82.79584400581128,82.79584400591128,82.93806267540303,82.93806267550303,83.0796978837862,83.0796978838862,83.2212601595183,83.2212601596183,83.36165551283322,83.36165551293323,83.50175913554388,83.50175913564388,83.64171689295237,83.64171689305238,83.78101825650121,83.78101825660121,84.05896458973925,84.05896458983925,84.19739076147522,84.19739076157522,84.33479587609618,84.33479587619618,84.47212805806606,84.47212805816606,84.60916850943165,84.60916850953166,84.74591723019294,84.74591723029295,84.8823012876989,84.8823012877989,85.01861241255375,85.01861241265375,85.1536107496893,85.15361074978931,85.28787976031414,85.28787976041414,85.42200290563682,85.42200290573682,85.55517792649556,85.55517792659556,85.68828001470322,85.68828001480323,85.82079864170231,85.82079864180231,85.95266087484174,85.95266087494174,86.08408551207474,86.08408551217474,86.21448909219271,86.21448909229271,86.34438214375318,86.34438214385318,86.47347293615184,86.47347293625184,86.60241786324836,86.60241786334836,86.7307793291363,86.7307793292363,86.85768214200279,86.85768214210279,86.98327216714996,86.98327216724996,87.1084245963907,87.1084245964907,87.2334311603293,87.2334311604293,87.35800012836147,87.35800012846147,87.48176683723183,87.48176683733183,87.60531474814897,87.60531474824897,87.7283521305086,87.7283521306086,87.8512436475661,87.8512436476661,87.97398929932143,87.97398929942143,88.09615148986819,88.0961514899682,88.2181678151128,88.21816781521281,88.33960067914884,88.33960067924885,88.46081474523166,88.46081474533166,88.70295114679301,88.70295114689301,88.82350881901617,88.82350881911617,88.94384769328612,88.94384769338612,89.06374897164962,89.06374897174962,89.18335851940884,89.18335851950884,89.30253047126162,89.30253047136162,89.42126482720796,89.42126482730797,89.53912399134144,89.53912399144144,89.65552450245346,89.65552450255346,89.77112275440368,89.77112275450368,90.00188166239768,90.00188166249768,90.11696938579038,90.11696938589039,90.23147364797451,90.23147364807451,90.34481098774148,90.34481098784148,90.5688600918368,90.5688600919368,90.67928012556085,90.67928012566085,90.78926256337847,90.78926256347847,90.89909913589395,90.89909913599395,91.11242714028158,91.11242714038158,91.21577270685158,91.21577270695158,91.31765962040014,91.31765962050014,91.41728562176543,91.41728562186543,91.51559883541142,91.51559883551143,91.60282628609437,91.60282628619437,91.68465672059793,91.68465672069793,91.7592668226453,91.7592668227453,91.82796937995577,91.82796938005578,91.89295237206154,91.89295237216155,91.95720603765659,91.95720603775659,92.02116797264733,92.02116797274734,92.06850126319351,92.06850126329351,92.10664503970453,92.10664503980453,92.1433301631941,92.1433301632941,92.17155509915924,92.17155509925924,92.1986131127072,92.19861311280721,92.22516059769767,92.22516059779767,92.25112462147955,92.25112462157955,92.27657811670392,92.27657811680392,92.30137521806863,92.30137521816863,92.32434900315653,92.32434900325653,92.34236336797149,92.34236336807149,92.35257393912165,92.35257393922166,92.35731456144138,92.35731456154139],[0.0,1e-10,2.886603302796215,2.886603302896215,5.5291004602683556,5.529100460368356,7.966259129262816,7.966259129362816,10.23294418237971,10.23294418247971,12.331341178796954,12.331341178896954,14.37967846261523,14.37967846271523,16.371243244930934,16.371243245030932,18.322271108208597,18.322271108308595,20.185044010397018,20.185044010497016,21.936717654374633,21.93671765447463,23.432056429056487,23.432056429156486,24.915738888122785,24.915738888222783,26.35706312883611,26.357063128936108,27.69103478421506,27.691034784315057,28.973281539049957,28.973281539149955,30.253706994569928,30.253706994669926,31.524557619405684,31.524557619505682,32.77235579862674,32.77235579872674,34.002201170314905,34.00220117041491,35.19265443967726,35.192654439777264,36.32794835835885,36.327948358458855,37.43670334416573,37.43670334426573,38.410161809434854,38.410161809534856,39.3806541586768,39.3806541587768,40.33824130134438,40.338241301444384,41.270954699082324,41.270954699182326,42.19529011997159,42.19529012007159,43.106616260039914,43.106616260139916,43.995982734082496,43.9959827341825,44.87057066511249,44.87057066521249,45.64139657231469,45.64139657241469,46.40041005253148,46.40041005263148,47.15203426124197,47.152034261341974,47.90292995022649,47.902929950326495,48.62640207524048,48.62640207534048,49.32666564326991,49.326665643369914,50.02677309992949,50.026773100029494,50.72672444521922,50.72672444531922,51.42178430092028,51.42178430102028,52.11356581785446,52.11356581795446,52.778496179174226,52.77849617927423,53.41798038720823,53.41798038730823,54.0483060615443,54.048306061644304,54.67020172190841,54.670201722008414,55.26862863967154,55.26862863977154,55.86273647620212,55.862736476302125,56.43628964903562,56.436289649135624,57.00177706776014,57.00177706786014,57.55919873237568,57.55919873247568,58.0756671809669,58.075667181066905,58.582664873120486,58.58266487322049,59.08013977171314,59.080139771813144,59.57574133386758,59.575741333967585,60.05453490520137,60.054534905301374,60.53197551132978,60.531975511429785,60.99255608951426,60.99255608961426,61.43029237057717,61.43029237067717,61.86776846602366,61.867768466123664,62.30207029694984,62.302070297049845,62.73148063828735,62.73148063838735,63.1588615318168,63.1588615319168,63.57661555753875,63.57661555763875,63.99410939764428,63.99410939774428,64.40848101035279,64.40848101045279,64.81593168566455,64.81593168576455,65.1872685974174,65.1872685975174,65.54960308684215,65.54960308694216,65.9116773906505,65.9116773907505,66.27359558308898,66.27359558318898,66.63270377087014,66.63270377097014,66.98723269180233,66.98723269190234,67.34113716725513,67.34113716735513,67.69389682599567,67.69389682609567,68.03921517610664,68.03921517620664,68.37990222224535,68.37990222234535,68.71444888783658,68.71444888793658,69.04738240260602,69.04738240270602,69.37209405189662,69.37209405199663,69.69056124639317,69.69056124649317,70.0046573225339,70.0046573226339,70.30636856333308,70.30636856343308,70.60339646303673,70.60339646313673,70.89516861328872,70.89516861338872,71.18480724148607,71.18480724158607,71.46773308077982,71.46773308087982,71.74233298034818,71.74233298044818,72.01115675923204,72.01115675933204,72.26494180948688,72.26494180958689,72.5114936996053,72.5114936997053,72.74810649917652,72.74810649927652,72.98393874189847,72.98393874199847,73.21810579667535,73.21810579677535,73.4488384013155,73.4488384014155,73.67853026348998,73.67853026358998,73.90744156881519,73.90744156891519,74.13333472098995,74.13333472108995,74.35048563645304,74.35048563655305,74.56347358205343,74.56347358215343,74.77354744874994,74.77354744884994,74.9773248235291,74.9773248236291,75.1726721843363,75.17267218443631,75.36749917391067,75.36749917401067,75.56081708690981,75.56081708700981,75.74841091634772,75.74841091644772,75.93288251838862,75.93288251848863,76.11282689070383,76.11282689080383,76.28829607041664,76.28829607051664,76.46147561670496,76.46147561680496,76.80408803640518,76.80408803650518,76.97206387036512,76.97206387046512,77.13936322172238,77.13936322182238,77.3064544245865,77.3064544246865,77.4697469174509,77.4697469175509,77.63038551702785,77.63038551712785,77.78774577783791,77.78774577793791,77.94474177878499,77.94474177888499,78.08773979356873,78.08773979366873,78.22922873177725,78.22922873187726,78.3699891502598,78.3699891503598,78.50866808381099,78.50866808391099,78.64672257188278,78.64672257198278,78.7821231666671,78.78212316676711,78.91513005378037,78.91513005388038,79.03757340486703,79.03757340496703,79.15715471417309,79.15715471427309,79.27590342950661,79.27590342960661,79.3822673094986,79.3822673095986,79.48774655839476,79.48774655849476,79.59234117619509,79.5923411762951,79.69573894015991,79.69573894025991,79.79846022152203,79.79846022162204,79.89993261192535,79.89993261202535,79.99942759164388,79.99942759174388,80.09881849711584,80.09881849721585,80.19487902669765,80.19487902679765,80.29067937066303,80.29067937076303,80.38033933408093,80.38033933418093,80.46880244366331,80.46880244376331,80.55580851379374,80.55580851389374,80.64114939597908,80.64114939607909,80.72227527117846,80.72227527127846,80.80308892363813,80.80308892373813,80.8826016480157,80.8826016481157,80.96143788979057,80.96143788989058,81.03673560718217,81.03673560728217,81.11047221087524,81.11047221097525,81.18379251758205,81.18379251768205,81.24197002141328,81.24197002151328,81.29733752058719,81.2973375206872,81.34713704756973,81.34713704766973,81.3924093448266,81.3924093449266,81.43528793441241,81.43528793451242,81.47702170728597,81.47702170738597,81.5166739952282,81.5166739953282,81.55205923906115,81.55205923916115,81.5864557775517,81.58645577765171,81.61908305385062,81.61908305395062,81.64947273384833,81.64947273394833,81.67902981987349,81.6790298199735,81.70744208918643,81.70744208928643,81.73465750466383,81.73465750476383,81.7539632774021,81.7539632775021,81.77306090164724,81.77306090174724,81.7911177834267,81.7911177835267,81.80818595986376,81.80818595996377,81.82509802493098,81.82509802503098,81.84018879068327,81.84018879078327,81.8541867768466,81.8541867769466,81.86469827574992,81.86469827584992,81.8733884753383,81.8733884754383,81.88082978396788,81.88082978406788,81.88801090698104,81.88801090708104,81.89503591862434,81.89503591872435,81.9012803734184,81.9012803735184,81.90695241985632,81.90695241995633,81.91252039204768,81.91252039214768,81.91803632711576,81.91803632721576,81.92287577958115,81.92287577968115,81.92755912067669,81.92755912077669,81.93182616478596,81.93182616488596],[0.0,1e-10,1.3994119642655207,1.3994119643655207,2.74228203098496,2.74228203108496,3.9354475619922735,3.9354475620922735,5.087192865727458,5.087192865827458,6.07575562328895,6.07575562338895,7.0632664385705155,7.0632664386705155,8.037036257820533,8.037036257920533,8.999168965598857,8.999168965698857,9.939408124676198,9.939408124776199,10.857030524735109,10.857030524835109,11.747959889440866,11.747959889540866,12.637311340726734,12.637311340826734,13.508779773253842,13.508779773353842,14.375645958306269,14.375645958406269,15.231663988596946,15.231663988696946,16.049549111240268,16.049549111340266,16.845146206827632,16.84514620692763,17.607409881419805,17.607409881519803,18.366714968349687,18.366714968449685,19.08584900946485,19.08584900956485,19.799591846395387,19.799591846495385,20.482499625245563,20.48249962534556,21.154756488511474,21.154756488611472,21.826618873422415,21.826618873522413,22.474220839502536,22.474220839602534,23.115642644688087,23.115642644788085,23.745690323971925,23.745690324071923,24.3737656114809,24.373765611580897,24.992439164863026,24.992439164963024,25.604538078995606,25.604538079095605,26.209076157991213,26.20907615809121,26.81151035242696,26.81151035252696,27.411117451985408,27.411117452085406,28.00316371640688,28.00316371650688,28.57805017238704,28.57805017248704,29.14734818500509,29.147348185105088,29.71559425534321,29.715594255443207,30.280618752449055,30.280618752549053,30.833282927765755,30.833282927865753,31.384369189662564,31.384369189762563,31.93348305978451,31.93348305988451,32.48207095876649,32.482070958866494,33.02461018963889,33.024610189738894,33.556301265749546,33.55630126584955,34.07602649842603,34.07602649852603,34.59279314344022,34.59279314354022,35.105417765727196,35.1054177658272,35.60995558173723,35.609955581837234,36.11330996268235,36.11330996278235,36.616138372487505,36.61613837258751,37.11502199874293,37.115021998842934,37.61134151569103,37.61134151579103,38.10319027794945,38.10319027804945,38.58964783602324,38.58964783612324,39.07433024149965,39.074330241599654,39.557500479948665,39.55750048004867,40.038106609090356,40.03810660919036,40.50405129270557,40.50405129280557,40.96756335979845,40.96756335989845,41.427525121696576,41.42752512179658,41.8859089701748,41.885908970274805,42.34120273820575,42.34120273830575,42.793011947434444,42.793011947534445,43.241205105075885,43.24120510517589,43.68867505239987,43.688675052499875,44.13483007187396,44.13483007197396,44.57980165628312,44.57980165638312,45.024181523159825,45.02418152325983,45.46724646218662,45.467246462286624,45.906563856841174,45.906563856941176,46.34456632364582,46.34456632374582,46.781188116208064,46.781188116308066,47.212747436548156,47.21274743664816,47.6392442846661,47.6392442847661,48.06297978429924,48.06297978439924,48.48316497873762,48.48316497883762,48.89618381639399,48.896183816493995,49.30519212410815,49.305192124208155,49.70729706061029,49.70729706071029,50.10000026298557,50.10000026308557,50.4877724859237,50.4877724860237,50.87403254183443,50.87403254193443,51.25983237299769,51.259832373097694,51.645040486628496,51.6450404867285,52.029591136334346,52.02959113643435,52.41335282933026,52.41335282943026,52.78758129541432,52.78758129551432,53.15602407895879,53.15602407905879,53.524269623325765,53.524269623425766,53.8917262109828,53.891726211082805,54.256947421294996,54.256947421395,54.617237652170026,54.61723765227003,54.9769361655126,54.9769361656126,55.33492527265029,55.33492527275029,55.69205967668554,55.69205967678554,56.046629971413466,56.04662997151347,56.39732122898417,56.39732122908417,56.747223529844916,56.74722352994492,57.09456172139835,57.09456172149835,57.44176842016679,57.44176842026679,57.788251908617774,57.788251908717776,58.1299359104166,58.1299359105166,58.470502223542994,58.470502223642995,58.80922763767952,58.80922763777952,59.146638123966135,59.146638124066136,59.4833253999353,59.483325400035305,59.81935521197952,59.81935521207952,60.148547399204205,60.148547399304206,60.47379480287917,60.47379480297917,60.79851623541416,60.798516235514164,61.1212652761743,61.1212652762743,61.442699389084524,61.442699389184526,61.760254464837516,61.76025446493752,62.074587967358234,62.074587967458235,62.388066766776504,62.388066766876506,62.69970466720491,62.699704667304914,63.00200657989896,63.00200657999896,63.30187587607068,63.30187587617068,63.598194867047646,63.59819486714765,63.89425087245463,63.89425087255463,64.1891891891892,64.1891891892892,64.48314131003632,64.48314131013632,64.77518678550108,64.77518678560108,65.06591733311593,65.06591733321594,65.35592467041333,65.35592467051333,65.64514305100079,65.64514305110079,65.93396695323328,65.93396695333328,66.22094995647589,66.2209499565759,66.50293623388885,66.50293623398885,66.78275288034945,66.78275288044945,67.06092586699768,67.06092586709768,67.33600877319861,67.33600877329862,67.60543748964494,67.60543748974494,67.8745374741288,67.8745374742288,68.14357171222015,68.14357171232015,68.41234296474153,68.41234296484153,68.68012802137547,68.68012802147547,68.94594068623455,68.94594068633455,69.21149036552364,69.21149036562365,69.47697429842025,69.47697429852025,69.7358178456748,69.7358178457748,69.9942669145744,69.9942669146744,70.2497573958117,70.2497573959117,70.50110585432178,70.50110585442178,70.75225707365436,70.75225707375436,71.00018671975468,71.00018671985468,71.24726166275256,71.24726166285257,71.49111503251817,71.49111503261817,71.73477116310627,71.73477116320628,72.21827013351778,72.21827013361778,72.45344497947397,72.45344497957397,72.68769937593524,72.68769937603524,72.92136205486405,72.92136205496405,73.15384129872794,73.15384129882794,73.38605755702184,73.38605755712184,73.61419753898103,73.61419753908103,73.84029938277287,73.84029938287287,74.06561226985475,74.06561226995476,74.2899389610492,74.2899389611492,74.51262199243128,74.51262199253128,74.7344503207109,74.73445032081091,74.95608140981304,74.95608140991304,75.17725227416771,75.17725227426772,75.39618776117754,75.39618776127755,75.61170443577761,75.61170443587761,75.82597192892025,75.82597192902026,76.03912173339049,76.03912173349049,76.25154832754326,76.25154832764326,76.46338320416359,76.4633832042636,76.67403464571899,76.67403464581899,76.88409436974193,76.88409436984193,77.09375961540991,77.09375961550991,77.30020328784559,77.30020328794559,77.50428009015145,77.50428009025146,77.70684472542992,77.70684472552992,77.90802868646597,77.90802868656597,78.10835794439959,78.10835794449959,78.30618883941838,78.30618883951838,78.50395398804467,78.50395398814467,78.70158764388599,78.70158764398599,78.8975776399149,78.8975776400149,79.09291017201886,79.09291017211886,79.28791397216035,79.28791397226036,79.48232605476937,79.48232605486938,79.67594918066845,79.67594918076846,79.86372087763544,79.86372087773545,80.2382123292895,80.2382123293895,80.42407738087411,80.42407738097411,80.6074440695439,80.6074440696439,80.79008754789625,80.79008754799625,80.9683260179514,80.9683260180514,81.1459070240816,81.1459070241816,81.32059518894198,81.32059518904198,81.4948888754474,81.4948888755474,81.66635546707552,81.66635546717552,81.83637563806874,81.83637563816875,82.00475214924957,82.00475214934957,82.17286567486042,82.17286567496042,82.34012449736883,82.34012449746884,82.50639712398981,82.50639712408982,82.67102609079839,82.6710260908984,82.83480035450455,82.83480035460455,82.99653648004335,82.99653648014335,83.15820685918963,83.15820685928963,83.318825296056,83.318825296156,83.47931224013739,83.47931224023739,83.63947045225629,83.63947045235629,83.79693306228287,83.79693306238288,83.95373820838451,83.95373820848451,84.10876820188876,84.10876820198877,84.26360095621553,84.26360095631553,84.41685579712241,84.41685579722241,84.5700448916368,84.5700448917368,84.72303674697369,84.72303674707369,84.87576561674061,84.87576561684061,85.02836299372254,85.02836299382254,85.17813327582715,85.17813327592715,85.3275090795768,85.3275090796768,85.47662189775647,85.47662189785648,85.62428829530124,85.62428829540124,85.7705082722111,85.7705082723111,85.91659675633598,85.91659675643598,86.05998963836855,86.05998963846855,86.20292229565364,86.20292229575364,86.34263337970646,86.34263337980646,86.48024057919942,86.48024057929942,86.61699307558995,86.61699307568995,86.75302236166301,86.75302236176302,87.02429197709921,87.02429197719921,87.15880909614489,87.1588090962449,87.29201128734066,87.29201128744066,87.55808693776973,87.55808693786973,87.68911949801314,87.68911949811314,87.81975757990159,87.81975758000159,87.95019842261254,87.95019842271255,88.07971881582857,88.07971881592857,88.2077927884097,88.2077927885097,88.33560377542084,88.33560377552084,88.46308603046951,88.46308603056951,88.59037104634069,88.5903710464407,88.7169985982869,88.71699859838691,88.84211398320573,88.84211398330574,88.96670339698461,88.96670339708461,89.09056960044602,89.09056960054602,89.21325236884252,89.21325236894252,89.33488319495909,89.33488319505909,89.45572506436572,89.45572506446572,89.57597521623988,89.57597521633988,89.69523917222662,89.69523917232662,89.81417439625088,89.81417439635088,89.93179469242523,89.93179469252523,90.04823155353466,90.04823155363466,90.16440542907411,90.16440542917411,90.28011907986608,90.28011907996608,90.39550399869559,90.39550399879559,90.5093110041052,90.5093110042052,90.62265778476736,90.62265778486736,90.73455814479459,90.73455814489459,90.84639275842935,90.84639275852935,90.95724117617667,90.95724117627667,91.06677466607407,91.06677466617407,91.17525621369155,91.17525621379156,91.28308029738409,91.28308029748409,91.39024691715166,91.39024691725166,91.49484942761191,91.49484942771191,91.59688782876484,91.59688782886484,91.69859749795529,91.69859749805529,91.79958395682829,91.79958395692829,91.90004444456133,91.90004444466133,91.99958448279943,91.99958448289944,92.09905877464503,92.09905877474503,92.18689595501895,92.18689595511896,92.27098559102062,92.27098559112062,92.3317352576864,92.3317352577864,92.39136723567978,92.39136723577978,92.4486980899358,92.4486980900358,92.50589745140684,92.50589745150684,92.56158464585049,92.56158464595049,92.61694310833164,92.61694310843164,92.66559543877827,92.66559543887827,92.71326157333748,92.71326157343748,92.75862658415933,92.75862658425933,92.79301194743445,92.79301194753445,92.82134864259999,92.82134864269999,92.8457405542158,92.8457405543158,92.8600075213873,92.8600075214873,92.87026395861659,92.87026395871659,92.8802574102759,92.8802574103759,92.88939615883277,92.88939615893277,92.89702274036223,92.89702274046223,92.90254543733185,92.90254543743185],[0.0,1e-10,1.1885576543701821,1.1885576544701821,2.114965226591499,2.114965226691499,2.9112301522649333,2.9112301523649333,3.6727511134753583,3.6727511135753583,4.428285120357411,4.428285120457411,5.132782795259902,5.132782795359902,5.803910560791142,5.803910560891142,6.470719867462572,6.470719867562572,7.134192183196877,7.134192183296877,7.780881397453287,7.780881397553287,8.417461492106053,8.417461492206053,9.011740319291144,9.011740319391144,9.598069256302496,9.598069256402496,10.183711165767969,10.183711165867969,10.767488286180344,10.767488286280344,11.330752727008623,11.330752727108623,11.887833919923995,11.887833920023995,12.439517039264606,12.439517039364606,12.98609652540726,12.98609652550726,13.531007516081353,13.531007516181353,14.075820359963176,14.075820360063176,14.619651735922314,14.619651736022314,15.159753533775255,15.159753533875255,15.697597955406023,15.697597955506023,16.233872028360498,16.233872028460496,16.766710963585577,16.766710963685576,17.28355197167091,17.28355197177091,17.798037456741802,17.7980374568418,18.31154147389001,18.311541473990008,18.800901380140193,18.80090138024019,19.288494644129546,19.288494644229544,19.773339797935385,19.773339798035384,20.2473888045917,20.2473888046917,20.719769315779452,20.71976931587945,21.186555459807906,21.186555459907904,21.651869401952336,21.651869402052334,22.11630002296635,22.116300023066348,22.577001065874164,22.577001065974162,23.028967044270093,23.02896704437009,23.475829389468064,23.475829389568062,23.917293661091275,23.917293661191273,24.357678317999532,24.35767831809953,24.79629633264696,24.79629633274696,25.218621979777836,25.218621979877835,25.639279131440148,25.639279131540146,26.057678906880287,26.057678906980286,26.475686095151353,26.47568609525135,26.893398843045613,26.89339884314561,27.310424563393994,27.310424563493992,27.72735213695011,27.727352137050108,28.12965583845823,28.12965583855823,28.53107621883594,28.531076218935937,28.929552195445595,28.929552195545593,29.326752263755765,29.326752263855763,29.71737649698395,29.717376497083947,30.107608143043063,30.10760814314306,30.49361947703463,30.49361947713463,30.875312352166393,30.87531235226639,31.255336731829594,31.255336731929592,31.633398175647425,31.633398175747423,32.005570811929154,32.005570812029156,32.37725271424954,32.377252714349545,32.74736426789363,32.74736426799363,33.113255509470186,33.11325550957019,33.4773801087859,33.4773801088859,33.84042509338667,33.84042509348667,34.201899729311144,34.201899729411146,34.55513003468508,34.55513003478508,34.90521964270642,34.90521964280642,35.254524076389615,35.254524076489616,35.60265074856559,35.60265074866559,35.94989409961114,35.949894099711145,36.291935670666476,36.29193567076648,36.97474290447765,36.97474290457765,37.31413451214174,37.31413451224174,37.65323167942902,37.65323167952902,37.987715947479685,37.98771594757969,38.32190577515355,38.321905775253555,38.655310428489265,38.65531042858927,38.986163265226004,38.986163265326006,39.31662351479367,39.31662351489367,39.64031163569481,39.64031163579481,39.96154608678925,39.96154608688925,40.282584244299144,40.282584244399146,40.602640933886356,40.60264093398636,40.919458779328714,40.919458779428716,41.23578589080973,41.23578589090973,41.551524121537135,41.55152412163714,41.86588829717278,41.86588829727278,42.178191390170795,42.1781913902708,42.48970930883066,42.489709308930664,42.800147612775575,42.80014761287558,43.10999703596687,43.10999703606687,43.41866869765096,43.41866869775096,43.72675147858143,43.72675147868143,44.031693562159305,44.031693562259306,44.336341205360384,44.336341205460386,44.63981108705424,44.63981108715424,44.94131803290273,44.94131803300273,45.239487987814094,45.239487987914096,45.53677462159504,45.536774621695045,45.83357052141465,45.83357052151465,46.129875687272914,46.129875687372916,46.42470865124715,46.42470865134715,46.716891651830146,46.71689165193015,47.00878021203633,47.00878021213633,47.30057062545025,47.30057062555025,47.59079069018787,47.590790690287875,47.88032372737962,47.88032372747962,48.169071590233216,48.16907159033322,48.45742686591774,48.45742686601774,48.744800673679585,48.74480067377959,49.31945014241099,49.319450142510995,49.89331443680426,49.89331443690426,50.178725308720736,50.17872530882074,50.463939887052675,50.46393988715268,50.748663731423264,50.748663731523266,51.032994988624786,51.03299498872479,51.31644292469589,51.31644292479589,51.598026071713896,51.5980260718139,51.87951107193964,51.87951107203964,52.16070163178857,52.16070163188857,52.44169589805296,52.441695898152965,52.72229757714829,52.72229757724829,53.00034743964463,53.00034743974463,53.27466772403478,53.27466772413478,53.548006540502236,53.54800654060224,53.817223191694424,53.817223191794426,54.085556521756196,54.0855565218562,54.35369355823344,54.35369355833344,54.619671365280766,54.61967136538077,54.88388253006727,54.88388253016727,55.1479955480615,55.147995548161504,55.40985118983356,55.40985118993356,55.66954760217572,55.66954760227572,55.9291458677256,55.9291458678256,56.18815525252188,56.18815525262188,56.44657575656455,56.44657575666455,56.70332776513865,56.703327765238654,56.95742981032151,56.95742981042151,57.21084482795849,57.21084482805849,57.46160988220422,57.461609882304224,57.712276789657686,57.71227678975769,57.96284555031888,57.96284555041888,58.2127272834342,58.2127272835342,58.4617256954191,58.4617256955191,58.71052781381946,58.71052781391946,58.95687626241312,58.95687626251312,59.201458068745936,59.20145806884594,59.445745434701955,59.44574543480196,59.6896402134889,59.6896402135889,59.93216093718409,59.932160937284095,60.17419092691794,60.17419092701794,60.41504315514456,60.41504315524456,60.655404649409846,60.65540464950985,60.89566799688286,60.89566799698286,61.13426284888731,61.13426284898731,61.372759554099495,61.3727595541995,61.61047108497353,61.610471085073534,61.846514120379005,61.84651412047901,62.3178150168518,62.317815016951805,62.552680290750054,62.552680290850056,62.78577892238748,62.78577892248748,63.01711091176407,63.01711091186407,63.24746143321798,63.24746143331798,63.47771380787962,63.47771380797962,63.70776988895672,63.70776988905672,63.937531529657015,63.93753152975702,64.1667042896037,64.1667042897037,64.39577890275812,64.39577890285813,64.624657222328,64.624657222428,64.85294666114427,64.85294666124427,65.3089366580232,65.3089366581232,65.53604833533225,65.53604833543226,65.76276742547223,65.76276742557224,65.98938836881995,65.98938836891995,66.21502784424497,66.21502784434497,66.43791920948648,66.43791920958648,66.66022169397438,66.66022169407438,66.88164085733186,66.88164085743186,67.1028637271048,67.1028637272048,67.32212366103239,67.3221236611324,67.5409910077909,67.5409910078909,67.75956391417259,67.75956391427259,68.19661158014372,68.19661158024373,68.41449745897955,68.41449745907956,68.63189260385403,68.63189260395403,68.84879701476717,68.84879701486717,69.06481810454989,69.06481810464989,69.27975957961766,69.27975957971766,69.49391588034729,69.49391588044729,69.70797403428463,69.70797403438463,69.92134516067611,69.92134516077611,70.13363667235264,70.13363667245264,70.34573189044463,70.34573189054463,70.55772896174435,70.55772896184435,70.76923529908272,70.76923529918272,70.97956387491388,70.97956387501388,71.1896961571605,71.1896961572605,71.3992395586535,71.39923955875351,71.60799778580837,71.60799778590837,71.81597083862508,71.81597083872508,72.02335501068819,72.0233550107882,72.23024844878995,72.23024844888995,72.64325015065532,72.64325015075532,72.84876953366533,72.84876953376533,73.05399447629853,73.05399447639853,73.25882683176266,73.25882683186266,73.46326660005771,73.46326660015771,73.66751007476823,73.66751007486823,73.87096837514059,73.8709683752406,74.07393594155162,74.07393594165163,74.47673037702108,74.47673037712109,74.67645909928726,74.67645909938726,74.87510820683848,74.87510820693848,75.07307028684382,75.07307028694382,75.26897128421152,75.26897128431152,75.46447969441014,75.46447969451015,75.6598899578165,75.6598899579165,75.85451504688473,75.85451504698473,76.0486494019916,76.0486494020916,76.24248931672166,76.24248931682166,76.43613293786719,76.43613293796719,76.62840250392097,76.62840250402097,76.81929801488297,76.81929801498298,77.01009537905273,77.01009537915273,77.2007945964302,77.2007945965302,77.38972717154685,77.38972717164685,77.57856159987124,77.57856159997124,77.7655312391425,77.7655312392425,77.95220643803698,77.95220643813698,78.13790016900877,78.13790016910878,78.32310316601922,78.32310316611922,78.50810986944514,78.50810986954514,78.69292027928651,78.69292027938651,78.87753439554335,78.87753439564335,79.06106889708524,79.06106889718524,79.2434256371199,79.2434256372199,79.42548793677776,79.42548793687776,79.60705950247429,79.60705950257429,79.78853292137853,79.78853292147853,79.96981004669824,79.96981004679824,80.15089087843342,80.15089087853342,80.33157912299953,80.33157912309953,80.51167848681202,80.51167848691202,80.69128711666316,80.69128711676316,80.87069945292978,80.87069945302979,81.04962105523505,81.04962105533505,81.22775748320218,81.22775748330218,81.58304887121375,81.58304887131375,81.75971309729684,81.75971309739684,81.93578844262633,81.93578844272633,82.1109804668254,82.1109804669254,82.28489658272498,82.28489658282498,82.45783123070188,82.45783123080189,82.63047143830198,82.63047143840198,82.80291535231754,82.80291535241754,82.97496667916403,82.97496667926403,83.14691985921824,83.14691985931825,83.49072807253441,83.49072807263441,83.66199422504275,83.66199422514275,83.83296593717428,83.83296593727428,84.00383950251354,84.00383950261354,84.17461492106054,84.17461492116054,84.51557687740092,84.51557687750092,84.68556712160976,84.68556712170977,84.85320184280417,84.85320184290417,85.02073841720632,85.02073841730632,85.35571341921832,85.35571341931832,85.52295555324365,85.52295555334365,85.68882363217723,85.68882363227723,85.85459356431853,85.85459356441854,86.02016720287531,86.02016720297532,86.1850538138862,86.1850538139862,86.34984227810483,86.34984227820483,86.51423815515437,86.51423815525438,86.67833959182713,86.67833959192713,87.00624802479581,87.00624802489581,87.16966243392267,87.16966243402267,87.332880549465,87.332880549565,87.49600051821507,87.49600051831507,87.65813901904244,87.65813901914244,87.82008122628528,87.82008122638528,87.98163084635905,87.98163084645905,88.14278787926374,88.14278787936374,88.30355232499936,88.30355232509936,88.46235383488961,88.46235383498961,88.62086090440306,88.62086090450306,88.77897538674743,88.77897538684743,88.936795428715,88.936795428815,89.09412473672123,89.09412473682123,89.25135589793518,89.25135589803519,89.72295123478479,89.72295123488479,89.87988795562195,89.87988795572195,90.03613764891323,90.03613764901323,90.19219104861996,90.19219104871996,90.34814630153443,90.34814630163443,90.50400340765663,90.50400340775663,90.65936977981748,90.65936977991748,90.97000437734694,90.97000437744694,91.1240948412083,91.1240948413083,91.27740013073152,91.27740013083152,91.4296258055398,91.4296258056398,91.88620468317234,91.88620468327234,92.03803777081154,92.03803777091154,92.1896745648662,92.1896745649662,92.34101691854406,92.34101691864406,92.49226112542964,92.49226112552964,92.64340718552296,92.64340718562296,92.79357177769359,92.79357177779359,92.94354007627969,92.94354007637969,93.09291949411218,93.09291949421218,93.24151373760651,93.24151373770651,93.3887339260091,93.3887339261091,93.53585596761941,93.53585596771941,93.68238912847612,93.68238912857612,93.82882414254055,93.82882414264056,93.97506286302045,93.97506286312046,94.12071270274673,94.12071270284673,94.26508663417354,94.26508663427354,94.4092642720158,94.4092642721158,94.55324561627353,94.55324561637353,94.69712881373898,94.69712881383899,94.8405212772431,94.8405212773431,94.98352115357814,94.98352115367814,95.12622658953637,95.12622658963637,95.268343144741,95.268343144841,95.40928193843841,95.40928193853841,95.54197640158527,95.54197640168528,95.66348213041353,95.66348213051353,95.72727754538798,95.72727754548798,95.7796879324593,95.7796879325593,95.79352663016914,95.79352663026914],[0.0,1e-10,3.9747539467783652,3.9747539468783653,7.751873947444781,7.751873947544781,10.970870686172288,10.970870686272288,13.752323778133508,13.752323778233508,16.38168133938476,16.381681339484757,18.893097181477525,18.893097181577524,21.249154832000734,21.249154832100732,23.40369111070694,23.40369111080694,25.103745673503447,25.103745673603445,26.716541412884872,26.71654141298487,28.326560419619838,28.326560419719836,29.931858980855818,29.931858980955816,31.53521382923927,31.53521382933927,32.95343002841986,32.95343002851986,34.31041927274595,34.310419272845955,35.65588507658923,35.65588507668923,37.00024018737392,37.00024018747392,38.30093117729299,38.30093117739299,39.60016438257267,39.60016438267267,40.82921567021302,40.82921567031302,41.97558974330495,41.97558974340495,43.09093382907267,43.09093382917267,44.192533088240396,44.1925330883404,45.29316049098187,45.29316049108187,46.381362015130414,46.381362015230415,47.46775866305877,47.46775866315877,48.52000149943563,48.52000149953563,49.47186545064288,49.47186545074288,50.41081759504409,50.41081759514409,51.333456435147326,51.33345643524733,52.2415868471728,52.2415868472728,53.09272482162964,53.09272482172964,53.92963204127335,53.92963204137335,54.76348485500596,54.763484855105965,55.58206563918303,55.58206563928303,56.37725245081365,56.37725245091365,57.16563626746044,57.165636267560444,57.947286507439564,57.947286507539566,58.7173438886197,58.717343888719704,59.46782530464228,59.467825304742284,60.21157314399719,60.211573144097194,60.94775438689049,60.94775438699049,61.67185684277168,61.671856842871684,62.36944150187915,62.36944150197915,63.06522128476643,63.06522128486643,63.75746073352946,63.757460733629465,64.43505291758241,64.43505291768241,65.09195844341922,65.09195844351922,65.7409502812136,65.7409502813136,66.36043933463932,66.36043933473933,66.97854002174182,66.97854002184182,67.58692214458169,67.5869221446817,68.17642248542562,68.17642248552562,68.7625907470938,68.7625907471938,69.34598227611552,69.34598227621552,69.916809089912,69.916809090012,70.48076349040848,70.48076349050848,71.03805373255344,71.03805373265344,71.59402502669134,71.59402502679134,72.14937155598379,72.14937155608379,72.69840101850554,72.69840101860554,73.24118283257275,73.24118283267275,73.78132675062581,73.78132675072581,74.3189021909809,74.3189021910809,74.82655833707035,74.82655833717035,75.33067414903557,75.33067414913558,75.83104137192807,75.83104137202807,76.33064499334279,76.33064499344279,76.82726362716255,76.82726362726255,77.8202926398536,77.8202926399536,78.2984460015744,78.2984460016744,78.75681514318916,78.75681514328916,79.21289348037058,79.21289348047058,79.66432079036917,79.66432079046918,80.11435973404454,80.11435973414454,80.55710975452295,80.55710975462296,80.98611494840137,80.98611494850137,81.41151038983938,81.41151038993938,81.83551746495417,81.83551746505417,82.24869528274775,82.24869528284775,82.65680556346153,82.65680556356153,83.06130609173492,83.06130609183492,83.44838262265175,83.44838262275175,83.80880252016254,83.80880252026255,84.15964269004306,84.15964269014306,84.49215642445691,84.49215642455691,84.82189342622429,84.8218934263243,85.15128333641088,85.15128333651089,85.4802567367005,85.4802567368005,85.80610631276284,85.80610631286284,86.12529173047366,86.12529173057366,86.43920135615622,86.43920135625622,86.74471136558323,86.74471136568323,87.04799998889307,87.04799998899307,87.34747060481402,87.34747060491402,87.64659412915417,87.64659412925417,87.9372486189226,87.9372486190226,88.22602881415467,88.22602881425468,88.51237936832109,88.5123793684211,88.79338471214307,88.79338471224307,89.07043321194384,89.07043321204384,89.3422753380325,89.3422753381325,89.6123820062171,89.6123820063171,89.88061437986535,89.88061437996535,90.13878109767018,90.13878109777018,90.38028741959623,90.38028741969623,90.61846166234653,90.61846166244653,90.85240138781097,90.85240138791097,91.08529983853299,91.08529983863299,91.3147967917631,91.3147967918631,91.5379766782225,91.53797667832251,91.75879634193241,91.75879634203241,91.97316010223929,91.97316010233929,92.18648258780375,92.18648258790375,92.61243337577106,92.61243337587106,92.82304854700523,92.82304854710523,93.02290387923435,93.02290387933435,93.22234270156649,93.22234270166649,93.42087908578854,93.42087908588854,93.61198771018131,93.61198771028131,93.80254098804478,93.80254098814478,93.99108113473956,93.99108113483956,94.17906593490505,94.17906593500506,94.36566236874732,94.36566236884732,94.5520505476411,94.5520505477411,94.73614792210154,94.73614792220154,94.91850983865795,94.91850983875796,95.09955280720729,95.09955280730729,95.27892973616875,95.27892973626875,95.4485881008676,95.4485881009676,95.61769111903715,95.61769111913715,95.7853363525673,95.7853363526673,95.94853881386311,95.94853881396311,96.10611839154984,96.10611839164984,96.25106383569518,96.25106383579518,96.39378789372333,96.39378789382333,96.53401289236967,96.53401289246968,96.66972570046552,96.66972570056552,96.80391130560581,96.80391130570581,96.93455657662186,96.93455657672186,97.06499359268942,97.06499359278942,97.19327864095597,97.19327864105597,97.31483011255486,97.31483011265486,97.4361039108891,97.4361039109891,97.6764301214404,97.6764301215404,97.79388591238576,97.79388591248576,97.90967566374323,97.90967566384323,98.02491006857142,98.02491006867142,98.13702064917233,98.13702064927233,98.24802053671465,98.24802053681465,98.35853449604384,98.35853449614385,98.46356440839628,98.46356440849628,98.56581758810226,98.56581758820226,98.6648775252648,98.6648775253648,98.7589393436637,98.7589393437637,98.8528623254303,98.8528623255303,98.94345322802111,98.94345322812111,99.03307227418568,99.03307227428569,99.12234422876945,99.12234422886945,99.19801019338554,99.19801019348554,99.27096884367134,99.27096884377134,99.34045657814906,99.34045657824906,99.39113194894699,99.391131949047,99.43146399063686,99.43146399073686,99.44506998060453,99.44506998070453],[0.0,1e-10,1.0856349216018324,1.0856349217018324,2.0835516136499312,2.0835516137499313,2.893726928278164,2.893726928378164,3.6443269453344866,3.6443269454344867,4.381525566208989,4.381525566308989,5.097525614941339,5.097525615041339,5.7973221573811236,5.797322157481124,6.451188460179579,6.451188460279579,7.0934808299119165,7.0934808300119165,7.73345841303103,7.73345841313103,8.362958540953448,8.362958541053448,8.978935441819665,8.978935441919665,9.586627843228031,9.586627843328031,10.160694923307464,10.160694923407464,10.732569047648054,10.732569047748054,11.296645996028314,11.296645996128314,11.860601113534193,11.860601113634193,12.405794276385521,12.405794276485521,12.934296609446767,12.934296609546767,13.452930641683215,13.452930641783215,13.969493549055201,13.969493549155201,14.48093955970322,14.48093955980322,14.990801768984296,14.990801769084296,15.500176654767852,15.500176654867852,16.008698724430744,16.008698724530742,16.516977132344877,16.516977132444875,17.02476821676149,17.02476821686149,17.531462823308683,17.53146282340868,18.032187717011244,18.032187717111242,18.5274302213667,18.527430221466698,19.01353541014364,19.013535410243637,19.49354905520157,19.493549055301568,19.97197889889256,19.971978898992557,20.444560860613297,20.444560860713295,20.91360972697701,20.91360972707701,21.378029020114276,21.378029020214274,21.834894799039972,21.83489479913997,22.28737466648798,22.28737466658798,22.737052423825247,22.737052423925245,23.18660835028813,23.186608350388127,23.635676953253494,23.635676953353492,24.083161754851915,24.083161754951913,24.52016910125364,24.520169101353638,24.95413067579586,24.954130675895858,25.384924647604194,25.384924647704192,25.813038340176167,25.813038340276165,26.23566964340103,26.23566964350103,26.657691792253992,26.65769179235399,27.079104786735055,27.079104786835053,27.499177641597935,27.499177641697933,27.916082893726927,27.916082893826925,28.33176983711212,28.331769837212118,28.741243405903923,28.74124340600392,29.149864158575067,29.149864158675065,29.55811941862307,29.558119418723066,29.957968348338834,29.957968348438833,30.35464967532072,30.354649675420717,30.7501126935588,30.7501126936588,31.144966557424983,31.14496655752498,31.53848028167298,31.53848028177298,31.92480598433255,31.92480598443255,32.30893873125327,32.30893873135327,33.0761077472253,33.0761077473253,33.459022185402226,33.45902218550223,33.8403528222122,33.840352822312205,34.2215616281478,34.221561628247805,34.60057747834456,34.60057747844456,34.97837501979752,34.97837501989752,35.352761296767824,35.352761296867826,35.72507644887367,35.725076448973674,36.09166554988365,36.09166554998365,36.45667084952669,36.45667084962669,36.81911770080774,36.81911770090774,37.180955397716886,37.18095539781689,37.53511774954009,37.535117749640094,37.88708714562444,37.88708714572444,38.23856921821128,38.238569218311284,38.589685798174976,38.58968579827498,38.940436885515524,38.940436885615526,39.290335156735416,39.29033515683542,39.63767497959333,39.63767497969333,39.98416198633058,39.98416198643058,40.32979617694716,40.329796177047164,40.67409022794556,40.674090228045564,41.01753146282331,41.01753146292331,41.36024171245477,41.360241712554775,41.70209914596557,41.70209914606557,42.04371291772761,42.04371291782761,42.72645313775417,42.72645313785417,43.06587395377736,43.065873953877364,43.40419829193114,43.40419829203114,43.741791644838635,43.74179164493864,44.07865401249985,44.07865401259985,44.41283610092469,44.412836101024695,44.745434387982606,44.74543438808261,45.07778901329175,45.07778901339175,45.409656315103376,45.40965631520338,45.74140178604062,45.74140178614062,46.07192894823406,46.07192894833406,46.40087230906056,46.40087230916056,46.72859736114326,46.72859736124326,47.054494950110254,47.054494950210255,47.377590428966506,47.37759042906651,47.70019858432524,47.700198584425245,48.02012646044761,48.02012646054761,48.335790255966664,48.335790256066666,48.649626588370026,48.64962658847003,48.96114813416016,48.96114813426016,49.271816863829635,49.27181686392964,49.57919615989084,49.57919615999084,49.88633179420329,49.88633179430329,50.193345597641354,50.193345597741356,50.497435460094295,50.497435460194296,50.800550675552195,50.8005506756522,51.10293490576382,51.10293490586382,51.40446631985478,51.40446631995478,51.705023086950696,51.7050230870507,52.00460520705157,52.00460520715157,52.30211620228798,52.302116202387985,52.598165227031835,52.59816522713184,52.891412141664944,52.891412141764945,53.18417173280053,53.18417173290053,53.47607850781545,53.47607850791545,53.76676697408657,53.766766974186574,54.055993469865136,54.05599346996514,54.34351433340237,54.34351433350237,54.63054787344209,54.63054787354209,54.91709408998428,54.917094090084284,55.20339664477772,55.20339664487772,55.489455537822394,55.489455537922396,55.77380879862575,55.77380879872575,56.058040228554724,56.058040228654725,56.34178433498617,56.341784335086174,56.62528477966887,56.62528477976887,56.90817606997965,56.908176070079655,57.190823698541685,57.19082369864169,57.473227665354955,57.47322766545496,57.75441332342442,57.754413323524425,58.03523348887075,58.03523348897075,58.31580999256832,58.31580999266832,58.59553368014522,58.595533680245225,58.875013705973366,58.87501370607337,59.15339725393209,59.15339725403209,59.431537140142055,59.43153714024206,59.70955519547764,59.70955519557764,59.98635494206942,59.98635494216942,60.53934528088108,60.53934528098108,61.089289847833236,61.08928984793324,61.361460021198575,61.361460021298576,61.62924428308622,61.629244283186225,61.894348265737506,61.89434826583751,62.1587212631425,62.158721263242505,62.686492610957465,62.68649261105747,62.94952546874429,62.94952546884429,63.212071003033586,63.21207100313359,63.47449470644851,63.47449470654851,63.736674748114666,63.73667474821467,64.25945103008004,64.25945103018005,64.51907262338422,64.51907262348422,64.77796323144211,64.77796323154212,65.03673200862562,65.03673200872562,65.29537895493476,65.29537895503476,65.55353857774637,65.55353857784637,65.81047989181418,65.81047989191418,66.06717754413323,66.06717754423323,66.32241322595972,66.32241322605972,66.57740524603746,66.57740524613746,66.8316662808689,66.8316662809689,67.0849526687053,67.0849526688053,67.33811722566733,67.33811722576733,67.5910381208806,67.5910381209806,67.84347169259634,67.84347169269634,68.0957834334377,68.0957834335377,68.34687686553526,68.34687686563527,68.59760480500968,68.59760480510968,68.84796725186096,68.84796725196097,69.0980860369635,69.0980860370635,69.59807994541977,69.59807994551977,69.8468585909041,69.8468585910041,70.09527174376531,70.09527174386531,70.34331940400337,70.34331940410337,70.83795275398691,70.83795275408691,71.08441661285804,71.08441661295804,71.57722249972588,71.57722249982588,72.06966289397059,72.06966289407059,72.56161596471777,72.56161596481778,72.80722700746823,72.80722700756823,73.05235072672117,73.05235072682117,73.29723078422533,73.29723078432534,73.78528526699236,73.78528526709236,74.02785053788331,74.02785053798331,74.26944116177921,74.26944116187921,74.50956981518256,74.50956981528256,74.98799965887355,74.98799965897355,75.22617901828681,75.22617901838682,75.46326189983066,75.46326189993066,75.6991264726307,75.6991264727307,75.93474738368197,75.93474738378197,76.16854083161755,76.16854083171755,76.63478758787052,76.63478758797052,76.86614441831848,76.86614441841849,77.32800526309377,77.32800526319377,77.55753463042605,77.55753463052605,77.78633301251203,77.78633301261203,78.01476590197488,78.01476590207488,78.24246780619144,78.24246780629144,78.69750612200144,78.69750612210144,78.92350239397668,78.92350239407668,79.14913317332878,79.14913317342878,79.37427662918337,79.37427662928337,79.59868909979167,79.59868909989167,80.04629573226447,80.04629573236447,80.26900257063144,80.26900257073144,80.49097842375215,80.49097842385216,80.7119796298778,80.7119796299778,80.93261534338032,80.93261534348032,81.15276373338531,81.15276373348532,81.37279029251593,81.37279029261593,81.81211242553088,81.81211242563089,82.03128616854083,82.03128616864083,82.25021624980202,82.25021624990202,82.46890266931446,82.46890266941446,82.6874672579525,82.68746725805251,82.90591001571619,82.90591001581619,83.12423094260548,83.12423094270548,83.34218637687162,83.34218637697163,83.55916716414274,83.55916716424274,83.77566062791632,83.77566062801633,83.99203226081553,83.99203226091554,84.20816023196599,84.20816023206599,84.42392271049329,84.42392271059329,84.63883237289994,84.63883237299994,84.85264555743717,84.85264555753717,85.06584958760249,85.06584958770249,85.27832263252154,85.27832263262154,85.48921187607364,85.48921187617364,85.69997928875135,85.69997928885135,85.90952839268527,85.90952839278528,86.1189556657448,86.11895566584481,86.3281392770556,86.3281392771556,86.53720105749198,86.53720105759199,86.74565368355648,86.74565368365649,86.9539844787466,86.9539844788466,87.16219344306234,87.16219344316234,87.37003691475493,87.37003691485494,87.57775855557315,87.57775855567316,87.78511470376823,87.78511470386823,87.99234902108893,87.99234902118893,88.19860869141458,88.19860869151458,88.40474653086585,88.40474653096585,88.81690037889402,88.81690037899402,89.02194174047587,89.02194174057587,89.22673944030896,89.22673944040896,89.4312934783933,89.4312934784933,89.63560385472887,89.63560385482887,89.8389395840694,89.8389395841694,90.04190982078678,90.04190982088679,90.2447582266298,90.2447582267298,90.44736297072404,90.44736297082405,90.64972405306953,90.64972405316954,90.85111048841998,90.85111048851998,91.05188776939852,91.05188776949852,91.25144674163326,91.25144674173326,91.45076205211925,91.45076205221925,91.64995553173085,91.64995553183086,91.84853985697055,91.84853985707055,92.04700235133588,92.04700235143588,92.24522118395244,92.24522118405244,92.44331818569462,92.44331818579462,92.64117152568804,92.64117152578804,92.83853754218394,92.83853754228394,93.23302591342699,93.23302591352699,93.42990460642537,93.42990460652537,93.62495583630803,93.62495583640803,93.81927608094443,93.81927608104444,94.01347449470644,94.01347449480645,94.20706375409657,94.20706375419657,94.40028752086354,94.40028752096354,94.5929021332586,94.5929021333586,94.78466392953302,94.78466392963303,94.97557290968678,94.97557290978678,95.16587273546862,95.16587273556863,95.3560507303761,95.3560507304761,95.54610689440918,95.54610689450918,95.7360412275679,95.7360412276679,96.11566623213655,96.11566623223655,96.3047477491746,96.3047477492746,96.4934637735895,96.4934637736895,96.87016483717304,96.87016483727304,97.0579062145929,97.0579062146929,97.24516026851525,97.24516026861525,97.43217066068883,97.43217066078883,97.61905922198804,97.61905922208804,97.80570412153848,97.80570412163848,98.17850659714185,98.17850659724185,98.36356769532534,98.36356769542535,98.54850696263448,98.54850696273448,98.73259341382293,98.73259341392293,98.91631437238826,98.91631437248826,99.0993043457073,99.0993043458073,99.4650406305966,99.4650406306966,99.82931494499336,99.82931494509336],[0.0,1e-10,12.723125658772348,12.723125658872348,24.349868459765254,24.349868459865252,35.35061685371755,35.35061685381755,45.02103786816269,45.021037868262695,53.56858230762419,53.56858230772419,61.11864900609284,61.11864900619284,67.71579882485011,67.71579882495011,73.42373094380476,73.42373094390476,78.62471185404604,78.62471185414604,82.92069309278085,82.92069309288085,86.21933941379616,86.21933941389617,89.36952094217656,89.36952094227657,91.13174590025794,91.13174590035794,92.89154286269256,92.89154286279256,94.58528406120834,94.58528406130834,96.15862524030015,96.15862524040016,97.14239194705256,97.14239194715256,98.11380444066121,98.11380444076121,98.88155094648984,98.88155094658984,99.5120442866406,99.5120442867406,99.93558670372454,99.93558670382454],[0.0,1e-10,0.9223519792972678,0.9223519793972678,1.8131315619941344,1.8131315620941344,2.6785437277692914,2.6785437278692914,3.5290821922558204,3.5290821923558204,4.322863342622553,4.322863342722553,5.096295809631224,5.096295809731224,5.84089337107421,5.84089337117421,6.558207271871185,6.558207271971185,7.2680386971732664,7.2680386972732665,7.972668889509387,7.972668889609387,8.669086608741356,8.669086608841356,9.360941842915464,9.360941843015464,10.017027194235938,10.017027194335938,10.63862015851898,10.63862015861898,11.258753127583507,11.258753127683507,11.845397456323331,11.845397456423331,12.42820929761455,12.42820929771455,13.001622419686576,13.001622419786576,13.565636822539407,13.565636822639407,14.116602518126752,14.116602518226752,14.647128280654881,14.647128280754881,15.174734052745977,15.174734052845977,15.698598587089627,15.698598587189627,16.21717063876616,16.217170638866158,16.72187273586679,16.721872735966787,17.220734852093358,17.220734852193356,17.71722447608984,17.717224476189838,18.19993539521158,18.199935395311577,18.68036507180439,18.680365071904387,19.159334753178683,19.15933475327868,19.633741949495114,19.633741949595112,20.107236648799976,20.107236648899974,20.57981885109326,20.57981885119326,21.03396861375279,21.03396861385279,21.483555891354456,21.483555891454454,21.932321921645705,21.932321921745704,22.375430470465208,22.375430470565206,22.813064037215277,22.813064037315275,23.247138865620215,23.247138865720213,23.67893245149622,23.678932451596218,24.108809793647925,24.108809793747923,24.534307150144084,24.534307150244082,24.953325777858076,24.953325777958074,25.370975660054714,25.370975660154713,26.204176681321368,26.204176681421366,26.613157841908066,26.613157842008064,27.019219012057736,27.019219012157734,27.424550184598147,27.424550184698145,27.827965113414255,27.827965113514253,28.230832544023418,28.230832544123416,28.630688734494395,28.630688734594393,29.029723677654957,29.029723677754955,29.426842377091216,29.426842377191214,29.821041086090442,29.82104108619044,30.21195480584801,30.211954805948007,30.60186477889285,30.601864778992848,30.989493509408756,30.989493509508755,31.37666599141888,31.376665991518877,31.761374731497753,31.76137473159775,32.144532226656956,32.14453222675696,32.525225979884915,32.52522597998492,32.904185988790886,32.90418598889089,33.28214225098413,33.28214225108413,33.65964226467158,33.659642264771584,34.03613853164631,34.03613853174631,34.41144855250599,34.41144855260599,34.783929832629795,34.7839298327298,35.155772364845504,35.155772364945506,35.51648243352003,35.516482433620034,35.8764625045853,35.8764625046853,36.2350738301332,36.235073830233205,36.59213391076144,36.59213391086144,36.94746024706769,36.94746024716769,37.65793042027787,37.65793042037787,38.01243550927371,38.01243550937371,38.36429435693598,38.36429435703598,38.711590719540396,38.7115907196404,39.40554469684112,39.40554469694112,40.0970349322106,40.0970349323106,40.439586310354834,40.439586310454835,40.77885269925741,40.778852699357415,41.117845339056515,41.11784533915652,41.45674672915446,41.45674672925446,41.79464437253968,41.79464437263968,42.130625772200595,42.1306257723006,42.46469092813721,42.46469092823721,42.79428484871712,42.79428484881712,43.119133784836855,43.11913378493686,43.443070223945014,43.443070224045016,43.76645916484623,43.766459164946234,44.08774936262084,44.08774936272084,44.40794456398155,44.40794456408155,44.7259497725145,44.7259497726145,45.03948374569073,45.03948374579073,45.352105221855396,45.3521052219554,45.663722951307335,45.66372295140734,45.97515818135695,45.975158181456955,46.28403841977418,46.28403841987418,46.59127616357056,46.591276163670564,46.89605016543571,46.89605016553571,47.1926116941967,47.1926116942967,47.48871697445191,47.48871697455191,47.77788727741917,47.77788727751917,48.3508441509854,48.350844151085404,48.632075729951985,48.63207573005199,48.91212106280352,48.91212106290352,49.191162648942324,49.191162649042326,49.46774049314988,49.467740493249885,49.74322334094356,49.74322334104356,50.01852368933492,50.01852368943492,50.29282029101355,50.29282029111355,50.56246315793316,50.56246315803316,50.83174102604814,50.831741026148144,51.10092764446196,51.10092764456196,51.367650520944544,51.367650521044546,51.63400839862249,51.63400839872249,51.899818778093504,51.899818778193506,52.16416916234599,52.164169162445994,52.42788079869038,52.42788079879038,52.690588688322045,52.69058868842205,52.95320532825255,52.95320532835255,53.21408822386107,53.21408822396107,53.73539776657231,53.735397766672314,53.99500316636463,53.995003166464635,54.25451731645579,54.25451731655579,54.51366646774232,54.51366646784232,54.77263311962653,54.772633119726535,55.030778524200336,55.03077852430034,55.28755518325678,55.28755518335678,55.5441493429109,55.5441493430109,55.79919225764536,55.79919225774536,56.05350517477055,56.05350517487055,56.307270593688806,56.30727059378881,56.81452768242184,56.81452768252184,57.06792810253546,57.06792810263546,57.3202335262352,57.3202335263352,57.57244770023378,57.57244770033378,57.8226543808069,57.822654380906904,58.07276981167887,58.07276981177887,58.822477356386656,58.82247735648666,59.07058529383316,59.07058529393316,59.318419482176196,59.3184194822762,59.56570617231228,59.565706172412284,59.81189786603449,59.811897866134494,60.05708581304396,60.05708581314396,60.30181751154765,60.30181751164765,60.54591046214323,60.545910462243235,60.78945591453188,60.78945591463188,61.03163262140316,61.031632621503164,61.27198433425131,61.27198433435131,61.512062297995975,61.51206229809598,61.75086276592444,61.75086276602444,61.988111988933234,61.988111989033236,62.46215418644504,62.46215418654504,62.69757841543069,62.69757841553069,62.93282014501403,62.93282014511403,63.167970624896206,63.16797062499621,63.402938605376065,63.402938605476066,63.6375415870513,63.637541587151304,63.87159707051959,63.87159707061959,64.10556130428672,64.10556130438673,64.3394342883527,64.33943428845271,64.57221227600479,64.57221227610479,64.8045340151511,64.80453401525111,65.03621700638931,65.03621700648931,65.26689625091478,65.26689625101478,65.49556800201479,65.4955680021148,65.72396600401133,65.72396600411133,65.95209025690441,65.95209025700441,66.17994076069401,66.17994076079401,66.40551002195468,66.40551002205468,66.63098803351419,66.63098803361419,66.85600979656792,66.85600979666792,67.07948031470197,67.07948031480197,67.30176458672098,67.30176458682098,67.52322761142958,67.52322761152958,67.74432563733353,67.74432563743353,67.96469366562825,67.96469366572825,68.18442294601485,68.18442294611485,68.40396972699915,68.40396972709915,68.62242151156956,68.62242151166956,68.84014329853069,68.8401432986307,69.05777383579068,69.05777383589069,69.27421812693564,69.27421812703564,69.49057116837942,69.49057116847942,69.7067417104209,69.7067417105209,69.92154350694501,69.92154350704502,70.13452030944599,70.13452030954599,70.34631086583191,70.34631086593191,70.55801017251669,70.55801017261669,70.7696182295003,70.7696182296003,70.98077003797813,70.98077003807813,71.19082685004207,71.19082685014207,71.39942366688749,71.39942366698749,71.60637798911209,71.60637798921209,71.81232856462395,71.81232856472396,72.0180966407335,72.0180966408335,72.22340846833727,72.22340846843727,72.42862904623988,72.42862904633988,72.63348462533786,72.63348462543786,72.83697145891847,72.83697145901847,73.03972829488984,73.03972829498984,73.24221138175773,73.24221138185773,73.44414697041867,73.44414697051867,73.64580880997615,73.64580881007615,73.8472881501313,73.84728815023131,74.04803749267721,74.04803749277721,74.24814808731502,74.24814808741502,74.44807618255051,74.44807618265051,74.64773052868252,74.64773052878252,74.84701987600991,74.84701987610991,75.04503172752109,75.0450317276211,75.24295232933112,75.24295232943112,75.44059918203767,75.44059918213767,75.6372422880315,75.6372422881315,75.83324664611723,75.83324664621723,76.02906850480065,76.02906850490065,76.2246166143806,76.2246166144806,76.41998222455821,76.41998222465821,76.61525658503469,76.61525658513469,76.80961844849958,76.80961844859958,77.00361531315986,77.00361531325986,77.1967909305097,77.19679093060971,77.38905405084799,77.38905405094799,77.58049592387584,77.58049592397585,77.9622846735177,77.9622846736177,78.15244905072936,78.15244905082936,78.34224842913639,78.34224842923639,78.53195655784228,78.53195655794228,78.721573436847,78.721573436947,78.91091656674824,78.91091656684824,79.10016844694833,79.10016844704833,79.28923782774612,79.28923782784612,79.4776684606358,79.4776684607358,79.66527784621505,79.66527784631505,79.85279598209316,79.85279598219316,80.03821537484465,80.03821537494466,80.22208352267646,80.22208352277646,80.4056779214048,80.4056779215048,80.58908982073083,80.58908982083084,80.77241047035571,80.77241047045571,80.95563987027943,80.95563987037943,81.13813927259388,81.13813927269388,81.32027367610371,81.32027367620371,81.50204308080892,81.50204308090892,81.68207874119213,81.68207874129213,81.86184065247187,81.86184065257187,82.0414200643493,82.0414200644493,82.22090822652555,82.22090822662555,82.40021388929951,82.40021388939951,82.57869830476305,82.57869830486305,82.75645272261734,82.75645272271734,82.9340246410693,82.9340246411693,83.11150530982012,83.11150530992012,83.28871222946745,83.28871222956745,83.64239607115287,83.64239607125288,83.81869049378864,83.81869049388864,83.99489366672324,83.99489366682324,84.17054934145091,84.17054934155091,84.34574876767279,84.34574876777279,84.52030944598657,84.52030944608657,84.69477887459918,84.69477887469918,84.86897455410833,84.86897455420834,85.04298773421517,85.04298773431518,85.21654466581622,85.21654466591622,85.38864160219875,85.38864160229875,85.5602822900755,85.56028229017551,85.73137547974531,85.73137547984531,85.90219492031163,85.90219492041163,86.07173686506177,86.07173686516177,86.2406400619038,86.2406400620038,86.4091782599412,86.4091782600412,86.57753395857628,86.57753395867628,86.74561590810791,86.74561590820791,86.9135153582372,86.91351535833721,87.08068481075725,87.08068481085725,87.24703301596688,87.24703301606688,87.41246872416492,87.41246872426493,87.57781318266183,87.57781318276183,87.90841084995446,87.90841085005447,88.0734815593479,88.0734815594479,88.23846101904016,88.23846101914016,88.40298423022665,88.40298423032665,88.56741619171197,88.56741619181197,88.73166565379498,88.73166565389498,88.8952763679699,88.8952763680699,89.05788333543208,89.05788333553208,89.22003405438848,89.22003405448848,89.38191102424139,89.38191102434139,89.54369674439316,89.54369674449316,89.7051174657403,89.7051174658403,89.86644693738629,89.86644693748629,90.02759390962994,90.02759390972994,90.18810213396551,90.18810213406552,90.34669411457678,90.34669411467678,90.50519484548688,90.50519484558689,90.66342182729352,90.66342182739352,90.97969329150447,90.97969329160448,91.13737277510417,91.13737277520417,91.29496100900269,91.29496100910269,91.45245799320007,91.45245799330007,91.60977247799514,91.60977247809514,91.76663071428442,91.76663071438442,91.92266770326327,91.92266770336327,92.07760969582824,92.07760969592825,92.23227793928974,92.23227793938975,92.38667243364777,92.38667243374778,92.54051942979886,92.54051942989886,92.69400142714532,92.69400142724533,92.84739217479063,92.84739217489063,93.1536261718743,93.1536261719743,93.45885642224522,93.45885642234522,93.61106092377547,93.61106092387547,93.76262667739763,93.76262667749764,93.91400993161747,93.91400993171747,94.06521068643501,94.06521068653501,94.21632019155138,94.21632019165138,94.5183567023818,94.5183567024818,94.66891870929123,94.66891870939124,94.8182944700856,94.8182944701856,94.9665752344661,94.96657523456611,95.11476474914545,95.11476474924545,95.26258926502015,95.26258926512016,95.4095012838833,95.4095012839833,95.55623080334412,95.55623080344412,95.70277782340263,95.70277782350263,95.84859484585188,95.84859484595188,95.99231312517452,95.99231312527452,96.13584890509483,96.13584890519483,96.27892843650937,96.27892843660938,96.42182546852159,96.42182546862159,96.56399250292455,96.56399250302455,96.70579453852288,96.70579453862288,96.9893073600184,96.9893073601184,97.13037939800748,97.13037939810748,97.27108643719191,97.27108643729191,97.41142847757173,97.41142847767173,97.55158801854924,97.55158801864924,97.69101756191749,97.69101756201749,97.82980835737763,97.82980835747763,97.96850790313661,97.96850790323661,98.2454507461488,98.2454507462488,98.38332904459737,98.38332904469738,98.5211160933448,98.5211160934448,98.65862939298874,98.65862939308875,98.79586894352921,98.79586894362922,98.93155724915,98.93155724925,99.06368681642567,99.06368681652567,99.17893518898725,99.17893518908726,99.26151616853454,99.26151616863454,99.32237971920642,99.32237971930643,99.36152584100287,99.36152584110287,99.38041452914241,99.38041452924242],[0.0,1e-10,1.0329492537063194,1.0329492538063194,1.9118195650078171,1.9118195651078171,2.694453409562451,2.694453409662451,3.457051961823966,3.457051961923966,4.216884134814883,4.216884134914883,4.9329572175254315,4.9329572176254315,5.6346115961589245,5.6346115962589245,6.3298949195025545,6.3298949196025545,7.017382083083591,7.017382083183591,7.6857560807950405,7.6857560808950405,8.348094341916095,8.348094342016095,8.975559458292642,8.975559458392642,9.595228414906593,9.595228415006593,10.214478223146212,10.214478223246212,10.830710163090632,10.830710163190632,11.41986511805314,11.41986511815314,12.000469446179252,12.000469446279252,12.577133779586635,12.577133779686635,13.148935991851756,13.148935991951756,13.720402885417409,13.720402885517409,14.291031482234397,14.291031482334397,14.854115408313389,14.854115408413389,15.41032530105332,15.41032530115332,15.965864556394319,15.965864556494319,16.509499997904257,16.509499998004255,17.033267806470814,17.033267806570812,17.555359021540035,17.555359021640033,18.06948641749693,18.069486417596927,18.57556616466663,18.575566164766627,19.072676136625603,19.0726761367256,19.566349091915047,19.566349092015045,20.0497109971959,20.049710997295897,20.529384396782618,20.529384396882616,21.007045884172538,21.007045884272536,21.475989085376334,21.475989085476332,21.925986780060274,21.925986780160272,22.370619375552753,22.37061937565275,22.809048575105102,22.8090485752051,23.242950972214654,23.242950972314652,23.66486572581828,23.66486572591828,24.085439204624045,24.085439204724043,24.50374928220841,24.50374928230841,24.921807870768173,24.92180787086817,25.338944332904404,25.338944333004402,25.75574547634117,25.755745476441167,26.17195981205387,26.17195981215387,26.583479685974037,26.583479686074035,26.993155307047143,26.99315530714714,27.38983732851592,27.38983732861592,27.782411695916238,27.782411696016236,28.173393299494087,28.173393299594085,28.558758314855876,28.558758314955874,28.94169226964653,28.94169226974653,29.31867431752166,29.318674317621657,29.695153387347588,29.695153387447586,30.069620544976715,30.069620545076713,30.444003872930978,30.444003873030976,30.815117843565442,30.81511784366544,31.186147984525043,31.18614798462504,31.55701046613491,31.557010466234907,31.924016782700907,31.924016782800905,32.29043629154285,32.29043629164285,32.65610133331098,32.65610133341098,33.021095737680184,33.021095737780186,33.38323993310392,33.383239933203924,33.744881150478456,33.74488115057846,34.10585173045406,34.105851730554065,34.4667384807548,34.4667384808548,34.825110340809545,34.825110340909546,35.18256007444075,35.18256007454075,35.53892002229869,35.53892002239869,35.891759123812236,35.89175912391224,36.240071422882984,36.240071422982986,36.58486287560934,36.58486287570934,36.92856454256242,36.92856454266242,37.27042195666844,37.270421956768445,37.609848310203326,37.60984831030333,37.947262751541416,37.94726275164142,38.28300059938218,38.28300059948218,38.61840312852347,38.61840312862347,38.953302679615554,38.953302679715556,39.281831175417786,39.28183117551779,39.60859924804782,39.60859924814782,39.93369072718051,39.93369072728051,40.25375242582122,40.25375242592122,40.57280816836352,40.572808168463524,40.88909753163522,40.889097531735224,41.20412944978393,41.20412944988393,41.51907753825777,41.51907753835777,41.83318732998294,41.83318733008294,42.147045632683515,42.14704563278352,42.459981808960556,42.45998180906056,42.772498836863264,42.772498836963265,43.083590760293234,43.083590760393236,43.394515024373476,43.39451502447348,43.70443333235532,43.704433332455324,44.0117529204163,44.0117529205163,44.317898893029145,44.31789889312915,44.620356359947856,44.62035636004786,44.918790002472974,44.918790002572976,45.216720666948895,45.2167206670489,45.51096282573068,45.51096282583068,45.8046181767884,45.804618176888404,46.09735140142259,46.097351401522594,46.38849186223431,46.38849186233431,46.67862636694763,46.678626367047634,46.96783874523743,46.96783874533743,47.256045167428816,47.25604516752882,47.54358095222128,47.54358095232128,48.11404188968853,48.11404188978853,48.39461981146706,48.39461981156706,48.673437310073396,48.6734373101734,48.95141651193106,48.95141651203106,49.22864124671492,49.228641246814924,49.50569832214906,49.50569832224906,49.779821358962856,49.77982135906286,50.05268695065366,50.05268695075366,50.32538488299473,50.325384883094735,50.5963223921636,50.5963223922636,50.86684075295814,50.86684075305814,51.136856135703475,51.13685613580348,51.40662002942422,51.40662002952422,51.67521030769682,51.675210307796824,51.94354909694483,51.94354909704483,52.211384908143636,52.21138490824364,52.478633911618374,52.478633911718376,52.74496078866958,52.74496078876958,53.01078468767159,53.01078468777159,53.275686460250064,53.275686460350066,53.53991759542961,53.53991759552961,53.80381341190968,53.80381341200968,54.06628412391702,54.066284124017024,54.328587176574636,54.32858717667464,54.590387251183046,54.59038725128305,54.851013710343324,54.851013710443326,55.1098797463314,55.1098797464314,55.36765599654622,55.36765599664622,55.62459395001237,55.62459395011237,55.88069360672985,55.88069360682985,56.135116669949994,56.135116670049996,56.38912058479581,56.389120584895814,56.64262152159243,56.64262152169243,56.89486501326605,56.89486501336605,57.146186378516134,57.146186378616136,57.39717242506675,57.39717242516675,57.646733367144634,57.646733367244636,57.895036864099524,57.895036864199525,58.14157993788221,58.141579937982215,58.38753620394083,58.387536204040835,58.63215119520159,58.63215119530159,59.120039902925235,59.12003990302524,59.36297830068866,59.36297830078866,59.605665209427485,59.60566520952749,59.84734616206791,59.84734616216791,60.08869179600887,60.08869179610887,60.3298697706001,60.3298697707001,60.57071242649185,60.570712426591854,60.810800615309816,60.81080061540982,61.04996667770424,61.04996667780424,61.28821061367513,61.288210613775135,61.52611923094656,61.526119231046565,61.762602743745255,61.76260274384526,61.998834767519355,61.99883476761936,62.234479983569386,62.23447998366939,62.46920307319588,62.46920307329588,62.70375850347264,62.703758503572644,62.937391807325874,62.937391807425875,63.16918085833204,63.16918085843204,63.40046693128901,63.40046693138901,63.63141768554651,63.63141768564651,63.86203312110454,63.86203312120454,64.09222940828823,64.09222940838823,64.32217420644734,64.32217420654734,64.54985560338504,64.54985560348504,64.77653104422434,64.77653104432434,65.00278733668931,65.00278733678931,65.22820533240562,65.22820533250562,65.45286886104812,65.45286886114812,65.67694558196656,65.67694558206657,65.9007708138604,65.9007708139604,66.12434455672964,66.12434455682964,66.34749915122454,66.34749915132454,66.56998310832051,66.56998310842052,66.79238323574162,66.79238323584163,67.01193315421726,67.01193315431726,67.23114775399344,67.23114775409344,67.44960788669582,67.44960788679582,67.66781653037359,67.66781653047359,67.88460006957862,67.88460006967863,68.0985333998382,68.0985333999382,68.31238290042292,68.31238290052292,68.52572942295843,68.52572942305844,68.73781850037095,68.73781850047095,69.58583949132154,69.58583949142154,70.00892786037329,70.00892786047329,70.21942417396335,70.21942417406335,70.42958516885392,70.42958516895392,70.63915935602044,70.63915935612044,70.84856588383722,70.84856588393723,71.05746943360481,71.05746943370481,71.26620532402265,71.26620532412265,71.47410291769184,71.47410291779184,71.68124604428722,71.68124604438722,71.888137681858,71.888137681958,72.09142464340952,72.09142464350953,72.29337033016317,72.29337033026317,72.49447772016816,72.49447772026816,72.69474681342449,72.69474681352449,72.89493207700593,72.89493207710593,73.09494968123767,73.09494968133767,73.29370984034638,73.29370984044638,73.49238616978025,73.49238616988025,73.6903080321403,73.6903080322403,73.88697244937735,73.88697244947735,74.08305005889035,74.08305005899035,74.27887617937874,74.27887617947874,74.47403166246819,74.4740316625682,74.66868416750846,74.66868416760846,74.86325284287385,74.86325284297385,75.05748619953978,75.05748619963978,75.25155189685597,75.25155189695597,75.44511461612296,75.44511461622297,75.63775520896642,75.63775520906643,75.82855154896282,75.82855154906282,76.01918022960947,76.01918022970948,76.20704253098555,76.20704253108555,76.39423419496268,76.39423419506268,76.58050373251628,76.58050373261628,76.76660561072013,76.76660561082014,76.9519530218502,76.9519530219502,77.13662979558134,77.13662979568134,77.320971250613,77.320971250713,77.5052288759698,77.50522887606981,77.68931884197687,77.68931884207687,77.8729896596096,77.8729896597096,78.05624132886801,78.05624132896801,78.23915767942694,78.23915767952694,78.42199020031101,78.42199020041102,78.60381676509668,78.60381676519668,78.78405056605988,78.78405056615988,78.96319458124982,78.96319458134982,79.14175178871568,79.14175178881568,79.32005750715696,79.32005750725696,79.4981955662485,79.4981955663485,79.67549532859137,79.67549532869137,79.85204062386045,79.85204062396045,80.02825060043004,80.02825060053004,80.20395759895045,80.20395759905045,80.37949693812112,80.37949693822112,80.5540303211934,80.5540303212934,80.90192347188982,80.90192347198982,81.07461260211502,81.07461260221503,81.24721790266537,81.24721790276537,81.76444699659233,81.76444699669233,81.93478889592127,81.93478889602127,82.10496313590048,82.10496313600048,82.44506012683429,82.4450601269343,82.61414458104024,82.61414458114024,82.78306137589645,82.78306137599645,82.95172668172806,82.95172668182806,83.12022432820994,83.12022432830994,83.28763218891855,83.28763218901855,83.45428558255337,83.45428558265337,83.61926238269085,83.61926238279085,83.78356854542939,83.78356854552939,83.94779087849308,83.94779087859308,84.11176172253217,84.11176172263217,84.43911660288626,84.43911660298626,84.60174617212748,84.60174617222748,84.76362127429489,84.7636212743949,85.08711998960511,85.08711998970512,85.24840828404847,85.24840828414847,85.40961274881695,85.40961274891696,85.56922444976297,85.56922444986297,85.72757870558598,85.72757870568599,85.8856814723844,85.8856814724844,86.04370040950796,86.04370040960796,86.20163551695664,86.20163551705664,86.35948679473047,86.35948679483047,86.51708658347968,86.51708658357968,86.6741833941797,86.67418339427971,86.8308610565054,86.8308610566054,86.98737105948135,86.98737105958135,87.1436295734327,87.1436295735327,87.29980425770918,87.29980425780919,87.61206979658729,87.6120697966873,87.76556193126805,87.76556193136805,87.91838342854987,87.91838342864988,88.07112109615683,88.07112109625683,88.22377493408892,88.22377493418892,88.5288311209285,88.5288311210285,88.83313284069428,88.83313284079428,88.9849483818777,88.9849483819777,89.28807648619535,89.28807648629535,89.4393052196547,89.4393052197547,89.5904501234392,89.5904501235392,89.89265610133332,89.89265610143332,90.0432980270686,90.0432980271686,90.19377229345416,90.19377229355416,90.34391124114025,90.34391124124025,90.49329572175255,90.49329572185255,90.64184190561618,90.64184190571618,90.79030425980493,90.79030425990493,90.93868278431881,90.93868278441882,91.08647450110865,91.08647450120866,91.2341823882236,91.2341823883236,91.52859220635513,91.52859220645513,91.67370137354922,91.67370137364922,91.81797224399465,91.81797224409465,91.96174013639089,91.96174013649089,92.10290930886624,92.10290930896625,92.24391082199188,92.24391082209188,92.38474467576778,92.38474467586778,92.6663285536447,92.6663285537447,92.80674325904627,92.80674325914627,92.94682264574837,92.94682264584837,93.08639905440127,93.08639905450127,93.2256401443547,93.2256401444547,93.3647135749584,93.3647135750584,93.64252511746633,93.64252511756634,93.78059259197163,93.78059259207163,93.91840857745233,93.91840857755233,94.05614073325816,94.05614073335816,94.19353757036453,94.19353757046453,94.33076674812116,94.33076674822117,94.46782826652807,94.46782826662808,94.74178364399214,94.74178364409214,94.87859367337444,94.87859367347444,95.01431391698347,95.01431391708347,95.14995033091765,95.14995033101765,95.28541908550207,95.28541908560207,95.42055252138705,95.42055252148705,95.55551829792228,95.55551829802228,95.82394091684516,95.82394091694516,95.95706244053332,95.95706244063332,96.22263485051073,96.22263485061073,96.35475041810051,96.35475041820051,96.4865306669908,96.4865306670908,96.61822708620625,96.61822708630625,96.74950435704736,96.74950435714736,96.88011099048953,96.88011099058953,97.01063379425683,97.01063379435683,97.40178305718442,97.40178305728442,97.53138373452819,97.53138373462819,97.66081675252222,97.66081675262222,97.79008211116653,97.79008211126653,97.91926364013597,97.91926364023597,98.04810985040595,98.04810985050595,98.17678840132619,98.1767884014262,98.43347486576774,98.43347486586774,98.56131511993931,98.56131512003931,98.68907154443602,98.68907154453602,98.81657647990812,98.81657648000812,98.94274014058236,98.94274014068236,99.06881997158175,99.06881997168175,99.19481597290626,99.19481597300626,99.31150688032056,99.31150688042057,99.4115995121113,99.4115995122113,99.49886620364742,99.49886620374743,99.5453916731984,99.5453916732984,99.56919930086052,99.56919930096052],[0.0,1e-10,4.397513567256785,4.397513567356785,7.113672327058879,7.113672327158879,9.820268770222716,9.820268770322716,12.439767485934466,12.439767486034466,14.783283918429984,14.783283918529984,17.117756473141124,17.117756473241123,19.292722673808065,19.292722673908063,21.307548872942736,21.307548873042734,23.08354757338934,23.083547573489337,24.73840439497898,24.738404395078977,26.360772381725376,26.360772381825374,27.94944184296948,27.94944184306948,29.449170238614364,29.449170238714363,30.929255562128848,30.929255562228846,32.33837236697867,32.33837236707867,33.74576104231556,33.74576104241556,35.062883752759966,35.06288375285997,36.333116549086654,36.333116549186656,37.59960506480198,37.59960506490198,38.85647365956194,38.856473659661944,40.0491134407577,40.0491134408577,41.21646492674747,41.21646492684747,42.37379326156219,42.37379326166219,43.515741243711766,43.51574124381177,44.633495412680205,44.633495412780206,45.723829926710025,45.723829926810026,46.78812728941158,46.78812728951158,47.84119181027903,47.84119181037903,48.88630693538697,48.88630693548697,49.92681371512707,49.92681371522707,50.928552789460255,50.92855278956026,51.92787248247533,51.92787248257533,52.859276685631926,52.85927668573193,53.779102421051846,53.77910242115185,54.68187727861077,54.68187727871077,55.567543653991606,55.56754365409161,56.43241487090008,56.432414871000084,57.248495231226606,57.24849523132661,58.04838877844861,58.04838877854861,58.83094342622414,58.83094342632414,59.60721920343598,59.60721920353598,60.375718397839606,60.37571839793961,61.1255537935035,61.1255537936035,61.869513548823406,61.86951354892341,62.603795778870854,62.603795778970856,63.33675310962505,63.33675310972505,64.04332766314839,64.04332766324839,64.72628444666157,64.72628444676157,65.40739789202762,65.40739789212762,66.08833852444238,66.08833852454238,66.76058090497534,66.76058090507534,67.41300740042662,67.41300740052662,68.04982312594436,68.04982312604436,68.66232982964675,68.66232982974675,69.27189871317717,69.27189871327717,69.87691685565683,69.87691685575683,70.4761745664267,70.47617456652671,71.07468342107431,71.07468342117431,71.66259308137589,71.66259308147589,72.24168928116148,72.24168928126149,72.811914416114,72.81191441621401,73.3655495077423,73.3655495078423,73.91728365690638,73.91728365700638,74.46740488519171,74.46740488529171,75.01470350193925,75.01470350203925,75.55336147112209,75.55336147122209,76.08591338269255,76.08591338279255,76.6162763302133,76.6162763303133,77.14508396117239,77.14508396127239,77.66444448412742,77.66444448422742,78.1768348847136,78.1768348848136,78.67136794699942,78.67136794709943,79.1588156782822,79.1588156783822,79.64591778366238,79.64591778376239,80.12599216235661,80.12599216245661,80.59005254089763,80.59005254099763,81.05330645899926,81.05330645909926,81.51189442741597,81.51189442751597,81.94219867613758,81.94219867623758,82.36484155068517,82.36484155078517,82.78420097915819,82.78420097925819,83.20217790402084,83.20217790412084,83.60367999419348,83.60367999429349,84.00443322824385,84.00443322834386,84.39735227516891,84.39735227526891,84.77996014933343,84.77996014943344,85.1554826924949,85.1554826925949,85.52731855936212,85.52731855946212,85.89604379310603,85.89604379320603,86.2633289189225,86.2633289190225,86.62646653390792,86.62646653400792,86.9821731919877,86.9821731920877,87.33114014496702,87.33114014506702,87.67935824182408,87.67935824192408,88.02365924511847,88.02365924521847,88.35632417635907,88.35632417645907,88.68593607879349,88.68593607889349,89.01140047039685,89.01140047049685,89.33542475407278,89.33542475417278,89.6561655916741,89.6561655917741,89.97373819183505,89.97373819193506,90.28768172001882,90.28768172011883,90.58975875888042,90.58975875898042,90.88814912144775,90.88814912154776,91.18204634728146,91.18204634738146,91.4577982132293,91.4577982133293,91.71816972651199,91.71816972661199,91.97450893759782,91.97450893769782,92.22503011265677,92.22503011275677,92.47272867617791,92.47272867627791,92.71962077925969,92.71962077935969,92.96294141468138,92.96294141478138,93.2028633953943,93.2028633954943,93.43650650554355,93.43650650564355,93.66847909049696,93.66847909059696,93.89912677615712,93.89912677625712,94.11825359839767,94.11825359849767,94.3359979170279,94.3359979171279,94.55057399821773,94.55057399831773,94.75927443906356,94.75927443916356,94.96757164968972,94.96757164978972,95.16405997531079,95.1640599754108,95.3596842361754,95.3596842362754,95.55133379916025,95.55133379926025,95.73900866426534,95.73900866436534,95.92253601853938,95.92253601863938,96.10116700586009,96.1011670059601,96.27559287803265,96.27559287813266,96.44990354157102,96.44990354167102,96.62196763674257,96.62196763684257,96.79040265993694,96.79040266003695,96.94881453195629,96.94881453205629,97.10636233921915,97.10636233931915,97.26287326877426,97.26287326887426,97.41863534220708,97.41863534230708,97.57111396956533,97.57111396966533,97.71691049614023,97.71691049624023,97.86097889320217,97.86097889330217,98.00406801687346,98.00406801697346,98.14577463693439,98.14577463703439,98.2825272857249,98.2825272858249,98.4168605531973,98.4168605532973,98.5429564033247,98.5429564034247,98.6654231814749,98.66542318157491,98.78547057830703,98.78547057840703,98.9036170326749,98.9036170327749,99.0208418179692,99.0208418180692,99.1355896176283,99.1355896177283,99.24849407914027,99.24849407924027,99.36041926726156,99.36041926736156,99.45569680774156,99.45569680784156,99.5437738085843,99.5437738086843,99.63035309718252,99.63035309728252,99.66762309034489,99.66762309044489,99.69970869496844,99.69970869506844],[0.0,1e-10,15.146233548025764,15.146233548125764,25.178269392327078,25.178269392427076,34.35681881825819,34.35681881835819,43.47594511341361,43.47594511351361,51.06076729207505,51.06076729217505,56.98073368804256,56.980733688142564,62.61304956594791,62.61304956604791,67.81993839260711,67.81993839270712,72.42884346121535,72.42884346131535,76.90546065527863,76.90546065537863,81.18392607112854,81.18392607122854,84.55312237468496,84.55312237478496,87.84458134976197,87.84458134986197,90.25460655278633,90.25460655288633,92.01422570708485,92.01422570718485,93.54505740688883,93.54505740698883,94.92534304116494,94.92534304126494,96.12864743769252,96.12864743779252,96.91537384486138,96.91537384496138,97.67717726127135,97.67717726137136,98.41198543825259,98.41198543835259,99.01136936432371,99.01136936442371,99.32640716886026,99.32640716896026,99.49364323718846,99.49364323728847,99.61960235228227,99.61960235238227,99.72399887986559,99.72399887996559],[0.0,1e-10,5.505708718298276,5.505708718398276,9.365977866522435,9.365977866622435,13.07923794846718,13.07923794856718,16.723408091240703,16.7234080913407,19.97032651942298,19.970326519522978,23.081473029609267,23.081473029709265,25.95775079215721,25.957750792257208,28.772532952011204,28.772532952111202,31.070715003692207,31.070715003792206,33.27226992865028,33.27226992875028,35.43894029987133,35.43894029997133,37.53528588046144,37.53528588056144,39.56334417532915,39.56334417542915,41.587944886109646,41.58794488620965,43.497519183417424,43.497519183517426,45.392830946365464,45.392830946465466,47.24504639336934,47.245046393469345,48.79719293566177,48.79719293576177,50.29543821173751,50.295438211837514,51.74391897398662,51.74391897408662,53.144734469890615,53.14473446999062,54.43756220564228,54.43756220574228,55.70063002121475,55.70063002131475,56.93918603531181,56.939186035411815,58.176754168241104,58.176754168341105,59.36239679728926,59.36239679738926,60.52692346637623,60.526923466476234,61.62834922587162,61.62834922597162,62.72051359941913,62.72051359951913,63.80829425028463,63.808294250384634,64.8516202486003,64.8516202487003,65.88278296003774,65.88278296013775,66.91085854282588,66.91085854292588,67.91942347255049,67.9194234726505,68.82580444398343,68.82580444408343,69.71520620784526,69.71520620794526,70.55700444793496,70.55700444803496,71.375463995436,71.375463995536,72.1783026719716,72.1783026720716,72.9784864178688,72.9784864179688,73.74742842183514,73.74742842193514,74.49605711928912,74.49605711938912,75.2140615005421,75.2140615006421,75.9174946345704,75.9174946346704,76.62037208544184,76.62037208554185,77.31861884333934,77.31861884343934,78.0126053637008,78.0126053638008,78.68312970632762,78.68312970642762,79.33179717811744,79.33179717821744,79.97731577868498,79.97731577878498,80.58461572657426,80.58461572667426,81.17468949660045,81.17468949670045,81.72506279219672,81.72506279229673,82.26475462266644,82.26475462276645,82.78172518627734,82.78172518637734,83.2682566614062,83.2682566615062,83.7515775227398,83.7515775228398,84.22557525555251,84.22557525565252,84.68500174114055,84.68500174124055,85.14047670205751,85.14047670215751,85.59551946496356,85.59551946506356,86.04191826765158,86.04191826775158,86.47751212006708,86.47751212016708,86.90495595284843,86.90495595294843,87.29362544979465,87.29362544989465,87.66266080853134,87.66266080863134,88.0309552563922,88.0309552564922,88.38986483315922,88.38986483325922,88.73568498445321,88.73568498455322,89.064958126187,89.064958126287,89.37039863474823,89.37039863484823,89.66768912367532,89.66768912377532,89.96263339482894,89.96263339492894,90.24843976518065,90.24843976528065,90.51288320527924,90.51288320537924,90.76874442773278,90.76874442783279,91.01867836317969,91.01867836327969,91.26249978390099,91.262499784001,91.455074869044,91.455074869144,91.63795637022822,91.63795637032823,91.81849165363899,91.81849165373899,91.99884170933079,91.99884170943079,92.17530198292448,92.17530198302448,92.34101904881862,92.34101904891862,92.50420466922034,92.50420466932034,92.66140126004242,92.66140126014243,92.81662208852897,92.81662208862898,92.96264327364061,92.96264327374061,93.0892155482617,93.08921554836171,93.21214501107661,93.21214501117662,93.33458053330764,93.33458053340765,93.45466983776521,93.45466983786521,93.57105458784363,93.57105458794364,93.6849696350026,93.6849696351026,93.79456270205257,93.79456270215258,93.89878416525276,93.89878416535277,94.00035069781455,94.00035069791456,94.10123806207352,94.10123806217352,94.1984826145263,94.1984826146263,94.29239306803784,94.29239306813784,94.38599480868446,94.38599480878446,94.47632419296284,94.47632419306284,94.54973611224305,94.54973611234306,94.6130222495536,94.6130222496536,94.66846708009494,94.66846708019494,94.72008387111114,94.72008387121114,94.764476781088,94.76447678118801,94.80535036440466,94.80535036450466,94.84375424480189,94.84375424490189,94.88197289748017,94.88197289758017,94.9129059265461,94.9129059266461,94.93883780720017,94.93883780730017,94.96316438095661,94.96316438105661,94.98465079635571,94.98465079645571],[0.0,1e-10,1.847574598154349,1.847574598254349,3.4708771352610603,3.4708771353610604,5.022606305354935,5.022606305454935,6.503027440658449,6.503027440758449,7.970845295394363,7.970845295494363,9.352496510881274,9.352496510981274,10.698526875500814,10.698526875600814,11.985587153675116,11.985587153775116,13.254671173776686,13.254671173876686,14.424587275727939,14.424587275827939,15.576858784884553,15.576858784984553,16.72276232070175,16.72276232080175,17.800475475342676,17.800475475442674,18.837327467722336,18.837327467822334,19.830465976449112,19.83046597654911,20.793157612646795,20.793157612746793,21.717177077418636,21.717177077518635,22.588859761307134,22.588859761407132,23.446811502682507,23.446811502782506,24.297864606273514,24.297864606373512,25.131339450125502,25.1313394502255,25.943322383956954,25.943322384056952,26.746085023057372,26.74608502315737,27.54287768715208,27.54287768725208,28.327664068179768,28.327664068279766,29.10336282058766,29.103362820687657,29.87455092521346,29.874550925313457,30.620333469537208,30.620333469637206,31.3620696974682,31.3620696975682,32.09584595872492,32.095845958824924,32.810120301629674,32.810120301729675,33.520281995086044,33.520281995186046,34.223412384646814,34.223412384746815,34.92150146198055,34.92150146208055,35.61634021958895,35.61634021968895,36.29976969163089,36.299769691730894,36.975106530887324,36.975106530987325,37.6453357248611,37.6453357249611,38.31536591966802,38.31536591976802,38.97829847752371,38.97829847762371,39.6398380412114,39.6398380413114,40.2958056282271,40.2958056283271,40.93903726856397,40.939037268663974,41.565353979718004,41.565353979818006,42.16905111890598,42.169051119005985,42.77089093253663,42.77089093263663,43.36888342894138,43.36888342904138,43.96309494117585,43.96309494127585,44.55266313951699,44.55266313961699,45.12743906645511,45.12743906655511,45.70082199922523,45.70082199932523,46.27354160143916,46.273541601539165,46.84533254087443,46.84533254097443,47.390789257228974,47.390789257328976,47.9316026596902,47.9316026597902,48.46326210047601,48.46326210057601,48.98172126319364,48.98172126329364,49.49892009785452,49.498920097954525,50.01598626640416,50.015986266504164,50.527944789671146,50.52794478977115,51.03632132793471,51.03632132803471,51.53454890868857,51.53454890878857,52.02587785165806,52.02587785175806,52.51607913268203,52.51607913278203,53.00037677175592,53.00037677185592,53.470081138593635,53.47008113869364,53.937662847651545,53.93766284775155,54.40113190726108,54.40113190736108,54.860488317422245,54.86048831752225,55.3177220698036,55.3177220699036,55.7723024999602,55.7723025000602,56.201411036759126,56.20141103685913,56.61539563687693,56.615395636976935,57.01472063170296,57.01472063180296,57.41265263236098,57.41265263246098,57.8028899985672,57.802889998667204,58.19206603588353,58.19206603598353,58.58110940708862,58.58110940718862,58.96862711801447,58.96862711811447,59.35508350005041,59.355083500150414,59.73948355736217,59.73948355746217,60.12222528828346,60.12222528838346,60.503043360591796,60.5030433606918,60.881738775120326,60.88173877522033,61.25751553520163,61.25751553530163,61.62320967082884,61.623209670928844,61.98837314201111,61.988373142111115,62.353005948748425,62.35300594884843,62.71465376798289,62.71465376808289,63.07311760054765,63.07311760064765,63.42713711838593,63.42713711848593,63.779299310666886,63.77929931076689,64.13106350461413,64.13106350471413,64.48097037300404,64.48097037310404,64.82344793916462,64.82344793926463,65.16327218310046,65.16327218320046,65.50017777258905,65.50017777268906,65.8368843629108,65.8368843630108,66.17332562101006,66.17332562111007,66.5040622363261,66.50406223642611,66.83300785914042,66.83300785924042,67.16049415473114,67.16049415483114,67.48559246031957,67.48559246041957,67.80889977340628,67.80889977350628,68.13054876010253,68.13054876020253,68.4502077551302,68.4502077552302,68.76913708654607,68.76913708664607,69.08753575351697,69.08753575361698,69.40440876020865,69.40440876030866,69.71192880605807,69.71192880615807,70.01818852385071,70.01818852395071,70.32431557553213,70.32431557563213,70.62566664720897,70.62566664730898,70.92529305943972,70.92529305953973,71.22379180972496,71.22379180982496,71.51691758250506,71.51691758260506,71.80712470083792,71.80712470093792,72.09374983416735,72.09374983426736,72.38004330221871,72.38004330231871,72.6658061058251,72.6658061059251,72.95117091109779,72.95117091119779,73.2328210652558,73.23282106535581,73.51141989885535,73.51141989895535,73.78875840439815,73.78875840449815,74.06158626215885,74.06158626225886,74.33275579352907,74.33275579362908,74.59954734322845,74.59954734332845,74.8662062268166,74.8662062269166,75.12994645595751,75.12994645605751,75.39216102481917,75.39216102491918,75.65251826812352,75.65251826822352,75.91201318170481,75.91201318180481,76.16527278805793,76.16527278815794,76.41481774329638,76.41481774339638,76.65746406075047,76.65746406085047,76.89792138736912,76.89792138746913,77.13658772148607,77.13658772158607,77.37120773921026,77.37120773931026,77.60470009498894,77.60470009508894,77.83805978465637,77.83805978475637,78.07075614376761,78.07075614386761,78.30239117398895,78.30239117408895,78.53283220920915,78.53283220930915,78.76314057831812,78.76314057841812,78.99119362353603,78.99119362363604,79.21918033569833,79.21918033579833,79.447100714805,79.447100714905,79.67382709891055,79.67382709901055,79.89942582107057,79.89942582117057,80.12071289461535,80.12071289471535,80.33815265093423,80.33815265103424,80.5555260741975,80.5555260742975,80.77243516607143,80.77243516617143,80.98795126377738,80.98795126387738,81.20180903509284,81.20180903519284,81.41341148251726,81.41341148261726,81.62315660438435,81.62315660448435,81.83157506513906,81.83157506523906,82.0380035342252,82.0380035343252,82.24330434136583,82.24330434146583,82.44787548489464,82.44787548499464,82.65211496314535,82.65211496324535,82.85376745222693,82.85376745232693,83.0550219429748,83.0550219430748,83.25581210233334,83.25581210243334,83.45487760224577,83.45487760234577,83.65341243771326,83.65341243781326,83.85115127651332,83.85115127661332,84.04716545586729,84.04716545596729,84.23926598493975,84.23926598503975,84.62200771586103,84.62200771596103,84.8117202549312,84.8117202550312,85.00096846261204,85.00096846271204,85.18948700668106,85.18948700678106,85.37594922602591,85.37594922612591,85.56201344703703,85.56201344713703,85.74595501026836,85.74595501036836,85.92983024044406,85.92983024054406,86.112445142563,86.112445142663,86.29379971662519,86.29379971672519,86.47495529152052,86.47495529162052,86.6545852061366,86.6545852062366,86.83083213491612,86.83083213501612,87.00528807119395,87.00528807129395,87.17649368774643,87.17649368784643,87.34683697457587,87.34683697467587,87.5168485961272,87.5168485962272,87.68659488545607,87.68659488555608,87.85481551450572,87.85481551460572,88.02283714438849,88.02283714448849,88.18561846287737,88.18561846297737,88.34793544997692,88.34793545007692,88.50972177263151,88.50972177273151,88.6683241086164,88.6683241087164,88.82467112071024,88.82467112081024,88.97955880558047,88.97955880568047,89.13391582600575,89.13391582610575,89.28794118115292,89.28794118125292,89.44150220491076,89.44150220501076,89.59459889727928,89.59459889737929,89.74723125825847,89.74723125835847,89.8996646200708,89.8996646201708,90.0506386546595,90.0506386547595,90.19424972007451,90.19424972017451,90.33733012104456,90.33733012114456,90.4800125236809,90.4800125237809,90.62130193214925,90.62130193224925,90.75774902755741,90.75774902765741,90.89306846102005,90.89306846112005,91.02832156142706,91.02832156152706,91.16204900155485,91.16204900165485,91.29212812362358,91.29212812372359,91.42114591680243,91.42114591690243,91.54777571997899,91.54777572007899,91.67420652398869,91.67420652408869,91.92441480978333,91.92441480988333,92.047197295734,92.047197295834,92.16858678751665,92.16858678761665,92.28937928179874,92.28937928189875,92.40897778107968,92.40897778117969,92.52698428702578,92.52698428712579,92.64293446824769,92.64293446834769,92.7560986611336,92.75609866123361,92.8685331904077,92.8685331905077,92.98070238745933,92.98070238755933,93.09154492339859,93.09154492349859,93.2011934643367,93.2011934644367,93.31031134082986,93.31031134092986,93.41883221982243,93.41883221992244,93.5254957732577,93.5254957733577,93.63202666058172,93.63202666068172,93.73815954957202,93.73815954967202,93.84396077328422,93.84396077338423,93.94843533588406,93.94843533598406,94.05145057126028,94.05145057136028,94.15327181163535,94.15327181173535,94.25502671895481,94.25502671905481,94.35638362794055,94.35638362804055,94.44487192413621,94.44487192423621,94.52798724282674,94.52798724292674,94.60692357901328,94.60692357911329,94.68254326241887,94.68254326251888,94.75079997665077,94.75079997675077,94.81414804476685,94.81414804486685,94.86913814787495,94.86913814797495,94.89832469234729,94.89832469244729,94.92572024431792,94.92572024441792,94.94581916017044,94.94581916027045,94.96585174296737,94.96585174306738,94.98575165965305,94.98575165975305,95.00525357800502,95.00525357810503,95.01268288023434,95.01268288033434,95.01997951635242,95.01997951645242],[0.0,1e-10,1.8876906822450323,1.8876906823450323,2.913180929508537,2.913180929608537,3.797638789470864,3.797638789570864,4.6340096201536864,4.6340096202536865,5.445787370147847,5.445787370247847,6.192235456077994,6.192235456177994,6.924738303517086,6.924738303617086,7.648448094173638,7.648448094273638,8.370852665464033,8.370852665564033,9.071686769334764,9.071686769434764,9.761460856471208,9.761460856571208,10.43674013906769,10.43674013916769,11.103501147906085,11.103501148006085,11.768407371329413,11.768407371429413,12.428298804556452,12.428298804656452,13.059818890508582,13.059818890608582,13.69072071465569,13.69072071475569,14.285145092306488,14.285145092406488,14.871532066491996,14.871532066591996,15.443012061600859,15.443012061700859,16.012843358562996,16.012843358662995,16.571202464254164,16.57120246435416,17.129424178433105,17.129424178533103,17.687577196855933,17.68757719695593,18.208565811221316,18.208565811321314,18.721104847584726,18.721104847684725,19.232750839118662,19.23275083921866,19.73793942957792,19.73793942967792,20.240311494036522,20.24031149413652,20.734027893224813,20.73402789332481,21.224172113095197,21.224172113195195,21.713972854185013,21.71397285428501,22.202193592884218,22.202193592984216,22.686017803192154,22.686017803292152,23.169498534719523,23.16949853481952,23.650506219026802,23.6505062191268,24.127598245235607,24.127598245335605,24.599812872760346,24.599812872860344,25.06227270291696,25.06227270301696,25.520610787706758,25.520610787806756,25.97771234888651,25.977712348986508,26.426020853283728,26.426020853383726,26.87295544255867,26.872955442658668,27.316455244027935,27.316455244127933,27.755077646813135,27.755077646913133,28.18511308008414,28.185113080184138,28.609309374085488,28.609309374185486,29.031101316622863,29.03110131672286,29.452068910086872,29.45206891018687,29.870563456330796,29.870563456430794,30.288714523794148,30.288714523894146,30.706178633696368,30.706178633796366,31.118834040670635,31.118834040770633,31.530939881595994,31.530939881695993,31.936863104471133,31.93686310457113,32.340107192857836,32.34010719295784,32.74039736373167,32.74039736383167,33.13897014070265,33.13897014080265,33.53671856860027,33.53671856870027,33.93082612142387,33.93082612152387,34.32445280395468,34.32445280405468,34.71347687082587,34.713476870925874,35.099684411696416,35.09968441179642,35.48506760349359,35.48506760359359,35.869214271680725,35.86921427178073,36.25274267806284,36.25274267816284,36.63208064332202,36.63208064342202,37.00358729238425,37.003587292484255,37.37392611359255,37.373926113692555,37.74007449367793,37.74007449377793,38.104505479860464,38.104505479960466,38.46563906974955,38.46563906984955,38.82539874451636,38.825398744616365,39.18048710786745,39.18048710796745,39.53468242638906,39.53468242648906,39.88819078734954,39.88819078744954,40.23805827323599,40.238058273335994,40.58641445248795,40.58641445258795,40.932366280275936,40.93236628037594,41.27378418816043,41.27378418826043,41.6121107870198,41.6121107871198,41.9495443410497,41.9495443411497,42.28690919932348,42.286909199423484,42.623930578816704,42.623930578916706,42.946663241038294,42.946663241138296,43.26232024038019,43.26232024048019,43.57790854396597,43.57790854406597,43.89157336638057,43.89157336648057,44.2038642736729,44.2038642737729,44.51546822340409,44.515468223504094,44.82535477923245,44.82535477933245,45.13476046476801,45.13476046486801,45.440250492205095,45.4402504923051,45.745259649349386,45.74525964944939,46.048345325322494,46.048345325422495,46.35136230553949,46.35136230563949,46.65382971970757,46.653829719807575,46.95203799699662,46.952037997096625,47.24914714218785,47.24914714228785,47.54447019772012,47.544470197820125,47.838007163593446,47.83800716369345,48.12948325678336,48.12948325688336,48.41992891363157,48.419928913731574,48.70865717657694,48.708657176676944,48.996767177717295,48.9967671778173,49.28281630617424,49.28281630627424,49.565911517118295,49.5659115172183,49.84886933655012,49.848869336650125,50.13045324085969,50.13045324095969,50.408190182826885,50.40819018292689,50.68434712240347,50.684347122503475,50.96029797471172,50.96029797481172,51.23597404399551,51.235974044095514,51.51130663449874,51.51130663459874,51.78512791836746,51.78512791846746,52.05791876589448,52.05791876599448,52.32844265346976,52.32844265356976,52.59889784528892,52.59889784538892,52.86887216681528,52.86887216691528,53.137335181707144,53.137335181807146,53.40552341357456,53.40552341367456,53.668902942514016,53.66890294261402,53.93077116481898,53.93077116491898,54.189960252635515,54.18996025273552,54.44866847015925,54.44866847025925,54.70559059802404,54.70559059812404,54.96017707018096,54.96017707028096,55.2143513678012,55.2143513679012,55.46756392483585,55.46756392493585,55.719539958260455,55.71953995836046,55.97034816383113,55.970348163931135,56.218133756132815,56.21813375623282,56.465026303605015,56.46502630370502,56.711163197759966,56.71116319785997,56.95695661313435,56.956956613234354,57.20062046006922,57.20062046016922,57.44366604519906,57.44366604529906,57.685818585499426,57.68581858559943,57.92687199370197,57.926871993801974,58.167856706148406,58.16785670624841,58.40842924405816,58.408429244158164,58.64879569469957,58.648795694799574,58.88868127504819,58.888681275148194,59.12767381056733,59.12767381066733,59.366116780037565,59.36611678013757,59.602842355604956,59.60284235570496,59.837713145757284,59.837713145857286,60.07237784864127,60.07237784874127,60.30422602552459,60.304226025624594,60.53600550665181,60.53600550675181,60.767372813242346,60.76737281334235,60.998259249540084,60.998259249640085,61.22859611978891,61.22859611988891,61.45776516218381,61.45776516228381,61.67999593321124,61.67999593331124,61.89941017823801,61.89941017833801,62.557515521806096,62.5575155219061,62.775624547466705,62.77562454756671,62.99132922166334,62.991329221763344,63.20655302556719,63.20655302566719,63.420609001617095,63.4206090017171,63.63219193044692,63.632191930546924,63.83930963512936,63.83930963522936,64.04608386103124,64.04608386113124,64.2523085208842,64.2523085209842,64.45784622317602,64.45784622327602,64.66269696790671,64.66269696800671,64.86514336117344,64.86514336127344,65.06676540536678,65.06676540546678,65.26831875380402,65.26831875390403,65.46891036165567,65.46891036175568,65.66860892467786,65.66860892477786,65.86597183199217,65.86597183209217,66.06326604355036,66.06326604365036,66.26007938481577,66.26007938491577,66.45648055154449,66.45648055164449,66.65061475832147,66.65061475842147,66.84426809480564,66.84426809490564,67.03695969070422,67.03695969080422,67.22937650357837,67.22937650367837,67.42151853342804,67.42151853352804,67.6135231717655,67.6135231718655,67.80518433132238,67.80518433142238,67.99670809936704,67.99670809946704,68.18816317165557,68.18816317175558,68.37831302457796,68.37831302467796,68.56736374540253,68.56736374550253,68.7553840298854,68.75538402998541,68.94251126953878,68.94251126963879,69.12950111767995,69.12950111777995,69.31587270401609,69.31587270411609,69.50183211581555,69.50183211591555,69.68682978702941,69.68682978712941,69.87162137097495,69.87162137107495,70.05545121433488,70.05545121443488,70.23893757891425,70.23893757901425,70.42187437744471,70.42187437754471,70.78706101694449,70.7870610170445,70.96910477064547,70.96910477074547,71.150873741322,71.150873741422,71.33236792897408,71.33236792907408,71.51241950574777,71.51241950584777,71.69150934193587,71.69150934203587,71.87039309085563,71.87039309095563,72.04790292465312,72.04790292475312,72.22424493059668,72.22424493069668,72.4003808492719,72.4003808493719,72.57637937643489,72.57637937653489,72.75230920784176,72.75230920794176,72.92713990715082,72.92713990725082,73.27659521850059,73.27659521860059,73.44957113239458,73.44957113249458,73.62186008872744,73.62186008882745,73.79401165354807,73.79401165364807,73.96527017353922,73.96527017363923,74.13529216992033,74.13529217002034,74.30256633605688,74.30256633615689,74.46784832526616,74.46784832536616,74.63264944418263,74.63264944428263,74.79717578007465,74.79717578017465,74.96156472445445,74.96156472455445,75.12561019005368,75.12561019015368,75.2895869598968,75.2895869599968,75.45328894671545,75.45328894681545,75.61582310568018,75.61582310578018,75.7778763943521,75.77787639445211,75.93965489999958,75.93965490009958,76.10136470989096,76.10136470999096,76.26279973675786,76.26279973685786,76.42347911030753,76.42347911040753,76.58347152629605,76.58347152639605,76.74332655077235,76.74332655087235,76.90263200919973,76.90263200929974,77.06180007611489,77.0618000762149,77.22048727273726,77.22048727283726,77.37883099057906,77.37883099067906,77.53696862115252,77.53696862125253,77.69503755596986,77.69503755606986,77.85173257566494,77.85173257576494,78.00794672506721,78.00794672516722,78.16361130842058,78.16361130852059,78.3184515427006,78.3184515428006,78.47287960244392,78.47287960254393,78.62483461496716,78.62483461506716,78.77672093173427,78.77672093183428,78.92846985698918,78.92846985708918,79.08015008648796,79.08015008658796,79.2316242287184,79.2316242288184,79.38296097943662,79.38296097953662,79.53237424898364,79.53237424908365,79.6808944737012,79.6808944738012,79.8285903493454,79.8285903494454,79.97608013772125,79.97608013782126,80.12089079160867,80.12089079170867,80.26357187705658,80.26357187715658,80.40618426674837,80.40618426684837,80.54852187341571,80.54852187351571,80.69003513100968,80.69003513110968,80.82955621167636,80.82955621177636,80.9689399008308,80.9689399009308,81.107567936668,81.107567936768,81.24612727674909,81.2461272768491,81.38461792107407,81.38461792117407,81.52228421632569,81.52228421642569,81.65967572855284,81.65967572865284,81.79665506624332,81.79665506634332,81.93308483788489,81.9330848379849,82.06944591377034,82.06944591387034,82.2053948151191,82.20539481521911,82.33996980134562,82.33996980144562,82.47385783001097,82.47385783011097,82.60760846716411,82.60760846726411,82.74087823402446,82.74087823412447,82.87407930512869,82.87407930522869,83.00707428896457,83.00707428906458,83.1397257940199,83.1397257941199,83.27223990756299,83.27223990766299,83.40413575930106,83.40413575940106,83.53575682801468,83.53575682811469,83.79886157392968,83.79886157402969,83.9294522063016,83.9294522064016,84.05873761930735,84.05873761940735,84.18465694026355,84.18465694036355,84.30961452063414,84.30961452073414,84.43450340524863,84.43450340534864,84.55911750683866,84.55911750693866,84.68215160603808,84.68215160613808,84.80491092221305,84.80491092231306,84.92670849780242,84.92670849790242,85.17009756171284,85.17009756181284,85.29113948398496,85.29113948408497,85.41190662323262,85.41190662333263,85.53253637096807,85.53253637106808,85.6530287271913,85.6530287272913,85.7719410810239,85.7719410811239,85.88947951973422,85.88947951983423,86.0061936093712,86.0061936094712,86.12215204569092,86.12215204579093,86.23728613293729,86.23728613303729,86.35152717535416,86.35152717545417,86.46563082625882,86.46563082635882,86.57897882384621,86.57897882394622,86.69191464689695,86.69191464699695,86.80471307843544,86.80471307853544,86.9173054227056,86.9173054228056,87.0290734179024,87.0290734180024,87.36334696715106,87.36334696725106,87.47394713449393,87.47394713459393,87.58440991032457,87.58440991042457,87.69425442435018,87.69425442445018,87.80403024261967,87.80403024271968,87.91359997362083,87.91359997372084,88.1315029120131,88.1315029121131,88.23901177033085,88.23901177043085,88.34645193289249,88.3464519329925,88.45258687608796,88.45258687618797,88.55776007869785,88.55776007879786,88.66197154072216,88.66197154082217,88.76556474094143,88.76556474104143,88.8690892454046,88.8690892455046,88.9722702710872,88.9722702711872,89.17787666913513,89.17787666923513,89.27858464759764,89.27858464769764,89.37785001518176,89.37785001528177,89.4761536421803,89.4761536422803,89.57404509464214,89.57404509474215,89.67124958954285,89.67124958964285,89.76721756083353,89.76721756093353,89.8627046618314,89.8627046619314,89.95592480287753,89.95592480297753,90.04323710889788,90.04323710899789,90.12814506345427,90.12814506355427,90.2096869259611,90.2096869260611,90.29047313515066,90.29047313525066,90.3696793419496,90.36967934204961,90.43864988108764,90.43864988118764,90.507208245689,90.507208245789,90.56937790497179,90.56937790507179,90.63092930244956,90.63092930254956,90.68856504182885,90.68856504192885,90.74255990613412,90.74255990623412,90.79614259590271,90.79614259600271,90.84622180210951,90.84622180220951,90.89259143748617,90.89259143758618,90.93497671900825,90.93497671910825,90.95558544584233,90.95558544594233,90.9696680758456,90.9696680759456,90.97688113023753,90.97688113033753],[0.0,1e-10,13.19415245052406,13.19415245062406,23.70575716285998,23.70575716295998,34.026297389020584,34.026297389120586,41.40348009053952,41.40348009063952,48.330141084274786,48.33014108437479,52.68986923050234,52.68986923060234,56.208008007183885,56.20800800728389,59.39788517665379,59.39788517675379,62.55188997414249,62.55188997424249,65.60274700039342,65.60274700049342,68.45612955924616,68.45612955934617,70.67927570740612,70.67927570750612,72.82703106723835,72.82703106733835,74.90733460631247,74.90733460641248,76.84491315063515,76.84491315073515,78.4504664290465,78.4504664291465,79.98251074847998,79.98251074857998,81.43169576935358,81.43169576945358,82.5633808946099,82.56338089470991,83.6237329260741,83.6237329261741,84.64750689955089,84.64750689965089,85.43993347733249,85.43993347743249,86.21895202099651,86.21895202109651,86.93193011591481,86.93193011601481,87.55869690374384,87.55869690384384,88.17570170182061,88.17570170192062,88.73772179858193,88.73772179868193,89.1891844210405,89.1891844211405,89.60406898551167,89.60406898561168,89.9496787070421,89.9496787071421,90.27317693371198,90.27317693381198,90.59232343001035,90.59232343011035,90.87330407480742,90.87330407490742,91.08942041420241,91.08942041430241,91.30441941742092,91.30441941752092,91.51042092406054,91.51042092416054,91.68696003994182,91.68696004004182,91.86202897664356,91.86202897674356,92.03615699867036,92.03615699877037,92.20610971182724,92.20610971192724,92.36036091134643,92.36036091144643,92.51384761769225,92.51384761779225,92.63163837355842,92.63163837365842,92.7437248342079,92.7437248343079,92.84399105425373,92.84399105435374,92.94343397395902,92.94343397405902,93.04270047216275,93.04270047226275,93.13879138333864,93.13879138343864,93.22053334572205,93.22053334582205,93.28128114942136,93.28128114952136,93.3366775009071,93.3366775010071,93.39078009471483,93.39078009481483,93.43964885064332,93.43964885074332,93.4759328727948,93.4759328728948,93.50163160485347,93.50163160495347,93.51157001610729,93.51157001620729,93.51545128914131,93.51545128924131],[0.0,1e-10,7.23398954982115,7.23398954992115,14.3039778379167,14.3039778380167,20.112874848699608,20.112874848799606,25.411834040410973,25.41183404051097,30.685420322432016,30.685420322532014,34.08896549457279,34.08896549467279,37.22603744926139,37.22603744936139,40.35399822274301,40.35399822284301,43.34557960663917,43.34557960673917,46.03193642010157,46.031936420201575,48.70687542420333,48.706875424303334,51.05900181819964,51.05900181829964,53.33333717771359,53.33333717781359,55.20112932514404,55.20112932524404,56.98461421355801,56.98461421365801,58.539396920536085,58.53939692063609,60.08374213511882,60.08374213521882,61.586106717304844,61.586106717404846,63.06673132914258,63.06673132924258,64.48772960320805,64.48772960330805,65.80429528761634,65.80429528771634,67.11059647674082,67.11059647684083,68.41338005793096,68.41338005803097,69.65844026957564,69.65844026967564,70.86025120333908,70.86025120343908,72.05946718042965,72.05946718052965,73.20834099806648,73.20834099816648,74.31777147427562,74.31777147437562,75.3884505975032,75.3884505976032,76.35146785165844,76.35146785175844,77.24724689513434,77.24724689523434,78.11822968595834,78.11822968605834,78.93241175849833,78.93241175859833,79.70945711776433,79.70945711786433,80.473873687889,80.473873687989,81.2190875786344,81.2190875787344,81.91828423771418,81.91828423781418,82.56385179222124,82.56385179232124,83.16934168255837,83.16934168265837,83.77171762488805,83.77171762498806,84.35656319324988,84.35656319334988,84.81748516405604,84.81748516415604,85.27448586700098,85.27448586710098,85.71718547539318,85.71718547549318,86.12401701599589,86.12401701609589,86.43696879074443,86.43696879084443,86.7124378579959,86.7124378580959,86.98012205522875,86.98012205532875,87.23823374562389,87.23823374572389,87.45009754153804,87.45009754163804,87.63987537288085,87.63987537298085,87.8129301501096,87.8129301502096,87.98373596488851,87.98373596498851,88.15263881144064,88.15263881154064,88.31023918003983,88.31023918013983,88.46357228655472,88.46357228665472,88.61407977358138,88.61407977368138,88.76262662667742,88.76262662677742,88.91071215414273,88.91071215424273,89.0473798722474,89.0473798723474,89.16686321060726,89.16686321070726,89.28236761540205,89.28236761550205,89.38778052202456,89.38778052212456,89.48512023010923,89.48512023020923,89.57980731581718,89.57980731591718,89.67403307589441,89.67403307599442,89.76739385041401,89.76739385051401,89.85919765092989,89.85919765102989,89.94996346877662,89.94996346887662,90.03767300431974,90.03767300441974,90.11759766984424,90.11759766994425,90.18616219171194,90.18616219181195,90.23644668546184,90.23644668556184,90.25103610853377,90.25103610863377,90.26170426374448,90.26170426384448,90.2674131684248,90.2674131685248,90.27248775036286,90.27248775046286],[0.0,1e-10,11.450393811490065,11.450393811590065,22.377845085532126,22.377845085632124,30.269417794716784,30.269417794816782,37.93763199638128,37.93763199648128,45.137551308578885,45.13755130867889,49.981692426655094,49.981692426755096,54.51347394609199,54.51347394619199,58.17101535207695,58.17101535217695,61.49675873430179,61.496758734401794,64.81247726835113,64.81247726845113,67.66497446414436,67.66497446424437,70.5126426172189,70.5126426173189,72.8235535030426,72.8235535031426,75.0266972709796,75.0266972710796,77.18894699361528,77.18894699371528,79.25229303120234,79.25229303130234,81.26630948051114,81.26630948061114,82.7726651731273,82.7726651732273,83.94899552855095,83.94899552865095,85.0513009379957,85.05130093809571,86.07224614669899,86.07224614679899,86.89593412941223,86.89593412951223,87.70568512807661,87.70568512817661,88.44550669800451,88.44550669810451,89.10354017732979,89.10354017742979,89.74488595207022,89.74488595217022,90.32907786678567,90.32907786688567,90.79835079022088,90.79835079032088,91.2296026431368,91.2296026432368,91.64361664736069,91.64361664746069,91.97535354399777,91.97535354409777,92.26735781067096,92.26735781077096,92.49199998777458,92.49199998787458,92.71548074954079,92.71548074964079,92.89647816080712,92.89647816090712,93.05601995189295,93.05601995199295,93.1784575793048,93.1784575794048,93.28267932405628,93.28267932415628,93.38604528908544,93.38604528918545,93.4859270081024,93.4859270082024,93.5488268176914,93.54882681779141,93.60212966896607,93.60212966906607,93.65176489285943,93.65176489295943,93.67896646260395,93.67896646270395,93.69742685375641,93.69742685385641,93.71148609205133,93.71148609215133,93.7216943215959,93.7216943216959,93.73000761032682,93.73000761042682,93.73630370399802,93.73630370409802,93.74247754342318,93.74247754352318,93.74828462011021,93.74828462021021,93.75231901022963,93.75231901032963]],"coord_y":[[12134,12134,12134,10564,10564,9732,9732,9359,9359,9268,9268,8308,8308,8066,8066,7656,7656,7617,7617,7575,7575,7535,7535,7434,7434,6903,6903,6680,6680,6468,6468,6447,6447,6285,6285,6135,6135,6112,6112,6005,6005,5935,5935,5789,5789,5625,5625,5621,5621,5584,5584,5545,5545,5490,5490,5401,5401,5370,5370,5357,5357,5350,5350,5172,5172,5163,5163,5146,5146,5145,5145,5110,5110,5068,5068,4937,4937,4917,4917,4890,4890,4835,4835,4789,4789,4782,4782,4736,4736,4714,4714,4696,4696,4685,4685,4677,4677,4660,4660,4620,4620,4604,4604,4536,4536,4528,4528,4424,4424,4423,4423,4386,4386,4352,4352,4338,4338,4323,4323,4318,4318,4287,4287,4252,4252,4244,4244,4243,4243,4226,4226,4221,4221,4215,4215,4204,4204,4176,4176,4148,4148,4143,4143,4125,4125,4082,4082,4064,4064,4059,4059,4058,4058,4046,4046,4022,4022,4019,4019,4018,4018,4006,4006,3947,3947,3927,3927,3899,3899,3894,3894,3876,3876,3853,3853,3848,3848,3842,3842,3836,3836,3834,3834,3826,3826,3811,3811,3800,3800,3784,3784,3714,3714,3713,3713,3707,3707,3706,3706,3695,3695,3690,3690,3678,3678,3642,3642,3625,3625,3621,3621,3608,3608,3589,3589,3584,3584,3572,3572,3551,3551,3521,3521,3510,3510,3504,3504,3503,3503,3478,3478,3474,3474,3471,3471,3437,3437,3416,3416,3383,3383,3381,3381,3360,3360,3343,3343,3323,3323,3320,3320,3295,3295,3293,3293,3281,3281,3255,3255,3236,3236,3233,3233,3230,3230,3228,3228,3201,3201,3197,3197,3195,3195,3180,3180,3168,3168,3155,3155,3150,3150,3144,3144,3102,3102,3096,3096,3077,3077,3068,3068,3066,3066,3049,3049,3046,3046,3040,3040,3018,3018,3009,3009,3006,3006,2992,2992,2991,2991,2980,2980,2971,2971,2970,2970,2962,2962,2929,2929,2928,2928,2911,2911,2904,2904,2881,2881,2861,2861,2845,2845,2822,2822,2798,2798,2792,2792,2778,2778,2770,2770,2755,2755,2746,2746,2719,2719,2717,2717,2710,2710,2708,2708,2707,2707,2699,2699,2698,2698,2683,2683,2680,2680,2675,2675,2654,2654,2653,2653,2645,2645,2614,2614,2609,2609,2604,2604,2596,2596,2569,2569,2567,2567,2562,2562,2556,2556,2545,2545,2527,2527,2525,2525,2510,2510,2503,2503,2502,2502,2498,2498,2481,2481,2478,2478,2471,2471,2465,2465,2456,2456,2454,2454,2449,2449,2436,2436,2424,2424,2423,2423,2414,2414,2412,2412,2403,2403,2401,2401,2393,2393,2390,2390,2373,2373,2365,2365,2359,2359,2342,2342,2322,2322,2313,2313,2312,2312,2299,2299,2296,2296,2295,2295,2292,2292,2276,2276,2272,2272,2271,2271,2247,2247,2244,2244,2235,2235,2228,2228,2200,2200,2196,2196,2192,2192,2183,2183,2179,2179,2178,2178,2176,2176,2175,2175,2157,2157,2148,2148,2142,2142,2141,2141,2138,2138,2132,2132,2130,2130,2113,2113,2109,2109,2090,2090,2085,2085,2081,2081,2076,2076,2072,2072,2052,2052,2038,2038,2028,2028,2019,2019,2012,2012,2009,2009,2007,2007,2006,2006,1999,1999,1980,1980,1975,1975,1972,1972,1966,1966,1964,1964,1959,1959,1939,1939,1928,1928,1927,1927,1924,1924,1916,1916,1907,1907,1899,1899,1897,1897,1889,1889,1874,1874,1864,1864,1857,1857,1847,1847,1846,1846,1840,1840,1838,1838,1837,1837,1816,1816,1810,1810,1804,1804,1801,1801,1794,1794,1788,1788,1745,1745,1740,1740,1735,1735,1723,1723,1716,1716,1708,1708,1707,1707,1705,1705,1688,1688,1674,1674,1660,1660,1657,1657,1647,1647,1646,1646,1643,1643,1641,1641,1634,1634,1633,1633,1620,1620,1618,1618,1613,1613,1607,1607,1598,1598,1595,1595,1590,1590,1584,1584,1564,1564,1563,1563,1562,1562,1557,1557,1555,1555,1553,1553,1552,1552,1538,1538,1532,1532,1530,1530,1528,1528,1524,1524,1521,1521,1519,1519,1517,1517,1513,1513,1511,1511,1502,1502,1497,1497,1489,1489,1486,1486,1473,1473,1459,1459,1421,1421,1419,1419,1387,1387,1349,1349,1091,1091,974,974,942,942,880,880,836,836,784,784,639,639,611,611,495,495,483,483,471,471,381,381,242,242,144,144,88,88,0.0],[21384,21384,21384,21183,21183,19973,19973,15587,15587,15242,15242,15234,15234,15227,15227,15165,15165,14102,14102,13798,13798,13565,13565,13498,13498,13015,13015,12957,12957,12351,12351,12346,12346,12011,12011,11828,11828,11760,11760,11439,11439,11274,11274,11018,11018,10760,10760,10755,10755,10565,10565,10247,10247,10155,10155,10146,10146,10139,10139,9941,9941,9899,9899,9654,9654,9517,9517,9374,9374,9333,9333,9290,9290,9257,9257,9250,9250,9153,9153,8988,8988,8827,8827,8740,8740,8637,8637,8574,8574,8527,8527,8259,8259,8250,8250,8248,8248,8057,8057,7925,7925,7759,7759,7754,7754,7703,7703,7593,7593,7553,7553,7552,7552,7548,7548,7473,7473,7437,7437,7257,7257,7227,7227,7181,7181,7165,7165,7008,7008,7004,7004,6961,6961,6938,6938,6790,6790,6673,6673,6666,6666,6608,6608,6532,6532,6525,6525,6519,6519,6510,6510,6503,6503,6500,6500,6489,6489,6486,6486,6227,6227,6196,6196,6090,6090,6083,6083,5993,5993,5988,5988,5986,5986,5974,5974,5973,5973,5944,5944,5936,5936,5932,5932,5919,5919,5891,5891,5841,5841,5782,5782,5755,5755,5698,5698,5638,5638,5626,5626,5613,5613,5583,5583,5548,5548,5504,5504,5471,5471,5448,5448,5421,5421,5393,5393,5379,5379,5314,5314,5311,5311,5293,5293,5278,5278,5275,5275,5268,5268,5207,5207,5187,5187,5168,5168,5166,5166,5139,5139,5101,5101,5053,5053,5043,5043,5033,5033,5013,5013,4941,4941,4859,4859,4857,4857,4796,4796,4780,4780,4767,4767,4764,4764,4742,4742,4711,4711,4627,4627,4625,4625,4605,4605,4544,4544,4519,4519,4511,4511,4510,4510,4505,4505,4500,4500,4491,4491,4471,4471,4468,4468,4447,4447,4414,4414,4403,4403,4400,4400,4342,4342,4332,4332,4267,4267,4171,4171,4156,4156,4111,4111,4083,4083,4075,4075,4048,4048,4000,4000,3967,3967,3954,3954,3796,3796,3790,3790,3707,3707,3699,3699,3680,3680,3675,3675,3643,3643,3641,3641,3637,3637,3635,3635,3625,3625,3582,3582,3548,3548,3544,3544,3526,3526,3519,3519,3516,3516,3492,3492,3439,3439,3365,3365,3353,3353,3343,3343,3336,3336,3323,3323,3171,3171,3149,3149,3148,3148,3135,3135,3100,3100,3097,3097,3090,3090,3089,3089,3080,3080,3078,3078,3068,3068,3060,3060,3006,3006,2968,2968,2926,2926,2895,2895,2850,2850,2841,2841,2834,2834,2822,2822,2779,2779,2765,2765,2749,2749,2727,2727,2694,2694,2672,2672,2653,2653,2644,2644,2587,2587,2574,2574,2564,2564,2551,2551,2530,2530,2529,2529,2522,2522,2518,2518,2513,2513,2508,2508,2505,2505,2498,2498,2495,2495,2459,2459,2458,2458,2456,2456,2453,2453,2446,2446,2404,2404,2394,2394,2377,2377,2348,2348,2333,2333,2322,2322,2310,2310,2307,2307,2294,2294,2283,2283,2280,2280,2275,2275,2270,2270,2259,2259,2228,2228,2214,2214,2196,2196,2195,2195,2194,2194,2178,2178,2163,2163,2122,2122,2112,2112,2111,2111,2099,2099,2092,2092,2041,2041,1965,1965,1950,1950,1938,1938,1914,1914,1907,1907,1892,1892,1878,1878,1858,1858,1828,1828,1827,1827,1809,1809,1802,1802,1788,1788,1786,1786,1785,1785,1772,1772,1740,1740,1739,1739,1728,1728,1723,1723,1719,1719,1715,1715,1704,1704,1701,1701,1692,1692,1682,1682,1680,1680,1672,1672,1656,1656,1641,1641,1639,1639,1638,1638,1623,1623,1621,1621,1619,1619,1605,1605,1592,1592,1588,1588,1587,1587,1572,1572,1530,1530,1526,1526,1521,1521,1520,1520,1513,1513,1488,1488,1383,1383,1239,1239,740,740,642,642,0.0],[31396,31396,31396,29869,29869,20314,20314,17637,17637,16672,16672,16035,16035,15926,15926,13399,13399,12327,12327,12023,12023,11966,11966,11785,11785,11649,11649,11439,11439,11039,11039,11004,11004,10847,10847,10633,10633,10615,10615,10405,10405,10392,10392,10377,10377,10296,10296,10254,10254,9995,9995,9891,9891,9810,9810,9672,9672,9640,9640,9610,9610,9547,9547,9511,9511,9434,9434,9402,9402,9320,9320,9233,9233,9128,9128,9105,9105,8989,8989,8940,8940,8541,8541,8238,8238,8203,8203,8164,8164,8147,8147,8093,8093,8044,8044,8025,8025,7919,7919,7627,7627,7567,7567,7512,7512,7453,7453,7364,7364,7348,7348,7235,7235,7148,7148,7093,7093,7082,7082,6996,6996,6880,6880,6847,6847,6836,6836,6795,6795,6768,6768,6751,6751,6679,6679,6668,6668,6599,6599,6558,6558,6533,6533,6492,6492,6488,6488,6439,6439,6390,6390,6362,6362,6336,6336,6306,6306,6275,6275,6224,6224,6184,6184,6107,6107,6098,6098,6006,6006,5945,5945,5912,5912,5881,5881,5860,5860,5743,5743,5737,5737,5708,5708,5656,5656,5570,5570,5568,5568,5548,5548,5525,5525,5519,5519,5504,5504,5469,5469,5396,5396,5389,5389,5377,5377,5368,5368,5361,5361,5355,5355,5309,5309,5195,5195,5126,5126,5110,5110,5070,5070,5054,5054,5047,5047,5008,5008,4973,4973,4889,4889,4878,4878,4876,4876,4776,4776,4772,4772,4760,4760,4752,4752,4689,4689,4683,4683,4669,4669,4663,4663,4605,4605,4551,4551,4542,4542,4536,4536,4519,4519,4500,4500,4496,4496,4485,4485,4398,4398,4374,4374,4361,4361,4352,4352,4222,4222,4203,4203,4117,4117,4116,4116,4113,4113,4108,4108,4088,4088,4081,4081,4079,4079,4031,4031,3968,3968,3952,3952,3938,3938,3925,3925,3914,3914,3912,3912,3887,3887,3879,3879,3844,3844,3832,3832,3776,3776,3771,3771,3770,3770,3769,3769,3750,3750,3706,3706,3679,3679,3674,3674,3643,3643,3625,3625,3606,3606,3601,3601,3574,3574,3572,3572,3564,3564,3549,3549,3522,3522,3508,3508,3505,3505,3486,3486,3464,3464,3460,3460,3456,3456,3455,3455,3437,3437,3418,3418,3372,3372,3337,3337,3300,3300,3275,3275,3259,3259,3202,3202,3192,3192,3126,3126,3124,3124,3113,3113,3096,3096,3065,3065,3050,3050,3036,3036,3031,3031,3020,3020,3011,3011,2989,2989,2987,2987,2976,2976,2971,2971,2958,2958,2922,2922,2911,2911,2908,2908,2906,2906,2897,2897,2895,2895,2850,2850,2809,2809,2801,2801,2797,2797,2773,2773,2759,2759,2754,2754,2734,2734,2733,2733,2731,2731,2723,2723,2719,2719,2718,2718,2715,2715,2692,2692,2675,2675,2665,2665,2662,2662,2648,2648,2592,2592,2565,2565,2553,2553,2539,2539,2529,2529,2511,2511,2486,2486,2478,2478,2461,2461,2450,2450,2446,2446,2439,2439,2430,2430,2392,2392,2371,2371,2369,2369,2367,2367,2360,2360,2359,2359,2355,2355,2347,2347,2327,2327,2320,2320,2319,2319,2314,2314,2238,2238,2236,2236,2217,2217,2203,2203,2193,2193,2163,2163,2151,2151,2124,2124,2112,2112,2110,2110,2105,2105,2082,2082,2050,2050,2048,2048,2041,2041,2026,2026,2017,2017,2015,2015,2009,2009,2005,2005,1996,1996,1990,1990,1988,1988,1984,1984,1969,1969,1962,1962,1941,1941,1940,1940,1926,1926,1920,1920,1915,1915,1904,1904,1897,1897,1891,1891,1888,1888,1882,1882,1876,1876,1869,1869,1866,1866,1860,1860,1845,1845,1830,1830,1825,1825,1824,1824,1817,1817,1808,1808,1805,1805,1785,1785,1772,1772,1768,1768,1755,1755,1738,1738,1737,1737,1732,1732,1730,1730,1725,1725,1706,1706,1692,1692,1678,1678,1672,1672,1671,1671,1608,1608,1603,1603,1601,1601,1582,1582,1563,1563,1557,1557,1549,1549,1547,1547,1537,1537,1512,1512,1507,1507,1451,1451,1332,1332,455,455,0.0],[10105,10105,10105,6612,6612,6395,6395,6164,6164,5417,5417,5290,5290,5145,5145,4977,4977,4972,4972,4947,4947,4827,4827,4782,4782,4659,4659,4622,4622,4547,4547,4539,4539,4461,4461,4288,4288,4277,4277,4181,4181,4179,4179,4175,4175,4134,4134,4133,4133,4089,4089,4056,4056,4044,4044,4022,4022,4009,4009,4003,4003,4001,4001,3991,3991,3983,3983,3976,3976,3965,3965,3937,3937,3928,3928,3907,3907,3904,3904,3864,3864,3823,3823,3805,3805,3790,3790,3789,3789,3784,3784,3711,3711,3699,3699,3680,3680,3677,3677,3671,3671,3648,3648,3615,3615,3608,3608,3573,3573,3570,3570,3517,3517,3476,3476,3457,3457,3421,3421,3400,3400,3383,3383,3357,3357,3348,3348,3346,3346,3345,3345,3344,3344,3306,3306,3291,3291,3232,3232,3206,3206,3198,3198,3197,3197,3192,3192,3175,3175,3165,3165,3164,3164,3116,3116,3115,3115,3106,3106,3103,3103,3101,3101,3094,3094,3092,3092,3088,3088,3059,3059,3055,3055,3053,3053,3041,3041,3040,3040,3007,3007,2996,2996,2987,2987,2985,2985,2984,2984,2981,2981,2977,2977,2966,2966,2961,2961,2945,2945,2935,2935,2929,2929,2914,2914,2904,2904,2872,2872,2860,2860,2845,2845,2812,2812,2807,2807,2802,2802,2795,2795,2793,2793,2790,2790,2788,2788,2783,2783,2782,2782,2755,2755,2754,2754,2719,2719,2698,2698,2695,2695,2694,2694,2692,2692,2672,2672,2657,2657,2655,2655,2653,2653,2647,2647,2645,2645,2617,2617,2612,2612,2606,2606,2595,2595,2592,2592,2575,2575,2570,2570,2563,2563,2555,2555,2553,2553,2514,2514,2511,2511,2508,2508,2503,2503,2478,2478,2470,2470,2468,2468,2455,2455,2452,2452,2448,2448,2444,2444,2426,2426,2422,2422,2403,2403,2402,2402,2400,2400,2395,2395,2380,2380,2378,2378,2365,2365,2341,2341,2337,2337,2335,2335,2332,2332,2311,2311,2307,2307,2306,2306,2304,2304,2295,2295,2292,2292,2288,2288,2286,2286,2279,2279,2267,2267,2261,2261,2224,2224,2212,2212,2211,2211,2210,2210,2206,2206,2197,2197,2192,2192,2191,2191,2185,2185,2171,2171,2164,2164,2157,2157,2147,2147,2144,2144,2137,2137,2134,2134,2122,2122,2110,2110,2109,2109,2100,2100,2099,2099,2087,2087,2085,2085,2079,2079,2077,2077,2076,2076,2071,2071,2066,2066,2056,2056,2054,2054,2051,2051,2050,2050,2048,2048,2046,2046,2042,2042,2037,2037,2036,2036,2031,2031,2026,2026,2015,2015,2013,2013,2011,2011,2005,2005,2001,2001,2000,2000,1997,1997,1990,1990,1985,1985,1977,1977,1976,1976,1962,1962,1961,1961,1956,1956,1955,1955,1947,1947,1946,1946,1945,1945,1941,1941,1937,1937,1934,1934,1932,1932,1910,1910,1906,1906,1905,1905,1902,1902,1898,1898,1897,1897,1895,1895,1890,1890,1883,1883,1879,1879,1872,1872,1871,1871,1867,1867,1861,1861,1855,1855,1852,1852,1848,1848,1847,1847,1843,1843,1838,1838,1831,1831,1830,1830,1828,1828,1825,1825,1821,1821,1817,1817,1815,1815,1811,1811,1797,1797,1796,1796,1794,1794,1793,1793,1791,1791,1790,1790,1789,1789,1786,1786,1785,1785,1784,1784,1783,1783,1781,1781,1775,1775,1773,1773,1772,1772,1769,1769,1767,1767,1757,1757,1755,1755,1752,1752,1748,1748,1729,1729,1727,1727,1719,1719,1717,1717,1710,1710,1705,1705,1702,1702,1701,1701,1696,1696,1692,1692,1691,1691,1689,1689,1688,1688,1685,1685,1683,1683,1675,1675,1669,1669,1666,1666,1659,1659,1656,1656,1653,1653,1650,1650,1649,1649,1647,1647,1641,1641,1640,1640,1628,1628,1626,1626,1608,1608,1602,1602,1598,1598,1596,1596,1588,1588,1585,1585,1583,1583,1578,1578,1574,1574,1572,1572,1571,1571,1568,1568,1566,1566,1565,1565,1564,1564,1560,1560,1556,1556,1553,1553,1542,1542,1539,1539,1531,1531,1516,1516,1514,1514,1499,1499,788,788,167,167,74,74,0.0],[58663,58663,58663,40204,40204,29806,29806,26344,26344,26218,26218,25187,25187,22075,22075,21857,21857,21773,21773,20786,20786,20758,20758,20219,20219,20182,20182,20024,20024,19840,19840,19223,19223,18444,18444,18234,18234,17216,17216,16565,16565,16426,16426,15594,15594,15057,15057,14469,14469,14285,14285,14272,14272,14193,14193,14176,14176,14174,14174,13863,13863,13505,13505,13224,13224,12707,12707,12544,12544,12305,12305,12290,12290,12207,12207,12192,12192,12118,12118,12074,12074,12046,12046,11900,11900,11866,11866,11632,11632,11467,11467,11297,11297,11144,11144,11125,11125,11066,11066,10898,10898,10888,10888,10842,10842,10772,10772,10684,10684,10664,10664,10394,10394,10014,10014,9180,9180,9168,9168,9089,9089,8958,8958,8927,8927,8866,8866,8853,8853,8851,8851,8734,8734,8506,8506,8451,8451,8438,8438,8424,8424,8385,8385,8322,8322,8297,8297,8171,8171,8144,8144,8142,8142,8138,8138,8129,8129,8087,8087,8071,8071,8042,8042,7882,7882,7872,7872,7828,7828,7762,7762,7728,7728,7616,7616,7579,7579,7396,7396,7380,7380,7331,7331,7274,7274,7149,7149,7058,7058,6908,6908,6792,6792,6704,6704,6613,6613,6515,6515,6491,6491,6420,6420,6141,6141,6128,6128,6126,6126,6123,6123,5942,5942,5889,5889,5868,5868,5801,5801,5659,5659,5625,5625,5585,5585,5557,5557,5462,5462,5438,5438,5380,5380,5348,5348,5310,5310,5254,5254,5126,5126,5083,5083,5058,5058,4947,4947,4919,4919,4871,4871,4794,4794,4746,4746,4744,4744,4690,4690,4512,4512,4500,4500,4438,4438,4436,4436,4398,4398,4387,4387,4296,4296,4288,4288,4272,4272,4245,4245,4234,4234,4189,4189,4101,4101,4029,4029,3980,3980,3905,3905,3874,3874,3764,3764,3706,3706,3578,3578,3567,3567,3494,3494,3450,3450,3416,3416,3354,3354,3351,3351,3327,3327,3296,3296,3285,3285,3282,3282,3254,3254,3250,3250,3213,3213,3207,3207,3206,3206,3177,3177,3124,3124,3095,3095,2994,2994,2941,2941,2920,2920,2897,2897,2877,2877,2813,2813,2691,2691,2584,2584,2497,2497,2481,2481,2467,2467,2466,2466,2455,2455,2450,2450,2440,2440,2432,2432,2397,2397,2286,2286,2277,2277,2255,2255,2224,2224,2215,2215,2214,2214,2212,2212,2189,2189,2165,2165,2115,2115,2082,2082,2053,2053,2020,2020,1974,1974,1824,1824,1819,1819,1818,1818,1791,1791,1776,1776,1747,1747,1732,1732,1719,1719,1711,1711,1710,1710,1681,1681,1653,1653,1625,1625,1620,1620,1608,1608,1607,1607,1564,1564,1543,1543,1541,1541,1498,1498,477,477,0.0],[15727,15727,15727,11463,11463,9987,9987,9532,9532,8909,8909,8901,8901,8823,8823,8490,8490,8459,8459,8232,8232,8187,8187,7671,7671,7620,7620,7582,7582,7480,7480,7470,7470,7367,7367,6915,6915,6842,6842,6782,6782,6763,6763,6689,6689,6675,6675,6664,6664,6481,6481,6453,6453,6315,6315,6079,6079,5794,5794,5753,5753,5673,5673,5524,5524,5508,5508,5456,5456,5421,5421,5417,5417,5393,5393,5311,5311,5263,5263,5156,5156,5103,5103,5077,5077,5006,5006,4944,4944,4942,4942,4930,4930,4924,4924,4888,4888,4883,4883,4866,4866,4763,4763,4753,4753,4751,4751,4729,4729,4712,4712,4708,4708,4707,4707,4646,4646,4593,4593,4568,4568,4534,4534,4528,4528,4507,4507,4441,4441,4357,4357,4310,4310,4298,4298,4283,4283,4274,4274,4250,4250,4247,4247,4241,4241,4233,4233,4205,4205,4202,4202,4189,4189,4184,4184,4177,4177,4165,4165,4136,4136,4079,4079,4038,4038,4018,4018,4016,4016,4010,4010,3971,3971,3964,3964,3960,3960,3938,3938,3920,3920,3846,3846,3845,3845,3835,3835,3831,3831,3799,3799,3795,3795,3771,3771,3756,3756,3750,3750,3744,3744,3730,3730,3711,3711,3662,3662,3646,3646,3635,3635,3618,3618,3616,3616,3608,3608,3598,3598,3596,3596,3581,3581,3556,3556,3540,3540,3507,3507,3484,3484,3456,3456,3452,3452,3434,3434,3412,3412,3398,3398,3389,3389,3375,3375,3351,3351,3339,3339,3335,3335,3315,3315,3284,3284,3275,3275,3274,3274,3265,3265,3258,3258,3248,3248,3245,3245,3224,3224,3219,3219,3217,3217,3211,3211,3199,3199,3183,3183,3182,3182,3174,3174,3148,3148,3138,3138,3129,3129,3122,3122,3105,3105,3097,3097,3081,3081,3080,3080,3071,3071,3044,3044,3041,3041,3025,3025,3008,3008,3007,3007,2991,2991,2967,2967,2966,2966,2963,2963,2941,2941,2938,2938,2912,2912,2899,2899,2889,2889,2882,2882,2876,2876,2872,2872,2864,2864,2852,2852,2818,2818,2815,2815,2804,2804,2802,2802,2797,2797,2793,2793,2789,2789,2784,2784,2783,2783,2758,2758,2749,2749,2722,2722,2704,2704,2702,2702,2695,2695,2691,2691,2683,2683,2677,2677,2674,2674,2666,2666,2654,2654,2646,2646,2638,2638,2605,2605,2604,2604,2597,2597,2594,2594,2582,2582,2581,2581,2570,2570,2553,2553,2549,2549,2547,2547,2538,2538,2534,2534,2512,2512,2508,2508,2505,2505,2501,2501,2489,2489,2483,2483,2474,2474,2470,2470,2468,2468,2463,2463,2460,2460,2458,2458,2457,2457,2456,2456,2447,2447,2445,2445,2440,2440,2412,2412,2395,2395,2374,2374,2370,2370,2363,2363,2362,2362,2350,2350,2341,2341,2335,2335,2315,2315,2309,2309,2306,2306,2304,2304,2297,2297,2290,2290,2279,2279,2273,2273,2267,2267,2265,2265,2251,2251,2239,2239,2232,2232,2229,2229,2220,2220,2201,2201,2191,2191,2189,2189,2164,2164,2160,2160,2158,2158,2155,2155,2153,2153,2144,2144,2135,2135,2132,2132,2129,2129,2116,2116,2114,2114,2109,2109,2105,2105,2103,2103,2102,2102,2090,2090,2089,2089,2088,2088,2087,2087,2085,2085,2084,2084,2077,2077,2076,2076,2069,2069,2066,2066,2058,2058,2052,2052,2051,2051,2049,2049,2040,2040,2038,2038,2035,2035,2026,2026,2009,2009,1988,1988,1972,1972,1963,1963,1961,1961,1951,1951,1942,1942,1941,1941,1937,1937,1920,1920,1916,1916,1909,1909,1900,1900,1887,1887,1873,1873,1872,1872,1870,1870,1860,1860,1859,1859,1852,1852,1845,1845,1837,1837,1835,1835,1824,1824,1822,1822,1818,1818,1807,1807,1802,1802,1795,1795,1793,1793,1790,1790,1786,1786,1782,1782,1780,1780,1777,1777,1774,1774,1770,1770,1756,1756,1752,1752,1751,1751,1746,1746,1745,1745,1722,1722,1716,1716,1711,1711,1702,1702,1700,1700,1692,1692,1686,1686,1682,1682,1668,1668,1666,1666,1663,1663,1660,1660,1656,1656,1655,1655,1654,1654,1646,1646,1643,1643,1640,1640,1630,1630,1628,1628,1618,1618,1614,1614,1613,1613,1610,1610,1605,1605,1601,1601,1598,1598,1596,1596,1594,1594,1589,1589,1587,1587,1581,1581,1577,1577,1575,1575,1573,1573,1567,1567,1557,1557,1554,1554,1550,1550,1549,1549,1544,1544,1540,1540,1537,1537,1534,1534,1531,1531,1524,1524,1519,1519,1511,1511,1509,1509,1475,1475,1472,1472,0.0],[65493,65493,65493,60052,60052,58701,58701,57086,57086,55943,55943,52512,52512,52156,52156,51981,51981,49888,49888,49558,49558,46429,46429,40777,40777,40548,40548,39143,39143,37388,37388,36925,36925,36002,36002,33484,33484,32063,32063,30909,30909,28069,28069,27429,27429,27106,27106,26055,26055,25972,25972,24641,24641,23778,23778,23501,23501,23034,23034,22399,22399,21827,21827,21700,21700,21278,21278,20788,20788,20586,20586,20149,20149,19647,19647,19096,19096,18419,18419,16780,16780,13667,13667,13586,13586,13348,13348,13131,13131,12932,12932,12366,12366,11064,11064,10896,10896,10070,10070,9914,9914,9503,9503,9459,9459,9150,9150,8860,8860,8496,8496,7877,7877,7208,7208,6596,6596,6594,6594,6475,6475,6270,6270,5931,5931,5707,5707,5653,5653,5338,5338,5275,5275,5096,5096,5036,5036,4709,4709,4593,4593,4142,4142,3657,3657,3651,3651,3617,3617,3390,3390,3293,3293,3239,3239,3107,3107,3070,3070,2708,2708,2636,2636,2211,2211,2090,2090,2005,2005,1973,1973,1810,1810,1803,1803,1564,1564,0.0],[163882,163882,163882,147612,147612,135427,135427,107261,107261,105640,105640,91813,91813,91117,91117,83972,83972,79632,79632,62971,62971,60967,60967,60158,60158,57926,57926,46088,46088,24734,24734,24643,24643,24154,24154,24131,24131,22405,22405,21441,21441,16014,16014,14629,14629,13602,13602,10753,10753,7082,7082,5625,5625,3617,3617,2658,2658,2024,2024,0.0],[142061,142061,142061,135599,135599,116347,116347,115235,115235,107615,107615,106037,106037,89762,89762,86370,86370,83457,83457,72220,72220,60331,60331,55829,55829,55375,55375,53506,53506,49129,49129,46344,46344,36359,36359,26917,26917,26669,26669,24813,24813,23874,23874,22507,22507,22009,22009,21613,21613,20680,20680,20428,20428,18430,18430,14800,14800,13774,13774,11693,11693,11137,11137,7715,7715,6117,6117,5661,5661,4130,4130,2228,2228,2174,2174,2037,2037,0.0],[163883,163883,163883,146585,146585,135429,135429,127343,127343,105640,105640,100360,100360,97870,97870,89522,89522,75583,75583,74452,74452,60967,60967,58430,58430,54457,54457,49328,49328,36222,36222,33825,33825,33531,33531,29921,29921,26799,26799,24737,24737,24677,24677,24641,24641,22304,22304,21736,21736,20985,20985,14629,14629,13602,13602,12237,12237,10702,10702,9511,9511,9403,9403,6584,6584,5625,5625,1723,1723,0.0],[12742,12742,12742,11030,11030,9232,9232,8426,8426,8293,8293,8270,8270,8115,8115,8068,8068,7924,7924,7773,7773,7616,7616,7603,7603,7600,7600,7396,7396,7377,7377,7283,7283,7165,7165,7159,7159,6781,6781,6741,6741,6706,6706,6605,6605,6581,6581,6566,6566,6475,6475,6427,6427,6394,6394,6347,6347,6273,6273,6260,6260,6129,6129,6081,6081,6040,6040,6002,6002,5923,5923,5717,5717,5678,5678,5661,5661,5647,5647,5583,5583,5581,5581,5494,5494,5453,5453,5348,5348,5341,5341,5262,5262,5254,5254,5236,5236,5171,5171,5162,5162,5136,5136,5075,5075,4990,4990,4951,4951,4839,4839,4835,4835,4765,4765,4754,4754,4668,4668,4655,4655,4641,4641,4623,4623,4595,4595,4520,4520,4441,4441,4416,4416,4319,4319,4318,4318,4317,4317,4275,4275,4264,4264,4213,4213,4205,4205,4188,4188,4121,4121,4101,4101,4010,4010,3970,3970,3926,3926,3919,3919,3888,3888,3874,3874,3873,3873,3860,3860,3845,3845,3838,3838,3816,3816,3799,3799,3795,3795,3764,3764,3758,3758,3753,3753,3730,3730,3726,3726,3703,3703,3672,3672,3669,3669,3661,3661,3644,3644,3637,3637,3617,3617,3598,3598,3574,3574,3530,3530,3528,3528,3526,3526,3496,3496,3460,3460,3432,3432,3425,3425,3410,3410,3381,3381,3376,3376,3351,3351,3346,3346,3344,3344,3333,3333,3291,3291,3288,3288,3243,3243,3232,3232,3219,3219,3218,3218,3201,3201,3164,3164,3156,3156,3137,3137,3081,3081,3048,3048,3026,3026,3013,3013,3011,3011,2998,2998,2964,2964,2950,2950,2918,2918,2906,2906,2902,2902,2895,2895,2893,2893,2886,2886,2870,2870,2866,2866,2857,2857,2853,2853,2852,2852,2822,2822,2821,2821,2820,2820,2769,2769,2768,2768,2765,2765,2758,2758,2755,2755,2705,2705,2691,2691,2662,2662,2658,2658,2652,2652,2648,2648,2647,2647,2630,2630,2620,2620,2615,2615,2610,2610,2608,2608,2606,2606,2597,2597,2570,2570,2565,2565,2561,2561,2556,2556,2552,2552,2549,2549,2544,2544,2531,2531,2521,2521,2518,2518,2516,2516,2507,2507,2501,2501,2492,2492,2478,2478,2458,2458,2456,2456,2446,2446,2433,2433,2424,2424,2420,2420,2411,2411,2408,2408,2402,2402,2378,2378,2373,2373,2371,2371,2368,2368,2364,2364,2363,2363,2362,2362,2346,2346,2327,2327,2304,2304,2297,2297,2295,2295,2294,2294,2285,2285,2284,2284,2269,2269,2260,2260,2253,2253,2252,2252,2235,2235,2231,2231,2223,2223,2220,2220,2215,2215,2213,2213,2212,2212,2211,2211,2206,2206,2204,2204,2199,2199,2194,2194,2187,2187,2173,2173,2170,2170,2164,2164,2161,2161,2139,2139,2138,2138,2132,2132,2125,2125,2104,2104,2091,2091,2081,2081,2077,2077,2075,2075,2074,2074,2062,2062,2058,2058,2053,2053,2046,2046,2042,2042,2028,2028,2010,2010,2003,2003,2000,2000,1992,1992,1982,1982,1981,1981,1974,1974,1972,1972,1953,1953,1943,1943,1939,1939,1934,1934,1930,1930,1927,1927,1913,1913,1912,1912,1906,1906,1905,1905,1890,1890,1888,1888,1884,1884,1874,1874,1871,1871,1855,1855,1852,1852,1849,1849,1837,1837,1821,1821,1819,1819,1816,1816,1815,1815,1802,1802,1801,1801,1798,1798,1795,1795,1790,1790,1782,1782,1774,1774,1770,1770,1769,1769,1764,1764,1762,1762,1761,1761,1756,1756,1754,1754,1753,1753,1736,1736,1733,1733,1724,1724,1722,1722,1721,1721,1720,1720,1716,1716,1715,1715,1711,1711,1701,1701,1693,1693,1690,1690,1679,1679,1670,1670,1669,1669,1654,1654,1640,1640,1638,1638,1635,1635,1627,1627,1626,1626,1624,1624,1623,1623,1621,1621,1620,1620,1615,1615,1611,1611,1607,1607,1603,1603,1602,1602,1599,1599,1583,1583,1576,1576,1570,1570,1568,1568,1565,1565,1564,1564,1558,1558,1548,1548,1536,1536,1532,1532,1530,1530,1528,1528,1522,1522,1517,1517,1515,1515,1504,1504,1497,1497,1487,1487,1474,1474,1460,1460,1442,1442,1365,1365,1291,1291,703,703,0.0],[17234,17234,17234,15315,15315,12787,12787,12450,12450,12117,12117,12036,12036,11946,11946,11627,11627,11566,11566,11412,11412,10946,10946,10875,10875,10484,10484,9783,9783,9695,9695,9574,9574,9543,9543,9459,9459,9132,9132,8851,8851,8668,8668,8623,8623,8471,8471,8423,8423,8119,8119,8073,8073,7962,7962,7951,7951,7848,7848,7775,7775,7691,7691,7303,7303,7168,7168,7165,7165,7117,7117,7095,7095,7076,7076,7012,7012,6969,6969,6892,6892,6736,6736,6709,6709,6491,6491,6221,6221,6205,6205,6144,6144,6143,6143,6025,6025,6020,6020,5998,5998,5988,5988,5918,5918,5893,5893,5803,5803,5743,5743,5681,5681,5678,5678,5669,5669,5649,5649,5559,5559,5400,5400,5388,5388,5338,5338,5289,5289,5262,5262,5194,5194,5181,5181,5176,5176,5094,5094,5060,5060,5010,5010,5002,5002,4986,4986,4970,4970,4901,4901,4825,4825,4781,4781,4745,4745,4693,4693,4690,4690,4648,4648,4611,4611,4590,4590,4588,4588,4569,4569,4524,4524,4512,4512,4506,4506,4459,4459,4451,4451,4429,4429,4405,4405,4327,4327,4303,4303,4300,4300,4286,4286,4265,4265,4264,4264,4241,4241,4220,4220,4205,4205,4188,4188,4174,4174,4151,4151,4148,4148,4132,4132,4123,4123,4061,4061,4043,4043,4028,4028,4024,4024,4011,4011,3999,3999,3981,3981,3955,3955,3949,3949,3916,3916,3910,3910,3895,3895,3893,3893,3882,3882,3829,3829,3825,3825,3777,3777,3771,3771,3770,3770,3743,3743,3730,3730,3724,3724,3723,3723,3690,3690,3687,3687,3677,3677,3674,3674,3663,3663,3647,3647,3631,3631,3620,3620,3607,3607,3600,3600,3597,3597,3573,3573,3513,3513,3481,3481,3427,3427,3418,3418,3415,3415,3410,3410,3375,3375,3347,3347,3341,3341,3336,3336,3334,3334,3310,3310,3265,3265,3255,3255,3244,3244,3212,3212,3155,3155,3146,3146,3133,3133,3128,3128,3113,3113,3106,3106,3098,3098,3094,3094,3082,3082,3081,3081,3073,3073,3066,3066,3065,3065,3060,3060,3055,3055,3036,3036,3030,3030,3014,3014,2992,2992,2963,2963,2955,2955,2915,2915,2906,2906,2903,2903,2883,2883,2864,2864,2838,2838,2828,2828,2822,2822,2817,2817,2816,2816,2815,2815,2800,2800,2798,2798,2793,2793,2781,2781,2772,2772,2767,2767,2747,2747,2738,2738,2735,2735,2703,2703,2694,2694,2680,2680,2659,2659,2658,2658,2643,2643,2629,2629,2608,2608,2606,2606,2601,2601,2586,2586,2585,2585,2582,2582,2580,2580,2577,2577,2564,2564,2524,2524,2493,2493,2491,2491,2467,2467,2439,2439,2434,2434,2422,2422,2413,2413,2405,2405,2397,2397,2391,2391,2367,2367,2357,2357,2348,2348,2345,2345,2331,2331,2328,2328,2310,2310,2300,2300,2294,2294,2291,2291,2275,2275,2272,2272,2262,2262,2255,2255,2249,2249,2219,2219,2179,2179,2155,2155,2139,2139,2121,2121,2113,2113,2099,2099,2086,2086,2078,2078,2075,2075,2073,2073,2049,2049,2034,2034,2031,2031,2011,2011,2005,2005,2002,2002,1992,1992,1990,1990,1988,1988,1973,1973,1965,1965,1945,1945,1920,1920,1917,1917,1889,1889,1860,1860,1847,1847,1841,1841,1840,1840,1834,1834,1823,1823,1821,1821,1809,1809,1806,1806,1803,1803,1802,1802,1799,1799,1791,1791,1785,1785,1780,1780,1770,1770,1769,1769,1760,1760,1753,1753,1732,1732,1725,1725,1715,1715,1692,1692,1674,1674,1671,1671,1657,1657,1649,1649,1642,1642,1631,1631,1622,1622,1615,1615,1612,1612,1584,1584,1575,1575,1554,1554,1551,1551,1546,1546,1544,1544,1538,1538,1534,1534,1531,1531,1528,1528,1519,1519,1509,1509,1497,1497,1496,1496,1495,1495,1471,1471,1469,1469,1316,1316,1253,1253,1229,1229,1188,1188,1120,1120,1113,1113,1111,1111,928,928,921,921,734,734,652,652,645,645,620,620,606,606,525,525,436,436,423,423,420,420,301,301,300,300,296,296,0.0],[13680,13680,13680,11809,11809,11484,11484,10087,10087,9574,9574,9507,9507,9468,9468,8610,8610,8374,8374,8312,8312,8094,8094,8093,8093,7884,7884,7866,7866,7843,7843,7528,7528,7450,7450,7121,7121,7005,7005,6957,6957,6743,6743,6699,6699,6454,6454,6323,6323,6288,6288,6111,6111,6044,6044,5862,5862,5860,5860,5575,5575,5564,5564,5465,5465,5460,5460,5436,5436,5384,5384,5293,5293,5280,5280,5138,5138,5105,5105,5089,5089,5016,5016,4982,4982,4950,4950,4943,4943,4880,4880,4777,4777,4774,4774,4762,4762,4761,4761,4744,4744,4735,4735,4698,4698,4692,4692,4649,4649,4647,4647,4641,4641,4632,4632,4607,4607,4584,4584,4561,4561,4548,4548,4479,4479,4474,4474,4467,4467,4439,4439,4400,4400,4398,4398,4397,4397,4335,4335,4283,4283,4275,4275,4212,4212,4153,4153,4120,4120,4111,4111,4109,4109,4093,4093,4087,4087,3987,3987,3905,3905,3894,3894,3824,3824,3811,3811,3745,3745,3720,3720,3714,3714,3697,3697,3666,3666,3661,3661,3646,3646,3643,3643,3626,3626,3590,3590,3589,3589,3577,3577,3555,3555,3545,3545,3515,3515,3512,3512,3350,3350,3326,3326,3259,3259,3251,3251,3244,3244,3237,3237,3199,3199,3186,3186,3144,3144,3135,3135,3105,3105,3095,3095,3091,3091,3068,3068,3055,3055,3052,3052,3048,3048,3039,3039,3030,3030,3008,3008,3005,3005,2985,2985,2982,2982,2973,2973,2954,2954,2942,2942,2938,2938,2868,2868,2848,2848,2832,2832,2826,2826,2824,2824,2805,2805,2791,2791,2768,2768,2763,2763,2754,2754,2694,2694,2659,2659,2650,2650,2641,2641,2611,2611,2603,2603,2599,2599,2491,2491,2475,2475,2471,2471,2437,2437,2422,2422,2379,2379,2371,2371,2327,2327,2319,2319,2313,2313,2311,2311,2285,2285,2250,2250,2243,2243,2241,2241,2240,2240,2235,2235,2226,2226,2217,2217,2190,2190,2163,2163,2150,2150,2147,2147,2114,2114,2098,2098,2092,2092,2089,2089,2035,2035,2015,2015,2009,2009,2002,2002,1994,1994,1952,1952,1926,1926,1910,1910,1904,1904,1901,1901,1886,1886,1880,1880,1876,1876,1853,1853,1828,1828,1826,1826,1771,1771,1767,1767,1763,1763,1756,1756,1748,1748,1736,1736,1734,1734,1728,1728,1715,1715,1706,1706,1702,1702,1700,1700,1680,1680,1662,1662,1659,1659,1657,1657,1650,1650,1648,1648,1641,1641,1636,1636,1631,1631,1615,1615,1612,1612,1610,1610,1604,1604,1602,1602,1589,1589,1584,1584,1574,1574,1536,1536,1535,1535,1527,1527,1526,1526,1514,1514,1511,1511,1482,1482,1478,1478,1477,1477,1474,1474,1473,1473,1456,1456,1274,1274,1124,1124,929,929,923,923,813,813,668,668,438,438,423,423,419,419,372,372,356,356,187,187,174,174,129,129,91,91,0.0],[89883,89883,89883,82745,82745,65001,65001,63145,63145,51027,51027,48462,48462,46369,46369,45213,45213,44516,44516,40438,40438,37682,37682,36627,36627,36430,36430,34306,34306,31928,31928,31723,31723,30949,30949,28285,28285,24643,24643,23631,23631,22149,22149,21841,21841,21602,21602,20862,20862,20781,20781,20720,20720,19270,19270,18624,18624,17097,17097,16127,16127,14642,14642,14544,14544,14496,14496,13507,13507,13400,13400,12561,12561,11678,11678,11164,11164,11003,11003,10730,10730,10611,10611,9972,9972,8667,8667,8517,8517,8506,8506,8208,8208,7750,7750,7040,7040,6167,6167,5795,5795,5642,5642,5430,5430,5376,5376,4725,4725,3345,3345,3340,3340,2707,2707,2697,2697,2509,2509,2359,2359,2355,2355,2353,2353,2059,2059,1947,1947,1895,1895,1715,1715,1680,1680,1664,1664,1645,1645,1560,1560,1472,1472,924,924,832,832,436,436,405,405,400,400,199,199,0.0],[99232,99232,99232,59154,59154,54708,54708,51030,51030,49665,49665,48546,48546,46889,46889,46490,46490,44059,44059,41270,41270,39963,39963,38170,38170,32266,32266,30949,30949,28960,28960,28804,28804,28638,28638,27870,27870,26102,26102,25326,25326,24643,24643,22149,22149,20360,20360,20338,20338,19485,19485,18719,18719,17902,17902,17327,17327,17107,17107,15801,15801,14576,14576,13508,13508,13382,13382,13079,13079,12651,12651,12498,12498,12041,12041,11439,11439,11127,11127,10750,10750,10628,10628,10584,10584,10322,10322,10230,10230,10059,10059,8517,8517,8080,8080,8079,8079,7750,7750,7309,7309,6982,6982,6927,6927,6688,6688,6625,6625,6292,6292,6113,6113,6082,6082,5959,5959,5679,5679,5430,5430,5429,5429,5376,5376,5253,5253,4592,4592,4312,4312,4043,4043,4020,4020,3828,3828,3827,3827,3776,3776,3557,3557,3482,3482,3449,3449,3437,3437,3433,3433,3272,3272,2828,2828,2739,2739,2710,2710,2700,2700,2591,2591,2397,2397,2369,2369,2341,2341,2334,2334,2318,2318,2187,2187,2068,2068,2036,2036,2010,2010,2003,2003,1701,1701,1659,1659,1652,1652,1645,1645,1560,1560,1535,1535,1274,1274,1215,1215,1141,1141,1124,1124,922,922,652,652,493,493,484,484,447,447,440,440,405,405,341,341,242,242,116,116,101,101,80,80,0.0],[65417,65417,65417,46187,46187,43746,43746,42924,42924,42059,42059,37346,37346,32922,32922,31829,31829,26245,26245,26201,26201,24813,24813,24644,24644,24481,24481,22138,22138,22060,22060,21359,21359,20170,20170,20112,20112,19948,19948,19709,19709,18832,18832,18209,18209,17967,17967,17241,17241,17130,17130,17082,17082,16617,16617,15697,15697,14845,14845,14609,14609,14567,14567,13508,13508,12957,12957,12791,12791,12714,12714,11717,11717,11672,11672,11455,11455,10104,10104,9634,9634,9570,9570,9246,9246,8610,8610,8463,8463,8181,8181,8074,8074,7811,7811,7690,7690,7570,7570,7535,7535,7152,7152,7094,7094,6695,6695,6659,6659,6603,6603,6566,6566,6520,6520,6344,6344,6173,6173,6077,6077,6063,6063,5877,5877,5839,5839,5794,5794,5793,5793,5516,5516,5430,5430,5332,5332,5295,5295,5282,5282,5251,5251,5154,5154,5094,5094,4965,4965,4809,4809,4774,4774,4655,4655,4374,4374,4162,4162,4051,4051,3956,3956,3940,3940,3641,3641,3587,3587,3518,3518,3515,3515,3380,3380,3379,3379,3232,3232,3191,3191,3090,3090,2982,2982,2965,2965,2949,2949,2593,2593,2566,2566,2500,2500,2443,2443,2442,2442,2370,2370,2358,2358,2326,2326,2256,2256,2216,2216,2184,2184,2165,2165,2126,2126,2092,2092,1995,1995,1963,1963,1868,1868,1820,1820,1752,1752,1699,1699,1680,1680,1672,1672,1659,1659,1597,1597,1559,1559,1472,1472,865,865,738,738,216,216,197,197,182,182,116,116,109,109,105,105,92,92,84,84,78,78,67,67,0.0],[25527,25527,25527,23534,23534,22630,22630,20420,20420,20331,20331,16453,16453,16023,16023,15961,15961,15817,15817,15499,15499,15468,15468,14905,14905,14542,14542,14174,14174,13675,13675,13210,13210,12930,12930,12794,12794,12600,12600,12568,12568,11954,11954,11465,11465,11178,11178,10995,10995,10832,10832,10721,10721,10698,10698,10665,10665,10502,10502,10396,10396,10126,10126,10055,10055,10050,10050,9777,9777,9625,9625,9087,9087,8877,8877,8855,8855,8730,8730,8729,8729,8715,8715,8621,8621,8516,8516,8429,8429,8376,8376,8212,8212,8153,8153,7917,7917,7879,7879,7832,7832,7750,7750,7393,7393,7346,7346,7318,7318,7229,7229,6986,6986,6980,6980,6845,6845,6577,6577,6552,6552,6468,6468,6368,6368,6329,6329,6283,6283,6218,6218,6025,6025,5987,5987,5961,5961,5888,5888,5876,5876,5861,5861,5793,5793,5770,5770,5752,5752,5654,5654,5554,5554,5518,5518,5487,5487,5473,5473,5442,5442,5377,5377,5277,5277,5211,5211,5206,5206,5090,5090,5040,5040,5027,5027,5022,5022,5012,5012,4943,4943,4915,4915,4804,4804,4672,4672,4668,4668,4651,4651,4639,4639,4537,4537,4489,4489,4311,4311,4310,4310,4271,4271,4261,4261,4235,4235,4226,4226,4222,4222,4199,4199,4192,4192,4189,4189,3927,3927,3896,3896,3875,3875,3850,3850,3826,3826,3815,3815,3704,3704,3599,3599,3580,3580,3529,3529,3508,3508,3488,3488,3469,3469,3464,3464,3445,3445,3430,3430,3316,3316,3291,3291,3244,3244,3159,3159,3144,3144,3128,3128,3113,3113,3098,3098,3078,3078,3052,3052,3038,3038,2934,2934,2812,2812,2804,2804,2748,2748,2745,2745,2727,2727,2698,2698,2621,2621,2581,2581,2574,2574,2555,2555,2541,2541,2538,2538,2514,2514,2489,2489,2476,2476,2473,2473,2463,2463,2452,2452,2436,2436,2429,2429,2423,2423,2415,2415,2358,2358,2349,2349,2324,2324,2318,2318,2259,2259,2186,2186,2181,2181,2138,2138,2113,2113,2104,2104,2101,2101,2096,2096,2094,2094,2069,2069,1966,1966,1935,1935,1931,1931,1921,1921,1898,1898,1893,1893,1888,1888,1870,1870,1849,1849,1848,1848,1842,1842,1834,1834,1828,1828,1809,1809,1785,1785,1780,1780,1730,1730,1729,1729,1719,1719,1715,1715,1700,1700,1699,1699,1695,1695,1694,1694,1687,1687,1679,1679,1673,1673,1659,1659,1616,1616,1609,1609,1603,1603,1602,1602,1600,1600,1597,1597,1591,1591,1574,1574,1567,1567,1552,1552,1551,1551,1548,1548,1534,1534,1527,1527,1526,1526,1524,1524,1477,1477,1461,1461,1409,1409,1364,1364,1274,1274,1139,1139,1123,1123,921,921,807,807,713,713,539,539,446,446,404,404,389,389,383,383,300,300,0.0],[265404,265404,265404,135744,135744,135339,135339,117821,117821,66403,66403,63368,63368,59842,59842,52699,52699,51196,51196,51027,51027,50662,50662,50208,50208,40759,40759,38544,38544,36685,36685,34633,34633,31614,31614,26102,26102,24813,24813,24643,24643,22149,22149,19842,19842,19187,19187,18805,18805,17107,17107,14377,14377,13508,13508,10730,10730,10517,10517,8800,8800,6860,6860,5430,5430,3905,3905,3639,3639,2509,2509,2359,2359,2260,2260,1472,1472,1471,1471,921,921,836,836,437,437,0.0],[160587,160587,160587,135337,135337,127897,127897,117821,117821,101263,101263,82744,82744,63363,63363,59840,59840,52877,52877,52698,52698,50153,50153,47121,47121,46502,46502,36688,36688,36004,36004,34520,34520,28871,28871,27472,27472,26102,26102,22379,22379,22149,22149,19391,19391,19272,19272,19187,19187,18069,18069,17097,17097,14097,14097,13468,13468,13400,13400,10730,10730,8817,8817,8800,8800,8550,8550,6860,6860,5481,5481,5430,5430,3905,3905,3639,3639,2922,2922,2835,2835,2319,2319,2064,2064,1474,1474,1472,1472,1407,1407,1239,1239,1231,1231,1064,1064,998,998,419,419,356,356,352,352,0.0],[10601,10601,10601,10250,10250,9693,9693,8888,8888,8653,8653,8398,8398,8050,8050,7663,7663,7431,7431,7233,7233,7068,7068,6822,6822,6801,6801,6800,6800,6717,6717,6619,6619,6598,6598,6428,6428,6400,6400,6376,6376,6330,6330,6214,6214,5973,5973,5859,5859,5833,5833,5730,5730,5707,5707,5665,5665,5656,5656,5609,5609,5601,5601,5548,5548,5543,5543,5386,5386,5317,5317,5185,5185,5125,5125,5124,5124,4916,4916,4861,4861,4828,4828,4700,4700,4693,4693,4645,4645,4638,4638,4628,4628,4597,4597,4595,4595,4582,4582,4557,4557,4439,4439,4362,4362,4299,4299,4250,4250,4245,4245,4235,4235,4221,4221,4208,4208,4184,4184,4176,4176,4136,4136,4082,4082,4074,4074,4036,4036,4033,4033,4022,4022,3959,3959,3941,3941,3917,3917,3893,3893,3888,3888,3879,3879,3863,3863,3838,3838,3828,3828,3823,3823,3815,3815,3787,3787,3780,3780,3766,3766,3764,3764,3720,3720,3653,3653,3589,3589,3531,3531,3486,3486,3433,3433,3415,3415,3403,3403,3399,3399,3380,3380,3370,3370,3366,3366,3365,3365,3349,3349,3335,3335,3332,3332,3293,3293,3291,3291,3287,3287,3278,3278,3173,3173,3148,3148,3134,3134,3132,3132,3118,3118,3051,3051,3049,3049,3004,3004,3003,3003,2976,2976,2968,2968,2966,2966,2964,2964,2891,2891,2870,2870,2805,2805,2793,2793,2769,2769,2726,2726,2719,2719,2715,2715,2706,2706,2694,2694,2689,2689,2669,2669,2656,2656,2655,2655,2632,2632,2621,2621,2620,2620,2610,2610,2609,2609,2600,2600,2586,2586,2579,2579,2570,2570,2563,2563,2558,2558,2553,2553,2538,2538,2536,2536,2528,2528,2521,2521,2511,2511,2427,2427,2423,2423,2420,2420,2413,2413,2395,2395,2380,2380,2368,2368,2367,2367,2366,2366,2352,2352,2348,2348,2338,2338,2328,2328,2325,2325,2318,2318,2282,2282,2274,2274,2268,2268,2267,2267,2262,2262,2254,2254,2238,2238,2219,2219,2209,2209,2203,2203,2194,2194,2186,2186,2179,2179,2173,2173,2163,2163,2160,2160,2135,2135,2134,2134,2099,2099,2078,2078,2076,2076,2070,2070,2056,2056,2054,2054,2053,2053,2018,2018,2012,2012,1999,1999,1978,1978,1971,1971,1955,1955,1954,1954,1909,1909,1907,1907,1890,1890,1879,1879,1877,1877,1852,1852,1847,1847,1844,1844,1818,1818,1813,1813,1810,1810,1808,1808,1798,1798,1794,1794,1780,1780,1770,1770,1765,1765,1763,1763,1755,1755,1741,1741,1729,1729,1728,1728,1715,1715,1711,1711,1698,1698,1687,1687,1684,1684,1675,1675,1672,1672,1641,1641,1639,1639,1638,1638,1637,1637,1635,1635,1626,1626,1623,1623,1619,1619,1612,1612,1606,1606,1605,1605,1600,1600,1587,1587,1578,1578,1574,1574,1562,1562,1553,1553,1539,1539,1536,1536,1534,1534,1516,1516,1514,1514,1510,1510,1507,1507,1495,1495,1494,1494,1123,1123,988,988,924,924,670,670,466,466,436,436,413,413,153,153,138,138,129,129,122,122,0.0],[59311,59311,59311,54708,54708,48546,48546,47130,47130,46488,46488,46085,46085,38611,38611,37358,37358,31929,31929,31385,31385,31291,31291,31170,31170,27827,27827,26102,26102,25738,25738,25174,25174,25084,25084,24315,24315,23243,23243,22149,22149,21200,21200,20364,20364,20338,20338,20235,20235,19733,19733,19020,19020,15971,15971,15832,15832,15750,15750,15595,15595,15357,15357,15043,15043,14436,14436,14087,14087,13428,13428,12762,12762,12098,12098,12020,12020,11553,11553,11421,11421,11417,11417,11271,11271,10750,10750,10629,10629,10593,10593,10504,10504,10230,10230,10051,10051,9205,9205,8913,8913,8517,8517,8400,8400,7750,7750,7550,7550,6982,6982,6933,6933,6625,6625,6600,6600,6457,6457,6440,6440,6220,6220,6208,6208,6113,6113,6082,6082,6063,6063,5959,5959,5578,5578,5429,5429,5376,5376,5197,5197,5192,5192,4911,4911,4879,4879,4876,4876,4771,4771,4551,4551,4398,4398,4287,4287,4231,4231,3917,3917,3905,3905,3892,3892,3804,3804,3704,3704,3694,3694,3591,3591,3440,3440,3433,3433,3245,3245,3201,3201,2988,2988,2828,2828,2805,2805,2739,2739,2370,2370,2326,2326,2318,2318,2165,2165,2155,2155,2139,2139,2035,2035,1831,1831,1715,1715,1687,1687,1680,1680,1662,1662,1656,1656,1586,1586,1578,1578,1535,1535,1177,1177,1141,1141,882,882,499,499,495,495,487,487,446,446,443,443,405,405,379,379,199,199,182,182,118,118,114,114,96,96,90,90,0.0],[9201,9201,9201,7938,7938,7742,7742,7404,7404,7069,7069,6569,6569,6113,6113,6053,6053,6022,6022,5983,5983,5880,5880,5758,5758,5685,5685,5541,5541,5537,5537,5315,5315,5283,5283,5249,5249,4943,4943,4908,4908,4871,4871,4665,4665,4662,4662,4551,4551,4481,4481,4470,4470,4400,4400,4358,4358,4351,4351,4251,4251,4188,4188,4156,4156,4130,4130,4096,4096,4085,4085,3955,3955,3929,3929,3837,3837,3780,3780,3774,3774,3767,3767,3707,3707,3697,3697,3691,3691,3660,3660,3612,3612,3565,3565,3509,3509,3463,3463,3454,3454,3452,3452,3438,3438,3371,3371,3363,3363,3337,3337,3334,3334,3332,3332,3284,3284,3270,3270,3239,3239,3236,3236,3227,3227,3208,3208,3147,3147,3139,3139,3115,3115,3090,3090,3047,3047,3014,3014,3004,3004,3002,3002,2966,2966,2944,2944,2943,2943,2929,2929,2926,2926,2896,2896,2873,2873,2871,2871,2852,2852,2834,2834,2793,2793,2782,2782,2771,2771,2769,2769,2739,2739,2734,2734,2727,2727,2722,2722,2721,2721,2708,2708,2705,2705,2688,2688,2675,2675,2649,2649,2638,2638,2631,2631,2629,2629,2623,2623,2612,2612,2610,2610,2578,2578,2566,2566,2554,2554,2546,2546,2544,2544,2522,2522,2520,2520,2517,2517,2515,2515,2507,2507,2471,2471,2465,2465,2464,2464,2447,2447,2438,2438,2426,2426,2416,2416,2413,2413,2409,2409,2405,2405,2403,2403,2394,2394,2388,2388,2383,2383,2359,2359,2358,2358,2355,2355,2354,2354,2326,2326,2317,2317,2311,2311,2280,2280,2278,2278,2272,2272,2270,2270,2262,2262,2260,2260,2252,2252,2239,2239,2233,2233,2226,2226,2222,2222,2218,2218,2216,2216,2210,2210,2202,2202,2197,2197,2189,2189,2187,2187,2185,2185,2183,2183,2180,2180,2172,2172,2168,2168,2162,2162,2161,2161,2154,2154,2149,2149,2138,2138,2132,2132,2130,2130,2123,2123,2121,2121,2117,2117,2112,2112,2111,2111,2107,2107,2101,2101,2076,2076,2066,2066,2062,2062,2060,2060,2054,2054,2045,2045,2040,2040,2038,2038,2034,2034,2024,2024,2018,2018,2017,2017,2014,2014,2010,2010,2003,2003,1999,1999,1988,1988,1986,1986,1982,1982,1977,1977,1972,1972,1966,1966,1960,1960,1957,1957,1950,1950,1945,1945,1921,1921,1918,1918,1917,1917,1911,1911,1905,1905,1901,1901,1889,1889,1881,1881,1880,1880,1859,1859,1856,1856,1855,1855,1854,1854,1849,1849,1840,1840,1839,1839,1831,1831,1826,1826,1823,1823,1819,1819,1807,1807,1794,1794,1792,1792,1789,1789,1785,1785,1783,1783,1780,1780,1777,1777,1769,1769,1759,1759,1754,1754,1747,1747,1746,1746,1729,1729,1722,1722,1716,1716,1715,1715,1709,1709,1707,1707,1704,1704,1693,1693,1690,1690,1688,1688,1685,1685,1680,1680,1676,1676,1671,1671,1658,1658,1653,1653,1651,1651,1650,1650,1646,1646,1630,1630,1629,1629,1627,1627,1626,1626,1610,1610,1602,1602,1598,1598,1592,1592,1591,1591,1590,1590,1587,1587,1585,1585,1583,1583,1582,1582,1579,1579,1576,1576,1575,1575,1565,1565,1563,1563,1561,1561,1558,1558,1555,1555,1544,1544,1543,1543,1540,1540,1539,1539,1524,1524,1521,1521,1513,1513,1506,1506,1503,1503,1495,1495,1494,1494,1477,1477,1476,1476,1473,1473,1470,1470,1468,1468,1410,1410,1408,1408,1374,1374,1346,1346,1318,1318,1297,1297,1275,1275,1190,1190,1136,1136,1124,1124,1016,1016,1010,1010,963,963,924,924,770,770,731,731,718,718,650,650,566,566,558,558,508,508,487,487,477,477,474,474,412,412,409,409,285,285,249,249,243,243,204,204,159,159,114,114,86,86,0.0],[17365,17365,17365,13570,13570,12449,12449,11422,11422,11100,11100,10485,10485,10432,10432,10170,10170,10062,10062,9393,9393,9078,9078,8987,8987,8726,8726,8547,8547,8273,8273,8209,8209,8059,8059,7548,7548,7392,7392,6981,6981,6586,6586,6457,6457,5983,5983,5956,5956,5931,5931,5719,5719,5717,5717,5642,5642,5536,5536,5392,5392,5288,5288,5286,5286,5109,5109,5084,5084,4957,4957,4925,4925,4877,4877,4861,4861,4823,4823,4775,4775,4760,4760,4724,4724,4639,4639,4624,4624,4557,4557,4469,4469,4457,4457,4453,4453,4445,4445,4404,4404,4362,4362,4346,4346,4291,4291,4216,4216,4120,4120,4063,4063,3961,3961,3901,3901,3888,3888,3856,3856,3850,3850,3836,3836,3759,3759,3691,3691,3674,3674,3649,3649,3594,3594,3586,3586,3552,3552,3546,3546,3524,3524,3474,3474,3419,3419,3383,3383,3335,3335,3316,3316,3298,3298,3291,3291,3269,3269,3263,3263,3211,3211,3202,3202,3156,3156,3147,3147,3146,3146,3096,3096,3091,3091,3069,3069,3056,3056,3054,3054,3000,3000,2985,2985,2982,2982,2974,2974,2915,2915,2861,2861,2842,2842,2788,2788,2783,2783,2779,2779,2755,2755,2748,2748,2744,2744,2732,2732,2726,2726,2716,2716,2635,2635,2601,2601,2565,2565,2541,2541,2519,2519,2516,2516,2511,2511,2508,2508,2488,2488,2463,2463,2452,2452,2444,2444,2383,2383,2376,2376,2368,2368,2338,2338,2337,2337,2295,2295,2267,2267,2243,2243,2242,2242,2186,2186,2182,2182,2169,2169,2145,2145,2137,2137,2121,2121,2112,2112,2102,2102,2090,2090,2083,2083,2081,2081,2065,2065,2060,2060,2044,2044,2031,2031,2024,2024,2023,2023,2014,2014,2008,2008,2005,2005,1985,1985,1968,1968,1966,1966,1961,1961,1960,1960,1958,1958,1947,1947,1917,1917,1901,1901,1899,1899,1896,1896,1893,1893,1865,1865,1861,1861,1848,1848,1839,1839,1829,1829,1828,1828,1825,1825,1758,1758,1747,1747,1744,1744,1741,1741,1737,1737,1727,1727,1725,1725,1723,1723,1722,1722,1712,1712,1703,1703,1700,1700,1695,1695,1686,1686,1685,1685,1679,1679,1678,1678,1677,1677,1668,1668,1658,1658,1649,1649,1637,1637,1633,1633,1628,1628,1623,1623,1621,1621,1620,1620,1619,1619,1618,1618,1614,1614,1613,1613,1606,1606,1605,1605,1604,1604,1584,1584,1579,1579,1570,1570,1558,1558,1554,1554,1550,1550,1548,1548,1545,1545,1544,1544,1539,1539,1529,1529,1528,1528,1526,1526,1516,1516,1512,1512,1507,1507,1503,1503,1501,1501,1498,1498,1489,1489,1472,1472,1448,1448,1435,1435,1385,1385,1271,1271,1076,1076,865,865,487,487,415,415,403,403,121,121,118,118,114,114,105,105,0.0],[82726,82726,82726,78773,78773,70839,70839,59840,59840,54708,54708,52698,52698,49772,49772,47121,47121,44813,44813,38493,38493,38170,38170,34634,34634,31385,31385,28995,28995,26102,26102,24643,24643,22149,22149,21197,21197,20338,20338,19544,19544,17686,17686,17417,17417,17327,17327,17136,17136,17132,17132,17107,17107,16476,16476,14210,14210,13509,13509,13308,13308,11417,11417,11027,11027,10750,10750,10407,10407,10229,10229,8517,8517,8078,8078,7970,7970,7750,7750,6983,6983,6688,6688,6600,6600,6457,6457,6113,6113,5429,5429,5096,5096,4943,4943,4473,4473,4312,4312,3905,3905,3828,3828,3639,3639,3515,3515,3433,3433,3245,3245,2828,2828,2817,2817,2504,2504,2469,2469,2359,2359,2334,2334,2326,2326,2186,2186,1701,1701,1494,1494,1472,1472,1274,1274,939,939,924,924,764,764,697,697,499,499,447,447,405,405,278,278,263,263,199,199,150,150,148,148,146,146,0.0],[47130,47130,47130,38412,38412,34633,34633,31501,31501,30727,30727,29575,29575,27435,27435,26734,26734,24643,24643,23852,23852,23501,23501,22766,22766,19569,19569,19375,19375,19070,19070,17942,17942,17428,17428,17208,17208,16974,16974,16969,16969,16864,16864,16782,16782,15162,15162,14971,14971,14939,14939,14877,14877,14740,14740,14459,14459,12256,12256,11752,11752,11503,11503,11303,11303,11027,11027,10292,10292,10257,10257,10230,10230,10165,10165,9851,9851,9644,9644,9550,9550,9130,9130,8975,8975,8886,8886,8800,8800,8002,8002,7710,7710,7703,7703,7664,7664,7130,7130,6610,6610,6463,6463,6455,6455,6257,6257,6113,6113,5723,5723,5430,5430,5376,5376,5266,5266,5185,5185,5140,5140,5075,5075,4946,4946,4642,4642,4439,4439,4297,4297,4258,4258,3905,3905,3873,3873,3810,3810,3466,3466,3249,3249,3227,3227,2978,2978,2949,2949,2698,2698,2577,2577,2423,2423,2152,2152,2143,2143,1948,1948,1856,1856,1769,1769,1738,1738,1701,1701,1645,1645,1608,1608,1564,1564,1561,1561,1173,1173,836,836,824,824,587,587,405,405,146,146,116,116,0.0],[43268,43268,43268,42979,42979,40548,40548,39728,39728,38493,38493,37454,37454,34234,34234,31983,31983,31892,31892,31748,31748,30420,30420,29145,29145,28478,28478,25052,25052,24644,24644,24314,24314,22689,22689,21890,21890,20924,20924,20788,20788,20338,20338,19544,19544,18717,18717,18699,18699,17997,17997,17337,17337,17325,17325,17097,17097,16295,16295,16161,16161,16146,16146,15993,15993,15872,15872,15628,15628,15417,15417,14384,14384,14253,14253,13999,13999,13848,13848,13716,13716,13509,13509,13447,13447,13403,13403,13305,13305,13009,13009,12370,12370,12110,12110,11807,11807,11692,11692,10913,10913,10365,10365,10041,10041,9424,9424,9330,9330,8761,8761,8517,8517,8436,8436,7750,7750,7548,7548,6983,6983,6687,6687,6435,6435,6284,6284,6219,6219,6161,6161,6113,6113,6062,6062,5892,5892,5890,5890,5877,5877,5826,5826,5794,5794,5574,5574,5429,5429,5376,5376,5278,5278,5065,5065,5008,5008,4650,4650,4640,4640,4398,4398,4312,4312,4270,4270,4248,4248,4214,4214,3826,3826,3704,3704,3559,3559,3396,3396,3292,3292,3244,3244,3109,3109,2805,2805,2749,2749,2611,2611,2359,2359,2326,2326,2318,2318,2235,2235,2165,2165,2139,2139,1921,1921,1883,1883,1856,1856,1795,1795,1719,1719,1701,1701,1686,1686,1680,1680,1613,1613,1585,1585,1574,1574,1535,1535,1417,1417,1091,1091,924,924,499,499,436,436,404,404,371,371,300,300,199,199,0.0],[47764,47764,47764,31789,31789,29724,29724,29396,29396,27788,27788,26049,26049,25611,25611,25007,25007,24405,24405,23384,23384,22214,22214,22042,22042,20926,20926,20322,20322,19002,19002,18647,18647,18336,18336,18262,18262,18153,18153,18025,18025,17940,17940,16324,16324,16103,16103,14746,14746,14227,14227,13723,13723,13616,13616,13486,13486,11999,11999,11856,11856,11623,11623,11250,11250,10960,10960,10835,10835,10729,10729,8800,8800,8766,8766,8215,8215,8181,8181,7701,7701,7434,7434,7237,7237,7014,7014,6610,6610,6518,6518,6139,6139,6026,6026,5959,5959,5908,5908,5364,5364,5141,5141,4850,4850,4811,4811,4364,4364,4318,4318,4098,4098,3905,3905,3429,3429,3216,3216,2980,2980,2975,2975,2972,2972,2863,2863,2729,2729,2254,2254,1917,1917,1769,1769,1535,1535,1472,1472,1150,1150,1064,1064,996,996,921,921,751,751,652,652,601,601,443,443,419,419,95,95,0.0],[117821,117821,117821,72699,72699,64845,64845,62175,62175,59840,59840,56663,56663,52877,52877,51281,51281,48702,48702,48461,48461,44815,44815,44394,44394,41717,41717,38233,38233,34277,34277,33448,33448,31928,31928,31827,31827,30127,30127,28763,28763,26102,26102,25459,25459,24643,24643,24486,24486,23487,23487,22825,22825,22149,22149,20825,20825,20116,20116,18456,18456,17432,17432,17106,17106,15595,15595,14530,14530,13509,13509,13360,13360,13088,13088,11269,11269,10059,10059,9347,9347,8506,8506,7750,7750,7526,7526,6927,6927,6894,6894,6625,6625,5922,5922,5795,5795,5486,5486,5430,5430,5243,5243,5066,5066,4641,4641,4553,4553,4463,4463,4287,4287,4207,4207,3995,3995,3905,3905,3829,3829,3639,3639,3433,3433,3245,3245,2805,2805,2548,2548,2498,2498,2458,2458,2357,2357,2327,2327,2326,2326,2318,2318,2246,2246,2165,2165,2115,2115,2068,2068,2021,2021,2003,2003,1917,1917,1817,1817,1774,1774,1701,1701,1680,1680,1645,1645,1567,1567,1472,1472,1422,1422,1400,1400,1292,1292,947,947,923,923,922,922,655,655,633,633,499,499,487,487,486,486,438,438,114,114,99,99,0.0],[60331,60331,60331,48881,48881,47155,47155,46589,46589,45896,45896,42907,42907,40396,40396,39778,39778,39753,39753,38493,38493,36628,36628,35612,35612,33447,33447,32074,32074,30987,30987,30353,30353,27552,27552,26101,26101,25821,25821,25522,25522,24060,24060,21319,21319,21308,21308,20925,20925,19818,19818,19187,19187,17575,17575,17338,17338,16823,16823,16296,16296,16031,16031,15822,15822,15586,15586,14775,14775,14748,14748,14722,14722,14315,14315,14250,14250,14232,14232,14087,14087,13736,13736,13509,13509,13349,13349,13271,13271,13249,13249,12902,12902,12616,12616,12394,12394,12109,12109,12078,12078,12031,12031,11421,11421,11273,11273,10666,10666,9593,9593,9112,9112,8626,8626,8562,8562,8375,8375,8126,8126,8112,8112,7684,7684,7612,7612,7272,7272,7144,7144,6942,6942,6906,6906,6780,6780,6660,6660,6466,6466,6416,6416,6390,6390,6348,6348,6261,6261,5951,5951,5911,5911,5908,5908,5646,5646,5575,5575,5544,5544,5428,5428,4992,4992,4831,4831,4438,4438,4223,4223,3991,3991,3905,3905,3883,3883,3839,3839,3827,3827,3597,3597,3186,3186,3017,3017,2878,2878,2836,2836,2611,2611,2429,2429,2359,2359,2341,2341,2318,2318,2298,2298,2235,2235,2209,2209,2186,2186,2139,2139,1944,1944,1923,1923,1917,1917,1790,1790,1715,1715,1701,1701,1680,1680,1593,1593,1567,1567,1564,1564,1555,1555,1535,1535,1385,1385,1274,1274,1141,1141,922,922,921,921,836,836,652,652,487,487,464,464,446,446,405,405,379,379,287,287,199,199,198,198,114,114,0.0],[18918,18918,18918,18735,18735,16015,16015,15468,15468,13542,13542,12330,12330,11909,11909,11822,11822,11562,11562,11313,11313,10985,10985,10451,10451,9949,9949,9792,9792,9660,9660,9010,9010,8888,8888,8787,8787,8657,8657,8612,8612,8580,8580,8515,8515,8511,8511,8459,8459,8441,8441,8381,8381,8230,8230,8142,8142,7991,7991,7849,7849,7775,7775,7765,7765,7658,7658,7247,7247,7234,7234,7232,7232,7029,7029,6988,6988,6981,6981,6818,6818,6628,6628,6598,6598,6482,6482,6466,6466,6450,6450,6421,6421,6382,6382,6218,6218,6189,6189,6179,6179,6161,6161,6154,6154,6126,6126,6083,6083,6076,6076,6013,6013,5945,5945,5935,5935,5931,5931,5912,5912,5911,5911,5826,5826,5632,5632,5600,5600,5533,5533,5512,5512,5477,5477,5441,5441,5432,5432,5338,5338,5320,5320,5308,5308,5277,5277,5261,5261,5248,5248,5093,5093,5041,5041,5036,5036,5031,5031,5027,5027,4976,4976,4872,4872,4865,4865,4843,4843,4797,4797,4744,4744,4737,4737,4690,4690,4676,4676,4653,4653,4639,4639,4625,4625,4612,4612,4611,4611,4542,4542,4502,4502,4487,4487,4478,4478,4457,4457,4448,4448,4284,4284,4268,4268,4240,4240,4215,4215,4143,4143,3913,3913,3905,3905,3892,3892,3884,3884,3859,3859,3855,3855,3725,3725,3678,3678,3635,3635,3623,3623,3587,3587,3569,3569,3567,3567,3555,3555,3527,3527,3503,3503,3483,3483,3457,3457,3382,3382,3328,3328,3315,3315,3159,3159,3114,3114,3086,3086,3051,3051,2973,2973,2942,2942,2939,2939,2886,2886,2847,2847,2817,2817,2804,2804,2782,2782,2765,2765,2741,2741,2733,2733,2685,2685,2650,2650,2634,2634,2620,2620,2610,2610,2574,2574,2558,2558,2514,2514,2504,2504,2478,2478,2442,2442,2441,2441,2397,2397,2325,2325,2318,2318,2233,2233,2174,2174,2172,2172,2168,2168,2167,2167,2147,2147,2143,2143,2109,2109,2088,2088,2034,2034,2028,2028,2024,2024,1998,1998,1997,1997,1984,1984,1951,1951,1948,1948,1924,1924,1918,1918,1911,1911,1893,1893,1889,1889,1885,1885,1834,1834,1799,1799,1783,1783,1772,1772,1754,1754,1722,1722,1715,1715,1699,1699,1679,1679,1677,1677,1668,1668,1651,1651,1604,1604,1601,1601,1593,1593,1581,1581,1577,1577,1562,1562,1561,1561,1560,1560,1551,1551,1534,1534,1472,1472,1460,1460,576,576,404,404,356,356,0.0],[35744,35744,35744,24646,24646,22516,22516,22322,22322,20527,20527,20129,20129,19277,19277,18378,18378,16918,16918,16889,16889,16600,16600,16504,16504,16338,16338,16156,16156,16043,16043,15880,15880,15859,15859,15597,15597,13951,13951,13751,13751,13512,13512,12735,12735,12461,12461,12356,12356,12161,12161,11921,11921,11669,11669,10849,10849,10604,10604,10352,10352,10167,10167,10059,10059,9820,9820,9818,9818,9784,9784,9479,9479,9347,9347,9300,9300,9258,9258,9111,9111,9047,9047,8976,8976,8911,8911,8859,8859,8818,8818,8493,8493,8490,8490,8377,8377,8311,8311,8186,8186,8163,8163,8128,8128,8045,8045,7962,7962,7947,7947,7890,7890,7813,7813,7793,7793,7770,7770,7715,7715,7589,7589,7541,7541,7408,7408,7147,7147,7114,7114,7047,7047,6998,6998,6905,6905,6889,6889,6886,6886,6849,6849,6838,6838,6787,6787,6785,6785,6709,6709,6683,6683,6662,6662,6644,6644,6637,6637,6552,6552,6536,6536,6496,6496,6394,6394,6387,6387,6328,6328,6259,6259,6161,6161,6148,6148,6131,6131,6052,6052,5922,5922,5898,5898,5891,5891,5858,5858,5845,5845,5653,5653,5598,5598,5565,5565,5443,5443,5427,5427,5226,5226,5141,5141,5093,5093,5082,5082,5079,5079,5074,5074,4815,4815,4804,4804,4778,4778,4776,4776,4667,4667,4604,4604,4505,4505,4477,4477,4427,4427,4386,4386,4379,4379,4352,4352,4275,4275,4207,4207,4194,4194,4110,4110,4053,4053,4040,4040,4020,4020,4003,4003,3978,3978,3942,3942,3923,3923,3888,3888,3881,3881,3850,3850,3825,3825,3802,3802,3765,3765,3759,3759,3735,3735,3718,3718,3701,3701,3700,3700,3696,3696,3678,3678,3612,3612,3604,3604,3486,3486,3441,3441,3394,3394,3357,3357,3321,3321,3305,3305,3244,3244,3225,3225,3201,3201,3174,3174,3150,3150,3100,3100,3097,3097,3075,3075,3046,3046,3036,3036,3034,3034,3011,3011,2981,2981,2976,2976,2969,2969,2955,2955,2852,2852,2768,2768,2726,2726,2717,2717,2707,2707,2683,2683,2675,2675,2657,2657,2651,2651,2617,2617,2580,2580,2530,2530,2529,2529,2528,2528,2481,2481,2466,2466,2463,2463,2408,2408,2385,2385,2377,2377,2373,2373,2366,2366,2305,2305,2236,2236,2226,2226,2207,2207,2175,2175,2160,2160,2153,2153,2125,2125,2100,2100,2092,2092,2081,2081,2075,2075,2055,2055,2037,2037,2031,2031,2028,2028,2008,2008,2007,2007,1981,1981,1975,1975,1968,1968,1965,1965,1962,1962,1956,1956,1951,1951,1892,1892,1823,1823,1822,1822,1806,1806,1793,1793,1789,1789,1764,1764,1756,1756,1731,1731,1705,1705,1704,1704,1702,1702,1694,1694,1692,1692,1670,1670,1668,1668,1648,1648,1637,1637,1629,1629,1617,1617,1608,1608,1606,1606,1598,1598,1597,1597,1578,1578,1553,1553,1549,1549,1536,1536,1483,1483,1455,1455,1371,1371,1246,1246,1157,1157,896,896,889,889,870,870,863,863,601,601,523,523,371,371,367,367,328,328,140,140,117,117,103,103,0.0],[11135,11135,11135,10370,10370,9624,9624,9051,9051,9021,9021,8895,8895,8815,8815,7987,7987,7864,7864,7702,7702,7513,7513,7320,7320,7065,7065,7063,7063,6963,6963,6938,6938,6758,6758,6600,6600,6449,6449,6304,6304,6257,6257,6099,6099,6074,6074,6059,6059,6015,6015,5859,5859,5823,5823,5750,5750,5741,5741,5737,5737,5636,5636,5607,5607,5593,5593,5569,5569,5459,5459,5447,5447,5332,5332,5250,5250,5242,5242,5232,5232,5033,5033,5030,5030,4984,4984,4983,4983,4836,4836,4823,4823,4799,4799,4789,4789,4762,4762,4748,4748,4616,4616,4447,4447,4402,4402,4400,4400,4397,4397,4396,4396,4392,4392,4331,4331,4301,4301,4298,4298,4263,4263,4257,4257,4223,4223,4176,4176,4152,4152,4116,4116,4114,4114,4101,4101,4095,4095,4048,4048,4030,4030,3902,3902,3867,3867,3832,3832,3812,3812,3808,3808,3797,3797,3785,3785,3775,3775,3744,3744,3730,3730,3728,3728,3720,3720,3680,3680,3645,3645,3638,3638,3628,3628,3620,3620,3619,3619,3585,3585,3584,3584,3581,3581,3548,3548,3538,3538,3506,3506,3480,3480,3478,3478,3460,3460,3422,3422,3408,3408,3398,3398,3397,3397,3376,3376,3360,3360,3348,3348,3305,3305,3278,3278,3265,3265,3257,3257,3233,3233,3222,3222,3176,3176,3164,3164,3160,3160,3144,3144,3118,3118,3110,3110,3109,3109,3105,3105,3066,3066,3045,3045,3042,3042,3041,3041,3037,3037,3016,3016,3012,3012,3005,3005,2992,2992,2991,2991,2988,2988,2973,2973,2959,2959,2951,2951,2947,2947,2940,2940,2939,2939,2908,2908,2898,2898,2895,2895,2891,2891,2889,2889,2882,2882,2881,2881,2876,2876,2869,2869,2863,2863,2861,2861,2846,2846,2834,2834,2827,2827,2825,2825,2819,2819,2813,2813,2812,2812,2804,2804,2785,2785,2748,2748,2745,2745,2742,2742,2731,2731,2728,2728,2719,2719,2713,2713,2706,2706,2686,2686,2628,2628,2607,2607,2599,2599,2594,2594,2582,2582,2581,2581,2579,2579,2562,2562,2555,2555,2546,2546,2536,2536,2530,2530,2512,2512,2473,2473,2472,2472,2467,2467,2447,2447,2442,2442,2430,2430,2427,2427,2421,2421,2413,2413,2410,2410,2384,2384,2383,2383,2375,2375,2374,2374,2368,2368,2355,2355,2350,2350,2349,2349,2348,2348,2336,2336,2335,2335,2325,2325,2307,2307,2295,2295,2292,2292,2288,2288,2279,2279,2273,2273,2264,2264,2256,2256,2253,2253,2250,2250,2248,2248,2223,2223,2218,2218,2217,2217,2215,2215,2212,2212,2196,2196,2178,2178,2176,2176,2175,2175,2162,2162,2154,2154,2140,2140,2137,2137,2134,2134,2131,2131,2126,2126,2122,2122,2103,2103,2098,2098,2094,2094,2088,2088,2076,2076,2060,2060,2056,2056,2043,2043,2032,2032,2024,2024,2015,2015,1990,1990,1975,1975,1969,1969,1962,1962,1952,1952,1940,1940,1936,1936,1932,1932,1906,1906,1903,1903,1885,1885,1881,1881,1876,1876,1874,1874,1867,1867,1866,1866,1840,1840,1831,1831,1828,1828,1826,1826,1821,1821,1816,1816,1814,1814,1810,1810,1801,1801,1797,1797,1795,1795,1791,1791,1788,1788,1783,1783,1776,1776,1770,1770,1768,1768,1764,1764,1751,1751,1746,1746,1742,1742,1740,1740,1734,1734,1731,1731,1726,1726,1710,1710,1707,1707,1705,1705,1704,1704,1700,1700,1694,1694,1693,1693,1671,1671,1669,1669,1660,1660,1659,1659,1657,1657,1646,1646,1634,1634,1632,1632,1616,1616,1611,1611,1602,1602,1586,1586,1584,1584,1579,1579,1574,1574,1549,1549,1545,1545,1542,1542,1541,1541,1527,1527,1523,1523,1521,1521,1519,1519,1517,1517,1516,1516,1511,1511,1507,1507,1506,1506,1503,1503,1484,1484,1476,1476,1297,1297,1274,1274,1189,1189,1139,1139,1131,1131,1130,1130,1128,1128,1120,1120,1076,1076,1008,1008,870,870,807,807,720,720,545,545,523,523,510,510,435,435,414,414,364,364,325,325,183,183,143,143,141,141,140,140,84,84,65,65,0.0],[28650,28650,28650,27323,27323,24456,24456,24317,24317,22757,22757,21037,21037,20390,20390,19974,19974,19914,19914,17831,17831,17510,17510,16106,16106,15831,15831,15281,15281,13935,13935,13902,13902,13860,13860,13501,13501,13441,13441,13239,13239,13122,13122,12939,12939,12536,12536,12473,12473,12309,12309,11627,11627,11494,11494,11247,11247,11050,11050,11021,11021,10724,10724,10715,10715,10363,10363,10352,10352,10203,10203,10171,10171,10163,10163,9909,9909,9882,9882,9839,9839,9803,9803,9280,9280,8792,8792,8756,8756,8700,8700,8681,8681,8320,8320,7968,7968,7916,7916,7833,7833,7772,7772,7766,7766,7702,7702,7693,7693,7680,7680,7576,7576,7447,7447,7263,7263,6956,6956,6954,6954,6873,6873,6850,6850,6826,6826,6800,6800,6757,6757,6662,6662,6651,6651,6580,6580,6515,6515,6442,6442,6350,6350,6285,6285,6031,6031,6018,6018,6013,6013,6003,6003,6000,6000,5937,5937,5935,5935,5886,5886,5854,5854,5819,5819,5802,5802,5772,5772,5735,5735,5634,5634,5621,5621,5557,5557,5465,5465,5413,5413,5354,5354,5353,5353,5339,5339,5320,5320,5315,5315,5312,5312,5237,5237,5211,5211,5072,5072,5033,5033,5000,5000,4966,4966,4928,4928,4898,4898,4876,4876,4835,4835,4784,4784,4778,4778,4743,4743,4687,4687,4669,4669,4661,4661,4578,4578,4568,4568,4555,4555,4535,4535,4510,4510,4507,4507,4499,4499,4410,4410,4382,4382,4306,4306,4288,4288,4283,4283,4252,4252,4242,4242,4219,4219,4138,4138,4135,4135,3977,3977,3872,3872,3823,3823,3791,3791,3765,3765,3749,3749,3690,3690,3632,3632,3593,3593,3592,3592,3587,3587,3524,3524,3499,3499,3473,3473,3468,3468,3453,3453,3443,3443,3414,3414,3398,3398,3351,3351,3336,3336,3328,3328,3322,3322,3259,3259,3231,3231,3230,3230,3190,3190,3181,3181,3157,3157,3141,3141,3138,3138,3133,3133,3064,3064,3040,3040,3018,3018,2999,2999,2924,2924,2880,2880,2837,2837,2766,2766,2764,2764,2748,2748,2733,2733,2704,2704,2694,2694,2684,2684,2633,2633,2629,2629,2608,2608,2605,2605,2594,2594,2553,2553,2551,2551,2550,2550,2521,2521,2511,2511,2495,2495,2449,2449,2388,2388,2387,2387,2348,2348,2339,2339,2328,2328,2323,2323,2300,2300,2292,2292,2259,2259,2242,2242,2207,2207,2197,2197,2172,2172,2156,2156,2147,2147,2126,2126,2117,2117,2115,2115,2098,2098,2080,2080,2056,2056,2054,2054,2026,2026,2005,2005,2003,2003,1931,1931,1928,1928,1921,1921,1897,1897,1875,1875,1870,1870,1869,1869,1865,1865,1857,1857,1759,1759,1758,1758,1756,1756,1754,1754,1739,1739,1723,1723,1702,1702,1698,1698,1684,1684,1678,1678,1670,1670,1669,1669,1648,1648,1642,1642,1639,1639,1635,1635,1601,1601,1597,1597,1581,1581,1576,1576,1569,1569,1561,1561,1535,1535,1513,1513,1476,1476,1473,1473,1458,1458,1415,1415,1370,1370,1313,1313,1040,1040,908,908,907,907,780,780,751,751,710,710,649,649,542,542,523,523,504,504,486,486,429,429,322,322,185,185,94,94,84,84,82,82,65,65,0.0],[29232,29232,29232,22503,22503,21155,21155,19287,19287,18482,18482,17296,17296,16951,16951,16718,16718,15070,15070,14663,14663,14595,14595,13913,13913,13723,13723,13579,13579,13455,13455,13268,13268,13218,13218,13128,13128,12880,12880,12822,12822,12561,12561,12523,12523,12419,12419,12417,12417,11637,11637,11331,11331,11133,11133,10838,10838,10775,10775,10597,10597,10134,10134,10103,10103,10036,10036,9886,9886,9871,9871,9725,9725,9680,9680,9241,9241,9042,9042,8990,8990,8950,8950,8939,8939,8894,8894,8844,8844,8616,8616,8563,8563,8278,8278,8019,8019,7991,7991,7981,7981,7942,7942,7931,7931,7897,7897,7872,7872,7670,7670,7658,7658,7448,7448,7437,7437,7300,7300,7185,7185,7182,7182,7044,7044,6969,6969,6898,6898,6810,6810,6712,6712,6699,6699,6695,6695,6662,6662,6432,6432,6354,6354,6254,6254,6153,6153,6148,6148,6098,6098,6092,6092,6056,6056,6034,6034,5988,5988,5935,5935,5899,5899,5796,5796,5780,5780,5737,5737,5716,5716,5707,5707,5637,5637,5615,5615,5600,5600,5582,5582,5563,5563,5551,5551,5492,5492,5488,5488,5451,5451,5431,5431,5415,5415,5312,5312,5276,5276,5206,5206,5204,5204,5151,5151,5016,5016,5004,5004,4911,4911,4889,4889,4809,4809,4766,4766,4700,4700,4652,4652,4569,4569,4539,4539,4525,4525,4517,4517,4505,4505,4500,4500,4492,4492,4465,4465,4457,4457,4430,4430,4378,4378,4332,4332,4286,4286,4214,4214,4208,4208,4203,4203,4012,4012,4002,4002,3868,3868,3847,3847,3836,3836,3830,3830,3793,3793,3784,3784,3780,3780,3715,3715,3642,3642,3611,3611,3596,3596,3588,3588,3571,3571,3552,3552,3549,3549,3493,3493,3490,3490,3457,3457,3445,3445,3414,3414,3399,3399,3398,3398,3395,3395,3392,3392,3389,3389,3368,3368,3350,3350,3311,3311,3300,3300,3297,3297,3281,3281,3276,3276,3242,3242,3216,3216,3200,3200,3171,3171,3169,3169,3166,3166,3145,3145,3118,3118,3088,3088,3046,3046,3018,3018,3005,3005,2962,2962,2934,2934,2932,2932,2908,2908,2888,2888,2875,2875,2866,2866,2847,2847,2822,2822,2812,2812,2748,2748,2739,2739,2737,2737,2712,2712,2699,2699,2695,2695,2662,2662,2635,2635,2606,2606,2604,2604,2561,2561,2553,2553,2546,2546,2525,2525,2476,2476,2463,2463,2439,2439,2437,2437,2420,2420,2407,2407,2339,2339,2209,2209,2197,2197,2196,2196,2187,2187,2164,2164,2162,2162,2149,2149,2146,2146,2142,2142,2124,2124,2121,2121,2116,2116,2067,2067,2056,2056,2055,2055,2025,2025,2005,2005,2003,2003,1996,1996,1972,1972,1931,1931,1929,1929,1917,1917,1916,1916,1885,1885,1873,1873,1871,1871,1866,1866,1855,1855,1830,1830,1824,1824,1767,1767,1764,1764,1750,1750,1731,1731,1686,1686,1677,1677,1665,1665,1657,1657,1650,1650,1646,1646,1629,1629,1584,1584,1582,1582,1579,1579,1552,1552,1548,1548,1541,1541,1539,1539,1534,1534,1519,1519,1508,1508,1506,1506,1503,1503,1306,1306,1284,1284,1060,1060,870,870,745,745,649,649,648,648,573,573,523,523,466,466,371,371,364,364,329,329,328,328,274,274,140,140,103,103,84,84,0.0],[10797,10797,10797,10746,10746,10275,10275,9932,9932,9032,9032,8853,8853,8196,8196,7821,7821,7755,7755,7705,7705,7532,7532,7524,7524,7511,7511,7446,7446,7032,7032,7004,7004,6472,6472,6440,6440,6294,6294,6199,6199,6142,6142,6137,6137,6077,6077,6063,6063,6048,6048,5966,5966,5813,5813,5784,5784,5630,5630,5578,5578,5577,5577,5576,5576,5572,5572,5517,5517,5430,5430,5369,5369,5263,5263,5238,5238,5195,5195,5128,5128,5039,5039,4942,4942,4939,4939,4907,4907,4902,4902,4893,4893,4877,4877,4834,4834,4778,4778,4752,4752,4731,4731,4625,4625,4613,4613,4503,4503,4479,4479,4443,4443,4313,4313,4292,4292,4274,4274,4271,4271,4250,4250,4189,4189,4169,4169,4160,4160,4130,4130,4122,4122,4108,4108,3983,3983,3953,3953,3949,3949,3936,3936,3928,3928,3921,3921,3894,3894,3875,3875,3859,3859,3854,3854,3794,3794,3774,3774,3769,3769,3755,3755,3739,3739,3725,3725,3718,3718,3716,3716,3698,3698,3696,3696,3686,3686,3644,3644,3635,3635,3576,3576,3570,3570,3553,3553,3530,3530,3518,3518,3498,3498,3496,3496,3487,3487,3483,3483,3479,3479,3468,3468,3452,3452,3438,3438,3411,3411,3407,3407,3369,3369,3343,3343,3291,3291,3228,3228,3218,3218,3211,3211,3140,3140,3137,3137,3120,3120,3114,3114,3101,3101,3086,3086,3075,3075,3070,3070,3044,3044,3041,3041,3031,3031,3026,3026,3018,3018,3013,3013,2982,2982,2942,2942,2938,2938,2894,2894,2886,2886,2839,2839,2835,2835,2832,2832,2823,2823,2812,2812,2799,2799,2796,2796,2786,2786,2777,2777,2765,2765,2759,2759,2756,2756,2746,2746,2728,2728,2725,2725,2708,2708,2704,2704,2703,2703,2696,2696,2687,2687,2686,2686,2653,2653,2644,2644,2643,2643,2641,2641,2628,2628,2592,2592,2588,2588,2573,2573,2563,2563,2557,2557,2549,2549,2548,2548,2534,2534,2519,2519,2508,2508,2497,2497,2494,2494,2479,2479,2478,2478,2457,2457,2451,2451,2447,2447,2445,2445,2441,2441,2416,2416,2412,2412,2408,2408,2407,2407,2400,2400,2391,2391,2389,2389,2371,2371,2329,2329,2323,2323,2315,2315,2312,2312,2303,2303,2295,2295,2291,2291,2276,2276,2265,2265,2260,2260,2250,2250,2248,2248,2233,2233,2228,2228,2220,2220,2213,2213,2210,2210,2207,2207,2201,2201,2197,2197,2187,2187,2164,2164,2153,2153,2144,2144,2123,2123,2121,2121,2112,2112,2111,2111,2094,2094,2084,2084,2082,2082,2081,2081,2076,2076,2057,2057,2052,2052,2044,2044,2038,2038,2034,2034,2013,2013,2011,2011,2007,2007,1998,1998,1991,1991,1986,1986,1979,1979,1977,1977,1969,1969,1963,1963,1962,1962,1955,1955,1951,1951,1943,1943,1941,1941,1937,1937,1936,1936,1930,1930,1920,1920,1904,1904,1902,1902,1900,1900,1896,1896,1890,1890,1889,1889,1883,1883,1878,1878,1873,1873,1871,1871,1870,1870,1866,1866,1865,1865,1859,1859,1856,1856,1845,1845,1839,1839,1833,1833,1832,1832,1825,1825,1821,1821,1818,1818,1814,1814,1806,1806,1799,1799,1794,1794,1785,1785,1775,1775,1769,1769,1767,1767,1757,1757,1756,1756,1750,1750,1742,1742,1738,1738,1730,1730,1723,1723,1711,1711,1710,1710,1708,1708,1701,1701,1700,1700,1696,1696,1692,1692,1689,1689,1688,1688,1682,1682,1680,1680,1679,1679,1666,1666,1665,1665,1658,1658,1656,1656,1649,1649,1643,1643,1634,1634,1631,1631,1626,1626,1625,1625,1623,1623,1618,1618,1617,1617,1613,1613,1592,1592,1587,1587,1583,1583,1581,1581,1570,1570,1567,1567,1558,1558,1550,1550,1546,1546,1538,1538,1534,1534,1533,1533,1532,1532,1524,1524,1512,1512,1507,1507,1476,1476,1474,1474,1447,1447,1413,1413,1295,1295,1292,1292,1237,1237,1222,1222,1188,1188,1090,1090,1033,1033,881,881,843,843,717,717,695,695,680,680,622,622,554,554,497,497,474,474,436,436,419,419,366,366,291,291,268,268,262,262,257,257,237,237,142,142,87,87,84,84,65,65,0.0],[20454,20454,20454,18906,18906,18135,18135,15745,15745,15587,15587,15557,15557,15045,15045,14619,14619,14153,14153,14100,14100,14020,14020,13240,13240,13126,13126,12915,12915,12871,12871,12493,12493,11822,11822,11509,11509,11453,11453,11284,11284,11089,11089,10828,10828,10576,10576,10533,10533,10225,10225,10159,10159,9937,9937,9910,9910,9759,9759,9715,9715,9640,9640,9388,9388,9268,9268,9254,9254,9099,9099,8901,8901,8824,8824,8803,8803,8782,8782,8705,8705,8667,8667,8638,8638,8601,8601,8423,8423,8419,8419,8232,8232,8210,8210,8202,8202,8186,8186,7963,7963,7960,7960,7910,7910,7886,7886,7771,7771,7766,7766,7743,7743,7671,7671,7649,7649,7609,7609,7484,7484,7359,7359,7290,7290,7234,7234,7167,7167,7044,7044,7039,7039,7038,7038,6972,6972,6965,6965,6924,6924,6921,6921,6904,6904,6884,6884,6881,6881,6741,6741,6687,6687,6622,6622,6596,6596,6517,6517,6511,6511,6485,6485,6428,6428,6407,6407,6333,6333,6294,6294,6288,6288,6156,6156,6089,6089,6020,6020,5927,5927,5920,5920,5878,5878,5851,5851,5842,5842,5768,5768,5767,5767,5731,5731,5686,5686,5663,5663,5525,5525,5519,5519,5445,5445,5420,5420,5415,5415,5413,5413,5410,5410,5385,5385,5380,5380,5372,5372,5356,5356,5291,5291,5214,5214,5184,5184,5164,5164,5163,5163,5096,5096,4939,4939,4931,4931,4922,4922,4874,4874,4861,4861,4789,4789,4701,4701,4645,4645,4637,4637,4634,4634,4587,4587,4534,4534,4504,4504,4498,4498,4444,4444,4441,4441,4392,4392,4378,4378,4316,4316,4294,4294,4275,4275,4266,4266,4264,4264,4253,4253,4241,4241,4167,4167,4166,4166,4130,4130,4049,4049,4047,4047,4028,4028,4017,4017,3985,3985,3933,3933,3922,3922,3919,3919,3834,3834,3787,3787,3765,3765,3730,3730,3624,3624,3542,3542,3535,3535,3506,3506,3436,3436,3379,3379,3351,3351,3316,3316,3300,3300,3292,3292,3264,3264,3203,3203,3185,3185,3168,3168,3116,3116,3114,3114,3105,3105,3103,3103,3044,3044,3042,3042,3038,3038,3027,3027,2998,2998,2988,2988,2987,2987,2967,2967,2965,2965,2962,2962,2941,2941,2934,2934,2894,2894,2880,2880,2860,2860,2856,2856,2848,2848,2835,2835,2821,2821,2771,2771,2725,2725,2715,2715,2672,2672,2658,2658,2654,2654,2627,2627,2608,2608,2598,2598,2581,2581,2567,2567,2541,2541,2515,2515,2507,2507,2503,2503,2493,2493,2486,2486,2448,2448,2445,2445,2399,2399,2369,2369,2352,2352,2351,2351,2347,2347,2334,2334,2333,2333,2296,2296,2291,2291,2280,2280,2241,2241,2239,2239,2232,2232,2210,2210,2203,2203,2194,2194,2193,2193,2176,2176,2175,2175,2171,2171,2136,2136,2131,2131,2130,2130,2113,2113,2105,2105,2104,2104,2083,2083,2044,2044,2035,2035,2033,2033,1959,1959,1952,1952,1948,1948,1941,1941,1922,1922,1907,1907,1902,1902,1890,1890,1868,1868,1820,1820,1804,1804,1781,1781,1771,1771,1768,1768,1735,1735,1729,1729,1715,1715,1696,1696,1685,1685,1673,1673,1670,1670,1660,1660,1639,1639,1621,1621,1604,1604,1582,1582,1541,1541,1510,1510,1399,1399,1299,1299,1258,1258,1218,1218,1180,1180,1027,1027,979,979,870,870,729,729,695,695,687,687,664,664,523,523,371,371,364,364,328,328,310,310,218,218,162,162,82,82,80,80,71,71,65,65,0.0],[30586,30586,30586,25762,25762,24860,24860,24736,24736,23133,23133,21814,21814,20158,20158,19931,19931,18924,18924,18843,18843,17737,17737,17656,17656,16541,16541,16025,16025,15443,15443,14288,14288,14103,14103,14045,14045,13974,13974,13393,13393,12845,12845,12475,12475,12379,12379,12212,12212,12172,12172,12095,12095,12041,12041,12039,12039,12003,12003,11868,11868,11370,11370,11275,11275,11248,11248,11121,11121,10666,10666,10611,10611,10591,10591,10584,10584,10483,10483,10360,10360,10321,10321,10138,10138,10097,10097,9259,9259,9142,9142,9057,9057,8175,8175,8165,8165,8146,8146,8120,8120,8119,8119,8102,8102,8043,8043,8038,8038,7936,7936,7853,7853,7756,7756,7755,7755,7531,7531,7486,7486,7363,7363,7288,7288,7191,7191,7136,7136,7061,7061,7001,7001,6976,6976,6967,6967,6952,6952,6940,6940,6738,6738,6684,6684,6662,6662,6630,6630,6611,6611,6603,6603,6587,6587,6526,6526,6298,6298,6269,6269,6239,6239,6072,6072,6030,6030,5953,5953,5904,5904,5870,5870,5861,5861,5852,5852,5824,5824,5802,5802,5732,5732,5686,5686,5606,5606,5589,5589,5467,5467,5405,5405,5319,5319,5314,5314,5279,5279,5269,5269,5202,5202,5200,5200,5080,5080,5054,5054,5044,5044,4990,4990,4951,4951,4919,4919,4690,4690,4676,4676,4642,4642,4634,4634,4626,4626,4623,4623,4600,4600,4598,4598,4592,4592,4576,4576,4556,4556,4550,4550,4515,4515,4495,4495,4470,4470,4452,4452,4427,4427,4417,4417,4358,4358,4349,4349,4331,4331,4282,4282,4272,4272,4250,4250,4220,4220,4148,4148,4128,4128,4094,4094,4063,4063,3943,3943,3889,3889,3765,3765,3760,3760,3758,3758,3756,3756,3735,3735,3729,3729,3713,3713,3685,3685,3671,3671,3657,3657,3551,3551,3548,3548,3508,3508,3451,3451,3437,3437,3375,3375,3361,3361,3162,3162,3158,3158,3149,3149,3136,3136,3130,3130,3067,3067,3058,3058,3028,3028,3016,3016,3002,3002,2965,2965,2845,2845,2823,2823,2812,2812,2798,2798,2796,2796,2727,2727,2699,2699,2679,2679,2658,2658,2648,2648,2591,2591,2506,2506,2437,2437,2430,2430,2408,2408,2406,2406,2363,2363,2362,2362,2305,2305,2297,2297,2293,2293,2284,2284,2280,2280,2251,2251,2237,2237,2236,2236,2207,2207,2190,2190,2116,2116,2111,2111,2089,2089,2075,2075,2071,2071,2048,2048,2037,2037,2029,2029,1954,1954,1929,1929,1916,1916,1910,1910,1897,1897,1877,1877,1853,1853,1822,1822,1803,1803,1777,1777,1762,1762,1754,1754,1743,1743,1693,1693,1658,1658,1601,1601,1600,1600,1586,1586,1575,1575,1567,1567,1564,1564,1546,1546,1536,1536,1529,1529,1527,1527,1526,1526,1507,1507,1429,1429,1414,1414,1323,1323,1299,1299,1129,1129,826,826,817,817,763,763,762,762,725,725,706,706,627,627,617,617,556,556,523,523,475,475,430,430,381,381,371,371,368,368,366,366,328,328,202,202,198,198,167,167,150,150,135,135,120,120,90,90,76,76,0.0],[72150,72150,72150,62372,62372,61802,61802,60157,60157,57622,57622,53391,53391,49480,49480,48446,48446,47901,47901,46569,46569,45596,45596,43533,43533,42375,42375,40661,40661,38944,38944,35904,35904,34169,34169,33039,33039,31446,31446,28281,28281,28058,28058,24641,24641,23012,23012,22346,22346,20607,20607,19828,19828,19511,19511,18793,18793,18375,18375,18370,18370,18060,18060,17772,17772,17108,17108,16561,16561,14238,14238,13807,13807,13430,13430,13402,13402,13342,13342,13277,13277,12941,12941,12931,12931,12729,12729,12266,12266,11806,11806,11634,11634,11422,11422,11358,11358,9685,9685,9654,9654,9256,9256,9185,9185,9153,9153,8781,8781,8775,8775,8504,8504,7882,7882,7653,7653,7153,7153,6890,6890,6774,6774,6741,6741,6108,6108,5861,5861,5813,5813,5462,5462,5423,5423,5301,5301,4349,4349,3877,3877,3762,3762,3744,3744,3544,3544,3456,3456,3310,3310,3235,3235,3183,3183,2719,2719,2437,2437,2428,2428,2318,2318,2246,2246,2150,2150,2100,2100,1929,1929,1863,1863,1483,1483,1403,1403,1092,1092,907,907,762,762,676,676,608,608,523,523,433,433,325,325,240,240,236,236,143,143,90,90,0.0],[21163,21163,21163,14113,14113,14009,14009,12611,12611,11793,11793,11483,11483,11327,11327,10623,10623,10574,10574,10364,10364,10189,10189,9144,9144,9134,9134,9079,9079,8951,8951,8777,8777,8756,8756,8683,8683,8274,8274,7765,7765,7702,7702,7664,7664,7588,7588,7385,7385,7347,7347,7269,7269,7263,7263,7155,7155,7148,7148,7131,7131,6834,6834,6779,6779,6774,6774,6738,6738,6686,6686,6662,6662,6654,6654,6622,6622,6510,6510,6375,6375,6361,6361,6283,6283,6269,6269,6253,6253,6161,6161,6016,6016,5907,5907,5892,5892,5834,5834,5720,5720,5688,5688,5658,5658,5648,5648,5621,5621,5567,5567,5508,5508,5477,5477,5463,5463,5445,5445,5414,5414,5406,5406,5354,5354,5337,5337,5276,5276,5213,5213,5205,5205,5193,5193,5184,5184,5157,5157,5152,5152,5094,5094,5069,5069,5036,5036,5016,5016,4920,4920,4917,4917,4916,4916,4888,4888,4840,4840,4831,4831,4827,4827,4826,4826,4818,4818,4800,4800,4740,4740,4696,4696,4675,4675,4659,4659,4598,4598,4590,4590,4584,4584,4560,4560,4554,4554,4530,4530,4465,4465,4460,4460,4459,4459,4433,4433,4423,4423,4415,4415,4402,4402,4401,4401,4335,4335,4288,4288,4238,4238,4221,4221,4209,4209,4202,4202,4184,4184,4162,4162,4159,4159,4086,4086,4080,4080,4041,4041,3956,3956,3947,3947,3865,3865,3801,3801,3792,3792,3790,3790,3678,3678,3674,3674,3635,3635,3631,3631,3621,3621,3585,3585,3563,3563,3531,3531,3524,3524,3514,3514,3508,3508,3497,3497,3469,3469,3456,3456,3452,3452,3445,3445,3374,3374,3371,3371,3298,3298,3283,3283,3282,3282,3268,3268,3242,3242,3223,3223,3213,3213,3181,3181,3173,3173,3163,3163,3158,3158,3141,3141,3136,3136,3110,3110,3095,3095,3083,3083,3075,3075,3058,3058,3056,3056,3013,3013,3007,3007,3005,3005,2997,2997,2945,2945,2944,2944,2933,2933,2931,2931,2900,2900,2850,2850,2831,2831,2821,2821,2817,2817,2808,2808,2799,2799,2786,2786,2776,2776,2756,2756,2754,2754,2747,2747,2743,2743,2730,2730,2727,2727,2722,2722,2719,2719,2705,2705,2687,2687,2623,2623,2620,2620,2608,2608,2605,2605,2599,2599,2596,2596,2583,2583,2539,2539,2536,2536,2532,2532,2531,2531,2468,2468,2466,2466,2460,2460,2459,2459,2445,2445,2433,2433,2416,2416,2395,2395,2384,2384,2381,2381,2379,2379,2357,2357,2346,2346,2343,2343,2335,2335,2328,2328,2315,2315,2304,2304,2302,2302,2269,2269,2260,2260,2258,2258,2250,2250,2199,2199,2198,2198,2192,2192,2172,2172,2161,2161,2160,2160,2157,2157,2156,2156,2153,2153,2150,2150,2137,2137,2110,2110,2102,2102,2100,2100,2098,2098,2097,2097,2095,2095,2092,2092,2083,2083,2074,2074,2058,2058,2050,2050,2041,2041,2040,2040,2039,2039,2038,2038,2034,2034,2030,2030,2024,2024,2019,2019,2005,2005,1998,1998,1991,1991,1982,1982,1966,1966,1963,1963,1950,1950,1942,1942,1941,1941,1925,1925,1921,1921,1919,1919,1910,1910,1901,1901,1898,1898,1884,1884,1883,1883,1879,1879,1875,1875,1870,1870,1869,1869,1851,1851,1841,1841,1839,1839,1826,1826,1825,1825,1817,1817,1808,1808,1802,1802,1788,1788,1781,1781,1770,1770,1768,1768,1760,1760,1740,1740,1722,1722,1716,1716,1714,1714,1708,1708,1697,1697,1694,1694,1687,1687,1685,1685,1683,1683,1675,1675,1673,1673,1665,1665,1662,1662,1658,1658,1653,1653,1650,1650,1644,1644,1640,1640,1634,1634,1628,1628,1616,1616,1596,1596,1585,1585,1579,1579,1578,1578,1570,1570,1554,1554,1518,1518,1514,1514,1508,1508,1506,1506,1419,1419,1417,1417,1397,1397,1366,1366,1348,1348,1196,1196,1122,1122,1023,1023,942,942,891,891,881,881,877,877,649,649,523,523,503,503,387,387,371,371,364,364,356,356,349,349,340,340,315,315,247,247,140,140,65,65,0.0],[55472,55472,55472,50781,50781,46835,46835,43559,43559,40325,40325,39363,39363,38272,38272,37493,37493,35797,35797,33662,33662,28736,28736,28512,28512,27698,27698,25635,25635,24641,24641,24606,24606,24422,24422,23979,23979,23634,23634,22877,22877,21817,21817,21307,21307,18707,18707,18650,18650,18402,18402,17924,17924,17763,17763,17513,17513,17091,17091,16807,16807,14813,14813,14586,14586,14444,14444,14430,14430,13903,13903,13457,13457,13454,13454,13451,13451,13357,13357,13294,13294,12778,12778,12289,12289,12113,12113,11951,11951,11500,11500,11417,11417,11022,11022,10867,10867,10712,10712,9925,9925,9743,9743,9560,9560,9524,9524,9201,9201,9175,9175,8851,8851,8412,8412,8407,8407,8346,8346,8252,8252,8213,8213,8028,8028,8023,8023,7963,7963,7830,7830,7136,7136,6963,6963,6958,6958,6955,6955,6901,6901,6813,6813,6801,6801,6779,6779,6636,6636,6547,6547,6429,6429,6398,6398,6240,6240,6120,6120,6036,6036,5798,5798,5708,5708,5607,5607,5566,5566,5437,5437,5277,5277,5166,5166,4877,4877,4738,4738,4547,4547,4532,4532,4500,4500,4434,4434,4414,4414,4399,4399,4341,4341,4173,4173,4093,4093,4037,4037,3916,3916,3754,3754,3744,3744,3715,3715,3605,3605,3545,3545,3458,3458,3372,3372,3328,3328,3256,3256,3228,3228,3215,3215,3211,3211,3138,3138,3087,3087,3024,3024,3017,3017,2748,2748,2719,2719,2705,2705,2665,2665,2653,2653,2602,2602,2556,2556,2353,2353,2298,2298,2282,2282,2044,2044,2027,2027,2010,2010,1987,1987,1974,1974,1950,1950,1912,1912,1910,1910,1846,1846,1841,1841,1723,1723,1700,1700,1672,1672,1640,1640,1559,1559,1553,1553,1528,1528,1515,1515,1447,1447,1417,1417,1409,1409,1118,1118,1064,1064,957,957,870,870,824,824,802,802,762,762,680,680,661,661,627,627,584,584,568,568,546,546,523,523,371,371,367,367,347,347,328,328,325,325,290,290,269,269,202,202,167,167,143,143,138,138,135,135,120,120,109,109,107,107,106,106,93,93,90,90,82,82,0.0],[21285,21285,21285,20425,20425,18148,18148,17518,17518,15036,15036,15020,15020,14811,14811,14634,14634,14301,14301,13957,13957,13551,13551,13527,13527,13255,13255,13185,13185,13020,13020,12440,12440,12101,12101,11594,11594,11549,11549,10938,10938,10856,10856,10387,10387,10225,10225,10219,10219,9850,9850,9756,9756,9583,9583,9553,9553,9410,9410,9310,9310,9195,9195,9163,9163,9120,9120,9005,9005,8744,8744,8659,8659,8643,8643,8594,8594,8406,8406,8382,8382,8352,8352,8344,8344,8252,8252,8087,8087,7905,7905,7860,7860,7797,7797,7674,7674,7656,7656,7648,7648,7588,7588,7549,7549,7481,7481,7399,7399,7372,7372,7349,7349,7310,7310,7087,7087,7050,7050,6996,6996,6972,6972,6925,6925,6872,6872,6817,6817,6806,6806,6786,6786,6768,6768,6759,6759,6739,6739,6682,6682,6662,6662,6641,6641,6564,6564,6487,6487,6445,6445,6391,6391,6282,6282,6221,6221,6116,6116,5973,5973,5898,5898,5875,5875,5868,5868,5859,5859,5849,5849,5837,5837,5692,5692,5604,5604,5601,5601,5589,5589,5555,5555,5480,5480,5471,5471,5445,5445,5432,5432,5393,5393,5334,5334,5322,5322,5283,5283,5281,5281,5270,5270,5197,5197,5180,5180,5152,5152,5132,5132,5121,5121,5111,5111,5007,5007,4947,4947,4939,4939,4909,4909,4889,4889,4830,4830,4781,4781,4768,4768,4740,4740,4598,4598,4561,4561,4507,4507,4503,4503,4486,4486,4471,4471,4442,4442,4422,4422,4411,4411,4399,4399,4393,4393,4365,4365,4289,4289,4256,4256,4231,4231,4184,4184,4098,4098,4093,4093,4092,4092,4088,4088,4073,4073,4043,4043,4039,4039,4038,4038,3937,3937,3931,3931,3886,3886,3823,3823,3820,3820,3771,3771,3758,3758,3709,3709,3706,3706,3648,3648,3577,3577,3563,3563,3554,3554,3536,3536,3532,3532,3470,3470,3439,3439,3427,3427,3412,3412,3387,3387,3374,3374,3371,3371,3364,3364,3330,3330,3278,3278,3259,3259,3242,3242,3231,3231,3222,3222,3204,3204,3195,3195,3189,3189,3140,3140,3104,3104,3081,3081,3060,3060,3047,3047,3009,3009,3008,3008,3006,3006,2981,2981,2971,2971,2966,2966,2957,2957,2945,2945,2856,2856,2840,2840,2827,2827,2789,2789,2778,2778,2711,2711,2701,2701,2657,2657,2651,2651,2608,2608,2586,2586,2561,2561,2557,2557,2544,2544,2529,2529,2504,2504,2491,2491,2460,2460,2459,2459,2443,2443,2441,2441,2436,2436,2395,2395,2385,2385,2358,2358,2355,2355,2331,2331,2330,2330,2327,2327,2323,2323,2321,2321,2278,2278,2272,2272,2268,2268,2246,2246,2224,2224,2222,2222,2181,2181,2174,2174,2125,2125,2093,2093,2080,2080,2069,2069,2057,2057,2046,2046,2026,2026,2021,2021,1993,1993,1987,1987,1984,1984,1970,1970,1948,1948,1944,1944,1939,1939,1936,1936,1926,1926,1903,1903,1895,1895,1884,1884,1866,1866,1850,1850,1838,1838,1829,1829,1814,1814,1809,1809,1789,1789,1771,1771,1767,1767,1760,1760,1755,1755,1731,1731,1724,1724,1702,1702,1701,1701,1686,1686,1666,1666,1650,1650,1640,1640,1630,1630,1591,1591,1552,1552,1547,1547,1536,1536,1528,1528,1514,1514,1513,1513,1336,1336,1279,1279,924,924,907,907,872,872,870,870,847,847,842,842,740,740,725,725,690,690,523,523,431,431,371,371,217,217,156,156,152,152,139,139,116,116,84,84,0.0],[12110,12110,12110,9439,9439,8113,8113,7759,7759,7698,7698,7178,7178,6838,6838,6794,6794,6760,6760,6589,6589,6486,6486,6055,6055,5974,5974,5967,5967,5948,5948,5739,5739,5676,5676,5621,5621,5569,5569,5552,5552,5551,5551,5541,5541,5503,5503,5480,5480,5464,5464,5429,5429,5266,5266,5242,5242,5232,5232,4986,4986,4968,4968,4940,4940,4830,4830,4813,4813,4756,4756,4741,4741,4732,4732,4694,4694,4605,4605,4553,4553,4498,4498,4487,4487,4469,4469,4303,4303,4286,4286,4263,4263,4259,4259,4256,4256,4249,4249,4248,4248,4099,4099,4090,4090,4060,4060,4047,4047,3980,3980,3976,3976,3933,3933,3889,3889,3872,3872,3852,3852,3792,3792,3787,3787,3771,3771,3728,3728,3710,3710,3699,3699,3683,3683,3599,3599,3567,3567,3559,3559,3547,3547,3538,3538,3485,3485,3472,3472,3458,3458,3455,3455,3408,3408,3405,3405,3397,3397,3371,3371,3367,3367,3298,3298,3273,3273,3271,3271,3261,3261,3228,3228,3223,3223,3217,3217,3203,3203,3182,3182,3174,3174,3163,3163,3157,3157,3145,3145,3139,3139,3107,3107,3104,3104,3092,3092,3072,3072,3038,3038,3029,3029,3024,3024,3019,3019,3004,3004,2977,2977,2974,2974,2973,2973,2957,2957,2950,2950,2942,2942,2938,2938,2928,2928,2927,2927,2920,2920,2908,2908,2906,2906,2901,2901,2897,2897,2888,2888,2869,2869,2868,2868,2865,2865,2863,2863,2859,2859,2833,2833,2795,2795,2785,2785,2743,2743,2734,2734,2732,2732,2710,2710,2692,2692,2691,2691,2668,2668,2646,2646,2645,2645,2639,2639,2633,2633,2616,2616,2589,2589,2582,2582,2555,2555,2554,2554,2553,2553,2546,2546,2537,2537,2535,2535,2510,2510,2492,2492,2489,2489,2485,2485,2471,2471,2466,2466,2454,2454,2449,2449,2448,2448,2431,2431,2430,2430,2422,2422,2405,2405,2397,2397,2393,2393,2375,2375,2357,2357,2347,2347,2346,2346,2344,2344,2341,2341,2335,2335,2334,2334,2332,2332,2326,2326,2320,2320,2314,2314,2310,2310,2309,2309,2299,2299,2271,2271,2265,2265,2256,2256,2254,2254,2234,2234,2230,2230,2227,2227,2226,2226,2220,2220,2215,2215,2210,2210,2201,2201,2190,2190,2182,2182,2181,2181,2174,2174,2163,2163,2161,2161,2160,2160,2155,2155,2143,2143,2141,2141,2135,2135,2127,2127,2119,2119,2113,2113,2108,2108,2100,2100,2094,2094,2091,2091,2087,2087,2083,2083,2081,2081,2073,2073,2068,2068,2036,2036,2035,2035,2024,2024,2017,2017,1996,1996,1992,1992,1991,1991,1983,1983,1978,1978,1975,1975,1973,1973,1959,1959,1945,1945,1944,1944,1943,1943,1925,1925,1924,1924,1905,1905,1902,1902,1892,1892,1887,1887,1885,1885,1883,1883,1881,1881,1870,1870,1858,1858,1855,1855,1850,1850,1849,1849,1847,1847,1845,1845,1841,1841,1835,1835,1830,1830,1828,1828,1823,1823,1815,1815,1805,1805,1800,1800,1794,1794,1785,1785,1772,1772,1762,1762,1759,1759,1757,1757,1753,1753,1752,1752,1751,1751,1745,1745,1742,1742,1741,1741,1740,1740,1734,1734,1732,1732,1708,1708,1707,1707,1706,1706,1704,1704,1690,1690,1689,1689,1687,1687,1680,1680,1679,1679,1675,1675,1672,1672,1669,1669,1665,1665,1663,1663,1662,1662,1652,1652,1650,1650,1646,1646,1642,1642,1638,1638,1618,1618,1615,1615,1611,1611,1608,1608,1603,1603,1602,1602,1601,1601,1599,1599,1592,1592,1590,1590,1589,1589,1588,1588,1583,1583,1582,1582,1570,1570,1562,1562,1551,1551,1550,1550,1547,1547,1545,1545,1542,1542,1541,1541,1540,1540,1530,1530,1528,1528,1522,1522,1514,1514,1500,1500,1499,1499,1493,1493,1492,1492,1490,1490,1484,1484,1471,1471,1469,1469,1467,1467,1466,1466,1461,1461,1457,1457,1454,1454,1448,1448,1436,1436,1352,1352,1238,1238,650,650,534,534,141,141,0.0],[57258,57258,57258,54411,54411,46371,46371,40068,40068,37877,37877,36178,36178,33940,33940,31037,31037,24490,24490,23233,23233,23193,23193,23125,23125,23097,23097,20430,20430,19548,19548,19382,19382,19366,19366,18737,18737,18716,18716,17705,17705,16514,16514,16067,16067,15869,15869,15855,15855,15676,15676,15650,15650,15158,15158,13712,13712,13526,13526,13291,13291,13082,13082,12261,12261,12056,12056,12012,12012,11792,11792,11455,11455,11357,11357,11260,11260,11093,11093,10811,10811,10714,10714,10605,10605,10431,10431,10049,10049,10023,10023,9972,9972,9761,9761,9463,9463,9349,9349,8924,8924,8904,8904,8764,8764,8492,8492,8444,8444,8404,8404,8223,8223,8124,8124,8028,8028,8009,8009,8000,8000,7909,7909,7819,7819,7781,7781,7744,7744,7313,7313,7262,7262,7208,7208,7197,7197,7154,7154,7151,7151,6888,6888,6603,6603,6570,6570,6503,6503,6483,6483,6378,6378,6180,6180,6128,6128,6108,6108,5952,5952,5879,5879,5827,5827,5576,5576,5192,5192,5054,5054,4790,4790,4750,4750,4745,4745,4739,4739,4694,4694,4598,4598,4522,4522,4401,4401,4369,4369,4314,4314,4309,4309,4187,4187,4160,4160,4125,4125,4048,4048,3991,3991,3916,3916,3891,3891,3864,3864,3719,3719,3479,3479,3431,3431,3370,3370,3355,3355,3306,3306,3215,3215,3181,3181,3088,3088,3073,3073,3063,3063,3034,3034,2879,2879,2873,2873,2860,2860,2753,2753,2745,2745,2716,2716,2708,2708,2688,2688,2685,2685,2652,2652,2627,2627,2608,2608,2584,2584,2444,2444,2436,2436,2415,2415,2351,2351,2270,2270,2088,2088,2056,2056,2020,2020,1955,1955,1933,1933,1882,1882,1879,1879,1848,1848,1751,1751,1747,1747,1715,1715,1692,1692,1668,1668,1660,1660,1615,1615,1599,1599,1592,1592,1513,1513,1473,1473,1427,1427,1355,1355,1353,1353,1305,1305,1291,1291,1286,1286,1090,1090,1051,1051,1001,1001,730,730,581,581,196,196,0.0],[8911,8911,8911,8191,8191,6650,6650,6161,6161,6051,6051,5877,5877,5744,5744,5367,5367,5272,5272,5253,5253,5167,5167,5056,5056,4988,4988,4712,4712,4694,4694,4630,4630,4629,4629,4475,4475,4338,4338,4257,4257,4240,4240,4198,4198,4185,4185,4181,4181,4174,4174,4172,4172,4168,4168,4159,4159,4110,4110,4065,4065,3990,3990,3940,3940,3927,3927,3879,3879,3850,3850,3812,3812,3750,3750,3714,3714,3691,3691,3690,3690,3686,3686,3673,3673,3587,3587,3562,3562,3536,3536,3514,3514,3469,3469,3464,3464,3459,3459,3448,3448,3422,3422,3412,3412,3361,3361,3354,3354,3351,3351,3282,3282,3256,3256,3246,3246,3241,3241,3230,3230,3171,3171,3153,3153,3144,3144,3143,3143,3130,3130,3129,3129,3111,3111,3101,3101,3073,3073,3056,3056,3009,3009,2996,2996,2975,2975,2970,2970,2907,2907,2889,2889,2885,2885,2882,2882,2879,2879,2872,2872,2851,2851,2844,2844,2837,2837,2826,2826,2819,2819,2813,2813,2806,2806,2804,2804,2800,2800,2786,2786,2777,2777,2771,2771,2765,2765,2743,2743,2730,2730,2728,2728,2724,2724,2723,2723,2713,2713,2700,2700,2690,2690,2675,2675,2652,2652,2648,2648,2626,2626,2591,2591,2576,2576,2557,2557,2550,2550,2523,2523,2521,2521,2520,2520,2496,2496,2488,2488,2482,2482,2475,2475,2467,2467,2459,2459,2442,2442,2430,2430,2407,2407,2403,2403,2396,2396,2386,2386,2374,2374,2360,2360,2356,2356,2352,2352,2350,2350,2348,2348,2334,2334,2333,2333,2329,2329,2327,2327,2322,2322,2320,2320,2318,2318,2308,2308,2305,2305,2303,2303,2296,2296,2294,2294,2285,2285,2283,2283,2282,2282,2272,2272,2267,2267,2247,2247,2234,2234,2198,2198,2176,2176,2170,2170,2162,2162,2159,2159,2155,2155,2154,2154,2152,2152,2139,2139,2131,2131,2125,2125,2124,2124,2123,2123,2119,2119,2109,2109,2107,2107,2095,2095,2093,2093,2087,2087,2079,2079,2078,2078,2076,2076,2072,2072,2071,2071,2061,2061,2058,2058,2055,2055,2053,2053,2051,2051,2042,2042,2039,2039,2036,2036,2024,2024,2023,2023,2022,2022,2020,2020,2018,2018,2016,2016,2012,2012,2010,2010,1996,1996,1991,1991,1983,1983,1971,1971,1956,1956,1955,1955,1946,1946,1936,1936,1934,1934,1919,1919,1908,1908,1899,1899,1892,1892,1884,1884,1878,1878,1875,1875,1869,1869,1866,1866,1855,1855,1852,1852,1848,1848,1842,1842,1832,1832,1828,1828,1822,1822,1814,1814,1811,1811,1807,1807,1806,1806,1800,1800,1799,1799,1797,1797,1795,1795,1794,1794,1793,1793,1792,1792,1789,1789,1781,1781,1777,1777,1776,1776,1774,1774,1771,1771,1764,1764,1755,1755,1750,1750,1744,1744,1731,1731,1730,1730,1720,1720,1719,1719,1717,1717,1716,1716,1711,1711,1710,1710,1709,1709,1706,1706,1705,1705,1702,1702,1701,1701,1693,1693,1692,1692,1691,1691,1683,1683,1681,1681,1679,1679,1677,1677,1669,1669,1666,1666,1665,1665,1663,1663,1661,1661,1653,1653,1648,1648,1638,1638,1636,1636,1635,1635,1630,1630,1629,1629,1627,1627,1626,1626,1624,1624,1620,1620,1618,1618,1616,1616,1601,1601,1595,1595,1594,1594,1589,1589,1586,1586,1581,1581,1574,1574,1567,1567,1562,1562,1561,1561,1560,1560,1559,1559,1557,1557,1552,1552,1549,1549,1543,1543,1541,1541,1537,1537,1535,1535,1534,1534,1532,1532,1528,1528,1519,1519,1518,1518,1511,1511,1508,1508,1502,1502,1500,1500,1490,1490,0.0],[178166,178166,178166,162813,162813,154047,154047,135418,135418,119694,119694,105726,105726,92382,92382,79930,79930,72831,72831,60158,60158,46192,46192,44113,44113,24677,24677,24643,24643,23718,23718,22032,22032,13776,13776,13603,13603,10751,10751,8829,8829,5931,5931,0.0],[10108,10108,10108,9762,9762,9484,9484,9321,9321,8699,8699,8476,8476,8160,8160,7861,7861,7779,7779,7722,7722,7632,7632,7582,7582,7190,7190,6812,6812,6796,6796,6429,6429,6387,6387,6284,6284,6181,6181,6038,6038,5814,5814,5782,5782,5741,5741,5683,5683,5531,5531,5467,5467,5441,5441,5290,5290,5265,5265,5249,5249,5199,5199,5189,5189,5179,5179,4977,4977,4927,4927,4918,4918,4856,4856,4796,4796,4757,4757,4732,4732,4711,4711,4663,4663,4592,4592,4577,4577,4554,4554,4482,4482,4450,4450,4442,4442,4421,4421,4415,4415,4382,4382,4373,4373,4352,4352,4320,4320,4284,4284,4273,4273,4248,4248,4243,4243,4216,4216,4199,4199,4172,4172,4153,4153,4142,4142,4137,4137,4126,4126,4113,4113,4082,4082,4075,4075,3953,3953,3945,3945,3930,3930,3913,3913,3894,3894,3892,3892,3885,3885,3856,3856,3806,3806,3799,3799,3779,3779,3754,3754,3718,3718,3715,3715,3714,3714,3703,3703,3682,3682,3661,3661,3612,3612,3560,3560,3550,3550,3544,3544,3521,3521,3509,3509,3485,3485,3436,3436,3426,3426,3415,3415,3413,3413,3385,3385,3367,3367,3340,3340,3250,3250,3245,3245,3169,3169,3110,3110,3082,3082,3069,3069,3058,3058,3031,3031,3019,3019,3017,3017,3006,3006,2955,2955,2951,2951,2950,2950,2923,2923,2919,2919,2913,2913,2897,2897,2890,2890,2879,2879,2878,2878,2859,2859,2854,2854,2845,2845,2844,2844,2840,2840,2838,2838,2829,2829,2814,2814,2812,2812,2795,2795,2787,2787,2781,2781,2778,2778,2777,2777,2765,2765,2764,2764,2742,2742,2741,2741,2734,2734,2719,2719,2716,2716,2710,2710,2698,2698,2687,2687,2682,2682,2675,2675,2669,2669,2654,2654,2634,2634,2631,2631,2617,2617,2600,2600,2595,2595,2580,2580,2578,2578,2577,2577,2575,2575,2571,2571,2565,2565,2564,2564,2563,2563,2551,2551,2546,2546,2539,2539,2528,2528,2506,2506,2503,2503,2500,2500,2497,2497,2472,2472,2471,2471,2466,2466,2449,2449,2436,2436,2427,2427,2423,2423,2415,2415,2408,2408,2406,2406,2394,2394,2386,2386,2385,2385,2372,2372,2371,2371,2369,2369,2354,2354,2334,2334,2321,2321,2320,2320,2319,2319,2314,2314,2302,2302,2286,2286,2268,2268,2257,2257,2255,2255,2250,2250,2249,2249,2245,2245,2230,2230,2222,2222,2219,2219,2213,2213,2210,2210,2208,2208,2200,2200,2193,2193,2191,2191,2188,2188,2184,2184,2170,2170,2169,2169,2166,2166,2155,2155,2148,2148,2146,2146,2143,2143,2141,2141,2140,2140,2130,2130,2126,2126,2117,2117,2107,2107,2098,2098,2086,2086,2084,2084,2080,2080,2079,2079,2078,2078,2075,2075,2074,2074,2072,2072,2065,2065,2056,2056,2055,2055,2032,2032,2015,2015,2012,2012,2010,2010,2009,2009,2008,2008,2000,2000,1996,1996,1992,1992,1973,1973,1970,1970,1968,1968,1967,1967,1965,1965,1956,1956,1948,1948,1946,1946,1945,1945,1942,1942,1934,1934,1932,1932,1931,1931,1925,1925,1920,1920,1913,1913,1912,1912,1909,1909,1907,1907,1902,1902,1886,1886,1881,1881,1875,1875,1872,1872,1858,1858,1851,1851,1847,1847,1845,1845,1842,1842,1840,1840,1832,1832,1823,1823,1813,1813,1812,1812,1811,1811,1809,1809,1808,1808,1803,1803,1802,1802,1800,1800,1793,1793,1782,1782,1777,1777,1774,1774,1773,1773,1769,1769,1768,1768,1766,1766,1759,1759,1738,1738,1737,1737,1734,1734,1732,1732,1728,1728,1727,1727,1726,1726,1724,1724,1719,1719,1710,1710,1698,1698,1695,1695,1692,1692,1686,1686,1682,1682,1681,1681,1675,1675,1670,1670,1668,1668,1661,1661,1659,1659,1657,1657,1656,1656,1654,1654,1650,1650,1637,1637,1625,1625,1624,1624,1620,1620,1610,1610,1608,1608,1606,1606,1598,1598,1575,1575,1573,1573,1568,1568,1566,1566,1558,1558,1554,1554,1553,1553,1546,1546,1542,1542,1538,1538,1536,1536,1528,1528,1521,1521,1520,1520,1515,1515,1511,1511,1510,1510,1507,1507,1504,1504,1487,1487,1448,1448,1263,1263,905,905,667,667,429,429,207,207,0.0],[12322,12322,12322,10484,10484,9336,9336,9097,9097,9064,9064,8542,8542,8370,8370,8294,8294,8201,8201,7973,7973,7901,7901,7485,7485,7392,7392,7387,7387,7351,7351,7028,7028,6926,6926,6879,6879,6821,6821,6817,6817,6807,6807,6717,6717,6635,6635,6627,6627,6485,6485,6248,6248,6228,6228,6133,6133,6037,6037,5930,5930,5889,5889,5766,5766,5722,5722,5698,5698,5594,5594,5368,5368,5304,5304,5230,5230,5176,5176,5033,5033,5017,5017,4990,4990,4987,4987,4976,4976,4972,4972,4965,4965,4909,4909,4887,4887,4732,4732,4683,4683,4664,4664,4597,4597,4568,4568,4497,4497,4491,4491,4467,4467,4466,4466,4427,4427,4426,4426,4424,4424,4378,4378,4371,4371,4362,4362,4354,4354,4320,4320,4314,4314,4306,4306,4305,4305,4275,4275,4264,4264,4251,4251,4209,4209,4155,4155,4113,4113,4100,4100,4078,4078,4049,4049,4025,4025,4005,4005,4001,4001,3995,3995,3919,3919,3898,3898,3878,3878,3818,3818,3806,3806,3773,3773,3758,3758,3757,3757,3747,3747,3744,3744,3733,3733,3728,3728,3711,3711,3709,3709,3697,3697,3666,3666,3652,3652,3608,3608,3560,3560,3554,3554,3510,3510,3503,3503,3492,3492,3473,3473,3461,3461,3450,3450,3438,3438,3430,3430,3375,3375,3347,3347,3326,3326,3316,3316,3307,3307,3305,3305,3270,3270,3255,3255,3253,3253,3232,3232,3227,3227,3221,3221,3218,3218,3204,3204,3201,3201,3195,3195,3188,3188,3177,3177,3171,3171,3160,3160,3152,3152,3148,3148,3131,3131,3129,3129,3123,3123,3109,3109,3088,3088,3075,3075,3065,3065,3055,3055,3035,3035,3030,3030,3024,3024,3009,3009,2998,2998,2994,2994,2977,2977,2962,2962,2941,2941,2934,2934,2918,2918,2902,2902,2898,2898,2895,2895,2883,2883,2879,2879,2877,2877,2873,2873,2864,2864,2853,2853,2842,2842,2838,2838,2821,2821,2818,2818,2811,2811,2800,2800,2798,2798,2787,2787,2765,2765,2759,2759,2755,2755,2751,2751,2746,2746,2743,2743,2716,2716,2704,2704,2699,2699,2689,2689,2680,2680,2673,2673,2670,2670,2667,2667,2662,2662,2654,2654,2653,2653,2619,2619,2615,2615,2606,2606,2603,2603,2586,2586,2552,2552,2551,2551,2545,2545,2530,2530,2526,2526,2521,2521,2511,2511,2507,2507,2500,2500,2498,2498,2492,2492,2490,2490,2480,2480,2471,2471,2468,2468,2425,2425,2409,2409,2399,2399,2389,2389,2388,2388,2386,2386,2371,2371,2370,2370,2361,2361,2346,2346,2339,2339,2336,2336,2328,2328,2322,2322,2321,2321,2317,2317,2315,2315,2309,2309,2298,2298,2276,2276,2274,2274,2241,2241,2233,2233,2222,2222,2220,2220,2211,2211,2203,2203,2199,2199,2198,2198,2196,2196,2191,2191,2186,2186,2182,2182,2181,2181,2169,2169,2150,2150,2137,2137,2130,2130,2127,2127,2125,2125,2115,2115,2106,2106,2102,2102,2096,2096,2094,2094,2082,2082,2068,2068,2060,2060,2059,2059,2052,2052,2032,2032,2030,2030,2027,2027,2017,2017,2015,2015,2012,2012,2010,2010,1997,1997,1988,1988,1968,1968,1960,1960,1959,1959,1956,1956,1949,1949,1940,1940,1931,1931,1928,1928,1924,1924,1923,1923,1904,1904,1889,1889,1886,1886,1885,1885,1884,1884,1883,1883,1880,1880,1874,1874,1869,1869,1867,1867,1864,1864,1863,1863,1862,1862,1831,1831,1823,1823,1822,1822,1821,1821,1818,1818,1812,1812,1811,1811,1805,1805,1804,1804,1803,1803,1802,1802,1797,1797,1795,1795,1791,1791,1782,1782,1772,1772,1771,1771,1770,1770,1763,1763,1762,1762,1750,1750,1731,1731,1721,1721,1715,1715,1684,1684,1682,1682,1680,1680,1679,1679,1675,1675,1671,1671,1665,1665,1661,1661,1659,1659,1655,1655,1647,1647,1644,1644,1643,1643,1639,1639,1637,1637,1635,1635,1633,1633,1632,1632,1619,1619,1618,1618,1616,1616,1612,1612,1610,1610,1592,1592,1588,1588,1580,1580,1576,1576,1572,1572,1571,1571,1566,1566,1558,1558,1557,1557,1552,1552,1546,1546,1544,1544,1542,1542,1541,1541,1537,1537,1535,1535,1527,1527,1525,1525,1524,1524,1521,1521,1505,1505,1504,1504,1503,1503,1392,1392,1194,1194,1041,1041,555,555,284,284,0.0],[76340,76340,76340,47152,47152,46986,46986,45474,45474,40683,40683,40526,40526,37757,37757,34977,34977,30831,30831,28728,28728,28164,28164,27579,27579,26035,26035,25694,25694,24462,24462,24432,24432,22865,22865,22051,22051,21986,21986,21819,21819,20704,20704,20265,20265,20091,20091,19824,19824,19404,19404,18928,18928,18476,18476,18281,18281,18143,18143,18063,18063,17390,17390,17348,17348,16169,16169,15968,15968,15672,15672,15375,15375,15014,15014,14167,14167,13886,13886,13585,13585,13476,13476,13341,13341,13017,13017,12915,12915,12747,12747,12724,12724,12266,12266,11856,11856,11824,11824,11821,11821,11670,11670,11326,11326,11055,11055,10633,10633,10582,10582,10503,10503,10403,10403,10390,10390,10206,10206,10053,10053,9899,9899,9611,9611,9578,9578,9550,9550,9501,9501,9351,9351,9245,9245,9207,9207,9180,9180,9016,9016,8895,8895,8585,8585,8462,8462,8456,8456,8334,8334,8056,8056,8042,8042,7961,7961,7470,7470,7337,7337,7280,7280,7256,7256,6970,6970,6957,6957,6821,6821,6642,6642,6519,6519,6455,6455,6401,6401,6376,6376,6304,6304,6175,6175,6058,6058,6045,6045,5977,5977,5775,5775,5722,5722,5650,5650,5625,5625,5568,5568,5513,5513,5450,5450,5244,5244,5180,5180,5102,5102,4787,4787,4520,4520,4450,4450,4349,4349,4300,4300,4286,4286,4224,4224,4165,4165,4056,4056,4027,4027,4004,4004,3804,3804,3780,3780,3725,3725,3623,3623,3616,3616,3411,3411,3396,3396,3327,3327,3258,3258,3186,3186,3101,3101,3028,3028,3026,3026,2987,2987,2924,2924,2750,2750,2735,2735,2717,2717,2704,2704,2647,2647,2531,2531,2501,2501,2484,2484,2460,2460,2374,2374,2332,2332,2189,2189,2126,2126,2084,2084,2051,2051,2035,2035,1992,1992,1960,1960,1943,1943,1654,1654,1529,1529,1503,1503,647,647,557,557,0.0],[270436,270436,270436,179122,179122,163883,163883,162822,162822,135427,135427,105701,105701,100565,100565,92969,92969,82292,82292,79930,79930,76392,76392,60157,60157,58769,58769,43031,43031,31418,31418,27333,27333,24645,24645,21485,21485,14047,14047,13602,13602,13120,13120,10702,10702,5625,5625,2986,2986,2249,2249,1864,1864,0.0],[89172,89172,89172,62522,62522,60141,60141,59022,59022,52588,52588,50389,50389,46585,46585,45589,45589,37222,37222,35657,35657,35092,35092,33953,33953,32847,32847,32791,32791,30928,30928,30697,30697,29999,29999,25139,25139,24266,24266,23460,23460,22688,22688,20939,20939,20457,20457,20060,20060,20044,20044,19203,19203,18861,18861,17839,17839,17689,17689,17618,17618,16898,16898,16701,16701,16651,16651,16335,16335,14680,14680,14405,14405,13634,13634,13256,13256,13003,13003,12960,12960,12454,12454,12125,12125,11629,11629,11393,11393,11384,11384,11309,11309,11240,11240,10860,10860,10506,10506,10455,10455,9836,9836,9557,9557,8914,8914,8741,8741,8373,8373,7880,7880,7828,7828,7677,7677,7441,7441,7377,7377,7370,7370,7230,7230,7055,7055,6923,6923,6295,6295,5977,5977,5965,5965,5813,5813,5601,5601,5333,5333,4947,4947,4815,4815,4777,4777,4629,4629,4283,4283,4144,4144,4048,4048,3949,3949,3119,3119,2962,2962,2924,2924,2921,2921,2858,2858,2684,2684,2643,2643,2546,2546,2514,2514,2365,2365,2050,2050,1991,1991,1983,1983,1945,1945,1885,1885,1845,1845,1775,1775,1688,1688,1645,1645,1634,1634,1575,1575,1521,1521,1516,1516,1463,1463,1189,1189,1025,1025,898,898,836,836,719,719,662,662,622,622,619,619,501,501,420,420,394,394,348,348,0.0],[27853,27853,27853,24472,24472,23393,23393,22318,22318,22128,22128,20829,20829,20292,20292,19403,19403,19132,19132,17637,17637,17371,17371,17275,17275,16247,16247,15631,15631,14972,14972,14513,14513,13930,13930,13141,13141,12934,12934,12830,12830,12565,12565,12241,12241,12102,12102,12012,12012,11831,11831,11694,11694,11626,11626,11243,11243,11182,11182,11062,11062,10768,10768,10706,10706,10600,10600,10524,10524,10475,10475,10303,10303,10181,10181,10104,10104,10101,10101,9994,9994,9973,9973,9889,9889,9697,9697,9442,9442,9101,9101,9073,9073,9015,9015,8958,8958,8888,8888,8665,8665,8644,8644,8634,8634,8620,8620,8223,8223,8153,8153,8015,8015,7816,7816,7797,7797,7795,7795,7718,7718,7664,7664,7511,7511,7407,7407,7390,7390,7301,7301,7081,7081,7049,7049,6987,6987,6925,6925,6893,6893,6853,6853,6469,6469,6241,6241,6020,6020,5999,5999,5883,5883,5867,5867,5865,5865,5842,5842,5826,5826,5795,5795,5770,5770,5741,5741,5709,5709,5665,5665,5513,5513,5505,5505,5497,5497,5452,5452,5404,5404,5337,5337,5309,5309,5303,5303,5275,5275,5163,5163,5123,5123,5079,5079,5076,5076,5072,5072,4986,4986,4959,4959,4937,4937,4901,4901,4874,4874,4849,4849,4819,4819,4808,4808,4800,4800,4777,4777,4636,4636,4617,4617,4615,4615,4543,4543,4517,4517,4500,4500,4419,4419,4375,4375,4321,4321,4316,4316,4308,4308,4302,4302,4246,4246,4200,4200,4181,4181,4113,4113,4088,4088,4022,4022,4020,4020,3976,3976,3953,3953,3925,3925,3912,3912,3818,3818,3762,3762,3658,3658,3625,3625,3598,3598,3537,3537,3520,3520,3518,3518,3508,3508,3492,3492,3474,3474,3472,3472,3438,3438,3437,3437,3436,3436,3418,3418,3401,3401,3336,3336,3278,3278,3277,3277,3270,3270,3249,3249,3224,3224,3190,3190,3162,3162,3142,3142,3112,3112,3095,3095,3084,3084,3079,3079,3040,3040,3034,3034,3027,3027,3001,3001,2993,2993,2981,2981,2955,2955,2896,2896,2874,2874,2860,2860,2853,2853,2842,2842,2811,2811,2805,2805,2773,2773,2772,2772,2753,2753,2734,2734,2731,2731,2708,2708,2657,2657,2630,2630,2581,2581,2568,2568,2563,2563,2559,2559,2536,2536,2533,2533,2454,2454,2447,2447,2439,2439,2391,2391,2357,2357,2335,2335,2327,2327,2322,2322,2315,2315,2308,2308,2301,2301,2298,2298,2276,2276,2165,2165,2157,2157,2151,2151,2130,2130,2057,2057,2040,2040,2039,2039,2016,2016,1961,1961,1945,1945,1909,1909,1906,1906,1866,1866,1851,1851,1830,1830,1821,1821,1803,1803,1779,1779,1748,1748,1706,1706,1695,1695,1691,1691,1671,1671,1653,1653,1645,1645,1636,1636,1608,1608,1606,1606,1600,1600,1595,1595,1575,1575,1553,1553,1535,1535,1534,1534,1528,1528,1334,1334,1253,1253,1190,1190,1140,1140,1029,1029,955,955,829,829,440,440,413,413,303,303,302,302,300,300,294,294,112,112,110,110,0.0],[27479,27479,27479,14928,14928,12875,12875,12175,12175,11817,11817,10866,10866,10663,10663,10535,10535,10516,10516,10202,10202,10041,10041,9830,9830,9706,9706,9679,9679,9606,9606,9193,9193,9184,9184,8653,8653,8536,8536,8319,8319,8295,8295,8128,8128,8126,8126,8125,8125,7584,7584,7461,7461,7448,7448,7354,7354,7313,7313,7187,7187,7135,7135,7130,7130,7107,7107,7043,7043,7038,7038,7002,7002,6945,6945,6874,6874,6732,6732,6672,6672,6654,6654,6526,6526,6506,6506,6456,6456,6385,6385,6260,6260,6175,6175,6140,6140,6128,6128,6092,6092,6087,6087,6077,6077,6007,6007,5999,5999,5909,5909,5870,5870,5827,5827,5802,5802,5790,5790,5737,5737,5730,5730,5663,5663,5622,5622,5610,5610,5592,5592,5583,5583,5522,5522,5408,5408,5391,5391,5330,5330,5305,5305,5257,5257,5237,5237,5169,5169,5156,5156,5146,5146,5093,5093,5071,5071,5036,5036,4970,4970,4925,4925,4912,4912,4911,4911,4906,4906,4698,4698,4595,4595,4594,4594,4566,4566,4546,4546,4536,4536,4511,4511,4504,4504,4447,4447,4440,4440,4412,4412,4411,4411,4403,4403,4341,4341,4325,4325,4299,4299,4273,4273,4243,4243,4228,4228,4203,4203,4194,4194,4164,4164,4121,4121,4119,4119,4099,4099,4043,4043,4020,4020,4017,4017,4013,4013,4008,4008,3986,3986,3971,3971,3938,3938,3937,3937,3930,3930,3908,3908,3904,3904,3834,3834,3812,3812,3773,3773,3766,3766,3740,3740,3706,3706,3700,3700,3686,3686,3668,3668,3651,3651,3607,3607,3594,3594,3583,3583,3578,3578,3547,3547,3538,3538,3525,3525,3509,3509,3508,3508,3502,3502,3499,3499,3492,3492,3479,3479,3471,3471,3446,3446,3419,3419,3416,3416,3375,3375,3374,3374,3368,3368,3361,3361,3353,3353,3336,3336,3235,3235,3194,3194,3192,3192,3175,3175,3140,3140,3133,3133,3116,3116,3080,3080,3015,3015,3010,3010,3002,3002,2992,2992,2982,2982,2947,2947,2935,2935,2934,2934,2920,2920,2907,2907,2873,2873,2872,2872,2865,2865,2859,2859,2826,2826,2819,2819,2805,2805,2801,2801,2797,2797,2795,2795,2790,2790,2788,2788,2787,2787,2768,2768,2752,2752,2737,2737,2724,2724,2722,2722,2713,2713,2707,2707,2693,2693,2690,2690,2676,2676,2671,2671,2663,2663,2653,2653,2650,2650,2646,2646,2642,2642,2621,2621,2607,2607,2604,2604,2584,2584,2567,2567,2564,2564,2562,2562,2561,2561,2545,2545,2542,2542,2518,2518,2508,2508,2506,2506,2493,2493,2475,2475,2435,2435,2406,2406,2399,2399,2395,2395,2393,2393,2388,2388,2387,2387,2383,2383,2366,2366,2359,2359,2355,2355,2354,2354,2350,2350,2339,2339,2329,2329,2327,2327,2319,2319,2317,2317,2310,2310,2305,2305,2302,2302,2301,2301,2281,2281,2274,2274,2266,2266,2254,2254,2248,2248,2212,2212,2211,2211,2209,2209,2208,2208,2205,2205,2203,2203,2175,2175,2162,2162,2150,2150,2147,2147,2108,2108,2077,2077,2076,2076,2072,2072,2060,2060,2031,2031,2029,2029,2018,2018,2017,2017,2016,2016,2004,2004,2000,2000,1994,1994,1986,1986,1985,1985,1979,1979,1959,1959,1949,1949,1947,1947,1940,1940,1939,1939,1936,1936,1931,1931,1929,1929,1920,1920,1916,1916,1914,1914,1901,1901,1882,1882,1833,1833,1819,1819,1818,1818,1814,1814,1791,1791,1787,1787,1773,1773,1770,1770,1762,1762,1758,1758,1756,1756,1754,1754,1731,1731,1711,1711,1699,1699,1688,1688,1676,1676,1663,1663,1661,1661,1650,1650,1644,1644,1642,1642,1639,1639,1627,1627,1612,1612,1610,1610,1608,1608,1599,1599,1598,1598,1595,1595,1577,1577,1565,1565,1564,1564,1545,1545,1531,1531,1517,1517,1508,1508,1507,1507,1502,1502,1491,1491,1466,1466,1445,1445,1431,1431,1425,1425,1415,1415,1397,1397,1390,1390,1357,1357,1271,1271,1236,1236,1187,1187,1176,1176,1153,1153,1004,1004,998,998,905,905,896,896,839,839,786,786,780,780,729,729,675,675,617,617,300,300,205,205,105,105,0.0],[224363,224363,224363,178747,178747,175498,175498,125447,125447,117786,117786,74136,74136,59825,59825,54243,54243,53633,53633,51879,51879,48521,48521,37804,37804,36522,36522,35375,35375,32948,32948,27302,27302,26052,26052,24643,24643,19244,19244,18031,18031,17409,17409,13475,13475,13247,13247,12124,12124,10658,10658,10492,10492,9557,9557,7677,7677,7055,7055,5877,5877,5501,5501,5427,5427,4778,4778,3675,3675,3656,3656,3503,3503,3002,3002,2977,2977,2961,2961,2890,2890,2623,2623,2610,2610,2003,2003,1906,1906,1705,1705,1691,1691,1688,1688,1634,1634,1390,1390,1033,1033,942,942,920,920,831,831,617,617,437,437,169,169,66,66,0.0],[125447,125447,125447,122603,122603,100734,100734,91891,91891,91451,91451,59022,59022,54401,54401,54243,54243,51878,51878,46585,46585,46387,46387,40789,40789,39440,39440,32390,32390,30928,30928,26962,26962,26781,26781,26053,26053,25676,25676,24642,24642,22831,22831,22653,22653,22592,22592,21591,21591,20841,20841,20796,20796,19923,19923,19239,19239,18567,18567,16700,16700,15534,15534,15104,15104,14119,14119,13475,13475,13256,13256,12923,12923,12125,12125,11195,11195,10500,10500,10446,10446,10142,10142,7993,7993,7925,7925,7677,7677,7055,7055,5427,5427,4777,4777,4642,4642,4476,4476,3674,3674,3291,3291,3001,3001,2962,2962,2929,2929,2733,2733,2659,2659,2610,2610,2576,2576,2568,2568,2370,2370,2072,2072,2003,2003,1828,1828,1688,1688,1642,1642,1634,1634,1619,1619,1592,1592,1574,1574,1521,1521,1386,1386,1189,1189,872,872,253,253,185,185,99,99,88,88,0.0],[187321,187321,187321,178766,178766,129101,129101,125447,125447,117786,117786,79247,79247,74137,74137,59835,59835,54407,54407,54243,54243,46665,46665,46586,46586,37805,37805,36042,36042,35373,35373,33755,33755,32948,32948,24643,24643,19244,19244,18033,18033,16702,16702,13475,13475,13247,13247,12103,12103,10765,10765,10492,10492,9557,9557,7677,7677,7055,7055,6773,6773,5427,5427,4777,4777,3675,3675,3656,3656,2961,2961,2610,2610,2003,2003,1705,1705,1691,1691,1634,1634,1029,1029,872,872,812,812,445,445,302,302,230,230,167,167,136,136,103,103,101,101,95,95,66,66,0.0]],"filenames":["extra_ERR1806394.25","extra_SRR2174313.4","extra_SRR2174314.14","extra_SRR2174315.7","extra_SRR2174317.1","extra_SRR2174320.38","extra_SRR2174321.10","extra_SRR5580761.114","extra_SRR5580762.42","extra_SRR5580763.92","extra_SRR5925326.20","extra_SRR5927679.39","extra_SRR5927681.71","extra_SRR5927682.28","extra_SRR5927686.74","extra_SRR5927689.35","extra_SRR5927690.6","extra_SRR5927696.30","extra_SRR5927698.79","extra_SRR5927701.10","extra_SRR5927702.80","extra_SRR5927704.2","extra_SRR5927705.1","extra_SRR5927707.30","extra_SRR5927708.48","extra_SRR5927709.41","extra_SRR5927712.38","extra_SRR5927714.26","extra_SRR5927715.35","extra_SRR5927718.58","extra_SRR6032568.47","extra_SRR6032569.13","extra_SRR6032570.31","extra_SRR6032571.9","extra_SRR6032572.43","extra_SRR6032575.4","extra_SRR6032579.13","extra_SRR6032581.14","extra_SRR6032583.10","extra_SRR6032588.12","extra_SRR6032598.1","extra_SRR6945401.17","iMGMC_978","single_China_S_Fe11_120417.17","single_China_S_Fe12_120417.16","single_China_S_Fe13_120417.57","single_China_S_Fe14_120416.68","single_China_S_Fe16_120417.26","single_China_S_Fe20_120416.35","single_wildmice_C1220.78","single_wildmice_C1224.60","single_wildmice_C1226.64","single_wildmice_C1231.76","single_wildmice_C1239.77","single_wildmice_C1243.78"]}
{"coord_x":[[0.0,1e-10,0.6744310911954894,0.6744310912954894,1.261598558427165,1.261598558527165,1.8025218631506281,1.8025218632506281,2.322713109441924,2.3227131095419242,2.8378464004588846,2.8378464005588846,3.2996210424279075,3.2996210425279076,3.747944858282763,3.747944858382763,4.173480084440062,4.173480084540062,4.596847615479788,4.596847615579788,5.017880705623668,5.017880705723668,5.436690518723884,5.436690518823884,5.849886557288847,5.849886557388847,6.233568593099171,6.233568593199171,6.6048558593910665,6.6048558594910665,6.964359757351543,6.964359757451543,7.322696434864096,7.322696434964096,7.67202884034981,7.67202884044981,8.013023956921783,8.013023957021783,8.35274068919365,8.35274068929365,8.686510155373716,8.686510155473716,9.01638888672737,9.01638888682737,9.33815265687165,9.33815265697165,9.650800991136906,9.650800991236906,9.963226997697797,9.963226997797797,10.273596472993297,10.273596473093297,10.581798253171227,10.581798253271227,10.886943027414118,10.886943027514118,11.187141010234855,11.187141010334855,11.485615953346754,11.485615953446754,11.783368331419462,11.783368331519462,12.08073163600953,12.08073163610953,12.368201357755291,12.368201357855291,12.94264056391199,12.94264056401199,13.22866515557937,13.22866515567937,13.514634165320658,13.514634165420658,13.79865780764874,13.79865780774874,14.080347009080976,14.080347009180976,14.35475497819521,14.35475497829521,14.628051308787613,14.628051308887613,14.899846927375544,14.899846927475544,15.168585540028436,15.168585540128436,15.434767384081114,15.434767384181114,15.700560154651152,15.700560154751152,15.963796156620974,15.963796156720974,16.225809356216782,16.22580935631678,16.486822081142943,16.48682208124294,16.747223404882096,16.747223404982094,17.007180073212513,17.00718007331251,17.266191848799373,17.26619184889937,17.52298034734257,17.52298034744257,17.778879535068306,17.778879535168304,18.03099915181981,18.030999151919808,18.282674113162578,18.282674113262576,18.52856855419182,18.52856855429182,18.774407413294973,18.77440741339497,19.26402860023589,19.264028600335887,19.505921142586537,19.505921142686535,19.747035537971904,19.747035538071902,19.9873162044659,19.987316204565897,20.22731896132943,20.22731896142943,20.465598678484124,20.465598678584122,20.701933028225614,20.701933028325612,20.93782272255837,20.937822722658368,21.173656834965033,21.17365683506503,21.40854605462814,21.408546054728138,21.643157364660787,21.643157364760786,21.87743518313689,21.877435183236887,22.11110160042598,22.111101600525977,22.343211723784506,22.343211723884504,22.573765553212468,22.573765553312466,22.804041473009974,22.804041473109972,23.033316918137828,23.033316918237826,23.260202340443744,23.260202340543742,23.48608728808001,23.48608728818001,23.71169432608582,23.711694326185818,23.93724578216554,23.93724578226554,24.16213025513216,24.162130255232157,24.385680761872578,24.385680761972576,24.60906452283472,24.60906452293472,24.832392701870777,24.832392701970775,25.05505389779373,25.05505389789373,25.27443576007728,25.27443576017728,25.492705983839,25.492705983938997,25.709419913670153,25.70941991377015,25.925855933870846,25.925855933970844,26.141291479401893,26.14129147950189,26.355448640632833,26.35544864073283,26.569327892233314,26.569327892333312,26.782873652277246,26.782873652377244,26.996085920764628,26.996085920864626,27.209187025399828,27.209187025499826,27.421843474626296,27.421843474726295,27.633666194961386,27.633666195061384,27.844877514109474,27.84487751420947,28.05519952244009,28.05519952254009,28.2616307959443,28.261630796044297,28.468006487522413,28.46800648762241,28.67404868754398,28.674048687643978,28.880035305639453,28.88003530573945,29.08541052254792,29.08541052264792,29.290507829825927,29.290507829925925,29.494938153990837,29.494938154090836,29.69736752881645,29.69736752891645,29.898852010898505,29.898852010998503,30.100114165276192,30.10011416537619,30.30065375461469,30.300653754714688,30.500137287357447,30.500137287457445,30.699342910469746,30.699342910569744,30.897881550468945,30.897881550568943,31.09525297002022,31.095252970120217,31.29095693178875,31.290956931888747,31.48604949237027,31.48604949247027,31.68080856139524,31.680808561495237,31.87551204849412,31.875512048594118,32.06882598744071,32.06882598754071,32.26191759868293,32.26191759878293,32.45484246414688,32.45484246424688,32.645877544123714,32.645877544223715,32.83574540365262,32.835745403752625,33.02377905962051,33.02377905972051,33.21170155173621,33.211701551836214,33.39845682340399,33.39845682350399,33.58426720232821,33.584267202428215,34.14058670057905,34.14058670067905,34.325118695203166,34.32511869530317,34.50826114167499,34.508261141774994,34.69129242429464,34.69129242439464,34.87365672380118,34.873656723901185,35.05457589322934,35.05457589332934,35.23443900606176,35.234439006161764,35.41413537311591,35.41413537321591,35.59366499439179,35.59366499449179,35.773083451815474,35.773083451915475,35.95100119723469,35.95100119733469,36.12869661494954,36.12869661504954,36.3062808688122,36.306280868912204,36.48303139378349,36.48303139388349,36.65911493564169,36.65911493574169,36.83447591246069,36.83447591256069,37.184919956468235,37.18491995656824,37.35966953210023,37.35966953220023,37.70683424246837,37.70683424256837,37.87891588564797,37.87891588574797,38.04994147223182,38.049941472331824,38.220466821480855,38.22046682158086,38.390881006877706,38.39088100697771,38.560350299531,38.560350299631004,38.72965284640602,38.72965284650602,38.89862190172448,38.898621901824484,39.066368154668936,39.06636815476894,39.233614170278564,39.233614170378566,39.40069344010992,39.40069344020992,39.56699456297599,39.566994563075994,39.73324010391597,39.73324010401597,40.06511978460892,40.06511978470892,40.230253687027066,40.23025368712707,40.39533200751912,40.395332007619125,40.559965672602445,40.55996567270245,40.72276513412474,40.722765134224744,41.04830847524325,41.048308475343255,41.210107462095905,41.21010746219591,41.37151737546591,41.371517375565915,41.53164890453582,41.53164890463582,41.69066879508389,41.69066879518389,41.8487993748145,41.8487993749145,42.1637821499756,42.163782150075605,42.3193003791799,42.3193003792799,42.47448511682765,42.47448511692765,42.62889170751012,42.62889170761012,42.782853642783856,42.78285364288386,42.93598184916622,42.93598184926622,43.088609818213754,43.088609818313756,43.23973707525682,43.23973707535682,43.390753168447695,43.3907531685477,43.541380188155934,43.541380188255935,43.69189604401199,43.69189604411199,43.842356317941956,43.84235631804196,43.992371936463186,43.99237193656319,44.142331973058326,44.14233197315833,44.29145828076209,44.291458280862095,44.44041784268759,44.44041784278759,44.58909949498262,44.58909949508262,44.736613926829726,44.73661392692973,44.88407277675075,44.88407277685075,45.03108697126303,45.03108697136303,45.17637812606648,45.17637812616648,45.321391371239464,45.321391371339466,45.46612670678199,45.466126706881994,45.61041738691579,45.610417387015794,45.75320735504511,45.753207355145115,45.89588615932226,45.89588615942226,46.038287053968936,46.03828705406894,46.180354457059074,46.180354457159076,46.3218104589622,46.3218104590622,46.462265986195675,46.46226598629568,46.60261034957696,46.602610349676965,46.74212098406689,46.74212098416689,46.881242545074166,46.88124254517417,47.02030852415535,47.02030852425535,47.15915217553217,47.15915217563217,47.29705093416543,47.297050934265435,47.43478294702042,47.434782947120425,47.57212588639277,47.57212588649277,47.70913533420856,47.70913533430856,47.845644544689534,47.845644544789536,47.982042591318326,47.98204259141833,48.118162728316655,48.11816272841666,48.2535603002758,48.2535603003758,48.38829088912184,48.38829088922184,48.52296589604179,48.52296589614179,48.65714066562691,48.657140665726914,48.79120427135986,48.79120427145986,48.924767639757974,48.924767639857976,49.058219844303906,49.05821984440391,49.19122739344111,49.19122739354111,49.324068196800035,49.324068196900036,49.588804910774336,49.58880491087434,49.72025616598097,49.72025616608097,49.85137392963106,49.85137392973106,49.981546800537586,49.98154680063759,50.110608032922286,50.11060803302229,50.23916902797216,50.23916902807216,50.36767444109594,50.367674441195945,50.495457289180536,50.49545728928054,50.62307339148685,50.62307339158685,50.75063391186708,50.75063391196708,50.878027686469025,50.87802768656903,51.00453215025351,51.00453215035351,51.25731875011811,51.25731875021811,51.38354530427214,51.38354530437214,51.508437892199964,51.508437892299966,51.633163734349516,51.63316373444952,51.75738933916425,51.75738933926425,51.88122587049634,51.88122587059634,52.003506107897856,52.00350610799786,52.12556401759502,52.12556401769502,52.2473995995878,52.2473995996878,52.36873494424577,52.368734944345775,52.48984796119937,52.48984796129937,52.610905396226876,52.61090539632688,52.852909102429706,52.85290910252971,52.97379979167894,52.973799791778944,53.09369000625853,53.09369000635853,53.213079983503285,53.213079983603286,53.3321364691915,53.3321364692915,53.45113737295361,53.45113737305361,53.56997153093746,53.56997153103746,53.68847219736475,53.688472197464755,53.80686169993986,53.80686170003986,53.92430630977142,53.92430630987142,54.0415285918986,54.0415285919986,54.15769481743005,54.15769481753005,54.27358313333104,54.27358313343104,54.389249121527655,54.38924912162766,54.504637200093825,54.50463720019383,54.61980295095562,54.619802951055625,54.73385706329559,54.73385706339559,54.84713302867027,54.84713302877027,54.95985317478404,54.95985317488404,55.07207308356298,55.07207308366298,55.18390391885928,55.18390391895928,55.29556800837731,55.29556800847731,55.40712093404315,55.40712093414315,55.518618277782906,55.51861827788291,55.62972654804001,55.62972654814001,55.73977876170139,55.73977876180139,55.849553065732294,55.849553065832296,55.959160623984936,55.95916062408494,56.06843469068102,56.068434690781025,56.17759759352493,56.17759759362493,56.28648258673837,56.286482586838375,56.39425594142999,56.39425594152999,56.5014178949346,56.5014178950346,56.608524266513115,56.60852426661312,56.71546389231335,56.715463892413354,56.82195886270486,56.82195886280486,56.927953595761544,56.927953595861545,57.0335036734095,57.0335036735095,57.24449266485321,57.24449266495321,57.34948692324025,57.34948692334025,57.45364745273591,57.45364745283591,57.557252162970656,57.55725216307066,57.7640725099575,57.7640725100575,57.86673232744869,57.86673232754869,57.96933656301378,57.969336563113785,58.07160730702233,58.071607307122335,58.173766887178694,58.173766887278695,58.27587088540896,58.275870885508965,58.376807663191315,58.376807663291316,58.47741094941711,58.477410949517115,58.57768074408636,58.57768074418636,58.67778379297734,58.67778379307734,58.877600817276644,58.877600817376646,58.976981301128426,58.97698130122843,59.073971762158266,59.07397176225827,59.17068431355766,59.17068431365766,59.26711895532658,59.26711895542658,59.36288661398241,59.36288661408241,59.4582651991556,59.4582651992556,59.64857771409324,59.648577714193245,59.7434560619316,59.743456062031605,59.83822324591779,59.83822324601779,59.932045537160406,59.93204553726041,60.02508968143775,60.02508968153775,60.11735567874981,60.11735567884981,60.20945493028359,60.20945493038359,60.300998362556456,60.30099836265646,60.392486212903236,60.39248621300324,60.48380731747174,60.48380731757174,60.575017258188055,60.57501725828806,60.66583812542173,60.66583812552173,60.93824514519667,60.93824514529667,61.02828786546506,61.02828786556506,61.11821942188127,61.11821942198127,61.20787306866702,61.20787306876702,61.29719322389623,61.29719322399623,61.386013141790606,61.38601314189061,61.47466631390671,61.47466631400671,61.56304157639236,61.56304157649236,61.65108334732145,61.651083347421455,61.738013479728714,61.738013479828716,61.82488803020989,61.82488803030989,61.91170699876497,61.91170699886497,61.998248057689594,61.998248057789596,62.084677952762036,62.08467795286204,62.17099668398229,62.17099668408229,62.25725983327646,62.25725983337646,62.34274483560534,62.34274483570534,62.42789634637767,62.427896346477674,62.59808820407015,62.59808820417015,62.68301738713812,62.683017387238124,62.76772424250172,62.76772424260172,62.93697120745065,62.93697120755065,63.10594026276912,63.10594026286912,63.19025804465007,63.190258044750074,63.27435349882666,63.274353498926665,63.35833778915107,63.358337789251074,63.44182184214066,63.441821842240664,63.60851203848937,63.608512038589375,63.691273526439765,63.69127352653977,63.773868268611885,63.77386826871189,63.855740445744814,63.855740445844816,63.93683447591246,63.936834476012464,64.01581639288862,64.01581639298863,64.0946871460126,64.0946871461126,64.17177927750166,64.17177927760166,64.24675929579922,64.24675929589922,64.30739917716517,64.30739917726517,64.36153597317839,64.3615359732784,64.41389414755668,64.41389414765668,64.46280624251729,64.46280624261729,64.50927273272985,64.50927273282986,64.55284896278567,64.55284896288568,64.58836581355821,64.58836581365821,64.62232637040017,64.62232637050018,64.64983942381552,64.64983942391552,64.67668549411776,64.67668549421776,64.70286458130691,64.70286458140691,64.72404129514781,64.72404129524782,64.73749212126198,64.73749212136198,64.74549591861917,64.74549591871917,64.75038712811522,64.75038712821522],[0.0,1e-10,1.188563907542801,1.188563907642801,2.3659558479411897,2.3659558480411897,3.4760936577687414,3.4760936578687414,4.34244913975853,4.34244913985853,5.189628857246716,5.189628857346716,6.03636391932617,6.03636391942617,6.882709907922981,6.882709908022981,7.725609817102114,7.725609817202114,8.509426138845875,8.509426138945875,9.27634555505779,9.27634555515779,10.03031438249036,10.03031438259036,10.780559220874792,10.780559220974792,11.503957988956984,11.503957989056984,12.22413300532586,12.22413300542586,12.910625374483226,12.910625374583226,13.596839834010137,13.596839834110137,14.264434348296358,14.264434348396358,14.921857370107817,14.921857370207817,15.575500820945049,15.575500821045049,16.211302473506876,16.211302473606874,16.837933108263588,16.837933108363586,17.45033476994085,17.450334770040847,18.04839629468648,18.048396294786478,18.64617990980165,18.646179909901647,19.233402958959417,19.233402959059415,19.802950955620055,19.802950955720053,20.367385415080268,20.367385415180266,20.93131963720565,20.93131963730565,21.494864785848396,21.494864785948394,22.047404713125005,22.047404713225003,22.597610199505766,22.597610199605764,23.134198113994085,23.134198114094083,23.663171304607854,23.663171304707852,24.184196279790523,24.18419627989052,24.702942396003436,24.702942396103435,25.21929848939441,25.21929848949441,25.733820379224365,25.733820379324364,26.247953195571675,26.247953195671673,26.756694565088104,26.756694565188102,27.256264916799413,27.25626491689941,27.746886578409978,27.746886578509976,28.232672612450575,28.232672612550573,28.712733708103734,28.712733708203732,29.189293142413124,29.189293142513122,29.663240226196205,29.663240226296203,30.122291353786743,30.12229135388674,30.58084224404245,30.58084224414245,31.039281970445977,31.039281970545975,31.48710554896601,31.48710554906601,31.92759231324195,31.927592313341947,32.358852477786684,32.358852477886686,32.78983473270096,32.78983473280096,33.21798230938457,33.21798230948457,33.64001587419809,33.64001587429809,34.059826161967955,34.05982616206796,34.47958086781173,34.47958086791173,34.899113245951135,34.89911324605114,35.31447697963367,35.31447697973367,35.72783976397691,35.72783976407691,36.13119780162366,36.13119780172366,36.53288838148766,36.53288838158766,36.93202219275145,36.93202219285145,37.33026669319777,37.33026669329777,37.719784831247715,37.71978483134772,38.10908064159329,38.10908064169329,38.495986429116925,38.49598642921693,38.881613832340456,38.88161383244046,39.259015110502425,39.25901511060243,39.62991330331168,39.62991330341168,40.000422422638295,40.000422422738296,40.3677077902516,40.3677077903516,40.73076893148194,40.73076893158194,41.093440999229635,41.09344099932964,41.455779575420785,41.455779575520786,41.81761791427711,41.81761791437711,42.17906717965079,42.17906717975079,42.5403496992462,42.5403496993462,42.9010208176546,42.9010208177546,43.26152519028472,43.261525190384724,43.607633844057126,43.60763384415713,43.95201945812069,43.95201945822069,44.29051338801854,44.29051338811854,44.628618244433746,44.62861824453375,44.96172072750071,44.961720727600714,45.29454530093722,45.294545301037225,45.960083283958056,45.96008328405806,46.29212971042928,46.29212971052928,46.62412055497442,46.62412055507442,46.954499523662896,46.9544995237629,47.28443383694264,47.28443383704264,47.61414582251802,47.61414582261802,47.94313524305421,47.94313524315421,48.27056836965983,48.27056836975983,48.59522239996087,48.59522240006087,48.91659709662251,48.91659709672251,49.236471081279674,49.236471081379676,49.553176896149616,49.55317689624962,49.86654779545407,49.86654779555407,50.17925171164541,50.179251711745415,50.49123306279757,50.49123306289757,50.80154695616698,50.80154695626698,51.109915482123185,51.10991548222319,51.41583840333136,51.41583840343136,51.71992712097851,51.71992712107851,52.02273745432555,52.02273745442555,52.32404707566812,52.32404707576812,52.623800403080125,52.62380040318013,52.92277558352685,52.92277558362685,53.21813793877762,53.218137938877625,53.51333354825012,53.51333354835012,53.80752868305296,53.80752868315296,54.100890088964434,54.100890089064436,54.39408474909763,54.39408474919763,54.68689033574818,54.68689033584818,54.97630542490715,54.976305425007155,55.26460887554428,55.264608875644285,55.551856269585684,55.551856269685686,55.838992499774896,55.8389924998749,56.12462801795963,56.12462801805963,56.40815142295289,56.40815142305289,56.68900689549375,56.68900689559375,56.969306548773694,56.969306548873696,57.249050382792724,57.249050382892726,57.52768257828992,57.52768257838992,57.80231287510853,57.80231287520853,58.072385453987614,58.072385454087616,58.34234686901452,58.34234686911452,58.60891778654984,58.60891778664984,58.874599393267694,58.874599393367696,59.13955843494636,59.13955843504636,59.404350730846744,59.404350730946746,59.66792022437312,59.66792022447312,59.92976667819065,59.929766678290655,60.18694425021649,60.18694425031649,60.44401065839015,60.44401065849015,60.69996542804197,60.69996542814197,60.952529700202206,60.95252970030221,61.20370442421015,61.20370442431015,61.45443449280937,61.45443449290937,61.70510897948249,61.70510897958249,61.955505556525154,61.955505556625155,62.205624223937356,62.20562422403736,62.45524265401474,62.45524265411474,62.70374944557029,62.70374944567029,62.952089491347564,62.952089491447566,63.199262316676915,63.19926231677692,63.44460093844524,63.44460093854524,63.68932815902656,63.68932815912656,63.9338886338296,63.933888633929605,64.17522535691934,64.17522535701934,64.65734298383789,64.6573429839379,64.89451106247076,64.89451106257076,65.12634327619882,65.12634327629883,65.35734176103551,65.35734176113552,65.58583905919808,65.58583905929808,65.8127800634301,65.8127800635301,66.03927641225337,66.03927641235337,66.26427204907218,66.26427204917218,66.48659975343858,66.48659975353858,66.70709325424396,66.70709325434396,66.92686419001015,66.92686419011015,67.13785318145386,67.13785318155387,67.34850868134103,67.34850868144103,67.5545508813626,67.5545508814626,67.76014842597543,67.76014842607543,68.17028745860536,68.17028745870536,68.37455103699199,68.37455103709199,68.57703599374369,68.5770359938437,68.77940978664321,68.77940978674322,68.98156125183837,68.98156125193837,69.18360155318135,69.18360155328135,69.3850860352634,69.3850860353634,69.58418049452351,69.58418049462351,69.78138516829651,69.78138516839651,69.97836751436515,69.97836751446515,70.17434938576413,70.17434938586413,70.36994218368048,70.36994218378048,70.7609610337349,70.7609610338349,70.95505311964676,70.95505311974676,71.14619936347579,71.14619936357579,71.33323254477402,71.33323254487402,71.51959874295916,71.51959874305916,71.70540912188338,71.70540912198338,71.89083042732497,71.89083042742497,72.07552916772735,72.07552916782736,72.25177945536382,72.25177945546382,72.42680694062628,72.42680694072628,72.60177884396263,72.60177884406264,72.95100008559616,72.95100008569617,73.12330405648014,73.12330405658014,73.29544128158582,73.29544128168583,73.46718943320887,73.46718943330887,73.63888200290582,73.63888200300582,73.81007433526796,73.81007433536796,73.9811555037779,73.9811555038779,74.15168085302693,74.15168085312693,74.32176154686724,74.32176154696724,74.48884081669858,74.48884081679859,74.65380797333846,74.65380797343846,74.81644068908248,74.81644068918249,74.97735036511767,74.97735036521767,75.13575885447874,75.13575885457874,75.29366710650497,75.29366710660497,75.45118628504858,75.45118628514858,75.60803848047907,75.60803848057907,75.76250065308763,75.76250065318763,75.91618467873091,75.91618467883092,76.06897939355672,76.06897939365672,76.22055130600852,76.22055130610852,76.37028901489929,76.37028901499929,76.51880392141605,76.51880392151605,76.66626277133707,76.66626277143708,76.81322138392326,76.81322138402327,76.95701182672224,76.95701182682224,77.10007970448201,77.10007970458201,77.24259176298088,77.24259176308088,77.38438125644056,77.38438125654056,77.5250035294523,77.52500352955231,77.66557022053797,77.66557022063797,77.94631452922664,77.94631452932664,78.08626981912529,78.0862698192253,78.22594719939349,78.22594719949349,78.36534667003123,78.36534667013123,78.50457939489068,78.50457939499069,78.6434230462675,78.6434230463675,78.78209995186606,78.78209995196606,78.9187759081253,78.9187759082253,79.1920722387177,79.1920722388177,79.32858144919868,79.32858144929868,79.46492391390137,79.46492391400137,79.60087730512143,79.60087730522143,79.73449625544563,79.73449625554564,80.00117833683314,80.00117833693314,80.13329657515288,80.13329657525288,80.26380293761596,80.26380293771597,80.39347557118766,80.39347557128767,80.52253680357236,80.52253680367237,80.65093105284396,80.65093105294396,80.77915855633728,80.77915855643728,80.90666349479142,80.90666349489142,81.03355703205854,81.03355703215854,81.16028382354739,81.16028382364739,81.28673270540578,81.28673270550578,81.41290367763372,81.41290367773372,81.66463422090258,81.66463422100259,81.78847075223467,81.78847075233467,81.91152913660147,81.91152913670147,82.03358704629863,82.03358704639864,82.15558937406969,82.1555893741697,82.27753611991467,82.27753612001467,82.39859355494218,82.39859355504218,82.51881726107831,82.51881726117831,82.6367621082447,82.6367621083447,82.75415113615016,82.75415113625016,82.87148458212953,82.87148458222953,82.98815104499579,82.98815104509579,83.10442843437943,83.10442843447943,83.21787114553238,83.21787114563239,83.32708963030238,83.32708963040238,83.435474386181,83.435474386281,83.54319215894652,83.54319215904653,83.64957596548585,83.64957596558585,83.75557069854253,83.75557069864253,83.86073170270784,83.86073170280784,83.96511455990786,83.96511456000786,84.06838577858606,84.06838577868606,84.1699895394815,84.16998953958151,84.27153771845086,84.27153771855086,84.37208542275057,84.37208542285057,84.47224405356764,84.47224405366764,84.57162453741942,84.57162453751943,84.67089385741902,84.67089385751902,84.77010759549253,84.77010759559253,84.86859876852685,84.86859876862685,84.96531131992623,84.96531132002623,85.06196828939953,85.06196828949953,85.15801385768582,85.15801385778582,85.25378151634165,85.25378151644165,85.3493268472931,85.3493268473931,85.4446498505402,85.4446498506402,85.53936145260029,85.53936145270029,85.6339063088821,85.6339063089821,85.7279509278291,85.7279509279291,85.82143972751517,85.82143972761517,85.91481736334906,85.91481736344906,86.00775034377422,86.00775034387422,86.09979401338191,86.09979401348191,86.19100395409822,86.19100395419822,86.28210273096235,86.28210273106235,86.3731459259004,86.3731459260004,86.46335539194706,86.46335539204706,86.55345369414155,86.55345369424155,86.64344083248386,86.64344083258386,86.73264982386088,86.73264982396088,86.8211362501987,86.82113625029871,86.90940034883216,86.90940034893217,86.99760886553953,86.99760886563953,87.08498365335554,87.08498365345554,87.17002400027569,87.17002400037569,87.25484201949148,87.25484201959148,87.3393821290768,87.3393821291768,87.42386665673602,87.42386665683603,87.50796211091262,87.50796211101262,87.59066801693693,87.59066801703693,87.6675378207216,87.66753782082161,87.7364038271491,87.7364038272491,87.77753445245689,87.77753445255689,87.8132180490077,87.8132180491077],[0.0,1e-10,1.7450501515719123,1.7450501516719124,3.4052267020019498,3.4052267021019498,4.534317948626738,4.534317948726738,5.514616379104308,5.514616379204308,6.441278250903484,6.441278251003484,7.33253443578231,7.33253443588231,8.217732190717152,8.217732190817152,8.962474418418516,8.962474418518516,9.647632821349685,9.647632821449685,10.315894318749006,10.315894318849006,10.980987646361108,10.980987646461108,11.636020645350628,11.636020645450628,12.28349450239169,12.28349450249169,12.919296154953518,12.919296155053518,13.532865037078702,13.532865037178702,14.144488551790683,14.144488551890683,14.747385704106282,14.747385704206282,15.338388324238277,15.338388324338277,15.928390469700625,15.928390469800625,16.506720410683734,16.506720410783732,17.084327786627657,17.084327786727656,17.6611014336802,17.6611014337802,18.233372944719328,18.233372944819326,18.803310014862607,18.803310014962605,19.358851366148162,19.35885136624816,19.90861219712019,19.908612197220187,20.453870892078797,20.453870892178795,20.991459281236764,20.991459281336763,21.527269048759802,21.5272690488598,22.061411358500088,22.061411358600086,22.592052006896605,22.592052006996603,23.120691705953824,23.120691706053822,23.64505159670199,23.645051596801988,24.167632865815225,24.167632865915223,24.685656416988948,24.685656417088946,25.198844340592704,25.198844340692702,25.70619616195684,25.706196162056838,26.212269599020868,26.212269599120866,26.71189553265827,26.71189553275827,27.208797951917187,27.208797952017186,27.683523182665553,27.68352318276555,28.141407089808165,28.141407089908164,28.59734562953757,28.59734562963757,29.051116474149403,29.0511164742494,29.503942426017677,29.503942426117675,29.953766953877007,29.953766953977006,30.400867967357847,30.400867967457845,30.846912924242947,30.846912924342945,31.287066196962336,31.287066197062334,31.71098954726298,31.710989547362978,32.13157798199813,32.13157798209813,32.54910941079824,32.54910941089824,32.963361505958936,32.96336150605894,33.37266680969749,33.372666809797494,33.78108280261858,33.78108280271858,34.18321803789131,34.18321803799131,34.58051764559408,34.58051764569408,34.97476024736181,34.97476024746181,35.36839144794252,35.36839144804252,35.757242602879366,35.75724260297937,36.13964625438958,36.139646254489584,36.520215702338774,36.520215702438776,36.900173749100965,36.90017374920097,37.277852936893396,37.2778529369934,37.65403141268135,37.65403141278135,38.02926499572575,38.02926499582575,38.40049668009156,38.40049668019156,38.77111696327035,38.77111696337035,39.13790209354883,39.13790209364883,39.50240836485755,39.50240836495755,39.86552508801398,39.86552508811398,40.22636295220065,40.226362952300654,40.586978488682966,40.58697848878297,40.944870510786785,40.94487051088679,41.300039018512116,41.30003901861212,41.653651232306885,41.65365123240689,42.005818316023266,42.00581831612327,42.35631794195691,42.35631794205691,42.705094528181704,42.705094528281705,43.05103643617583,43.05103643627583,43.39475506712629,43.39475506722629,43.7341938897677,43.734193889867704,44.07313247507429,44.07313247517429,44.406957523180445,44.40695752328045,44.737392073795014,44.737392073895016,45.06599242084856,45.06599242094856,45.39286972819327,45.39286972829327,45.718579815090045,45.71857981519005,46.03778681663412,46.03778681673412,46.35666032662163,46.35666032672163,46.67392196075249,46.67392196085249,46.988293334726585,46.98829333482659,47.297884663056806,47.29788466315681,47.607364827534845,47.60736482763485,47.91573335349104,47.915733353591044,48.22282349514714,48.22282349524714,48.52958014524669,48.52958014534669,48.83550306645486,48.835503066554864,49.13948062024983,49.13948062034983,49.43940069344011,49.439400693540115,49.73893169314775,49.73893169324775,50.03779570974229,50.03779570984229,50.33615948900201,50.33615948910201,50.63413419477908,50.63413419487908,50.931775408999606,50.93177540909961,51.22685985461992,51.22685985471992,51.51560796066578,51.515607960765784,51.80052091381133,51.800520913911335,52.08454455613941,52.084544556239415,52.36634492142383,52.36634492152383,52.647255975890786,52.64725597599079,52.9277779568751,52.9277779569751,53.20613224274184,53.20613224284184,53.482541161195364,53.482541161295366,53.7542811978572,53.754281197957205,54.025409833332034,54.025409833432036,54.29642730495468,54.296427305054685,54.561886583968175,54.561886584068176,54.827123535277295,54.8271235353773,55.091693503473316,55.09169350357332,55.3558188162606,55.3558188163606,55.616442467704125,55.61644246780413,55.87673262759109,55.87673262769109,56.13624464051278,56.13624464061278,56.395423161877915,56.39542316197792,56.65137793152974,56.65137793162974,56.904331277172616,56.90433127727262,57.15678438548067,57.15678438558067,57.40890400223217,57.40890400233217,57.660078726240116,57.66007872634012,57.910197393652325,57.91019739375233,58.16009373336016,58.160093733460165,58.409378671880994,58.409378671980996,58.65382798283186,58.65382798293186,58.89694332755652,58.89694332765652,59.139336107241995,59.139336107342,59.38122864959264,59.381228649692645,59.61589554155138,59.61589554165138,59.849506376914384,59.849506377014386,60.0783371666335,60.078337166733505,60.30711237442653,60.30711237452653,60.53572083644129,60.535720836541294,60.764051388825585,60.76405138892559,60.99127030268805,60.99127030278805,61.21810014306788,61.21810014316788,61.44481881959552,61.44481881969552,61.66886956367076,61.66886956377076,61.889418646402234,61.889418646502236,62.109078418316244,62.109078418416246,62.32796004326497,62.327960043364975,62.546119103174505,62.546119103274506,62.763666761897035,62.76366676199704,62.981103256767376,62.98110325686738,63.19715020348543,63.19715020358543,63.41275249479475,63.412752494894754,63.62640941869087,63.62640941879087,63.83939935947388,63.83939935957388,64.04927671239577,64.04927671249577,64.2588761556872,64.2588761557872,64.46842001705254,64.46842001715254,64.67790829649178,64.67790829659178,64.88634051933528,64.88634051943528,65.09232713743076,65.09232713753076,65.29681304352177,65.29681304362177,65.5010210399823,65.5010210400823,65.70350599673401,65.70350599683401,65.90499047881606,65.90499047891606,66.10541890430237,66.10541890440237,66.30556942015824,66.30556942025824,66.50421922400962,66.50421922410962,66.70275786400882,66.70275786410882,66.90085184859927,66.90085184869928,67.09811210429837,67.09811210439837,67.29387164799299,67.29387164809299,67.48885304472233,67.48885304482233,67.68366769567339,67.6836676957734,67.87742629002871,67.87742629012871,68.06996208201002,68.06996208211002,68.26227554628696,68.26227554638696,68.45436668285953,68.45436668295953,68.64640223750601,68.64640223760601,68.83743731748285,68.83743731758285,69.02741634086394,69.02741634096394,69.21483859564482,69.21483859574482,69.40031548301249,69.4003154831125,69.58373583911478,69.58373583921478,69.76576664706478,69.76576664716478,69.94690814419731,69.94690814429731,70.12488147154261,70.12488147164261,70.302298979627,70.302298979727,70.47604808058935,70.47604808068935,70.64968601769951,70.64968601779951,70.82271255362267,70.82271255372267,70.99479419680226,70.99479419690226,71.16515280027302,71.16515280037302,71.3346776748524,71.3346776749524,71.5034244024665,71.50342440256651,71.67189322045014,71.67189322055015,71.83975063724678,71.83975063734678,72.0071078167086,72.0071078168086,72.17324219379638,72.17324219389639,72.339265407032,72.339265407132,72.5046772190806,72.5046772191806,72.66981112149875,72.66981112159876,72.83422245887772,72.83422245897772,72.99663284691736,72.99663284701737,73.15843183377002,73.15843183387003,73.48186306169706,73.48186306179706,73.64338413891925,73.64338413901925,73.80440497880662,73.80440497890662,73.96531465484179,73.96531465494179,74.12372314420286,74.12372314430286,74.27985277459418,74.27985277469418,74.43553774957674,74.43553774967674,74.59100039685495,74.59100039695495,74.74512907790697,74.74512907800697,74.8984796119937,74.8984796120937,75.05155223644996,75.05155223654997,75.2035132223844,75.2035132224844,75.35541862639275,75.35541862649275,75.50721286654891,75.50721286664891,75.65856245129633,75.65856245139634,75.8096897083394,75.80968970843941,75.96076138345637,75.96076138355637,76.11166631279507,76.11166631289507,76.26129285783367,76.26129285793367,76.40997451012869,76.4099745102287,76.5581003431628,76.55810034326281,76.70605943041865,76.70605943051865,76.85324037070922,76.85324037080922,76.99730872313864,76.99730872323865,77.1398763635636,77.1398763636636,77.28177702087547,77.28177702097547,77.42289953122203,77.42289953132203,77.5634662223077,77.5634662224077,77.70303243872371,77.70303243882371,77.84120910698742,77.84120910708742,77.97894111984242,77.97894111994242,78.11572823995384,78.11572824005384,78.25190395887827,78.25190395897827,78.38785735009833,78.38785735019833,78.52342166783573,78.52342166793574,78.65848574823833,78.65848574833834,78.79143771544945,78.79143771554945,78.92322246221262,78.92322246231262,79.05489604512363,79.05489604522363,79.18645846418245,79.18645846428245,79.31763180975862,79.31763180985863,79.44874957340872,79.44874957350872,79.57964500935444,79.57964500945444,79.71009578989143,79.71009578999143,79.83943493190658,79.83943493200658,79.9683850004391,79.9683850005391,80.09727948704553,80.09727948714553,80.35479055062791,80.35479055072791,80.47918290122091,80.47918290132091,80.60346408796174,80.60346408806174,80.72668921810681,80.72668921820681,80.84913620128661,80.84913620138661,80.97102736520549,80.97102736530549,81.09125107134163,81.09125107144163,81.21080779436465,81.21080779446466,81.32886380538322,81.32886380548322,81.44625283328868,81.44625283338868,81.56353069734196,81.56353069744196,81.68053065176478,81.68053065186479,81.7962522218875,81.7962522219875,81.91019517037527,81.91019517047528,82.02402695501088,82.02402695511088,82.13746966616384,82.13746966626384,82.25007864842541,82.25007864852542,82.36218739335217,82.36218739345217,82.47418497442676,82.47418497452676,82.69784664501935,82.69784664511936,82.80928840683302,82.80928840693302,82.92022993131185,82.92022993141185,83.03083796423414,83.03083796433414,83.14133483330424,83.14133483340424,83.25160937466998,83.25160937476998,83.36105018714434,83.36105018724435,83.47010192613607,83.47010192623607,83.57798644467987,83.57798644477987,83.68581538129757,83.68581538139757,83.79286617094999,83.79286617105,83.89958346904587,83.89958346914587,84.00602285751128,84.00602285761128,84.1118508447897,84.1118508448897,84.21728975858547,84.21728975868547,84.32239518082469,84.32239518092469,84.42733385728562,84.42733385738562,84.53193904219002,84.53193904229002,84.63621073553786,84.63621073563786,84.74009335540306,84.74009335550306,84.84380922948999,84.84380922959,84.94719161202038,84.94719161212038,85.04974026565938,85.04974026575938,85.151455190407,85.15145519050701,85.25289220552418,85.25289220562418,85.35427363871526,85.35427363881526,85.4552659984237,85.4552659985237,85.55575812079731,85.55575812089731,85.65608349739266,85.65608349749266,85.75529723546616,85.75529723556616,85.85378840850048,85.85378840860048,85.95205725383043,85.95205725393043,86.04960353412119,86.04960353422119,86.14620492166839,86.14620492176839,86.2427507272895,86.2427507273895,86.33901862328015,86.33901862338016,86.43517535541862,86.43517535551862,86.53105417792663,86.53105417802664,86.6258769438389,86.6258769439389,86.7199215627859,86.7199215628859,86.8131880347676,86.81318803486761,86.90612101519277,86.90612101529277,86.99899841369182,86.99899841379182,87.08837415084713,87.08837415094713,87.17747197837195,87.17747197847196,87.35555646956945,87.35555646966945,87.44348707664636,87.44348707674637,87.53036162712753,87.53036162722753,87.61690268605216,87.61690268615216,87.70299908956805,87.70299908966805,87.78898432923175,87.78898432933175,87.87441374963456,87.87441374973456,87.95845362188506,87.95845362198506,88.04221558450509,88.04221558460509,88.122864959264,88.12286495936401,88.19690008481803,88.19690008491803,88.2221898611897,88.2221898612897],[0.0,1e-10,0.5616553631556305,0.5616553632556305,0.9291630584732978,0.9291630585732978,1.2846094758290878,1.2846094759290878,1.627216468257718,1.627216468357718,1.9283037618959218,1.9283037619959218,2.2223321509204923,2.2223321510204923,2.5083011606617807,2.5083011607617807,2.78493240681968,2.78493240691968,3.0612857433471214,3.0612857434471215,3.336249531722273,3.336249531822273,3.604543488966432,3.604543489066432,3.8703362595364688,3.8703362596364688,4.129292453197239,4.129292453297239,4.38619211559262,4.38619211569262,4.638923133531131,4.638923133631131,4.891209496060909,4.891209496160909,5.139160468355542,5.139160468455542,5.377495767436328,5.377495767536328,5.615219665330106,5.615219665430106,5.847607698319091,5.8476076984190914,6.079884567455893,6.079884567555893,6.311939108888328,6.311939108988328,6.541714791351008,6.541714791451008,6.771434891887596,6.771434891987596,6.998709387676153,6.998709387776153,7.224149679903688,7.224149680003688,7.448922989018123,7.448922989118123,7.672473495758544,7.672473495858544,7.895301437459772,7.895301437559772,8.117795887604453,8.117795887704453,8.34017917389695,8.34017917399695,8.56200664092853,8.56200664102853,8.783389452551377,8.783389452651377,9.004383190691584,9.004383190791584,9.224765527644783,9.224765527744783,9.443591570667417,9.443591570767417,9.661917376355227,9.661917376455227,9.879075961595113,9.879075961695113,10.096067801056723,10.096067801156723,10.310836363474671,10.310836363574671,10.523326066922863,10.523326067022863,10.734815295701406,10.734815295801406,10.945470795588573,10.945470795688573,11.156070713549651,11.156070713649651,11.36639272188027,11.36639272198027,11.572657249606202,11.572657249706202,11.778254794219036,11.778254794319036,11.982796282236128,11.982796282336128,12.187171024474946,12.187171024574946,12.391212275157214,12.391212275257214,12.593975141539374,12.593975141639374,12.794903804360514,12.794903804460514,12.995443393699011,12.995443393799011,13.194037615624302,13.194037615724302,13.392465091771319,13.392465091871319,13.58794672583548,13.58794672593548,13.781149500929885,13.781149501029885,13.973296219428551,13.973296219528551,14.16344198858792,14.16344198868792,14.352420537299363,14.352420537399363,14.54045419326725,14.54045419336725,14.727042719156756,14.727042719256756,14.913131007711437,14.913131007811437,15.099108132413933,15.099108132513933,15.28502967519034,15.28502967529034,15.470895636040655,15.470895636140655,15.654649483699488,15.654649483799489,15.837569602466948,15.837569602566948,16.017210387595004,16.017210387695002,16.195406042644677,16.195406042744676,16.37315704228562,16.373157042385618,16.550852460000467,16.550852460100465,16.72826996808486,16.728269968184858,16.90474258342569,16.90474258352569,17.08065937950561,17.08065937960561,17.256520593659435,17.256520593759433,17.429713875360864,17.429713875460862,17.602851575136203,17.6028515752362,17.775489037576715,17.775489037676714,17.947959754238955,17.947959754338953,18.120319307049012,18.12031930714901,18.292289786376426,18.292289786476424,18.464149101851657,18.464149101951655,18.63578608962252,18.63578608972252,18.80581120153673,18.80581120163673,18.97561398574657,18.975613985846568,19.14530560610423,19.14530560620423,19.31433024334879,19.314330243448786,19.483299298667255,19.483299298767253,19.6504341504247,19.6504341505247,19.81695760099514,19.816957601095137,19.982980814230753,19.98298081433075,20.148892863614183,20.14889286371418,20.31474933107152,20.31474933117152,20.480439052750583,20.48043905285058,20.64590644672528,20.64590644682528,20.81076243951297,20.81076243961297,20.9753405226702,20.9753405227702,21.139029295009966,21.139029295109964,21.302162248088816,21.302162248188814,21.464961709611117,21.464961709711115,21.626927442242042,21.62692744234204,21.78833735561205,21.78833735571205,21.947968647347132,21.94796864744713,22.10693295596911,22.10693295606911,22.265063535699717,22.265063535799715,22.4213599118693,22.421359911969297,22.577378378408422,22.57737837850842,22.73311893531709,22.73311893541709,22.888470418743115,22.888470418843113,23.043710738316957,23.043710738416955,23.198784312112526,23.198784312212524,23.35374672205591,23.353746722155908,23.508431222368834,23.508431222468833,23.663060140755668,23.663060140855666,23.81618834713803,23.81618834723803,23.969260971594302,23.9692609716943,24.120388228637363,24.12038822873736,24.270348265232506,24.270348265332505,24.42014155604937,24.420141556149368,24.569879264940145,24.569879265040143,24.719505809978735,24.719505810078733,25.017647261534083,25.01764726163408,25.165328439159467,25.165328439259465,25.312898452932668,25.312898453032666,25.460357302853687,25.460357302953685,25.607482661218157,25.607482661318155,25.75449685573044,25.75449685583044,25.899954756312162,25.89995475641216,26.045134747263425,26.045134747363424,26.335161237609398,26.335161237709396,26.479396335817103,26.4793963359171,26.623464688246536,26.623464688346534,26.766588147932406,26.766588148032405,26.909433697987822,26.90943369808782,27.051890174560597,27.051890174660596,27.193901995724637,27.193901995824636,27.335802653036495,27.335802653136493,27.475535615230783,27.47553561533078,27.615101831646793,27.61510183174679,27.754501302284527,27.754501302384526,27.893622863291807,27.893622863391805,28.031354876146793,28.03135487624679,28.16864223359305,28.16864223369305,28.30581842718712,28.305818427287118,28.442272055742002,28.442272055842,28.578558938518608,28.578558938618606,28.71462349359085,28.714623493690848,28.85046572095872,28.85046572105872,28.985307473656945,28.985307473756944,29.119926898650803,29.1199268987508,29.25349026704892,29.25349026714892,29.386998053520948,29.386998053620946,29.520394676140793,29.52039467624079,29.653513389130175,29.653513389230174,29.785798373228186,29.785798373328184,29.917972193474014,29.917972193574013,30.049423448680653,30.04942344878065,30.17954073766109,30.179540737761087,30.30943569893716,30.30943569903716,30.43921949636105,30.43921949646105,30.568836548006665,30.568836548106663,30.697286379204357,30.697286379304355,30.82551388269768,30.82551388279768,30.95368580426491,30.95368580436491,31.081746561979962,31.08174656207996,31.209307082360187,31.209307082460185,31.336700856962135,31.336700857062134,31.46387230385972,31.463872303959718,31.590932586905122,31.59093258700512,31.71760379646788,31.71760379656788,31.84360802291754,31.843608023017538,31.96927875781065,31.969278757910647,32.09289296143837,32.092892961538375,32.21584018195299,32.21584018205299,32.338731820541526,32.33873182064153,32.46156787720396,32.46156787730396,32.58418160616203,32.584181606262035,32.70629509778528,32.70629509788528,32.82813067977807,32.82813067987807,32.94991067984477,32.94991067994477,33.071357188354916,33.07135718845492,33.19202554989979,33.19202554999979,33.31230483796201,33.31230483806201,33.432195052541594,33.432195052641596,33.55152944786026,33.55152944796026,33.670697097400655,33.67069709750066,33.789475673458405,33.78947567355841,33.90808750373788,33.90808750383788,34.02603235090426,34.02603235100426,34.26125506212392,34.261255062223924,34.3784773442511,34.378477344351104,34.49519938904347,34.49519938914347,34.61186585190974,34.61186585200974,34.72786533166291,34.727865331762914,34.8437536475639,34.8437536476639,34.95930847190834,34.95930847200834,35.0747521324006,35.0747521325006,35.19014021096676,35.19014021106676,35.30525037990247,35.30525038000247,35.42008263920771,35.420082639307715,35.53435907925204,35.53435907935204,35.648524355444195,35.6485243555442,35.76252288585807,35.76252288595807,35.87646583434585,35.87646583444585,35.99029761898145,35.99029761908145,36.10401823976487,36.10401823986487,36.217516532843916,36.21751653294392,36.444235209371556,36.44423520947156,36.55740001089406,36.55740001099406,36.7834517043086,36.7834517044086,36.89606068657018,36.89606068667018,37.00805826764476,37.008058267744765,37.11994468486716,37.11994468496716,37.23171993823736,37.23171993833736,37.34316170005103,37.34316170015103,37.56582289597398,37.56582289607398,37.676986748157184,37.676986748257185,37.78798385456211,37.78798385466211,38.009588993889324,38.009588993989325,38.119919117181155,38.11991911728116,38.229804585064244,38.229804585164246,38.33963447102125,38.33963447112125,38.44868621001297,38.448686210112974,38.557682367078606,38.55768236717861,38.666400614513776,38.66640061461378,38.775063280022856,38.77506328012286,38.8832812901232,38.8832812902232,38.99144371829746,38.99144371839746,39.09955056454562,39.099550564645625,39.20743508308942,39.207435083189424,39.315097273928856,39.31509727402886,39.42259271899001,39.42259271909001,39.52997700019898,39.529977000298985,39.63613847903394,39.63613847913394,39.74207763016453,39.74207763026453,39.84796119936903,39.84796119946903,39.95367802279526,39.95367802289526,40.059172518517116,40.05917251861712,40.16461143231289,40.16461143241289,40.26993918225647,40.269939182356474,40.37498902256959,40.374989022669595,40.479649789400085,40.47964978950009,40.5840882285262,40.5840882286262,40.68813759416968,40.68813759426968,40.79213137788707,40.79213137798707,40.89590283390008,40.89590283400008,40.999340798356556,40.99934079845656,41.10244527125647,41.10244527135647,41.20538299837812,41.20538299847812,41.3080983977954,41.3080983978954,41.410758215286585,41.410758215386586,41.51319570507341,41.51319570517341,41.61535528522977,41.61535528532977,41.81928537205985,41.819285372159854,42.02277080348121,42.02277080358121,42.226089489124284,42.226089489224286,42.429130265136905,42.42913026523691,42.53034495254971,42.53034495264971,42.63133731225815,42.63133731235815,42.83321086782284,42.833210867922844,42.93386973597473,42.93386973607473,43.13440932531323,43.13440932541323,43.33411518576035,43.334115185860355,43.43382916116869,43.43382916126869,43.53348755465093,43.533487554750934,43.63303478428099,43.63303478438099,43.73252643198495,43.73252643208495,43.83196249776283,43.83196249786283,43.93123181776243,43.93123181786243,44.03044555583593,44.030445555935934,44.12960371198335,44.12960371208335,44.22870628620468,44.22870628630468,44.32769769657382,44.32769769667382,44.42635561538641,44.426355615486415,44.52490237034682,44.524902370446824,44.72194029834154,44.721940298441545,44.91875589863191,44.91875589873191,45.016969162035764,45.016969162135766,45.11462660617871,45.11462660627871,45.21217288646947,45.21217288656947,45.30955242098195,45.30955242108195,45.40670962779007,45.40670962789007,45.502810778002456,45.50281077810246,45.59880076436265,45.59880076446265,45.69434609531411,45.69434609541411,45.78978026241339,45.78978026251339,45.88482535603003,45.88482535613003,45.979592540016206,45.97959254011621,46.16896016221029,46.16896016231029,46.263505018492104,46.263505018592106,46.35777196514346,46.357771965243465,46.45181658409045,46.45181658419045,46.54580562111135,46.54580562121135,46.639683494280064,46.639683494380066,46.73350578552269,46.73350578562269,46.920983622229656,46.92098362232966,47.014528003841825,47.01452800394183,47.10762773004525,47.10762773014525,47.20039396469214,47.20039396479214,47.29299345356075,47.29299345366075,47.47780335781532,47.47780335791532,47.56984702742301,47.56984702752301,47.661723951252426,47.66172395135243,47.75343412930357,47.75343412940357,47.84508872542862,47.84508872552862,47.93663215770149,47.93663215780149,48.02784209841781,48.02784209851781,48.301416338640664,48.301416338740665,48.39190371431779,48.39190371441779,48.48227992614274,48.48227992624274,48.66203187512298,48.66203187522298,48.84044985787701,48.84044985797701,48.929269775771395,48.9292697758714,49.01797852981359,49.01797852991359,49.10624262844705,49.10624262854705,49.19433998130224,49.194339981402244,49.37042352316043,49.370423523260435,49.45813180253298,49.458131802632984,49.54561775420116,49.54561775430116,49.632992542017156,49.63299254211716,49.72031174790706,49.72031174800706,49.80746420801869,49.807464208118695,49.89450550427814,49.894505504378145,49.981491218611495,49.9814912187115,50.06842135101876,50.068421351118765,50.24205928812892,50.24205928822892,50.328544765127454,50.328544765227456,50.414863496347714,50.414863496447715,50.50057082638096,50.50057082648096,50.58611141063594,50.58611141073594,50.67120733948218,50.67120733958218,50.755469539437044,50.755469539537046,50.839620575539726,50.83962057563973,50.922937882751036,50.92293788285104,50.96673644051122,50.96673644061122,50.97601862216852,50.97601862226852,50.980131684699295,50.9801316847993],[0.0,1e-10,3.2606025303116035,3.2606025304116035,5.495218286898339,5.495218286998339,7.151893175984606,7.151893176084606,8.61614343694175,8.61614343704175,10.07339037521135,10.07339037531135,11.473332347680511,11.473332347780511,12.700303366152609,12.700303366252609,13.915157524736737,13.915157524836737,15.12534280152917,15.12534280162917,16.280668717269194,16.280668717369192,17.434438339078653,17.43443833917865,18.558249302724736,18.558249302824734,19.680003735105434,19.680003735205432,20.792976223163656,20.792976223263654,21.895721636821026,21.895721636921024,22.964173002079875,22.964173002179873,23.98932604691337,23.989326047013368,25.002806887267624,25.002806887367623,25.959705326860632,25.95970532696063,26.880419932568007,26.880419932668005,27.79340865054865,27.793408650648647,28.66015320602108,28.660153206121077,29.49705026718232,29.49705026728232,30.301265155801698,30.301265155901696,31.09525297002022,31.095252970120217,31.888518219199554,31.888518219299552,32.67739249621765,32.67739249631765,33.46532188049219,33.46532188059219,34.25314010091454,34.253140101014544,35.02367234232241,35.023672342422415,35.77430625418949,35.77430625428949,36.50932164482482,36.509321644924825,37.2156011796708,37.2156011797708,37.91282086056385,37.91282086066385,38.596756461121,38.596756461221,39.27985833278678,39.27985833288678,39.95834690458695,39.958346904686955,40.636001747495754,40.636001747595756,41.30954352787378,41.30954352797378,41.980639703503776,41.98063970360378,42.650179585203205,42.650179585303206,43.31160450569325,43.311604505793255,43.971139640696194,43.971139640796196,44.6176686049937,44.617668605093705,45.2550265514861,45.2550265515861,45.88293557054291,45.882935570642914,46.50234055490772,46.50234055500772,47.12068948267678,47.12068948277678,47.73575907680644,47.73575907690644,48.341490907352714,48.341490907452716,48.946666918638066,48.94666691873807,49.5492861613232,49.549286161423204,50.14801466918193,50.148014669281935,50.741851967544605,50.74185196764461,51.334577627385436,51.33457762748544,51.91229616718154,51.91229616728154,52.468893575062836,52.46889357516284,52.979135656583736,52.97913565668374,53.48871075499154,53.48871075509154,53.9938948812381,53.9938948813381,54.49179777516666,54.49179777526666,54.987977629386386,54.98797762948639,55.480766986114524,55.480766986214526,55.972833777803466,55.97283377790347,56.46478940564023,56.464789405740234,56.95024194812428,56.95024194822428,57.423021811459435,57.42302181155944,57.89274466885956,57.89274466895956,58.36174496122049,58.36174496132049,58.82996710661614,58.82996710671614,59.29602155689422,59.29602155699422,59.75857434582852,59.75857434592852,60.219737586610535,60.21973758671054,60.67389750470501,60.67389750480501,61.12655671079501,61.12655671089501,61.57910475303283,61.57910475313283,62.03143046756628,62.03143046766628,62.483255944764906,62.48325594486491,62.93274698106769,62.93274698116769,63.381348706553,63.381348706653,63.828338556181656,63.82833855628166,64.26643529763565,64.26643529773565,64.70397621982875,64.70397621992875,65.1390715372738,65.1390715373738,65.5704984475968,65.5704984476968,66.0000355724327,66.0000355725327,66.85288464638222,66.85288464648222,67.27414006423048,67.27414006433048,67.68522398960395,67.68522398970396,68.09541860415997,68.09541860425998,68.5028897043375,68.50288970443751,68.9071926347278,68.90719263482781,69.30454782435666,69.30454782445666,69.69684505871119,69.69684505881119,70.08080500415197,70.08080500425197,70.45831744616612,70.45831744626612,70.83093867868422,70.83093867878422,71.19850195592798,71.19850195602798,71.56061820441477,71.56061820451477,71.92140048667534,71.92140048677534,72.27823645218342,72.27823645228342,72.61956506031194,72.61956506041194,72.96017110340128,72.96017110350128,73.30066598263844,73.30066598273844,73.6409941160973,73.6409941161973,73.9712619209336,73.9712619210336,74.29858388368704,74.29858388378705,74.62473862599255,74.62473862609255,74.94716937924993,74.94716937934993,75.2617074990023,75.2617074991023,75.57435583326756,75.57435583336756,75.88478089048915,75.88478089058916,76.19364965378018,76.19364965388019,76.49723813409251,76.49723813419251,76.79949264817864,76.79949264827864,77.40077792463758,77.40077792473758,77.69803006537546,77.69803006547546,77.99317009292186,77.99317009302186,78.28519753260714,78.28519753270714,78.57011048575268,78.57011048585268,78.85263341607629,78.85263341617629,79.1337667982476,79.13376679834761,79.40873058662277,79.40873058672277,79.68213808106735,79.68213808116735,79.95287764305954,79.95287764315954,80.21933739674267,80.21933739684268,80.48312921797341,80.48312921807342,80.74680987535197,80.74680987545197,81.00748910872159,81.00748910882159,81.25827475924689,81.25827475934689,81.5083934266591,81.5083934267591,81.75506601465362,81.75506601475362,82.00162743879596,82.00162743889597,82.24607674974682,82.24607674984682,82.48991465951067,82.48991465961068,82.7286946140002,82.7286946141002,82.96702991308098,82.96702991318098,83.20447590134431,83.20447590144431,83.44042117760316,83.44042117770316,83.67575505267499,83.67575505277499,83.90858774107271,83.90858774117271,84.13652921997436,84.13652922007437,84.36046880019742,84.36046880029743,84.581684866042,84.581684866142,84.7987322874297,84.7987322875297,85.01405666910857,85.01405666920857,85.22326703891736,85.22326703901736,85.42925365701282,85.42925365711282,85.62812578856858,85.62812578866858,85.82638651893731,85.82638651903731,86.02058976870137,86.02058976880137,86.2123474137174,86.2123474138174,86.40221527324631,86.40221527334631,86.58863705335754,86.58863705345755,86.77489208769049,86.77489208779049,86.95981315579725,86.95981315589725,87.14301118419517,87.14301118429518,87.32559781140608,87.32559781150609,87.50801769283872,87.50801769293872,87.68888128034078,87.68888128044078,87.86952254013849,87.86952254023849,88.0481072686708,88.0481072687708,88.22635850564657,88.22635850574657,88.40455416069624,88.40455416079624,88.58113793988926,88.58113793998926,88.75477587699942,88.75477587709942,88.92680193825292,88.92680193835292,89.09321422497118,89.09321422507118,89.25668066960658,89.25668066970658,89.41897989379406,89.41897989389406,89.58000073368143,89.58000073378143,89.73990993504697,89.73990993514697,89.89626189314264,89.89626189324264,90.04583285625513,90.04583285635513,90.18945655327583,90.18945655337583,90.32824462272656,90.32824462282656,90.46614338135983,90.46614338145983,90.60326399302781,90.60326399312781,90.74032902276969,90.74032902286969,90.87678265132458,90.87678265142458,91.012958370249,91.012958370349,91.1485782699125,91.14857827001251,91.28375351416727,91.28375351426727,91.41698339100884,91.41698339110884,91.54404367405425,91.54404367415425,91.67060371976483,91.67060371986483,91.79594096310139,91.79594096320139,91.9195551667291,91.9195551668291,92.042669133022,92.042669133122,92.1657275173888,92.1657275174888,92.28867473790342,92.28867473800342,92.41034357411795,92.41034357421795,92.53067844410626,92.53067844420626,92.64823421778999,92.64823421788999,92.7639557879127,92.76395578801271,92.87806548217877,92.87806548227877,92.9903409728838,92.9903409729838,93.10005969498862,93.10005969508862,93.20144112817971,93.20144112827971,93.30254465174032,93.30254465184032,93.40359259337485,93.40359259347485,93.50313982300491,93.50313982310492,93.6018533237436,93.6018533238436,93.69895494862563,93.69895494872563,93.79522284461628,93.79522284471628,93.89076817556774,93.89076817566774,93.98586885111047,93.98586885121047,94.08091394472711,94.08091394482712,94.1743471624871,94.1743471625871,94.26622408631651,94.26622408641651,94.35654471621535,94.35654471631536,94.44658743648375,94.44658743658375,94.53596317363905,94.53596317373905,94.62528332886825,94.62528332896825,94.71221346127551,94.71221346137551,94.79797637323486,94.79797637333486,94.88362812134201,94.88362812144202,94.96688984662724,94.96688984672724,94.99340242537292,94.99340242547292],[0.0,1e-10,0.8741369516426126,0.8741369517426126,1.5112725704306376,1.5112725705306376,2.066369266307459,2.066369266407459,2.596176185812602,2.596176185912602,3.0913555653626776,3.0913555654626776,3.5860902895040203,3.5860902896040203,4.076489623410218,4.076489623510218,4.548380175927912,4.548380176027912,5.018547688736767,5.018547688836767,5.476098104322829,5.476098104422829,5.931147333234768,5.931147333334768,6.357516288283441,6.357516288383441,6.7810505651014426,6.781050565201443,7.2024727287279635,7.2024727288279635,7.61822553589314,7.61822553599314,8.033422523797402,8.033422523897402,8.442894573314227,8.442894573414227,8.82724359223765,8.82724359233765,9.207535130556387,9.207535130656387,9.584491753309626,9.584491753409626,9.960392319467125,9.960392319567125,10.332179823093846,10.332179823193846,10.703189179755284,10.703189179855285,11.073587135229715,11.073587135329715,11.433813598229381,11.433813598329381,11.792483767298485,11.792483767398485,12.143483630566946,12.143483630666946,12.48136615927779,12.48136615937779,12.803407839052529,12.803407839152529,13.12317065985751,13.12317065995751,13.438486926575164,13.438486926675164,13.745521486305169,13.745521486405169,14.051666735217708,14.051666735317708,14.354921723973485,14.354921724073485,14.656231345316055,14.656231345416055,14.95731863895426,14.95731863905426,15.257071966366265,15.257071966466265,15.552267575838759,15.552267575938759,15.844795252858857,15.844795252958857,16.131375663787153,16.13137566388715,16.415010232632593,16.41501023273259,16.697199671399652,16.69719967149965,16.97544279341421,16.97544279351421,17.250239836011087,17.250239836111085,17.524925714755778,17.524925714855776,17.798944610387373,17.79894461048737,18.072630014462415,18.072630014562414,18.344314469198164,18.344314469298162,18.615721014303453,18.61572101440345,18.886182666665185,18.886182666765183,19.150919380639483,19.15091938073948,19.415100275352863,19.41510027545286,19.679170006214058,19.679170006314056,19.942016934701243,19.94201693480124,20.203918970444867,20.203918970544866,20.465598678484124,20.465598678584122,20.727222804597293,20.72722280469729,20.98545643321887,20.98545643331887,21.240744219757595,21.240744219857593,21.494642458144032,21.49464245824403,21.74665091104335,21.746650911143348,21.998325872386122,21.99832587248612,22.24883361328097,22.248833613380967,22.49567294705377,22.495672947153768,22.737843399034876,22.737843399134874,22.977401500489677,22.977401500589675,23.21629261883138,23.216292618931377,23.454350008281708,23.454350008381706,23.69190716039721,23.69190716049721,23.928130346286515,23.928130346386514,24.164186786397547,24.164186786497545,24.399909734952026,24.399909735052024,24.635188028097776,24.635188028197774,24.868910027312957,24.868910027412955,25.10246528074987,25.102465280849867,25.335297969147586,25.335297969247584,25.800685436312563,25.80068543641256,26.03285114159718,26.03285114169718,26.2643498637687,26.2643498638687,26.494236710083563,26.49423671018356,26.7209553866112,26.7209553867112,26.94539520416909,26.945395204269087,27.168723383205144,27.168723383305142,27.391940398389014,27.391940398489012,27.614823922016335,27.614823922116333,27.835539750526085,27.835539750626083,28.05586650555319,28.05586650565319,28.275970932875932,28.27597093297593,28.494852557824657,28.494852557924656,28.712733708103734,28.712733708203732,28.926501795852033,28.92650179595203,29.140214301674238,29.140214301774236,29.35337098823553,29.353370988335527,29.566305347092452,29.56630534719245,29.777461084314446,29.777461084414444,29.988394493832075,29.988394493932073,30.197993937123503,30.1979939372235,30.406759651523558,30.406759651623556,30.61519187436706,30.615191874467058,30.823290605654016,30.823290605754014,31.030611189975687,31.030611190075685,31.236875717701622,31.23687571780162,31.440416731049066,31.440416731149064,31.643068433579042,31.64306843367904,31.845108734922015,31.845108735022013,32.04620414352143,32.04620414362143,32.247188388268654,32.247188388368656,32.44772797760715,32.44772797770715,32.64771174768474,32.64771174778474,33.047568123987716,33.04756812408772,33.246607001321735,33.24660700142174,33.44425633050347,33.44425633060347,33.641016348867744,33.641016348967746,33.835942163670985,33.83594216377099,34.029589594174126,34.02958959427413,34.2216807307467,34.2216807308467,34.413549539614905,34.41354953971491,34.60441787381347,34.60441787391347,34.794063405638006,34.79406340573801,34.98293079049727,34.98293079059727,35.17129793802171,35.17129793812171,35.5472540861053,35.5472540862053,35.73350912043825,35.73350912053825,35.91909717165811,35.91909717175811,36.1044628951736,36.1044628952736,36.28871698016726,36.28871698026726,36.47124802545208,36.47124802555208,36.65327883340207,36.65327883350207,36.83525405942597,36.83525405952597,37.01672904811505,37.016729048215055,37.197814963321484,37.197814963421486,37.378345059267005,37.37834505936701,37.55870840943425,37.558708409534255,37.737904539153575,37.73790453925358,37.91682275924244,37.916822759342445,38.09562981547912,38.09562981557912,38.274103380159254,38.274103380259255,38.45190996172629,38.45190996182629,38.62882723247585,38.62882723257585,38.80568892129933,38.80568892139933,38.98210595471407,38.982105954814074,39.15707785805043,39.15707785815043,39.331493942125874,39.331493942225876,39.505409788866494,39.505409788966496,39.67893656212448,39.67893656222448,39.8515184426389,39.8515184427389,40.023655667744585,40.02365566784459,40.19490358203281,40.19490358213281,40.36609591439494,40.36609591449494,40.536788009422246,40.53678800952225,40.70597939244508,40.70597939254508,40.87500402968964,40.87500402978964,41.04313935611673,41.043139356216734,41.37846511622737,41.37846511632737,41.54559996798481,41.545599968084815,41.71184550892479,41.71184550902479,41.87675708363857,41.876757083738575,42.04161307642626,42.04161307652626,42.20630232343567,42.206302323535674,42.369768768071076,42.36976876817108,42.5330684669282,42.5330684670282,42.69492303570694,42.694923035806944,42.856055039446495,42.8560550395465,43.01663122392513,43.01663122402513,43.17681833492112,43.176818335021125,43.33667195436057,43.33667195446057,43.49630324609565,43.49630324619565,43.655489882421996,43.655489882522,43.81400953563524,43.814009535735245,43.970639403361375,43.97063940346138,44.12710252530923,44.127102525409235,44.28295424607008,44.28295424617008,44.438694802978745,44.43869480307875,44.59415745025696,44.59415745035696,44.7493977698308,44.7493977699308,44.90441576170027,44.90441576180027,45.059155843939294,45.059155844039296,45.21384034425222,45.21384034435222,45.367135296412854,45.367135296512856,45.519930011238664,45.519930011338666,45.67122401406,45.67122401416,45.821517542211694,45.821517542311696,45.9716999065112,45.9716999066112,46.121493197328064,46.121493197428066,46.27106416044057,46.27106416054057,46.420190468144334,46.420190468244336,46.56898328429155,46.56898328439155,46.71760935466049,46.71760935476049,46.865790769620695,46.8657907697207,47.01330520146781,47.01330520156781,47.16037497790619,47.16037497800619,47.30700009893583,47.30700009903583,47.45179101640445,47.45179101650445,47.59652635194698,47.59652635204698,47.74087261400687,47.74087261410687,47.88505213028848,47.88505213038848,48.028564663457,48.028564663557,48.17202161469942,48.17202161479942,48.31486716475484,48.31486716485484,48.456767822066695,48.4567678221667,48.59844615167418,48.59844615177418,48.740013317429494,48.740013317529495,48.88108024584997,48.881080245949974,49.021924846566094,49.021924846666096,49.16154664490819,49.161546645008194,49.30094611554593,49.300946115645935,49.440178840405395,49.440178840505396,49.579189237560485,49.579189237660486,49.85654304875758,49.85654304885758,49.994552971243024,49.994552971343026,50.13206265639364,50.132062656493645,50.2693500138399,50.2693500139399,50.40652620743397,50.40652620753397,50.68060068499166,50.68060068509166,50.817332223177,50.817332223277,50.95395259751015,50.953952597610154,51.09051738991722,51.09051739001722,51.22702660039819,51.22702660049819,51.36303557354434,51.36303557364434,51.4989333828383,51.498933382938304,51.63455328250181,51.634553282601814,51.76861688823475,51.768616888334755,51.90173560122414,51.90173560132414,52.0336870937656,52.0336870938656,52.16541625860269,52.16541625870269,52.29675634995715,52.29675635005715,52.42804085938551,52.42804085948551,52.558658385700774,52.558658385800776,52.68877567468121,52.68877567478121,52.8185594721051,52.8185594722051,52.947231631007156,52.94723163110716,53.075570298352666,53.07557029845267,53.203742219919896,53.2037422200199,53.33180297763494,53.331802977734945,53.459474661867354,53.459474661967356,53.58675727261712,53.58675727271712,53.71342848217988,53.71342848227988,53.83976620018609,53.83976620028609,53.96577042663575,53.96577042673575,54.09166348923323,54.09166348933323,54.21677840486542,54.216778404965424,54.34122633738451,54.341226337484514,54.46528519642097,54.46528519652097,54.7132361687156,54.713236168815605,54.83662804463896,54.83662804473896,54.958963863966574,54.958963864066575,55.080743864033266,55.08074386413327,55.202412700247784,55.202412700347786,55.44436082452452,55.444360824624525,55.56441778488238,55.56441778498238,55.684363581388055,55.68436358148806,55.80414263211546,55.80414263221546,55.92381051899068,55.92381051909068,56.04297816853107,56.04297816863107,56.16164558073664,56.16164558083664,56.3988136593695,56.3988136594695,56.517147580018516,56.51714758011852,56.63475893562835,56.63475893572835,56.75225912738599,56.75225912748599,56.86948140951318,56.86948140961318,56.986481363936,56.986481364036,57.103370154506635,57.10337015460664,57.220203363151185,57.22020336325119,57.33636958868263,57.33636958878263,57.45248023228798,57.452480232387984,57.684645937572604,57.684645937672606,57.91670047900504,57.91670047910504,58.032588794906026,58.03258879500603,58.148421528880924,58.148421528980926,58.26386518937318,58.26386518947318,58.37925326793935,58.37925326803935,58.494252273022866,58.49425227312287,58.60908453232812,58.60908453242812,58.72347213622463,58.72347213632463,58.95191385246111,58.95191385256111,59.065912382874984,59.065912382974986,59.179799749436675,59.17979974953668,59.40707424522523,59.407074245325234,59.520350210599915,59.52035021069992,59.633459430196325,59.63345943029633,59.74606841245791,59.74606841255791,59.85773250197594,59.85773250207594,59.96822937104604,59.968229371146045,60.07783692929868,60.07783692939868,60.18694425021649,60.18694425031649,60.295940407282124,60.295940407382126,60.40438074508683,60.404380745186835,60.51232084555672,60.512320845656724,60.62020536410052,60.62020536420052,60.727867554939955,60.72786755503996,60.83458485303583,60.83458485313583,60.94107982342734,60.94107982352734,61.0471857203362,61.047185720436204,61.25889727681911,61.258897276919114,61.36378037135396,61.36378037145396,61.467885318923535,61.46788531902354,61.57193468456701,61.57193468466701,61.675872886358306,61.67587288645831,61.77925526888868,61.779255268988685,61.88258206949297,61.88258206959297,61.98551979661462,61.98551979671462,62.08806845025362,62.088068450353624,62.3952697557619,62.395269755861904,62.59936658837026,62.59936658847026,62.70074802156134,62.70074802166134,62.802018290900236,62.80201829100024,62.90306623253477,62.90306623263477,63.003502772982294,63.003502773082296,63.10366140379936,63.10366140389936,63.20343096113378,63.203430961233785,63.30308935461602,63.30308935471602,63.40258100231999,63.40258100241999,63.50185032231959,63.50185032241959,63.60089731461482,63.60089731471482,63.69983314305787,63.699833143157875,63.79860222572265,63.79860222582265,63.89720456260915,63.89720456270915,63.995584571791284,63.995584571891285,64.09318643400813,64.09318643410813,64.19056596852062,64.19056596862062,64.28788992110701,64.28788992120701,64.48225991664934,64.48225991674934,64.57925037767919,64.57925037777919,64.67496245440893,64.67496245450893,64.7703410395821,64.77034103968211,64.86544171512485,64.86544171522485,64.96004215333275,64.96004215343275,65.05453142768847,65.05453142778848,65.14857604663545,65.14857604673546,65.2422871740259,65.2422871741259,65.33577597371197,65.33577597381198,65.42848662643276,65.42848662653276,65.52108611530137,65.52108611540137,65.6135188583917,65.6135188584917,65.70578485570377,65.70578485580377,65.79782852531146,65.79782852541146,65.88981661299306,65.88981661309306,65.98174911874857,65.98174911884857,66.16516947485084,66.16516947495084,66.25649057941935,66.25649057951935,66.34764493820957,66.34764493830957,66.43824347773888,66.43824347783888,66.52873085341601,66.52873085351601,66.61866240983223,66.61866240993223,66.70837163854407,66.70837163864407,66.79802528532981,66.79802528542982,66.88751218633729,66.88751218643729,66.97672117771431,66.97672117781431,67.06570784138697,67.06570784148697,67.24351442295401,67.24351442305401,67.3322231769962,67.3322231770962,67.42082076718621,67.42082076728622,67.59773803793577,67.59773803803577,67.68594655464315,67.68594655474315,67.77382157979397,67.77382157989398,67.86147427724042,67.86147427734042,67.9490158108347,67.9490158109347,68.12398771417105,68.12398771427105,68.2110845923566,68.2110845924566,68.29762565128122,68.29762565138122,68.38399996442757,68.38399996452758,68.47015194986955,68.47015194996955,68.55624835338544,68.55624835348544,68.64206684727087,68.64206684737087,68.72766301345193,68.72766301355193,68.81309243385473,68.81309243395474,68.89835510847925,68.89835510857925,68.98345103732548,68.98345103742548,69.06815789268909,69.06815789278909,69.15258683842222,69.15258683852223,69.32100007447978,69.32100007457979,69.48885749127642,69.48885749137642,69.57084083226152,69.57084083236153,69.65265742746837,69.65265742756837],[0.0,1e-10,3.64022708551724,3.64022708561724,6.978032911170077,6.978032911270077,10.240747554673161,10.240747554773161,13.41369738753831,13.41369738763831,16.52311707888076,16.523117078980757,19.441835181802922,19.44183518190292,22.340766119036477,22.340766119136475,25.229970219204,25.229970219303997,28.002841348061803,28.0028413481618,30.757370441309376,30.757370441409375,33.33798368781633,33.337983687916335,35.604447888053556,35.60444788815356,37.858183827215804,37.858183827315806,40.033827160219346,40.03382716031935,42.11192421293214,42.11192421303214,44.16428683386451,44.16428683396451,46.16534733701434,46.16534733711434,48.02645255026552,48.02645255036552,49.80857584654053,49.80857584664053,51.526557600105825,51.52655760020583,53.08668668357098,53.08668668367098,54.611243334337516,54.61124333443752,56.117847022976456,56.11784702307646,57.56603410729313,57.56603410739313,59.009607891744196,59.0096078918442,60.37920213256734,60.379202132667345,61.70082917117343,61.70082917127343,63.007060016252154,63.007060016352156,64.2873341018461,64.2873341019461,65.53231366437187,65.53231366447187,66.74550036517326,66.74550036527326,67.951628161361,67.951628161461,69.1343003847381,69.1343003848381,70.2897374643303,70.2897374644303,71.43394699485201,71.43394699495201,72.55386722367167,72.55386722377168,73.64588532559337,73.64588532569337,74.70727778623858,74.70727778633858,76.792433743565,76.792433743665,77.72509846338207,77.72509846348207,78.48473664727598,78.48473664737598,79.23987269515648,79.23987269525648,79.98178024462717,79.98178024472718,80.711626516136,80.711626516236,81.43041198435257,81.43041198445258,82.11773808240132,82.11773808250132,82.7326965126788,82.7326965127788,83.33831717937288,83.33831717947288,83.8980271751153,83.8980271752153,84.44906639038744,84.44906639048745,84.97726143403592,84.97726143413593,85.50301087293639,85.50301087303639,86.01158549667453,86.01158549677453,86.50404136184612,86.50404136194612,86.97626540592036,86.97626540602036,87.41408423774391,87.41408423784391,87.81471876101217,87.81471876111218,88.18133714551237,88.18133714561237,88.54784436616039,88.54784436626039,88.9077373376035,88.90773733770351,89.25623601419785,89.25623601429785,89.58589241784713,89.58589241794714,89.9030984700519,89.9030984701519,90.21730309824773,90.21730309834773,90.5139994197247,90.5139994198247,90.8071940798579,90.8071940799579,91.09043957522069,91.09043957532069,91.37035015501799,91.37035015511799,91.63208544498335,91.63208544508335,91.88737323152206,91.88737323162206,92.11759356939348,92.11759356949348,92.32085667311047,92.32085667321047,92.5237862852709,92.5237862853709,92.72482611194422,92.72482611204423,92.91324884139475,92.91324884149475,93.0962801240144,93.0962801241144,93.2763099826251,93.2763099827251,93.44900302699169,93.44900302709169,93.6196395400929,93.6196395401929,93.77015539594896,93.77015539604896,93.91666935312642,93.91666935322642,94.03956099171496,94.03956099181497,94.15572721724641,94.15572721734641,94.26716897906006,94.26716897916006,94.3768321192388,94.3768321193388,94.47743540546459,94.47743540556459,94.57764961820774,94.57764961830775,94.66457975061502,94.66457975071502],[0.0,1e-10,9.108877211743794,9.108877211843794,17.313436485977235,17.313436486077233,24.840729990784517,24.840729990884515,30.80250296529576,30.802502965395757,36.67417763761251,36.67417763771251,41.77732101786069,41.777321017960695,46.84177937754912,46.841779377649125,51.509104875313064,51.509104875413065,55.935204813839455,55.93520481393946,59.43525428175368,59.43525428185368,62.82391756978033,62.82391756988033,66.16761507959887,66.16761507969888,69.38725373038098,69.38725373048098,71.94891354009069,71.94891354019069,73.32367690004035,73.32367690014036,74.69338230471568,74.69338230481569,76.03590814753221,76.03590814763221,77.37715560604865,77.37715560614865,78.62246866013098,78.62246866023098,79.814200737461,79.814200737561,80.7042897018919,80.7042897019919,81.51739769868593,81.51739769878593,82.2734230573839,82.2734230574839,82.87109550864687,82.87109550874688,83.2647267092276,83.2647267093276,83.57737504349285,83.57737504359285,83.77841487016617,83.77841487026618,83.92615162971765,83.92615162981765,84.03864944812706,84.03864944822706],[0.0,1e-10,7.896024002498963,7.896024002598963,15.432877598593999,15.432877598693999,21.89966795357353,21.89966795367353,28.304651206739198,28.304651206839196,34.286100183086866,34.28610018318687,40.17984088006199,40.17984088016199,45.16898572989629,45.168985729996294,49.96959668642789,49.96959668652789,54.60829749225466,54.60829749235466,58.6224241945901,58.622424194690105,61.975737377622494,61.975737377722496,65.0788207293905,65.0788207294905,68.15666988671292,68.15666988681292,71.13063642417013,71.13063642427014,73.8613208711244,73.86132087122441,76.43720965391358,76.43720965401359,78.4581129046781,78.4581129047781,79.95421160928574,79.95421160938574,81.43652599622266,81.43652599632266,82.81568032833356,82.81568032843356,84.14264323184445,84.14264323194445,85.39362564238812,85.39362564248812,86.61692825373817,86.61692825383817,87.81822042235594,87.81822042245594,88.96765465393025,88.96765465403026,90.10308224012948,90.10308224022948,91.1274571379977,91.1274571380977,91.95006964415339,91.95006964425339,92.71565509413911,92.71565509423911,93.3655745559282,93.3655745560282,93.98459046681036,93.98459046691036,94.41340502660707,94.41340502670707,94.75339966850939,94.75339966860939,95.06804895211394,95.06804895221394,95.29760230687226,95.29760230697227,95.42143883820435,95.42143883830435,95.54227394552748,95.54227394562749,95.65549432897608,95.65549432907608],[0.0,1e-10,9.108932793669885,9.108932793769885,17.256409429807253,17.25640942990725,24.783814098466717,24.783814098566715,31.861783312749495,31.861783312849493,37.733457985066245,37.73345798516625,43.31166008761935,43.31166008771935,48.75146319420436,48.751463194304364,53.72726838177669,53.72726838187669,57.928317101558186,57.92831710165819,62.06650266293008,62.06650266303008,65.45516595095673,65.45516595105673,68.702817892489,68.702817892589,71.72964284165933,71.72964284175933,74.47138809190582,74.47138809200582,76.4846766187958,76.4846766188958,78.36473526884421,78.36473526894422,80.2284528326217,80.2284528327217,81.8915196432085,81.8915196433085,83.38105968053732,83.38105968063732,84.75598978626526,84.75598978636526,86.1275849764277,86.1275849765277,87.49717921725085,87.49717921735085,88.73687849679793,88.73687849689793,89.94500724232498,89.94500724242498,91.11139396135722,91.11139396145722,91.92450195815125,91.92450195825126,92.68052731684922,92.68052731694922,93.36068334643214,93.36068334653214,93.95552111946445,93.95552111956445,94.48416081852167,94.48416081862167,95.00679766956101,95.00679766966101,95.3727490709481,95.3727490710481,95.68539740521337,95.68539740531337,95.7811650638692,95.7811650639692],[0.0,1e-10,0.708224902259183,0.708224902359183,1.3212935470495446,1.3212935471495446,1.8344258887272071,1.8344258888272071,2.3027591979750395,2.3027591980750395,2.7637001110526884,2.7637001111526884,3.2233626398302304,3.2233626399302304,3.6744099700635746,3.6744099701635746,4.122844949770613,4.122844949870613,4.563276132120461,4.563276132220461,4.995314443630478,4.995314443730478,5.418626392744113,5.418626392844113,5.841215776818557,5.841215776918557,6.263638415114727,6.263638415214727,6.674722340488209,6.674722340588209,7.084750209265952,7.084750209365952,7.489553376991084,7.489553377091084,7.887797877437406,7.887797877537406,8.28570888632718,8.28570888642718,8.662609927154328,8.662609927254328,9.037287690937811,9.037287691037811,9.410020087308089,9.410020087408089,9.777138709143117,9.777138709243117,10.51004198658697,10.51004198668697,10.874992913304423,10.874992913404423,11.234885884747541,11.234885884847541,11.592110923738263,11.592110923838263,11.947501759167961,11.947501759267961,12.300280244071354,12.300280244171354,12.648945666443968,12.648945666543968,12.996888523777391,12.996888523877391,13.337550148792817,13.337550148892817,13.675543841355843,13.675543841455843,14.011258674949115,14.011258675049115,14.344861395350906,14.344861395450906,14.674073143591459,14.674073143691459,14.991835015057143,14.991835015157143,15.307429191405255,15.307429191505255,15.62207847500981,15.62207847510981,15.935949611649082,15.935949611749082,16.246263505018494,16.246263505118492,16.55646623453572,16.556466234635717,16.861833336482977,16.861833336582976,17.164921579460476,17.164921579560474,17.46217372019836,17.46217372029836,17.759036787453603,17.7590367875536,18.05150888254761,18.051508882647607,18.343536322232882,18.34353632233288,18.634563287248504,18.634563287348502,18.921977427068175,18.921977427168173,19.208891329553023,19.20889132965302,19.494360101959487,19.494360102059485,19.77643837687436,19.776438376974358,20.05379218807145,20.05379218817145,20.32897830415097,20.328978304250967,20.59793924450823,20.597939244608227,20.86667785716112,20.866677857261116,21.1315257349876,21.1315257350876,21.395762211627073,21.39576221172707,21.655218642622668,21.655218642722666,21.91395250857907,21.913952508679067,22.171908227570192,22.17190822767019,22.428863471891663,22.42886347199166,22.684262422282572,22.68426242238257,22.93549272821661,22.935492728316607,23.18233206198941,23.182332062089408,23.42778184760992,23.42778184770992,23.66784018639955,23.667840186499546,23.90784294326308,23.90784294336308,24.147790118200525,24.147790118300524,24.38540285224212,24.385402852342118,24.622404185096705,24.622404185196704,24.85657083972062,24.85657083982062,25.090292838935806,25.090292839035804,25.323069945407433,25.32306994550743,25.552123062830923,25.55212306293092,25.780064541732578,25.780064541832576,26.230889544261554,26.230889544361553,26.451549790845213,26.45154979094521,26.66976443268084,26.669764432780838,26.887590001033825,26.887590001133823,27.103692529677968,27.103692529777966,27.319016911356833,27.31901691145683,27.534285711109604,27.534285711209602,27.748831945823184,27.748831945923182,27.962544451645392,27.96254445174539,28.175867883984957,28.175867884084955,28.387968513950508,28.387968514050506,28.5991242511725,28.5991242512725,28.810057660690127,28.810057660790125,29.019268030498914,29.019268030598912,29.22814490875115,29.22814490885115,29.43674387737293,29.436743877472928,29.644064461694605,29.644064461794603,29.85116271831191,29.85116271841191,30.056982590629108,30.056982590729106,30.26107942323747,30.261079423337467,30.465009510067553,30.46500951016755,30.668494941488905,30.668494941588904,30.8710354801667,30.8710354802667,31.073186945361854,31.073186945461853,31.274226772035178,31.274226772135176,31.67525036878608,31.67525036888608,31.873900172637462,31.87390017273746,32.07010437174082,32.07010437184082,32.266197406991985,32.26619740709199,32.46217927839097,32.46217927849097,32.65649369200721,32.65649369210721,32.848807156284145,32.84880715638415,33.039564326630526,33.03956432673053,33.420689593840635,33.42068959394064,33.61022396181299,33.61022396191299,33.798146453928695,33.798146454028696,33.98579103641394,33.985791036513945,34.1720460707469,34.1720460708469,34.3580231954494,34.3580231955494,34.72986628100221,34.72986628110221,34.915120840665516,34.91512084076552,35.09804095943298,35.09804095953298,35.28079433242216,35.28079433252216,35.46104651873722,35.46104651883722,35.64068730386528,35.64068730396528,35.819605523954145,35.81960552405415,35.998468162116914,35.998468162216916,36.17638590753613,36.17638590763613,36.352247121689956,36.35224712178996,36.52766368043505,36.52766368053505,36.7020241825844,36.702024182684404,36.873272096872626,36.87327209697263,37.213933721888054,37.213933721988056,37.382124630241236,37.38212463034124,37.54959297355523,37.54959297365523,37.716950153017045,37.71695015311705,37.883584767439665,37.883584767539666,38.04832959637517,38.04832959647517,38.21229627834539,38.21229627844539,38.37448433868069,38.37448433878069,38.53600541590288,38.53600541600288,38.697304165420704,38.697304165520706,38.85821384145589,38.858213841555894,39.01901235363889,39.019012353738894,39.179421792339255,39.17942179243926,39.33894192022215,39.33894192032215,39.498239720400676,39.49823972050068,39.657037283244385,39.65703728334439,39.81561251838372,39.815612518483725,39.97413217159697,39.97413217169697,40.130984367027466,40.13098436712747,40.28778098053188,40.28778098063188,40.44452201211019,40.44452201221019,40.598428365457835,40.59842836555784,40.75227913687939,40.75227913697939,41.05981393394421,41.059813934044215,41.213108886104855,41.21310888620486,41.36623709248721,41.36623709258721,41.516586202564994,41.516586202664996,41.6661571656775,41.6661571657775,41.81411625293334,41.81411625303334,41.96185301248481,41.96185301258481,42.10925628047974,42.10925628057974,42.2564372207703,42.2564372208703,42.403562579134764,42.403562579234766,42.54974304475568,42.54974304485568,42.69536769111567,42.69536769121567,42.840714427845214,42.840714427945215,42.98578325494429,42.98578325504429,43.13074091819119,43.13074091829119,43.275587417585896,43.2755874176859,43.41993367964579,43.41993367974579,43.5627792297012,43.5627792298012,43.70534687012616,43.70534687022616,43.84769218284675,43.84769218294675,43.98975958593688,43.98975958603688,44.273672064412786,44.27367206451279,44.41535039402027,44.415350394120274,44.556750813997304,44.556750814097306,44.69742866893515,44.697428669035155,44.83755070461208,44.83755070471208,44.97750599451073,44.97750599461073,45.1173501205572,45.1173501206572,45.25669400926884,45.25669400936884,45.39570440642394,45.39570440652394,45.53421456624421,45.53421456634421,45.67194657909919,45.671946579199194,45.80856695343235,45.80856695353235,45.94507616391332,45.94507616401332,46.08102955513338,46.08102955523338,46.21626038131424,46.216260381414244,46.35099097016029,46.35099097026029,46.485499231301965,46.48549923140197,46.619507255108815,46.619507255208816,46.75334853313739,46.75334853323739,46.886856319609414,46.886856319709416,47.01903013985524,47.01903013995524,47.15092605047061,47.15092605057061,47.2827107972338,47.2827107973338,47.41432879821871,47.414328798318714,47.545724471499256,47.54572447159926,47.80846023613425,47.808460236234254,47.939744745562614,47.939744745662615,48.07013994417351,48.070139944273514,48.19947908618867,48.19947908628867,48.32753984390372,48.327539844003724,48.455211528136125,48.45521152823613,48.582772048516354,48.582772048616356,48.710276986970484,48.710276987070486,48.837281688089796,48.8372816881898,48.96423080728301,48.96423080738301,49.09034619758486,49.09034619768486,49.21596135055187,49.215961350651874,49.34118743003625,49.34118743013625,49.46635792759454,49.46635792769454,49.59058353240926,49.590583532509264,49.71458680951963,49.71458680961963,49.83814543122126,49.83814543132126,49.96153730714461,49.96153730724461,50.08465127343751,50.08465127353751,50.207654075878224,50.207654075978226,50.33060129639284,50.330601296492844,50.45349293498138,50.45349293508138,50.57610666393945,50.57610666403945,50.69860922904534,50.69860922914534,50.820833884520766,50.82083388462077,50.94278063036574,50.94278063046574,51.064338302728075,51.06433830282808,51.18511782812512,51.185117828225124,51.3057306077439,51.3057306078439,51.42600989580612,51.42600989590612,51.54612243809007,51.546122438190075,51.665012178000005,51.66501217810001,51.78384633598385,51.783846336083855,51.90234700241114,51.90234700251114,52.0204585953558,52.0204585954558,52.13740296785252,52.137402967952525,52.253624775310065,52.25362477541007,52.36929076350668,52.369290763606685,52.484734423998944,52.484734424098946,52.600066920639016,52.60006692073902,52.715343835352996,52.715343835453,52.82995376695388,52.82995376705388,52.944341370850395,52.9443413709504,53.05845106511645,53.05845106521645,53.17217168589987,53.17217168599987,53.285669978978916,53.28566997907892,53.39839012509268,53.398390125192684,53.5101097965368,53.510109796636804,53.62144039449828,53.62144039459828,53.73260424668148,53.732604246781484,53.84332344345595,53.84332344355595,54.06420601774398,54.06420601784398,54.17431381333144,54.17431381343144,54.28403253543626,54.28403253553626,54.393640093688894,54.393640093788896,54.50219159534579,54.502191595445794,54.61018727774177,54.610187277841774,54.71796063243339,54.71796063253339,54.82545607749454,54.825456077594545,54.93272919485133,54.932729194951335,55.03983556642985,55.03983556652985,55.14616379104309,55.14616379114309,55.252436433730225,55.252436433830226,55.358375584860816,55.35837558496082,55.46425915406532,55.46425915416532,55.569308994378446,55.56930899447845,55.674247670839385,55.67424767093939,55.77896401959596,55.77896401969596,55.883124549091626,55.88312454919163,55.98711833280901,55.98711833290901,56.09022280570893,56.090222805808935,56.39936947863042,56.39936947873042,56.50214045997379,56.50214046007379,56.60424445820406,56.60424445830406,56.705459145616864,56.705459145716866,56.80656266917749,56.80656266927749,56.90749944695983,56.907499447059834,57.00838064281609,57.008380642916094,57.108539273633156,57.10853927373316,57.3088009533412,57.3088009534412,57.4087372564539,57.4087372565539,57.50850681378832,57.508506813888324,57.607998461492286,57.60799846159229,57.70704545378752,57.707045453887524,57.80564779067402,57.805647790774024,57.90402779985615,57.904027799956154,58.0023522271122,58.0023522272122,58.10039874473778,58.10039874483778,58.19833409851118,58.198334098611184,58.29621387035849,58.296213870458494,58.39381573257534,58.39381573267534,58.491306430940014,58.491306431040016,58.58874154737859,58.58874154747859,58.68523177107361,58.68523177117361,58.78155524899035,58.78155524909035,58.87737848957227,58.877378489672274,58.97309056630201,58.973090566402014,59.06874706110566,59.06874706120566,59.16434797398321,59.16434797408321,59.2597265591564,59.2597265592564,59.355049562403494,59.355049562503496,59.450150237946225,59.45015023804623,59.54469509422804,59.54469509432804,59.63879529510112,59.63879529520112,59.732728750195925,59.73272875029593,59.82605080410372,59.826050804203724,59.9188726206767,59.9188726207767,60.01163885532358,60.011638855423584,60.19633759572597,60.19633759582597,60.2874919545162,60.2874919546162,60.378535149454244,60.378535149554246,60.46941159861401,60.46941159871401,60.559843392365046,60.55984339246505,60.650219604189985,60.65021960428999,60.830860863987695,60.8308608640877,60.92107033003436,60.92107033013436,61.011168632228845,61.01116863232885,61.10121135249724,61.10121135259724,61.28101888340357,61.28101888350357,61.37056136633714,61.370561366437144,61.459881521566345,61.45988152166635,61.54897934909118,61.54897934919118,61.638021594689924,61.638021594789926,61.7268970945104,61.7268970946104,61.8148832835134,61.814883283613405,61.90248039903376,61.902480399133765,61.98974402299758,61.98974402309758,62.07689648310921,62.07689648320921,62.16388219744256,62.16388219754256,62.25081232984983,62.25081232994983,62.424339103107805,62.42433910320781,62.51037992469761,62.51037992479761,62.59575376317431,62.59575376327431,62.68090527394664,62.680905274046644,62.76594562086679,62.76594562096679,62.85087480393476,62.85087480403476,62.935470495446175,62.93547049554618,63.01978827732713,63.01978827742713,63.188312677236866,63.18831267733687,63.27190789407864,63.27190789417864,63.355114037437765,63.35511403753777,63.437764361535976,63.43776436163598,63.519692120594996,63.519692120695,63.60084173268873,63.60084173278873,63.68099087011282,63.680990870212824,63.75686019922786,63.75686019932786,63.82861646581211,63.82861646591211,63.86769055985451,63.86769055995451],[0.0,1e-10,0.9578989142626557,0.9578989143626557,1.8091361123555287,1.8091361124555287,2.519862201288834,2.519862201388834,3.211857181129269,3.211857181229269,3.8853433795812014,3.8853433796812014,4.554327442019714,4.554327442119714,5.218309131109982,5.218309131209982,5.86456018577703,5.86456018587703,6.5074207429524895,6.5074207430524895,7.141721683509843,7.141721683609843,7.75012144650851,7.75012144660851,8.354574892754673,8.354574892854673,8.937295805899021,8.937295805999021,9.481053788853156,9.481053788953156,10.01992056231123,10.01992056241123,10.55206192271222,10.55206192281222,11.08248024340437,11.08248024350437,11.608229682304827,11.608229682404827,12.115803831373329,12.115803831473329,12.607759459210092,12.607759459310092,13.089543594572092,13.089543594672092,14.050610678621968,14.050610678721968,14.521445174543922,14.521445174643922,14.98961173801348,14.98961173811348,15.440881395951191,15.440881396051191,15.889594285288688,15.889594285388688,16.332137580830015,16.332137580930013,16.774069475184337,16.774069475284335,17.210276431151225,17.210276431251224,17.642425906513424,17.642425906613422,18.069906500083928,18.069906500183926,18.475821306330893,18.47582130643089,18.87423255255549,18.87423255265549,19.272477053001815,19.272477053101813,19.66805362099574,19.668053621095737,20.06240738661565,20.06240738671565,20.45570509563982,20.45570509573982,20.84544556139413,20.845445561494127,21.2327960043265,21.232796004426497,21.615866638949814,21.615866639049813,21.99026649310284,21.99026649320284,22.36316563525139,22.36316563535139,22.723947917511975,22.723947917611973,23.069723079727826,23.069723079827824,23.414608931126214,23.414608931226212,23.75610428503301,23.75610428513301,24.097544057013717,24.097544057113716,24.432425161715614,24.432425161815612,24.767028356787055,24.767028356887053,25.100408749484476,25.100408749584474,25.433233322920987,25.433233323020985,25.76216716153108,25.76216716163108,26.089711451988887,26.089711452088885,26.41225336909845,26.41225336919845,26.731460370642516,26.731460370742514,27.047221292768903,27.0472212928689,27.362815469117013,27.36281546921701,27.6779094081303,27.6779094082303,27.991891708621758,27.991891708721756,28.614853936256424,28.614853936356422,28.91499633715107,28.91499633725107,29.214471754932617,29.214471755032616,29.511168076409586,29.511168076509584,29.805140883508063,29.80514088360806,30.09761297860207,30.097612978702067,30.386305502721846,30.386305502821845,30.674275461802434,30.674275461902432,30.96196751125256,30.961967511352558,31.245101842763177,31.245101842863175,31.52634638878668,31.52634638888668,31.804811838505604,31.804811838605602,32.082832632815794,32.082832632915796,32.35996411630852,32.35996411640852,32.63620628898377,32.63620628908377,32.90861330875871,32.90861330885871,33.17679610215069,33.17679610225069,33.442533290794636,33.44253329089464,33.70626953009928,33.70626953019928,33.967115509247165,33.96711550934717,34.22779474261677,34.227794742716775,34.48613953509054,34.48613953519054,34.74242779629891,34.742427796398914,34.99754883705936,34.997548837159364,35.25255871396763,35.25255871406763,35.506512534280155,35.50651253438016,35.757965167918556,35.75796516801856,36.008750818443865,36.00875081854387,36.25920297741262,36.25920297751262,36.50704278585507,36.50704278595507,36.754437938888785,36.75443793898879,37.00061028954848,37.000610289648485,37.24544867398199,37.24544867408199,37.48595166818035,37.48595166828035,37.72512069615251,37.72512069625251,37.964122978346396,37.9641229784464,38.202347113574994,38.202347113674996,38.439404028355675,38.43940402845568,38.676405361210264,38.676405361310266,38.912128309764746,38.91212830986475,39.1466840378713,39.146684037971305,39.38040603708649,39.38040603718649,39.846905142773295,39.8469051428733,40.07890410227964,40.07890410237964,40.30962467748587,40.30962467758587,40.54017850691383,40.540178507013835,40.76984302552433,40.76984302562433,40.9990073068,40.999007306900005,41.224725508658,41.224725508758,41.44944323584634,41.44944323594634,41.67332723414331,41.67332723424331,41.89698890473591,41.896988904835915,42.11992801028933,42.11992801038933,42.34220013272964,42.34220013282964,42.5634717805003,42.5634717806003,42.783298298192584,42.783298298292586,43.222617842020604,43.222617842120606,43.440276664595316,43.44027666469532,43.657601995613476,43.65760199571348,43.87409359774026,43.874093597840265,44.09047403601487,44.09047403611487,44.30624307310246,44.30624307320246,44.5190662681072,44.519066268207204,44.73166713540758,44.73166713550758,44.941600070255554,44.941600070355555,45.151199513546985,45.151199513646986,45.36074337491232,45.36074337501232,45.568786524273186,45.56878652437319,45.77610710859486,45.77610710869486,45.983094201359975,45.98309420145998,46.19002571219901,46.19002571229901,46.39512301947702,46.39512301957702,46.600053580976756,46.60005358107676,46.80442832321557,46.80442832331557,47.008636319676114,47.008636319776116,47.212232914949645,47.21223291504965,47.41494019940572,47.41494019950572,47.616758173044325,47.616758173144326,47.81796474549592,47.81796474559592,48.01844875290833,48.01844875300833,48.21854368683809,48.21854368693809,48.41847187498958,48.41847187508958,48.61706609691487,48.61706609701487,48.81232540327466,48.812325403374665,49.00580608799953,49.00580608809953,49.19628534871545,49.19628534881545,49.38626437209654,49.38626437219654,49.57607664969936,49.57607664979936,49.765611017671716,49.76561101777172,49.95320001823087,49.953200018330875,50.13923272485946,50.13923272495946,50.3249319399315,50.324931940031504,50.51035324537308,50.510353245473084,50.69566338696248,50.69566338706248,50.87963956232568,50.87963956242568,51.06111455101476,51.06111455111476,51.423508709132,51.423508709232,51.60381647737315,51.60381647747315,51.782345623979374,51.782345624079376,51.95770660079838,51.95770660089838,52.132567340282556,52.13256734038256,52.30670551472754,52.30670551482754,52.48056577954207,52.48056577964207,52.653592315465225,52.65359231556523,52.82622977790574,52.82622977800574,52.99842258493752,52.998422585037524,53.170393064264935,53.17039306436494,53.34169656047925,53.34169656057925,53.51294447476747,53.512944474867474,53.68374773364696,53.68374773374696,53.85416191904381,53.85416191914381,54.02452052251457,54.02452052261457,54.19460121635487,54.19460121645487,54.36440400056471,54.36440400066471,54.53315072817881,54.53315072827881,54.701563964236364,54.701563964336366,55.037501125534,55.037501125634,55.20380224840007,55.203802248500075,55.368491495409486,55.36849149550949,55.53273608701017,55.53273608711017,55.69475740156719,55.69475740166719,55.856278478789385,55.85627847888939,56.0176328102333,56.0176328103333,56.177875503155384,56.177875503255386,56.33706213948173,56.33706213958173,56.4948036457297,56.4948036458297,56.651989332716745,56.65198933281675,56.80884152814724,56.80884152824724,56.96541581394728,56.96541581404728,57.12193451782123,57.12193451792123,57.27839763976909,57.27839763986909,57.434027032825576,57.43402703292558,57.58954526202987,57.589545262129874,57.744785581603715,57.74478558170372,57.89935891806446,57.89935891816446,58.05343201719038,58.05343201729038,58.207227206685836,58.20722720678584,58.35991075765947,58.35991075775947,58.51209407129827,58.51209407139827,58.6641106391588,58.6641106392588,58.8143485853844,58.8143485854844,58.96408629427517,58.96408629437517,59.113045856200664,59.113045856300666,59.26083819767823,59.260838197778234,59.40857495722971,59.40857495732971,59.55547798788981,59.55547798798981,59.701602871584626,59.70160287168463,59.846560534831525,59.84656053493153,59.99140703422624,59.991407034326244,60.1359756239905,60.1359756240905,60.27971048486337,60.279710484963374,60.423389763810164,60.423389763910166,60.566902296978675,60.56690229707868,60.71030366629501,60.71030366639501,60.85353828983307,60.85353828993307,60.996050348331934,60.996050348431936,61.13633912978713,61.13633912988713,61.274904871533494,61.274904871633495,61.413359449427674,61.413359449527675,61.550480061095655,61.55048006119566,61.68604437883307,61.68604437893307,61.821330786940024,61.821330787040026,62.09123662004084,62.09123662014084,62.22535580769988,62.22535580779988,62.35903033995017,62.359030340050175,62.49226021679174,62.492260216891744,62.625156602076764,62.625156602176766,62.75671902113558,62.75671902123558,62.88772562093349,62.88772562103349,63.01823198339657,63.01823198349657,63.148571600081375,63.14857160018138,63.278133069800894,63.278133069900896,63.40752779374214,63.40752779384214,63.53592204301374,63.53592204311374,63.663760473024425,63.66376047312443,63.791265411478555,63.79126541157856,63.91860360415441,63.918603604254415,64.0450524860128,64.04505248611281,64.17133462209293,64.17133462219293,64.29706093891213,64.29706093901213,64.42239818224868,64.42239818234869,64.5474019340287,64.5474019341287,64.67073822802597,64.67073822812597,64.79185124497957,64.79185124507957,64.91163029570696,64.91163029580696,65.0305200356169,65.0305200357169,65.14840930085718,65.14840930095718,65.26585391068873,65.26585391078873,65.38252037355501,65.38252037365501,65.49846427138209,65.49846427148209,65.61396351380044,65.61396351390044,65.7292960104405,65.72929601054051,65.8445173432284,65.8445173433284,66.07362604257798,66.07362604267799,66.18667968024829,66.18667968034829,66.29956657214034,66.29956657224034,66.41134182551055,66.41134182561055,66.52278358732421,66.52278358742421,66.63405860335959,66.6340586034596,66.74477780013406,66.74477780023406,66.85538583305635,66.85538583315635,66.96588270212645,66.96588270222645,67.07554584230519,67.07554584240519,67.18476432707519,67.18476432717519,67.29287117332335,67.29287117342335,67.39958847141922,67.39958847151922,67.50613902373682,67.50613902383682,67.61113328212386,67.61113328222386,67.71451566465423,67.71451566475423,67.81717548214542,67.81717548224542,67.91950180808006,67.91950180818006,68.0217725520886,68.02177255218861,68.1237098045406,68.1237098046406,68.22503565580558,68.22503565590559,68.32625034321839,68.32625034331839,68.4267980475181,68.4267980476181,68.52717900603953,68.52717900613953,68.62739321878269,68.62739321888269,68.72755184959975,68.72755184969975,68.82754373463854,68.82754373473854,68.9270909642686,68.9270909643686,69.02630470234212,69.02630470244212,69.12524053078516,69.12524053088516,69.2236205399673,69.2236205400673,69.32194496722335,69.32194496732335,69.41976915714456,69.41976915724456,69.51720427358313,69.51720427368313,69.61347216957378,69.61347216967378,69.7093509920818,69.7093509921818,69.8046739953289,69.8046739954289,69.89871861427588,69.89871861437588,69.99176275855322,69.99176275865322,70.08464015705229,70.0846401571523,70.17673940858607,70.17673940868607,70.26839400471113,70.26839400481113,70.35965952735353,70.35965952745353,70.45031364880893,70.45031364890893,70.54046753292951,70.54046753302951,70.72038622768802,70.72038622778803,70.80998429254768,70.80998429264768,70.89802606347678,70.89802606357678,70.98556759707105,70.98556759717106,71.0719419102174,71.0719419103174,71.15814947758548,71.15814947768548,71.24407913532309,71.24407913542309,71.32989762920853,71.32989762930853,71.41538263153741,71.41538263163741,71.50064530616193,71.50064530626193,71.58574123500817,71.58574123510817,71.67067041807613,71.67067041817613,71.75509936380928,71.75509936390928,71.8389724902815,71.83897249038151,71.92217863364063,71.92217863374063,72.00532919507366,72.00532919517366,72.08842417458061,72.08842417468061,72.17018518786135,72.17018518796135,72.25183503728991,72.25183503738991,72.32498085202646,72.32498085212646,72.39462500541924,72.39462500551925,72.46293519258582,72.46293519268582,72.52896652078263,72.52896652088263,72.59121827800523,72.59121827810523,72.65308096174519,72.65308096184519,72.71483248163295,72.71483248173296,72.76641250904596,72.76641250914597,72.81760346297632,72.81760346307632,72.85840059672756,72.85840059682756,72.89464001253928,72.89464001263929,72.93049035486837,72.93049035496837,72.96495114904516,72.96495114914516,72.99863379625667,72.99863379635667,73.02781430745476,73.02781430755476,73.0520480272307,73.0520480273307,73.07555918196745,73.07555918206745,73.09890359092591,73.09890359102592,73.11563375067949,73.1156337507795,73.13230832850697,73.13230832860697,73.14876057863009,73.14876057873009],[0.0,1e-10,0.7603607489331049,0.7603607490331049,1.416727714148824,1.416727714248824,2.0550305533847726,2.0550305534847726,2.6156854418707542,2.6156854419707543,3.1478268022717444,3.1478268023717444,3.6762441736245974,3.6762441737245974,4.202493849859878,4.202493849959878,4.681054233508565,4.681054233608565,5.146497282599634,5.146497282699634,5.608494252273023,5.608494252373023,6.058374362058443,6.058374362158443,6.5081988899177725,6.5081988900177725,6.9464067952239565,6.9464067953239566,7.383614225860492,7.383614225960492,7.8195432721969205,7.8195432722969205,8.237964011814494,8.237964011914494,8.652049361196923,8.652049361296923,9.047848256895216,9.047848256995216,9.437199649166882,9.437199649266882,9.823883108986152,9.823883109086152,10.198672036621819,10.198672036721819,10.571015359509456,10.571015359609456,10.92974111050465,10.92974111060465,11.281185629181845,11.281185629281845,11.630684780445833,11.630684780545833,11.97034593079161,11.97034593089161,12.306283092089247,12.306283092189247,12.632104342838213,12.632104342938213,12.957814429734997,12.957814429834997,13.267683667695673,13.267683667795673,13.576941504469342,13.576941504569342,13.880696730559944,13.880696730659944,14.184174047020086,14.184174047120086,14.48631739725403,14.48631739735403,14.785570487331212,14.785570487431212,15.079765622134056,15.079765622234056,15.37323819189771,15.37323819199771,15.658818128156359,15.658818128256359,15.942563860853983,15.942563860953983,16.22542028273414,16.22542028283414,16.504219224009613,16.50421922410961,16.78112837979797,16.781128379897968,17.056258913951396,17.056258914051394,17.33100037462218,17.33100037472218,17.602240173949195,17.602240174049193,17.867755034888773,17.86775503498877,18.13310315005008,18.133103150150077,18.397784282098286,18.397784282198284,18.662409832220398,18.662409832320396,18.926090489598955,18.926090489698954,19.189270909642687,19.189270909742685,19.45039479842103,19.450394798521028,19.711185195642823,19.71118519574282,19.969585570042675,19.969585570142673,20.227874780590348,20.227874780690346,20.485830499581468,20.485830499681466,20.743285981237765,20.743285981337763,20.999351914741773,20.99935191484177,21.254139463945673,21.25413946404567,21.507648628849466,21.507648628949465,21.76043522871407,21.760435228814067,22.00938667567835,22.009386675778348,22.258060213012172,22.25806021311217,22.506344676863357,22.506344676963355,22.753072846783976,22.753072846883974,22.99763332158702,22.99763332168702,23.242082632537883,23.24208263263788,23.48647636156265,23.48647636166265,23.727424011169745,23.727424011269743,23.96548140062007,23.96548140072007,24.441151524111994,24.441151524211993,24.67526259680982,24.675262596909818,24.90609433586824,24.906094335968238,25.13509187136564,25.135091871465637,25.36358916952821,25.36358916962821,25.5919753038386,25.591975303938597,25.819472127331522,25.81947212743152,26.046635459267897,26.046635459367895,26.26824059859511,26.268240598695108,26.485288019982814,26.485288020082812,26.70172404018351,26.70172404028351,26.914269325557793,26.91426932565779,27.126092045892886,27.126092045992884,27.546069079441025,27.546069079541024,27.75283384450178,27.752833844601778,27.959265118005987,27.959265118105986,28.164751498766638,28.164751498866636,28.36851483981845,28.368514839918447,28.572000271239798,28.572000271339796,28.774651973769778,28.774651973869776,28.977136930521482,28.97713693062148,29.178676994529628,29.178676994629626,29.378216109198476,29.378216109298474,29.577699641941233,29.57769964204123,29.776516191570888,29.776516191670886,29.974109938826533,29.97410993892653,30.171147866821258,30.171147866921256,30.366518337033238,30.366518337133236,30.757092531678918,30.757092531778916,30.943291984085782,30.94329198418578,31.128157470266448,31.128157470366446,31.309298967398977,31.309298967498975,31.48999580912277,31.48999580922277,31.670303577363928,31.670303577463926,31.85022227212244,31.85022227222244,32.02802885368947,32.02802885378947,32.20511287021731,32.205112870317315,32.379862445849305,32.37986244594931,32.72886135977847,32.72886135987847,32.90144324029289,32.901443240392894,33.0734693015464,33.073469301646405,33.245273035095536,33.24527303519554,33.41579838434457,33.41579838444457,33.58560116855441,33.585601168654414,33.75523720698598,33.75523720708598,33.92465091771318,33.92465091781318,34.09356439110556,34.09356439120556,34.26197762716311,34.261977627263114,34.42916806084665,34.42916806094665,34.596191748751906,34.59619174885191,34.762103798135335,34.76210379823534,34.92784910174049,34.92784910184049,35.09309416801082,35.093094168110824,35.257283177685416,35.25728317778542,35.4208052042469,35.420805204346905,35.58410490310403,35.58410490320403,35.74351386713474,35.74351386723474,35.90181119264362,35.90181119274362,36.05921920733503,36.059219207435035,36.2162937304699,36.2162937305699,36.373257089752585,36.373257089852586,36.529164392439526,36.52916439253953,36.84020085084813,36.84020085094813,36.99405162226968,36.99405162236968,37.14762448406077,37.14762448416077,37.30069710851704,37.300697108617044,37.45043481740782,37.45043481750782,37.59822715888538,37.59822715898538,37.74551926302813,37.74551926312813,37.892311129836045,37.89231112993605,38.03743553886122,38.03743553896122,38.182115292477654,38.182115292577656,38.32657271838973,38.32657271848973,38.46502729628391,38.46502729638391,38.602592563360616,38.60259256346062,38.73993550273296,38.739935502832964,38.8753886566182,38.8753886567182,39.01000808161206,39.01000808171206,39.14223748378397,39.142237483883974,39.27402223054716,39.27402223064716,39.403361372562316,39.40336137266232,39.532255859168735,39.53225585926874,39.66081685421861,39.66081685431861,39.7892666854163,39.7892666855163,39.91627138653561,39.916271386635614,40.04133072024172,40.04133072034172,40.16600098046518,40.16600098056518,40.29056007683646,40.29056007693646,40.415063591281644,40.415063591381646,40.53928919609637,40.53928919619637,40.663014563576276,40.66301456367628,40.786239693721356,40.78623969382136,40.90796411186196,40.90796411196196,41.028187817998095,41.0281878180981,41.147688959095035,41.14768895919504,41.2670233544137,41.267023354513704,41.38452354617135,41.38452354627135,41.50113442711153,41.50113442721153,41.61741181649516,41.61741181659516,41.84979984948414,41.849799849584144,41.96290906908055,41.962909069180554,42.07490665015513,42.07490665025513,42.18657073967316,42.18657073977316,42.29784575570854,42.297845755808545,42.408676116335194,42.408676116435196,42.517172036066,42.517172036166,42.62422282571843,42.62422282581843,42.83743509420581,42.83743509430581,42.94326308148422,42.94326308158422,43.04892432298435,43.04892432308435,43.15375183559311,43.153751835693114,43.25824585664532,43.25824585674532,43.362517549993164,43.362517550093166,43.4655108590409,43.4655108591409,43.56711461993635,43.56711462003635,43.66860721697961,43.66860721707961,43.76704280808784,43.76704280818784,43.8652560714917,43.8652560715917,43.96324700719119,43.963247007291194,44.06084886940804,44.06084886950804,44.15800607621616,44.15800607631616,44.25449629991118,44.25449630001118,44.35087535975401,44.350875359854015,44.446920928040306,44.44692092814031,44.5422439312874,44.542243931387404,44.63706669719967,44.63706669729967,44.73166713540758,44.73166713550758,44.8261564097633,44.8261564098633,44.91953404559719,44.91953404569719,45.10528884259532,45.10528884269532,45.197499257981285,45.19749925808129,45.289598509515066,45.28959850961507,45.38130868756621,45.38130868766621,45.47290770176517,45.472907701865175,45.56411764248149,45.56411764258149,45.746259614283666,45.74625961438367,45.83691373573907,45.83691373583907,45.926678546377005,45.92667854647701,46.01627661123666,46.016276611336664,46.105763512244145,46.10576351234415,46.19491692169507,46.19491692179507,46.283959167293816,46.28395916739382,46.37227884785337,46.372278847953375,46.46032061878247,46.46032061888247,46.547806570450646,46.54780657055065,46.633180408927345,46.63318040902735,46.71849866547795,46.718498665577954,46.88869052317044,46.88869052327044,46.97350854238622,46.97350854248622,47.0576595784889,47.057659578588904,47.14164386881331,47.14164386891331,47.22401628328107,47.22401628338107,47.30616637004445,47.30616637014445,47.38826087488175,47.38826087498175,47.47018863394077,47.470188634040774,47.5520608110737,47.5520608111737,47.63298809546307,47.63298809556307,47.70379946930377,47.70379946940377,47.76627355423073,47.76627355433073,47.81790916356983,47.81790916366983,47.86921128135238,47.86921128145238,47.914399387264844,47.914399387364845,47.951528113894035,47.95152811399404,47.97587299752216,47.97587299762216,47.999384152258905,47.99938415235891,48.022672979291286,48.02267297939129,48.04334945579736,48.04334945589736,48.063136621485974,48.063136621585976,48.0735304416651,48.0735304417651,48.08320169680504,48.08320169690504,48.09037176527086,48.09037176537086,48.09542972054519,48.09542972064519],[0.0,1e-10,4.995870262891394,4.995870262991394,9.594996737340939,9.594996737440939,13.20787751522111,13.20787751532111,16.717598238275272,16.71759823837527,19.553777180951407,19.553777181051405,22.247388483202585,22.247388483302583,24.824666814144045,24.824666814244043,27.33769243852361,27.33769243862361,29.81197746041733,29.81197746051733,32.059599387709504,32.059599387809506,34.15403752669322,34.154037526793225,36.189836733650296,36.1898367337503,38.21468630116733,38.214686301267335,40.121479857665804,40.121479857765806,41.89609959391845,41.89609959401845,43.65932503532231,43.65932503542231,45.37953006593128,45.37953006603128,46.95166484543222,46.95166484553222,48.32137025010755,48.32137025020755,49.63482674557818,49.63482674567818,50.86591082658106,50.86591082668106,52.07987567434772,52.07987567444772,53.28055644177849,53.28055644187849,54.440106583901475,54.44010658400148,55.59515459001104,55.59515459011104,56.746812098629015,56.746812098729016,57.81787581441417,57.817875814514174,58.853033605944155,58.85303360604416,59.80331779633226,59.80331779643226,60.699687518411515,60.69968751851152,61.51351808024474,61.51351808034474,62.32190161332099,62.32190161342099,63.12761721394484,63.12761721404484,63.878362289664096,63.8783622897641,64.62316009929155,64.62316009939155,65.32132467292816,65.32132467302816,65.97041040582587,65.97041040592588,66.59092702871251,66.59092702881252,67.2024949614984,67.2024949615984,67.79888902846128,67.79888902856128,68.38866884621926,68.38866884631926,68.94293181320471,68.94293181330471,69.42466036664062,69.42466036674062,69.89805163116279,69.89805163126279,70.37083149449795,70.37083149459795,70.8270479438578,70.82704794395781,71.25780787106771,71.25780787116771,71.64910463075259,71.64910463085259,71.99187836895949,71.99187836905949,72.31397563066032,72.31397563076032,72.62756885766913,72.62756885776913,72.92937871634653,72.92937871644654,73.22818715101498,73.22818715111498,73.49081175179779,73.4908117518978,73.6767332945742,73.67673329467421,73.86237692772015,73.86237692782015,74.01283720165011,74.01283720175012,74.16274165631917,74.16274165641917,74.30219670888299,74.30219670898299,74.43331447253308,74.43331447263309,74.5642099084788,74.5642099085788,74.69499418057234,74.69499418067234,74.80943736639495,74.80943736649495,74.91765537649529,74.91765537659529,75.02298312643887,75.02298312653888,75.11830612968598,75.11830612978598,75.21168376551987,75.21168376561987,75.30417209053628,75.30417209063629,75.39560435895697,75.39560435905697,75.48231216365987,75.48231216375987,75.5641287588667,75.5641287589667,75.61548645857535,75.61548645867535,75.66173062108356,75.66173062118357,75.6859643408595,75.6859643409595,75.7084750209266,75.7084750210266,75.73070779136323,75.73070779146323,75.74176859465547,75.74176859475547],[0.0,1e-10,5.515505689921774,5.515505690021774,8.803398945944354,8.803398946044354,11.844174958563674,11.844174958663674,14.680520647018085,14.680520647118085,17.44099700635746,17.440997006457458,20.139277190400335,20.139277190500334,22.745458122909426,22.745458123009424,25.329461866907966,25.329461867007964,27.778345948577826,27.778345948677824,30.072212038378208,30.072212038478206,32.29343255077687,32.29343255087687,34.414994669693286,34.41499466979329,36.20840109696489,36.20840109706489,37.92860612757386,37.92860612767386,39.538258707186635,39.53825870728664,41.139240506329116,41.13924050642912,42.73099570574039,42.73099570584039,44.280063985913316,44.28006398601332,45.73086342075629,45.730863420856295,47.138531280952186,47.13853128105219,48.508236685627516,48.50823668572752,49.73932076663039,49.739320766730394,50.87096878185539,50.87096878195539,52.001393994706376,52.00139399480638,53.08440782460123,53.08440782470123,54.124845899109914,54.124845899209916,55.119873540001755,55.11987354010176,56.08294157339093,56.082941573490935,57.03378158303995,57.033781583139955,57.91203159721334,57.912031597313344,58.72219375192452,58.72219375202452,59.47299440956987,59.47299440966987,60.21679174452768,60.216791744627685,60.943747755879734,60.943747755979736,61.64691470286458,61.64691470296458,62.34157761515741,62.341577615257414,63.010839587226386,63.01083958732639,63.64664123978821,63.64664123988821,64.26510133140945,64.26510133150946,64.86260703689418,64.86260703699418,65.45333174739571,65.45333174749571,66.04161085314922,66.04161085324922,66.61532749426672,66.61532749436672,67.1839305981838,67.18393059828381,67.74302919273921,67.74302919283922,68.21642045726139,68.2164204573614,68.66552242008153,68.66552242018153,69.11456880097558,69.11456880107558,69.54532872818548,69.54532872828548,69.951577025989,69.951577026089,70.33965003396055,70.33965003406055,70.72466603599707,70.72466603609708,71.0963979576977,71.0963979577977,71.46462821805457,71.46462821815457,71.81434969702292,71.81434969712292,72.15412201122088,72.15412201132088,72.49217128571,72.49217128581,72.82338398328984,72.82338398338985,73.13903374156405,73.13903374166405,73.44084360024145,73.44084360034145,73.74259787699275,73.74259787709275,74.0414063116612,74.04140631176121,74.33337816942039,74.33337816952039,74.58861037403301,74.58861037413301,74.82827963934,74.82827963944,75.05299736652834,75.05299736662835,75.27643670941657,75.27643670951657,75.48920432249523,75.48920432259523,75.70191635364779,75.70191635374779,75.91179370656967,75.91179370666967,76.1094986176775,76.1094986177775,76.30303488432845,76.30303488442846,76.49473694741839,76.49473694751839,76.68577202739522,76.68577202749522,76.87658477966768,76.87658477976768,77.05844884183941,77.05844884193941,77.21563452882646,77.21563452892646,77.36787342439135,77.36787342449135,77.51850044409959,77.51850044419959,77.66857164454692,77.66857164464692,77.81258441505025,77.81258441515025,77.94581429189182,77.94581429199182,78.07748787480283,78.07748787490283,78.20760516378326,78.20760516388326,78.33733337928106,78.33733337938106,78.46617228396138,78.46617228406139,78.58772995632373,78.58772995642373,78.70267337948115,78.70267337958116,78.81583818100366,78.81583818110366,78.92755785244778,78.92755785254778,79.03888845040925,79.03888845050925,79.13343330669106,79.13343330679106,79.22564372207702,79.22564372217703,79.31746506398035,79.31746506408035,79.40889733240104,79.40889733250104,79.49560513710394,79.49560513720394,79.58092339365454,79.58092339375455,79.65173476749524,79.65173476759524,79.71926680769654,79.71926680779654,79.78268578536706,79.78268578546707,79.84515987029401,79.84515987039401,79.89640640615048,79.89640640625048,79.9326458219622,79.9326458220622,79.96004771152536,79.96004771162536,79.9869493637537,79.9869493638537,80.01179448471663,80.01179448481663,80.03625053219695,80.03625053229695,80.05876121226405,80.05876121236405,80.07771464906128,80.07771464916128,80.09116547517544,80.09116547527545,80.09761297860207,80.09761297870207,80.10322675313732,80.10322675323732,80.10767330722464,80.10767330732465],[0.0,1e-10,3.6360028591342783,3.6360028592342784,6.203165279527065,6.203165279627065,8.634652218330253,8.634652218430253,11.020450813886145,11.020450813986145,13.358171043372801,13.358171043472801,15.43393365518974,15.43393365528974,17.263801825977435,17.263801826077433,19.03291895154701,19.03291895164701,20.491666601821088,20.491666601921086,21.947968647347132,21.94796864744713,23.327122979458032,23.32712297955803,24.696883966059453,24.69688396615945,26.057585098707943,26.05758509880794,27.28805777852381,27.28805777862381,28.514195068104534,28.514195068204533,29.701369427495045,29.701369427595044,30.82245687676264,30.82245687686264,31.940320574316925,31.940320574416923,33.04906883599219,33.04906883609219,34.144533017331554,34.144533017431556,35.19125184948859,35.19125184958859,36.20334314169056,36.20334314179056,37.20198360777836,37.20198360787836,38.16027159552365,38.160271595623655,39.11238998947278,39.11238998957278,40.06184045096951,40.061840451069514,40.985445316833655,40.98544531693366,41.857914810693515,41.85791481079352,42.68302850352334,42.68302850362334,43.49502486179554,43.495024861895544,44.304686779171895,44.3046867792719,45.055487436817245,45.05548743691725,45.77566245318612,45.775662453286124,46.48661086982379,46.486610869923794,47.19327947815241,47.193279478252414,47.84453290616771,47.84453290626771,48.49328514750887,48.49328514760887,49.129976110888165,49.12997611098817,49.691575892117704,49.691575892217706,50.22705216808419,50.227052168184194,50.75897120078081,50.758971200880815,51.27288168942376,51.272881689523764,51.75144207307245,51.75144207317245,52.22183191358567,52.22183191368567,52.67654765094106,52.67654765104106,53.125316122204644,53.125316122304646,53.559466546906144,53.559466547006146,53.98689155855055,53.986891558650555,54.40764673906398,54.40764673916398,54.826456552164196,54.8264565522642,55.22397848757132,55.223978487671324,56.01579860667228,56.01579860677228,56.38791960185555,56.38791960195555,56.75803964769952,56.75803964779952,57.12504710568236,57.125047105782365,57.48999803239982,57.48999803249982,57.85239219051706,57.85239219061706,58.205003929642174,58.205003929742176,58.54811115940563,58.54811115950563,58.88588252426429,58.88588252436429,59.22287574215767,59.22287574225767,59.54953072179801,59.54953072189801,59.874073588246866,59.87407358834687,60.19611526802161,60.19611526812161,60.51810136587025,60.51810136597025,60.82469127019152,60.824691270291524,61.12650112886892,61.12650112896892,61.422863958789335,61.42286395888934,61.717170257444366,61.71717025754437,62.010753991060206,62.01075399116021,62.3026146849672,62.302614685067205,62.589083932043316,62.58908393214332,62.87221826355393,62.872218263653934,63.14818252659873,63.14818252669873,63.41547600917324,63.41547600927324,63.68082412433454,63.680824124434544,63.93955799029095,63.93955799039095,64.18267333501561,64.18267333511561,64.41400531140886,64.41400531150886,64.63916769400593,64.63916769410594,64.85904979362431,64.85904979372431,65.07804258242521,65.07804258252521,65.28041637532473,65.28041637542474,65.47978874421531,65.47978874431531,65.67532596020557,65.67532596030557,65.87069643041754,65.87069643051754,66.05856334060715,66.05856334070715,66.24637466887067,66.24637466897067,66.42601545399873,66.42601545409873,66.60337738015703,66.60337738025703,66.77512553178008,66.77512553188008,66.94087083538523,66.94087083548523,67.10567124624683,67.10567124634683,67.26958234629096,67.26958234639096,67.41370628064648,67.41370628074648,67.55632950299753,67.55632950309753,67.69528431822654,67.69528431832654,67.83107096366832,67.83107096376833,67.966802027184,67.966802027284,68.0985311920211,68.0985311921211,68.2295933737451,68.2295933738451,68.35887693383417,68.35887693393417,68.48426975909682,68.48426975919682,68.6074393073158,68.6074393074158,68.72883023389986,68.72883023399986,68.84916510388818,68.84916510398818,68.96733227875892,68.96733227885892,69.08360966814256,69.08360966824256,69.1944956106953,69.1944956107953,69.30360293161311,69.30360293171312,69.40742996955223,69.40742996965223,69.50858907503894,69.50858907513894,69.60596860955143,69.60596860965143,69.70040230198106,69.70040230208106,69.79377993781495,69.79377993791495,69.8867129182401,69.8867129183401,69.97892333362607,69.97892333372607,70.06768766959435,70.06768766969435,70.15433989237115,70.15433989247116,70.236156487578,70.236156487678,70.28423485364723,70.28423485374724,70.32525431510284,70.32525431520284,70.33726001113862,70.33726001123863,70.34820965057867,70.34820965067867,70.35832556112733,70.35832556122733,70.36477306455396,70.36477306465396,70.37083149449795,70.37083149459795,70.37666759673756,70.37666759683756,70.38178113393799,70.381781134038,70.38645001572968,70.38645001582968,70.39078540596483,70.39078540606484,70.39450939501296,70.39450939511296],[0.0,1e-10,1.418839827340305,1.418839827440305,2.7269048759800483,2.7269048760800483,3.9847238634329845,3.9847238635329845,5.1197067942234815,5.1197067943234815,6.249742933591826,6.249742933691826,7.164232363576941,7.164232363676941,8.054821565342667,8.054821565442667,8.941964687690716,8.941964687790716,9.821104012681571,9.821104012781571,10.6825682851753,10.6825682852753,11.542309517960188,11.542309518060188,12.370758126355504,12.370758126455504,13.17903049557957,13.17903049567957,13.966848716001925,13.966848716101925,14.726931555304573,14.726931555404573,15.461168798974624,15.461168799074624,16.179843103339028,16.179843103439026,16.890958265754975,16.890958265854973,17.59129053450915,17.591290534609147,18.289844181628396,18.289844181728395,18.954270526127395,18.954270526227393,19.591517308767603,19.5915173088676,20.21281207861952,20.21281207871952,20.823935355996678,20.823935356096676,21.425998779420905,21.425998779520903,22.021892609048958,22.021892609148956,22.61650805437691,22.61650805447691,23.209289296143837,23.209289296243835,23.793010683957835,23.793010684057833,24.37084038760612,24.370840387706117,24.933662971209674,24.933662971309673,25.492539238060726,25.492539238160724,26.05113759528132,26.051137595381316,26.594562086678902,26.5945620867789,27.129538125310564,27.129538125410562,27.634611087704943,27.63461108780494,28.12801184562009,28.12801184572009,28.620189801161217,28.620189801261215,29.105420015940897,29.105420016040895,29.590594648794482,29.59059464889448,30.07499113468279,30.07499113478279,30.554162919518483,30.55416291961848,31.02749860211456,31.027498602214557,31.495998657140667,31.495998657240666,31.961552870083917,31.961552870183915,32.41799164714815,32.41799164724815,32.87115109057297,32.871151090672974,33.311193199440176,33.31119319954018,33.74912319511591,33.74912319521591,34.184440840265324,34.184440840365326,34.61520076747524,34.61520076757524,35.026117947070446,35.02611794717045,35.43442277613934,35.434422776239344,35.841171311277684,35.841171311377686,36.24297305499387,36.24297305509387,36.631268390669796,36.6312683907698,37.01923023478917,37.01923023488917,37.39968851888618,37.39968851898618,37.76525084679064,37.765250846890645,38.12942362654282,38.12942362664282,38.48892752450329,38.48892752460329,38.84287322985461,38.84287322995461,39.194651240088355,39.19465124018836,39.543872481721884,39.543872481821886,39.88948089815946,39.889480898259464,40.224362002861355,40.22436200296136,40.557130994371775,40.55713099447178,40.88845485580381,40.88845485590381,41.215721236631154,41.215721236731156,41.54232063434541,41.54232063444541,41.86808630316828,41.868086303268285,42.19007240101693,42.19007240111693,42.51078011456546,42.510780114665465,42.830487353444354,42.830487353544356,43.14474756356627,43.14474756366627,43.45344958107902,43.45344958117902,43.76015064925248,43.76015064935248,44.0651286777171,44.0651286778171,44.36932855921643,44.36932855931643,44.67180540100692,44.67180540110692,44.970669417601464,44.970669417701465,45.26397524158684,45.26397524168684,45.55361265845018,45.55361265855018,45.84297216568305,45.84297216578305,46.125884169489304,46.125884169589305,46.40601707699097,46.40601707709097,46.685427419453454,46.685427419553456,46.964559852285475,46.96455985238548,47.24313646585658,47.24313646595658,47.51787792652736,47.517877926627364,47.79106309326758,47.79106309336758,48.058078666211635,48.05807866631164,48.3177574249116,48.3177574250116,48.57721385590719,48.57721385600719,48.835725394159226,48.83572539425923,49.093569949298164,49.093569949398166,49.34574514797576,49.345745148075764,49.59525241420096,49.59525241430096,49.83486609758185,49.834866097681854,50.074424199036656,50.07442419913666,50.31181460537388,50.311814605473884,50.5486491924502,50.5486491925502,50.78403864944813,50.78403864954813,51.25431732610917,51.25431732620917,51.488984218067905,51.48898421816791,51.72237272572654,51.72237272582654,51.95537215990253,51.95537216000253,52.18820484830025,52.188204848400254,52.406475072061966,52.40647507216197,52.623022256114844,52.623022256214846,52.838402219719804,52.838402219819805,53.05239263517247,53.05239263527247,53.26504908439893,53.26504908449893,53.47709413243839,53.47709413253839,53.68296958668168,53.68296958678168,53.88300893868536,53.88300893878536,54.081992234093285,54.08199223419329,54.27814085127055,54.27814085137055,54.47312224799988,54.473122248099884,54.66699200620739,54.66699200630739,54.859805707819156,54.85980570791916,55.05234149980046,55.052341499900464,55.243821235186026,55.24382123528603,55.43446724168022,55.43446724178022,55.61877690859997,55.61877690869997,55.80169702736743,55.80169702746743,55.98200479560858,55.98200479570858,56.15758810013195,56.157588100231955,56.332337675763945,56.33233767586395,56.506197940578474,56.506197940678476,56.67922447650163,56.67922447660163,56.85141728353341,56.85141728363341,57.02249845204336,57.02249845214336,57.19213449047493,57.19213449057493,57.36099238194121,57.36099238204121,57.52406975309397,57.52406975319397,57.680366129263554,57.680366129363556,57.8362178500244,57.8362178501244,57.98895698292412,57.988956983024124,58.14152937004557,58.14152937014557,58.29310128249736,58.29310128259736,58.4430613190925,58.4430613191925,58.58874154737859,58.58874154747859,58.73219849862101,58.73219849872101,58.87526637638079,58.875266376480795,59.01727819754483,59.017278197644835,59.15851187174359,59.158511871843594,59.29957880016408,59.29957880026408,59.439311762358365,59.43931176245837,59.577655176400356,59.57765517650036,59.71527602540316,59.715276025503165,59.85273012862769,59.85273012872769,59.98962841259131,59.98962841269131,60.12591529536791,60.12591529546791,60.26131286732706,60.26131286742706,60.39632136580355,60.39632136590355,60.5309963727235,60.5309963728235,60.66522672423472,60.66522672433472,60.79628890595872,60.79628890605872,60.92685085034789,60.92685085044789,61.05602324658477,61.056023246684774,61.1848621512651,61.1848621513651,61.310421722306025,61.310421722406026,61.43192381274227,61.43192381284227,61.55314799354805,61.553147993648054,61.67198215153189,61.671982151631894,61.789426761363444,61.789426761463446,61.906371133860176,61.90637113396018,62.02314876057863,62.02314876067863,62.139648477666626,62.13964847776663,62.25603703090244,62.25603703100244,62.487424589221774,62.487424589321776,62.59669865591786,62.596698656017864,62.704249682905115,62.704249683005116,62.811578382187996,62.811578382288,62.91835126220996,62.91835126230996,63.02384575793182,63.02384575803182,63.12906234402322,63.12906234412322,63.234001020484165,63.23400102058417,63.33793922227546,63.33793922237546,63.44071020361883,63.44071020371883,63.543425603036106,63.54342560313611,63.64580751089684,63.64580751099684,63.747744763348834,63.747744763448836,63.84934852424428,63.84934852434428,63.949896228543984,63.949896228643986,64.0491099666175,64.0491099667175,64.14804579506054,64.14804579516054,64.24420252719902,64.24420252729902,64.3403036774114,64.3403036775114,64.43584900836285,64.43584900846285,64.53117201160995,64.53117201170996,64.62566128596568,64.62566128606568,64.81458425275103,64.81458425285103,64.90879561747629,64.90879561757629,65.00295140027546,65.00295140037547,65.09671810959199,65.09671810969199,65.19004016349979,65.19004016359979,65.28302872585104,65.28302872595104,65.375239141237,65.375239141337,65.46505953380104,65.46505953390104,65.55449085288242,65.55449085298243,65.64358868040726,65.64358868050726,65.73263092600601,65.73263092610601,65.82156200775256,65.82156200785256,65.91032634372085,65.91032634382086,65.99875718813259,65.99875718823259,66.08624313980077,66.08624313990077,66.1733400179863,66.17334001808631,66.25960316728047,66.25960316738048,66.34581073464855,66.34581073474855,66.43185155623834,66.43185155633834,66.51711423086286,66.51711423096286,66.60198783200474,66.60198783210474,66.68680585122053,66.68680585132053,66.77151270658412,66.77151270668412,66.85360721142142,66.85360721152142,66.93481240544125,66.93481240554125,67.01312733930432,67.01312733940432,67.08894108649326,67.08894108659327,67.15975246033396,67.15975246043396,67.22306027415229,67.22306027425229,67.28547877715316,67.28547877725316,67.33666973108353,67.33666973118353,67.38152434543944,67.38152434553945,67.42115425874276,67.42115425884276,67.45111291690613,67.45111291700613,67.47590245594299,67.47590245604299,67.498357554084,67.498357554184,67.51997892333362,67.51997892343363,67.54126680102671,67.54126680112671,67.5579413788542,67.5579413789542],[0.0,1e-10,14.751665512415334,14.751665512515334,22.296578487793653,22.29657848789365,29.818980783104873,29.81898078320487,36.36769889714342,36.36769889724342,40.05850553540402,40.05850553550402,43.580621027976605,43.58062102807661,46.90675464915021,46.90675464925021,49.835866572251504,49.835866572351506,52.68143886043712,52.68143886053712,55.517617803113254,55.517617803213255,58.33350934276596,58.33350934286596,61.12416668797307,61.124166688073075,63.389630413540644,63.389630413640646,65.53198017281532,65.53198017291533,67.57100313148571,67.57100313158571,69.49597197781614,69.49597197791614,71.25313898927602,71.25313898937603,72.703938424119,72.703938424219,74.0830927562299,74.0830927563299,75.45279816090523,75.45279816100523,76.68388224190811,76.68388224200811,77.78673881941766,77.78673881951767,78.85318923533721,78.85318923543721,79.89840735548977,79.89840735558977,80.8492473651388,80.8492473652388,81.64834871655775,81.64834871665775,82.39914937420309,82.3991493743031,82.99554344116598,82.99554344126598,83.58009855787135,83.58009855797135,84.06921950747744,84.06921950757744,84.45051152046582,84.45051152056583,84.75232137914321,84.75232137924321,84.96936880053092,84.96936880063092,85.17163142957826,85.17163142967826,85.31108648214209,85.31108648224209,85.44220424579217,85.44220424589217,85.56781939875918,85.56781939885919,85.64963599396603,85.64963599406603,85.73139700724677,85.73139700734677,85.78258796117714,85.78258796127714,85.82905445138971,85.82905445148971,85.85334375309175,85.85334375319175],[0.0,1e-10,8.925734765271969,8.925734765371969,16.448025896731004,16.448025896831002,23.556787498068527,23.556787498168525,30.105505612107077,30.105505612207075,35.73389819392089,35.733898194020895,40.33296908644434,40.332969086544345,43.85480666938648,43.85480666948648,47.18082912670789,47.18082912680789,50.11983463265349,50.119834632753495,53.0488909738287,53.0488909739287,55.83649131310077,55.836491313200774,58.45556725246311,58.455567252563114,61.040237979574755,61.04023797967476,63.07942768402342,63.079427684123424,65.08059935102543,65.08059935112543,66.9992874397075,66.9992874398075,68.60399322789813,68.60399322799813,70.1309399014866,70.1309399015866,71.58173933632958,71.58173933642958,72.82560726033351,72.82560726043351,74.05669134133639,74.05669134143639,75.13448047017863,75.13448047027863,76.20565534981597,76.20565534991597,77.27210576573552,77.27210576583552,78.27641558828466,78.27641558838467,79.22669977867277,79.22669977877277,80.01023819078607,80.01023819088607,80.75881557138776,80.75881557148776,81.50361338101521,81.50361338111522,82.1000074479781,82.1000074480781,82.59007329032775,82.59007329042775,83.07919423993384,83.07919424003384,83.55441970801702,83.55441970811702,83.9357117210054,83.9357117211054,84.24035625791348,84.24035625801348,84.54216611659088,84.54216611669088,84.75921353797857,84.75921353807857,84.9614761670259,84.96147616712591,85.12388655506557,85.12388655516557,85.28146131553525,85.28146131563526,85.41035580214168,85.41035580224168,85.52507689759474,85.52507689769475,85.60700465665377,85.60700465675377,85.6888212518606,85.6888212519606,85.76702502187149,85.76702502197149,85.83589102829899,85.83589102839899,85.90431237931774,85.90431237941775,85.9634515486792,85.9634515487792,86.01892231091863,86.01892231101863,86.042211137951,86.042211138051,86.06199830363961,86.06199830373961,86.08156314162386,86.08156314172386],[0.0,1e-10,0.5892239984970647,0.5892239985970648,1.1589387409359775,1.1589387410359775,1.6976943505418682,1.6976943506418682,2.19170650964402,2.19170650974402,2.6726569161146454,2.6726569162146454,3.139433931431913,3.139433931531913,3.586868436469303,3.586868436569303,4.012792736109243,4.012792736209243,4.425822028895932,4.425822028995932,4.827846100316483,4.827846100416483,5.220699153931921,5.220699154031921,5.5998790537288246,5.599879053828825,5.977891733077804,5.977891733177804,6.355848830500693,6.355848830600693,6.729192628057978,6.729192628157978,7.097089396858287,7.097089396958287,7.463818945210672,7.463818945310672,7.821099566127485,7.821099566227485,8.176823893113733,8.176823893213733,8.531214253873783,8.531214253973783,8.883047846033618,8.883047846133618,9.228433934766828,9.228433934866828,9.560424779311962,9.560424779411962,9.886079284282655,9.886079284382655,10.210288659174964,10.210288659274964,10.85298247057215,10.85298247067215,11.170188522776918,11.170188522876918,11.485060134085838,11.485060134185838,11.799431508059936,11.799431508159936,12.111190531507727,12.111190531607727,12.422504899546785,12.422504899646786,12.730873425502988,12.730873425602988,13.038964041828734,13.038964041928734,13.338328295758098,13.338328295858098,13.633857396787143,13.633857396887143,13.922049683572094,13.922049683672094,14.206907054791552,14.206907054891552,14.491708844084917,14.491708844184917,14.764949592751227,14.764949592851227,15.0351333354825,15.0351333355825,15.303482874652753,15.303482874752753,15.564717927283278,15.564717927383278,15.825563906431162,15.825563906531162,16.08374195312665,16.08374195322665,16.341530926339498,16.341530926439496,16.598764080291428,16.598764080391426,16.85427419453452,16.854274194634517,17.109673144925427,17.109673145025425,17.364349530277142,17.36434953037714,17.61763636747657,17.61763636757657,17.864364537397186,17.864364537497185,18.10681289900875,18.10681289910875,18.345759599276544,18.345759599376542,18.581982785165852,18.58198278526585,18.8179280614247,18.817928061524697,19.05331751842263,19.05331751852263,19.28792882845528,19.287928828555277,19.521817573448736,19.521817573548734,19.754372352215995,19.754372352315993,19.986482475574523,19.98648247567452,20.216369321889385,20.216369321989383,20.4432547441953,20.4432547442953,20.8965809333984,20.8965809334984,21.120909587104105,21.120909587204103,21.345071495031533,21.34507149513153,21.568622001771953,21.56862200187195,21.7886708471686,21.788670847268598,22.007719217895602,22.0077192179956,22.225433622396405,22.225433622496404,22.441814060671007,22.441814060771005,22.657916589315153,22.65791658941515,22.873518880624474,22.873518880724472,23.08823186111633,23.08823186121633,23.301555293455895,23.301555293555893,23.514322906534545,23.514322906634543,23.726812609982737,23.726812610082735,23.938857658022194,23.938857658122192,24.149346412131088,24.149346412231086,24.35944609275734,24.35944609285734,24.56876762641831,24.56876762651831,24.777977996227097,24.777977996327095,24.984742761287855,24.984742761387853,25.187783537300476,25.187783537400474,25.387267070043233,25.38726707014323,25.583526851072676,25.583526851172675,25.777285445427996,25.777285445527994,25.968098197700463,25.96809819780046,26.157910475303282,26.15791047540328,26.347055769793002,26.347055769893,26.535978736578354,26.535978736678352,26.723845646767966,26.723845646867964,26.91115673769666,26.91115673779666,27.098245500920992,27.09824550102099,27.285278682219232,27.28527868231923,27.4714225527,27.4714225528,27.656788276215494,27.656788276315492,27.84198725395271,27.841987254052707,28.02501853657235,28.02501853667235,28.20793865533981,28.207938655439808,28.390636446402905,28.390636446502903,28.572834000131174,28.572834000231172,28.749195451619823,28.74919545171982,28.924167354956186,28.924167355056184,29.098361111327264,29.098361111427263,29.272443703846157,29.272443703946156,29.44574814939977,29.445748149499767,29.615328605905248,29.615328606005246,29.784797898558537,29.784797898658535,29.95176600453771,29.951766004637708,30.118678528590788,30.118678528690786,30.28409034063939,30.28409034073939,30.449057497279266,30.449057497379265,30.613913490066953,30.61391349016695,30.77865831900246,30.77865831910246,30.939345667333278,30.939345667433276,31.098865795216174,31.098865795316172,31.254773097903115,31.254773098003113,31.410013417476957,31.410013417576955,31.5639197708246,31.5639197709246,31.715436101350306,31.715436101450305,31.86656335839337,31.86656335849337,32.01746828773207,32.017468287832074,32.16787297973594,32.16787297983594,32.317610688626715,32.31761068872672,32.46707048788703,32.46707048798703,32.615418648625514,32.615418648725516,32.91139240506329,32.91139240516329,33.058962418836494,33.058962418936495,33.205254048309584,33.205254048409586,33.35093427659567,33.350934276695675,33.49655892295567,33.49655892305567,33.641627750054745,33.64162775015475,33.931709822326816,33.93170982242682,34.07622283016498,34.07622283026498,34.21995769103786,34.219957691137864,34.3633034784281,34.3633034785281,34.50614902848351,34.506149028583515,34.64860550505629,34.64860550515629,34.7907840719986,34.7907840720986,34.93268472931046,34.93268472941046,35.073751657730945,35.07375165783095,35.21470742229925,35.21470742239925,35.35521853145882,35.35521853155882,35.49534056713574,35.49534056723574,35.63490678355175,35.63490678365175,35.76980411817607,35.76980411827607,35.90447912509602,35.90447912519602,36.17366239315764,36.17366239325764,36.30778158081667,36.307781580916675,36.44090029380606,36.44090029390606,36.573185277904074,36.573185278004075,36.70480327888898,36.70480327898898,36.836365697947805,36.83636569804781,36.96787253508053,36.96787253518053,37.098601225247975,37.09860122534798,37.229107587711056,37.22910758781106,37.35905813091322,37.35905813101322,37.48845285485447,37.488452854954474,37.617680833017445,37.61768083311745,37.87574771586075,37.87574771596075,38.00258567120178,38.00258567130178,38.25581692647512,38.25581692657512,38.38187673485087,38.38187673495087,38.50788096130053,38.50788096140053,38.63360727811973,38.633607278219735,38.7588889395302,38.758888939630204,38.8832812901232,38.8832812902232,39.00661758412046,39.006617584220464,39.25273435285408,39.25273435295408,39.375181336033876,39.37518133613388,39.49712808187885,39.49712808197885,39.618630172315086,39.61863017241509,39.73974318926869,39.73974318936869,39.860522714665734,39.860522714765736,39.98074642080187,39.98074642090187,40.10080338115973,40.10080338125973,40.219470793365296,40.2194707934653,40.33808262364477,40.338082623744775,40.45474908651104,40.454749086611045,40.570248328929395,40.5702483290294,40.68563640749556,40.68563640759556,40.80069099450517,40.80069099460517,40.9149674345495,40.914967434649505,41.02913271074165,41.02913271084165,41.14324240500771,41.14324240510771,41.25540673186056,41.25540673196056,41.36723756715686,41.367237567256865,41.478345837413976,41.47834583751398,41.58828688722316,41.588286887323164,41.697838863549705,41.69783886364971,41.806501529058785,41.80650152915879,41.915108612641774,41.915108612741776,42.021214509550646,42.02121450965065,42.12720924260733,42.12720924270733,42.23225908292045,42.23225908302045,42.33669752204657,42.33669752214657,42.44102479732051,42.44102479742051,42.54396252444215,42.54396252454215,42.64662234193334,42.64662234203334,42.74911541364625,42.74911541374625,42.850163355280785,42.850163355380786,42.950933387284856,42.95093338738486,43.051536673510654,43.051536673610656,43.15202879588427,43.15202879598427,43.352457221370585,43.35245722147059,43.45217119677891,43.452171196878915,43.6508210006303,43.6508210007303,43.74920100981243,43.74920100991243,43.84730310936411,43.847303109464114,43.945294045063605,43.94529404516361,44.04284032535436,44.042840325454364,44.13960845867984,44.13960845877984,44.3324777422177,44.3324777423177,44.428523310503984,44.428523310603985,44.52384631375108,44.52384631385108,44.61894698929381,44.61894698939381,44.713325099797345,44.71332509989735,44.80709180911388,44.80709180921388,44.90069177265214,44.90069177275214,44.993791498855565,44.99379149895557,45.086724479280726,45.08672447938073,45.177934419997044,45.177934420097046,45.26903319686118,45.26903319696118,45.36007639179922,45.36007639189922,45.45106400481117,45.451064004911174,45.54194045397094,45.54194045407094,45.632316665795884,45.632316665895885,45.72252613184255,45.72252613194255,45.81251327018485,45.81251327028485,45.902111335044516,45.90211133514452,45.99137590834763,45.99137590844763,46.08058489972465,46.08058489982465,46.16951598147121,46.16951598157121,46.25772449817858,46.257724498278584,46.345432777551125,46.345432777651126,46.43291872921931,46.43291872931931,46.51973769777439,46.51973769787439,46.60605642899465,46.60605642909465,46.86423447569013,46.864234475790134,46.94960831416683,46.94960831426683,47.03487098879135,47.03487098889135,47.11913318874622,47.11913318884622,47.2032842248489,47.2032842249489,47.28721293324722,47.28721293334722,47.37097489586726,47.370974895967265,47.4540698753742,47.454069875474204,47.53710927295506,47.53710927305506,47.59952777595593,47.59952777605593,47.654442718934426,47.65444271903443,47.705800418643065,47.70580041874307,47.79439800883308,47.79439800893308,47.820299186391765,47.820299186491766,47.84453290616771,47.84453290626771,47.867488241643535,47.86748824174354,47.87599227633555,47.875992276435554,47.88366258213619,47.88366258223619,47.89083265060201,47.89083265070201,47.89761364558518,47.89761364568518],[0.0,1e-10,3.296619618418961,3.296619618518961,6.337395631038281,6.337395631138281,9.035675815081156,9.035675815181156,11.655251991778321,11.655251991878322,14.23914457192468,14.23914457202468,16.800637635856123,16.80063763595612,18.94671138417894,18.946711384278938,21.023140979108977,21.023140979208975,22.797816297287714,22.797816297387712,24.54225504767262,24.542255047772617,26.281469097004912,26.28146909710491,28.013957733280122,28.01395773338012,29.56063599063111,29.560635990731107,31.011435425474087,31.011435425574085,32.44200303921972,32.44200303931972,33.84122244664969,33.84122244674969,35.235439480731415,35.23543948083142,36.586914013648695,36.5869140137487,37.87880472179579,37.87880472189579,39.109888802798665,39.109888802898666,40.288225635940606,40.28822563604061,41.42009597886997,41.420095978969975,42.55052119172096,42.55052119182096,43.67522146618451,43.67522146628451,44.77201961375008,44.772019613850084,45.82918784801233,45.82918784811233,46.7168867896213,46.7168867897213,47.59685984350353,47.59685984360353,48.47227517944625,48.47227517954625,49.33907531684477,49.33907531694477,50.19264695583349,50.19264695593349,51.028765870029446,51.02876587012945,51.831146555087805,51.83114655518781,52.61412914794019,52.61412914804019,53.36048325149821,53.36048325159821,54.069819792279226,54.06981979237923,54.742249934135415,54.74224993423542,55.41034468575646,55.410344685856465,56.05248267789273,56.052482677992735,56.68728385578491,56.687283855884914,57.32186270597272,57.32186270607272,57.94832659495116,57.948326595051164,58.545832300435876,58.54583230053588,59.1366125928635,59.1366125929635,59.72539193595183,59.725391936051835,60.30922448761802,60.30922448771802,60.877827591535095,60.877827591635096,61.43648153068178,61.43648153078178,61.94811316035497,61.94811316045497,62.44351486760941,62.44351486770941,62.91690613213158,62.91690613223158,63.38379431130103,63.38379431140103,63.81455423851094,63.81455423861094,64.23419778050253,64.23419778060253,64.62227078847408,64.62227078857408,65.00762028206717,65.00762028216717,65.37585054242402,65.37585054252402,65.74269125462858,65.74269125472858,66.10158375140206,66.10158375150206,66.45953135543196,66.45953135553196,66.80525093572173,66.80525093582173,67.15030353289839,67.1503035329984,67.49007584709635,67.49007584719635,67.82812512158546,67.82812512168546,68.16511833947884,68.16511833957884,68.4963310370587,68.4963310371587,68.80636702079765,68.80636702089765,69.10812129754895,69.10812129764895,69.40692973221739,69.4069297323174,69.69578900211545,69.69578900221545,69.98437036238305,69.98437036248305,70.2573332014189,70.2573332015189,70.52851741881982,70.52851741891982,70.79953489044246,70.79953489054246,71.06471625982549,71.06471625992549,71.31766960546837,71.31766960556837,71.56211891641924,71.56211891651924,71.80039863357393,71.80039863367394,72.03556576286749,72.0355657629675,72.2532801673683,72.2532801674683,72.47032758875599,72.470327588856,72.68665244510451,72.68665244520452,72.89808609195696,72.89808609205696,73.10396154620025,73.10396154630025,73.30928118118263,73.30928118128263,73.50887587777757,73.50887587787757,73.70007770353267,73.70007770363267,73.89089045580515,73.89089045590515,74.07125380597239,74.07125380607239,74.2491715513916,74.2491715514916,74.41525034655331,74.41525034665331,74.57243603354036,74.57243603364036,74.7283433362273,74.7283433363273,74.88058223179219,74.88058223189219,75.01231139662929,75.01231139672929,75.14159495671835,75.14159495681835,75.27043386139869,75.27043386149869,75.390768731387,75.390768731487,75.5105477821144,75.5105477822144,75.62943752202433,75.62943752212433,75.74254674162074,75.74254674172074,75.84431724829447,75.84431724839447,75.93964025154156,75.93964025164156,76.0334069608581,76.0334069609581,76.12678459669199,76.12678459679199,76.21916175785623,76.21916175795623,76.31120542746392,76.31120542756392,76.3993583622452,76.3993583623452,76.48706664161774,76.48706664171775,76.57238489816835,76.57238489826835,76.63780482517816,76.63780482527817,76.70122380284869,76.70122380294869,76.75024706166148,76.75024706176148,76.77798244278118,76.77798244288118,76.80549549619653,76.80549549629653,76.83256389420313,76.83256389430314,76.85735343324,76.85735343334,76.88197622649857,76.88197622659857,76.90448690656567,76.90448690666567,76.92555245655439,76.92555245665439,76.93661325984661,76.93661325994661,76.94672917039529,76.94672917049529,76.9532878376741,76.9532878377741,76.95962417724854,76.95962417734854,76.96496004215334,76.96496004225334,76.96996241550157,76.96996241560157],[0.0,1e-10,0.511409301968823,0.511409302068823,0.9526186312839536,0.9526186313839536,1.3829339030851304,1.3829339031851304,1.794462483867346,1.794462483967346,2.187371119408875,2.187371119508875,2.5524887919046035,2.5524887920046035,2.892261106102562,2.892261106202562,3.228698504735024,3.228698504835024,3.563412863658647,3.563412863758647,3.895959527464697,3.895959527564697,4.222781252883313,4.222781252983313,4.542821983318753,4.542821983418753,4.858805233149505,4.858805233249505,5.1667846856230675,5.1667846857230675,5.474541810392264,5.474541810492264,5.769959747569125,5.769959747669125,6.063599063111054,6.063599063211054,6.355348593165869,6.355348593265869,6.630090053836653,6.630090053936653,6.902886147094232,6.902886147194232,7.173625709086422,7.173625709186422,7.432915394303742,7.432915394403742,7.6920383337427864,7.6920383338427865,7.944991679385664,7.944991679485664,8.194054290202128,8.194054290302129,8.442505499831586,8.442505499931586,8.687065974634633,8.687065974734633,8.92929200854183,8.92929200864183,9.171128968966388,9.171128969066388,9.407407736781785,9.407407736881785,9.64018484325341,9.64018484335341,9.871183328090105,9.871183328190105,10.100736682848417,10.100736682948417,10.328400252119616,10.328400252219616,10.555452420203808,10.555452420303808,10.77527893789609,10.77527893799609,10.993660325509993,10.993660325609993,11.206928175923466,11.206928176023466,11.41702785654972,11.41702785664972,11.626794045619421,11.626794045719421,11.836171161206483,11.836171161306483,12.042213361228049,12.042213361328049,12.247699741988699,12.247699742088699,12.4528526311928,12.4528526312928,12.65628248068806,12.65628248078806,12.857044397730924,12.857044397830924,13.055193964247481,13.055193964347481,13.250230942902911,13.250230943002911,13.442711152958125,13.442711153058125,13.634691125678517,13.634691125778517,13.826559934546724,13.826559934646724,14.017650596449649,14.017650596549649,14.205017269304436,14.205017269404436,14.391939286750492,14.391939286850493,14.577416174118165,14.577416174218165,14.762726315707564,14.762726315807564,14.94792529344478,14.94792529354478,15.130456338729598,15.130456338829598,15.312209237049133,15.312209237149133,15.49223909565983,15.49223909575983,15.672102208492252,15.672102208592252,15.851465083989849,15.851465084089849,16.029771902891707,16.029771902991705,16.204688224301975,16.204688224401973,16.379159890303512,16.37915989040351,16.552297590078847,16.552297590178846,16.724045741701897,16.724045741801895,16.893403870503004,16.893403870603002,17.06092779574309,17.06092779584309,17.227895901722263,17.22789590182226,17.394752843849247,17.394752843949245,17.559608836636937,17.559608836736935,17.723242027050613,17.72324202715061,17.886819635538195,17.886819635638194,18.049619097060493,18.04961909716049,18.21225181280452,18.21225181290452,18.373217070765797,18.373217070865795,18.532903944426966,18.532903944526964,18.692479654235953,18.69247965433595,18.8509993074492,18.8509993075492,19.0085184859928,19.008518486092797,19.16375880556664,19.16375880566664,19.318387723953474,19.318387724053473,19.472405241153304,19.472405241253302,19.626311594500947,19.626311594600946,19.778550490065843,19.77855049016584,20.082750371565176,20.082750371665174,20.234322284016972,20.23432228411697,20.38561628683831,20.38561628693831,20.536854707733557,20.536854707833555,20.687370563589614,20.687370563689612,20.837719673667397,20.837719673767396,20.98712389100162,20.987123891101618,21.13580554329665,21.13580554339665,21.283042065513303,21.2830420656133,21.42966718654295,21.42966718664295,21.722528355119596,21.722528355219595,21.868653238814414,21.868653238914412,22.014444630952685,22.014444631052683,22.159624621903948,22.159624622003946,22.304693449003025,22.304693449103024,22.447983654467176,22.447983654567174,22.590606876818224,22.590606876918223,22.732563116056173,22.73256311615617,22.87407469988539,22.87407469998539,23.015475119862423,23.01547511996242,23.15565273746544,23.15565273756544,23.29571919121628,23.295719191316277,23.43561889918884,23.435618899288837,23.575407443309214,23.575407443409212,23.71475133202086,23.71475133212086,23.852094271393206,23.852094271493204,23.989103719209,23.989103719309,24.263067032914506,24.263067033014504,24.399076006060653,24.39907600616065,24.534584741871978,24.534584741971976,24.669426494570203,24.6694264946702,24.80371242800751,24.80371242810751,24.937831615666543,24.93783161576654,25.07172847562121,25.07172847572121,25.205403007871514,25.205403007971512,25.33896637626963,25.33896637636963,25.472029507332923,25.47202950743292,25.60475914683967,25.604759146939667,25.737210876715952,25.73721087681595,25.86832864036604,25.86832864046604,25.999390822090035,25.999390822190033,26.130286258035756,26.130286258135754,26.261126112055386,26.261126112155385,26.39040967214445,26.39040967224445,26.51919299489869,26.51919299499869,26.64764282609638,26.64764282619638,26.90281944878292,26.90281944888292,27.15616186790844,27.15616186800844,27.409059631625226,27.409059631725224,27.53523060385316,27.53523060395316,27.660956920672362,27.66095692077236,27.786572073639384,27.786572073739382,27.911742571197667,27.911742571297665,28.036190503716764,28.036190503816762,28.160304944679307,28.160304944779305,28.284030312159214,28.284030312259212,28.407533351934752,28.40753335203475,28.530814064005924,28.530814064105922,28.653983612224913,28.65398361232491,28.77681966888735,28.776819668987347,28.899211070141057,28.899211070241055,29.021324561764303,29.0213245618643,29.14299339797882,29.14299339807882,29.264551070341152,29.26455107044115,29.3859975788513,29.385997578951297,29.507332923509264,29.507332923609262,29.628501522388955,29.628501522488953,29.749225465859915,29.749225465959913,29.990451025097464,29.990451025197462,30.110619149307503,30.1106191494075,30.230731691591455,30.230731691691453,30.350455160392762,30.35045516049276,30.589624188364922,30.58962418846492,30.708458346348767,30.708458346448765,30.82695901277606,30.82695901287606,30.94534851535117,30.94534851545117,31.063348944443643,31.06334894454364,31.18123820968393,31.181238209783928,31.416794412460135,31.416794412560133,31.534183440365595,31.534183440465593,31.651516886344965,31.651516886444963,31.76862800461997,31.768628004719968,31.885405631338426,31.885405631438424,32.000793709904585,32.00079371000459,32.11562596920984,32.11562596930984,32.23023590081072,32.23023590091072,32.34473466855942,32.34473466865942,32.458899944751565,32.45889994485157,32.57256498360889,32.572564983708894,32.799617151693084,32.799617151793086,32.91289311706777,32.91289311716777,33.02594675473808,33.02594675483808,33.13844457314748,33.13844457324748,33.25060890000033,33.25060890010033,33.362717644927095,33.3627176450271,33.47465964407558,33.47465964417558,33.58637931551969,33.586379315619695,33.80942958492529,33.80942958502529,33.9205378551824,33.920537855282404,34.03103472425251,34.03103472435251,34.14142042947043,34.14142042957043,34.25158380698398,34.25158380708398,34.47163265238063,34.47163265248063,34.58124021063327,34.58124021073327,34.690514277329356,34.69051427742936,34.79945485246889,34.79945485256889,35.017169256969694,35.017169257069696,35.12555401284832,35.12555401294832,35.23366085909648,35.23366085919648,35.340433739118446,35.34043373921845,35.44703987336214,35.44703987346214,35.55359042567974,35.55359042577974,35.65980748644079,35.65980748654079,35.76569105564529,35.76569105574529,35.87135229714542,35.87135229724542,35.97634655553246,35.97634655563246,36.08089615851076,36.08089615861076,36.18539017956297,36.185390179662974,36.28871698016726,36.28871698026726,36.39187703499327,36.39187703509327,36.494981507893186,36.49498150799319,36.59803039886702,36.59803039896702,36.700801380210386,36.70080138031039,36.803072124218936,36.80307212431894,36.90528728630139,36.90528728640139,37.00705779297511,37.00705779307511,37.10855039001837,37.108550390118374,37.20987624128337,37.20987624138337,37.310979764843985,37.31097976494399,37.41141630529151,37.41141630539151,37.511130280699845,37.51113028079985,37.61073309225599,37.61073309235599,37.80977196959002,37.80977196969002,37.908985707663525,37.90898570776353,38.00808828188485,38.008088281984854,38.1070241103279,38.1070241104279,38.20579319299267,38.205793193092674,38.30411762024872,38.30411762034872,38.401886228243846,38.40188622834385,38.49937692660851,38.499376926708514,38.59647855149054,38.59647855159054,38.69352459444648,38.69352459454648,38.789625744658856,38.78962574475886,38.88533782138859,38.88533782148859,38.98071640656178,38.980716406661784,39.171417994982065,39.17141799508207,39.26640750667261,39.26640750677261,39.361285854510975,39.361285854610976,39.45599745657106,39.455997456671064,39.55009765744414,39.55009765754414,39.64403111253895,39.64403111263895,39.73785340378157,39.73785340388157,39.925331240488546,39.92533124058855,40.018708876322435,40.01870887642244,40.11186418445196,40.11186418455196,40.20474158295102,40.204741583051025,40.389773814909965,40.38977381500997,40.573805572199255,40.57380557229926,40.66557133217649,40.66557133227649,40.75728151022763,40.75728151032763,40.84876936057441,40.84876936067441,40.93936790010372,40.93936790020372,41.02991085770694,41.02991085780694,41.12034265145797,41.12034265155797,41.210718863282914,41.210718863382915,41.390581976115335,41.39058197621534,41.56911112272156,41.56911112282156,41.657931040615935,41.65793104071594,41.83523738484814,41.835237384948144,41.92366822925988,41.92366822935988,42.01204349174553,42.01204349184553,42.1002520084529,42.1002520085529,42.188349361308084,42.188349361408086,42.27633555031109,42.27633555041109,42.45225234639101,42.452252346491015,42.62794681476656,42.62794681486656,42.71554393028693,42.71554393038693,42.803085463881196,42.8030854639812,42.977612711808824,42.977612711908826,43.06448726229,43.06448726239,43.15125064891899,43.15125064901899,43.237847289769704,43.237847289869705,43.32427718484214,43.32427718494214,43.41009567872757,43.410095678827574,43.495858590686915,43.495858590786916,43.581454756867984,43.581454756967986,43.666995341122956,43.66699534122296,43.751702196486555,43.75170219658656,43.83624230607188,43.83624230617188,43.92033776024847,43.920337760348474,44.004044140942426,44.00404414104243,44.0875837758581,44.0875837759581,44.170678755365046,44.17067875546505,44.2537181529459,44.2537181530459,44.335812657783194,44.335812657883196,44.417851580694396,44.4178515807944,44.499723757827326,44.49972375792733,44.58142918918198,44.581429189281984,44.66302345668445,44.66302345678445,44.74139397247361,44.74139397257361,44.81965332441058,44.81965332451058,44.89602289086044,44.896022890960445,44.97083616337974,44.97083616347974,45.04409314196847,45.04409314206847,45.11618290010927,45.116182900209274,45.18704985587607,45.18704985597607,45.25319234792507,45.253192348025074,45.31633341596513,45.316333416065135,45.44194856893215,45.44194856903215,45.498419805841216,45.49841980594122,45.55455755119373,45.55455755129373,45.60808294601995,45.60808294611995,45.65944064572859,45.65944064582859,45.70223872881912,45.70223872891912,45.74286911679208,45.74286911689208,45.78277693972585,45.78277693982585,45.81890519168539,45.81890519178539,45.85036456185323,45.850364561953235,45.88137927661235,45.88137927671235,45.90961489506688,45.90961489516688,45.93668329307349,45.936683293173495,45.96319587181919,45.96319587191919,45.9895417047866,45.989541704886605,46.01244145833635,46.01244145843635,46.03517446610781,46.03517446620781,46.05101531504391,46.051015315143914,46.06485521464072,46.064855214740724,46.07836162268098,46.07836162278098,46.089700335603666,46.08970033570367,46.098537861852236,46.09853786195224,46.104874201426675,46.10487420152668,46.10965424707055,46.10965424717055],[0.0,1e-10,0.9651801465806555,0.9651801466806555,1.7194268836436843,1.7194268837436844,2.411366281558028,2.411366281658028,3.0462230413762974,3.0462230414762974,3.663182420993071,3.663182421093071,4.24595891606351,4.24595891616351,4.825789569051095,4.825789569151095,5.391057757402679,5.391057757502679,5.95032309773637,5.95032309783637,6.472404129514781,6.472404129614781,6.976976854574337,6.976976854674337,7.476491624359557,7.476491624459557,7.9614995114348694,7.9614995115348695,8.436558233739785,8.436558233839785,8.896387508295602,8.896387508395602,9.352659539581557,9.352659539681557,9.80059428195377,9.80059428205377,10.220126660093177,10.220126660193177,10.630988257762294,10.630988257862294,11.019005683807762,11.019005683907762,11.385068249047048,11.385068249147048,11.743960745820518,11.743960745920518,12.076507409626567,12.076507409726567,12.407553361428144,12.407553361528144,12.73720976507743,12.73720976517743,13.055082800395299,13.055082800495299,13.372844671860983,13.372844671960983,13.686437898869798,13.686437898969798,13.994139441712901,13.994139441812901,14.293837187198815,14.293837187298815,14.587754412371202,14.587754412471202,14.881560473691406,14.881560473791406,15.165528534093397,15.165528534193397,15.448107046343099,15.448107046443099,15.723626653979165,15.723626654079165,15.997367639980302,15.997367640080302,16.26844069352904,16.26844069362904,16.538624436260314,16.538624436360312,16.806696065800107,16.806696065900105,17.072099762887504,17.072099762987502,17.336669731083525,17.336669731183523,17.59923874994025,17.599238750040247,17.857083305079186,17.857083305179184,18.114094131326752,18.11409413142675,18.367380968526177,18.367380968626176,18.615776596229544,18.615776596329543,18.863505240819812,18.86350524091981,19.111011557705712,19.11101155780571,19.358073219182877,19.358073219282875,19.60285602169029,19.602856021790288,19.845304383301855,19.845304383401853,20.086863434095953,20.08686343419595,20.325365478955014,20.325365479055012,20.559698879357207,20.559698879457205,20.788696414854602,20.7886964149546,21.014525780564778,21.014525780664776,21.23468578981361,21.23468578991361,21.451510883496947,21.451510883596946,21.667613412141094,21.667613412241092,21.881937319150307,21.881937319250305,22.095927734602974,22.095927734702972,22.309140003090356,22.309140003190354,22.518072463268684,22.518072463368682,22.723225352472785,22.723225352572783,22.927433348933327,22.927433349033326,23.13025179724158,23.13025179734158,23.330013239614797,23.330013239714795,23.529330026579277,23.529330026679276,23.726757028056646,23.726757028156644,23.92385053797746,23.92385053807746,24.119721245524264,24.119721245624262,24.312812856766488,24.312812856866486,24.502847462073674,24.502847462173673,24.69088111804156,24.690881118141558,24.876246841557048,24.876246841657046,25.0605565084768,25.0605565085768,25.2438657007269,25.2438657008269,25.42678581949436,25.426785819594357,25.608483135887806,25.608483135987804,25.7898469607247,25.789846960824697,25.96832052540483,25.96832052550483,26.146293852750137,26.146293852850135,26.321710411495232,26.32171041159523,26.4966267329055,26.4966267330055,26.67148747238968,26.671487472489677,26.843569115569277,26.843569115669276,27.015372849118414,27.015372849218412,27.185953780293538,27.185953780393536,27.35581214642947,27.35581214652947,27.525559348713223,27.52555934881322,27.69230512698803,27.692305127088026,27.858217176371458,27.858217176471456,28.02396247997661,28.02396248007661,28.18926312817303,28.18926312827303,28.35128444273005,28.35128444283005,28.51030433327812,28.51030433337812,28.66826816723045,28.66826816733045,28.823230577173838,28.823230577273836,28.977915077486763,28.97791507758676,29.132377250095324,29.132377250195322,29.285505456477683,29.28550545657768,29.438244589377405,29.438244589477403,29.59076139457276,29.590761394672757,29.742611216655014,29.742611216755012,29.89412754718072,29.894127547280718,30.045088058445508,30.045088058545506,30.191546433696875,30.191546433796873,30.33611502346113,30.336115023561128,30.478682663886087,30.478682663986085,30.619916338084845,30.619916338184844,30.75992720990959,30.75992721000959,30.89977133595606,30.89977133605606,31.03933755237207,31.03933755247207,31.178737023009806,31.178737023109804,31.31702485512571,31.317024855225707,31.453923139089323,31.45392313918932,31.59021002186593,31.590210021965927,31.726052249233803,31.7260522493338,31.85850397911009,31.858503979210088,31.990566635503733,31.99056663560373,32.12218463648865,32.12218463658865,32.25213517969081,32.25213517979081,32.511980684169046,32.51198068426905,32.63954120454927,32.63954120464927,32.76554543099893,32.76554543109893,32.890215691222394,32.890215691322396,33.014830369519764,33.014830369619766,33.136332459956,33.136332460056,33.257612222687875,33.25761222278788,33.37816942038056,33.37816942048056,33.49739265184704,33.497392651947045,33.61617122790479,33.616171228004795,33.73406049314508,33.73406049324508,33.85144952105054,33.85144952115054,33.96828272969509,33.96828272979509,34.084448955226534,34.084448955326536,34.20022610727534,34.20022610737534,34.315892095471966,34.31589209557197,34.43066877285112,34.43066877295112,34.54516754059982,34.54516754069982,34.65877699753105,34.65877699763105,34.771663889423095,34.7716638895231,34.8841617078325,34.8841617079325,34.9966039443158,34.9966039444158,35.108545943464286,35.10854594356429,35.220154451056224,35.220154451156226,35.33159621286988,35.331596212969885,35.441926336161714,35.441926336261716,35.551311566709984,35.551311566809986,35.66058563340607,35.660585633506074,35.769581790471705,35.769581790571706,35.87852236561124,35.87852236571124,35.98735177689859,35.987351776998594,36.095569786998944,36.095569787098945,36.202120339316544,36.202120339416545,36.30778158081667,36.307781580916675,36.41333165846463,36.41333165856463,36.5187149903343,36.518714990434304,36.623931576425704,36.623931576525706,36.72759186858654,36.727591868686545,36.83102983304301,36.83102983314301,36.93374523246029,36.93374523256029,37.03596039454274,37.03596039464274,37.13761973736428,37.137619737464284,37.34088284108127,37.34088284118127,37.44231985619844,37.44231985629844,37.540032882267475,37.54003288236748,37.637134507149504,37.637134507249506,37.73406938625325,37.734069386353255,37.830837519578736,37.83083751967874,37.92738332519985,37.92738332529985,38.02337331156004,38.023373311660045,38.119252134068056,38.11925213416806,38.21501979272388,38.21501979282388,38.31073186945362,38.31073186955362,38.40588812692244,38.40588812702244,38.50054414705644,38.50054414715644,38.68968944154616,38.68968944164616,38.78390080627142,38.78390080637142,38.87761193366186,38.87761193376186,38.971267479126205,38.971267479226206,39.06458953303401,39.06458953313401,39.15785600501572,39.15785600511572,39.251066895071325,39.25106689517133,39.34377754779212,39.343777547892124,39.435932381251995,39.435932381351996,39.52758697737704,39.52758697747704,39.618574590388995,39.618574590489,39.70933987569658,39.70933987579658,39.799827251373706,39.79982725147371,39.89003671742038,39.89003671752038,39.98013501961486,39.980135019714865,40.070177739883256,40.07017773998326,40.16016487822556,40.16016487832556,40.25009643464177,40.25009643474177,40.339805663353616,40.33980566345362,40.429459310139364,40.429459310239366,40.518723883442476,40.51872388354248,40.6079328748195,40.6079328749195,40.78629527564745,40.78629527574745,40.87433704657654,40.874337046676544,40.96210090787518,40.962100907975184,41.049364531839,41.049364531939,41.13596117268971,41.13596117278971,41.222335485836055,41.22233548593606,41.30848747127804,41.308487471378044,41.48068027830982,41.48068027840982,41.566554354121344,41.566554354221346,41.65237284800678,41.65237284810678,41.73791343226175,41.73791343236175,41.90843878151078,41.90843878161078,41.99336796457875,41.993367964678754,42.07818598379453,42.078185983894535,42.162448183749405,42.162448183849406,42.246488055999905,42.246488056099906,42.33025001861994,42.330250018719944,42.41378965353562,42.413789653635625,42.58075775951479,42.58075775961479,42.66401948480001,42.66401948490001,42.74678097275041,42.74678097285041,42.82859756795724,42.82859756805724,42.90908019693788,42.90908019703788,42.98884026087933,42.98884026097933,43.0658212285162,43.0658212286162,43.136465856578624,43.136465856678626,43.19627200905318,43.19627200915318,43.244350375122416,43.24435037522242,43.27141877312903,43.27141877322903,43.294485272457045,43.29448527255705,43.316884788671956,43.31688478877196,43.32361020172904,43.32361020182904,43.33016886900785,43.33016886910785,43.336505208582295,43.3365052086823,43.342341310821915,43.34234131092192],[0.0,1e-10,4.598070417853804,4.598070417953804,8.976425481867508,8.976425481967508,12.913793544270447,12.913793544370447,16.239816001591866,16.239816001691864,19.280592014211187,19.280592014311186,22.20964835538639,22.209648355486387,24.976071980817565,24.976071980917563,27.595147920179908,27.595147920279906,30.085940774122832,30.08594077422283,32.22545585516684,32.225455855266844,34.34701797408326,34.34701797418326,36.27204240233978,36.27204240243978,38.01648115272468,38.01648115282468,39.62807909975066,39.62807909985066,41.078878534593635,41.07887853469364,42.448583939268964,42.448583939368966,43.67966802027184,43.67966802037184,44.85783810763551,44.85783810773551,45.988263320486496,45.9882633205865,47.07455648402075,47.074556484120755,48.05757842887681,48.05757842897681,49.02564883561423,49.02564883571423,49.988716869003404,49.988716869103406,50.941168754509086,50.94116875460909,51.893398312310396,51.8933983124104,52.844238321959416,52.84423832205942,53.76000613624464,53.76000613634464,54.54982530600629,54.54982530610629,55.30068154557774,55.30068154567774,56.040365818004766,56.04036581810477,56.67494466819257,56.674944668292575,57.28784656720466,57.28784656730466,57.885352272689374,57.885352272789376,58.46379337752467,58.46379337762467,59.03234089951566,59.03234089961566,59.50573216403782,59.505732164137825,59.95472296300578,59.95472296310578,60.39771091395584,60.39771091405584,60.82847084116575,60.828470841265755,61.21659943106341,61.21659943116341,61.58833135276404,61.58833135286404,61.9551720649686,61.9551720650686,62.31406456174207,62.31406456184207,62.65383687594003,62.65383687604003,62.95559115269133,62.955591152791335,63.23883664805413,63.238836648154134,63.513578108724914,63.513578108824916,63.76219606413265,63.762196064232654,64.00186532943964,64.00186532953964,64.21891275082734,64.21891275092734,64.43168036390598,64.43168036400598,64.63394299295332,64.63394299305332,64.8293134631653,64.82931346326531,65.02012621543777,65.02012621553777,65.20048956560501,65.20048956570501,65.35767525259206,65.35767525269206,65.51424953839211,65.51424953849211,65.65342668132547,65.65342668142547,65.79065845684563,65.79065845694564,65.92177622049573,65.92177622059573,66.05150443599352,66.05150443609352,66.18078799608259,66.18078799618259,66.30229008651882,66.30229008661883,66.39683494280064,66.39683494290064,66.47987434038149,66.47987434048149,66.56169093558833,66.56169093568833,66.63250230942903,66.63250230952903,66.68469373802904,66.68469373812904,66.73605143773769,66.73605143783769,66.77851602927167,66.77851602937167,66.81725663175752,66.81725663185752,66.84499201287723,66.84499201297723,66.86983713384016,66.86983713394017,66.89234781390726,66.89234781400727,66.90779958936074,66.90779958946074,66.92241763592283,66.92241763602283,66.93347843921505,66.93347843931505,66.94181572812879,66.94181572822879,66.95004185319034,66.95004185329034,66.95815681439971,66.95815681449972],[0.0,1e-10,2.619576176697166,2.619576176797166,4.754589121727753,4.754589121827753,6.6795579680581785,6.6795579681581785,8.43044422186971,8.43044422196971,10.13831006488634,10.13831006498634,11.782145529045447,11.782145529145447,13.307035671368528,13.307035671468528,14.792962883501394,14.792962883601394,16.162668288176725,16.162668288276723,17.488408389313598,17.488408389413596,18.794639234392317,18.794639234492315,20.060017363793712,20.06001736389371,21.147700075480255,21.147700075580254,22.22459989350503,22.224599893605028,23.284547224071865,23.284547224171863,24.281798142007375,24.281798142107373,25.2504799499318,25.2504799500318,26.206933734116074,26.206933734216072,27.150381347594916,27.150381347694914,28.093551051443296,28.093551051543294,29.03088465305206,29.030884653152057,29.96366053672131,29.96366053682131,30.806393700122168,30.806393700222166,31.63851071563953,31.638510715739528,32.46884910952196,32.468849109621964,33.29574142398671,33.295741424086714,34.115019014576916,34.11501901467692,34.918678083935376,34.91867808403538,35.599890170114044,35.599890170214046,36.25308896554254,36.25308896564254,36.89244786137423,36.89244786147423,37.5206903719876,37.5206903720876,38.133592270999685,38.13359227109969,38.70564145433445,38.70564145443445,39.275745270255996,39.275745270356,39.84434837417308,39.84434837427308,40.409338652894206,40.40933865299421,40.95687620682257,40.95687620692257,41.492908302049976,41.49290830214998,42.02371569622476,42.023715696324764,42.531178681441084,42.531178681541085,43.030026468113206,43.03002646821321,43.52392746336317,43.523927463463174,44.01304841296926,44.013048413069264,44.45781498555426,44.45781498565426,44.8863516357205,44.8863516358205,45.31449921240411,45.31449921250411,45.74047909397014,45.74047909407014,46.136778227003255,46.13677822710326,46.50417475846874,46.504174758568745,46.86340074679876,46.86340074689876,47.22218207972004,47.222182079820044,47.56995819127519,47.56995819137519,47.90973050547315,47.90973050557315,48.22782586849539,48.22782586859539,48.52963572717278,48.52963572727278,48.828444161841226,48.82844416194123,49.1211385846396,49.121138584739604,49.40933087142455,49.40933087152455,49.69502197153538,49.695021971635384,49.97710024645026,49.977100246550265,50.25200845289932,50.25200845299932,50.510019753816536,50.51001975391654,50.75674792373715,50.75674792383715,50.99558346015276,50.99558346025276,51.2322513014508,51.232251301550804,51.4492987228385,51.4492987229385,51.66456752259128,51.66456752269128,51.87633466100027,51.87633466110027,52.06898161683377,52.06898161693377,52.24956729470538,52.24956729480538,52.428930170202975,52.428930170302976,52.59445314610376,52.59445314620376,52.75836424614789,52.75836424624789,52.90832428274304,52.90832428284304,53.051558906281095,53.051558906381096,53.18623391320104,53.186233913301045,53.305846218150165,53.30584621825017,53.42495828576447,53.42495828586447,53.53323187779091,53.53323187789091,53.63639193261692,53.63639193271692,53.73471635987296,53.734716359972964,53.831317747420165,53.83131774752017,53.92586260370198,53.92586260380198,54.01729487212266,54.017294872222664,54.106670609277955,54.10667060937796,54.19360074168522,54.193600741785225,54.28036412831421,54.28036412841421,54.34556172761966,54.34556172771966,54.39202821783224,54.39202821793224,54.437827724931715,54.43782772503172,54.470454315547485,54.47045431564749,54.492964995614585,54.49296499571459,54.50107995682396,54.50107995692396,54.507527460250586,54.50752746035059],[0.0,1e-10,2.4049187781314023,2.4049187782314023,4.793774379622332,4.793774379722332,7.047510318784579,7.047510318884579,9.255669078551714,9.255669078651714,11.39518415959572,11.39518415969572,13.476949619430552,13.476949619530552,15.379741277250428,15.379741277350428,17.15741801943811,17.15741801953811,18.930036806351456,18.930036806451454,20.694651795907614,20.694651796007612,22.385453987614124,22.385453987714122,24.00538922355384,24.00538922365384,25.588251314790462,25.58825131489046,26.980689727237255,26.980689727337253,28.350450713838676,28.350450713938674,29.701869664829868,29.701869664929866,30.96296798592221,30.962967986022207,32.17965634806736,32.17965634816736,33.34265256960803,33.34265256970803,34.49808964920023,34.49808964930023,35.62851486205122,35.62851486215122,36.71480802558547,36.71480802568547,37.75513493624197,37.755134936341975,38.794461372228824,38.794461372328826,39.794769296099375,39.79476929619938,40.75839314874946,40.758393148849464,41.72135001828645,41.72135001838645,42.67163420867456,42.67163420877456,43.5773416943372,43.5773416944372,44.47560120190357,44.475601202003574,45.373026980578565,45.37302698067857,46.26194872456154,46.26194872466154,47.144145055487435,47.14414505558744,48.01277939644698,48.01277939654698,48.869685951001195,48.8696859511012,49.669176375902786,49.66917637600279,50.461385568486385,50.46138556858639,51.23947695184271,51.23947695194271,52.0091754643592,52.009175464459204,52.7715371626316,52.771537162731605,53.52239340220304,53.522393402303045,54.269803562356806,54.26980356245681,55.014768117762536,55.01476811786254,55.75428564441129,55.75428564451129,56.477350920936935,56.47735092103694,57.16489934669004,57.164899346790044,57.83799647165933,57.83799647175933,58.494252273022866,58.49425227312287,59.14411615288587,59.14411615298587,59.75068171232351,59.750681712423514,60.32678837626296,60.32678837636296,60.88488649614873,60.88488649624873,61.40869056763598,61.40869056773598,61.927269938070616,61.92726993817062,62.414223192559135,62.414223192659136,62.887614457081305,62.88761445718131,63.356503585590055,63.35650358569006,63.78726351279996,63.78726351289996,64.20679589093936,64.20679589103936,64.59492448083702,64.59492448093702,64.96660082061156,64.96660082071156,65.32427051501101,65.32427051511101,65.67354733857063,65.67354733867063,66.0192113369343,66.0192113370343,66.36165158358466,66.36165158368466,66.70142389778262,66.70142389788262,67.0383615337499,67.03836153384991,67.36585024228161,67.36585024238161,67.69322778696115,67.69322778706115,68.01988276660148,68.01988276670149,68.34370306801115,68.34370306811115,68.6657447477859,68.6657447478859,68.97555840382049,68.97555840392049,69.27731268057178,69.27731268067178,69.57612111524023,69.57612111534023,69.8694825211517,69.8694825212517,70.15100497680567,70.15100497690567,70.4293592626724,70.42935926277241,70.68781521899835,70.68781521909835,70.94571535606337,70.94571535616338,71.19016466701424,71.19016466711425,71.42983393232123,71.42983393242123,71.66716875673237,71.66716875683237,71.90328077876948,71.90328077886949,72.1375030153195,72.1375030154195,72.35015946454595,72.35015946464596,72.55603491878925,72.55603491888925,72.75385099374925,72.75385099384926,72.94260721475634,72.94260721485634,73.12558291544988,73.12558291554988,73.30589068369105,73.30589068379105,73.47869489190983,73.47869489200983,73.63460219459677,73.63460219469677,73.78739690942258,73.78739690952258,73.93252131844775,73.93252131854776,74.06363908209784,74.06363908219784,74.1929226421869,74.1929226422869,74.32176154686724,74.32176154696724,74.44598715168196,74.44598715178196,74.56632202167029,74.56632202177029,74.68521176158022,74.68521176168022,74.79198464160218,74.79198464170219,74.89664540843266,74.89664540853266,74.99980546325868,74.99980546335868,75.09957502059311,75.09957502069311,75.19512035154456,75.19512035164456,75.28966520782637,75.28966520792638,75.38337633521682,75.38337633531683,75.47675397105071,75.47675397115071,75.56640761783646,75.56640761793646,75.65450497069165,75.65450497079165,75.74199092235983,75.74199092245983,75.82730917891044,75.82730917901044,75.90606876818224,75.90606876828224,75.96670864954818,75.96670864964818,76.01806634925681,76.01806634935681,76.04580173037652,76.04580173047653,76.07003545015246,76.07003545025246,76.09249054829347,76.09249054839347,76.11311144287345,76.11311144297345,76.12978602070093,76.12978602080094,76.14084682399316,76.14084682409316],[0.0,1e-10,2.6548151178392416,2.6548151179392416,4.421708966365153,4.421708966465153,6.073826137511908,6.073826137611908,7.707712436900619,7.707712437000619,9.252222999134034,9.252222999234034,10.700076591894154,10.700076591994154,12.123585301026154,12.123585301126154,13.513522526798825,13.513522526898825,14.869999433064354,14.869999433164354,16.169727192790358,16.169727192890356,17.404424098989185,17.404424099089184,18.62956091390026,18.62956091400026,19.79266829929311,19.792668299393107,20.92220420132663,20.922204201426627,21.978371960919237,21.978371961019235,23.014808136749323,23.01480813684932,24.033958333564925,24.033958333664923,25.048995467849746,25.048995467949744,26.057974172190583,26.05797417229058,27.059838389991697,27.059838390091695,28.05697814407502,28.05697814417502,28.96429750559432,28.96429750569432,29.859333261447375,29.859333261547373,30.67894434359413,30.678944343694127,31.46970840609934,31.469708406199338,32.23245917785438,32.23245917795438,32.98926268351762,32.989262683617625,33.738840538788956,33.73884053888896,34.40576806996208,34.40576807006208,35.06474738570411,35.06474738580411,35.710776112666785,35.71077611276679,36.3360727811973,36.336072781297304,36.94525069116125,36.94525069126125,37.54748086036375,37.54748086046375,38.14381934540054,38.14381934550054,38.632940295006634,38.632940295106636,39.12017145912561,39.12017145922561,39.57677698196811,39.57677698206811,40.0314927193235,40.031492719423504,40.45952913215492,40.45952913225492,40.87272517071989,40.87272517081989,41.2749715698448,41.2749715699448,41.6648231994513,41.6648231995513,42.03221973091678,42.03221973101678,42.39450272518184,42.39450272528184,42.735720169458176,42.73572016955818,43.07065685608617,43.07065685618617,43.40186955366602,43.40186955376602,43.7302475730152,43.7302475731152,44.028389024570544,44.028389024670545,44.314135706607466,44.31413570670747,44.583708048151735,44.58370804825174,44.851112694578426,44.85111269467843,45.09367222004217,45.093672220142174,45.33367497690571,45.333674977005714,45.561449710029095,45.5614497101291,45.77849713141679,45.778497131516794,45.96908755598489,45.969087556084894,46.147839030295486,46.14783903039549,46.313473170048454,46.313473170148455,46.47882940017097,46.478829400270975,46.64401888451521,46.644018884615214,46.80314993891546,46.80314993901546,46.95483301521944,46.954833015319444,47.08011467662991,47.08011467672991,47.18666522894751,47.18666522904751,47.28498965620356,47.28498965630356,47.370307912754164,47.370307912854166,47.452124507961,47.452124508061004,47.51604372296634,47.51604372306634,47.5751828923278,47.575182892427804,47.63054249071504,47.63054249081504,47.6817334446454,47.681733444745404,47.7234754711402,47.7234754712402,47.75971488695192,47.75971488705192,47.79311962453297,47.79311962463297,47.81774241779155,47.81774241789155,47.84103124482393,47.84103124492393,47.846311527802634,47.846311527902635],[0.0,1e-10,6.548718114038549,6.548718114138549,10.589468558971868,10.589468559071868,14.19367855638175,14.19367855648175,17.649484811127056,17.649484811227055,20.975507268448474,20.975507268548473,24.124945946576876,24.124945946676874,27.063951452522474,27.063951452622472,29.914248204425878,29.914248204525876,32.62119916893904,32.621199169039045,35.31475488926413,35.31475488936413,37.80565890705924,37.80565890715924,40.273162933969786,40.27316293406979,42.59187414473311,42.59187414483311,44.7169379249933,44.716937925093305,46.62211960563512,46.62211960573512,48.481223869546994,48.481223869646996,50.25584360579964,50.25584360589964,52.02484956751703,52.02484956761703,53.699366254878704,53.699366254978706,55.29806919505143,55.298069195151434,56.7488686298944,56.748868629994405,58.16392888626048,58.16392888636048,59.53363429093581,59.53363429103581,60.89461333321476,60.89461333331476,62.2000660313282,62.2000660314282,63.468723494368994,63.468723494468996,64.69980757537186,64.69980757547187,65.85730118622946,65.85730118632947,66.97538721148811,66.97538721158811,68.0012072394347,68.00120723953471,68.9701113750635,68.9701113751635,69.92089580278643,69.92089580288643,70.78769594018496,70.78769594028496,71.59530132629592,71.59530132639593,72.34615756586736,72.34615756596736,73.08873209845116,73.08873209855116,73.81618834713804,73.81618834723804,74.44254107226429,74.44254107236429,75.0016396668197,75.0016396669197,75.5211639299979,75.5211639300979,75.99394379333306,75.99394379343306,76.42470372054296,76.42470372064297,76.84301329630836,76.84301329640836,77.22802929834488,77.22802929844488,77.61121109682038,77.61121109692039,77.97944135717724,77.97944135727724,78.3085975234917,78.3085975235917,78.63069478519253,78.63069478529253,78.93561723173106,78.93561723183106,79.23742709040845,79.23742709050845,79.52884312890671,79.52884312900672,79.81042116648676,79.81042116658676,80.06837688547789,80.06837688557789,80.32144139497295,80.32144139507295,80.56950353111976,80.56950353121977,80.80778324827446,80.80778324837446,81.04161641134182,81.04161641144182,81.26366620607777,81.26366620617777,81.48071362746548,81.48071362756548,81.69353682247022,81.69353682257022,81.89579945151755,81.89579945161755,82.08661220379003,82.08661220389003,82.26697555395727,82.26697555405727,82.42288285664421,82.42288285674421,82.5645056043256,82.5645056044256,82.70334925570243,82.70334925580244,82.83996963003558,82.83996963013558,82.97097622983348,82.97097622993348,83.10031537184864,83.10031537194864,83.2295989319377,83.2295989320377,83.35843783661804,83.35843783671804,83.48327484261978,83.48327484271978,83.60360971260809,83.60360971270809,83.72116548629182,83.72116548639183,83.83610890944927,83.83610890954927,83.94843998208039,83.94843998218039,84.05977058004187,84.05977058014187,84.16632113235947,84.16632113245947,84.2673134920679,84.2673134921679,84.3659158289544,84.3659158290544,84.46046068523621,84.46046068533622,84.5538383210701,84.5538383211701,84.64527058949079,84.6452705895908,84.73236746767633,84.73236746777633,84.81418406288317,84.81418406298317,84.89322156178542,84.89322156188543,84.97103625831366,84.97103625841366,85.04284810682401,85.04284810692401,85.09548419083276,85.09548419093277,85.1467863086153,85.1467863087153,85.19803284447177,85.19803284457177,85.23443900606176,85.23443900616176,85.26962236527775,85.26962236537776,85.29735774639745,85.29735774649745,85.32442614440407,85.32442614450407,85.35143896048459,85.35143896058459,85.3757838441127,85.3757838442127,85.38212018368715,85.38212018378715,85.38762279437022,85.38762279447022],[0.0,1e-10,3.353313183032394,3.353313183132394,6.070213312315954,6.070213312415954,8.69117903716541,8.69117903726541,11.28068539184702,11.28068539194702,13.831673471747152,13.831673471847152,16.216527174559484,16.216527174659483,18.46181466095581,18.461814661055808,20.672752517027522,20.67275251712752,22.882300824946945,22.882300825046944,25.02181590599095,25.02181590609095,27.057670694874123,27.05767069497412,29.03705424684823,29.037054246948227,30.896102928834015,30.896102928934013,32.67883762629603,32.67883762639603,34.40115477009648,34.401154770196484,36.08823297275485,36.088232972854854,37.61962620043065,37.619626200530654,39.07037005334753,39.07037005344753,40.505550966958765,40.50555096705877,41.92411288466862,41.92411288476862,43.26141402643254,43.26141402653254,44.44636510877939,44.44636510887939,45.63070478993923,45.63070479003923,46.79375659340598,46.79375659350598,47.89527920468934,47.89527920478934,48.96172962060889,48.961729620708894,49.93858197166878,49.938581971768784,50.90226140624496,50.90226140634496,51.83731614888397,51.83731614898397,52.7430792164727,52.7430792165727,53.634113073647164,53.634113073747166,54.51353030826848,54.51353030836848,55.37983020833217,55.379830208432175,56.20105316633558,56.201053166435585,57.020775412334515,57.02077541243452,57.839052528255074,57.839052528355076,58.63470780025634,58.634707800356345,59.42675024706166,59.426750247161664,60.21779221919733,60.21779221929733,61.00077481204972,61.00077481214972,61.764248148843954,61.764248148943956,62.515104388415395,62.5151043885154,63.257067519812175,63.25706751991218,63.99469526097382,63.99469526107382,64.73110019976144,64.73110019986144,65.44821821019528,65.44821821029528,66.14943978976692,66.14943978986692,66.83832218174622,66.83832218184622,67.51136372478943,67.51136372488943,68.18268222812378,68.18268222822378,68.85138838093184,68.85138838103184,69.48618955882402,69.48618955892402,70.11276461165464,70.11276461175464,70.70560143534766,70.70560143544766,71.23879885234439,71.23879885244439,71.74526136289106,71.74526136299106,72.22471105735721,72.22471105745721,72.7006035085535,72.7006035086535,73.16610213957067,73.16610213967067,73.61776087099102,73.61776087109102,74.06864145544608,74.06864145554609,74.49573297553395,74.49573297563396,74.91882259694322,74.91882259704322,75.32301436348133,75.32301436358134,75.72009164347973,75.72009164357974,76.10594137440764,76.10594137450764,76.48979015599623,76.48979015609623,76.86663561489729,76.86663561499729,77.23681124266736,77.23681124276736,77.59620397677566,77.59620397687566,77.95281761457936,77.95281761467936,78.3079861223047,78.3079861224047,78.66082018913418,78.66082018923419,79.0088186283937,79.0088186284937,79.33958667056481,79.33958667066481,79.66813143569227,79.66813143579228,79.99650945504145,79.99650945514145,80.31032500975464,80.31032500985464,80.6201942477153,80.6201942478153,80.92834044596714,80.92834044606714,81.23003914079236,81.23003914089236,81.50750411584163,81.50750411594163,81.77602040079016,81.77602040089016,82.02269298878468,82.02269298888469,82.25741546266951,82.25741546276952,82.47924292970109,82.47924292980109,82.69629035108879,82.6962903511888,82.91211497010248,82.91211497020248,83.12549398436813,83.12549398446814,83.3382060155207,83.3382060156207,83.53813420367219,83.53813420377219,83.71521822020003,83.71521822030003,83.88290889121839,83.8829088913184,84.04287367451002,84.04287367461002,84.2005040169058,84.2005040170058,84.34562842593097,84.34562842603097,84.48063692440746,84.48063692450746,84.61175468805756,84.61175468815756,84.74187197703799,84.74187197713799,84.87071088171832,84.87071088181833,84.99843814787683,84.99843814797683,85.12266375269155,85.12266375279155,85.2454442274279,85.2454442275279,85.36694631786415,85.36694631796415,85.48583605777408,85.48583605787408,85.59388732209615,85.59388732219615,85.7007713659703,85.7007713660703,85.8073219182879,85.8073219183879,85.90681356599187,85.90681356609187,86.00213656923896,86.00213656933896,86.09668142552077,86.09668142562077,86.19005906135466,86.19005906145466,86.27860106961859,86.27860106971859,86.36569794780412,86.36569794790412,86.45262808021138,86.45262808031138,86.53905797528382,86.53905797538383,86.62437623183443,86.62437623193443,86.7013571994713,86.7013571995713,86.772168573312,86.772168573412,86.83558755098252,86.83558755108253,86.88683408683897,86.88683408693898,86.93802504076935,86.93802504086935,86.98449153098193,86.98449153108193,87.02073094679365,87.02073094689365,87.04779934480025,87.04779934490026,87.07358935850675,87.07358935860675,87.09837889754361,87.09837889764361,87.12088957761071,87.12088957771071,87.14195512759943,87.14195512769943,87.15790714038772,87.15790714048772,87.16896794367995,87.16896794377995,87.17997316504608,87.17997316514608,87.18630950462052,87.18630950472053],[0.0,1e-10,1.0514988778009122,1.0514988779009122,2.0928262631270615,2.0928262632270616,2.9829708094840552,2.9829708095840552,3.842712042268943,3.842712042368943,4.595402485401407,4.595402485501407,5.280727634110851,5.280727634210851,5.942652791935729,5.942652792035729,6.5997423221906395,6.5997423222906395,7.242380551661733,7.242380551761733,7.871178881536018,7.871178881636018,8.481746339652258,8.481746339752258,9.06263304923558,9.062633049335581,9.615617631920923,9.615617632020923,10.159875852209883,10.159875852309883,10.69679725825475,10.69679725835475,11.197590412340077,11.197590412440077,11.691602571442228,11.691602571542228,12.18000095600913,12.18000095610913,12.661173690184121,12.661173690284121,13.139845237684991,13.139845237784991,13.616738163550929,13.616738163650929,14.090018264220914,14.090018264320914,14.563076037186532,14.563076037286532,15.033243549995387,15.033243550095387,15.502410588134593,15.502410588234593,15.968242710708303,15.968242710808303,16.42568196244218,16.42568196254218,16.87823000468,16.878230004779997,17.322385176077983,17.32238517617798,17.758647713970962,17.75864771407096,18.19079718933316,18.19079718943316,18.622390845434445,18.622390845534444,19.04803723544393,19.048037235543926,19.45083945382976,19.45083945392976,19.852919107176405,19.852919107276403,20.254887596670866,20.254887596770864,20.64557295516873,20.64557295526873,21.03397945469684,21.03397945479684,21.42199688074231,21.421996880842308,21.800954452834844,21.800954452934842,22.169351458969977,22.169351459069976,22.536081007322363,22.53608100742236,22.896363052248123,22.89636305234812,23.255755786356417,23.255755786456415,23.614259209647244,23.614259209747242,23.971150757081414,23.971150757181412,24.325874609398014,24.325874609498012,24.67148302583559,24.67148302593559,25.01547956641651,25.015479566516508,25.358920287736517,25.358920287836515,25.701360534386872,25.70136053448687,26.043411707554583,26.04341170765458,26.383906586791735,26.383906586891733,26.722011443206945,26.722011443306943,27.05972722613951,27.05972722623951,27.393941347728312,27.39394134782831,27.72437589834288,27.72437589844288,28.054254629696533,28.05425462979653,28.38391103334582,28.38391103344582,28.712511380399366,28.712511380499365,29.041056145526824,29.041056145626822,29.364876446936492,29.36487644703649,29.677913854684387,29.677913854784386,29.989172640797356,29.989172640897355,30.296707437862185,30.296707437962183,30.603075014479092,30.60307501457909,30.907497223682793,30.90749722378279,31.209918483547195,31.209918483647193,31.51183950607677,31.51183950617677,31.80853582755374,31.80853582765374,32.10423167436106,32.10423167446106,32.39926053805528,32.39926053815528,32.69256636204066,32.69256636214066,32.98498287520857,32.984982875308575,33.2766768233373,33.2766768234373,33.55975557292182,33.559755573021825,33.83994406234958,33.83994406244958,34.11985464214688,34.119854642246885,34.39948731231373,34.39948731241373,34.67889765477621,34.67889765487621,34.95547331900802,34.95547331910802,35.2262684629263,35.2262684630263,35.49667453336194,35.49667453346194,35.765857801423564,35.765857801523566,36.032484300884974,36.032484300984976,36.29616495826353,36.29616495836353,36.559456542159445,36.55945654225945,36.82013577552905,36.820135775629055,37.08003686193339,37.08003686203339,37.338659564037606,37.33865956413761,37.596504119176544,37.596504119276545,37.8535705273502,37.8535705274502,38.10991437048467,38.10991437058467,38.366202631693035,38.36620263179304,38.61865574000109,38.61865574010109,38.86888557126548,38.86888557136548,39.11828167363849,39.118281673738494,39.367177538676685,39.36717753877669,39.61490618326695,39.614906183366955,39.862134590522395,39.8621345906224,40.10024756189881,40.10024756199881,40.337471222457765,40.33747122255777,40.573138589086156,40.57313858918616,40.80741640756226,40.80741640766226,41.03769232735976,41.03769232745976,41.255184404156196,41.2551844042562,41.47223182554389,41.472231825643895,41.68855668189241,41.68855668199241,41.90443688283219,41.90443688293219,42.118927535619676,42.11892753571968,42.3331958607028,42.3331958608028,42.54023853539402,42.54023853549402,42.74466885955892,42.74466885965892,42.9467091609019,42.9467091610019,43.148082479131766,43.14808247923177,43.34745484802234,43.34745484812234,43.545826742243264,43.545826742343266,43.74408747261201,43.74408747271201,43.94168121986765,43.94168121996765,44.13771867319272,44.137718673292724,44.33242216029161,44.33242216039161,44.52601400886865,44.52601400896865,44.71816072736732,44.71816072746732,44.906138801409114,44.906138801509115,45.091115451441965,45.09111545154197,45.27536953643562,45.27536953653562,45.45095284095899,45.45095284105899,45.62403495880824,45.62403495890824,45.795560782726916,45.79556078282692,45.965141239232395,45.9651412393324,46.130386305502725,46.13038630560273,46.29390833206421,46.293908332164214,46.45726361284743,46.45726361294743,46.61767305154779,46.61767305164779,46.77591479513058,46.775914795230584,46.93248908093062,46.932489081030624,47.088340801691466,47.08834080179147,47.24296972007831,47.24296972017831,47.39665374572158,47.39665374582158,47.54900380513866,47.54900380523866,47.70090920914701,47.70090920924701,47.850146680702956,47.85014668080296,47.9974387848457,47.9974387849457,48.14384157817098,48.14384157827098,48.28946622453097,48.28946622463097,48.43453505163005,48.43453505173005,48.57760292938983,48.577602929489835,48.719781496332146,48.71978149643215,48.859514458526434,48.859514458626435,48.998691601459804,48.998691601559806,49.13642361431479,49.136423614414795,49.27215467783048,49.27215467793048,49.40783015942008,49.40783015952008,49.54106003626165,49.54106003636165,49.67028801442462,49.67028801452462,49.79912691910495,49.79912691920495,49.9232413600675,49.9232413601675,50.04407646739064,50.04407646749064,50.164800410861595,50.1648004109616,50.28530202662819,50.28530202672819,50.40574806046869,50.40574806056869,50.525082455787356,50.52508245588736,50.64419452340166,50.64419452350166,50.761416805528846,50.76141680562885,50.87747186720811,50.87747186730811,50.99052550487843,50.99052550497843,51.10324565099219,51.103245651092195,51.215743469401595,51.2157434695016,51.326796157732616,51.32679615783262,51.43779326413754,51.43779326423754,51.54806780550328,51.54806780560328,51.65650814330799,51.65650814340799,51.76478173533443,51.76478173543443,51.871721361134675,51.87172136123468,51.978327495378366,51.97832749547837,52.08454455613941,52.084544556239415,52.189761142230815,52.189761142330816,52.29475540061785,52.294755400717854,52.39952733130052,52.39952733140052,52.501464583752515,52.50146458385252,52.601456468791305,52.60145646889131,52.70055904301263,52.700559043112634,52.79905021604694,52.799050216146945,52.89654091441162,52.89654091451162,52.99225299114135,52.99225299124135,53.08757599438845,53.08757599448845,53.27733269006517,53.277332690165174,53.37065474397297,53.37065474407297,53.463865634028586,53.46386563412859,53.55657628674938,53.556576286849385,53.64834204672661,53.64834204682661,53.73749545617754,53.73749545627754,53.8264821198502,53.8264821199502,53.91502412811412,53.91502412821412,54.00289915326494,54.00289915336494,54.09055185071139,54.090551850811394,54.17737081926647,54.17737081936647,54.264134205895466,54.26413420599547,54.35084201059836,54.350842010698365,54.437049577966434,54.437049578066436,54.52231225259095,54.52231225269095,54.60412884779779,54.60412884789779,54.68527845989153,54.68527845999153,54.71729364932029,54.71729364942029,54.7397487474613,54.7397487475613,54.759535913149904,54.759535913249906],[0.0,1e-10,1.9867203662181947,1.9867203663181947,3.3565925166717987,3.3565925167717987,4.608075164550292,4.608075164650292,5.848774918767015,5.848774918867015,6.989705115649314,6.989705115749314,8.108513705947155,8.108513706047155,9.179966495214952,9.179966495314952,10.2014511329264,10.2014511330264,11.14178615854411,11.14178615864411,12.080509308305162,12.080509308405162,13.003169281425743,13.003169281525743,13.92049338964153,13.92049338974153,14.82859089812611,14.82859089822611,15.72657249606202,15.72657249616202,16.618273336349578,16.618273336449576,17.500914322684206,17.500914322784205,18.38238808857091,18.382388088670908,19.249299389821616,19.249299389921614,20.024722840725545,20.024722840825543,20.78902990641115,20.78902990651115,21.54005289176087,21.540052891860867,22.24788872053741,22.24788872063741,22.940495101564853,22.94049510166485,23.62726538035268,23.627265380452677,24.30319718355264,24.30319718365264,24.96578932449062,24.965789324590617,25.614374820053513,25.61437482015351,26.217383136221297,26.217383136321295,26.806773880496635,26.806773880596634,27.38215797939689,27.38215797949689,27.9472594219702,27.9472594220702,28.506358016525617,28.506358016625615,29.052172530745143,29.05217253084514,29.597875881112483,29.59787588121248,30.14168944599271,30.14168944609271,30.668550523414996,30.668550523514995,31.188074786593194,31.188074786693193,31.704986699245087,31.704986699345085,32.21956417100113,32.21956417110113,32.72597109962171,32.72597109972171,33.22882078497243,33.22882078507243,33.72772415357064,33.72772415367064,34.223014696972896,34.2230146970729,34.71541498021839,34.71541498031839,35.20553640449413,35.205536404594135,35.6775937027901,35.6775937028901,36.1494842553078,36.1494842554078,36.61509405017714,36.61509405027714,37.07703543792444,37.07703543802444,37.532029084910285,37.53202908501029,37.985744347596025,37.98574434769603,38.43751424286856,38.43751424296856,38.88467083827549,38.88467083837549,39.327214133816824,39.327214133916826,39.76892370046678,39.76892370056678,40.649174663979466,40.64917466407947,41.08343625253315,41.08343625263315,41.516586202564994,41.516586202664996,41.948457768296734,41.948457768396736,42.37727232809344,42.37727232819344,42.7990835652026,42.7990835653026,43.218226869859365,43.218226869959366,43.629977778345946,43.62997777844595,44.027221804122625,44.02722180422263,44.42263162633827,44.422631626438275,44.81431745950579,44.81431745960579,45.203279778294814,45.203279778394815,45.58707297795732,45.58707297805732,45.96997686680236,45.969976866902364,46.352714009869125,46.35271400996913,46.733394621670506,46.73339462177051,47.11346383228487,47.11346383238487,47.49069836466857,47.49069836476857,47.86782173320009,47.86782173330009,48.240720875348636,48.24072087544864,48.61217488741881,48.61217488751881,48.98246167904106,48.98246167914106,49.351747995993655,49.35174799609366,49.720645239463614,49.720645239563616,50.08481801921578,50.08481801931578,50.44810148815049,50.448101488250494,50.809161680041534,50.809161680141536,51.16455251547123,51.16455251557123,51.51955427741829,51.51955427751829,51.87127670572594,51.87127670582594,52.21916398113327,52.21916398123327,52.561604227783626,52.56160422788363,52.90332190939479,52.90332190949479,53.2440946982624,53.2440946983624,53.580476514968765,53.58047651506877,53.909632681283234,53.909632681383236,54.2374548813715,54.2374548814715,54.56488800797712,54.56488800807712,54.89048693102172,54.89048693112172,55.540962212071726,55.54096221217173,55.85516684026755,55.85516684036755,56.166314462528334,56.166314462628335,56.47562788122809,56.475627881328094,56.77816030494468,56.77816030504468,57.0798034178438,57.0798034179438,57.37027456359851,57.37027456369851,57.65602124563543,57.65602124573543,57.939099995219955,57.93909999531996,58.22156734361747,58.221567343717474,58.50386794623672,58.50386794633672,58.7858906392255,58.7858906393255,59.05351761335656,59.05351761345656,59.32053318630061,59.32053318640061,59.58610362916628,59.58610362926628,59.85156290817977,59.851562908279774,60.11096375724927,60.110963757349275,60.366862944975004,60.366862945075006,60.61725952201767,60.61725952211767,61.11649638217243,61.11649638227243,61.36255756897995,61.362557569079954,61.606339896817715,61.60633989691772,61.849733151172835,61.84973315127284,62.09162569352348,62.091625693623484,62.32923842756508,62.32923842766508,62.56307159063245,62.56307159073245,62.79618218866062,62.796182188760625,63.0246239048971,63.0246239049971,63.249897451346364,63.249897451446365,63.47444843275643,63.474448432856434,63.697887775644666,63.69788777574467,63.920382225789346,63.92038222588935,64.14148712778173,64.14148712788173,64.36059108043483,64.36059108053483,64.57863897649219,64.57863897659219,64.79474150513633,64.79474150523633,65.01045496029784,65.01045496039784,65.440158830912,65.440158831012,65.65275969821238,65.65275969831238,65.86408218121264,65.86408218131264,66.07334813294752,66.07334813304752,66.28228059312585,66.28228059322585,66.48987908707798,66.48987908717798,66.69653268828655,66.69653268838655,66.90224139675156,66.90224139685157,67.1078945232905,67.1078945233905,67.31332532212505,67.31332532222505,67.51775564628996,67.51775564638996,67.71851756333282,67.71851756343283,67.91883482496695,67.91883482506695,68.11259341932228,68.11259341942228,68.30385082700347,68.30385082710347,68.49249588415837,68.49249588425837,68.67908441004788,68.67908441014788,68.86367198659809,68.8636719866981,69.04737025233082,69.04737025243082,69.22767802057199,69.22767802067199,69.40692973221739,69.4069297323174,69.58484747763661,69.58484747773662,69.76126451105135,69.76126451115135,69.9363475782399,69.9363475783399,70.10865154912386,70.10865154922386,70.28078877422955,70.28078877432955,70.45170319696122,70.45170319706122,70.62100574383624,70.62100574393624,70.78975247145034,70.78975247155034,70.95838803521227,70.95838803531227,71.12574521467407,71.12574521477407,71.29143493635314,71.29143493645314,71.45684674840174,71.45684674850175,71.62186948696771,71.62186948706771,71.78611407856839,71.78611407866839,71.94463373178164,71.94463373188164,72.09848450320318,72.09848450330318,72.25000083372889,72.25000083382889,72.40101692691977,72.40101692701977,72.55147720084973,72.55147720094973,72.85106378248346,72.85106378258347,72.9997454347785,72.9997454348785,73.14742661240389,73.14742661250389,73.29477429847272,73.29477429857272,73.44023219905444,73.44023219915444,73.58363356837077,73.58363356847077,73.72425584138253,73.72425584148253,73.86482253246818,73.86482253256818,74.00533364162774,74.00533364172774,74.14323240026101,74.14323240036101,74.2802974300029,74.2802974301029,74.41719571396652,74.41719571406652,74.55103699199509,74.55103699209509,74.81744116375214,74.81744116385214,74.94955940207187,74.94955940217187,75.08145531268724,75.08145531278724,75.21296214981997,75.21296214991997,75.34107848946111,75.34107848956111,75.46535967620193,75.46535967630193,75.58908504368183,75.58908504378184,75.711754354566,75.711754354666,75.83264504381523,75.83264504391524,75.95270200417309,75.95270200427309,76.07236989104831,76.07236989114831,76.19048148399295,76.19048148409296,76.30720352878532,76.30720352888532,76.42348091816895,76.42348091826895,76.53914690636557,76.53914690646558,76.65447940300565,76.65447940310565,76.76870026112388,76.76870026122388,76.88192064457247,76.88192064467248,76.99480753646452,76.99480753656452,77.1075276825783,77.1075276826783,77.21913619017023,77.21913619027023,77.33068911583607,77.33068911593607,77.44079691142353,77.44079691152353,77.55057121545444,77.55057121555444,77.65995644600271,77.65995644610271,77.7691749307727,77.76917493087271,77.87822666976443,77.87822666986443,77.98694491719961,77.98694491729961,78.09538525500432,78.09538525510432,78.20054625916963,78.20054625926963,78.30187211043462,78.30187211053462,78.40314237977351,78.40314237987351,78.50352333829494,78.50352333839494,78.60318173177718,78.60318173187719,78.70261779755506,78.70261779765507,78.80066431518064,78.80066431528064,78.8982661773975,78.8982661774975,78.99447849146206,78.99447849156206,79.08924567544824,79.08924567554824,79.18395727750833,79.18395727760833,79.27855771571623,79.27855771581623,79.37271349851541,79.37271349861541,79.46675811746239,79.46675811756239,79.55957993403537,79.55957993413537,79.65229058675617,79.65229058685617,79.74388960095511,79.74388960105512,79.83487721396708,79.83487721406708,79.9254201715703,79.9254201716703,80.01529614606041,80.01529614616041,80.19454785770583,80.19454785780583,80.28381243100894,80.28381243110894,80.37263234890331,80.37263234900331,80.4613966848716,80.4613966849716,80.54910496424415,80.54910496434415,80.6354236954644,80.6354236955644,80.72152009898029,80.7215200990803,80.80689393745699,80.80689393755699,80.88932193385084,80.88932193395084,80.97019363631412,80.97019363641412,81.0463964569857,81.0463964570857,81.11565153689584,81.11565153699584,81.17995982538382,81.17995982548382,81.2297612311619,81.2297612312619,81.27917356345733,81.27917356355734,81.32752983915702,81.32752983925702,81.37549704137408,81.37549704147408,81.40890177895513,81.40890177905513,81.43797112630104,81.43797112640104,81.45859202088101,81.45859202098102,81.47899058775664,81.47899058785664,81.49722145951468,81.49722145961468,81.5050029291675,81.5050029292675,81.51150601452022,81.51150601462022,81.51723095290765,81.51723095300765],[0.0,1e-10,0.6189047470299798,0.6189047471299798,1.1952893205998847,1.1952893206998847,1.730209777305455,1.730209777405455,2.2332817903605378,2.2332817904605378,2.7346863456328725,2.7346863457328725,3.2290875782176656,3.2290875783176656,3.7190422567151304,3.7190422568151305,4.162975100408749,4.162975100508749,4.6000713671931015,4.6000713672931015,5.0281633619506145,5.0281633620506145,5.445750372676814,5.445750372776814,5.8526100716673355,5.8526100717673355,6.245296379504499,6.245296379604499,6.637871523489478,6.637871523589478,7.024888474865297,7.024888474965297,7.410515878088827,7.410515878188827,7.786138534615867,7.786138534715867,8.152979246820436,8.152979246920436,8.511427088185172,8.511427088285172,8.861815550266627,8.861815550366627,9.209591661821776,9.209591661921776,9.548585829054451,9.548585829154451,9.886190448134837,9.886190448234837,10.222961338323849,10.222961338423849,10.557286623764831,10.557286623864831,10.882941128735522,10.882941128835522,11.206594684366916,11.206594684466916,11.526190759393623,11.526190759493623,11.845286597085506,11.845286597185506,12.164160107073023,12.164160107173023,12.477419842525286,12.477419842625286,13.102327437573159,13.102327437673159,13.413197150203485,13.413197150303485,13.722732896607612,13.722732896707612,14.026154631141663,14.026154631241663,14.328909382562616,14.328909382662616,14.625272212483033,14.625272212583033,14.917077324463941,14.917077324563941,15.208437781036114,15.208437781136114,15.499242418347372,15.499242418447372,15.778986252366401,15.778986252466401,16.058563340607154,16.058563340707153,16.335583660247696,16.335583660347694,16.612548397962144,16.612548398062142,16.881342592541127,16.881342592641126,17.14941422208092,17.14941422218092,17.416151885394516,17.416151885494514,17.682333729447194,17.682333729547192,17.947014861495397,17.947014861595395,18.210917846578322,18.21091784667832,18.467484017417153,18.46748401751715,18.714656842746503,18.7146568428465,18.95932848140173,18.95932848150173,19.20388895620478,19.203888956304777,19.448282685229547,19.448282685329545,19.692620832328227,19.692620832428226,19.93673665172254,19.93673665182254,20.177461973625263,20.17746197372526,20.41651983774524,20.41651983784524,20.655410956086943,20.65541095618694,20.89235670701544,20.89235670711544,21.128968966387387,21.128968966487385,21.36369144027222,21.363691440372218,21.595801563630744,21.595801563730742,21.826577720763073,21.82657772086307,22.055352928556104,22.055352928656102,22.28401697249695,22.284016972596948,22.740622495339455,22.740622495439453,22.96823048268456,22.96823048278456,23.193226119503365,23.193226119603363,23.417221281652516,23.417221281752514,23.634101957261944,23.634101957361942,23.84903726545817,23.849037265558167,24.062027206241183,24.06202720634118,24.273905508502367,24.273905508602365,24.485561483059186,24.485561483159184,24.696606056428994,24.696606056528992,24.906983646685706,24.906983646785704,25.1168054176815,25.1168054177815,25.324904148968454,25.324904149068452,25.53222473329013,25.532224733390127,25.739434153759618,25.739434153859616,25.946198918820375,25.946198918920373,26.150740406837468,26.150740406937466,26.353336527441353,26.35333652754135,26.5555435745626,26.555543574662597,26.757194802422926,26.757194802522925,26.958401374874523,26.95840137497452,27.159552365400028,27.159552365500026,27.358813570438418,27.358813570538416,27.558019193550717,27.558019193650715,27.757058070884742,27.75705807098474,27.954262744657743,27.95426274475774,28.150911599169827,28.150911599269826,28.34578183204698,28.34578183214698,28.539206934845755,28.539206934945753,28.732520873792343,28.73252087389234,28.924834338069285,28.924834338169283,29.115035689154745,29.115035689254743,29.30445889327492,29.304458893374917,29.49332627813418,29.49332627823418,29.68213808106735,29.68213808116735,29.869782663552595,29.869782663652593,30.056537935220376,30.056537935320375,30.24262622377506,30.242626223875057,30.4263244895078,30.426324489607797,30.608522043236068,30.608522043336066,30.789997031925147,30.789997032025145,30.971027365205494,30.971027365305492,31.15072373225964,31.150723732359637,31.32980869812678,31.329808698226778,31.506336895393705,31.506336895493703,31.682198109547528,31.682198109647526,31.85783699599699,31.85783699609699,32.03258657162898,32.032586571728984,32.205891017182594,32.205891017282596,32.37875080732748,32.37875080742748,32.55155501554626,32.551555015646265,32.724136896060685,32.72413689616069,32.894551081457536,32.89455108155754,33.40462641720016,33.404626417300165,33.57370663637081,33.57370663647081,33.74273127361537,33.74273127371537,33.91153358315557,33.91153358325557,34.07916867224783,34.07916867234783,34.24658143363573,34.246581433735734,34.413605121540996,34.413605121641,34.57990624440707,34.57990624450707,34.746151785347045,34.74615178544705,35.07847612144873,35.07847612154873,35.24372118771906,35.24372118781906,35.40818810702411,35.40818810712411,35.57221037092042,35.572210371020425,35.73601030711237,35.736010307212375,35.89942116982168,35.89942116992168,36.0627764506049,36.0627764507049,36.22440869167927,36.224408691779274,36.385485113492734,36.385485113592736,36.54639478952792,36.546394789627925,36.70708213785874,36.70708213795874,36.86765832233738,36.86765832243738,37.02784543333337,37.02784543343337,37.187976962403276,37.18797696250328,37.34783058184272,37.34783058194272,37.50729512779952,37.507295127899525,37.66642618219978,37.66642618229978,37.82544607274785,37.82544607284785,37.983632234404546,37.98363223450455,38.14115141294814,38.14115141304814,38.2982815180091,38.2982815181091,38.455300459217874,38.455300459317876,38.611985908870096,38.6119859089701,38.76833786696577,38.768337867065775,38.92463424313535,38.92463424323535,39.0804859638962,39.0804859639962,39.235281628061315,39.23528162816132,39.388020760961034,39.388020761061036,39.54059314808248,39.54059314818248,39.69299878942565,39.69299878952565,39.844793029581815,39.84479302968182,39.9964205239597,39.9964205240597,40.147547781002764,40.147547781102766,40.298341546489276,40.29834154658928,40.44874623849315,40.44874623859315,40.59803929197519,40.59803929207519,40.744108593743924,40.744108593843926,40.889010675064725,40.88901067516473,41.1783701822976,41.1783701823976,41.322549698579216,41.32254969867922,41.610241748029345,41.61024174812935,41.89721123244028,41.89721123254028,42.04055701983052,42.040557019930525,42.1829579144772,42.1829579145772,42.32496973564124,42.32496973574124,42.46648131947046,42.46648131957046,42.60743708403876,42.60743708413876,42.748059357050515,42.74805935715052,42.88768115539261,42.887681155492615,43.02513525861714,43.02513525871714,43.162533779915584,43.162533780015586,43.299654391583566,43.29965439168357,43.43566336472971,43.435663364829715,43.5713944282454,43.5713944283454,43.70645850864799,43.70645850874799,43.84135584327231,43.84135584337231,43.97591968634008,43.97591968644008,44.11003887399911,44.11003887409911,44.24399131587987,44.24399131597987,44.376498627682246,44.37649862778225,44.64145766936091,44.64145766946091,44.77346474382846,44.773464743928464,44.90541623636992,44.905416236469925,45.03703423735483,45.03703423745483,45.167929673300556,45.16792967340056,45.29854719961582,45.29854719971582,45.55972667032025,45.559726670420254,45.69023303278333,45.690233032883334,45.820072412133314,45.820072412233316,46.07969558890718,46.07969558900718,46.20892356707015,46.20892356717015,46.33715107056348,46.33715107066348,46.4647115909437,46.4647115910437,46.71966588592588,46.71966588602588,46.84683733282346,46.846837332923464,46.97350854238622,46.97350854248622,47.22651746995519,47.22651747005519,47.35235495062658,47.35235495072658,47.47774777588923,47.47774777598923,47.602973855373605,47.60297385547361,47.72803318907971,47.72803318917971,47.852981358933626,47.85298135903363,47.97653998063526,47.97653998073526,48.09982069270643,48.09982069280643,48.22304582285151,48.22304582295151,48.34615978914441,48.34615978924441,48.46910700965903,48.46910700975903,48.59116491935618,48.59116491945618,48.71222235438369,48.71222235448369,48.83316862555902,48.83316862565902,48.95405931480825,48.95405931490825,49.07422743901829,49.07422743911829,49.1939509078196,49.1939509079196,49.31289622965563,49.31289622975563,49.43167480571338,49.43167480581338,49.550286635992855,49.550286636092856,49.66873172049406,49.66873172059406,49.905343979866004,49.905343979966005,50.02328882703238,50.02328882713238,50.140177617603015,50.14017761770302,50.373677289113836,50.37367728921384,50.49006584234965,50.49006584244965,50.60612090402891,50.606120904128915,50.721508982595076,50.72150898269508,50.836007750343775,50.83600775044378,50.9502841903881,50.950284190488105,51.06383806539325,51.06383806549325,51.17678053921138,51.17678053931138,51.28927835762078,51.28927835772078,51.401275938695356,51.40127593879536,51.51188397161764,51.511883971717644,51.62165827564856,51.62165827574856,51.73109908812292,51.73109908822292,51.84015082711464,51.84015082721464,51.94864674684545,51.94864674694545,52.056475683463155,52.05647568356316,52.16408229237649,52.16408229247649,52.27146657358547,52.27146657368547,52.37740572471606,52.377405724816064,52.483178130068374,52.483178130168376,52.58795006075105,52.58795006085105,52.69249966372935,52.69249966382935,52.79677135707719,52.79677135717719,52.90093188657285,52.90093188667285,53.108863872081535,53.10886387218154,53.31635120218148,53.31635120228148,53.41862194619002,53.418621946290024,53.520392452863746,53.52039245296375,53.621996213759196,53.6219962138592,53.92669633259335,53.92669633269335,54.02791102000616,54.02791102010616,54.12884779778851,54.12884779788851,54.22967341171867,54.22967341181867,54.43110231187463,54.431102311974634,54.63180864699141,54.63180864709141,54.73168936817801,54.73168936827801,54.831458925512436,54.83145892561244,54.9310061551425,54.9310061552425,55.03038663899428,55.03038663909428,55.12948921321561,55.12948921331561,55.32730528817561,55.32730528827561,55.425685297357745,55.42568529745775,55.5239541426877,55.5239541427877,55.62200066031328,55.622000660413285,55.719324612899676,55.71932461299968,55.816370655855614,55.816370655955616,55.91319437110718,55.91319437120718,56.10673063775813,56.106730637858135,56.20310969760097,56.203109697700974,56.29932201166554,56.29932201176554,56.39525641609964,56.39525641619964,56.490301509716275,56.49030150981628,56.58517985755464,56.585179857654644,56.67994704154082,56.67994704164082,56.77465864360091,56.77465864370091,56.86914791795663,56.86914791805663,57.057792975111525,57.05779297521153,57.151893175984604,57.151893176084606,57.244770574483674,57.244770574583676,57.337536809130555,57.337536809230556,57.5225690410895,57.5225690411895,57.61477945647546,57.61477945657546,57.70687870800924,57.706878708109244,57.890465809889804,57.890465809989806,57.98128667712348,57.98128667722348,58.07199638050497,58.07199638060497,58.161816773069,58.161816773169,58.25135925600257,58.251359256102575,58.34040150160131,58.340401501701315,58.4285544363826,58.4285544364826,58.51659620731169,58.516596207411695,58.604360068610326,58.60436006871033,58.69184602027851,58.69184602037851,58.7779424237944,58.7779424238944,58.863816499605925,58.863816499705926,58.949523829639176,58.94952382973918,59.03517557774633,59.03517557784633,59.29135267510252,59.291352675202525,59.37600394854003,59.37600394864003,59.46054405812536,59.46054405822536,59.544973003858495,59.544973003958496,59.62929078573946,59.62929078583946,59.71355298569432,59.71355298579432,59.79753727601873,59.79753727611873,59.881299238638775,59.88129923873878,59.96500561933273,59.96500561943273,60.0485452542484,60.048545254348404,60.13102883256834,60.13102883266834,60.21306775547954,60.213067755579544,60.28515751362035,60.28515751372035,60.35596888746105,60.355968887561055,60.422055797583965,60.42205579768397,60.4853636114023,60.4853636115023,60.5482267698119,60.5482267699119,60.61103434629541,60.611034346395414,60.67373075892674,60.67373075902674,60.73598251614933,60.73598251624933,60.79578866862389,60.795788668723894,60.851815250124226,60.85181525022423,60.90017152582392,60.90017152592392,60.94502614017984,60.94502614027984,60.985045126965794,60.985045127065796,61.01533727668571,61.015337276785715,61.04440662403162,61.044406624131625,61.07275340633834,61.072753406438345,61.09693154418819,61.09693154428819,61.11994246159011,61.11994246169011,61.140174282687454,61.140174282787456,61.15823840866722,61.158238408767225,61.168409901141985,61.168409901241986,61.176358116573084,61.176358116673086,61.184195168152,61.184195168252,61.19197663780483,61.19197663790483,61.19664551959652,61.196645519696524,61.20025834479247,61.200258344892475],[0.0,1e-10,1.5924221825243754,1.5924221826243754,3.111087149125196,3.111087149225196,4.470398733621396,4.470398733721396,5.821984430390863,5.821984430490863,7.086862322457432,7.086862322557432,8.256139301646447,8.256139301746448,9.389454774654197,9.389454774754197,10.499648166407841,10.499648166507841,11.606506642595987,11.606506642695987,12.597587966735329,12.597587966835329,13.570827492599266,13.570827492699266,14.466029994230595,14.466029994330595,15.345947466186736,15.345947466286736,16.195294878792495,16.195294878892494,16.969829018878958,16.969829018978956,17.742528955404396,17.742528955504394,18.51289445103399,18.512894451133988,19.2633060351967,19.263306035296697,20.010382703793912,20.01038270389391,20.74623182332062,20.74623182342062,21.47557785749461,21.475577857594608,22.19475239919384,22.194752399293836,22.891527424678152,22.89152742477815,23.584800788818693,23.58480078891869,24.268958717080213,24.26895871718021,24.91520977174726,24.91520977184726,25.554068430244126,25.554068430344124,26.179198352996366,26.179198353096364,26.79337863630856,26.79337863640856,27.405947043764098,27.405947043864096,28.002007619170428,28.002007619270426,28.597567957241935,28.597567957341933,29.173563457329198,29.173563457429196,29.748947556229457,29.748947556329455,30.316049948142062,30.31604994824206,30.881373718419738,30.881373718519736,31.446252833288682,31.44625283338868,31.99701413893036,31.99701413903036,32.54627473256756,32.54627473266756,33.093145303382826,33.09314530348283,33.638014924858794,33.638014924958796,34.15381519898885,34.153815199088854,34.64249149318621,34.642491493286215,35.12916683804427,35.12916683814427,35.6127295950412,35.612729595141204,36.09523629544239,36.09523629554239,36.55767792052452,36.55767792062452,37.00055470762239,37.000554707722394,37.44054123456351,37.44054123466351,37.87591446163902,37.87591446173902,38.30789719122295,38.30789719132295,38.739546429250325,38.73954642935033,39.16763842400783,39.167638424107835,39.59523018143052,39.595230181530525,40.02209937381402,40.022099373914024,40.44318804588399,40.443188045983995,40.857106649488145,40.85710664958815,41.260798178691445,41.26079817879145,41.64742605658462,41.64742605668462,42.03394277062562,42.03394277072562,42.415957348653194,42.415957348753196,42.796693542380666,42.79669354248067,43.17609576988193,43.176095769981934,43.55405286730482,43.55405286740482,43.92961994190577,43.92961994200577,44.29990673352802,44.29990673362802,44.66958212396326,44.66958212406326,45.035311197645996,45.035311197746,45.397427446132774,45.397427446232776,45.75548621401487,45.755486214114875,46.10843144469654,46.108431444796544,46.45776385018225,46.457763850282255,46.7929784464407,46.7929784465407,47.127470477659955,47.12747047775996,47.461684599248755,47.46168459934876,47.79534290157664,47.79534290167664,48.12883445812624,48.128834458226244,48.45882435333208,48.458824353432085,48.788703084685736,48.78870308478574,49.1158583016609,49.1158583017609,49.44123489700113,49.44123489710113,49.76466612492816,49.764666125028164,50.08715246011163,50.087152460211634,50.40797133751235,50.40797133761235,50.72673368364769,50.72673368374769,51.03988225524777,51.03988225534777,51.35230826180866,51.35230826190866,51.66117702509968,51.661177025199684,51.964932251190284,51.964932251290286,52.265797217124124,52.265797217224126,52.56338284941856,52.56338284951856,52.860912899786896,52.8609128998869,53.15766480318996,53.15766480328996,53.45336064999728,53.45336065009728,53.74877858717414,53.74877858727414,54.04402977857272,54.04402977867272,54.33511232551444,54.33511232561444,54.62474974237777,54.624749742477775,54.90666127151437,54.906661271614375,55.1864051055334,55.186405105633405,55.46431473599141,55.46431473609141,55.7403345809623,55.7403345810623,56.014242312741715,56.014242312841716,56.28648258673837,56.286482586838375,56.55750005836102,56.557500058461024,56.82623867101391,56.82623867111391,57.09214260543614,57.09214260553614,57.357713048301804,57.357713048401806,57.62133812375427,57.62133812385427,57.881850611345605,57.88185061144561,58.141362624267295,58.1413626243673,58.40042998178024,58.400429981880244,58.65488403942759,58.654884039527595,58.908782277814026,58.90878227791403,59.16195795116127,59.16195795126127,59.414021985986686,59.41402198608669,59.664696472659806,59.66469647275981,59.91520421355465,59.915204213654654,60.165267299040764,60.165267299140766,60.410383593104726,60.41038359320473,60.653943593238125,60.65394359333813,60.89327936698856,60.89327936708856,61.131614666069346,61.13161466616935,61.36967205551967,61.369672055619674,61.60600640526116,61.606006405361164,61.841784935741735,61.84178493584174,62.0762850819222,62.0762850820222,62.306283092089245,62.30628309218925,62.536114356478016,62.53611435657802,62.757163676544316,62.75716367664432,62.972376894370996,62.972376894471,63.18486659781919,63.18486659791919,63.395577679632446,63.39557767973245,63.604843631367324,63.604843631467325,63.81322027228474,63.81322027238474,64.01831757956275,64.01831757966275,64.22019113512745,64.22019113522745,64.41989699557456,64.41989699567456,64.6195472740956,64.6195472741956,64.81891964298617,64.81891964308618,65.21416271942356,65.21416271952356,65.40864387881805,65.40864387891806,65.60167990813419,65.60167990823419,65.79443802781987,65.79443802791987,65.98636241861416,65.98636241871417,66.17773099014755,66.17773099024755,66.36748768582427,66.36748768592427,66.55635507068354,66.55635507078354,66.7426101050165,66.7426101051165,66.92803141045808,66.92803141055808,67.11300806049093,67.11300806059093,67.29765121896722,67.29765121906722,67.47879271609975,67.47879271619975,67.65837791930171,67.65837791940172,67.83790754057759,67.83790754067759,68.0152138848098,68.0152138849098,68.19201999170717,68.19201999180717,68.36749213237836,68.36749213247836,68.54207496223208,68.54207496233208,68.71649104630752,68.71649104640753,68.89062922075252,68.89062922085252,69.06093224229718,69.06093224239719,69.22990129761564,69.22990129771564,69.3976475505601,69.3976475506601,69.5643377469088,69.5643377470088,69.72685929880065,69.72685929890065,69.88693524594447,69.88693524604447,70.04462117026634,70.04462117036634,70.1983607778357,70.1983607779357,70.3519892215529,70.3519892216529,70.50472835445261,70.50472835455261,70.65663375846096,70.65663375856096,70.80692728661265,70.80692728671265,70.95666499550342,70.95666499560342,71.10584688513327,71.10584688523328,71.25219409653246,71.25219409663246,71.39831898022729,71.39831898032729,71.54327664347419,71.54327664357419,71.6880675609428,71.6880675610428,71.83224707722442,71.83224707732442,71.97414773453627,71.97414773463628,72.11593722799594,72.11593722809594,72.25767113952953,72.25767113962954,72.39779317520646,72.39779317530646,72.53735939162247,72.53735939172248,72.67603629722102,72.67603629732102,72.81215643421935,72.81215643431935,72.9448860737261,72.9448860738261,73.07756013130674,73.07756013140674,73.20806649376982,73.20806649386982,73.46857898136116,73.46857898146116,73.59797370530241,73.59797370540241,73.85648524355445,73.85648524365445,73.98432367356513,73.98432367366513,74.11171744816707,74.11171744826707,74.23727701920801,74.23727701930801,74.36189169750537,74.36189169760537,74.48456100838953,74.48456100848954,74.60667450001279,74.60667450011279,74.72739844348374,74.72739844358374,74.84723307613723,74.84723307623723,74.9665674714559,74.9665674715559,75.08473464632665,75.08473464642665,75.20240158386257,75.20240158396257,75.3199573575463,75.3199573576463,75.43656823848649,75.43656823858649,75.552178644757,75.55217864485701,75.66645508480134,75.66645508490134,75.7806203609935,75.7806203610935,75.89322934325507,75.89322934335507,76.00467110506874,76.00467110516874,76.11600170303022,76.11600170313022,76.2233304023131,76.2233304024131,76.33049235581771,76.33049235591771,76.43726523583967,76.43726523593968,76.54270414963544,76.54270414973544,76.75235917485296,76.75235917495296,76.85629737664425,76.85629737674425,76.96017999650945,76.96017999660945,77.1677229085355,77.1677229086355,77.27093854528759,77.2709385453876,77.36870715328273,77.36870715338273,77.46642017935176,77.46642017945176,77.5640220415686,77.56402204166861,77.66151273993329,77.66151274003329,77.75816970940657,77.75816970950657,77.8539373680624,77.8539373681624,77.94853780627031,77.94853780637031,78.04291591677385,78.04291591687385,78.1365158803121,78.1365158804121,78.22978235229381,78.22978235239381,78.32260416886679,78.32260416896679,78.41537040351366,78.41537040361366,78.50696941771263,78.50696941781263,78.59823494035504,78.59823494045504,78.68933371721917,78.68933371731917,78.78021016637894,78.78021016647894,78.96007327921136,78.96007327931136,79.04883761517965,79.04883761527965,79.13671264033047,79.13671264043047,79.22430975585083,79.22430975595083,79.31151779788856,79.31151779798856,79.39828118451754,79.39828118461755,79.48359944106815,79.48359944116815,79.56769489524474,79.56769489534474,79.64973381815595,79.64973381825595,79.73160599528887,79.73160599538888,79.81264444353043,79.81264444363043,79.89129286895005,79.89129286905005,79.96744010769554,79.96744010779554,80.04041917665381,80.04041917675382,80.09822437978907,80.09822437988907,80.14869276868025,80.14869276878025,80.19910557564533,80.19910557574534,80.24245947799679,80.24245947809679,80.32755540684302,80.32755540694302,80.36701857436806,80.36701857446806,80.40309124440151,80.40309124450151,80.43321664834316,80.43321664844316,80.46228599568907,80.46228599578907,80.49029928643924,80.49029928653924,80.51731210251975,80.51731210261975,80.54115674881305,80.54115674891305,80.55905412901454,80.55905412911454,80.56933678534149,80.5693367854415,80.5745614863941,80.5745614864941,80.57923036818579,80.57923036828579,80.58378808612531,80.58378808622531,80.58740091132125,80.58740091142126],[0.0,1e-10,1.6247708635096874,1.6247708636096874,2.87553094634899,2.87553094644899,4.051366592816814,4.051366592916814,5.123375201345527,5.123375201445527,6.1506403593705015,6.1506403594705015,7.111985353050836,7.111985353150836,8.054154582229568,8.054154582329568,8.983373222628959,8.983373222728959,9.82099284882939,9.82099284892939,10.635990631110538,10.635990631210538,11.447208842417458,11.447208842517458,12.220520180129906,12.220520180229906,12.98327095188495,12.98327095198495,13.738017926282803,13.738017926382803,14.485872741845297,14.485872741945297,15.223333737228662,15.223333737328662,15.958015636307447,15.958015636407447,16.68769516203799,16.687695162137988,17.403590370097813,17.40359037019781,18.116261826444322,18.11626182654432,18.814426400080926,18.814426400180924,19.51047886052605,19.510478860626048,20.200750800657644,20.200750800757643,20.890911576937057,20.890911577037055,21.53771845086502,21.53771845096502,22.167517255408956,22.167517255508955,22.78631083858675,22.78631083868675,23.388707753567527,23.388707753667525,23.98760300720453,23.98760300730453,24.576604677997228,24.576604678097226,25.139871917009515,25.139871917109513,25.701416116312963,25.70141611641296,26.25923632656827,26.25923632666827,26.808719247909842,26.80871924800984,27.357368440360037,27.357368440460036,27.89790267160086,27.89790267170086,28.43593571616756,28.435935716267558,28.949568295180047,28.949568295280045,29.452140070900306,29.452140071000304,29.9518215864638,29.9518215865638,30.44927982498363,30.44927982508363,30.946126662316455,30.946126662416454,31.440472312975157,31.440472313075155,31.93203886732928,31.932038867429277,32.41093274253451,32.410932742634515,32.8868807756569,32.8868807757569,33.34698795984317,33.34698795994317,33.79269942517172,33.79269942527172,34.23685459656971,34.23685459666971,34.68045394870678,34.68045394880678,35.12188560572627,35.12188560582627,35.56270586155876,35.56270586165876,36.00163633190414,36.00163633200414,36.439177254097224,36.439177254197226,36.865490627219806,36.86549062731981,37.29113701722928,37.291137017329284,37.70511120275953,37.705111202859534,38.11847398710277,38.11847398720277,38.524222047571456,38.52422204767146,38.923578186539615,38.92357818663962,39.32276757972949,39.322767579829495,39.714286667118735,39.71428666721874,40.1016371100511,40.1016371101511,40.872391679163336,40.87239167926334,41.25090459584714,41.25090459594714,41.62397048377397,41.62397048387397,41.996313806661604,41.996313806761606,42.36843480184488,42.36843480194488,42.738721593467126,42.73872159356713,43.0962245420883,43.0962245421883,43.449392100474334,43.449392100574336,43.79700146625121,43.79700146635121,44.13899705749283,44.13899705759283,44.480714739103995,44.480714739204,44.81965332441058,44.81965332451058,45.158258418160614,45.158258418260615,45.494862562571356,45.49486256267136,45.830243904608075,45.83024390470808,46.163068478044586,46.16306847814459,46.49294720939824,46.49294720949824,46.82082499141259,46.820824991512595,47.14297783503951,47.14297783513951,47.46424136784897,47.46424136794897,47.78311487783648,47.783114877936484,48.100821167376075,48.10082116747608,48.41802721958084,48.418027219680845,48.731342536959204,48.731342537059206,49.04343505196354,49.04343505206354,49.35469383807651,49.35469383817651,49.66495214951983,49.66495214961983,49.974154404367404,49.974154404467406,50.28268967610188,50.28268967620188,50.89648088593144,50.89648088603144,51.20151449632215,51.20151449642215,51.50449157544746,51.50449157554746,51.806357016050946,51.80635701615095,52.10733314583697,52.10733314593697,52.40258433723555,52.402584337335554,52.695834579294846,52.69583457939485,52.98519408652772,52.98519408662772,53.27444242990841,53.27444243000841,53.56074493120625,53.56074493130625,53.83954387248172,53.83954387258172,54.117675830644096,54.1176758307441,54.39063866967995,54.39063866977995,54.662378706341784,54.662378706441785,54.9296721889163,54.9296721890163,55.19457564866887,55.19457564876887,55.45581070129939,55.45581070139939,55.71437782147753,55.71437782157753,55.96833164179005,55.96833164189005,56.220618004319824,56.220618004419826,56.47212621988432,56.472126219984325,56.72318978004009,56.72318978014009,56.97358635708275,56.973586357182754,57.223705024494954,57.223705024594956,57.47337903649843,57.47337903659843,57.721552336497425,57.721552336597426,57.96928098108769,57.969280981187694,58.21550891367349,58.21550891377349,58.45884658610252,58.45884658620252,58.69962748993133,58.69962749003133,58.93785162515994,58.93785162525994,59.17207386170995,59.17207386180995,59.405962606703405,59.405962606803406,59.6395734420664,59.6395734421664,59.862568129545906,59.86256812964591,60.085006997764495,60.0850069978645,60.29999788788681,60.29999788798681,60.5138215575612,60.5138215576612,60.72703382604858,60.727033826148585,60.93991260297941,60.939912603079414,61.15073484864486,61.15073484874486,61.36105685697547,61.361056857075475,61.57115653760173,61.57115653770173,61.77764339303203,61.77764339313203,61.98007276785764,61.980072767957644,62.18077910297441,62.180779103074414,62.38065170919981,62.38065170929981,62.58007966001647,62.580079660116475,62.77856271808958,62.77856271818958,62.97598971956695,62.97598971966695,63.173249975266046,63.17324997536605,63.367397643104006,63.36739764320401,63.56137856516369,63.561378565263695,63.75352528366236,63.753525283762364,63.945005019047926,63.94500501914793,64.13476171472465,64.13476171482465,64.32368468151,64.32368468161,64.51255206636927,64.51255206646927,64.70125270545026,64.70125270555026,64.88978659875296,64.88978659885296,65.0781537462774,65.0781537463774,65.26535367335391,65.26535367345392,65.45155312576078,65.45155312586078,65.63558488305007,65.63558488315007,65.81900523915235,65.81900523925235,66.00225884947636,66.00225884957636,66.18462314898291,66.18462314908291,66.366709538859,66.366709538959,66.54690614324797,66.54690614334797,66.72565761755855,66.72565761765856,66.90351978105167,66.90351978115167,67.07977006868815,67.07977006878815,67.25590919247243,67.25590919257243,67.43188157047844,67.43188157057844,67.60668672803652,67.60668672813652,67.77999117359013,67.77999117369014,67.951628161361,67.951628161461,68.12093070823602,68.12093070833602,68.28867696118047,68.28867696128047,68.45570064908573,68.45570064918573,68.62033431416906,68.62033431426906,68.78341168532181,68.78341168542181,68.9463778926224,68.9463778927224,69.10801013369677,69.10801013379677,69.2685307362493,69.2685307363493,69.42832877376266,69.42832877386266,69.5876265739412,69.5876265740412,69.74586831752399,69.74586831762399,69.90272051295447,69.90272051305448,70.05901688912407,70.05901688922407,70.21175602202378,70.21175602212378,70.5167340504884,70.5167340505884,70.6688617822011,70.66886178230111,70.81959996576154,70.81959996586154,70.96961558428276,70.96961558438277,71.11940887509964,71.11940887519964,71.26736796235548,71.26736796245548,71.41382633760685,71.41382633770685,71.55867283700155,71.55867283710155,71.70340817254409,71.70340817264409,71.84575348526468,71.84575348536468,71.98765414257653,71.98765414267653,72.12916572640574,72.12916572650575,72.26951008978705,72.26951008988705,72.40713093878985,72.40713093888985,72.54402922275347,72.54402922285347,72.67959354049087,72.67959354059087,72.81504669437611,72.81504669447611,72.94955495551778,72.94955495561778,73.08334065162028,73.08334065172028,73.21334677674852,73.21334677684852,73.33612725148487,73.33612725158487,73.45824074310812,73.45824074320812,73.58029865280527,73.58029865290527,73.70185632516761,73.70185632526761,73.82213561322983,73.82213561332983,73.94230373743987,73.94230373753987,74.06174929661073,74.06174929671073,74.1810281100033,74.1810281101033,74.30008459569152,74.30008459579152,74.41814060671007,74.41814060681007,74.53602987195036,74.53602987205036,74.65364122756019,74.65364122766019,74.88614042440136,74.88614042450136,75.00041686444568,75.00041686454568,75.11463772256393,75.11463772266393,75.22719112289943,75.22719112299943,75.33863288471308,75.33863288481308,75.44996348267456,75.44996348277456,75.5609050071534,75.5609050072534,75.67051256540603,75.67051256550603,75.77784126468892,75.77784126478892,75.88505880011961,75.88505880021961,75.99160935243721,75.99160935253721,76.09810432282872,76.09810432292872,76.20287625351139,76.2028762536114,76.30698120108096,76.30698120118096,76.41097498479834,76.41097498489835,76.51469085888527,76.51469085898528,76.61779533178519,76.61779533188519,76.71951025653283,76.71951025663283,76.82089168972391,76.82089168982391,76.91910495312776,76.91910495322776,77.01715147075335,77.01715147085335,77.11441984141365,77.11441984151365,77.21063215547821,77.21063215557821,77.30434328286864,77.30434328296865,77.39755417292426,77.39755417302426,77.49009807986678,77.49009807996678,77.58219733140056,77.58219733150057,77.67390750945171,77.67390750955171,77.76539535979848,77.76539535989848,77.8559383174017,77.8559383175017,77.9439800883308,77.9439800884308,78.03191069540772,78.03191069550772,78.11967455670634,78.11967455680634,78.20593770600051,78.20593770610051,78.29197852759032,78.29197852769032,78.37763027569747,78.37763027579747,78.46317085995244,78.46317086005244,78.54843353457696,78.54843353467696,78.63286248031011,78.63286248041011,78.71668002485623,78.71668002495623,78.80038640555019,78.80038640565019,78.88392604046587,78.88392604056587,78.95651603594149,78.95651603604149,79.02788322904311,79.02788322914311,79.0868000707002,79.08680007080021,79.13515634639991,79.13515634649991,79.17656488133815,79.17656488143815,79.2126375513716,79.2126375514716,79.24865463947896,79.24865463957896,79.28050308312945,79.28050308322945,79.30957243047534,79.30957243057534,79.33547360803404,79.33547360813404,79.35609450261401,79.35609450271401,79.37632632371137,79.37632632381137,79.3946127773955,79.3946127774955,79.41284364915354,79.41284364925355,79.42807309690264,79.42807309700264,79.43585456655546,79.43585456665546,79.4415795049429,79.4415795050429,79.4462483867346,79.4462483868346],[0.0,1e-10,0.6001180560110185,0.6001180561110185,1.1974014337913654,1.1974014338913654,1.7685057243825681,1.7685057244825682,2.320545414324352,2.320545414424352,2.822561370783694,2.822561370883694,3.3146281624726397,3.3146281625726397,3.7701776287194035,3.7701776288194035,4.204883872681817,4.204883872781817,4.635921709522185,4.635921709622185,5.064180450057972,5.064180450157972,5.482823517379912,5.482823517479912,5.90102192929312,5.90102192939312,6.3184977761671375,6.3184977762671375,6.7323607978452,6.7323607979452,7.12321290212134,7.12321290222134,7.512508712466915,7.512508712566915,7.872234938131758,7.872234938231758,8.23018254216167,8.23018254226167,8.580015184982209,8.580015185082209,8.924567544824045,8.924567544924045,9.265951734878659,9.265951734978659,9.607058015302815,9.607058015402815,9.944829380161476,9.944829380261476,10.281822598054855,10.281822598154855,10.617982087056859,10.617982087156859,10.949583858119352,10.949583858219352,11.27268159448983,11.27268159458983,11.594167455003651,11.594167455103651,11.907093698899367,11.907093698999367,12.217129682638319,12.21712968273832,12.527110084451179,12.527110084551179,12.837034904337948,12.837034904437948,13.146737396520349,13.146737396620349,13.453382882767713,13.453382882867713,13.755192741445107,13.755192741545107,14.053612102630915,14.053612102730915,14.346139779651013,14.346139779751013,14.63727790851882,14.63727790861882,14.926026014564687,14.926026014664687,15.21105013156242,15.21105013166242,15.491127457137997,15.491127457237997,15.76581333588269,15.76581333598269,16.04033246884911,16.040332468949106,16.313072980180596,16.313072980280594,16.585535581881626,16.585535581981624,16.857497946247832,16.85749794634783,17.12857099979657,17.128570999896567,17.39725403052337,17.39725403062337,17.66282447338904,17.66282447348904,17.92694978617633,17.926949786276328,18.189907878515697,18.189907878615696,18.44697428668935,18.44697428678935,18.703373711749908,18.703373711849906,18.953659124940387,18.953659125040385,19.20261057190467,19.20261057200467,19.449561069529654,19.449561069629652,19.936236414387714,19.936236414487713,20.174794041172866,20.174794041272865,20.412351193288373,20.41235119338837,20.6497415996256,20.649741599725598,20.885964785514904,20.885964785614902,21.118797473912622,21.11879747401262,21.35051852378851,21.350518523888507,21.58173933632957,21.581739336429568,21.811292691087882,21.81129269118788,22.040401390437463,22.04040139053746,22.49784064217134,22.49784064227134,22.71922345379419,22.719223453894188,22.93893880763429,22.93893880773429,23.15843183377002,23.15843183387002,23.596695321002297,23.596695321102295,23.81502112669011,23.815021126790107,24.032957858895276,24.032957858995275,24.249393879095972,24.24939387919597,24.464773842700925,24.464773842800923,24.679264495488415,24.679264495588413,24.893477238645445,24.893477238745444,25.10435506623698,25.10435506633698,25.314121255306684,25.314121255406683,25.52360953474593,25.523609534845928,25.73231966721989,25.73231966731989,25.940140488876388,25.940140488976386,26.147183163567604,26.147183163667602,26.353836764776176,26.353836764876174,26.560379202132566,26.560379202232564,26.765921164819307,26.765921164919305,26.971351963653866,26.971351963753865,27.17622694322751,27.176226943327507,27.378767481905303,27.3787674820053,27.580807783248275,27.580807783348273,27.77956875095184,27.779568751051837,27.977996227098856,27.977996227198854,28.175478810502316,28.175478810602314,28.37168300960567,28.371683009705666,28.56722022559592,28.56722022569592,28.761645803064344,28.761645803164342,28.95596021668058,28.95596021678058,29.149774392961994,29.149774393061993,29.34336624153904,29.34336624163904,29.536735762411723,29.53673576251172,29.729493882097394,29.729493882197392,29.9213626909656,29.9213626910656,30.112453352868528,30.112453352968526,30.30204330276698,30.302043302866977,30.491410924961066,30.491410925061064,30.67866643396367,30.67866643406367,30.864476812887894,30.864476812987892,31.047396931655353,31.04739693175535,31.22681538907904,31.226815389179038,31.405678027241812,31.40567802734181,31.584151591921945,31.584151592021943,31.758678839849573,31.75867883994957,31.933039341998928,31.933039342098926,32.10645495140472,32.10645495150472,32.27953706925397,32.27953706935397,32.45189662206403,32.45189662216403,32.623422445982705,32.62342244608271,32.79433686871438,32.79433686881438,32.9649733818156,32.9649733819156,33.13416476483843,33.13416476493843,33.303189402082985,33.30318940218299,33.47165822006663,33.47165822016663,33.63984912841982,33.63984912851982,33.975786289717455,33.97578628981746,34.14325463303145,34.14325463313145,34.3089999366366,34.308999936736605,34.4725219631981,34.4725219632981,34.63582166205522,34.63582166215522,34.79667575616431,34.796675756264314,34.957085194864675,34.95708519496468,35.11488228303873,35.11488228313873,35.27245704350842,35.27245704360842,35.42986505819984,35.42986505829984,35.586772835556424,35.586772835656426,35.74306921172601,35.74306921182601,35.8986430228564,35.8986430229564,36.05405008820852,36.05405008830852,36.20890133429972,36.20890133439972,36.3632523430561,36.3632523431561,36.51693636869937,36.51693636879937,36.6702869027861,36.670286902886104,36.823470691094556,36.82347069119456,36.97609866014209,36.976098660242094,37.127726154519976,37.12772615461998,37.279186903119594,37.279186903219596,37.429702758975644,37.429702759075646,37.57999628712734,37.57999628722734,37.73023423335294,37.73023423345294,37.880083106095896,37.8800831061959,38.02943174150403,38.02943174160403,38.17872479498607,38.17872479508607,38.32618364490708,38.326183645007085,38.47314225749328,38.47314225759328,38.62004528815338,38.62004528825338,38.7668371549613,38.7668371550613,38.91290645673003,38.91290645683003,39.056974809159456,39.05697480925946,39.20082083388452,39.20082083398452,39.34383312971821,39.343833129818215,39.48628960629099,39.48628960639099,39.62841259130721,39.62841259140721,39.7700909209147,39.7700909210147,40.053391998203594,40.053391998303596,40.19423659891971,40.19423659901971,40.33424747074445,40.33424747084445,40.47364694138219,40.473646941482194,40.61243501083292,40.61243501093292,40.75105633450537,40.75105633460537,40.88884392928645,40.888843929386454,41.164363536922515,41.16436353702252,41.30092832932958,41.30092832942958,41.4371596301801,41.4371596302801,41.573168603326245,41.57316860342625,41.84507538576636,41.84507538586636,41.98075086735596,41.98075086745596,42.11503680079326,42.115036800893265,42.24910040652621,42.24910040662621,42.38294168455478,42.38294168465478,42.516727380657265,42.51672738075727,42.650124003277114,42.650124003377115,42.78302038856213,42.78302038866213,42.91580560999496,42.915805610094964,43.04759035675815,43.04759035685815,43.17704066262549,43.17704066272549,43.30615747693628,43.30615747703628,43.434829635838334,43.434829635938335,43.56333504896212,43.56333504906212,43.69134022475107,43.691340224851075,43.8189007451313,43.8189007452313,43.94623893780716,43.94623893790716,44.072743401591644,44.072743401691646,44.19863646418912,44.19863646428912,44.324251617156136,44.32425161725614,44.44931095086224,44.44931095096224,44.574259120716164,44.574259120816166,44.69837356167871,44.69837356177871,44.822210093010796,44.8222100931108,44.94560196893415,44.94560196903415,45.068604771374865,45.06860477147487,45.1914408280373,45.1914408281373,45.314110138921464,45.314110139021466,45.43644595824908,45.43644595834908,45.55855944987233,45.55855944997233,45.68011712223466,45.680117122334664,45.800396410296884,45.800396410396885,45.920064297172104,45.920064297272106,46.0392319467125,46.0392319468125,46.157232375804966,46.15723237590497,46.27512164104525,46.275121641145255,46.39251066895071,46.392510669050715,46.50984411493008,46.509844115030084,46.6262326681659,46.6262326682659,46.742065402140796,46.7420654022408,46.857786972263504,46.857786972363506,46.97345296046013,46.97345296056013,47.20450702722292,47.20450702732292,47.318839049193336,47.31883904929334,47.43289316153331,47.43289316163331,47.54650261846454,47.54650261856454,47.65977858383922,47.65977858393922,47.77283222150954,47.77283222160954,47.88471863873193,47.884718638831934,47.996493892102144,47.996493892202146,48.219822071138196,48.2198220712382,48.33087475946922,48.33087475956922,48.441538374317595,48.4415383744176,48.55192407953551,48.55192407963551,48.66192071127079,48.66192071137079,48.771806179153884,48.771806179253886,48.88124699162825,48.881246991728254,48.99035431254606,48.99035431264606,49.099406051537784,49.099406051637786,49.208068717046864,49.208068717146865,49.31650905485158,49.31650905495158,49.42450473724756,49.42450473734756,49.53238925579136,49.53238925589136,49.64005144663079,49.640051446730794,49.74765805554413,49.74765805564413,49.85493117290092,49.85493117300092,49.96164847099679,49.961648471096794,50.0674764582752,50.067476458375204,50.17319328170143,50.17319328180143,50.27879894127547,50.27879894137547,50.38418227314515,50.38418227324515,50.59461544532795,50.594615445427955,50.699609703714984,50.699609703814986,50.80427047054547,50.80427047064547,51.01331409457598,51.013314094675984,51.11741904214555,51.11741904224555,51.221412825862934,51.221412825962936,51.42934481137162,51.42934481147162,51.533060685458544,51.533060685558546,51.63672097761938,51.636720977719385,51.74004777822367,51.74004777832367,51.84320783304968,51.843207833149684,51.94575648668869,51.94575648678869,52.04797164877114,52.04797164887114,52.149853319297044,52.149853319397046,52.353561078422764,52.353561078522766,52.454998093539935,52.45499809363994,52.55621278095274,52.55621278105274,52.657260722587274,52.657260722687276,52.75808633651744,52.75808633661744,52.85846729503887,52.85846729513887,52.95845918007766,52.95845918017766,53.05817315548599,53.05817315558599,53.1573868935595,53.1573868936595,53.25604481237209,53.25604481247209,53.354369239628134,53.354369239728136,53.45258250303199,53.45258250313199,53.55023994717494,53.55023994727494,53.64784180939179,53.647841809491794,53.745110180052095,53.745110180152096,53.84193389530366,53.84193389540366,53.938535282850864,53.938535282950866,54.03469201498933,54.034692015089334,54.22661640578363,54.22661640588363,54.32171708132636,54.321717081426364,54.416762174943,54.416762175043004,54.511696104707454,54.511696104807456,54.60624096098927,54.60624096108927,54.70073023534499,54.70073023544499,54.794997181996344,54.794997182096346,54.88904180094334,54.88904180104334,54.982919674112054,54.982919674212056,55.07674196535467,55.07674196545467,55.17023076504075,55.17023076514075,55.26360840087464,55.26360840097464,55.356930454782436,55.35693045488244,55.449529943651044,55.449529943751045,55.54207385059356,55.54207385069356,55.63422868405343,55.634228684153435,55.72627235366112,55.726272353761125,55.90997061939387,55.90997061949387,56.00129172396237,56.00129172406237,56.09211259119605,56.09211259129605,56.18276671265145,56.18276671275145,56.27314292447639,56.27314292457639,56.363463554375244,56.363463554475246,56.45367302042191,56.45367302052191,56.633814042884794,56.633814042984795,56.72369001737491,56.723690017474915,56.81334366416066,56.813343664260664,56.90183009049849,56.901830090598494,56.99003860720586,56.99003860730586,57.078024796208865,57.07802479630887,57.16589982135969,57.16589982145969,57.2531634453235,57.2531634454235,57.34026032350904,57.340260323609044,57.5139538425453,57.5139538426453,57.60010582798728,57.60010582808728,57.686035485724894,57.686035485824895,57.771520488053774,57.771520488153776,57.94226816500718,57.94226816510718,58.0274752577056,58.027475257805605,58.11262676847793,58.11262676857793,58.19733362384154,58.19733362394154,58.28137349609204,58.28137349619204,58.365135458712075,58.36513545881208,58.447174381623284,58.447174381723286,58.529102140682305,58.52910214078231,58.60952918773685,58.60952918783685,58.68806644930428,58.68806644940428,58.7600450435929,58.760045043692905,58.831856892103254,58.831856892203255,58.90061173467856,58.900611734778565,58.9685328483625,58.9685328484625,59.03456417655932,59.03456417665932,59.09514847599917,59.09514847609917,59.15256460565179,59.15256460575179,59.201532282538494,59.201532282638496,59.24838784623371,59.24838784633371,59.28824008724139,59.28824008734139,59.326869525875054,59.326869525975056,59.364665235617345,59.36466523571735,59.39923719364632,59.39923719374632,59.43002958070107,59.43002958080107,59.45765379796859,59.45765379806859,59.48399963093601,59.48399963103601,59.50823335071195,59.50823335081195,59.53152217774433,59.53152217784433,59.55186516269386,59.55186516279386,59.56803950318651,59.56803950328651,59.58293545937906,59.58293545947906,59.59749792401506,59.59749792411506,59.611782479020604,59.611782479120606,59.639239950509854,59.639239950609856,59.64713258401486,59.647132584114864,59.65196821158483,59.65196821168483,59.656637093376524,59.656637093476526,59.660249918572475,59.66024991867248],[0.0,1e-10,1.1368727162776118,1.1368727163776118,2.1877046109654246,2.1877046110654246,3.1956828406366133,3.1956828407366134,4.070820266948875,4.070820267048875,4.937175748938663,4.937175749038663,5.801863773145704,5.801863773245704,6.638093851193844,6.638093851293844,7.450646028726963,7.450646028826963,8.237297028701395,8.237297028801395,9.021002186592973,9.021002186692973,9.800260790397221,9.800260790497221,10.536165491850022,10.536165491950022,11.26573385372838,11.26573385382838,11.98357442920141,11.98357442930141,12.69896939992641,12.69896940002641,13.393354402588784,13.393354402688784,14.050443932843693,14.050443932943693,14.690136320231932,14.690136320331932,15.326716119759041,15.326716119859041,15.95390257377667,15.95390257387667,16.570250552206435,16.570250552306433,17.172091647926294,17.172091648026292,17.75992609827107,17.759926098371068,18.345370525793903,18.3453705258939,18.913695720080526,18.913695720180524,19.478352507245106,19.478352507345104,20.030670106817347,20.030670106917345,20.581486994385113,20.58148699448511,21.12391101111305,21.12391101121305,21.663889423092957,21.663889423192956,22.19969919061599,22.19969919071599,22.721502312763945,22.721502312863944,23.236635603780904,23.236635603880902,23.75099074783258,23.75099074793258,24.256730693340064,24.256730693440062,24.751465417481405,24.751465417581404,25.241920333313693,25.24192033341369,25.73120802869806,25.731208028798058,26.219328503634504,26.219328503734502,26.70316917026189,26.70316917036189,27.184897723697798,27.184897723797796,27.665014401277052,27.66501440137705,28.143074547590913,28.14307454769091,28.61124111106047,28.611241111160467,29.07918534682566,29.07918534692566,29.536735762411723,29.53673576251172,29.99306337562377,29.993063375723768,30.44894633342708,30.44894633352708,30.90393998041293,30.903939980512927,31.34653885788035,31.34653885798035,31.788970989569496,31.788970989669494,32.22862402495406,32.22862402505406,32.666943094112426,32.66694309421243,33.098870241770264,33.098870241870266,33.53051947979764,33.53051947989764,33.96089033352491,33.96089033362491,34.38725928857358,34.38725928867358,34.81240544124824,34.81240544134824,35.23532831687923,35.235328316979235,35.651303451748774,35.651303451848776,36.06033084585687,36.06033084595687,36.46552308706464,36.46552308716464,36.867602740411286,36.86760274051129,37.26595840470979,37.265958404809794,37.65747749209903,37.65747749219903,38.04871866985781,38.048718669957815,38.4399042656905,38.4399042657905,38.82742145440115,38.82742145450115,39.21454956962915,39.21454956972915,39.59939882588739,39.59939882598739,39.98408133636737,39.98408133646737,40.36781895410378,40.367818954203784,40.75044493331836,40.750444933418365,41.13290416675467,41.13290416685467,41.50758193053816,41.50758193063816,41.87925827031269,41.87925827041269,42.24732178489128,42.24732178499128,42.613940169391476,42.61394016949148,42.976167581730444,42.976167581830445,43.33806150251286,43.33806150261286,43.69851029321689,43.69851029331689,44.05579091413371,44.05579091423371,44.411904314602594,44.411904314702596,44.7639046525407,44.763904652640704,45.11373729536125,45.11373729546125,45.46323644662523,45.46323644672523,45.80539878364513,45.80539878374513,46.14383713161689,46.14383713171689,46.47844032668833,46.47844032678833,46.807874402633246,46.80787440273325,47.136919405095526,47.13691940519553,47.46362996666196,47.463629966761964,47.78883981622392,47.78883981632392,48.11354942845105,48.11354942855105,48.43414597814741,48.434145978247415,48.754686945917676,48.75468694601768,49.07322696434864,49.073226964448644,49.389265796105484,49.389265796205486,49.704026243562225,49.70402624366223,50.32587683267506,50.32587683277506,50.63263348277461,50.63263348287461,50.935277070343375,50.93527707044338,51.23653110975985,51.236531109859854,51.537507239545874,51.537507239645876,51.83837220547971,51.83837220557971,52.139070425635275,52.13907042573528,52.438379097638546,52.43837909773855,52.73740986001136,52.73740986011136,53.03599596697544,53.03599596707544,53.33369276312206,53.33369276322206,53.62777673407272,53.62777673417272,53.91758089671433,53.91758089681433,54.20571760157319,54.20571760167319,54.49274266791022,54.49274266801022,54.77971215232116,54.77971215242116,55.06295764768396,55.06295764778396,55.33747678065038,55.33747678075038,55.61155125820806,55.61155125830806,55.885125498430924,55.885125498530925,56.15603180620138,56.156031806301385,56.42621554893266,56.42621554903266,56.69239739298534,56.69239739308534,56.95368802754196,56.95368802764196,57.21186607423744,57.21186607433744,57.4695994655242,57.4695994656242,57.72716611103268,57.72716611113268,57.98212040601485,57.98212040611485,58.234128858914175,58.23412885901418,58.48446985403075,58.48446985413075,58.73447735759077,58.73447735769077,58.98148343714185,58.98148343724185,59.228322770914644,59.228322771014646,59.47243859030896,59.47243859040896,59.71577626273799,59.71577626283799,59.95566785574934,59.95566785584934,60.194336646386674,60.194336646486676,60.43194938042827,60.43194938052827,60.66906187713504,60.669061877235045,60.906063209989625,60.90606321008963,61.14245314165721,61.14245314175721,61.37817609021169,61.37817609031169,61.60978597623539,61.609785976335395,61.841340280333,61.841340280433,62.070893635091316,62.07089363519132,62.29594485383621,62.29594485393621,62.52088490872892,62.52088490882892,62.744768907025886,62.74476890712589,62.968041504135854,62.968041504235856,63.18953547961088,63.189535479710884,63.40813919492915,63.40813919502915,63.62613150906041,63.62613150916041,63.84395707741339,63.843957077513394,64.05705818204859,64.0570581821486,64.26754693615749,64.26754693625749,64.47681288789236,64.47681288799237,64.68413347221404,64.68413347231404,64.88556237237,64.88556237247,65.08243355458646,65.08243355468646,65.27891566332026,65.27891566342026,65.47378589619741,65.47378589629741,65.66476539424816,65.66476539434817,65.85257672251169,65.85257672261169,66.03883175684463,66.03883175694463,66.22314142376439,66.22314142386439,66.40656177986666,66.40656177996667,66.58953748056022,66.58953748066023,66.77095688732321,66.77095688742321,66.94898579659461,66.94898579669461,67.30404314046775,67.30404314056776,67.48012668232595,67.48012668242595,67.65331996402738,67.65331996412738,67.82640208187662,67.82640208197662,67.99898396239105,67.99898396249105,68.17145467905328,68.17145467915329,68.34064606207612,68.34064606217612,68.50972628124677,68.50972628134677,68.67858417271306,68.67858417281306,68.84683066299233,68.84683066309233,69.01346527741495,69.01346527751495,69.17954407257666,69.17954407267666,69.34556728581227,69.34556728591227,69.51047886052605,69.51047886062605,69.67527927138765,69.67527927148765,69.83991293647097,69.83991293657097,70.00337938110637,70.00337938120637,70.16645675225912,70.16645675235912,70.32731084636822,70.32731084646822,70.48738679351203,70.48738679361203,70.646351102134,70.64635110223401,70.80509308305163,70.80509308315163,70.9633904085605,70.9633904086605,71.1209651690302,71.1209651691302,71.2777617825346,71.2777617826346,71.43177929973443,71.43177929983443,71.58324004833405,71.58324004843405,71.73414497767274,71.73414497777274,71.8826598841895,71.8826598842895,72.03039664374097,72.03039664384097,72.17791107558809,72.17791107568809,72.32392479543073,72.32392479553073,72.46888245867761,72.46888245877761,72.6132843026636,72.6132843027636,72.75674125390601,72.75674125400602,72.89942005818315,72.89942005828316,73.04065373238191,73.04065373248191,73.32167595070105,73.32167595080105,73.4610198394127,73.4610198395127,73.60014140041997,73.60014140051997,73.73870714216633,73.73870714226634,73.87688381043006,73.87688381053006,74.0129483655023,74.0129483656023,74.14884617479626,74.14884617489626,74.28218721549001,74.28218721559001,74.41386079840102,74.41386079850102,74.54458948856846,74.54458948866846,74.67526259680982,74.67526259690982,74.8057133773468,74.8057133774468,74.93544159284461,74.93544159294461,75.06511422641631,75.06511422651631,75.19273032872263,75.19273032882263,75.32006852139848,75.32006852149848,75.44679531288733,75.44679531298733,75.57135440925862,75.57135440935862,75.6958023417777,75.69580234187771,75.81986120081416,75.81986120091416,75.94269725747661,75.94269725757661,76.0651442406564,76.0651442407564,76.18709098650137,76.18709098660138,76.30898215042025,76.30898215052025,76.42992842159558,76.42992842169558,76.55081911084481,76.55081911094481,76.67148747238967,76.67148747248967,76.79021046652134,76.79021046662135,76.90865555102253,76.90865555112254,77.02704505359765,77.02704505369765,77.1444896634292,77.1444896635292,77.26148961785202,77.26148961795202,77.37843399034875,77.37843399044876,77.49421114239756,77.49421114249756,77.60782059932879,77.60782059942879,77.7209298189252,77.7209298190252,77.83392787466943,77.83392787476943,77.94281286788288,77.94281286798288,78.05130878761368,78.05130878771368,78.15958237964011,78.15958237974012,78.26746689818391,78.26746689828391,78.37429536013197,78.37429536023197,78.58711855513671,78.58711855523671,78.69283537856295,78.69283537866295,78.79788521887606,78.79788521897606,78.90171225681517,78.90171225691518,79.00287136230189,79.00287136240189,79.10314115697113,79.10314115707114,79.20213256734029,79.20213256744029,79.30056815844851,79.30056815854851,79.39883700377845,79.39883700387846,79.49527164554739,79.49527164564739,79.59137279575977,79.59137279585977,79.68669579900686,79.68669579910686,79.78096274565821,79.78096274575822,79.87461829112256,79.87461829122256,79.96760685347381,79.96760685357381,80.06042867004679,80.06042867014679,80.15269466735884,80.15269466745885,80.24379344422299,80.24379344432299,80.33389174641746,80.33389174651747,80.4230451558684,80.4230451559684,80.51097576294531,80.51097576304531,80.59662751105246,80.59662751115246,80.68055621945078,80.68055621955078,80.75831533405294,80.75831533415294,80.83051625604593,80.83051625614593,80.90043831906915,80.90043831916915,80.96813710504873,80.96813710514873,81.03372377783681,81.03372377793681,81.09080641593289,81.09080641603289,81.14522112157657,81.14522112167657,81.19357739727626,81.19357739737626,81.23409662139704,81.23409662149705,81.2727260600307,81.27272606013071,81.31091084325563,81.31091084335563,81.34781724218045,81.34781724228046,81.37688658952636,81.37688658962637,81.39750748410634,81.39750748420634,81.4177393052037,81.4177393053037,81.43597017696173,81.43597017706173,81.45320057405013,81.45320057415013,81.4653174339381,81.4653174340381,81.47432170596494,81.47432170606494,81.47887942390446,81.47887942400446,81.48332597799178,81.48332597809178,81.48727229474429,81.48727229484429,81.49088511994024,81.49088512004025],[0.0,1e-10,1.7000287914377155,1.7000287915377155,3.1319303714095463,3.1319303715095463,4.513697054046753,4.513697054146753,5.888571577848602,5.888571577948602,7.174348274125613,7.174348274225613,8.386812409887803,8.386812409987803,9.5072328760423,9.5072328761423,10.615036244974004,10.615036245074004,11.666868614331467,11.666868614431467,12.714198847675508,12.714198847775508,13.700055470762239,13.700055470862239,14.681409957835552,14.681409957935552,15.600790597316728,15.600790597416728,16.491490962934638,16.491490963034636,17.349842647567236,17.349842647667234,18.143997207564034,18.143997207664032,18.927869111233885,18.927869111333884,19.708517263190426,19.708517263290425,20.48521909839446,20.485219098494458,21.229627834539276,21.229627834639274,21.943577675185892,21.94357767528589,22.63696220317862,22.636962203278618,23.325010866266553,23.32501086636655,24.003777347697184,24.003777347797183,24.680320552084154,24.680320552184153,25.35258394816207,25.35258394826207,26.021845920231044,26.021845920331042,26.690996728447832,26.69099672854783,27.35814658732532,27.358146587425317,28.017792886180445,28.017792886280443,28.64975938584195,28.649759385941948,29.276445602524753,29.27644560262475,29.901631107203084,29.901631107303082,30.519757707267782,30.51975770736778,31.1125945309608,31.112594531060797,31.70237434871878,31.70237434881878,32.29104252795493,32.29104252805493,32.879321633708436,32.87932163380844,33.461986964926695,33.461986965026696,34.03781571923568,34.03781571933568,34.6114767784271,34.6114767785271,35.17496634514375,35.17496634524375,35.736177052890646,35.73617705299065,36.250810106572786,36.25081010667279,36.758940074902206,36.75894007500221,37.262345579513834,37.262345579613836,37.716727825312674,37.716727825412676,38.170554251850604,38.170554251950605,38.62332462179278,38.623324621892785,39.07464986165659,39.07464986175659,39.5259195195943,39.5259195196943,39.97624428478845,39.97624428488845,40.4232897163432,40.4232897164432,40.87005723826749,40.870057238367494,41.31115540373044,41.31115540383044,41.74764026932778,41.747640269427784,42.17873368809424,42.17873368819424,42.60977152493461,42.60977152503461,43.028359010330455,43.02835901043046,43.444445309052185,43.44444530915219,43.85369503086464,43.853695030964644,44.25877610822023,44.258776108320234,44.65846573874494,44.65846573884494,45.05509836333461,45.05509836343461,45.4475623434674,45.447562343567405,45.8366914080347,45.836691408134705,46.22443092444971,46.224430924549715,46.6116702035299,46.6116702036299,46.99807575371871,46.99807575381871,47.38381432079442,47.38381432089442,47.75832533879963,47.75832533889963,48.129834932795895,48.129834932895896,48.50012172441814,48.500121724518145,48.86862989440546,48.86862989450546,49.23608200779703,49.23608200789703,49.603089465779874,49.603089465879876,49.969207612945254,49.969207613045256,50.33193526261904,50.33193526271904,50.68199023314395,50.68199023324395,51.0304333278122,51.0304333279122,51.377208964697694,51.377208964797696,51.7147024199259,51.7147024200259,52.049861434258254,52.049861434358256,52.38074064028156,52.38074064038156,52.70889633192637,52.70889633202637,53.03516223808407,53.03516223818407,53.360927906906944,53.360927907006946,53.68619333839499,53.686193338494995,54.00990247595248,54.00990247605248,54.33238881113595,54.33238881123595,54.973470746676476,54.97347074677648,55.289509578433325,55.28950957853333,55.60110185610284,55.60110185620284,55.9117492410288,55.9117492411288,56.215615630971584,56.215615631071586,56.51603594149669,56.51603594159669,56.81167620637792,56.81167620647792,57.107038561628684,57.107038561728686,57.400455549466244,57.400455549566246,57.693316718042894,57.693316718142896,57.9824538975714,57.982453897671405,58.56061709277624,58.56061709287624,58.842973277321576,58.84297327742158,59.123884331788524,59.123884331888526,59.40423956699456,59.404239567094564,59.68159337819165,59.68159337829165,59.956779494271174,59.956779494371176,60.23018698871576,60.23018698881576,60.490866222085366,60.49086622218537,60.75076730848969,60.750767308589694,61.00877860940691,61.00877860950691,61.266345254915386,61.26634525501539,61.523467245015134,61.523467245115135,61.78042248933661,61.78042248943661,62.036099349357976,62.03609934945798,62.291665045527154,62.291665045627155,62.546897250139786,62.54689725023979,62.801240143934955,62.801240144034956,63.05447139920829,63.05447139930829,63.30736916292508,63.30736916302508,63.55832155922866,63.55832155932866,63.80816231701041,63.80816231711041,64.05661352663986,64.05661352673987,64.30406426159966,64.30406426169966,64.55012544840719,64.55012544850719,64.79563081595379,64.79563081605379,65.03785684986099,65.03785684996099,65.27958264643337,65.27958264653337,65.52030796833608,65.52030796843609,65.99903509776306,65.99903509786306,66.23648108602637,66.23648108612637,66.47270427191567,66.47270427201568,66.70726000002223,66.70726000012223,66.93781382945019,66.9378138295502,67.16725602035632,67.16725602045632,67.39480842577534,67.39480842587534,67.62063779148552,67.62063779158552,67.8397973260647,67.8397973261647,68.05595543663493,68.05595543673493,68.26522138836981,68.26522138846981,68.47420943047423,68.47420943057423,68.68308630872647,68.68308630882647,68.89185202312653,68.89185202322653,69.09945051707867,69.09945051717867,69.30671551947424,69.30671551957424,69.51309121105236,69.51309121115236,69.71791060869991,69.71791060879991,69.92195185938218,69.92195185948218,70.12521496309915,70.12521496319916,70.32258638265044,70.32258638275044,70.51979105642344,70.51979105652345,70.71477245315278,70.71477245325278,70.90658568009489,70.9065856801949,71.09762076007172,71.09762076017172,71.28520976063088,71.28520976073088,71.47202061422475,71.47202061432475,71.64777066452639,71.64777066462639,71.82329838712367,71.82329838722367,71.99832587238612,71.99832587248612,72.17263079260938,72.17263079270938,72.3466022212761,72.3466022213761,72.51707198859904,72.51707198869904,72.68704151858715,72.68704151868715,72.85534359079251,72.85534359089252,73.02297867988479,73.02297867998479,73.18983562201177,73.18983562211177,73.35463603287337,73.35463603297337,73.51276661260398,73.51276661270398,73.66967438996058,73.66967439006058,73.82597076613015,73.82597076623016,73.98148899533446,73.98148899543446,74.13689606068657,74.13689606078657,74.28846797313837,74.28846797323837,74.4384835916596,74.4384835917596,74.587387571659,74.587387571759,74.73512433121047,74.73512433131047,74.88230527150104,74.88230527160104,75.02631804200438,75.02631804210438,75.16560634878992,75.16560634888992,75.30105950267516,75.30105950277516,75.43612358307774,75.43612358317775,75.56996486110633,75.56996486120633,75.70369497528272,75.70369497538272,75.83503506663718,75.83503506673718,75.96631957606553,75.96631957616553,76.09443591570667,76.09443591580667,76.22210759993908,76.22210760003908,76.34955695646713,76.34955695656713,76.47650607566034,76.47650607576034,76.60323286714919,76.60323286724919,76.72834778278138,76.72834778288139,76.85268455144829,76.8526845515483,76.97696573818912,76.97696573828912,77.09963504907329,77.09963504917329,77.22135946721389,77.22135946731389,77.33897082282371,77.33897082292371,77.4563042688031,77.4563042689031,77.57241491240845,77.57241491250845,77.68774740904851,77.68774740914851,77.80285757798423,77.80285757808423,77.91668936261982,77.91668936271982,78.02990974606841,78.02990974616841,78.14268547410828,78.14268547420828,78.25129255769126,78.25129255779126,78.35851009312196,78.35851009322197,78.46500506351347,78.46500506361348,78.57116654234842,78.57116654244842,78.67660545614419,78.67660545624419,78.78093273141813,78.78093273151813,78.88392604046587,78.88392604056587,78.98519630980476,78.98519630990477,79.08541052254792,79.08541052264792,79.18417960521269,79.18417960531269,79.2821149589861,79.2821149590861,79.37960565735077,79.37960565745077,79.47648495452843,79.47648495462843,79.5705851554015,79.5705851555015,79.66273998886138,79.66273998896138,79.75172665253403,79.75172665263403,79.8406577342806,79.8406577343806,79.92881066906187,79.92881066916188,80.01635220265615,80.01635220275615,80.10344908084168,80.10344908094169,80.19037921324895,80.19037921334895,80.27630887098657,80.27630887108657,80.36168270946327,80.36168270956327,80.44666747445733,80.44666747455733,80.53154107559921,80.53154107569921,80.61635909481498,80.61635909491498,80.70012105743503,80.70012105753503,80.77954762981993,80.77954762991993,80.85814047331345,80.85814047341346,80.93167536153264,80.93167536163264,81.00387628352563,81.00387628362563,81.06662827808304,81.06662827818305,81.11253894903471,81.11253894913472,81.15794938265155,81.15794938275155,81.20035839225943,81.20035839235943,81.24271181994123,81.24271182004124,81.28300871635766,81.28300871645766,81.32224955617832,81.32224955627832,81.35709942383775,81.35709942393775,81.39139347223627,81.39139347233628,81.4222970231432,81.4222970232432,81.45136637048911,81.45136637058911,81.47776778538262,81.47776778548263,81.50166801360201,81.50166801370202,81.52284472744292,81.52284472754292,81.5434656220229,81.5434656221229,81.5639197708246,81.5639197709246,81.58426275577413,81.58426275587414,81.60249362753217,81.60249362763217,81.61372117660268,81.61372117670268,81.62472639796881,81.62472639806882,81.63400857962611,81.63400857972611,81.64234586853985,81.64234586863985,81.64984942856222,81.64984942866222,81.65651925969321,81.65651925979321,81.66152163304146,81.66152163314146,81.66574585942442,81.66574585952442],[0.0,1e-10,4.010235967509029,4.010235967609029,7.476991861694382,7.476991861794382,10.912066058007522,10.912066058107522,14.255707985899978,14.255707985999978,17.458449731150225,17.458449731250223,20.426024347106907,20.426024347206905,23.176218050119335,23.176218050219333,25.86894004155305,25.868940041653048,28.531369883266837,28.531369883366835,31.119764599426617,31.119764599526615,33.654078101499266,33.65407810159927,36.07372609004494,36.073726090144945,38.42901020817654,38.429010208276544,40.689026904987145,40.68902690508715,42.85360943469846,42.853609434798464,44.84922290909131,44.84922290919131,46.748401741715234,46.748401741815236,48.58477299785565,48.58477299795565,50.33260224573214,50.33260224583214,51.90451469752872,51.90451469762872,53.464032379806866,53.46403237990687,54.83362662063001,54.83362662073001,56.112677903849935,56.11267790394994,57.35471162429286,57.35471162439286,58.500088375262486,58.50008837536249,59.60216680580675,59.602166805906755,60.686625765779986,60.68662576587999,61.73117690281945,61.73117690291945,62.75249479475262,62.75249479485262,63.77353477705534,63.77353477715534,64.77734436226966,64.77734436236966,65.76514635276959,65.76514635286959,66.71604194434471,66.71604194444471,67.63653422234772,67.63653422244772,68.42790968603994,68.42790968613994,69.19532933958666,69.19532933968667,69.94179460699688,69.94179460709688,70.68670358047652,70.68670358057652,71.42827763839065,71.42827763849066,72.16623887110885,72.16623887120885,72.88552457666026,72.88552457676026,73.60425446295075,73.60425446305075,74.31175680017074,74.31175680027074,74.99352470561033,74.99352470571033,75.64972492504778,75.64972492514778,76.29636505319746,76.29636505329746,76.93122181301572,76.93122181311573,77.56252132956413,77.56252132966414,78.10083228376129,78.1008322838613,78.63742019824961,78.63742019834962,79.15188650615347,79.15188650625348,79.66240649730483,79.66240649740483,80.17114786682126,80.17114786692126,80.6592127598316,80.6592127599316,81.1469441612854,81.1469441613854,81.61961286076838,81.61961286086839,82.05770960222239,82.05770960232239,82.48307808260141,82.48307808270141,82.88065559993464,82.88065560003464,83.26361507070577,83.26361507080577,83.64012703805028,83.64012703815028,84.01480480183376,84.01480480193376,84.35429920640127,84.35429920650127,84.68006487522413,84.68006487532413,85.00316261159462,85.00316261169462,85.30675109190693,85.30675109200693,85.6081718771017,85.6081718772017,85.90281166731327,85.90281166741327,86.14453746388564,86.14453746398564,86.36002859134278,86.36002859144278,86.56912779729939,86.56912779739939,86.77722652858634,86.77722652868634,86.97420887465498,86.97420887475498,87.16630001122755,87.16630001132755,87.35027618659075,87.35027618669075,87.53008371749708,87.53008371759708,87.70700098824665,87.70700098834665,87.8581282452897,87.85812824538971,87.99358139917494,87.99358139927494,88.12853431572535,88.12853431582535,88.25737322040568,88.25737322050568,88.38221022640742,88.38221022650742,88.50171136750436,88.50171136760436,88.61843341229672,88.61843341239673,88.72565094772742,88.72565094782742,88.82920007603607,88.82920007613608,88.91162807242992,88.91162807252992,88.98960951473643,88.98960951483643,89.05030497802846,89.05030497812847,89.10071778499355,89.10071778509355,89.14307121267535,89.14307121277535,89.18064459471327,89.18064459481327,89.21443840577696,89.21443840587696,89.24350775312287,89.24350775322287,89.26757472712053,89.26757472722053,89.28563885310031,89.28563885320031,89.2989785153623,89.2989785154623,89.31209584991991,89.31209585001992,89.320044065351,89.320044065451,89.32504643869925,89.32504643879925],[0.0,1e-10,1.176280301876557,1.176280301976557,1.9607080248073252,1.9607080249073252,2.739355227424567,2.739355227524567,3.44029889736575,3.44029889746575,4.095776551764003,4.095776551864003,4.734023809073861,4.734023809173861,5.363600285913428,5.363600286013428,5.954047086784508,5.954047086884508,6.5417703732770995,6.5417703733770995,7.117821455290454,7.117821455390454,7.68414570023778,7.68414570033778,8.19238683241938,8.19238683251938,8.700072145340068,8.700072145440068,9.204700452325714,9.204700452425714,9.702214272771638,9.702214272871638,10.190056838077622,10.190056838177622,10.676732182935682,10.676732183035682,11.159350047189056,11.159350047289056,11.619234903670964,11.619234903770964,12.050828559772247,12.050828559872247,12.47892055452976,12.47892055462976,12.904900436095792,12.904900436195792,13.326656091278862,13.326656091378862,13.737128615465338,13.737128615565338,14.145489026460332,14.145489026560332,14.549514047220182,14.549514047320182,14.95320557642348,14.95320557652348,15.350894257608887,15.350894257708887,15.748193865311654,15.748193865411654,16.14454858027086,16.14454858037086,16.524395463180866,16.524395463280865,16.90118534015583,16.90118534025583,17.277697307500336,17.277697307600334,17.652208325505544,17.652208325605542,18.02382908335399,18.02382908345399,18.39411587497624,18.39411587507624,18.763958011189754,18.763958011289752,19.132021525768337,19.132021525868335,19.49385986462466,19.49385986472466,19.84819464345862,19.848194643558617,20.201751275327293,20.20175127542729,20.550972516960826,20.550972517060824,20.899415611629074,20.899415611729072,21.246969395479855,21.246969395579853,21.58940964213021,21.58940964223021,21.923790509497284,21.923790509597282,22.252112946920374,22.252112947020372,22.579601655452088,22.579601655552086,22.903866612270487,22.903866612370486,23.22179522951445,23.221795229614447,23.537945225123476,23.537945225223474,23.852427762949755,23.852427763049754,24.166354481515118,24.166354481615116,24.47878048807601,24.478780488176007,24.788205070627953,24.78820507072795,25.094350319540492,25.09435031964049,25.398772528744193,25.39877252884419,25.70241659098261,25.70241659108261,26.00506017855138,26.005060178651377,26.30598072641131,26.305980726511308,26.606456618862506,26.606456618962504,26.904042251156937,26.904042251256936,27.200682990707815,27.200682990807813,27.4939332327671,27.4939332328671,28.076932055541906,28.076932055641905,28.366235980848693,28.36623598094869,28.654872923042376,28.654872923142374,28.943009627901237,28.943009628001235,29.229645620755626,29.229645620855624,29.516003703979553,29.51600370407955,29.79913803549017,29.79913803559017,30.080882818848497,30.080882818948496,30.360793398645804,30.360793398745802,30.639592339921276,30.639592340021274,30.91305541629195,30.91305541639195,31.186351746884355,31.186351746984354,31.459592495550666,31.459592495650664,31.731276950286414,31.731276950386412,32.000293472569766,32.00029347266977,32.26880975751829,32.26880975761829,32.537103714762445,32.53710371486245,32.805342090080515,32.80534209018052,33.07313580998985,33.07313581008985,33.33992905522954,33.33992905532954,33.603387384903726,33.60338738500373,33.86440010982989,33.86440010992989,34.12424561430812,34.124245614408125,34.64304731244713,34.64304731254713,34.89861300861631,34.89861300871631,35.15373404937676,35.15373404947676,35.40852159858066,35.408521598680665,35.66197518155836,35.66197518165836,35.915095272979514,35.915095273079515,36.16688139817447,36.16688139827447,36.41505469817346,36.415054698273465,36.66295008854201,36.66295008864201,36.91078989698446,36.91078989708446,37.15718457534852,37.157184575448525,37.403023434451676,37.40302343455168,37.6484176381461,37.6484176382461,37.89308927680133,37.89308927690133,38.13770533353046,38.137705333630464,38.378652983137556,38.37865298323756,38.616988282218344,38.616988282318346,38.852544484994546,38.85254448509455,39.08715579502719,39.087155795127195,39.32110012194675,39.32110012204675,39.55465537538365,39.554655375483655,39.78721015415091,39.787210154250914,40.018542130544155,40.01854213064416,40.249707361159125,40.24970736125913,40.47681511116941,40.47681511126941,40.703589369623145,40.70358936972315,40.928195932959305,40.92819593305931,41.14807803257768,41.14807803267768,41.36745989486123,41.36745989496123,41.58228403920527,41.58228403930527,41.793550940279445,41.79355094037945,42.004317604018794,42.004317604118796,42.21497310390596,42.21497310400596,42.41940342807087,42.419403428170874,42.62361142453142,42.62361142463142,42.82565172587439,42.82565172597439,43.02746969951299,43.02746969961299,43.22873185389068,43.22873185399068,43.42799305892907,43.42799305902907,43.62603146159344,43.626031461693444,43.82229124262289,43.82229124272289,44.01816195016969,44.01816195026969,44.21347683845558,44.21347683855558,44.408458235184916,44.40845823528492,44.60282823072725,44.60282823082725,44.79564193233901,44.79564193243901,44.98773306891158,44.98773306901158,45.37169301435237,45.37169301445237,45.56317274973793,45.56317274983793,45.750706168370996,45.750706168471,45.93807284122578,45.938072841325784,46.12138203347588,46.121382033575884,46.30385749683461,46.30385749693461,46.486277378267246,46.48627737836725,46.667919112734594,46.667919112834596,46.84811571712357,46.84811571722357,47.0272562649168,47.0272562650168,47.205840993449115,47.20584099354912,47.382647100346496,47.3826471004465,47.55900855183515,47.55900855193515,47.734814184062884,47.734814184162886,47.91034190666016,47.91034190676016,48.08492473651388,48.08492473661388,48.25922965673714,48.25922965683714,48.432089446882024,48.432089446982026,48.60411550813553,48.60411550823553,48.775474586275934,48.775474586375935,48.9463890090076,48.946389009107605,49.116358538995726,49.11635853909573,49.28621690513166,49.28621690523166,49.45368524844565,49.45368524854565,49.6208201002031,49.6208201003031,49.78784378810836,49.78784378820836,49.95442282060489,49.95442282070489,50.11811159294465,50.11811159304465,50.28174478335833,50.28174478345833,50.444766572584996,50.444766572685,50.607677197959475,50.60767719805948,50.76886478362512,50.76886478372512,51.08846085865183,51.08846085875183,51.24581329141715,51.24581329151715,51.402609904921555,51.402609905021556,51.559184190721595,51.5591841908216,51.71525823918682,51.71525823928682,51.870832050317205,51.87083205041721,52.02568329640841,52.02568329650841,52.17997872323869,52.17997872333869,52.333162511547144,52.333162511647146,52.486235136003415,52.48623513610342,52.63891868697704,52.638918687077044,52.791379910246306,52.79137991034631,52.94311856847638,52.94311856857638,53.09469048092817,53.094690481028174,53.24598448374951,53.24598448384951,53.397111740792575,53.397111740892576,53.54746085087036,53.54746085097036,53.69680948627849,53.69680948637849,53.84260087841676,53.84260087851676,53.98822552477675,53.98822552487675,54.13318318802365,54.13318318812365,54.27797410549227,54.27797410559227,54.42243153140434,54.422431531504344,54.56672221153814,54.566722211638144,54.710290326632744,54.710290326732746,54.85141283697932,54.85141283707932,55.1334911118942,55.1334911119942,55.274224548758134,55.274224548858136,55.55563584055991,55.55563584065991,55.69281203415398,55.69281203425398,55.82987706389587,55.82987706399587,55.96660860208121,55.96660860218121,56.103284558340455,56.10328455844046,56.23918236763442,56.23918236773442,56.374413193815286,56.37441319391529,56.5086991272526,56.5086991273526,56.641817840241984,56.641817840341986,56.77432515204436,56.774325152144364,56.90666571806846,56.90666571816846,57.03889512024038,57.038895120340385,57.16990172003828,57.169901720138284,57.30029691864918,57.30029691874918,57.43052537148181,57.43052537158181,57.56030916890569,57.56030916900569,57.819487690270826,57.81948769037083,57.94815984917289,57.94815984927289,58.07622060688794,58.07622060698794,58.2041702007508,58.204170200850804,58.33028559105264,58.330285591152645,58.455900744019665,58.45590074411967,58.5814047331345,58.5814047332345,58.7064640668406,58.706464066940605,58.82868872231603,58.82868872241603,58.950857795865375,58.950857795965376,59.07269337785816,59.07269337795816,59.19341732132912,59.19341732142912,59.31352986361307,59.31352986371307,59.43358682397093,59.43358682407093,59.55347703855051,59.55347703865051,59.673311671204004,59.673311671304006,59.792979558079224,59.792979558179226,59.912480699176164,59.912480699276166,60.031259275233914,60.031259275333916,60.14853713928719,60.148537139387194,60.26537034793174,60.265370348031745,60.382092392724104,60.382092392824106,60.49870327366428,60.498703273764285,60.61525857267837,60.61525857277837,60.73170270784028,60.73170270794028,60.8479800972239,60.847980097323905,61.08003463865634,61.080034638756345,61.195311553370324,61.195311553470326,61.309699157266834,61.309699157366836,61.42364210575462,61.42364210585462,61.53708481690758,61.53708481700758,61.650471946134445,61.65047194623445,61.76380349343522,61.76380349353522,61.8770794588099,61.877079458909904,61.99013309648022,61.99013309658022,62.10296440644617,62.10296440654617,62.21546222485557,62.21546222495557,62.32768213363451,62.32768213373451,62.439123895448176,62.43912389554818,62.55017658377919,62.55017658387919,62.66084019862757,62.66084019872757,62.771003576141126,62.77100357624113,62.880277642837214,62.880277642937216,63.09865903045112,63.09865903055112,63.207043786329734,63.207043786429736,63.314983886799624,63.314983886899626,63.42286840534342,63.422868405443424,63.52986361306976,63.52986361316976,63.63663649309172,63.63663649319172,63.7432982092615,63.743298209361505,63.849459688096466,63.84945968819647,64.06128240843155,64.06128240853155,64.16677690415341,64.16677690425341,64.27149325290999,64.27149325301,64.37615401974048,64.37615401984048,64.4805924588666,64.4805924589666,64.58480857028835,64.58480857038835,64.68874677207964,64.68874677217964,64.79262939194484,64.79262939204484,64.8955115371404,64.8955115372404,64.99783786307503,64.99783786317504,65.1000530251575,65.1000530252575,65.20154562220075,65.20154562230076,65.30298263731792,65.30298263741793,65.40397499702637,65.40397499712637,65.50446711939998,65.50446711949998,65.60462575021705,65.60462575031706,65.70400623406883,65.70400623416883,65.80299764443797,65.80299764453797,65.9013776536201,65.9013776537201,65.99964649895006,65.99964649905006,66.09747068887127,66.09747068897127,66.19418324027066,66.19418324037066,66.2898953170004,66.2898953171004,66.38527390217358,66.38527390227358,66.48054132349459,66.4805413235946,66.57547525325904,66.57547525335904,66.6697977818365,66.6697977819365,66.76395356463567,66.76395356473567,66.8577202739522,66.8577202740522,66.95137581941654,66.95137581951654,67.04492020102872,67.04492020112872,67.13801992723214,67.13801992733214,67.23100848958339,67.23100848968339,67.32355239652591,67.32355239662591,67.41592955769015,67.41592955779015,67.60046155231426,67.60046155241426,67.69233847614368,67.69233847624368,67.78404865419482,67.78404865429482,67.87542534068942,67.87542534078942,67.96657969947964,67.96657969957964,68.05740056671331,68.05740056681331,68.14788794239044,68.14788794249044,68.23770833495448,68.23770833505448,68.32641708899666,68.32641708909667,68.41451444185185,68.41451444195185,68.59037565600568,68.59037565610568,68.67808393537823,68.67808393547823,68.76534755934205,68.76534755944205,68.8517218724884,68.8517218725884,69.0224695494418,69.0224695495418,69.10662058554448,69.10662058564448,69.19043813009061,69.19043813019061,69.27414451078457,69.27414451088457,69.4367216446025,69.4367216447025,69.5154812338743,69.5154812339743,69.59312918462426,69.59312918472426,69.66905409566539,69.66905409576539,69.74397853203686,69.74397853213686,69.81045451564242,69.81045451574242,69.8728174367172,69.8728174368172,69.92967774710891,69.92967774720891,69.9820359214872,69.9820359215872,70.03155941763481,70.03155941773481,70.08052709452151,70.08052709462152,70.12927244370384,70.12927244380384,70.16534511373729,70.16534511383729,70.1944144610832,70.1944144611832,70.22237216990727,70.22237217000728,70.24388237530472,70.24388237540472,70.26450326988471,70.26450326998471,70.28473509098205,70.28473509108206,70.30452225667067,70.30452225677067,70.32392034887664,70.32392034897664,70.34281820374778,70.34281820384778,70.36032651046663,70.36032651056664,70.37405524621126,70.37405524631126,70.38183671586408,70.38183671596408,70.38544954106004,70.38544954116004],[0.0,1e-10,3.083240604153304,3.083240604253304,5.905746393010906,5.905746393110906,8.50892590151105,8.50892590161105,10.93001902013511,10.93001902023511,13.171360189778929,13.171360189878929,15.359231546522627,15.359231546622627,17.48646302190039,17.48646302200039,19.570396176852796,19.570396176952794,21.560062385153845,21.560062385253843,23.431061181249326,23.431061181349325,25.02826340941758,25.028263409517578,26.613015286141312,26.61301528624131,28.152523475026484,28.152523475126483,29.577366150384684,29.577366150484682,30.946960391207828,30.946960391307826,32.31460926461777,32.314609264717774,33.672031063626854,33.672031063726855,35.00483006937736,35.004830069477364,36.31845331062626,36.31845331072626,37.590001033823825,37.590001033923826,38.80263191536429,38.80263191546429,39.98691601459804,39.98691601469804,41.026687105993624,41.026687106093625,42.06329002760199,42.06329002770199,43.08610863153963,43.08610863163963,44.08235907480549,44.08235907490549,45.0696608279706,45.0696608280706,46.04306709961281,46.043067099712815,46.99301779844437,46.99301779854437,47.92718323026592,47.92718323036592,48.7505183014608,48.7505183015608,49.5612362754329,49.5612362755329,50.364061615899985,50.36406161599999,51.16610880940179,51.16610880950179,51.938864327853324,51.938864327953326,52.686830307268,52.686830307368005,53.43462954090441,53.43462954100441,54.18226202876254,54.18226202886254,54.92466981556805,54.924669815668054,55.6635759410298,55.6635759411298,56.37380179262828,56.37380179272828,57.05684808236797,57.05684808246797,57.73011195311553,57.730111953215534,58.39437155183626,58.39437155193626,59.033563701889676,59.03356370198968,59.668142552077484,59.668142552177486,60.280766541459116,60.28076654155912,60.88477533229654,60.88477533239654,61.480168924589776,61.48016892468978,62.03181954104892,62.03181954114892,62.57335424695939,62.57335424705939,63.1047174603951,63.1047174604951,63.63407972449151,63.63407972459151,64.14548902646033,64.14548902656033,64.65545319835077,64.65545319845077,65.14740882618753,65.14740882628753,65.61496398847008,65.61496398857008,66.08224124112218,66.08224124122218,66.54612799628268,66.54612799638268,67.00479005039057,67.00479005049057,67.4612844093809,67.4612844094809,67.90749611204427,67.90749611214427,68.35342990507719,68.3534299051772,68.79602878254461,68.79602878264461,69.23123526384184,69.23123526394184,69.62786788843151,69.62786788853151,70.01488483980734,70.01488483990734,70.4016238815527,70.4016238816527,70.78819617751978,70.78819617761978,71.17176704947792,71.17176704957792,71.55044671194,71.55044671204,71.92845939128898,71.92845939138898,72.30524926826395,72.30524926836395,72.6740909298078,72.6740909299078,73.03798579992952,73.03798580002952,73.39532200277243,73.39532200287243,73.7509351659065,73.7509351660065,74.09776638471808,74.09776638481809,74.43792777239868,74.43792777249868,74.77342027828759,74.77342027838759,75.0956842857667,75.0956842858667,75.41294591989755,75.41294591999755,75.72459377949316,75.72459377959316,76.03396278011901,76.03396278021901,76.33616171227905,76.33616171237905,76.62946753626443,76.62946753636443,76.91660376645363,76.91660376655364,77.18767682000238,77.18767682010238,77.45102398582439,77.4510239859244,77.7037550037629,77.7037550038629,77.95565229281003,77.95565229291003,78.20577096022224,78.20577096032224,78.4522212205124,78.4522212206124,78.69755984228073,78.69755984238073,78.94206473515769,78.94206473525769,79.18334587632133,79.18334587642133,79.41528925390158,79.41528925400158,79.6427860773945,79.6427860774945,79.86717031302629,79.8671703131263,80.084829135601,80.084829135701,80.29348368614887,80.29348368624888,80.50158241743583,80.50158241753583,80.70806927286613,80.70806927296613,80.90844211642634,80.90844211652634,81.10548004442107,81.10548004452107,81.29768234484584,81.29768234494584,81.48510459962671,81.48510459972671,81.67008124965956,81.67008124975956,82.03603265104667,82.03603265114667,82.21545110847035,82.21545110857035,82.39414700085484,82.39414700095485,82.57262056553498,82.57262056563498,82.74703664961042,82.74703664971042,82.9186180554552,82.9186180555552,83.0866977999562,83.0866978000562,83.25438847097456,83.25438847107456,83.40712760387429,83.40712760397429,83.55825486091734,83.55825486101735,83.70860397099513,83.70860397109513,83.85672980402924,83.85672980412924,84.00418865395027,84.00418865405027,84.1488128256406,84.1488128257406,84.29088022873074,84.29088022883074,84.42166450082428,84.42166450092428,84.54939176698278,84.54939176708278,84.67622972232381,84.67622972242381,84.78983917925504,84.78983917935504,84.90250374344272,84.90250374354272,85.01422341488684,85.01422341498684,85.12466470203086,85.12466470213086,85.23438342413567,85.23438342423567,85.34276818001429,85.34276818011429,85.44904082270143,85.44904082280144,85.5552023015364,85.5552023016364,85.6578065371015,85.6578065372015,85.76013286303613,85.76013286313614,85.85590052169196,85.85590052179197,85.95038979604767,85.95038979614768,86.04332277647283,86.04332277657284,86.13447713526307,86.13447713536307,86.22112935803987,86.22112935813988,86.30744808926012,86.30744808936012,86.39237727232809,86.39237727242809,86.47658389035686,86.47658389045687,86.55701093741142,86.55701093751142,86.63577052668322,86.63577052678322,86.71408546054629,86.71408546064629,86.77622605391669,86.77622605401669,86.83536522327816,86.83536522337816,86.88855712654782,86.88855712664783,86.93691340224751,86.93691340234751,86.98271290934699,86.98271290944699,87.02728961407246,87.02728961417246,87.06964304175426,87.06964304185426,87.10743875149655,87.10743875159655,87.14417840464309,87.14417840474309,87.17902827230253,87.17902827240253,87.21148811714002,87.21148811724002,87.24305865116006,87.24305865126006,87.27340638280606,87.27340638290606,87.30247573015197,87.30247573025197,87.32309662473196,87.32309662483196,87.34349519160757,87.34349519170758,87.36278211996137,87.36278212006137,87.3810129917194,87.3810129918194,87.39907711769918,87.39907711779918,87.41519587626574,87.41519587636574,87.43014741438438,87.43014741448438,87.44137496345489,87.44137496355489,87.45065714511217,87.45065714521218,87.45860536054327,87.45860536064328,87.46627566634392,87.46627566644392,87.47377922636629,87.47377922646629,87.48044905749728,87.48044905759728,87.48650748744126,87.48650748754126,87.49245475353307,87.49245475363307,87.49834643769877,87.49834643779877,87.50351555682529,87.5035155569253,87.50851793017354,87.50851793027354,87.51307564811304,87.51307564821305],[0.0,1e-10,1.1830612968597323,1.1830612969597323,2.3183221372806875,2.3183221373806875,3.327022931991067,3.327022932091067,4.300707113263737,4.300707113363737,5.136436953977054,5.136436954077054,5.971277483872904,5.971277483972904,6.7945013912156105,6.7945013913156105,7.607887297640103,7.607887297740103,8.402764422676093,8.402764422776093,9.17852136513657,9.17852136523657,9.93171204560386,9.93171204570386,10.683568759844949,10.683568759944949,11.420307190189122,11.420307190289122,12.153154885706885,12.153154885806885,12.876831563419534,12.876831563519534,13.568270723999053,13.568270724099053,14.240867611633519,14.240867611733519,14.885284462739545,14.885284462839545,15.527200127171447,15.527200127271447,16.13515523476138,16.13515523486138,16.738552624411803,16.7385526245118,17.315882090725268,17.315882090825266,17.88420728501189,17.884207285111888,18.452198987741962,18.45219898784196,18.999680959744236,18.999680959844234,19.541938230693894,19.541938230793892,20.07457982842971,20.074579828529707,20.60555396838278,20.605553968482777,21.128579892904746,21.128579893004744,21.64604762481755,21.64604762491755,22.157123435229824,22.157123435329822,22.666420624007166,22.666420624107165,23.17332778996257,23.17332779006257,23.67384303441744,23.67384303451744,24.159851396162402,24.1598513962624,24.641135294189578,24.641135294289576,25.121529881399287,25.121529881499285,25.599200954230508,25.599200954330506,26.066422624956505,26.066422625056504,26.53231032945631,26.532310329556307,26.996530576173363,26.99653057627336,27.460306167481683,27.46030616758168,27.918968221589576,27.918968221689575,28.368459257892354,28.368459257992352,28.807834383646462,28.80783438374646,29.24470832272645,29.244708322826447,29.678080600462664,29.678080600562662,30.10461630128961,30.10461630138961,30.53015152744691,30.53015152754691,30.955242098195477,30.955242098295475,31.376997753378546,31.376997753478545,31.796585713444045,31.796585713544044,32.21239410253531,32.212394102635315,32.62364477368707,32.62364477378707,33.03339473283435,33.033394732934354,33.441866307681536,33.44186630778154,33.848170187411135,33.84817018751114,34.24207929762232,34.24207929772232,34.633931876568106,34.63393187666811,35.02278303150495,35.02278303160495,35.41030022021559,35.41030022031559,35.79520505839993,35.79520505849993,36.17716405450141,36.17716405460141,36.55606604466786,36.55606604476786,36.9343566336473,36.9343566337473,37.3115355841049,37.311535584204904,37.68771405989286,37.687714059992864,38.063392298345995,38.063392298446,38.437958898277294,38.437958898377296,38.80935732842137,38.80935732852137,39.17964412004362,39.17964412014362,39.54876369121794,39.548763691317944,39.913603454083216,39.91360345418322,40.27416340863943,40.27416340873943,40.6323889222998,40.632388922399805,40.987613011951225,40.98761301205123,41.336778671658664,41.336778671758665,41.682553833874515,41.68255383397452,42.022492893850746,42.02249289395075,42.354483738395885,42.35448373849589,42.68230593848415,42.68230593858415,43.008849754272305,43.00884975437231,43.335004496577824,43.335004496677826,43.66065900154851,43.66065900164851,43.985757687258285,43.98575768735829,44.31018938985496,44.310189389954964,44.62656171316836,44.62656171326836,44.93804282698569,44.938042827085695,45.24935719502475,45.24935719512475,45.56000457995071,45.56000458005071,45.868762179389556,45.86876217948956,46.17335113437153,46.17335113447153,46.477439852018676,46.47743985211868,46.78008343958745,46.78008343968745,47.08200446211703,47.08200446221703,47.38175778952903,47.381757789629035,47.678231783301634,47.678231783401635,47.974038793961135,47.97403879406114,48.267678109503066,48.26767810960307,48.56120626119281,48.56120626129281,48.85412301169555,48.85412301179555,49.1429822815936,49.142982281693605,49.4308966587481,49.4308966588481,49.71725474197203,49.71725474207203,50.002501186674124,50.002501186774126,50.28713623018921,50.287136230289214,50.57121545444338,50.571215454543385,50.84951415838403,50.849514158484034,51.124477946759185,51.12447794685919,51.3989970797256,51.398997079825605,51.67184875490928,51.67184875500928,51.94358879157111,51.94358879167111,52.21204949459354,52.212049494693545,52.47778668323749,52.47778668333749,52.742801306842246,52.74280130694225,53.00625963651644,53.00625963661644,53.26182533268562,53.26182533278562,53.515334497589414,53.515334497689416,53.76584223848426,53.76584223858426,54.016127651674736,54.01612765177474,54.265468172121665,54.26546817222167,54.513974963677214,54.513974963777216,54.7608698793761,54.760869879476104,55.00665315655316,55.006653156653165,55.251825032543216,55.25182503264322,55.49632992542017,55.49632992552017,55.74050132674058,55.74050132684058,55.983116434130416,55.98311643423042,56.221507315137295,56.2215073152373,56.45806399258315,56.45806399268315,56.693231121876714,56.693231121976716,56.92578590064397,56.925785900743975,57.153560633767356,57.15356063386736,57.381057457260276,57.38105745736028,57.60849869882711,57.608498698927114,57.83571761268958,57.83571761278958,58.06210279766067,58.06210279776067,58.28682052484901,58.286820524949015,58.51131592433299,58.51131592443299,58.73575574189088,58.73575574199088,58.95458178491351,58.95458178501351,59.17307433637959,59.173074336479594,59.38906570117155,59.389065701271555,59.601555404619745,59.60155540471975,59.813878362289664,59.813878362389666,60.023477805581095,60.0234778056811,60.23235468383333,60.23235468393333,60.43850804770708,60.43850804780708,60.644494665802554,60.644494665902556,61.053244150280186,61.05324415038019,61.25206069990985,61.25206070000985,61.45009910257422,61.45009910267422,61.647637267903775,61.64763726800378,61.84417495856368,61.84417495866368,62.04049032151921,62.04049032161921,62.23335960505707,62.23335960515707,62.424505848886085,62.42450584898609,62.614985109602,62.614985109702005,62.80463064142654,62.80463064152654,62.9928866250988,62.9928866251988,63.18042004373186,63.18042004383186,63.36778671658665,63.36778671668665,63.55476431595879,63.554764316058794,63.739852129843825,63.73985212994383,63.9220496835721,63.9220496836721,64.10319118070463,64.10319118080463,64.2833877850936,64.2833877851936,64.46297298829556,64.46297298839556,64.6420579541627,64.6420579542627,64.82014244536019,64.82014244546019,64.99772669922285,64.99772669932285,65.17497746152897,65.17497746162897,65.3495047094566,65.3495047095566,65.52203100804493,65.52203100814494,65.69327892233315,65.69327892243315,65.86335961617345,65.86335961627346,66.03271774497456,66.03271774507456,66.19996376058418,66.19996376068418,66.36715419426773,66.36715419436773,66.53423346409907,66.53423346419908,66.69992318577815,66.69992318587815,66.8650570881963,66.8650570882963,67.02991308098397,67.02991308108398,67.19426883643685,67.19426883653685,67.3579576087766,67.3579576088766,67.51669958969423,67.51669958979423,67.83329424071198,67.83329424081198,67.99042434577294,67.99042434587294,68.14544233764242,68.14544233774242,68.29984892832488,68.29984892842488,68.4505315299592,68.45053153005921,68.60065831233263,68.60065831243263,68.74833948995801,68.74833949005802,68.89568717602685,68.89568717612686,69.04064483927374,69.04064483937374,69.18437970014662,69.18437970024662,69.32672501286721,69.32672501296722,69.46884799788344,69.46884799798345,69.61024841786048,69.61024841796048,69.75081510894613,69.75081510904613,69.8899922518795,69.8899922519795,70.02844682977369,70.02844682987369,70.16517836795902,70.16517836805902,70.30185432421827,70.30185432431827,70.43764096966005,70.43764096976005,70.57331645124965,70.57331645134965,70.70871402320878,70.70871402330879,70.84183273619817,70.84183273629817,70.97439562992665,70.97439563002665,71.10545781165064,71.10545781175064,71.23635324759636,71.23635324769636,71.36591471731589,71.36591471741589,71.49542060510932,71.49542060520932,71.62475974712447,71.62475974722447,71.75387656143526,71.75387656153526,71.88288221189387,71.88288221199387,72.00949783953054,72.00949783963054,72.13577997561065,72.13577997571065,72.2618397839864,72.2618397840864,72.38667678998814,72.38667679008815,72.51029099361585,72.51029099371586,72.6337940333914,72.6337940334914,72.75501821419718,72.75501821429718,72.87585332152032,72.87585332162033,72.99396491446497,72.99396491456497,73.1102978857747,73.1102978858747,73.22590829204523,73.22590829214523,73.34090729712875,73.34090729722875,73.5702383241827,73.5702383242827,73.68395894496611,73.68395894506611,73.7965679272277,73.7965679273277,74.02150798212041,74.02150798222041,74.13228276082097,74.13228276092097,74.24272404796498,74.24272404806499,74.35299858933071,74.35299858943071,74.46249498373118,74.46249498383118,74.57076857575761,74.57076857585761,74.67881984007968,74.67881984017968,74.7865931947713,74.7865931948713,74.89419980368464,74.89419980378464,75.00125059333706,75.00125059343706,75.10702299868937,75.10702299878938,75.21235074863296,75.21235074873296,75.31706709738954,75.31706709748954,75.42078297147647,75.42078297157647,75.52360953474593,75.52360953484593,75.6257691149023,75.6257691150023,75.72742845772383,75.72742845782383,75.828254071654,75.828254071754,75.9288017759537,75.9288017760537,76.02823784173158,76.02823784183158,76.12667343283981,76.12667343293981,76.22488669624366,76.22488669634366,76.32271088616488,76.32271088626489,76.42025716645564,76.42025716655564,76.5164694805202,76.5164694806202,76.61229272110212,76.61229272120212,76.70689315931003,76.70689315941003,76.80143801559184,76.80143801569184,76.89514914298228,76.89514914308228,76.98774863185089,76.9877486319509,77.07945880990204,77.07945881000204,77.17061316869226,77.17061316879226,77.26121170822157,77.26121170832157,77.3496425526333,77.3496425527333,77.43590570192747,77.43590570202747,77.52189094159118,77.52189094169118,77.60726478006788,77.60726478016788,77.69219396313585,77.69219396323585,77.77634499923853,77.77634499933853,77.86044045341512,77.86044045351512,77.9346979066735,77.93469790677351,78.00578719014466,78.00578719024466,78.05714488985329,78.05714488995329,78.10755769681838,78.10755769691838,78.15602513637026,78.15602513647026,78.20438141206995,78.20438141216995,78.25145930346953,78.25145930356953,78.29825928523866,78.29825928533866,78.33938991054644,78.33938991064645,78.37968680696287,78.37968680706287,78.41803833596606,78.41803833606606,78.44710768331197,78.44710768341197,78.47106349345745,78.47106349355745,78.49168438803744,78.49168438813744,78.50374566599932,78.50374566609932,78.5124164464696,78.5124164465696,78.52086489923552,78.52086489933552,78.52859078696225,78.52859078706226,78.53503829038888,78.53503829048888,78.53970717218058,78.53970717228059],[0.0,1e-10,0.673097124969291,0.673097125069291,1.197734925347915,1.197734925447915,1.6486710917290759,1.648671091829076,2.07993125627381,2.07993125637381,2.5078009233269563,2.5078009234269563,2.90676798881247,2.90676798891247,3.2868371994268393,3.2868371995268393,3.664460805293178,3.664460805393178,4.040194625672402,4.040194625772402,4.406423936689963,4.406423936789963,4.766928309320089,4.766928309420089,5.103476871804734,5.103476871904734,5.43552329827596,5.43552329837596,5.767180651264544,5.767180651364544,6.0977819476573885,6.0977819477573885,6.416766621497088,6.416766621597088,6.732249633993017,6.732249634093017,7.0446756405539075,7.0446756406539075,7.354211386958035,7.354211387058035,7.662802240618604,7.662802240718604,7.971337512353083,7.971337512453083,8.279316964826645,8.279316964926645,8.585184304108727,8.585184304208727,8.889773259090703,8.889773259190703,9.193472903255211,9.193472903355211,9.495227180006514,9.495227180106514,9.787921602804886,9.787921602904886,10.07928205937706,10.07928205947706,10.370086696688318,10.370086696788318,10.647218180181042,10.647218180281042,10.923349189004117,10.923349189104117,11.197923903896626,11.197923903996626,11.46638460691906,11.46638460701906,11.733900417197937,11.733900417297937,11.998248057689592,11.998248057789592,12.261761969289875,12.261761969389875,12.524775643555332,12.524775643655332,12.785677204629307,12.785677204729307,13.041631974281131,13.041631974381131,13.29469648377619,13.29469648387619,13.544703987336215,13.544703987436215,13.794100089709229,13.794100089809229,14.042495717412594,14.042495717512594,14.281664745384754,14.281664745484754,14.519888880613358,14.519888880713358,14.756834631541853,14.756834631641853,14.993558054765984,14.993558054865984,15.230114732211838,15.230114732311838,15.466282336175052,15.466282336275052,15.702394358212175,15.702394358312175,15.930224673261648,15.930224673361648,16.157554750976296,16.157554751076294,16.3832173709082,16.383217371008197,16.608157425800908,16.608157425900906,16.82937349164548,16.82937349174548,17.05036722978569,17.050367229885687,17.268970945103955,17.268970945203954,17.485129055674193,17.48512905577419,17.700342273500873,17.70034227360087,17.91444385280572,17.91444385290572,18.12521051654507,18.12521051664507,18.335699270653965,18.335699270753963,18.545298713945392,18.54529871404539,18.752508134414885,18.752508134514883,18.958717080214726,18.958717080314724,19.164314624827558,19.164314624927556,19.369022858622923,19.36902285872292,19.569062210626598,19.569062210726596,19.76732294099534,19.767322941095337,19.965139015955348,19.965139016055346,20.162288107802258,20.162288107902256,20.358936962314342,20.35893696241434,20.552639974743574,20.552639974843572,20.939323434562844,20.939323434662843,21.1315257349876,21.1315257350876,21.323561289634082,21.32356128973408,21.51298449375426,21.51298449385426,21.70224095209616,21.70224095219616,21.89105275502933,21.89105275512933,22.078419427884118,22.078419427984116,22.26556377303454,22.265563773134538,22.44887296528464,22.448872965384638,22.63079260938245,22.630792609482448,22.812601089628078,22.812601089728076,22.99385375061279,22.993853750712788,23.17327220803648,23.173272208136478,23.35241275582971,23.35241275592971,23.531219812066393,23.53121981216639,23.70924872133779,23.70924872143779,23.886110410161265,23.886110410261264,24.06252744357601,24.062527443676007,24.23833307580374,24.23833307590374,24.413805216474927,24.413805216574925,24.588610374033014,24.58861037413301,24.76308204003455,24.76308204013455,24.935775084401154,24.935775084501152,25.108301382989485,25.108301383089483,25.280160698464716,25.280160698564714,25.450908375418116,25.450908375518114,25.6197662668844,25.6197662669844,25.78812392101586,25.788123921115858,25.956203665516863,25.95620366561686,26.124005500387405,26.124005500487403,26.290973606366578,26.290973606466576,26.45644100034127,26.45644100044127,26.621741648537697,26.621741648637695,26.786986714808027,26.786986714908025,26.95134247026089,26.95134247036089,27.115309152231113,27.11530915233111,27.278831178792604,27.278831178892602,27.442130877649728,27.442130877749726,27.604874757245938,27.604874757345936,27.930306934512263,27.93030693461226,28.255294456369857,28.255294456469855,28.416926697444232,28.41692669754423,28.578447774666426,28.578447774766424,28.73969094225816,28.73969094235816,28.900711782145528,28.900711782245526,29.061232384698073,29.06123238479807,29.220696930654878,29.220696930754876,29.380105894685588,29.380105894785586,29.539348112938026,29.539348113038024,29.69847916733828,29.69847916743828,29.85738789403417,29.857387894134167,30.014851490651676,30.014851490751674,30.1702029740777,30.1702029741777,30.32499863824281,30.32499863834281,30.477459861512074,30.477459861612072,30.62942084744651,30.62942084754651,30.781270669528766,30.781270669628764,30.931897689237005,30.931897689337003,31.081524234275594,31.081524234375593,31.231095197388093,31.23109519748809,31.379387776200485,31.379387776300483,31.526457552638863,31.52645755273886,31.673471747151147,31.673471747251146,31.820152450106885,31.820152450206884,31.96649966150607,31.96649966160607,32.1119019801617,32.1119019802617,32.25580358681285,32.255803586912855,32.39931611998137,32.39931612008137,32.54132794114541,32.54132794124541,32.68328418038336,32.68328418048336,32.82518483769522,32.82518483779522,32.96669642152443,32.966696421624434,33.10770776801883,33.10770776811883,33.24860795066103,33.248607950761034,33.388118585150956,33.38811858525096,33.52662874497123,33.52662874507123,33.66497215901322,33.66497215911322,33.80309324535085,33.80309324545085,33.9404361847232,33.9404361848232,34.07750121446509,34.07750121456509,34.21389926109387,34.21389926119387,34.35001939809221,34.35001939819221,34.486083953164446,34.48608395326445,34.62120361549313,34.62120361559313,34.75626769589572,34.756267695995724,34.89088712088958,34.89088712098958,35.02456165313988,35.02456165323988,35.29146606223175,35.29146606233175,35.42447361136895,35.424473611468954,35.556480685836505,35.556480685936506,35.687487285634404,35.687487285734406,35.81793806617139,35.817938066271395,35.94833326478229,35.948333264882294,36.078617299541,36.078617299641,36.208734588521445,36.20873458862145,36.338518385945335,36.33851838604534,36.46824660144313,36.46824660154313,36.597863653088744,36.597863653188746,36.72714721317781,36.72714721327781,36.98538084179939,36.98538084189939,37.113997418775355,37.11399741887536,37.24239166804695,37.24239166814695,37.37073033539246,37.37073033549246,37.49851318347705,37.49851318357705,37.624739737631074,37.624739737731076,37.75063280022855,37.75063280032855,37.8760256254912,37.876025625591204,38.00130728690167,38.00130728700167,38.12547730979031,38.125477309890314,38.24942500497458,38.249425005074585,38.37320595438058,38.37320595448058,38.62071227126648,38.62071227136648,38.74410414718983,38.74410414728983,38.86721811348273,38.86721811358273,38.99005417014517,38.99005417024517,39.11238998947278,39.11238998957278,39.23411440761339,39.23411440771339,39.355394170345264,39.355394170445265,39.476618351151046,39.47661835125105,39.597453458474185,39.597453458574186,39.71767716461032,39.717677164710324,39.83778970689427,39.83778970699427,39.95784666725213,39.95784666735213,40.07762571797953,40.07762571807953,40.19673778559383,40.196737785693834,40.31573868935595,40.315738689455955,40.43440610156152,40.43440610166152,40.552628858358354,40.552628858458355,40.67040695974646,40.67040695984646,40.78785156957801,40.78785156967801,40.905018269779106,40.90501826987911,41.13890701477256,41.138907014872565,41.25529556800838,41.25529556810838,41.37151737546591,41.371517375565915,41.487516855219084,41.487516855319086,41.60329400726789,41.60329400736789,41.718959995464516,41.71895999556452,41.834181328252406,41.83418132835241,41.94912475140983,41.949124751509835,42.17723297608977,42.17723297618977,42.29034219568617,42.290342195786174,42.402840014095574,42.402840014195576,42.51494875902234,42.51494875912234,42.62589028350117,42.62589028360117,42.73660948027564,42.73660948037564,42.84727309512402,42.84727309522402,42.957492054563666,42.95749205466367,43.06743310437285,43.067433104472855,43.17720740840377,43.17720740850377,43.28687054858249,43.286870548682494,43.39575554179594,43.395755541895944,43.503862388044105,43.50386238814411,43.61191365236618,43.61191365246618,43.71990933476216,43.71990933486216,43.82690454248849,43.826904542588494,43.93384416828873,43.93384416838873,44.03972773749323,44.03972773759323,44.14544456091946,44.14544456101946,44.25060556508477,44.25060556518477,44.35548865961962,44.35548865971962,44.46026059030229,44.46026059040229,44.564921357132775,44.56492135723278,44.66947096011108,44.66947096021108,44.77340916190237,44.77340916200237,44.87668038058057,44.87668038068057,44.97978485348048,44.97978485358048,45.08261141674995,45.08261141684995,45.18538239809332,45.18538239819332,45.288042215584504,45.288042215684506,45.39059086922351,45.39059086932351,45.49291719515815,45.49291719525815,45.59491002953624,45.59491002963624,45.69662495428386,45.696624954383864,45.79822871517931,45.798228715279315,45.8995545664443,45.8995545665443,46.000435762300555,46.000435762400556,46.20164233475216,46.20164233485216,46.30168980171704,46.30168980181704,46.40140377712537,46.40140377722537,46.500617515198876,46.50061751529888,46.599108688233194,46.599108688333196,46.697044042006596,46.6970440421066,46.794812650001724,46.794812650101726,46.89247009414466,46.892470094244665,46.989905210583245,46.98990521068325,47.08728474509573,47.08728474519573,47.28198823219461,47.28198823229461,47.378978693224454,47.378978693324456,47.47580240847602,47.47580240857602,47.5725705418015,47.5725705419015,47.66928309320089,47.66928309330089,47.862374704443106,47.86237470454311,47.95864260043376,47.958642600533764,48.053576530198214,48.053576530298216,48.14845487803658,48.14845487813658,48.33815599178722,48.33815599188722,48.432867593847305,48.43286759394731,48.52680104894211,48.52680104904211,48.62067892211083,48.62067892221083,48.71444563142735,48.714445631527354,48.80782326726124,48.80782326736124,48.90114532116905,48.90114532126905,48.99424504737247,48.994245047472475,49.087178027797634,49.087178027897636,49.272877242869676,49.27287724296968,49.365421149812185,49.36542114991219,49.45785389290252,49.45785389300252,49.550231054066764,49.550231054166765,49.64205239597009,49.64205239607009,49.73376257402123,49.73376257412123,49.82525042436801,49.82525042446801,49.91651594701042,49.91651594711042,50.007559141948455,50.00755914204846,50.097490698364666,50.09749069846467,50.187255509002604,50.187255509102606,50.27679799193617,50.27679799203617,50.36617372909147,50.36617372919147,50.4552715566163,50.455271556716305,50.54431380221505,50.54431380231505,50.811384957085195,50.8113849571852,50.90026045690566,50.900260457005665,50.98874688324349,50.988746883343495,51.07712214572914,51.077122145829144,51.16544182628869,51.165441826388694,51.25370592492216,51.25370592502216,51.34169211392516,51.341692114025165,51.51760891000508,51.51760891010508,51.604872533968894,51.604872534068896,51.69169150252397,51.691691502623975,51.77789906989205,51.77789906999205,52.03646619007018,52.03646619017018,52.122451429733886,52.12245142983389,52.20832550554541,52.20832550564541,52.294032835578655,52.29403283567866,52.379684583685815,52.37968458378582,52.46528074986688,52.46528074996688,52.55032109678703,52.55032109688703,52.635250279855,52.635250279955,52.71984597136642,52.71984597146642,52.8039970074691,52.8039970075691,52.8873698966065,52.8873698967065,52.97068720381781,52.97068720391781,53.053671019472574,53.053671019572576,53.13659925320124,53.13659925330124,53.21941632307772,53.219416323177725,53.30189990139766,53.30189990149766,53.38366091467841,53.38366091477841,53.465310764106974,53.465310764206976,53.54684944968335,53.54684944978335,53.628332553333635,53.62833255343364,53.709537747353465,53.70953774745347,53.79052061366893,53.79052061376893,53.87133673420612,53.87133673430612,53.95181936318676,53.95181936328676,54.0316350090543,54.0316350091543,54.10678177313014,54.10678177323014,54.175592197631545,54.17559219773155,54.211720449591084,54.211720449691086,54.241401198124,54.241401198224004,54.24923824970291,54.249238249802914],[0.0,1e-10,3.1825099241529036,3.1825099242529036,6.206778104723019,6.206778104823019,8.78416759951666,8.78416759961666,11.011224214154938,11.011224214254938,13.116500828726519,13.116500828826519,15.127343750868468,15.127343750968468,17.013794322417414,17.013794322517413,18.738890562522442,18.73889056262244,20.100091932505755,20.100091932605753,21.391426821391928,21.391426821491926,22.680538433234435,22.680538433334434,23.96587047410271,23.96587047420271,25.249646221040425,25.249646221140424,26.38518497109184,26.385184971191837,27.47170046233046,27.47170046243046,28.548989353837875,28.548989353937873,29.625388934527827,29.625388934627825,30.666827483706157,30.666827483806156,31.707098812436566,31.707098812536564,32.69117681388837,32.69117681398837,33.60905674136507,33.609056741465075,34.50209154787883,34.50209154797883,35.38412113302645,35.38412113312645,36.265372571208786,36.26537257130879,37.13667484462073,37.13667484472073,38.00653198795428,38.006531988054284,38.84904282365078,38.84904282375078,39.61118219421881,39.611182194318815,40.36298332653381,40.36298332663381,41.10172270621728,41.10172270631728,41.82884546334761,41.828845463447614,42.510335459156735,42.51033545925674,43.18043116011708,43.18043116021708,43.848081256329394,43.848081256429396,44.50350332880156,44.50350332890156,45.140194292180844,45.140194292280846,45.77143822680316,45.771438226903165,46.39729071459459,46.39729071469459,47.013861020728726,47.01386102082873,47.61475722370503,47.61475722380503,48.21026197985044,48.210261979950445,48.79970830605187,48.79970830615187,49.37948337711337,49.37948337721337,49.938026152407865,49.93802615250787,50.49512379762398,50.495123797723984,51.04938676460943,51.04938676470943,51.591921945189554,51.591921945289556,52.11789371179437,52.117893711894375,52.63752913882475,52.637529138924755,53.133542247266206,53.13354224736621,53.62844371718582,53.62844371728582,54.115563717452616,54.11556371755262,54.58756543382249,54.58756543392249,55.056899217739975,55.05689921783998,55.52400972461379,55.52400972471379,55.98105990286503,55.98105990296503,56.4326074704332,56.4326074705332,56.878819173096566,56.87881917319657,57.32397481916421,57.32397481926421,57.76863022789701,57.768630227997015,58.20822768135549,58.20822768145549,58.642822761465716,58.64282276156572,59.075305728384464,59.075305728484466,59.50573216403782,59.505732164137825,59.91220278954571,59.91220278964571,60.31583873682291,60.31583873692291,60.71647326009118,60.71647326019118,61.11649638217243,61.11649638227243,61.514129481431745,61.51412948153175,62.309228934172104,62.309228934272106,62.69207724109105,62.69207724119105,63.05908469907389,63.059084699173894,63.42425795349571,63.42425795359571,63.7857072188694,63.7857072189694,64.14604484572125,64.14604484582125,64.50054637033348,64.50054637043348,64.84404267357958,64.84404267367958,65.1846487166689,65.1846487167689,65.5241431212364,65.52414312133641,65.85496674533361,65.85496674543361,66.18173288882615,66.18173288892615,66.5056087721619,66.50560877226191,66.81553359204867,66.81553359214867,67.10411495231627,67.10411495241627,67.38502600678322,67.38502600688322,67.651263432762,67.651263432862,67.9152775816971,67.9152775817971,68.17901382100175,68.17901382110175,68.44241656874983,68.44241656884984,68.70331812982381,68.70331812992382,68.958883825993,68.958883826093,69.21022529577922,69.21022529587923,69.45484135250835,69.45484135260836,69.69767878760257,69.69767878770257,69.93745921676172,69.93745921686173,70.17696173629044,70.17696173639044,70.40968326083598,70.40968326093598,70.64090407337703,70.64090407347703,70.87017951850488,70.87017951860489,71.09517515532369,71.09517515542369,71.31700262235528,71.31700262245528,71.53466144492998,71.53466144502998,71.75093071935241,71.75093071945241,71.96569928177036,71.96569928187036,72.17240846490502,72.17240846500502,72.3657779857777,72.3657779858777,72.55647957419798,72.55647957429798,72.74379066512668,72.74379066522668,72.930268027164,72.930268027264,73.11402187482284,73.11402187492284,73.29271776720734,73.29271776730734,73.46952387410471,73.46952387420471,73.64116086187558,73.64116086197558,73.81196412075506,73.81196412085507,74.15301481925313,74.15301481935313,74.32165038301505,74.32165038311506,74.48167074823277,74.48167074833277,74.64135762189395,74.64135762199395,74.80032193051592,74.80032193061592,74.9533389730461,74.9533389731461,75.10591136016754,75.10591136026754,75.25687187143234,75.25687187153234,75.4073877272884,75.4073877273884,75.55679194462262,75.55679194472262,75.70602941617857,75.70602941627857,75.8534326841735,75.8534326842735,75.99944640401613,75.99944640411613,76.14440406726303,76.14440406736303,76.28802776428373,76.28802776438373,76.4238699916516,76.4238699917516,76.55926756361073,76.55926756371073,76.69349791512195,76.69349791522195,76.8241710233633,76.82417102346331,76.95034199559124,76.95034199569125,77.0663970572705,77.06639705737051,77.18067349731484,77.18067349741484,77.29294898801987,77.29294898811987,77.40161165352895,77.40161165362895,77.50905151666402,77.50905151676402,77.61365670156842,77.61365670166842,77.71809514069453,77.71809514079453,77.82081054011181,77.82081054021181,77.9181344926982,77.9181344927982,78.01523611758023,78.01523611768023,78.20766074570935,78.20766074580935,78.30170536465634,78.30170536475634,78.39441601737714,78.39441601747714,78.4866820146892,78.4866820147892,78.57644682532712,78.57644682542713,78.6653223251476,78.6653223252476,78.75380875148542,78.75380875158542,78.83790420566201,78.83790420576202,78.91977638279495,78.91977638289495,78.99909179132766,78.99909179142766,79.07440530118178,79.07440530128179,79.14960764718371,79.14960764728372,79.22214206073326,79.22214206083326,79.29389832731752,79.29389832741752,79.36537668427131,79.36537668437131,79.42596098371116,79.42596098381117,79.48437758803344,79.48437758813344,79.54001509605112,79.54001509615112,79.580589902098,79.580589902198,79.61288300115721,79.61288300125722,79.62377705867117,79.62377705877117],[0.0,1e-10,0.49529054340225864,0.49529054350225865,0.9505621000185643,0.9505621001185643,1.3201819085277127,1.3201819086277127,1.6626221551780678,1.6626221552780678,1.998948389958347,1.998948390058347,2.3256033695986873,2.3256033696986873,2.644865953068845,2.644865953168845,2.9431741504024687,2.9431741505024687,3.2362020647573906,3.2362020648573906,3.528173922516572,3.528173922616572,3.8153657346318752,3.8153657347318752,4.096387952951011,4.096387953051011,4.373630600295918,4.373630600395918,4.635532636039543,4.635532636139543,4.8964341971135195,4.8964341972135195,5.153778514917633,5.153778515017633,5.411067250795655,5.411067250895655,5.659796370055571,5.659796370155571,5.900910765440937,5.900910765540937,6.137523024812883,6.137523024912883,6.373190391441272,6.373190391541272,6.6065233171738145,6.6065233172738145,6.839133677867166,6.839133677967166,7.0715217108561506,7.071521710956151,7.303520670362494,7.303520670462494,7.535408466016655,7.535408466116655,7.767073933966449,7.767073934066449,7.998239164581418,7.998239164681418,8.226680880817899,8.226680880917899,8.452621410380258,8.452621410480258,8.674393295485746,8.674393295585746,8.893386084286655,8.893386084386655,9.111656308048374,9.111656308148374,9.327258599357695,9.327258599457695,9.54124901481036,9.54124901491036,9.753127317071543,9.753127317171543,9.961559539915049,9.961559540015049,10.167990813419255,10.167990813519255,10.373143702623356,10.373143702723356,10.578241009901364,10.578241010001364,10.783115989475007,10.783115989575007,10.987268404009457,10.987268404109457,11.18664077290003,11.18664077300003,11.384623593638315,11.384623593738315,11.581161284298217,11.581161284398217,11.776476172584104,11.776476172684104,11.96928987419587,11.96928987429587,12.161825666177176,12.161825666277176,12.354083548528024,12.354083548628024,12.545730029691866,12.545730029791866,12.735931380777325,12.735931380877325,12.925576912601867,12.925576912701867,13.11238776619574,13.11238776629574,13.29880954630697,13.29880954640697,13.485064580639925,13.485064580739925,13.667484462072562,13.667484462172562,13.848459213426814,13.848459213526814,14.028878145520153,14.028878145620153,14.209019167983032,14.209019168083032,14.388548789258904,14.388548789358904,14.56479907689537,14.56479907699537,14.74004888986219,14.74004888996219,15.090048278461003,15.090048278561003,15.264742272166906,15.264742272266906,15.438713700833619,15.438713700933619,15.612629547574238,15.612629547674238,15.78554491964521,15.78554491974521,15.957904472455265,15.957904472555265,16.128707731334757,16.128707731434755,16.29856609747069,16.29856609757069,16.465812113080318,16.465812113180316,16.632335563650756,16.632335563750754,16.797691793773268,16.797691793873266,16.962770114265325,16.962770114365323,17.12434677341361,17.124346773513608,17.284922957892245,17.284922957992244,17.445276814666514,17.445276814766512,17.60546392566251,17.605463925762507,17.765484290880227,17.765484290980226,17.92511558261531,17.925115582715307,18.08357965390246,18.08357965400246,18.241654651706977,18.241654651806975,18.399340576028848,18.399340576128846,18.556415099163715,18.556415099263713,18.713100548815937,18.713100548915936,18.869452506911614,18.869452507011612,19.025415391524646,19.025415391624644,19.181267112285497,19.181267112385495,19.49274822610283,19.492748226202828,19.64759947219403,19.64759947229403,19.801950480950406,19.801950481050405,19.955967998150232,19.95596799825023,20.10965202379351,20.10965202389351,20.26211324706277,20.26211324716277,20.413851905292844,20.413851905392843,20.565479399670732,20.56547939977073,20.716884566344255,20.716884566444254,20.868234151091684,20.868234151191682,21.0190279165782,21.019027916678198,21.16909911702552,21.16909911712552,21.31861449821193,21.318614498311927,21.467296150506964,21.467296150606963,21.61469941850189,21.614699418601887,21.76188035879245,21.761880358892448,21.907838496708994,21.907838496808992,22.05185126721233,22.05185126731233,22.195030308824297,22.195030308924295,22.337153293840522,22.33715329394052,22.478887205374104,22.478887205474102,22.619120404903214,22.619120405003212,22.75924244058014,22.75924244068014,22.89930889433098,22.899308894430977,23.038041381855614,23.038041381955612,23.176329213971517,23.176329214071515,23.31428355453087,23.31428355463087,23.451848821607584,23.451848821707582,23.588969433275565,23.588969433375564,23.72564538953481,23.72564538963481,23.861376453050504,23.861376453150502,23.996440533453093,23.99644053355309,24.13022622955558,24.130226229655577,24.263789597953696,24.263789598053695,24.396963892869174,24.396963892969172,24.529582368523734,24.529582368623732,24.661533861065195,24.661533861165193,24.792707206641374,24.792707206741373,24.923658224513186,24.923658224613185,25.05438691468063,25.05438691478063,25.185004440995893,25.18500444109589,25.315510803458974,25.315510803558972,25.445239018956773,25.44523901905677,25.574911652528478,25.574911652628476,25.70436195839582,25.704361958495817,25.833701100410973,25.83370110051097,25.96276233279567,25.962762332895668,26.091712401328184,26.091712401428182,26.220551306008517,26.220551306108515,26.348834391427932,26.34883439152793,26.476950731069074,26.476950731169072,26.60495590685803,26.60495590695803,26.732572009164347,26.732572009264345,26.86007694761848,26.86007694771848,26.98708164873779,26.987081648837787,27.113975186004915,27.113975186104913,27.24081314134595,27.240813141445948,27.367095277426067,27.367095277526065,27.619381639955847,27.619381640055845,27.870278454333334,27.870278454433333,27.994448477221972,27.99444847732197,28.11661755077131,28.116617550871307,28.237563821946633,28.23756382204663,28.35817660156541,28.35817660166541,28.598957505394225,28.598957505494223,28.718958883825994,28.718958883925993,28.838737934553393,28.83873793465339,28.958461403354704,28.958461403454702,29.07807370830383,29.078073708403828,29.31657575316289,29.31657575326289,29.43502083766409,29.43502083776409,29.553132430608745,29.553132430708743,29.671188441627304,29.671188441727303,29.789188870719777,29.789188870819775,29.906966972107877,29.906966972207876,30.024189254235065,30.024189254335063,30.14130037251007,30.14130037261007,30.257744507671973,30.25774450777197,30.374077478981693,30.37407747908169,30.490076958734868,30.490076958834866,30.605631783079307,30.605631783179305,30.72113102549765,30.72113102559765,30.836519104063818,30.836519104163816,30.951684854925613,30.95168485502561,31.06679502386132,31.06679502396132,31.18134937353611,31.18134937363611,31.295736977432625,31.295736977532624,31.409957835550866,31.409957835650864,31.524067529816925,31.524067529916923,31.752175754496857,31.752175754596855,31.865674047575904,31.865674047675903,31.979005594876682,31.97900559497668,32.09217039639918,32.092170396499185,32.31783301633108,32.31783301643108,32.43027525281439,32.43027525291439,32.65510414385492,32.65510414395492,32.87976628911717,32.87976628921717,33.10420610667506,33.10420610677506,33.216259269675724,33.216259269775726,33.32809010497203,33.32809010507203,33.43980977641614,33.43980977651614,33.6624709723391,33.6624709724391,33.77313458718748,33.77313458728748,33.88335354662712,33.88335354672712,33.99290552295367,33.99290552305367,34.211175746715384,34.211175746815385,34.31983841222446,34.319838412324465,34.428000840398724,34.428000840498726,34.53560744931206,34.53560744941206,34.64310289437322,34.64310289447322,34.749764610543004,34.749764610643005,34.96247664169556,34.96247664179556,35.068026719343514,35.068026719443516,35.27873780115677,35.278737801256774,35.38345414991335,35.38345415001335,35.48783700711338,35.48783700721338,35.59205311853513,35.59205311863513,35.69593573840033,35.69593573850033,35.90353423235246,35.903534232452465,36.00663870525238,36.00663870535238,36.10957643237403,36.10957643247403,36.212291831791305,36.21229183189131,36.31467373965204,36.31467373975204,36.518881736112576,36.51888173621258,36.620485497008026,36.62048549710803,36.721755766346924,36.721755766446925,36.822581380277086,36.82258138037709,36.923240248428975,36.92324024852898,37.0236767888765,37.0236767889765,37.124057747397934,37.124057747497936,37.32448617288425,37.32448617298425,37.42447805792304,37.42447805802304,37.52435877910965,37.52435877920965,37.624128336444066,37.62412833654407,37.7238423118524,37.7238423119524,37.823500705334645,37.82350070543465,37.92310351689079,37.92310351699079,38.022539582668664,38.022539582768665,38.12153099303781,38.12153099313781,38.22030007570258,38.220300075802584,38.319013576441264,38.319013576541266,38.417615913327765,38.41761591342777,38.51605150443599,38.516051504535994,38.614098022061576,38.61409802216158,38.71164430235234,38.71164430245234,38.80891267301264,38.808912673112644,38.90584755211639,38.90584755221639,39.00205986618096,39.00205986628096,39.098216598319425,39.09821659841943,39.193817511196976,39.19381751129698,39.28936284214844,39.289362842248444,39.38479700924772,39.38479700934772,39.480175594420906,39.48017559452091,39.57527626996364,39.57527627006364,39.67032136358028,39.67032136368028,39.76531087527082,39.76531087537082,39.8601336411831,39.8601336412831,39.954900825169275,39.95490082526928,40.04950126337718,40.04950126347718,40.144046119658995,40.144046119759,40.238146320532074,40.238146320632076,40.33219093947906,40.332190939579064,40.52022459544695,40.52022459554695,40.61376897705912,40.61376897715912,40.7072021948191,40.7072021949191,40.800524248726894,40.800524248826896,40.89373513878251,40.89373513888251,40.98650137342939,40.98650137352939,41.079100862298,41.079100862398,41.171644769240515,41.17164476934052,41.26407751233085,41.26407751243085,41.356399091569,41.356399091669005,41.44827601539842,41.44827601549842,41.539875029597376,41.53987502969738,41.63091822453542,41.63091822463542,41.72185025562128,41.72185025572128,41.81272670478105,41.81272670488105,41.90332524431036,41.90332524441036,41.99386820191357,41.99386820201357,42.08429999566461,42.08429999576461,42.174676207489554,42.174676207589556,42.26494125546231,42.26494125556231,42.35498397573071,42.35498397583071,42.534958252415315,42.53495825251532,42.62477864497934,42.62477864507934,42.71376530865199,42.713765308751995,42.8024184807681,42.8024184808681,42.89101607095811,42.89101607105811,42.97933575151767,42.97933575161767,43.067488686298944,43.067488686398946,43.155363711449766,43.15536371154977,43.242849663117944,43.242849663217946,43.329946541303485,43.32994654140349,43.416765509858564,43.416765509958566,43.50352889648756,43.50352889658756,43.590236701190456,43.59023670129046,43.67688892396726,43.67688892406726,43.85008220566869,43.85008220576869,43.93634535496285,43.936345355062855,44.02244175847874,44.02244175857874,44.19430107395397,44.194301074053975,44.279952822061134,44.279952822161135,44.36538224246392,44.365382242563925,44.45070049901453,44.45070049911453,44.53596317363905,44.53596317373905,44.62111468441138,44.62111468451138,44.79119537825168,44.79119537835168,44.87562432398482,44.875624324084825,44.959997687791876,44.95999768789188,45.043981978116285,45.04398197821629,45.12779952266242,45.12779952276242,45.211283575652004,45.211283575752006,45.37814051777899,45.37814051787899,45.54433047679288,45.54433047689288],[0.0,1e-10,9.902809444036226,9.902809444136226,18.952269576788098,18.952269576888096,27.514498545420995,27.514498545520993,35.04129181289345,35.04129181299345,41.69411487450157,41.694114874601574,47.5705695924622,47.5705695925622,52.70533908865651,52.70533908875651,57.14800244115819,57.14800244125819,61.196089700335605,61.19608970043561,64.53978721015415,64.53978721025415,67.10722754017739,67.10722754027739,69.55911304585621,69.55911304595621,70.93070823601865,70.93070823611865,72.30041364069398,72.30041364079398,73.61870576373457,73.61870576383457,74.84328675938472,74.84328675948473,75.60898337322263,75.60898337332263,76.36506431384669,76.36506431394669,76.96262560125749,76.96262560135749,77.45335842672023,77.45335842682023,77.78301483036952,77.78301483046953],[0.0,1e-10,0.5618221089339053,0.5618221090339053,1.1044128714401167,1.1044128715401167,1.6315518584928628,1.6315518585928628,2.149630991592678,2.149630991692678,2.633138166663517,2.633138166763517,3.1042505722159293,3.1042505723159293,3.557799089123395,3.557799089223395,3.9947286101294726,3.9947286102294726,4.4271004131960385,4.4271004132960385,4.856304046475383,4.856304046575383,5.280505306406484,5.280505306506484,5.701927470033005,5.701927470133005,6.101561518631618,6.101561518731618,6.480185599167605,6.480185599267605,6.857920368886127,6.857920368986127,7.215256571729031,7.215256571829031,7.5702583336760885,7.5702583337760885,7.91953515723571,7.9195351573357105,8.263087042407898,8.263087042507898,8.598690712148986,8.598690712248986,8.921844030445556,8.921844030545556,9.243218727107195,9.243218727207195,9.562314564799077,9.562314564899077,9.878186650777646,9.878186650877646,10.185610283990293,10.185610284090293,10.489476673933076,10.489476674033076,10.791897933797479,10.791897933897479,11.08592632282205,11.08592632292205,11.378565163694331,11.378565163794331,11.670314693749145,11.670314693849145,11.95928512749938,11.95928512759938,12.247699741988699,12.247699742088699,12.535558537217101,12.535558537317101,12.812189783375,12.812189783475,13.086041933228321,13.086041933328321,13.359393845746816,13.359393845846816,13.62929967884763,13.62929967894763,13.89587059638295,13.89587059648295,14.160273818800698,14.160273818900698,14.423287493066155,14.423287493166155,14.685133946883688,14.685133946983688,14.944312468248825,14.944312468348825,15.199544672861457,15.199544672961457,15.453943148582717,15.453943148682717,15.961461715725127,15.961461715825127,16.210579908467682,16.21057990856768,16.45791947957531,16.457919479675308,16.7048143952742,16.7048143953742,16.950542090525172,16.95054209062517,17.195936294219592,17.19593629431959,17.43949629435299,17.439496294452987,17.682556057151558,17.682556057251556,17.92444859950221,17.924448599602208,18.164562520217924,18.164562520317922,18.402675491594344,18.402675491694342,18.640177061783756,18.640177061883755,18.87628908382088,18.876289083920877,19.112123196227543,19.11212319632754,19.346456596629736,19.346456596729734,19.579845104288367,19.579845104388365,19.811732899942527,19.811732900042525,20.042564639000947,20.042564639100945,20.272784976872362,20.27278497697236,20.502727405113315,20.502727405213314,20.73205843216726,20.73205843226726,20.96066689418202,20.960666894282017,21.187552316487935,21.187552316587933,21.41404866531121,21.414048665411208,21.633764019151307,21.633764019251306,21.853034717582677,21.853034717682675,22.071471687122667,22.071471687222665,22.288963763919103,22.2889637640191,22.5053997841198,22.505399784219797,22.938160660669006,22.938160660769004,23.154096443534876,23.154096443634874,23.368420350544092,23.36842035064409,23.579965161248726,23.579965161348724,24.002665709175353,24.00266570927535,24.423865545097506,24.423865545197504,24.63252009564538,24.632520095745377,24.83917369685395,24.83917369695395,25.04566055228425,25.04566055238425,25.252091825788458,25.252091825888456,25.457911698105658,25.457911698205656,25.662564349974932,25.66256435007493,25.866049781396285,25.866049781496283,26.06681169843915,26.066811698539148,26.26468335532525,26.264683355425248,26.461999192950433,26.46199919305043,26.658981539019067,26.658981539119065,26.854685500787596,26.854685500887594,27.049722479443023,27.04972247954302,27.243425491872255,27.243425491972253,27.434404989922996,27.434404990022994,27.624828668712823,27.62482866881282,27.81464094631564,27.81464094641564,28.004342060066275,28.004342060166273,28.192486879886346,28.192486879986344,28.379631225036768,28.379631225136766,28.565274858182715,28.565274858282713,28.74591611798042,28.74591611808042,28.926279468147666,28.926279468247664,29.10241859193195,29.10241859203195,29.451417505861116,29.451417505961114,29.62272100207543,29.622721002175428,29.793301933250554,29.793301933350552,29.96327146323867,29.963271463338668,30.131740281222314,30.131740281322312,30.29954211609286,30.299542116192857,30.467232787111218,30.467232787211216,30.634312056942573,30.63431205704257,30.798556648543254,30.798556648643252,30.962578912439568,30.962578912539566,31.12654559440979,31.12654559450979,31.289011564375542,31.28901156447554,31.451255206636926,31.451255206736924,31.61316535734176,31.61316535744176,31.77418619722913,31.77418619732913,31.934817963633858,31.934817963733856,32.09483832885158,32.09483832895158,32.25480311214321,32.25480311224321,32.41371183883909,32.41371183893909,32.73125138260041,32.731251382700414,32.889381962331015,32.88938196243102,33.047456960135534,33.047456960235536,33.205309630235675,33.20530963033568,33.36305113648364,33.36305113658364,33.52029240539678,33.52029240549678,33.67669994541855,33.67669994551855,33.83299632158813,33.832996321688135,33.98834780501416,33.98834780511416,34.14325463303145,34.14325463313145,34.29782796949219,34.29782796959219,34.6068078966354,34.606807896735404,34.76115890539178,34.76115890549178,34.91484293103506,34.91484293113506,35.06847137475224,35.068471374852244,35.220877016095415,35.220877016195416,35.373227075512496,35.3732270756125,35.82988818028109,35.82988818038109,35.98101543732415,35.981015437424155,36.131975948588945,36.13197594868895,36.282602968297184,36.282602968397185,36.43256300489232,36.432563004992325,36.581911640300454,36.581911640400456,36.73098236607813,36.73098236617813,36.87966401837316,36.879664018473164,37.02801217911165,37.02801217921165,37.175526610958755,37.17552661105876,37.321929404284035,37.321929404384036,37.468165451831034,37.468165451931036,37.61362335241276,37.61362335251276,37.758136360250916,37.75813636035092,38.04688446629679,38.04688446639679,38.19028583561312,38.19028583571312,38.333576041077265,38.33357604117727,38.47681066461532,38.47681066471532,38.619934124301196,38.6199341244012,38.762835256282706,38.76283525638271,38.90540289670766,38.905402896807665,39.04791495520652,39.047914955306524,39.1903714317793,39.1903714318793,39.33216092523897,39.332160925338975,39.473672509068194,39.473672509168196,39.614795019414764,39.614795019514766,39.75530612857433,39.755306128674334,39.894594435359885,39.89459443545989,40.033715996367164,40.033715996467166,40.17267081159617,40.17267081169617,40.311458881046896,40.3114588811469,40.44885740234533,40.448857402445334,40.586200341717685,40.58620034181769,40.72326537145957,40.72326537155957,40.859385508457905,40.85938550855791,40.994783080417044,40.994783080517045,41.129680415041356,41.12968041514136,41.264355421961305,41.26435542206131,41.398585773472526,41.39858577357253,41.5324270515011,41.532427051601104,41.6661571656775,41.6661571657775,41.799220296740785,41.79922029684079,41.931838772395345,41.93183877249535,42.064401666123814,42.064401666223816,42.19624199481309,42.196241994913095,42.32802674157628,42.32802674167628,42.45970032448729,42.45970032458729,42.59054017850691,42.590540178606915,42.72026839400471,42.720268394104714,42.849274044463314,42.849274044563316,42.97822411299583,42.978224113095834,43.10711859960226,43.10711859970226,43.235735176578224,43.235735176678226,43.36368477044109,43.36368477054109,43.490745053486485,43.49074505358649,43.61680486186224,43.616804861962244,43.742253269050984,43.742253269150986,43.867590512387544,43.867590512487546,43.99264984609365,43.99264984619365,44.117653597873655,44.11765359797366,44.242435021949305,44.24243502204931,44.366382717133575,44.36638271723358,44.48988575690911,44.48988575700911,44.61322205090637,44.613222051006375,44.73622485334709,44.73622485344709,44.859060910009525,44.85906091010953,44.98178580281978,44.98178580291978,45.104066040221305,45.10406604032131,45.22595720414019,45.22595720424019,45.34773720420689,45.34773720430689,45.469350458495306,45.46935045859531,45.59074138507937,45.59074138517937,45.71135416469814,45.711354164798145,45.83191136239083,45.83191136249083,45.95230181430523,45.95230181440523,46.07208086503263,46.072080865132634,46.19147084227739,46.19147084237739,46.310749655669966,46.31074965576997,46.42986172328427,46.42986172338427,46.54886262704639,46.54886262714639,46.66780794888241,46.667807948982414,46.786197451457525,46.78619745155753,46.90436462632827,46.90436462642827,47.02203156386419,47.02203156396419,47.139142682139195,47.139142682239196,47.255753563079374,47.255753563179375,47.48830834184663,47.488308341946635,47.60414107582153,47.60414107592153,47.71975148209206,47.71975148219206,47.8353063064365,47.8353063065365,47.950805548854845,47.95080554895485,48.06613804549492,48.06613804559492,48.1814149602089,48.1814149603089,48.296580711070696,48.2965807111707,48.41135738844985,48.41135738854985,48.525633828494186,48.52563382859419,48.63985468661242,48.639854686712425,48.75279716043056,48.75279716053056,48.864794741505136,48.86479474160514,48.97662557680144,48.97662557690144,49.08834524824556,49.08834524834556,49.20000933776358,49.200009337863584,49.31161784535552,49.31161784545552,49.422781697538724,49.422781697638726,49.53372322201756,49.53372322211756,49.644442418792025,49.64444241889203,49.75410555897076,49.75410555907076,49.86360195337121,49.86360195347121,49.97298718391948,49.97298718401948,50.082316832541665,50.082316832641666,50.19153531731166,50.19153531741166,50.30025356474683,50.300253564846834,50.40852715677327,50.40852715687327,50.51668958494753,50.51668958504753,50.62479643119569,50.62479643129569,50.73273653166558,50.73273653176558,50.948172077196624,50.948172077296626,51.055556358405596,51.0555563585056,51.162885057688484,51.162885057788486,51.26988026541481,51.269880265514814,51.376597563510686,51.37659756361069,51.48292578812392,51.48292578822392,51.58919843081106,51.58919843091106,51.69530432771993,51.69530432781993,51.801299060776614,51.801299060876616,51.90701588420284,51.907015884302844,52.0118433968116,52.0118433969116,52.1163929997899,52.116392999889904,52.22060911121165,52.22060911131165,52.32465847685513,52.32465847695513,52.42792969553332,52.427929695633324,52.53081184072888,52.53081184082888,52.63347165822007,52.63347165832007,52.73602031185907,52.736020311959074,52.838402219719804,52.838402219819805,52.940672963728346,52.94067296382835,53.04249905232816,53.04249905242816,53.14382490359315,53.14382490369315,53.24459493559722,53.24459493569722,53.3453093856752,53.3453093857752,53.54668270390508,53.54668270400508,53.647230408204784,53.647230408304786,53.74772253057839,53.747722530678395,53.847936743321554,53.847936743421556,53.94809537413862,53.94809537423862,54.0481428411035,54.0481428412035,54.14780123458574,54.147801234685744,54.24684822688098,54.24684822698098,54.34561730954575,54.34561730964575,54.44421964643225,54.444219646532254,54.54276640139266,54.54276640149266,54.6410908286487,54.6410908287487,54.739359673978655,54.739359674078656,54.83751735545642,54.83751735555642,54.93528596345155,54.93528596355155,55.03188735099875,55.03188735109875,55.12843315661986,55.128433156719865,55.2248122164627,55.224812216562704,55.41745917229619,55.41745917239619,55.513504740582476,55.51350474068248,55.60949472694267,55.60949472704267,55.705429131376775,55.70542913147678,55.8012523719587,55.8012523720587,55.896797702910156,55.89679770301016,55.9918427965268,55.9918427966268,56.08622090703034,56.08622090713034,56.1804322717556,56.1804322718556,56.27447689070259,56.27447689080259,56.36818801809303,56.36818801819303,56.4616768177791,56.4616768178791,56.55511003553908,56.55511003563908,56.741642979502494,56.741642979602496,56.92756452227891,56.92756452237891,57.020275174999696,57.0202751750997,57.11259675423784,57.112596754337844,57.20480716962381,57.204807169723814,57.296906421157594,57.296906421257596,57.388950090765285,57.388950090865286,57.57292626612848,57.572926266228485,57.66463644417963,57.66463644427963,57.75562405719158,57.755624057291584,57.84594468709043,57.84594468719043,57.936209735063194,57.936209735163196,58.02625245533159,58.02625245543159,58.11573935633906,58.115739356439065,58.205115093494356,58.20511509359436,58.29437966679747,58.29437966689747,58.38319958469185,58.38319958479185,58.47074111828612,58.47074111838612,58.55817148802821,58.55817148812821,58.64532394813984,58.64532394823984,58.73236524439929,58.73236524449929,58.818961885250005,58.81896188535001,58.90533619839635,58.90533619849635,59.07802924276295,59.078029242862954,59.16395890050057,59.16395890060057,59.24966623053382,59.24966623063382,59.3351512328627,59.3351512329627,59.420525071339405,59.42052507143941,59.50545425440737,59.50545425450737,59.589994363992695,59.589994364092696,59.67447889165193,59.67447889175193,59.84317003733994,59.84317003743994,59.92715432766435,59.92715432776435,60.011083036062665,60.01108303616267,60.09484499868271,60.09484499878271,60.178440215524475,60.17844021562448,60.261090539622685,60.26109053972269,60.341573168603325,60.34157316870333,60.411773141257015,60.41177314135702,60.46207478436992,60.46207478446992,60.49914792907302,60.49914792917302,60.52299257536631,60.52299257546631,60.534498034067276,60.53449803416728],[0.0,1e-10,0.6848804933007104,0.6848804934007104,1.2676014064450578,1.2676014065450578,1.786514268436247,1.786514268536247,2.2921430500915436,2.2921430501915436,2.795937628185817,2.795937628285817,3.270718440860275,3.270718440960275,3.7359391622469773,3.7359391623469773,4.196935657250718,4.196935657350718,4.65276303312794,4.65276303322794,5.095917729856276,5.095917729956276,5.535070527906018,5.535070528006018,5.951101244701653,5.951101244801653,6.361962842370769,6.361962842470769,6.772546530409428,6.772546530509428,7.181129269108788,7.181129269208788,7.571759045680562,7.571759045780562,7.956719465790992,7.956719465890992,8.339067535375117,8.339067535475117,8.718191853245928,8.718191853345928,9.097093843412374,9.097093843512374,9.475440014317904,9.475440014417904,9.84878381187519,9.84878381197519,10.217569891492964,10.217569891592964,10.585911315702006,10.585911315802006,10.94636010640604,10.94636010650604,11.293635980626364,11.293635980726364,11.639800216324856,11.639800216424856,11.980684169044647,11.980684169144647,12.316232256859644,12.316232256959644,12.64583307858284,12.64583307868284,12.973155041336279,12.973155041436279,13.293640427180451,13.293640427280451,13.611680208276594,13.611680208376594,13.928386023146537,13.928386023246537,14.239311317702954,14.239311317802954,14.537675096962671,14.537675097062671,14.832481632952524,14.832481633052524,15.123175106411598,15.123175106511598,15.410867155861725,15.410867155961725,15.690610989880755,15.690610989980755,15.969465513082318,15.969465513182318,16.246819324279407,16.246819324379405,16.524006389698222,16.52400638979822,16.800582053930032,16.80058205403003,17.07693539045747,17.07693539055747,17.352899653502273,17.35289965360227,17.625751328685944,17.62575132878594,17.897380201495597,17.897380201595595,18.160393875761056,18.160393875861054,18.420684035648023,18.42068403574802,18.679918138939254,18.679918139039252,18.935428253182344,18.935428253282343,19.189326491568778,19.189326491668776,19.439278413202707,19.439278413302706,19.68889684328009,19.68889684338009,19.937181307131272,19.93718130723127,20.185410189056363,20.18541018915636,20.431471375863882,20.43147137596388,20.677476980745308,20.677476980845306,20.923371421774554,20.923371421874553,21.166709094203583,21.16670909430358,21.409657693149974,21.409657693249972,21.652106054761536,21.652106054861534,21.89410976096437,21.894109761064367,22.134223681680087,22.134223681780085,22.374004110839255,22.374004110939254,22.61333988458969,22.613339884689687,22.85262007641403,22.85262007651403,23.09023281045563,23.090232810555626,23.327234143310214,23.327234143410212,23.563512911125613,23.56351291122561,23.797457238045162,23.79745723814516,24.028400140955764,24.028400141055762,24.25700860297052,24.257008603070517,24.484894499946087,24.484894500046085,24.711557594547635,24.711557594647633,24.93660881329253,24.936608813392528,25.160326065811223,25.16032606591122,25.382931679808088,25.382931679908086,25.605314966100583,25.60531496620058,25.82736476083653,25.82736476093653,26.045190329189516,26.045190329289515,26.261848677094576,26.261848677194575,26.477395386477806,26.477395386577804,26.68960718029554,26.689607180395537,26.901151991000173,26.90115199110017,27.110862598143786,27.110862598243784,27.319739476396023,27.31973947649602,27.52856077272217,27.528560772822168,27.7368262497874,27.736826249887397,27.944924981074355,27.944924981174353,28.152412311174302,28.1524123112743,28.35962173164379,28.35962173174379,28.565886259369723,28.56588625946972,28.772039623243472,28.77203962334347,28.977526004004122,28.97752600410412,29.181289345055934,29.181289345155932,29.38427453914246,29.38427453924246,29.584814128480957,29.584814128580955,29.782685785367057,29.782685785467056,29.980223950696608,29.980223950796606,30.17531651127813,30.175316511378128,30.370019998377007,30.370019998477005,30.56411208428888,30.564112084388878,30.75714811360501,30.757148113705007,30.949517159808043,30.94951715990804,31.141274804824068,31.141274804924066,31.33236546672699,31.33236546682699,31.523011473221185,31.523011473321183,31.90124648027453,31.901246480374528,32.08727918690312,32.08727918700312,32.27214467308379,32.27214467318379,32.45645434000353,32.456454340103534,32.64026376958846,32.64026376968846,32.8239620353212,32.823962035421204,33.00571493364074,33.00571493374074,33.1866341030689,33.1866341031689,33.36744210864488,33.36744210874488,33.54708289377294,33.54708289387294,33.72644576927053,33.726445769370535,33.905475153211576,33.90547515331158,34.08433779137435,34.084337791474354,34.26242228257184,34.26242228267184,34.440340027991056,34.44034002809106,34.617924281853725,34.61792428195373,34.79511946223375,34.79511946233375,34.971703241426766,34.97170324152677,35.14795352906323,35.14795352916323,35.32359241551269,35.323592415612694,35.49878664655342,35.49878664665342,35.67375854988978,35.673758549989785,35.847785560482585,35.84778556058259,36.021701407223205,36.02170140732321,36.19528376240728,36.19528376250728,36.368087970626064,36.368087970726066,36.53972495839693,36.53972495849693,36.7106393811286,36.7106393812286,36.88099798459936,36.88099798469936,37.050800768809204,37.050800768909205,37.21949191449721,37.219491914597214,37.387905150554765,37.38790515065477,37.555984895055765,37.55598489515577,37.72323091066539,37.723230910765395,37.88986552508801,37.889865525188014,38.05627781180627,38.05627781190627,38.22174520578096,38.221745205880964,38.386378870864284,38.386378870964286,38.54984531549969,38.54984531559969,38.71292268665245,38.71292268675245,38.87511074698774,38.87511074708774,39.19859755684086,39.19859755694086,39.359673978654314,39.359673978754316,39.5205836546895,39.520583654789505,39.68082634761159,39.680826347711594,39.84084671282931,39.84084671292931,40.00075591419485,40.00075591429485,40.16044278785601,40.160442787956015,40.31962942418236,40.31962942428236,40.4782046593217,40.4782046594217,40.636168493274035,40.636168493374036,40.79390999952199,40.793909999621995,40.950706613026405,40.95070661312641,41.10733648075254,41.10733648085254,41.263577274996024,41.263577275096026,41.41920666805251,41.41920666815251,41.57472489725681,41.57472489735681,41.7296317252741,41.729631725374105,41.88331575091738,41.883315751017385,42.03666628500411,42.03666628510411,42.18979449138647,42.189794491486474,42.34270037006446,42.342700370164465,42.495328339112,42.495328339212,42.64778956238126,42.647789562481265,42.798750073646055,42.798750073746056,42.94904360179774,42.94904360189774,43.09905922031897,43.09905922041897,43.24851901957929,43.24851901967929,43.39747858150478,43.39747858160478,43.54604906994763,43.54604907004763,43.694452812612205,43.69445281271221,43.84268980949851,43.84268980959851,43.99064889675435,43.99064889685435,44.13816332860146,44.13816332870146,44.28562217852247,44.285622178622475,44.43119124295638,44.43119124305638,44.57653797968592,44.57653797978592,44.72138447908063,44.721384479180635,44.86606423269707,44.86606423279707,45.00979909356995,45.009799093669955,45.15164416895571,45.151644169055714,45.29343366241539,45.29343366251539,45.43488966431852,45.43488966441852,45.57551193733027,45.57551193743027,46.13777870167291,46.13777870177291,46.41830068265722,46.41830068275722,46.557866899073225,46.55786689917323,46.69721078778487,46.69721078788487,46.836165603013875,46.836165603113876,46.97500925439069,46.97500925449069,47.11351941421096,47.113519414310964,47.25191841017905,47.25191841027905,47.38976158688622,47.389761586986225,47.52710452625857,47.52710452635857,47.66428071985264,47.66428071995264,47.79906689062477,47.799066890724774,47.93296375057944,47.93296375067944,48.06630479127319,48.06630479137319,48.19909001270603,48.19909001280603,48.33181965221277,48.331819652312774,48.46443812786733,48.464438127967334,48.59622287463052,48.59622287473052,48.72795203946762,48.72795203956762,48.85918096696989,48.85918096706989,48.98957616558078,48.98957616568078,49.11958229070903,49.119582290809035,49.249421670059014,49.249421670159016,49.37881639400027,49.37881639410027,49.50787762638496,49.50787762648496,49.63688327684357,49.63688327694357,49.76566659959781,49.76566659969781,49.89433875849986,49.894338758599865,50.02267742584537,50.022677425945375,50.150404692003875,50.150404692103876,50.27690915578836,50.27690915588836,50.403302455720656,50.40330245582066,50.527861552091935,50.527861552191936,50.651975993054485,50.65197599315449,50.77547903283002,50.77547903293002,50.89887090875337,50.898870908853375,51.02176254734191,51.02176254744191,51.14420953052171,51.14420953062171,51.266434185997134,51.266434186097136,51.38860325954647,51.38860325964647,51.51066116924363,51.510661169343635,51.632441169310326,51.63244116941033,51.75394325974657,51.75394325984657,51.875223022478444,51.875223022578446,51.99644720328423,51.99644720338423,52.11700440097691,52.11700440107691,52.23650554207385,52.23650554217385,52.3552841181316,52.3552841182316,52.47367362070671,52.473673620806714,52.59189637750355,52.591896377603554,52.7100079704482,52.710007970548205,52.827563744131936,52.82756374423194,52.94461928048085,52.94461928058085,53.061452489125394,53.061452489225395,53.17795220621339,53.17795220631339,53.294340759449206,53.29434075954921,53.41006232957192,53.41006232967192,53.640727322852065,53.64072732295207,53.755226090600765,53.755226090700766,53.86966927642337,53.869669276523375,54.21260976040855,54.21260976050855,54.325552234226684,54.325552234326686,54.43838354419263,54.438383544292634,54.66387941834626,54.663879418446264,54.77598816327302,54.77598816337302,54.887985744347596,54.8879857444476,54.9998165796439,54.9998165797439,55.11153625108802,55.11153625118802,55.22253335749294,55.222533357592944,55.33303022656305,55.33303022666305,55.442415457111316,55.44241545721132,55.55135603225086,55.55135603235086,55.6602410254643,55.660241025564304,55.76895927289947,55.768959272999474,55.98600669428718,55.98600669438718,56.093835630904884,56.093835631004886,56.201164330187765,56.20116433028777,56.415654982975255,56.41565498307526,56.5225946087755,56.5225946088755,56.629478652649645,56.62947865274965,56.735306639928055,56.73530664002806,56.84030089831509,56.840300898415094,56.94512841092385,56.94512841102385,57.04990034160652,57.04990034170652,57.15461669036309,57.154616690463094,57.259277457193576,57.25927745729358,57.36377147824579,57.36377147834579,57.46793200774145,57.467932007841455,57.571814627606656,57.57181462770666,57.67558608361967,57.67558608371967,57.77919079385442,57.77919079395442,57.88273992216307,57.88273992226307,58.089782596854285,58.08978259695429,58.19155310352801,58.19155310362801,58.292878954793,58.292878954893,58.394149224131894,58.394149224231896,58.4953639115447,58.4953639116447,58.69762654059203,58.697626540692035,58.89938893230455,58.89938893240455,59.000047800456436,59.00004780055644,59.20103204520367,59.20103204530367,59.30130183987292,59.30130183997292,59.401516052616074,59.401516052716076,59.6018888961763,59.6018888962763,59.701769617362906,59.70176961746291,59.80153917469733,59.801539174797334,59.90108640432739,59.90108640442739,60.00013339662262,60.000133396722624,60.098624569656934,60.098624569756936,60.19706016076516,60.19706016086516,60.2954401699473,60.2954401700473,60.39343110564679,60.39343110574679,60.49136645942019,60.491366459520194,60.686570183853895,60.6865701839539,60.782782497918454,60.782782498018456,60.8784389927221,60.878438992822105,60.9737619959692,60.9737619960692,61.06736195950746,61.06736195960746,61.16085075919353,61.16085075929353,61.25422839502742,61.25422839512742,61.440928084769105,61.44092808486911,61.53402781097254,61.53402781107254,61.6269052094716,61.6269052095716,61.71944911641412,61.71944911651412,61.81177069565227,61.81177069575227,61.903981111038235,61.903981111138236,62.088179614105805,62.088179614205806,62.17972304637867,62.17972304647867,62.27109973287326,62.27109973297326,62.36242083744176,62.36242083754176,62.4535196143059,62.4535196144059,62.54450722731785,62.54450722741785,62.635383676477616,62.63538367657762,62.81702541094497,62.81702541104497,62.907735114326464,62.907735114426465,62.997722252668765,62.99772225276877,63.087653809084976,63.08765380918498,63.177474201649005,63.17747420174901,63.26707226650866,63.267072266608665,63.356559167516146,63.35655916761615,63.53453249486145,63.534532494961454,63.62279659349491,63.62279659359491,63.79888013535311,63.79888013545311,63.88647725087347,63.88647725097347,63.973852038689465,63.97385203878947,64.06117124457937,64.06117124467937,64.14821254083883,64.14821254093883,64.23480918168954,64.23480918178954,64.32135024061415,64.32135024071415,64.58069550775757,64.58069550785757,64.66662516549519,64.66662516559519,64.75244365938062,64.75244365948062,64.83815098941386,64.83815098951386,64.92380273752103,64.92380273762103,65.00923215792382,65.00923215802382,65.09455041447443,65.09455041457443,65.2647422721669,65.2647422722669,65.3495047094566,65.3495047095566,65.4342115648202,65.4342115649202,65.51875167440552,65.51875167450552,65.60240247317338,65.60240247327339,65.68599769001516,65.68599769011516,65.76953732493082,65.76953732503083,65.84690736605033,65.84690736615033,65.9132721858037,65.91327218590371,65.97113297086507,65.97113297096507,66.00198093984591,66.00198093994591,66.01776620685592,66.01776620695593],[0.0,1e-10,4.243124237832839,4.243124237932839,6.86392321690402,6.86392321700402,9.475495596243995,9.475495596343995,12.00302810333347,12.00302810343347,14.264267602518084,14.264267602618084,16.516780739306316,16.516780739406315,18.615387522746904,18.615387522846902,20.55947655165284,20.559476551752837,22.273122914983,22.273122915082997,23.869880487742517,23.869880487842515,25.435289854186376,25.435289854286374,26.968183793866647,26.968183793966645,28.415259239661484,28.415259239761482,29.843381248659085,29.843381248759083,31.203026324711836,31.203026324811834,32.561003942981834,32.561003943081836,33.8318846830663,33.8318846831663,35.0575217353122,35.0575217354122,36.27954596236214,36.279545962462144,37.49228800775479,37.49228800785479,38.643056205555304,38.643056205655306,39.7694239378016,39.7694239379016,40.886120414907964,40.886120415007966,41.98797651774787,41.98797651784787,43.0664882116293,43.0664882117293,44.118542908691126,44.11854290879113,45.14547457515955,45.14547457525955,46.16156776604011,46.16156776614011,47.16999065112003,47.16999065122003,48.173966982112624,48.173966982212626,49.14053667684557,49.14053667694557,50.104771930682666,50.10477193078267,51.00347609365777,51.00347609375777,51.891008289488454,51.891008289588456,52.76208823519603,52.762088235296034,53.6166603488544,53.616660348954404,54.4511673871937,54.4511673872937,55.238596534133414,55.238596534233416,56.01040715984139,56.010407159941394,56.76548762579579,56.765487625895794,57.514509661806215,57.51450966190622,58.25602813779427,58.25602813789427,58.97953806972864,58.97953806982864,59.69737864520167,59.69737864530167,60.40588145709131,60.40588145719131,61.11310588468084,61.11310588478084,61.79487379012043,61.79487379022043,62.45385310586245,62.45385310596245,63.11105379996954,63.11105380006954,63.768087748298356,63.76808774839836,64.41672882578735,64.41672882588735,65.04624972070083,65.04624972080083,65.66070791364348,65.66070791374348,66.25171053377547,66.25171053387547,66.8398784756768,66.8398784757768,67.42365544541688,67.42365544551689,68.00187422254781,68.00187422264781,68.57937043463954,68.57937043473954,69.14663957233043,69.14663957243043,69.70540467532929,69.70540467542929,70.25561016171005,70.25561016181005,70.78980805337643,70.78980805347643,71.3221717414818,71.3221717415818,71.85297913565658,71.85297913575658,72.38106301545288,72.38106301555288,72.90080960633546,72.90080960643546,73.4146645130523,73.4146645131523,73.92640730657767,73.92640730667767,74.43664938809857,74.43664938819857,74.93777603374045,74.93777603384045,75.43217726632524,75.43217726642524,75.90934810182164,75.90934810192164,76.37968236040876,76.37968236050877,76.84968312743935,76.84968312753935,77.31290289948676,77.31290289958676,77.7606708960807,77.7606708961807,78.20766074570935,78.20766074580935,78.6501484593246,78.6501484594246,79.06534544722885,79.06534544732885,79.47315003896293,79.47315003906293,79.87778646090979,79.87778646100979,80.28108891663045,80.28108891673045,80.6684949414889,80.6684949415889,81.05517840130818,81.05517840140818,81.43430271917899,81.43430271927899,81.8034778722794,81.8034778723794,82.16581644847055,82.16581644857055,82.52459778139183,82.52459778149183,82.88037769030417,82.88037769040417,83.23476805106422,83.23476805116422,83.58515651314568,83.58515651324568,83.92837490676132,83.92837490686132,84.26509021502424,84.26509021512425,84.60108295824797,84.60108295834797,84.93329613049747,84.93329613059747,85.25428175367647,85.25428175377647,85.57232153477261,85.57232153487261,85.88635941719015,85.88635941729015,86.19900775145541,86.19900775155541,86.50848791593344,86.50848791603345,86.81491107447644,86.81491107457644,87.11783257167568,87.11783257177568,87.40930419210002,87.40930419220003,87.69721856925453,87.69721856935453,87.98079755617387,87.98079755627387,88.24686823637437,88.24686823647437,88.49809854230841,88.49809854240841,88.74543811341603,88.74543811351603,88.98716390998841,88.98716391008841,89.22616619218229,89.22616619228229,89.4643903274109,89.4643903275109,89.69916838322182,89.69916838332182,89.93066710539334,89.93066710549334,90.15610739762087,90.15610739772087,90.37993581399175,90.37993581409175,90.60248584606252,90.60248584616252,90.81391949291498,90.81391949301498,91.02401917354122,91.02401917364122,91.23106184823244,91.23106184833244,91.43243516646231,91.43243516656231,91.63341941120954,91.63341941130955,91.82300936110799,91.823009361208,92.01176558211507,92.01176558221508,92.19668665022182,92.19668665032182,92.37777256542826,92.37777256552826,92.5548565819561,92.5548565820561,92.72721613476617,92.72721613486617,92.89551820697153,92.89551820707153,93.06370911532471,93.06370911542471,93.22973232856033,93.22973232866033,93.39225388045217,93.39225388055218,93.54510417720407,93.54510417730407,93.69712074506461,93.69712074516461,93.84813683825548,93.84813683835549,93.99843036640718,93.99843036650718,94.14555572477164,94.14555572487164,94.28623357970949,94.28623357980949,94.42524397686458,94.42524397696458,94.56330948127612,94.56330948137612,94.70004101946145,94.70004101956145,94.83199251200291,94.83199251210291,94.96160956364854,94.96160956374854,95.08327839986305,95.08327839996305,95.2014455747338,95.2014455748338,95.3172783087087,95.3172783088087,95.43127683912256,95.43127683922256,95.54438605871897,95.54438605881897,95.65510525549344,95.65510525559344,95.76404583063298,95.76404583073298,95.87204151302896,95.87204151312896,95.96397401878447,95.96397401888447,96.04895878377853,96.04895878387853,96.1324984186942,96.1324984187942,96.16845992487546,96.16845992497547,96.1994190577085,96.1994190578085],[0.0,1e-10,15.031353764508273,15.031353764608273,24.98729952988807,24.987299529988068,34.096232323557956,34.09623232365796,43.14619269364465,43.14619269374465,50.67348619845193,50.673486198551934,56.54855136826028,56.54855136836028,62.138147765662154,62.138147765762156,67.30554385247223,67.30554385257223,71.87949171440228,71.87949171450228,76.32215506690396,76.32215506700396,80.56816956489357,80.56816956499357,83.91181149278601,83.91181149288602,87.17830570726333,87.17830570736334,89.57005156891103,89.57005156901103,91.31632452285696,91.31632452295696,92.8355453087187,92.8355453088187,94.2053618772462,94.2053618773462,95.39953955932425,95.39953955942426,96.18029887513298,96.18029887523298,96.93632423383094,96.93632423393095,97.66555910415275,97.66555910425275,98.26039687718506,98.26039687728506,98.57304521145032,98.57304521155032,98.73901284275985,98.73901284285985,98.86401659453985,98.86401659463985,98.9676213047746,98.9676213048746],[0.0,1e-10,4.956351513440265,4.956351513540265,8.431444696539359,8.431444696639359,11.774197313614348,11.774197313714348,15.054753755392836,15.054753755492836,17.97769608469796,17.97769608479796,20.778413758527655,20.778413758627654,23.3676977855049,23.3676977856049,25.90162221409491,25.90162221419491,27.970492667076492,27.97049266717649,29.952377405724715,29.952377405824713,31.902858356131187,31.902858356231185,33.79003149271932,33.790031492819324,35.61573101905015,35.615731019150154,37.43831795751984,37.438317957619844,39.15735576768089,39.15735576778089,40.86355415291477,40.863554153014775,42.53095635373672,42.53095635383672,43.92823039375348,43.92823039385348,45.27698141229228,45.27698141239228,46.58093339840124,46.580933398501244,47.84197613756749,47.841976137667494,49.00580608799953,49.00580608809953,50.14284555005541,50.142845550155414,51.257818987452936,51.25781898755294,52.37190311403299,52.37190311413299,53.43924284077001,53.43924284087001,54.4875735487837,54.4875735488837,55.47909952833177,55.479099528431775,56.46228821896611,56.46228821906611,57.44153059284794,57.44153059294794,58.38075397994382,58.38075398004382,59.30902772759965,59.30902772769965,60.2345223789509,60.2345223790509,61.14245314165721,61.14245314175721,61.958395816681914,61.958395816781916,62.75905346203143,62.75905346213143,63.51685744236432,63.51685744246432,64.25365145463459,64.2536514547346,64.97638323960368,64.97638323970368,65.69672500175083,65.69672500185084,66.38894230929563,66.38894230939563,67.0628731631563,67.0628731632563,67.70923538167553,67.70923538177553,68.34248026563714,68.34248026573714,68.97522491226393,68.97522491236393,69.60380091443385,69.60380091453385,70.22854176370345,70.22854176380345,70.83216148105824,70.83216148115824,71.4161051965766,71.4161051966766,71.99721423386428,71.99721423396429,72.54391805890128,72.54391805900129,73.0751145265587,73.07511452665871,73.57057181573924,73.57057181583924,74.05641343170593,74.05641343180594,74.52180089887091,74.52180089897091,74.95978647647273,74.95978647657273,75.39488179391778,75.39488179401778,75.82158424052301,75.82158424062301,76.23516935257061,76.23516935267061,76.64519722134835,76.64519722144836,77.05483601664345,77.05483601674345,77.45669334228573,77.45669334238573,77.84882383086197,77.84882383096198,78.23361750519413,78.23361750529413,78.58350572994075,78.58350573004076,78.91571890219026,78.91571890229027,79.24726509132667,79.24726509142667,79.57036282769714,79.57036282779714,79.8816771957362,79.8816771958362,80.1780956075827,80.1780956076827,80.45305939595787,80.45305939605787,80.72068637008891,80.72068637018891,80.9862012310285,80.9862012311285,81.24348996690652,81.24348996700652,81.48154735635686,81.48154735645686,81.71187885808044,81.71187885818044,81.93687449489924,81.93687449499924,82.15636752103498,82.15636752113498,82.32972754851468,82.32972754861468,82.49436121359801,82.49436121369801,82.65688276548985,82.65688276558986,82.81923757160341,82.81923757170341,82.97809071637322,82.97809071647322,83.12727260600307,83.12727260610308,83.27417563666317,83.27417563676318,83.41568722049239,83.41568722059239,83.55542018268667,83.55542018278668,83.68687143789332,83.68687143799332,83.80081438638109,83.8008143864811,83.91147800122947,83.91147800132947,84.02169696066912,84.02169696076912,84.12980380691728,84.12980380701728,84.23457573759995,84.23457573769996,84.33712439123896,84.33712439133896,84.43578231005155,84.43578231015155,84.52960460129417,84.52960460139417,84.62103686971486,84.62103686981486,84.71185773694853,84.71185773704853,84.7993992705428,84.79939927064281,84.88393938012813,84.88393938022813,84.96820158008299,84.96820158018299,85.049517937955,85.049517938055,85.11560484807792,85.11560484817792,85.17257632232182,85.17257632242182,85.22248889195207,85.22248889205207,85.26895538216465,85.26895538226465,85.30891878702451,85.30891878712451,85.34571402209716,85.34571402219716,85.38028598012613,85.38028598022613,85.41469119237682,85.41469119247682,85.44253773734872,85.44253773744872,85.4658821463072,85.4658821464072,85.48778142518728,85.48778142528728,85.50712393546716,85.50712393556717],[0.0,1e-10,1.5481233874293692,1.5481233875293692,2.9083242827430347,2.9083242828430347,4.208552279803863,4.208552279903863,5.449029706316219,5.449029706416219,6.678946566871171,6.678946566971171,7.836662505433133,7.836662505533133,8.964530949683905,8.964530949783905,10.042987061639245,10.042987061739245,11.106380471623758,11.106380471723758,12.08667890210133,12.08667890220133,13.052192540238535,13.052192540338535,14.012370313470948,14.012370313570948,14.915409866681193,14.915409866781193,15.784210953419011,15.784210953519011,16.616383550862466,16.616383550962464,17.423044044229872,17.42304404432987,18.19730027468588,18.197300274785878,18.92770236545561,18.927702365555607,19.646598997524382,19.64659899762438,20.359715109279623,20.35971510937962,21.058102010620594,21.058102010720592,21.738480367907886,21.738480368007885,22.411132837468443,22.41113283756844,23.078782933680756,23.078782933780754,23.73637270127049,23.736372701370488,24.386347744985677,24.386347745085676,25.032543217726634,25.032543217826632,25.657450812774506,25.657450812874504,26.278967910330792,26.27896791043079,26.893815176756082,26.89381517685608,27.492321356910445,27.492321357010443,28.08738145764713,28.087381457747128,28.6765498742181,28.6765498743181,29.26149406440611,29.26149406450611,29.843714740215635,29.843714740315633,30.416375324737402,30.4163753248374,30.982254914275995,30.982254914375993,31.543854695505534,31.543854695605532,32.105287730956796,32.1052877310568,32.66077350031626,32.66077350041626,33.2150920492278,33.2150920493278,33.76474171634764,33.764741716447645,34.3037196536579,34.3037196537579,34.8285241998148,34.8285241999148,35.33437530917446,35.33437530927446,35.83867012460356,35.83867012470356,36.339741188319344,36.339741188419346,36.83764408224791,36.837644082347914,37.33165624135006,37.33165624145006,37.813273630933786,37.81327363103379,38.293723800069586,38.29372380016959,38.773618149944475,38.77361815004448,39.25273435285408,39.25273435295408,39.70978453110531,39.709784531205315,40.16294397453014,40.16294397463014,40.60843311215432,40.608433112254325,41.04286144648628,41.04286144658628,41.47623372422249,41.47623372432249,41.909494838106525,41.90949483820653,42.338476143681504,42.338476143781506,42.76445602524753,42.764456025347535,43.18193187212155,43.181931872221554,43.59362719868204,43.593627198782045,44.00437763249897,44.004377632598974,44.41018127489375,44.410181274993754,44.80375689354838,44.803756893648384,45.19555389056808,45.19555389066808,45.5839048081701,45.5839048082701,45.96880964635444,45.96880964645444,46.351935862903844,46.351935863003845,46.73283880240959,46.73283880250959,47.09239828229616,47.09239828239616,47.43928508303384,47.43928508313384,47.77388827810528,47.773888278205284,48.107324252728795,48.107324252828796,48.434312723925686,48.43431272402569,48.76041188430511,48.76041188440511,49.08639988083235,49.086399880932355,49.411109493059485,49.411109493159486,49.73492979446915,49.734929794569155,50.057027056169986,50.05702705626999,50.37773476971852,50.377734769818524,50.696830607410405,50.69683060751041,51.014147823467354,51.014147823567356,51.32901943477628,51.32901943487628,51.635442593319276,51.63544259341928,51.94142109645354,51.94142109655354,52.24695494417907,52.246954944279075,52.549987605230484,52.549987605330486,52.85035233382949,52.85035233392949,53.14699307338037,53.146993073480374,53.442077519000684,53.442077519100685,53.73682847306444,53.736828473164444,54.03002313319764,54.03002313329764,54.31699261760858,54.31699261770858,54.60173882497585,54.60173882507585,54.88403942759509,54.88403942769509,55.16617328443606,55.166173284536065,55.44808481357266,55.448084813672665,55.72521629706539,55.72521629716539,56.00084706855364,56.00084706865364,56.27525503766787,56.27525503776787,56.54766205744281,56.54766205754281,56.818568365213274,56.818568365313276,57.088085124831444,57.088085124931446,57.35593442666688,57.35593442676688,57.623172327315295,57.6231723274153,57.88996557255498,57.88996557265498,58.15548043349456,58.15548043359456,58.41315824285522,58.41315824295522,58.66977999562015,58.66977999572015,58.926290584532886,58.92629058463289,59.17879927476703,59.17879927486703,59.429862834922794,59.429862835022796,59.679981502334996,59.679981502435,59.925598033733785,59.925598033833786,60.16876896038454,60.16876896048454,60.408938463026345,60.40893846312635,60.648830056037696,60.6488300561377,60.88827699364032,60.88827699374032,61.12739043968639,61.12739043978639,61.363391297871324,61.363391297971326,61.596835387456046,61.59683538755605,61.82922342044503,61.829223420545034,62.05783188245979,62.05783188255979,62.28505079632225,62.285050796422254,62.508601303062676,62.50860130316268,62.73204064595091,62.73204064605091,62.95303438409112,62.95303438419112,63.17274973793122,63.17274973803122,63.39090879784075,63.39090879794075,63.6083452927111,63.6083452928111,63.82055708652883,63.82055708662883,64.02965629248544,64.02965629258544,64.23297497812851,64.23297497822851,64.43445946021056,64.43445946031056,64.63444323028814,64.63444323038814,64.83103650287414,64.83103650297414,65.02668488271658,65.02668488281658,65.22222209870684,65.22222209880684,65.41720349543617,65.41720349553617,65.61129558134805,65.61129558144805,65.80438719259027,65.80438719269027,65.9973676399803,65.9973676400803,66.18845830188323,66.18845830198323,66.37949338186006,66.37949338196006,66.5704728799108,66.5704728800108,66.7604519032919,66.7604519033919,66.94948603392943,66.94948603402943,67.13490733937101,67.13490733947101,67.31710489309928,67.31710489319929,67.49924686490147,67.49924686500147,67.680999763221,67.680999763321,67.8615854410926,67.8615854411926,68.04078157081193,68.04078157091193,68.21808791504414,68.21808791514414,68.39383796534578,68.39383796544578,68.56847637712559,68.5684763772256,68.74144733112266,68.74144733122266,68.91347339237616,68.91347339247616,69.08488805244266,69.08488805254267,69.2560248028787,69.2560248029787,69.42499385819717,69.42499385829717,69.59362942195908,69.59362942205908,69.76187591223837,69.76187591233837,69.92867727243926,69.92867727253926,70.09503397723142,70.09503397733143,70.26072369891048,70.26072369901048,70.42496829051116,70.42496829061116,70.58593354847244,70.58593354857244,70.90664126202098,70.90664126212098,71.06560557064296,71.06560557074296,71.2241808057823,71.2241808058823,71.38214463973463,71.38214463983464,71.53838543397812,71.53838543407812,71.69429273666506,71.69429273676506,71.84842141771708,71.84842141781708,72.00249451684299,72.00249451694299,72.15551155937317,72.15551155947317,72.3074725453076,72.3074725454076,72.45926678546377,72.45926678556377,72.60978264131982,72.60978264141983,72.75746381894521,72.75746381904521,72.90364428456613,72.90364428466613,73.04710123580854,73.04710123590854,73.18983562201177,73.18983562211177,73.33229209858455,73.33229209868455,73.47452624745296,73.47452624755296,73.61548201202126,73.61548201212126,73.75627103081129,73.7562710309113,73.89266907744008,73.89266907754008,74.02867805058622,74.02867805068622,74.16424236832364,74.16424236842364,74.29713875360865,74.29713875370865,74.42814535340656,74.42814535350657,74.55792915083045,74.55792915093045,74.6872682928456,74.6872682929456,74.8163295252303,74.8163295253303,74.94500168413236,74.94500168423237,75.07328476955178,75.07328476965178,75.20117878148855,75.20117878158855,75.32890604764705,75.32890604774705,75.45541051143154,75.45541051153154,75.57574538141985,75.57574538151985,75.69563559599943,75.69563559609944,75.81519231902247,75.81519231912247,75.93358182159758,75.93358182169759,76.047913843568,76.047913843668,76.16130097279488,76.16130097289488,76.27463252009565,76.27463252019565,76.38668568309632,76.38668568319632,76.49568184016195,76.49568184026195,76.60378868641011,76.60378868651011,76.70989458331897,76.70989458341897,76.81583373444957,76.81583373454957,77.02548875966708,77.02548875976709,77.12837090486263,77.12837090496264,77.23008582961027,77.23008582971028,77.33130051702308,77.33130051712308,77.43151472976623,77.43151472986624,77.53039497628319,77.53039497638319,77.62755218309131,77.62755218319131,77.72237494900358,77.72237494910358,77.81658631372885,77.81658631382885,77.91057535074974,77.91057535084974,78.00345274924881,78.00345274934881,78.09532967307823,78.09532967317823,78.18676194149892,78.18676194159892,78.27769397258477,78.27769397268477,78.36706970974006,78.36706970984007,78.45633428304318,78.45633428314318,78.54526536478974,78.54526536488974,78.63391853690584,78.63391853700584,78.72146007050011,78.72146007060012,78.80777880172037,78.80777880182038,78.89309705827098,78.89309705837098,78.9783597328955,78.9783597329955,79.06328891596347,79.06328891606347,79.13743520536966,79.13743520546966,79.20707935876243,79.20707935886243,79.27322185081144,79.27322185091144,79.33658524655587,79.33658524665587,79.39377904850413,79.39377904860413,79.4468597879216,79.4468597880216,79.49293720465154,79.49293720475154,79.51739325213184,79.51739325223184,79.54034858760768,79.54034858770768,79.55718991121343,79.55718991131343,79.5739756528931,79.5739756529931,79.59065023072057,79.59065023082057,79.60699131699151,79.60699131709151,79.61321649271376,79.61321649281376,79.61933050458384,79.61933050468384],[0.0,1e-10,1.5273357470711104,1.5273357471711104,2.357062739766534,2.357062739866534,3.0726800381958994,3.0726800382958994,3.749389988361145,3.749389988461145,4.406201608985596,4.406201609085596,5.010154817896936,5.010154817996936,5.60282489581168,5.60282489591168,6.1883804871866985,6.1883804872866985,6.772880021965977,6.772880022065977,7.339926831952493,7.339926832052493,7.898024951838261,7.898024951938261,8.444395285318702,8.444395285418702,8.983873459963784,8.983873460063784,9.521850922604392,9.521850922704392,10.055770904640312,10.055770904740312,10.566735551200402,10.566735551300402,11.077199960425668,11.077199960525668,11.558150366896294,11.558150366996294,12.032597688014203,12.032597688114203,12.494983731170233,12.494983731270233,12.956035808100065,12.956035808200065,13.4078057033726,13.4078057034726,13.859464434792951,13.859464434892951,14.311067584287212,14.311067584387212,14.732600911765916,14.732600911865916,15.147297662335353,15.147297662435353,15.561271847865598,15.561271847965598,15.970021332343235,15.970021332443235,16.376491957851115,16.376491957951114,16.775959260671453,16.77595926077145,17.172536303335026,17.172536303435024,17.568835436368143,17.56883543646814,17.963856185101154,17.963856185201152,18.3553196905643,18.3553196906643,18.746505286396992,18.74650528649699,19.135689932890383,19.13568993299038,19.521706409596554,19.521706409696552,19.90377656955022,19.90377656965022,20.27795409599888,20.277954096098878,20.64879670688204,20.64879670698204,21.01863884309556,21.018638843195557,21.38136649276935,21.381366492869347,21.742982503921304,21.742982504021303,22.10181941876868,22.10181941886868,22.456710016863557,22.456710016963555,22.80465287419698,22.804652874296977,23.14787126781262,23.147871267912617,23.48914429401505,23.489144294115047,23.829750337104382,23.82975033720438,24.168355430854415,24.168355430954414,24.506682614973993,24.50668261507399,24.844453979832654,24.844453979932652,25.1783346098649,25.1783346099649,25.511770584488417,25.511770584588415,25.84020418576369,25.840204185863687,26.16647009192139,26.166470092021388,26.49034597525715,26.490345975357148,26.81283231044062,26.812832310540617,27.13465166251099,27.134651662610988,27.45352517249851,27.453525172598507,27.772009609003383,27.77200960910338,28.08677005646012,28.08677005656012,28.399251644947103,28.3992516450471,28.711066250320986,28.711066250420984,29.02188038102522,29.021880381125218,29.33219427439463,29.33219427449463,29.63911767027245,29.63911767037245,29.93970472657583,29.939704726675828,30.239346890135653,30.23934689023565,30.535598556203887,30.535598556303885,30.830460674119834,30.830460674219832,31.12265485958338,31.12265485968338,31.413737406525097,31.413737406625096,31.701040382492582,31.70104038259258,31.987620793420877,31.987620793520875,32.27364538508826,32.27364538518826,32.556724134672784,32.556724134772786,32.83858008188329,32.838580081983295,33.118490661680596,33.1184906617806,33.39473283435586,33.39473283445586,33.66847382035699,33.668473820456995,33.94149224131894,33.94149224141894,34.21445508035479,34.21445508045479,34.48714000976019,34.48714000986019,34.74826389853853,34.748263898638534,35.00366284892944,35.00366284902944,35.25900621739425,35.25900621749425,35.5127932919285,35.512793292028505,35.76546872794092,35.76546872804092,36.01758834469243,36.01758834479243,36.26831841329164,36.26831841339164,36.51865940840821,36.51865940850821,36.76583223373756,36.765832233837564,37.01261598558427,37.01261598568427,37.25784344350042,37.25784344360042,37.50301531949047,37.503015319590475,37.74774254007179,37.74774254017179,37.98902368123543,37.98902368133543,38.22941551158161,38.22941551168161,38.4683622118494,38.468362211949405,38.70586378203881,38.70586378213881,38.941697894445475,38.94169789454548,39.17669827796077,39.17669827806077,39.41030911332376,39.410309113423764,39.64341971135194,39.64341971145194,39.87486285159737,39.87486285169737,40.10391596902086,40.10391596912086,40.33285792259216,40.33285792269216,40.560688237641635,40.56068823774164,40.785405964829984,40.785405964929986,41.00884530771822,41.00884530781822,41.23211790482818,41.23211790492818,41.455168174233776,41.45516817433378,41.67794053400891,41.67794053410891,41.89949009141004,41.89949009151004,42.12020591991978,42.120205920019785,42.33908754486851,42.339087544968514,42.55791358789114,42.557913587991145,42.77635055743114,42.77635055753114,42.993564724597114,42.993564724697116,43.21055656405873,43.21055656415873,43.42365766869393,43.42365766879393,43.63553597095511,43.63553597105511,43.84524657809872,43.84524657819872,44.05456811175969,44.054568111859695,44.26244451534228,44.26244451544228,44.468431133437754,44.468431133537756,44.67408425997668,44.67408426007668,44.87895923955032,44.87895923965032,45.08283374445431,45.082833744554314,45.28576335661475,45.28576335671475,45.48624736402716,45.48624736412716,45.68600880640037,45.686008806500375,45.885158847586574,45.885158847686576,46.08403097914233,46.08403097924233,46.28118007098924,46.28118007108924,46.47782892550132,46.47782892560132,46.673755214974214,46.673755215074216,46.868792193629645,46.86879219372965,47.063773590358984,47.063773590458986,47.25842149553177,47.25842149563177,47.452902654926284,47.452902655026286,47.64699474083815,47.646994740938155,47.84036426171083,47.840364261810834,48.03328912717478,48.033289127274784,48.22482444448644,48.22482444458644,48.41485904979363,48.41485904989363,48.60472690932254,48.60472690942254,48.79231590988169,48.79231590998169,48.97984932851475,48.979849328614755,49.167049255591266,49.16704925569127,49.353860109185135,49.35386010928514,49.540226307370276,49.54022630747028,49.725647612811855,49.72564761291186,49.905455143718186,49.90545514381819,50.082983815654764,50.082983815754766,50.6154586676123,50.6154586677123,50.791931282953136,50.79193128305314,50.966458530880764,50.966458530980766,51.14059670532575,51.14059670542575,51.31378998702718,51.31378998712718,51.48498231938931,51.48498231948931,51.65256182655549,51.65256182665549,51.81986342409121,51.81986342419121,51.986720366218194,51.986720366318195,52.15302148908427,52.15302148918427,52.31876679268942,52.318766792789425,52.482566728881366,52.48256672898137,52.64569968196022,52.64569968206022,52.808777053112976,52.80877705321298,52.971076277300455,52.971076277400456,53.132652936448736,53.13265293654874,53.29233981010991,53.29233981020991,53.45197110184499,53.45197110194499,53.61121332009743,53.61121332019743,53.77012204679331,53.77012204689331,53.92719656992818,53.92719657002818,54.0838820195804,54.0838820196804,54.23978932226734,54.23978932236734,54.39547429724992,54.39547429734992,54.550936944528125,54.55093694462813,54.70628842795415,54.70628842805415,54.86136200174972,54.86136200184972,55.016324411693105,55.01632441179311,55.171231239710394,55.171231239810396,55.32508201113195,55.32508201123195,55.47804347173604,55.47804347183604,55.63017120344875,55.63017120354875,55.781576370122266,55.78157637022227,55.932870372943604,55.932870373043606,56.08366413843012,56.083664138530125,56.23412441236009,56.23412441246009,56.383806539324766,56.38380653942477,56.53332192051118,56.53332192061118,56.6820591547323,56.6820591548323,56.83051847932297,56.83051847942297,56.9785331485049,56.9785331486049,57.27400666760786,57.27400666770786,57.4212987717506,57.4212987718506,57.56836854818897,57.56836854828897,57.715215996922986,57.71521599702299,57.860896225209075,57.86089622530908,58.005798306529876,58.00579830662988,58.1505336420724,58.150533642172405,58.294157339093104,58.294157339193106,58.43683614337024,58.436836143470245,58.57934820186911,58.57934820196911,58.721749096515794,58.721749096615795,58.86409440923638,58.86409440933638,59.00555041113951,59.00555041123951,59.28829566916748,59.288295669267484,59.42825095906613,59.428250959166135,59.56765042970387,59.56765042980387,59.70693873648943,59.70693873658943,59.84550447823578,59.84550447833578,59.9830697453125,59.9830697454125,60.118411735345546,60.11841173544555,60.25214184952194,60.25214184962194,60.38548289021569,60.38548289031569,60.51860160320508,60.51860160330508,60.651609152342274,60.651609152442276,60.784338791849024,60.784338791949025,60.917012849429675,60.91701284952968,61.04946457930596,61.049464579405964,61.18097141643869,61.18097141653869,61.312089180088776,61.31208918018878,61.442984616034494,61.442984616134495,61.57382447005413,61.57382447015413,61.70444199636939,61.70444199646939,61.834448121497644,61.834448121597646,61.96389842736498,61.96389842746498,62.093237569380136,62.09323756948014,62.22213205598656,62.222132056086565,62.3509153787408,62.3509153788408,62.4793096280124,62.479309628112404,62.60742596765354,62.60742596775354,62.735375561516406,62.73537556161641,62.86326957345318,62.86326957355318,62.99005194686813,62.99005194696813,63.116445246800424,63.116445246900426,63.24239389132399,63.242393891423994,63.36767555273446,63.36767555283446,63.492623722588384,63.492623722688386,63.61557094310301,63.61557094320301,63.738462581691536,63.73846258179154,63.86124305642788,63.86124305652788,63.983967949238135,63.98396794933814,64.10652609627012,64.10652609637012,64.22897307944991,64.22897307954992,64.34986376869915,64.34986376879915,64.47003189290919,64.47003189300919,64.58953303400614,64.58953303410614,64.7088674293248,64.7088674294248,64.8260341295259,64.8260341296259,64.94147779001815,64.94147779011816,65.05686586858431,65.05686586868431,65.17203161944612,65.17203161954612,65.28653038719482,65.28653038729482,65.39941727908686,65.39941727918686,65.51219300712671,65.51219300722671,65.62435733397956,65.62435733407956,65.73646607890633,65.73646607900633,65.848519241907,65.848519242007,65.95990542179456,65.95990542189456,66.07106927397777,66.07106927407777,66.18189963460442,66.18189963470442,66.29228533982234,66.29228533992234,66.40261546311416,66.40261546321416,66.51261209484944,66.51261209494945,66.6214970880629,66.6214970881629,66.72982626201542,66.72982626211542,66.83804427211577,66.83804427221577,66.94587320873347,66.94587320883348,67.05364656342509,67.05364656352509,67.16125317233843,67.16125317243844,67.26858187162131,67.26858187172131,67.37579940705201,67.37579940715202,67.48251670514789,67.48251670524789,67.5890116755394,67.5890116756394,67.80189045247023,67.80189045257023,67.90755169397036,67.90755169407036,68.01215687887475,68.01215687897475,68.11403854940066,68.11403854950066,68.21514207296129,68.21514207306129,68.31619001459582,68.31619001469582,68.41701562852597,68.41701562862598,68.51656285815604,68.51656285825604,68.61588776008173,68.61588776018174,68.71443451504214,68.71443451514214,68.91136127918467,68.91136127928468,69.00929663295808,69.00929663305809,69.10700965902711,69.10700965912712,69.20461152124396,69.20461152134396,69.30210221960864,69.30210221970864,69.3983145336732,69.3983145337732,69.49341520921593,69.49341520931593,69.58784890164556,69.58784890174556,69.68167119288817,69.68167119298818,69.7748265010177,69.7748265011177,69.86725924410804,69.86725924420804,69.95958082334619,69.95958082344619,70.05129100139733,70.05129100149733,70.14266768789192,70.14266768799192,70.23393321053433,70.23393321063433,70.32503198739846,70.32503198749846,70.4154637811495,70.4154637812495,70.68592543351123,70.68592543361123,70.7754123345187,70.77541233461871,70.864788071674,70.864788071774,70.95366357149447,70.95366357159448,71.04248348938886,71.04248348948886,71.13113666150495,71.13113666160496,71.30744253106752,71.30744253116752,71.39442824540087,71.39442824550088,71.48135837780814,71.48135837790814,71.56723245361967,71.56723245371967,71.65232838246591,71.65232838256591,71.73664616434687,71.73664616444687,71.820463708893,71.820463708993,71.90422567151305,71.90422567161305,71.98770972450262,71.98770972460262,72.15406642929479,72.15406642939479,72.23554953294507,72.23554953304507,72.31586541614745,72.31586541624745,72.39540315238452,72.39540315248452,72.47460739706506,72.47460739716506,72.55325582248467,72.55325582258467,72.63090377323464,72.63090377333464,72.70816265050196,72.70816265060196,72.78358732420827,72.78358732430827,72.8542319522707,72.8542319523707,72.9229312129199,72.92293121301991,72.98890695919064,72.98890695929065,73.05427130427437,73.05427130437437,73.11835726505798,73.11835726515798,73.17416151885395,73.17416151895395,73.22963228109336,73.22963228119336,73.27993392420626,73.27993392430626,73.32973532998433,73.32973533008433,73.37636856597518,73.37636856607519,73.42005595988319,73.42005595998319,73.46340986223464,73.46340986233464,73.50392908635541,73.50392908645541,73.54144688646724,73.54144688656724,73.57574093486576,73.57574093496576,73.59241551269325,73.59241551279325,73.60380980754202,73.60380980764202,73.60964590978165,73.60964590988165],[0.0,1e-10,12.470527683689928,12.470527683789928,22.405630226785373,22.40563022688537,32.16014709200921,32.16014709210921,39.13273297442231,39.13273297452231,45.679505721047654,45.679505721147656,49.8001273937746,49.800127393874604,53.125316122204644,53.125316122304646,56.140246539191374,56.140246539291375,59.12127198126222,59.12127198136222,62.004806724968404,62.004806725068406,64.70169736085899,64.70169736095899,66.80291649482588,66.80291649492588,68.83287959954333,68.83287959964333,70.79909023503373,70.79909023513373,72.63040353589982,72.63040353599982,74.1479012820527,74.1479012821527,75.5959216205911,75.5959216206911,76.96562702526643,76.96562702536643,78.0352456109732,78.03524561107321,79.03744332033087,79.03744332043087,80.00506907165955,80.00506907175955,80.75403552574389,80.75403552584389,81.49032930067932,81.49032930077932,82.1642045726139,82.1642045727139,82.75659674089817,82.75659674099818,83.33976230945126,83.33976230955126,83.8709587771087,83.8709587772087,84.29766122371392,84.29766122381392,84.68979171229016,84.68979171239016,85.01644669193051,85.01644669203051,85.3222028673604,85.3222028674604,85.62384598025952,85.62384598035952,85.8894164231252,85.8894164232252,86.09368000151183,86.09368000161183,86.29688752330273,86.29688752340273,86.4915910104016,86.49159101050161,86.65844795252859,86.65844795262859,86.82391534650328,86.82391534660329,86.98849342966052,86.98849342976052,87.14912519606524,87.14912519616524,87.29491658820352,87.29491658830352,87.43998541530259,87.43998541540259,87.55131601326407,87.55131601336407,87.65725516439467,87.65725516449467,87.75202234838085,87.75202234848085,87.84601138540174,87.84601138550174,87.93983367664437,87.93983367674437,88.03065454387804,88.03065454397805,88.10791342114537,88.10791342124537,88.16532955079799,88.165329550898,88.21768772517628,88.21768772527628,88.26882309718056,88.26882309728056,88.31501167776267,88.31501167786267,88.34930572616119,88.34930572626119,88.37359502786322,88.37359502796322,88.3829883733727,88.3829883734727,88.38665678049475,88.38665678059475],[0.0,1e-10,6.9725858824131,6.9725858825131,13.787096767021687,13.787096767121687,19.386086509933047,19.386086510033046,24.493565280416377,24.493565280516375,29.5765880034194,29.576588003519397,32.85714444519789,32.85714444529789,35.88085680650709,35.88085680660709,38.89578722349381,38.895787223593814,41.7792663852739,41.7792663853739,44.368550412251146,44.36855041235115,46.94682921786225,46.946829217962254,49.213960401212574,49.213960401312576,51.40611156626533,51.40611156636533,53.20641015237229,53.206410152472294,54.92544796253333,54.925447962633335,56.42404785381509,56.42404785391509,57.91258741647426,57.91258741657426,59.36066333693875,59.36066333703875,60.7877848712667,60.7877848713667,62.15743469401594,62.15743469411594,63.42642564861329,63.42642564871329,64.68552302036633,64.68552302046633,65.94122989462778,65.94122989472778,67.14129926087155,67.14129926097155,68.2996821825466,68.2996821826466,69.45556391754755,69.45556391764755,70.56292263107052,70.56292263117052,71.63226330714683,71.63226330724683,72.6642529288896,72.6642529289896,73.59247109461934,73.59247109471934,74.45588073452627,74.45588073462628,75.29539014621382,75.29539014631382,76.08015136070114,76.08015136080114,76.82911781478546,76.82911781488546,77.56591182705573,77.56591182715573,78.28419705793749,78.28419705803749,78.95812791179816,78.95812791189816,79.58036757439363,79.58036757449364,80.16397779835545,80.16397779845545,80.7445865983083,80.7445865984083,81.30829849272934,81.30829849282934,81.7525648279795,81.7525648280795,82.19305159225544,82.19305159235545,82.61975403886066,82.61975403896066,83.0118845274369,83.0118845275369,83.31352764033602,83.31352764043602,83.57904250127561,83.57904250137561,83.83705380219281,83.83705380229281,84.08583850337882,84.08583850347883,84.29004649983936,84.29004649993936,84.47296661860683,84.47296661870683,84.63976797880773,84.63976797890773,84.80440164389104,84.80440164399104,84.96720110541335,84.96720110551335,85.1191065094217,85.1191065095217,85.26689885089927,85.26689885099927,85.41196767799833,85.41196767809834,85.5551467196103,85.55514671971031,85.69788110581354,85.69788110591354,85.82961027065063,85.82961027075063,85.94477602151242,85.94477602161243,86.05610661947391,86.05610661957391,86.15771038036935,86.15771038046935,86.25153267161198,86.25153267171198,86.34279819425439,86.34279819435439,86.43361906148806,86.43361906158806,86.52360619983037,86.52360619993037,86.61209262616819,86.6120926262682,86.69957857783638,86.69957857793638,86.7841186874217,86.7841186875217,86.86115523698466,86.86115523708466,86.92724214710758,86.92724214720758,86.97570958665945,86.97570958675945,86.98977181396063,86.98977181406063,87.00005447028757,87.00005447038757,87.00555708097063,87.00555708107063,87.0104482904667,87.0104482905667],[0.0,1e-10,10.411661977404835,10.411661977504835,20.347820577096023,20.34782057719602,27.523502817447834,27.523502817547833,34.496088699860934,34.496088699960936,41.04286144648628,41.04286144658628,45.4475623434674,45.447562343567405,49.56823959812044,49.568239598220444,52.8939841458114,52.8939841459114,55.91802999867715,55.91802999877715,58.93296041566388,58.93296041576388,61.52669099672845,61.52669099682845,64.11603060563178,64.11603060573178,66.21730532152476,66.21730532162476,68.22058910171826,68.22058910181826,70.18668857335648,70.18668857345648,72.06285648857848,72.06285648867848,73.89416978944455,73.89416978954455,75.26387519411988,75.26387519421988,76.33349377982665,76.33349377992666,77.3358026530365,77.3358026531365,78.26413198261842,78.26413198271842,79.01309843670275,79.01309843680275,79.7493922116382,79.7493922117382,80.42210026312483,80.42210026322483,81.02043969750092,81.02043969760092,81.603605266054,81.603605266154,82.13480173371144,82.13480173381144,82.56150418031666,82.56150418041666,82.9536346688929,82.9536346689929,83.33009105431132,83.33009105441133,83.63173416721044,83.63173416731044,83.89724902815003,83.89724902825003,84.10151260653666,84.10151260663666,84.30472012832755,84.30472012842755,84.46929821148478,84.46929821158479,84.61436703858386,84.61436703868387,84.72569763654533,84.72569763664534,84.82046482053151,84.82046482063151,84.91445385755242,84.91445385765242,85.00527472478609,85.00527472488609,85.06246852673435,85.06246852683435,85.11093596628622,85.11093596638622,85.1560684902726,85.1560684903726,85.18080244738337,85.18080244748337,85.19758818906303,85.19758818916303,85.2103720320641,85.2103720321641,85.2196542137214,85.2196542138214,85.22721335566986,85.22721335576986,85.23293829405729,85.2329382941573,85.23855206859254,85.23855206869254,85.24383235157124,85.24383235167124,85.24750075869329,85.2475007587933]],"coord_y":[[12134,12134,12134,10564,10564,9732,9732,9359,9359,9268,9268,8308,8308,8066,8066,7656,7656,7617,7617,7575,7575,7535,7535,7434,7434,6903,6903,6680,6680,6468,6468,6447,6447,6285,6285,6135,6135,6112,6112,6005,6005,5935,5935,5789,5789,5625,5625,5621,5621,5584,5584,5545,5545,5490,5490,5401,5401,5370,5370,5357,5357,5350,5350,5172,5172,5163,5163,5146,5146,5145,5145,5110,5110,5068,5068,4937,4937,4917,4917,4890,4890,4835,4835,4789,4789,4782,4782,4736,4736,4714,4714,4696,4696,4685,4685,4677,4677,4660,4660,4620,4620,4604,4604,4536,4536,4528,4528,4424,4424,4423,4423,4386,4386,4352,4352,4338,4338,4323,4323,4318,4318,4287,4287,4252,4252,4244,4244,4243,4243,4226,4226,4221,4221,4215,4215,4204,4204,4176,4176,4148,4148,4143,4143,4125,4125,4082,4082,4064,4064,4059,4059,4058,4058,4046,4046,4022,4022,4019,4019,4018,4018,4006,4006,3947,3947,3927,3927,3899,3899,3894,3894,3876,3876,3853,3853,3848,3848,3842,3842,3836,3836,3834,3834,3826,3826,3811,3811,3800,3800,3784,3784,3714,3714,3713,3713,3707,3707,3706,3706,3695,3695,3690,3690,3678,3678,3642,3642,3625,3625,3621,3621,3608,3608,3589,3589,3584,3584,3572,3572,3551,3551,3521,3521,3510,3510,3504,3504,3503,3503,3478,3478,3474,3474,3471,3471,3437,3437,3416,3416,3383,3383,3381,3381,3360,3360,3343,3343,3323,3323,3320,3320,3295,3295,3293,3293,3281,3281,3255,3255,3236,3236,3233,3233,3230,3230,3228,3228,3201,3201,3197,3197,3195,3195,3180,3180,3168,3168,3155,3155,3150,3150,3144,3144,3102,3102,3096,3096,3077,3077,3068,3068,3066,3066,3049,3049,3046,3046,3040,3040,3018,3018,3009,3009,3006,3006,2992,2992,2991,2991,2980,2980,2971,2971,2970,2970,2962,2962,2929,2929,2928,2928,2911,2911,2904,2904,2881,2881,2861,2861,2845,2845,2822,2822,2798,2798,2792,2792,2778,2778,2770,2770,2755,2755,2746,2746,2719,2719,2717,2717,2710,2710,2708,2708,2707,2707,2699,2699,2698,2698,2683,2683,2680,2680,2675,2675,2654,2654,2653,2653,2645,2645,2614,2614,2609,2609,2604,2604,2596,2596,2569,2569,2567,2567,2562,2562,2556,2556,2545,2545,2527,2527,2525,2525,2510,2510,2503,2503,2502,2502,2498,2498,2481,2481,2478,2478,2471,2471,2465,2465,2456,2456,2454,2454,2449,2449,2436,2436,2424,2424,2423,2423,2414,2414,2412,2412,2403,2403,2401,2401,2393,2393,2390,2390,2373,2373,2365,2365,2359,2359,2342,2342,2322,2322,2313,2313,2312,2312,2299,2299,2296,2296,2295,2295,2292,2292,2276,2276,2272,2272,2271,2271,2247,2247,2244,2244,2235,2235,2228,2228,2200,2200,2196,2196,2192,2192,2183,2183,2179,2179,2178,2178,2176,2176,2175,2175,2157,2157,2148,2148,2142,2142,2141,2141,2138,2138,2132,2132,2130,2130,2113,2113,2109,2109,2090,2090,2085,2085,2081,2081,2076,2076,2072,2072,2052,2052,2038,2038,2028,2028,2019,2019,2012,2012,2009,2009,2007,2007,2006,2006,1999,1999,1980,1980,1975,1975,1972,1972,1966,1966,1964,1964,1959,1959,1939,1939,1928,1928,1927,1927,1924,1924,1916,1916,1907,1907,1899,1899,1897,1897,1889,1889,1874,1874,1864,1864,1857,1857,1847,1847,1846,1846,1840,1840,1838,1838,1837,1837,1816,1816,1810,1810,1804,1804,1801,1801,1794,1794,1788,1788,1745,1745,1740,1740,1735,1735,1723,1723,1716,1716,1708,1708,1707,1707,1705,1705,1688,1688,1674,1674,1660,1660,1657,1657,1647,1647,1646,1646,1643,1643,1641,1641,1634,1634,1633,1633,1620,1620,1618,1618,1613,1613,1607,1607,1598,1598,1595,1595,1590,1590,1584,1584,1564,1564,1563,1563,1562,1562,1557,1557,1555,1555,1553,1553,1552,1552,1538,1538,1532,1532,1530,1530,1528,1528,1524,1524,1521,1521,1519,1519,1517,1517,1513,1513,1511,1511,1502,1502,1497,1497,1489,1489,1486,1486,1473,1473,1459,1459,1421,1421,1419,1419,1387,1387,1349,1349,1091,1091,974,974,942,942,880,880,836,836,784,784,639,639,611,611,495,495,483,483,471,471,381,381,242,242,144,144,88,88,0.0],[21384,21384,21384,21183,21183,19973,19973,15587,15587,15242,15242,15234,15234,15227,15227,15165,15165,14102,14102,13798,13798,13565,13565,13498,13498,13015,13015,12957,12957,12351,12351,12346,12346,12011,12011,11828,11828,11760,11760,11439,11439,11274,11274,11018,11018,10760,10760,10755,10755,10565,10565,10247,10247,10155,10155,10146,10146,10139,10139,9941,9941,9899,9899,9654,9654,9517,9517,9374,9374,9333,9333,9290,9290,9257,9257,9250,9250,9153,9153,8988,8988,8827,8827,8740,8740,8637,8637,8574,8574,8527,8527,8259,8259,8250,8250,8248,8248,8057,8057,7925,7925,7759,7759,7754,7754,7703,7703,7593,7593,7553,7553,7552,7552,7548,7548,7473,7473,7437,7437,7257,7257,7227,7227,7181,7181,7165,7165,7008,7008,7004,7004,6961,6961,6938,6938,6790,6790,6673,6673,6666,6666,6608,6608,6532,6532,6525,6525,6519,6519,6510,6510,6503,6503,6500,6500,6489,6489,6486,6486,6227,6227,6196,6196,6090,6090,6083,6083,5993,5993,5988,5988,5986,5986,5974,5974,5973,5973,5944,5944,5936,5936,5932,5932,5919,5919,5891,5891,5841,5841,5782,5782,5755,5755,5698,5698,5638,5638,5626,5626,5613,5613,5583,5583,5548,5548,5504,5504,5471,5471,5448,5448,5421,5421,5393,5393,5379,5379,5314,5314,5311,5311,5293,5293,5278,5278,5275,5275,5268,5268,5207,5207,5187,5187,5168,5168,5166,5166,5139,5139,5101,5101,5053,5053,5043,5043,5033,5033,5013,5013,4941,4941,4859,4859,4857,4857,4796,4796,4780,4780,4767,4767,4764,4764,4742,4742,4711,4711,4627,4627,4625,4625,4605,4605,4544,4544,4519,4519,4511,4511,4510,4510,4505,4505,4500,4500,4491,4491,4471,4471,4468,4468,4447,4447,4414,4414,4403,4403,4400,4400,4342,4342,4332,4332,4267,4267,4171,4171,4156,4156,4111,4111,4083,4083,4075,4075,4048,4048,4000,4000,3967,3967,3954,3954,3796,3796,3790,3790,3707,3707,3699,3699,3680,3680,3675,3675,3643,3643,3641,3641,3637,3637,3635,3635,3625,3625,3582,3582,3548,3548,3544,3544,3526,3526,3519,3519,3516,3516,3492,3492,3439,3439,3365,3365,3353,3353,3343,3343,3336,3336,3323,3323,3171,3171,3149,3149,3148,3148,3135,3135,3100,3100,3097,3097,3090,3090,3089,3089,3080,3080,3078,3078,3068,3068,3060,3060,3006,3006,2968,2968,2926,2926,2895,2895,2850,2850,2841,2841,2834,2834,2822,2822,2779,2779,2765,2765,2749,2749,2727,2727,2694,2694,2672,2672,2653,2653,2644,2644,2587,2587,2574,2574,2564,2564,2551,2551,2530,2530,2529,2529,2522,2522,2518,2518,2513,2513,2508,2508,2505,2505,2498,2498,2495,2495,2459,2459,2458,2458,2456,2456,2453,2453,2446,2446,2404,2404,2394,2394,2377,2377,2348,2348,2333,2333,2322,2322,2310,2310,2307,2307,2294,2294,2283,2283,2280,2280,2275,2275,2270,2270,2259,2259,2228,2228,2214,2214,2196,2196,2195,2195,2194,2194,2178,2178,2163,2163,2122,2122,2112,2112,2111,2111,2099,2099,2092,2092,2041,2041,1965,1965,1950,1950,1938,1938,1914,1914,1907,1907,1892,1892,1878,1878,1858,1858,1828,1828,1827,1827,1809,1809,1802,1802,1788,1788,1786,1786,1785,1785,1772,1772,1740,1740,1739,1739,1728,1728,1723,1723,1719,1719,1715,1715,1704,1704,1701,1701,1692,1692,1682,1682,1680,1680,1672,1672,1656,1656,1641,1641,1639,1639,1638,1638,1623,1623,1621,1621,1619,1619,1605,1605,1592,1592,1588,1588,1587,1587,1572,1572,1530,1530,1526,1526,1521,1521,1520,1520,1513,1513,1488,1488,1383,1383,1239,1239,740,740,642,642,0.0],[31396,31396,31396,29869,29869,20314,20314,17637,17637,16672,16672,16035,16035,15926,15926,13399,13399,12327,12327,12023,12023,11966,11966,11785,11785,11649,11649,11439,11439,11039,11039,11004,11004,10847,10847,10633,10633,10615,10615,10405,10405,10392,10392,10377,10377,10296,10296,10254,10254,9995,9995,9891,9891,9810,9810,9672,9672,9640,9640,9610,9610,9547,9547,9511,9511,9434,9434,9402,9402,9320,9320,9233,9233,9128,9128,9105,9105,8989,8989,8940,8940,8541,8541,8238,8238,8203,8203,8164,8164,8147,8147,8093,8093,8044,8044,8025,8025,7919,7919,7627,7627,7567,7567,7512,7512,7453,7453,7364,7364,7348,7348,7235,7235,7148,7148,7093,7093,7082,7082,6996,6996,6880,6880,6847,6847,6836,6836,6795,6795,6768,6768,6751,6751,6679,6679,6668,6668,6599,6599,6558,6558,6533,6533,6492,6492,6488,6488,6439,6439,6390,6390,6362,6362,6336,6336,6306,6306,6275,6275,6224,6224,6184,6184,6107,6107,6098,6098,6006,6006,5945,5945,5912,5912,5881,5881,5860,5860,5743,5743,5737,5737,5708,5708,5656,5656,5570,5570,5568,5568,5548,5548,5525,5525,5519,5519,5504,5504,5469,5469,5396,5396,5389,5389,5377,5377,5368,5368,5361,5361,5355,5355,5309,5309,5195,5195,5126,5126,5110,5110,5070,5070,5054,5054,5047,5047,5008,5008,4973,4973,4889,4889,4878,4878,4876,4876,4776,4776,4772,4772,4760,4760,4752,4752,4689,4689,4683,4683,4669,4669,4663,4663,4605,4605,4551,4551,4542,4542,4536,4536,4519,4519,4500,4500,4496,4496,4485,4485,4398,4398,4374,4374,4361,4361,4352,4352,4222,4222,4203,4203,4117,4117,4116,4116,4113,4113,4108,4108,4088,4088,4081,4081,4079,4079,4031,4031,3968,3968,3952,3952,3938,3938,3925,3925,3914,3914,3912,3912,3887,3887,3879,3879,3844,3844,3832,3832,3776,3776,3771,3771,3770,3770,3769,3769,3750,3750,3706,3706,3679,3679,3674,3674,3643,3643,3625,3625,3606,3606,3601,3601,3574,3574,3572,3572,3564,3564,3549,3549,3522,3522,3508,3508,3505,3505,3486,3486,3464,3464,3460,3460,3456,3456,3455,3455,3437,3437,3418,3418,3372,3372,3337,3337,3300,3300,3275,3275,3259,3259,3202,3202,3192,3192,3126,3126,3124,3124,3113,3113,3096,3096,3065,3065,3050,3050,3036,3036,3031,3031,3020,3020,3011,3011,2989,2989,2987,2987,2976,2976,2971,2971,2958,2958,2922,2922,2911,2911,2908,2908,2906,2906,2897,2897,2895,2895,2850,2850,2809,2809,2801,2801,2797,2797,2773,2773,2759,2759,2754,2754,2734,2734,2733,2733,2731,2731,2723,2723,2719,2719,2718,2718,2715,2715,2692,2692,2675,2675,2665,2665,2662,2662,2648,2648,2592,2592,2565,2565,2553,2553,2539,2539,2529,2529,2511,2511,2486,2486,2478,2478,2461,2461,2450,2450,2446,2446,2439,2439,2430,2430,2392,2392,2371,2371,2369,2369,2367,2367,2360,2360,2359,2359,2355,2355,2347,2347,2327,2327,2320,2320,2319,2319,2314,2314,2238,2238,2236,2236,2217,2217,2203,2203,2193,2193,2163,2163,2151,2151,2124,2124,2112,2112,2110,2110,2105,2105,2082,2082,2050,2050,2048,2048,2041,2041,2026,2026,2017,2017,2015,2015,2009,2009,2005,2005,1996,1996,1990,1990,1988,1988,1984,1984,1969,1969,1962,1962,1941,1941,1940,1940,1926,1926,1920,1920,1915,1915,1904,1904,1897,1897,1891,1891,1888,1888,1882,1882,1876,1876,1869,1869,1866,1866,1860,1860,1845,1845,1830,1830,1825,1825,1824,1824,1817,1817,1808,1808,1805,1805,1785,1785,1772,1772,1768,1768,1755,1755,1738,1738,1737,1737,1732,1732,1730,1730,1725,1725,1706,1706,1692,1692,1678,1678,1672,1672,1671,1671,1608,1608,1603,1603,1601,1601,1582,1582,1563,1563,1557,1557,1549,1549,1547,1547,1537,1537,1512,1512,1507,1507,1451,1451,1332,1332,455,455,0.0],[10105,10105,10105,6612,6612,6395,6395,6164,6164,5417,5417,5290,5290,5145,5145,4977,4977,4972,4972,4947,4947,4827,4827,4782,4782,4659,4659,4622,4622,4547,4547,4539,4539,4461,4461,4288,4288,4277,4277,4181,4181,4179,4179,4175,4175,4134,4134,4133,4133,4089,4089,4056,4056,4044,4044,4022,4022,4009,4009,4003,4003,4001,4001,3991,3991,3983,3983,3976,3976,3965,3965,3937,3937,3928,3928,3907,3907,3904,3904,3864,3864,3823,3823,3805,3805,3790,3790,3789,3789,3784,3784,3711,3711,3699,3699,3680,3680,3677,3677,3671,3671,3648,3648,3615,3615,3608,3608,3573,3573,3570,3570,3517,3517,3476,3476,3457,3457,3421,3421,3400,3400,3383,3383,3357,3357,3348,3348,3346,3346,3345,3345,3344,3344,3306,3306,3291,3291,3232,3232,3206,3206,3198,3198,3197,3197,3192,3192,3175,3175,3165,3165,3164,3164,3116,3116,3115,3115,3106,3106,3103,3103,3101,3101,3094,3094,3092,3092,3088,3088,3059,3059,3055,3055,3053,3053,3041,3041,3040,3040,3007,3007,2996,2996,2987,2987,2985,2985,2984,2984,2981,2981,2977,2977,2966,2966,2961,2961,2945,2945,2935,2935,2929,2929,2914,2914,2904,2904,2872,2872,2860,2860,2845,2845,2812,2812,2807,2807,2802,2802,2795,2795,2793,2793,2790,2790,2788,2788,2783,2783,2782,2782,2755,2755,2754,2754,2719,2719,2698,2698,2695,2695,2694,2694,2692,2692,2672,2672,2657,2657,2655,2655,2653,2653,2647,2647,2645,2645,2617,2617,2612,2612,2606,2606,2595,2595,2592,2592,2575,2575,2570,2570,2563,2563,2555,2555,2553,2553,2514,2514,2511,2511,2508,2508,2503,2503,2478,2478,2470,2470,2468,2468,2455,2455,2452,2452,2448,2448,2444,2444,2426,2426,2422,2422,2403,2403,2402,2402,2400,2400,2395,2395,2380,2380,2378,2378,2365,2365,2341,2341,2337,2337,2335,2335,2332,2332,2311,2311,2307,2307,2306,2306,2304,2304,2295,2295,2292,2292,2288,2288,2286,2286,2279,2279,2267,2267,2261,2261,2224,2224,2212,2212,2211,2211,2210,2210,2206,2206,2197,2197,2192,2192,2191,2191,2185,2185,2171,2171,2164,2164,2157,2157,2147,2147,2144,2144,2137,2137,2134,2134,2122,2122,2110,2110,2109,2109,2100,2100,2099,2099,2087,2087,2085,2085,2079,2079,2077,2077,2076,2076,2071,2071,2066,2066,2056,2056,2054,2054,2051,2051,2050,2050,2048,2048,2046,2046,2042,2042,2037,2037,2036,2036,2031,2031,2026,2026,2015,2015,2013,2013,2011,2011,2005,2005,2001,2001,2000,2000,1997,1997,1990,1990,1985,1985,1977,1977,1976,1976,1962,1962,1961,1961,1956,1956,1955,1955,1947,1947,1946,1946,1945,1945,1941,1941,1937,1937,1934,1934,1932,1932,1910,1910,1906,1906,1905,1905,1902,1902,1898,1898,1897,1897,1895,1895,1890,1890,1883,1883,1879,1879,1872,1872,1871,1871,1867,1867,1861,1861,1855,1855,1852,1852,1848,1848,1847,1847,1843,1843,1838,1838,1831,1831,1830,1830,1828,1828,1825,1825,1821,1821,1817,1817,1815,1815,1811,1811,1797,1797,1796,1796,1794,1794,1793,1793,1791,1791,1790,1790,1789,1789,1786,1786,1785,1785,1784,1784,1783,1783,1781,1781,1775,1775,1773,1773,1772,1772,1769,1769,1767,1767,1757,1757,1755,1755,1752,1752,1748,1748,1729,1729,1727,1727,1719,1719,1717,1717,1710,1710,1705,1705,1702,1702,1701,1701,1696,1696,1692,1692,1691,1691,1689,1689,1688,1688,1685,1685,1683,1683,1675,1675,1669,1669,1666,1666,1659,1659,1656,1656,1653,1653,1650,1650,1649,1649,1647,1647,1641,1641,1640,1640,1628,1628,1626,1626,1608,1608,1602,1602,1598,1598,1596,1596,1588,1588,1585,1585,1583,1583,1578,1578,1574,1574,1572,1572,1571,1571,1568,1568,1566,1566,1565,1565,1564,1564,1560,1560,1556,1556,1553,1553,1542,1542,1539,1539,1531,1531,1516,1516,1514,1514,1499,1499,788,788,167,167,74,74,0.0],[58663,58663,58663,40204,40204,29806,29806,26344,26344,26218,26218,25187,25187,22075,22075,21857,21857,21773,21773,20786,20786,20758,20758,20219,20219,20182,20182,20024,20024,19840,19840,19223,19223,18444,18444,18234,18234,17216,17216,16565,16565,16426,16426,15594,15594,15057,15057,14469,14469,14285,14285,14272,14272,14193,14193,14176,14176,14174,14174,13863,13863,13505,13505,13224,13224,12707,12707,12544,12544,12305,12305,12290,12290,12207,12207,12192,12192,12118,12118,12074,12074,12046,12046,11900,11900,11866,11866,11632,11632,11467,11467,11297,11297,11144,11144,11125,11125,11066,11066,10898,10898,10888,10888,10842,10842,10772,10772,10684,10684,10664,10664,10394,10394,10014,10014,9180,9180,9168,9168,9089,9089,8958,8958,8927,8927,8866,8866,8853,8853,8851,8851,8734,8734,8506,8506,8451,8451,8438,8438,8424,8424,8385,8385,8322,8322,8297,8297,8171,8171,8144,8144,8142,8142,8138,8138,8129,8129,8087,8087,8071,8071,8042,8042,7882,7882,7872,7872,7828,7828,7762,7762,7728,7728,7616,7616,7579,7579,7396,7396,7380,7380,7331,7331,7274,7274,7149,7149,7058,7058,6908,6908,6792,6792,6704,6704,6613,6613,6515,6515,6491,6491,6420,6420,6141,6141,6128,6128,6126,6126,6123,6123,5942,5942,5889,5889,5868,5868,5801,5801,5659,5659,5625,5625,5585,5585,5557,5557,5462,5462,5438,5438,5380,5380,5348,5348,5310,5310,5254,5254,5126,5126,5083,5083,5058,5058,4947,4947,4919,4919,4871,4871,4794,4794,4746,4746,4744,4744,4690,4690,4512,4512,4500,4500,4438,4438,4436,4436,4398,4398,4387,4387,4296,4296,4288,4288,4272,4272,4245,4245,4234,4234,4189,4189,4101,4101,4029,4029,3980,3980,3905,3905,3874,3874,3764,3764,3706,3706,3578,3578,3567,3567,3494,3494,3450,3450,3416,3416,3354,3354,3351,3351,3327,3327,3296,3296,3285,3285,3282,3282,3254,3254,3250,3250,3213,3213,3207,3207,3206,3206,3177,3177,3124,3124,3095,3095,2994,2994,2941,2941,2920,2920,2897,2897,2877,2877,2813,2813,2691,2691,2584,2584,2497,2497,2481,2481,2467,2467,2466,2466,2455,2455,2450,2450,2440,2440,2432,2432,2397,2397,2286,2286,2277,2277,2255,2255,2224,2224,2215,2215,2214,2214,2212,2212,2189,2189,2165,2165,2115,2115,2082,2082,2053,2053,2020,2020,1974,1974,1824,1824,1819,1819,1818,1818,1791,1791,1776,1776,1747,1747,1732,1732,1719,1719,1711,1711,1710,1710,1681,1681,1653,1653,1625,1625,1620,1620,1608,1608,1607,1607,1564,1564,1543,1543,1541,1541,1498,1498,477,477,0.0],[15727,15727,15727,11463,11463,9987,9987,9532,9532,8909,8909,8901,8901,8823,8823,8490,8490,8459,8459,8232,8232,8187,8187,7671,7671,7620,7620,7582,7582,7480,7480,7470,7470,7367,7367,6915,6915,6842,6842,6782,6782,6763,6763,6689,6689,6675,6675,6664,6664,6481,6481,6453,6453,6315,6315,6079,6079,5794,5794,5753,5753,5673,5673,5524,5524,5508,5508,5456,5456,5421,5421,5417,5417,5393,5393,5311,5311,5263,5263,5156,5156,5103,5103,5077,5077,5006,5006,4944,4944,4942,4942,4930,4930,4924,4924,4888,4888,4883,4883,4866,4866,4763,4763,4753,4753,4751,4751,4729,4729,4712,4712,4708,4708,4707,4707,4646,4646,4593,4593,4568,4568,4534,4534,4528,4528,4507,4507,4441,4441,4357,4357,4310,4310,4298,4298,4283,4283,4274,4274,4250,4250,4247,4247,4241,4241,4233,4233,4205,4205,4202,4202,4189,4189,4184,4184,4177,4177,4165,4165,4136,4136,4079,4079,4038,4038,4018,4018,4016,4016,4010,4010,3971,3971,3964,3964,3960,3960,3938,3938,3920,3920,3846,3846,3845,3845,3835,3835,3831,3831,3799,3799,3795,3795,3771,3771,3756,3756,3750,3750,3744,3744,3730,3730,3711,3711,3662,3662,3646,3646,3635,3635,3618,3618,3616,3616,3608,3608,3598,3598,3596,3596,3581,3581,3556,3556,3540,3540,3507,3507,3484,3484,3456,3456,3452,3452,3434,3434,3412,3412,3398,3398,3389,3389,3375,3375,3351,3351,3339,3339,3335,3335,3315,3315,3284,3284,3275,3275,3274,3274,3265,3265,3258,3258,3248,3248,3245,3245,3224,3224,3219,3219,3217,3217,3211,3211,3199,3199,3183,3183,3182,3182,3174,3174,3148,3148,3138,3138,3129,3129,3122,3122,3105,3105,3097,3097,3081,3081,3080,3080,3071,3071,3044,3044,3041,3041,3025,3025,3008,3008,3007,3007,2991,2991,2967,2967,2966,2966,2963,2963,2941,2941,2938,2938,2912,2912,2899,2899,2889,2889,2882,2882,2876,2876,2872,2872,2864,2864,2852,2852,2818,2818,2815,2815,2804,2804,2802,2802,2797,2797,2793,2793,2789,2789,2784,2784,2783,2783,2758,2758,2749,2749,2722,2722,2704,2704,2702,2702,2695,2695,2691,2691,2683,2683,2677,2677,2674,2674,2666,2666,2654,2654,2646,2646,2638,2638,2605,2605,2604,2604,2597,2597,2594,2594,2582,2582,2581,2581,2570,2570,2553,2553,2549,2549,2547,2547,2538,2538,2534,2534,2512,2512,2508,2508,2505,2505,2501,2501,2489,2489,2483,2483,2474,2474,2470,2470,2468,2468,2463,2463,2460,2460,2458,2458,2457,2457,2456,2456,2447,2447,2445,2445,2440,2440,2412,2412,2395,2395,2374,2374,2370,2370,2363,2363,2362,2362,2350,2350,2341,2341,2335,2335,2315,2315,2309,2309,2306,2306,2304,2304,2297,2297,2290,2290,2279,2279,2273,2273,2267,2267,2265,2265,2251,2251,2239,2239,2232,2232,2229,2229,2220,2220,2201,2201,2191,2191,2189,2189,2164,2164,2160,2160,2158,2158,2155,2155,2153,2153,2144,2144,2135,2135,2132,2132,2129,2129,2116,2116,2114,2114,2109,2109,2105,2105,2103,2103,2102,2102,2090,2090,2089,2089,2088,2088,2087,2087,2085,2085,2084,2084,2077,2077,2076,2076,2069,2069,2066,2066,2058,2058,2052,2052,2051,2051,2049,2049,2040,2040,2038,2038,2035,2035,2026,2026,2009,2009,1988,1988,1972,1972,1963,1963,1961,1961,1951,1951,1942,1942,1941,1941,1937,1937,1920,1920,1916,1916,1909,1909,1900,1900,1887,1887,1873,1873,1872,1872,1870,1870,1860,1860,1859,1859,1852,1852,1845,1845,1837,1837,1835,1835,1824,1824,1822,1822,1818,1818,1807,1807,1802,1802,1795,1795,1793,1793,1790,1790,1786,1786,1782,1782,1780,1780,1777,1777,1774,1774,1770,1770,1756,1756,1752,1752,1751,1751,1746,1746,1745,1745,1722,1722,1716,1716,1711,1711,1702,1702,1700,1700,1692,1692,1686,1686,1682,1682,1668,1668,1666,1666,1663,1663,1660,1660,1656,1656,1655,1655,1654,1654,1646,1646,1643,1643,1640,1640,1630,1630,1628,1628,1618,1618,1614,1614,1613,1613,1610,1610,1605,1605,1601,1601,1598,1598,1596,1596,1594,1594,1589,1589,1587,1587,1581,1581,1577,1577,1575,1575,1573,1573,1567,1567,1557,1557,1554,1554,1550,1550,1549,1549,1544,1544,1540,1540,1537,1537,1534,1534,1531,1531,1524,1524,1519,1519,1511,1511,1509,1509,1475,1475,1472,1472,0.0],[65493,65493,65493,60052,60052,58701,58701,57086,57086,55943,55943,52512,52512,52156,52156,51981,51981,49888,49888,49558,49558,46429,46429,40777,40777,40548,40548,39143,39143,37388,37388,36925,36925,36002,36002,33484,33484,32063,32063,30909,30909,28069,28069,27429,27429,27106,27106,26055,26055,25972,25972,24641,24641,23778,23778,23501,23501,23034,23034,22399,22399,21827,21827,21700,21700,21278,21278,20788,20788,20586,20586,20149,20149,19647,19647,19096,19096,18419,18419,16780,16780,13667,13667,13586,13586,13348,13348,13131,13131,12932,12932,12366,12366,11064,11064,10896,10896,10070,10070,9914,9914,9503,9503,9459,9459,9150,9150,8860,8860,8496,8496,7877,7877,7208,7208,6596,6596,6594,6594,6475,6475,6270,6270,5931,5931,5707,5707,5653,5653,5338,5338,5275,5275,5096,5096,5036,5036,4709,4709,4593,4593,4142,4142,3657,3657,3651,3651,3617,3617,3390,3390,3293,3293,3239,3239,3107,3107,3070,3070,2708,2708,2636,2636,2211,2211,2090,2090,2005,2005,1973,1973,1810,1810,1803,1803,1564,1564,0.0],[163882,163882,163882,147612,147612,135427,135427,107261,107261,105640,105640,91813,91813,91117,91117,83972,83972,79632,79632,62971,62971,60967,60967,60158,60158,57926,57926,46088,46088,24734,24734,24643,24643,24154,24154,24131,24131,22405,22405,21441,21441,16014,16014,14629,14629,13602,13602,10753,10753,7082,7082,5625,5625,3617,3617,2658,2658,2024,2024,0.0],[142061,142061,142061,135599,135599,116347,116347,115235,115235,107615,107615,106037,106037,89762,89762,86370,86370,83457,83457,72220,72220,60331,60331,55829,55829,55375,55375,53506,53506,49129,49129,46344,46344,36359,36359,26917,26917,26669,26669,24813,24813,23874,23874,22507,22507,22009,22009,21613,21613,20680,20680,20428,20428,18430,18430,14800,14800,13774,13774,11693,11693,11137,11137,7715,7715,6117,6117,5661,5661,4130,4130,2228,2228,2174,2174,2037,2037,0.0],[163883,163883,163883,146585,146585,135429,135429,127343,127343,105640,105640,100360,100360,97870,97870,89522,89522,75583,75583,74452,74452,60967,60967,58430,58430,54457,54457,49328,49328,36222,36222,33825,33825,33531,33531,29921,29921,26799,26799,24737,24737,24677,24677,24641,24641,22304,22304,21736,21736,20985,20985,14629,14629,13602,13602,12237,12237,10702,10702,9511,9511,9403,9403,6584,6584,5625,5625,1723,1723,0.0],[12742,12742,12742,11030,11030,9232,9232,8426,8426,8293,8293,8270,8270,8115,8115,8068,8068,7924,7924,7773,7773,7616,7616,7603,7603,7600,7600,7396,7396,7377,7377,7283,7283,7165,7165,7159,7159,6781,6781,6741,6741,6706,6706,6605,6605,6581,6581,6566,6566,6475,6475,6427,6427,6394,6394,6347,6347,6273,6273,6260,6260,6129,6129,6081,6081,6040,6040,6002,6002,5923,5923,5717,5717,5678,5678,5661,5661,5647,5647,5583,5583,5581,5581,5494,5494,5453,5453,5348,5348,5341,5341,5262,5262,5254,5254,5236,5236,5171,5171,5162,5162,5136,5136,5075,5075,4990,4990,4951,4951,4839,4839,4835,4835,4765,4765,4754,4754,4668,4668,4655,4655,4641,4641,4623,4623,4595,4595,4520,4520,4441,4441,4416,4416,4319,4319,4318,4318,4317,4317,4275,4275,4264,4264,4213,4213,4205,4205,4188,4188,4121,4121,4101,4101,4010,4010,3970,3970,3926,3926,3919,3919,3888,3888,3874,3874,3873,3873,3860,3860,3845,3845,3838,3838,3816,3816,3799,3799,3795,3795,3764,3764,3758,3758,3753,3753,3730,3730,3726,3726,3703,3703,3672,3672,3669,3669,3661,3661,3644,3644,3637,3637,3617,3617,3598,3598,3574,3574,3530,3530,3528,3528,3526,3526,3496,3496,3460,3460,3432,3432,3425,3425,3410,3410,3381,3381,3376,3376,3351,3351,3346,3346,3344,3344,3333,3333,3291,3291,3288,3288,3243,3243,3232,3232,3219,3219,3218,3218,3201,3201,3164,3164,3156,3156,3137,3137,3081,3081,3048,3048,3026,3026,3013,3013,3011,3011,2998,2998,2964,2964,2950,2950,2918,2918,2906,2906,2902,2902,2895,2895,2893,2893,2886,2886,2870,2870,2866,2866,2857,2857,2853,2853,2852,2852,2822,2822,2821,2821,2820,2820,2769,2769,2768,2768,2765,2765,2758,2758,2755,2755,2705,2705,2691,2691,2662,2662,2658,2658,2652,2652,2648,2648,2647,2647,2630,2630,2620,2620,2615,2615,2610,2610,2608,2608,2606,2606,2597,2597,2570,2570,2565,2565,2561,2561,2556,2556,2552,2552,2549,2549,2544,2544,2531,2531,2521,2521,2518,2518,2516,2516,2507,2507,2501,2501,2492,2492,2478,2478,2458,2458,2456,2456,2446,2446,2433,2433,2424,2424,2420,2420,2411,2411,2408,2408,2402,2402,2378,2378,2373,2373,2371,2371,2368,2368,2364,2364,2363,2363,2362,2362,2346,2346,2327,2327,2304,2304,2297,2297,2295,2295,2294,2294,2285,2285,2284,2284,2269,2269,2260,2260,2253,2253,2252,2252,2235,2235,2231,2231,2223,2223,2220,2220,2215,2215,2213,2213,2212,2212,2211,2211,2206,2206,2204,2204,2199,2199,2194,2194,2187,2187,2173,2173,2170,2170,2164,2164,2161,2161,2139,2139,2138,2138,2132,2132,2125,2125,2104,2104,2091,2091,2081,2081,2077,2077,2075,2075,2074,2074,2062,2062,2058,2058,2053,2053,2046,2046,2042,2042,2028,2028,2010,2010,2003,2003,2000,2000,1992,1992,1982,1982,1981,1981,1974,1974,1972,1972,1953,1953,1943,1943,1939,1939,1934,1934,1930,1930,1927,1927,1913,1913,1912,1912,1906,1906,1905,1905,1890,1890,1888,1888,1884,1884,1874,1874,1871,1871,1855,1855,1852,1852,1849,1849,1837,1837,1821,1821,1819,1819,1816,1816,1815,1815,1802,1802,1801,1801,1798,1798,1795,1795,1790,1790,1782,1782,1774,1774,1770,1770,1769,1769,1764,1764,1762,1762,1761,1761,1756,1756,1754,1754,1753,1753,1736,1736,1733,1733,1724,1724,1722,1722,1721,1721,1720,1720,1716,1716,1715,1715,1711,1711,1701,1701,1693,1693,1690,1690,1679,1679,1670,1670,1669,1669,1654,1654,1640,1640,1638,1638,1635,1635,1627,1627,1626,1626,1624,1624,1623,1623,1621,1621,1620,1620,1615,1615,1611,1611,1607,1607,1603,1603,1602,1602,1599,1599,1583,1583,1576,1576,1570,1570,1568,1568,1565,1565,1564,1564,1558,1558,1548,1548,1536,1536,1532,1532,1530,1530,1528,1528,1522,1522,1517,1517,1515,1515,1504,1504,1497,1497,1487,1487,1474,1474,1460,1460,1442,1442,1365,1365,1291,1291,703,703,0.0],[17234,17234,17234,15315,15315,12787,12787,12450,12450,12117,12117,12036,12036,11946,11946,11627,11627,11566,11566,11412,11412,10946,10946,10875,10875,10484,10484,9783,9783,9695,9695,9574,9574,9543,9543,9459,9459,9132,9132,8851,8851,8668,8668,8623,8623,8471,8471,8423,8423,8119,8119,8073,8073,7962,7962,7951,7951,7848,7848,7775,7775,7691,7691,7303,7303,7168,7168,7165,7165,7117,7117,7095,7095,7076,7076,7012,7012,6969,6969,6892,6892,6736,6736,6709,6709,6491,6491,6221,6221,6205,6205,6144,6144,6143,6143,6025,6025,6020,6020,5998,5998,5988,5988,5918,5918,5893,5893,5803,5803,5743,5743,5681,5681,5678,5678,5669,5669,5649,5649,5559,5559,5400,5400,5388,5388,5338,5338,5289,5289,5262,5262,5194,5194,5181,5181,5176,5176,5094,5094,5060,5060,5010,5010,5002,5002,4986,4986,4970,4970,4901,4901,4825,4825,4781,4781,4745,4745,4693,4693,4690,4690,4648,4648,4611,4611,4590,4590,4588,4588,4569,4569,4524,4524,4512,4512,4506,4506,4459,4459,4451,4451,4429,4429,4405,4405,4327,4327,4303,4303,4300,4300,4286,4286,4265,4265,4264,4264,4241,4241,4220,4220,4205,4205,4188,4188,4174,4174,4151,4151,4148,4148,4132,4132,4123,4123,4061,4061,4043,4043,4028,4028,4024,4024,4011,4011,3999,3999,3981,3981,3955,3955,3949,3949,3916,3916,3910,3910,3895,3895,3893,3893,3882,3882,3829,3829,3825,3825,3777,3777,3771,3771,3770,3770,3743,3743,3730,3730,3724,3724,3723,3723,3690,3690,3687,3687,3677,3677,3674,3674,3663,3663,3647,3647,3631,3631,3620,3620,3607,3607,3600,3600,3597,3597,3573,3573,3513,3513,3481,3481,3427,3427,3418,3418,3415,3415,3410,3410,3375,3375,3347,3347,3341,3341,3336,3336,3334,3334,3310,3310,3265,3265,3255,3255,3244,3244,3212,3212,3155,3155,3146,3146,3133,3133,3128,3128,3113,3113,3106,3106,3098,3098,3094,3094,3082,3082,3081,3081,3073,3073,3066,3066,3065,3065,3060,3060,3055,3055,3036,3036,3030,3030,3014,3014,2992,2992,2963,2963,2955,2955,2915,2915,2906,2906,2903,2903,2883,2883,2864,2864,2838,2838,2828,2828,2822,2822,2817,2817,2816,2816,2815,2815,2800,2800,2798,2798,2793,2793,2781,2781,2772,2772,2767,2767,2747,2747,2738,2738,2735,2735,2703,2703,2694,2694,2680,2680,2659,2659,2658,2658,2643,2643,2629,2629,2608,2608,2606,2606,2601,2601,2586,2586,2585,2585,2582,2582,2580,2580,2577,2577,2564,2564,2524,2524,2493,2493,2491,2491,2467,2467,2439,2439,2434,2434,2422,2422,2413,2413,2405,2405,2397,2397,2391,2391,2367,2367,2357,2357,2348,2348,2345,2345,2331,2331,2328,2328,2310,2310,2300,2300,2294,2294,2291,2291,2275,2275,2272,2272,2262,2262,2255,2255,2249,2249,2219,2219,2179,2179,2155,2155,2139,2139,2121,2121,2113,2113,2099,2099,2086,2086,2078,2078,2075,2075,2073,2073,2049,2049,2034,2034,2031,2031,2011,2011,2005,2005,2002,2002,1992,1992,1990,1990,1988,1988,1973,1973,1965,1965,1945,1945,1920,1920,1917,1917,1889,1889,1860,1860,1847,1847,1841,1841,1840,1840,1834,1834,1823,1823,1821,1821,1809,1809,1806,1806,1803,1803,1802,1802,1799,1799,1791,1791,1785,1785,1780,1780,1770,1770,1769,1769,1760,1760,1753,1753,1732,1732,1725,1725,1715,1715,1692,1692,1674,1674,1671,1671,1657,1657,1649,1649,1642,1642,1631,1631,1622,1622,1615,1615,1612,1612,1584,1584,1575,1575,1554,1554,1551,1551,1546,1546,1544,1544,1538,1538,1534,1534,1531,1531,1528,1528,1519,1519,1509,1509,1497,1497,1496,1496,1495,1495,1471,1471,1469,1469,1316,1316,1253,1253,1229,1229,1188,1188,1120,1120,1113,1113,1111,1111,928,928,921,921,734,734,652,652,645,645,620,620,606,606,525,525,436,436,423,423,420,420,301,301,300,300,296,296,0.0],[13680,13680,13680,11809,11809,11484,11484,10087,10087,9574,9574,9507,9507,9468,9468,8610,8610,8374,8374,8312,8312,8094,8094,8093,8093,7884,7884,7866,7866,7843,7843,7528,7528,7450,7450,7121,7121,7005,7005,6957,6957,6743,6743,6699,6699,6454,6454,6323,6323,6288,6288,6111,6111,6044,6044,5862,5862,5860,5860,5575,5575,5564,5564,5465,5465,5460,5460,5436,5436,5384,5384,5293,5293,5280,5280,5138,5138,5105,5105,5089,5089,5016,5016,4982,4982,4950,4950,4943,4943,4880,4880,4777,4777,4774,4774,4762,4762,4761,4761,4744,4744,4735,4735,4698,4698,4692,4692,4649,4649,4647,4647,4641,4641,4632,4632,4607,4607,4584,4584,4561,4561,4548,4548,4479,4479,4474,4474,4467,4467,4439,4439,4400,4400,4398,4398,4397,4397,4335,4335,4283,4283,4275,4275,4212,4212,4153,4153,4120,4120,4111,4111,4109,4109,4093,4093,4087,4087,3987,3987,3905,3905,3894,3894,3824,3824,3811,3811,3745,3745,3720,3720,3714,3714,3697,3697,3666,3666,3661,3661,3646,3646,3643,3643,3626,3626,3590,3590,3589,3589,3577,3577,3555,3555,3545,3545,3515,3515,3512,3512,3350,3350,3326,3326,3259,3259,3251,3251,3244,3244,3237,3237,3199,3199,3186,3186,3144,3144,3135,3135,3105,3105,3095,3095,3091,3091,3068,3068,3055,3055,3052,3052,3048,3048,3039,3039,3030,3030,3008,3008,3005,3005,2985,2985,2982,2982,2973,2973,2954,2954,2942,2942,2938,2938,2868,2868,2848,2848,2832,2832,2826,2826,2824,2824,2805,2805,2791,2791,2768,2768,2763,2763,2754,2754,2694,2694,2659,2659,2650,2650,2641,2641,2611,2611,2603,2603,2599,2599,2491,2491,2475,2475,2471,2471,2437,2437,2422,2422,2379,2379,2371,2371,2327,2327,2319,2319,2313,2313,2311,2311,2285,2285,2250,2250,2243,2243,2241,2241,2240,2240,2235,2235,2226,2226,2217,2217,2190,2190,2163,2163,2150,2150,2147,2147,2114,2114,2098,2098,2092,2092,2089,2089,2035,2035,2015,2015,2009,2009,2002,2002,1994,1994,1952,1952,1926,1926,1910,1910,1904,1904,1901,1901,1886,1886,1880,1880,1876,1876,1853,1853,1828,1828,1826,1826,1771,1771,1767,1767,1763,1763,1756,1756,1748,1748,1736,1736,1734,1734,1728,1728,1715,1715,1706,1706,1702,1702,1700,1700,1680,1680,1662,1662,1659,1659,1657,1657,1650,1650,1648,1648,1641,1641,1636,1636,1631,1631,1615,1615,1612,1612,1610,1610,1604,1604,1602,1602,1589,1589,1584,1584,1574,1574,1536,1536,1535,1535,1527,1527,1526,1526,1514,1514,1511,1511,1482,1482,1478,1478,1477,1477,1474,1474,1473,1473,1456,1456,1274,1274,1124,1124,929,929,923,923,813,813,668,668,438,438,423,423,419,419,372,372,356,356,187,187,174,174,129,129,91,91,0.0],[89883,89883,89883,82745,82745,65001,65001,63145,63145,51027,51027,48462,48462,46369,46369,45213,45213,44516,44516,40438,40438,37682,37682,36627,36627,36430,36430,34306,34306,31928,31928,31723,31723,30949,30949,28285,28285,24643,24643,23631,23631,22149,22149,21841,21841,21602,21602,20862,20862,20781,20781,20720,20720,19270,19270,18624,18624,17097,17097,16127,16127,14642,14642,14544,14544,14496,14496,13507,13507,13400,13400,12561,12561,11678,11678,11164,11164,11003,11003,10730,10730,10611,10611,9972,9972,8667,8667,8517,8517,8506,8506,8208,8208,7750,7750,7040,7040,6167,6167,5795,5795,5642,5642,5430,5430,5376,5376,4725,4725,3345,3345,3340,3340,2707,2707,2697,2697,2509,2509,2359,2359,2355,2355,2353,2353,2059,2059,1947,1947,1895,1895,1715,1715,1680,1680,1664,1664,1645,1645,1560,1560,1472,1472,924,924,832,832,436,436,405,405,400,400,199,199,0.0],[99232,99232,99232,59154,59154,54708,54708,51030,51030,49665,49665,48546,48546,46889,46889,46490,46490,44059,44059,41270,41270,39963,39963,38170,38170,32266,32266,30949,30949,28960,28960,28804,28804,28638,28638,27870,27870,26102,26102,25326,25326,24643,24643,22149,22149,20360,20360,20338,20338,19485,19485,18719,18719,17902,17902,17327,17327,17107,17107,15801,15801,14576,14576,13508,13508,13382,13382,13079,13079,12651,12651,12498,12498,12041,12041,11439,11439,11127,11127,10750,10750,10628,10628,10584,10584,10322,10322,10230,10230,10059,10059,8517,8517,8080,8080,8079,8079,7750,7750,7309,7309,6982,6982,6927,6927,6688,6688,6625,6625,6292,6292,6113,6113,6082,6082,5959,5959,5679,5679,5430,5430,5429,5429,5376,5376,5253,5253,4592,4592,4312,4312,4043,4043,4020,4020,3828,3828,3827,3827,3776,3776,3557,3557,3482,3482,3449,3449,3437,3437,3433,3433,3272,3272,2828,2828,2739,2739,2710,2710,2700,2700,2591,2591,2397,2397,2369,2369,2341,2341,2334,2334,2318,2318,2187,2187,2068,2068,2036,2036,2010,2010,2003,2003,1701,1701,1659,1659,1652,1652,1645,1645,1560,1560,1535,1535,1274,1274,1215,1215,1141,1141,1124,1124,922,922,652,652,493,493,484,484,447,447,440,440,405,405,341,341,242,242,116,116,101,101,80,80,0.0],[65417,65417,65417,46187,46187,43746,43746,42924,42924,42059,42059,37346,37346,32922,32922,31829,31829,26245,26245,26201,26201,24813,24813,24644,24644,24481,24481,22138,22138,22060,22060,21359,21359,20170,20170,20112,20112,19948,19948,19709,19709,18832,18832,18209,18209,17967,17967,17241,17241,17130,17130,17082,17082,16617,16617,15697,15697,14845,14845,14609,14609,14567,14567,13508,13508,12957,12957,12791,12791,12714,12714,11717,11717,11672,11672,11455,11455,10104,10104,9634,9634,9570,9570,9246,9246,8610,8610,8463,8463,8181,8181,8074,8074,7811,7811,7690,7690,7570,7570,7535,7535,7152,7152,7094,7094,6695,6695,6659,6659,6603,6603,6566,6566,6520,6520,6344,6344,6173,6173,6077,6077,6063,6063,5877,5877,5839,5839,5794,5794,5793,5793,5516,5516,5430,5430,5332,5332,5295,5295,5282,5282,5251,5251,5154,5154,5094,5094,4965,4965,4809,4809,4774,4774,4655,4655,4374,4374,4162,4162,4051,4051,3956,3956,3940,3940,3641,3641,3587,3587,3518,3518,3515,3515,3380,3380,3379,3379,3232,3232,3191,3191,3090,3090,2982,2982,2965,2965,2949,2949,2593,2593,2566,2566,2500,2500,2443,2443,2442,2442,2370,2370,2358,2358,2326,2326,2256,2256,2216,2216,2184,2184,2165,2165,2126,2126,2092,2092,1995,1995,1963,1963,1868,1868,1820,1820,1752,1752,1699,1699,1680,1680,1672,1672,1659,1659,1597,1597,1559,1559,1472,1472,865,865,738,738,216,216,197,197,182,182,116,116,109,109,105,105,92,92,84,84,78,78,67,67,0.0],[25527,25527,25527,23534,23534,22630,22630,20420,20420,20331,20331,16453,16453,16023,16023,15961,15961,15817,15817,15499,15499,15468,15468,14905,14905,14542,14542,14174,14174,13675,13675,13210,13210,12930,12930,12794,12794,12600,12600,12568,12568,11954,11954,11465,11465,11178,11178,10995,10995,10832,10832,10721,10721,10698,10698,10665,10665,10502,10502,10396,10396,10126,10126,10055,10055,10050,10050,9777,9777,9625,9625,9087,9087,8877,8877,8855,8855,8730,8730,8729,8729,8715,8715,8621,8621,8516,8516,8429,8429,8376,8376,8212,8212,8153,8153,7917,7917,7879,7879,7832,7832,7750,7750,7393,7393,7346,7346,7318,7318,7229,7229,6986,6986,6980,6980,6845,6845,6577,6577,6552,6552,6468,6468,6368,6368,6329,6329,6283,6283,6218,6218,6025,6025,5987,5987,5961,5961,5888,5888,5876,5876,5861,5861,5793,5793,5770,5770,5752,5752,5654,5654,5554,5554,5518,5518,5487,5487,5473,5473,5442,5442,5377,5377,5277,5277,5211,5211,5206,5206,5090,5090,5040,5040,5027,5027,5022,5022,5012,5012,4943,4943,4915,4915,4804,4804,4672,4672,4668,4668,4651,4651,4639,4639,4537,4537,4489,4489,4311,4311,4310,4310,4271,4271,4261,4261,4235,4235,4226,4226,4222,4222,4199,4199,4192,4192,4189,4189,3927,3927,3896,3896,3875,3875,3850,3850,3826,3826,3815,3815,3704,3704,3599,3599,3580,3580,3529,3529,3508,3508,3488,3488,3469,3469,3464,3464,3445,3445,3430,3430,3316,3316,3291,3291,3244,3244,3159,3159,3144,3144,3128,3128,3113,3113,3098,3098,3078,3078,3052,3052,3038,3038,2934,2934,2812,2812,2804,2804,2748,2748,2745,2745,2727,2727,2698,2698,2621,2621,2581,2581,2574,2574,2555,2555,2541,2541,2538,2538,2514,2514,2489,2489,2476,2476,2473,2473,2463,2463,2452,2452,2436,2436,2429,2429,2423,2423,2415,2415,2358,2358,2349,2349,2324,2324,2318,2318,2259,2259,2186,2186,2181,2181,2138,2138,2113,2113,2104,2104,2101,2101,2096,2096,2094,2094,2069,2069,1966,1966,1935,1935,1931,1931,1921,1921,1898,1898,1893,1893,1888,1888,1870,1870,1849,1849,1848,1848,1842,1842,1834,1834,1828,1828,1809,1809,1785,1785,1780,1780,1730,1730,1729,1729,1719,1719,1715,1715,1700,1700,1699,1699,1695,1695,1694,1694,1687,1687,1679,1679,1673,1673,1659,1659,1616,1616,1609,1609,1603,1603,1602,1602,1600,1600,1597,1597,1591,1591,1574,1574,1567,1567,1552,1552,1551,1551,1548,1548,1534,1534,1527,1527,1526,1526,1524,1524,1477,1477,1461,1461,1409,1409,1364,1364,1274,1274,1139,1139,1123,1123,921,921,807,807,713,713,539,539,446,446,404,404,389,389,383,383,300,300,0.0],[265404,265404,265404,135744,135744,135339,135339,117821,117821,66403,66403,63368,63368,59842,59842,52699,52699,51196,51196,51027,51027,50662,50662,50208,50208,40759,40759,38544,38544,36685,36685,34633,34633,31614,31614,26102,26102,24813,24813,24643,24643,22149,22149,19842,19842,19187,19187,18805,18805,17107,17107,14377,14377,13508,13508,10730,10730,10517,10517,8800,8800,6860,6860,5430,5430,3905,3905,3639,3639,2509,2509,2359,2359,2260,2260,1472,1472,1471,1471,921,921,836,836,437,437,0.0],[160587,160587,160587,135337,135337,127897,127897,117821,117821,101263,101263,82744,82744,63363,63363,59840,59840,52877,52877,52698,52698,50153,50153,47121,47121,46502,46502,36688,36688,36004,36004,34520,34520,28871,28871,27472,27472,26102,26102,22379,22379,22149,22149,19391,19391,19272,19272,19187,19187,18069,18069,17097,17097,14097,14097,13468,13468,13400,13400,10730,10730,8817,8817,8800,8800,8550,8550,6860,6860,5481,5481,5430,5430,3905,3905,3639,3639,2922,2922,2835,2835,2319,2319,2064,2064,1474,1474,1472,1472,1407,1407,1239,1239,1231,1231,1064,1064,998,998,419,419,356,356,352,352,0.0],[10601,10601,10601,10250,10250,9693,9693,8888,8888,8653,8653,8398,8398,8050,8050,7663,7663,7431,7431,7233,7233,7068,7068,6822,6822,6801,6801,6800,6800,6717,6717,6619,6619,6598,6598,6428,6428,6400,6400,6376,6376,6330,6330,6214,6214,5973,5973,5859,5859,5833,5833,5730,5730,5707,5707,5665,5665,5656,5656,5609,5609,5601,5601,5548,5548,5543,5543,5386,5386,5317,5317,5185,5185,5125,5125,5124,5124,4916,4916,4861,4861,4828,4828,4700,4700,4693,4693,4645,4645,4638,4638,4628,4628,4597,4597,4595,4595,4582,4582,4557,4557,4439,4439,4362,4362,4299,4299,4250,4250,4245,4245,4235,4235,4221,4221,4208,4208,4184,4184,4176,4176,4136,4136,4082,4082,4074,4074,4036,4036,4033,4033,4022,4022,3959,3959,3941,3941,3917,3917,3893,3893,3888,3888,3879,3879,3863,3863,3838,3838,3828,3828,3823,3823,3815,3815,3787,3787,3780,3780,3766,3766,3764,3764,3720,3720,3653,3653,3589,3589,3531,3531,3486,3486,3433,3433,3415,3415,3403,3403,3399,3399,3380,3380,3370,3370,3366,3366,3365,3365,3349,3349,3335,3335,3332,3332,3293,3293,3291,3291,3287,3287,3278,3278,3173,3173,3148,3148,3134,3134,3132,3132,3118,3118,3051,3051,3049,3049,3004,3004,3003,3003,2976,2976,2968,2968,2966,2966,2964,2964,2891,2891,2870,2870,2805,2805,2793,2793,2769,2769,2726,2726,2719,2719,2715,2715,2706,2706,2694,2694,2689,2689,2669,2669,2656,2656,2655,2655,2632,2632,2621,2621,2620,2620,2610,2610,2609,2609,2600,2600,2586,2586,2579,2579,2570,2570,2563,2563,2558,2558,2553,2553,2538,2538,2536,2536,2528,2528,2521,2521,2511,2511,2427,2427,2423,2423,2420,2420,2413,2413,2395,2395,2380,2380,2368,2368,2367,2367,2366,2366,2352,2352,2348,2348,2338,2338,2328,2328,2325,2325,2318,2318,2282,2282,2274,2274,2268,2268,2267,2267,2262,2262,2254,2254,2238,2238,2219,2219,2209,2209,2203,2203,2194,2194,2186,2186,2179,2179,2173,2173,2163,2163,2160,2160,2135,2135,2134,2134,2099,2099,2078,2078,2076,2076,2070,2070,2056,2056,2054,2054,2053,2053,2018,2018,2012,2012,1999,1999,1978,1978,1971,1971,1955,1955,1954,1954,1909,1909,1907,1907,1890,1890,1879,1879,1877,1877,1852,1852,1847,1847,1844,1844,1818,1818,1813,1813,1810,1810,1808,1808,1798,1798,1794,1794,1780,1780,1770,1770,1765,1765,1763,1763,1755,1755,1741,1741,1729,1729,1728,1728,1715,1715,1711,1711,1698,1698,1687,1687,1684,1684,1675,1675,1672,1672,1641,1641,1639,1639,1638,1638,1637,1637,1635,1635,1626,1626,1623,1623,1619,1619,1612,1612,1606,1606,1605,1605,1600,1600,1587,1587,1578,1578,1574,1574,1562,1562,1553,1553,1539,1539,1536,1536,1534,1534,1516,1516,1514,1514,1510,1510,1507,1507,1495,1495,1494,1494,1123,1123,988,988,924,924,670,670,466,466,436,436,413,413,153,153,138,138,129,129,122,122,0.0],[59311,59311,59311,54708,54708,48546,48546,47130,47130,46488,46488,46085,46085,38611,38611,37358,37358,31929,31929,31385,31385,31291,31291,31170,31170,27827,27827,26102,26102,25738,25738,25174,25174,25084,25084,24315,24315,23243,23243,22149,22149,21200,21200,20364,20364,20338,20338,20235,20235,19733,19733,19020,19020,15971,15971,15832,15832,15750,15750,15595,15595,15357,15357,15043,15043,14436,14436,14087,14087,13428,13428,12762,12762,12098,12098,12020,12020,11553,11553,11421,11421,11417,11417,11271,11271,10750,10750,10629,10629,10593,10593,10504,10504,10230,10230,10051,10051,9205,9205,8913,8913,8517,8517,8400,8400,7750,7750,7550,7550,6982,6982,6933,6933,6625,6625,6600,6600,6457,6457,6440,6440,6220,6220,6208,6208,6113,6113,6082,6082,6063,6063,5959,5959,5578,5578,5429,5429,5376,5376,5197,5197,5192,5192,4911,4911,4879,4879,4876,4876,4771,4771,4551,4551,4398,4398,4287,4287,4231,4231,3917,3917,3905,3905,3892,3892,3804,3804,3704,3704,3694,3694,3591,3591,3440,3440,3433,3433,3245,3245,3201,3201,2988,2988,2828,2828,2805,2805,2739,2739,2370,2370,2326,2326,2318,2318,2165,2165,2155,2155,2139,2139,2035,2035,1831,1831,1715,1715,1687,1687,1680,1680,1662,1662,1656,1656,1586,1586,1578,1578,1535,1535,1177,1177,1141,1141,882,882,499,499,495,495,487,487,446,446,443,443,405,405,379,379,199,199,182,182,118,118,114,114,96,96,90,90,0.0],[9201,9201,9201,7938,7938,7742,7742,7404,7404,7069,7069,6569,6569,6113,6113,6053,6053,6022,6022,5983,5983,5880,5880,5758,5758,5685,5685,5541,5541,5537,5537,5315,5315,5283,5283,5249,5249,4943,4943,4908,4908,4871,4871,4665,4665,4662,4662,4551,4551,4481,4481,4470,4470,4400,4400,4358,4358,4351,4351,4251,4251,4188,4188,4156,4156,4130,4130,4096,4096,4085,4085,3955,3955,3929,3929,3837,3837,3780,3780,3774,3774,3767,3767,3707,3707,3697,3697,3691,3691,3660,3660,3612,3612,3565,3565,3509,3509,3463,3463,3454,3454,3452,3452,3438,3438,3371,3371,3363,3363,3337,3337,3334,3334,3332,3332,3284,3284,3270,3270,3239,3239,3236,3236,3227,3227,3208,3208,3147,3147,3139,3139,3115,3115,3090,3090,3047,3047,3014,3014,3004,3004,3002,3002,2966,2966,2944,2944,2943,2943,2929,2929,2926,2926,2896,2896,2873,2873,2871,2871,2852,2852,2834,2834,2793,2793,2782,2782,2771,2771,2769,2769,2739,2739,2734,2734,2727,2727,2722,2722,2721,2721,2708,2708,2705,2705,2688,2688,2675,2675,2649,2649,2638,2638,2631,2631,2629,2629,2623,2623,2612,2612,2610,2610,2578,2578,2566,2566,2554,2554,2546,2546,2544,2544,2522,2522,2520,2520,2517,2517,2515,2515,2507,2507,2471,2471,2465,2465,2464,2464,2447,2447,2438,2438,2426,2426,2416,2416,2413,2413,2409,2409,2405,2405,2403,2403,2394,2394,2388,2388,2383,2383,2359,2359,2358,2358,2355,2355,2354,2354,2326,2326,2317,2317,2311,2311,2280,2280,2278,2278,2272,2272,2270,2270,2262,2262,2260,2260,2252,2252,2239,2239,2233,2233,2226,2226,2222,2222,2218,2218,2216,2216,2210,2210,2202,2202,2197,2197,2189,2189,2187,2187,2185,2185,2183,2183,2180,2180,2172,2172,2168,2168,2162,2162,2161,2161,2154,2154,2149,2149,2138,2138,2132,2132,2130,2130,2123,2123,2121,2121,2117,2117,2112,2112,2111,2111,2107,2107,2101,2101,2076,2076,2066,2066,2062,2062,2060,2060,2054,2054,2045,2045,2040,2040,2038,2038,2034,2034,2024,2024,2018,2018,2017,2017,2014,2014,2010,2010,2003,2003,1999,1999,1988,1988,1986,1986,1982,1982,1977,1977,1972,1972,1966,1966,1960,1960,1957,1957,1950,1950,1945,1945,1921,1921,1918,1918,1917,1917,1911,1911,1905,1905,1901,1901,1889,1889,1881,1881,1880,1880,1859,1859,1856,1856,1855,1855,1854,1854,1849,1849,1840,1840,1839,1839,1831,1831,1826,1826,1823,1823,1819,1819,1807,1807,1794,1794,1792,1792,1789,1789,1785,1785,1783,1783,1780,1780,1777,1777,1769,1769,1759,1759,1754,1754,1747,1747,1746,1746,1729,1729,1722,1722,1716,1716,1715,1715,1709,1709,1707,1707,1704,1704,1693,1693,1690,1690,1688,1688,1685,1685,1680,1680,1676,1676,1671,1671,1658,1658,1653,1653,1651,1651,1650,1650,1646,1646,1630,1630,1629,1629,1627,1627,1626,1626,1610,1610,1602,1602,1598,1598,1592,1592,1591,1591,1590,1590,1587,1587,1585,1585,1583,1583,1582,1582,1579,1579,1576,1576,1575,1575,1565,1565,1563,1563,1561,1561,1558,1558,1555,1555,1544,1544,1543,1543,1540,1540,1539,1539,1524,1524,1521,1521,1513,1513,1506,1506,1503,1503,1495,1495,1494,1494,1477,1477,1476,1476,1473,1473,1470,1470,1468,1468,1410,1410,1408,1408,1374,1374,1346,1346,1318,1318,1297,1297,1275,1275,1190,1190,1136,1136,1124,1124,1016,1016,1010,1010,963,963,924,924,770,770,731,731,718,718,650,650,566,566,558,558,508,508,487,487,477,477,474,474,412,412,409,409,285,285,249,249,243,243,204,204,159,159,114,114,86,86,0.0],[17365,17365,17365,13570,13570,12449,12449,11422,11422,11100,11100,10485,10485,10432,10432,10170,10170,10062,10062,9393,9393,9078,9078,8987,8987,8726,8726,8547,8547,8273,8273,8209,8209,8059,8059,7548,7548,7392,7392,6981,6981,6586,6586,6457,6457,5983,5983,5956,5956,5931,5931,5719,5719,5717,5717,5642,5642,5536,5536,5392,5392,5288,5288,5286,5286,5109,5109,5084,5084,4957,4957,4925,4925,4877,4877,4861,4861,4823,4823,4775,4775,4760,4760,4724,4724,4639,4639,4624,4624,4557,4557,4469,4469,4457,4457,4453,4453,4445,4445,4404,4404,4362,4362,4346,4346,4291,4291,4216,4216,4120,4120,4063,4063,3961,3961,3901,3901,3888,3888,3856,3856,3850,3850,3836,3836,3759,3759,3691,3691,3674,3674,3649,3649,3594,3594,3586,3586,3552,3552,3546,3546,3524,3524,3474,3474,3419,3419,3383,3383,3335,3335,3316,3316,3298,3298,3291,3291,3269,3269,3263,3263,3211,3211,3202,3202,3156,3156,3147,3147,3146,3146,3096,3096,3091,3091,3069,3069,3056,3056,3054,3054,3000,3000,2985,2985,2982,2982,2974,2974,2915,2915,2861,2861,2842,2842,2788,2788,2783,2783,2779,2779,2755,2755,2748,2748,2744,2744,2732,2732,2726,2726,2716,2716,2635,2635,2601,2601,2565,2565,2541,2541,2519,2519,2516,2516,2511,2511,2508,2508,2488,2488,2463,2463,2452,2452,2444,2444,2383,2383,2376,2376,2368,2368,2338,2338,2337,2337,2295,2295,2267,2267,2243,2243,2242,2242,2186,2186,2182,2182,2169,2169,2145,2145,2137,2137,2121,2121,2112,2112,2102,2102,2090,2090,2083,2083,2081,2081,2065,2065,2060,2060,2044,2044,2031,2031,2024,2024,2023,2023,2014,2014,2008,2008,2005,2005,1985,1985,1968,1968,1966,1966,1961,1961,1960,1960,1958,1958,1947,1947,1917,1917,1901,1901,1899,1899,1896,1896,1893,1893,1865,1865,1861,1861,1848,1848,1839,1839,1829,1829,1828,1828,1825,1825,1758,1758,1747,1747,1744,1744,1741,1741,1737,1737,1727,1727,1725,1725,1723,1723,1722,1722,1712,1712,1703,1703,1700,1700,1695,1695,1686,1686,1685,1685,1679,1679,1678,1678,1677,1677,1668,1668,1658,1658,1649,1649,1637,1637,1633,1633,1628,1628,1623,1623,1621,1621,1620,1620,1619,1619,1618,1618,1614,1614,1613,1613,1606,1606,1605,1605,1604,1604,1584,1584,1579,1579,1570,1570,1558,1558,1554,1554,1550,1550,1548,1548,1545,1545,1544,1544,1539,1539,1529,1529,1528,1528,1526,1526,1516,1516,1512,1512,1507,1507,1503,1503,1501,1501,1498,1498,1489,1489,1472,1472,1448,1448,1435,1435,1385,1385,1271,1271,1076,1076,865,865,487,487,415,415,403,403,121,121,118,118,114,114,105,105,0.0],[82726,82726,82726,78773,78773,70839,70839,59840,59840,54708,54708,52698,52698,49772,49772,47121,47121,44813,44813,38493,38493,38170,38170,34634,34634,31385,31385,28995,28995,26102,26102,24643,24643,22149,22149,21197,21197,20338,20338,19544,19544,17686,17686,17417,17417,17327,17327,17136,17136,17132,17132,17107,17107,16476,16476,14210,14210,13509,13509,13308,13308,11417,11417,11027,11027,10750,10750,10407,10407,10229,10229,8517,8517,8078,8078,7970,7970,7750,7750,6983,6983,6688,6688,6600,6600,6457,6457,6113,6113,5429,5429,5096,5096,4943,4943,4473,4473,4312,4312,3905,3905,3828,3828,3639,3639,3515,3515,3433,3433,3245,3245,2828,2828,2817,2817,2504,2504,2469,2469,2359,2359,2334,2334,2326,2326,2186,2186,1701,1701,1494,1494,1472,1472,1274,1274,939,939,924,924,764,764,697,697,499,499,447,447,405,405,278,278,263,263,199,199,150,150,148,148,146,146,0.0],[47130,47130,47130,38412,38412,34633,34633,31501,31501,30727,30727,29575,29575,27435,27435,26734,26734,24643,24643,23852,23852,23501,23501,22766,22766,19569,19569,19375,19375,19070,19070,17942,17942,17428,17428,17208,17208,16974,16974,16969,16969,16864,16864,16782,16782,15162,15162,14971,14971,14939,14939,14877,14877,14740,14740,14459,14459,12256,12256,11752,11752,11503,11503,11303,11303,11027,11027,10292,10292,10257,10257,10230,10230,10165,10165,9851,9851,9644,9644,9550,9550,9130,9130,8975,8975,8886,8886,8800,8800,8002,8002,7710,7710,7703,7703,7664,7664,7130,7130,6610,6610,6463,6463,6455,6455,6257,6257,6113,6113,5723,5723,5430,5430,5376,5376,5266,5266,5185,5185,5140,5140,5075,5075,4946,4946,4642,4642,4439,4439,4297,4297,4258,4258,3905,3905,3873,3873,3810,3810,3466,3466,3249,3249,3227,3227,2978,2978,2949,2949,2698,2698,2577,2577,2423,2423,2152,2152,2143,2143,1948,1948,1856,1856,1769,1769,1738,1738,1701,1701,1645,1645,1608,1608,1564,1564,1561,1561,1173,1173,836,836,824,824,587,587,405,405,146,146,116,116,0.0],[43268,43268,43268,42979,42979,40548,40548,39728,39728,38493,38493,37454,37454,34234,34234,31983,31983,31892,31892,31748,31748,30420,30420,29145,29145,28478,28478,25052,25052,24644,24644,24314,24314,22689,22689,21890,21890,20924,20924,20788,20788,20338,20338,19544,19544,18717,18717,18699,18699,17997,17997,17337,17337,17325,17325,17097,17097,16295,16295,16161,16161,16146,16146,15993,15993,15872,15872,15628,15628,15417,15417,14384,14384,14253,14253,13999,13999,13848,13848,13716,13716,13509,13509,13447,13447,13403,13403,13305,13305,13009,13009,12370,12370,12110,12110,11807,11807,11692,11692,10913,10913,10365,10365,10041,10041,9424,9424,9330,9330,8761,8761,8517,8517,8436,8436,7750,7750,7548,7548,6983,6983,6687,6687,6435,6435,6284,6284,6219,6219,6161,6161,6113,6113,6062,6062,5892,5892,5890,5890,5877,5877,5826,5826,5794,5794,5574,5574,5429,5429,5376,5376,5278,5278,5065,5065,5008,5008,4650,4650,4640,4640,4398,4398,4312,4312,4270,4270,4248,4248,4214,4214,3826,3826,3704,3704,3559,3559,3396,3396,3292,3292,3244,3244,3109,3109,2805,2805,2749,2749,2611,2611,2359,2359,2326,2326,2318,2318,2235,2235,2165,2165,2139,2139,1921,1921,1883,1883,1856,1856,1795,1795,1719,1719,1701,1701,1686,1686,1680,1680,1613,1613,1585,1585,1574,1574,1535,1535,1417,1417,1091,1091,924,924,499,499,436,436,404,404,371,371,300,300,199,199,0.0],[47764,47764,47764,31789,31789,29724,29724,29396,29396,27788,27788,26049,26049,25611,25611,25007,25007,24405,24405,23384,23384,22214,22214,22042,22042,20926,20926,20322,20322,19002,19002,18647,18647,18336,18336,18262,18262,18153,18153,18025,18025,17940,17940,16324,16324,16103,16103,14746,14746,14227,14227,13723,13723,13616,13616,13486,13486,11999,11999,11856,11856,11623,11623,11250,11250,10960,10960,10835,10835,10729,10729,8800,8800,8766,8766,8215,8215,8181,8181,7701,7701,7434,7434,7237,7237,7014,7014,6610,6610,6518,6518,6139,6139,6026,6026,5959,5959,5908,5908,5364,5364,5141,5141,4850,4850,4811,4811,4364,4364,4318,4318,4098,4098,3905,3905,3429,3429,3216,3216,2980,2980,2975,2975,2972,2972,2863,2863,2729,2729,2254,2254,1917,1917,1769,1769,1535,1535,1472,1472,1150,1150,1064,1064,996,996,921,921,751,751,652,652,601,601,443,443,419,419,95,95,0.0],[117821,117821,117821,72699,72699,64845,64845,62175,62175,59840,59840,56663,56663,52877,52877,51281,51281,48702,48702,48461,48461,44815,44815,44394,44394,41717,41717,38233,38233,34277,34277,33448,33448,31928,31928,31827,31827,30127,30127,28763,28763,26102,26102,25459,25459,24643,24643,24486,24486,23487,23487,22825,22825,22149,22149,20825,20825,20116,20116,18456,18456,17432,17432,17106,17106,15595,15595,14530,14530,13509,13509,13360,13360,13088,13088,11269,11269,10059,10059,9347,9347,8506,8506,7750,7750,7526,7526,6927,6927,6894,6894,6625,6625,5922,5922,5795,5795,5486,5486,5430,5430,5243,5243,5066,5066,4641,4641,4553,4553,4463,4463,4287,4287,4207,4207,3995,3995,3905,3905,3829,3829,3639,3639,3433,3433,3245,3245,2805,2805,2548,2548,2498,2498,2458,2458,2357,2357,2327,2327,2326,2326,2318,2318,2246,2246,2165,2165,2115,2115,2068,2068,2021,2021,2003,2003,1917,1917,1817,1817,1774,1774,1701,1701,1680,1680,1645,1645,1567,1567,1472,1472,1422,1422,1400,1400,1292,1292,947,947,923,923,922,922,655,655,633,633,499,499,487,487,486,486,438,438,114,114,99,99,0.0],[60331,60331,60331,48881,48881,47155,47155,46589,46589,45896,45896,42907,42907,40396,40396,39778,39778,39753,39753,38493,38493,36628,36628,35612,35612,33447,33447,32074,32074,30987,30987,30353,30353,27552,27552,26101,26101,25821,25821,25522,25522,24060,24060,21319,21319,21308,21308,20925,20925,19818,19818,19187,19187,17575,17575,17338,17338,16823,16823,16296,16296,16031,16031,15822,15822,15586,15586,14775,14775,14748,14748,14722,14722,14315,14315,14250,14250,14232,14232,14087,14087,13736,13736,13509,13509,13349,13349,13271,13271,13249,13249,12902,12902,12616,12616,12394,12394,12109,12109,12078,12078,12031,12031,11421,11421,11273,11273,10666,10666,9593,9593,9112,9112,8626,8626,8562,8562,8375,8375,8126,8126,8112,8112,7684,7684,7612,7612,7272,7272,7144,7144,6942,6942,6906,6906,6780,6780,6660,6660,6466,6466,6416,6416,6390,6390,6348,6348,6261,6261,5951,5951,5911,5911,5908,5908,5646,5646,5575,5575,5544,5544,5428,5428,4992,4992,4831,4831,4438,4438,4223,4223,3991,3991,3905,3905,3883,3883,3839,3839,3827,3827,3597,3597,3186,3186,3017,3017,2878,2878,2836,2836,2611,2611,2429,2429,2359,2359,2341,2341,2318,2318,2298,2298,2235,2235,2209,2209,2186,2186,2139,2139,1944,1944,1923,1923,1917,1917,1790,1790,1715,1715,1701,1701,1680,1680,1593,1593,1567,1567,1564,1564,1555,1555,1535,1535,1385,1385,1274,1274,1141,1141,922,922,921,921,836,836,652,652,487,487,464,464,446,446,405,405,379,379,287,287,199,199,198,198,114,114,0.0],[18918,18918,18918,18735,18735,16015,16015,15468,15468,13542,13542,12330,12330,11909,11909,11822,11822,11562,11562,11313,11313,10985,10985,10451,10451,9949,9949,9792,9792,9660,9660,9010,9010,8888,8888,8787,8787,8657,8657,8612,8612,8580,8580,8515,8515,8511,8511,8459,8459,8441,8441,8381,8381,8230,8230,8142,8142,7991,7991,7849,7849,7775,7775,7765,7765,7658,7658,7247,7247,7234,7234,7232,7232,7029,7029,6988,6988,6981,6981,6818,6818,6628,6628,6598,6598,6482,6482,6466,6466,6450,6450,6421,6421,6382,6382,6218,6218,6189,6189,6179,6179,6161,6161,6154,6154,6126,6126,6083,6083,6076,6076,6013,6013,5945,5945,5935,5935,5931,5931,5912,5912,5911,5911,5826,5826,5632,5632,5600,5600,5533,5533,5512,5512,5477,5477,5441,5441,5432,5432,5338,5338,5320,5320,5308,5308,5277,5277,5261,5261,5248,5248,5093,5093,5041,5041,5036,5036,5031,5031,5027,5027,4976,4976,4872,4872,4865,4865,4843,4843,4797,4797,4744,4744,4737,4737,4690,4690,4676,4676,4653,4653,4639,4639,4625,4625,4612,4612,4611,4611,4542,4542,4502,4502,4487,4487,4478,4478,4457,4457,4448,4448,4284,4284,4268,4268,4240,4240,4215,4215,4143,4143,3913,3913,3905,3905,3892,3892,3884,3884,3859,3859,3855,3855,3725,3725,3678,3678,3635,3635,3623,3623,3587,3587,3569,3569,3567,3567,3555,3555,3527,3527,3503,3503,3483,3483,3457,3457,3382,3382,3328,3328,3315,3315,3159,3159,3114,3114,3086,3086,3051,3051,2973,2973,2942,2942,2939,2939,2886,2886,2847,2847,2817,2817,2804,2804,2782,2782,2765,2765,2741,2741,2733,2733,2685,2685,2650,2650,2634,2634,2620,2620,2610,2610,2574,2574,2558,2558,2514,2514,2504,2504,2478,2478,2442,2442,2441,2441,2397,2397,2325,2325,2318,2318,2233,2233,2174,2174,2172,2172,2168,2168,2167,2167,2147,2147,2143,2143,2109,2109,2088,2088,2034,2034,2028,2028,2024,2024,1998,1998,1997,1997,1984,1984,1951,1951,1948,1948,1924,1924,1918,1918,1911,1911,1893,1893,1889,1889,1885,1885,1834,1834,1799,1799,1783,1783,1772,1772,1754,1754,1722,1722,1715,1715,1699,1699,1679,1679,1677,1677,1668,1668,1651,1651,1604,1604,1601,1601,1593,1593,1581,1581,1577,1577,1562,1562,1561,1561,1560,1560,1551,1551,1534,1534,1472,1472,1460,1460,576,576,404,404,356,356,0.0],[35744,35744,35744,24646,24646,22516,22516,22322,22322,20527,20527,20129,20129,19277,19277,18378,18378,16918,16918,16889,16889,16600,16600,16504,16504,16338,16338,16156,16156,16043,16043,15880,15880,15859,15859,15597,15597,13951,13951,13751,13751,13512,13512,12735,12735,12461,12461,12356,12356,12161,12161,11921,11921,11669,11669,10849,10849,10604,10604,10352,10352,10167,10167,10059,10059,9820,9820,9818,9818,9784,9784,9479,9479,9347,9347,9300,9300,9258,9258,9111,9111,9047,9047,8976,8976,8911,8911,8859,8859,8818,8818,8493,8493,8490,8490,8377,8377,8311,8311,8186,8186,8163,8163,8128,8128,8045,8045,7962,7962,7947,7947,7890,7890,7813,7813,7793,7793,7770,7770,7715,7715,7589,7589,7541,7541,7408,7408,7147,7147,7114,7114,7047,7047,6998,6998,6905,6905,6889,6889,6886,6886,6849,6849,6838,6838,6787,6787,6785,6785,6709,6709,6683,6683,6662,6662,6644,6644,6637,6637,6552,6552,6536,6536,6496,6496,6394,6394,6387,6387,6328,6328,6259,6259,6161,6161,6148,6148,6131,6131,6052,6052,5922,5922,5898,5898,5891,5891,5858,5858,5845,5845,5653,5653,5598,5598,5565,5565,5443,5443,5427,5427,5226,5226,5141,5141,5093,5093,5082,5082,5079,5079,5074,5074,4815,4815,4804,4804,4778,4778,4776,4776,4667,4667,4604,4604,4505,4505,4477,4477,4427,4427,4386,4386,4379,4379,4352,4352,4275,4275,4207,4207,4194,4194,4110,4110,4053,4053,4040,4040,4020,4020,4003,4003,3978,3978,3942,3942,3923,3923,3888,3888,3881,3881,3850,3850,3825,3825,3802,3802,3765,3765,3759,3759,3735,3735,3718,3718,3701,3701,3700,3700,3696,3696,3678,3678,3612,3612,3604,3604,3486,3486,3441,3441,3394,3394,3357,3357,3321,3321,3305,3305,3244,3244,3225,3225,3201,3201,3174,3174,3150,3150,3100,3100,3097,3097,3075,3075,3046,3046,3036,3036,3034,3034,3011,3011,2981,2981,2976,2976,2969,2969,2955,2955,2852,2852,2768,2768,2726,2726,2717,2717,2707,2707,2683,2683,2675,2675,2657,2657,2651,2651,2617,2617,2580,2580,2530,2530,2529,2529,2528,2528,2481,2481,2466,2466,2463,2463,2408,2408,2385,2385,2377,2377,2373,2373,2366,2366,2305,2305,2236,2236,2226,2226,2207,2207,2175,2175,2160,2160,2153,2153,2125,2125,2100,2100,2092,2092,2081,2081,2075,2075,2055,2055,2037,2037,2031,2031,2028,2028,2008,2008,2007,2007,1981,1981,1975,1975,1968,1968,1965,1965,1962,1962,1956,1956,1951,1951,1892,1892,1823,1823,1822,1822,1806,1806,1793,1793,1789,1789,1764,1764,1756,1756,1731,1731,1705,1705,1704,1704,1702,1702,1694,1694,1692,1692,1670,1670,1668,1668,1648,1648,1637,1637,1629,1629,1617,1617,1608,1608,1606,1606,1598,1598,1597,1597,1578,1578,1553,1553,1549,1549,1536,1536,1483,1483,1455,1455,1371,1371,1246,1246,1157,1157,896,896,889,889,870,870,863,863,601,601,523,523,371,371,367,367,328,328,140,140,117,117,103,103,0.0],[11135,11135,11135,10370,10370,9624,9624,9051,9051,9021,9021,8895,8895,8815,8815,7987,7987,7864,7864,7702,7702,7513,7513,7320,7320,7065,7065,7063,7063,6963,6963,6938,6938,6758,6758,6600,6600,6449,6449,6304,6304,6257,6257,6099,6099,6074,6074,6059,6059,6015,6015,5859,5859,5823,5823,5750,5750,5741,5741,5737,5737,5636,5636,5607,5607,5593,5593,5569,5569,5459,5459,5447,5447,5332,5332,5250,5250,5242,5242,5232,5232,5033,5033,5030,5030,4984,4984,4983,4983,4836,4836,4823,4823,4799,4799,4789,4789,4762,4762,4748,4748,4616,4616,4447,4447,4402,4402,4400,4400,4397,4397,4396,4396,4392,4392,4331,4331,4301,4301,4298,4298,4263,4263,4257,4257,4223,4223,4176,4176,4152,4152,4116,4116,4114,4114,4101,4101,4095,4095,4048,4048,4030,4030,3902,3902,3867,3867,3832,3832,3812,3812,3808,3808,3797,3797,3785,3785,3775,3775,3744,3744,3730,3730,3728,3728,3720,3720,3680,3680,3645,3645,3638,3638,3628,3628,3620,3620,3619,3619,3585,3585,3584,3584,3581,3581,3548,3548,3538,3538,3506,3506,3480,3480,3478,3478,3460,3460,3422,3422,3408,3408,3398,3398,3397,3397,3376,3376,3360,3360,3348,3348,3305,3305,3278,3278,3265,3265,3257,3257,3233,3233,3222,3222,3176,3176,3164,3164,3160,3160,3144,3144,3118,3118,3110,3110,3109,3109,3105,3105,3066,3066,3045,3045,3042,3042,3041,3041,3037,3037,3016,3016,3012,3012,3005,3005,2992,2992,2991,2991,2988,2988,2973,2973,2959,2959,2951,2951,2947,2947,2940,2940,2939,2939,2908,2908,2898,2898,2895,2895,2891,2891,2889,2889,2882,2882,2881,2881,2876,2876,2869,2869,2863,2863,2861,2861,2846,2846,2834,2834,2827,2827,2825,2825,2819,2819,2813,2813,2812,2812,2804,2804,2785,2785,2748,2748,2745,2745,2742,2742,2731,2731,2728,2728,2719,2719,2713,2713,2706,2706,2686,2686,2628,2628,2607,2607,2599,2599,2594,2594,2582,2582,2581,2581,2579,2579,2562,2562,2555,2555,2546,2546,2536,2536,2530,2530,2512,2512,2473,2473,2472,2472,2467,2467,2447,2447,2442,2442,2430,2430,2427,2427,2421,2421,2413,2413,2410,2410,2384,2384,2383,2383,2375,2375,2374,2374,2368,2368,2355,2355,2350,2350,2349,2349,2348,2348,2336,2336,2335,2335,2325,2325,2307,2307,2295,2295,2292,2292,2288,2288,2279,2279,2273,2273,2264,2264,2256,2256,2253,2253,2250,2250,2248,2248,2223,2223,2218,2218,2217,2217,2215,2215,2212,2212,2196,2196,2178,2178,2176,2176,2175,2175,2162,2162,2154,2154,2140,2140,2137,2137,2134,2134,2131,2131,2126,2126,2122,2122,2103,2103,2098,2098,2094,2094,2088,2088,2076,2076,2060,2060,2056,2056,2043,2043,2032,2032,2024,2024,2015,2015,1990,1990,1975,1975,1969,1969,1962,1962,1952,1952,1940,1940,1936,1936,1932,1932,1906,1906,1903,1903,1885,1885,1881,1881,1876,1876,1874,1874,1867,1867,1866,1866,1840,1840,1831,1831,1828,1828,1826,1826,1821,1821,1816,1816,1814,1814,1810,1810,1801,1801,1797,1797,1795,1795,1791,1791,1788,1788,1783,1783,1776,1776,1770,1770,1768,1768,1764,1764,1751,1751,1746,1746,1742,1742,1740,1740,1734,1734,1731,1731,1726,1726,1710,1710,1707,1707,1705,1705,1704,1704,1700,1700,1694,1694,1693,1693,1671,1671,1669,1669,1660,1660,1659,1659,1657,1657,1646,1646,1634,1634,1632,1632,1616,1616,1611,1611,1602,1602,1586,1586,1584,1584,1579,1579,1574,1574,1549,1549,1545,1545,1542,1542,1541,1541,1527,1527,1523,1523,1521,1521,1519,1519,1517,1517,1516,1516,1511,1511,1507,1507,1506,1506,1503,1503,1484,1484,1476,1476,1297,1297,1274,1274,1189,1189,1139,1139,1131,1131,1130,1130,1128,1128,1120,1120,1076,1076,1008,1008,870,870,807,807,720,720,545,545,523,523,510,510,435,435,414,414,364,364,325,325,183,183,143,143,141,141,140,140,84,84,65,65,0.0],[28650,28650,28650,27323,27323,24456,24456,24317,24317,22757,22757,21037,21037,20390,20390,19974,19974,19914,19914,17831,17831,17510,17510,16106,16106,15831,15831,15281,15281,13935,13935,13902,13902,13860,13860,13501,13501,13441,13441,13239,13239,13122,13122,12939,12939,12536,12536,12473,12473,12309,12309,11627,11627,11494,11494,11247,11247,11050,11050,11021,11021,10724,10724,10715,10715,10363,10363,10352,10352,10203,10203,10171,10171,10163,10163,9909,9909,9882,9882,9839,9839,9803,9803,9280,9280,8792,8792,8756,8756,8700,8700,8681,8681,8320,8320,7968,7968,7916,7916,7833,7833,7772,7772,7766,7766,7702,7702,7693,7693,7680,7680,7576,7576,7447,7447,7263,7263,6956,6956,6954,6954,6873,6873,6850,6850,6826,6826,6800,6800,6757,6757,6662,6662,6651,6651,6580,6580,6515,6515,6442,6442,6350,6350,6285,6285,6031,6031,6018,6018,6013,6013,6003,6003,6000,6000,5937,5937,5935,5935,5886,5886,5854,5854,5819,5819,5802,5802,5772,5772,5735,5735,5634,5634,5621,5621,5557,5557,5465,5465,5413,5413,5354,5354,5353,5353,5339,5339,5320,5320,5315,5315,5312,5312,5237,5237,5211,5211,5072,5072,5033,5033,5000,5000,4966,4966,4928,4928,4898,4898,4876,4876,4835,4835,4784,4784,4778,4778,4743,4743,4687,4687,4669,4669,4661,4661,4578,4578,4568,4568,4555,4555,4535,4535,4510,4510,4507,4507,4499,4499,4410,4410,4382,4382,4306,4306,4288,4288,4283,4283,4252,4252,4242,4242,4219,4219,4138,4138,4135,4135,3977,3977,3872,3872,3823,3823,3791,3791,3765,3765,3749,3749,3690,3690,3632,3632,3593,3593,3592,3592,3587,3587,3524,3524,3499,3499,3473,3473,3468,3468,3453,3453,3443,3443,3414,3414,3398,3398,3351,3351,3336,3336,3328,3328,3322,3322,3259,3259,3231,3231,3230,3230,3190,3190,3181,3181,3157,3157,3141,3141,3138,3138,3133,3133,3064,3064,3040,3040,3018,3018,2999,2999,2924,2924,2880,2880,2837,2837,2766,2766,2764,2764,2748,2748,2733,2733,2704,2704,2694,2694,2684,2684,2633,2633,2629,2629,2608,2608,2605,2605,2594,2594,2553,2553,2551,2551,2550,2550,2521,2521,2511,2511,2495,2495,2449,2449,2388,2388,2387,2387,2348,2348,2339,2339,2328,2328,2323,2323,2300,2300,2292,2292,2259,2259,2242,2242,2207,2207,2197,2197,2172,2172,2156,2156,2147,2147,2126,2126,2117,2117,2115,2115,2098,2098,2080,2080,2056,2056,2054,2054,2026,2026,2005,2005,2003,2003,1931,1931,1928,1928,1921,1921,1897,1897,1875,1875,1870,1870,1869,1869,1865,1865,1857,1857,1759,1759,1758,1758,1756,1756,1754,1754,1739,1739,1723,1723,1702,1702,1698,1698,1684,1684,1678,1678,1670,1670,1669,1669,1648,1648,1642,1642,1639,1639,1635,1635,1601,1601,1597,1597,1581,1581,1576,1576,1569,1569,1561,1561,1535,1535,1513,1513,1476,1476,1473,1473,1458,1458,1415,1415,1370,1370,1313,1313,1040,1040,908,908,907,907,780,780,751,751,710,710,649,649,542,542,523,523,504,504,486,486,429,429,322,322,185,185,94,94,84,84,82,82,65,65,0.0],[29232,29232,29232,22503,22503,21155,21155,19287,19287,18482,18482,17296,17296,16951,16951,16718,16718,15070,15070,14663,14663,14595,14595,13913,13913,13723,13723,13579,13579,13455,13455,13268,13268,13218,13218,13128,13128,12880,12880,12822,12822,12561,12561,12523,12523,12419,12419,12417,12417,11637,11637,11331,11331,11133,11133,10838,10838,10775,10775,10597,10597,10134,10134,10103,10103,10036,10036,9886,9886,9871,9871,9725,9725,9680,9680,9241,9241,9042,9042,8990,8990,8950,8950,8939,8939,8894,8894,8844,8844,8616,8616,8563,8563,8278,8278,8019,8019,7991,7991,7981,7981,7942,7942,7931,7931,7897,7897,7872,7872,7670,7670,7658,7658,7448,7448,7437,7437,7300,7300,7185,7185,7182,7182,7044,7044,6969,6969,6898,6898,6810,6810,6712,6712,6699,6699,6695,6695,6662,6662,6432,6432,6354,6354,6254,6254,6153,6153,6148,6148,6098,6098,6092,6092,6056,6056,6034,6034,5988,5988,5935,5935,5899,5899,5796,5796,5780,5780,5737,5737,5716,5716,5707,5707,5637,5637,5615,5615,5600,5600,5582,5582,5563,5563,5551,5551,5492,5492,5488,5488,5451,5451,5431,5431,5415,5415,5312,5312,5276,5276,5206,5206,5204,5204,5151,5151,5016,5016,5004,5004,4911,4911,4889,4889,4809,4809,4766,4766,4700,4700,4652,4652,4569,4569,4539,4539,4525,4525,4517,4517,4505,4505,4500,4500,4492,4492,4465,4465,4457,4457,4430,4430,4378,4378,4332,4332,4286,4286,4214,4214,4208,4208,4203,4203,4012,4012,4002,4002,3868,3868,3847,3847,3836,3836,3830,3830,3793,3793,3784,3784,3780,3780,3715,3715,3642,3642,3611,3611,3596,3596,3588,3588,3571,3571,3552,3552,3549,3549,3493,3493,3490,3490,3457,3457,3445,3445,3414,3414,3399,3399,3398,3398,3395,3395,3392,3392,3389,3389,3368,3368,3350,3350,3311,3311,3300,3300,3297,3297,3281,3281,3276,3276,3242,3242,3216,3216,3200,3200,3171,3171,3169,3169,3166,3166,3145,3145,3118,3118,3088,3088,3046,3046,3018,3018,3005,3005,2962,2962,2934,2934,2932,2932,2908,2908,2888,2888,2875,2875,2866,2866,2847,2847,2822,2822,2812,2812,2748,2748,2739,2739,2737,2737,2712,2712,2699,2699,2695,2695,2662,2662,2635,2635,2606,2606,2604,2604,2561,2561,2553,2553,2546,2546,2525,2525,2476,2476,2463,2463,2439,2439,2437,2437,2420,2420,2407,2407,2339,2339,2209,2209,2197,2197,2196,2196,2187,2187,2164,2164,2162,2162,2149,2149,2146,2146,2142,2142,2124,2124,2121,2121,2116,2116,2067,2067,2056,2056,2055,2055,2025,2025,2005,2005,2003,2003,1996,1996,1972,1972,1931,1931,1929,1929,1917,1917,1916,1916,1885,1885,1873,1873,1871,1871,1866,1866,1855,1855,1830,1830,1824,1824,1767,1767,1764,1764,1750,1750,1731,1731,1686,1686,1677,1677,1665,1665,1657,1657,1650,1650,1646,1646,1629,1629,1584,1584,1582,1582,1579,1579,1552,1552,1548,1548,1541,1541,1539,1539,1534,1534,1519,1519,1508,1508,1506,1506,1503,1503,1306,1306,1284,1284,1060,1060,870,870,745,745,649,649,648,648,573,573,523,523,466,466,371,371,364,364,329,329,328,328,274,274,140,140,103,103,84,84,0.0],[10797,10797,10797,10746,10746,10275,10275,9932,9932,9032,9032,8853,8853,8196,8196,7821,7821,7755,7755,7705,7705,7532,7532,7524,7524,7511,7511,7446,7446,7032,7032,7004,7004,6472,6472,6440,6440,6294,6294,6199,6199,6142,6142,6137,6137,6077,6077,6063,6063,6048,6048,5966,5966,5813,5813,5784,5784,5630,5630,5578,5578,5577,5577,5576,5576,5572,5572,5517,5517,5430,5430,5369,5369,5263,5263,5238,5238,5195,5195,5128,5128,5039,5039,4942,4942,4939,4939,4907,4907,4902,4902,4893,4893,4877,4877,4834,4834,4778,4778,4752,4752,4731,4731,4625,4625,4613,4613,4503,4503,4479,4479,4443,4443,4313,4313,4292,4292,4274,4274,4271,4271,4250,4250,4189,4189,4169,4169,4160,4160,4130,4130,4122,4122,4108,4108,3983,3983,3953,3953,3949,3949,3936,3936,3928,3928,3921,3921,3894,3894,3875,3875,3859,3859,3854,3854,3794,3794,3774,3774,3769,3769,3755,3755,3739,3739,3725,3725,3718,3718,3716,3716,3698,3698,3696,3696,3686,3686,3644,3644,3635,3635,3576,3576,3570,3570,3553,3553,3530,3530,3518,3518,3498,3498,3496,3496,3487,3487,3483,3483,3479,3479,3468,3468,3452,3452,3438,3438,3411,3411,3407,3407,3369,3369,3343,3343,3291,3291,3228,3228,3218,3218,3211,3211,3140,3140,3137,3137,3120,3120,3114,3114,3101,3101,3086,3086,3075,3075,3070,3070,3044,3044,3041,3041,3031,3031,3026,3026,3018,3018,3013,3013,2982,2982,2942,2942,2938,2938,2894,2894,2886,2886,2839,2839,2835,2835,2832,2832,2823,2823,2812,2812,2799,2799,2796,2796,2786,2786,2777,2777,2765,2765,2759,2759,2756,2756,2746,2746,2728,2728,2725,2725,2708,2708,2704,2704,2703,2703,2696,2696,2687,2687,2686,2686,2653,2653,2644,2644,2643,2643,2641,2641,2628,2628,2592,2592,2588,2588,2573,2573,2563,2563,2557,2557,2549,2549,2548,2548,2534,2534,2519,2519,2508,2508,2497,2497,2494,2494,2479,2479,2478,2478,2457,2457,2451,2451,2447,2447,2445,2445,2441,2441,2416,2416,2412,2412,2408,2408,2407,2407,2400,2400,2391,2391,2389,2389,2371,2371,2329,2329,2323,2323,2315,2315,2312,2312,2303,2303,2295,2295,2291,2291,2276,2276,2265,2265,2260,2260,2250,2250,2248,2248,2233,2233,2228,2228,2220,2220,2213,2213,2210,2210,2207,2207,2201,2201,2197,2197,2187,2187,2164,2164,2153,2153,2144,2144,2123,2123,2121,2121,2112,2112,2111,2111,2094,2094,2084,2084,2082,2082,2081,2081,2076,2076,2057,2057,2052,2052,2044,2044,2038,2038,2034,2034,2013,2013,2011,2011,2007,2007,1998,1998,1991,1991,1986,1986,1979,1979,1977,1977,1969,1969,1963,1963,1962,1962,1955,1955,1951,1951,1943,1943,1941,1941,1937,1937,1936,1936,1930,1930,1920,1920,1904,1904,1902,1902,1900,1900,1896,1896,1890,1890,1889,1889,1883,1883,1878,1878,1873,1873,1871,1871,1870,1870,1866,1866,1865,1865,1859,1859,1856,1856,1845,1845,1839,1839,1833,1833,1832,1832,1825,1825,1821,1821,1818,1818,1814,1814,1806,1806,1799,1799,1794,1794,1785,1785,1775,1775,1769,1769,1767,1767,1757,1757,1756,1756,1750,1750,1742,1742,1738,1738,1730,1730,1723,1723,1711,1711,1710,1710,1708,1708,1701,1701,1700,1700,1696,1696,1692,1692,1689,1689,1688,1688,1682,1682,1680,1680,1679,1679,1666,1666,1665,1665,1658,1658,1656,1656,1649,1649,1643,1643,1634,1634,1631,1631,1626,1626,1625,1625,1623,1623,1618,1618,1617,1617,1613,1613,1592,1592,1587,1587,1583,1583,1581,1581,1570,1570,1567,1567,1558,1558,1550,1550,1546,1546,1538,1538,1534,1534,1533,1533,1532,1532,1524,1524,1512,1512,1507,1507,1476,1476,1474,1474,1447,1447,1413,1413,1295,1295,1292,1292,1237,1237,1222,1222,1188,1188,1090,1090,1033,1033,881,881,843,843,717,717,695,695,680,680,622,622,554,554,497,497,474,474,436,436,419,419,366,366,291,291,268,268,262,262,257,257,237,237,142,142,87,87,84,84,65,65,0.0],[20454,20454,20454,18906,18906,18135,18135,15745,15745,15587,15587,15557,15557,15045,15045,14619,14619,14153,14153,14100,14100,14020,14020,13240,13240,13126,13126,12915,12915,12871,12871,12493,12493,11822,11822,11509,11509,11453,11453,11284,11284,11089,11089,10828,10828,10576,10576,10533,10533,10225,10225,10159,10159,9937,9937,9910,9910,9759,9759,9715,9715,9640,9640,9388,9388,9268,9268,9254,9254,9099,9099,8901,8901,8824,8824,8803,8803,8782,8782,8705,8705,8667,8667,8638,8638,8601,8601,8423,8423,8419,8419,8232,8232,8210,8210,8202,8202,8186,8186,7963,7963,7960,7960,7910,7910,7886,7886,7771,7771,7766,7766,7743,7743,7671,7671,7649,7649,7609,7609,7484,7484,7359,7359,7290,7290,7234,7234,7167,7167,7044,7044,7039,7039,7038,7038,6972,6972,6965,6965,6924,6924,6921,6921,6904,6904,6884,6884,6881,6881,6741,6741,6687,6687,6622,6622,6596,6596,6517,6517,6511,6511,6485,6485,6428,6428,6407,6407,6333,6333,6294,6294,6288,6288,6156,6156,6089,6089,6020,6020,5927,5927,5920,5920,5878,5878,5851,5851,5842,5842,5768,5768,5767,5767,5731,5731,5686,5686,5663,5663,5525,5525,5519,5519,5445,5445,5420,5420,5415,5415,5413,5413,5410,5410,5385,5385,5380,5380,5372,5372,5356,5356,5291,5291,5214,5214,5184,5184,5164,5164,5163,5163,5096,5096,4939,4939,4931,4931,4922,4922,4874,4874,4861,4861,4789,4789,4701,4701,4645,4645,4637,4637,4634,4634,4587,4587,4534,4534,4504,4504,4498,4498,4444,4444,4441,4441,4392,4392,4378,4378,4316,4316,4294,4294,4275,4275,4266,4266,4264,4264,4253,4253,4241,4241,4167,4167,4166,4166,4130,4130,4049,4049,4047,4047,4028,4028,4017,4017,3985,3985,3933,3933,3922,3922,3919,3919,3834,3834,3787,3787,3765,3765,3730,3730,3624,3624,3542,3542,3535,3535,3506,3506,3436,3436,3379,3379,3351,3351,3316,3316,3300,3300,3292,3292,3264,3264,3203,3203,3185,3185,3168,3168,3116,3116,3114,3114,3105,3105,3103,3103,3044,3044,3042,3042,3038,3038,3027,3027,2998,2998,2988,2988,2987,2987,2967,2967,2965,2965,2962,2962,2941,2941,2934,2934,2894,2894,2880,2880,2860,2860,2856,2856,2848,2848,2835,2835,2821,2821,2771,2771,2725,2725,2715,2715,2672,2672,2658,2658,2654,2654,2627,2627,2608,2608,2598,2598,2581,2581,2567,2567,2541,2541,2515,2515,2507,2507,2503,2503,2493,2493,2486,2486,2448,2448,2445,2445,2399,2399,2369,2369,2352,2352,2351,2351,2347,2347,2334,2334,2333,2333,2296,2296,2291,2291,2280,2280,2241,2241,2239,2239,2232,2232,2210,2210,2203,2203,2194,2194,2193,2193,2176,2176,2175,2175,2171,2171,2136,2136,2131,2131,2130,2130,2113,2113,2105,2105,2104,2104,2083,2083,2044,2044,2035,2035,2033,2033,1959,1959,1952,1952,1948,1948,1941,1941,1922,1922,1907,1907,1902,1902,1890,1890,1868,1868,1820,1820,1804,1804,1781,1781,1771,1771,1768,1768,1735,1735,1729,1729,1715,1715,1696,1696,1685,1685,1673,1673,1670,1670,1660,1660,1639,1639,1621,1621,1604,1604,1582,1582,1541,1541,1510,1510,1399,1399,1299,1299,1258,1258,1218,1218,1180,1180,1027,1027,979,979,870,870,729,729,695,695,687,687,664,664,523,523,371,371,364,364,328,328,310,310,218,218,162,162,82,82,80,80,71,71,65,65,0.0],[30586,30586,30586,25762,25762,24860,24860,24736,24736,23133,23133,21814,21814,20158,20158,19931,19931,18924,18924,18843,18843,17737,17737,17656,17656,16541,16541,16025,16025,15443,15443,14288,14288,14103,14103,14045,14045,13974,13974,13393,13393,12845,12845,12475,12475,12379,12379,12212,12212,12172,12172,12095,12095,12041,12041,12039,12039,12003,12003,11868,11868,11370,11370,11275,11275,11248,11248,11121,11121,10666,10666,10611,10611,10591,10591,10584,10584,10483,10483,10360,10360,10321,10321,10138,10138,10097,10097,9259,9259,9142,9142,9057,9057,8175,8175,8165,8165,8146,8146,8120,8120,8119,8119,8102,8102,8043,8043,8038,8038,7936,7936,7853,7853,7756,7756,7755,7755,7531,7531,7486,7486,7363,7363,7288,7288,7191,7191,7136,7136,7061,7061,7001,7001,6976,6976,6967,6967,6952,6952,6940,6940,6738,6738,6684,6684,6662,6662,6630,6630,6611,6611,6603,6603,6587,6587,6526,6526,6298,6298,6269,6269,6239,6239,6072,6072,6030,6030,5953,5953,5904,5904,5870,5870,5861,5861,5852,5852,5824,5824,5802,5802,5732,5732,5686,5686,5606,5606,5589,5589,5467,5467,5405,5405,5319,5319,5314,5314,5279,5279,5269,5269,5202,5202,5200,5200,5080,5080,5054,5054,5044,5044,4990,4990,4951,4951,4919,4919,4690,4690,4676,4676,4642,4642,4634,4634,4626,4626,4623,4623,4600,4600,4598,4598,4592,4592,4576,4576,4556,4556,4550,4550,4515,4515,4495,4495,4470,4470,4452,4452,4427,4427,4417,4417,4358,4358,4349,4349,4331,4331,4282,4282,4272,4272,4250,4250,4220,4220,4148,4148,4128,4128,4094,4094,4063,4063,3943,3943,3889,3889,3765,3765,3760,3760,3758,3758,3756,3756,3735,3735,3729,3729,3713,3713,3685,3685,3671,3671,3657,3657,3551,3551,3548,3548,3508,3508,3451,3451,3437,3437,3375,3375,3361,3361,3162,3162,3158,3158,3149,3149,3136,3136,3130,3130,3067,3067,3058,3058,3028,3028,3016,3016,3002,3002,2965,2965,2845,2845,2823,2823,2812,2812,2798,2798,2796,2796,2727,2727,2699,2699,2679,2679,2658,2658,2648,2648,2591,2591,2506,2506,2437,2437,2430,2430,2408,2408,2406,2406,2363,2363,2362,2362,2305,2305,2297,2297,2293,2293,2284,2284,2280,2280,2251,2251,2237,2237,2236,2236,2207,2207,2190,2190,2116,2116,2111,2111,2089,2089,2075,2075,2071,2071,2048,2048,2037,2037,2029,2029,1954,1954,1929,1929,1916,1916,1910,1910,1897,1897,1877,1877,1853,1853,1822,1822,1803,1803,1777,1777,1762,1762,1754,1754,1743,1743,1693,1693,1658,1658,1601,1601,1600,1600,1586,1586,1575,1575,1567,1567,1564,1564,1546,1546,1536,1536,1529,1529,1527,1527,1526,1526,1507,1507,1429,1429,1414,1414,1323,1323,1299,1299,1129,1129,826,826,817,817,763,763,762,762,725,725,706,706,627,627,617,617,556,556,523,523,475,475,430,430,381,381,371,371,368,368,366,366,328,328,202,202,198,198,167,167,150,150,135,135,120,120,90,90,76,76,0.0],[72150,72150,72150,62372,62372,61802,61802,60157,60157,57622,57622,53391,53391,49480,49480,48446,48446,47901,47901,46569,46569,45596,45596,43533,43533,42375,42375,40661,40661,38944,38944,35904,35904,34169,34169,33039,33039,31446,31446,28281,28281,28058,28058,24641,24641,23012,23012,22346,22346,20607,20607,19828,19828,19511,19511,18793,18793,18375,18375,18370,18370,18060,18060,17772,17772,17108,17108,16561,16561,14238,14238,13807,13807,13430,13430,13402,13402,13342,13342,13277,13277,12941,12941,12931,12931,12729,12729,12266,12266,11806,11806,11634,11634,11422,11422,11358,11358,9685,9685,9654,9654,9256,9256,9185,9185,9153,9153,8781,8781,8775,8775,8504,8504,7882,7882,7653,7653,7153,7153,6890,6890,6774,6774,6741,6741,6108,6108,5861,5861,5813,5813,5462,5462,5423,5423,5301,5301,4349,4349,3877,3877,3762,3762,3744,3744,3544,3544,3456,3456,3310,3310,3235,3235,3183,3183,2719,2719,2437,2437,2428,2428,2318,2318,2246,2246,2150,2150,2100,2100,1929,1929,1863,1863,1483,1483,1403,1403,1092,1092,907,907,762,762,676,676,608,608,523,523,433,433,325,325,240,240,236,236,143,143,90,90,0.0],[21163,21163,21163,14113,14113,14009,14009,12611,12611,11793,11793,11483,11483,11327,11327,10623,10623,10574,10574,10364,10364,10189,10189,9144,9144,9134,9134,9079,9079,8951,8951,8777,8777,8756,8756,8683,8683,8274,8274,7765,7765,7702,7702,7664,7664,7588,7588,7385,7385,7347,7347,7269,7269,7263,7263,7155,7155,7148,7148,7131,7131,6834,6834,6779,6779,6774,6774,6738,6738,6686,6686,6662,6662,6654,6654,6622,6622,6510,6510,6375,6375,6361,6361,6283,6283,6269,6269,6253,6253,6161,6161,6016,6016,5907,5907,5892,5892,5834,5834,5720,5720,5688,5688,5658,5658,5648,5648,5621,5621,5567,5567,5508,5508,5477,5477,5463,5463,5445,5445,5414,5414,5406,5406,5354,5354,5337,5337,5276,5276,5213,5213,5205,5205,5193,5193,5184,5184,5157,5157,5152,5152,5094,5094,5069,5069,5036,5036,5016,5016,4920,4920,4917,4917,4916,4916,4888,4888,4840,4840,4831,4831,4827,4827,4826,4826,4818,4818,4800,4800,4740,4740,4696,4696,4675,4675,4659,4659,4598,4598,4590,4590,4584,4584,4560,4560,4554,4554,4530,4530,4465,4465,4460,4460,4459,4459,4433,4433,4423,4423,4415,4415,4402,4402,4401,4401,4335,4335,4288,4288,4238,4238,4221,4221,4209,4209,4202,4202,4184,4184,4162,4162,4159,4159,4086,4086,4080,4080,4041,4041,3956,3956,3947,3947,3865,3865,3801,3801,3792,3792,3790,3790,3678,3678,3674,3674,3635,3635,3631,3631,3621,3621,3585,3585,3563,3563,3531,3531,3524,3524,3514,3514,3508,3508,3497,3497,3469,3469,3456,3456,3452,3452,3445,3445,3374,3374,3371,3371,3298,3298,3283,3283,3282,3282,3268,3268,3242,3242,3223,3223,3213,3213,3181,3181,3173,3173,3163,3163,3158,3158,3141,3141,3136,3136,3110,3110,3095,3095,3083,3083,3075,3075,3058,3058,3056,3056,3013,3013,3007,3007,3005,3005,2997,2997,2945,2945,2944,2944,2933,2933,2931,2931,2900,2900,2850,2850,2831,2831,2821,2821,2817,2817,2808,2808,2799,2799,2786,2786,2776,2776,2756,2756,2754,2754,2747,2747,2743,2743,2730,2730,2727,2727,2722,2722,2719,2719,2705,2705,2687,2687,2623,2623,2620,2620,2608,2608,2605,2605,2599,2599,2596,2596,2583,2583,2539,2539,2536,2536,2532,2532,2531,2531,2468,2468,2466,2466,2460,2460,2459,2459,2445,2445,2433,2433,2416,2416,2395,2395,2384,2384,2381,2381,2379,2379,2357,2357,2346,2346,2343,2343,2335,2335,2328,2328,2315,2315,2304,2304,2302,2302,2269,2269,2260,2260,2258,2258,2250,2250,2199,2199,2198,2198,2192,2192,2172,2172,2161,2161,2160,2160,2157,2157,2156,2156,2153,2153,2150,2150,2137,2137,2110,2110,2102,2102,2100,2100,2098,2098,2097,2097,2095,2095,2092,2092,2083,2083,2074,2074,2058,2058,2050,2050,2041,2041,2040,2040,2039,2039,2038,2038,2034,2034,2030,2030,2024,2024,2019,2019,2005,2005,1998,1998,1991,1991,1982,1982,1966,1966,1963,1963,1950,1950,1942,1942,1941,1941,1925,1925,1921,1921,1919,1919,1910,1910,1901,1901,1898,1898,1884,1884,1883,1883,1879,1879,1875,1875,1870,1870,1869,1869,1851,1851,1841,1841,1839,1839,1826,1826,1825,1825,1817,1817,1808,1808,1802,1802,1788,1788,1781,1781,1770,1770,1768,1768,1760,1760,1740,1740,1722,1722,1716,1716,1714,1714,1708,1708,1697,1697,1694,1694,1687,1687,1685,1685,1683,1683,1675,1675,1673,1673,1665,1665,1662,1662,1658,1658,1653,1653,1650,1650,1644,1644,1640,1640,1634,1634,1628,1628,1616,1616,1596,1596,1585,1585,1579,1579,1578,1578,1570,1570,1554,1554,1518,1518,1514,1514,1508,1508,1506,1506,1419,1419,1417,1417,1397,1397,1366,1366,1348,1348,1196,1196,1122,1122,1023,1023,942,942,891,891,881,881,877,877,649,649,523,523,503,503,387,387,371,371,364,364,356,356,349,349,340,340,315,315,247,247,140,140,65,65,0.0],[55472,55472,55472,50781,50781,46835,46835,43559,43559,40325,40325,39363,39363,38272,38272,37493,37493,35797,35797,33662,33662,28736,28736,28512,28512,27698,27698,25635,25635,24641,24641,24606,24606,24422,24422,23979,23979,23634,23634,22877,22877,21817,21817,21307,21307,18707,18707,18650,18650,18402,18402,17924,17924,17763,17763,17513,17513,17091,17091,16807,16807,14813,14813,14586,14586,14444,14444,14430,14430,13903,13903,13457,13457,13454,13454,13451,13451,13357,13357,13294,13294,12778,12778,12289,12289,12113,12113,11951,11951,11500,11500,11417,11417,11022,11022,10867,10867,10712,10712,9925,9925,9743,9743,9560,9560,9524,9524,9201,9201,9175,9175,8851,8851,8412,8412,8407,8407,8346,8346,8252,8252,8213,8213,8028,8028,8023,8023,7963,7963,7830,7830,7136,7136,6963,6963,6958,6958,6955,6955,6901,6901,6813,6813,6801,6801,6779,6779,6636,6636,6547,6547,6429,6429,6398,6398,6240,6240,6120,6120,6036,6036,5798,5798,5708,5708,5607,5607,5566,5566,5437,5437,5277,5277,5166,5166,4877,4877,4738,4738,4547,4547,4532,4532,4500,4500,4434,4434,4414,4414,4399,4399,4341,4341,4173,4173,4093,4093,4037,4037,3916,3916,3754,3754,3744,3744,3715,3715,3605,3605,3545,3545,3458,3458,3372,3372,3328,3328,3256,3256,3228,3228,3215,3215,3211,3211,3138,3138,3087,3087,3024,3024,3017,3017,2748,2748,2719,2719,2705,2705,2665,2665,2653,2653,2602,2602,2556,2556,2353,2353,2298,2298,2282,2282,2044,2044,2027,2027,2010,2010,1987,1987,1974,1974,1950,1950,1912,1912,1910,1910,1846,1846,1841,1841,1723,1723,1700,1700,1672,1672,1640,1640,1559,1559,1553,1553,1528,1528,1515,1515,1447,1447,1417,1417,1409,1409,1118,1118,1064,1064,957,957,870,870,824,824,802,802,762,762,680,680,661,661,627,627,584,584,568,568,546,546,523,523,371,371,367,367,347,347,328,328,325,325,290,290,269,269,202,202,167,167,143,143,138,138,135,135,120,120,109,109,107,107,106,106,93,93,90,90,82,82,0.0],[21285,21285,21285,20425,20425,18148,18148,17518,17518,15036,15036,15020,15020,14811,14811,14634,14634,14301,14301,13957,13957,13551,13551,13527,13527,13255,13255,13185,13185,13020,13020,12440,12440,12101,12101,11594,11594,11549,11549,10938,10938,10856,10856,10387,10387,10225,10225,10219,10219,9850,9850,9756,9756,9583,9583,9553,9553,9410,9410,9310,9310,9195,9195,9163,9163,9120,9120,9005,9005,8744,8744,8659,8659,8643,8643,8594,8594,8406,8406,8382,8382,8352,8352,8344,8344,8252,8252,8087,8087,7905,7905,7860,7860,7797,7797,7674,7674,7656,7656,7648,7648,7588,7588,7549,7549,7481,7481,7399,7399,7372,7372,7349,7349,7310,7310,7087,7087,7050,7050,6996,6996,6972,6972,6925,6925,6872,6872,6817,6817,6806,6806,6786,6786,6768,6768,6759,6759,6739,6739,6682,6682,6662,6662,6641,6641,6564,6564,6487,6487,6445,6445,6391,6391,6282,6282,6221,6221,6116,6116,5973,5973,5898,5898,5875,5875,5868,5868,5859,5859,5849,5849,5837,5837,5692,5692,5604,5604,5601,5601,5589,5589,5555,5555,5480,5480,5471,5471,5445,5445,5432,5432,5393,5393,5334,5334,5322,5322,5283,5283,5281,5281,5270,5270,5197,5197,5180,5180,5152,5152,5132,5132,5121,5121,5111,5111,5007,5007,4947,4947,4939,4939,4909,4909,4889,4889,4830,4830,4781,4781,4768,4768,4740,4740,4598,4598,4561,4561,4507,4507,4503,4503,4486,4486,4471,4471,4442,4442,4422,4422,4411,4411,4399,4399,4393,4393,4365,4365,4289,4289,4256,4256,4231,4231,4184,4184,4098,4098,4093,4093,4092,4092,4088,4088,4073,4073,4043,4043,4039,4039,4038,4038,3937,3937,3931,3931,3886,3886,3823,3823,3820,3820,3771,3771,3758,3758,3709,3709,3706,3706,3648,3648,3577,3577,3563,3563,3554,3554,3536,3536,3532,3532,3470,3470,3439,3439,3427,3427,3412,3412,3387,3387,3374,3374,3371,3371,3364,3364,3330,3330,3278,3278,3259,3259,3242,3242,3231,3231,3222,3222,3204,3204,3195,3195,3189,3189,3140,3140,3104,3104,3081,3081,3060,3060,3047,3047,3009,3009,3008,3008,3006,3006,2981,2981,2971,2971,2966,2966,2957,2957,2945,2945,2856,2856,2840,2840,2827,2827,2789,2789,2778,2778,2711,2711,2701,2701,2657,2657,2651,2651,2608,2608,2586,2586,2561,2561,2557,2557,2544,2544,2529,2529,2504,2504,2491,2491,2460,2460,2459,2459,2443,2443,2441,2441,2436,2436,2395,2395,2385,2385,2358,2358,2355,2355,2331,2331,2330,2330,2327,2327,2323,2323,2321,2321,2278,2278,2272,2272,2268,2268,2246,2246,2224,2224,2222,2222,2181,2181,2174,2174,2125,2125,2093,2093,2080,2080,2069,2069,2057,2057,2046,2046,2026,2026,2021,2021,1993,1993,1987,1987,1984,1984,1970,1970,1948,1948,1944,1944,1939,1939,1936,1936,1926,1926,1903,1903,1895,1895,1884,1884,1866,1866,1850,1850,1838,1838,1829,1829,1814,1814,1809,1809,1789,1789,1771,1771,1767,1767,1760,1760,1755,1755,1731,1731,1724,1724,1702,1702,1701,1701,1686,1686,1666,1666,1650,1650,1640,1640,1630,1630,1591,1591,1552,1552,1547,1547,1536,1536,1528,1528,1514,1514,1513,1513,1336,1336,1279,1279,924,924,907,907,872,872,870,870,847,847,842,842,740,740,725,725,690,690,523,523,431,431,371,371,217,217,156,156,152,152,139,139,116,116,84,84,0.0],[12110,12110,12110,9439,9439,8113,8113,7759,7759,7698,7698,7178,7178,6838,6838,6794,6794,6760,6760,6589,6589,6486,6486,6055,6055,5974,5974,5967,5967,5948,5948,5739,5739,5676,5676,5621,5621,5569,5569,5552,5552,5551,5551,5541,5541,5503,5503,5480,5480,5464,5464,5429,5429,5266,5266,5242,5242,5232,5232,4986,4986,4968,4968,4940,4940,4830,4830,4813,4813,4756,4756,4741,4741,4732,4732,4694,4694,4605,4605,4553,4553,4498,4498,4487,4487,4469,4469,4303,4303,4286,4286,4263,4263,4259,4259,4256,4256,4249,4249,4248,4248,4099,4099,4090,4090,4060,4060,4047,4047,3980,3980,3976,3976,3933,3933,3889,3889,3872,3872,3852,3852,3792,3792,3787,3787,3771,3771,3728,3728,3710,3710,3699,3699,3683,3683,3599,3599,3567,3567,3559,3559,3547,3547,3538,3538,3485,3485,3472,3472,3458,3458,3455,3455,3408,3408,3405,3405,3397,3397,3371,3371,3367,3367,3298,3298,3273,3273,3271,3271,3261,3261,3228,3228,3223,3223,3217,3217,3203,3203,3182,3182,3174,3174,3163,3163,3157,3157,3145,3145,3139,3139,3107,3107,3104,3104,3092,3092,3072,3072,3038,3038,3029,3029,3024,3024,3019,3019,3004,3004,2977,2977,2974,2974,2973,2973,2957,2957,2950,2950,2942,2942,2938,2938,2928,2928,2927,2927,2920,2920,2908,2908,2906,2906,2901,2901,2897,2897,2888,2888,2869,2869,2868,2868,2865,2865,2863,2863,2859,2859,2833,2833,2795,2795,2785,2785,2743,2743,2734,2734,2732,2732,2710,2710,2692,2692,2691,2691,2668,2668,2646,2646,2645,2645,2639,2639,2633,2633,2616,2616,2589,2589,2582,2582,2555,2555,2554,2554,2553,2553,2546,2546,2537,2537,2535,2535,2510,2510,2492,2492,2489,2489,2485,2485,2471,2471,2466,2466,2454,2454,2449,2449,2448,2448,2431,2431,2430,2430,2422,2422,2405,2405,2397,2397,2393,2393,2375,2375,2357,2357,2347,2347,2346,2346,2344,2344,2341,2341,2335,2335,2334,2334,2332,2332,2326,2326,2320,2320,2314,2314,2310,2310,2309,2309,2299,2299,2271,2271,2265,2265,2256,2256,2254,2254,2234,2234,2230,2230,2227,2227,2226,2226,2220,2220,2215,2215,2210,2210,2201,2201,2190,2190,2182,2182,2181,2181,2174,2174,2163,2163,2161,2161,2160,2160,2155,2155,2143,2143,2141,2141,2135,2135,2127,2127,2119,2119,2113,2113,2108,2108,2100,2100,2094,2094,2091,2091,2087,2087,2083,2083,2081,2081,2073,2073,2068,2068,2036,2036,2035,2035,2024,2024,2017,2017,1996,1996,1992,1992,1991,1991,1983,1983,1978,1978,1975,1975,1973,1973,1959,1959,1945,1945,1944,1944,1943,1943,1925,1925,1924,1924,1905,1905,1902,1902,1892,1892,1887,1887,1885,1885,1883,1883,1881,1881,1870,1870,1858,1858,1855,1855,1850,1850,1849,1849,1847,1847,1845,1845,1841,1841,1835,1835,1830,1830,1828,1828,1823,1823,1815,1815,1805,1805,1800,1800,1794,1794,1785,1785,1772,1772,1762,1762,1759,1759,1757,1757,1753,1753,1752,1752,1751,1751,1745,1745,1742,1742,1741,1741,1740,1740,1734,1734,1732,1732,1708,1708,1707,1707,1706,1706,1704,1704,1690,1690,1689,1689,1687,1687,1680,1680,1679,1679,1675,1675,1672,1672,1669,1669,1665,1665,1663,1663,1662,1662,1652,1652,1650,1650,1646,1646,1642,1642,1638,1638,1618,1618,1615,1615,1611,1611,1608,1608,1603,1603,1602,1602,1601,1601,1599,1599,1592,1592,1590,1590,1589,1589,1588,1588,1583,1583,1582,1582,1570,1570,1562,1562,1551,1551,1550,1550,1547,1547,1545,1545,1542,1542,1541,1541,1540,1540,1530,1530,1528,1528,1522,1522,1514,1514,1500,1500,1499,1499,1493,1493,1492,1492,1490,1490,1484,1484,1471,1471,1469,1469,1467,1467,1466,1466,1461,1461,1457,1457,1454,1454,1448,1448,1436,1436,1352,1352,1238,1238,650,650,534,534,141,141,0.0],[57258,57258,57258,54411,54411,46371,46371,40068,40068,37877,37877,36178,36178,33940,33940,31037,31037,24490,24490,23233,23233,23193,23193,23125,23125,23097,23097,20430,20430,19548,19548,19382,19382,19366,19366,18737,18737,18716,18716,17705,17705,16514,16514,16067,16067,15869,15869,15855,15855,15676,15676,15650,15650,15158,15158,13712,13712,13526,13526,13291,13291,13082,13082,12261,12261,12056,12056,12012,12012,11792,11792,11455,11455,11357,11357,11260,11260,11093,11093,10811,10811,10714,10714,10605,10605,10431,10431,10049,10049,10023,10023,9972,9972,9761,9761,9463,9463,9349,9349,8924,8924,8904,8904,8764,8764,8492,8492,8444,8444,8404,8404,8223,8223,8124,8124,8028,8028,8009,8009,8000,8000,7909,7909,7819,7819,7781,7781,7744,7744,7313,7313,7262,7262,7208,7208,7197,7197,7154,7154,7151,7151,6888,6888,6603,6603,6570,6570,6503,6503,6483,6483,6378,6378,6180,6180,6128,6128,6108,6108,5952,5952,5879,5879,5827,5827,5576,5576,5192,5192,5054,5054,4790,4790,4750,4750,4745,4745,4739,4739,4694,4694,4598,4598,4522,4522,4401,4401,4369,4369,4314,4314,4309,4309,4187,4187,4160,4160,4125,4125,4048,4048,3991,3991,3916,3916,3891,3891,3864,3864,3719,3719,3479,3479,3431,3431,3370,3370,3355,3355,3306,3306,3215,3215,3181,3181,3088,3088,3073,3073,3063,3063,3034,3034,2879,2879,2873,2873,2860,2860,2753,2753,2745,2745,2716,2716,2708,2708,2688,2688,2685,2685,2652,2652,2627,2627,2608,2608,2584,2584,2444,2444,2436,2436,2415,2415,2351,2351,2270,2270,2088,2088,2056,2056,2020,2020,1955,1955,1933,1933,1882,1882,1879,1879,1848,1848,1751,1751,1747,1747,1715,1715,1692,1692,1668,1668,1660,1660,1615,1615,1599,1599,1592,1592,1513,1513,1473,1473,1427,1427,1355,1355,1353,1353,1305,1305,1291,1291,1286,1286,1090,1090,1051,1051,1001,1001,730,730,581,581,196,196,0.0],[8911,8911,8911,8191,8191,6650,6650,6161,6161,6051,6051,5877,5877,5744,5744,5367,5367,5272,5272,5253,5253,5167,5167,5056,5056,4988,4988,4712,4712,4694,4694,4630,4630,4629,4629,4475,4475,4338,4338,4257,4257,4240,4240,4198,4198,4185,4185,4181,4181,4174,4174,4172,4172,4168,4168,4159,4159,4110,4110,4065,4065,3990,3990,3940,3940,3927,3927,3879,3879,3850,3850,3812,3812,3750,3750,3714,3714,3691,3691,3690,3690,3686,3686,3673,3673,3587,3587,3562,3562,3536,3536,3514,3514,3469,3469,3464,3464,3459,3459,3448,3448,3422,3422,3412,3412,3361,3361,3354,3354,3351,3351,3282,3282,3256,3256,3246,3246,3241,3241,3230,3230,3171,3171,3153,3153,3144,3144,3143,3143,3130,3130,3129,3129,3111,3111,3101,3101,3073,3073,3056,3056,3009,3009,2996,2996,2975,2975,2970,2970,2907,2907,2889,2889,2885,2885,2882,2882,2879,2879,2872,2872,2851,2851,2844,2844,2837,2837,2826,2826,2819,2819,2813,2813,2806,2806,2804,2804,2800,2800,2786,2786,2777,2777,2771,2771,2765,2765,2743,2743,2730,2730,2728,2728,2724,2724,2723,2723,2713,2713,2700,2700,2690,2690,2675,2675,2652,2652,2648,2648,2626,2626,2591,2591,2576,2576,2557,2557,2550,2550,2523,2523,2521,2521,2520,2520,2496,2496,2488,2488,2482,2482,2475,2475,2467,2467,2459,2459,2442,2442,2430,2430,2407,2407,2403,2403,2396,2396,2386,2386,2374,2374,2360,2360,2356,2356,2352,2352,2350,2350,2348,2348,2334,2334,2333,2333,2329,2329,2327,2327,2322,2322,2320,2320,2318,2318,2308,2308,2305,2305,2303,2303,2296,2296,2294,2294,2285,2285,2283,2283,2282,2282,2272,2272,2267,2267,2247,2247,2234,2234,2198,2198,2176,2176,2170,2170,2162,2162,2159,2159,2155,2155,2154,2154,2152,2152,2139,2139,2131,2131,2125,2125,2124,2124,2123,2123,2119,2119,2109,2109,2107,2107,2095,2095,2093,2093,2087,2087,2079,2079,2078,2078,2076,2076,2072,2072,2071,2071,2061,2061,2058,2058,2055,2055,2053,2053,2051,2051,2042,2042,2039,2039,2036,2036,2024,2024,2023,2023,2022,2022,2020,2020,2018,2018,2016,2016,2012,2012,2010,2010,1996,1996,1991,1991,1983,1983,1971,1971,1956,1956,1955,1955,1946,1946,1936,1936,1934,1934,1919,1919,1908,1908,1899,1899,1892,1892,1884,1884,1878,1878,1875,1875,1869,1869,1866,1866,1855,1855,1852,1852,1848,1848,1842,1842,1832,1832,1828,1828,1822,1822,1814,1814,1811,1811,1807,1807,1806,1806,1800,1800,1799,1799,1797,1797,1795,1795,1794,1794,1793,1793,1792,1792,1789,1789,1781,1781,1777,1777,1776,1776,1774,1774,1771,1771,1764,1764,1755,1755,1750,1750,1744,1744,1731,1731,1730,1730,1720,1720,1719,1719,1717,1717,1716,1716,1711,1711,1710,1710,1709,1709,1706,1706,1705,1705,1702,1702,1701,1701,1693,1693,1692,1692,1691,1691,1683,1683,1681,1681,1679,1679,1677,1677,1669,1669,1666,1666,1665,1665,1663,1663,1661,1661,1653,1653,1648,1648,1638,1638,1636,1636,1635,1635,1630,1630,1629,1629,1627,1627,1626,1626,1624,1624,1620,1620,1618,1618,1616,1616,1601,1601,1595,1595,1594,1594,1589,1589,1586,1586,1581,1581,1574,1574,1567,1567,1562,1562,1561,1561,1560,1560,1559,1559,1557,1557,1552,1552,1549,1549,1543,1543,1541,1541,1537,1537,1535,1535,1534,1534,1532,1532,1528,1528,1519,1519,1518,1518,1511,1511,1508,1508,1502,1502,1500,1500,1490,1490,0.0],[178166,178166,178166,162813,162813,154047,154047,135418,135418,119694,119694,105726,105726,92382,92382,79930,79930,72831,72831,60158,60158,46192,46192,44113,44113,24677,24677,24643,24643,23718,23718,22032,22032,13776,13776,13603,13603,10751,10751,8829,8829,5931,5931,0.0],[10108,10108,10108,9762,9762,9484,9484,9321,9321,8699,8699,8476,8476,8160,8160,7861,7861,7779,7779,7722,7722,7632,7632,7582,7582,7190,7190,6812,6812,6796,6796,6429,6429,6387,6387,6284,6284,6181,6181,6038,6038,5814,5814,5782,5782,5741,5741,5683,5683,5531,5531,5467,5467,5441,5441,5290,5290,5265,5265,5249,5249,5199,5199,5189,5189,5179,5179,4977,4977,4927,4927,4918,4918,4856,4856,4796,4796,4757,4757,4732,4732,4711,4711,4663,4663,4592,4592,4577,4577,4554,4554,4482,4482,4450,4450,4442,4442,4421,4421,4415,4415,4382,4382,4373,4373,4352,4352,4320,4320,4284,4284,4273,4273,4248,4248,4243,4243,4216,4216,4199,4199,4172,4172,4153,4153,4142,4142,4137,4137,4126,4126,4113,4113,4082,4082,4075,4075,3953,3953,3945,3945,3930,3930,3913,3913,3894,3894,3892,3892,3885,3885,3856,3856,3806,3806,3799,3799,3779,3779,3754,3754,3718,3718,3715,3715,3714,3714,3703,3703,3682,3682,3661,3661,3612,3612,3560,3560,3550,3550,3544,3544,3521,3521,3509,3509,3485,3485,3436,3436,3426,3426,3415,3415,3413,3413,3385,3385,3367,3367,3340,3340,3250,3250,3245,3245,3169,3169,3110,3110,3082,3082,3069,3069,3058,3058,3031,3031,3019,3019,3017,3017,3006,3006,2955,2955,2951,2951,2950,2950,2923,2923,2919,2919,2913,2913,2897,2897,2890,2890,2879,2879,2878,2878,2859,2859,2854,2854,2845,2845,2844,2844,2840,2840,2838,2838,2829,2829,2814,2814,2812,2812,2795,2795,2787,2787,2781,2781,2778,2778,2777,2777,2765,2765,2764,2764,2742,2742,2741,2741,2734,2734,2719,2719,2716,2716,2710,2710,2698,2698,2687,2687,2682,2682,2675,2675,2669,2669,2654,2654,2634,2634,2631,2631,2617,2617,2600,2600,2595,2595,2580,2580,2578,2578,2577,2577,2575,2575,2571,2571,2565,2565,2564,2564,2563,2563,2551,2551,2546,2546,2539,2539,2528,2528,2506,2506,2503,2503,2500,2500,2497,2497,2472,2472,2471,2471,2466,2466,2449,2449,2436,2436,2427,2427,2423,2423,2415,2415,2408,2408,2406,2406,2394,2394,2386,2386,2385,2385,2372,2372,2371,2371,2369,2369,2354,2354,2334,2334,2321,2321,2320,2320,2319,2319,2314,2314,2302,2302,2286,2286,2268,2268,2257,2257,2255,2255,2250,2250,2249,2249,2245,2245,2230,2230,2222,2222,2219,2219,2213,2213,2210,2210,2208,2208,2200,2200,2193,2193,2191,2191,2188,2188,2184,2184,2170,2170,2169,2169,2166,2166,2155,2155,2148,2148,2146,2146,2143,2143,2141,2141,2140,2140,2130,2130,2126,2126,2117,2117,2107,2107,2098,2098,2086,2086,2084,2084,2080,2080,2079,2079,2078,2078,2075,2075,2074,2074,2072,2072,2065,2065,2056,2056,2055,2055,2032,2032,2015,2015,2012,2012,2010,2010,2009,2009,2008,2008,2000,2000,1996,1996,1992,1992,1973,1973,1970,1970,1968,1968,1967,1967,1965,1965,1956,1956,1948,1948,1946,1946,1945,1945,1942,1942,1934,1934,1932,1932,1931,1931,1925,1925,1920,1920,1913,1913,1912,1912,1909,1909,1907,1907,1902,1902,1886,1886,1881,1881,1875,1875,1872,1872,1858,1858,1851,1851,1847,1847,1845,1845,1842,1842,1840,1840,1832,1832,1823,1823,1813,1813,1812,1812,1811,1811,1809,1809,1808,1808,1803,1803,1802,1802,1800,1800,1793,1793,1782,1782,1777,1777,1774,1774,1773,1773,1769,1769,1768,1768,1766,1766,1759,1759,1738,1738,1737,1737,1734,1734,1732,1732,1728,1728,1727,1727,1726,1726,1724,1724,1719,1719,1710,1710,1698,1698,1695,1695,1692,1692,1686,1686,1682,1682,1681,1681,1675,1675,1670,1670,1668,1668,1661,1661,1659,1659,1657,1657,1656,1656,1654,1654,1650,1650,1637,1637,1625,1625,1624,1624,1620,1620,1610,1610,1608,1608,1606,1606,1598,1598,1575,1575,1573,1573,1568,1568,1566,1566,1558,1558,1554,1554,1553,1553,1546,1546,1542,1542,1538,1538,1536,1536,1528,1528,1521,1521,1520,1520,1515,1515,1511,1511,1510,1510,1507,1507,1504,1504,1487,1487,1448,1448,1263,1263,905,905,667,667,429,429,207,207,0.0],[12322,12322,12322,10484,10484,9336,9336,9097,9097,9064,9064,8542,8542,8370,8370,8294,8294,8201,8201,7973,7973,7901,7901,7485,7485,7392,7392,7387,7387,7351,7351,7028,7028,6926,6926,6879,6879,6821,6821,6817,6817,6807,6807,6717,6717,6635,6635,6627,6627,6485,6485,6248,6248,6228,6228,6133,6133,6037,6037,5930,5930,5889,5889,5766,5766,5722,5722,5698,5698,5594,5594,5368,5368,5304,5304,5230,5230,5176,5176,5033,5033,5017,5017,4990,4990,4987,4987,4976,4976,4972,4972,4965,4965,4909,4909,4887,4887,4732,4732,4683,4683,4664,4664,4597,4597,4568,4568,4497,4497,4491,4491,4467,4467,4466,4466,4427,4427,4426,4426,4424,4424,4378,4378,4371,4371,4362,4362,4354,4354,4320,4320,4314,4314,4306,4306,4305,4305,4275,4275,4264,4264,4251,4251,4209,4209,4155,4155,4113,4113,4100,4100,4078,4078,4049,4049,4025,4025,4005,4005,4001,4001,3995,3995,3919,3919,3898,3898,3878,3878,3818,3818,3806,3806,3773,3773,3758,3758,3757,3757,3747,3747,3744,3744,3733,3733,3728,3728,3711,3711,3709,3709,3697,3697,3666,3666,3652,3652,3608,3608,3560,3560,3554,3554,3510,3510,3503,3503,3492,3492,3473,3473,3461,3461,3450,3450,3438,3438,3430,3430,3375,3375,3347,3347,3326,3326,3316,3316,3307,3307,3305,3305,3270,3270,3255,3255,3253,3253,3232,3232,3227,3227,3221,3221,3218,3218,3204,3204,3201,3201,3195,3195,3188,3188,3177,3177,3171,3171,3160,3160,3152,3152,3148,3148,3131,3131,3129,3129,3123,3123,3109,3109,3088,3088,3075,3075,3065,3065,3055,3055,3035,3035,3030,3030,3024,3024,3009,3009,2998,2998,2994,2994,2977,2977,2962,2962,2941,2941,2934,2934,2918,2918,2902,2902,2898,2898,2895,2895,2883,2883,2879,2879,2877,2877,2873,2873,2864,2864,2853,2853,2842,2842,2838,2838,2821,2821,2818,2818,2811,2811,2800,2800,2798,2798,2787,2787,2765,2765,2759,2759,2755,2755,2751,2751,2746,2746,2743,2743,2716,2716,2704,2704,2699,2699,2689,2689,2680,2680,2673,2673,2670,2670,2667,2667,2662,2662,2654,2654,2653,2653,2619,2619,2615,2615,2606,2606,2603,2603,2586,2586,2552,2552,2551,2551,2545,2545,2530,2530,2526,2526,2521,2521,2511,2511,2507,2507,2500,2500,2498,2498,2492,2492,2490,2490,2480,2480,2471,2471,2468,2468,2425,2425,2409,2409,2399,2399,2389,2389,2388,2388,2386,2386,2371,2371,2370,2370,2361,2361,2346,2346,2339,2339,2336,2336,2328,2328,2322,2322,2321,2321,2317,2317,2315,2315,2309,2309,2298,2298,2276,2276,2274,2274,2241,2241,2233,2233,2222,2222,2220,2220,2211,2211,2203,2203,2199,2199,2198,2198,2196,2196,2191,2191,2186,2186,2182,2182,2181,2181,2169,2169,2150,2150,2137,2137,2130,2130,2127,2127,2125,2125,2115,2115,2106,2106,2102,2102,2096,2096,2094,2094,2082,2082,2068,2068,2060,2060,2059,2059,2052,2052,2032,2032,2030,2030,2027,2027,2017,2017,2015,2015,2012,2012,2010,2010,1997,1997,1988,1988,1968,1968,1960,1960,1959,1959,1956,1956,1949,1949,1940,1940,1931,1931,1928,1928,1924,1924,1923,1923,1904,1904,1889,1889,1886,1886,1885,1885,1884,1884,1883,1883,1880,1880,1874,1874,1869,1869,1867,1867,1864,1864,1863,1863,1862,1862,1831,1831,1823,1823,1822,1822,1821,1821,1818,1818,1812,1812,1811,1811,1805,1805,1804,1804,1803,1803,1802,1802,1797,1797,1795,1795,1791,1791,1782,1782,1772,1772,1771,1771,1770,1770,1763,1763,1762,1762,1750,1750,1731,1731,1721,1721,1715,1715,1684,1684,1682,1682,1680,1680,1679,1679,1675,1675,1671,1671,1665,1665,1661,1661,1659,1659,1655,1655,1647,1647,1644,1644,1643,1643,1639,1639,1637,1637,1635,1635,1633,1633,1632,1632,1619,1619,1618,1618,1616,1616,1612,1612,1610,1610,1592,1592,1588,1588,1580,1580,1576,1576,1572,1572,1571,1571,1566,1566,1558,1558,1557,1557,1552,1552,1546,1546,1544,1544,1542,1542,1541,1541,1537,1537,1535,1535,1527,1527,1525,1525,1524,1524,1521,1521,1505,1505,1504,1504,1503,1503,1392,1392,1194,1194,1041,1041,555,555,284,284,0.0],[76340,76340,76340,47152,47152,46986,46986,45474,45474,40683,40683,40526,40526,37757,37757,34977,34977,30831,30831,28728,28728,28164,28164,27579,27579,26035,26035,25694,25694,24462,24462,24432,24432,22865,22865,22051,22051,21986,21986,21819,21819,20704,20704,20265,20265,20091,20091,19824,19824,19404,19404,18928,18928,18476,18476,18281,18281,18143,18143,18063,18063,17390,17390,17348,17348,16169,16169,15968,15968,15672,15672,15375,15375,15014,15014,14167,14167,13886,13886,13585,13585,13476,13476,13341,13341,13017,13017,12915,12915,12747,12747,12724,12724,12266,12266,11856,11856,11824,11824,11821,11821,11670,11670,11326,11326,11055,11055,10633,10633,10582,10582,10503,10503,10403,10403,10390,10390,10206,10206,10053,10053,9899,9899,9611,9611,9578,9578,9550,9550,9501,9501,9351,9351,9245,9245,9207,9207,9180,9180,9016,9016,8895,8895,8585,8585,8462,8462,8456,8456,8334,8334,8056,8056,8042,8042,7961,7961,7470,7470,7337,7337,7280,7280,7256,7256,6970,6970,6957,6957,6821,6821,6642,6642,6519,6519,6455,6455,6401,6401,6376,6376,6304,6304,6175,6175,6058,6058,6045,6045,5977,5977,5775,5775,5722,5722,5650,5650,5625,5625,5568,5568,5513,5513,5450,5450,5244,5244,5180,5180,5102,5102,4787,4787,4520,4520,4450,4450,4349,4349,4300,4300,4286,4286,4224,4224,4165,4165,4056,4056,4027,4027,4004,4004,3804,3804,3780,3780,3725,3725,3623,3623,3616,3616,3411,3411,3396,3396,3327,3327,3258,3258,3186,3186,3101,3101,3028,3028,3026,3026,2987,2987,2924,2924,2750,2750,2735,2735,2717,2717,2704,2704,2647,2647,2531,2531,2501,2501,2484,2484,2460,2460,2374,2374,2332,2332,2189,2189,2126,2126,2084,2084,2051,2051,2035,2035,1992,1992,1960,1960,1943,1943,1654,1654,1529,1529,1503,1503,647,647,557,557,0.0],[270436,270436,270436,179122,179122,163883,163883,162822,162822,135427,135427,105701,105701,100565,100565,92969,92969,82292,82292,79930,79930,76392,76392,60157,60157,58769,58769,43031,43031,31418,31418,27333,27333,24645,24645,21485,21485,14047,14047,13602,13602,13120,13120,10702,10702,5625,5625,2986,2986,2249,2249,1864,1864,0.0],[89172,89172,89172,62522,62522,60141,60141,59022,59022,52588,52588,50389,50389,46585,46585,45589,45589,37222,37222,35657,35657,35092,35092,33953,33953,32847,32847,32791,32791,30928,30928,30697,30697,29999,29999,25139,25139,24266,24266,23460,23460,22688,22688,20939,20939,20457,20457,20060,20060,20044,20044,19203,19203,18861,18861,17839,17839,17689,17689,17618,17618,16898,16898,16701,16701,16651,16651,16335,16335,14680,14680,14405,14405,13634,13634,13256,13256,13003,13003,12960,12960,12454,12454,12125,12125,11629,11629,11393,11393,11384,11384,11309,11309,11240,11240,10860,10860,10506,10506,10455,10455,9836,9836,9557,9557,8914,8914,8741,8741,8373,8373,7880,7880,7828,7828,7677,7677,7441,7441,7377,7377,7370,7370,7230,7230,7055,7055,6923,6923,6295,6295,5977,5977,5965,5965,5813,5813,5601,5601,5333,5333,4947,4947,4815,4815,4777,4777,4629,4629,4283,4283,4144,4144,4048,4048,3949,3949,3119,3119,2962,2962,2924,2924,2921,2921,2858,2858,2684,2684,2643,2643,2546,2546,2514,2514,2365,2365,2050,2050,1991,1991,1983,1983,1945,1945,1885,1885,1845,1845,1775,1775,1688,1688,1645,1645,1634,1634,1575,1575,1521,1521,1516,1516,1463,1463,1189,1189,1025,1025,898,898,836,836,719,719,662,662,622,622,619,619,501,501,420,420,394,394,348,348,0.0],[27853,27853,27853,24472,24472,23393,23393,22318,22318,22128,22128,20829,20829,20292,20292,19403,19403,19132,19132,17637,17637,17371,17371,17275,17275,16247,16247,15631,15631,14972,14972,14513,14513,13930,13930,13141,13141,12934,12934,12830,12830,12565,12565,12241,12241,12102,12102,12012,12012,11831,11831,11694,11694,11626,11626,11243,11243,11182,11182,11062,11062,10768,10768,10706,10706,10600,10600,10524,10524,10475,10475,10303,10303,10181,10181,10104,10104,10101,10101,9994,9994,9973,9973,9889,9889,9697,9697,9442,9442,9101,9101,9073,9073,9015,9015,8958,8958,8888,8888,8665,8665,8644,8644,8634,8634,8620,8620,8223,8223,8153,8153,8015,8015,7816,7816,7797,7797,7795,7795,7718,7718,7664,7664,7511,7511,7407,7407,7390,7390,7301,7301,7081,7081,7049,7049,6987,6987,6925,6925,6893,6893,6853,6853,6469,6469,6241,6241,6020,6020,5999,5999,5883,5883,5867,5867,5865,5865,5842,5842,5826,5826,5795,5795,5770,5770,5741,5741,5709,5709,5665,5665,5513,5513,5505,5505,5497,5497,5452,5452,5404,5404,5337,5337,5309,5309,5303,5303,5275,5275,5163,5163,5123,5123,5079,5079,5076,5076,5072,5072,4986,4986,4959,4959,4937,4937,4901,4901,4874,4874,4849,4849,4819,4819,4808,4808,4800,4800,4777,4777,4636,4636,4617,4617,4615,4615,4543,4543,4517,4517,4500,4500,4419,4419,4375,4375,4321,4321,4316,4316,4308,4308,4302,4302,4246,4246,4200,4200,4181,4181,4113,4113,4088,4088,4022,4022,4020,4020,3976,3976,3953,3953,3925,3925,3912,3912,3818,3818,3762,3762,3658,3658,3625,3625,3598,3598,3537,3537,3520,3520,3518,3518,3508,3508,3492,3492,3474,3474,3472,3472,3438,3438,3437,3437,3436,3436,3418,3418,3401,3401,3336,3336,3278,3278,3277,3277,3270,3270,3249,3249,3224,3224,3190,3190,3162,3162,3142,3142,3112,3112,3095,3095,3084,3084,3079,3079,3040,3040,3034,3034,3027,3027,3001,3001,2993,2993,2981,2981,2955,2955,2896,2896,2874,2874,2860,2860,2853,2853,2842,2842,2811,2811,2805,2805,2773,2773,2772,2772,2753,2753,2734,2734,2731,2731,2708,2708,2657,2657,2630,2630,2581,2581,2568,2568,2563,2563,2559,2559,2536,2536,2533,2533,2454,2454,2447,2447,2439,2439,2391,2391,2357,2357,2335,2335,2327,2327,2322,2322,2315,2315,2308,2308,2301,2301,2298,2298,2276,2276,2165,2165,2157,2157,2151,2151,2130,2130,2057,2057,2040,2040,2039,2039,2016,2016,1961,1961,1945,1945,1909,1909,1906,1906,1866,1866,1851,1851,1830,1830,1821,1821,1803,1803,1779,1779,1748,1748,1706,1706,1695,1695,1691,1691,1671,1671,1653,1653,1645,1645,1636,1636,1608,1608,1606,1606,1600,1600,1595,1595,1575,1575,1553,1553,1535,1535,1534,1534,1528,1528,1334,1334,1253,1253,1190,1190,1140,1140,1029,1029,955,955,829,829,440,440,413,413,303,303,302,302,300,300,294,294,112,112,110,110,0.0],[27479,27479,27479,14928,14928,12875,12875,12175,12175,11817,11817,10866,10866,10663,10663,10535,10535,10516,10516,10202,10202,10041,10041,9830,9830,9706,9706,9679,9679,9606,9606,9193,9193,9184,9184,8653,8653,8536,8536,8319,8319,8295,8295,8128,8128,8126,8126,8125,8125,7584,7584,7461,7461,7448,7448,7354,7354,7313,7313,7187,7187,7135,7135,7130,7130,7107,7107,7043,7043,7038,7038,7002,7002,6945,6945,6874,6874,6732,6732,6672,6672,6654,6654,6526,6526,6506,6506,6456,6456,6385,6385,6260,6260,6175,6175,6140,6140,6128,6128,6092,6092,6087,6087,6077,6077,6007,6007,5999,5999,5909,5909,5870,5870,5827,5827,5802,5802,5790,5790,5737,5737,5730,5730,5663,5663,5622,5622,5610,5610,5592,5592,5583,5583,5522,5522,5408,5408,5391,5391,5330,5330,5305,5305,5257,5257,5237,5237,5169,5169,5156,5156,5146,5146,5093,5093,5071,5071,5036,5036,4970,4970,4925,4925,4912,4912,4911,4911,4906,4906,4698,4698,4595,4595,4594,4594,4566,4566,4546,4546,4536,4536,4511,4511,4504,4504,4447,4447,4440,4440,4412,4412,4411,4411,4403,4403,4341,4341,4325,4325,4299,4299,4273,4273,4243,4243,4228,4228,4203,4203,4194,4194,4164,4164,4121,4121,4119,4119,4099,4099,4043,4043,4020,4020,4017,4017,4013,4013,4008,4008,3986,3986,3971,3971,3938,3938,3937,3937,3930,3930,3908,3908,3904,3904,3834,3834,3812,3812,3773,3773,3766,3766,3740,3740,3706,3706,3700,3700,3686,3686,3668,3668,3651,3651,3607,3607,3594,3594,3583,3583,3578,3578,3547,3547,3538,3538,3525,3525,3509,3509,3508,3508,3502,3502,3499,3499,3492,3492,3479,3479,3471,3471,3446,3446,3419,3419,3416,3416,3375,3375,3374,3374,3368,3368,3361,3361,3353,3353,3336,3336,3235,3235,3194,3194,3192,3192,3175,3175,3140,3140,3133,3133,3116,3116,3080,3080,3015,3015,3010,3010,3002,3002,2992,2992,2982,2982,2947,2947,2935,2935,2934,2934,2920,2920,2907,2907,2873,2873,2872,2872,2865,2865,2859,2859,2826,2826,2819,2819,2805,2805,2801,2801,2797,2797,2795,2795,2790,2790,2788,2788,2787,2787,2768,2768,2752,2752,2737,2737,2724,2724,2722,2722,2713,2713,2707,2707,2693,2693,2690,2690,2676,2676,2671,2671,2663,2663,2653,2653,2650,2650,2646,2646,2642,2642,2621,2621,2607,2607,2604,2604,2584,2584,2567,2567,2564,2564,2562,2562,2561,2561,2545,2545,2542,2542,2518,2518,2508,2508,2506,2506,2493,2493,2475,2475,2435,2435,2406,2406,2399,2399,2395,2395,2393,2393,2388,2388,2387,2387,2383,2383,2366,2366,2359,2359,2355,2355,2354,2354,2350,2350,2339,2339,2329,2329,2327,2327,2319,2319,2317,2317,2310,2310,2305,2305,2302,2302,2301,2301,2281,2281,2274,2274,2266,2266,2254,2254,2248,2248,2212,2212,2211,2211,2209,2209,2208,2208,2205,2205,2203,2203,2175,2175,2162,2162,2150,2150,2147,2147,2108,2108,2077,2077,2076,2076,2072,2072,2060,2060,2031,2031,2029,2029,2018,2018,2017,2017,2016,2016,2004,2004,2000,2000,1994,1994,1986,1986,1985,1985,1979,1979,1959,1959,1949,1949,1947,1947,1940,1940,1939,1939,1936,1936,1931,1931,1929,1929,1920,1920,1916,1916,1914,1914,1901,1901,1882,1882,1833,1833,1819,1819,1818,1818,1814,1814,1791,1791,1787,1787,1773,1773,1770,1770,1762,1762,1758,1758,1756,1756,1754,1754,1731,1731,1711,1711,1699,1699,1688,1688,1676,1676,1663,1663,1661,1661,1650,1650,1644,1644,1642,1642,1639,1639,1627,1627,1612,1612,1610,1610,1608,1608,1599,1599,1598,1598,1595,1595,1577,1577,1565,1565,1564,1564,1545,1545,1531,1531,1517,1517,1508,1508,1507,1507,1502,1502,1491,1491,1466,1466,1445,1445,1431,1431,1425,1425,1415,1415,1397,1397,1390,1390,1357,1357,1271,1271,1236,1236,1187,1187,1176,1176,1153,1153,1004,1004,998,998,905,905,896,896,839,839,786,786,780,780,729,729,675,675,617,617,300,300,205,205,105,105,0.0],[224363,224363,224363,178747,178747,175498,175498,125447,125447,117786,117786,74136,74136,59825,59825,54243,54243,53633,53633,51879,51879,48521,48521,37804,37804,36522,36522,35375,35375,32948,32948,27302,27302,26052,26052,24643,24643,19244,19244,18031,18031,17409,17409,13475,13475,13247,13247,12124,12124,10658,10658,10492,10492,9557,9557,7677,7677,7055,7055,5877,5877,5501,5501,5427,5427,4778,4778,3675,3675,3656,3656,3503,3503,3002,3002,2977,2977,2961,2961,2890,2890,2623,2623,2610,2610,2003,2003,1906,1906,1705,1705,1691,1691,1688,1688,1634,1634,1390,1390,1033,1033,942,942,920,920,831,831,617,617,437,437,169,169,66,66,0.0],[125447,125447,125447,122603,122603,100734,100734,91891,91891,91451,91451,59022,59022,54401,54401,54243,54243,51878,51878,46585,46585,46387,46387,40789,40789,39440,39440,32390,32390,30928,30928,26962,26962,26781,26781,26053,26053,25676,25676,24642,24642,22831,22831,22653,22653,22592,22592,21591,21591,20841,20841,20796,20796,19923,19923,19239,19239,18567,18567,16700,16700,15534,15534,15104,15104,14119,14119,13475,13475,13256,13256,12923,12923,12125,12125,11195,11195,10500,10500,10446,10446,10142,10142,7993,7993,7925,7925,7677,7677,7055,7055,5427,5427,4777,4777,4642,4642,4476,4476,3674,3674,3291,3291,3001,3001,2962,2962,2929,2929,2733,2733,2659,2659,2610,2610,2576,2576,2568,2568,2370,2370,2072,2072,2003,2003,1828,1828,1688,1688,1642,1642,1634,1634,1619,1619,1592,1592,1574,1574,1521,1521,1386,1386,1189,1189,872,872,253,253,185,185,99,99,88,88,0.0],[187321,187321,187321,178766,178766,129101,129101,125447,125447,117786,117786,79247,79247,74137,74137,59835,59835,54407,54407,54243,54243,46665,46665,46586,46586,37805,37805,36042,36042,35373,35373,33755,33755,32948,32948,24643,24643,19244,19244,18033,18033,16702,16702,13475,13475,13247,13247,12103,12103,10765,10765,10492,10492,9557,9557,7677,7677,7055,7055,6773,6773,5427,5427,4777,4777,3675,3675,3656,3656,2961,2961,2610,2610,2003,2003,1705,1705,1691,1691,1634,1634,1029,1029,872,872,812,812,445,445,302,302,230,230,167,167,136,136,103,103,101,101,95,95,66,66,0.0]],"filenames":["extra_ERR1806394.25","extra_SRR2174313.4","extra_SRR2174314.14","extra_SRR2174315.7","extra_SRR2174317.1","extra_SRR2174320.38","extra_SRR2174321.10","extra_SRR5580761.114","extra_SRR5580762.42","extra_SRR5580763.92","extra_SRR5925326.20","extra_SRR5927679.39","extra_SRR5927681.71","extra_SRR5927682.28","extra_SRR5927686.74","extra_SRR5927689.35","extra_SRR5927690.6","extra_SRR5927696.30","extra_SRR5927698.79","extra_SRR5927701.10","extra_SRR5927702.80","extra_SRR5927704.2","extra_SRR5927705.1","extra_SRR5927707.30","extra_SRR5927708.48","extra_SRR5927709.41","extra_SRR5927712.38","extra_SRR5927714.26","extra_SRR5927715.35","extra_SRR5927718.58","extra_SRR6032568.47","extra_SRR6032569.13","extra_SRR6032570.31","extra_SRR6032571.9","extra_SRR6032572.43","extra_SRR6032575.4","extra_SRR6032579.13","extra_SRR6032581.14","extra_SRR6032583.10","extra_SRR6032588.12","extra_SRR6032598.1","extra_SRR6945401.17","iMGMC_978","single_China_S_Fe11_120417.17","single_China_S_Fe12_120417.16","single_China_S_Fe13_120417.57","single_China_S_Fe14_120416.68","single_China_S_Fe16_120417.26","single_China_S_Fe20_120416.35","single_wildmice_C1220.78","single_wildmice_C1224.60","single_wildmice_C1226.64","single_wildmice_C1231.76","single_wildmice_C1239.77","single_wildmice_C1243.78"]}
{"coord_x":[[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26],[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26]],"coord_y":[[62.51160272707162,62.51160272707162,62.970264781179516,62.970264781179516,63.38296058240965,63.38296058240965,63.74302029963105,63.74302029963105,64.07528905380664,64.07528905380664,64.25959872072639,64.25959872072639,64.42912359530577,64.42912359530577,64.5943686615761,64.5943686615761,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522,64.75038712811522],[86.53377769230512,86.53377769230512,87.51101911684766,87.51101911684766,87.7006646486722,87.7006646486722,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077,87.8132180490077],[88.09518516007039,88.09518516007039,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897,88.2221898611897],[50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295,50.980131684699295],[94.33386729036998,94.33386729036998,94.74984242523954,94.74984242523954,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292,94.99340242537292],[69.33556253911578,69.33556253911578,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837,69.65265742746837],[93.54104669659938,93.54104669659938,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502,94.66457975061502],[84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706,84.03864944812706],[95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608,95.65549432897608],[95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692,95.7811650638692],[62.78423207455093,62.78423207455093,63.5315310708525,63.5315310708525,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451,63.86769055985451],[68.89007340149159,68.89007340149159,69.43188601703253,69.43188601703253,69.89304925781454,69.89304925781454,70.3175284273761,70.3175284273761,70.71227126647865,70.71227126647865,71.0805015268355,71.0805015268355,71.34384869265752,71.34384869265752,71.60169324779646,71.60169324779646,71.80662380929618,71.80662380929618,71.99404606407707,71.99404606407707,72.17440941424431,72.17440941424431,72.2571709021947,72.2571709021947,72.50873469968529,72.50873469968529,72.59149618763568,72.59149618763568,72.7495711854402,72.7495711854402,72.8323326733906,72.8323326733906,72.98757299296445,72.98757299296445,73.07033448091484,73.07033448091484,73.14876057863009,73.14876057863009,73.14876057863009,73.14876057863009,73.14876057863009,73.14876057863009,73.14876057863009,73.14876057863009,73.14876057863009,73.14876057863009,73.14876057863009,73.14876057863009,73.14876057863009,73.14876057863009,73.14876057863009,73.14876057863009],[46.28501522388956,46.28501522388956,46.63345831855781,46.63345831855781,46.96489334384202,46.96489334384202,47.195669500974354,47.195669500974354,47.41644091141019,47.41644091141019,47.56267695895719,47.56267695895719,47.68512394213699,47.68512394213699,47.82652436211403,47.82652436211403,47.94897134529382,47.94897134529382,47.94897134529382,47.94897134529382,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519,48.09542972054519],[50.25817804669549,50.25817804669549,53.2467626307148,53.2467626307148,56.09083420689594,56.09083420689594,58.76343554108449,58.76343554108449,61.407578929114145,61.407578929114145,62.919574064583976,62.919574064583976,66.75394881793918,66.75394881793918,69.39809220596884,69.39809220596884,70.91008734143865,70.91008734143865,71.29910524215377,71.29910524215377,71.57979396891636,71.57979396891636,71.85242331639567,71.85242331639567,74.40174393851305,74.40174393851305,74.79076183922817,74.79076183922817,75.07145056599076,75.07145056599076,75.34407991347005,75.34407991347005,75.34407991347005,75.34407991347005,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547,75.74176859465547],[59.79620330979253,59.79620330979253,65.68344092141494,65.68344092141494,69.2229535568542,69.2229535568542,71.309554644259,71.309554644259,73.19750592781241,73.19750592781241,74.62029207190523,74.62029207190523,75.4529649066835,75.4529649066835,77.01498377563577,77.01498377563577,77.84765661041405,77.84765661041405,78.17014294559752,78.17014294559752,78.62413611791372,78.62413611791372,78.94662245309719,78.94662245309719,79.22686652445104,79.22686652445104,79.31335200144957,79.31335200144957,79.31335200144957,79.31335200144957,79.31335200144957,79.31335200144957,80.02118783022613,80.02118783022613,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464,80.10767330722464],[56.92923198006165,56.92923198006165,60.6051426621297,60.6051426621297,62.9061788203959,62.9061788203959,65.13529196629956,65.13529196629956,66.31129435854567,66.31129435854567,67.3541224558763,67.3541224558763,68.31874678319603,68.31874678319603,68.77663069033864,68.77663069033864,69.93662548787036,69.93662548787036,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296,70.39450939501296],[63.11588942753951,63.11588942753951,64.10841588175724,64.10841588175724,65.08287820999519,65.08287820999519,65.7359658415715,65.7359658415715,66.28511527135652,66.28511527135652,66.78674215433323,66.78674215433323,67.0846612781842,67.0846612781842,67.32282983148671,67.32282983148671,67.45833856729804,67.45833856729804,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542,67.5579413788542],[41.925502432820906,41.925502432820906,50.61657030613413,50.61657030613413,55.589485233549695,55.589485233549695,58.50742518950658,58.50742518950658,60.48163962235416,60.48163962235416,62.76377792574922,62.76377792574922,65.45522153288282,65.45522153288282,67.4294359657304,67.4294359657304,69.71157426912546,69.71157426912546,71.68578870197305,71.68578870197305,73.70541356843746,73.70541356843746,75.67962800128505,75.67962800128505,76.21521544110372,76.21521544110372,76.857964834427,76.857964834427,77.39355227424566,77.39355227424566,77.39355227424566,77.39355227424566,77.39355227424566,77.39355227424566,84.13941948013112,84.13941948013112,84.6750069199498,84.6750069199498,85.31775631327308,85.31775631327308,85.85334375309175,85.85334375309175,85.85334375309175,85.85334375309175,85.85334375309175,85.85334375309175,85.85334375309175,85.85334375309175,85.85334375309175,85.85334375309175,85.85334375309175,85.85334375309175],[45.04903993339062,45.04903993339062,52.07298351551236,52.07298351551236,57.045620533297466,57.045620533297466,57.59388065226502,57.59388065226502,62.67745919452896,62.67745919452896,63.22571931349651,63.22571931349651,63.22571931349651,63.22571931349651,69.81895855033444,69.81895855033444,70.36721866930199,70.36721866930199,70.36721866930199,70.36721866930199,70.36721866930199,70.36721866930199,75.80663270240436,75.80663270240436,76.35489282137192,76.35489282137192,76.35489282137192,76.35489282137192,76.35489282137192,76.35489282137192,76.35489282137192,76.35489282137192,76.35489282137192,76.35489282137192,76.35489282137192,76.35489282137192,85.5333030226563,85.5333030226563,86.08156314162386,86.08156314162386,86.08156314162386,86.08156314162386,86.08156314162386,86.08156314162386,86.08156314162386,86.08156314162386,86.08156314162386,86.08156314162386,86.08156314162386,86.08156314162386,86.08156314162386,86.08156314162386],[46.41263132619587,46.41263132619587,46.73789675768392,46.73789675768392,47.01124867020242,47.01124867020242,47.282544051455524,47.282544051455524,47.437061805990176,47.437061805990176,47.59408074719895,47.59408074719895,47.7485985017336,47.7485985017336,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518,47.89761364558518],[66.55696647187054,66.55696647187054,69.19760819855642,69.19760819855642,71.31205583093312,71.31205583093312,72.48811380510531,72.48811380510531,73.45885214429512,73.45885214429512,73.91890374655532,73.91890374655532,74.87569102229614,74.87569102229614,75.33574262455632,75.33574262455632,75.65828454166588,75.65828454166588,76.10771999604256,76.10771999604256,76.43026191315212,76.43026191315212,76.71272926154964,76.71272926154964,76.86002136569239,76.86002136569239,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157,76.96996241550157],[45.435890138988164,45.435890138988164,45.61519743255967,45.61519743255967,45.76482397759826,45.76482397759826,45.883824881360376,45.883824881360376,46.00049134422665,46.00049134422665,46.00049134422665,46.00049134422665,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055,46.10965424707055],[41.60607310357247,41.60607310357247,42.185570265003506,42.185570265003506,42.52367512141872,42.52367512141872,42.81442417680388,42.81442417680388,43.10289437321929,43.10289437321929,43.19227011037459,43.19227011037459,43.27597649106854,43.27597649106854,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915,43.342341310821915],[45.196999020646466,45.196999020646466,49.9470860063608,49.9470860063608,54.16430906663495,54.16430906663495,57.62144928760645,57.62144928760645,58.08711466440189,58.08711466440189,61.09254057202695,61.09254057202695,61.55820594882238,61.55820594882238,63.4872322757575,63.4872322757575,63.952897652552934,63.952897652552934,65.69761431256829,65.69761431256829,66.16327968936373,66.16327968936373,66.16327968936373,66.16327968936373,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971,66.95815681439971],[46.022279459254555,46.022279459254555,48.28702061978294,48.28702061978294,49.77189177532007,49.77189177532007,51.13181476100328,51.13181476100328,52.3850760305167,52.3850760305167,53.561689823949806,53.561689823949806,54.097277263768476,54.097277263768476,54.412649112412225,54.412649112412225,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586,54.507527460250586],[66.77512553178008,66.77512553178008,69.1144020551973,69.1144020551973,71.2267931563086,71.2267931563086,73.08278483235935,73.08278483235935,74.33665750305978,74.33665750305978,74.88880835685376,74.88880835685376,75.30967470121935,75.30967470121935,75.60764940699643,75.60764940699643,75.74321372473385,75.74321372473385,76.00528250625574,76.00528250625574,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316,76.14084682399316],[39.624466274554706,39.624466274554706,41.71490251485983,41.71490251485983,42.526287471945025,42.526287471945025,43.415209215928,43.415209215928,44.2265941730132,44.2265941730132,44.861395350905376,44.861395350905376,45.43044311023119,45.43044311023119,45.97870322919874,45.97870322919874,46.08864427900793,46.08864427900793,46.64429679414567,46.64429679414567,46.754237843954854,46.754237843954854,47.24085760688682,47.24085760688682,47.35079865669601,47.35079865669601,47.57951828256295,47.57951828256295,47.68945933237214,47.68945933237214,47.68945933237214,47.68945933237214,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634,47.846311527802634],[56.46189914548347,56.46189914548347,65.13568103978221,65.13568103978221,69.84930628198045,69.84930628198045,73.30633533909977,73.30633533909977,76.2219408541608,76.2219408541608,78.1755899743545,78.1755899743545,79.53534621425943,79.53534621425943,79.8605004818953,79.8605004818953,81.73022089369067,81.73022089369067,82.05537516132654,82.05537516132654,82.35023727924249,82.35023727924249,84.08450453715263,84.08450453715263,84.40965880478849,84.40965880478849,84.70452092270443,84.70452092270443,84.9317398365669,84.9317398365669,84.98987853125873,84.98987853125873,85.3294840996784,85.3294840996784,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022,85.38762279437022],[71.66099916293619,71.66099916293619,74.30303043777437,74.30303043777437,76.64369650934388,76.64369650934388,78.59729004761148,78.59729004761148,79.6930321385813,79.6930321385813,80.66777237644972,80.66777237644972,81.38077732435278,81.38077732435278,82.30288147821244,82.30288147821244,83.0158864261155,83.0158864261155,83.59527242369435,83.59527242369435,84.42322079475484,84.42322079475484,85.0026067923337,85.0026067923337,85.48561373006972,85.48561373006972,85.90736938525278,85.90736938525278,86.26370511342604,86.26370511342604,86.55801141208107,86.55801141208107,86.85203980110563,86.85203980110563,86.85203980110563,86.85203980110563,87.18630950462052,87.18630950462052,87.18630950462052,87.18630950462052,87.18630950462052,87.18630950462052,87.18630950462052,87.18630950462052,87.18630950462052,87.18630950462052,87.18630950462052,87.18630950462052,87.18630950462052,87.18630950462052,87.18630950462052,87.18630950462052],[52.27018818928536,52.27018818928536,52.945508591298314,52.945508591298314,53.50060528717514,53.50060528717514,54.03219082831521,54.03219082831521,54.405423462020316,54.405423462020316,54.65448607283678,54.65448607283678,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904,54.759535913149904],[75.15282250578886,75.15282250578886,76.22699880943514,76.22699880943514,77.1418773129029,77.1418773129029,77.93097391762537,77.93097391762537,78.61646581211308,78.61646581211308,79.27933586268152,79.27933586268152,79.8446040510331,79.8446040510331,80.26469224843342,80.26469224843342,80.53826648865629,80.53826648865629,80.79922363165635,80.79922363165635,81.02933280567558,81.02933280567558,81.25405053286393,81.25405053286393,81.43063431205694,81.43063431205694,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765,81.51723095290765],[58.472575321847145,58.472575321847145,58.953025490982945,58.953025490982945,59.429918416848885,59.429918416848885,59.82510591136017,59.82510591136017,60.10924071754043,60.10924071754043,60.3305123653111,60.3305123653111,60.51954649594863,60.51954649594863,60.69368467039362,60.69368467039362,60.84514541899323,60.84514541899323,60.98326650533086,60.98326650533086,61.1153847436506,61.1153847436506,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247,61.20025834479247],[75.00491900045911,75.00491900045911,75.89450772755518,75.89450772755518,76.59211648193087,76.59211648193087,77.28772428696726,77.28772428696726,77.7295450174694,77.7295450174694,78.15024461605672,78.15024461605672,78.50924827668238,78.50924827668238,78.86263816277278,78.86263816277278,79.19707461206595,79.19707461206595,79.49994052733908,79.49994052733908,79.78991143575897,79.78991143575897,80.01551847376477,80.01551847376477,80.22850841454779,80.22850841454779,80.36496204310268,80.36496204310268,80.46495392814147,80.46495392814147,80.46495392814147,80.46495392814147,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125,80.58740091132125],[73.88377596926541,73.88377596926541,74.86012808299049,74.86012808299049,75.70302799216962,75.70302799216962,76.48606616694809,76.48606616694809,76.9988650170692,76.9988650170692,77.44257553305846,77.44257553305846,77.83309414577805,77.83309414577805,78.13940614046886,78.13940614046886,78.42759842725381,78.42759842725381,78.67860640548349,78.67860640548349,78.90910465298536,78.90910465298536,79.13660147647829,79.13660147647829,79.3549828640922,79.3549828640922,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346,79.4462483867346],[57.66124594668804,57.66124594668804,58.09217261967623,58.09217261967623,58.328896042900354,58.328896042900354,58.56289595174599,58.56289595174599,58.72008163873304,58.72008163873304,58.874599393267694,58.874599393267694,59.018945655327585,59.018945655327585,59.1339446604111,59.1339446604111,59.24816551852935,59.24816551852935,59.34326619407208,59.34326619407208,59.426916992839935,59.426916992839935,59.506677056781385,59.506677056781385,59.58443617138354,59.58443617138354,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475,59.660249918572475],[74.38445795949856,74.38445795949856,75.3193459563593,75.3193459563593,76.22116270719553,76.22116270719553,76.95901277606153,76.95901277606153,77.67696451538674,77.67696451538674,78.28692057231598,78.28692057231598,78.66760118411736,78.66760118411736,79.1689501574636,79.1689501574636,79.54963076926498,79.54963076926498,79.82587294194023,79.82587294194023,80.26463666650733,80.26463666650733,80.5408788391826,80.5408788391826,80.77571247691961,80.77571247691961,81.00237557152116,81.00237557152116,81.18879735163239,81.18879735163239,81.37494122211316,81.37494122211316,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024,81.49088511994024],[76.3040909409242,76.3040909409242,77.56513368009044,77.56513368009044,78.28753197350298,78.28753197350298,78.93100393186545,78.93100393186545,79.44580373132587,79.44580373132587,79.85038457134662,79.85038457134662,80.22495117127792,80.22495117127792,80.52131400119835,80.52131400119835,80.646095425274,80.646095425274,80.9881465984417,80.9881465984417,81.11292802251735,81.11292802251735,81.45047705967164,81.45047705967164,81.57525848374729,81.57525848374729,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738,81.66997008580738],[65.31270947438395,65.31270947438395,69.48574490341528,69.48574490341528,72.50373232633706,72.50373232633706,75.22685763134287,75.22685763134287,77.59953889234114,77.59953889234114,80.16964715481679,80.16964715481679,82.54232841581506,82.54232841581506,83.85322814268548,83.85322814268548,85.02011509905255,85.02011509905255,85.99090902016846,85.99090902016846,86.87794097866433,86.87794097866433,87.60128416482043,87.60128416482043,88.25737322040568,88.25737322040568,88.25737322040568,88.25737322040568,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925,89.32504643869925],[67.25351916965049,67.25351916965049,67.99392600711671,67.99392600711671,68.3844446198363,68.3844446198363,68.68864450133563,68.68864450133563,68.96572040290226,68.96572040290226,69.21089227889232,69.21089227889232,69.44378054921613,69.44378054921613,69.62708974146624,69.62708974146624,69.7914454969191,69.7914454969191,69.9522440091021,69.9522440091021,70.07974894755623,70.07974894755623,70.20241825844039,70.20241825844039,70.30852415534926,70.30852415534926,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004,70.38544954106004],[78.12011921211509,78.12011921211509,80.51608930014574,80.51608930014574,81.65613018621058,81.65613018621058,82.64676685494118,82.64676685494118,83.53352090380659,83.53352090380659,84.3619139302758,84.3619139302758,85.15267799278102,85.15267799278102,85.82338509492837,85.82338509492837,86.27315404086161,86.27315404086161,86.6828484180828,86.6828484180828,86.85070583487943,86.85070583487943,86.85070583487943,86.85070583487943,87.26601398663588,87.26601398663588,87.43387140343252,87.43387140343252,87.43387140343252,87.43387140343252,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304,87.51307564811304],[73.50092766234647,73.50092766234647,74.29641618856947,74.29641618856947,75.07762015978692,75.07762015978692,75.67823845313276,75.67823845313276,76.20665582448562,76.20665582448562,76.67760148425975,76.67760148425975,77.12375760499704,77.12375760499704,77.5541284587243,77.5541284587243,77.97482805731164,77.97482805731164,78.19604412315621,78.19604412315621,78.3793533154063,78.3793533154063,78.46895138026598,78.46895138026598,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058,78.53970717218058],[54.183429249210455,54.183429249210455,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291,54.24923824970291],[79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117,79.62377705867117],[45.313387573882274,45.313387573882274,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288,45.54433047679288],[77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952,77.78301483036952],[60.10646162123585,60.10646162123585,60.2629803251098,60.2629803251098,60.40738216909578,60.40738216909578,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276,60.534498034067276],[65.85507790918581,65.85507790918581,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592,66.01776620685592],[95.13802659706327,95.13802659706327,95.956414876836,95.956414876836,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085,96.1994190577085],[79.81397840975663,79.81397840975663,87.32648712222354,87.32648712222354,87.32648712222354,87.32648712222354,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746,98.9676213047746],[69.37924993302379,69.37924993302379,72.75062724203595,72.75062724203595,75.1075232360242,75.1075232360242,77.45013467500692,77.45013467500692,79.71070719107843,79.71070719107843,81.41929559913426,81.41929559913426,82.50997973482974,82.50997973482974,83.51612376093992,83.51612376093992,84.2997733369054,84.2997733369054,84.88177168501055,84.88177168501055,85.01016593428216,85.01016593428216,85.09103763674544,85.09103763674544,85.29785798373229,85.29785798373229,85.42625223300388,85.42625223300388,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716,85.50712393546716],[76.62246421357689,76.62246421357689,77.20496279901687,77.20496279901687,77.72715499464746,77.72715499464746,78.24390016152108,78.24390016152108,78.45983594438695,78.45983594438695,79.03538678906548,79.03538678906548,79.25132257193135,79.25132257193135,79.36776670709325,79.36776670709325,79.50288636942194,79.50288636942194,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384,79.61933050458384],[72.88685854288646,72.88685854288646,73.10868600991805,73.10868600991805,73.25831255495663,73.25831255495663,73.38037046465378,73.38037046465378,73.5007609165682,73.5007609165682,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165,73.60964590978165],[21.39943061874912,21.39943061874912,35.317978640977444,35.317978640977444,42.821760991047974,42.821760991047974,49.46235602891594,49.46235602891594,57.56920227708035,57.56920227708035,64.20979731494832,64.20979731494832,66.40117033303578,66.40117033303578,66.66140491099667,66.66140491099667,70.02144350708613,70.02144350708613,73.05899576799214,73.05899576799214,75.25036878607962,75.25036878607962,75.51060336404049,75.51060336404049,78.87064196012997,78.87064196012997,79.13087653809085,79.13087653809085,81.17178928224835,81.17178928224835,81.43202386020923,81.43202386020923,84.51771006911056,84.51771006911056,84.77794464707145,84.77794464707145,86.81885739122895,86.81885739122895,87.07909196918983,87.07909196918983,87.37450990636668,87.37450990636668,87.63474448432757,87.63474448432757,87.63474448432757,87.63474448432757,88.15060034038372,88.15060034038372,88.15060034038372,88.15060034038372,88.38665678049475,88.38665678049475],[53.58520097868656,53.58520097868656,60.998273625375596,60.998273625375596,66.19957468710155,66.19957468710155,69.1600903984446,69.1600903984446,72.11877190622663,72.11877190622663,74.29130265136904,74.29130265136904,75.99466635837226,75.99466635837226,77.86688795684175,77.86688795684175,79.57025166384496,79.57025166384496,81.40567802724182,81.40567802724182,83.10904173424503,83.10904173424503,83.2899053217471,83.2899053217471,83.2899053217471,83.2899053217471,83.2899053217471,83.2899053217471,86.82958470296462,86.82958470296462,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667,87.0104482904667],[33.390230698342435,33.390230698342435,40.89401304841297,40.89401304841297,47.81724218045673,47.81724218045673,55.68553080183598,55.68553080183598,62.60875993387974,62.60875993387974,62.659172740844824,62.659172740844824,64.82080942847328,64.82080942847328,66.28678272913928,66.28678272913928,68.25810690183009,68.25810690183009,73.65766869392479,73.65766869392479,73.70808150088986,73.70808150088986,75.86971818851833,75.86971818851833,77.33569148918431,77.33569148918431,79.30701566187514,79.30701566187514,79.35742846884021,79.35742846884021,81.51906515646868,81.51906515646868,82.98503845713466,82.98503845713466,83.03545126409975,83.03545126409975,85.19708795172821,85.19708795172821,85.24750075869329,85.24750075869329,85.24750075869329,85.24750075869329,85.24750075869329,85.24750075869329,85.24750075869329,85.24750075869329,85.24750075869329,85.24750075869329,85.24750075869329,85.24750075869329,85.24750075869329,85.24750075869329]],"filenames":["extra_ERR1806394.25","extra_SRR2174313.4","extra_SRR2174314.14","extra_SRR2174315.7","extra_SRR2174317.1","extra_SRR2174320.38","extra_SRR2174321.10","extra_SRR5580761.114","extra_SRR5580762.42","extra_SRR5580763.92","extra_SRR5925326.20","extra_SRR5927679.39","extra_SRR5927681.71","extra_SRR5927682.28","extra_SRR5927686.74","extra_SRR5927689.35","extra_SRR5927690.6","extra_SRR5927696.30","extra_SRR5927698.79","extra_SRR5927701.10","extra_SRR5927702.80","extra_SRR5927704.2","extra_SRR5927705.1","extra_SRR5927707.30","extra_SRR5927708.48","extra_SRR5927709.41","extra_SRR5927712.38","extra_SRR5927714.26","extra_SRR5927715.35","extra_SRR5927718.58","extra_SRR6032568.47","extra_SRR6032569.13","extra_SRR6032570.31","extra_SRR6032571.9","extra_SRR6032572.43","extra_SRR6032575.4","extra_SRR6032579.13","extra_SRR6032581.14","extra_SRR6032583.10","extra_SRR6032588.12","extra_SRR6032598.1","extra_SRR6945401.17","iMGMC_978","single_China_S_Fe11_120417.17","single_China_S_Fe12_120417.16","single_China_S_Fe13_120417.57","single_China_S_Fe14_120416.68","single_China_S_Fe16_120417.26","single_China_S_Fe20_120416.35","single_wildmice_C1220.78","single_wildmice_C1224.60","single_wildmice_C1226.64","single_wildmice_C1231.76","single_wildmice_C1239.77","single_wildmice_C1243.78"]}
{"filenames":["extra_ERR1806394.25","extra_SRR2174313.4","extra_SRR2174314.14","extra_SRR2174315.7","extra_SRR2174317.1","extra_SRR2174320.38","extra_SRR2174321.10","extra_SRR5580761.114","extra_SRR5580762.42","extra_SRR5580763.92","extra_SRR5925326.20","extra_SRR5927679.39","extra_SRR5927681.71","extra_SRR5927682.28","extra_SRR5927686.74","extra_SRR5927689.35","extra_SRR5927690.6","extra_SRR5927696.30","extra_SRR5927698.79","extra_SRR5927701.10","extra_SRR5927702.80","extra_SRR5927704.2","extra_SRR5927705.1","extra_SRR5927707.30","extra_SRR5927708.48","extra_SRR5927709.41","extra_SRR5927712.38","extra_SRR5927714.26","extra_SRR5927715.35","extra_SRR5927718.58","extra_SRR6032568.47","extra_SRR6032569.13","extra_SRR6032570.31","extra_SRR6032571.9","extra_SRR6032572.43","extra_SRR6032575.4","extra_SRR6032579.13","extra_SRR6032581.14","extra_SRR6032583.10","extra_SRR6032588.12","extra_SRR6032598.1","extra_SRR6945401.17","iMGMC_978","single_China_S_Fe11_120417.17","single_China_S_Fe12_120417.16","single_China_S_Fe13_120417.57","single_China_S_Fe14_120416.68","single_China_S_Fe16_120417.26","single_China_S_Fe20_120416.35","single_wildmice_C1220.78","single_wildmice_C1224.60","single_wildmice_C1226.64","single_wildmice_C1231.76","single_wildmice_C1239.77","single_wildmice_C1243.78"],"features_in_contigs":{"extra_ERR1806394.25":[0,12,16,8,19,14,6,7,7,7,5,7,5,2,6,4,5,3,6,4,5,9,1,6,7,5,3,4,2,7,5,6,6,8,4,0,6,3,5,3,6,5,3,7,2,3,6,5,4,3,1,5,6,6,3,5,2,3,3,5,1,4,4,1,3,0,2,1,2,2,5,2,4,4,1,3,2,2,5,3,4,9,5,5,14,3,2,3,2,6,6,3,8,5,7,2,1,6,1,4,9,2,2,3,2,2,2,2,2,2,4,2,7,2,2,3,0,3,3,4,4,3,2,3,1,2,3,2,0,3,3,3,2,2,3,4,3,1,3,0,3,0,4,3,2,4,2,2,1,3,1,2,2,2,1,3,2,0,1,3,1,5,2,1,2,1,0,2,0,2,1,1,4,1,3,2,6,1,2,3,0,2,2,2,1,0,2,1,2,0,3,1,2,4,2,0,2,0,10,2,2,3,1,2,2,2,1,0,2,2,2,0,2,2,1,2,3,3,1,1,0,1,1,1,2,3,1,1,2,1,1,3,3,2,2,1,2,4,0,0,0,3,1,1,0,0,1,3,2,0,2,1,3,0,0,1,1,2,1,0,1,3,2,0,1,2,4,2,0,2,2,1,2,2,1,1,2,0,0,2,1,0,2,0,1,0,4,2,0,0,1,0,1,0,0,0,2,1,1,2,0,0,2,0,1,1,0,0,1,1,0,2,1,0,0,0,2,1,0,1,0,0,2,0,1,1,2,1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,3,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,5,0,1],"extra_SRR2174313.4":[18,19,22,18,15,21,15,19,16,19,17,11,14,18,14,11,6,10,16,22,15,11,12,10,12,5,13,7,10,8,8,10,8,20,10,5,11,8,11,12,8,6,7,11,8,9,7,7,10,5,6,8,16,8,4,7,8,7,7,5,5,4,9,9,1,11,6,5,5,9,7,6,12,5,6,5,6,5,3,9,7,5,6,3,7,6,5,4,3,3,6,4,5,8,6,3,4,6,6,10,2,9,6,2,3,5,7,4,5,3,4,3,3,5,3,7,3,5,5,4,4,5,3,4,3,4,4,5,4,2,5,21,4,5,6,5,8,5,5,3,4,5,8,3,2,2,3,6,5,3,3,5,4,14,2,0,3,6,1,2,4,2,2,2,6,3,2,9,4,5,2,2,2,1,5,3,2,3,0,2,2,2,3,2,3,3,1,0,3,2,1,2,2,1,1,3,3,1,3,2,4,3,1,2,2,1,5,6,1,2,4,5,2,2,3,2,0,1,0,3,2,1,4,1,3,3,1,6,3,2,2,3,2,2,1,3,3,2,2,3,2,2,3,2,2,0,2,1,1,3,0,2,2,3,0,1,3,1,1,3,1,2,3,4,3,1,0,1,1,10,0,1,2,0,2,2,0,1,2,1,3,1,1,1,0,1,0,1,1,1,3,2,0,1,0,1,2,2,2,1,3,2,0,1,0,1,0,0,2,1,0,0,1,0,0],"extra_SRR2174314.14":[36,27,21,22,14,18,13,12,18,10,10,11,26,7,15,10,9,11,10,13,6,10,9,9,10,11,9,12,7,20,15,14,10,9,8,9,16,7,7,9,2,9,8,7,9,7,8,11,9,7,7,4,7,7,12,9,16,6,4,13,5,7,7,7,10,7,7,4,5,6,11,6,9,3,5,4,7,6,11,5,6,5,7,3,6,4,3,5,4,6,3,6,4,3,5,7,5,6,5,5,4,5,5,7,5,6,4,5,4,4,5,9,3,2,6,3,7,2,6,2,5,4,7,3,4,2,7,8,3,5,5,4,4,4,3,3,3,2,4,4,1,3,5,12,7,5,1,2,2,4,6,5,2,4,2,3,3,2,20,2,2,2,4,1,5,2,5,2,3,2,4,3,4,3,1,2,2,2,13,6,1,0,2,1,2,3,3,3,2,4,2,2,0,3,2,0,3,2,7,1,4,4,2,5,4,5,3,0,1,1,3,2,3,2,2,4,2,2,1,2,3,1,3,2,3,5,0,1,2,3,0,1,2,1,4,2,1,3,2,2,2,3,3,1,4,1,2,2,2,2,1,3,2,2,1,2,2,1,1,0,1,2,1,4,2,1,0,1,1,1,0,1,1,4,2,2,0,3,1,3,0,1,0,1,2,2,1,4,3,4,4,1,1,1,1,1,2,2,0,1,1,0,1,1,1,1,1,0,1,2,2,3,0,0,2,0,1,0,1,1,0,0,0,1,2,1,0,1,0,1,3,0,2],"extra_SRR2174315.7":[21,4,4,12,2,3,1,2,1,5,5,4,7,3,4,5,2,2,4,1,6,3,6,8,4,2,3,9,3,4,3,4,3,2,1,3,3,5,4,4,4,3,6,1,5,6,2,3,5,3,4,4,4,2,7,2,7,1,3,1,2,5,5,4,3,3,0,3,1,3,2,5,3,6,2,1,2,1,4,3,3,3,0,2,1,1,0,3,2,1,3,3,5,4,2,1,2,1,3,1,0,0,1,1,2,3,3,2,1,0,1,0,2,2,6,3,1,3,2,3,4,1,1,4,3,3,1,3,2,2,2,1,6,3,2,1,2,2,2,0,0,3,2,0,2,3,2,2,1,2,3,2,1,2,1,0,2,4,2,1,2,2,2,1,1,1,1,1,2,2,1,5,2,3,3,1,0,1,0,0,2,0,0,2,1,11,2,1,3,2,0,3,1,1,3,1,2,1,1,3,1,0,2,4,1,1,0,0,0,4,0,2,3,1,0,0,1,1,2,1,0,2,2,0,2,1,1,1,2,1,2,2,0,3,4,1,0,2,1,1,1,0,1,2,2,1,1,2,0,1,0,1,1,3,2,2,1,3,1,1,0,0,1,2,1,2,2,1,0,3,0,1,1,2,0,4,1,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,3,1,0,1,1,1,1,0,1,0,1,0,1,2,2,2,0,0,0,1,0,2,1,1,1,1,0,0,2,0,0,2,0,1,1,2,2,1,3,0,0,0,0,0,1,0,5,3,0,0,1,2,1,1,2,2,1],"extra_SRR2174317.1":[58,35,33,20,29,42,40,26,19,23,33,19,36,25,23,22,19,19,20,16,14,16,16,13,15,12,18,16,29,14,18,12,17,11,12,14,14,13,11,6,11,14,11,13,9,11,9,24,10,12,12,7,16,10,18,11,9,7,11,12,10,9,6,9,10,9,8,7,14,8,12,18,14,8,9,4,5,8,11,10,8,7,8,6,6,5,7,7,7,10,6,5,11,9,4,4,11,6,5,5,5,5,9,6,4,3,3,2,5,6,3,5,5,7,9,7,6,11,13,2,5,4,8,4,6,4,6,3,4,6,4,4,7,8,7,3,4,4,3,4,0,5,2,2,4,4,5,9,0,2,3,2,2,2,3,4,4,2,2,4,2,2,2,3,5,3,1,3,1,7,2,3,4,2,3,3,2,3,0,2,1,3,2,1,2,2,3,1,0,2,2,2,4,2,3,2,3,1,3,0,2,0,1,4,0,0,1,3,0,0,1,0,2,1,1,1,1,1,1],"extra_SRR2174320.38":[18,12,6,19,5,9,9,7,9,12,7,9,8,5,7,3,6,8,5,5,3,6,6,6,4,6,23,5,7,11,6,5,3,7,4,6,8,6,4,4,3,3,5,3,5,6,3,3,2,7,3,4,5,4,2,3,2,5,1,7,2,3,4,5,2,4,3,3,6,6,5,4,3,1,5,3,2,3,3,3,4,2,1,7,2,3,4,3,2,2,4,2,4,5,4,2,2,3,2,2,2,6,1,1,8,3,1,1,2,2,2,2,3,3,3,4,1,3,4,4,3,1,5,3,3,2,4,3,2,1,3,6,4,13,1,5,4,2,0,1,6,5,3,4,2,2,4,3,4,0,2,2,3,5,3,5,2,2,1,2,2,6,2,3,1,2,4,0,2,1,1,2,1,1,3,2,6,5,3,2,1,3,2,3,1,1,0,0,1,0,3,11,2,2,2,3,2,2,0,1,4,2,2,3,5,1,4,0,2,1,1,2,3,1,2,1,2,2,2,3,1,1,2,2,2,1,3,1,2,3,1,3,0,0,1,1,1,2,1,2,2,2,5,1,2,0,2,0,0,5,1,2,4,2,6,2,3,0,2,0,2,0,2,3,1,1,0,3,1,1,3,1,2,0,4,2,1,0,3,3,0,1,1,1,0,0,1,2,0,2,0,0,0,1,0,0,1,0,2,0,3,2,0,0,0,1,2,1,1,2,1,1,1,0,0,1,0,0,1,1,2,0,1,3,1,1,1,1,2,1,0,5,1,2,0,1,2,0,4,0,0,1,0,1,0,0,1,2,0,1,1,0,1,0,0,1,0,2,0,0,1,1,0,0,3,1,1,0,1,0,2,1,5,0,0,0,1,2,0,1,0,1,0,1,0,1,0,1,2,0,1,0,1,1,2,1,0],"extra_SRR2174321.10":[76,59,58,68,63,53,86,59,45,56,65,40,50,49,38,36,45,38,38,42,34,31,31,28,31,25,24,25,26,23,23,18,19,24,37,23,22,18,21,22,15,11,19,8,12,10,14,17,10,10,13,10,10,15,8,8,8,6,10,7,6,7,6,10,6,2,3,5,2,8,5,5,2,5,2,2,2,4,3,3,11,4,1,4,4,0,0,2],"extra_SRR5580761.114":[182,145,140,125,119,124,124,89,79,63,73,77,59,55,28,25,41,24,23,14,35,18,8,16,9,7,5,3,4],"extra_SRR5580762.42":[155,140,129,134,127,119,118,103,88,74,77,91,49,54,48,55,33,22,45,25,24,23,27,14,22,19,21,18,8,12,11,11,7,10,5,2,4,2],"extra_SRR5580763.92":[182,171,140,122,119,132,113,101,84,93,73,77,61,45,32,60,38,33,28,28,25,25,23,29,23,18,8,16,8,10,12,10,7,0],"extra_SRR5925326.20":[31,9,11,9,10,6,6,7,9,7,5,12,5,6,7,8,6,5,6,6,6,8,9,7,8,4,4,6,6,5,4,3,6,8,4,3,6,5,6,4,7,5,5,6,10,5,3,7,4,4,4,5,4,7,4,7,3,5,4,5,5,4,2,2,5,2,4,2,5,2,3,3,4,0,8,5,3,4,3,2,4,6,3,2,2,2,3,8,2,3,2,2,3,3,3,3,5,2,2,3,4,2,4,3,5,4,2,2,5,3,0,2,4,2,0,3,4,1,2,4,4,0,2,2,1,2,1,2,2,4,3,3,2,1,1,2,2,2,4,2,3,1,2,3,1,0,0,1,2,1,3,3,0,2,2,2,1,0,2,3,3,3,1,4,1,2,1,2,4,2,1,2,3,3,2,1,2,2,1,3,1,3,1,2,2,1,2,1,3,1,3,2,1,3,1,1,1,6,1,2,1,2,0,4,1,1,3,0,2,2,5,2,1,1,1,1,1,1,2,1,2,1,1,1,1,0,1,2,1,1,2,3,1,3,0,1,1,4,1,0,1,1,1,2,0,6,1,1,1,1,2,1,2,1,2,1,0,5,1,2,3,0,1,0,2,1,2,2,1,2,1,3,1,2,2,2,1,3,1,0,4,0,1,1,0,1,1,0,0,0,0,1,2,3,2,0,1,3,0,2,1,0,0,0,0,2,1,2,1,2,2,0,2,1,0,1,0,4,2,2,2,0,2,1,2,1,0,1,1,1,3,2,0,3,0,1,0,0,2,0,2,0,0,0,1,0,1,2,1,0,0,2,2,1,0,0,0,2,1,1,1],"extra_SRR5927679.39":[3,20,13,3,14,14,12,12,12,10,11,10,0,14,10,10,12,10,8,3,5,12,7,7,12,11,12,12,5,10,5,7,7,6,6,4,7,5,4,2,9,8,7,6,9,7,5,5,7,6,9,5,2,3,6,5,5,4,1,6,5,3,7,4,4,5,3,5,5,8,4,5,2,3,2,4,4,3,5,7,6,5,3,2,5,3,4,2,7,4,5,4,3,1,6,4,3,4,2,5,3,2,0,4,3,4,0,4,2,1,4,3,3,5,4,3,4,4,2,0,3,2,4,2,1,3,0,3,1,2,3,2,2,4,1,2,2,4,4,2,3,4,4,7,2,7,2,4,4,5,4,5,3,3,2,5,3,2,2,4,3,3,2,4,2,1,2,4,3,9,5,4,2,2,2,3,3,1,4,2,5,0,0,1,2,2,2,2,4,3,3,2,1,4,0,1,3,2,1,1,5,3,5,2,0,0,5,1,2,2,1,1,3,1,1,1,0,1,2,3,5,2,1,1,0,1,2,0,0,5,0,2,2,3,2,4,3,1,4,3,1,1,0,2,1,1,0,3,2,1,0,2,1,2,0,0,1,3,1,3,2,0,2,1,2,0,1,6,2,1,1,1,0,0,0,3,0,1,7,3,2,0,0,2,2,1,1,1,2,2,1,0,1,3,1,0,1,0,1,1,0,0,0,2,0,0,0,3,3,0,0,1,1,2,0,1,2,0,3,0,4,1,2,0,1,3,2,1,0,4,1,0,1,0,1,1,1],"extra_SRR5927681.71":[16,29,7,0,10,9,10,6,7,6,8,7,6,2,5,6,6,7,6,6,15,0,2,8,5,7,6,2,7,6,6,6,3,5,9,3,5,4,6,4,5,9,4,0,5,4,5,4,3,7,2,5,2,4,0,3,4,2,3,4,4,1,3,5,3,4,4,4,8,2,3,4,4,4,1,7,2,7,3,1,1,4,2,5,4,0,5,3,2,2,7,5,1,3,1,2,2,3,2,3,2,2,2,5,2,4,0,1,4,3,3,2,1,2,3,3,4,0,4,2,2,1,2,4,2,2,3,1,3,4,3,3,2,0,5,2,2,1,1,2,1,3,2,3,3,3,2,0,1,0,4,0,2,1,1,2,1,2,1,0,1,0,2,0,1,1,1,2,3,2,2,1,1,0,2,1,1,2,1,1,2,2,0,0,1,2,1,3,0,0,1,3,1,0,1,1,1,0,0,0,1,1,1,2,0,1,0,1,1,1,0,0,1,0,3,1,0,0,1,1,1,1,2,0,1,1,2,0,4,2,1,2,1,1,0,1,1,0,4,1,1,1,0,1,1,0,1,1],"extra_SRR5927682.28":[175,84,54,67,60,60,47,50,48,64,45,41,41,43,50,30,36,30,21,25,31,22,25,19,18,23,24,15,16,15,8,12,9,7,13,8,10,6,5,0,8,0,7,14,9,14,3,2,6,7,3,4,1,0,0,1,1,0,1,0,1],"extra_SRR5927686.74":[114,68,59,62,54,43,39,45,43,28,51,46,45,41,38,33,36,41,0,29,38,30,24,6,25,17,17,27,18,6,16,20,31,13,12,0,8,11,14,0,18,10,12,11,0,0,13,11,13,9,18,6,10,7,9,0,8,6,0,3,3,3,5,8,6,0,7,8,5,3,0,3,0,2,1,2,3,0,2,1,3,0,0,2,2,4,0,0,12,2,0,3,1,1,1,1,0],"extra_SRR5927689.35":[74,66,50,46,42,46,40,44,32,24,28,27,29,25,38,24,22,32,24,21,18,19,0,15,15,14,0,18,16,11,6,14,8,9,15,11,11,11,9,9,15,11,10,7,4,6,1,10,9,7,7,4,6,7,6,7,3,7,4,5,5,5,5,5,1,7,5,4,3,0,7,2,4,5,0,3,6,5,5,2,4,0,0,4,6,2,0,4,0,3,7,0,0,0,0,5,3,0,12,1,3,4,1,0,3,0,3,0,1,3,3,0,1,0,0,2,1,2,0,0,1,6,0,0,1,1,0,0,2,2,0,2,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,2,0,0,0],"extra_SRR5927690.6":[27,21,23,13,20,19,15,13,18,13,15,16,14,12,10,12,13,14,14,14,11,11,8,3,8,4,9,7,8,8,10,13,8,11,9,7,8,6,10,10,8,6,9,12,10,9,9,15,9,7,7,9,6,1,6,5,5,8,6,3,4,6,11,5,6,7,8,8,7,6,8,5,2,4,7,5,4,3,6,11,5,2,5,5,4,4,5,4,7,5,4,4,5,10,5,3,5,4,1,4,2,4,4,3,3,3,2,5,3,5,4,0,3,4,3,2,3,2,7,5,0,2,5,2,0,5,3,2,3,4,1,1,1,2,3,4,2,1,3,2,3,2,2,4,2,3,0,2,3,4,1,5,4,8,2,2,0,0,0,0,1,2,2,1,0,1,6,3,2,1,2,3,2,0,1,2,1,3,5,1,0,1,2,0,0,0,2,0,0,0,1,0,1,0,0,2,0,1,1,1,1,2,0,0,0,0,1,0,0,1,0,2,0,0,0,2,1,1,0,2,0,1,0,0,1,1,1,2,2,0],"extra_SRR5927696.30":[282,178,167,142,140,131,87,74,74,55,45,56,22,58,52,20,29,25,8,12,2,7,0,0],"extra_SRR5927698.79":[196,172,140,135,135,133,133,114,110,87,52,33,43,52,28,23,18,16,0,12,12,1,5,7,2,7,0,4,1,1,2,0],"extra_SRR5927701.10":[10,11,8,8,9,8,7,7,7,6,4,8,7,4,5,7,6,6,6,5,5,5,3,3,1,6,4,4,6,5,4,6,4,5,11,7,4,4,2,3,3,1,4,5,3,2,7,5,1,5,2,3,3,3,7,3,3,4,1,3,4,3,2,3,2,3,2,0,2,7,4,3,3,2,4,0,3,2,3,5,3,4,2,4,4,3,6,2,2,3,4,1,1,4,4,6,3,1,2,3,0,2,4,1,3,2,4,2,4,1,2,1,1,2,6,2,5,3,2,1,2,2,2,8,1,4,1,3,1,2,2,0,3,0,2,2,0,2,1,3,0,7,3,3,2,0,1,1,1,2,1,2,0,4,0,1,0,2,0,3,2,2,3,0,1,1,1,1,3,1,2,2,0,0,1,3,1,0,2,1,0,1,1,1,3,0,0,2,1,1,2,1,2,1,0,0,2,2,0,1,1,2,1,1,0,0,1,0,1,0,0,1,0,1,1,1,2,0,1,0,2,0,3,1,0,1,2,0,1,0,2,0,1,0,0,0,1,1,1,0,0,2,1,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,3,1],"extra_SRR5927702.80":[60,62,52,43,46,43,46,43,38,37,34,29,23,22,32,28,38,26,26,24,18,22,21,27,21,20,0,15,13,31,12,13,12,14,15,12,15,10,12,19,12,11,6,11,12,10,13,11,13,11,18,6,0,7,10,3,8,3,9,8,0,6,6,3,8,5,6,5,8,0,8,5,3,1,6,7,5,5,6,6,3,4,5,4,5,4,9,3,3,3,2,3,2,4,2,4,2,2,1,3,2,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0],"extra_SRR5927704.2":[10,8,9,6,6,6,7,5,11,8,3,5,7,2,5,6,3,4,1,5,4,3,4,3,4,4,6,3,3,4,2,4,11,2,5,0,2,3,2,0,2,0,2,4,8,6,2,2,2,5,0,1,6,1,1,3,3,4,3,2,3,2,1,2,4,1,3,4,3,0,1,3,0,3,0,3,0,2,2,0,0,2,1,2,1,2,1,2,1,4,0,2,4,3,0,1,0,2,1,5,2,3,1,1,1,1,2,1,2,2,3,2,2,1,2,1,2,2,1,0,1,1,1,1,1,2,2,1,0,1,2,1,2,1,1,1,2,3,3,1,1,1,3,3,1,3,3,5,0,1,1,1,2,2,1,1,1,2,1,2,1,2,0,2,2,1,2,2,1,1,1,2,1,2,1,0,1,1,1,3,1,0,2,1,1,2,1,2,1,2,1,2,0,0,0,2,4,0,1,1,0,0,2,1,3,1,1,2,0,0,0,0,1,0,2,0,0,1,2,2,1,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,2,0,0,2,1,0,0,0,0,0,2,1,1,4,4,0,2,0,0,0,1,4,0,1,0,2,1,1,0,0,0,1,0,1,2,2,0,0,0,1,1,2,1,2,1,0,0,0,0,1,1,0,0,0,0,1,0,4,0,1,3,1,0,1,0,2,0,0,0,1,0,0,1,3,4,1,1,0,2,0,0,1,1,0,1,0,0,0,2,0,0,1,1,0,0,0],"extra_SRR5927705.1":[18,14,11,12,9,7,11,10,9,8,9,8,7,10,6,15,7,8,6,6,6,6,2,4,4,7,5,5,6,11,7,5,5,4,5,5,4,2,5,3,6,3,4,3,3,4,3,4,4,3,5,4,4,3,3,2,5,2,5,5,3,6,1,1,1,3,3,6,4,3,2,1,3,2,3,1,1,3,2,2,3,2,1,0,5,3,2,2,7,5,3,2,3,2,2,3,2,2,1,1,3,2,1,2,2,2,2,2,4,5,2,1,1,1,2,1,0,2,2,1,6,2,2,4,1,4,0,1,0,3,0,2,2,1,2,1,1,2,1,0,0,0,0,0,2,2,1,1,1,0,0,1,2,1,2,1,2,1,2,2,0,4,0,2,1,1,0,2,2,0,0,0,0,1,2,1,1,0,1,0,1,0,0,2,2,0,0,1,1,0,1,1,0,0,0,0,3,2,2,2,0,2,1,0,0,1,0,1,2,0,1,0,0,0,1,0,0,2,4,0,1,0,0,0,0,0,0,3,0,1,0,0,0,0,1,2,1,2,2,0],"extra_SRR5927707.30":[91,71,83,72,63,64,62,52,39,52,44,41,39,37,41,25,28,27,21,6,18,19,31,20,17,17,12,15,8,12,0,6,11,12,0,13,10,18,1,7,7,9,6,8,5,0,1,7,5,1,12,4,2,1,3,1,0,0,0,0,0,0,0,1],"extra_SRR5927708.48":[52,46,46,30,22,29,33,32,27,25,27,21,25,23,20,17,38,20,24,18,17,15,19,16,16,13,14,20,15,16,10,9,22,12,12,10,21,18,10,12,7,0,4,9,9,5,5,6,9,7,0,6,6,3,6,3,7,5,0,3,8,4,1,4,0,3,5,0,2,0,4,1,1,3,4,1,0,0,0,1,2,0,0,0,1,0,0,1,1,2,0],"extra_SRR5927709.41":[41,51,39,43,43,39,28,37,42,36,30,31,31,31,18,25,25,26,29,22,18,25,27,21,18,18,16,17,20,16,18,19,14,13,15,29,12,12,13,8,9,13,14,11,29,9,9,10,12,8,13,8,10,7,9,14,6,9,6,8,6,3,6,3,8,8,4,3,5,2,8,7,6,3,5,4,7,5,7,4,0,0,0,2,4,3,3,3,4,2,3,4,1,3,4,3,5,0,2,2,3,0,0,2,1,1,0,2,2,2,1,0,0,0],"extra_SRR5927712.38":[57,28,21,30,31,27,41,36,21,51,25,30,27,20,21,20,16,17,21,18,18,22,18,12,16,16,15,10,14,11,17,14,10,9,12,14,10,13,4,11,6,8,0,9,6,0,8,7,4,5,3,4,5,5,4,4,4,1,3,1,1,2,0,0,1,0],"extra_SRR5927714.26":[163,95,76,63,71,72,64,50,44,67,38,52,43,43,45,39,37,22,29,34,41,26,20,25,24,26,21,27,21,31,8,11,12,6,24,13,9,3,8,4,9,9,3,7,5,3,7,4,7,0,3,7,7,0,1,4,2,4,0,5,4,2,0,4,0,1,3,1,1,1,0,2,2,1,0,1,3,0,0,0,1,0],"extra_SRR5927715.35":[59,41,55,52,46,45,44,45,41,42,39,28,39,38,22,34,33,37,29,23,29,22,26,15,22,26,21,21,17,14,6,15,21,16,7,12,12,13,15,13,39,29,12,10,14,20,8,9,14,19,13,24,12,3,15,10,7,8,7,3,0,8,9,2,10,9,5,5,7,6,5,8,4,6,7,8,3,8,5,5,2,6,6,5,8,5,6,0,7,2,0,12,1,5,0,3,5,1,1,0,3,0,2,2,0,2,2,0,2],"extra_SRR5927718.58":[20,18,11,13,16,14,27,11,9,12,10,16,8,10,8,7,2,8,5,9,2,7,10,8,6,12,8,7,5,7,6,7,7,4,9,5,7,4,6,5,6,3,4,5,6,8,5,5,6,6,8,5,4,4,5,5,4,8,5,4,2,5,5,4,6,8,3,9,4,4,6,7,5,11,2,6,3,5,6,5,5,9,5,2,4,6,2,2,4,5,4,5,4,2,3,10,5,3,4,2,5,6,3,6,3,4,4,4,6,2,6,5,4,2,3,3,3,3,3,4,2,1,4,3,0,7,3,2,2,3,1,3,1,3,1,3,1,0,2,4,3,1,1,2,2,2,1,1,2,2,1,1,3,1,3,1,2,6,0,2,2,2,3,0,2,2,5,0,1,0,1,1,1,2,0,1,1,1,4,0,0,2,1,2,2,2,0,0,0,0,1,1,0,2,0,1,0,1,2,1,1,0,0,1],"extra_SRR6032568.47":[37,21,19,22,16,18,0,18,18,14,16,18,17,16,15,11,18,15,17,0,11,11,14,14,12,12,12,13,10,16,14,10,9,12,12,12,9,8,11,10,7,10,8,10,13,5,18,2,7,7,6,8,7,3,5,9,11,6,9,7,13,13,4,8,10,7,0,7,5,8,8,7,8,7,4,5,3,5,12,6,5,5,11,5,6,7,7,2,6,5,7,8,6,12,10,7,5,0,8,7,13,0,7,5,5,2,0,4,6,6,4,7,3,5,9,6,4,1,2,0,7,2,3,5,2,5,7,4,3,1,4,3,3,5,1,3,4,2,6,4,6,4,4,5,2,8,6,3,3,2,3,3,3,4,2,3,3,2,4,2,2,2,1,3,0,1,2,3,3,3,7,2,1,2,1,3,4,2,4,1,1,0,2,0,1,0,4,2,7,0,2,0,0,1,0,1,1,2,3,0,1,2,2,3,2,0,1,2,2,1,1,3,2,2,1,0,1,2,1,2,1,2,0,1,1,1,0,0,1,0,0,2,1,1,0,3,0,2,3,4,0,1,0,1,1,2,0,2,0,1,0,0,0,0,1,1,3,1,1,0,2],"extra_SRR6032569.13":[9,13,7,8,8,7,7,8,9,7,7,7,11,3,5,4,4,5,5,6,5,2,4,0,7,5,7,16,0,6,3,4,5,4,6,3,5,3,4,4,4,2,3,3,2,3,8,4,3,4,5,6,2,2,0,7,3,2,5,5,5,4,6,3,3,0,4,4,2,3,1,3,2,3,3,0,4,4,2,4,5,2,2,0,6,4,2,3,2,5,4,2,2,1,4,3,2,3,2,2,4,0,3,4,3,4,3,1,2,1,1,2,4,4,3,5,1,3,0,5,1,2,0,0,1,2,1,0,1,3,2,1,3,2,2,2,5,0,3,1,3,2,2,1,4,2,3,4,1,3,4,6,1,2,1,1,1,1,0,0,0,1,2,2,2,2,3,7,3,1,0,3,1,2,1,2,0,1,5,1,1,5,4,3,0,1,0,0,0,3,1,1,1,1,2,3,2,1,2,1,3,2,2,0,0,0,4,3,2,1,2,0,1,1,2,0,1,1,0,1,1,1,1,3,1,3,2,1,2,2,3,1,3,1,2,3,3,2,1,0,0,0,2,1,1,0,2,2,2,2,3,0,2,0,1,0,1,4,0,1,0,2,2,2,1,1,1,5,1,1,1,3,1,0,1,1,3,0,3,0,1,0,2,1,3,2,0,3,7,0,0,0,1,1,3,1,1,0,1,1,1,0,1,0,1,2,1,1,0,0,0,2,0,0,0,1,4,1,1,2,0,1,1,1,5,0,0,0,1,0,0,0,1,2,0,0,0,0,0,2,2,0,0,0,0,2,0,2,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,2,4,0,1,0,0,1,0,0,1],"extra_SRR6032570.31":[30,26,24,21,20,20,18,34,19,20,12,20,15,16,12,28,12,8,13,12,13,12,0,12,17,11,13,12,15,10,13,8,5,11,7,12,8,5,9,14,6,11,10,9,10,10,5,0,10,9,13,6,8,5,4,11,6,0,8,6,7,7,6,6,8,3,0,6,5,7,5,7,7,6,9,5,5,6,5,7,8,6,4,11,3,4,6,6,7,6,0,7,6,4,3,7,5,5,17,4,1,3,4,3,6,2,6,2,4,8,6,7,1,5,5,3,6,4,2,7,5,3,2,3,0,4,4,2,4,3,0,7,4,3,2,4,3,1,5,5,2,3,0,3,3,2,2,4,3,0,3,4,1,4,2,0,3,4,0,2,3,3,2,6,4,1,2,1,1,1,3,3,3,3,1,1,2,2,4,2,3,0,5,3,4,3,3,2,3,3,2,3,2,1,1,2,2,3,0,2,2,1,0,1,2,2,1,2,1,1,2,2,2,0,1,1,1,0,1,0,2,0,3,0,1,2,1,0,1,2,0,1,1,1,0,0,3,2,2,4,0,2,0,0,0,0,0,1,3,2,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0],"extra_SRR6032571.9":[31,22,21,0,15,16,17,16,17,12,14,16,22,11,16,0,12,28,12,14,12,10,15,18,6,12,11,16,13,0,13,12,10,4,8,14,13,9,5,8,10,7,15,8,9,7,10,7,11,8,7,4,8,7,8,8,10,11,7,6,6,5,5,6,6,10,4,7,6,5,4,4,4,6,3,6,4,8,4,2,4,3,6,5,5,4,6,0,4,5,3,14,2,4,3,9,5,10,9,2,2,7,8,2,3,0,5,4,2,3,6,5,1,5,4,1,4,4,4,6,0,3,2,4,4,4,2,5,7,2,6,3,4,5,5,5,5,3,2,6,4,4,4,0,3,4,2,3,3,2,6,0,3,1,1,3,2,4,3,3,2,3,3,1,2,2,4,1,3,2,5,5,3,3,1,0,3,2,0,3,3,2,0,3,3,4,2,4,1,3,2,1,2,3,3,4,2,4,3,3,3,0,3,5,3,2,4,3,3,2,2,4,0,6,0,0,1,3,3,4,1,2,0,1,1,2,0,4,3,1,1,0,2,1,2,0,2,0,1,0,1,1,0,3,0,0,4,1,0,1,0,3,0,0,0,0,0,0,0,2,1,0,3,2,1,2,0,1,0,0],"extra_SRR6032572.43":[11,9,9,9,8,10,0,5,7,6,9,5,7,6,6,7,10,7,3,4,4,5,3,3,4,7,4,7,4,4,7,5,2,7,5,3,5,3,0,4,5,5,7,5,4,3,4,4,3,6,5,3,0,1,4,0,3,3,2,6,3,3,2,5,5,4,4,3,1,2,4,4,3,4,1,2,0,2,1,2,2,0,7,2,4,1,3,4,3,5,2,1,6,1,3,0,2,3,7,4,3,0,3,2,5,1,2,3,1,4,1,3,4,4,3,2,4,1,4,1,2,3,2,1,3,2,4,1,1,3,2,2,2,6,1,0,1,3,0,0,1,3,6,7,1,2,2,3,1,1,1,2,4,2,0,1,1,2,2,1,2,1,2,2,3,2,1,1,3,4,1,1,2,7,0,0,0,1,2,1,0,3,5,1,0,5,2,0,1,2,2,2,1,2,2,1,0,1,1,1,1,1,1,1,3,2,0,3,0,4,3,2,0,2,0,0,2,0,0,1,2,2,1,0,0,1,0,4,2,1,1,1,2,2,0,0,0,0,0,1,0,2,0,0,0,1,0,3,0,1,1,0,2,2,0,2,2,2,1,1,2,1,0,0,0,1,2,0,1,2,0,0,1,2,0,1,1,0,1,2,1,2,1,0,2,0,1,2,3,0,2,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,2,1,1,0,0,0,4,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0],"extra_SRR6032575.4":[23,17,19,12,13,20,18,13,16,0,14,21,14,16,9,11,10,13,11,10,7,6,16,11,9,22,11,11,11,10,7,9,11,12,8,9,20,0,8,10,0,10,9,8,7,7,7,10,6,9,6,5,9,7,10,2,13,9,8,7,0,5,7,6,8,5,18,6,6,8,8,5,2,7,4,4,5,6,4,7,5,7,6,7,5,8,7,5,6,4,3,6,7,6,3,5,5,2,3,6,6,8,5,5,4,2,6,2,5,3,0,4,5,3,10,5,2,4,1,1,4,4,10,5,4,2,8,3,4,3,3,3,4,2,2,4,3,3,6,5,7,0,4,4,4,5,1,2,4,2,6,3,3,4,3,1,2,1,1,4,1,3,6,4,3,4,0,1,1,2,4,3,2,0,4,3,2,1,4,3,3,1,3,2,3,0,3,1,6,2,2,3,0,2,2,5,2,5,3,2,3,1,3,0,3,1,3,1,1,0,1,0,2,1,1,2,4,3,0,1,2,4,1,2,2,2,1,0,0,7,0,0,2,0,0,1,2,2,1,2,0,1,2,2,2,1,2,2,0,0,1,1,0,1,2,1,0,1,3,0,3,1,2,2,0,1,0,2,1,0,0,1,0,3,1,2,1,3,3,2,0,0,1,1,1,2,1,0,0,4],"extra_SRR6032579.13":[37,0,24,21,24,22,28,23,32,19,24,17,16,21,20,15,14,16,29,14,15,14,7,8,12,18,13,10,11,12,11,13,12,8,9,0,16,7,8,10,9,12,10,7,13,11,8,0,5,14,9,8,9,9,7,0,7,9,9,9,0,8,8,6,7,8,2,7,8,5,6,7,13,4,10,5,5,9,7,7,6,8,6,7,6,6,8,11,3,0,8,6,7,6,0,0,7,4,2,7,5,3,3,9,4,0,5,3,2,6,4,3,6,2,5,7,5,3,6,5,5,4,9,6,0,4,4,6,3,0,2,3,5,3,3,7,4,3,1,3,3,4,3,1,0,2,0,4,6,0,3,0,0,1,4,0,8,4,1,5,3,1,4,0,0,4,2,2,5,2,2,1,3,4,0,2,2,1,5,0,3,0,2,2,0,4,3,2,5,6,0,0,3,3,0,0,2,3,1,1,2,7,3,1,2,4,0,0,0,0,0,0,0,4,0,1,2,2,2,1,3,5,1,1,0,1,2,2,0,0,4,0,0,0,0,1,2,0,1,1,0,0,3,1,0,1,0,2,0,0,0,0,0,1,0,2,0,0,3,0,1,1,0,0,0,0,3,0,0,0,0,0,0,0,1,12,1,0,0,1,1,0],"extra_SRR6032581.14":[103,80,72,62,59,55,62,51,56,45,43,48,50,51,46,21,38,34,53,32,28,25,28,21,23,20,18,28,21,15,20,0,21,22,14,0,15,18,0,29,13,14,9,8,18,7,12,9,13,15,0,14,12,27,8,13,11,1,11,10,11,3,6,8,1,7,4,5,4,0,0,6,0,3,4,0,5,12,0,0,1,3,1,0,0,0],"extra_SRR6032583.10":[20,15,15,14,10,13,14,10,11,24,6,6,8,7,6,8,10,9,8,9,7,3,6,8,2,8,5,8,7,8,5,0,2,5,0,8,8,8,7,6,6,2,5,4,5,17,5,7,0,6,3,9,5,0,6,4,3,5,4,3,3,5,5,4,5,5,5,3,4,4,3,3,7,2,6,1,5,4,3,5,3,4,4,3,4,4,3,5,8,2,4,4,3,6,4,6,4,5,4,3,3,3,0,6,0,5,7,3,6,3,3,4,6,4,8,1,2,0,4,2,3,4,3,3,2,3,4,3,1,3,4,1,4,3,4,3,0,2,2,0,2,4,2,5,4,1,2,0,2,4,3,3,6,3,0,3,2,0,3,3,2,1,0,0,2,1,1,3,3,3,1,2,2,8,1,2,2,2,4,5,1,3,2,5,2,2,1,0,3,2,2,3,0,3,2,1,3,3,2,3,1,3,1,1,4,3,2,3,2,1,2,2,1,3,4,6,2,0,1,1,1,0,1,0,2,2,1,0,2,1,2,2,1,0,0,3,2,0,1,0,2,4,1,1,0,2,0,0,5,0,0,1,2,3,2,0,1,1,0,0,1,0,0,2,1,0,3,0,0,0,0,0,4,3,3,1,1,2,1,1,2,2,0,0,3,2,0,0,1,0,1,0,1,2,2,0,0,1,2,0,0,0,0,0,0,0,0,2,0,2,2,1,1,1,0,0,6,0,1,0,1,0,0,1,3,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,2,1,0,1,1,1,0,4,2,0,1,1,0,0,1,0,1,1],"extra_SRR6032588.12":[63,54,45,47,47,42,44,5,34,34,34,32,24,41,0,25,25,24,27,24,22,16,18,21,27,2,19,20,22,20,18,19,0,17,15,18,11,16,22,13,0,14,10,0,2,0,12,13,20,20,8,17,24,8,0,8,10,8,24,10,8,10,8,1,10,0,9,13,9,7,0,22,9,7,9,4,9,9,9,13,0,0,9,0,6,3,6,0,0,5,9,3,7,6,7,3,7,0,5,7,7,5,3,2,5,0,3,0,3,9,3,6,6,5,6,0,0,0,3,4,0,3,3,4,3,0,4,0,3,0,0,3,3,1,3,2,2,1,0,0,3,0,0,2,2,0,0,2,0,0,0,1,5,2,2,2,1,0,0,0,0,0,2,1,1,4,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,5,1,2,1],"extra_SRR6032598.1":[21,22,16,19,19,11,17,14,12,11,0,16,16,15,14,13,13,0,11,11,8,13,11,10,10,8,10,12,10,9,5,10,12,8,0,7,9,6,6,7,9,5,7,9,7,8,6,9,8,5,5,7,6,0,3,5,8,2,7,6,9,14,7,1,7,5,8,3,7,18,6,10,6,4,8,6,4,8,3,4,5,11,7,6,5,8,6,4,5,3,4,4,3,2,9,4,6,6,11,3,5,5,7,6,6,9,5,5,2,7,5,4,5,4,3,4,4,5,3,2,6,7,3,0,4,5,2,3,12,2,2,6,5,3,0,3,5,0,3,2,3,2,3,4,1,3,2,4,9,0,3,3,4,1,4,5,4,5,4,2,3,2,4,2,2,1,1,4,4,3,0,0,5,3,3,2,2,0,0,3,3,4,0,2,0,3,1,3,2,3,3,3,3,1,3,1,2,3,3,2,3,2,2,1,1,1,2,0,2,2,3,1,0,2,1,1,6,2,0,2,2,3,1,1,1,0,3,2,1,2,2,2,0,2,0,1,2,2,1,0,3,0,1,0,2,0,0,1,2,1,0,1,2,0,1,1,1,0,2,0,0,1,1,1,1,0,6,0,0,1,0,0,0,1,0,2,4,0,1,1,0,0,1,0,0,3,1,1,1,3],"extra_SRR6945401.17":[11,5,6,11,7,7,4,6,11,5,5,7,12,2,4,14,4,3,8,3,4,7,2,5,6,3,3,8,4,0,6,4,3,5,5,6,3,3,2,4,3,5,1,2,6,8,1,3,2,4,4,1,4,4,3,4,4,4,5,4,2,2,0,4,1,3,7,2,2,3,5,2,0,5,8,2,0,5,3,5,4,3,4,6,5,3,2,3,3,1,2,5,1,0,7,2,5,1,1,3,5,2,2,6,2,1,3,4,1,0,2,2,3,4,1,3,0,3,2,4,3,4,4,2,3,1,2,1,3,3,2,2,0,1,3,1,2,2,5,2,2,0,2,2,1,2,2,1,1,1,2,1,0,2,2,7,2,5,1,1,2,1,2,2,2,1,0,1,1,2,0,1,2,0,2,1,0,1,1,1,1,2,1,0,1,2,3,0,1,1,2,1,2,0,1,2,2,4,0,2,1,1,2,0,2,4,3,2,1,2,1,0,2,3,1,1,1,1,2,0,3,0,2,0,1,3,1,2,2,2,3,0,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,2,3,0,1,1,3,1,1,0,2,1,2,4,0,3,0,1,1,0,0,0,4,0,2,2,2,1,0,1,1,0,3,1,3,1,1,1,0,2,2,1,1,1,1,0,1,0,0,1,0,1,0,0,2,1,2,0,1,1,0,1,1,0,2,0,1,1,1,0,1,1,0,1,1,1,1,0,2,1,0,1,0,1,1,2,2,1,0,0,2,2,0,0,2,1,1,1,1,0,4,1,4,3,0,0,0,1,1,0,1],"iMGMC_978":[61,62,46,42,33,41,35,36,24,29,30,23,23,27,30,18,17,18,25,16,17,18,14,19,16,14,16,8,28,12,11,13,14,9,12,13,12,10,12,12,8,7,8,12,8,8,11,9,8,9,7,10,7,16,14,11,12,7,9,6,7,7,8,8,16,5,12,8,5,6,7,8,6,6,4,4,4,8,8,8,6,7,4,4,4,3,15,5,4,5,2,7,3,2,5,4,2,3,5,7,2,2,4,3,7,0,2,4,1,4,1,1,3,7,1,2,3,2,4,2,3,3,0,5,1,6,2,0,3,2,1,1,2,0,2,2,11,1,2,0,2,1,2,2,2,1,2,0,1,3,2,4,1,1,0,0,2,0,1,0,0,1,0,0,0,1,0,0],"single_China_S_Fe11_120417.17":[8,9,5,6,1,2,4,3,3,6,2,7,7,4,3,4,3,4,6,3,1,4,3,4,3,3,3,6,3,6,3,1,2,4,3,3,3,2,3,3,4,3,3,2,2,4,0,1,2,5,4,0,3,4,1,1,2,3,3,1,3,7,2,1,3,1,2,3,2,1,3,4,1,0,2,3,6,1,2,0,1,0,2,4,1,3,1,1,3,2,3,3,1,1,1,1,2,2,0,1,4,1,3,1,0,1,2,2,1,1,1,2,3,3,1,1,2,2,0,3,1,1,2,1,2,1,0,2,1,1,2,3,1,1,2,1,1,2,3,0,1,0,4,1,0,1,3,1,0,2,2,1,0,1,0,0,1,4,1,1,1,3,2,4,1,0,4,4,1,1,2,3,1,0,0,1,2,0,1,3,0,0,0,3,2,1,2,1,1,1,2,1,0,1,2,0,0,1,1,0,1,0,1,1,3,0,2,3,1,1,0,0,2,1,2,2,2,1,2,1,1,2,1,0,0,1,1,3,4,0,1,1,2,0,0,2,2,0,1,0,0,0,2,3,1,0,1,1,2,0,0,1,1,2,1,0,1,1,0,0,0,1,2,1,0,1,1,1,0,1,0,2,0,1,1,1,1,0,0,1,2,1,0,0,0,2,0,1,1,1,1,1,1,5,0,1,1,0,1,1,3,0,1,3,0,0,0,2,0,1,0,0,0,0,1,0,3,0,1,1,1,0,1,0,0,1],"single_China_S_Fe12_120417.16":[227,176,188,140,127,119,97,79,88,77,53,54,25,25,41,14,16,8,16,15,7],"single_China_S_Fe13_120417.57":[12,9,8,5,7,8,7,6,7,9,5,6,7,6,12,6,14,5,7,6,5,6,4,9,7,8,3,6,6,3,5,3,4,4,3,5,0,2,7,7,3,4,2,2,7,5,3,2,3,9,2,4,4,3,3,4,2,5,4,2,5,4,10,5,4,2,6,4,2,4,4,2,3,4,3,3,3,2,4,2,6,4,4,3,4,5,4,5,2,1,1,5,6,3,3,4,2,4,3,3,1,6,4,1,1,1,2,4,2,3,2,3,0,2,4,1,2,4,2,3,0,2,0,1,1,0,5,2,2,3,2,3,1,2,2,2,0,1,1,3,2,1,2,1,1,0,1,2,2,3,1,2,1,2,4,1,0,1,1,0,2,2,2,1,2,7,2,2,2,3,4,2,1,2,4,2,1,2,1,1,5,5,1,1,2,3,2,1,2,0,2,4,1,0,3,3,1,2,1,2,5,4,1,0,3,1,1,1,1,0,1,1,1,1,1,1,3,11,0,2,1,0,1,2,1,1,0,2,2,2,1,1,1,0,1,1,2,1,0,0,1,1,0,2,1,1,1,4,1,0,1,1,1,0,1,0,3,1,1,1,2,0,1,0,1,4,2,2,1,0,0,1,0,0,1,1,0,1,0,3,1,0,1,0,2,2,2,0,0,0,2,5,1,0,1,0,0,1,0,2,1,1,1,0,1,1,1,3,1,1,3,2,0,0,1,1,0,1,0,2,1,0,1,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,2,2,1,2,0,0,2,0,2,1,0,1,0,0,1,1,1,1,0,4,0,0,5,1,0,2,0,1,1,0],"single_China_S_Fe14_120416.68":[18,9,12,3,11,6,7,6,7,9,6,4,6,15,5,6,6,7,8,3,1,11,4,4,6,8,6,6,9,1,6,8,7,6,4,5,3,7,2,10,3,3,5,6,4,6,4,4,2,6,2,2,4,4,7,2,3,4,3,1,4,5,2,5,2,7,3,3,4,4,7,1,4,1,5,7,4,6,6,5,5,3,13,3,4,1,4,6,4,2,2,5,5,4,3,2,2,0,1,3,3,4,3,1,1,2,2,4,3,4,4,3,4,1,3,3,3,4,2,1,4,2,3,3,3,2,3,2,1,3,1,2,4,1,2,1,3,4,1,4,5,3,1,1,0,0,1,1,3,1,1,1,2,3,0,2,2,2,1,2,3,6,3,16,3,2,5,2,2,1,2,4,3,3,2,3,1,4,2,3,3,2,2,1,2,1,4,1,2,4,3,2,2,2,1,1,3,3,1,1,0,3,2,1,6,2,1,4,4,3,2,1,1,1,3,3,0,1,2,1,1,2,0,2,1,1,1,2,0,1,1,2,1,4,1,0,3,2,2,3,1,0,0,6,1,1,2,0,1,0,2,0,1,0,3,1,1,1,0,0,1,2,5,2,2,2,0,0,1,3,1,0,0,1,0,1,0,2,1,1,1,0,0,0,0,1,1,1,3,0,1,1,2,1,1,2,1,2,1,0,0,1,2,0,1,1,0,1,0,0,2,1,0,1,1,1,2,1,0,2,1,0,0,2,0,0,2,5,2,0,1,0,2,0,0,1,2,0,0,0,0,0,4,0,0,1,1,0,0,0,1,2,0,1,2,0,0,2,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,1,1,4,1,0,1,1,1,1,0,0,0],"single_China_S_Fe16_120417.26":[86,44,64,37,37,45,41,29,36,35,32,25,26,22,22,22,26,21,37,23,21,37,19,27,22,22,26,19,19,19,14,17,12,17,17,15,22,20,16,17,15,22,12,14,15,18,14,5,8,12,14,10,7,7,10,11,16,9,14,9,14,13,12,11,10,10,9,8,6,7,7,15,6,14,12,9,10,10,5,6,7,4,3,7,6,3,7,7,12,5,4,3,8,4,4,4,5,4,10,7,4,16,6,1,6,5,4,4,2,2,4,5,4,6,1,4,2,4,1,3,1,5,2,2,2,2,1,2,3,4,3,4,1,1,1,2,2,2,3,3,2,3,2,1,5,3,2,2,4,3,0,1,1],"single_China_S_Fe20_120416.35":[297,278,182,176,150,140,119,132,97,105,79,77,48,36,25,14,25,8,14,8,7,4,2],"single_wildmice_C1220.78":[99,62,60,64,54,53,54,43,50,46,43,37,55,32,34,28,34,29,25,20,25,23,18,18,22,18,18,27,21,18,18,21,23,24,22,12,32,13,13,18,12,9,10,14,6,11,8,9,7,15,9,6,10,2,6,8,5,8,6,7,9,0,4,6,6,3,0,4,1,5,2,4,3,0,2,4,2,2,0,4,1,2,1,5,0,7,2,3,3,4,0,3,0,1,0,1,2,0,0,1,0,3],"single_wildmice_C1224.60":[24,22,20,25,22,23,25,21,17,23,19,15,19,8,13,16,15,19,12,18,15,13,14,20,8,13,11,12,11,13,9,13,16,8,10,8,11,6,6,9,11,11,8,14,8,8,10,6,11,2,7,6,9,19,8,4,6,9,7,8,11,4,9,5,7,6,5,7,8,8,6,6,5,5,6,6,11,5,5,4,4,5,7,5,9,3,3,6,3,3,2,7,4,4,4,5,2,5,9,7,4,2,5,4,2,5,7,2,7,3,4,2,5,3,0,5,2,5,4,5,0,5,2,4,3,4,4,0,5,2,1,6,4,4,2,5,3,0,3,2,2,5,2,2,2,0,1,4,4,3,1,3,3,3,1,2,2,3,2,2,4,3,4,2,1,1,0,3,2,3,1,7,1,2,3,1,3,3,0,6,2,1,0,0,3,3,3,0,0,1,1,4,0,1,2,1,0,0,1,2,3,0,3,0,0,1,0,4,2,1,5,0,3,2,2,0,1,2,1,1,0,1,0,0,0,3,1,1,1,0,0,1,1,3,0,2,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0],"single_wildmice_C1226.64":[23,13,12,13,13,10,10,9,8,10,10,13,9,8,10,10,15,7,4,5,7,7,7,6,9,7,6,3,10,8,0,7,6,5,5,5,4,7,6,6,3,5,3,8,7,6,5,4,5,7,5,9,4,4,5,6,6,5,4,6,6,4,5,2,6,2,8,4,4,5,5,3,5,6,3,4,6,0,4,3,3,2,10,4,6,9,3,0,3,3,6,0,2,0,7,2,3,6,7,3,1,5,1,1,5,4,4,1,3,4,3,2,1,5,5,0,0,4,4,7,3,3,3,2,6,5,0,3,6,3,2,9,3,1,1,1,1,4,6,2,1,4,2,0,1,3,3,3,4,0,7,3,3,4,2,4,3,0,2,2,5,0,2,5,2,2,6,1,2,2,5,4,5,3,1,0,0,2,1,2,1,4,1,4,8,4,2,0,1,1,5,3,1,3,1,3,0,0,0,3,4,2,1,2,2,3,1,0,1,1,3,2,1,0,2,0,2,0,2,1,1,1,2,1,0,2,0,2,2,2,3,2,0,1,2,2,0,2,2,1,2,1,2,0,0,1,0,0,7,0,4,1,1,2,1,0,3,2,0,3,1,2,1,1,2,2,0,3,0,3,0,0,2,0,1,1,0,1,3,1,2,0,1,0,0,0,1,1,3,0,1,0,0,1,1,1,2,0,1,1,0,1,2,0,1,1,0,4,3,1,1,0,3,0,2,0,1,1,3,0,0,0,2,6,0,0,1,0,1,0,1,1,3,0,1,1,0,1,2,3,0,0,0,0,2,0,0,0,0,4,0,0,0,0,2,0,1,1,0,0,1,0,1,2,1,0,0,0,0,2,0,0,1,1,0,0,1,0,1,1],"single_wildmice_C1231.76":[286,260,189,174,137,126,126,65,45,55,58,38,25,21,26,10,12,8,12,15,6,6,2,0,1,7,1,2,4,1,0,0],"single_wildmice_C1239.77":[130,129,108,102,92,70,65,61,0,60,54,61,43,50,43,42,34,31,23,40,23,23,25,25,26,29,20,17,21,15,19,32,18,8,12,4,13,11,15,16,6,0,0,4,7,3,0,2,5,0,0,4,1,1,3,2,3,3,0,0,0,0,0,6,0,0,1,0,0],"single_wildmice_C1243.78":[286,229,196,137,138,133,126,65,50,43,57,40,38,25,26,21,8,12,15,6,5,0,0,7,0,1,0,4,1,0,0]},"ref_features_number":2059}
{{ operonsInContigs }}
[{{ num_contigs }}, {{ Largest_alignment }}, {{ Total_aligned_length }}, {{ num_misassemblies }}, {{ Misassembled_contigs_length }}, {{ num_mismatches_per_100_kbp }}, {{ num_indels_per_100_kbp }}, {{ num_N's_per_100_kbp }}, {{ Genome_fraction }}, {{ Duplication_ratio }}, {{ NGA50 }}]
{{ allMisassemblies }}
{{ krona }}
{"filenames":["extra_ERR1806394.25","extra_SRR2174313.4","extra_SRR2174314.14","extra_SRR2174315.7","extra_SRR2174317.1","extra_SRR2174320.38","extra_SRR2174321.10","extra_SRR5580761.114","extra_SRR5580762.42","extra_SRR5580763.92","extra_SRR5925326.20","extra_SRR5927679.39","extra_SRR5927681.71","extra_SRR5927682.28","extra_SRR5927686.74","extra_SRR5927689.35","extra_SRR5927690.6","extra_SRR5927696.30","extra_SRR5927698.79","extra_SRR5927701.10","extra_SRR5927702.80","extra_SRR5927704.2","extra_SRR5927705.1","extra_SRR5927707.30","extra_SRR5927708.48","extra_SRR5927709.41","extra_SRR5927712.38","extra_SRR5927714.26","extra_SRR5927715.35","extra_SRR5927718.58","extra_SRR6032568.47","extra_SRR6032569.13","extra_SRR6032570.31","extra_SRR6032571.9","extra_SRR6032572.43","extra_SRR6032575.4","extra_SRR6032579.13","extra_SRR6032581.14","extra_SRR6032583.10","extra_SRR6032588.12","extra_SRR6032598.1","extra_SRR6945401.17","iMGMC_978","single_China_S_Fe11_120417.17","single_China_S_Fe12_120417.16","single_China_S_Fe13_120417.57","single_China_S_Fe14_120416.68","single_China_S_Fe16_120417.26","single_China_S_Fe20_120416.35","single_wildmice_C1220.78","single_wildmice_C1224.60","single_wildmice_C1226.64","single_wildmice_C1231.76","single_wildmice_C1239.77","single_wildmice_C1243.78"],"reference_index":55,"list_of_GC_distributions":[[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,5,7,5,13,18,27,42,74,95,132,206,291,382,484,640,711,820,902,936,972,915,952,857,713,608,475,411,263,169,165,93,78,52,37,21,10,11,4,3,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,6,12,11,26,40,46,80,91,139,188,243,344,456,587,693,846,920,1053,1120,1161,1168,1183,1051,872,810,717,556,460,284,235,172,107,68,46,37,19,5,12,7,4,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,4,3,10,11,20,32,50,82,104,122,213,293,365,440,551,681,834,909,1077,1130,1218,1165,1154,1068,951,785,676,523,407,320,242,181,107,60,50,34,24,13,6,5,4,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,6,8,8,5,20,25,38,55,77,138,175,206,264,365,435,506,578,662,704,684,705,625,615,514,453,350,284,221,171,105,73,52,36,18,15,9,6,3,3,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,9,17,16,27,35,64,83,122,165,227,307,419,503,637,815,916,1044,1121,1207,1202,1248,1170,1174,963,849,697,600,444,333,235,179,92,77,52,37,23,12,10,3,2,6,3,4,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,2,10,4,14,15,33,44,61,94,139,199,230,389,422,528,620,737,806,834,966,919,892,885,760,693,586,460,360,258,199,165,92,59,35,32,19,8,7,2,5,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,1,4,3,0,5,7,6,6,24,23,32,49,67,90,127,181,238,328,445,501,623,784,913,1065,1149,1181,1248,1215,1146,1065,976,794,732,541,432,323,253,160,116,88,44,23,17,10,9,4,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,1,0,0,0,0,0,0,1,1,2,2,4,4,3,9,16,25,28,46,58,105,121,154,200,302,341,512,586,648,827,954,1008,989,1072,1084,1045,935,836,744,611,516,412,291,199,138,99,71,48,27,18,10,6,9,3,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,2,0,0,1,0,1,1,1,2,2,3,0,5,8,6,9,22,25,39,48,63,91,134,184,242,335,414,556,647,754,961,1032,1148,1202,1259,1206,1182,1100,1004,826,654,586,419,319,235,175,105,71,45,34,30,12,5,8,4,5,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,1,0,1,2,1,3,3,8,5,9,9,14,26,29,50,61,110,114,159,234,332,428,549,602,818,881,1049,1121,1228,1248,1159,1204,1103,990,835,719,612,452,318,268,153,109,77,49,32,24,16,6,4,6,3,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,5,2,9,13,19,15,31,30,57,104,129,127,196,285,379,420,569,678,714,842,794,832,832,816,708,660,554,461,361,283,197,158,98,66,50,22,21,10,10,10,2,2,2,0,2,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,1,0,0,0,1,1,0,0,1,1,2,3,9,5,9,16,21,28,38,54,84,100,127,181,308,374,473,513,652,827,855,990,1024,1038,986,1047,865,826,673,552,447,367,269,220,138,82,57,49,15,15,10,8,6,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,2,3,7,11,15,18,30,30,39,52,71,112,172,209,264,302,435,453,550,574,668,649,692,697,581,562,495,402,318,279,201,168,115,93,46,41,23,7,4,4,0,2,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,1,0,1,0,0,10,2,9,10,16,23,30,45,44,71,97,127,209,248,322,398,520,654,753,860,928,1046,1079,1032,1025,936,868,747,618,471,382,277,188,148,107,64,38,26,18,8,9,3,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,1,0,0,0,0,1,0,1,0,3,1,5,3,11,14,18,26,29,43,63,81,123,151,211,332,414,521,624,779,904,978,1071,1171,1219,1174,1138,1118,919,778,639,516,430,294,230,143,105,56,44,28,17,21,4,2,4,5,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,1,0,0,0,0,0,0,1,1,2,5,9,8,10,16,24,26,49,46,70,130,144,209,300,372,455,574,681,796,897,944,1082,1099,1092,925,924,835,647,576,493,326,235,187,153,83,51,40,22,19,4,7,6,4,2,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,1,0,0,0,3,1,9,3,8,7,14,11,24,28,50,58,81,131,157,226,289,361,467,627,676,768,816,967,975,913,968,869,709,591,514,424,315,249,193,119,74,55,29,22,12,8,4,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,1,0,1,1,0,2,0,1,3,6,8,16,14,23,33,44,51,88,109,170,235,306,384,529,590,783,846,994,1080,1166,1245,1235,1185,1028,960,784,673,557,447,322,214,148,114,87,37,37,17,13,6,3,5,4,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,1,1,0,1,1,1,0,5,5,5,8,11,9,29,35,42,62,86,113,159,243,338,372,513,637,768,816,993,1125,1187,1216,1224,1191,1081,959,819,673,539,382,325,199,164,109,85,44,30,15,13,8,0,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,1,0,0,1,0,2,3,1,2,6,6,14,17,18,25,31,58,58,113,170,182,242,303,368,415,488,564,635,640,702,615,600,504,440,402,329,277,216,149,122,72,47,34,15,8,5,3,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,1,0,0,3,0,3,4,5,9,9,13,18,22,47,65,71,96,131,212,282,355,448,559,684,789,918,1005,1064,1118,1087,1051,956,836,721,616,510,373,268,194,130,87,62,40,28,14,6,10,1,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,2,5,15,18,26,27,38,55,92,119,150,197,279,329,389,454,534,606,646,684,665,601,582,510,455,397,271,243,190,124,93,74,45,35,13,15,4,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,3,4,6,8,7,20,20,25,42,37,76,113,144,189,261,278,388,453,477,546,600,581,604,593,539,461,388,341,296,183,144,101,84,50,29,20,15,6,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,1,0,0,3,4,3,10,11,14,16,23,35,46,68,90,121,184,282,333,407,481,624,715,834,902,953,986,896,940,828,728,622,518,433,300,222,155,106,80,52,26,17,7,8,5,3,3,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,1,0,1,1,3,3,2,7,8,6,12,18,29,36,55,74,94,118,176,219,280,365,432,535,607,682,786,829,762,728,700,611,548,425,349,270,188,144,101,74,57,34,18,12,7,2,3,2,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,1,0,0,0,2,1,4,0,9,9,14,17,23,33,47,80,100,140,189,264,386,437,541,635,757,883,975,1056,1066,1047,954,933,820,706,582,489,349,243,194,122,85,62,33,18,10,1,9,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,1,5,5,2,5,9,7,24,16,22,40,60,58,79,110,158,236,241,316,389,494,506,624,639,699,650,623,617,544,502,415,344,258,190,142,81,65,63,32,22,25,8,4,1,2,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,1,0,1,2,0,4,5,8,8,13,8,23,31,52,49,75,101,139,229,341,381,469,568,719,855,1079,1019,1154,1202,1180,1144,1051,967,798,707,496,429,283,210,157,108,71,39,29,21,13,2,0,3,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,1,0,0,0,0,1,0,2,0,3,1,3,9,7,11,18,23,27,57,62,88,132,165,237,317,395,508,664,741,921,1011,1222,1201,1259,1255,1153,1092,990,808,711,556,437,306,231,167,119,71,44,38,12,5,13,2,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,1,0,1,0,2,0,3,4,3,5,14,15,13,28,36,40,64,95,110,171,218,264,354,431,493,626,656,764,745,751,705,701,575,513,441,415,274,222,146,107,64,60,32,25,12,8,3,3,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,4,7,4,6,12,28,24,52,60,96,126,192,250,333,465,570,719,842,948,1101,1144,1169,1214,1039,1104,970,769,683,526,395,321,220,149,87,56,48,29,11,12,3,3,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0,2,4,8,17,29,36,46,53,80,138,175,239,319,423,503,604,725,772,890,905,851,870,842,702,598,503,430,306,256,160,116,70,59,39,19,11,5,2,3,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,5,17,12,18,20,28,62,94,120,177,251,339,455,507,692,837,980,1108,1159,1196,1203,1103,1063,912,792,633,527,421,280,210,157,113,62,42,28,19,6,4,4,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,3,6,12,16,15,36,69,91,144,170,264,315,415,572,667,882,901,1032,1157,1161,1181,1116,1026,904,720,676,480,377,314,222,154,105,75,43,25,23,6,5,5,3,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,4,2,4,4,9,10,18,31,43,83,111,147,212,316,408,448,653,681,780,855,886,928,863,768,721,595,515,414,319,234,153,105,75,51,24,16,12,3,4,2,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,3,2,5,9,12,22,32,44,53,82,126,164,238,370,467,560,718,861,967,1136,1195,1192,1091,1105,1074,945,798,681,521,401,321,194,146,106,71,33,29,22,13,2,4,3,2,1,2,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,5,0,7,10,19,25,37,37,79,115,165,240,333,433,511,662,812,1008,1024,1171,1250,1301,1180,1189,1091,951,841,657,584,424,300,218,161,91,65,39,28,20,7,5,2,4,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,2,0,1,1,2,1,0,2,10,10,13,15,25,20,56,72,80,117,151,262,341,409,499,687,842,933,1114,1158,1284,1295,1278,1273,1120,956,888,696,565,423,331,246,174,118,79,41,32,22,10,8,1,2,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,3,1,5,11,23,23,50,56,83,131,198,268,368,461,608,752,828,933,1050,1035,1064,1004,917,804,718,613,474,392,280,190,120,77,67,48,32,14,3,2,2,1,2,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,2,1,0,0,1,0,1,2,2,2,3,9,14,22,24,46,42,63,124,148,226,327,434,530,661,769,942,1038,1212,1261,1386,1377,1316,1225,1226,1022,916,773,562,424,337,239,173,118,73,46,37,19,17,9,2,4,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,5,2,7,5,12,15,19,28,55,72,104,190,248,315,427,529,620,797,986,1037,1077,1155,1195,1094,1075,900,716,632,547,406,296,206,163,87,63,51,28,13,11,9,5,1,3,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,9,11,22,24,63,66,124,146,201,285,373,456,578,643,715,816,796,791,729,653,616,529,377,328,253,212,135,77,45,39,19,15,10,7,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,1,0,0,4,0,3,5,8,7,15,21,20,45,53,66,92,135,179,234,337,418,591,656,786,941,1007,1025,1096,1041,1047,945,815,672,571,477,341,262,169,115,78,51,34,21,14,8,6,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,3,5,4,12,17,28,33,42,73,92,134,183,246,289,351,418,479,509,581,596,643,544,573,478,414,396,284,238,166,123,85,70,32,32,20,7,7,4,3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,1,0,0,4,1,5,4,8,16,17,29,42,52,83,104,156,201,268,351,437,488,639,751,859,877,976,993,1039,992,843,756,694,586,465,398,265,202,129,85,63,36,35,23,13,4,5,4,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,4,8,10,21,19,40,38,65,97,116,186,244,298,395,511,574,641,707,754,769,823,766,725,644,580,504,377,310,215,186,97,82,48,46,20,19,6,5,3,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,1,0,3,0,1,4,2,7,8,16,17,31,28,42,65,95,148,185,276,313,341,503,605,730,769,838,898,856,823,870,738,599,545,404,350,230,208,129,90,59,40,28,14,10,9,3,2,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,1,0,0,4,1,2,4,7,9,19,23,37,49,58,98,115,176,251,316,408,513,652,836,934,1032,1141,1232,1226,1251,1220,1084,969,919,680,617,444,323,256,146,114,63,48,36,24,9,12,2,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,2,1,1,2,4,5,2,20,14,22,33,44,59,111,142,184,249,349,434,550,679,860,975,1081,1150,1180,1338,1260,1286,1056,1023,877,714,585,447,338,253,168,134,76,51,29,29,15,2,6,4,3,1,3,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,1,2,4,2,3,5,9,13,11,19,39,46,54,72,135,156,216,305,382,472,604,693,881,961,1093,1196,1162,1170,1202,1017,939,767,660,509,443,310,203,167,106,71,34,23,14,7,4,4,3,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,1,1,3,7,6,5,9,14,11,30,33,56,66,99,133,187,265,343,428,533,697,775,907,1012,1096,1154,1135,1085,995,856,731,619,511,378,273,203,143,118,56,34,28,13,8,4,1,3,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,1,0,0,1,4,3,4,6,4,16,20,40,43,73,93,115,162,194,257,357,472,555,716,721,932,922,1087,1088,1093,937,928,797,678,576,466,371,255,202,120,89,59,33,29,16,9,5,5,3,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,2,0,6,2,4,4,12,16,20,13,32,42,62,82,108,170,249,315,359,532,633,759,902,1044,1150,1238,1325,1188,1090,1066,970,865,716,567,422,325,217,178,121,75,47,31,17,11,6,3,0,5,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,1,0,0,0,1,1,4,1,4,7,9,11,13,18,22,40,46,87,128,133,216,301,352,455,574,674,781,936,1079,1132,1256,1276,1203,1183,1004,943,850,660,542,448,320,230,136,102,57,47,28,10,7,3,4,3,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,1,0,2,0,3,1,6,3,8,18,19,19,35,46,68,93,125,167,233,305,375,496,619,736,857,1023,1087,1167,1239,1155,1108,1035,970,767,674,510,403,321,218,162,99,68,51,26,14,12,7,4,2,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,3,3,0,4,8,5,6,5,21,14,42,49,74,121,135,173,258,332,458,560,698,843,938,1080,1170,1297,1307,1309,1224,1113,999,909,683,568,459,334,231,207,125,72,54,32,25,12,13,6,7,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]],"list_of_GC_contigs_distributions":[[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,32,349,10,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,62,250,3,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,2,62,262,7,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,55,290,16,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,1,49,166,3,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,1,66,316,14,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,1,22,65,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,1,5,23,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,9,29,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,2,32,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,107,249,5,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,81,256,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,43,205,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,8,53,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,14,83,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,1,57,97,1,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,48,180,2,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,1,23,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,5,27,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,45,221,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,19,97,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,81,252,10,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,2,61,177,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,14,50,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,7,83,1,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,13,101,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,9,57,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,8,74,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,15,94,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,25,179,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,57,202,2,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,79,289,5,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,60,211,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,55,213,2,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,67,297,6,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,53,237,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,7,66,206,3,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,18,67,1,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,59,295,4,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,4,62,119,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,1,48,241,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,24,324,12,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,34,131,3,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,1,81,233,11,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,3,18,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,2,84,275,8,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,1,77,298,9,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,30,122,1,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,2,21,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,19,83,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,52,199,2,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,5,104,269,2,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,3,29,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,3,15,51,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100],[0,0,0,0,0,0,7,24,0,0,0,0,0,0,0,0,0,0,0,0,0]]],"lists_of_gc_info":null}
{"links":["icarus_viewers/alignment_viewer.html"],"links_names":["View in Icarus contig browser"]}
{ "# contigs" : "is the total number of contigs in the assembly.", "Largest contig" : "is the length of the longest contig in the assembly.", "Total length" : "is the total number of bases in the assembly.", "Reference length" : "is the total number of bases in the reference.", "# contigs (>= 0 bp)" : "is the total number of contigs in the assembly that have size greater than or equal to 0 bp.", "Total length (>= 0 bp)" : "is the total number of bases in the contigs having size greater than or equal to 0 bp.", "N50" : "is the contig length such that using longer or equal length contigs produces half (50%) of the bases of the assembly. Usually there is no value that produces exactly 50%, so the technical definition is the maximum length x such that using contigs of length at least x accounts for at least 50% of the total assembly length.", "NG50" : "is the contig length such that using longer or equal length contigs produces half (50%) of the bases of the reference genome. This metric is computed only if a reference genome is provided.", "N75" : "is the contig length such that using longer or equal length contigs produces 75% of the bases of the assembly. Usually there is no value that produces exactly 75%, so the technical definition is the maximum length x such that using contigs of length at least x accounts for at least 75% of the total assembly length.", "NG75" : "is the contig length such that using longer or equal length contigs produces 75% of the bases of the reference genome. This metric is computed only if a reference genome is provided.", "L50" : "is the minimum number of contigs that produce half (50%) of the bases of the assembly. In other words, it's the number of contigs of length at least N50.", "LG50" : "is the minimum number of contigs that produce half (50%) of the bases of the reference genome. In other words, it's the number of contigs of length at least NG50. This metric is computed only if a reference genome is provided.", "L75" : "is the minimum number of contigs that produce 75% of the bases of the assembly. In other words, it's the number of contigs of length at least N75.", "LG75" : "is the minimum number of contigs that produce 75% of the bases of the reference genome. In other words, it's the number of contigs of length at least NG75. This metric is computed only if a reference genome is provided.", "NA50" : "is N50 where the lengths of aligned blocks are counted instead of contig lengths. I.e., if a contig has a misassembly with respect to the reference, the contig is broken into smaller pieces. This metric is computed only if a reference genome is provided.", "NGA50" : "is NG50 where the lengths of aligned blocks are counted instead of contig lengths. I.e., if a contig has a misassembly with respect to the reference, the contig is broken into smaller pieces. This metric is computed only if a reference genome is provided.", "NA75" : "is N75 where the lengths of aligned blocks are counted instead of contig lengths. I.e., if a contig has a misassembly with respect to the reference, the contig is broken into smaller pieces. This metric is computed only if a reference genome is provided.", "NGA75" : "is NG75 where the lengths of aligned blocks are counted instead of contig lengths. I.e., if a contig has a misassembly with respect to the reference, the contig is broken into smaller pieces. This metric is computed only if a reference genome is provided.", "LA50" : "is L50 where aligned blocks are counted instead of contigs. I.e., if a contig has a misassembly with respect to the reference, the contig is broken into smaller pieces.", "LGA50" : "is LG50 where aligned blocks are counted instead of contigs. I.e., if a contig has a misassembly with respect to the reference, the contig is broken into smaller pieces.", "LA75" : "is L75 where aligned blocks are counted instead of contigs. I.e., if a contig has a misassembly with respect to the reference, the contig is broken into smaller pieces.", "LGA75" : "is LG75 where aligned blocks are counted instead of contigs. I.e., if a contig has a misassembly with respect to the reference, the contig is broken into smaller pieces.", "Average %IDY" : "is the average of alignment identity percent (Nucmer measure of alignment accuracy) among all contigs.", "# misassemblies" : "is the number of positions in the assembled contigs where the left flanking sequence aligns over 1 kbp away from the right flanking sequence on the reference (relocation) or they overlap on more than 1 kbp (relocation) or flanking sequences align on different strands (inversion) or different chromosomes (translocation).", "# large block misassemblies" : "is the number of misassemblies between alignments with length greater than or equal to 3 kbp and with the misassembly threshold equal to 5 kbp (instead of default 1 kbp for regular misassemblies).", "# misassembled contigs" : "is the number of contigs that contain misassembly events.", "Misassembled contigs length" : "is the number of total bases contained in all contigs that have one or more misassemblies.", "# relocations" : "is the number of relocation events among all misassembly events. Relocation is a misassembly where the left flanking sequence aligns over 1 kbp away from the right flanking sequence on the reference, or they overlap by more than 1 kbp and both flanking sequences align on the same chromosome.", "# translocations" : "is the number of translocation events among all misassembly events. Translocation is a misassembly where the flanking sequences align on different chromosomes.", "# interspecies translocations" : "is the number of interspecies translocation events among all misassembly events. Interspecies translocation is a misassembly where the flanking sequences align on different references (based on alignments to the combined reference).", "# inversions" : "is the number of inversion events among all misassembly events. Inversion is a misassembly where it is not a relocation and the flanking sequences align on opposite strands of the same chromosome.", "# large relocations" : "is the number of relocation events among all large block misassemblies. Relocation is a misassembly where the left flanking sequence aligns over 5 kbp away from the right flanking sequence on the reference, or they overlap by more than 5 kbp and both flanking sequences align on the same chromosome.", "# large translocations" : "is the number of translocation events among all large block misassemblies. Translocation is a misassembly where the flanking sequences align on different chromosomes.", "# large i/s translocations" : "is the number of interspecies translocation events among all large block misassemblies. Interspecies translocation is a misassembly where the flanking sequences align on different references (based on alignments to the combined reference).", "# large inversions" : "is the number of inversion events among all large block misassemblies. Inversion is a misassembly where it is not a relocation and the flanking sequences align on opposite strands of the same chromosome.", "# local misassemblies" : "is the number of local misassemblies. We define a local misassembly breakpoint as a breakpoint that satisfies these conditions:
  1. Two or more distinct alignments cover the breakpoint.
  2. The gap between left and right flanking sequences is less than the misassembly threshold (1 kbp by default).
  3. The left and right flanking sequences both are on the same strand of the same chromosome of the reference genome.
", "# scaffold gap ext. mis." : "is the number of scaffold gap size extensive misassemblies. We define a scaffold gap size misassembly as a breakpoint where the flanking sequences are combined in a scaffold on the wrong distance. These misassemblies are not included in the total number of misassemblies. ", "# scaffold gap loc. mis." : "is the number of scaffold gap size local misassemblies. Such breakpoints satisfy the local misassembly conditions but they occur inside scaffolds. These misassemblies are not included in the total number of local misassemblies. ", "# possibly misassembled contigs": "is the number of contigs that contain large unaligned fragment (default min length is 500 bp) and thus could possibly contain interspecies translocation with unknown reference.", "# possible misassemblies" : "is the number of putative interspecies translocations in possibly misassembled contigs if each large unaligned fragment is supposed to be a fragment of unknown reference.", "# intergenomic misassemblies" : "is the number of all found and putative (possible) interspecies translocations.", "# structural variations" : "is the number of misassemblies matched with structural variations.", "# possible TEs" : "is the number of misassemblies possibly caused by transposable elements (TEs). We define a possible TE as an event that satisfies these conditions:
  1. There are two misassembly breakpoints of the same type around a short alignment (less than 7 kbp by default)
  2. The gap between two long flanking sequences on the sides of the short alignment is less than 7 kbp.
  3. The long flanking sequences both are on the same strand of the same chromosome of the reference genome.
", "# unaligned mis. contigs" : "is the number of contigs that have the number of unaligned bases more than 50% of contig length and a misassembly event in their aligned fragment. Note that such misassemblies are not counted in # misassemblies and other misassemblies statistics.", "# fully unaligned contigs" : "is the number of contigs that have no alignment to the reference sequence.", "Fully unaligned length" : "is the total number of bases contained in all fully unaligned contigs. Uncalled bases (N's) are not counted.", "# partially unaligned contigs" : "is the number of contigs that have at least one alignment to the reference sequence but also have at least one unaligned fragment of length ≥ unaligned-part-size threshold.", "Partially unaligned length" : "is the total number of unaligned bases in all partially unaligned contigs. Uncalled bases (N's) are not counted.", "# ambiguous contigs" : "is the number of contigs that have reference alignments of equal quality in multiple locations on the reference.", "Ambiguous contigs length" : "is the total number of bases contained in all ambiguous contigs.", "Genome fraction (%)" : "is the total number of aligned bases in the reference, divided by the genome size. A base in the reference genome is counted as aligned if there is at least one contig with at least one alignment to this base. Contigs from repeat regions may map to multiple places, and thus may be counted multiple times in this quantity.", "GC (%)" : "is the total number of G and C nucleotides in the assembly, divided by the total length of the assembly.", "Reference GC (%)" : "is the total number of G and C nucleotides in the reference, divided by the total length of the reference.", "# mismatches per 100 kbp" : "is the average number of mismatches per 100000 aligned bases.", "# mismatches" : "is the number of mismatches in all aligned bases.", "# indels per 100 kbp" : "is the average number of indels per 100000 aligned bases.", "# indels" : "is the number of indels in all aligned bases", "# indels (<= 5 bp)" : "is the number of indels of length less than or equal to 5 bp", "# indels (> 5 bp)" : "is the number of indels of length greater than 5 bp", "Indels length" : "is the number of total bases contained in all indels", "# genomic features" : "is the number of genomic features (genes, transcripts, CDS) in the assembly (complete and partial), based on a user-provided annotated list of gene positions in the reference genome. A feature counts as 'partially covered' if the assembly contains at least 100 bp of this feature but not the whole feature.", "# operons" : "is the number of operons in the assembly (complete and partial), based on a user-provided annotated list of operon positions in the reference genome. An operon counts as 'partially covered' if the assembly contains at least 100 bp of this operon but not the whole operon.", "# predicted genes (unique)" : "is the number of unique genes in the assembly found by a gene prediction tool.", "# predicted genes (>= 0 bp)" : "is the number of found genes having length greater than or equal to 0 bp.", "Complete BUSCO (%)" : "is the percent of BUSCO (Universal Single-Copy Ortholog) genes found in the assembly in a complete form.", "Partial BUSCO (%)" : "is the percent of BUSCO (Universal Single-Copy Ortholog) genes found in the assembly in a partial form.", "Cumulative length" : "plot shows the growth of assembly contig lengths. On the x-axis, contigs are ordered from largest (contig #1) to smallest. The y-axis gives the size of the x largest contigs in the assembly.", "Nx" : "plot shows the Nx metric value as x varies from 0 to 100. Nx is the minimum contig length y such that using contigs of length at least y accounts for at least x% of the total assembly length.", "NGx" : "plot shows the NGx metric value as x varies from 0 to 100. NGx is the minimum contig length y such that using contigs of length at least y accounts for at least x% of the bases of the reference genome. This metric is computed only if a reference genome is provided.", "NAx" : "plot shows the NAx metric value as x varies from 0 to 100. NAx is computed similarly to Nx, but based on lengths of aligned blocks instead of contig lengths. Contigs are broken into aligned blocks at misassembly breakpoints. NAx is the minimum block length y such that using blocks of length at least y accounts for at least x% of the bases of the assembly. This metric is computed only if a reference genome is provided.", "NGAx" : "plot shows the NGAx metric value as x varies from 0 to 100.NGAx is computed similarly to NGx, but based on lengths of aligned blocks instead of contig lengths. Contigs are broken at misassembly breakpoints. NGAx is the minimum block length y such that using blocks of length at least y accounts for at least x% of the bases of the reference genome. This metric is computed only if a reference genome is provided.", "GC content" : "plot shows the distribution of GC percentage among the contigs, i.e., the total number of bases in contigs with such GC content. Typically, the distribution is approximately Gaussian. However, for some genomes it is not Gaussian. For assembly projects with contaminants, the GC distribution of the contaminants often differs from the reference genome and may give a superposition of multiple curves with different peaks.", "Duplication ratio" : "is the total number of aligned bases in the assembly (i.e. Total length - Fully unaligned length - Partially unaligned length), divided by the total number of aligned bases in the reference (see the Genome fraction (%) metric). If the assembly contains many contigs that cover the same regions of the reference, its Duplication ratio may be much larger than 1. This may occur due to overestimating repeat multiplicities and due to small overlaps between contigs, among other reasons.", "Largest alignment" : "is the length of the largest continuous alignment in the assembly. This metric is always equal to the Largest contig metric but it can be smaller if the largest contig of the assembly contains a misassembly event.", "Total aligned length" : "is the total number of aligned bases in the assembly.", "Avg contig read support" : "is the average coverage of contigs that have large unique alignments to the reference. Read coverage is extracted from contig names (SPAdes/Velvet naming scheme only).", "# N's" : "is the total number of uncalled bases (N's) in the assembly.", "# N's per 100 kbp" : "is the average number of uncalled bases (N's) per 100000 assembly bases.", "# mapped" : "is the number of reads that mapped to the assembly.", "Mapped (%)" : "is the percent of reads that mapped to the assembly.", "# properly paired" : "is the number of reads that mapped within expected range and orientation of each other to the assembly.", "Properly paired (%)" : "is the percent of reads that mapped within expected range and orientation of each other to the assembly.", "# singletons" : "is the number of reads which do not overlap any other reads.", "Singletons (%)" : "is the percent of reads which do not overlap any other reads.", "# misjoint mates" : "is the number of reads with mate mapped to a different contig.", "Misjoint mates (%)" : "is the percent of reads with mate mapped to a different contig.", "Avg. coverage depth" : "is the average depth of coverage.", "Coverage >= 1x (%)" : "is the total number of bases with at least 1x coverage, divided by the total length of the assembly.", "# similar correct contigs" : "is the number of correct contigs similar among > 50% assemblies (see Icarus for visualization).", "# similar misassembled blocks" : "is the number of misassembled blocks similar among > 50% assemblies (see Icarus for visualization)." }