k[1] = 1
k[2] = 111793/500
k[3] = 426207755345663/10000000000000
k[4] = 527208703718069/10000000000000
k[5] = 39658600218403/20000000000000
k[6] = 102524649407211/250000000000000
k[7] = 1168339445699/781250000
k[8] = 390971136785711/1000000000000000
k[9] = 187008145763973/10000000000000000
k[10] = 116216394720523/250000000000
k[11] = 1
k[12] = 9002187652053/62500000000000
k[13] = 304372961307751/10000000000000000
k[14] = 398630224594983/100000000000000
k[15] = 13443785198193/12500000000000
k[16] = 12504722108289/12500000000000
k[17] = 136053256817049/50000000000000
k[18] = 28032864215081/25000000000000
k[19] = 164002847372207/1000000000000000
k[20] = 80645237284561/50000000000000
k[21] = 435249427068347/50000000000000
k[22] = 81960761465481/5000000000000000
k[23] = 44857919268227/10000000000000
k[24] = 216282986207003/250000000000000000
k[25] = 32626727571413/12500000000000
k[26] = 26021012395249/200000000000000
k[27] = 9901935816937/31250000000000
k[28] = 103940411358367/100000000000000000
k[29] = 88056243056179/250000000000000
k[30] = 31179391831721/25000000000000
k[31] = 776909435020809/100000000000000
k[32] = 2000000
k[33] = 87695023971519/1250000000000000
k[34] = 4019336667671/2500000000000
k[35] = 36661530982123/625000000000000
k[36] = 1250492172809/1250000000000000
k[37] = 514084012175461/1000000000000000000
k[38] = 480202699360057/100000000000000000
k[39] = 20480365946897/20000000000000000
k[40] = 498548548076033/100000000000000
k[41] = 495559496701657/100000000000000
k[42] = 441227519053011/500000000000000
k[43] = 481424700307387/100000000000000
k[44] = 360091117317657/500000000000000
k[45] = 523181439900629/100000000000000000
k[46] = 495079032741951/5000000000000000
k[47] = 18094811/50000000000
k[48] = 113977201802829/12500000000000000
k[49] = 273399065085896000/661148031644108487
k[50] = 2
k[51] = 1