k[1] = 1
k[2] = 1
k[3] = 340
k[4] = 1/50
k[5] = 21/25
k[6] = 1/25
k[7] = 3/400
k[8] = 9/10
k[9] = 7/100
k[10] = 500000000
k[11] = 1612900000000
k[12] = 500000000
k[13] = 125/4
k[14] = 500000000
k[15] = 22727000
k[16] = 500000000
k[17] = 70423000
k[18] = 200
k[19] = 3/100
k[20] = 7/10
k[21] = 12
k[22] = 500000000
k[23] = 5952400000
k[24] = 500000000
k[25] = 38461500
k[26] = 40
k[27] = 1/50
k[28] = 12
k[29] = 500000000
k[30] = 588240000
k[31] = 500000000
k[32] = 1250000000
k[33] = 500000000
k[34] = 746269000
k[35] = 1000
k[36] = 1/20
k[37] = 2
k[38] = 7/10
k[39] = 4
k[40] = 5/2
k[41] = 1/20
k[42] = 2/5
k[43] = 500000000
k[44] = 217400000
k[45] = 500000000
k[46] = 8621000000
k[47] = 40
k[48] = 2/25
k[49] = 2/25
k[50] = 10
k[51] = 1/10
k[52] = 1/50
k[53] = 1/50
k[54] = 40
k[55] = 1/10
k[56] = 1/20
k[57] = 350
k[58] = 7/500
k[59] = 3/10
k[60] = 250
k[61] = 37/50
k[62] = 1/4
k[63] = 63/100
k[64] = 3/40
k[65] = 77/1000
k[66] = 250
k[67] = 37/50
k[68] = 3/40
k[69] = 63/100
k[70] = 1/4
k[71] = 77/1000
k[72] = 250
k[73] = 37/50
k[74] = 77/1000
k[75] = 63/100
k[76] = 1/4
k[77] = 3/40
k[78] = 21/100
k[79] = 29/100
k[80] = 125892541179417/10000000000000000000
k[81] = 1/2