k[1] = 1
k[2] = 3/20
k[3] = 2/3125
k[4] = 97/100
k[5] = 167/1000
k[6] = 409/100
k[7] = 247/100
k[8] = 17/1000
k[9] = 49/50
k[10] = 1/4
k[11] = 361/5000
k[12] = 23/50
k[13] = 391/1000
k[14] = 14/5
k[15] = 8/25
k[16] = 17/1000
k[17] = 11/50
k[18] = 1/4
k[19] = 453/2500
k[20] = 564150334574039/10000000000000
k[21] = 11/500
k[22] = 11/100
k[23] = 10
k[24] = 29/1000
k[25] = 18/125
k[26] = 1001/1000
k[27] = 158113883008419/50000000000
k[28] = 97/1000
k[29] = 141/100
k[30] = 393/100
k[31] = 6/25
k[32] = 339/100
k[33] = 37/1000
k[34] = 67/1000
k[35] = 217/5000
k[36] = 31/100
k[37] = 1/10
k[38] = 23/50
k[39] = 189/20
k[40] = 9/125
k[41] = 47/10
k[42] = 11/100
k[43] = 109/100
k[44] = 87/20
k[45] = 27/5000000
k[46] = 202
k[47] = 41/1000000
k[48] = 202
k[49] = 4
k[50] = 10
k[51] = 2
k[52] = 10