k[1] = 3/5000
k[2] = 137
k[3] = 7/100
k[4] = 9/5000
k[5] = 3/1000
k[6] = 7/2000
k[7] = 1/25
k[8] = 227/2000
k[9] = 3/5000
k[10] = 11/2
k[11] = 23/10000
k[12] = 42/5
k[13] = 7/100
k[14] = 1/10000000000000000000000
k[15] = 2583/5000
k[16] = 2987/5000
k[17] = 387/10000
k[18] = 1/2
k[19] = 263/25000000
k[20] = 4857/5000
k[21] = 1703/1000000
k[22] = 1/10000000000000000000000
k[23] = 1383/500
k[24] = 3323/1000
k[25] = 537/2500
k[26] = 1/10000000000000000000000
k[27] = 1/10000000000000000000000
k[28] = 1/10000000000000000000000
k[29] = 579/25000
k[30] = 8821/10000
k[31] = 8491/1000
k[32] = 8791/10000
k[33] = 1/2
k[34] = 1137/500000000
k[35] = 1111/25000
k[36] = 361/20000000
k[37] = 403/2000000
k[38] = 360
k[39] = 8/25
k[40] = 11/10
k[41] = 10
k[42] = 1/25
k[43] = 21/500
k[44] = 1290
k[45] = 5/2
k[46] = 85
k[47] = 7/40
k[48] = 7/1000
k[49] = 3/2000
k[50] = 11
k[51] = 37/10000
k[52] = 13/20
k[53] = 600
k[54] = 10
k[55] = 23667/10000
k[56] = 253/2500
k[57] = 6793/625
k[58] = 716/625
k[59] = 96083/5000
k[60] = 460
k[61] = 7/20
k[62] = 41/10
k[63] = 1/10
k[64] = 117/2000
k[65] = 37/10
k[66] = 113/20
k[67] = 460
k[68] = 120
k[69] = 8
k[70] = 10000000000
k[71] = 1/2
k[72] = 70
k[73] = 2
k[74] = 10000000000
k[75] = 1/4
k[76] = 20
k[77] = 1
k[78] = 10000000000
k[79] = 1/2
k[80] = 30
k[81] = 3/10
k[82] = 10000000000
k[83] = 1/2
k[84] = 100
k[85] = 1/2
k[86] = 537/100
k[87] = 7/500
k[88] = 3/1000
k[89] = 1/200
k[90] = 3/20
k[91] = 3/20
k[92] = 1/40
k[93] = 3/20
k[94] = 3/20
k[95] = 3036/5
k[96] = 0
k[97] = 81/79225
k[98] = 0
k[99] = 1
k[100] = 1/2
k[101] = 1/20
k[102] = 1/100
k[103] = 1/20
k[104] = 1/5
k[105] = 3/20
k[106] = 1/20
k[107] = 1/10
k[108] = 1/10
k[109] = 10
k[110] = 3/1000
k[111] = 7/500
k[112] = 537/100