k[1] = 1/100
k[2] = 0
k[3] = 0
k[4] = 0
k[5] = 0
k[6] = 0
k[7] = 0
k[8] = 0
k[9] = 0
k[10] = 0
k[11] = 1
k[12] = 1
k[13] = 123/2500
k[14] = 40
k[15] = 117/50
k[16] = 8/5
k[17] = 8/5
k[18] = 29/125
k[19] = 63767/250
k[20] = 53/100
k[21] = 351/100
k[22] = 1/5
k[23] = 29/10
k[24] = 1/5
k[25] = 189/20
k[26] = 3333/100000
k[27] = 3333/100000
k[28] = 1
k[29] = 1/10
k[30] = 1000
k[31] = 159/5000
k[32] = 351/100
k[33] = 53/100
k[34] = 83/5
k[35] = 1000
k[36] = 39/250
k[37] = 39/250
k[38] = 4/25
k[39] = 1/10
k[40] = 1/100
k[41] = 1
k[42] = 1/100
k[43] = 1900
k[44] = 869/100
k[45] = 1/100
k[46] = 73/50000
k[47] = 1/10000
k[48] = 31/1000
k[49] = 1/10000
k[50] = 1/10
k[51] = 57/250000
k[52] = 57/2000
k[53] = 1/50000
k[54] = 11/20000
k[55] = 1/80
k[56] = 1
k[57] = 661/12500
k[58] = 39/250
k[59] = 42/125
k[60] = 13889/500000
k[61] = 13889/500000
k[62] = 13889/500000
k[63] = 3333/100000
k[64] = 39/2500
k[65] = 1183/100000
k[66] = 633/5000
k[67] = 13/200
k[68] = 351/100
k[69] = 53/100
k[70] = 29/125
k[71] = 2333/10000
k[72] = 2257/1250
k[73] = 1/5
k[74] = 1/10
k[75] = 1/5
k[76] = 283/6250
k[77] = 1/5
k[78] = 351/100
k[79] = 53/100
k[80] = 40
k[81] = 117/50
k[82] = 53/100
k[83] = 351/100
k[84] = 1000
k[85] = 159/5000
k[86] = 351/100
k[87] = 53/100
k[88] = 1/5
k[89] = 39/250
k[90] = 42/125
k[91] = 1
k[92] = 1/10
k[93] = 123/2500
k[94] = 83/5
k[95] = 1000
k[96] = 63767/250
k[97] = 8/5
k[98] = 8/5
k[99] = 4/25
k[100] = 29/125
k[101] = 1/10
k[102] = 29/125
k[103] = 1/10
k[104] = 1/5
k[105] = 1/50000
k[106] = 11/20000
k[107] = 1/20
k[108] = 1
k[109] = 661/12500
k[110] = 1/10
k[111] = 1/10
k[112] = 29/10
k[113] = 1/5
k[114] = 1/10000
k[115] = 11/5000
k[116] = 8/5
k[117] = 8/5
k[118] = 1900
k[119] = 1
k[120] = 1/100
k[121] = 1/2
k[122] = 1/20
k[123] = 3
k[124] = 463/1000
k[125] = 51/500
k[126] = 463/1000
k[127] = 51/500
k[128] = 1/5
k[129] = 1/5
k[130] = 1/5
k[131] = 1/5
k[132] = 1/5
k[133] = 1/5
k[134] = 8/5
k[135] = 8/5
k[136] = 1/5
k[137] = 1/5
k[138] = 1/10
k[139] = 1/10
k[140] = 1/10
k[141] = 1/10
k[142] = 1
k[143] = 1
k[144] = 1
k[145] = 1
k[146] = 1/200
k[147] = 1/200
k[148] = 1/50000
k[149] = 1/10
k[150] = 1/10
k[151] = 1/10
k[152] = 1/10
k[153] = 1/10
k[154] = 1599999922951/16000000000000