k[1] = 100 k[2] = 543/10 k[3] = 101/2 k[4] = 500 k[5] = 243/10 k[6] = 543/5 k[7] = 101/2 k[8] = 500 k[9] = 243/10 k[10] = 543/5 k[11] = 3/50 k[12] = 3/50 k[13] = 243/10 k[14] = 543/5 k[15] = 1 k[16] = 1 k[17] = 1 k[18] = 43/500 k[19] = 1/100 k[20] = 15 k[21] = 23/250 k[22] = 23/250 k[23] = 43/500 k[24] = 43/500 k[25] = 1/100 k[26] = 15 k[27] = 23/250 k[28] = 43/500 k[29] = 300 k[30] = 4799999768853/4000000000 k[31] = 4799999768853/4000000000