k[1] = 1/50 k[2] = 1/50 k[3] = 1/5 k[4] = 1/2 k[5] = 4/5 k[6] = 1/100 k[7] = 4/5 k[8] = 1/125 k[9] = 16/3 k[10] = 100/7 k[11] = 1