k[1] = 1
k[2] = 19957/156250000
k[3] = 1673329/2500000
k[4] = 1/100000
k[5] = 5946569/10000000000
k[6] = 9999999/10000000
k[7] = 8875063/10000000
k[8] = 4022189/5000000000
k[9] = 2249759/1000000000
k[10] = 602629/5000000
k[11] = 2891451/100000000
k[12] = 751457/5000000
k[13] = 7204261/10000000000
k[14] = 28033/78125
k[15] = 1842081/500000
k[16] = 278739/12500000
k[17] = 32091/5000000
k[18] = 1
k[19] = 5083923/1000000