k1 = 7/10
k2 = 49/50
k3 = 3/10
k4 = 2/5
k5 = 1
k6 = 9/10
k7 = 2/5
k8 = 1/5
k9 = 3/10
k10 = 29/100
k11 = 1
k12 = 17/200
k13 = 6/5
k14 = 47/50
k15 = 3/10
k16 = 2/5
k17 = 4/5
k18 = 0
k19 = 1
k20 = 499999999999999/1000000000000000