k1 = 1
k2 = 111793/500
k3 = 122532893453807/5000000000000
k4 = 244814693084921/10000000000000
k5 = 31018054766891/10000000000000
k6 = 522250139330463/1000000000000000
k7 = 65756600338037/50000000000
k8 = 11686533657633/50000000000000
k9 = 125627831778287/5000000000000000
k10 = 194769158492563/500000000000
k11 = 1
k12 = 9002187652053/62500000000000
k13 = 304372961307751/10000000000000000
k14 = 398630224594983/100000000000000
k15 = 230625951366733/250000000000000
k16 = 12504722108289/12500000000000
k17 = 136053256817049/50000000000000
k18 = 28410342378491/100000000000000
k19 = 6540514607757/50000000000000
k20 = 80645237284561/50000000000000
k21 = 435249427068347/50000000000000
k22 = 81960761465481/5000000000000000
k23 = 44857919268227/10000000000000
k24 = 216282986207003/250000000000000000
k25 = 32626727571413/12500000000000
k26 = 704492217625347/10000000000000000
k27 = 191333551016171/1000000000000000
k28 = 103940411358367/100000000000000000
k29 = 20036993615113/50000000000000
k30 = 5763560844873/5000000000000
k31 = 194876705672853/20000000000000
k32 = 2000000
k33 = 87695023971519/1250000000000000
k34 = 4019336667671/2500000000000
k35 = 36661530982123/625000000000000
k36 = 1250492172809/1250000000000000
k37 = 514084012175461/1000000000000000000
k38 = 480202699360057/100000000000000000
k39 = 20480365946897/20000000000000000
k40 = 498548548076033/100000000000000
k41 = 495559496701657/100000000000000
k42 = 441227519053011/500000000000000
k43 = 481424700307387/100000000000000
k44 = 360091117317657/500000000000000
k45 = 523181439900629/100000000000000000
k46 = 495079032741951/5000000000000000
k47 = 18094811/50000000000
k48 = 695852015347187/100000000000000000
k49 = 348166759553642000/1034106520233758487
k50 = 2
k51 = 1