k_{1} = \frac{1}{100}
k_{2} = 0
k_{3} = 0
k_{4} = 0
k_{5} = 0
k_{6} = 0
k_{7} = 0
k_{8} = 0
k_{9} = 0
k_{10} = 0
k_{11} = 1
k_{12} = 1
k_{13} = \frac{123}{2500}
k_{14} = 40
k_{15} = \frac{117}{50}
k_{16} = \frac{8}{5}
k_{17} = \frac{8}{5}
k_{18} = \frac{29}{125}
k_{19} = \frac{63767}{250}
k_{20} = \frac{53}{100}
k_{21} = \frac{351}{100}
k_{22} = \frac{1}{5}
k_{23} = \frac{29}{10}
k_{24} = \frac{1}{5}
k_{25} = \frac{189}{20}
k_{26} = \frac{3333}{100000}
k_{27} = \frac{3333}{100000}
k_{28} = 1
k_{29} = \frac{1}{10}
k_{30} = 1000
k_{31} = \frac{159}{5000}
k_{32} = \frac{351}{100}
k_{33} = \frac{53}{100}
k_{34} = \frac{83}{5}
k_{35} = 1000
k_{36} = \frac{39}{250}
k_{37} = \frac{39}{250}
k_{38} = \frac{4}{25}
k_{39} = \frac{1}{10}
k_{40} = \frac{1}{100}
k_{41} = 1
k_{42} = \frac{1}{100}
k_{43} = 1900
k_{44} = \frac{869}{100}
k_{45} = \frac{1}{100}
k_{46} = \frac{73}{50000}
k_{47} = \frac{1}{10000}
k_{48} = \frac{31}{1000}
k_{49} = \frac{1}{10000}
k_{50} = \frac{1}{10}
k_{51} = \frac{57}{250000}
k_{52} = \frac{57}{2000}
k_{53} = \frac{1}{50000}
k_{54} = \frac{11}{20000}
k_{55} = \frac{1}{80}
k_{56} = 1
k_{57} = \frac{661}{12500}
k_{58} = \frac{39}{250}
k_{59} = \frac{42}{125}
k_{60} = \frac{13889}{500000}
k_{61} = \frac{13889}{500000}
k_{62} = \frac{13889}{500000}
k_{63} = \frac{3333}{100000}
k_{64} = \frac{39}{2500}
k_{65} = \frac{1183}{100000}
k_{66} = \frac{633}{5000}
k_{67} = \frac{13}{200}
k_{68} = \frac{351}{100}
k_{69} = \frac{53}{100}
k_{70} = \frac{29}{125}
k_{71} = \frac{2333}{10000}
k_{72} = \frac{2257}{1250}
k_{73} = \frac{1}{5}
k_{74} = \frac{1}{10}
k_{75} = \frac{1}{5}
k_{76} = \frac{283}{6250}
k_{77} = \frac{1}{5}
k_{78} = \frac{351}{100}
k_{79} = \frac{53}{100}
k_{80} = 40
k_{81} = \frac{117}{50}
k_{82} = \frac{53}{100}
k_{83} = \frac{351}{100}
k_{84} = 1000
k_{85} = \frac{159}{5000}
k_{86} = \frac{351}{100}
k_{87} = \frac{53}{100}
k_{88} = \frac{1}{5}
k_{89} = \frac{39}{250}
k_{90} = \frac{42}{125}
k_{91} = 1
k_{92} = \frac{1}{10}
k_{93} = \frac{123}{2500}
k_{94} = \frac{83}{5}
k_{95} = 1000
k_{96} = \frac{63767}{250}
k_{97} = \frac{8}{5}
k_{98} = \frac{8}{5}
k_{99} = \frac{4}{25}
k_{100} = \frac{29}{125}
k_{101} = \frac{1}{10}
k_{102} = \frac{29}{125}
k_{103} = \frac{1}{10}
k_{104} = \frac{1}{5}
k_{105} = \frac{1}{50000}
k_{106} = \frac{11}{20000}
k_{107} = \frac{1}{20}
k_{108} = 1
k_{109} = \frac{661}{12500}
k_{110} = \frac{1}{10}
k_{111} = \frac{1}{10}
k_{112} = \frac{29}{10}
k_{113} = \frac{1}{5}
k_{114} = \frac{1}{10000}
k_{115} = \frac{11}{5000}
k_{116} = \frac{8}{5}
k_{117} = \frac{8}{5}
k_{118} = 1900
k_{119} = 1
k_{120} = \frac{1}{100}
k_{121} = \frac{1}{2}
k_{122} = \frac{1}{20}
k_{123} = 3
k_{124} = \frac{463}{1000}
k_{125} = \frac{51}{500}
k_{126} = \frac{463}{1000}
k_{127} = \frac{51}{500}
k_{128} = \frac{1}{5}
k_{129} = \frac{1}{5}
k_{130} = \frac{1}{5}
k_{131} = \frac{1}{5}
k_{132} = \frac{1}{5}
k_{133} = \frac{1}{5}
k_{134} = \frac{8}{5}
k_{135} = \frac{8}{5}
k_{136} = \frac{1}{5}
k_{137} = \frac{1}{5}
k_{138} = \frac{1}{10}
k_{139} = \frac{1}{10}
k_{140} = \frac{1}{10}
k_{141} = \frac{1}{10}
k_{142} = 1
k_{143} = 1
k_{144} = 1
k_{145} = 1
k_{146} = \frac{1}{200}
k_{147} = \frac{1}{200}
k_{148} = \frac{1}{50000}
k_{149} = \frac{1}{10}
k_{150} = \frac{1}{10}
k_{151} = \frac{1}{10}
k_{152} = \frac{1}{10}
k_{153} = \frac{1}{10}
k_{154} = \frac{1599999922951}{16000000000000}