k_{1} = 1
k_{2} = \frac{1}{10000}
k_{3} = \frac{1}{10000}
k_{4} = \frac{1}{1000}
k_{5} = \frac{1}{1000}
k_{6} = \frac{3}{1000}
k_{7} = \frac{1}{100}
k_{8} = \frac{1}{10}
k_{9} = \frac{1}{10}
k_{10} = \frac{1}{10}
k_{11} = \frac{1}{10000}
k_{12} = \frac{1}{10000}
k_{13} = \frac{1}{10}
k_{14} = \frac{1}{10}
k_{15} = \frac{1}{10}
k_{16} = \frac{1}{10}
k_{17} = \frac{1}{10}
k_{18} = \frac{1}{50}
k_{19} = \frac{1}{1000}
k_{20} = \frac{1}{10}
k_{21} = \frac{1}{10}
k_{22} = \frac{1}{10}
k_{23} = \frac{1}{10}
k_{24} = \frac{1}{10}
k_{25} = \frac{1}{2}
k_{26} = \frac{1}{2000}
k_{27} = \frac{37}{200}
k_{28} = \frac{1}{80}
k_{29} = \frac{1}{2}
k_{30} = \frac{1}{2000}
k_{31} = \frac{6}{125}
k_{32} = \frac{7}{4000}
k_{33} = \frac{1}{2}
k_{34} = \frac{1}{2000}
k_{35} = \frac{7}{100}
k_{36} = \frac{7}{4000}
k_{37} = \frac{51}{2500}
k_{38} = \frac{3}{400}
k_{39} = \frac{11}{1000}
k_{40} = \frac{9}{400000}
k_{41} = \frac{9}{400000}
k_{42} = \frac{9}{400000}
k_{43} = \frac{9}{100}
k_{44} = \frac{1}{12500}
k_{45} = \frac{1}{2}
k_{46} = \frac{1}{2000}
k_{47} = \frac{1}{2}
k_{48} = \frac{1}{2000}
k_{49} = \frac{1}{2}
k_{50} = \frac{1}{2000}
k_{51} = \frac{77}{50000000}
k_{52} = \frac{33}{2000}
k_{53} = \frac{7}{25000}
k_{54} = \frac{89}{500000000}
k_{55} = \frac{7}{25000}
k_{56} = \frac{127}{1000000000}
k_{57} = \frac{7}{25000}
k_{58} = \frac{9}{400}
k_{59} = \frac{1}{800}
k_{60} = \frac{51}{12500}
k_{61} = \frac{113}{1000000}
k_{62} = \frac{3}{10000}
k_{63} = \frac{1}{5000}
k_{64} = \frac{3}{500}
k_{65} = \frac{7}{4000}
k_{66} = \frac{51}{12500}
k_{67} = \frac{113}{1000000}
k_{68} = \frac{3}{20000}
k_{69} = \frac{1}{10000}
k_{70} = \frac{9}{1000}
k_{71} = \frac{7}{4000}
k_{72} = \frac{51}{12500}
k_{73} = \frac{113}{1000000}
k_{74} = \frac{3}{20000}
k_{75} = \frac{1}{10000}
k_{76} = \frac{1}{2}
k_{77} = \frac{1}{2000}
k_{78} = \frac{69}{5000}
k_{79} = \frac{1}{2}
k_{80} = \frac{1}{2000}
k_{81} = \frac{13}{2500}
k_{82} = \frac{1}{2}
k_{83} = \frac{1}{2000}
k_{84} = \frac{13}{2500}
k_{85} = \frac{407}{100000}
k_{86} = \frac{3}{2000}
k_{87} = \frac{11}{5000}
k_{88} = \frac{1}{1000}
k_{89} = 1
k_{90} = 1
k_{91} = 1
k_{92} = 1
k_{93} = 1
k_{94} = 1
k_{95} = 1
k_{96} = 1
k_{97} = 1
k_{98} = 1
k_{99} = 1
k_{100} = 1
k_{101} = 1
k_{102} = 0
k_{103} = 1
k_{104} = 1
k_{105} = 1
k_{106} = 1
k_{107} = 1
k_{108} = \frac{1}{10}
k_{109} = 1
k_{110} = \frac{1}{10}