k_{1} = 1
k_{2} = 100
k_{3} = \frac{7131}{200000}
k_{4} = 10
k_{5} = \frac{3}{100}
k_{6} = \frac{1}{10}
k_{7} = \frac{182159}{500000}
k_{8} = \frac{138927}{2500000}
k_{9} = \frac{27861}{250000}
k_{10} = \frac{3}{100}
k_{11} = \frac{3}{100}
k_{12} = \frac{20001}{100000}
k_{13} = \frac{8547}{6250}
k_{14} = \frac{1253}{10000}
k_{15} = \frac{324417}{100000}
k_{16} = \frac{6439}{2000}
k_{17} = \frac{1193}{500}
k_{18} = \frac{71999}{20000}
k_{19} = \frac{1}{10}
k_{20} = \frac{1253}{10000}
k_{21} = \frac{1}{10}
k_{22} = 10
k_{23} = \frac{539319}{10000000}
k_{24} = \frac{30403}{10000}
k_{25} = \frac{292243}{100000}
k_{26} = \frac{1787}{100000}
k_{27} = \frac{1}{10}
k_{28} = \frac{2911}{200000}
k_{29} = \frac{1739}{4000}
k_{30} = \frac{9901}{10000}
k_{31} = \frac{677}{10000}
k_{32} = \frac{16373}{100000}
k_{33} = \frac{553}{5000}
k_{34} = \frac{1}{10}
k_{35} = \frac{1}{10}
k_{36} = \frac{1}{10}
k_{37} = \frac{1}{10}
k_{38} = \frac{1}{10}
k_{39} = \frac{1}{10}
k_{40} = \frac{1}{10}
k_{41} = \frac{2787}{4000}
k_{42} = \frac{1}{10}
k_{43} = \frac{1}{10}
k_{44} = \frac{1201}{20000}
k_{45} = \frac{1}{10}
k_{46} = \frac{1}{10}
k_{47} = \frac{60997}{20000}
k_{48} = \frac{1}{20}
k_{49} = \frac{1}{10}
k_{50} = \frac{1693}{20000}
k_{51} = \frac{1}{10}
k_{52} = 0
k_{53} = \frac{1}{10000}