k_{1} = 1
k_{2} = 5000000
k_{3} = \frac{1}{2}
k_{4} = 100000000
k_{5} = \frac{1}{10}
k_{6} = \frac{1}{10}
k_{7} = 100000
k_{8} = 10000000
k_{9} = \frac{1}{10}
k_{10} = \frac{1}{20}
k_{11} = \frac{1}{10}
k_{12} = \frac{1}{100000000}
k_{13} = \frac{1001}{100000000}
k_{14} = \frac{1}{1000000000}
k_{15} = \frac{10001}{1000000000}
k_{16} = \frac{1}{1000000000}
k_{17} = \frac{10001}{1000000000}