k_{1} = 500 k_{2} = 139 k_{3} = \frac{17}{100} k_{4} = \frac{251}{10000} k_{5} = \frac{423}{1000} k_{6} = \frac{21}{40} k_{7} = \frac{1}{100} k_{8} = \frac{23}{20} k_{9} = \frac{81}{20} k_{10} = \frac{837806529940613}{1523109748630000} k_{11} = 1