k_{1} = \frac{1}{50000}
k_{2} = 12072
k_{3} = \frac{3}{250000}
k_{4} = 90000
k_{5} = 2500
k_{6} = \frac{1}{500000}
k_{7} = \frac{16666667}{500000000}
k_{8} = \frac{3}{10}
k_{9} = \frac{21}{10000}
k_{10} = \frac{21}{100000}
k_{11} = \frac{461}{100000000}
k_{12} = 1
k_{13} = 1
k_{14} = \frac{83}{10000000000000}
k_{15} = \frac{1}{15625000000000}
k_{16} = \frac{33}{2000000000000}
k_{17} = 602000000000000000000000
k_{18} = 0
k_{19} = \frac{2629}{20000}
k_{20} = \frac{11}{2000}
k_{21} = \frac{27}{10}
k_{22} = \frac{7}{5000}
k_{23} = \frac{1}{40000}
k_{24} = \frac{5939}{5000000000}
k_{25} = \frac{7}{200000}
k_{26} = \frac{1}{800000}
k_{27} = \frac{333}{1000000}
k_{28} = \frac{1}{1000000}
k_{29} = \frac{3}{200}
k_{30} = \frac{3}{400000}
k_{31} = \frac{167}{1000}
k_{32} = \frac{2772}{25}
k_{33} = \frac{231}{200000}
k_{34} = 1000
k_{35} = 200
k_{36} = \frac{2}{25}
k_{37} = \frac{1}{200}
k_{38} = \frac{27}{100000}
k_{39} = \frac{1}{500}
k_{40} = \frac{1}{50000}
k_{41} = \frac{1}{1000}
k_{42} = \frac{1}{4}
k_{43} = \frac{1}{1000}
k_{44} = 450
k_{45} = \frac{3}{25}
k_{46} = 180
k_{47} = \frac{481}{100}
k_{48} = 740000000
k_{49} = \frac{13}{2000000000}
k_{50} = 2
k_{51} = \frac{1}{20}
k_{52} = 0
k_{53} = 0
k_{54} = 1000
k_{55} = \frac{29}{5}
k_{56} = \frac{7}{80000}
k_{57} = \frac{7}{2500000}
k_{58} = \frac{13}{5000000}
k_{59} = \frac{31}{20}
k_{60} = 90000
k_{61} = 602000000
k_{62} = \frac{11}{50000}
k_{63} = 3
k_{64} = 100
k_{65} = 260
k_{66} = \frac{1}{1000}
k_{67} = \frac{1}{100}
k_{68} = \frac{87}{100}
k_{69} = \frac{139}{20}
k_{70} = 100
k_{71} = 100
k_{72} = \frac{1}{20000}
k_{73} = \frac{1}{2000000}
k_{74} = \frac{1}{20000}
k_{75} = \frac{1}{2000000}
k_{76} = 5
k_{77} = \frac{3}{5000}
k_{78} = \frac{1}{2500}
k_{79} = 0
k_{80} = 2
k_{81} = 3
k_{82} = \frac{83}{10000000000000}
k_{83} = \frac{1}{15625000000000}
k_{84} = \frac{33}{2000000000000}
k_{85} = \frac{1}{2000000000000}
k_{86} = \frac{1}{10000000000000}
k_{87} = \frac{11}{2000}
k_{88} = \frac{90909090909}{500000000000}
k_{89} = \frac{11}{200}
k_{90} = \frac{1}{4}
k_{91} = \frac{1}{8}
k_{92} = \frac{90909090909}{500000000000}
k_{93} = \frac{11}{200}
k_{94} = \frac{1}{4}
k_{95} = \frac{1}{8}
k_{96} = \frac{90909090909}{50000000000}
k_{97} = \frac{11}{2000}
k_{98} = \frac{1}{4}
k_{99} = \frac{1}{8}
k_{100} = \frac{90909090909}{50000000000}
k_{101} = \frac{11}{2000}
k_{102} = \frac{1}{4}
k_{103} = \frac{1}{8}
k_{104} = \frac{909090909091}{10000000000000}
k_{105} = \frac{11}{20}
k_{106} = \frac{1}{4}
k_{107} = \frac{1}{8}
k_{108} = \frac{909090909091}{10000000000000}
k_{109} = \frac{11}{20}
k_{110} = \frac{1}{4}
k_{111} = \frac{1}{8}
k_{112} = \frac{909090909091}{1000000000000}
k_{113} = \frac{11}{200}
k_{114} = \frac{1}{4}
k_{115} = \frac{1}{8}
k_{116} = \frac{909090909091}{1000000000000}
k_{117} = \frac{11}{200}
k_{118} = \frac{1}{4}
k_{119} = \frac{1}{8}
k_{120} = \frac{90909090909}{5000000000000}
k_{121} = \frac{11}{20}
k_{122} = \frac{1}{8}
k_{123} = \frac{1}{8}
k_{124} = \frac{90909090909}{5000000000000}
k_{125} = \frac{11}{20}
k_{126} = \frac{1}{8}
k_{127} = \frac{1}{8}
k_{128} = \frac{90909090909}{500000000000}
k_{129} = \frac{11}{200}
k_{130} = \frac{1}{8}
k_{131} = \frac{1}{8}
k_{132} = \frac{90909090909}{500000000000}
k_{133} = \frac{11}{200}
k_{134} = \frac{1}{8}
k_{135} = \frac{1}{8}
k_{136} = \frac{909090909091}{100000000000000}
k_{137} = \frac{11}{2}
k_{138} = \frac{1}{8}
k_{139} = \frac{1}{8}
k_{140} = \frac{909090909091}{100000000000000}
k_{141} = \frac{11}{2}
k_{142} = \frac{1}{8}
k_{143} = \frac{1}{8}
k_{144} = \frac{909090909091}{10000000000000}
k_{145} = \frac{11}{20}
k_{146} = \frac{1}{8}
k_{147} = \frac{1}{8}
k_{148} = \frac{909090909091}{10000000000000}
k_{149} = \frac{11}{20}
k_{150} = \frac{1}{8}
k_{151} = \frac{1}{8}
k_{152} = \frac{3}{10000}
k_{153} = \frac{3}{10000}
k_{154} = \frac{3}{10000}
k_{155} = \frac{3}{10000}
k_{156} = \frac{3}{10000}
k_{157} = \frac{3}{10000}
k_{158} = \frac{3}{10000}
k_{159} = \frac{3}{10000}
k_{160} = \frac{3}{10000}
k_{161} = \frac{3}{10000}
k_{162} = \frac{3}{10000}
k_{163} = \frac{3}{10000}
k_{164} = \frac{3}{10000}
k_{165} = \frac{3}{10000}
k_{166} = \frac{3}{10000}
k_{167} = \frac{3}{10000}
k_{168} = \frac{3}{10000}
k_{169} = \frac{3}{10000}
k_{170} = \frac{3}{10000}
k_{171} = \frac{3}{10000}
k_{172} = \frac{3}{10000}
k_{173} = \frac{3}{10000}
k_{174} = \frac{3}{10000}
k_{175} = \frac{3}{10000}
k_{176} = \frac{3}{10000}
k_{177} = \frac{3}{10000}
k_{178} = \frac{3}{10000}
k_{179} = \frac{3}{10000}
k_{180} = \frac{3}{10000}
k_{181} = \frac{3}{10000}
k_{182} = \frac{3}{10000}
k_{183} = \frac{3}{10000}
k_{184} = \frac{3}{10000}
k_{185} = \frac{3}{10000}
k_{186} = \frac{3}{10000}
k_{187} = \frac{3}{10000}
k_{188} = \frac{3}{10000}
k_{189} = \frac{3}{10000}
k_{190} = \frac{3}{10000}
k_{191} = \frac{3}{10000}
k_{192} = \frac{3}{10000}
k_{193} = \frac{3}{10000}
k_{194} = \frac{3}{10000}
k_{195} = \frac{3}{10000}
k_{196} = \frac{3}{10000}
k_{197} = \frac{3}{10000}
k_{198} = \frac{3}{10000}
k_{199} = \frac{3}{10000}
k_{200} = \frac{1}{1000000}
k_{201} = \frac{1}{1000000}
k_{202} = \frac{1}{1000000}
k_{203} = \frac{1}{1000000}
k_{204} = \frac{1}{1000000}
k_{205} = \frac{1}{1000000}
k_{206} = \frac{1}{1000000}
k_{207} = \frac{1}{1000000}
k_{208} = \frac{1}{1000000}
k_{209} = \frac{1}{1000000}
k_{210} = \frac{1}{1000000}
k_{211} = \frac{1}{1000000}
k_{212} = \frac{1}{1000000}
k_{213} = \frac{1}{1000000}
k_{214} = \frac{1}{1000000}
k_{215} = \frac{1}{1000000}
k_{216} = \frac{1}{1000000}
k_{217} = \frac{1}{1000000}
k_{218} = \frac{1}{1000000}
k_{219} = \frac{1}{1000000}
k_{220} = \frac{1}{1000000}
k_{221} = \frac{1}{1000000}
k_{222} = \frac{1}{1000000}
k_{223} = \frac{1}{1000000}
k_{224} = \frac{1}{20000}
k_{225} = \frac{1}{20000}
k_{226} = \frac{1}{20000}
k_{227} = \frac{1}{20000}
k_{228} = \frac{1}{20000}
k_{229} = \frac{1}{20000}
k_{230} = \frac{1}{20000}
k_{231} = \frac{1}{20000}
k_{232} = \frac{1}{20000}
k_{233} = \frac{1}{20000}
k_{234} = \frac{1}{20000}
k_{235} = \frac{1}{20000}
k_{236} = \frac{1}{1000000}
k_{237} = \frac{1}{1000000}
k_{238} = \frac{1}{1000000}
k_{239} = \frac{1}{1000000}
k_{240} = \frac{1}{1000000}
k_{241} = \frac{1}{1000000}
k_{242} = \frac{1}{1000000}
k_{243} = \frac{1}{1000000}
k_{244} = \frac{1}{1000000}
k_{245} = \frac{1}{1000000}
k_{246} = \frac{1}{1000000}
k_{247} = \frac{1}{1000000}
k_{248} = \frac{1}{20000}
k_{249} = \frac{1}{20000}
k_{250} = \frac{1}{20000}
k_{251} = \frac{1}{20000}
k_{252} = \frac{1}{20000}
k_{253} = \frac{1}{20000}
k_{254} = \frac{1}{20000}
k_{255} = \frac{1}{20000}
k_{256} = \frac{1}{20000}
k_{257} = \frac{1}{20000}
k_{258} = \frac{1}{20000}
k_{259} = \frac{1}{20000}
k_{260} = \frac{1}{1000000}
k_{261} = \frac{1}{1000000}
k_{262} = \frac{1}{1000000}
k_{263} = \frac{1}{1000000}
k_{264} = \frac{1}{1000000}
k_{265} = \frac{1}{1000000}
k_{266} = \frac{1}{1000000}
k_{267} = \frac{1}{1000000}
k_{268} = \frac{1}{1000000}
k_{269} = \frac{1}{1000000}
k_{270} = \frac{1}{1000000}
k_{271} = \frac{1}{1000000}
k_{272} = \frac{1}{20000}
k_{273} = \frac{1}{20000}
k_{274} = \frac{1}{20000}
k_{275} = \frac{1}{20000}
k_{276} = \frac{1}{20000}
k_{277} = \frac{1}{20000}
k_{278} = \frac{1}{1000000}
k_{279} = \frac{1}{1000000}
k_{280} = \frac{1}{1000000}
k_{281} = \frac{1}{1000000}
k_{282} = \frac{1}{1000000}
k_{283} = \frac{1}{1000000}
k_{284} = \frac{1}{20000}
k_{285} = \frac{1}{20000}
k_{286} = \frac{1}{20000}
k_{287} = \frac{1}{20000}
k_{288} = \frac{1}{20000}
k_{289} = \frac{1}{20000}
k_{290} = \frac{1}{1000000}
k_{291} = \frac{1}{1000000}
k_{292} = \frac{1}{1000000}
k_{293} = \frac{1}{1000000}
k_{294} = \frac{1}{1000000}
k_{295} = \frac{1}{1000000}
k_{296} = \frac{1}{20000}
k_{297} = \frac{1}{20000}
k_{298} = \frac{1}{20000}
k_{299} = \frac{1}{20000}
k_{300} = \frac{1}{20000}
k_{301} = \frac{1}{20000}
k_{302} = \frac{1}{1000000}
k_{303} = \frac{1}{1000000}
k_{304} = \frac{1}{1000000}
k_{305} = \frac{1}{1000000}
k_{306} = \frac{1}{1000000}
k_{307} = \frac{1}{1000000}
k_{308} = \frac{1}{20000}
k_{309} = \frac{1}{20000}
k_{310} = \frac{1}{20000}
k_{311} = \frac{1}{20000}
k_{312} = \frac{1}{20000}
k_{313} = \frac{1}{20000}
k_{314} = \frac{1}{1000000}
k_{315} = \frac{1}{1000000}
k_{316} = \frac{1}{1000000}
k_{317} = \frac{1}{1000000}
k_{318} = \frac{1}{1000000}
k_{319} = \frac{1}{1000000}
k_{320} = \frac{1}{1000000}
k_{321} = \frac{1}{1000000}
k_{322} = \frac{1}{1000000}
k_{323} = \frac{1}{1000000}
k_{324} = \frac{1}{1000000}
k_{325} = \frac{1}{1000000}
k_{326} = \frac{11}{500000}
k_{327} = \frac{11}{500000}
k_{328} = \frac{11}{500000}
k_{329} = \frac{11}{500000}
k_{330} = \frac{11}{500000}
k_{331} = \frac{11}{500000}
k_{332} = \frac{3}{1000000}
k_{333} = \frac{3}{1000000}
k_{334} = \frac{3}{1000000}
k_{335} = \frac{3}{1000000}
k_{336} = \frac{3}{1000000}
k_{337} = \frac{3}{1000000}
k_{338} = \frac{33}{500000}
k_{339} = \frac{33}{500000}
k_{340} = \frac{33}{500000}
k_{341} = \frac{33}{500000}
k_{342} = \frac{33}{500000}
k_{343} = \frac{33}{500000}
k_{344} = \frac{1}{10000}
k_{345} = \frac{1}{10000}
k_{346} = \frac{1}{10000}
k_{347} = \frac{1}{10000}
k_{348} = \frac{1}{10000}
k_{349} = \frac{1}{10000}
k_{350} = \frac{1}{10000}
k_{351} = \frac{1}{10000}
k_{352} = \frac{6}{25}
k_{353} = \frac{19}{20}
k_{354} = \frac{6}{25}
k_{355} = \frac{19}{20}
k_{356} = \frac{6}{25}
k_{357} = \frac{19}{20}
k_{358} = \frac{6}{25}
k_{359} = \frac{19}{20}
k_{360} = \frac{6}{25}
k_{361} = \frac{19}{20}
k_{362} = \frac{6}{25}
k_{363} = \frac{19}{20}
k_{364} = \frac{6}{25}
k_{365} = \frac{19}{20}
k_{366} = \frac{6}{25}
k_{367} = \frac{19}{20}
k_{368} = \frac{6}{25}
k_{369} = \frac{19}{20}
k_{370} = \frac{6}{25}
k_{371} = \frac{19}{20}
k_{372} = \frac{6}{25}
k_{373} = \frac{19}{20}
k_{374} = \frac{6}{25}
k_{375} = \frac{19}{20}
k_{376} = \frac{6}{25}
k_{377} = \frac{19}{20}
k_{378} = \frac{6}{25}
k_{379} = \frac{19}{20}
k_{380} = \frac{6}{25}
k_{381} = \frac{19}{20}
k_{382} = \frac{6}{25}
k_{383} = \frac{19}{20}
k_{384} = 5
k_{385} = \frac{11}{50}
k_{386} = \frac{2811}{500}
k_{387} = \frac{123}{50}
k_{388} = \frac{11}{2500}
k_{389} = 15
k_{390} = \frac{11}{50}
k_{391} = \frac{2811}{500}
k_{392} = \frac{123}{100}
k_{393} = \frac{19}{10000}
k_{394} = 0
k_{395} = 0
k_{396} = 0
k_{397} = \frac{100000000000000}{33}
k_{398} = 0
k_{399} = 100000
k_{400} = 10000
k_{401} = 201000
k_{402} = 100000
k_{403} = 100000
k_{404} = 20000
k_{406} = 4000
k_{405} = 96000
k_{407} = 100000
k_{408} = 100
k_{409} = 100
k_{410} = 16000
k_{411} = 2000
k_{412} = 100000