k_{1} = \frac{47}{1000}
k_{2} = 1
k_{3} = \frac{185541}{50000}
k_{4} = \frac{70909}{1000000}
k_{5} = \frac{116937}{100000}
k_{6} = \frac{284871}{1000000}
k_{7} = \frac{97009}{2000000}
k_{8} = \frac{76401}{250000}
k_{9} = \frac{195993}{100000}
k_{10} = \frac{32901}{10000}
k_{11} = \frac{434159}{100000}
k_{12} = 3
k_{13} = \frac{89897}{25000}
k_{14} = \frac{561093}{1000000}
k_{15} = \frac{96139}{500000}
k_{16} = \frac{65411}{125000}
k_{17} = \frac{374949}{500000}
k_{18} = \frac{948}{3125}
k_{19} = \frac{43}{100}
k_{20} = \frac{21681}{1000}
k_{21} = \frac{156947}{50000}
k_{22} = \frac{199409}{1000000}
k_{23} = \frac{183577}{10000}
k_{24} = \frac{107357}{10000}
k_{25} = \frac{616607}{10000000}
k_{26} = \frac{101973}{100000}
k_{27} = \frac{54253}{625}
k_{28} = \frac{7}{125}
k_{29} = \frac{561311}{10000}
k_{30} = \frac{60149}{200000}
k_{31} = \frac{50529}{5000}
k_{32} = \frac{7}{10000}
k_{33} = \frac{150029}{5000}
k_{34} = \frac{481603}{10000000}
k_{35} = \frac{45447}{250000}
k_{36} = \frac{643019}{1000000}
k_{37} = \frac{95489}{2000000}
k_{38} = \frac{337651}{50000}
k_{39} = \frac{551}{20}
k_{40} = \frac{7283}{250}
k_{41} = \frac{82639}{200000}
k_{42} = \frac{374119}{500000}
k_{43} = \frac{60393}{2500000}
k_{44} = \frac{138899}{100000}
k_{45} = \frac{55601}{25000}
k_{46} = \frac{388651}{10000000}
k_{47} = \frac{370071}{100000}
k_{48} = \frac{307711}{100000}
k_{49} = \frac{74007}{2500}
k_{50} = \frac{330583}{1000000}
k_{51} = \frac{964227}{10000}
k_{52} = 3
k_{53} = \frac{283299}{500}
k_{54} = \frac{184011}{10000000}
k_{55} = \frac{676829}{10000000}
k_{56} = \frac{941203}{10000}
k_{57} = \frac{144443}{1000000}
k_{58} = \frac{308447}{100000}
k_{59} = \frac{1}{100}
k_{60} = 650
k_{61} = \frac{62033}{500000}
k_{62} = \frac{115467}{50000000}
k_{63} = \frac{63911}{125000}
k_{64} = \frac{734319}{100000}
k_{65} = \frac{542693}{10000}
k_{66} = \frac{288831}{50000}
k_{67} = \frac{52961}{25000}
k_{68} = \frac{628119}{100000}
k_{69} = \frac{738021}{100000}
k_{70} = \frac{91813}{1000000}
k_{71} = \frac{114053}{50000}
k_{72} = \frac{43127}{100000}
k_{73} = \frac{65721}{50000}
k_{74} = \frac{191959}{50000}
k_{75} = \frac{58621}{50000}
k_{76} = \frac{35389}{2500}
k_{77} = \frac{3489}{6250}
k_{78} = \frac{552221}{1000000}
k_{79} = \frac{43347}{250000}
k_{80} = 900000
k_{81} = \frac{354581}{1000000}
k_{82} = \frac{247709}{5000000}
k_{83} = \frac{262819}{1000000}
k_{84} = 1400
k_{85} = \frac{114289}{50000}
k_{86} = \frac{562373}{100000}
k_{87} = \frac{45171}{25000}
k_{88} = \frac{177429}{50000}
k_{89} = \frac{129567}{100000}
k_{90} = 200
k_{91} = \frac{26539}{20000}
k_{92} = \frac{55071}{2500}
k_{93} = \frac{80343}{250000}
k_{94} = \frac{891203}{10000000}
k_{95} = \frac{151723}{5000000}
k_{96} = \frac{373149}{1000000}
k_{97} = \frac{348563}{100000}
k_{98} = \frac{351571}{100000}
k_{99} = \frac{238849}{1000000}
k_{100} = \frac{444903}{100000}
k_{101} = \frac{362571}{1000000}
k_{102} = \frac{127321}{10000000}
k_{103} = \frac{13801}{6250}
k_{104} = \frac{172067}{500000}
k_{105} = \frac{80033}{50000}
k_{106} = \frac{37851}{20000}
k_{107} = \frac{22039}{3125}
k_{108} = \frac{162459}{100000}
k_{109} = \frac{470331}{500000}
k_{110} = \frac{111751}{5000000}
k_{111} = \frac{485243}{5000000}
k_{112} = \frac{47699}{25000}
k_{113} = \frac{412307}{1000000}
k_{114} = \frac{4387}{400000}
k_{115} = \frac{133609394195917}{1562500000000}
k_{116} = 320
k_{117} = \frac{214640644195917}{3125000000000}
k_{118} = 320
k_{119} = \frac{214640644195917}{3125000000000}
k_{120} = 320
k_{121} = \frac{1530000101668969641767}{50000000000000000000}
k_{122} = 160
k_{123} = \frac{315900195245323}{12500000000000}
k_{124} = \frac{233500101668969641767}{50000000000000000000}
k_{125} = 1