k_{1} = \frac{11}{50}
k_{2} = \frac{18}{25}
k_{3} = 160
k_{4} = \frac{81}{125}
k_{5} = 60
k_{6} = \frac{974936173}{50000000}
k_{7} = \frac{748518429}{25000000}
k_{8} = \frac{194987234631759}{10000000000000}
k_{9} = \frac{149703685810349}{5000000000000}
k_{10} = \frac{3}{250}
k_{11} = \frac{9}{500}
k_{12} = \frac{3}{250}
k_{13} = \frac{9}{500}
k_{14} = \frac{11}{1000}
k_{15} = \frac{13}{1000}
k_{16} = \frac{1462054629}{50000000}
k_{17} = \frac{422618437}{2500000}
k_{18} = \frac{794169859}{200000000}
k_{19} = \frac{126129}{1000000000}
k_{20} = \frac{1575153}{200000000}
k_{21} = \frac{1245747}{1000000000}
k_{22} = \frac{176154663}{31250000}
k_{23} = \frac{854512}{25}
k_{24} = \frac{93510841}{31250000}
k_{25} = \frac{234433}{200000000}
k_{26} = \frac{257}{1000000}
k_{27} = \frac{481}{10000000}
k_{28} = \frac{6067441}{250000000}
k_{29} = \frac{70467899}{1000000000}
k_{30} = \frac{6067441}{250000000}
k_{31} = \frac{70467899}{1000000000}
k_{32} = \frac{78839339}{500000000}
k_{33} = \frac{7355986967}{10000}
k_{34} = \frac{5648117}{1000000000}
k_{35} = \frac{1939188591}{5000000}
k_{36} = \frac{257}{1000000}
k_{37} = \frac{481}{10000000}
k_{38} = \frac{275173057}{500000000}
k_{39} = \frac{2951606587}{100000}
k_{40} = \frac{342848369838443}{1000000000000000}
k_{41} = \frac{153520762649433}{500000000000}
k_{42} = \frac{126132967}{12500000}
k_{43} = \frac{913939859}{1000000000}
k_{44} = \frac{5185013}{200000000}
k_{45} = \frac{32450989}{250000000}
k_{46} = \frac{961559077}{50000000}
k_{47} = \frac{176633377}{400000}
k_{48} = \frac{410922469}{62500000}
k_{49} = \frac{749590461}{50000000}
k_{50} = \frac{518529841}{1000000000}
k_{51} = \frac{2131269109}{100000}
k_{52} = \frac{1379479021}{100000000}
k_{53} = \frac{1504396629}{100000000}
k_{54} = \frac{81901781}{125000000}
k_{55} = \frac{929880341}{5000000}
k_{56} = \frac{497000791}{250000000}
k_{57} = \frac{1642217}{500000000}
k_{58} = \frac{300617104652311}{500000000000000000}
k_{59} = \frac{191204070542409}{2500000000000000000}
k_{60} = \frac{2226909253}{250000000}
k_{61} = \frac{1070343023}{125000}
k_{62} = \frac{119463}{200000000}
k_{63} = \frac{528552427}{1000000}
k_{64} = \frac{1745848179}{1000000000}
k_{65} = \frac{17594809}{250000000}
k_{66} = \frac{257}{1000000}
k_{67} = \frac{481}{10000000}
k_{68} = \frac{54528521}{100000000}
k_{69} = \frac{66624881}{500000000}
k_{70} = \frac{54528521}{100000000}
k_{71} = \frac{66624881}{500000000}
k_{72} = \frac{454984357}{500000000}
k_{73} = \frac{249503833}{62500}
k_{74} = \frac{76717457}{1000000000}
k_{75} = \frac{1157116021}{1000000}
k_{76} = \frac{15668861}{200000000}
k_{77} = \frac{25584101}{500000000}
k_{78} = \frac{257}{1000000}
k_{79} = \frac{481}{10000000}
k_{80} = \frac{334163}{200000000}
k_{81} = \frac{1580783969}{100000000}
k_{82} = \frac{343010239}{500000000}
k_{83} = \frac{157235251}{500000000}
k_{84} = \frac{2335459127}{1000000000}
k_{85} = \frac{664870859}{25000000}
k_{86} = \frac{65873}{4000000}
k_{87} = \frac{9544308421}{1000000000}
k_{88} = \frac{1497}{2000}
k_{89} = \frac{334163}{200000000}
k_{90} = \frac{1580783969}{100000000}
k_{91} = \frac{343010239}{500000000}
k_{92} = \frac{157235251}{500000000}
k_{93} = \frac{2335459127}{1000000000}
k_{94} = \frac{664870859}{25000000}
k_{95} = \frac{65873}{4000000}
k_{96} = \frac{9544308421}{1000000000}
k_{97} = \frac{513417379}{500000000}
k_{98} = \frac{79686257}{125000000}
k_{99} = \frac{224029011}{62500000}
k_{100} = \frac{33811}{125000000}
k_{101} = \frac{1443889}{1000000000}
k_{102} = \frac{612041}{250000000}
k_{103} = \frac{174930450707061}{5000000000000000000}
k_{104} = \frac{19898797}{1000000000}
k_{105} = \frac{49618827}{125000000}
k_{106} = \frac{413466150826031}{10000000000000000000}
k_{107} = \frac{13844393}{1000000000}
k_{108} = \frac{2800340453}{1000000000}
k_{109} = 350
k_{110} = 220
k_{111} = 940
k_{112} = \frac{225931}{12500000}
k_{113} = \frac{434396}{125}
k_{114} = \frac{4929077}{50000000}
k_{115} = \frac{2372001}{10000}
k_{116} = \frac{3573399}{10000000}
k_{117} = \frac{333533}{250}
k_{118} = \frac{4635749}{1000000}
k_{119} = \frac{404671}{100}
k_{120} = \frac{674213}{12500000}
k_{121} = \frac{205579}{200000}
k_{122} = \frac{13663}{125000}
k_{123} = \frac{606871}{1000}
k_{124} = \frac{5291093}{1000000}
k_{125} = \frac{1061721}{2500}
k_{126} = \frac{3436149}{100000000}
k_{127} = \frac{14381}{1250}
k_{128} = \frac{1374307}{10000000}
k_{129} = \frac{928102}{125}
k_{130} = \frac{8258693}{100000000}
k_{131} = \frac{1063817}{2500}
k_{132} = \frac{2487469}{100000000}
k_{133} = \frac{8583423}{10000}
k_{134} = \frac{4425491}{5000000}
k_{135} = \frac{4665217}{1000}
k_{136} = \frac{5377297}{100000000}
k_{137} = \frac{2050809}{100000}
k_{138} = \frac{791411}{20000000}
k_{139} = \frac{7774197}{1000000}
k_{140} = \frac{343561}{25000}
k_{141} = \frac{424409}{200}
k_{142} = 1
k_{143} = 940
k_{144} = 220
k_{145} = 0
k_{146} = 10
k_{147} = \frac{455881}{2500}
k_{148} = \frac{1269351}{50000}
k_{149} = \frac{654631}{50000}
k_{150} = \frac{5704179}{10000}
k_{151} = \frac{16249}{10}
k_{152} = \frac{4133287}{50000}
k_{153} = \frac{1593303}{2500}
k_{154} = 353
k_{155} = 0
k_{156} = \frac{494807}{2000}
k_{157} = 1000
k_{158} = 1510