Inf
 2.51330981e+03
 2.51354347e+03
 2.51356668e+03
 2.51369047e+03
 2.51395509e+03
 2.51393706e+03
 2.51361472e+03
 2.51354554e+03
 2.51383907e+03
 2.51376541e+03
 2.51345183e+03
 2.51355917e+03
 2.51381250e+03
 2.51361821e+03
 2.51357315e+03
 2.51363354e+03
 2.51383312e+03
 2.51392428e+03
 2.51338112e+03
 2.51328077e+03
 2.51340581e+03
 2.51376543e+03
 2.51473335e+03
 2.51752195e+03
 2.51890186e+03
 2.51686125e+03
 2.51647350e+03
 2.51769154e+03
 2.51815043e+03
 2.51756289e+03
 2.51740016e+03
 2.51764982e+03
 2.51767593e+03
 2.51695225e+03
 2.51654125e+03
 2.51754647e+03
 2.51776765e+03
 2.51658440e+03
 2.51629807e+03
 2.51683870e+03
 2.51661688e+03
 2.51680121e+03
 2.51718467e+03
 2.51748522e+03
 2.51710631e+03
 2.51654118e+03
 2.51757940e+03
 2.51792908e+03
 2.51631516e+03
 2.51464350e+03
 2.51465771e+03
 2.51535526e+03
 2.51504896e+03
 2.51377242e+03
 2.51337471e+03
 2.51363833e+03
 2.51364569e+03
 2.51337158e+03
 2.51336976e+03
 2.51383758e+03
 2.51409811e+03
 2.51381541e+03
 2.51368409e+03
 2.51386783e+03
 2.51390995e+03
 2.51351633e+03
 2.51336309e+03
 2.51351829e+03
 2.51357315e+03
 2.51352621e+03
 2.51383311e+03
 2.51375157e+03
 2.51388480e+03
 2.51435564e+03
 2.51409627e+03
 2.51377664e+03
 2.51367523e+03
 2.51411989e+03
 2.51472856e+03
 2.51469242e+03
 2.51423122e+03
 2.51388792e+03
 2.51377806e+03
 2.51419844e+03
 2.51464817e+03
 2.51449637e+03
 2.51448565e+03
 2.51400861e+03
 2.51420800e+03
 2.51468098e+03
 2.51426655e+03
 2.51419849e+03
 2.51417567e+03
 2.51414941e+03
 2.51449862e+03
 2.51475265e+03
 2.51457002e+03
 2.51408730e+03
 2.51384809e+03
 2.51442708e+03
 2.51466926e+03
 2.51403612e+03
 2.51354970e+03
 2.51350283e+03
 2.51375021e+03
 2.51352921e+03
 2.51332067e+03
 2.51341018e+03
 2.51372317e+03
 2.51376825e+03
 2.51356236e+03
 2.51348511e+03
 2.51356773e+03
 2.51358523e+03
 2.51356880e+03
 2.51417564e+03
 2.51408543e+03
 2.51352621e+03
 2.51367521e+03
 2.51439318e+03
 2.51486347e+03
 2.51450080e+03
 2.51418701e+03
 2.51528979e+03
 2.51888267e+03
 2.51865122e+03
 2.51820296e+03
 2.51848472e+03
 2.51837622e+03
 2.51807575e+03
 2.51645901e+03
 2.51757519e+03
 2.51855798e+03
 2.51690280e+03
 2.51739955e+03
 2.51872369e+03
 2.51843448e+03
 2.51785186e+03
 2.51725580e+03
 2.51786874e+03
 2.51812406e+03
 2.51633948e+03
 2.51580157e+03
 2.51535529e+03
 2.51428847e+03
 2.51425102e+03
 2.51465748e+03
 2.51514299e+03
 2.51492409e+03
 2.51481619e+03
 2.51601109e+03
 2.51705219e+03
 2.51586823e+03
 2.51500169e+03
 2.51565808e+03
 2.51697140e+03
 2.51639881e+03
 2.51548045e+03
 2.51587457e+03
 2.51558496e+03
 2.51489618e+03
 2.51462036e+03
 2.51487595e+03
 2.51631865e+03
 2.51556082e+03
 2.51414569e+03
 2.51450518e+03
 2.51475991e+03
 2.51492674e+03
 2.51605736e+03
 2.51705992e+03
 2.51687217e+03
 2.51692534e+03
 2.51809752e+03
 2.51777514e+03
 2.51737571e+03
 2.51672705e+03
 2.51735142e+03
 2.51908218e+03
 2.51859849e+03
 2.51755890e+03
 2.51804067e+03
 2.51887327e+03
 2.51681997e+03
 2.51684977e+03
 2.51844416e+03
 2.51800580e+03
 2.51799684e+03
 2.52249337e+03
 2.52704920e+03
 2.52632384e+03
 2.52162727e+03
 2.52000809e+03
 2.52135336e+03
 2.51959104e+03
 2.51889235e+03
 2.51905274e+03
 2.51974709e+03
 2.52001331e+03
 2.51800191e+03
 2.51848442e+03
 2.51968656e+03
 2.51884477e+03
 2.51849431e+03
 2.51836343e+03
 2.51980279e+03
 2.51870952e+03
 2.51719648e+03
 2.51812357e+03
 2.51797956e+03
 2.51852582e+03
 2.51633948e+03
 2.51448109e+03
 2.51434544e+03
 2.51395838e+03
 2.51405180e+03
 2.51411990e+03
 2.51378087e+03
 2.51361822e+03
 2.51354762e+03
 2.51354668e+03
 2.51407301e+03
 2.51382127e+03
 2.51346117e+03
 2.51410713e+03
 2.51408340e+03
 2.51373389e+03
 2.51383906e+03
 2.51395674e+03
 2.51414755e+03
 2.51381103e+03
 2.51358744e+03
 2.51432687e+03
 2.51479160e+03
 2.51367145e+03
 2.51426852e+03
 2.51744036e+03
 2.51887367e+03
 2.51711799e+03
 2.51589401e+03
 2.51761660e+03
 2.51844901e+03
 2.51707913e+03
 2.51758333e+03
 2.51823395e+03
 2.51694840e+03
 2.51670521e+03
 2.51770828e+03
 2.51825626e+03
 2.51732740e+03
 2.51689164e+03
 2.51744837e+03
 2.51761289e+03
 2.51806269e+03
 2.51762071e+03
 2.51810178e+03
 2.51835439e+03
 2.51665349e+03
 2.51616467e+03
 2.51730343e+03
 2.51908223e+03
 2.51914766e+03
 2.51871433e+03
 2.51855359e+03
 2.51804095e+03
 2.51744446e+03
 2.51746158e+03
 2.51799761e+03
 2.51852145e+03
 2.51799317e+03
 2.51756721e+03
 2.51844409e+03
 2.51866405e+03
 2.51601768e+03
 2.51508905e+03
 2.51625303e+03
 2.51847595e+03
 2.51804892e+03
 2.51579830e+03
 2.51638822e+03
 2.51749740e+03
 2.51696735e+03
 2.51599470e+03
 2.51698658e+03
 2.51738396e+03
 2.51573237e+03
 2.51543652e+03
 2.51639191e+03
 2.51696768e+03
 2.51680476e+03
 2.51732343e+03
 2.51815454e+03
 2.51731537e+03
 2.51701373e+03
 2.51786880e+03
 2.51799842e+03
 2.51731544e+03
 2.51755446e+03
 2.51776303e+03
 2.51799771e+03
 2.51774597e+03
 2.51792856e+03
 2.51872366e+03
 2.51823364e+03
 2.51724387e+03
 2.51657004e+03
 2.51753823e+03
 2.51934387e+03
 2.51918594e+03
 2.51780938e+03
 2.51806205e+03
 2.51843521e+03
 2.51795440e+03
 2.51729556e+03
 2.51691434e+03
 2.51750545e+03
 2.51710625e+03
 2.51697924e+03
 2.51761665e+03
 2.51773826e+03
 2.51673439e+03
 2.51657033e+03
 2.51762494e+03
 2.51786087e+03
 2.51717281e+03
 2.51623255e+03
 2.51801484e+03
 2.52075498e+03
 2.51819394e+03
 2.51643074e+03
 2.51743611e+03
 2.51747918e+03
 2.51549226e+03
 2.51597159e+03
 2.51737970e+03
 2.51593916e+03
 2.51517576e+03
 2.49784969e+03
 2.51628059e+03
 2.51615385e+03
 2.51586829e+03
 2.51708692e+03
 2.51775892e+03
 2.51806292e+03
 2.51738366e+03
 2.51648037e+03
 2.51869575e+03
 2.51997196e+03
 2.51778394e+03
 2.51860786e+03
 2.52059801e+03
 2.51947643e+03
 2.51907294e+03
 2.51884994e+03
 2.52026278e+03
 2.51990403e+03
 2.51963646e+03
 2.52214649e+03
 2.52111739e+03
 2.52057679e+03
 2.51910135e+03
 2.52011092e+03
 2.52107937e+03
 2.51865417e+03
 2.51856985e+03
 2.51954626e+03
 2.52072240e+03
 2.51986366e+03
 2.51931954e+03
 2.51902980e+03
 2.51666815e+03
 2.51564900e+03
 2.51584887e+03
 2.51623597e+03
 2.51790304e+03
 2.51710230e+03
 2.51576996e+03
 2.51676767e+03
 2.51654083e+03
 2.51645561e+03
 2.51774186e+03
 2.51726737e+03
 2.51580462e+03
 2.51561561e+03
 2.51643773e+03
 2.51634934e+03
 2.51525048e+03
 2.51502801e+03
 2.51529260e+03
 2.51544520e+03
 2.51497303e+03
 2.51488365e+03
 2.51465983e+03
 2.51449864e+03
 2.51441646e+03
 2.51441801e+03
 2.51555489e+03
 2.51567092e+03
 2.51561222e+03
 2.51603417e+03
 2.51613776e+03
 2.51700969e+03
 2.51616445e+03
 2.51528983e+03
 2.51619156e+03
 2.51721229e+03
 2.51619836e+03
 2.51547752e+03
 2.51554250e+03
 2.51483596e+03
 2.51385110e+03
 2.51379518e+03
 2.51438687e+03
 2.51457918e+03
 2.51410714e+03
 2.51379801e+03
 2.51442068e+03
 2.51410531e+03
 2.51350856e+03
 2.51357969e+03
 2.51366895e+03
 2.51356558e+03
 2.51461340e+03
 2.51568591e+03
 2.51473331e+03
 2.51448550e+03
 2.51417188e+03
 2.51390202e+03
 2.51402746e+03
 2.51426459e+03
 2.51386630e+03
 2.51367271e+03
 2.51386019e+03
 2.51389576e+03
 2.51384808e+03
 2.51394040e+03
 2.51408909e+03
 2.51400859e+03
 2.51395838e+03
 2.51398325e+03
 2.51383460e+03
 2.51367396e+03
 2.51359416e+03
 2.51361009e+03
 2.51343228e+03
 2.51328267e+03
 2.51339110e+03
 2.51382276e+03
 2.51383337e+03
 2.51356023e+03
 2.51347252e+03
 2.51365043e+03
 2.51340294e+03
 2.51333059e+03
 2.51366272e+03
 2.51371788e+03
 2.51350187e+03
 2.51339800e+03
 2.51354761e+03
 2.51401544e+03
 2.51408378e+03
 2.51357750e+03
 2.51375847e+03
 2.51429048e+03
 2.51384807e+03
 2.51374339e+03
 2.51427649e+03
 2.51438067e+03
 2.51405183e+03
 2.51420416e+03
 2.51442283e+03
 2.51448770e+03
 2.51430657e+03
 2.51396332e+03
 2.51383312e+03
 2.51424881e+03
 2.51444857e+03
 2.51395837e+03
 2.51358856e+03
 2.51358087e+03
 2.51419271e+03
 2.51448112e+03
 2.51444625e+03
 2.51442071e+03
 2.51404309e+03
 2.51435769e+03
 2.51453188e+03
 2.51415312e+03
 2.51399505e+03
 2.51375434e+03
 2.51382865e+03
 2.51445717e+03
 2.51406591e+03
 2.51381104e+03
 2.51473814e+03
 2.51462707e+03
 2.51411259e+03
 2.51402751e+03
 2.51599139e+03
 2.51717697e+03
 2.51486341e+03
 2.51441224e+03
 2.51453402e+03
 2.51473335e+03
 2.51369176e+03
 2.51340294e+03
 2.51397992e+03
 2.51388943e+03
 2.51337096e+03
 2.51332641e+03
 2.51371653e+03
 2.51395183e+03
 2.51367396e+03
 2.51434737e+03
 2.51507299e+03
 2.51485083e+03
 2.51429248e+03
 2.51438261e+03
 2.51482109e+03
 2.51463647e+03
 2.51486089e+03
 2.51496791e+03
 2.51523375e+03
 2.51497301e+03
 2.51479158e+03
 2.51503843e+03
 2.51452293e+03
 2.51413091e+03
 2.51427050e+03
 2.51433918e+03
 2.51475988e+03
 2.51475094e+03
 2.51456100e+03
 2.51475986e+03
 2.51515932e+03
 2.51561842e+03
 2.51528694e+03
 2.51513216e+03
 2.51487851e+03
 2.51425275e+03
 2.50179159e+03
 2.51477933e+03
 2.51567970e+03
 2.51566073e+03
 2.51510241e+03
 2.51491911e+03
 2.51448546e+03
 2.51437020e+03
 2.51485840e+03
 2.51456097e+03
 2.51395509e+03
 2.51375987e+03
 2.51374069e+03
 2.51416623e+03
 2.51390832e+03
 2.51390222e+03
 2.51423512e+03
 2.51439321e+03
 2.51423511e+03
 2.51393070e+03
 2.51387400e+03
 2.51358080e+03
 2.51340509e+03
 2.51335273e+03
 2.51340294e+03
 2.51354347e+03
 2.51355182e+03
 2.51361705e+03
 2.51378940e+03
 2.51397493e+03
 2.51386171e+03
 2.51363117e+03
 2.51361243e+03
 2.51408909e+03
 2.51417571e+03
 2.51393878e+03
 2.51432076e+03
 2.51463654e+03
 2.51453849e+03
 2.51449425e+03
 2.51538693e+03
 2.51494974e+03
 2.51379944e+03
 2.51355918e+03
 2.51410713e+03
 2.51591010e+03
 2.51471654e+03
 2.51391788e+03
 2.51468095e+03
 2.51475770e+03
 2.51422928e+03
 2.51409271e+03
 2.51425273e+03
 2.51413642e+03
 2.51467390e+03
 2.51485848e+03
 2.51481605e+03
 2.51495236e+03
 2.51479154e+03
 2.51485085e+03
 2.51462262e+03
 2.51401373e+03
 2.51362998e+03
 2.51380232e+03
 2.51461802e+03
 2.51400860e+03
 2.51364315e+03
 2.51422345e+03
 2.51469282e+03
 2.51443990e+03
 2.51384959e+03
 2.51392744e+03
 2.51444208e+03
 2.51417185e+03
 2.51377382e+03
 2.51431669e+03
 2.51462960e+03
 2.51412722e+03
 2.51426256e+03
 2.51458139e+03
 2.51421379e+03
 2.51352721e+03
 2.51347341e+03
 2.51410532e+03
 2.51422354e+03
 2.51385867e+03
 2.51409627e+03
 2.51406939e+03
 2.51397826e+03
 2.51438477e+03
 2.51419079e+03
 2.51496785e+03
 2.51552502e+03
 2.51462955e+03
 2.51425473e+03
 2.51427631e+03
 2.51457684e+03
 2.51442279e+03
 2.50152702e+03
 2.51493951e+03
 2.51530117e+03
 2.51452293e+03
 2.51448572e+03
 2.51498342e+03
 2.51462260e+03
 2.51449866e+03
 2.51482355e+03
 2.51504907e+03
 2.51438687e+03
 2.51428053e+03
 2.51509434e+03
 2.51569828e+03
 2.51476472e+03
 2.51415500e+03
 2.51478175e+03
 2.51529268e+03
 2.51464115e+03
 2.51423708e+03
 2.51460191e+03
 2.51460660e+03
 2.51425274e+03
 2.51405184e+03
 2.51393393e+03
 2.51459277e+03
 2.51480637e+03
 2.51405358e+03
 2.51392911e+03
 2.51435150e+03
 2.51407122e+03
 2.51368281e+03
 2.51391786e+03
 2.51422347e+03
 2.51428254e+03
 2.51389416e+03
 2.51383463e+03
 2.51360550e+03
 2.51334354e+03
 2.51333298e+03
 2.51346031e+03
 2.51374884e+03
 2.51364314e+03
 2.51342064e+03
 2.51341689e+03
 2.51367145e+03
 2.51383312e+03
 2.51355389e+03
 2.51364073e+03
 2.51401715e+03
 2.51352821e+03
 2.51335441e+03
 2.51366272e+03
 2.51379946e+03
 2.51357314e+03
 2.51345690e+03
 2.51393554e+03
 2.51428849e+03
 2.51355811e+03
 2.51339800e+03
 2.51357641e+03
 2.51358971e+03
 2.51384808e+03
 2.51403961e+03
 2.51356665e+03
 2.51340726e+03
 2.51355917e+03
 2.51372986e+03
 2.51355284e+03
 2.51363354e+03
 2.51365902e+03
 2.51339452e+03
 2.51341164e+03
 2.51363474e+03
 2.51361007e+03
 2.51372183e+03
 2.51408372e+03
 2.51354970e+03
 2.51338639e+03
 2.51353833e+03
 2.51355286e+03
 2.51348420e+03
 2.51374065e+03
 2.51389888e+03
 2.51357205e+03
 2.51345520e+03
 2.51328932e+03
 2.51331133e+03
 2.51344684e+03
 2.51327484e+03
 2.51336015e+03
 2.51371257e+03
 Inf
 Inf
 2.51329519e+03
 2.51334302e+03
 Inf
 Inf
 1.61223350e+292
 1.51475162e+185
 6.25385675e+280
 Inf
 2.51330795e+03
 2.51338440e+03
 2.51329787e+03
 2.51333840e+03
 2.51337096e+03
 2.51327925e+03
 Inf
 Inf
 Inf
 Inf
 2.51331288e+03
 2.51336073e+03
 2.51341091e+03
 2.51346203e+03
 2.51331486e+03
 2.51328110e+03
 2.51327968e+03
 2.51346987e+03
 2.51343386e+03
 2.51351633e+03
 2.51346636e+03
 2.51337158e+03
 2.51361241e+03
 2.51338772e+03
 2.51329083e+03
 2.51336428e+03
 2.51344273e+03
 2.51336132e+03
 2.51372183e+03
 2.51387553e+03
 2.51365409e+03
 2.51365184e+03
 2.51359303e+03
 2.51359084e+03
 2.51366025e+03
 2.51361240e+03
 2.51340726e+03
 2.51337662e+03
 2.51340945e+03
 2.51336368e+03
 2.51329787e+03
 2.51337918e+03
 2.51348694e+03
 2.51333394e+03
 2.51335052e+03
 2.51332328e+03
 2.51332733e+03
 2.51341686e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328014e+03
 2.51328812e+03
 2.51333443e+03
 2.51331171e+03
 2.51327998e+03
 2.51350187e+03
 2.51395509e+03
 2.51345267e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328587e+03
 Inf
 2.51327520e+03
 2.51327612e+03
 Inf
 2.51327435e+03
 2.51328675e+03
 2.51332417e+03
 Inf
 Inf
 Inf
 Inf
 2.51327680e+03
 2.51340581e+03
 2.51343547e+03
 Inf
 Inf
 2.51329519e+03
 2.51327792e+03
 Inf
 2.51328045e+03
 Inf
 2.51327438e+03
 2.51339452e+03
 2.51327983e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.09292438e+204
 3.41371634e+169
 4.18659148e+206
 3.66843939e+247
 1.55515784e+294
 3.37124681e+293
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327843e+03
 2.51327711e+03
 Inf
 Inf
 Inf
 Inf
 2.46696385e+252
 Inf
 2.51328267e+03
 Inf
 2.95206028e+214
 1.55603648e+280
 Inf
 Inf
 Inf
 2.51343149e+03
 2.51602759e+03
 2.51789048e+03
 2.51631856e+03
 2.51474780e+03
 2.51402231e+03
 2.51339042e+03
 2.51327612e+03
 2.51367396e+03
 2.51477204e+03
 2.51398493e+03
 2.51368409e+03
 2.51416434e+03
 2.51460424e+03
 2.51449196e+03
 2.51389103e+03
 2.51410349e+03
 2.51437225e+03
 2.51404832e+03
 2.51402411e+03
 2.51396167e+03
 2.51376125e+03
 2.51346549e+03
 2.51358079e+03
 2.51378088e+03
 2.77392090e+170
 2.04752877e+93
 4.44082820e+165
 9.71779280e+171
 2.41597279e+243
 8.62199502e+196
 3.45791704e+291
 Inf
 1.21134111e+232
 2.80224263e+259
 1.71646813e+197
 4.28915416e+299
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330474e+03
 2.51389730e+03
 2.51433919e+03
 2.51426451e+03
 2.51361010e+03
 2.51388790e+03
 2.51446151e+03
 2.51432478e+03
 2.51408193e+03
 2.51425864e+03
 2.51475989e+03
 2.51431466e+03
 2.51398328e+03
 Inf
 Inf
 2.51328143e+03
 Inf
 Inf
 2.51364921e+03
 2.51466923e+03
 2.51417562e+03
 2.51388948e+03
 2.51424684e+03
 2.51494209e+03
 2.51417752e+03
 2.51349155e+03
 2.51356557e+03
 2.51389416e+03
 2.51395185e+03
 2.51389259e+03
 2.51369950e+03
 2.51340223e+03
 2.51329161e+03
 2.51348970e+03
 2.51405710e+03
 2.51385108e+03
 2.51396496e+03
 2.51459278e+03
 2.51441850e+03
 2.51384507e+03
 2.51429648e+03
 2.51509169e+03
 2.51443562e+03
 2.51404135e+03
 2.51557896e+03
 2.51392106e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327968e+03
 Inf
 3.67073551e+180
 9.53478579e+210
 2.09471641e+205
 9.13063803e+271
 3.70347750e+247
 2.57354315e+176
 Inf
 Inf
 4.14207298e+216
 2.11301013e+211
 Inf
 Inf
 Inf
 Inf
 2.75502172e+275
 4.36060246e+196
 1.19464191e+203
 9.59099798e+159
 2.34341528e+134
 1.91051705e+157
 1.70674786e+134
 2.91257476e+136
 1.62652953e+172
 2.34809987e+134
 1.84881641e+125
 5.94299953e+138
 4.10533632e+101
 9.94186935e+85
 1.24494225e+99
 8.32679213e+99
 1.25194507e+99
 7.33825163e+132
 3.84699604e+159
 1.04002743e+141
 6.12269107e+163
 1.11766732e+146
 1.40835701e+125
 2.73601748e+172
 9.36652537e+155
 2.11106807e+136
 1.68851453e+155
 2.43465955e+184
 4.46507026e+199
 1.04618914e+141
 3.27325517e+174
 2.17329451e+196
 1.74146450e+150
 7.26816106e+154
 6.06352919e+159
 2.57665429e+150
 1.60144340e+189
 Inf
 6.70711999e+181
 3.81235786e+182
 Inf
 4.24534828e+158
 1.46737923e+176
 6.52826149e+139
 9.84989618e+67
 2.05817979e+99
 3.64930579e+289
 1.85123434e+109
 3.66799078e+74
 1.97628089e+94
 1.37655829e+131
 5.99162148e+114
 1.85866890e+52
 8.69859183e+48
 5.39420178e+76
 3.65430380e+91
 1.10996278e+181
 6.63217902e+270
 7.71304462e+200
 5.06844080e+148
 6.03877673e+120
 3.77402051e+114
 2.68823830e+185
 3.37702911e+295
 Inf
 2.51327490e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51333012e+03
 Inf
 6.70000707e+214
 3.44848793e+222
 Inf
 Inf
 4.93209561e+223
 1.92580677e+265
 Inf
 Inf
 6.36763351e+239
 7.47938447e+165
 6.08417868e+277
 Inf
 4.64079590e+165
 1.70994495e+225
 3.68048985e+247
 2.30250516e+167
 1.45614532e+162
 5.56655855e+195
 Inf
 Inf
 1.45922085e+156
 1.38826259e+133
 7.09200362e+253
 5.43604022e+306
 1.25457377e+178
 6.87012365e+182
 1.61517132e+229
 2.65982116e+193
 1.02757364e+111
 3.60036136e+102
 7.23526585e+146
 6.03673460e+120
 2.16910666e+120
 3.23841922e+152
 9.18928422e+160
 5.88854248e+153
 2.28815113e+110
 1.99227951e+180
 1.78113760e+283
 6.83774671e+197
 Inf
 2.51329135e+03
 2.51327419e+03
 Inf
 2.51328502e+03
 2.51327456e+03
 Inf
 1.35160653e+285
 3.51066510e+291
 5.00216788e+152
 1.45162293e+162
 5.23001579e+156
 1.92618910e+118
 3.18676623e+104
 4.02797694e+100
 4.59202062e+111
 2.14765247e+132
 1.91183306e+194
 4.40967562e+205
 1.30845598e+188
 2.10442310e+141
 2.73807672e+124
 1.07292691e+119
 3.90323435e+92
 3.68551030e+90
 4.47804550e+107
 1.04246913e+117
 2.31878997e+55
 3.26444464e+37
 1.44714684e+42
 4.27331511e+69
 4.44108700e+139
 3.62354961e+192
 2.53320248e+213
 6.97864847e+126
 7.66111212e+113
 8.57529891e+131
 1.69730908e+134
 7.54949606e+114
 8.59474948e+207
 7.32890776e+142
 1.11660319e+93
 1.16105649e+118
 1.58354297e+132
 1.10006401e+158
 1.09801845e+149
 1.60081835e+189
 3.89836694e+173
 3.51952629e+117
 1.33558802e+87
 6.74963276e+83
 1.58382622e+84
 1.45173558e+86
 2.44346323e+113
 7.13424998e+111
 2.11482292e+143
 1.44811976e+161
 4.65767566e+111
 2.15249045e+92
 1.37402376e+92
 2.61131589e+105
 4.80601796e+100
 8.03932793e+112
 1.97436396e+116
 2.75401642e+106
 2.12180217e+127
 6.10962179e+113
 4.08826266e+106
 7.03175972e+123
 4.82956332e+115
 3.98088849e+132
 1.64479398e+168
 5.07605773e+128
 1.29618486e+121
 1.50608115e+115
 1.60325771e+92
 5.89604261e+77
 8.91747328e+89
 2.20732807e+126
 3.36444832e+106
 9.03765375e+106
 4.67665852e+121
 1.76177245e+119
 5.18485558e+112
 1.85718393e+92
 3.90514647e+95
 4.70742859e+114
 2.84173809e+100
 1.15590341e+85
 5.99165930e+97
 8.51886382e+131
 1.21519376e+142
 5.69212368e+137
 1.50312493e+118
 2.24033102e+37
 2.77438210e+12
 6.24505364e+14
 5.21036205e+101
 1.70781515e+112
 3.74903473e+128
 1.25658242e+106
 4.59905162e+95
 1.86294262e+108
 3.70944711e+96
 8.39252097e+81
 4.79061368e+113
 1.10915921e+174
 1.95875510e+288
 Inf
 2.82525994e+235
 2.80477640e+202
 1.14013536e+218
 2.58657660e+258
 3.87858956e+289
 4.15249599e+207
 Inf
 Inf
 Inf
 Inf
 Inf
 2.03116308e+288
 Inf
 8.21601235e+232
 Inf
 7.42854970e+255
 1.49190617e+141
 3.62211974e+120
 5.22506790e+129
 7.41853850e+132
 1.48545968e+160
 2.85898159e+214
 2.58677034e+153
 9.94110722e+96
 2.39646803e+82
 1.98474244e+94
 8.81558259e+73
 2.07175081e+90
 4.43166802e+165
 3.64376554e+161
 2.69101857e+191
 1.36837945e+269
 Inf
 Inf
 Inf
 2.34902853e+253
 Inf
 2.51327501e+03
 Inf
 Inf
 2.51327490e+03
 Inf
 4.67806445e+287
 2.62237412e+226
 2.97640370e+267
 2.79307741e+235
 4.03335254e+276
 2.77143042e+168
 3.28583927e+139
 Inf
 1.64442724e+229
 2.29505332e+106
 1.89163601e+103
 1.21137586e+105
 1.64587507e+107
 1.32459854e+117
 5.21940846e+129
 8.75272004e+95
 2.03345120e+84
 1.91336583e+111
 1.74334377e+93
 1.76877697e+80
 9.07462374e+80
 1.19903520e+105
 6.29967894e+131
 6.38650493e+98
 2.33189078e+94
 1.36692133e+112
 6.07258155e+121
 1.84277056e+125
 2.76017728e+106
 1.02167850e+85
 3.03260492e+79
 5.48905757e+73
 2.55253073e+77
 3.73903803e+84
 5.49137910e+72
 2.21050581e+71
 2.64769289e+72
 1.04415513e+75
 1.15417092e+87
 4.91017999e+88
 4.24293936e+90
 8.29981932e+99
 1.15747404e+97
 4.16187608e+99
 1.00423397e+113
 3.83975957e+87
 3.49397911e+72
 2.27666934e+84
 2.27363154e+83
 3.44965568e+73
 3.92762083e+70
 3.01211145e+79
 5.38281413e+78
 6.23564108e+65
 8.20104103e+78
 6.42737605e+88
 2.44713473e+85
 2.84466476e+77
 1.04665461e+75
 4.06254455e+76
 5.27083986e+83
 7.07159556e+97
 2.75795205e+91
 1.93243978e+96
 1.98262637e+101
 1.12171894e+89
 5.15553201e+102
 2.11861465e+127
 1.61843416e+97
 1.01900403e+85
 9.76895636e+96
 2.97699266e+114
 5.39136284e+123
 1.47746101e+94
 5.13221582e+89
 1.35836537e+97
 9.42624613e+81
 2.43644344e+79
 6.51283793e+77
 3.83990250e+80
 2.35377190e+100
 2.77614636e+120
 1.58473954e+132
 3.86208001e+262
 2.51327669e+03
 2.51327490e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.48029263e+255
 1.65882392e+172
 1.31672013e+285
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327621e+03
 2.51329696e+03
 Inf
 Inf
 2.51328267e+03
 2.51328957e+03
 Inf
 2.51331406e+03
 2.51328675e+03
 Inf
 Inf
 2.51328884e+03
 2.51337471e+03
 2.51330832e+03
 2.51327604e+03
 2.51327650e+03
 Inf
 3.94206777e+289
 4.06262195e+276
 6.83398329e+197
 1.04596275e+141
 3.41068917e+171
 3.36556443e+219
 3.45097098e+222
 Inf
 2.51327413e+03
 Inf
 Inf
 1.00564170e+205
 1.13500829e+174
 4.26023901e+299
 Inf
 Inf
 1.46330606e+222
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327711e+03
 Inf
 Inf
 2.51341091e+03
 2.51336668e+03
 2.51338705e+03
 2.51329135e+03
 Inf
 2.51327507e+03
 Inf
 Inf
 Inf
 Inf
 1.61804797e+292
 Inf
 2.51328304e+03
 2.51330169e+03
 Inf
 2.77508610e+302
 Inf
 Inf
 Inf
 2.81125715e+302
 Inf
 2.51331897e+03
 2.51343626e+03
 2.51338572e+03
 2.51332825e+03
 2.51329378e+03
 Inf
 Inf
 Inf
 Inf
 2.51328161e+03
 2.51330544e+03
 Inf
 Inf
 2.51327514e+03
 Inf
 Inf
 2.51328461e+03
 2.51333790e+03
 2.51336729e+03
 2.51329057e+03
 Inf
 Inf
 1.74544389e+290
 Inf
 2.51327448e+03
 1.01599639e+249
 3.49179735e+146
 3.74816595e+194
 2.84893087e+195
 1.36754166e+193
 5.13168744e+193
 Inf
 2.51327474e+03
 2.51338772e+03
 3.71759485e+291
 1.39313666e+97
 8.81125111e+127
 9.44307423e+159
 1.50370160e+104
 2.70019854e+82
 4.75141022e+115
 1.20726387e+127
 3.30133754e+88
 7.42076909e+87
 1.10914508e+88
 1.37175588e+92
 3.57974674e+85
 1.36457283e+90
 3.67765061e+111
 3.09150936e+113
 1.30513161e+120
 6.38801460e+109
 2.01463727e+107
 8.38358376e+101
 2.45673112e+107
 1.68246635e+126
 3.33493013e+112
 1.10042566e+138
 9.30902680e+169
 2.17745104e+132
 7.42407242e+132
 2.30944007e+130
 5.76001115e+111
 4.68454743e+121
 6.33682114e+131
 2.06895603e+211
 1.43546824e+222
 9.61800986e+114
 2.39725905e+91
 7.78285015e+82
 1.27832540e+89
 3.06416510e+113
 1.08858013e+123
 2.90133659e+119
 1.32969844e+117
 1.68812795e+126
 1.61245942e+146
 7.94146583e+135
 2.41724168e+111
 1.30727950e+103
 1.57471385e+132
 1.00378304e+121
 3.69700994e+107
 3.46123617e+108
 1.23185822e+104
 8.19610747e+116
 4.86048346e+113
 4.29984752e+110
 1.02568382e+131
 5.66098044e+189
 7.99794074e+119
 7.64752674e+113
 2.27875574e+177
 1.49433792e+185
 4.47137191e+184
 6.87840925e+182
 5.61970156e+285
 Inf
 1.65041532e+229
 1.10875520e+149
 4.94854752e+147
 1.69444137e+120
 2.24577672e+89
 1.56111069e+103
 9.47953452e+94
 9.91896855e+97
 1.57105300e+132
 2.71059436e+168
 8.55297706e+188
 3.66759574e+192
 1.97862647e+206
 1.53474480e+136
 3.63219392e+86
 5.08138707e+61
 5.92863024e+78
 5.09081283e+109
 6.53656146e+87
 3.32594701e+81
 1.48859956e+114
 7.45918050e+88
 4.06183769e+69
 5.06328150e+112
 3.37016085e+148
 2.95039984e+132
 5.75046668e+105
 7.95912103e+93
 1.48209893e+99
 7.68965044e+120
 3.32000288e+197
 5.16489936e+203
 2.07574427e+154
 6.01802814e+141
 1.88341312e+305
 2.51388481e+03
 2.51419278e+03
 2.51330723e+03
 2.51340223e+03
 2.51582999e+03
 2.51498071e+03
 2.51367145e+03
 2.51367995e+03
 2.51330906e+03
 Inf
 Inf
 6.78935672e+270
 3.70516235e+192
 1.42766642e+246
 1.00025718e+192
 1.00735694e+100
 8.34561887e+96
 1.00386074e+91
 1.65498598e+101
 7.70273751e+136
 1.81031300e+104
 4.51912282e+98
 3.37992853e+109
 2.25149744e+119
 2.32084257e+134
 6.44970219e+122
 3.93991520e+95
 2.07995882e+78
 2.30722653e+77
 7.59632595e+71
 2.05214595e+61
 7.34289631e+78
 5.66500310e+91
 6.42130045e+173
 Inf
 1.24741659e+171
 6.53726555e+112
 4.08186448e+101
 8.36871475e+101
 2.73701446e+93
 4.62805678e+104
 3.16206000e+116
 9.71466816e+191
 2.51359981e+03
 2.51339729e+03
 1.62878578e+116
 1.39789718e+125
 1.05610385e+204
 2.82918417e+75
 5.73935351e+75
 9.22511094e+129
 4.14268881e+123
 1.00715703e+212
 1.13606950e+174
 3.55669647e+99
 1.58585592e+80
 9.39547460e+66
 1.53487238e+74
 1.44185863e+88
 1.19137285e+96
 3.69026080e+119
 3.47892272e+110
 5.88078171e+71
 1.12630486e+66
 1.00385276e+80
 3.81048748e+82
 1.32915840e+82
 1.49142688e+81
 2.12933856e+92
 9.44381585e+94
 1.25302573e+113
 2.30332330e+139
 3.78951237e+88
 5.11271965e+66
 2.28312841e+78
 4.54795594e+95
 8.50968858e+88
 3.57553480e+85
 8.81659144e+91
 3.57950911e+85
 1.67356054e+81
 5.87596200e+74
 4.88122788e+88
 9.64231659e+108
 2.64058247e+97
 3.16608888e+104
 2.10824494e+143
 2.03130837e+181
 2.30808924e+161
 1.19493421e+145
 3.26230989e+152
 4.25306372e+282
 9.85720723e+171
 3.72996646e+107
 3.58086695e+181
 Inf
 Inf
 3.43564069e+219
 1.34022787e+241
 3.64752794e+180
 2.11948384e+136
 5.85435013e+153
 2.97004965e+157
 6.11951363e+167
 6.91455763e+243
 Inf
 Inf
 Inf
 9.00080684e+249
 8.92334967e+208
 5.65641034e+285
 1.46842485e+237
 4.87636162e+223
 1.14400604e+218
 2.12862058e+136
 5.96131054e+138
 1.03757121e+301
 Inf
 3.43221213e+219
 Inf
 Inf
 Inf
 2.69259372e+218
 5.75481085e+144
 2.91716736e+129
 5.41444481e+123
 1.94148584e+111
 3.32136195e+112
 8.86632303e+127
 5.00202898e+146
 2.68502552e+112
 1.00834911e+91
 4.13162467e+130
 2.15884376e+152
 2.12389040e+128
 4.81178345e+133
 1.90930128e+174
 1.04111590e+226
 3.82247187e+128
 1.31066592e+120
 5.53795741e+107
 6.16902606e+82
 1.18841656e+96
 1.79619640e+83
 1.10529992e+70
 9.41556444e+80
 2.28239285e+75
 6.01621814e+73
 8.07179163e+64
 2.20115879e+71
 1.44223036e+86
 1.33868964e+68
 5.23522039e+64
 1.67058254e+70
 1.39811743e+83
 5.87719113e+77
 6.73649151e+80
 2.86312778e+92
 2.76102654e+80
 2.80504392e+100
 4.86760220e+101
 3.17059694e+77
 2.65527012e+72
 1.69041234e+72
 1.69652172e+75
 1.01378524e+77
 1.80180473e+90
 1.26310767e+126
 3.36900440e+92
 9.76186947e+61
 7.17261432e+65
 6.85064002e+101
 2.95310756e+99
 4.86613468e+101
 5.61751744e+137
 3.62244815e+102
 1.88042925e+74
 3.48026586e+66
 2.54857528e+67
 2.62569726e+71
 1.26234650e+121
 4.48867668e+188
 1.70447507e+120
 2.00970582e+94
 1.14718846e+79
 2.28448520e+84
 1.28814831e+95
 2.61457545e+105
 2.09692171e+128
 2.26383556e+119
 1.89896157e+114
 1.71992013e+94
 3.33481436e+95
 2.94634572e+99
 6.80030300e+104
 9.03197896e+106
 2.29072446e+130
 6.88430760e+224
 3.95674045e+129
 4.44794428e+117
 1.11060343e+218
 6.55118701e+158
 9.67048449e+113
 2.29666285e+130
 5.66915688e+144
 3.82565135e+150
 5.04913211e+127
 1.09307373e+123
 8.60064940e+131
 2.02960084e+190
 1.03487536e+235
 1.26672785e+108
 4.31459323e+88
 1.56241077e+113
 2.63064926e+105
 2.78168222e+120
 6.34597312e+151
 3.90926192e+105
 9.54536883e+80
 1.87891702e+97
 6.79467088e+104
 1.10766871e+93
 4.67779787e+105
 2.93950866e+87
 6.07261854e+46
 3.06547683e+53
 3.08375570e+139
 2.10446425e+141
 3.13612245e+97
 3.33045023e+84
 4.60888976e+104
 8.84026827e+127
 7.66321691e+113
 4.66033323e+104
 4.97131957e+106
 9.01860819e+102
 1.68143411e+117
 1.57939090e+113
 2.68724525e+96
 2.34806958e+93
 2.09043419e+90
 4.70003460e+81
 1.41705955e+79
 1.66904360e+81
 6.47292476e+87
 1.10105674e+93
 8.49402138e+80
 6.88391034e+82
 8.23707251e+122
 1.11354981e+174
 5.05351963e+146
 2.16360835e+117
 7.25752901e+140
 1.56847672e+147
 3.33815017e+103
 3.86643796e+105
 3.96588823e+132
 8.91869349e+127
 3.72985156e+119
 1.26560017e+94
 3.69229903e+96
 3.99683354e+116
 1.10672766e+107
 6.99792475e+103
 1.02589787e+106
 Inf
 Inf
 4.61366423e+168
 1.55980049e+138
 1.49852757e+104
 7.67072220e+115
 1.55649366e+147
 3.50526263e+117
 9.57086990e+80
 4.27355168e+88
 3.83724564e+113
 4.81735755e+100
 4.09976913e+76
 6.60659666e+81
 4.03643763e+106
 4.98930152e+127
 1.60276432e+84
 7.21486110e+72
 1.95173282e+171
 5.15972494e+191
 2.29900211e+110
 5.09717171e+116
 1.56713848e+164
 4.34851326e+170
 1.12492487e+153
 4.71252888e+240
 4.10548035e+183
 2.49983740e+142
 5.68730829e+144
 1.21635850e+127
 1.90238928e+115
 2.43829401e+118
 1.87795379e+133
 5.05624891e+142
 2.13486115e+143
 3.25121733e+98
 4.25799483e+90
 1.56076040e+128
 1.11576774e+174
 1.29888209e+140
 1.25946848e+106
 1.01927987e+104
 1.12260385e+89
 2.44306674e+79
 9.50922503e+74
 3.36810345e+75
 7.18962230e+72
 4.27696252e+70
 6.03565343e+67
 1.73050368e+67
 6.19454095e+62
 1.04048090e+66
 2.39254366e+95
 4.78901571e+103
 8.20215228e+92
 6.99894448e+84
 6.63075545e+81
 3.16027891e+93
 5.92574025e+81
 7.42851287e+78
 2.81250698e+101
 1.78010988e+105
 1.16514684e+101
 6.19591053e+84
 8.10344701e+100
 2.54833952e+133
 4.40335936e+87
 3.45484916e+73
 1.23365557e+84
 1.18926548e+81
 1.22167713e+76
 6.39822406e+66
 3.70418377e+69
 6.82438387e+94
 1.78473735e+91
 5.45478443e+84
 5.26316267e+81
 1.37778460e+98
 1.46535575e+143
 1.03575284e+106
 3.18687154e+78
 1.49795056e+73
 2.41708486e+86
 2.87055776e+92
 5.31329588e+77
 1.45448800e+94
 5.64300424e+88
 6.01190083e+78
 1.28989360e+103
 8.34803415e+188
 Inf
 2.15758395e+233
 1.96908722e+111
 1.19545451e+90
 1.54617229e+111
 6.42648535e+139
 4.40431670e+134
 6.36524845e+95
 9.39830823e+114
 1.22812312e+157
 2.94015125e+122
 3.18301507e+86
 1.14229820e+68
 2.04638204e+66
 2.44283331e+76
 3.73709189e+84
 1.13183857e+80
 6.02491408e+92
 8.19422817e+134
 1.16958996e+232
 6.67667583e+173
 4.74655445e+121
 9.05447105e+143
 6.13081517e+115
 4.33323938e+93
 1.56324744e+128
 1.38176128e+112
 1.19387351e+82
 5.97911555e+96
 9.90002951e+99
 7.43090591e+88
 2.66563674e+96
 6.22276884e+50
 6.54825336e+47
 7.10550339e+73
 6.39237256e+66
 8.34268041e+65
 7.77420289e+70
 1.32375147e+81
 4.30235064e+80
 2.14822819e+104
 1.07593464e+105
 4.13454720e+112
 3.09253404e+113
 1.27572020e+126
 2.17849304e+85
 1.24051466e+84
 2.28260977e+98
 1.10716004e+95
 1.05801659e+82
 1.96861159e+80
 1.50447660e+95
 2.36628363e+114
 4.08877630e+85
 6.63270107e+81
 9.94399445e+101
 3.83669421e+104
 1.17618206e+98
 2.78512506e+85
 1.89907164e+85
 2.31961396e+94
 8.40485792e+105
 3.35645099e+87
 1.13309187e+80
 8.93263832e+106
 2.28263893e+96
 2.23777118e+76
 1.57827987e+84
 1.02042570e+92
 1.58224324e+80
 9.46532046e+80
 1.46571141e+89
 1.40642509e+75
 1.67248627e+82
 5.34322272e+95
 6.52779181e+90
 2.62425251e+97
 1.29499035e+95
 9.72441676e+87
 5.99971524e+97
 1.41083926e+123
 2.56936603e+133
 2.76503552e+106
 2.72869121e+94
 1.17728761e+100
 9.93709047e+120
 3.99163564e+118
 4.73752960e+79
 8.91588299e+102
 1.80923098e+109
 5.53755462e+73
 3.15454162e+91
 1.56579789e+132
 8.89795268e+132
 8.91802094e+127
 4.08123478e+164
 1.72256765e+158
 1.26907895e+111
 2.08093409e+102
 3.83721838e+104
 7.02628123e+123
 1.56426688e+111
 3.36095059e+87
 3.88386079e+77
 1.86915474e+81
 5.67194000e+91
 1.79593989e+84
 6.69275511e+107
 5.39503048e+95
 1.71187574e+75
 4.88589894e+91
 2.71518860e+94
 1.70668652e+74
 1.67009887e+78
 6.95686047e+84
 3.56963975e+85
 1.01478471e+85
 5.53326758e+75
 2.76009762e+85
 5.26586512e+110
 2.74971081e+106
 1.50319774e+81
 3.73043376e+88
 4.33270400e+96
 2.16314623e+85
 2.14489423e+105
 1.16225759e+139
 7.05472530e+129
 5.98293983e+141
 4.42571412e+184
 3.49231045e+131
 1.56669912e+116
 1.22872656e+157
 7.43273278e+152
 1.55538978e+138
 3.64169058e+121
 4.93980638e+90
 1.07849652e+103
 4.80237518e+100
 8.08460089e+77
 7.42310597e+75
 6.92436742e+99
 3.66457883e+97
 3.27716449e+83
 9.71110597e+83
 1.89743427e+88
 1.77054898e+105
 1.49682711e+93
 7.26648543e+77
 5.48525276e+73
 2.93096025e+111
 4.16963708e+130
 3.45781273e+131
 2.80325819e+195
 Inf
 Inf
 3.87029505e+178
 1.04119694e+282
 Inf
 Inf
 Inf
 1.04310082e+306
 9.67491247e+159
 1.38921058e+133
 1.86564561e+208
 1.98400337e+206
 2.99601790e+157
 2.95541182e+132
 2.74313445e+172
 5.54769224e+233
 2.96435436e+137
 6.18698022e+124
 3.62825834e+140
 2.07599346e+211
 1.37091683e+193
 3.65006017e+120
 7.29509016e+190
 1.74019832e+150
 1.51035366e+93
 4.32819266e+94
 6.81760595e+100
 2.14593536e+92
 2.92734374e+87
 1.00348300e+111
 4.84184091e+175
 9.39217813e+169
 6.14509331e+106
 2.84577615e+101
 4.66668273e+121
 4.09105285e+101
 1.25957064e+94
 1.93445843e+96
 8.39182413e+81
 1.89672391e+85
 1.27737237e+86
 1.53957618e+91
 6.00392997e+96
 3.80618543e+98
 3.34542466e+92
 9.76686237e+67
 1.09971713e+71
 6.24500957e+98
 3.83230661e+104
 1.71764596e+122
 4.93843768e+122
 2.67143103e+112
 5.32312844e+110
 3.39408124e+109
 8.06554468e+124
 5.67217212e+150
 1.33889806e+117
 1.30231788e+95
 6.42098486e+112
 9.98401222e+120
 4.91028899e+147
 2.65384127e+250
 Inf
 3.84023573e+297
 8.18274834e+156
 3.17260213e+201
 6.39245276e+143
 7.31218297e+140
 6.61072281e+164
 6.02988474e+141
 1.32252080e+177
 5.64743512e+169
 1.24585564e+116
 3.75395777e+128
 1.10848733e+146
 1.99012032e+116
 1.65788584e+96
 2.00506277e+107
 8.95058071e+128
 4.11098092e+129
 4.38658745e+143
 7.23653370e+170
 Inf
 Inf
 Inf
 Inf
 Inf
 5.83727095e+285
 1.85129787e+274
 3.90489258e+279
 Inf
 Inf
 Inf
 Inf
 2.51330906e+03
 2.51346463e+03
 2.51329943e+03
 Inf
 1.90868741e+220
 2.71559272e+302
 7.39503346e+255
 4.73222381e+120
 7.35869156e+148
 Inf
 Inf
 2.15519081e+217
 3.73491433e+160
 3.38137748e+147
 3.38442883e+156
 3.07373987e+143
 9.79513056e+204
 2.42822198e+115
 6.05476419e+97
 9.14817821e+155
 3.97341123e+216
 1.45630479e+195
 2.84943051e+195
 Inf
 2.51327856e+03
 Inf
 Inf
 6.58918885e+226
 2.23666747e+239
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.02156262e+157
 3.97306725e+227
 Inf
 Inf
 2.51328421e+03
 2.51333154e+03
 2.51332461e+03
 Inf
 Inf
 2.74473199e+250
 Inf
 Inf
 Inf
 Inf
 4.79503014e+211
 2.18136263e+117
 8.28112173e+134
 8.12490004e+124
 2.29274572e+96
 4.40033648e+117
 5.79726638e+162
 5.72630279e+150
 6.49907776e+139
 4.20677683e+99
 1.50196573e+114
 9.07916663e+160
 1.07307858e+165
 1.39030652e+167
 7.59623391e+200
 1.19549095e+203
 2.41221432e+163
 4.23603067e+141
 3.90111250e+113
 8.07688024e+124
 1.09745383e+158
 2.29796339e+161
 5.31200887e+306
 3.11537875e+260
 1.23275731e+124
 5.83221970e+153
 Inf
 Inf
 Inf
 2.51328675e+03
 2.51399842e+03
 2.51446588e+03
 2.51418699e+03
 2.51372184e+03
 2.51435769e+03
 2.51508634e+03
 2.51426457e+03
 2.51342293e+03
 Inf
 3.93944577e+268
 1.76734580e+216
 1.00079399e+194
 1.62683951e+127
 1.69399163e+117
 9.18325332e+117
 9.72147384e+191
 7.07417081e+192
 1.73236649e+130
 1.01169906e+133
 9.75777005e+204
 Inf
 2.95991746e+307
 1.12878461e+155
 3.74760297e+93
 5.70130090e+91
 1.51196060e+106
 2.72427725e+98
 3.39535318e+101
 3.35329791e+148
 2.44178100e+125
 5.68860096e+88
 7.47522732e+98
 1.40462543e+96
 1.07820633e+94
 8.90336450e+133
 1.06380791e+148
 2.53278500e+176
 9.37287142e+155
 2.40447452e+114
 7.05725673e+255
 Inf
 3.03719188e+267
 Inf
 2.51372986e+03
 2.51331446e+03
 2.72267527e+258
 Inf
 5.79882304e+137
 1.06492091e+148
 Inf
 2.51327501e+03
 Inf
 8.68677376e+175
 3.36730434e+295
 7.52340901e+252
 2.36749965e+134
 7.06364239e+99
 5.38173193e+95
 7.64461921e+115
 3.15824524e+123
 8.14765570e+94
 4.52878581e+76
 1.16186705e+74
 5.41384561e+82
 3.37932253e+75
 4.86213659e+90
 4.96361948e+128
 7.91263750e+121
 4.86900889e+80
 2.38223860e+82
 6.38845638e+116
 3.60608548e+102
 3.14935747e+96
 1.64070917e+107
 2.78351298e+120
 6.97077486e+105
 1.00025668e+105
 7.24364021e+146
 2.18318883e+135
 7.55127029e+114
 9.02989955e+161
 1.08078613e+190
 2.10495804e+141
 3.46683553e+131
 3.77062222e+128
 5.18722859e+109
 6.84777869e+126
 1.27193272e+130
 4.74157467e+154
 1.23091365e+169
 1.19700172e+128
 1.29598287e+121
 1.06089075e+165
 1.09796088e+196
 9.61993686e+94
 6.01316554e+96
 3.93584992e+177
 5.49494851e+132
 1.53065840e+106
 9.96108988e+120
 2.99198762e+135
 3.67950058e+160
 2.30694752e+147
 1.40041909e+131
 1.94058855e+166
 6.13099906e+167
 1.24668771e+134
 4.68235410e+104
 1.81035020e+109
 5.00545174e+128
 2.16816469e+121
 4.37703320e+96
 4.33334663e+94
 4.17100325e+125
 1.08047335e+137
 2.33235741e+134
 6.11931866e+113
 4.66171158e+131
 3.25049289e+152
 2.58297308e+140
 5.69792077e+150
 5.75090155e+171
 2.21161285e+239
 4.03801589e+216
 1.63758574e+149
 2.17693676e+129
 4.94802541e+122
 5.65758609e+117
 1.79920305e+200
 8.45353208e+258
 1.51645329e+163
 1.23702493e+183
 1.37358469e+303
 3.89973459e+289
 1.72092502e+197
 6.45609319e+180
 1.07410297e+148
 8.94894872e+127
 8.30815540e+134
 4.83026022e+217
 4.21205602e+246
 1.12420109e+155
 3.88141394e+190
 1.36809666e+269
 2.46504881e+188
 1.20805612e+166
 3.65415905e+181
 4.87026613e+245
 6.71942751e+270
 8.03882367e+219
 1.67711677e+175
 2.16649194e+178
 3.15803333e+186
 2.45165487e+123
 6.49393853e+116
 2.64329138e+158
 2.39401236e+163
 5.37880951e+110
 1.11710774e+88
 3.13897887e+116
 1.37054637e+167
 4.06692318e+116
 1.00995356e+113
 2.89233466e+129
 7.63748426e+130
 3.39132205e+148
 8.38727327e+138
 1.42774203e+156
 2.36339641e+252
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51213179e+184
 4.46509877e+199
 2.39143192e+252
 1.03717908e+212
 1.15334829e+181
 9.37996588e+155
 Inf
 3.50362687e+261
 2.84727547e+165
 9.55153604e+278
 Inf
 6.31606256e+239
 9.62924968e+159
 3.40781678e+222
 Inf
 Inf
 Inf
 Inf
 Inf
 1.03454007e+306
 7.50402398e+235
 Inf
 Inf
 3.25626516e+284
 3.42620310e+197
 3.35956494e+215
 Inf
 Inf
 2.58703261e+228
 4.45949016e+134
 1.61477002e+149
 Inf
 1.65005371e+146
 8.90404170e+153
 1.07725624e+187
 1.22518482e+124
 1.10840797e+112
 3.78353078e+122
 3.92265434e+216
 1.59616601e+264
 5.71581551e+174
 2.24374667e+183
 2.42105442e+257
 9.48803350e+169
 8.59529604e+141
 1.10696160e+155
 3.35020481e+219
 8.10384202e+238
 6.41605811e+143
 3.86883734e+190
 Inf
 6.49301782e+228
 1.08264873e+204
 1.35277292e+173
 5.65200203e+136
 7.30408261e+194
 7.41433078e+252
 4.75913364e+204
 1.91989283e+207
 4.18278795e+209
 2.34000158e+256
 6.45219886e+228
 7.67855111e+200
 1.43287342e+222
 4.33655064e+282
 1.19110551e+224
 1.43830448e+222
 8.10730449e+238
 2.95928425e+238
 9.18650735e+271
 5.91477673e+160
 2.69106211e+112
 1.02123155e+104
 5.07826249e+118
 8.38753729e+166
 1.04365830e+143
 1.56846892e+148
 4.36128686e+205
 7.43113748e+252
 3.41646467e+197
 2.71405473e+198
 9.94070962e+191
 6.54247955e+139
 6.70689023e+127
 2.33187620e+160
 Inf
 Inf
 3.44818876e+169
 Inf
 2.51328608e+03
 8.61467440e+250
 5.40563859e+236
 1.34376649e+241
 Inf
 8.03481716e+257
 7.36469912e+170
 1.98824722e+223
 Inf
 5.11540947e+185
 2.18936565e+129
 2.55743945e+150
 2.83720421e+224
 3.76953304e+187
 1.34572172e+184
 1.05644033e+301
 Inf
 1.73278288e+245
 7.02057519e+243
 Inf
 Inf
 Inf
 Inf
 3.03821481e+249
 2.05439742e+180
 5.11950585e+193
 1.56131518e+201
 4.61914100e+263
 1.92428067e+192
 1.36355191e+154
 6.82262443e+230
 1.04827607e+287
 3.85154434e+178
 3.88329832e+234
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329787e+03
 2.51330303e+03
 2.51327413e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.04985895e+230
 2.54699683e+228
 2.19255019e+196
 6.45101526e+151
 9.61763101e+248
 1.20324962e+203
 5.07377992e+146
 9.80550250e+204
 4.89542584e+245
 2.86882315e+195
 9.92084092e+204
 1.45384259e+195
 4.10523921e+207
 7.43400746e+252
 7.14319886e+177
 4.29074996e+151
 2.80421838e+165
 3.13997144e+154
 9.31471429e+123
 1.33089885e+122
 1.18529149e+128
 1.94350204e+111
 2.22810010e+126
 1.81574539e+140
 5.68423368e+144
 1.89141065e+144
 4.83057437e+133
 7.21483019e+170
 4.45886732e+184
 1.20734047e+166
 4.78296923e+154
 5.71696075e+150
 7.82345041e+149
 1.59605382e+124
 1.00340022e+159
 1.11135234e+155
 1.24295704e+157
 7.04210857e+177
 1.09220377e+137
 Inf
 Inf
 1.50467917e+215
 1.94844826e+194
 6.26872555e+280
 3.50884723e+291
 7.38316591e+170
 2.54640432e+176
 2.27412196e+212
 2.04586075e+180
 2.35083801e+134
 6.11891411e+115
 4.89030922e+101
 1.10161055e+107
 3.01223559e+115
 6.27888881e+143
 9.81894262e+191
 5.22867312e+166
 1.02581125e+120
 7.64777779e+113
 2.38253915e+114
 1.79483479e+91
 2.64787634e+81
 1.92673950e+98
 4.40399468e+117
 1.49554560e+118
 6.86725719e+126
 3.20128203e+125
 1.01692580e+111
 2.41818627e+125
 1.00798879e+212
 1.33044935e+285
 5.23663080e+191
 3.67656884e+140
 3.95736019e+155
 1.65992193e+245
 2.37941174e+245
 1.68160206e+175
 2.07274147e+179
 3.44060586e+171
 5.03041418e+185
 1.46878194e+234
 9.25079968e+161
 6.13872782e+106
 Inf
 2.51336729e+03
 9.41418637e+249
 1.44319447e+222
 1.91342445e+144
 2.81102929e+120
 7.39866873e+132
 1.57170209e+159
 6.73207700e+127
 4.79095175e+119
 3.75822282e+128
 3.99653273e+132
 7.29182868e+140
 1.56980748e+116
 1.68763142e+126
 3.81236728e+234
 1.31334932e+188
 2.70018552e+112
 2.72907258e+98
 9.60075513e+125
 1.37870810e+133
 3.63758450e+121
 1.35348419e+107
 2.98854763e+114
 3.82170043e+159
 7.67831237e+145
 7.36919874e+165
 3.65028278e+192
 8.58695370e+150
 2.92362625e+136
 1.13521018e+181
 1.12989236e+213
 5.24355920e+166
 4.08041873e+207
 Inf
 2.24342003e+156
 4.86130304e+115
 6.44078510e+181
 4.07185942e+183
 2.35188798e+134
 1.58573782e+128
 9.07309707e+143
 2.30420460e+177
 1.14695986e+181
 8.18943847e+124
 6.10536186e+115
 5.69308893e+161
 1.31694567e+144
 1.21711369e+124
 8.90357490e+111
 1.93515976e+111
 7.33242408e+148
 6.61844983e+133
 1.73272066e+122
 2.59458138e+193
 1.81332633e+270
 1.71818176e+197
 3.45056515e+171
 1.24701835e+157
 2.65391008e+105
 4.31151618e+88
 1.17443203e+100
 1.34470508e+107
 1.08195437e+94
 7.46697817e+75
 1.11869027e+86
 4.80190866e+113
 6.83131968e+104
 1.68209569e+134
 2.17102311e+121
 7.55287175e+98
 2.23207295e+97
 2.64958049e+112
 1.87411089e+133
 1.49712470e+104
 2.02354813e+93
 8.21729754e+104
 4.35629270e+134
 7.86095276e+172
 7.15649106e+157
 1.41139487e+125
 2.29749378e+148
 7.37392550e+165
 2.69299847e+112
 1.32633422e+122
 2.04176291e+179
 3.55282687e+133
 1.01876259e+111
 1.19981888e+110
 5.66886964e+171
 1.73925421e+165
 2.29196603e+110
 6.76355882e+107
 4.65146367e+131
 7.28994443e+140
 3.90216697e+105
 7.61392695e+113
 5.68852296e+161
 1.02735018e+235
 1.46970467e+162
 2.67749953e+158
 Inf
 8.21650951e+232
 3.00749812e+126
 3.36445447e+95
 2.45072145e+107
 7.61861791e+113
 2.24212910e+97
 3.83027191e+104
 3.77336069e+122
 2.56892668e+133
 3.34035477e+112
 8.86633868e+127
 1.47414417e+185
 6.75742516e+127
 5.54814750e+107
 5.97564011e+120
 4.18256764e+130
 1.01896855e+120
 5.92158378e+99
 1.15754049e+132
 4.75514715e+223
 2.04877269e+180
 5.30012423e+149
 2.31877974e+150
 1.63269351e+172
 6.42750591e+180
 4.30704243e+196
 1.98765609e+236
 6.48856191e+180
 6.14773955e+167
 2.66847481e+230
 Inf
 2.51327438e+03
 Inf
 Inf
 9.39405715e+259
 1.98175641e+166
 1.09829575e+196
 2.69136571e+250
 1.36354514e+198
 4.70656962e+172
 5.24111481e+126
 1.62116501e+172
 1.46394142e+234
 6.69090962e+133
 7.92742952e+119
 1.14118870e+135
 9.56882303e+151
 4.68194704e+120
 1.68385057e+120
 1.47993886e+163
 2.20616585e+239
 7.12170157e+192
 1.41027633e+131
 1.48399552e+143
 3.69248890e+241
 6.44061033e+228
 1.65448634e+172
 1.00909338e+168
 6.53272407e+201
 6.50107724e+179
 7.70471370e+145
 2.45117981e+203
 3.67647172e+192
 6.68074341e+164
 2.23899682e+183
 1.46009947e+161
 1.12293876e+153
 5.87882342e+153
 1.20006021e+166
 1.93120344e+194
 3.15451083e+154
 2.30965475e+162
 2.86071917e+214
 2.71737145e+191
 7.27614988e+255
 4.51227501e+184
 7.43196118e+190
 8.31585819e+266
 2.07969702e+190
 7.50020830e+256
 Inf
 Inf
 Inf
 Inf
 2.06874928e+180
 4.46142732e+199
 1.27605905e+273
 9.50026059e+162
 1.07707464e+147
 2.39761329e+149
 1.35309077e+154
 1.72932036e+150
 1.60136588e+189
 9.32229159e+205
 1.75604057e+142
 9.16572966e+160
 8.13215600e+184
 1.64471791e+172
 4.94257170e+152
 9.51104241e+129
 7.20589239e+170
 1.59379603e+296
 1.49565493e+215
 1.90337504e+208
 3.75841297e+241
 1.20225749e+203
 6.65310710e+173
 1.49973995e+160
 7.44832147e+168
 Inf
 2.31424417e+254
 9.13666476e+199
 3.44796390e+261
 8.35563895e+222
 1.45903401e+152
 1.58471242e+164
 3.07557454e+232
 1.92759704e+207
 1.18198062e+179
 5.84457816e+186
 Inf
 Inf
 1.61212919e+294
 2.03092051e+244
 1.93033510e+207
 1.45328407e+237
 9.02702155e+206
 3.92160042e+190
 2.30912145e+253
 9.13575917e+199
 3.86207529e+163
 6.09606776e+155
 1.28015959e+130
 1.81773290e+140
 1.88934734e+144
 1.72544440e+150
 5.03093207e+146
 9.59779315e+151
 7.14912680e+253
 3.72075788e+304
 3.69763963e+161
 5.04248303e+146
 4.76323648e+154
 2.47166614e+159
 2.59655599e+155
 3.27820997e+139
 6.48301440e+139
 1.31075196e+144
 1.21895172e+142
 7.37035440e+125
 7.41068187e+132
 3.43236562e+146
 1.72958493e+165
 4.29228854e+196
 Inf
 1.00626851e+205
 1.63683768e+129
 2.81370306e+224
 3.95869923e+237
 6.80765223e+197
 3.81609551e+178
 3.66998582e+140
 1.68002761e+197
 Inf
 Inf
 6.29361023e+277
 Inf
 2.51333690e+03
 2.51327621e+03
 2.51334672e+03
 2.51359867e+03
 2.51340945e+03
 2.51341836e+03
 2.51345775e+03
 2.51329032e+03
 Inf
 Inf
 Inf
 2.51332461e+03
 2.51331897e+03
 Inf
 2.51327756e+03
 2.51358633e+03
 2.51349062e+03
 2.51552495e+03
 2.52448016e+03
 2.52767799e+03
 2.52561827e+03
 2.52185299e+03
 2.51860833e+03
 2.51851060e+03
 2.51644128e+03
 2.51487600e+03
 2.51523919e+03
 2.51432483e+03
 2.51403788e+03
 2.51434119e+03
 2.51406945e+03
 2.51383908e+03
 2.51386473e+03
 2.51402059e+03
 2.51411808e+03
 2.51402919e+03
 2.51383460e+03
 2.51376823e+03
 2.51400690e+03
 2.51397321e+03
 2.51343626e+03
 2.50835845e+03
 2.51372717e+03
 2.51369301e+03
 2.51339452e+03
 2.51333992e+03
 2.51337096e+03
 2.51335217e+03
 2.51332965e+03
 2.51334726e+03
 2.51353224e+03
 2.51333394e+03
 Inf
 Inf
 2.51327420e+03
 2.51328720e+03
 Inf
 2.51330615e+03
 2.51369176e+03
 2.51336190e+03
 Inf
 2.51340366e+03
 2.51365165e+03
 2.51341686e+03
 2.51330906e+03
 2.51328143e+03
 2.51336487e+03
 2.51342992e+03
 2.51340437e+03
 2.51337471e+03
 2.51340726e+03
 2.51331939e+03
 2.51327830e+03
 2.51328249e+03
 2.51328697e+03
 2.51335107e+03
 2.51327422e+03
 6.99670346e+197
 3.86092990e+163
 1.49486662e+143
 6.37191119e+131
 4.31120202e+170
 1.39163412e+133
 2.48298326e+113
 2.36092468e+163
 2.74149817e+235
 Inf
 2.51328441e+03
 2.51327429e+03
 2.51330869e+03
 2.51330269e+03
 2.51327604e+03
 2.51332328e+03
 Inf
 3.42401401e+106
 1.19916659e+96
 1.78545719e+91
 8.60773006e+206
 2.51330759e+03
 Inf
 2.51327420e+03
 2.51329975e+03
 Inf
 Inf
 Inf
 2.51492415e+03
 2.51536709e+03
 2.51327419e+03
 2.51327843e+03
 2.51346289e+03
 2.51330615e+03
 2.40231599e+254
 1.71853613e+155
 3.64351675e+179
 4.57509991e+231
 2.80205159e+259
 5.73528636e+213
 2.71710470e+191
 2.61643977e+170
 1.97735192e+210
 1.36666034e+154
 5.75357305e+135
 3.26793963e+174
 8.27561741e+144
 3.93830479e+144
 1.32361110e+177
 6.14381517e+167
 2.85937692e+151
 5.62300359e+174
 5.58280810e+195
 8.47415789e+118
 1.26342636e+113
 1.61209417e+172
 2.18336988e+138
 9.04415925e+133
 1.70982076e+158
 1.14209155e+180
 2.31461400e+147
 9.81110509e+115
 2.63331934e+104
 6.34374230e+98
 2.45790900e+113
 1.39397618e+98
 2.44280267e+86
 3.35419837e+100
 9.53435781e+113
 7.45881941e+88
 8.95813836e+102
 7.25047414e+165
 3.39783014e+156
 1.09964770e+123
 7.40454562e+132
 9.75723775e+204
 2.78588591e+172
 1.73409362e+145
 6.39258216e+151
 2.29474646e+161
 2.57745327e+150
 6.53146321e+116
 2.31890053e+134
 1.40672916e+222
 8.63056697e+188
 3.47029965e+146
 5.85135891e+162
 3.36771378e+197
 1.36451872e+154
 8.57061625e+141
 1.55239442e+170
 3.36442407e+219
 9.95876022e+204
 1.46460562e+161
 5.71312369e+189
 7.01078979e+224
 1.64014993e+146
 5.69733061e+137
 2.02779423e+181
 6.67469828e+265
 7.53143160e+152
 4.70878355e+131
 1.07893909e+199
 5.66729842e+169
 4.72231498e+131
 1.84276455e+110
 6.31251671e+131
 4.47283824e+168
 5.77830311e+161
 1.22336609e+142
 6.46648482e+158
 3.87553919e+173
 1.23981561e+183
 7.16880487e+292
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.48198001e+295
 2.82445546e+259
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327514e+03
 Inf
 Inf
 2.51330039e+03
 Inf
 Inf
 Inf
 2.51327424e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327422e+03
 2.51327792e+03
 Inf
 Inf
 1.37775776e+263
 2.99265893e+267
 1.55969593e+294
 Inf
 Inf
 2.02426745e+288
 4.14032668e+208
 Inf
 Inf
 8.99464322e+298
 Inf
 Inf
 2.51370994e+03
 2.51390363e+03
 2.51327939e+03
 Inf
 Inf
 Inf
 Inf
 8.22952711e+232
 Inf
 Inf
 3.12538540e+189
 2.24982063e+183
 Inf
 1.06563704e+287
 2.06077838e+180
 3.80487597e+178
 Inf
 Inf
 Inf
 1.11826030e+196
 3.43712548e+222
 Inf
 Inf
 4.19971317e+208
 1.13577304e+213
 Inf
 5.51063852e+301
 2.28018405e+204
 3.25388194e+248
 2.57928264e+281
 7.30381397e+294
 5.10631633e+185
 2.07068479e+154
 4.28015088e+196
 6.57095352e+201
 2.29663063e+173
 1.44545230e+195
 3.75293595e+167
 3.39888474e+156
 1.72333706e+130
 1.60940333e+127
 8.47140557e+150
 1.55478736e+138
 2.26174742e+167
 5.41861851e+198
 1.18693645e+139
 4.40347642e+134
 6.05415631e+155
 6.11713813e+167
 2.06457033e+154
 5.03528816e+146
 5.79955914e+186
 4.57774796e+165
 2.14490715e+143
 2.71820634e+185
 7.17362170e+292
 1.35118363e+177
 5.29748216e+149
 4.53435749e+188
 2.95311241e+267
 5.85046022e+244
 3.81538815e+194
 2.25174064e+183
 1.01109840e+168
 4.17475225e+135
 2.49447232e+145
 5.54051326e+195
 2.29460775e+173
 3.73879296e+187
 9.20504955e+216
 1.48205571e+176
 5.72454392e+144
 4.23730406e+125
 7.56576183e+176
 Inf
 Inf
 9.39815916e+160
 1.15233786e+135
 8.36091925e+138
 2.17887582e+120
 3.09942278e+113
 1.97474100e+116
 4.69136595e+121
 4.74936678e+114
 2.98567246e+135
 8.49228367e+150
 4.81422419e+119
 1.00858230e+133
 3.84785181e+173
 1.56387187e+170
 1.36086391e+193
 1.47713929e+176
 5.46078782e+123
 7.33775936e+125
 7.77324611e+136
 3.12453467e+186
 1.05424511e+268
 1.46461916e+195
 7.40947044e+183
 7.06451979e+192
 3.74683766e+241
 3.92410490e+173
 2.40126308e+163
 1.48988660e+185
 4.18544181e+158
 2.76310933e+172
 2.58262678e+150
 2.80337991e+165
 2.16881069e+196
 4.17496779e+209
 1.35034991e+184
 1.56339175e+138
 2.05092634e+154
 9.35650578e+162
 4.55796441e+165
 5.04648991e+212
 1.90268970e+208
 5.75100331e+137
 1.91238983e+157
 Inf
 1.14058917e+153
 1.96458946e+98
 1.56678950e+128
 9.12721055e+160
 2.97760909e+141
 1.51948671e+114
 1.74460033e+93
 3.58897970e+121
 5.03851090e+142
 2.84932676e+127
 3.76668019e+128
 2.83447596e+108
 4.60481429e+111
 Inf
 2.51328742e+03
 1.02592172e+164
 4.06551714e+136
 1.20898940e+129
 4.38675678e+143
 9.10981158e+143
 1.06872513e+165
 3.88859522e+153
 4.16310141e+123
 6.42987690e+158
 6.09031742e+155
 8.66649408e+131
 1.90911996e+157
 7.91020897e+172
 1.07894634e+147
 1.69161384e+153
 2.85117012e+151
 1.72732222e+145
 8.03391135e+156
 4.50391279e+168
 4.41165393e+176
 Inf
 Inf
 2.51327452e+03
 2.51329032e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328178e+03
 2.51330236e+03
 2.51327690e+03
 Inf
 3.60333798e+291
 7.16506470e+177
 6.10723814e+277
 Inf
 Inf
 6.64018490e+214
 Inf
 3.76898449e+297
 3.99275146e+237
 1.61985176e+296
 Inf
 2.51327460e+03
 2.51327548e+03
 2.51329636e+03
 2.51333992e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327435e+03
 2.51327479e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327954e+03
 2.51327911e+03
 Inf
 Inf
 2.51329696e+03
 2.51331526e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51332153e+03
 2.51335899e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.01001024e+234
 5.00862336e+147
 1.40916460e+246
 7.13870565e+177
 6.41037563e+131
 4.70054308e+273
 2.51327527e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.45922353e+293
 1.75603947e+150
 1.33477157e+184
 2.17005010e+178
 9.39653635e+169
 2.97595200e+242
 4.34672060e+196
 2.88282798e+214
 1.37526598e+269
 4.83977388e+154
 1.69447943e+153
 1.82348078e+200
 7.44574633e+165
 3.29377204e+174
 1.61081933e+189
 1.08690001e+190
 4.07793518e+183
 1.02182602e+133
 1.21556245e+142
 5.60272342e+169
 9.25570256e+185
 Inf
 Inf
 3.84889847e+194
 8.54948971e+175
 1.41392575e+191
 1.19345864e+203
 6.58964594e+181
 4.91762917e+113
 2.71822390e+124
 3.83634603e+159
 7.68696643e+130
 3.20456424e+125
 1.51421203e+114
 2.89386786e+119
 2.54533840e+131
 9.70733868e+125
 1.67484755e+121
 5.97700642e+114
 7.38486829e+132
 2.29632593e+162
 2.04301853e+169
 4.41225245e+176
 4.94624673e+152
 2.97284272e+141
 6.90863377e+126
 9.98373081e+99
 1.24646657e+106
 5.73354060e+160
 5.14706805e+191
 4.18951350e+158
 5.01556526e+185
 7.62680157e+200
 5.80583675e+171
 3.05644939e+138
 1.55082392e+170
 4.16788798e+246
 4.21508074e+158
 8.44080309e+122
 2.16993130e+135
 3.00362245e+135
 3.00402588e+135
 2.28482828e+161
 2.10844121e+217
 2.42620432e+286
 4.64855737e+231
 1.72234679e+134
 2.74626832e+117
 4.79593134e+133
 6.10946976e+163
 4.55089434e+188
 5.25376074e+156
 8.73739992e+207
 1.92096220e+207
 1.13087141e+153
 5.08673920e+193
 5.18216648e+191
 1.41008873e+131
 1.50092096e+118
 2.16019193e+129
 9.27175352e+155
 1.09954321e+123
 4.72264494e+105
 2.88442417e+129
 1.62275928e+172
 2.98101467e+157
 4.16588196e+123
 1.12988821e+181
 3.23695994e+248
 7.14030925e+177
 9.90999385e+163
 5.93649078e+221
 3.47701656e+291
 5.65041248e+233
 1.33597034e+285
 1.02847336e+306
 2.25683241e+239
 1.00366254e+194
 5.68279495e+213
 2.28543964e+254
 1.20393025e+203
 1.70453915e+197
 1.05786639e+242
 2.55089317e+228
 1.05181004e+226
 2.07088518e+190
 3.66853829e+192
 3.43476758e+222
 3.42153271e+169
 9.15724760e+143
 2.29026770e+161
 Inf
 Inf
 1.47122210e+246
 4.85517508e+273
 Inf
 2.02830514e+236
 Inf
 Inf
 2.27580990e+199
 5.87293082e+160
 5.73346006e+244
 Inf
 Inf
 Inf
 4.95181102e+223
 1.73715269e+158
 1.31605980e+144
 1.59447376e+132
 2.13879205e+127
 4.22029671e+125
 1.84474290e+125
 2.48696292e+145
 2.33679635e+134
 1.91806301e+118
 4.06658055e+164
 6.34635118e+228
 1.73146980e+225
 2.54497435e+228
 4.03302117e+227
 3.06101489e+189
 2.29236871e+173
 5.73711760e+150
 4.76780496e+154
 2.39202720e+163
 6.15546711e+163
 2.76628804e+172
 1.34574625e+202
 Inf
 1.19542840e+224
 1.00183166e+194
 3.78930623e+194
 5.75526767e+150
 1.97823573e+244
 2.51328061e+03
 Inf
 4.16882054e+276
 Inf
 2.51327456e+03
 2.51327429e+03
 Inf
 Inf
 Inf
 Inf
 2.12517872e+205
 1.90048458e+208
 Inf
 Inf
 Inf
 6.28272237e+218
 2.12966878e+182
 7.16717195e+292
 1.34685380e+285
 1.09743393e+187
 2.70891118e+198
 2.78467438e+259
 1.74273437e+158
 2.75857204e+117
 4.66748312e+131
 4.24777829e+151
 1.19944269e+166
 4.12192612e+101
 1.00536128e+91
 2.08287687e+128
 4.58669022e+139
 9.48565623e+129
 4.38790700e+143
 2.36045924e+146
 5.02651512e+146
 3.87342520e+153
 1.92024873e+174
 8.53066486e+196
 2.58132533e+153
 1.70277781e+126
 2.16192923e+138
 2.79429533e+165
 2.09189707e+211
 Inf
 8.24886574e+232
 6.92534621e+182
 Inf
 Inf
 2.93325610e+224
 1.92505622e+151
 9.18669129e+160
 Inf
 Inf
 4.50774484e+220
 2.58776944e+258
 1.34111248e+285
 1.43352264e+191
 2.70860757e+191
 5.97511748e+221
 Inf
 Inf
 Inf
 1.19887254e+224
 Inf
 2.93344354e+307
 5.67274607e+195
 4.58392760e+165
 6.10929828e+239
 2.47683111e+271
 2.08869502e+154
 2.20301084e+156
 2.51349998e+03
 2.51659897e+03
 2.51867309e+03
 2.51960664e+03
 2.51708303e+03
 2.51505701e+03
 2.51395838e+03
 2.51330039e+03
 2.51329057e+03
 2.51340581e+03
 2.51327465e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327452e+03
 2.51334043e+03
 2.51327429e+03
 Inf
 Inf
 2.51329462e+03
 2.51328213e+03
 Inf
 Inf
 2.51329434e+03
 2.51330440e+03
 Inf
 2.51327690e+03
 2.51331689e+03
 Inf
 2.68517352e+193
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327429e+03
 2.51328630e+03
 2.51366025e+03
 2.51389731e+03
 2.51330981e+03
 Inf
 Inf
 6.42519866e+280
 6.51101992e+226
 Inf
 Inf
 2.02854460e+236
 1.57507713e+277
 1.62938252e+296
 3.95090573e+234
 3.37879059e+215
 Inf
 Inf
 1.87255750e+274
 2.09822750e+179
 1.69952821e+290
 2.03017475e+244
 4.73225624e+172
 5.75371317e+244
 Inf
 Inf
 7.51877529e+235
 3.92460656e+234
 1.33616893e+285
 Inf
 6.66174104e+201
 1.32744749e+285
 Inf
 Inf
 Inf
 Inf
 Inf
 2.04198713e+187
 Inf
 Inf
 Inf
 1.59626567e+294
 Inf
 2.51328697e+03
 Inf
 7.19311345e+274
 1.73154891e+290
 Inf
 Inf
 2.51327701e+03
 2.51328565e+03
 2.51327856e+03
 2.51328720e+03
 Inf
 Inf
 2.51327520e+03
 Inf
 1.40428016e+193
 8.01456516e+137
 2.21986942e+204
 1.09001942e+248
 2.45107420e+243
 Inf
 Inf
 1.48016834e+195
 7.44559379e+190
 7.18463634e+294
 Inf
 Inf
 Inf
 5.47984403e+301
 8.81198458e+288
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51353731e+03
 2.51397493e+03
 2.51389256e+03
 2.51435356e+03
 2.51462266e+03
 2.51553692e+03
 2.51623603e+03
 2.51546860e+03
 2.51405710e+03
 2.51367271e+03
 2.51435149e+03
 2.51557599e+03
 2.51451184e+03
 2.51360780e+03
 2.51425076e+03
 2.51491653e+03
 2.51414012e+03
 2.51396996e+03
 2.51501738e+03
 2.51516503e+03
 2.51401715e+03
 2.51365410e+03
 2.51381103e+03
 2.50488244e+03
 2.51353833e+03
 2.51355597e+03
 2.51340799e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51345860e+03
 2.51428248e+03
 2.51558808e+03
 2.51606749e+03
 2.51562748e+03
 2.51513212e+03
 2.51485344e+03
 2.51518943e+03
 2.51503048e+03
 2.51516747e+03
 2.51548045e+03
 2.51616116e+03
 2.51711034e+03
 2.51608390e+03
 2.51568285e+03
 2.51556704e+03
 2.51588108e+03
 2.51553986e+03
 2.51540439e+03
 2.51611737e+03
 2.51605012e+03
 2.51670486e+03
 2.51642699e+03
 2.51611742e+03
 2.51672697e+03
 2.51684667e+03
 2.51535525e+03
 2.51515676e+03
 2.51499126e+03
 2.51417564e+03
 2.51438893e+03
 2.51425666e+03
 2.51444207e+03
 2.51446164e+03
 2.51439317e+03
 2.51440789e+03
 2.51391309e+03
 2.51395338e+03
 2.51450082e+03
 2.51496531e+03
 2.51441430e+03
 2.51418133e+03
 2.51497562e+03
 2.51471889e+03
 2.51387706e+03
 2.51350664e+03
 2.51368663e+03
 2.51403266e+03
 2.51417567e+03
 2.51450303e+03
 2.51383460e+03
 2.51344273e+03
 2.51358411e+03
 2.51389417e+03
 2.51423124e+03
 2.51396496e+03
 2.51366149e+03
 2.51376263e+03
 2.51398662e+03
 2.51404138e+03
 2.51406771e+03
 2.51479646e+03
 2.51597834e+03
 2.51518116e+03
 2.51422929e+03
 2.51397494e+03
 2.51476230e+03
 2.51505973e+03
 2.51418321e+03
 2.51420967e+03
 2.51349248e+03
 2.51338506e+03
 2.51422733e+03
 2.51433316e+03
 2.51419652e+03
 2.51362879e+03
 2.51336073e+03
 2.51356988e+03
 2.51329548e+03
 Inf
 3.75391871e+61
 1.48486174e+108
 2.51628406e+03
 2.51564215e+03
 2.51453632e+03
 2.51530107e+03
 2.51587155e+03
 2.51474054e+03
 2.51536381e+03
 2.51683878e+03
 2.51633234e+03
 2.51543637e+03
 2.51479158e+03
 2.51452297e+03
 2.51402748e+03
 2.51334459e+03
 2.51344932e+03
 2.51400861e+03
 2.51383161e+03
 2.51339315e+03
 2.51355917e+03
 2.51381688e+03
 2.51363235e+03
 2.51370862e+03
 2.51409089e+03
 2.51420422e+03
 2.51362643e+03
 2.51348511e+03
 2.51378513e+03
 2.51452517e+03
 2.51404307e+03
 2.51328267e+03
 Inf
 2.51332871e+03
 2.51330169e+03
 2.51327427e+03
 2.51330039e+03
 2.51327631e+03
 2.51329636e+03
 2.51363474e+03
 2.51373661e+03
 2.51386325e+03
 2.51385104e+03
 2.51381396e+03
 2.51372317e+03
 2.51423707e+03
 2.51399502e+03
 2.51357097e+03
 2.51432076e+03
 2.51456785e+03
 2.51386630e+03
 2.51367020e+03
 2.51397658e+03
 2.51398685e+03
 2.51395509e+03
 2.51409989e+03
 2.51425079e+03
 2.51395508e+03
 2.51372584e+03
 2.51375155e+03
 2.51435977e+03
 2.51460886e+03
 2.51378655e+03
 2.51382859e+03
 2.51420995e+03
 2.51453410e+03
 2.51395181e+03
 2.51368664e+03
 2.51364922e+03
 2.51342217e+03
 2.51334834e+03
 2.51342524e+03
 2.51416435e+03
 2.51390831e+03
 2.51347163e+03
 2.51381395e+03
 2.51386176e+03
 2.51384806e+03
 2.51437641e+03
 2.51388947e+03
 2.51346117e+03
 Inf
 Inf
 Inf
 2.51327501e+03
 2.51328178e+03
 Inf
 2.51333640e+03
 2.51341988e+03
 4.32502070e+83
 6.03326653e+80
 2.51328908e+03
 2.51329135e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328587e+03
 2.51329378e+03
 2.51338705e+03
 2.51365902e+03
 2.51347697e+03
 2.51336250e+03
 2.51350092e+03
 7.01373646e+127
 4.99696760e+148
 2.51372051e+03
 2.51365770e+03
 2.51343387e+03
 2.51342141e+03
 2.51359303e+03
 2.51369305e+03
 2.51362997e+03
 2.51359416e+03
 2.51366521e+03
 2.51360094e+03
 2.51359992e+03
 2.51370732e+03
 2.51349528e+03
 2.51363593e+03
 2.51378513e+03
 2.51365532e+03
 2.51357314e+03
 2.51339042e+03
 2.51331249e+03
 2.51334406e+03
 2.51348057e+03
 2.51368409e+03
 2.51387552e+03
 2.51363116e+03
 2.51352821e+03
 2.51372583e+03
 2.51391788e+03
 2.51351535e+03
 Inf
 2.51334198e+03
 2.51400861e+03
 2.51402271e+03
 2.51374884e+03
 2.51370472e+03
 2.51355811e+03
 2.51345016e+03
 2.51333992e+03
 Inf
 2.51328608e+03
 2.51339521e+03
 Inf
 Inf
 Inf
 2.51329696e+03
 2.51332871e+03
 Inf
 Inf
 2.51327843e+03
 Inf
 Inf
 2.51331730e+03
 2.51328323e+03
 Inf
 2.51327429e+03
 2.51327474e+03
 2.51375848e+03
 2.51368151e+03
 Inf
 2.51331772e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327548e+03
 2.51328286e+03
 2.51328765e+03
 Inf
 Inf
 Inf
 Inf
 2.51327631e+03
 Inf
 Inf
 Inf
 2.35780919e+255
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327507e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327640e+03
 2.51328502e+03
 Inf
 Inf
 Inf
 1.44548945e+303
 2.71540100e+275
 Inf
 2.51327548e+03
 2.51333492e+03
 2.51327435e+03
 Inf
 Inf
 2.66660440e+258
 7.74825100e+290
 Inf
 2.51328304e+03
 Inf
 Inf
 Inf
 2.51327701e+03
 2.51327540e+03
 Inf
 Inf
 Inf
 2.51327456e+03
 Inf
 Inf
 Inf
 8.60989222e+266
 Inf
 2.51331018e+03
 2.51329787e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.05315733e+244
 Inf
 Inf
 Inf
 2.51328110e+03
 2.51327501e+03
 Inf
 Inf
 Inf
 Inf
 2.51329787e+03
 2.51327429e+03
 Inf
 2.51332779e+03
 2.51335107e+03
 2.51333201e+03
 2.51330440e+03
 2.51327555e+03
 Inf
 Inf
 2.51331689e+03
 2.51333346e+03
 Inf
 Inf
 Inf
 1.08330119e+230
 9.11166351e+199
 2.51331366e+03
 2.51336191e+03
 Inf
 Inf
 2.51327998e+03
 Inf
 7.51598473e+294
 Inf
 2.51328231e+03
 2.51330615e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329578e+03
 Inf
 1.84990714e+283
 Inf
 Inf
 2.51327604e+03
 Inf
 Inf
 1.04298821e+261
 Inf
 1.45450982e+246
 Inf
 2.51336548e+03
 Inf
 1.38183706e+202
 6.16287776e+239
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328697e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327429e+03
 Inf
 2.52688752e+278
 2.30635684e+254
 Inf
 2.51327422e+03
 Inf
 2.51329911e+03
 2.51331288e+03
 Inf
 1.86406772e+270
 Inf
 2.51327432e+03
 Inf
 2.51335162e+03
 2.51418132e+03
 2.51468811e+03
 2.51427051e+03
 2.51419085e+03
 2.51444422e+03
 2.51459967e+03
 2.51429850e+03
 2.51395509e+03
 2.51437849e+03
 2.51481370e+03
 2.51444852e+03
 2.51385110e+03
 2.51393227e+03
 2.51466217e+03
 2.51418509e+03
 2.51365287e+03
 2.51377945e+03
 2.51380960e+03
 2.51366396e+03
 2.51379944e+03
 2.51376541e+03
 2.51353629e+03
 2.51352825e+03
 2.51356989e+03
 2.51377664e+03
 2.51421766e+03
 2.51386019e+03
 2.51367271e+03
 2.51431061e+03
 2.51428609e+03
 2.51385715e+03
 2.51376963e+03
 2.51385867e+03
 2.51387094e+03
 2.51369691e+03
 2.51384206e+03
 2.51433097e+03
 2.51377101e+03
 2.51383159e+03
 2.51486091e+03
 2.51454968e+03
 2.51447677e+03
 2.51420419e+03
 2.51414944e+03
 2.51454302e+03
 2.51415312e+03
 2.51441005e+03
 2.51446158e+03
 2.51389103e+03
 2.51395340e+03
 2.51452962e+03
 2.51450047e+03
 2.51416247e+03
 2.51495493e+03
 2.51488073e+03
 2.51446801e+03
 2.51449400e+03
 2.51390359e+03
 2.51417562e+03
 2.51456102e+03
 2.51434530e+03
 2.51430461e+03
 2.51494722e+03
 2.51553397e+03
 2.51506227e+03
 2.51475023e+03
 2.51420036e+03
 2.51389574e+03
 2.51493694e+03
 2.51593603e+03
 2.51469989e+03
 2.51433099e+03
 2.51455422e+03
 2.51418131e+03
 2.51342602e+03
 2.51357640e+03
 2.51343228e+03
 2.51327441e+03
 2.51331813e+03
 Inf
 Inf
 2.51347518e+03
 2.51336487e+03
 Inf
 Inf
 2.51329787e+03
 2.51330303e+03
 2.51336368e+03
 2.51331486e+03
 2.51336309e+03
 2.51343228e+03
 Inf
 2.60686853e+251
 1.17462457e+262
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328110e+03
 2.51327427e+03
 2.51327427e+03
 2.51327711e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.52207211e+291
 Inf
 Inf
 Inf
 Inf
 2.51327640e+03
 2.51466921e+03
 2.51982331e+03
 2.52074038e+03
 2.52053247e+03
 2.51824272e+03
 2.51544222e+03
 2.51441433e+03
 2.51415316e+03
 2.51368281e+03
 2.51351243e+03
 2.51336428e+03
 2.51329268e+03
 2.51330202e+03
 Inf
 Inf
 2.51328045e+03
 2.51327756e+03
 Inf
 Inf