Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328932e+03
 2.51338112e+03
 2.51339522e+03
 2.51362172e+03
 2.51351535e+03
 2.51350955e+03
 2.51358301e+03
 2.51328957e+03
 2.51331813e+03
 2.51368919e+03
 2.51387553e+03
 2.51346031e+03
 2.51341686e+03
 2.51356881e+03
 2.51347518e+03
 2.51347077e+03
 2.51344601e+03
 2.51357314e+03
 2.51342835e+03
 2.51340152e+03
 2.51362761e+03
 2.51356236e+03
 2.51343867e+03
 2.51360550e+03
 2.51392748e+03
 2.51352921e+03
 2.51332110e+03
 2.51327563e+03
 2.51335841e+03
 2.51369305e+03
 2.51356880e+03
 2.51347075e+03
 2.51354450e+03
 2.51361938e+03
 2.51386172e+03
 2.51367270e+03
 2.51342217e+03
 2.51353223e+03
 2.51338705e+03
 2.51333890e+03
 2.51331018e+03
 2.51335107e+03
 2.51332417e+03
 2.51331730e+03
 2.51389416e+03
 2.51418894e+03
 2.51432691e+03
 2.51517298e+03
 2.51499891e+03
 2.51443564e+03
 2.51396828e+03
 2.51392111e+03
 2.51433505e+03
 2.51447895e+03
 2.51427449e+03
 2.51372317e+03
 2.51338772e+03
 2.50921001e+03
 2.51356881e+03
 2.51375710e+03
 2.51386325e+03
 2.51385256e+03
 2.51396332e+03
 2.51419653e+03
 2.51386019e+03
 2.51375297e+03
 2.51453631e+03
 2.51500172e+03
 2.51472371e+03
 2.51463889e+03
 2.51475018e+03
 2.51497564e+03
 2.51491640e+03
 2.51481122e+03
 2.51385715e+03
 2.51333740e+03
 2.51330981e+03
 2.51335217e+03
 2.51392748e+03
 2.51368280e+03
 2.51330906e+03
 2.51342913e+03
 2.51358744e+03
 2.51348511e+03
 2.51337346e+03
 2.51335498e+03
 2.51344191e+03
 2.51341686e+03
 2.51340438e+03
 2.51365655e+03
 2.51362995e+03
 2.51336668e+03
 2.51333059e+03
 2.51356343e+03
 2.51353222e+03
 2.51366149e+03
 2.51362406e+03
 2.51336548e+03
 2.51337157e+03
 2.51355389e+03
 2.51360666e+03
 2.51343228e+03
 2.51343380e+03
 2.51359641e+03
 2.51377242e+03
 2.51377819e+03
 2.51337853e+03
 2.51328982e+03
 2.51350377e+03
 2.51386172e+03
 2.51328286e+03
 Inf
 2.51328421e+03
 2.51329322e+03
 Inf
 Inf
 2.51335611e+03
 2.51327968e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.00171116e+249
 Inf
 2.51328286e+03
 Inf
 Inf
 2.51327429e+03
 2.51329187e+03
 Inf
 Inf
 2.51327490e+03
 2.51329378e+03
 Inf
 2.51327479e+03
 2.51339940e+03
 2.51327817e+03
 Inf
 2.51330759e+03
 2.51333394e+03
 Inf
 Inf
 2.51328143e+03
 2.51333541e+03
 2.51331982e+03
 2.51327595e+03
 2.51331366e+03
 2.51329696e+03
 2.51327792e+03
 Inf
 2.51330039e+03
 2.51344191e+03
 2.51328045e+03
 2.51327495e+03
 2.51332596e+03
 2.51327469e+03
 2.51327817e+03
 2.51334672e+03
 2.51346549e+03
 2.51334888e+03
 2.51327419e+03
 Inf
 2.51328342e+03
 2.51328213e+03
 Inf
 2.51327595e+03
 2.51340654e+03
 Inf
 Inf
 Inf
 2.51333012e+03
 2.51327817e+03
 Inf
 2.51327456e+03
 2.51340223e+03
 2.51334725e+03
 Inf
 Inf
 Inf
 Inf
 2.51327469e+03
 2.51378655e+03
 2.51360549e+03
 2.51334888e+03
 2.51344932e+03
 2.51345025e+03
 2.51328110e+03
 2.51328401e+03
 2.51341761e+03
 2.51392427e+03
 2.51401037e+03
 2.51397324e+03
 2.51411259e+03
 2.51418323e+03
 2.51400180e+03
 2.51387244e+03
 2.51399503e+03
 2.51415500e+03
 2.51369433e+03
 2.51337158e+03
 2.51405358e+03
 2.51463423e+03
 2.51461724e+03
 2.51396002e+03
 2.51366646e+03
 2.51387397e+03
 2.51350282e+03
 2.51383311e+03
 2.51457005e+03
 2.51433092e+03
 2.51414941e+03
 2.51419267e+03
 2.51401887e+03
 2.51376403e+03
 2.51383608e+03
 2.51400181e+03
 2.51415687e+03
 2.51382718e+03
 2.51373795e+03
 2.51393554e+03
 2.51360894e+03
 2.51351927e+03
 2.51381834e+03
 2.51355599e+03
 2.51335668e+03
 2.51343466e+03
 2.51343709e+03
 2.51331366e+03
 Inf
 Inf
 Inf
 2.51327495e+03
 2.51336073e+03
 2.51327604e+03
 Inf
 2.51332284e+03
 2.51329007e+03
 2.51328652e+03
 2.51333590e+03
 Inf
 Inf
 Inf
 2.51328213e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327420e+03
 Inf
 Inf
 Inf
 2.51327897e+03
 Inf
 Inf
 2.51328461e+03
 2.51335052e+03
 Inf
 Inf
 2.51331327e+03
 2.51337918e+03
 2.51356023e+03
 2.51389104e+03
 2.51434739e+03
 2.51406414e+03
 2.51371126e+03
 2.51439107e+03
 2.51540144e+03
 2.51458136e+03
 2.51363833e+03
 2.51337598e+03
 2.51345860e+03
 2.51341611e+03
 2.51332506e+03
 2.51352422e+03
 2.51359981e+03
 2.51332687e+03
 2.51329818e+03
 2.51343070e+03
 2.51340798e+03
 2.51336190e+03
 2.51346462e+03
 2.51341239e+03
 2.51332240e+03
 2.51335217e+03
 2.51330544e+03
 2.51337853e+03
 2.51347518e+03
 2.51330544e+03
 2.51341837e+03
 2.51340581e+03
 2.51327954e+03
 2.51328093e+03
 2.51336789e+03
 2.51351731e+03
 2.51339246e+03
 2.51332733e+03
 2.51341536e+03
 2.51339729e+03
 2.51333590e+03
 2.51334833e+03
 2.51329787e+03
 2.51327650e+03
 2.51330615e+03
 2.51353325e+03
 2.51362173e+03
 2.51334888e+03
 Inf
 2.51327441e+03
 2.51328401e+03
 Inf
 Inf
 2.51327701e+03
 2.51535239e+03
 2.51901069e+03
 2.51770377e+03
 2.51813656e+03
 2.51960123e+03
 2.52008590e+03
 2.51834514e+03
 2.51745674e+03
 2.51699446e+03
 2.51619505e+03
 2.51575120e+03
 2.51599787e+03
 2.51631175e+03
 2.51564585e+03
 2.51555515e+03
 2.51581093e+03
 2.51534951e+03
 2.51485843e+03
 2.51543340e+03
 2.51563376e+03
 2.51474778e+03
 2.51464129e+03
 2.51525326e+03
 2.51570447e+03
 2.51496267e+03
 2.51426855e+03
 2.51508361e+03
 2.51580784e+03
 2.51502261e+03
 2.51470708e+03
 2.51517296e+03
 2.51470226e+03
 2.51421380e+03
 2.51475744e+03
 2.51500958e+03
 2.51465747e+03
 2.51452298e+03
 2.51543050e+03
 2.51568602e+03
 2.51492925e+03
 2.51481133e+03
 2.51541592e+03
 2.51538050e+03
 2.51427848e+03
 2.51505430e+03
 2.51629790e+03
 2.51550703e+03
 2.51482854e+03
 2.51535235e+03
 2.51601444e+03
 2.51488100e+03
 2.51457009e+03
 2.51505697e+03
 2.51490624e+03
 2.51462957e+03
 2.51517296e+03
 2.51595550e+03
 2.51555181e+03
 2.51468570e+03
 2.51424491e+03
 2.51439524e+03
 2.51455876e+03
 2.51479402e+03
 2.51514298e+03
 2.51506483e+03
 2.51463884e+03
 2.51416999e+03
 2.51418869e+03
 2.51395017e+03
 2.51408728e+03
 2.51463884e+03
 2.51471912e+03
 2.51441006e+03
 2.51423124e+03
 2.51424079e+03
 2.51443778e+03
 2.51496528e+03
 2.51456550e+03
 2.51468800e+03
 2.51501215e+03
 2.51375986e+03
 2.51331855e+03
 2.51334997e+03
 2.51332733e+03
 2.51334094e+03
 2.51331171e+03
 2.51327520e+03
 2.51327438e+03
 2.51333106e+03
 2.51331171e+03
 2.51327733e+03
 2.51341387e+03
 2.51369562e+03
 2.51356023e+03
 2.51333992e+03
 2.51336368e+03
 2.51345183e+03
 2.51341686e+03
 2.51356989e+03
 2.51397993e+03
 2.51355494e+03
 2.51333346e+03
 2.51352223e+03
 2.51371126e+03
 2.51363116e+03
 2.51391946e+03
 2.51408194e+03
 2.51367648e+03
 2.51353123e+03
 2.51349341e+03
 2.51365043e+03
 2.51392427e+03
 2.51360322e+03
 2.51360112e+03
 2.51415873e+03
 2.51391945e+03
 2.51343070e+03
 2.51340872e+03
 2.51351437e+03
 2.51341018e+03
 2.51346987e+03
 2.51379800e+03
 2.51386023e+03
 2.51369176e+03
 2.51375847e+03
 2.51404658e+03
 2.51416813e+03
 2.51407478e+03
 2.51396497e+03
 2.51413642e+03
 2.51429450e+03
 2.51372317e+03
 2.51345099e+03
 2.51383311e+03
 2.51448109e+03
 2.51363474e+03
 2.51330007e+03
 2.51331607e+03
 2.51332328e+03
 2.51333992e+03
 2.51334618e+03
 2.51342992e+03
 2.51336368e+03
 2.51336486e+03
 2.51371125e+03
 2.51367770e+03
 2.51347966e+03
 2.51355811e+03
 2.51375159e+03
 2.51411990e+03
 2.51395343e+03
 2.51416434e+03
 2.51464117e+03
 2.51452065e+03
 2.51412722e+03
 2.51373389e+03
 2.51386476e+03
 2.51453408e+03
 2.51454820e+03
 2.51426260e+03
 2.51394528e+03
 2.51426259e+03
 2.51443139e+03
 2.51413642e+03
 2.51478909e+03
 2.51498612e+03
 2.51473332e+03
 2.51415127e+03
 2.51453405e+03
 2.51486094e+03
 2.51424488e+03
 2.51395018e+03
 2.51388172e+03
 2.51395344e+03
 2.51416060e+03
 2.51410529e+03
 2.51413272e+03
 2.51636740e+03
 2.51714575e+03
 2.51487094e+03
 2.51390360e+03
 2.51337283e+03
 2.51338372e+03
 2.51396167e+03
 2.51397197e+03
 2.51357860e+03
 2.51354971e+03
 2.51417375e+03
 2.51450969e+03
 2.51408908e+03
 2.51393717e+03
 2.51371785e+03
 2.51375708e+03
 2.51408550e+03
 2.51473816e+03
 2.51472038e+03
 2.51400011e+03
 2.51368792e+03
 2.51390201e+03
 2.51444209e+03
 2.51424682e+03
 2.51405008e+03
 2.51403274e+03
 2.51393392e+03
 2.51426458e+03
 2.51409627e+03
 2.51428046e+03
 2.51431474e+03
 2.51350473e+03
 2.51338772e+03
 2.51358411e+03
 2.51388481e+03
 2.51406948e+03
 2.51370732e+03
 2.51378086e+03
 2.51396994e+03
 2.51338439e+03
 2.51355811e+03
 2.51443350e+03
 2.51427840e+03
 2.51445499e+03
 2.51479157e+03
 2.51407301e+03
 2.51414375e+03
 2.51530962e+03
 2.51551331e+03
 2.51472135e+03
 2.51473102e+03
 2.51484343e+03
 2.51522541e+03
 2.51472373e+03
 2.51398830e+03
 2.51478909e+03
 2.51545986e+03
 2.51505429e+03
 2.51496020e+03
 2.51543927e+03
 2.51586513e+03
 2.51450082e+03
 2.51405888e+03
 2.51505432e+03
 2.51555199e+03
 2.51476958e+03
 2.51432078e+03
 2.51465980e+03
 2.51445067e+03
 2.51431266e+03
 2.51466450e+03
 2.51485345e+03
 2.51496790e+03
 2.51499395e+03
 2.51418890e+03
 2.51414211e+03
 2.51396662e+03
 2.51351243e+03
 2.51365409e+03
 2.51412906e+03
 2.51422352e+03
 2.51390992e+03
 2.51382130e+03
 2.51368536e+03
 2.51351243e+03
 2.51350959e+03
 2.51352026e+03
 2.51358190e+03
 2.51353224e+03
 2.51334406e+03
 2.51356236e+03
 2.51351242e+03
 2.51348420e+03
 2.51382275e+03
 2.51390520e+03
 2.51382275e+03
 2.51345945e+03
 2.51332871e+03
 2.51333789e+03
 2.51339800e+03
 2.51335107e+03
 2.51332733e+03
 2.51334779e+03
 2.51327438e+03
 Inf
 2.51344932e+03
 2.51336789e+03
 2.51331056e+03
 2.51364194e+03
 2.51384960e+03
 2.51372183e+03
 2.51370997e+03
 2.51378087e+03
 2.51348057e+03
 2.51332965e+03
 2.51355599e+03
 2.51391151e+03
 2.51386167e+03
 2.51354657e+03
 2.51345351e+03
 2.51376542e+03
 2.51354865e+03
 2.51333249e+03
 2.51346899e+03
 2.51359303e+03
 2.51340010e+03
 2.51343867e+03
 2.51350473e+03
 2.51334043e+03
 2.51340010e+03
 2.51352323e+03
 2.51361705e+03
 2.51405359e+03
 2.51556392e+03
 2.51436183e+03
 2.51345351e+03
 2.51372583e+03
 2.51352422e+03
 2.51354969e+03
 2.51352223e+03
 2.51334406e+03
 2.51330007e+03
 2.51336309e+03
 2.51369433e+03
 2.51379371e+03
 2.51352223e+03
 2.51360435e+03
 2.51362291e+03
 2.51340223e+03
 2.51339522e+03
 2.51348970e+03
 2.51337345e+03
 2.51330981e+03
 2.51335217e+03
 2.51329911e+03
 2.51328481e+03
 2.51337035e+03
 2.51363355e+03
 2.51372853e+03
 2.51356343e+03
 2.51355391e+03
 2.51373389e+03
 2.51376267e+03
 2.51335725e+03
 2.51334460e+03
 2.51363474e+03
 2.51331689e+03
 Inf
 Inf
 2.51342370e+03
 2.51332641e+03
 Inf
 Inf
 1.26177724e+247
 Inf
 2.51327501e+03
 2.51328342e+03
 2.51344355e+03
 2.51341761e+03
 2.51335668e+03
 2.51368919e+03
 2.51377948e+03
 2.51352124e+03
 2.51364314e+03
 2.51379227e+03
 2.51365778e+03
 2.51340509e+03
 2.51337662e+03
 2.51346031e+03
 2.51349904e+03
 2.51379513e+03
 2.51399168e+03
 2.51361125e+03
 2.51333297e+03
 2.51342992e+03
 2.51342677e+03
 2.51345099e+03
 2.51337853e+03
 2.51327805e+03
 2.51335162e+03
 2.51335049e+03
 Inf
 2.51327416e+03
 2.51327911e+03
 2.51332372e+03
 2.51343787e+03
 2.51332551e+03
 2.51334459e+03
 2.51351731e+03
 2.51340437e+03
 Inf
 Inf
 2.51328093e+03
 2.51333297e+03
 2.51338839e+03
 2.51336015e+03
 2.51335498e+03
 2.51339870e+03
 2.51330169e+03
 2.51327733e+03
 2.51328143e+03
 2.51342524e+03
 2.51380523e+03
 2.51332417e+03
 2.51327711e+03
 2.51331288e+03
 2.51329818e+03
 Inf
 2.51328812e+03
 2.51335841e+03
 2.51334354e+03
 2.51334250e+03
 2.51337534e+03
 2.51332461e+03
 2.51328742e+03
 2.51328143e+03
 Inf
 Inf
 5.74412538e+285
 2.97521428e+238
 Inf
 Inf
 2.02312907e+236
 Inf
 2.51327817e+03
 2.51331607e+03
 2.51328126e+03
 Inf
 Inf
 2.51329757e+03
 2.51328720e+03
 2.51328957e+03
 2.51334512e+03
 2.51343867e+03
 2.51327998e+03
 Inf
 2.51331689e+03
 2.51328765e+03
 2.51334198e+03
 2.51337598e+03
 2.51329607e+03
 2.51327690e+03
 Inf
 Inf
 Inf
 2.51327424e+03
 2.51374610e+03
 2.51388329e+03
 Inf
 Inf
 Inf
 Inf
 2.51340581e+03
 2.51337534e+03
 Inf
 Inf
 2.51330723e+03
 2.51329757e+03
 2.51330509e+03
 2.51330474e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.75800264e+302
 2.51327424e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.10067142e+262
 Inf
 2.51327604e+03
 2.51330440e+03
 Inf
 Inf
 2.51330006e+03
 Inf
 2.27738113e+199
 1.74066086e+145
 2.66730185e+158
 4.34302596e+170
 9.89715956e+163
 3.98074829e+227
 1.58245888e+292
 2.62342820e+226
 2.94825937e+249
 Inf
 2.51330723e+03
 Inf
 Inf
 2.51329787e+03
 2.51336309e+03
 2.51328110e+03
 2.51327701e+03
 2.51331327e+03
 2.51332461e+03
 2.51328860e+03
 Inf
 2.51327604e+03
 2.51330440e+03
 Inf
 2.51327527e+03
 2.51333394e+03
 2.51328362e+03
 1.69873861e+296
 3.73947264e+162
 Inf
 2.51329462e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327432e+03
 Inf
 1.48217498e+246
 Inf
 2.51328029e+03
 2.51331133e+03
 2.51327501e+03
 Inf
 Inf
 Inf
 Inf
 2.51327856e+03
 2.51328982e+03
 2.51328441e+03
 Inf
 2.51329462e+03
 2.51329214e+03
 Inf
 Inf
 Inf
 2.51329057e+03
 Inf
 1.41555111e+167
 1.05057080e+301
 Inf
 1.36186514e+177
 4.46461489e+184
 3.92880226e+237
 1.25156717e+183
 1.49952571e+143
 8.55008412e+141
 Inf
 Inf
 3.93834492e+159
 1.32189166e+241
 Inf
 Inf
 6.53231757e+226
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327416e+03
 Inf
 1.59694064e+308
 2.51327460e+03
 2.51330071e+03
 2.51327501e+03
 2.51331446e+03
 2.51328045e+03
 4.26692628e+207
 Inf
 2.51327856e+03
 Inf
 Inf
 2.51328720e+03
 2.51337346e+03
 2.51327540e+03
 2.51327422e+03
 2.51327460e+03
 2.51329462e+03
 2.51329214e+03
 2.51327432e+03
 2.51330303e+03
 2.51327968e+03
 Inf
 Inf
 2.51328697e+03
 2.51333154e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327422e+03
 2.51346463e+03
 2.51353225e+03
 2.51327527e+03
 Inf
 Inf
 2.51327452e+03
 Inf
 Inf
 2.51327570e+03
 Inf
 4.43868544e+299
 1.92054929e+208
 Inf
 Inf
 1.62342765e+80
 1.01164414e+48
 4.91715251e+50
 4.25661444e+51
 2.19473026e+103
 1.08423764e+136
 1.20375506e+64
 1.03128986e+59
 5.93514092e+92
 Inf
 2.51336015e+03
 2.51328195e+03
 2.29754632e+199
 2.50871330e+80
 6.15548881e+53
 3.65180135e+81
 4.61901863e+121
 8.38905921e+67
 8.21146336e+96
 1.90848745e+206
 1.91027923e+144
 7.97891095e+232
 Inf
 Inf
 Inf
 Inf
 6.25061873e+277
 8.61735586e+242
 Inf
 Inf
 9.23188115e+209
 1.35669239e+198
 1.37935493e+303
 Inf
 Inf
 2.91460491e+224
 1.24313187e+247
 3.83031186e+268
 1.93844856e+265
 Inf
 8.64539338e+258
 1.28965504e+214
 8.75833371e+298
 Inf
 Inf
 1.06394275e+287
 1.36519452e+263
 2.43358813e+149
 1.72652307e+145
 1.31245580e+144
 1.19174272e+128
 1.03454200e+143
 4.04888583e+136
 3.53807866e+99
 2.88475977e+92
 2.36336728e+114
 1.06210360e+125
 4.13583076e+135
 1.43774999e+152
 1.69939213e+186
 4.52950526e+168
 7.84594958e+136
 3.76496304e+178
 1.26920202e+273
 4.99723970e+175
 1.97184908e+206
 4.98344929e+269
 1.18979732e+179
 8.57210556e+188
 6.38445661e+228
 Inf
 Inf
 1.26420172e+178
 Inf
 2.51435771e+03
 2.51742019e+03
 2.51645520e+03
 2.51720420e+03
 2.52045872e+03
 2.51639189e+03
 2.51354761e+03
 2.51340654e+03
 2.51335329e+03
 Inf
 Inf
 2.51327792e+03
 2.51340945e+03
 2.51328565e+03
 2.51329519e+03
 2.51333941e+03
 2.51335273e+03
 2.51334942e+03
 2.51339042e+03
 2.51353833e+03
 2.51328836e+03
 3.89604759e+200
 1.20173627e+128
 3.85348009e+153
 5.27460354e+149
 2.01503789e+100
 1.49887762e+136
 Inf
 Inf
 6.71357141e+201
 1.08767872e+187
 Inf
 Inf
 Inf
 Inf
 3.95180797e+289
 Inf
 Inf
 Inf
 Inf
 2.63030279e+150
 1.91870543e+174
 5.33172797e+236
 8.90963527e+208
 8.74830926e+298
 Inf
 2.74927568e+191
 1.30548784e+188
 Inf
 Inf
 1.59101838e+170
 5.02899148e+185
 Inf
 5.15622160e+269
 2.63110482e+155
 3.70912825e+241
 Inf
 Inf
 Inf
 Inf
 2.51329057e+03
 2.51332240e+03
 2.51342524e+03
 2.51334779e+03
 2.51327954e+03
 Inf
 Inf
 2.51330071e+03
 2.51328765e+03
 2.51327830e+03
 Inf
 Inf
 2.51328742e+03
 2.51349155e+03
 2.51380959e+03
 2.51350187e+03
 2.51331486e+03
 2.51330405e+03
 2.51345016e+03
 2.51341912e+03
 2.51327843e+03
 2.51332417e+03
 2.51341313e+03
 2.51330723e+03
 2.51329726e+03
 Inf
 Inf
 Inf
 Inf
 3.50164846e+295
 Inf
 Inf
 2.51327792e+03
 Inf
 Inf
 Inf
 2.35393047e+162
 1.48953497e+185
 Inf
 Inf
 Inf
 Inf
 Inf
 7.03007356e+182
 9.11598091e+133
 1.24754695e+273
 Inf
 2.19535601e+300
 3.42727539e+219
 7.27311072e+253
 1.08654065e+165
 3.73341843e+167
 Inf
 1.82220333e+283
 2.14693395e+233
 7.34783128e+170
 7.29718773e+147
 1.89271743e+144
 1.27062315e+113
 2.66418022e+112
 1.56002799e+159
 1.24489307e+134
 2.41634015e+111
 7.18784863e+117
 2.54755599e+150
 2.04182341e+190
 2.58968175e+150
 1.59620302e+124
 3.19192044e+134
 3.89750661e+105
 1.19777015e+110
 6.41798729e+270
 2.51369047e+03
 2.51339246e+03
 4.80114036e+188
 5.12776681e+193
 1.71590267e+134
 6.04836110e+134
 1.61649436e+146
 5.85085908e+162
 1.38964748e+167
 2.18960436e+120
 1.87789545e+108
 4.21381074e+138
 6.03885984e+159
 5.60382705e+125
 7.90086962e+135
 1.33507076e+117
 1.47529955e+94
 5.19870035e+108
 3.17832412e+104
 2.14956660e+129
 2.15799860e+152
 2.47034813e+159
 1.01981101e+276
 5.13319411e+212
 6.62873724e+118
 8.44721175e+150
 6.31945539e+228
 2.58137405e+164
 7.36604426e+183
 4.34459052e+210
 2.28410132e+254
 4.63303207e+231
 1.90772220e+208
 1.07950293e+204
 1.91967266e+207
 3.31691577e+174
 1.59120062e+135
 2.43110195e+123
 4.13380808e+135
 1.61928112e+129
 3.01151185e+102
 1.41367333e+123
 1.37460397e+119
 1.55529694e+91
 1.60167245e+97
 3.37797465e+109
 9.07990352e+126
 9.69650360e+125
 3.57908877e+124
 2.42467305e+123
 2.02207484e+107
 4.50727432e+107
 1.55624570e+116
 8.08093291e+112
 8.45860989e+105
 3.89039282e+92
 3.82289564e+104
 1.08418553e+103
 3.64091354e+70
 1.08059689e+72
 2.08902567e+81
 5.96360090e+83
 7.89991746e+84
 6.97214238e+71
 6.71586876e+80
 7.41875338e+102
 3.22146001e+98
 8.99363319e+102
 9.69971993e+108
 1.28866423e+121
 4.19754140e+109
 1.11528998e+76
 2.72609280e+74
 4.66440361e+83
 3.26082318e+83
 4.62472018e+121
 4.08359852e+209
 Inf
 1.35670941e+241
 3.38156873e+215
 Inf
 2.51330440e+03
 Inf
 2.85612505e+202
 2.21558413e+199
 Inf
 4.39194099e+282
 7.61039987e+256
 6.20546771e+277
 Inf
 2.51327413e+03
 2.49215035e+252
 1.51563547e+163
 2.33306604e+139
 1.22593525e+169
 9.16621224e+216
 2.94627082e+129
 7.14308050e+96
 1.40350765e+96
 2.73493504e+103
 2.56864410e+89
 8.75849730e+82
 4.65508991e+105
 3.39224000e+89
 4.16082842e+83
 3.92031998e+132
 2.11496561e+128
 2.43018980e+90
 7.63021987e+91
 1.78278153e+91
 2.39203476e+82
 1.33127698e+81
 7.76429422e+89
 2.66677065e+96
 1.65842892e+86
 3.39616273e+82
 6.47686919e+87
 1.09897950e+84
 2.41929934e+95
 3.10093972e+97
 8.07753331e+77
 1.21977261e+78
 7.87934683e+84
 9.88416554e+85
 8.60503492e+83
 7.35662613e+95
 1.77314553e+95
 6.01343026e+96
 4.78628694e+115
 1.72051258e+94
 3.58229825e+85
 2.91970690e+87
 5.39974233e+78
 9.49293810e+125
 3.25501521e+139
 6.98654032e+82
 1.12660586e+77
 5.54141987e+70
 1.96785905e+73
 1.64895203e+88
 2.66486318e+96
 7.93560505e+93
 4.70289246e+83
 1.53245265e+77
 1.41426129e+79
 2.01178936e+83
 1.45868004e+94
 2.22996042e+89
 2.20667666e+80
 1.50451613e+95
 1.22329558e+116
 2.75771730e+109
 9.44711134e+114
 2.00127191e+100
 7.45186411e+87
 1.77995841e+91
 1.43595425e+102
 1.02050603e+85
 2.22160266e+66
 5.98763215e+73
 4.11450171e+99
 3.73027472e+128
 5.23679887e+129
 4.00054179e+118
 5.10269901e+118
 1.01056172e+113
 6.59603680e+110
 1.53734128e+138
 1.09665239e+136
 1.06842437e+125
 2.24305482e+109
 2.28416857e+96
 3.85107500e+113
 3.81187904e+115
 6.56447363e+90
 6.54113543e+77
 1.09577519e+93
 8.62734460e+83
 1.80481427e+73
 6.00181766e+92
 2.22024509e+122
 1.39849830e+101
 2.79397978e+65
 5.61461383e+64
 2.16557156e+79
 4.22493396e+90
 4.70056308e+81
 2.56176632e+77
 3.25049066e+88
 5.30115600e+86
 3.13057477e+96
 1.48432335e+118
 1.00384947e+105
 2.09820822e+90
 8.94208353e+86
 8.22631114e+75
 2.29488152e+78
 1.18973918e+102
 9.69661320e+108
 2.10048362e+90
 3.32247506e+84
 7.33663690e+106
 3.14849432e+123
 1.79148899e+105
 9.43351783e+114
 8.37043944e+175
 6.98900941e+224
 5.75840984e+144
 3.27679759e+174
 2.34245997e+266
 1.39737362e+303
 Inf
 7.87195125e+176
 4.71206910e+104
 7.57514348e+130
 1.58440830e+128
 1.74991118e+93
 3.36428717e+100
 3.22376974e+139
 1.20496169e+109
 9.98857273e+77
 5.51746106e+75
 1.40682804e+80
 4.87413069e+90
 1.70008895e+112
 9.45544818e+114
 1.78763021e+105
 1.94522673e+98
 1.38744723e+98
 1.84554559e+106
 5.62894053e+104
 6.08274795e+92
 3.85050825e+105
 4.68615092e+223
 2.52715067e+251
 1.29053012e+151
 6.58795936e+173
 1.27244806e+214
 1.50987947e+163
 9.55856181e+114
 4.37045081e+96
 1.36825396e+112
 1.19762793e+247
 Inf
 Inf
 7.21928292e+224
 2.36234963e+134
 7.17146533e+111
 2.15259863e+92
 1.96884336e+87
 9.88746923e+97
 2.45941346e+145
 3.86050280e+159
 2.03557573e+107
 1.71020333e+77
 2.37467666e+73
 4.98607401e+73
 6.79401226e+63
 2.07340653e+69
 1.74926896e+95
 6.81913821e+100
 3.18419958e+93
 2.01622370e+93
 2.52766340e+75
 9.18185733e+78
 4.14257369e+83
 2.08307070e+143
 1.87269801e+208
 2.82564403e+90
 3.08528157e+80
 8.34303091e+81
 1.05970522e+74
 4.66337058e+83
 3.14712894e+86
 4.69348141e+81
 1.09797371e+93
 8.76965330e+82
 4.76172697e+103
 1.01044933e+111
 2.87266971e+88
 2.56052399e+87
 8.47739351e+80
 7.88377129e+93
 2.90419982e+157
 6.92986503e+126
 7.64704766e+80
 7.47796055e+130
 Inf
 Inf
 1.38061754e+154
 3.18324799e+96
 1.89184662e+97
 2.73287216e+93
 2.77558150e+86
 8.95418068e+89
 3.20603419e+98
 1.55401947e+99
 1.15526420e+85
 3.31555966e+84
 1.88266104e+77
 2.22241032e+76
 1.47127864e+85
 3.72692625e+81
 1.13043388e+80
 3.02642434e+79
 3.93769877e+70
 7.64402479e+67
 2.44201845e+80
 2.54647270e+89
 5.00474434e+93
 4.82013009e+113
 1.37018413e+78
 2.58097053e+64
 9.38105641e+80
 2.09399314e+127
 3.35674477e+169
 4.69665605e+204
 2.51327507e+03
 Inf
 8.68478784e+166
 1.14452753e+181
 3.19938847e+166
 7.05725679e+177
 1.73565042e+112
 1.78193365e+95
 7.04206803e+92
 4.07551242e+66
 3.12730601e+71
 7.55748012e+91
 6.31533246e+98
 4.40744623e+168
 2.85021229e+307
 4.12784653e+183
 1.21254755e+109
 1.00525939e+102
 9.52414201e+92
 2.55998456e+89
 2.93563055e+84
 1.04964156e+75
 6.00823631e+92
 1.25550944e+130
 2.55802337e+150
 2.32740959e+139
 1.19554668e+166
 6.21742318e+280
 7.76519658e+176
 7.48704000e+132
 9.87618970e+227
 2.94899397e+249
 2.29834084e+254
 7.02919893e+243
 3.40827437e+219
 7.47256067e+190
 8.53948308e+166
 1.09986210e+149
 5.74835729e+171
 8.02254595e+238
 1.34514322e+177
 1.90983205e+207
 1.82922999e+274
 1.36328788e+263
 1.09983534e+248
 1.14762413e+218
 Inf
 Inf
 1.26428476e+247
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.47870180e+162
 6.89523705e+104
 5.83729248e+101
 5.10809399e+97
 2.48662292e+102
 1.75061749e+119
 9.96672697e+99
 4.10316690e+86
 9.72259098e+83
 1.79064586e+84
 8.63282784e+95
 1.50071405e+82
 1.05373630e+68
 1.52090234e+77
 2.43461937e+85
 1.12366261e+86
 4.08137832e+76
 5.24419680e+81
 6.02139748e+86
 2.02690561e+84
 2.76587385e+86
 4.15980792e+73
 1.54032301e+75
 1.67251162e+82
 2.84119401e+77
 7.74982975e+89
 1.19019451e+110
 7.96870957e+93
 4.82254087e+84
 3.26183519e+88
 2.25871618e+148
 3.78481004e+128
 5.06009191e+93
 8.72508878e+153
 Inf
 Inf
 4.02710626e+144
 8.94273097e+127
 7.91103631e+121
 1.40027985e+125
 3.84836469e+237
 Inf
 Inf
 2.74384524e+191
 7.18570141e+294
 7.05966117e+243
 1.46114974e+195
 Inf
 Inf
 2.65400118e+155
 1.63414042e+156
 1.90259932e+209
 3.66841750e+161
 3.02057937e+135
 2.39551468e+114
 9.05847048e+106
 5.19023618e+102
 1.18767680e+115
 6.70767601e+128
 1.21191152e+127
 4.83345347e+115
 1.30603459e+120
 8.88819776e+127
 3.10823058e+130
 8.35064897e+138
 3.82001334e+150
 1.09375887e+196
 2.44391041e+188
 9.35967301e+123
 7.65569312e+113
 3.78583362e+122
 5.43312491e+132
 8.87179865e+153
 6.40537211e+151
 2.44326821e+125
 3.42468642e+146
 1.92107996e+194
 8.06591324e+238
 1.28920114e+151
 1.95163187e+166
 Inf
 Inf
 3.15575839e+232
 1.08899944e+119
 2.30049683e+130
 7.63919826e+130
 1.01185576e+133
 2.83263460e+214
 2.42330484e+149
 1.59589544e+124
 9.76248024e+115
 1.26048845e+151
 7.14676688e+253
 3.99517815e+144
 7.94533847e+119
 1.02416977e+122
 5.09894597e+94
 9.43756487e+66
 2.20390126e+71
 8.59360241e+90
 3.79750928e+98
 1.64944475e+96
 4.90656612e+90
 4.65811077e+86
 2.91589274e+72
 2.71076036e+76
 2.54660724e+87
 1.15085181e+85
 1.41900022e+79
 1.10496728e+76
 2.07925912e+77
 4.19385330e+79
 7.82756441e+68
 2.39514533e+64
 1.29653077e+70
 3.13248207e+77
 2.22274977e+76
 1.86800973e+81
 1.26500343e+88
 9.72836614e+83
 1.22308054e+78
 6.42468407e+88
 6.58675578e+91
 9.50751304e+80
 4.15138965e+73
 9.44720885e+72
 1.26682714e+79
 6.36737229e+71
 2.06129908e+75
 3.71038133e+81
 5.33833212e+74
 2.16249587e+73
 2.11107447e+82
 4.84321781e+78
 7.19949011e+72
 6.85604531e+82
 2.58822924e+84
 3.24380635e+67
 5.62171576e+64
 6.90682856e+71
 4.03534838e+69
 7.43281625e+66
 6.10305551e+69
 3.76275833e+73
 2.71226608e+76
 2.19487829e+80
 7.26809940e+79
 6.58819924e+70
 3.16338865e+90
 2.47921342e+92
 2.78808661e+65
 2.41176681e+72
 2.06188661e+75
 1.18400666e+72
 2.76608423e+63
 7.07166393e+62
 4.10217689e+83
 3.80353438e+87
 3.38530739e+75
 1.64024845e+73
 1.16002356e+74
 6.49159640e+79
 1.41598771e+79
 4.42590191e+67
 6.10579254e+69
 3.85291446e+77
 4.28601667e+70
 5.19795288e+68
 8.53735177e+69
 2.89412240e+69
 2.93986496e+81
 3.02837175e+79
 4.67627796e+83
 5.53051215e+75
 2.73546360e+68
 3.48372026e+67
 2.57721940e+63
 Inf
 2.51577942e+03
 2.51701397e+03
 2.51872375e+03
 2.51741993e+03
 2.51616794e+03
 2.51541016e+03
 2.51374611e+03
 Inf
 7.68538292e+190
 9.67509571e+151
 9.85305122e+100
 8.75418976e+66
 1.54128644e+72
 1.00627131e+96
 1.33805005e+91
 7.03139667e+92
 4.93891039e+99
 5.25092777e+85
 3.26361588e+83
 3.31364240e+84
 6.48257091e+87
 3.02123280e+82
 5.38609829e+65
 2.96837256e+65
 6.56341068e+81
 2.58706475e+84
 1.31408233e+66
 1.50921363e+58
 1.11755109e+66
 2.03161218e+91
 5.36495064e+95
 5.55256801e+75
 1.97261188e+73
 4.03804943e+69
 5.17368378e+69
 4.44315090e+92
 1.84566558e+92
 1.45209668e+68
 5.89805115e+63
 4.34607790e+66
 5.82862913e+77
 7.88429847e+72
 3.71328285e+65
 2.88726697e+87
 7.90783220e+93
 6.08650478e+67
 2.45072895e+69
 4.63215715e+114
 3.65257347e+160
 5.77754837e+105
 1.94550988e+98
 1.05999310e+199
 2.29572742e+173
 3.51269703e+110
 5.16841866e+126
 3.05139639e+143
 2.72016105e+82
 1.20547556e+57
 2.21597454e+64
 1.74289821e+79
 4.92773256e+128
 3.92191013e+144
 7.94047895e+121
 7.55463618e+176
 1.63140904e+129
 4.01068952e+103
 9.68926329e+109
 3.20010194e+91
 1.44712372e+65
 1.86893056e+59
 8.00903987e+64
 1.13168070e+68
 4.12587337e+73
 7.81799373e+74
 1.14422643e+85
 1.68007414e+82
 7.43677634e+75
 6.08427482e+75
 1.71623677e+63
 9.37301627e+80
 1.44603175e+160
 9.34510817e+155
 4.60135511e+157
 9.18974696e+126
 1.19642113e+115
 2.26951797e+110
 4.32400657e+102
 1.83065616e+125
 5.70195409e+90
 1.28363307e+74
 4.09794707e+75
 6.34298025e+63
 4.68927285e+66
 1.63507851e+86
 8.47619474e+87
 4.25131514e+84
 3.81814151e+82
 1.12111619e+135
 Inf
 8.09635059e+172
 4.72454203e+131
 8.39062300e+118
 1.16597284e+91
 3.73497059e+81
 5.62581758e+90
 2.24063133e+106
 2.63857173e+97
 2.89257153e+122
 3.92242783e+216
 2.52814614e+145
 9.61358830e+80
 7.84371600e+74
 1.95361705e+87
 1.39829680e+96
 4.58445737e+95
 7.47040879e+102
 1.19355014e+109
 1.39449506e+125
 3.02839141e+115
 2.82001630e+151
 1.99915331e+187
 6.91517353e+104
 8.16783061e+100
 4.12931098e+112
 5.94602209e+94
 4.83744890e+80
 6.67029171e+78
 3.05861102e+75
 1.29461341e+72
 2.32667608e+68
 4.65177501e+81
 2.23702694e+87
 5.18228718e+108
 1.19993834e+96
 9.97971098e+71
 4.44992154e+92
 6.31729987e+98
 1.66004713e+101
 8.41299308e+97
 2.27172373e+103
 1.96722363e+113
 1.38288409e+92
 1.47257907e+89
 1.46250314e+94
 4.85638106e+101
 2.23537948e+89
 1.36135505e+78
 2.25622387e+96
 3.21412150e+98
 4.31216083e+93
 3.65623569e+97
 9.25306543e+93
 7.43663364e+87
 6.76490102e+80
 7.48607738e+90
 1.64467738e+96
 1.59457681e+92
 3.20904459e+98
 4.14744904e+130
 1.80955166e+200
 1.39859445e+167
 1.70962079e+134
 2.15818805e+117
 1.23489414e+104
 1.57632906e+124
 6.43347631e+122
 3.68752124e+97
 9.90318284e+99
 1.88688573e+114
 2.41729908e+123
 2.46814828e+142
 5.58576505e+125
 1.23585251e+116
 1.07041972e+119
 1.20260853e+110
 3.35012882e+106
 3.46542778e+110
 2.16076965e+135
 3.92925879e+144
 1.35153443e+154
 7.43797115e+168
 5.73270040e+150
 6.01465131e+114
 1.49438339e+118
 4.45033565e+168
 3.77019215e+194
 3.75261564e+167
 1.12430714e+153
 6.39921270e+180
 1.96349289e+166
 2.92614512e+119
 1.89900515e+114
 1.18000555e+145
 1.08585600e+137
 8.49596143e+150
 2.61796098e+218
 2.37295351e+160
 5.63517253e+174
 2.63667908e+193
 1.91818345e+151
 1.19934484e+166
 3.84067540e+163
 4.09789828e+137
 5.06207052e+142
 3.77175530e+178
 5.78526758e+171
 1.34315799e+117
 1.41509303e+84
 8.29852231e+76
 5.88656087e+81
 4.98863610e+76
 2.35900686e+70
 6.81863729e+86
 2.76897351e+86
 4.20998941e+79
 3.65695818e+119
 3.10209061e+154
 2.93885434e+122
 1.45016350e+102
 4.94135477e+91
 4.67505722e+105
 2.26977046e+147
 2.80122164e+165
 1.46746358e+215
 3.63667401e+180
 1.90396472e+144
 1.69556154e+186
 1.36658968e+269
 8.62048621e+175
 1.57870173e+148
 1.90294262e+151
 1.18065817e+118
 3.35409534e+156
 7.44214341e+168
 2.59069839e+140
 8.33448774e+134
 1.09575345e+136
 9.30330426e+169
 6.03199985e+114
 3.29295190e+88
 1.56231787e+113
 3.73457135e+182
 1.43904785e+219
 3.00788004e+242
 3.72460544e+162
 4.72570973e+86
 8.20940256e+107
 7.83152742e+232
 3.00466331e+157
 3.49893307e+108
 9.64204391e+204
 Inf
 5.04044971e+147
 1.26694605e+111
 8.46726384e+141
 1.29057086e+188
 2.94114644e+136
 3.19021147e+116
 2.93717516e+157
 1.95415888e+111
 5.33938878e+77
 1.22703177e+108
 1.86968771e+144
 1.11637466e+145
 4.15683051e+206
 2.51383014e+03
 2.51331327e+03
 1.94429202e+108
 1.32444359e+122
 2.40365599e+73
 1.46891482e+85
 4.41433271e+165
 3.02706523e+114
 4.14805088e+112
 2.79501655e+67
 1.56474359e+59
 1.86944788e+85
 4.29936871e+97
 4.93429063e+91
 2.14236578e+86
 2.63593310e+112
 4.36206723e+143
 5.23376464e+102
 3.22120376e+98
 1.07681361e+149
 1.38637716e+133
 1.25778372e+106
 4.17918204e+109
 1.79271307e+91
 1.18120117e+69
 5.72576341e+69
 7.08268528e+74
 3.83427632e+80
 7.74967913e+82
 3.15157166e+77
 1.87485219e+75
 2.71456940e+76
 1.01436713e+77
 8.76124307e+73
 2.24441394e+103
 4.35279062e+184
 1.44115231e+156
 4.75177330e+105
 4.27553946e+91
 1.05682960e+82
 1.15533312e+75
 3.85120039e+89
 4.48995757e+92
 2.12860314e+82
 1.47553084e+85
 4.28163899e+88
 1.17442774e+100
 2.23306341e+97
 1.38832240e+101
 6.62710237e+127
 2.05647863e+128
 3.45520840e+131
 1.18392481e+98
 3.75502564e+88
 7.37214724e+95
 5.31498063e+86
 1.14426092e+79
 5.27721599e+83
 8.24158874e+118
 6.15722492e+124
 2.08520127e+182
 Inf
 9.10668945e+249
 2.26971602e+204
 1.07875752e+204
 4.76289749e+121
 1.25958290e+99
 2.63239650e+97
 3.34809523e+87
 5.64086615e+90
 8.78270972e+127
 3.56744965e+180
 2.78440162e+106
 9.46290152e+66
 3.42322234e+73
 6.53684401e+91
 1.73581694e+92
 1.05219404e+75
 3.65077556e+91
 5.53994382e+189
 1.87432555e+220
 2.54496125e+213
 4.42359729e+205
 7.50643759e+168
 1.83486778e+109
 1.13232552e+86
 5.44386954e+84
 6.86966546e+86
 1.70260389e+74
 9.15474951e+93
 4.64343829e+223
 1.13836074e+213
 1.74336641e+145
 1.58196270e+164
 2.26731425e+212
 5.37515281e+236
 2.44425770e+278
 Inf
 Inf
 Inf
 Inf
 Inf
 1.21217259e+203
 1.46444279e+162
 4.73302387e+124
 2.04249354e+154
 6.45270052e+214
 1.10278744e+103
 4.72166591e+114
 1.28001529e+285
 1.58381128e+170
 7.97862750e+119
 1.16869509e+139
 1.88278378e+192
 1.07909666e+165
 2.81268761e+165
 Inf
 Inf
 2.26116293e+199
 3.62863382e+180
 1.50146209e+160
 5.71312177e+137
 7.74285314e+257
 3.82047927e+194
 5.73937446e+144
 8.09698560e+184
 2.05173288e+169
 2.20144308e+199
 Inf
 Inf
 6.18702100e+155
 6.19202750e+119
 9.81308391e+227
 2.51396994e+03
 2.51364919e+03
 5.03730581e+204
 2.11316272e+204
 1.22671746e+127
 2.30597822e+130
 7.08217085e+253
 1.34707677e+177
 3.46433158e+146
 7.26222686e+147
 2.25799332e+122
 1.56619115e+159
 1.58724469e+135
 1.02824821e+96
 2.80674686e+108
 5.66721598e+88
 3.07015159e+75
 6.92271287e+99
 3.70674920e+182
 1.45992352e+161
 3.65707732e+121
 3.02227870e+138
 3.12619509e+186
 4.69808593e+172
 2.11705306e+136
 2.14089979e+127
 2.83182319e+151
 1.11495006e+146
 2.03383659e+171
 1.07192372e+204
 9.99017435e+193
 9.93337443e+191
 1.36349957e+154
 3.14068878e+186
 4.64029431e+211
 8.30040070e+222
 2.60271301e+226
 3.37509650e+215
 3.67447740e+247
 6.48787133e+226
 8.85773214e+207
 2.04463865e+180
 1.30367735e+93
 9.21760964e+76
 1.64315526e+101
 1.31374033e+173
 1.42442304e+222
 2.52652013e+251
 1.05713854e+282
 3.79073138e+187
 2.45138574e+184
 8.42223475e+258
 7.18165095e+303
 3.86355091e+182
 7.22448633e+111
 4.60638281e+95
 4.50027088e+92
 1.02399267e+92
 3.13759926e+96
 4.06047948e+101
 1.69709924e+130
 1.88427937e+144
 1.05231911e+117
 1.18344192e+128
 6.30523426e+143
 1.19203440e+100
 3.69494919e+90
 7.78689369e+135
 Inf
 5.05775874e+269
 3.88909252e+163
 6.84915816e+182
 8.83303926e+208
 7.73369575e+145
 7.06505866e+129
 7.57758800e+176
 5.43023348e+198
 1.57033052e+170
 2.49222755e+107
 1.02477834e+87
 1.84169210e+92
 2.07315415e+95
 2.69842898e+124
 3.77203281e+127
 2.45341463e+159
 3.17473366e+201
 2.64963130e+193
 2.88108168e+214
 6.69969306e+110
 2.25714205e+106
 4.25006355e+108
 8.35812086e+76
 3.23487298e+67
 6.62616013e+62
 2.47594612e+61
 4.95409563e+65
 1.07276623e+65
 1.15279723e+65
 1.68529662e+74
 1.85075973e+72
 2.16269042e+70
 2.42524550e+85
 1.50823727e+95
 6.92088035e+82
 2.27222198e+83
 2.06513998e+95
 1.16427623e+87
 1.49487374e+76
 4.06506899e+76
 3.00660313e+82
 3.83128837e+105
 2.26278431e+110
 1.29007732e+74
 4.03106560e+85
 2.91973454e+189
 5.65923652e+169
 2.98213694e+141
 4.53405413e+263
 Inf
 5.84518660e+285
 2.64191255e+170
 6.96383406e+187
 2.58878713e+150
 1.17531443e+132
 1.20316476e+109
 6.40319234e+122
 6.03119123e+155
 1.02408077e+120
 8.09319391e+124
 9.78012829e+163
 4.84869026e+133
 2.16953540e+129
 3.61012046e+161
 9.14255168e+106
 6.92067934e+86
 6.36869289e+108
 2.45508027e+142
 1.61397318e+127
 2.24419824e+109
 1.66648090e+121
 4.19304821e+141
 6.11955338e+121
 7.64019969e+80
 4.17696366e+72
 8.60054966e+90
 3.38527502e+101
 7.43436804e+88
 1.70376131e+74
 2.06733157e+99
 3.07696600e+130
 6.10440398e+121
 3.79434921e+163
 2.09653886e+141
 3.82240540e+150
 1.12089558e+213
 8.31697212e+144
 7.24790696e+117
 4.02090470e+136
 5.68451212e+137
 6.49644210e+181
 1.61315494e+189
 3.14292092e+130
 4.47088314e+168
 3.05276451e+115
 1.17067715e+87
 4.35106199e+87
 3.15717795e+77
 2.90572640e+72
 1.15039811e+75
 4.39403539e+74
 1.31225714e+71
 2.18871945e+80
 7.54957523e+80
 5.52441683e+75
 1.31289818e+71
 7.51496609e+80
 2.05020776e+91
 4.47956502e+107
 2.29134809e+130
 1.18915285e+100
 1.15750415e+97
 2.61744228e+104
 5.16099234e+112
 1.57724171e+113
 5.36724892e+98
 2.22517469e+109
 8.41529442e+150
 4.04388062e+183
 1.48125071e+141
 1.26988130e+113
 8.36298881e+99
 1.50073456e+76
 8.97429963e+67
 1.25383628e+80
 8.11115555e+79
 1.81417495e+64
 2.35491108e+67
 1.43809662e+68
 5.15176402e+67
 2.26985540e+84
 6.11669592e+76
 4.83141291e+78
 4.29953112e+94
 1.02093107e+87
 2.36143639e+100
 6.81889370e+93
 1.48032131e+104
 9.94933115e+158
 6.04947607e+120
 1.71360268e+150
 1.09364675e+196
 2.31975472e+147
 1.62151342e+146
 5.21784779e+126
 2.45149715e+95
 2.94168458e+84
 5.63341293e+90
 8.49481344e+88
 2.36350073e+100
 2.35912624e+149
 3.81887283e+122
 4.34100475e+82
 8.93057048e+102
 2.62667690e+158
 1.85766685e+125
 1.42430400e+123
 1.61086837e+146
 1.29222390e+140
 1.59294261e+124
 1.10884185e+107
 8.33124249e+118
 9.24638393e+169
 3.39445908e+169
 2.68133780e+158
 2.17383176e+152
 6.83015548e+182
 9.18652513e+259
 2.71199052e+230
 1.36046136e+198
 7.51352858e+256
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.08521082e+268
 1.48962133e+176
 2.45261533e+125
 1.14311369e+135
 2.83838190e+151
 1.03153898e+122
 8.46067922e+97
 9.73069230e+100
 2.14882725e+86
 9.66044020e+73
 2.41820680e+86
 3.33565581e+76
 1.25980464e+80
 3.65755564e+111
 9.97987617e+120
 3.00112385e+114
 5.16227047e+89
 4.25410465e+84
 7.89792669e+93
 3.85232310e+105
 8.05380876e+112
 6.14550902e+124
 2.42846214e+125
 1.79226909e+105
 5.18740074e+102
 9.92063535e+99
 2.07892564e+95
 6.01361986e+96
 5.88105372e+99
 1.64169008e+98
 6.53317429e+90
 8.83600243e+91
 1.63756106e+107
 2.08354368e+95
 1.15559710e+97
 2.15113147e+120
 9.05248730e+102
 8.41767526e+97
 7.47688318e+102
 5.36877446e+123
 2.51420418e+03
 2.52097420e+03
 2.48587398e+03
 2.51656634e+03
 2.51337221e+03
 Inf
 Inf
 1.05480823e+141
 2.27301628e+106
 1.83027732e+110
 9.16306107e+117
 5.53487511e+107
 3.17254785e+86
 1.01416534e+80
 3.31364146e+95
 2.83478016e+101
 1.81975648e+90
 3.45780285e+73
 2.29213856e+78
 1.40189406e+161
 3.03705779e+260
 Inf
 Inf
 2.51361472e+03
 2.51430861e+03
 2.51372851e+03
 2.51333840e+03
 Inf
 Inf
 2.77802801e+168
 3.84450352e+150
 8.42911558e+122
 9.19765752e+117
 4.69375340e+121
 2.25991690e+119
 4.82523127e+103
 2.22170332e+126
 1.23330613e+157
 3.21649164e+134
 1.94623628e+111
 2.34054382e+94
 1.27169544e+88
 3.16937180e+93
 3.89157160e+77
 6.66147006e+78
 5.09891262e+89
 2.15802850e+85
 1.07354464e+94
 1.30750776e+85
 5.29385019e+86
 1.27912776e+93
 4.70166300e+83
 6.10475301e+75
 6.45511208e+87
 1.79773102e+109
 2.89301307e+92
 2.08971264e+90
 4.32310995e+94
 1.25662384e+94
 2.15356309e+105
 1.25395785e+111
 2.26688593e+110
 1.59970335e+83
 1.13118606e+80
 1.65458014e+120
 5.70532074e+135
 4.34971620e+102
 1.88881631e+114
 3.01927058e+115
 1.81642759e+109
 3.70545631e+111
 1.40951543e+100
 4.96339080e+106
 6.46109998e+116
 1.61465204e+97
 7.53590912e+90
 2.81926685e+100
 9.51955874e+92
 8.97702806e+89
 8.97146037e+84
 5.20159748e+92
 9.95419826e+104
 1.17633683e+98
 1.48442661e+99
 1.33943555e+91
 5.89400770e+77
 1.19982636e+70
 2.45346260e+69
 1.42891497e+160
 5.22813196e+156
 1.00783285e+72
 1.86036008e+74
 6.74110572e+76
 1.27022237e+75
 9.83815759e+85
 1.20275475e+105
 4.52035869e+98
 6.79675689e+89
 2.72841996e+106
 2.22412400e+126
 1.90167155e+103
 1.10445529e+84
 1.97200860e+101
 1.88784086e+114
 2.25944419e+106
 5.07904698e+94
 2.57349658e+77
 8.90443535e+77
 1.77164710e+91
 1.47214544e+89
 1.15573256e+91
 3.68782311e+96
 1.33584802e+82
 1.14219689e+79
 6.85181192e+86
 8.25643852e+118
 4.03512590e+119
 1.65892480e+96
 1.48174844e+104
 5.35334293e+98
 1.27352200e+88
 3.38586406e+79
 5.86821814e+77
 2.22295404e+76
 5.09110335e+66
 7.07259329e+74
 3.24595327e+88
 9.50347996e+72
 5.48590553e+66
 3.61228795e+74
 4.09859104e+75
 3.75655625e+79
 1.57748534e+79
 9.92411813e+71
 1.14235441e+85
 1.27954315e+89
 1.19151701e+81
 2.11918244e+82
 1.18295667e+82
 1.89683128e+85
 3.87077867e+89
 1.01554490e+96
 3.45179156e+110
 6.08024870e+115
 5.75100887e+100
 4.71277617e+83
 2.76514857e+86
 3.16709317e+93
 1.58565642e+79
 1.32947058e+81
 1.38167349e+77
 2.29621751e+78
 5.77069322e+101
 5.89155370e+99
 4.17474667e+83
 5.29044084e+86
 1.87727309e+103
 2.46213918e+113
 4.95649749e+91
 2.85086989e+77
 3.77679835e+73
 7.65477314e+67
 5.19081037e+68
 2.59409417e+73
 7.24364449e+79
 1.57768104e+79
 9.47108801e+72
 2.89962273e+72
 6.93631440e+71
 3.31448939e+76
 2.91918953e+84
 2.10142397e+81
 6.43500257e+88
 2.96569117e+114
 7.42159541e+106
 1.29884832e+95
 3.16321668e+104
 1.77810500e+95
 9.10889072e+79
 1.18668649e+96
 9.91969602e+120
 3.33057091e+112
 8.07239259e+112
 4.77076509e+119
 1.93947577e+111
 6.94832082e+94
 2.96610281e+111
 1.57994805e+132
 1.27375920e+130
 1.69518286e+117
 3.41471974e+101
 1.36432664e+97
 2.75726887e+91
 7.84879892e+108
 3.16676573e+116
 2.86522373e+95
 3.15772733e+85
 6.04066660e+92
 8.23302739e+107
 4.11218133e+86
 2.56274501e+78
 1.66847617e+81
 1.01288534e+85
 1.92703524e+96
 1.25030511e+99
 3.70442262e+93
 6.89294975e+86
 8.15267928e+92
 3.99021011e+116
 2.16549645e+135
 1.20131756e+90
 9.40448686e+81
 1.05460265e+119
 6.60734859e+110
 1.29042115e+89
 2.47785924e+102
 1.90998482e+88
 2.93552151e+89
 5.56963229e+130
 2.82227378e+128
 1.00109407e+98
 1.25115263e+99
 9.60361518e+125
 6.45507325e+108
 8.28185107e+107
 3.08792495e+113
 2.49915281e+102
 6.02821370e+96
 6.02097454e+97
 1.01103567e+108
 4.60407913e+111
 1.41001669e+96
 4.70628290e+83
 6.39342470e+116
 9.51159811e+151
 6.04235021e+120
 9.88396350e+96
 1.97907340e+80
 7.88779035e+84
 2.26185640e+74
 1.49515935e+73
 1.87781062e+82
 2.07110709e+75
 1.38338809e+69
 1.39429472e+75
 2.91708400e+84
 2.56462662e+77
 2.90401294e+69
 1.55732459e+71
 3.37188172e+82
 5.08256754e+96
 1.78586310e+91
 6.51696396e+90
 6.59210370e+91
 1.13022319e+77
 1.48968932e+82
 6.51195758e+110
 1.00818925e+113
 5.04753387e+73
 1.54247972e+70
 6.81783667e+86
 1.18337679e+92
 1.40026825e+100
 2.07371865e+102
 8.04431988e+112
 3.71410574e+96
 7.31050868e+79
 4.23389703e+91
 7.31027798e+132
 7.90926921e+109
 1.46385081e+86
 3.35384033e+100
 3.83474095e+104
 3.70542739e+96
 5.69221075e+105
 2.16289459e+105
 2.72356894e+98
 6.51590440e+87
 9.95526848e+71
 7.17789280e+72
 7.56400969e+91
 1.10450411e+95
 7.30716094e+79
 1.44621288e+88
 2.82601928e+101
 1.58020322e+90
 2.84166638e+95
 1.70893860e+142
 8.33809587e+134
 7.55100382e+102
 2.48988157e+92
 2.78275740e+128
 9.44462748e+159
 1.18025181e+139
 8.72674633e+208
 9.94329580e+204
 1.59729854e+135
 3.03140914e+107
 1.01973476e+104
 3.10449392e+118
 1.42159299e+123
 1.87922250e+108
 2.83667473e+100
 1.25174152e+111
 1.28960134e+121
 3.71815260e+111
 1.06110395e+125
 1.11256114e+153
 8.95750815e+127
 2.27699918e+110
 Inf
 2.51327792e+03
 2.91849506e+108
 2.15065845e+92
 3.68376230e+119
 3.09882564e+113
 2.08705191e+95
 1.10578051e+95
 8.98170923e+102
 2.74159493e+103
 5.93077194e+94
 3.68847731e+90
 6.80622200e+100
 1.02160806e+131
 7.16633652e+111
 3.09268057e+130
 3.45770835e+131
 2.09112351e+102
 1.07097620e+196
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.82519373e+298
 Inf
 Inf
 4.12233634e+227
 Inf
 Inf
 Inf
 2.51330071e+03
 8.32573537e+219
 3.27716201e+98
 6.34411588e+109
 2.80414823e+128
 5.59990999e+136
 1.11156171e+112
 2.16694946e+105
 1.08442317e+103
 1.22725665e+116
 1.50400605e+115
 8.88240945e+111
 6.40039475e+158
 9.15024110e+161
 9.19632677e+126
 1.01727321e+111
 2.30241167e+75
 1.58902164e+97
 3.27452703e+197
 1.28357519e+151
 1.03147157e+122
 7.89193319e+135
 9.06971995e+216
 2.61902150e+155
 4.90023682e+113
 7.88069709e+137
 2.16336298e+152
 1.21086482e+110
 1.57601295e+113
 1.32666217e+122
 2.44914592e+95
 1.19953427e+102
 7.69764081e+149
 2.04152468e+190
 2.07207522e+154
 5.71135377e+202
 Inf
 Inf
 Inf
 Inf
 1.64556193e+229
 Inf
 Inf
 2.08309858e+171
 2.35706741e+160
 1.34238742e+173
 3.96022345e+144
 4.94368672e+147
 6.09668381e+218
 8.55060832e+242
 Inf
 Inf
 Inf
 Inf
 1.36083833e+241
 2.11997675e+211
 5.99681619e+221
 Inf
 Inf
 2.14011812e+211
 1.04972883e+282
 Inf
 2.57206505e+213
 2.96931424e+267
 Inf
 Inf
 Inf
 2.92269029e+224
 2.43907460e+278
 Inf
 Inf
 4.26878537e+246
 7.26757246e+292
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.90036020e+251
 2.37925403e+266
 2.81401008e+202
 1.12084207e+138
 2.03401420e+190
 6.95167647e+274
 3.64354891e+124
 1.18224284e+98
 7.55304330e+130
 7.32629597e+190
 2.03939049e+180
 3.44120439e+171
 1.33753115e+263
 9.62436298e+129
 1.74229331e+102
 2.06214717e+182
 6.11507162e+277
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327631e+03
 2.51327570e+03
 Inf
 Inf
 Inf
 Inf
 2.51328742e+03
 2.51332825e+03
 2.51327983e+03
 2.51327495e+03
 2.51327452e+03
 2.51328160e+03
 2.51327897e+03
 Inf
 2.48428181e+243
 3.34817617e+293
 Inf
 2.36501439e+177
 1.30748908e+121
 2.48358714e+145
 1.33779353e+198
 Inf
 Inf
 Inf
 Inf
 1.33334915e+273
 2.20272163e+196
 1.55069561e+308
 5.65843055e+233
 8.58495627e+166
 7.05790019e+177
 1.86947477e+220
 7.27404673e+253
 1.06213072e+221
 3.42094449e+169
 2.69900418e+198
 8.97625816e+206
 3.66736278e+161
 1.83064798e+140
 4.25795856e+151
 1.02335531e+120
 3.48377529e+117
 6.95150876e+177
 2.01149131e+187
 5.97002404e+221
 7.05070054e+224
 1.44838231e+156
 1.40278069e+131
 1.91665623e+118
 4.82227287e+115
 1.85291205e+123
 1.37985610e+90
 1.12578312e+86
 1.33290460e+91
 6.29137094e+95
 2.73546763e+106
 1.32353733e+122
 1.09181226e+136
 1.10841070e+138
 3.54084345e+142
 5.69272918e+137
 3.03608925e+138
 3.20404904e+134
 1.17371704e+139
 4.82492178e+133
 3.90512669e+129
 7.62359577e+145
 1.91650358e+157
 2.39342797e+163
 1.29816630e+188
 8.49930278e+242
 2.76675981e+185
 1.52923827e+114
 3.98365193e+118
 2.94610395e+141
 Inf
 Inf
 6.73120438e+181
 2.98580421e+157
 2.02575767e+180
 7.06068390e+303
 1.90149507e+220
 1.92424076e+151
 5.91381144e+221
 4.91018704e+245
 1.79053195e+231
 4.16061236e+164
 1.70891648e+134
 4.93047566e+147
 7.18003758e+255
 3.70011341e+192
 3.84238036e+122
 1.26107816e+77
 3.37064646e+79
 5.84060679e+141
 6.17629248e+119
 1.46918021e+185
 8.84138704e+249
 7.52242161e+152
 4.58621030e+153
 3.64148673e+179
 4.13245060e+164
 9.13818423e+259
 Inf
 Inf
 Inf
 Inf
 Inf
 6.84276580e+270
 7.60046564e+256
 3.35517708e+293
 8.98832427e+249
 7.22347673e+157
 2.11180286e+136
 2.81119537e+121
 1.50287990e+93
 1.33664886e+91
 4.47919120e+107
 5.31513664e+110
 1.87289499e+108
 1.19573901e+109
 8.71105828e+95
 8.35104517e+101
 1.83011320e+125
 8.15066769e+94
 4.46554509e+89
 3.13457231e+96
 8.51202567e+88
 5.23190794e+85
 1.87896815e+86
 2.56581284e+83
 7.12956812e+74
 4.28934003e+80
 1.80255533e+73
 6.01056088e+73
 3.73187790e+84
 3.49767028e+77
 1.87190292e+86
 2.93215717e+84
 2.43893566e+79
 2.09685441e+81
 1.71789428e+87
 1.07444959e+94
 9.72086893e+87
 1.78410794e+104
 8.19658771e+116
 6.96446686e+105
 2.68178429e+96
 1.93950310e+98
 9.52582211e+113
 5.73594884e+111
 3.22986520e+98
 7.15353309e+117
 3.91138774e+126
 7.93882761e+108
 1.02756285e+106
 4.62737520e+120
 9.19216580e+117
 2.24439435e+97
 1.01854933e+96
 1.17277433e+98
 2.01966365e+93
 4.98180857e+87
 1.17393396e+100
 2.07224560e+137
 1.39736182e+131
 2.10958249e+99
 1.15993073e+91
 1.02340526e+92
 4.49944475e+98
 4.36867635e+87
 2.93365463e+84
 9.84805745e+99
 3.89174086e+89
 6.90775716e+82
 1.04899677e+75
 2.67126459e+82
 1.64962312e+86
 1.90019588e+85
 1.04921297e+99
 1.42178675e+66
 2.95801654e+64
 6.89907651e+84
 1.67314037e+81
 3.43824823e+80
 2.26977772e+83
 9.84178988e+82
 6.11341474e+76
 1.92736311e+89
 3.69915399e+94
 1.28313038e+93
 7.45195958e+114
 4.88916645e+101
 2.44539702e+86
 1.58812799e+83
 6.97290694e+84
 4.28914225e+93
 1.36326157e+78
 7.19776917e+72
 9.66049432e+88
 3.79436223e+98
 3.27865524e+88
 3.01355571e+74
 5.65118037e+91
 8.30370285e+99
 1.58864595e+79
 1.12489710e+77
 1.73795131e+67
 2.01994673e+71
 8.41245693e+87
 1.25133624e+83
 1.02883211e+90
 1.28088160e+93
 2.07838783e+78
 2.45831397e+76
 2.18020669e+79
 1.64706382e+76
 2.70939417e+79
 2.21619004e+89
 3.68094333e+90
 5.40562036e+80
 4.88780821e+71
 1.10225290e+83
 4.83177463e+101
 1.28619759e+93
 5.05687119e+94
 2.84663949e+95
 2.51330440e+03
 2.51746480e+03
 2.51903993e+03
 2.51885301e+03
 2.51577937e+03
 2.51330795e+03
 1.10346306e+221
 2.09775892e+205
 2.05700841e+171
 5.61374366e+125
 5.50101316e+195
 2.51330202e+03
 2.51335052e+03
 2.51328836e+03
 Inf
 2.51327621e+03
 2.51328286e+03
 2.51327444e+03
 Inf
 Inf
 Inf
 4.50197994e+220
 Inf
 Inf
 7.88683052e+251
 Inf
 Inf
 9.86163711e+174
 1.41365078e+191
 Inf
 Inf
 2.51328908e+03
 2.51328178e+03
 2.51328836e+03
 Inf
 Inf
 Inf
 Inf
 2.51330136e+03
 2.51332067e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 4.73864388e+211
 5.48214001e+123
 8.37790564e+122
 2.50878202e+116
 4.12696658e+123
 5.22979437e+129
 1.39469057e+131
 2.80310482e+120
 4.30788705e+110
 5.00798201e+128
 2.74753349e+129
 1.56571838e+116
 1.30623828e+120
 2.44174637e+118
 1.16100141e+85
 9.07843751e+75
 4.32809085e+87
 1.19555917e+102
 8.35166836e+96
 2.06368861e+91
 7.48339975e+98
 1.84988001e+92
 2.19396069e+79
 8.63297592e+74
 7.58816047e+71
 8.17312498e+75
 5.85365005e+89
 2.22651735e+89
 3.15537770e+104
 7.85327584e+121
 6.00252894e+120
 2.73473679e+98
 6.79773339e+104
 1.25790538e+113
 2.28646627e+96
 6.04793140e+115
 2.15851229e+129
 8.25791223e+116
 2.31898044e+134
 1.48530725e+143
 4.67425952e+120
 2.67002120e+112
 5.80936643e+103
 2.81687100e+127
 3.81470034e+234
 6.92665810e+182
 1.71032979e+126
 2.83820413e+127
 2.56719280e+140
 8.89087910e+153
 5.68805015e+130
 6.04259652e+134
 1.89639873e+151
 3.12482487e+130
 2.74394502e+117
 7.70381823e+115
 3.62077555e+121
 4.93779072e+122
 1.56331846e+116
 3.88576509e+129
 1.56365209e+147
 5.13660161e+118
 5.74251154e+91
 5.21664786e+92
 7.03551763e+92
 6.81273591e+100
 1.86530397e+133
 3.80611774e+122
 9.99852655e+97
 4.06705351e+106
 2.41430357e+125
 4.94306745e+122
 5.13247011e+140
 4.65077599e+172
 3.77358364e+194
 1.35333423e+198
 9.13312436e+133
 2.40410879e+115
 1.68718802e+126
 2.95336315e+141
 5.84348002e+162
 3.55960159e+142
 3.26926329e+139
 1.91675031e+194
 6.12677269e+155
 2.98077940e+126
 3.94081282e+155
 2.10490707e+217
 1.10847321e+196
 9.58203065e+159
 6.41329143e+151
 1.03160324e+122
 6.45112475e+139
 3.83591382e+234
 1.68957463e+245
 2.30201747e+167
 1.68390311e+101
 3.16330579e+85
 1.39716937e+96
 1.47490098e+110
 8.89802924e+259
 2.51327968e+03
 2.51328286e+03
 Inf
 3.00623450e+307
 1.06426730e+282
 Inf
 Inf
 3.48449839e+169
 3.27894852e+152
 1.38731641e+133
 3.49528889e+117
 4.17832980e+130
 9.07951266e+143
 Inf
 2.51332551e+03
 2.51336973e+03
 2.51329818e+03
 Inf
 Inf
 2.51332461e+03
 2.51355917e+03
 2.51333941e+03
 Inf
 2.51335956e+03
 2.51343706e+03
 2.51327983e+03
 2.51327413e+03
 2.51331094e+03
 2.51336973e+03
 2.51327501e+03
 2.51327424e+03
 2.51335218e+03
 2.51355284e+03
 2.51343546e+03
 2.51329757e+03
 Inf
 1.53329663e+185
 2.18922250e+129
 8.38596286e+118
 4.18981832e+141
 4.69798176e+131
 4.14433011e+123
 1.51215510e+136
 5.68396909e+137
 1.40591111e+125
 1.01757358e+120
 2.24334595e+122
 1.58156296e+113
 9.22263598e+123
 1.56000129e+148
 1.27267601e+151
 2.95189946e+132
 9.77831183e+108
 3.99035464e+103
 5.00333648e+142
 9.66344013e+171
 1.01094920e+121
 6.08951924e+121
 4.88162271e+152
 1.23032298e+169
 1.12461841e+153
 1.59696880e+124
 3.62759644e+140
 1.00849653e+159
 1.43460061e+156
 2.03844567e+181
 2.74306102e+185
 6.09815985e+159
 2.57664788e+150
 1.45071371e+161
 6.07180217e+159
 1.66045100e+175
 9.17969030e+161
 4.22165527e+130
 3.49327225e+117
 4.71618800e+105
 Inf
 2.51327514e+03
 1.21740384e+262
 Inf
 Inf
 Inf
 2.42774416e+252
 1.31579355e+188
 7.07012446e+192
 3.24603702e+248
 8.34336556e+222
 7.89754016e+136
 5.20743238e+126
 2.09671980e+136
 7.40208156e+168
 2.03101653e+180
 1.71297169e+134
 1.16923819e+232
 Inf
 5.20454371e+193
 1.60342276e+227
 Inf
 Inf
 5.44954546e+301
 Inf
 Inf
 1.72770325e+245
 1.11222789e+196
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.80688539e+187
 2.54797890e+281
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331056e+03
 2.51331939e+03
 2.51328231e+03
 Inf
 Inf
 2.98087217e+249
 4.93013278e+245
 2.55207518e+228
 6.55830813e+158
 1.73468026e+165
 3.76718675e+194
 3.90695055e+153
 1.46558197e+176
 8.15920187e+184
 3.66490194e+192
 8.54168705e+166
 9.68062349e+174
 2.34278605e+266
 Inf
 4.08539571e+276
 2.90223383e+224
 Inf
 Inf
 2.15958608e+211
 2.88235935e+175
 Inf
 Inf
 2.49391579e+278
 1.19063206e+224
 Inf
 Inf
 3.94893837e+289
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.51687289e+301
 Inf
 2.51328213e+03
 Inf
 3.47134827e+293
 Inf
 Inf
 Inf
 3.96300430e+289
 9.26432618e+143
 3.74515021e+194
 3.79325382e+268
 6.49538989e+151
 1.21457057e+171
 6.53745135e+201
 4.08671748e+136
 5.20710101e+126
 6.58143065e+164
 1.90011435e+131
 2.24128003e+126
 2.25732559e+173
 2.93165076e+129
 6.58840003e+133
 2.45828521e+159
 7.28263967e+154
 6.65023422e+178
 9.55699837e+159
 2.18120624e+129
 2.30740605e+130
 2.02264998e+181
 8.16724132e+184
 2.30941556e+161
 4.23449232e+141
 2.17447676e+121
 2.18246623e+156
 2.50647091e+145
 9.64901950e+113
 1.13890339e+135
 1.56609629e+147
 1.40388366e+191
 Inf
 Inf
 2.35460602e+162
 2.18962769e+135
 1.13478444e+181
 7.38964628e+146
 1.07640647e+190
 Inf
 2.33154860e+255
 4.32763688e+151
 9.25439302e+117
 1.63867235e+175
 1.32788751e+241
 3.81389073e+194
 3.65867038e+145
 2.18255828e+135
 9.09136856e+143
 1.33710905e+122
 4.19859914e+109
 1.25046791e+106
 1.44378614e+102
 1.49543883e+93
 1.29299068e+95
 2.36621589e+114
 3.98380294e+118
 1.32889689e+122
 5.40386451e+123
 1.09193469e+123
 1.72801620e+122
 3.85918610e+104
 1.08115513e+94
 3.38964949e+101
 1.02192573e+131
 9.21630378e+117
 2.49770341e+99
 3.01886373e+143
 5.79396797e+186
 5.24480626e+112
 8.87495256e+111
 2.38487739e+188
 6.12509828e+277
 4.21836169e+209
 3.42014600e+156
 6.08703542e+155
 3.82318654e+122
 1.80485733e+104
 5.15202307e+109
 2.15608911e+121
 9.75522184e+115
 2.16053096e+121
 1.88187104e+131
 6.89238919e+126
 4.30376026e+170
 6.92018137e+243
 4.20381038e+209
 3.09760069e+143
 2.48163466e+142
 8.50787450e+150
 2.30771839e+162
 2.31506888e+177
 6.40994502e+131
 7.62851107e+145
 2.61732899e+193
 4.72010590e+204
 1.90992621e+144
 2.97429535e+126
 5.65269316e+130
 2.30822478e+130
 1.18796637e+128
 7.66341459e+113
 1.02227504e+122
 2.90246641e+136
 4.69240374e+131
 5.60489552e+136
 2.37661077e+137
 1.19905824e+115
 1.01414148e+111
 1.16291829e+132
 3.05615652e+143
 4.94231862e+147
 3.82485700e+163
 4.84835520e+133
 2.16197576e+132
 9.46908602e+129
 3.02814218e+107
 8.25112932e+134
 8.13506470e+222
 1.31153383e+188
 1.23894345e+169
 4.61346005e+157
 3.14354814e+186
 4.18628910e+158
 4.44642069e+184
 3.82141202e+289
 2.51330651e+03
 Inf
 6.14155799e+114
 8.81697908e+153
 1.10635607e+158
 3.78723135e+178
 3.03787026e+189
 1.60291249e+296
 Inf
 Inf
 2.51328126e+03
 2.51331288e+03
 2.51328401e+03
 2.51329350e+03
 2.51331939e+03
 2.51332461e+03
 2.51331288e+03
 Inf
 Inf
 2.51329322e+03
 Inf
 Inf
 1.09052210e+238
 Inf
 Inf
 Inf
 1.71364128e+245
 7.74533104e+296
 Inf
 Inf
 Inf
 Inf
 8.09748508e+219
 1.09312739e+248
 Inf
 2.51337408e+03
 2.51330405e+03
 Inf
 2.51328231e+03
 2.51328029e+03
 2.51327495e+03
 2.51331094e+03
 Inf
 Inf
 Inf
 Inf
 2.51342602e+03
 2.51348057e+03
 Inf
 2.51330615e+03
 2.51327424e+03
 Inf
 2.51327432e+03
 2.51329548e+03
 2.51331288e+03
 2.51327768e+03
 Inf
 2.51329083e+03
 2.51327604e+03
 Inf
 Inf
 2.51329666e+03
 2.51346987e+03
 2.51352125e+03
 2.51334354e+03
 2.51336789e+03
 2.51334406e+03
 2.51334512e+03
 2.51349621e+03
 2.51332067e+03
 2.51327587e+03
 Inf
 Inf
 1.72838245e+197
 2.25268587e+183
 3.71798559e+160
 2.12696490e+128
 4.65883230e+120
 9.19204636e+117
 8.44451985e+150
 5.29415914e+236
 3.37973357e+215
 2.19235307e+152
 4.53766337e+188
 5.49338804e+264
 1.25079806e+178
 3.40515577e+156
 1.65918155e+175
 1.11099926e+158
 5.27943739e+149
 9.13135958e+161
 Inf
 Inf
 4.53379060e+184
 1.98249969e+236
 Inf
 2.39744613e+266
 3.44046856e+272
 1.07020811e+268
 6.22255557e+239
 3.86748481e+289
 2.01313909e+236
 1.60154349e+264
 8.54151486e+258
 1.17836092e+150
 3.55071955e+142
 3.70947527e+187
 2.17133333e+178
 1.23735364e+178
 8.96044860e+153
 1.00519290e+168
 Inf
 Inf
 6.25130323e+239
 1.48583579e+176
 6.43262930e+180
 1.07417053e+204
 7.90282900e+257
 Inf
 6.97002551e+182
 6.48101117e+179
 1.71016104e+186
 4.94794900e+175
 2.40217064e+163
 3.64811792e+192
 2.57312801e+258
 1.46419266e+237
 3.10572711e+143
 1.22320420e+105
 1.50209448e+136
 4.98296333e+185
 5.79238365e+171
 1.12882469e+174
 Inf
 Inf
 1.03072254e+159
 2.31718150e+148
 5.68192948e+130
 3.94621789e+155
 2.57448242e+150
 2.72479353e+168
 3.37233153e+197
 2.12335192e+182
 6.99950314e+224
 Inf
 2.51327414e+03
 Inf
 3.09166294e+189
 7.40248301e+183
 4.09631025e+207
 1.90112269e+208
 2.54025715e+213
 1.82124130e+270
 5.81942553e+202
 1.39906756e+167
 3.65501459e+181
 3.19119780e+201
 Inf
 2.51327412e+03
 2.00140672e+265
 2.20118857e+196
 2.68634011e+230
 2.11713921e+211
 1.43547675e+222
 Inf
 Inf
 2.02747480e+206
 7.41400849e+146
 1.48350560e+185
 1.89348702e+208
 4.24722000e+225
 3.85779281e+289
 1.81647528e+283
 Inf
 7.67133002e+256
 4.68832253e+211
 4.01576594e+276
 Inf
 Inf
 1.37478334e+202
 7.72766198e+145
 1.00990773e+159
 4.42155747e+134
 7.92892607e+119
 1.20887059e+127
 4.94522006e+122
 1.20986534e+127
 1.17474544e+118
 1.20929332e+124
 2.07713428e+141
 3.46685751e+131
 1.21506567e+142
 9.48302655e+159
 1.73029277e+145
 3.37039135e+147
 1.01578659e+133
 3.30023382e+215
 Inf
 Inf
 Inf
 2.56525522e+221
 6.47753800e+180
 7.06176210e+303
 7.49224234e+183
 5.73110526e+144
 2.39632272e+149
 9.50065354e+159
 1.12599755e+174
 7.38132322e+183
 7.31414251e+154
 1.19341970e+145
 9.33533269e+162
 1.14350987e+181
 7.31096938e+154
 1.69638112e+155
 7.03887494e+177
 5.06138927e+212
 1.92231966e+207
 1.08856486e+187
 2.24913774e+204
 1.71259181e+240
 1.15694467e+180
 2.94720188e+137
 Inf
 Inf
 Inf
 3.80666479e+241
 Inf
 2.17178658e+300
 8.20490001e+232
 Inf
 Inf
 Inf
 9.92479735e+278
 9.33639209e+160
 1.69845197e+155
 1.52367846e+136
 7.93483357e+137
 9.15465557e+160
 1.29741512e+188
 2.15230547e+143
 2.51344849e+03
 2.51635349e+03
 2.51706041e+03
 2.51866352e+03
 2.51847012e+03
 2.51815892e+03
 2.51659528e+03
 2.51491651e+03
 2.51386937e+03
 2.51378374e+03
 2.51371918e+03
 2.51334146e+03
 2.51328630e+03
 2.51328461e+03
 2.51345099e+03
 2.51354039e+03
 2.51334043e+03
 2.51330474e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.63065279e+227
 Inf
 Inf
 3.89344691e+268
 5.21170785e+203
 3.91968782e+190
 3.16511012e+186
 4.83508355e+223
 Inf
 Inf
 3.75494944e+162
 6.49708064e+158
 1.16689777e+224
 3.46410411e+261
 6.82476451e+197
 1.18146679e+182
 7.07880761e+177
 1.83459327e+200
 Inf
 Inf
 Inf
 Inf
 1.10675365e+190
 1.24358788e+183
 7.39424252e+183
 3.55500053e+133
 7.77286794e+120
 7.18160605e+170
 3.76903126e+268
 3.84616413e+178
 1.19839927e+145
 1.07582576e+190
 6.14738887e+239
 9.78355062e+174
 2.19403287e+135
 4.25092092e+138
 2.58379543e+155
 2.06368209e+179
 6.67106779e+265
 2.58554347e+281
 2.91426231e+214
 2.12848464e+182
 1.19141388e+203
 Inf
 Inf
 1.38162693e+202
 1.39894403e+167
 3.41464702e+222
 1.18430092e+179
 3.99736956e+216
 Inf
 9.87212608e+278
 4.96657192e+217
 3.17793140e+186
 1.17927016e+182
 2.98542420e+242
 1.09692257e+248
 2.47093817e+184
 1.08453150e+187
 3.89099125e+234
 2.44339338e+278
 1.93693594e+207
 1.46502627e+161
 1.43137728e+219
 7.23243866e+294
 8.27393958e+184
 1.33552311e+177
 Inf
 9.22068350e+209
 7.42583029e+183
 1.37390054e+303
 1.57928404e+308
 7.73577626e+200
 1.62124270e+229
 7.72368852e+296
 Inf
 Inf
 Inf
 2.51327968e+03
 2.51329032e+03
 Inf
 1.19507094e+182
 Inf
 Inf
 9.97131811e+278
 4.96656960e+217
 Inf
 Inf
 7.78440737e+200
 2.50819191e+221
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331446e+03
 2.51327690e+03
 2.51338112e+03
 2.51330832e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51344110e+03
 2.51342988e+03
 Inf
 2.51328565e+03
 2.51327514e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.93367747e+273
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327448e+03
 Inf
 Inf
 2.51342217e+03
 2.51451408e+03
 2.51391626e+03
 2.51352522e+03
 2.51391309e+03
 2.51426460e+03
 2.51418886e+03
 2.51377523e+03
 2.51386781e+03
 2.51406592e+03
 2.51353123e+03
 2.51330795e+03
 2.51341461e+03
 2.51331607e+03
 2.51328231e+03
 2.51349998e+03
 2.51353125e+03
 2.51339315e+03
 2.51345351e+03
 2.51390359e+03
 2.51388464e+03
 2.51351731e+03
 2.51343387e+03
 2.51350187e+03
 2.51365287e+03
 2.51379657e+03
 2.51390045e+03
 2.51420227e+03
 2.51452741e+03
 2.51404308e+03
 2.51393556e+03
 2.51421187e+03
 2.51442284e+03
 2.51418700e+03
 2.51403614e+03
 2.51447453e+03
 2.51486345e+03
 2.51419843e+03
 2.51392108e+03
 2.51484591e+03
 2.51462023e+03
 2.51402231e+03
 2.51433503e+03
 2.51454753e+03
 2.51503055e+03
 2.51511067e+03
 2.51435977e+03
 2.51417945e+03
 2.51428045e+03
 2.51414568e+03
 2.51403787e+03
 2.51436392e+03
 2.51401715e+03
 2.51393880e+03
 2.51452072e+03
 2.51491654e+03
 2.51469275e+03
 2.51416060e+03
 2.51445931e+03
 2.51433502e+03
 2.51382128e+03
 2.51391784e+03
 2.51454975e+03
 2.51490129e+03
 2.51423902e+03
 2.51366770e+03
 2.51379082e+03
 2.51548339e+03
 2.51573592e+03
 2.51412906e+03
 2.51403970e+03
 2.51419461e+03
 2.51389573e+03
 2.51376265e+03
 2.51374204e+03
 2.51351927e+03
 2.51371125e+03
 2.51383759e+03
 2.51367648e+03
 2.51365289e+03
 2.51381103e+03
 2.51422734e+03
 2.51389415e+03
 2.51349998e+03
 2.51365778e+03
 2.51416248e+03
 2.51459966e+03
 2.51406061e+03
 2.51367145e+03
 2.51403786e+03
 2.51450304e+03
 2.51423900e+03
 2.51379083e+03
 2.51383605e+03
 2.51396662e+03
 2.51362525e+03
 2.51392426e+03
 2.51473095e+03
 2.51425272e+03
 2.51332417e+03
 Inf
 2.51328608e+03
 2.51328586e+03
 Inf
 2.51341837e+03
 2.51442923e+03
 2.51426646e+03
 2.51366770e+03
 2.51375846e+03
 2.51402403e+03
 2.51401016e+03
 2.51403439e+03
 2.51411807e+03
 2.51381688e+03
 2.51367648e+03
 2.51364074e+03
 2.51392587e+03
 2.51431265e+03
 2.51388791e+03
 2.51379228e+03
 2.51393069e+03
 2.51360550e+03
 2.51346550e+03
 2.51348146e+03
 2.51379800e+03
 2.51348602e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.08076435e+301
 Inf
 1.98000535e+305
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327939e+03
 2.51328304e+03
 4.07536316e+234
 5.00956305e+269
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328362e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329322e+03
 Inf
 Inf
 2.51327452e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327415e+03
 2.51327780e+03
 Inf
 Inf
 2.51330943e+03
 2.51327469e+03
 Inf
 Inf
 Inf
 Inf
 2.51327659e+03
 2.51405886e+03
 2.50293779e+03
 Inf
 Inf
 Inf
 2.19617929e+300
 4.59061587e+287
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327843e+03
 Inf
 Inf
 2.51334094e+03
 2.51329491e+03
 Inf
 Inf
 2.51328481e+03
 Inf
 2.51327722e+03
 2.51327427e+03
 2.51330236e+03
 2.51328544e+03
 Inf
 2.51332687e+03
 2.51331607e+03
 Inf
 Inf
 2.51327578e+03
 2.51328908e+03
 Inf
 2.51327925e+03
 2.51330136e+03
 2.51329696e+03
 2.51327756e+03
 2.51328461e+03
 2.51331210e+03
 2.51336073e+03
 2.51337661e+03
 Inf
 2.51328812e+03
 2.51341313e+03
 2.51331689e+03
 2.51330509e+03
 2.51339521e+03
 2.51333690e+03
 2.51329666e+03
 2.51332240e+03
 2.51333790e+03
 2.51337853e+03
 2.51329666e+03
 2.51361588e+03
 2.51479157e+03
 2.51498884e+03
 2.51475260e+03
 2.51500426e+03
 2.51460880e+03
 2.51396167e+03
 2.51384509e+03
 2.51396166e+03
 2.51420995e+03
 2.51393392e+03
 2.51419652e+03
 2.51429452e+03
 2.51424683e+03
 2.51372317e+03
 2.51377238e+03
 2.51448983e+03
 2.51426059e+03
 2.51374338e+03
 2.51351927e+03
 2.51368027e+03
 2.51364676e+03
 2.51344849e+03
 2.51356450e+03
 2.51358412e+03
 2.51327460e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327479e+03
 2.51329322e+03
 Inf
 Inf
 2.51329434e+03
 2.51339042e+03
 2.51331772e+03
 2.51328982e+03
 2.51327460e+03
 Inf
 2.51327484e+03
 2.51329818e+03
 2.51330136e+03
 2.51328957e+03
 2.51327768e+03
 Inf
 2.51337661e+03
 2.51356665e+03
 2.51334672e+03
 2.51327587e+03
 2.51327527e+03
 2.51331689e+03
 2.51330006e+03
 2.51327805e+03
 2.51327427e+03
 2.51333394e+03
 2.51361705e+03
 2.51346724e+03
 2.51335273e+03
 2.50984148e+03
 2.51332871e+03
 2.51334888e+03
 2.51333154e+03
 2.51330371e+03
 Inf
 2.51331939e+03
 2.51339660e+03
 2.51327650e+03
 Inf
 Inf
 Inf
 2.51327490e+03
 2.51328720e+03
 2.51335841e+03
 2.51334512e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327514e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327578e+03
 Inf
 Inf
 Inf
 Inf
 2.51331446e+03
 2.51330795e+03
 2.51334888e+03
 2.51328565e+03
 Inf
 Inf
 2.51327415e+03
 2.51329083e+03
 2.51328675e+03
 2.51327416e+03
 2.51327424e+03
 2.51335783e+03
 2.51332197e+03
 2.51337158e+03
 2.51352721e+03
 2.51343149e+03
 2.51336790e+03
 2.51338242e+03
 2.51333890e+03
 Inf
 Inf
 2.51328342e+03
 2.51328481e+03
 2.51327659e+03
 Inf
 2.51330006e+03
 2.51335052e+03
 2.51327587e+03
 Inf
 Inf
 2.51327501e+03
 Inf
 Inf
 2.51331171e+03
 2.51334672e+03
 2.51327983e+03
 Inf
 Inf
 Inf
 Inf
 2.51327595e+03
 Inf
 Inf
 2.51332067e+03
 2.51328249e+03
 Inf
 Inf
 Inf
 2.51329491e+03
 2.51332197e+03
 Inf
 Inf
 2.51328304e+03
 2.51366521e+03
 2.51363947e+03
 2.51355600e+03
 2.51364194e+03
 2.51406947e+03
 2.51393068e+03
 2.51393537e+03
 2.51475746e+03