2.51353731e+03
 2.51339178e+03
 2.51334406e+03
 2.51351535e+03
 2.51357424e+03
 2.51364799e+03
 2.51364430e+03
 2.51348147e+03
 2.51356450e+03
 2.51355809e+03
 2.51341387e+03
 2.51342913e+03
 2.51371389e+03
 2.51358190e+03
 2.51336249e+03
 2.51349809e+03
 2.51352323e+03
 2.51338439e+03
 2.51347876e+03
 2.51350093e+03
 2.51367396e+03
 2.51386784e+03
 2.51357532e+03
 2.51350760e+03
 2.51349622e+03
 2.51361705e+03
 2.51407124e+03
 2.51382275e+03
 2.51356989e+03
 2.51412905e+03
 2.51387242e+03
 2.51334618e+03
 2.51331018e+03
 2.51351340e+03
 2.51378798e+03
 2.51387399e+03
 2.51370601e+03
 2.51341761e+03
 2.51343947e+03
 2.50831774e+03
 2.51337534e+03
 2.51343228e+03
 2.51372317e+03
 2.51380960e+03
 2.51376263e+03
 2.51365043e+03
 2.51340872e+03
 2.51346986e+03
 2.51350568e+03
 2.51348694e+03
 2.51371521e+03
 2.51360664e+03
 2.51344029e+03
 2.51375709e+03
 2.51400692e+03
 2.51384056e+03
 2.51350092e+03
 2.51346900e+03
 2.51356023e+03
 2.51335668e+03
 2.51334354e+03
 2.51355179e+03
 2.51361357e+03
 2.51350472e+03
 2.51374747e+03
 2.51425669e+03
 2.51395508e+03
 2.51350473e+03
 2.51370470e+03
 2.51386020e+03
 2.51361010e+03
 2.51359985e+03
 2.51376821e+03
 2.51378944e+03
 2.51387090e+03
 2.51428447e+03
 2.51401886e+03
 2.51373255e+03
 2.51373010e+03
 2.51368281e+03
 2.51350473e+03
 2.51337661e+03
 2.51347697e+03
 2.51347425e+03
 2.51347518e+03
 2.51352821e+03
 2.51370601e+03
 2.51402231e+03
 2.51373119e+03
 2.51339246e+03
 2.51330071e+03
 2.51330439e+03
 2.51329462e+03
 2.51350664e+03
 2.51357642e+03
 2.51340152e+03
 2.51341091e+03
 2.51328362e+03
 2.51328029e+03
 2.51331939e+03
 2.51327507e+03
 2.51327756e+03
 2.51331249e+03
 2.51346549e+03
 2.51344848e+03
 2.51336073e+03
 2.51375710e+03
 2.51363353e+03
 2.51454078e+03
 2.51459999e+03
 2.51350187e+03
 2.51341313e+03
 2.51335385e+03
 2.51356558e+03
 2.51355071e+03
 2.51349903e+03
 2.51337661e+03
 2.51333941e+03
 2.51336190e+03
 2.51351535e+03
 2.51399335e+03
 2.51354141e+03
 2.51348786e+03
 2.51364073e+03
 2.51332153e+03
 2.51327869e+03
 2.51329032e+03
 2.51332197e+03
 2.51331133e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327621e+03
 2.51333201e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331327e+03
 2.51328608e+03
 Inf
 2.51327722e+03
 2.51331486e+03
 2.51336191e+03
 2.51337408e+03
 2.51332328e+03
 Inf
 Inf
 2.51328765e+03
 2.51330615e+03
 2.51329577e+03
 2.51327733e+03
 2.51327756e+03
 2.51336850e+03
 2.51338243e+03
 2.51340294e+03
 2.51340151e+03
 2.51333154e+03
 2.51343070e+03
 2.51348603e+03
 2.51339383e+03
 2.51353123e+03
 2.51366521e+03
 2.51361356e+03
 2.51340799e+03
 2.51332551e+03
 2.51347252e+03
 2.51413643e+03
 2.51733551e+03
 2.52215873e+03
 2.52349270e+03
 2.52110120e+03
 2.51760017e+03
 2.51529549e+03
 2.51433098e+03
 2.51443768e+03
 2.51404832e+03
 2.51361125e+03
 2.51351633e+03
 2.51357422e+03
 2.51363833e+03
 2.51354554e+03
 2.51337096e+03
 2.51340726e+03
 2.51342602e+03
 2.51335441e+03
 2.51343948e+03
 2.51344275e+03
 2.51353936e+03
 2.51355285e+03
 2.51352821e+03
 2.51354969e+03
 2.51362055e+03
 2.51381250e+03
 2.51374883e+03
 2.51363713e+03
 2.51354658e+03
 2.51337918e+03
 2.51352322e+03
 2.51368409e+03
 2.51356023e+03
 2.51335956e+03
 2.51338177e+03
 2.51348602e+03
 2.51345774e+03
 2.51347966e+03
 2.51330103e+03
 2.51329406e+03
 2.51341686e+03
 2.51346550e+03
 2.51337158e+03
 2.51336548e+03
 2.51340081e+03
 2.51339314e+03
 2.51339383e+03
 2.51336668e+03
 2.51345774e+03
 2.51338638e+03
 2.51329007e+03
 2.51340366e+03
 2.51345605e+03
 2.51332328e+03
 2.51334146e+03
 2.51334942e+03
 2.51337661e+03
 2.51348970e+03
 2.51337918e+03
 2.51330759e+03
 2.51331771e+03
 2.51335783e+03
 2.51329519e+03
 2.51334672e+03
 2.51339800e+03
 2.51327640e+03
 2.51329911e+03
 2.51336729e+03
 2.51342140e+03
 2.51346811e+03
 2.51354554e+03
 2.51340726e+03
 2.51333346e+03
 2.51345099e+03
 2.51336850e+03
 2.51328608e+03
 2.51330651e+03
 2.51341313e+03
 2.51344601e+03
 2.51332197e+03
 2.51331288e+03
 2.51334250e+03
 2.51343546e+03
 2.51341387e+03
 2.51330405e+03
 2.51332024e+03
 2.51331446e+03
 2.51332197e+03
 2.51329818e+03
 2.51333690e+03
 2.51337035e+03
 2.51331327e+03
 2.51331982e+03
 2.51335441e+03
 2.51337661e+03
 2.51332918e+03
 2.51330071e+03
 2.51333941e+03
 2.51335611e+03
 2.51405183e+03
 2.51533526e+03
 2.51511029e+03
 2.51480630e+03
 2.51446151e+03
 2.51464811e+03
 2.51497564e+03
 2.51513217e+03
 2.51478176e+03
 2.51442496e+03
 2.51428649e+03
 2.51474295e+03
 2.51484852e+03
 2.51473092e+03
 2.51541593e+03
 2.51536054e+03
 2.51562752e+03
 2.51570147e+03
 2.51451850e+03
 2.51392588e+03
 2.51372986e+03
 2.51365165e+03
 2.51377523e+03
 2.51363593e+03
 2.51375986e+03
 2.51418701e+03
 2.51437436e+03
 2.51435345e+03
 2.51378371e+03
 2.51380368e+03
 2.51379942e+03
 2.51394365e+03
 2.51429248e+03
 2.51477447e+03
 2.51565509e+03
 2.51485338e+03
 2.51444425e+03
 2.51469513e+03
 2.51520602e+03
 2.51580466e+03
 2.51569796e+03
 2.51528981e+03
 2.51511594e+03
 2.51467862e+03
 2.51465784e+03
 2.51500951e+03
 2.51522545e+03
 2.51526745e+03
 2.51498342e+03
 2.51491659e+03
 2.51469991e+03
 2.51467642e+03
 2.51498862e+03
 2.51538118e+03
 2.51559417e+03
 2.51513209e+03
 2.51484097e+03
 2.51522815e+03
 2.51504897e+03
 2.51530392e+03
 2.51564896e+03
 2.51507560e+03
 2.51521696e+03
 2.51514834e+03
 2.51520873e+03
 2.51559107e+03
 2.51586834e+03
 2.51563358e+03
 2.51517573e+03
 2.51439529e+03
 2.51435169e+03
 2.51504109e+03
 2.51495216e+03
 2.51480138e+03
 2.51477947e+03
 2.51553093e+03
 2.51503313e+03
 2.51435978e+03
 2.51509432e+03
 2.51464346e+03
 2.51470214e+03
 2.51511049e+03
 2.51491135e+03
 2.51541301e+03
 2.51536921e+03
 2.51565199e+03
 2.51473333e+03
 2.51406770e+03
 2.51464580e+03
 2.51513214e+03
 2.51469988e+03
 2.51486085e+03
 2.51545688e+03
 2.51482850e+03
 2.51465754e+03
 2.51519771e+03
 2.51501993e+03
 2.51509428e+03
 2.51502261e+03
 2.51478911e+03
 2.51539270e+03
 2.51514017e+03
 2.51450523e+03
 2.51457671e+03
 2.51470705e+03
 2.51494466e+03
 2.51586188e+03
 2.51597875e+03
 2.51509972e+03
 2.51481867e+03
 2.51523093e+03
 2.51553995e+03
 2.51478910e+03
 2.51443352e+03
 2.51483098e+03
 2.51473805e+03
 2.51517023e+03
 2.51518751e+03
 2.51466217e+03
 2.51434946e+03
 2.51393878e+03
 2.51489870e+03
 2.51574494e+03
 2.51427052e+03
 2.51403964e+03
 2.51451406e+03
 2.51439733e+03
 2.51432486e+03
 2.51443349e+03
 2.51457232e+03
 2.51500952e+03
 2.51472132e+03
 2.51419081e+03
 2.51410356e+03
 2.51450964e+03
 2.51552796e+03
 2.51576702e+03
 2.51495494e+03
 2.51481379e+03
 2.51526447e+03
 2.51531561e+03
 2.51446583e+03
 2.51450716e+03
 2.51508364e+03
 2.51551607e+03
 2.51560643e+03
 2.51517846e+03
 2.51582359e+03
 2.51621896e+03
 2.51563666e+03
 2.51543352e+03
 2.51514298e+03
 2.51522529e+03
 2.51580146e+03
 2.51481613e+03
 2.51436810e+03
 2.51515929e+03
 2.51532970e+03
 2.51550713e+03
 2.51552244e+03
 2.51488354e+03
 2.51481386e+03
 2.51498081e+03
 2.51502012e+03
 2.51514025e+03
 2.51733147e+03
 2.51740606e+03
 2.51538693e+03
 2.51504386e+03
 2.51453409e+03
 2.51438482e+03
 2.51464814e+03
 2.51470238e+03
 2.51462492e+03
 2.51467152e+03
 2.51460650e+03
 2.51425274e+03
 2.51443347e+03
 2.51531530e+03
 2.51497556e+03
 2.51450083e+03
 2.51440589e+03
 2.51447888e+03
 2.51480137e+03
 2.51500432e+03
 2.51517576e+03
 2.51526734e+03
 2.51590685e+03
 2.51541880e+03
 2.51515662e+03
 2.51571680e+03
 2.51495235e+03
 2.51501711e+03
 2.51532383e+03
 2.51493949e+03
 2.51459965e+03
 2.51450970e+03
 2.51517024e+03
 2.51538705e+03
 2.51528128e+03
 2.51515114e+03
 2.51489872e+03
 2.51472138e+03
 2.51536674e+03
 2.51610738e+03
 2.51539557e+03
 2.51467627e+03
 2.51478654e+03
 2.51465747e+03
 2.51704820e+03
 2.51722163e+03
 2.51470703e+03
 2.51578243e+03
 2.51505429e+03
 2.51451187e+03
 2.51487343e+03
 2.51341912e+03
 Inf
 Inf
 Inf
 2.51327856e+03
 2.51328884e+03
 2.51329911e+03
 Inf
 Inf
 Inf
 2.51330202e+03
 2.51330270e+03
 2.51327701e+03
 2.51330509e+03
 2.51354865e+03
 2.51345435e+03
 2.51328195e+03
 2.51333640e+03
 2.51327465e+03
 Inf
 2.51350187e+03
 2.51346461e+03
 2.51337221e+03
 2.51339452e+03
 2.51336608e+03
 2.51340799e+03
 2.51346899e+03
 2.51342835e+03
 2.51354038e+03
 2.51331897e+03
 Inf
 2.51330269e+03
 2.51337035e+03
 2.51343228e+03
 2.51332240e+03
 2.51328675e+03
 Inf
 Inf
 2.51343387e+03
 2.51368664e+03
 2.51339042e+03
 2.51332110e+03
 2.51333201e+03
 2.51327640e+03
 2.51333059e+03
 2.51332461e+03
 Inf
 2.51328932e+03
 2.51338177e+03
 2.51333790e+03
 2.51336368e+03
 2.51347429e+03
 2.51348695e+03
 2.51341988e+03
 2.51336729e+03
 2.51340152e+03
 2.51345945e+03
 2.51341761e+03
 2.51347607e+03
 2.51368408e+03
 2.51351146e+03
 2.51327805e+03
 2.51330474e+03
 2.51346724e+03
 2.51348330e+03
 2.51331018e+03
 2.51338772e+03
 2.51347518e+03
 2.51333640e+03
 2.51367145e+03
 2.51355599e+03
 2.51333443e+03
 2.51342447e+03
 2.51333739e+03
 2.51329462e+03
 2.51334726e+03
 2.51335668e+03
 2.51335052e+03
 2.51332284e+03
 2.51331648e+03
 2.51333249e+03
 2.51343149e+03
 2.51355811e+03
 2.51342370e+03
 2.51330236e+03
 Inf
 2.51334512e+03
 2.51332328e+03
 Inf
 2.51327540e+03
 2.51331249e+03
 2.51346899e+03
 2.51332110e+03
 2.51329636e+03
 2.51337918e+03
 2.51332328e+03
 2.51327612e+03
 Inf
 2.51340366e+03
 2.51371521e+03
 2.51341988e+03
 2.51331648e+03
 2.51329787e+03
 2.51327435e+03
 2.51333840e+03
 2.51359303e+03
 2.51344029e+03
 2.51331171e+03
 2.51331057e+03
 2.51347075e+03
 2.51344518e+03
 2.51331607e+03
 2.51333443e+03
 Inf
 Inf
 2.51333201e+03
 2.51331133e+03
 Inf
 Inf
 2.51327954e+03
 2.51328523e+03
 Inf
 Inf
 2.51327424e+03
 2.51327424e+03
 Inf
 2.51327595e+03
 2.51339870e+03
 2.51348329e+03
 2.51335783e+03
 2.51332871e+03
 2.51331486e+03
 2.51329519e+03
 2.51329214e+03
 Inf
 Inf
 2.51327424e+03
 Inf
 Inf
 Inf
 Inf
 2.51341462e+03
 2.51336911e+03
 2.51335329e+03
 2.51330337e+03
 2.51330723e+03
 2.51350187e+03
 2.51335554e+03
 2.51329849e+03
 2.51340799e+03
 2.51341167e+03
 2.51327490e+03
 2.51333201e+03
 2.51353426e+03
 2.51329350e+03
 2.51328362e+03
 2.51329696e+03
 Inf
 2.51334942e+03
 2.51355494e+03
 2.51330202e+03
 2.51334942e+03
 2.51360094e+03
 2.51343626e+03
 2.51343780e+03
 2.51339246e+03
 2.51333249e+03
 2.51333640e+03
 2.51327722e+03
 2.51328630e+03
 2.51350473e+03
 2.51349430e+03
 2.51329757e+03
 2.51335217e+03
 2.51336250e+03
 2.51328765e+03
 2.51334942e+03
 2.51330759e+03
 2.51328587e+03
 2.51338974e+03
 2.51330236e+03
 Inf
 2.51328401e+03
 Inf
 Inf
 3.48430911e+295
 1.94325402e+209
 9.13824526e+271
 Inf
 Inf
 Inf
 Inf
 2.51329378e+03
 Inf
 Inf
 Inf
 Inf
 2.51327424e+03
 2.51330337e+03
 2.51352721e+03
 2.51349526e+03
 2.51333443e+03
 Inf
 Inf
 2.51327911e+03
 2.51331772e+03
 2.51347340e+03
 2.51333840e+03
 2.51330906e+03
 2.51330796e+03
 Inf
 Inf
 2.51328401e+03
 2.51330236e+03
 2.51337158e+03
 2.51342447e+03
 2.51330759e+03
 2.51328195e+03
 2.51331526e+03
 2.51337346e+03
 2.51334094e+03
 2.51329696e+03
 2.51327514e+03
 2.51332417e+03
 2.51336368e+03
 2.51328381e+03
 Inf
 Inf
 Inf
 Inf
 2.51336973e+03
 2.51341686e+03
 2.51331689e+03
 2.51327883e+03
 2.51330337e+03
 2.51329818e+03
 2.51327469e+03
 2.51327448e+03
 2.51332596e+03
 2.51341462e+03
 2.51328652e+03
 2.51331133e+03
 2.51331446e+03
 2.51336850e+03
 2.51346637e+03
 2.51329462e+03
 2.51328401e+03
 2.51334888e+03
 2.51335330e+03
 2.51329943e+03
 2.51327830e+03
 2.51329057e+03
 2.51359303e+03
 2.51354139e+03
 2.51328323e+03
 2.51327578e+03
 2.51327578e+03
 2.51328523e+03
 2.51351437e+03
 2.51370471e+03
 2.51336912e+03
 2.51333443e+03
 2.51331772e+03
 2.51330337e+03
 2.51337598e+03
 2.51336668e+03
 2.51331366e+03
 2.51333201e+03
 2.51329322e+03
 2.51329849e+03
 2.51331171e+03
 2.51330405e+03
 Inf
 Inf
 2.51343867e+03
 2.51365656e+03
 2.51354243e+03
 2.51338839e+03
 2.51331607e+03
 2.51329378e+03
 2.51327733e+03
 Inf
 2.51328982e+03
 2.51330474e+03
 Inf
 Inf
 2.51329083e+03
 2.51335107e+03
 2.51330651e+03
 2.51330722e+03
 2.51338112e+03
 2.51328587e+03
 Inf
 2.51333297e+03
 2.51335555e+03
 2.51332596e+03
 2.51327745e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51359303e+03
 2.51360564e+03
 Inf
 Inf
 Inf
 2.51336850e+03
 2.51351340e+03
 2.51339383e+03
 2.51349434e+03
 2.51340654e+03
 2.51344518e+03
 2.51358522e+03
 2.51339800e+03
 2.51372717e+03
 2.51371899e+03
 2.51363713e+03
 2.51406592e+03
 2.51410183e+03
 2.51390833e+03
 2.51359416e+03
 2.51363711e+03
 2.51365902e+03
 2.51357314e+03
 2.51378655e+03
 2.51404484e+03
 2.51419273e+03
 2.51375571e+03
 2.51356558e+03
 2.51380522e+03
 2.51418511e+03
 2.51388947e+03
 2.51328441e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329462e+03
 2.51327939e+03
 2.51327474e+03
 2.51329434e+03
 2.51331133e+03
 2.51456552e+03
 2.51563068e+03
 2.51392106e+03
 Inf
 Inf
 2.51327640e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328362e+03
 Inf
 Inf
 2.75885226e+302
 1.46860073e+195
 1.42847588e+246
 1.62217199e+296
 Inf
 Inf
 Inf
 3.45781843e+272
 Inf
 Inf
 7.08422870e+187
 2.48675093e+159
 3.14490869e+186
 6.50488677e+214
 9.00000056e+206
 1.54319510e+294
 Inf
 Inf
 1.36471792e+241
 7.53645098e+168
 1.45657013e+162
 4.44295165e+199
 1.78850229e+298
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.97488023e+208
 6.11780316e+159
 1.07023917e+148
 1.08507397e+199
 3.38931797e+295
 Inf
 Inf
 Inf
 Inf
 Inf
 1.20622169e+262
 1.92399786e+192
 Inf
 Inf
 Inf
 Inf
 Inf
 1.59146351e+294
 1.36752652e+202
 3.39437797e+197
 2.71399495e+198
 1.87750063e+220
 3.83471844e+182
 2.07557188e+179
 1.02104665e+261
 Inf
 8.84096741e+288
 4.12268391e+183
 7.63705493e+215
 Inf
 1.06670103e+226
 1.25619005e+157
 2.54712205e+258
 Inf
 Inf
 2.92138083e+214
 4.73640363e+204
 Inf
 Inf
 2.16381909e+217
 1.02974220e+261
 1.08306658e+148
 1.92195214e+194
 Inf
 Inf
 Inf
 3.43271135e+197
 2.45702656e+271
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.28270262e+209
 1.15282100e+180
 Inf
 2.47069854e+257
 5.71253013e+174
 5.85079257e+160
 3.71853140e+200
 1.03202791e+276
 2.97234457e+238
 1.48244586e+234
 7.15229942e+303
 1.68928659e+175
 1.73510379e+112
 2.90923763e+122
 1.68234850e+186
 1.98321061e+236
 3.98264162e+126
 3.40847761e+109
 5.77684339e+162
 1.49465147e+143
 1.21076266e+129
 3.11220084e+154
 4.61540684e+139
 8.54316153e+141
 5.11966344e+191
 Inf
 Inf
 1.37039330e+198
 3.74794488e+200
 7.42345432e+252
 4.04585313e+227
 7.52612448e+168
 7.37119481e+194
 2.48016099e+203
 4.48013613e+199
 2.12588529e+300
 1.59875013e+292
 Inf
 Inf
 5.74330347e+285
 1.51404455e+185
 2.05181509e+169
 Inf
 8.24548876e+232
 3.42857992e+156
 2.10626128e+182
 7.86188836e+136
 1.62675115e+172
 6.91645867e+274
 6.58995121e+139
 1.23998839e+134
 2.04855224e+154
 1.10645151e+158
 1.96318917e+206
 2.88208763e+307
 Inf
 Inf
 Inf
 Inf
 1.03637945e+306
 Inf
 1.58712206e+138
 4.00620640e+132
 Inf
 Inf
 Inf
 Inf
 3.32902067e+248
 4.21575699e+158
 1.70225160e+186
 2.66466786e+275
 7.14643354e+192
 2.75970842e+124
 1.27109633e+130
 1.44251999e+161
 1.92888875e+194
 Inf
 Inf
 7.54630302e+294
 3.95042592e+234
 4.08256853e+177
 Inf
 Inf
 4.56367833e+220
 Inf
 Inf
 1.85384950e+298
 1.43490498e+191
 6.69918554e+178
 1.29981068e+140
 1.19580482e+166
 2.41189092e+243
 Inf
 Inf
 Inf
 6.25849832e+277
 1.62234610e+227
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329607e+03
 2.51327897e+03
 5.94257407e+285
 Inf
 7.83613168e+296
 3.51532085e+291
 Inf
 5.63280280e+264
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327555e+03
 2.51328675e+03
 2.51331689e+03
 2.51329187e+03
 Inf
 Inf
 Inf
 2.51330169e+03
 Inf
 9.28993286e+133
 1.51074599e+115
 Inf
 2.51335218e+03
 2.51327520e+03
 4.97107490e+240
 5.49630362e+241
 Inf
 2.51330071e+03
 2.51373120e+03
 2.51334997e+03
 Inf
 Inf
 Inf
 4.56120253e+184
 6.52261028e+158
 2.16520007e+196
 3.13616066e+284
 3.92995804e+159
 4.27322662e+138
 6.05133562e+239
 Inf
 Inf
 7.66838266e+283
 Inf
 2.51331133e+03
 Inf
 3.82742695e+297
 Inf
 Inf
 Inf
 Inf
 7.93021412e+296
 1.34742407e+285
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.54910678e+291
 Inf
 4.91503783e+273
 4.37095894e+282
 2.71470353e+158
 7.04437811e+177
 Inf
 Inf
 Inf
 Inf
 3.00629495e+238
 4.21203458e+158
 1.49535192e+160
 9.01727933e+271
 1.06126585e+230
 6.19246486e+115
 6.41761988e+122
 6.79078358e+243
 3.51231332e+131
 2.00189645e+101
 7.84970989e+119
 1.02414049e+122
 1.34250296e+154
 Inf
 Inf
 Inf
 3.48428088e+272
 3.05489517e+135
 3.15086994e+201
 Inf
 2.16278559e+233
 2.72787538e+198
 7.89345089e+257
 5.81256951e+202
 7.18854494e+157
 1.53184223e+280
 2.51327441e+03
 Inf
 4.43214294e+282
 Inf
 Inf
 Inf
 Inf
 1.25401696e+169
 1.00362332e+306
 2.51327416e+03
 Inf
 Inf
 1.83082500e+298
 1.03006986e+306
 8.20877293e+232
 7.48487972e+190
 Inf
 Inf
 Inf
 1.21410149e+232
 Inf
 4.40890127e+282
 4.33575973e+151
 Inf
 Inf
 Inf
 7.31452662e+303
 Inf
 5.50696423e+306
 2.59687003e+164
 1.45526884e+162
 Inf
 Inf
 2.51328697e+03
 Inf
 6.85193901e+164
 1.55684694e+292
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.04626429e+236
 1.95365788e+194
 2.10520487e+211
 1.43547465e+222
 1.06632693e+301
 3.99395775e+237
 Inf
 2.51327432e+03
 Inf
 1.01324560e+249
 1.59237496e+147
 1.65182683e+168
 3.98694344e+216
 5.78391326e+202
 5.18969494e+191
 6.95662277e+243
 2.50282941e+159
 2.20530720e+156
 4.39682542e+220
 7.52032536e+168
 6.74243139e+127
 4.79094715e+119
 2.69828484e+168
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.35553541e+253
 2.98899057e+267
 Inf
 Inf
 2.12024328e+205
 3.90768883e+173
 4.94373108e+152
 7.42353045e+148
 5.68250640e+130
 1.61295629e+149
 8.47118198e+175
 1.90526907e+265
 Inf
 4.05909309e+155
 6.01941717e+114
 2.77096809e+165
 1.46962439e+176
 4.52169107e+168
 8.94598415e+153
 4.84004174e+133
 5.83023919e+162
 5.18440513e+96
 6.90011623e+86
 5.47793217e+125
 2.38364818e+149
 4.42720670e+199
 1.22620295e+127
 1.34871988e+91
 7.62828796e+115
 1.06262116e+125
 3.82408845e+115
 1.16858093e+101
 4.83324732e+84
 1.18495804e+90
 1.63563152e+98
 2.97576868e+81
 1.64850705e+76
 1.94037676e+113
 1.89515118e+115
 5.87718095e+93
 6.81529677e+100
 3.60470876e+86
 7.44883071e+75
 6.73026432e+80
 5.13421328e+102
 1.55436632e+111
 1.73442901e+102
 2.14685934e+92
 3.57717718e+102
 2.45726765e+107
 5.31472161e+110
 2.90773375e+122
 1.61676670e+97
 1.39345335e+69
 3.41382922e+69
 3.91512268e+103
 2.23563757e+97
 6.06316916e+73
 1.00846977e+80
 2.71413026e+103
 3.10380498e+118
 2.45552073e+86
 3.78755284e+68
 1.86846202e+77
 1.99136362e+70
 6.00118089e+73
 2.47365075e+88
 1.58028385e+80
 5.21265845e+85
 3.14983136e+86
 1.28000405e+69
 1.74944620e+62
 2.88182720e+72
 1.96564437e+100
 1.88710236e+114
 4.52486316e+92
 2.43837044e+86
 1.16046409e+87
 3.15163901e+86
 1.57175945e+90
 7.79506625e+89
 4.25443238e+84
 2.60298376e+104
 5.67188129e+135
 1.86461514e+106
 6.36203022e+109
 2.71798003e+172
 8.45837124e+122
 6.22760989e+84
 3.15897838e+105
 1.64606282e+107
 4.33461482e+97
 7.33313397e+132
 4.14476920e+135
 2.48429652e+113
 2.72978013e+98
 1.55420900e+74
 4.66752787e+81
 1.47387206e+99
 3.34995119e+87
 1.06315617e+81
 5.83548470e+79
 1.59306293e+97
 5.49775816e+107
 1.57301558e+128
 4.13960277e+135
 3.01533703e+102
 3.88974885e+126
 6.87453149e+187
 1.20000198e+145
 8.41843187e+99
 4.63983247e+104
 1.57668546e+124
 3.88629265e+113
 3.87837135e+105
 3.77481533e+122
 9.27013543e+162
 3.63605944e+120
 1.02438100e+122
 6.02737126e+134
 8.41757409e+96
 2.61648274e+105
 7.11566765e+111
 2.25788102e+106
 6.41995024e+108
 4.29340784e+110
 1.68446469e+126
 3.16845549e+96
 1.67044722e+100
 1.38974508e+101
 2.09343402e+99
 3.69548564e+119
 5.34781973e+86
 2.44500609e+85
 6.48500162e+87
 3.48910504e+99
 1.86579601e+108
 1.05826150e+99
 3.07349172e+154
 2.03937742e+169
 6.14847854e+121
 4.50520155e+165
 3.41328448e+222
 6.42332827e+228
 Inf
 3.78116768e+297
 3.40045226e+215
 8.09844024e+238
 1.46059387e+237
 5.82796117e+244
 8.74764834e+288
 1.34626495e+285
 1.04046990e+212
 4.48605665e+199
 3.74886523e+200
 2.16245259e+127
 9.45689308e+129
 2.14517894e+196
 Inf
 Inf
 1.10917746e+190
 1.61773525e+229
 1.37894976e+269
 5.21197296e+203
 4.68010777e+111
 1.52712328e+108
 1.18157330e+166
 6.14561880e+121
 8.99465971e+128
 9.85867698e+227
 4.07963250e+177
 1.07344165e+204
 Inf
 1.58395241e+201
 7.88888056e+149
 6.17925138e+280
 2.51328304e+03
 2.51329214e+03
 Inf
 1.62483947e+277
 1.63237219e+189
 8.05701723e+238
 Inf
 Inf
 1.69473624e+175
 4.56879778e+165
 1.90783253e+209
 2.65276981e+193
 6.88869880e+182
 3.34975874e+215
 4.02461715e+216
 7.42585677e+235
 1.48655222e+215
 2.43784780e+257
 2.91044791e+307
 7.22549226e+303
 Inf
 Inf
 Inf
 Inf
 2.51328481e+03
 2.51330906e+03
 2.51327690e+03
 2.51327460e+03
 Inf
 8.54610189e+222
 1.48393916e+215
 1.01669423e+306
 2.97617661e+249
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.82832968e+283
 Inf
 Inf
 Inf
 9.59906809e+162
 1.72523353e+130
 5.66451800e+202
 2.43334660e+243
 Inf
 Inf
 3.09711510e+189
 Inf
 Inf
 7.24059426e+274
 Inf
 3.44109155e+197
 Inf
 Inf
 2.83910547e+259
 Inf
 Inf
 Inf
 2.47792424e+257
 Inf
 2.46662775e+278
 1.00236899e+205
 6.46354080e+180
 3.64758327e+247
 4.33329091e+299
 7.84783707e+251
 Inf
 2.51327621e+03
 Inf
 2.51329726e+03
 2.51335052e+03
 Inf
 2.51327780e+03
 2.51331210e+03
 2.51339452e+03
 2.51333443e+03
 Inf
 2.51328652e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.68259213e+283
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327507e+03
 Inf
 2.51943669e+257
 6.94237973e+182
 1.50201255e+160
 1.92326311e+174
 4.56912042e+231
 2.72166320e+302
 2.31896335e+255
 3.42628782e+295
 3.75085542e+297
 2.42449841e+252
 Inf
 2.51346987e+03
 2.51410715e+03
 2.51379799e+03
 2.51384204e+03
 2.51470704e+03
 2.51468239e+03
 2.51351633e+03
 2.51332197e+03
 2.51328362e+03
 2.51327650e+03
 2.51329109e+03
 Inf
 1.14441937e+146
 1.23155636e+183
 Inf
 Inf
 2.51337471e+03
 2.51329135e+03
 Inf
 2.51328160e+03
 2.51327817e+03
 2.51328982e+03
 Inf
 Inf
 2.51327415e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51338374e+03
 2.51337979e+03
 2.51327540e+03
 2.51388325e+03
 2.51351535e+03
 Inf
 Inf
 Inf
 2.51327883e+03
 2.51327830e+03
 Inf
 Inf
 Inf
 2.51327548e+03
 Inf
 2.62476248e+281
 Inf
 Inf
 2.15289563e+233
 Inf
 Inf
 5.15990488e+185
 1.66896268e+175
 3.66588497e+297
 1.80020586e+231
 Inf
 2.51327415e+03
 2.51327659e+03
 2.51327968e+03
 2.51328461e+03
 2.51328502e+03
 Inf
 Inf
 2.51327413e+03
 Inf
 8.65181584e+242
 Inf
 2.51327570e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327817e+03
 Inf
 1.43267327e+303
 Inf
 1.35877541e+241
 9.62807768e+210
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.87696967e+278
 7.48570155e+235
 1.55213923e+294
 Inf
 3.15871767e+232
 9.27974505e+259
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330071e+03
 Inf
 Inf
 Inf
 Inf
 1.62149012e+292
 5.65074365e+233
 3.72154115e+162
 3.55946073e+142
 1.11268726e+146
 1.85258746e+220
 Inf
 1.05006264e+276
 6.22783753e+239
 1.45279330e+219
 6.14525378e+155
 1.47446354e+141
 1.13679961e+180
 2.51674991e+145
 1.88504988e+265
 Inf
 4.22953660e+209
 1.57264268e+170
 8.07676197e+156
 Inf
 Inf
 3.95897609e+289
 4.22827035e+158
 4.39983497e+220
 Inf
 Inf
 2.51327448e+03
 Inf
 1.67110619e+172
 8.92887428e+206
 3.63266666e+180
 4.22375944e+225
 Inf
 2.47256302e+188
 1.59422127e+135
 8.92600253e+111
 2.15773444e+121
 1.71586610e+165
 2.37106903e+146
 2.75301450e+117
 6.86569506e+126
 1.73082259e+142
 1.40173620e+191
 3.38805178e+197
 1.28357133e+151
 1.82695548e+140
 2.23810606e+254
 Inf
 8.47091176e+222
 2.34567235e+256
 Inf
 8.29056322e+184
 6.15196682e+167
 7.36934100e+194
 6.96141202e+243
 Inf
 5.86500201e+171
 2.86379523e+127
 1.06177795e+148
 2.68121613e+191
 1.59483017e+135
 4.39428818e+143
 2.36046448e+146
 2.77162777e+106
 6.20318237e+106
 3.37962573e+100
 1.38070302e+131
 2.58066096e+170
 1.22875599e+247
 1.72478822e+290
 Inf
 1.11691885e+136
 1.01315022e+133
 6.82621704e+243
 Inf
 Inf
 Inf
 1.73925126e+186
 1.32209345e+144
 2.22469129e+204
 1.59936653e+164
 2.62829575e+218
 Inf
 Inf
 Inf
 Inf
 1.73819375e+186
 1.07142264e+238
 6.94386235e+230
 2.54620773e+116
 2.63291424e+105
 9.04251676e+160
 1.02084884e+212
 2.50846186e+142
 7.25200902e+142
 6.75756813e+128
 4.44715619e+117
 4.38556672e+184
 Inf
 8.02382213e+257
 7.05069747e+187
 4.05715867e+177
 4.94847458e+269
 Inf
 Inf
 Inf
 Inf
 2.36784124e+253
 1.99281110e+288
 Inf
 2.26352896e+239
 4.98236069e+175
 2.60442417e+155
 1.17643163e+132
 3.41263769e+109
 8.28378730e+107
 6.90003458e+294
 Inf
 2.02014852e+113
 1.36899543e+97
 2.22376879e+109
 2.49204587e+99
 7.94351908e+93
 1.48257153e+118
 3.52207276e+149
 2.92281725e+136
 2.31998002e+139
 7.00793860e+177
 5.88989484e+162
 2.92689425e+129
 2.17632497e+105
 2.08106288e+136
 1.11884260e+174
 2.37462312e+146
 4.01462410e+118
 1.95224807e+98
 1.22494494e+116
 5.02898031e+142
 1.30025233e+121
 5.89046579e+121
 1.70253233e+158
 1.65984752e+175
 7.08365054e+175
 7.38298057e+146
 7.10849269e+123
 3.52662832e+142
 9.83429925e+163
 2.04373261e+169
 7.29649367e+154
 1.07245442e+125
 5.73895740e+87
 4.18506488e+81
 2.14063576e+105
 1.20278981e+127
 1.15491630e+150
 2.57115517e+150
 2.44263895e+125
 9.20357320e+117
 9.43055828e+129
 3.72610260e+111
 1.88140829e+112
 3.61182899e+140
 2.27283747e+106
 3.59513799e+85
 4.48236405e+92
 1.88390538e+86
 4.90871930e+88
 9.36667215e+114
 5.25328773e+92
 9.75023421e+88
 2.66576687e+96
 2.73522646e+103
 8.04763451e+112
 1.76974140e+99
 1.15718707e+97
 3.57426270e+120
 4.05647977e+137
 5.55943441e+107
 3.81986121e+98
 9.36029189e+129
 2.07828338e+233
 2.37263684e+266
 2.11979482e+141
 2.39429882e+149
 5.75430212e+161
 2.01160299e+101
 6.38408532e+122
 3.75080136e+182
 4.10989162e+137
 7.67940913e+113
 1.18221691e+128
 4.55990790e+211
 Inf
 Inf
 4.25755156e+112
 1.08353216e+94
 1.53665194e+227
 1.06347270e+227
 Inf
 6.28927836e+218
 1.91082812e+133
 4.59306428e+139
 1.12174643e+218
 Inf
 Inf
 Inf
 2.70118274e+218
 3.17823110e+186
 1.07540637e+204
 5.14082863e+193
 1.78761306e+283
 6.97929665e+230
 2.98176920e+132
 3.05652489e+143
 4.72765971e+273
 3.74100108e+297
 2.56569214e+228
 1.51225490e+163
 8.97224201e+91
 1.28195870e+93
 7.31618774e+132
 2.21563849e+204
 Inf
 2.79030066e+185
 3.49265777e+131
 5.05385239e+142
 1.29088888e+188
 2.94114638e+136
 6.99518980e+105
 8.27433680e+107
 6.38869026e+158
 6.09649373e+239
 2.26713072e+204
 1.07877744e+204
 1.33652167e+241
 Inf
 2.16025227e+233
 4.79845750e+240
 Inf
 Inf
 2.56119337e+251
 1.69347771e+245
 7.95857631e+257
 Inf
 6.25017135e+239
 8.51346323e+258
 5.70601485e+285
 2.35154238e+177
 2.01132333e+187
 1.53555133e+294
 Inf
 6.65396912e+201
 2.47467933e+118
 1.06109000e+99
 5.88318898e+138
 1.14716887e+135
 3.18925890e+116
 2.50114066e+102
 8.47654404e+102
 2.68984716e+144
 4.58883307e+157
 2.06481979e+179
 1.12946247e+213
 7.34219296e+154
 6.04533840e+120
 3.75948484e+128
 2.15748816e+152
 1.33312733e+153
 7.42327021e+148
 2.05648436e+154
 1.45619920e+234
 Inf
 1.11724832e+199
 6.58564610e+181
 1.99349704e+223
 3.33618721e+293
 1.36155248e+184
 7.86379309e+136
 1.67956705e+240
 1.03982530e+276
 Inf
 Inf
 Inf
 2.15917383e+182
 3.28587074e+152
 3.74510904e+268
 3.22941665e+201
 4.72681625e+204
 7.00676788e+187
 5.17677837e+191
 Inf
 Inf
 Inf
 Inf
 Inf
 1.26290349e+178
 7.42019419e+165
 2.41174145e+243
 Inf
 1.76985670e+142
 1.72375581e+145
 8.46607042e+196
 1.46304605e+161
 2.40827300e+243
 3.01894555e+242
 2.59681076e+258
 9.62151875e+129
 4.03579469e+136
 Inf
 1.04635940e+261
 4.27802405e+225
 1.99786564e+236
 3.18501787e+186
 1.19240642e+203
 Inf
 1.57100772e+294
 Inf
 Inf
 2.05845326e+236
 1.31486836e+121
 1.01034741e+91
 4.24591504e+90
 1.24170359e+106
 1.76632038e+99
 5.17689921e+102
 2.26956681e+103
 1.49729263e+115
 2.55690490e+140
 1.56967028e+116
 1.20295747e+114
 2.25931152e+106
 2.94274749e+126
 7.07595644e+157
 3.38612623e+169
 7.29554264e+147
 4.73913814e+70
 2.82713087e+88
 Inf
 6.11073024e+141
 5.68241031e+117
 1.72571648e+142
 2.34195973e+160
 3.82607378e+122
 4.67500225e+131
 1.06931209e+147
 1.81351396e+104
 1.64407039e+98
 4.63684844e+104
 3.84011482e+104
 6.23347914e+102
 3.46423349e+117
 1.45979237e+141
 6.81299523e+107
 1.29919788e+95
 1.01891164e+141
 9.58420592e+151
 5.75118034e+135
 2.14498816e+178
 1.15807642e+262
 4.89078279e+223
 1.24958790e+183
 3.20046909e+166
 7.37216534e+146
 5.85184970e+162
 1.02766180e+235
 9.27665271e+216
 Inf
 Inf
 4.71234506e+157
 1.03263245e+122
 2.57211135e+170
 2.74698378e+235
 7.01134110e+243
 2.88619077e+151
 2.81477560e+120
 9.76388459e+163
 7.36531182e+183
 1.90534757e+131
 5.66507968e+104
 1.16494648e+101
 3.00560433e+115
 7.34470178e+148
 3.53476755e+133
 3.00101932e+111
 1.01349297e+120
 7.52353194e+114
 2.13807387e+112
 1.30464194e+120
 1.60304890e+83
 1.80431511e+73
 4.88014019e+91
 1.31610749e+117
 1.02254197e+104
 1.46909793e+105
 1.99568760e+100
 2.13360672e+82
 2.20717856e+122
 2.28810827e+162
 4.60754051e+157
 1.65962877e+175
 1.42515615e+222
 Inf
 2.16980393e+300
 1.59874149e+292
 7.05791105e+243
 2.55283343e+213
 2.71697252e+191
 4.14027843e+164
 5.15190062e+191
 2.45315659e+184
 2.57879503e+131
 3.77903232e+127
 2.02214308e+171
 1.00894067e+168
 1.95889180e+166
 Inf
 Inf
 1.69243760e+168
 1.10312848e+136
 1.57319563e+159
 6.33626270e+228
 3.06145706e+189
 1.81157760e+270
 1.72889295e+240
 9.47334123e+169
 1.41212804e+191
 1.94112206e+194
 2.12034341e+233
 2.95143170e+249
 1.08299509e+238
 2.53283554e+251
 1.11294927e+196
 1.84100365e+200
 1.04697805e+226
 2.29762724e+167
 9.33394557e+123
 5.71200573e+135
 1.67719547e+197
 1.05337921e+221
 3.91547171e+173
 1.92760769e+157
 7.63877914e+176
 1.33349887e+177
 1.44661030e+195
 1.58383186e+147
 1.72804267e+112
 1.19159123e+115
 8.43523365e+150
 3.16716617e+201
 1.17862025e+224
 6.14841013e+155
 4.02092612e+132
 9.05745873e+216
 3.91343325e+234
 1.75417069e+165
 9.91603744e+193
 1.89671428e+208
 4.99550558e+147
 4.26317923e+138
 2.96344618e+141
 2.57672827e+140
 3.81212452e+122
 3.71953332e+111
 2.89087304e+129
 2.42778783e+123
 1.39223664e+131
 5.00678230e+146
 1.17713527e+139
 6.32428205e+143
 2.58732688e+155
 9.35238712e+169
 2.31708005e+162
 7.28198888e+142
 8.42910374e+96
 2.25025260e+87
 8.96255125e+84
 4.44833257e+89
 8.31342131e+96
 1.00386512e+91
 1.40050647e+96
 8.98558863e+102
 3.18287720e+94
 4.37189838e+78
 1.87010156e+81
 1.00309826e+108
 5.53241946e+125
 2.10841175e+90
 8.37535373e+81
 6.43683860e+88
 1.66518474e+100
 1.24058132e+108
 5.53261670e+125
 4.67927585e+131
 5.27155561e+92
 4.66147769e+86
 1.83631287e+106
 6.11700570e+119
 6.44641505e+139
 1.58774817e+128
 1.90795173e+97
 4.79262892e+103
 5.71665626e+111
 7.41579888e+106
 5.73669379e+100
 6.05568962e+106
 1.01952939e+104
 2.25231206e+106
 2.14327509e+132
 1.06951220e+147
 7.81679688e+149
 5.59406741e+125
 2.27582995e+110
 1.08608657e+103
 1.64473104e+107
 2.15189539e+129
 1.60907068e+127
 3.20466766e+105
 1.40700476e+100
 2.22777196e+122
 3.76120743e+128
 4.65914989e+120
 4.07041992e+164
 5.23255663e+156
 1.38840819e+133
 4.02167294e+183
 6.52157603e+158
 1.01158330e+105
 1.93085713e+111
 9.72637412e+115
 6.09078862e+115
 4.61509563e+111
 2.40258713e+111
 4.73521835e+114
 4.61362827e+111
 8.28931042e+107
 6.58560918e+110
 1.57635748e+113
 1.18193852e+128
 2.35057522e+146
 1.14910961e+135
 3.13243432e+118
 1.01572257e+120
 2.54577536e+131
 2.16833278e+129
 3.10940621e+130
 2.73131612e+124
 3.04923851e+143
 4.15063470e+158
 6.02226728e+114
 8.22585924e+116
 3.59051472e+192
 1.71231397e+126
 2.39117231e+101
 4.16012251e+141
 3.58400740e+180
 9.19125266e+216
 2.06006197e+171
 3.28736516e+139
 2.08607910e+141
 9.81113251e+191
 2.42616734e+257
 5.84192247e+161
 1.92395906e+174
 2.94472252e+137
 3.24801251e+98
 7.00851652e+123
 9.06157026e+161
 1.14309444e+180
 2.06889483e+154
 3.65297798e+121
 3.12204611e+118
 1.88020145e+131
 9.13974930e+126
 1.85890765e+123
 1.64384601e+139
 3.62825396e+181
 8.83347884e+249
 2.51359303e+03
 2.51443353e+03
 2.51329350e+03
 1.89695791e+298
 2.60388334e+153
 3.94597974e+144
 3.44278769e+146
 1.59528935e+132
 1.23769892e+134
 1.61868385e+129
 2.26431355e+119
 8.28662694e+134
 5.99126322e+141
 5.06723537e+142
 1.56834179e+148
 1.20168805e+115
 5.39244912e+123
 2.90401528e+136
 9.13517068e+139
 2.71925389e+235
 3.87709830e+150
 7.16837179e+96
 3.85695578e+105
 1.81089181e+109
 4.84909604e+113
 8.35361477e+122
 7.76634117e+136
 1.88772027e+133
 1.25781968e+106
 3.46495046e+110
 1.18290931e+166
 7.14756244e+157
 1.51738984e+115
 3.09487222e+113
 3.41034160e+146
 2.55827855e+153
 1.33949963e+117
 3.87890577e+113
 2.16459252e+120
 5.66328184e+150
 8.51525460e+188
 6.66074049e+133
 9.78476114e+115
 6.41128077e+158
 2.59627878e+155
 2.80672529e+165
 5.77047750e+171
 2.19101427e+120
 7.89916695e+119
 4.71903985e+105
 4.33261738e+97
 7.13824416e+142
 8.93959748e+127
 1.00274152e+121
 2.37986551e+149
 1.24134216e+157
 7.83404009e+149
 1.58443331e+135
 6.16766115e+119
 5.02328911e+128
 5.50773608e+195
 3.15513562e+154
 1.65483143e+168
 2.44217081e+184
 2.41418758e+149
 1.57876602e+159
 1.07870577e+187
 3.35270986e+215
 2.54317507e+213
 3.91597045e+153
 3.86816053e+159
 1.23597721e+183
 4.95127164e+152
 1.57276536e+147
 1.72988109e+165
 1.73196774e+145
 1.02215461e+120
 1.06474283e+187
 6.64278121e+270
 1.93914937e+209
 2.49393616e+159
 1.19448924e+145
 6.63277515e+178
 2.32908753e+130
 3.18589288e+116
 7.89163130e+119
 2.91617715e+122
 1.10044082e+155
 2.65836128e+230
 1.73186225e+225
 1.71769446e+126
 1.88459081e+131
 4.97433653e+185
 1.07523482e+204
 7.41958732e+183
 2.40549193e+163
 2.31913679e+148
 5.21422547e+156
 6.48924500e+158
 4.02312269e+132
 4.79644482e+119
 3.77290759e+114
 9.46257963e+114
 1.20698996e+127
 3.83984418e+159
 4.16881520e+135
 1.19902386e+92
 4.69991016e+114
 1.88369489e+151
 2.56106785e+153
 3.59589089e+180
 2.94741259e+137
 1.42716638e+156
 1.29584345e+188
 1.47594867e+176
 2.05455871e+190
 8.58430961e+150
 4.54557507e+165
 5.13084021e+203
 1.25057709e+116
 4.58032097e+75
 1.31661979e+87
 2.44347559e+145
 5.02497106e+146
 2.42216600e+111
 2.89068260e+129
 1.71848701e+150
 2.83436322e+128
 2.47198778e+142
 1.22700260e+169
 4.55642195e+188
 4.36816956e+170
 2.46589108e+118
 2.32012138e+134
 1.39799164e+191
 2.52067625e+145
 2.32169699e+98
 4.65318798e+124
 9.56490900e+174
 2.44563014e+184
 2.84379365e+195
 4.95527512e+175
 8.61367410e+288
 3.71057066e+192
 5.25669059e+156
 3.37882102e+147
 1.08642248e+137
 6.47875982e+139
 8.33337571e+134
 4.00311695e+132
 6.86193491e+104
 7.01330787e+99
 8.83683277e+111
 4.97403678e+146
 5.18190332e+166
 1.73242156e+145
 6.00638461e+141
 8.89408690e+153
 3.07215557e+143
 5.58701801e+125
 4.75429144e+114
 1.70971655e+150
 3.75230454e+194
 9.36618630e+123
 2.90241240e+129
 7.51133858e+215
 3.11054528e+232
 1.12278720e+155
 2.06349388e+179
 2.47269511e+203
 1.04454557e+131
 4.47166105e+168
 2.67775704e+302
 5.81816510e+189
 1.10650824e+136
 4.31711021e+170
 2.11270807e+137
 1.69725332e+126
 5.75901519e+186
 1.66524276e+139
 4.00898367e+118
 9.75679587e+163
 2.29250614e+253
 5.40732979e+236
 3.69215109e+179
 6.74716644e+197
 4.44060734e+220
 1.60563634e+128
 6.03840088e+134
 1.94828283e+206
 2.88208720e+307
 1.90202573e+220
 4.15574282e+164
 1.16884899e+224
 2.29713804e+167
 4.93040787e+175
 2.24384868e+204
 6.39455846e+143
 7.80901948e+136
 6.90361651e+224
 3.80654941e+194
 9.39865018e+155
 7.44121990e+168
 9.09760834e+133
 1.80928583e+104
 1.46971865e+143
 1.16084088e+224
 1.13294264e+153
 8.66206463e+131
 5.55310105e+107
 1.76717277e+99
 1.36970501e+112
 4.81603529e+103
 1.55492136e+111
 1.42534734e+66
 8.04155647e+64
 2.63996286e+124
 1.42139311e+156
 2.20127742e+239
 5.48334775e+198
 1.67241034e+175
 Inf
 Inf
 1.98352411e+194
 6.15305729e+239
 Inf
 6.41521678e+280
 3.70822464e+192
 7.77863354e+192
 7.39194620e+235
 3.92474475e+234
 8.59324637e+175
 1.11483473e+155
 1.22180568e+142
 3.62645300e+192
 1.81295052e+270
 2.00929020e+236
 1.38055874e+269
 1.69707074e+245
 9.99094096e+204
 5.06009733e+185
 4.71321602e+204
 Inf
 Inf
 2.39043151e+160
 1.65843131e+139
 6.62113682e+178
 2.27460542e+255
 1.56683836e+280
 9.43183844e+205
 2.33299797e+177
 9.37435743e+155
 1.58116577e+159
 3.40951409e+261
 3.99104727e+262
 1.93700787e+265
 9.30884944e+216
 1.32690502e+144
 1.16709341e+179
 Inf
 6.50236932e+228
 8.13979946e+232
 1.37980155e+269
 7.50269935e+252
 1.18931397e+182
 2.57801708e+131
 5.51362418e+195
 5.67235882e+174
 1.52868584e+136
 1.43798120e+152
 3.70496675e+241
 6.75629641e+265
 1.23314209e+124
 4.70172641e+121
 1.00248883e+159
 4.34358314e+170
 2.05214600e+190
 2.57900088e+153
 1.07504221e+147
 2.03350449e+181
 8.83289222e+249
 Inf
 9.38098835e+216
 5.48471549e+123
 2.27604854e+161
 1.69475473e+240
 5.31969749e+129
 2.99971138e+135
 1.48767192e+163
 1.31728188e+144
 6.06977278e+155
 2.97136596e+157
 2.85371588e+151
 2.43223272e+184
 Inf
 Inf
 1.06624125e+282
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.00546454e+237
 1.78863129e+231
 Inf
 7.45151900e+255
 2.14361324e+217
 Inf
 8.65552740e+258
 4.14095632e+207
 1.16610384e+262
 Inf
 2.46510818e+286
 2.31537016e+255
 7.96955416e+257
 2.14122893e+233
 1.42652778e+191
 1.58299911e+147
 2.58006416e+140
 2.81222330e+195
 6.69836871e+265
 1.72804757e+240
 6.61161759e+201
 5.16876220e+203
 2.70553227e+302
 Inf
 1.59392566e+294
 2.56495281e+228
 6.96292627e+100
 7.43272753e+88
 6.79779655e+192
 2.50434617e+221
 1.22900331e+171
 1.42369125e+222
 Inf
 Inf
 Inf
 Inf
 Inf
 1.68633200e+172
 7.45106265e+148
 1.08535220e+199
 2.18811391e+152
 1.26792245e+111
 2.74994820e+106
 2.80920811e+151
 1.57154619e+148
 4.08590028e+137
 2.01447731e+180
 7.25614929e+255
 Inf
 8.22252455e+156
 3.71454503e+157
 2.51327420e+03
 2.51336912e+03
 2.51388636e+03
 2.51447674e+03
 2.51406061e+03
 2.51384058e+03
 2.51381545e+03
 2.51359191e+03
 2.51342524e+03
 2.51373930e+03
 2.51351829e+03
 8.82097774e+250
 1.79172427e+119
 8.28636678e+134
 7.35865972e+125
 4.07827531e+164
 2.51327843e+03
 3.28655583e+116
 7.32815088e+55
 9.81958923e+203
 2.51380813e+03
 2.51382894e+03
 2.51383759e+03
 2.51383162e+03
 2.51403266e+03
 2.51362172e+03
 2.51328045e+03
 2.51329268e+03
 Inf
 Inf
 2.51327869e+03
 2.51335107e+03
 2.51331982e+03
 2.51330795e+03
 2.51380522e+03
 2.51328587e+03
 9.88097344e+159
 2.57671540e+150
 2.59526035e+170
 2.63419489e+193
 5.75438572e+150
 1.72794060e+150
 3.40814640e+148
 1.08665372e+137
 3.81809059e+150
 1.04040533e+143
 4.17593071e+112
 3.78426977e+122
 1.32629055e+198
 1.08863693e+248
 Inf
 2.51327733e+03
 Inf
 Inf
 4.27192148e+206
 9.65939662e+278
 Inf
 Inf
 4.05726282e+60
 4.07098794e+57
 Inf
 7.84733412e+296
 Inf
 Inf
 1.08308594e+287
 2.20523374e+196
 Inf
 Inf
 3.13713693e+260
 1.42315594e+52
 3.92196519e+53
 8.00550989e+208
 3.67131831e+56
 1.02817835e+53
 2.13559448e+177
 8.67425108e+298
 1.59879048e+60
 4.26328516e+58
 Inf
 Inf
 5.89139811e+150
 7.77737338e+151
 3.53645417e+133
 4.88051446e+113
 3.18099268e+134
 3.20739691e+125
 2.90365976e+129
 2.29184846e+103
 4.87248622e+101
 5.89070800e+138
 3.74748703e+94
 1.49157279e+93
 1.90276286e+206
 1.59293546e+264
 6.96586319e+230
 1.58994195e+147
 2.44114019e+125
 3.03928115e+74
 1.41240090e+79
 2.22471202e+177
 1.80496631e+177
 3.42506615e+148
 2.57051966e+150
 3.53584867e+133
 1.41661715e+100
 1.10022912e+112
 8.45654816e+105
 2.46033175e+85
 4.76776389e+103
 1.30186376e+177
 6.11097735e+155
 3.22113957e+105
 2.78177210e+120
 4.30790554e+110
 3.18011328e+104
 3.08223819e+154
 4.50135597e+168
 2.09835594e+141
 2.61354247e+193
 Inf
 Inf
 Inf
 2.46315570e+286
 1.92793398e+192
 1.12871411e+153
 2.13977767e+143
 2.26507907e+167
 5.73105068e+202
 Inf
 Inf
 9.50936968e+259
 1.14334376e+213
 3.41770215e+169
 3.70912701e+160
 2.57705423e+150
 4.49687815e+168
 1.46868103e+215
 3.26049561e+248
 3.65019871e+180
 3.89899155e+153
 1.67353968e+76
 3.71217269e+81
 1.63810070e+186
 7.08409611e+177
 1.34716139e+173
 2.17263910e+196
 7.72221897e+145
 2.91630127e+119
 4.21098905e+125
 3.53046549e+99
 1.44065285e+102
 7.48035519e+114
 4.81738823e+115
 1.57013974e+135
 1.54925232e+170
 1.49657019e+143
 5.68836974e+144
 6.57672274e+173
 1.15473522e+135
 3.25370778e+152
 3.20913657e+248
 6.48566953e+151
 2.18537276e+135
 2.10164255e+136
 9.63207290e+113
 1.60560478e+146
 3.17593210e+166
 5.28797531e+149
 7.66272091e+145
 5.26542583e+149
 1.49080580e+143
 4.94196022e+147
 1.47200905e+141
 3.52892413e+133
 8.20496344e+144
 3.13823868e+97
 2.73637758e+103
 2.25186257e+106
 1.77907548e+95
 3.68621642e+111
 2.66299524e+112
 4.36207331e+143
 5.60956357e+213
 2.94777073e+238
 4.60697236e+165
 9.09291503e+133
 3.03462560e+115
 1.42028552e+123
 2.56382670e+140
 2.97188644e+126
 8.90454204e+127
 8.38317801e+118
 1.26898440e+130
 1.56300344e+148
 1.91072193e+115
 1.66844482e+101
 8.18708911e+116
 1.07748032e+137
 2.27134492e+106
 3.00930017e+107
 7.13810759e+170
 3.80424699e+182
 3.39392301e+147
 8.41662081e+67
 9.99134592e+64
 7.65740632e+121
 4.99230338e+146
 6.42861089e+179
 7.70472447e+145
 2.85118724e+127
 2.29917499e+148
 1.73039480e+165
 7.40211417e+165
 2.51814843e+213
 1.25449055e+157
 2.32124864e+130
 2.95164529e+157
 3.74496502e+111
 1.16731811e+101
 2.30535035e+160
 1.55007875e+201
 2.55962110e+176
 3.77659968e+194
 9.58005222e+159
 2.94152462e+122
 8.31348650e+107
 8.85154486e+127
 2.24819532e+122
 8.24340319e+116
 6.66617887e+127
 1.33261021e+117
 3.50568782e+133
 5.72935608e+161
 1.34280354e+173
 5.72179033e+144
 3.01070726e+135
 6.59856960e+133
 3.11296805e+130
 1.68405947e+153
 2.16191733e+196
 3.38377172e+219
 1.97408606e+166
 5.04251328e+148
 7.45144651e+132
 2.38883060e+149
 3.70662935e+200
 1.01999883e+159
 1.92222412e+157
 4.16423695e+158
 5.75840013e+135
 2.43523159e+125
 1.10155006e+155
 1.80212298e+274
 5.18220523e+193
 6.42329996e+131
 3.70123019e+167
 1.50218896e+51
 4.16213957e+46
 9.86406805e+147
 1.55389989e+138
 5.76947428e+111
 1.25651286e+111
 1.06177347e+147
 2.27216082e+173
 3.56597033e+142
 4.20609960e+130
 2.92451521e+122
 8.37127872e+118
 2.96721784e+99
 1.01169852e+108
 3.40264347e+146
 3.27224099e+139
 6.90569336e+126
 2.40017749e+115
 8.88289553e+111
 5.08681444e+94
 1.45750776e+86
 2.01041364e+93
 2.16156382e+104
 1.53323251e+138
 2.29576217e+103
 1.94766288e+89
 1.85768545e+108
 9.42645469e+108
 6.84952950e+100
 3.88447418e+92
 2.94296827e+99
 2.52600223e+131
 3.92624115e+126
 2.41231260e+111
 5.17309990e+112
 2.75127905e+106
 3.87001566e+105
 1.01113097e+111
 3.88156711e+80
 3.13953549e+85
 1.63250689e+107
 3.19027443e+93
 7.45332410e+114
 3.81319391e+115
 2.25591843e+119
 1.49249562e+104
 5.93207555e+94
 1.02242340e+106
 8.38030379e+101
 1.19749823e+96
 5.37459628e+95
 6.10345856e+124
 3.19179386e+104
 1.06087376e+82
 2.71582369e+93
 8.99307022e+106
 1.01432994e+108
 7.86967143e+119
 8.36961741e+122
 1.52734853e+106
 1.87021845e+108
 5.72567538e+111
 2.51377242e+03
 2.51979794e+03
 2.51887165e+03
 2.51696756e+03
 2.51448546e+03
 2.51330580e+03
 Inf
 3.67239326e+180
 1.66381661e+139
 1.09330829e+149
 1.99119017e+116
 5.32912334e+110
 7.86125653e+135
 2.84503209e+127
 2.30842138e+108
 2.90532548e+122
 1.34271541e+154
 2.31491782e+148
 5.69999292e+137
 4.71745804e+121
 3.02233348e+107
 2.49481371e+102
 3.10256499e+118
 3.09961606e+130
 3.73216927e+119
 3.16182450e+123
 3.12372005e+118
 9.74611198e+108
 6.12297298e+119
 1.01599865e+120
 5.73429344e+105
 3.31527915e+112
 9.22053490e+123
 2.07936728e+124
 1.84409757e+125
 1.09285806e+136
 2.39095143e+149
 3.53512579e+133
 1.10051753e+158
 3.76040690e+194
 2.69211022e+158
 5.79670114e+100
 4.10408547e+86
 3.33032962e+92
 7.63724420e+83
 1.96231062e+87
 1.47601281e+104
 8.26941292e+107
 3.46701320e+110
 3.84726145e+104
 8.42201802e+97
 6.82613376e+100
 3.66569705e+97
 4.63570157e+104
 1.84984692e+106
 1.00441572e+102
 1.87305701e+151
 1.58436516e+164
 6.20021777e+119
 7.75862910e+136
 1.06517225e+99
 1.69426262e+89
 2.21602431e+109
 5.36162746e+98
 7.40074372e+95
 2.27953949e+130
 3.25914200e+139
 1.08447395e+137
 5.67957899e+144
 2.58350575e+133
 5.95669955e+138
 3.21050586e+125
 1.72915733e+122
 6.00716643e+159
 3.64754016e+179
 4.97673628e+147
 3.71842674e+167
 3.35970675e+112
 5.25009497e+92
 7.81238343e+109
 1.67837102e+120
 8.56149475e+87
 1.59945090e+97
 3.66229472e+194
 3.39955546e+147
 2.82781778e+110
 2.49963397e+116
 8.97953797e+128
 4.03874878e+116
 9.99605037e+120
 3.04582832e+143
 5.01845812e+148
 2.13781533e+143
 1.03652132e+141
 7.80411309e+136
 4.59733809e+139
 5.67141814e+130
 2.73149065e+124
 9.01105849e+133
 2.33049809e+134
 1.28853273e+140
 1.50385925e+118
 5.00947967e+127
 7.37576109e+148
 1.57148515e+147
 7.95508877e+137
 4.25367040e+138
 2.43681285e+125
 1.20593079e+114
 6.86049463e+100
 3.50689930e+99
 2.79247492e+128
 1.88568550e+131
 2.84183960e+127
 2.45331148e+159
 7.44697989e+168
 5.64824599e+136
 1.42832116e+123
 5.54213246e+107
 1.51980121e+87
 2.48995667e+88
 2.39398716e+125
 4.13624983e+135
 5.66999399e+104
 9.03194980e+106
 9.63476080e+125
 5.97611061e+141
 2.17361269e+129
 3.78210532e+114
 1.10557412e+112
 1.31408065e+85
 4.14093931e+99
 2.26431518e+162
 1.12659717e+174
 6.36858299e+143
 5.68929143e+144
 2.72076820e+168
 9.19524677e+139
 5.73628486e+135
 6.40714914e+179
 6.97719829e+187
 5.73732026e+137
 1.00771276e+159
 4.16594498e+158
 7.12343689e+123
 3.10468631e+130
 3.80597205e+163
 2.06767668e+179
 5.73066855e+137
 6.12330461e+115
 5.95588411e+141
 3.91246510e+129
 1.90113343e+86
 3.01938744e+82
 3.14456296e+104
 5.39824391e+132
 2.16021069e+152
 2.34787226e+160
 8.49461410e+175
 1.71191640e+134
 1.21450420e+124
 1.69361704e+134
 2.76371725e+103
 3.55271556e+124
 7.88050792e+238
 1.09446373e+190
 5.24660815e+112
 2.99410692e+114
 2.50279287e+116
 7.91847185e+108
 6.35225604e+98
 4.58847187e+95
 1.67636986e+117
 8.18485292e+110
 1.48096162e+89
 7.45001588e+102
 4.87195703e+101
 1.80841877e+109
 3.36532998e+148
 2.51725189e+102
 8.33626804e+99
 7.10132564e+111
 5.64148460e+137
 3.62121137e+192
 4.88390370e+115
 3.70590784e+91
 3.77973792e+115
 1.72422308e+122
 2.07845459e+124
 2.91340425e+137
 9.22946060e+117
 1.04584985e+117
 4.02604823e+116
 6.43978455e+108
 2.49581826e+102
 1.11933636e+103
 2.29201997e+108
 7.85399871e+135
 4.25293647e+151
 2.17540539e+138
 3.78530376e+127
 3.42702758e+146
 1.33778709e+173
 1.49728128e+143
 2.83032990e+128
 5.75750791e+111
 2.12597276e+127
 2.73822658e+172
 5.11110405e+193
 7.31150271e+170
 3.84419448e+163
 1.66187180e+175
 1.96157049e+166
 4.02818087e+132
 4.66363864e+120
 3.00084351e+114
 6.08221454e+106
 7.86005503e+121
 7.31334696e+165
 1.08041763e+187
 1.07507821e+148
 7.62612154e+251
 7.04667837e+187
 1.97238396e+98
 6.92349113e+105
 3.08561778e+130
 9.39156666e+210
 4.62848370e+263
 1.37335150e+154
 7.42575847e+148
 1.65253795e+168
 1.70991754e+134
 5.03153862e+127
 6.46236399e+139
 5.45783833e+132
 3.63723687e+121
 7.90308320e+119
 2.56679544e+133
 1.07528022e+119
 8.08727000e+112
 7.26817487e+146
 6.49374123e+139
 2.01589064e+180
 Inf
 2.51332687e+03
 2.51328523e+03
 2.51329109e+03
 2.51328765e+03
 Inf
 2.51328143e+03
 2.51335498e+03
 2.51331288e+03
 2.51339800e+03
 2.51368281e+03
 2.51379514e+03
 2.51353022e+03
 2.51331772e+03
 2.51327817e+03
 2.51329032e+03
 2.51331171e+03
 2.51329462e+03
 Inf
 Inf
 2.51340799e+03
 2.51342142e+03
 2.51333394e+03
 2.51341091e+03
 2.51340010e+03
 2.51334512e+03
 2.51333740e+03
 2.51329032e+03
 2.51329161e+03
 2.51327954e+03
 Inf
 2.51331094e+03
 2.51332328e+03
 2.51329943e+03
 2.51339730e+03
 2.51340439e+03
 2.51328523e+03
 Inf
 2.51327897e+03
 2.51330136e+03
 Inf
 2.51336368e+03
 2.51349621e+03
 2.51334618e+03
 2.51356023e+03
 2.51334094e+03
 Inf
 Inf
 Inf
 Inf
 2.51327501e+03
 Inf
 Inf
 2.51327563e+03
 2.51330943e+03
 Inf
 Inf
 Inf
 Inf
 2.51328789e+03
 2.51337598e+03
 2.51342525e+03
 2.51343150e+03
 2.51349998e+03
 2.51345689e+03
 2.51338242e+03
 2.51338181e+03
 2.51359079e+03
 2.51374202e+03
 2.51353833e+03
 2.51332506e+03
 2.51330943e+03
 2.51336190e+03
 2.51337662e+03
 2.51363116e+03
 2.51378514e+03
 2.51353022e+03
 2.51363235e+03
 2.51369951e+03
 2.51362172e+03
 2.51346987e+03
 Inf
 6.82816226e+178
 2.77446124e+172
 4.55972143e+188
 5.35018477e+236
 8.26766898e+250
 2.70913861e+230
 4.55562415e+168
 3.29570124e+174
 1.90871384e+207
 1.48037098e+215
 3.05614963e+189
 1.63404263e+129
 5.71397995e+171
 2.73785509e+185
 4.43694625e+143
 1.72518414e+150
 9.30760470e+123
 1.21031457e+127
 8.51399082e+141
 2.48073292e+142
 2.82986919e+128
 3.94335696e+155
 5.75776422e+171
 3.22436477e+134
 5.24489483e+129
 5.15810914e+96
 1.88383903e+115
 3.90759426e+216
 1.37193027e+193
 4.31702866e+196
 4.08234183e+183
 2.32256601e+162
 2.04192716e+171
 5.05123666e+146
 1.57074882e+147
 7.36659077e+190
 6.99140158e+187
 5.86332377e+160
 1.87175691e+123
 9.60313127e+113
 1.20773036e+124
 1.53223081e+108
 2.14274080e+117
 2.16603671e+135
 1.72143126e+150
 9.13247506e+161
 3.02079308e+135
 3.58750562e+124
 2.32457198e+134
 9.29838150e+169
 1.17453698e+179
 1.70401596e+155
 1.32736526e+177
 2.77853616e+202
 3.66220291e+145
 2.29966306e+147
 4.38925801e+176
 2.70326551e+198
 1.77729408e+231
 2.10062728e+205
 4.72966429e+204
 2.78575278e+172
 1.10231503e+123
 4.88374989e+152
 1.32903817e+263
 7.31930852e+253
 2.96498340e+238
 1.60208446e+264
 Inf
 2.51333740e+03
 2.51329241e+03
 Inf
 Inf
 2.51332197e+03
 2.51332506e+03
 2.51328421e+03
 2.51328908e+03
 Inf
 Inf
 2.51328178e+03
 Inf
 2.51328565e+03
 2.51332284e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327501e+03
 2.51327422e+03
 Inf
 Inf
 Inf
 2.51331288e+03
 2.51327527e+03
 Inf
 2.51331133e+03
 2.51339452e+03
 2.51341239e+03
 2.51334043e+03
 2.51331813e+03
 2.51361241e+03
 2.51351437e+03
 2.51330303e+03
 2.51333590e+03
 2.51330337e+03
 2.51329975e+03
 2.51332551e+03
 2.51334406e+03
 2.51329787e+03
 2.51418890e+03
 2.51449431e+03
 2.51329057e+03
 2.51329240e+03
 2.51329607e+03
 2.51327604e+03
 2.51333154e+03
 2.51347608e+03
 2.51348880e+03
 2.51331249e+03
 2.51327465e+03
 Inf
 2.51330236e+03
 2.51346117e+03
 2.51327490e+03
 Inf
 Inf
 2.51329943e+03
 2.51327805e+03
 2.51327435e+03
 Inf
 2.51328267e+03
 2.51327427e+03
 2.51331210e+03
 2.51337789e+03
 2.51333443e+03
 2.51332918e+03
 2.51327465e+03
 2.51328362e+03
 2.51329548e+03
 Inf
 2.51327533e+03
 2.51333106e+03
 2.51330136e+03
 2.51327650e+03
 2.51327416e+03
 Inf
 2.51327733e+03
 2.51336729e+03
 2.51337284e+03
 2.51329378e+03
 2.51328249e+03
 2.51328286e+03
 2.51328630e+03
 2.51332825e+03
 2.51330039e+03
 2.51337408e+03
 2.51346637e+03
 2.51339590e+03
 2.51333941e+03
 2.51330981e+03
 2.51333249e+03
 2.51330071e+03
 2.51336668e+03
 2.51332918e+03
 Inf
 Inf
 5.25793198e+140
 4.90973833e+152
 9.84474569e+191
 1.41826331e+191
 5.66065350e+169
 1.83321477e+140
 1.70079361e+134
 2.51558815e+116
 4.87192306e+152
 7.54935036e+290
 5.66602869e+195
 6.45460176e+180
 3.40665615e+156
 3.83292447e+163
 1.97393675e+210
 6.78339684e+197
 1.13365790e+213
 1.34115232e+177
 8.16077779e+184
 2.52633891e+228
 7.72840538e+176
 8.56710479e+150
 6.48079634e+158
 7.91303740e+172
 2.30475070e+161
 1.73185597e+150
 9.85386358e+163
 9.98564820e+227
 1.14470791e+218
 3.48222552e+146
 2.18217934e+120
 1.23348091e+134
 1.64870477e+175
 1.18487301e+118
 1.18592192e+100
 1.60058891e+129
 1.03488294e+143
 1.29129403e+140
 1.02265247e+108
 3.40114580e+108
 8.33701991e+122
 1.04731249e+117
 1.61095027e+129
 5.19779345e+126
 8.34164304e+138
 6.46090496e+158
 4.03378359e+177
 9.13685405e+102
 2.12977849e+112
 1.32313747e+269
 2.46505218e+188
 1.63333151e+146
 2.54665307e+164
 2.23877942e+183
 7.29940443e+170
 9.72831785e+171
 1.42038854e+246
 4.27069773e+225
 1.91650910e+192
 7.39194837e+235
 6.55713255e+214
 7.42362040e+235
 9.81824299e+171
 1.83387106e+140
 7.64580723e+145
 2.50087093e+145
 2.56859489e+150
 4.02530422e+177
 1.54213663e+308
 2.25724324e+239
 9.98813082e+163
 6.93726637e+126
 9.20694647e+117
 5.65839591e+150
 2.04202582e+190
 1.41775329e+191
 2.61632310e+170
 2.77011095e+172
 9.26100663e+185
 4.63978471e+211
 3.16134016e+154
 1.45210406e+161
 1.69465109e+240
 1.25191634e+183
 2.74310407e+168
 1.20384959e+166
 1.07422929e+165
 3.88090289e+173
 1.14611511e+181
 1.34794244e+173
 7.15674705e+157
 4.54794019e+231
 2.10073990e+205
 7.50612521e+168
 5.15697935e+191
 2.74689054e+168
 2.31025571e+147
 1.71605370e+158
 7.28087201e+154
 3.78941167e+128
 3.67155340e+160
 5.31098064e+236
 Inf
 Inf
 9.37998692e+216
 2.68331713e+275
 2.12760486e+211
 5.76697798e+150
 1.65332967e+168
 1.17410583e+179
 4.57454780e+231
 1.80189643e+283
 1.15175395e+218
 5.82016266e+161
 1.62490654e+149
 2.10453791e+137
 1.06478986e+148
 9.80966750e+204
 5.69395248e+213
 3.80088602e+194
 Inf
 1.86528680e+200
 7.32248992e+142
 6.99340133e+192
 1.46239155e+162
 1.92412990e+174
 1.34799613e+198
 2.08091262e+179
 1.83516089e+200
 8.67192991e+288
 1.03989688e+261
 2.89006086e+151
 6.43698741e+179
 2.63848524e+218
 8.57754033e+175
 5.95478894e+221
 1.72132854e+186
 2.74860455e+144
 4.94351154e+147
 5.80123965e+186
 1.46913329e+234
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.99702482e+305
 2.15329495e+217
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.70899143e+245
 1.93244483e+265
 Inf
 1.40771046e+303
 Inf
 5.59983591e+264
 Inf
 Inf
 Inf
 Inf
 Inf
 1.41460644e+303
 Inf
 6.41521517e+280
 2.91999962e+307
 Inf
 Inf
 Inf
 Inf
 Inf
 1.06224918e+287
 Inf
 2.51495752e+03
 2.52045893e+03
 2.52025292e+03
 2.52079282e+03
 2.51943713e+03
 2.51754247e+03
 2.51511589e+03
 2.51384058e+03
 2.51351146e+03
 2.51346637e+03
 2.51346118e+03
 2.51328630e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 1.09522838e+204
 2.28802204e+255
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328652e+03
 Inf
 Inf
 2.51327435e+03
 2.51342140e+03
 2.51327587e+03
 Inf
 7.64378443e+283
 Inf
 Inf
 1.04752713e+261
 3.42911112e+295
 7.39024923e+255
 1.15868942e+180
 1.30281414e+188
 2.51361125e+03
 2.51371923e+03
 3.18102003e+307
 2.24030739e+199
 2.53388327e+228
 3.11663289e+232
 3.34192949e+293
 Inf
 Inf
 Inf
 2.02481159e+236
 2.13538337e+233
 7.71734722e+290
 Inf
 Inf
 Inf
 2.34446726e+254
 1.05531946e+226
 4.54326059e+287
 2.02967119e+244
 9.19480191e+271
 7.05218041e+274
 2.72415303e+250
 Inf
 5.73959588e+285
 8.44458531e+266
 2.45667345e+243
 Inf
 Inf
 Inf
 2.95823600e+214
 Inf
 2.51341387e+03
 2.51334302e+03
 2.51333740e+03
 Inf
 Inf
 2.51338907e+03
 2.51331772e+03
 5.26097743e+185
 4.74840466e+124
 1.45241038e+176
 1.07310344e+204
 1.03282742e+276
 Inf
 Inf
 2.02075005e+288
 1.84110418e+270
 Inf
 1.66154903e+229
 6.52400452e+179
 1.04957478e+221
 9.96082025e+204
 2.36026532e+266
 2.53073953e+221
 1.71774889e+240
 7.25310983e+254
 2.02239889e+244
 2.30182454e+167
 3.56670180e+149
 1.08557510e+199
 6.90027784e+230
 1.80163548e+283
 Inf
 Inf
 Inf
 Inf
 3.82177008e+241
 7.26162454e+292
 2.59386573e+281
 1.36437918e+263
 5.39943590e+301
 3.71440090e+247
 1.08506095e+204
 6.16512460e+239
 2.14370781e+300
 1.64157165e+229
 1.92677932e+207
 Inf
 Inf
 4.93766232e+223
 1.92580690e+265
 Inf
 Inf
 Inf
 Inf
 4.84635830e+240
 2.35226698e+256
 Inf
 3.04528140e+242
 1.31447684e+188
 Inf
 Inf
 8.90231295e+288
 1.01868208e+228
 2.32784514e+147
 1.13886526e+180
 1.18672749e+232
 1.90782675e+208
 1.71385584e+240
 5.83046962e+244
 1.48657149e+176
 2.04756897e+171
 1.15574001e+262
 1.06015288e+230
 1.75335697e+165
 2.51066380e+145
 3.71617510e+167
 3.65636646e+297
 6.59793786e+214
 1.17375487e+150
 8.35188934e+134
 1.29809928e+121
 3.59967720e+161
 5.12546743e+203
 7.96812539e+219
 1.63814429e+149
 2.31810052e+108
 8.33515253e+118
 3.88391828e+105
 5.83878521e+101
 1.16082276e+91
 2.28980929e+98
 1.36469133e+133
 7.09102362e+157
 1.11641319e+146
 3.79508210e+114
 3.78336773e+163
 5.56852082e+195
 5.63087626e+125
 2.24686210e+122
 9.10853978e+160
 3.38848135e+169
 6.46441122e+179
 5.78650463e+171
 8.51181616e+166
 8.55255998e+150
 9.05713273e+128
 3.80916971e+150
 2.14730833e+127
 1.53338540e+108
 3.03116290e+143
 5.68850118e+144
 9.73637126e+125
 4.38852528e+134
 2.25181348e+122
 1.11154366e+153
 2.27571761e+173
 1.28379187e+130
 3.33792317e+112
 7.13183599e+111
 7.62975761e+113
 8.39939717e+101
 2.48633343e+99
 7.05210601e+92
 2.66997625e+96
 5.92705629e+114
 1.21563172e+105
 2.65740581e+112
 5.63491543e+144
 4.15199214e+158
 9.17942327e+139
 3.73999523e+119
 4.86401108e+113
 1.93621668e+111
 8.45648575e+103
 2.07638573e+102
 8.43268824e+103
 8.32163928e+118
 3.32871956e+112
 2.24188271e+89
 2.27792165e+83
 8.35221206e+97
 1.38819326e+125
 3.88976909e+105
 1.12309683e+89
 5.99769288e+89
 8.37475261e+97
 1.67128861e+100
 1.52134380e+108
 6.30751070e+131
 2.39361685e+114
 1.25735521e+99
 5.78458591e+103
 8.35606400e+96
 4.01752650e+100
 3.74942220e+114
 5.03607462e+203
 Inf
 Inf
 Inf
 8.69852887e+188
 9.20759630e+216
 Inf
 Inf
 Inf
 Inf
 7.40412802e+255
 Inf
 Inf
 6.55327936e+226
 2.86255810e+195
 3.35825914e+215
 2.46641606e+271
 1.89610174e+220
 Inf
 1.35804147e+285
 1.70946027e+100
 5.10521072e+97
 7.82888814e+109
 2.33969152e+94
 4.30573300e+93
 4.34166266e+96
 6.73135458e+107
 2.46608493e+113
 4.78925060e+133
 7.23577846e+142
 4.28800569e+108
 7.36824236e+132
 5.79391978e+160
 1.89692336e+133
 5.79466209e+160
 3.39441784e+156
 1.59298527e+128
 6.36253403e+151
 1.16248177e+150
 1.31791128e+103
 2.43707297e+95
 1.01542471e+104
 1.79534842e+104
 9.75168349e+100
 2.29085181e+108
 1.02002577e+104
 7.12809127e+97
 2.16548686e+104
 3.59311448e+102
 7.48148660e+114
 1.85243274e+123
 3.72019493e+111
 1.99252011e+101
 1.00957727e+111
 6.40747437e+122
 1.26474303e+113
 2.63125399e+104
 5.07615937e+94
 2.24861668e+87
 2.08558502e+90
 7.06322464e+170
 3.73781625e+167
 3.02785421e+114
 1.58002976e+189
 Inf
 Inf
 Inf
 Inf
 1.01026840e+205
 1.36985461e+107
 3.18677135e+94
 5.71225315e+100
 1.00258433e+102
 3.39960071e+101
 5.85498784e+93
 2.16198692e+104
 1.19416115e+109
 1.57247381e+103
 3.71758348e+94
 1.46551877e+94
 3.56950218e+120
 6.08816855e+121
 4.43917779e+117
 2.81167345e+128
 6.88746217e+126
 9.12937598e+126
 1.06313429e+99
 8.09462719e+94
 5.58601751e+130
 6.11449295e+113
 8.39915005e+101
 4.71964359e+114
 2.31719066e+134
 3.46124291e+131
 2.43279213e+125
 2.71399335e+144
 2.97439933e+126
 2.76093089e+106
 2.72446621e+98
 8.15039942e+100
 1.39002330e+125
 2.93377096e+132
 1.56703657e+116
 1.49249055e+99
 5.65225594e+88
 9.47921832e+92
 1.24872057e+99
 9.52896164e+113
 1.41959243e+123
 1.68516945e+120
 1.32998141e+117
 1.67069638e+121
 2.42608660e+125
 4.78800413e+119
 5.22365128e+129
 6.04511904e+155
 7.38437372e+190
 7.63423266e+200
 4.76142480e+121
 1.60567207e+127
 2.08717427e+182
 2.10205745e+124
 9.53033974e+94
 1.65681303e+121
 7.21028580e+147
 3.00921370e+111
 2.23735645e+122
 2.01818668e+171
 7.09644893e+129
 2.92395054e+122
 5.93786779e+138
 2.41863231e+111
 4.33967573e+97
 3.47822043e+133
 1.81162261e+200
 7.44575161e+165
 1.24630031e+134
 1.09553330e+136
 4.53852091e+136
 2.71390743e+168
 6.08050688e+159
 2.36631625e+252
 Inf
 Inf
 7.89191839e+296
 1.49189249e+234
 4.12940899e+207
 7.50837638e+168
 3.15184845e+186
 1.97633257e+206
 8.98798708e+206
 7.41336137e+235
 8.33017675e+222
 1.35915949e+198
 3.67338440e+192
 2.55628254e+176
 5.55334880e+233
 1.61875036e+296
 2.74726381e+302
 4.06549485e+227
 7.67736487e+200
 6.17739658e+218
 3.21129876e+201
 1.59337880e+159
 3.21770695e+134
 9.27732227e+123
 2.81703287e+128
 7.84439940e+172
 5.84891277e+160
 3.75391996e+119
 6.09671645e+115
 4.92933405e+122
 3.10135401e+113
 5.64257813e+117
 2.89692064e+129
 1.44221618e+161
 1.38916622e+167
 7.68891713e+145
 5.25826606e+129
 6.49123008e+112
 2.06905440e+141
 1.82307183e+140
 1.16855858e+97
 7.26724340e+125
 1.43350412e+152
 2.82999161e+110
 1.99188113e+101
 5.14422569e+89
 4.04921666e+101
 1.38941474e+102
 7.85043966e+119
 5.22576541e+149
 3.01387339e+135
 2.76617081e+106
 5.93603680e+94
 3.87617010e+126
 4.34345052e+93
 8.84495885e+91
 5.58945258e+137
 1.91947858e+118
 8.13824063e+94
 3.85394694e+105
 6.39495422e+122
 4.67528911e+131
 9.70796405e+125
 2.80423157e+121
 2.73769586e+117
 7.01352493e+129
 2.40190445e+115
 1.85586231e+106
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 1.61467203e+129
 4.13347917e+158
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 3.54059699e+142
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 7.47540213e+106
 8.25782951e+104
 7.16341176e+147
 8.47294773e+196
 2.48999468e+159
 3.76171942e+194
 Inf
 Inf
 8.53006157e+138
 6.51733601e+116
 4.22658951e+151
 5.91449063e+221
 3.73675002e+160
 3.18686270e+166
 8.50612382e+175
 1.40721568e+131
 1.33335881e+122
 3.48583722e+117
 3.98032281e+177
 Inf
 Inf
 2.51328860e+03
 2.51340223e+03
 2.51349903e+03
 2.51334198e+03
 2.51330371e+03
 2.51341611e+03
 2.51341016e+03
 2.51340726e+03
 2.51338638e+03
 2.51334672e+03
 2.51330303e+03
 2.51329057e+03
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 2.51342602e+03
 2.51340152e+03
 2.51340509e+03
 2.51360094e+03
 2.51356664e+03
 2.51396002e+03
 2.51406419e+03
 2.51352922e+03
 2.51340152e+03
 2.51347786e+03
 2.51345015e+03
 2.51353731e+03
 2.51338242e+03
 2.51327495e+03
 2.51337661e+03
 2.51348057e+03
 2.51332596e+03
 2.51334833e+03
 2.51351146e+03
 2.51334833e+03
 2.51328161e+03
 2.51330615e+03
 2.51331813e+03
 2.51338907e+03
 2.51360094e+03
 2.51366896e+03
 2.51365654e+03
 2.51379656e+03
 2.51407658e+03
 2.51382866e+03
 2.51345520e+03
 2.51348146e+03
 2.51368536e+03
 2.51376823e+03
 2.51336309e+03
 2.51328860e+03
 2.51334302e+03
 2.51336428e+03
 2.51327417e+03
 Inf
 2.51330474e+03
 2.51328231e+03
 2.51328630e+03
 2.51327429e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51366149e+03
 2.51374614e+03
 2.51329109e+03
 2.51331248e+03
 2.51331772e+03
 2.51333492e+03
 2.51338439e+03
 2.51327631e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328587e+03
 Inf
 Inf
 2.51336073e+03
 2.51328587e+03
 Inf
 Inf
 2.51327983e+03
 2.51327792e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.06252412e+276
 2.44875244e+286
 Inf
 1.96273169e+305
 Inf
 6.26330802e+277
 2.58943686e+281
 Inf
 Inf
 Inf
 Inf
 Inf
 7.63508461e+283
 1.20539152e+232
 2.69065876e+275
 Inf
 Inf
 1.64605263e+296
 1.81776872e+283
 1.61134777e+264
 3.94750823e+190
 2.69058299e+158
 1.45349864e+162
 1.69887513e+155
 1.65683786e+139
 1.62062713e+129
 1.90748460e+157
 9.87005226e+163
 7.83990855e+136
 1.61200698e+127
 1.10577203e+138
 1.06695018e+165
 3.29316956e+174
 7.85308972e+136
 2.41772612e+111
 2.38222215e+100
 8.99931549e+89
 2.24855324e+110
 2.55832957e+133
 9.50819180e+114
 5.16938459e+109
 1.26254526e+94
 6.01090387e+96
 1.17309959e+98
 1.36504361e+78
 3.55884808e+85
 3.81043678e+104
 4.80520527e+103
 4.17131662e+99
 1.59523808e+83
 1.97822110e+100
 2.07380433e+102
 6.66892607e+81
 1.37786024e+98
 3.85393790e+113
 1.83809933e+125
 1.88017035e+108
 6.30773987e+131
 1.40396524e+125
 1.00041154e+98
 5.35762572e+123
 1.32697504e+198
 2.27831618e+254
 1.42971600e+191
 3.40737942e+169
 6.10291079e+155
 4.03084256e+177
 9.52858095e+210
 8.35283886e+266
 2.81575627e+259
 5.12489063e+212
 3.39986178e+197
 2.33130445e+148
 8.56026131e+141
 3.54756669e+149
 2.10468560e+137
 2.05043299e+154
 7.90457693e+172
 1.29864720e+140
 8.13428472e+124
 1.90105869e+103
 1.17569100e+98
 6.28009617e+131
 2.28225020e+161
 1.72145386e+158
 1.69581455e+153
 1.21834474e+127
 4.38414857e+143
 2.03248787e+171
 2.94651255e+122
 1.33078022e+117
 1.18347643e+128
 2.38541040e+149
 2.13814026e+143
 4.80741676e+119
 3.24856711e+139
 7.65651000e+130
 8.26089566e+116
 9.75012063e+163
 4.34833288e+170
 1.12492488e+153
 6.59118800e+173
 9.64999993e+151
 3.44847884e+146
 3.82730477e+150
 1.10551207e+158
 2.31675735e+148
 3.06852397e+143
 1.89083938e+144
 9.44099707e+210
 Inf
 Inf
 Inf
 8.54058569e+266
 1.08719629e+204
 Inf
 3.76375250e+304
 2.08570362e+190
 2.64439455e+218
 3.83382542e+182
 1.99710531e+244
 1.33829989e+285
 9.43575132e+205
 1.60715288e+227
 2.51343387e+03
 2.51552201e+03
 2.51649127e+03
 2.51657444e+03
 2.51550115e+03
 2.51534973e+03
 2.51562141e+03
 2.51484591e+03
 2.51398663e+03
 2.51402735e+03
 2.51353833e+03
 Inf
 2.51327438e+03
 2.51328249e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.62685124e+258
 9.21385622e+271
 Inf
 1.81083804e+231
 2.60168455e+150
 2.96779857e+157
 2.40238300e+257
 Inf
 Inf
 Inf
 Inf
 2.51328630e+03
 2.51330615e+03
 Inf
 Inf
 Inf
 Inf
 2.51327659e+03
 2.51332372e+03
 2.51329434e+03
 2.51331486e+03
 Inf