2.51499908e+03
 2.51527571e+03
 2.51529593e+03
 2.51552198e+03
 2.51582684e+03
 2.51549519e+03
 2.51520603e+03
 2.51497566e+03
 2.51468571e+03
 2.51427252e+03
 2.51443346e+03
 2.51582363e+03
 2.51603130e+03
 2.51543926e+03
 2.51510245e+03
 2.51475263e+03
 2.51535237e+03
 2.51570449e+03
 2.51557886e+03
 2.51579826e+03
 2.51610402e+03
 2.51421959e+03
 2.51331133e+03
 2.51339799e+03
 2.51336912e+03
 2.51336488e+03
 2.51359754e+03
 2.51354449e+03
 2.51347252e+03
 2.51349434e+03
 2.51339660e+03
 2.51331133e+03
 2.51337918e+03
 2.51346117e+03
 2.51342992e+03
 2.51335218e+03
 Inf
 2.51333590e+03
 2.51335273e+03
 2.51330169e+03
 2.51348786e+03
 2.51343947e+03
 2.51357314e+03
 2.51375159e+03
 2.51348147e+03
 2.51338839e+03
 2.51347786e+03
 2.51361938e+03
 2.51362415e+03
 2.51349155e+03
 2.51335218e+03
 2.51334302e+03
 2.51351437e+03
 2.51440161e+03
 2.51532957e+03
 2.51567980e+03
 2.51501737e+03
 2.51393716e+03
 2.51385720e+03
 2.51446583e+03
 2.51486848e+03
 2.51459503e+03
 2.51441008e+03
 2.51436189e+03
 2.51453184e+03
 2.51456110e+03
 2.51395345e+03
 2.51431668e+03
 2.51530113e+03
 2.51517545e+03
 2.51492927e+03
 2.51500682e+03
 2.51498593e+03
 2.51483100e+03
 2.51519495e+03
 2.51503047e+03
 2.51504342e+03
 2.51545687e+03
 2.51588115e+03
 2.51613090e+03
 2.51609028e+03
 2.51564587e+03
 2.51551316e+03
 2.51579195e+03
 2.51583664e+03
 2.51571370e+03
 2.51563064e+03
 2.51561556e+03
 2.51516750e+03
 2.51571679e+03
 2.51604419e+03
 2.51553987e+03
 2.51552606e+03
 2.51521153e+03
 2.51525305e+03
 2.51565813e+03
 2.51616794e+03
 2.51583627e+03
 2.51575443e+03
 2.51633600e+03
 2.51603737e+03
 2.51600831e+03
 2.51616788e+03
 2.51600447e+03
 2.51906773e+03
 2.51857053e+03
 2.51523374e+03
 2.51545940e+03
 2.51583319e+03
 2.51568573e+03
 2.51571662e+03
 2.51597831e+03
 2.51565810e+03
 2.51539565e+03
 2.51340081e+03
 Inf
 2.51340654e+03
 2.51343309e+03
 2.51336547e+03
 2.51347518e+03
 2.51347412e+03
 2.51348420e+03
 2.51363354e+03
 2.51370733e+03
 2.51410171e+03
 2.51385714e+03
 2.51346376e+03
 2.51331056e+03
 2.51336729e+03
 2.51378798e+03
 2.51365900e+03
 2.51347518e+03
 2.51328608e+03
 Inf
 2.51327422e+03
 Inf
 2.51328178e+03
 2.51348970e+03
 2.51349260e+03
 2.51335841e+03
 2.51342835e+03
 2.51373389e+03
 2.51349341e+03
 2.51354346e+03
 2.51360208e+03
 2.51343070e+03
 2.51348237e+03
 2.51345183e+03
 2.51349248e+03
 2.51368919e+03
 2.51360435e+03
 2.51331327e+03
 2.51333890e+03
 2.51357205e+03
 2.51372718e+03
 2.51348511e+03
 2.51347610e+03
 2.51357750e+03
 2.51362643e+03
 2.51345860e+03
 2.51332918e+03
 2.51348970e+03
 2.51348847e+03
 2.51348329e+03
 2.51383758e+03
 2.51356880e+03
 2.51346724e+03
 2.51341387e+03
 2.51328267e+03
 2.51329491e+03
 2.51332110e+03
 2.51354450e+03
 2.51369434e+03
 2.51338308e+03
 2.51333106e+03
 2.51339178e+03
 2.51347075e+03
 2.51352323e+03
 2.50728593e+03
 2.51342757e+03
 2.51367774e+03
 2.51371656e+03
 2.51333941e+03
 2.51338772e+03
 2.51343626e+03
 2.51341912e+03
 2.51349903e+03
 2.51349525e+03
 2.51355811e+03
 2.51343948e+03
 2.51334997e+03
 2.51331210e+03
 2.51328720e+03
 2.51330103e+03
 2.51327998e+03
 2.51328178e+03
 2.51327669e+03
 2.51328884e+03
 2.51340081e+03
 2.51333059e+03
 Inf
 Inf
 Inf
 2.51327456e+03
 2.51332825e+03
 2.51337035e+03
 2.51337598e+03
 2.51340509e+03
 2.51332596e+03
 Inf
 2.51330759e+03
 2.51342757e+03
 2.51338638e+03
 2.51348511e+03
 2.51344683e+03
 2.51328110e+03
 2.51327540e+03
 2.51333201e+03
 2.51333150e+03
 2.51331018e+03
 2.51341387e+03
 2.51347341e+03
 2.51359867e+03
 2.51379370e+03
 2.51354450e+03
 2.51342064e+03
 2.51373794e+03
 2.51358632e+03
 2.51331689e+03
 2.51339870e+03
 2.51332965e+03
 2.51335554e+03
 2.51341387e+03
 2.51344684e+03
 2.51344517e+03
 2.51340437e+03
 2.51346811e+03
 2.51391309e+03
 2.51380520e+03
 2.51336488e+03
 2.51337597e+03
 2.51331133e+03
 2.51329350e+03
 2.51359867e+03
 2.51371522e+03
 2.51356665e+03
 2.51369562e+03
 2.51373390e+03
 2.51371125e+03
 2.51366770e+03
 2.51383609e+03
 2.51364194e+03
 2.51395344e+03
 2.51442923e+03
 2.51404657e+03
 2.51419460e+03
 2.51450083e+03
 2.51396166e+03
 2.51366025e+03
 2.51415312e+03
 2.51446370e+03
 2.51378371e+03
 2.51353426e+03
 2.51405885e+03
 2.51425278e+03
 2.51412354e+03
 2.51409272e+03
 2.51376822e+03
 2.51371655e+03
 2.51344437e+03
 2.51337346e+03
 2.51357860e+03
 2.51344849e+03
 2.51345773e+03
 2.51355917e+03
 2.51351535e+03
 2.51350569e+03
 2.51365901e+03
 2.51387706e+03
 2.51340945e+03
 Inf
 2.51334043e+03
 2.51358190e+03
 2.51371919e+03
 2.51372202e+03
 2.51373389e+03
 2.51367145e+03
 2.51374337e+03
 2.51410533e+03
 2.51406584e+03
 2.51419653e+03
 2.51420070e+03
 2.51366396e+03
 2.51359982e+03
 2.51367396e+03
 2.51370864e+03
 2.51361472e+03
 2.51349434e+03
 2.51376403e+03
 2.51390045e+03
 2.51390534e+03
 2.51434532e+03
 2.51450528e+03
 2.51406062e+03
 2.51385564e+03
 2.51414197e+03
 2.51445502e+03
 2.51420225e+03
 2.51369433e+03
 2.51348878e+03
 2.51371653e+03
 2.51393717e+03
 2.51388945e+03
 2.51336548e+03
 2.51329434e+03
 2.51352921e+03
 2.51363355e+03
 2.51383312e+03
 2.51374610e+03
 2.51407123e+03
 2.51417756e+03
 2.51363713e+03
 2.51365773e+03
 2.51363116e+03
 2.51358856e+03
 2.51375296e+03
 2.51374331e+03
 2.51399673e+03
 2.51384656e+03
 2.51372184e+03
 2.51394690e+03
 2.51416249e+03
 2.51414740e+03
 2.51424097e+03
 2.51407657e+03
 2.51377946e+03
 2.51368409e+03
 2.51335554e+03
 2.51329161e+03
 2.51332240e+03
 2.51350282e+03
 2.51337408e+03
 Inf
 Inf
 Inf
 2.51327587e+03
 2.51328461e+03
 2.51328675e+03
 2.51329491e+03
 2.51330303e+03
 2.51329975e+03
 2.51331366e+03
 2.51339800e+03
 2.51349155e+03
 2.51338974e+03
 2.51345435e+03
 2.51351146e+03
 2.51337158e+03
 2.51327432e+03
 2.51327939e+03
 2.51338974e+03
 2.51349434e+03
 2.51396332e+03
 2.51400023e+03
 2.51348878e+03
 2.51337035e+03
 2.51327595e+03
 2.51327501e+03
 2.51333790e+03
 2.51333442e+03
 2.51453854e+03
 2.51635003e+03
 2.51488603e+03
 2.51449207e+03
 2.51475259e+03
 2.51504376e+03
 2.51568586e+03
 2.51495750e+03
 2.51472619e+03
 2.51556690e+03
 2.51576388e+03
 2.51503844e+03
 2.51444639e+03
 2.51489614e+03
 2.51556093e+03
 2.51528408e+03
 2.51510514e+03
 2.51526444e+03
 2.51487849e+03
 2.51461113e+03
 2.51512938e+03
 2.51556095e+03
 2.51492669e+03
 2.51490959e+03
 2.51623594e+03
 2.51659557e+03
 2.51597827e+03
 2.51540434e+03
 2.51490634e+03
 2.51475509e+03
 2.51434327e+03
 2.51460649e+03
 2.51541595e+03
 2.51509696e+03
 2.51496791e+03
 2.51443993e+03
 2.51408551e+03
 2.51426060e+03
 2.51385261e+03
 2.51392424e+03
 2.51423902e+03
 2.51403092e+03
 2.51392749e+03
 2.51420418e+03
 2.51574801e+03
 2.51635713e+03
 2.51485840e+03
 2.51511304e+03
 2.51524216e+03
 2.51496785e+03
 2.51542465e+03
 2.51539219e+03
 2.51440795e+03
 2.51340152e+03
 2.51341911e+03
 2.51349528e+03
 2.51346549e+03
 2.51427251e+03
 2.51541598e+03
 2.51565224e+03
 2.51517296e+03
 2.51525590e+03
 2.51486091e+03
 2.51448328e+03
 2.50058076e+03
 2.51459964e+03
 2.51521985e+03
 2.51545991e+03
 2.51557906e+03
 2.51496268e+03
 2.51500657e+03
 2.51555189e+03
 2.51563393e+03
 2.51586188e+03
 2.51520599e+03
 2.51510796e+03
 2.51512926e+03
 2.51487346e+03
 2.51454976e+03
 2.51419845e+03
 2.51517023e+03
 2.51621210e+03
 2.51587773e+03
 2.51542761e+03
 2.51530405e+03
 2.51514570e+03
 2.51470704e+03
 2.51531811e+03
 2.51562762e+03
 2.51510777e+03
 2.51476962e+03
 2.51494203e+03
 2.51504643e+03
 2.51467390e+03
 2.51483592e+03
 2.51519498e+03
 2.51553097e+03
 2.51586192e+03
 2.51571362e+03
 2.51492927e+03
 2.51499880e+03
 2.51527010e+03
 2.51490884e+03
 2.51424098e+03
 2.51371257e+03
 2.51394039e+03
 2.51465749e+03
 2.51428844e+03
 2.51432064e+03
 2.51538693e+03
 2.51498595e+03
 2.51418701e+03
 2.51419342e+03
 2.51409268e+03
 2.51406064e+03
 2.51405186e+03
 2.51484841e+03
 2.51595225e+03
 2.51588342e+03
 2.51574802e+03
 2.51563979e+03
 2.51512669e+03
 2.51523639e+03
 2.51556091e+03
 2.51481861e+03
 2.51546270e+03
 2.51582689e+03
 2.51534950e+03
 2.51532731e+03
 2.51421766e+03
 2.51341536e+03
 2.51331855e+03
 2.51346724e+03
 2.51364557e+03
 2.51367273e+03
 2.51388792e+03
 2.51368154e+03
 2.51342217e+03
 2.51331566e+03
 2.51329943e+03
 2.51328461e+03
 2.51339042e+03
 2.51363953e+03
 2.51356450e+03
 2.51367270e+03
 2.51347075e+03
 2.51339110e+03
 2.51347697e+03
 2.51347882e+03
 2.51338638e+03
 2.51346636e+03
 2.51347165e+03
 2.51340945e+03
 2.51367774e+03
 2.51366761e+03
 2.51357860e+03
 2.51358520e+03
 2.51377382e+03
 2.51366645e+03
 2.51344191e+03
 2.51357314e+03
 2.51364194e+03
 2.51364329e+03
 2.51352521e+03
 2.51349809e+03
 2.51385715e+03
 2.51365164e+03
 2.51351437e+03
 2.51353122e+03
 2.51358190e+03
 2.51399167e+03
 2.51395828e+03
 2.51379083e+03
 2.51349715e+03
 2.51339042e+03
 2.51344849e+03
 2.51333249e+03
 2.51353731e+03
 2.51362056e+03
 2.51330687e+03
 2.51329975e+03
 2.51327983e+03
 2.51328160e+03
 2.51341837e+03
 2.51371521e+03
 2.51343786e+03
 2.51332871e+03
 2.51351829e+03
 2.51345267e+03
 2.51329519e+03
 2.51327484e+03
 2.51331526e+03
 2.51336912e+03
 2.51329975e+03
 2.51331526e+03
 2.51352621e+03
 2.51373255e+03
 2.51388016e+03
 2.51393556e+03
 2.51363713e+03
 2.51339730e+03
 2.51338440e+03
 2.51355284e+03
 2.51362290e+03
 2.51454751e+03
 2.51621209e+03
 2.51604348e+03
 2.51546276e+03
 2.51541928e+03
 2.51553390e+03
 2.51523651e+03
 2.51624962e+03
 2.51618719e+03
 2.51498862e+03
 2.51496619e+03
 2.51488859e+03
 2.51528134e+03
 2.51666084e+03
 2.51636709e+03
 2.51533523e+03
 2.51478180e+03
 2.51423123e+03
 2.51403095e+03
 2.51381542e+03
 2.51357532e+03
 2.51361820e+03
 2.51377242e+03
 2.51514840e+03
 2.51590697e+03
 2.51595630e+03
 2.51671225e+03
 2.51605066e+03
 2.51618457e+03
 2.51615748e+03
 2.51546275e+03
 2.51512133e+03
 2.51582360e+03
 2.51658810e+03
 2.51591648e+03
 2.51496012e+03
 2.51517835e+03
 2.51468568e+03
 2.51413091e+03
 2.51422534e+03
 2.51392106e+03
 2.51338638e+03
 2.51333992e+03
 2.51342992e+03
 2.51348057e+03
 2.51350377e+03
 2.51346636e+03
 2.51361356e+03
 2.51382276e+03
 2.51390203e+03
 2.51363593e+03
 2.51393230e+03
 2.51423124e+03
 2.51379083e+03
 2.51447017e+03
 2.51547751e+03
 2.51470225e+03
 2.51493944e+03
 2.51502009e+03
 2.51459049e+03
 2.51501473e+03
 2.51592626e+03
 2.51568259e+03
 2.51511319e+03
 2.51501227e+03
 2.51491652e+03
 2.51508362e+03
 2.51509225e+03
 2.51474537e+03
 2.51444209e+03
 2.51468567e+03
 2.51522819e+03
 2.51630135e+03
 2.51662823e+03
 2.51575424e+03
 2.51561862e+03
 2.51560354e+03
 2.51608061e+03
 2.51532665e+03
 2.51472856e+03
 2.51567040e+03
 2.52078207e+03
 2.52642907e+03
 2.52215797e+03
 2.51786041e+03
 2.51640613e+03
 2.51723972e+03
 2.51714461e+03
 2.51650531e+03
 2.51688381e+03
 2.51598810e+03
 2.51527012e+03
 2.51586821e+03
 2.51563963e+03
 2.51516205e+03
 2.51527840e+03
 2.51590685e+03
 2.51573845e+03
 2.51509973e+03
 2.51489118e+03
 2.51492144e+03
 2.51529546e+03
 2.51540734e+03
 2.51578568e+03
 2.51517022e+03
 2.51518853e+03
 2.51572927e+03
 2.51539266e+03
 2.51546848e+03
 2.51484841e+03
 2.51442924e+03
 2.51410896e+03
 2.51365778e+03
 2.51347967e+03
 2.51366396e+03
 2.51417187e+03
 2.51407297e+03
 2.51375572e+03
 2.51364315e+03
 2.51376264e+03
 2.51381397e+03
 2.51362290e+03
 2.51364433e+03
 2.51387706e+03
 2.51425078e+03
 2.51550117e+03
 2.51447670e+03
 2.51330981e+03
 2.51376124e+03
 2.51453633e+03
 2.51397824e+03
 2.51390205e+03
 2.51440795e+03
 2.51445950e+03
 2.51328860e+03
 Inf
 2.51327830e+03
 2.51336790e+03
 2.51349434e+03
 2.51338308e+03
 2.51329462e+03
 2.51327474e+03
 Inf
 2.51327650e+03
 2.51337918e+03
 2.51332918e+03
 Inf
 Inf
 Inf
 2.51333201e+03
 2.51328502e+03
 Inf
 2.51327520e+03
 2.51331133e+03
 2.51337158e+03
 2.51328441e+03
 2.51328608e+03
 2.51350568e+03
 2.51342757e+03
 Inf
 Inf
 Inf
 2.51328093e+03
 2.51335726e+03
 2.51336309e+03
 2.51329943e+03
 2.51327911e+03
 Inf
 Inf
 2.51327465e+03
 2.51327413e+03
 Inf
 Inf
 2.51327422e+03
 2.51336729e+03
 2.51336976e+03
 Inf
 Inf
 Inf
 Inf
 2.51327711e+03
 Inf
 Inf
 Inf
 2.32839909e+255
 6.72870938e+270
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51351535e+03
 2.51349338e+03
 2.51352124e+03
 2.51418131e+03
 2.51337221e+03
 2.51327939e+03
 2.51336015e+03
 2.51328982e+03
 2.51330580e+03
 2.51329787e+03
 2.51327998e+03
 2.51330103e+03
 2.51352223e+03
 2.51351335e+03
 2.51336368e+03
 2.51337982e+03
 2.51339178e+03
 Inf
 Inf
 2.51359980e+03
 2.51330169e+03
 2.51329757e+03
 2.51345945e+03
 2.51333840e+03
 2.51330580e+03
 2.51333492e+03
 2.51339042e+03
 2.51332551e+03
 2.51335107e+03
 2.51335498e+03
 2.51333201e+03
 2.51335898e+03
 Inf
 Inf
 2.51329057e+03
 2.51334779e+03
 2.51333541e+03
 2.51333890e+03
 2.51339591e+03
 2.51329322e+03
 Inf
 Inf
 2.51335052e+03
 2.51362172e+03
 2.51392267e+03
 2.51376402e+03
 2.51339591e+03
 2.51328630e+03
 2.51336729e+03
 2.51355389e+03
 2.51341018e+03
 2.51357314e+03
 2.51359756e+03
 2.51346376e+03
 2.51337661e+03
 2.51331171e+03
 2.51337096e+03
 2.51359641e+03
 2.51338177e+03
 Inf
 1.09774594e+301
 Inf
 2.51327417e+03
 Inf
 Inf
 Inf
 2.51328812e+03
 2.51367774e+03
 2.51379229e+03
 2.51331288e+03
 Inf
 Inf
 Inf
 8.84873397e+288
 9.34666184e+259
 1.57056149e+308
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327432e+03
 2.51329880e+03
 Inf
 3.45921019e+219
 1.38620832e+303
 Inf
 2.51335162e+03
 2.51403094e+03
 2.51363593e+03
 2.51356024e+03
 2.51343228e+03
 2.51338242e+03
 2.51328286e+03
 Inf
 Inf
 Inf
 Inf
 1.20621196e+179
 6.37349042e+143
 4.01794289e+177
 9.88601685e+204
 1.74332706e+150
 1.27883230e+130
 3.67339346e+160
 Inf
 Inf
 3.35756561e+174
 2.77696276e+202
 2.51347697e+03
 2.51333840e+03
 5.36614031e+193
 3.94510899e+262
 7.76579144e+296
 Inf
 Inf
 Inf
 8.08315109e+219
 4.66692104e+211
 1.09984792e+199
 1.04611362e+141
 2.76716920e+103
 1.57240995e+113
 1.61216736e+172
 8.81224751e+208
 1.15975115e+135
 7.23971122e+154
 3.83146177e+163
 3.45641604e+146
 6.81922460e+182
 3.66492583e+179
 Inf
 2.51333541e+03
 2.51342835e+03
 Inf
 6.63798403e+158
 Inf
 Inf
 2.51327412e+03
 Inf
 Inf
 2.51327983e+03
 2.51341686e+03
 2.51360208e+03
 2.51398495e+03
 2.51391624e+03
 2.51356558e+03
 2.51363952e+03
 2.51336015e+03
 Inf
 Inf
 2.51327465e+03
 2.51333492e+03
 2.51332687e+03
 Inf
 Inf
 Inf
 Inf
 2.51327659e+03
 Inf
 Inf
 4.26984999e+246
 4.92819862e+245
 2.90499955e+307
 2.16323583e+300
 Inf
 2.51331249e+03
 2.51334618e+03
 2.51327631e+03
 7.48583763e+303
 6.60115614e+214
 Inf
 4.08169650e+276
 3.70533878e+247
 Inf
 Inf
 1.06689155e+230
 1.83717906e+274
 Inf
 Inf
 4.17726019e+229
 1.19776265e+232
 2.11759481e+211
 8.47258283e+258
 5.90715162e+186
 2.92542989e+249
 Inf
 7.09932105e+187
 9.67097453e+151
 1.71794766e+158
 1.17241028e+182
 9.40268527e+169
 1.73338620e+145
 3.17512036e+166
 1.07069083e+204
 1.36564490e+154
 7.12991374e+157
 1.03990547e+230
 2.70826367e+250
 3.69397299e+247
 1.09546462e+190
 1.74800241e+216
 1.06166294e+242
 7.70927852e+215
 9.15033683e+271
 4.94340388e+245
 1.02490886e+159
 7.33534450e+140
 9.84832462e+193
 Inf
 1.86697566e+270
 2.46527825e+188
 1.05475210e+268
 3.47193204e+222
 2.37401022e+160
 1.14282146e+181
 2.92130902e+249
 8.88208176e+207
 Inf
 Inf
 9.12193030e+206
 2.22197032e+156
 2.58944374e+133
 2.02747462e+169
 6.55053597e+181
 8.48661749e+242
 Inf
 1.63280390e+227
 1.48484122e+215
 Inf
 9.36636504e+259
 1.45618972e+219
 1.92424807e+265
 Inf
 Inf
 3.43791697e+219
 Inf
 Inf
 6.96531261e+265
 4.76530015e+204
 Inf
 4.07577754e+227
 2.51334198e+03
 2.51346987e+03
 2.51327998e+03
 2.51331813e+03
 Inf
 1.36057173e+285
 Inf
 2.51337598e+03
 2.51328675e+03
 Inf
 Inf
 4.24730700e+229
 9.22498052e+143
 1.74679405e+102
 1.21995015e+103
 1.32228737e+117
 6.48319811e+116
 Inf
 2.51327883e+03
 Inf
 2.09512095e+154
 1.57360283e+116
 1.11042247e+174
 7.37964018e+194
 1.67221715e+107
 2.15992014e+120
 4.67177427e+131
 7.76950697e+120
 3.57402504e+124
 9.43209039e+159
 4.08056400e+229
 1.72205430e+134
 2.37905875e+163
 1.97382571e+210
 9.35626170e+205
 Inf
 4.90825538e+273
 1.74068072e+225
 Inf
 2.42713103e+252
 3.17362785e+154
 8.57122022e+141
 4.42593312e+184
 2.87602323e+214
 Inf
 Inf
 2.05569577e+210
 1.17317147e+150
 4.12915135e+209
 3.14575889e+284
 1.05639772e+287
 Inf
 Inf
 3.47082948e+169
 3.08097440e+143
 2.41521731e+188
 1.23900060e+169
 8.26822318e+144
 1.73903933e+142
 3.11905728e+130
 1.17001455e+132
 2.08201183e+141
 3.70803190e+187
 4.94907255e+175
 2.60442759e+155
 3.32647238e+215
 4.66396829e+211
 1.73485158e+158
 2.50876220e+228
 Inf
 2.73767530e+230
 8.58204412e+166
 4.02859013e+132
 1.91729647e+118
 7.20270629e+117
 5.00896536e+127
 3.80242291e+163
 5.27543989e+301
 Inf
 1.86387788e+200
 6.17669907e+218
 3.95512968e+237
 1.21461355e+81
 1.25373035e+81
 7.09650087e+190
 6.44629946e+151
 9.18780939e+160
 1.08903088e+199
 5.90901662e+162
 2.09042611e+211
 Inf
 Inf
 5.15611927e+212
 3.44729217e+222
 4.45889053e+220
 1.43539964e+246
 Inf
 2.83818707e+259
 Inf
 1.82051055e+283
 6.97929009e+230
 9.81308593e+171
 3.87674277e+234
 Inf
 2.08226251e+181
 4.68986037e+181
 2.52726763e+213
 2.68142412e+275
 9.19185456e+209
 1.36660512e+154
 9.51356282e+129
 3.85578806e+153
 5.91820794e+221
 1.55826820e+280
 2.60909472e+258
 3.12882033e+232
 2.89893473e+214
 3.75746911e+200
 2.85189473e+195
 3.90741295e+153
 7.12902695e+157
 5.03445320e+148
 8.46886549e+166
 6.42036125e+180
 2.84180094e+195
 5.44958195e+198
 6.45759801e+180
 7.61936559e+200
 1.93747537e+174
 2.76787377e+259
 Inf
 2.74473438e+250
 2.09394876e+179
 4.05101457e+177
 2.59423470e+140
 1.07183938e+147
 4.05757018e+207
 3.03933306e+135
 3.11054349e+113
 1.26670846e+130
 8.31301226e+134
 1.31263079e+120
 3.34612744e+147
 8.03843352e+156
 1.01762889e+133
 1.90499730e+115
 3.39862379e+109
 2.63509543e+158
 2.23432632e+204
 9.57805231e+210
 1.10747710e+196
 9.36765479e+123
 2.20773249e+124
 3.80277487e+150
 2.72490589e+168
 1.98960589e+244
 Inf
 7.26050252e+303
 3.42823071e+219
 3.87140651e+163
 1.20269137e+166
 1.43957327e+237
 4.43774058e+205
 7.03217302e+224
 Inf
 1.85902610e+274
 2.00822270e+210
 5.19553826e+191
 8.84866247e+208
 3.66826385e+161
 4.42001397e+143
 6.37256257e+131
 6.04427953e+134
 1.32842992e+184
 1.05058424e+221
 2.88583843e+175
 1.07320970e+148
 2.51332024e+03
 2.51331811e+03
 4.16228203e+132
 3.63653614e+140
 3.83707410e+234
 2.86526626e+195
 3.39066452e+197
 8.21024656e+250
 7.69815933e+200
 7.00272394e+187
 8.97384612e+153
 1.27431283e+151
 2.72526163e+168
 1.88642364e+208
 1.71385427e+240
 2.86711640e+195
 7.44603368e+190
 3.39465389e+272
 1.08775776e+204
 6.51736078e+122
 8.31416244e+107
 4.32087133e+102
 3.86607679e+129
 3.26113810e+174
 4.21763981e+225
 7.44272542e+194
 2.60028170e+140
 7.05679157e+129
 3.77756144e+127
 6.36126777e+151
 3.13871731e+186
 1.23918715e+178
 5.29587922e+108
 9.76334473e+87
 4.33162324e+96
 4.23494800e+108
 9.39992610e+129
 4.27551287e+210
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327680e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327897e+03
 2.51332506e+03
 2.51329350e+03
 Inf
 Inf
 Inf
 Inf
 1.62678194e+264
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.15512202e+185
 1.97301386e+89
 2.89712677e+83
 4.34406234e+87
 2.11563373e+112
 5.63469394e+144
 8.38042588e+138
 1.56943388e+111
 2.72817283e+98
 6.61909603e+127
 1.15518413e+150
 7.57251504e+114
 3.47867261e+117
 1.39845664e+125
 6.03306786e+134
 4.82998059e+217
 Inf
 Inf
 Inf
 6.82436248e+127
 1.77592565e+99
 5.69809152e+105
 2.28962980e+130
 3.61735304e+181
 1.54409493e+308
 Inf
 2.27903398e+183
 1.28553849e+130
 3.82875309e+115
 1.57739240e+128
 9.28858714e+162
 1.07969213e+187
 1.13131120e+213
 5.76801979e+189
 1.46172117e+162
 1.76186748e+231
 1.25069285e+183
 5.22130599e+166
 9.27663808e+205
 3.43871682e+148
 1.63218795e+172
 5.57972782e+195
 7.23436277e+111
 6.14335659e+124
 2.53369283e+226
 6.54893915e+214
 3.11000996e+232
 9.38517897e+205
 3.90241176e+159
 1.27580207e+151
 9.84036749e+191
 Inf
 4.53054478e+199
 3.10153354e+232
 Inf
 1.09229358e+238
 5.19503541e+203
 4.58531062e+188
 6.41942631e+131
 1.01924754e+120
 3.75859857e+128
 3.36587110e+95
 2.48389342e+92
 1.38452694e+98
 2.29588556e+98
 9.73210671e+100
 5.96015245e+120
 3.84395325e+153
 4.26838502e+138
 1.88848449e+133
 2.92637330e+122
 1.26462655e+113
 1.10260801e+146
 3.04194542e+138
 4.15081656e+123
 6.35300632e+151
 1.23353172e+183
 8.25513933e+222
 4.02455327e+276
 2.00001810e+206
 2.09311736e+205
 7.42097627e+183
 1.22471681e+124
 3.99120152e+177
 1.05171135e+268
 1.49313318e+141
 2.51375434e+03
 2.52275505e+03
 2.52389405e+03
 2.52094075e+03
 2.51653040e+03
 2.51402231e+03
 2.51347340e+03
 2.51334043e+03
 2.51327452e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.39349919e+293
 2.71275712e+275
 2.97216754e+238
 2.90136065e+307
 Inf
 Inf
 Inf
 1.59209318e+280
 Inf
 Inf
 2.13909710e+211
 1.09146924e+248
 4.65906538e+157
 2.36767659e+146
 6.80433290e+230
 6.48471193e+180
 6.41295802e+131
 1.64436723e+168
 3.91809133e+262
 1.06861285e+242
 3.82744015e+268
 2.27395121e+204
 1.67375675e+175
 1.57931523e+147
 7.37799566e+125
 2.40016581e+188
 1.78515634e+283
 2.09032318e+154
 1.43326078e+123
 4.46218399e+123
 6.35173485e+151
 1.33963845e+173
 7.41812779e+283
 2.36484273e+256
 2.32805462e+161
 Inf
 2.51327983e+03
 2.51332506e+03
 2.51337661e+03
 2.51332918e+03
 Inf
 2.44167932e+163
 Inf
 2.51341988e+03
 2.51339041e+03
 2.51340509e+03
 2.51329943e+03
 2.51129703e+03
 2.51330580e+03
 Inf
 3.09504482e+189
 4.16961107e+209
 1.18235983e+179
 3.03817282e+189
 1.17012918e+150
 3.79775865e+114
 3.18199713e+134
 6.31673501e+143
 2.18103713e+120
 7.89990770e+119
 4.82448251e+115
 1.57868109e+113
 3.37082781e+148
 2.39829711e+149
 1.69420168e+155
 1.43474422e+237
 8.79778393e+298
 2.62492884e+226
 9.98014176e+191
 7.40566396e+183
 7.39442703e+194
 9.29941872e+185
 6.50419159e+214
 3.76281631e+241
 5.61969929e+233
 Inf
 6.71994881e+173
 8.55301332e+105
 1.59710991e+127
 3.61217011e+179
 4.08075042e+208
 1.34975898e+263
 8.15223652e+238
 1.57230936e+138
 4.95821897e+122
 1.71675248e+165
 2.76031257e+259
 4.47967794e+220
 3.24296710e+134
 2.81003655e+121
 2.56988828e+155
 4.84138556e+133
 1.58183204e+103
 3.86699387e+129
 3.35940858e+169
 9.68576299e+174
 1.63010468e+146
 1.65476856e+175
 Inf
 Inf
 Inf
 2.51329548e+03
 2.51329350e+03
 2.51332110e+03
 2.51330303e+03
 Inf
 2.51327474e+03
 2.51330303e+03
 Inf
 2.51327456e+03
 Inf
 Inf
 2.02740141e+223
 4.07741861e+177
 2.91869381e+249
 1.76376713e+216
 2.32125977e+253
 Inf
 Inf
 Inf
 Inf
 9.84027088e+278
 2.79640658e+235
 Inf
 6.58138129e+180
 1.07144541e+99
 2.40346654e+123
 5.65703508e+144
 3.35566268e+145
 1.48921187e+143
 8.30837713e+258
 Inf
 1.97503321e+265
 3.48485291e+261
 Inf
 1.21062450e+203
 1.13030048e+153
 2.36078000e+252
 Inf
 Inf
 Inf
 1.07412033e+287
 3.98889795e+237
 3.27228015e+248
 4.65925929e+157
 2.98174766e+126
 2.07866489e+141
 2.80938340e+120
 1.20379550e+129
 5.72118652e+161
 1.10822006e+158
 5.76581034e+161
 1.29766517e+188
 7.64420942e+215
 1.06113169e+268
 7.98206828e+257
 5.49411741e+198
 Inf
 Inf
 3.80342309e+304
 Inf
 1.37122706e+202
 Inf
 2.51327780e+03
 7.49369528e+303
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.32275846e+271
 Inf
 Inf
 Inf
 Inf
 5.77901018e+285
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327548e+03
 2.51327507e+03
 1.51098468e+237
 3.42993934e+156
 8.48493706e+166
 2.05044752e+190
 3.24417979e+248
 5.90396415e+160
 7.26752388e+170
 2.86702925e+214
 3.63634503e+180
 9.19126311e+216
 2.60031411e+226
 1.56910431e+201
 2.10781234e+211
 7.68424322e+290
 Inf
 1.14853736e+174
 2.17307989e+196
 6.15569040e+239
 1.45279563e+219
 Inf
 Inf
 Inf
 2.51327650e+03
 2.51327659e+03
 2.51327460e+03
 Inf
 1.08122806e+287
 Inf
 2.51330303e+03
 2.51327631e+03
 Inf
 2.51327669e+03
 2.51328061e+03
 Inf
 2.51328765e+03
 2.51328502e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327897e+03
 Inf
 4.42429919e+210
 Inf
 2.48885709e+257
 2.11850891e+141
 7.35316724e+190
 1.70786673e+240
 7.45560943e+194
 1.08239432e+147
 9.15793219e+139
 4.90873861e+152
 9.00640194e+209
 4.18836060e+49
 1.82434869e+44
 6.68377011e+99
 2.08571893e+65
 1.21180927e+76
 1.94015589e+116
 2.08389864e+102
 1.94022739e+65
 1.55547222e+68
 1.24347589e+140
 5.59950764e+169
 2.97576653e+242
 3.88774326e+279
 2.61130590e+150
 8.23867351e+144
 2.30483597e+177
 2.74039893e+168
 3.79611008e+178
 9.65750343e+151
 5.78373868e+111
 1.99261809e+101
 4.59227750e+95
 3.33615117e+95
 7.93449074e+84
 5.01311325e+75
 2.21181746e+89
 3.79495704e+98
 6.92210917e+94
 1.10408143e+93
 1.03301562e+90
 3.33504232e+92
 8.15115359e+79
 1.64771754e+86
 2.35593985e+114
 3.81266256e+115
 1.20193528e+129
 3.45647330e+131
 2.80336267e+120
 1.70361504e+89
 3.38716858e+75
 2.85496154e+92
 3.29086734e+103
 5.29534261e+81
 6.04963719e+70
 2.54657749e+83
 8.35363192e+81
 3.32997862e+76
 6.72502716e+104
 1.73115152e+102
 8.52383559e+87
 3.14926394e+85
 6.63251409e+81
 6.77775224e+100
 5.95976099e+120
 5.97634470e+114
 Inf
 Inf
 1.08430109e+44
 8.18417179e+21
 7.95910175e+22
 6.71997057e+31
 2.01567071e+32
 8.26059857e+29
 1.58339526e+31
 1.21976029e+36
 4.27819461e+36
 1.92950033e+34
 5.93516686e+36
 5.73687551e+38
 2.11905004e+38
 7.09118377e+43
 6.25707599e+41
 2.94981988e+39
 6.99456622e+41
 1.15183320e+44
 3.21294382e+46
 1.12754471e+45
 1.50143298e+42
 2.70814274e+42
 7.09793009e+42
 1.02683436e+40
 2.60613927e+36
 1.98740401e+35
 8.57120534e+34
 2.88758490e+38
 1.06051831e+38
 1.83299701e+33
 3.66309802e+40
 1.79642101e+47
 3.89359515e+42
 3.38032872e+44
 1.64399688e+41
 4.24946825e+35
 3.12455513e+40
 3.45796155e+50
 1.69349760e+46
 6.58542957e+44
 5.58149330e+50
 1.90940198e+51
 4.77741813e+48
 3.59461457e+46
 1.87901518e+46
 1.71235168e+48
 9.39865755e+48
 9.59972280e+47
 4.13821172e+47
 1.41444013e+46
 2.53199544e+54
 3.38574486e+56
 1.55719840e+44
 1.63408558e+45
 1.66469529e+51
 1.42886419e+50
 5.16820385e+48
 1.27267418e+46
 7.99942775e+46
 2.43515274e+48
 1.55880021e+41
 5.89253665e+41
 1.12270812e+45
 1.19314184e+44
 2.68963641e+49
 2.55880314e+45
 6.27638600e+47
 3.06826584e+53
 2.61975344e+44
 4.86793817e+40
 8.98486827e+39
 3.09948294e+39
 9.97026514e+39
 4.08299733e+38
 2.69641752e+38
 8.12633658e+38
 5.75250756e+39
 2.59111032e+39
 6.18076815e+37
 8.93467620e+33
 4.39521180e+34
 5.99612968e+40
 3.72111105e+41
 1.04942465e+41
 6.08522259e+32
 1.22186595e+35
 4.98304155e+44
 2.24719384e+48
 1.75219588e+46
 4.31365998e+41
 1.11656844e+42
 5.08362559e+42
 1.56686270e+46
 2.87832135e+52
 3.05643666e+60
 8.98782707e+71
 1.88559023e+88
 1.23427699e+108
 1.71931788e+142
 3.81935887e+163
 1.70428874e+186
 1.28159624e+151
 3.94408169e+144
 1.70036231e+117
 6.64413669e+91
 6.88864640e+86
 2.20342039e+126
 9.54360858e+151
 4.16286775e+135
 7.48813727e+290
 4.83078682e+240
 1.50882995e+143
 1.96167396e+98
 2.98562049e+68
 8.01885760e+66
 9.13788560e+78
 1.24658212e+83
 1.15880337e+87
 8.13576640e+79
 2.55587923e+78
 1.66985790e+85
 2.74520097e+68
 1.17079911e+69
 7.32699845e+88
 7.84171280e+86
 1.86710069e+71
 4.08091842e+68
 7.50370562e+80
 1.44957252e+86
 2.57737915e+70
 9.88435550e+71
 2.55379569e+198
 7.50739571e+132
 1.52773436e+87
 1.63390543e+107
 1.00699597e+91
 1.98542877e+100
 1.02670331e+92
 1.69022223e+89
 5.04489124e+118
 2.00018208e+180
 4.18223060e+158
 1.52394560e+114
 8.93857229e+98
 1.60630315e+97
 5.69362172e+105
 1.68634374e+85
 3.24465691e+67
 7.28373340e+95
 6.04824455e+113
 5.95763286e+81
 1.30132195e+85
 4.44863202e+89
 9.43374489e+94
 2.37508388e+115
 9.98157292e+97
 8.10298791e+66
 3.59383042e+70
 2.15803363e+73
 3.80304125e+72
 8.57667285e+95
 6.18635125e+84
 2.07239268e+78
 1.22023936e+76
 4.66612746e+70
 2.18647409e+67
 6.57913422e+73
 2.07695368e+77
 2.35963629e+70
 1.01263866e+92
 1.54757152e+111
 2.25745903e+106
 1.49928116e+115
 8.38266692e+96
 9.25087902e+93
 2.06291456e+74
 9.02535078e+44
 1.98128412e+58
 1.59599798e+216
 5.87956052e+186
 9.75609273e+171
 5.13862483e+203
 1.41197299e+131
 1.02991452e+87
 3.32493537e+95
 4.97611982e+128
 5.54926232e+107
 2.25730693e+87
 1.68721604e+89
 2.21615737e+122
 4.00459124e+103
 5.18450208e+102
 6.31737147e+95
 3.82794543e+104
 5.52443654e+174
 4.41685063e+176
 9.20709798e+139
 1.48961914e+163
 Inf
 1.35440284e+241
 9.91130427e+115
 7.57527837e+90
 8.16644908e+92
 6.91576154e+82
 3.68846622e+94
 9.15395297e+123
 9.44769178e+129
 1.90369832e+115
 9.26821210e+76
 1.77062625e+69
 2.69545582e+93
 1.00267411e+91
 2.47014851e+76
 1.15503476e+87
 8.48223540e+88
 1.09943766e+84
 3.01673049e+82
 1.01513971e+71
 1.24114192e+77
 1.11090534e+89
 4.05152599e+106
 1.80298095e+140
 3.23386909e+90
 9.67376063e+73
 9.79759150e+82
 1.68492532e+70
 7.61874886e+70
 1.38505861e+96
 4.34472909e+96
 8.12806711e+110
 1.57332419e+103
 3.79375704e+79
 1.12079904e+86
 5.99442183e+97
 1.69360660e+89
 8.32772752e+101
 2.65434139e+112
 3.19134962e+94
 3.39308493e+79
 3.67974927e+76
 3.97862123e+100
 1.22862348e+104
 2.37706410e+100
 2.62067039e+104
 1.20897987e+169
 3.79659791e+178
 1.09485642e+94
 2.04028119e+67
 3.17764307e+64
 2.38957444e+95
 3.66668673e+107
 9.45287854e+81
 3.37776325e+79
 6.72794593e+83
 1.55325810e+72
 1.30203265e+70
 1.35874556e+92
 8.01023475e+112
 4.17177613e+130
 5.44542376e+132
 3.84238020e+98
 1.23981844e+108
 8.85211705e+127
 1.19123221e+166
 Inf
 Inf
 5.94472169e+161
 7.28594768e+154
 1.21547778e+171
 3.13528754e+130
 8.05868240e+184
 6.63908129e+270
 1.19117793e+182
 2.43412662e+111
 4.94827854e+88
 5.67288639e+105
 5.20050759e+145
 4.67658730e+120
 2.76105961e+109
 1.57401796e+128
 1.01836925e+120
 1.00061909e+121
 6.93552632e+192
 Inf
 1.21240314e+232
 3.04693121e+114
 2.16390704e+135
 1.86725789e+208
 1.73415714e+158
 3.87220054e+159
 1.58850735e+103
 1.25618422e+73
 1.66516156e+85
 6.01469827e+115
 9.95823794e+99
 4.33031495e+80
 2.15546046e+68
 7.69446343e+58
 1.04415433e+56
 7.19422120e+55
 1.75459315e+60
 8.40603694e+68
 1.05327592e+74
 4.83351317e+74
 1.41508087e+72
 2.53495919e+89
 4.77690226e+103
 1.92992877e+111
 1.28969074e+93
 7.63831881e+71
 9.82008235e+85
 8.60523015e+83
 4.11519849e+75
 2.43263998e+85
 1.06230582e+81
 8.77600712e+73
 4.13198369e+83
 7.00876603e+92
 2.01579595e+93
 4.98181991e+87
 2.34020882e+93
 1.18908186e+109
 2.86416154e+77
 2.83889889e+78
 4.27551467e+93
 1.22719002e+78
 1.15605510e+87
 1.07436832e+94
 4.26969678e+110
 5.16296652e+109
 9.96655771e+97
 2.97825119e+114
 7.87358392e+109
 4.63710922e+85
 8.47168762e+80
 5.86894165e+89
 3.15060332e+73
 5.98612778e+72
 9.70245866e+96
 1.20859588e+105
 2.35458612e+93
 2.09042163e+90
 5.30959882e+77
 2.38915748e+66
 7.93182457e+73
 9.66645803e+88
 2.71224284e+94
 3.70621792e+94
 1.75934754e+99
 1.64981111e+96
 1.65831339e+86
 1.39664833e+100
 2.38027230e+115
 1.52880187e+108
 1.45458449e+141
 1.16691892e+182
 3.14892806e+154
 2.58399126e+140
 1.56831027e+147
 3.37184371e+147
 5.02166321e+106
 2.62539749e+105
 2.13828842e+152
 3.62978343e+120
 3.36022309e+95
 5.71454954e+100
 1.44123339e+102
 4.87068477e+101
 4.13052809e+112
 1.02172900e+80
 1.88430586e+82
 4.11296466e+141
 2.51327805e+03
 2.51345690e+03
 Inf
 2.51328160e+03
 2.51328836e+03
 1.70146719e+296
 1.21720221e+115
 5.73771207e+91
 3.57922879e+85
 5.29214864e+83
 4.38492857e+66
 3.13805156e+78
 2.26759325e+83
 3.19402889e+62
 9.31620983e+66
 2.98466197e+74
 1.36251293e+92
 4.81665432e+113
 4.38636530e+87
 6.75101410e+83
 2.02450110e+84
 8.48249207e+84
 5.23637249e+79
 2.74762644e+80
 3.27659580e+112
 2.84011678e+100
 2.09538904e+90
 2.93771563e+89
 1.06391002e+81
 3.66255417e+91
 1.74400290e+92
 1.01601037e+80
 6.61728834e+81
 1.67253884e+85
 3.14922859e+86
 5.24078607e+79
 4.76575894e+77
 3.42726690e+69
 1.01075036e+77
 7.40207591e+102
 5.83405209e+101
 8.32507867e+78
 2.98026270e+50
 1.26752534e+54
 4.13697821e+110
 1.00180343e+105
 2.44749091e+72
 1.70980931e+87
 5.67850715e+87
 1.65332431e+86
 1.72159795e+87
 5.21040291e+69
 1.21482597e+78
 2.09554867e+81
 1.18792504e+81
 9.44373545e+113
 1.30883312e+177
 4.07393543e+136
 6.12217495e+113
 3.33856654e+169
 2.93337836e+136
 6.02395732e+120
 7.44599857e+95
 2.57448282e+83
 2.11078614e+112
 1.53822750e+138
 7.43442949e+132
 4.68820618e+131
 3.37346574e+222
 1.75768803e+216
 2.94229537e+119
 4.08886920e+101
 2.48606192e+99
 1.24618235e+106
 6.36157944e+109
 2.99715086e+102
 5.83281499e+101
 6.63217273e+70
 1.08075321e+72
 1.03834062e+125
 1.85807166e+123
 1.18191857e+98
 8.31665614e+78
 3.77755618e+68
 2.00012795e+83
 1.18613845e+110
 4.35139032e+94
 1.26869890e+80
 9.18512039e+93
 5.96309797e+66
 2.32703831e+61
 6.67770304e+100
 2.07402372e+102
 1.55574498e+74
 9.44956312e+72
 1.46376364e+104
 6.44394612e+112
 1.91558368e+85
 1.76185648e+79
 3.02559034e+79
 1.27623476e+89
 1.18675599e+109
 9.76612694e+100
 1.88834344e+103
 2.18681404e+88
 4.35269759e+87
 7.64660971e+120
 1.87817701e+108
 2.62679121e+105
 1.37284477e+112
 2.41913141e+125
 1.54499164e+138
 8.93042193e+127
 5.56689131e+125
 1.21894056e+105
 3.68002751e+107
 3.61068845e+121
 2.81504314e+128
 2.54553601e+153
 2.59719278e+170
 1.34524854e+173
 4.06512476e+183
 7.46766956e+152
 9.54337291e+114
 1.39732390e+125
 Inf
 5.60695226e+264
 2.86932340e+128
 2.18779693e+156
 2.56397936e+153
 5.98401926e+138
 1.25917490e+214
 3.67354125e+247
 2.20114175e+121
 6.38995781e+109
 2.45609223e+142
 1.62285366e+97
 2.41146113e+90
 2.77255175e+86
 9.53513257e+74
 1.23462651e+84
 6.62888346e+81
 3.76720614e+79
 5.38229921e+80
 1.57550399e+80
 1.58389007e+92
 6.35749727e+122
 6.48049079e+112
 2.79605608e+85
 4.28222534e+88
 7.44816269e+102
 1.73007815e+102
 4.59367390e+95
 2.25431989e+110
 1.50774817e+114
 1.08725672e+103
 2.37383729e+114
 2.47125165e+113
 3.01850924e+115
 2.56305295e+133
 1.07528078e+119
 1.00406282e+105
 3.98535753e+103
 4.66354220e+124
 3.82375232e+115
 3.41328205e+101
 1.88802070e+114
 1.20235542e+114
 1.72341185e+122
 4.88238886e+152
 2.96931784e+157
 3.37934010e+147
 6.52813682e+116
 1.61464673e+97
 4.74260998e+119
 5.82051382e+103
 4.64613850e+104
 3.65954850e+167
 1.83456500e+109
 7.10944560e+96
 3.21785846e+139
 7.09789454e+123
 5.11021678e+118
 1.73788129e+102
 9.94367221e+85
 8.10821988e+100
 4.31556485e+93
 6.46750000e+88
 4.72332147e+119
 3.79741398e+150
 1.85510035e+125
 4.27253107e+108
 3.18914766e+105
 4.13625383e+112
 9.29418517e+93
 1.11164773e+88
 3.08219331e+118
 9.79074709e+100
 1.96548013e+113
 2.66457025e+112
 1.39361800e+98
 1.01622015e+122
 1.05989730e+148
 3.78454287e+128
 5.56166904e+66
 5.98912300e+73
 8.38736493e+131
 1.62413457e+172
 4.97091745e+147
 1.72819338e+112
 1.25143300e+106
 1.47006307e+105
 7.02788559e+123
 2.50940184e+116
 1.89626929e+86
 1.40254018e+84
 1.45713761e+109
 3.40727776e+101
 1.93947397e+96
 3.69041567e+90
 1.88668540e+77
 5.32860888e+74
 1.57692304e+84
 4.31153896e+94
 6.01606046e+97
 1.59541996e+92
 1.72554783e+87
 9.53775836e+74
 8.89346663e+77
 3.66181785e+90
 3.02426066e+82
 1.54807361e+70
 1.51727472e+55
 5.71668654e+65
 8.55991362e+90
 4.49740383e+98
 1.52043641e+108
 5.20607254e+145
 3.06678270e+143
 6.88446160e+93
 4.15961869e+109
 7.72060953e+120
 2.73481066e+98
 1.10292960e+84
 2.23387181e+65
 1.68252293e+77
 1.21110370e+116
 1.39637862e+101
 1.38108148e+131
 2.53552638e+164
 6.41845028e+98
 1.84980476e+92
 1.79018185e+140
 5.73682767e+135
 3.18974225e+116
 5.14328437e+96
 4.19767763e+81
 3.81655480e+72
 1.35166836e+78
 9.68900162e+88
 3.37336509e+89
 1.10347338e+95
 2.32891335e+94
 2.78392936e+67
 8.04759605e+64
 1.72946318e+99
 1.18605706e+115
 1.39600668e+101
 3.18105121e+94
 2.37457965e+115
 2.00746094e+94
 8.15573817e+79
 3.43653466e+80
 2.09792017e+81
 5.38643722e+80
 1.26468281e+88
 7.06415630e+111
 4.98255240e+106
 4.27678110e+91
 4.33826354e+96
 6.91897302e+105
 1.52435254e+108
 1.01996956e+104
 4.59619230e+95
 3.58201424e+102
 2.08064289e+95
 1.16111409e+101
 1.38985848e+101
 1.59715058e+92
 1.54649913e+116
 2.14815678e+117
 1.44836384e+102
 1.38940948e+98
 5.11584977e+96
 1.17407177e+128
 3.42753387e+146
 1.30122369e+121
 1.23436245e+116
 7.01613851e+103
 1.68013417e+126
 9.15087106e+126
 1.11340371e+93
 5.16785612e+129
 5.71498999e+171
 9.16064729e+143
 4.40349595e+143
 3.79340920e+114
 2.70685989e+82
 5.66744490e+87
 1.32406239e+87
 1.08679302e+138
 2.88784224e+238
 4.60074836e+98
 3.75569631e+88
 4.77509086e+103
 2.97642616e+111
 4.67723849e+124
 2.02269695e+107
 1.67118353e+88
 1.36296165e+112
 3.62083007e+112
 2.79266735e+121
 3.74866315e+182
 4.29392440e+151
 1.90426288e+151
 2.17781055e+129
 2.90599069e+119
 2.44125809e+118
 7.52376287e+102
 2.29241897e+108
 3.16591712e+73
 7.20951954e+77
 3.37661283e+131
 3.39195983e+148
 2.39440964e+257
 Inf
 Inf
 2.44555319e+252
 2.27030462e+204
 1.08960371e+190
 1.13199242e+213
 1.18098339e+224
 1.51156867e+163
 4.29013019e+196
 1.03108055e+276
 Inf
 Inf
 Inf
 1.65755286e+229
 1.72287729e+186
 Inf
 Inf
 2.35324413e+253
 1.38405999e+269
 8.94327610e+82
 6.05472289e+33
 1.23257598e+16
 6.39991299e+10
 1.11424353e+10
 5.51812719e+14
 4.02607461e+31
 4.70504754e+46
 1.54262767e+97
 6.48129201e+118
 5.70004901e+161
 1.49437558e+143
 1.72679878e+112
 1.29009840e+121
 9.05240355e+161
 3.36703193e+197
 3.31722636e+293
 5.43005874e+236
 1.09261012e+187
 1.89419653e+208
 2.67860544e+275
 1.48889199e+234
 4.94222268e+217
 Inf
 2.51328608e+03
 Inf
 Inf
 Inf
 3.44656740e+197
 2.64789869e+193
 Inf
 Inf
 1.73876272e+186
 3.71965948e+160
 1.55969898e+170
 6.40324836e+131
 1.26723976e+151
 6.82790700e+182
 9.71017911e+174
 3.74004469e+187
 1.73939598e+150
 1.06811408e+148
 3.35404083e+197
 2.78947284e+202
 1.94479061e+194
 1.96766149e+166
 8.54516871e+105
 2.33988795e+106
 5.37486872e+123
 8.33411161e+138
 7.05446787e+129
 6.40291168e+109
 1.89969629e+97
 3.83510234e+82
 1.07215800e+94
 2.98760552e+138
 7.39991468e+152
 1.59146852e+113
 3.00000837e+102
 1.22946424e+104
 2.76328056e+91
 6.53868178e+79
 1.89486875e+85
 5.26540556e+110
 6.45809805e+112
 2.00012500e+100
 3.96388285e+118
 2.08578774e+119
 2.54473396e+131
 2.74215240e+172
 1.11934244e+146
 4.76248173e+154
 1.12144589e+153
 9.54366992e+114
 9.03535603e+84
 4.60077519e+85
 1.66276111e+100
 9.68035683e+100
 1.36425199e+119
 8.98734491e+128
 4.70156035e+124
 8.38084720e+122
 6.85906771e+93
 2.98072545e+102
 1.87350409e+151
 5.69874546e+144
 1.16057907e+150
 7.82251340e+149
 2.95119441e+132
 Inf
 3.15297068e+260
 4.59408806e+92
 1.84143912e+106
 6.46011696e+116
 1.72513865e+142
 5.17566181e+166
 9.82233219e+109
 3.19265075e+93
 1.83676419e+123
 2.15586917e+132
 9.38555979e+132
 3.48355539e+108
 3.21320772e+90
 6.40743815e+112
 3.18212825e+104
 5.25808102e+85
 2.70335597e+98
 2.25686389e+110
 4.51133349e+107
 9.04029382e+106
 1.85124769e+106
 2.06961125e+91
 2.73339596e+109
 2.69841338e+144
 1.62042215e+146
 3.62573206e+120
 1.89957655e+114
 5.02561711e+142
 2.81017079e+120
 4.33554366e+102
 1.06547273e+119
 7.89540823e+137
 7.64114793e+145
 8.14399652e+124
 7.89891418e+135
 2.16217337e+152
 3.02375894e+102
 1.03226762e+103
 2.92699189e+141
 2.81428711e+121
 4.65027278e+120
 1.71542402e+165
 4.42630000e+134
 8.40166778e+122
 4.50714123e+165
 2.19085443e+135
 2.82535864e+128
 7.22721534e+147
 6.18349307e+119
 5.96425388e+141
 1.68071035e+197
 2.07403598e+154
 4.29613982e+108
 4.88689931e+147
 7.00385554e+192
 2.31217567e+161
 5.83566151e+160
 2.92906185e+136
 3.90773638e+129
 2.29391414e+162
 1.73669091e+216
 4.38492177e+170
 2.69969363e+198
 1.45081695e+237
 5.06740571e+106
 8.34766714e+99
 5.63775259e+171
 6.53844903e+201
 1.42050481e+191
 1.27419412e+111
 5.36418077e+98
 1.56710635e+128
 2.08184296e+124
 3.10509727e+130
 7.31188079e+146
 4.59163489e+157
 5.69060664e+104
 2.63994589e+104
 4.95234594e+148
 1.72849798e+112
 2.82590050e+127
 4.89091440e+152
 6.14106450e+163
 7.03419722e+192
 4.95822086e+152
 5.86020222e+162
 2.73239714e+185
 6.18015893e+163
 1.26923606e+214
 7.42273083e+235
 1.92712869e+151
 3.64104228e+181
 7.46533562e+152
 5.71469390e+150
 7.54310211e+290
 5.81343217e+189
 4.88245972e+115
 2.26029485e+106
 3.46882691e+117
 4.86133285e+113
 6.47609765e+116
 4.22658640e+151
 2.17059493e+132
 1.50585355e+137
 2.38116051e+163
 7.69186856e+130
 7.23248695e+147
 8.32453115e+258
 5.01837614e+147
 1.99070922e+116
 7.34698809e+152
 1.59729950e+132
 3.58474123e+124
 5.99846649e+85
 1.35960894e+78
 8.74043992e+111
 1.73481076e+102
 1.93991465e+96
 5.71618321e+100
 8.70723806e+90
 1.81320309e+90
 1.29148941e+95
 8.99940168e+106
 2.13275579e+112
 1.70050889e+89
 1.46255082e+94
 1.07419269e+149
 9.05386630e+128
 2.02465647e+107
 3.49312732e+133
 1.88604123e+144
 1.85282787e+125
 4.39993824e+184
 3.35104511e+215
 3.09952338e+143
 8.89800443e+153
 1.72822995e+145
 1.85318466e+125
 2.54290414e+153
 5.61942420e+169
 1.07499841e+125
 2.72722391e+124
 9.44904701e+129
 5.44453159e+132
 5.57363091e+125
 2.18314803e+104
 7.09923274e+96
 2.98425543e+102
 6.06435800e+113
 5.09542246e+118
 2.56581436e+133
 1.61069225e+127
 1.86129013e+106
 1.79677916e+104
 6.41536349e+108
 4.25361637e+108
 6.64709045e+127
 5.67126409e+137
 1.29732822e+89
 1.40638479e+75
 3.46553427e+99
 5.88468318e+138
 4.06079789e+100
 2.23463349e+89
 2.87417696e+92
 3.69126490e+83
 9.84363034e+99
 3.45729853e+110
 2.08062318e+102
 2.16031289e+105
 4.28845620e+110
 4.03540456e+100
 5.07909822e+116
 7.19955031e+117
 6.85141582e+93
 1.25239365e+113
 2.17544642e+156
 3.60238540e+124
 1.61749432e+97
 8.30084532e+122
 1.03078980e+141
 3.90066042e+113
 3.85059243e+104
 4.64537162e+131
 1.27360451e+130
 4.67857070e+104
 4.15870341e+130
 1.17001253e+132
 2.09982747e+136
 1.32912945e+184
 1.59307030e+103
 5.65905555e+88
 2.47732320e+116
 3.48004207e+117
 7.75281464e+136
 5.15324712e+140
 3.52856000e+133
 2.16634621e+138
 2.41842273e+111
 1.99933581e+100
 1.18656820e+115
 1.37707700e+112
 3.31333927e+103
 3.75359187e+114
 8.46258609e+105
 8.37999603e+101
 1.86856680e+131
 2.26128915e+173
 1.93438107e+194
 6.68784009e+110
 1.52170195e+95
 1.83825951e+123
 2.26091833e+119
 5.44577847e+80
 3.18430813e+72
 1.63839046e+101
 4.64182368e+104
 2.00170625e+94
 5.28842021e+110
 1.20639756e+124
 6.87920152e+126
 1.31010819e+120
 1.70868565e+130
 5.02661109e+127
 9.53691390e+94
 6.96818559e+103
 1.32222489e+122
 5.74871427e+111
 1.89510306e+157
 6.44650643e+179
 3.28460464e+152
 2.40236486e+101
 7.05650398e+92
 1.69118623e+165
 3.39742925e+156
 2.14128332e+143
 9.62452284e+174
 2.52381168e+213
 Inf
 2.54806596e+221
 2.51340654e+03
 2.51733953e+03
 2.51930041e+03
 2.51794142e+03
 2.51533809e+03
 2.51397826e+03
 2.51333106e+03
 2.51327413e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 1.59143164e+277
 2.14822076e+217
 2.28691704e+254
 Inf
 Inf
 2.31914928e+254
 Inf
 6.06634923e+221
 1.28377641e+214
 2.05993565e+181
 4.97804159e+147
 2.84762525e+151
 1.73172143e+165
 2.66657559e+230
 9.70419019e+278
 1.03879975e+261
 2.07859227e+190
 8.10305864e+156
 9.51715842e+159
 3.27307137e+152
 2.10408349e+182
 1.08553644e+190
 1.39650645e+167
 1.72339132e+158
 1.89680450e+144
 7.41921192e+168
 4.21155370e+225
 Inf
 Inf
 Inf
 1.06935596e+282
 2.51339178e+03
 2.51340368e+03
 7.43284619e+224
 1.82513534e+270
 2.90042471e+224
 1.19683532e+232
 Inf
 Inf
 Inf
 5.53549998e+306
 1.64242501e+229
 Inf
 Inf
 Inf
 Inf
 2.16602734e+300
 3.00502955e+267
 7.75796474e+290
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.15312949e+274
 2.79523355e+235
 2.60736341e+226
 6.60978554e+181
 3.42695435e+222
 Inf
 2.95969349e+307
 1.80167733e+231
 2.70210094e+230
 1.75960551e+216
 6.72754413e+265
 Inf
 1.96590155e+305
 7.32226324e+292
 Inf
 Inf
 9.06339484e+249
 1.15829043e+181
 7.21386903e+253
 Inf
 Inf
 Inf
 2.51327448e+03
 2.51327424e+03
 Inf
 2.51328421e+03
 2.51331486e+03
 2.51328675e+03
 2.51330981e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.24622714e+277
 3.48998107e+261
 Inf
 Inf
 2.51329032e+03
 Inf
 Inf
 2.51327412e+03
 2.51328481e+03
 2.51328077e+03
 Inf
 2.51330759e+03
 2.51327968e+03
 Inf
 2.51327768e+03
 2.51330981e+03
 2.51330579e+03
 Inf
 2.60838501e+228
 2.29817707e+255
 Inf
 Inf
 Inf
 Inf
 Inf
 2.01781560e+288
 7.24338872e+157
 1.87086712e+123
 8.86278470e+271
 2.51327527e+03
 2.51331772e+03
 2.51329109e+03
 2.51327722e+03
 2.51327733e+03
 2.51330337e+03
 2.51340294e+03
 2.51329787e+03
 2.51328884e+03
 2.51338177e+03
 2.51327427e+03
 Inf
 Inf
 2.51327701e+03
 2.51327420e+03
 2.51327432e+03
 2.51332067e+03
 2.51334407e+03
 2.51333790e+03
 2.51333941e+03
 2.51327495e+03
 2.51331133e+03
 2.51340581e+03
 2.51328178e+03
 2.51328267e+03
 2.51327690e+03
 2.51327415e+03
 2.51329849e+03
 2.51331648e+03
 Inf
 Inf
 2.99438647e+249
 3.41055151e+219
 8.10386144e+238
 Inf
 Inf
 Inf
 Inf
 Inf
 5.06648814e+217
 Inf
 Inf
 1.40630137e+303
 Inf
 1.97013285e+194
 4.88468936e+245
 1.57741015e+277
 3.70557675e+247
 8.52300999e+258
 Inf
 Inf
 Inf
 Inf
 Inf
 1.39333187e+269
 Inf
 Inf
 8.57723136e+266
 9.22346194e+271
 Inf
 Inf
 Inf
 Inf
 Inf
 1.31184554e+273
 1.59367302e+292
 5.41969586e+301
 1.29570401e+273
 Inf
 2.54068076e+221
 2.33763306e+177
 7.38482646e+194
 4.51264826e+287
 1.07202885e+268
 8.42739809e+266
 Inf
 Inf
 2.51328652e+03
 Inf
 1.08532584e+287
 4.77419128e+204
 8.52893616e+242
 Inf
 Inf
 Inf
 5.67012559e+233
 3.40389502e+219
 9.09918295e+199
 2.75018975e+168
 5.77408943e+171
 5.72053151e+144
 4.83105717e+133
 1.90930194e+174
 3.19558848e+166
 1.13131799e+218
 Inf
 Inf
 1.62969748e+264
 6.23088927e+218
 7.22822537e+254
 6.95853098e+230
 1.60424232e+164
 5.06104722e+127
 2.73283730e+128
 6.34810523e+131
 1.58993631e+124
 9.06192463e+143
 3.62568916e+161
 2.97793216e+141
 8.97327882e+209
 Inf
 Inf
 7.47663942e+170
 1.03220833e+104
 1.63206305e+139
 6.67501575e+197
 6.02472220e+138
 1.51832246e+136
 6.47733785e+139
 3.73988612e+119
 5.42809177e+132
 4.00080920e+132
 8.92114037e+111
 2.28210225e+103
 2.78399733e+121
 1.18303976e+145
 1.01526919e+133
 2.08254589e+141
 5.26255607e+145
 3.34839751e+112
 2.84008593e+100
 3.83469081e+104
 6.99254642e+103
 4.51222750e+92
 9.41286558e+81
 6.47522338e+87
 1.63402141e+98
 5.28755794e+81
 3.06226537e+75
 1.06808065e+94
 2.51927865e+131
 8.26193473e+116
 1.00351578e+105
 1.17544939e+145
 1.56921544e+148
 1.36075649e+107
 1.55679237e+111
 2.22802150e+126
 2.48780427e+145
 4.22082740e+141
 1.39871946e+131
 2.08148098e+141
 6.45950723e+122
 2.90319897e+136
 2.26515060e+173
 2.40117561e+163
 2.94309855e+122
 2.99337154e+135
 1.25756607e+214
 2.58725993e+131
 4.53538614e+107
 3.58103849e+181
 7.06133759e+192
 7.31585045e+142
 1.82363830e+140
 3.93428666e+126
 1.98084038e+113
 4.22073859e+151
 1.09409123e+196
 3.90251831e+173
 Inf
 Inf
 2.55410814e+142
 1.01465990e+133
 2.90850650e+119
 2.29000492e+96
 1.77675645e+105
 2.16854910e+85
 2.68381561e+82
 6.29583238e+109
 2.73126735e+94
 2.78188099e+85
 1.15083003e+97
 2.37129968e+100
 1.48404822e+104
 1.29501947e+144
 1.42969401e+156
 2.16713161e+117
 2.07545844e+124
 2.15654390e+132
 2.43327213e+125
 2.17153049e+135
 9.45256291e+135
 1.00010399e+168
 7.34825263e+235
 2.09090617e+179
 1.28026025e+151
 9.18629355e+160
 3.87744301e+173
 1.28383241e+130
 2.47599995e+107
 2.41502090e+125
 3.99626274e+118
 8.47317247e+103
 1.98793303e+101
 2.49141051e+116
 6.33645420e+151
 1.58456951e+164
 1.00749042e+168
 6.10120324e+155
 1.19441224e+128
 6.01211092e+120
 4.37532333e+143
 3.44195483e+146
 1.82518277e+140
 4.29282802e+210
 4.18518259e+209
 5.93218006e+153
 3.04679777e+138
 2.75969970e+93
 3.18371763e+91
 1.88137572e+103
 2.45350557e+79
 2.45722427e+80
 8.68030357e+85
 2.86777058e+73
 2.99933281e+76
 1.53231873e+91
 3.33646762e+92
 8.17138372e+92
 1.97999143e+101
 6.92827930e+94
 2.40953682e+90
 1.51102904e+106
 8.88089834e+91
 1.11822871e+89
 7.51736857e+130
 6.46216033e+108
 3.71518738e+93
 5.77212392e+103
 9.14191565e+117
 2.52341983e+164
 2.33357677e+139
 8.50997751e+105
 1.71771991e+142
 2.38457943e+163
 4.93274732e+101
 9.47490938e+94
 4.97477483e+128
 1.71808229e+150
 7.67380629e+130
 6.89164763e+126
 6.30288605e+143
 6.61139247e+133
 2.13008082e+143
 6.38192571e+180
 6.80054709e+128
 1.58874421e+124
 9.68900460e+125
 7.03152277e+129
 2.70846911e+168
 1.18775827e+203
 4.29979379e+138
 3.33326863e+103
 3.10392221e+118
 8.40941395e+101
 6.80635137e+104
 6.06960751e+113
 1.46519793e+86
 4.83705057e+82
 5.25869964e+81
 7.64423613e+85
 1.98084816e+100
 1.80748078e+109
 2.99067199e+114
 6.09848187e+92
 1.46465028e+94
 4.57990023e+111
 1.50192665e+115
 2.38343372e+114
 2.31694900e+134
 2.45043703e+118
 6.64587805e+91
 5.68097921e+105
 1.08070009e+149
 2.25000616e+126
 4.72626814e+105
 1.00649996e+113
 5.00097428e+127
 1.28410860e+188
 3.37827629e+219
 6.91442616e+182
 9.40825127e+162
 2.49165851e+142
 1.24037883e+116
 9.73974140e+108
 1.19914759e+129
 1.51455304e+136
 1.17168540e+132
 3.80791733e+163
 3.18885906e+166
 1.33081267e+177
 8.52020178e+166
 Inf
 Inf
 6.02128031e+153
 1.89451363e+133
 1.56532903e+147
 5.38902724e+198
 2.33474080e+130
 2.69751934e+96
 1.36203884e+97
 6.04994439e+115
 5.65373089e+150
 9.12489730e+143
 4.64475521e+111
 3.75699033e+127
 4.22063828e+125
 7.35854805e+79
 2.38132200e+82
 1.15989777e+145
 7.81305825e+149
 1.16193947e+150
 7.02952628e+177
 3.66959052e+140
 3.77864704e+128
 9.70029077e+125
 8.60800983e+131
 4.52131538e+165
 1.57595358e+148
 1.19272387e+128
 5.24001366e+149
 1.95095148e+166
 4.45443737e+184
 6.42104946e+226
 5.27811474e+156
 3.01795265e+135
 9.09172552e+143
 1.30057250e+121
 4.66907777e+104
 5.30984057e+110
 2.93005948e+157
 9.96631319e+227
 8.00055253e+172
 7.70318632e+130
 2.35254368e+146
 1.99625794e+187
 6.38221287e+228
 1.17063471e+262
 1.03823797e+212
 1.56597201e+201
 1.42036561e+191
 8.18162728e+184
 7.08236744e+177
 1.07979792e+147
 1.08630687e+137
 4.39638920e+143
 6.33102084e+143
 1.30053345e+121
 1.28353830e+140
 3.54591748e+149
 1.72109459e+130
 2.44810457e+118
 3.47212125e+108
 3.18906824e+105
 2.94177344e+126
 7.99031271e+156
 1.58145999e+159
 1.95530120e+166
 3.75702658e+119
 4.97995418e+99
 2.11585920e+127
 1.13153630e+181
 1.47416501e+176
 Inf
 2.51332871e+03
 Inf
 Inf
 2.51335052e+03
 2.51327424e+03
 Inf
 2.51330440e+03
 Inf
 2.51327792e+03
 2.51339521e+03
 2.51331366e+03
 2.51327756e+03
 Inf
 Inf
 2.51327527e+03
 2.51328401e+03
 2.51336973e+03
 2.51354038e+03
 2.51342293e+03
 2.51331772e+03
 2.51335725e+03
 2.51331171e+03
 2.51332871e+03
 2.51334888e+03
 2.51330981e+03
 2.51355917e+03
 2.51345435e+03
 2.51327869e+03
 2.51327412e+03
 6.54193107e+143
 1.61866667e+149
 Inf
 Inf
 Inf
 Inf
 Inf
 1.36115637e+285
 Inf
 Inf
 2.51328982e+03
 2.51331366e+03
 Inf
 Inf
 Inf
 2.51333541e+03
 2.51337662e+03
 2.51337728e+03
 2.51347518e+03
 2.51328045e+03
 Inf
 2.51327983e+03
 2.51335611e+03
 2.51332871e+03
 2.51331288e+03
 Inf
 1.31066257e+214
 3.68222800e+192
 4.95305754e+175
 9.69740611e+174
 1.11466023e+155
 1.69643674e+155
 Inf
 2.51329057e+03
 3.07962041e+238
 1.47018444e+162
 1.42028347e+222
 Inf
 6.32881435e+277
 5.91716861e+160
 3.73001489e+167
 3.96990111e+276
 1.10149702e+248
 4.32515024e+151
 2.17079088e+152
 3.64081916e+179
 1.16842716e+150
 3.74725076e+119
 1.23383591e+116
 3.09720783e+130
 1.98375184e+116
 2.82588373e+108
 4.70400580e+105
 4.16041354e+130
 2.16462717e+138
 4.00826443e+118
 1.00020825e+121
 3.75971702e+128
 6.88766065e+126
 3.10729984e+130
 3.05480497e+143
 3.71055419e+187
 9.71916226e+248
 3.02110184e+242
 7.57280243e+256
 7.31360897e+253
 6.49272943e+226
 1.28468810e+214
 1.82148842e+270
 5.71859977e+174
 4.45618299e+199
 Inf
 2.47062618e+243
 2.80736769e+202
 4.65412200e+211
 1.06026169e+268
 3.84598732e+178
 1.72688457e+158
 Inf
 Inf
 7.19560609e+274
 2.38614923e+266
 2.61696570e+226
 4.13832144e+229
 1.06395549e+242
 3.09221930e+260
 4.73909317e+172
 9.16196040e+143
 4.13094856e+246
 1.04084816e+276
 8.36792851e+222
 Inf
 Inf
 1.42227954e+303
 1.05856047e+287
 2.08309844e+190
 3.97017876e+144
 1.40794837e+125
 2.83727146e+127
 5.67683255e+150
 3.53609450e+133
 2.29253614e+147
 4.10476032e+164
 1.95754190e+166
 9.19194957e+139
 2.58074446e+133
 7.92672207e+119
 5.42863929e+132
 6.37128211e+151
 2.57241483e+150
 3.78573942e+182
 3.65469714e+161
 2.54131349e+176
 1.71469980e+225
 3.83703701e+182
 4.36377854e+170
 7.28273302e+170
 6.42572723e+180
 4.09370203e+207
 1.71364410e+240
 3.27351914e+248
 1.03488736e+261
 1.04640159e+235
 3.32782230e+174
 3.88821402e+173
 7.46865808e+168
 3.89134090e+153
 2.96994825e+157
 4.16438898e+158
 1.01288428e+159
 1.48832611e+185
 6.69248008e+178
 5.21753897e+166
 1.58464648e+159
 7.67770625e+145
 8.23037659e+144
 1.06899873e+165
 7.40181402e+165
 7.13156375e+123
 2.15281455e+117
 2.51351049e+03
 2.51450086e+03
 Inf
 Inf
 6.26992878e+218
 5.18214121e+203
 6.97372081e+274
 8.97126746e+249
 1.69316279e+245
 1.93401103e+209
 3.44001023e+148
 3.63037123e+145
 4.15734905e+135
 6.89959530e+126
 4.88995282e+152
 3.28373111e+174
 7.45394281e+148
 1.72634675e+145
 7.36792394e+165
 9.21561573e+160
 8.40763219e+138
 6.45623443e+122
 2.13488178e+178
 2.04830191e+181
 1.02151491e+133
 Inf
 2.51336912e+03
 2.51351438e+03
 2.51334512e+03
 2.51329268e+03
 2.51328587e+03
 2.51331171e+03
 2.51369691e+03
 2.51366144e+03
 2.51328587e+03
 2.51329057e+03
 2.51355284e+03
 2.51342293e+03
 2.51342834e+03
 2.51333443e+03
 2.51329214e+03
 2.51361472e+03
 2.51407480e+03
 2.51356558e+03
 2.51417375e+03
 2.51520327e+03
 2.51371521e+03
 2.51335956e+03
 2.51334726e+03
 2.51350952e+03
 2.51353326e+03
 2.51333840e+03
 2.51338439e+03
 2.51358080e+03
 2.51348511e+03
 2.51338374e+03
 2.51352223e+03
 2.51338439e+03
 2.51327484e+03
 2.51341988e+03
 2.51342915e+03
 2.51331018e+03
 2.51348057e+03
 2.51358301e+03
 2.51354346e+03
 2.51353224e+03
 2.51348602e+03
 2.51328077e+03
 Inf
 Inf
 Inf
 Inf
 2.51327507e+03
 Inf
 Inf
 Inf
 Inf
 1.30555859e+273
 2.51328652e+03
 2.51331566e+03
 Inf
 1.21144533e+224
 4.09781580e+183
 2.03683122e+180
 6.15185358e+218
 1.71614689e+290
 3.89246824e+150
 8.10187799e+250
 Inf
 2.51329350e+03
 2.51339383e+03
 Inf
 Inf
 1.22310029e+232
 Inf
 2.51327650e+03
 2.51328342e+03
 Inf
 Inf
 2.51327563e+03
 2.51330580e+03
 2.51341611e+03
 2.51334146e+03
 2.51330103e+03
 Inf
 Inf
 Inf
 Inf
 2.51331648e+03
 2.51328481e+03
 1.80502132e+290
 3.44203640e+295
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329007e+03
 2.51329636e+03
 Inf
 Inf
 2.51328342e+03
 2.51330202e+03
 2.51329757e+03
 2.51328286e+03
 Inf
 9.84791582e+210
 1.62088719e+189
 Inf
 Inf
 9.43901189e+259
 Inf
 Inf
 1.52073836e+160
 3.72764752e+187
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327484e+03
 2.51329519e+03
 2.51328143e+03
 2.51327621e+03
 2.51334094e+03
 2.51345183e+03
 2.51330303e+03
 2.51327578e+03
 Inf
 Inf
 2.51327968e+03
 2.51329636e+03
 Inf
 Inf
 2.51329849e+03
 2.51331486e+03
 Inf
 Inf
 2.51328765e+03
 Inf
 Inf
 2.51329818e+03
 2.51332918e+03
 2.51327690e+03
 2.51331982e+03
 2.51336488e+03
 Inf
 7.92900454e+296
 Inf
 3.31617069e+248
 3.71759516e+304
 1.73740265e+290
 1.25338712e+247
 1.05646170e+282
 4.45789878e+205
 Inf
 Inf
 1.61148678e+201
 6.77362270e+197
 1.15081375e+180
 6.93261358e+274
 Inf
 1.06874844e+230
 2.22753649e+156
 8.48656750e+175
 8.56580276e+150
 3.63230878e+145
 4.03775731e+183
 2.19669329e+135
 3.52398606e+133
 2.25124210e+122
 2.93136968e+132
 4.03845531e+136
 4.50987685e+89
 6.53787314e+110
 6.49463762e+173
 4.51979555e+168
 4.88319454e+217
 6.91282861e+182
 9.28003966e+185
 Inf
 Inf
 1.45687172e+222
 1.79750801e+298
 1.63344137e+296
 5.96140006e+162
 6.09506695e+155
 2.09936130e+233
 Inf
 Inf
 1.96212351e+305
 5.73750791e+285
 Inf
 Inf
 Inf
 4.97910443e+245
 Inf
 4.64987448e+287
 1.57646524e+308
 Inf
 3.90324161e+163
 6.66402861e+178
 Inf
 Inf
 2.51327484e+03
 2.51329462e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 3.33696476e+152
 6.36552028e+226
 Inf
 1.01319637e+194
 6.65430862e+270
 Inf
 2.51334302e+03
 2.51404309e+03
 2.51431472e+03
 2.51397658e+03
 2.51348511e+03
 2.51361937e+03
 2.51357750e+03
 2.51345860e+03
 2.51350377e+03
 2.51343786e+03
 2.51333992e+03
 Inf
 2.79628494e+185
 3.67353461e+140
 1.29967880e+121
 1.68030497e+155
 2.15696780e+178
 2.11275583e+233
 1.24485164e+247
 2.70786847e+230
 Inf
 2.51327983e+03
 Inf
 1.31290236e+214
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.96484079e+305
 Inf
 Inf
 3.98857841e+289
 1.92840236e+192
 4.20680572e+206
 Inf
 Inf
 6.96256401e+265
 2.10862091e+205
 Inf
 Inf
 Inf
 7.09892499e+274
 Inf
 Inf
 Inf
 1.37548161e+202
 1.23812856e+247
 Inf
 Inf
 2.51328029e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330269e+03
 2.51334407e+03
 2.51327745e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327897e+03
 Inf
 Inf
 7.90378148e+290
 1.04097002e+212
 2.17923548e+178
 1.37155191e+303
 8.63803906e+242
 4.01940778e+155
 4.91727840e+175
 6.08845384e+159
 1.32881558e+177
 5.33560315e+236
 Inf
 Inf
 3.38572479e+293
 1.07797140e+301
 2.42526880e+252
 Inf
 Inf
 Inf
 2.49043782e+286
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328381e+03
 2.51327830e+03
 Inf
 Inf
 Inf
 Inf
 2.51330337e+03
 2.51115104e+03
 Inf
 Inf
 2.51327448e+03
 2.51327415e+03
 Inf
 Inf
 2.51329406e+03
 Inf
 Inf
 2.51330615e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327745e+03
 2.51328045e+03
 Inf
 Inf
 Inf
 2.35780941e+255
 4.21306820e+135
 5.59193292e+169
 6.73277829e+197
 5.75769433e+150
 4.59858108e+211
 2.89020809e+214
 1.07868946e+148
 1.52149174e+136
 2.53952245e+164
 9.49819551e+210
 Inf
 2.75717415e+302
 2.62568147e+226
 Inf
 Inf
 1.36314962e+241
 Inf
 2.51327490e+03
 Inf
 3.00321315e+249
 Inf
 Inf
 Inf
 2.51327417e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.83060300e+241
 1.25208734e+183
 2.51327422e+03
 2.51352922e+03
 2.51327474e+03
 Inf
 Inf
 Inf
 2.51327939e+03
 2.51328161e+03
 2.51327422e+03
 2.51331855e+03
 2.51329007e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.17022998e+208
 2.69826108e+250
 7.75175705e+296
 3.37219780e+293
 2.51334406e+03
 2.51373931e+03
 2.51344932e+03
 2.51367019e+03
 2.51392588e+03
 2.51369047e+03
 2.51363594e+03
 2.51377805e+03
 2.51358080e+03
 2.51337853e+03
 2.51363833e+03
 2.51367777e+03
 2.51330906e+03
 Inf
 Inf
 2.51328481e+03
 2.51335956e+03
 2.51341761e+03
 2.51335441e+03
 2.51336190e+03
 2.51339870e+03
 2.51332641e+03
 2.51331648e+03
 2.51345351e+03
 2.51350187e+03
 2.51337096e+03
 2.51331566e+03
 2.51330007e+03
 2.51327495e+03
 2.51331018e+03
 2.51344355e+03
 2.51336789e+03
 2.51340654e+03
 2.51348786e+03
 2.51337345e+03
 2.51328523e+03
 2.51338705e+03
 2.51353731e+03
 2.51332328e+03
 2.51327911e+03
 2.51336608e+03
 2.51339800e+03
 2.51339042e+03
 2.51344519e+03
 2.51330136e+03
 2.51329607e+03
 2.51333590e+03
 Inf
 2.51334459e+03
 2.51374202e+03
 2.51352921e+03
 2.51331566e+03
 2.51330169e+03
 2.51331056e+03
 2.51329757e+03
 2.51328765e+03
 Inf
 2.51327555e+03
 2.51336488e+03
 2.51328932e+03
 Inf
 2.51336190e+03
 2.51339384e+03
 2.51328401e+03
 2.51330136e+03
 2.51331249e+03
 2.51329295e+03
 2.51331526e+03
 2.51327968e+03
 Inf
 Inf
 2.51334043e+03
 2.51330405e+03
 2.51330269e+03
 2.51331939e+03
 2.51327587e+03
 2.51329975e+03
 2.51329462e+03
 2.51332110e+03
 2.51328932e+03
 Inf
 2.51327412e+03
 2.51328675e+03
 2.51327968e+03
 2.51330269e+03
 2.51329187e+03
 2.51327983e+03
 Inf
 Inf
 Inf
 2.51328304e+03
 Inf
 Inf
 2.51330169e+03
 2.51331689e+03
 2.51329577e+03
 Inf
 Inf
 2.51329975e+03
 2.51330981e+03
 Inf
 2.51334997e+03
 2.51359867e+03
 2.51329849e+03
 2.51329032e+03
 2.51342757e+03
 2.51348786e+03
 2.51397992e+03
 2.51393384e+03
 2.51356881e+03
 2.51378370e+03
 2.51408193e+03
 2.51404476e+03
 2.51373930e+03
 2.51377802e+03
 2.51400691e+03
 2.51378229e+03
 2.51384806e+03
 2.51396002e+03
 2.51333492e+03
 Inf
 2.51327469e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.07675698e+268
 Inf
 Inf
 3.01337383e+249
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.92234897e+268
 2.52015251e+142
 3.54801225e+149
 6.69722328e+197
 Inf
 2.51383163e+03
 2.51375565e+03
 2.51330440e+03
 2.51368535e+03
 2.51415874e+03
 2.51368919e+03
 2.51392908e+03
 2.51439739e+03
 2.51410169e+03
 2.51389417e+03
 2.51397657e+03
 2.51396821e+03
 2.51367648e+03
 2.51381248e+03
 2.51373254e+03
 2.51367145e+03
 2.51400690e+03
 2.51382865e+03
 2.51388479e+03
 2.51377663e+03
 2.51348878e+03
 2.51357313e+03
 2.51396002e+03
 2.51417378e+03
 2.51379369e+03
 2.51361939e+03
 2.51365164e+03
 2.51330544e+03
 2.51340726e+03
 2.51423317e+03
 2.51360665e+03
 2.51328652e+03
 2.51340509e+03
 2.51343150e+03
 2.51329911e+03
 2.51335840e+03
 2.51328652e+03
 Inf
 2.51349809e+03
 2.51355285e+03
 2.51344519e+03
 2.51366895e+03
 2.51361240e+03
 2.51335498e+03
 2.51329378e+03
 2.51331982e+03
 2.51329880e+03
 2.51335554e+03
 2.51329726e+03
 Inf
 2.51200186e+203
 1.14032756e+218
 Inf
 3.20121384e+284
 1.62337185e+227
 3.97137282e+262
 2.80287756e+172
 7.61764270e+215
 Inf
 7.69082067e+283
 4.62500444e+188
 1.55988045e+201
 3.67582913e+179
 8.24854294e+222
 9.69109007e+278
 1.10177246e+248
 6.61737420e+201
 1.24217090e+178
 5.66418289e+213
 6.25430872e+124
 1.00360946e+159
 Inf
 3.55740887e+261
 6.42702308e+143
 1.69190875e+155
 6.52915750e+181
 2.01304396e+187
 5.22488676e+166
 1.20341883e+166
 2.86073474e+175
 2.28141131e+167
 2.29490378e+253
 Inf
 1.11375463e+248
 2.49859887e+203
 1.72441303e+225
 8.63386587e+188
 1.35197260e+198
 4.58134378e+188
 1.05159493e+221
 Inf
 Inf
 2.51412172e+03
 2.51614097e+03
 2.51628170e+03
 2.51652682e+03
 2.51434326e+03
 2.51344601e+03
 2.51334250e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327495e+03
 2.51329636e+03
 2.51329350e+03
 2.51327540e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.27830301e+209
 3.76046285e+167
 Inf
 Inf
 Inf
 1.06040110e+287
 Inf
 Inf
 Inf
 Inf
 2.51327540e+03
 2.51331094e+03
 2.51328544e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330236e+03
 Inf
 Inf
 Inf
 Inf
 6.41475092e+280
 Inf
 Inf
 Inf
 2.51327448e+03
 2.51327414e+03
 2.51327415e+03
 2.51327805e+03
 2.51327578e+03
 2.51327555e+03
 Inf
 Inf
 Inf
 2.51327413e+03
 2.51334095e+03
 2.51327650e+03
 Inf
 2.51328304e+03
 2.51342217e+03
 2.51337408e+03
 2.51339042e+03
 2.51381395e+03
 2.51426064e+03
 2.51406060e+03
 2.51425667e+03
 2.51440162e+03
 2.51423706e+03
 2.51443563e+03
 2.51448770e+03
 2.51410532e+03
 2.51402923e+03
 2.51383609e+03
 2.51376126e+03
 2.51395181e+03
 2.51422929e+03
 2.51443995e+03
 2.51460654e+03
 2.51478668e+03
 2.51452738e+03
 2.51448993e+03
 2.51464814e+03
 2.51447452e+03
 2.51451622e+03
 2.51468098e+03
 2.51395509e+03
 2.51389735e+03
 2.51413458e+03
 2.51381395e+03
 2.51392265e+03
 2.51441856e+03
 2.51432273e+03
 2.51376542e+03
 2.51420609e+03
 2.51479403e+03
 2.51436806e+03
 2.51432495e+03
 2.51425078e+03
 2.51400521e+03
 2.51395347e+03
 2.51377946e+03
 2.51381540e+03
 2.51419271e+03
 2.51444641e+03
 2.51429849e+03
 2.51342217e+03
 2.51332825e+03
 2.51336973e+03
 2.51333790e+03
 2.51354865e+03
 2.51444639e+03
 2.51506502e+03
 2.51427250e+03
 2.51437424e+03
 2.51462957e+03
 2.51386477e+03
 2.51372719e+03
 2.51405534e+03
 2.51377804e+03
 2.51332965e+03
 5.75483539e+306
 2.31290707e+212
 2.69426158e+230
 7.24822705e+294
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.15028716e+260
 2.51327680e+03
 2.51349434e+03
 2.51329666e+03
 2.51328077e+03
 2.51329032e+03
 Inf
 Inf
 4.41390298e+282
 Inf
 Inf
 2.51328061e+03
 2.51327805e+03
 2.51327869e+03
 2.51327414e+03
 2.51327983e+03
 Inf
 Inf
 Inf
 2.51328178e+03
 2.51327768e+03
 Inf
 Inf
 Inf
 2.51328045e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331210e+03
 2.51337789e+03
 2.51327733e+03
 Inf
 Inf
 Inf
 2.51328441e+03
 2.51328143e+03
 2.51327869e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327432e+03
 2.51340509e+03
 2.51332416e+03
 2.51327414e+03
 2.51327669e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327650e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.11460507e+262
 2.44448141e+286
 2.51327939e+03
 2.51332506e+03
 2.51327422e+03
 2.51327495e+03
 2.51329378e+03
 2.51332461e+03
 2.51331648e+03
 Inf
 Inf
 2.51329241e+03
 2.51330981e+03
 2.51327756e+03
 2.51327897e+03
 2.51328908e+03
 2.51329241e+03
 2.51327925e+03
 Inf
 Inf
 Inf
 2.51329726e+03
 2.51330440e+03
 2.51327429e+03
 Inf
 2.51330687e+03
 2.51337221e+03
 2.51328213e+03
 2.51329757e+03
 2.51334146e+03
 Inf
 Inf
 2.51327514e+03
 2.51328421e+03
 2.51327650e+03
 Inf