Inf
 Inf
 Inf
 Inf
 2.51327954e+03
 2.51328742e+03
 Inf
 Inf
 2.51327745e+03
 2.51330440e+03
 2.51327680e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327570e+03
 2.51328812e+03
 2.51327452e+03
 2.51327939e+03
 2.51327883e+03
 Inf
 Inf
 2.51327474e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329491e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327422e+03
 2.51327460e+03
 2.51336428e+03
 2.51330869e+03
 Inf
 2.51346899e+03
 2.51355180e+03
 2.51329975e+03
 Inf
 1.58923944e+294
 Inf
 Inf
 5.07844168e+269
 1.46604502e+237
 2.95854814e+238
 6.18842179e+277
 6.23918115e+218
 Inf
 Inf
 Inf
 2.51327856e+03
 2.51334512e+03
 2.51327465e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51338772e+03
 2.51328544e+03
 Inf
 2.51340509e+03
 2.51329032e+03
 Inf
 Inf
 2.51337725e+03
 2.51332372e+03
 2.51328884e+03
 2.51356023e+03
 2.51339730e+03
 2.51329607e+03
 2.51329974e+03
 2.51329548e+03
 2.51340366e+03
 2.51327745e+03
 Inf
 2.51327474e+03
 Inf
 Inf
 Inf
 Inf
 2.51331056e+03
 2.51330474e+03
 Inf
 Inf
 Inf
 Inf
 2.51327427e+03
 Inf
 7.46100289e+292
 Inf
 Inf
 7.44035682e+303
 Inf
 Inf
 2.51328077e+03
 2.51327420e+03
 Inf
 Inf
 Inf
 3.96424818e+279
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51340581e+03
 2.51406947e+03
 2.51374201e+03
 2.51375147e+03
 2.51424293e+03
 2.51436398e+03
 2.51366895e+03
 2.51349998e+03
 2.51422733e+03
 2.51443785e+03
 2.51396002e+03
 2.51458137e+03
 2.51504643e+03
 2.51457003e+03
 2.51442926e+03
 2.51443975e+03
 2.51469990e+03
 2.51472160e+03
 2.51345520e+03
 2.51327424e+03
 Inf
 Inf
 Inf
 2.51334618e+03
 2.51336428e+03
 Inf
 Inf
 Inf
 2.51327416e+03
 Inf
 Inf
 2.51334146e+03
 2.51330474e+03
 Inf
 Inf
 2.51334672e+03
 2.51332596e+03
 Inf
 Inf
 2.51328178e+03
 2.51338177e+03
 2.51336668e+03
 2.51329032e+03
 2.51331813e+03
 2.51330169e+03
 2.51328093e+03
 2.51329577e+03
 2.51335218e+03
 2.51329757e+03
 2.51327417e+03
 2.51327420e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329406e+03
 2.51330071e+03
 2.51327768e+03
 2.51327690e+03
 2.51338572e+03
 2.51360665e+03
 2.51353022e+03
 2.51342217e+03
 2.51337789e+03
 2.51334095e+03
 2.51334565e+03
 2.51343070e+03
 2.51336973e+03
 2.51330269e+03
 2.51340726e+03
 2.51343308e+03
 2.51348238e+03
 2.51344601e+03
 2.51337661e+03
 2.51347966e+03
 2.51331366e+03
 Inf
 2.51336309e+03
 2.51350568e+03
 2.51328608e+03
 Inf
 2.51327621e+03
 2.51425078e+03
 2.51432515e+03
 2.51344601e+03
 2.51337789e+03
 2.51335498e+03
 2.51327843e+03
 2.51327690e+03
 2.51352621e+03
 2.51345774e+03
 2.51334833e+03
 2.51328143e+03
 2.51220196e+03
 2.51339452e+03
 2.51327456e+03
 Inf
 2.51358967e+03
 2.51393394e+03
 2.51334354e+03
 2.51328461e+03
 2.51371918e+03
 2.51367769e+03
 2.51330723e+03
 2.51333739e+03
 2.51353629e+03
 2.51340799e+03
 Inf
 Inf
 2.51328381e+03
 2.51327432e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328362e+03
 2.51329350e+03
 2.51331982e+03
 2.51328014e+03
 2.51345183e+03
 2.51360665e+03
 2.51328014e+03
 2.51329187e+03
 2.51362643e+03
 2.51330440e+03
 2.51328267e+03
 2.51345267e+03
 2.51358856e+03
 2.51335498e+03
 Inf
 2.51332024e+03
 2.51334302e+03
 2.51328982e+03
 2.51327578e+03
 2.51328836e+03
 2.51333992e+03
 2.51330580e+03
 2.51328884e+03
 2.51348602e+03
 2.51374748e+03
 2.50506315e+03
 2.51377523e+03
 2.51366895e+03
 2.51340366e+03
 Inf
 Inf
 2.51336608e+03
 2.51375159e+03
 2.51347518e+03
 2.51327768e+03
 2.51329007e+03
 2.51330337e+03
 Inf
 2.51327578e+03
 2.51340366e+03
 2.51338046e+03
 2.51328126e+03
 Inf
 2.51332024e+03
 2.51338839e+03
 2.51327514e+03
 Inf
 2.51330440e+03
 2.51338047e+03
 2.51332596e+03
 2.51328267e+03
 2.51327968e+03
 2.51332240e+03
 Inf
 Inf
 2.51329491e+03
 Inf
 Inf
 2.51338772e+03
 2.51329726e+03
 2.51327416e+03
 Inf
 Inf
 2.51328836e+03
 2.51332417e+03
 2.51335273e+03
 2.51335611e+03
 Inf
 Inf
 Inf
 2.51328720e+03
 2.51329757e+03
 2.51327548e+03
 Inf
 2.51335668e+03
 2.51349248e+03
 2.51329268e+03
 2.51327650e+03
 2.51330981e+03
 2.51347518e+03
 2.51336729e+03
 Inf
 2.51327417e+03
 2.51329696e+03
 2.51331210e+03
 2.51328160e+03
 2.51334833e+03
 2.51328126e+03
 2.51327745e+03
 2.51348786e+03
 2.51329548e+03
 2.51327805e+03
 2.51334726e+03
 2.51331689e+03
 2.51336487e+03
 2.51344029e+03
 2.51328213e+03
 2.51328061e+03
 2.51347966e+03
 2.51435564e+03
 2.51404132e+03
 2.51339042e+03
 2.51342991e+03
 2.51329975e+03
 2.51329135e+03
 2.51329434e+03
 Inf
 Inf
 Inf
 2.51327711e+03
 2.51328884e+03
 Inf
 Inf
 2.51328836e+03
 Inf
 Inf
 3.87979858e+268
 Inf
 2.51344029e+03
 2.51327968e+03
 Inf
 2.51338772e+03
 2.51336547e+03
 2.51330795e+03
 2.51332461e+03
 2.51356881e+03
 2.51384809e+03
 2.51337534e+03
 2.51342293e+03
 2.51343626e+03
 2.51329577e+03
 Inf
 Inf
 2.51336548e+03
 2.51332197e+03
 2.51330039e+03
 2.51333941e+03
 2.51349434e+03
 2.51360665e+03
 2.51380089e+03
 2.51387091e+03
 2.51376264e+03
 2.51358856e+03
 2.51344191e+03
 2.51351927e+03
 2.51350855e+03
 2.51335273e+03
 2.51337096e+03
 2.51336015e+03
 Inf
 Inf
 2.51345689e+03
 2.51368028e+03
 2.51358632e+03
 2.51338308e+03
 2.51330405e+03
 2.51332067e+03
 2.51337221e+03
 2.51349248e+03
 2.51351731e+03
 2.51346117e+03
 2.51333297e+03
 2.51333252e+03
 2.51338439e+03
 2.51332417e+03
 Inf
 Inf
 Inf
 Inf
 2.51327587e+03
 2.51328323e+03
 2.51332506e+03
 2.51337221e+03
 Inf
 Inf
 2.51337725e+03
 2.51356024e+03
 2.51336309e+03
 2.51348420e+03
 2.51374474e+03
 2.51376827e+03
 2.51341611e+03
 2.51328957e+03
 2.51360094e+03
 2.51373796e+03
 2.51329519e+03
 2.51329378e+03
 2.51337982e+03
 2.51362290e+03
 2.51398160e+03
 2.51368027e+03
 2.51361357e+03
 2.51339042e+03
 2.51332641e+03
 2.51365165e+03
 2.51353833e+03
 2.51333640e+03
 2.51338112e+03
 2.51347876e+03
 2.51365778e+03
 2.51356772e+03
 2.51335218e+03
 2.51336850e+03
 2.51334565e+03
 2.51331897e+03
 2.51337853e+03
 2.51338572e+03
 2.51339591e+03
 2.51335668e+03
 2.51327711e+03
 2.51328720e+03
 2.51334302e+03
 2.51332110e+03
 2.51340726e+03
 2.51347697e+03
 2.51337345e+03
 2.51371521e+03
 2.51361124e+03
 2.51331855e+03
 2.51336014e+03
 2.51347429e+03
 2.51371918e+03
 2.51343070e+03
 2.51328110e+03
 2.51327983e+03
 2.51329135e+03
 2.51327555e+03
 Inf
 Inf
 2.51327805e+03
 Inf
 Inf
 2.51359079e+03
 2.51449425e+03
 2.51336309e+03
 Inf
 2.51333890e+03
 2.51355179e+03
 2.51338242e+03
 Inf
 2.51327856e+03
 2.51357532e+03
 2.51337283e+03
 2.51335726e+03
 2.51373524e+03
 2.51374226e+03
 2.51374064e+03
 2.51387706e+03
 2.51414755e+03
 2.51388480e+03
 2.51355600e+03
 2.51363473e+03
 2.51412355e+03
 2.51441222e+03
 2.51374610e+03
 2.51369179e+03
 2.51379944e+03
 2.51389574e+03
 2.51397659e+03
 2.51351829e+03
 2.51344437e+03
 2.51358522e+03
 2.51374202e+03
 2.51383610e+03
 2.51397326e+03
 2.51373524e+03
 2.51342913e+03
 2.51330103e+03
 2.51329911e+03
 2.51363833e+03
 2.51403094e+03
 2.51422349e+03
 2.51431065e+03
 2.51383609e+03
 2.51340438e+03
 2.51344766e+03
 2.51354761e+03
 2.51363953e+03
 2.51365411e+03
 2.51390202e+03
 2.51374201e+03
 2.51346724e+03
 2.51350186e+03
 2.51337598e+03
 2.51334618e+03
 2.51332328e+03
 2.51327520e+03
 2.51336015e+03
 2.51370471e+03
 2.51331689e+03
 Inf
 2.51330440e+03
 2.51354761e+03
 2.51337982e+03
 2.51335107e+03
 2.51362290e+03
 2.51358520e+03
 2.51355179e+03
 2.51378371e+03
 2.51382426e+03
 2.51400351e+03
 2.51416812e+03
 2.51379656e+03
 2.51354866e+03
 2.51333541e+03
 2.51346117e+03
 2.51423512e+03
 2.51425328e+03
 2.51360094e+03
 2.51346812e+03
 2.51370863e+03
 2.51368915e+03
 2.51380088e+03
 2.51351927e+03
 2.51341611e+03
 2.51368281e+03
 2.51332687e+03
 Inf
 2.51348878e+03
 2.51372986e+03
 2.51346031e+03
 2.51337853e+03
 2.51345016e+03
 2.51362879e+03
 2.51337534e+03
 2.51327417e+03
 2.51334146e+03
 2.51341761e+03
 2.51342294e+03
 2.51351049e+03
 2.51351344e+03
 2.51346724e+03
 2.51338112e+03
 2.51353833e+03
 2.51362880e+03
 2.51339730e+03
 2.51331607e+03
 2.51331527e+03
 2.51348057e+03
 2.51364436e+03
 2.51333011e+03
 2.51329268e+03
 2.51340726e+03
 Inf
 Inf
 Inf
 2.51336190e+03
 2.51355811e+03
 2.51332110e+03
 Inf
 2.51334512e+03
 2.51357970e+03
 2.51358974e+03
 2.51335273e+03
 2.51331171e+03
 2.51362172e+03
 2.51538406e+03
 2.51638860e+03
 2.51541881e+03
 2.51493955e+03
 2.51508622e+03
 2.51682375e+03
 2.51651203e+03
 2.51471896e+03
 2.51555181e+03
 2.51891566e+03
 2.51696737e+03
 2.51482358e+03
 2.51567034e+03
 2.51534085e+03
 2.51427848e+03
 2.51491137e+03
 2.51576998e+03
 2.51551885e+03
 2.51482852e+03
 2.51449425e+03
 2.51540720e+03
 2.51562163e+03
 2.51548037e+03
 2.51563971e+03
 2.51567065e+03
 2.51483845e+03
 2.51424099e+03
 2.51526165e+03
 2.51566748e+03
 2.51425865e+03
 2.51396996e+03
 2.51404306e+03
 2.51397325e+03
 2.51375987e+03
 2.51351829e+03
 2.51367145e+03
 2.51444854e+03
 2.51441601e+03
 2.51346203e+03
 2.51359640e+03
 2.51422928e+03
 2.51389729e+03
 2.51350760e+03
 2.51397658e+03
 2.51408197e+03
 2.51344519e+03
 2.51332918e+03
 2.51330832e+03
 2.51327954e+03
 Inf
 2.51327631e+03
 2.51329434e+03
 2.51329578e+03
 2.51335783e+03
 2.51332372e+03
 2.51341387e+03
 2.51369821e+03
 2.51337534e+03
 2.51340223e+03
 2.51364799e+03
 2.51336428e+03
 2.51330440e+03
 2.51346376e+03
 2.51365288e+03
 2.51336132e+03
 2.51327792e+03
 2.51334512e+03
 2.51338572e+03
 2.51342217e+03
 2.51342758e+03
 2.51328957e+03
 2.51335329e+03
 2.51359191e+03
 2.51641305e+03
 2.52213500e+03
 2.52062919e+03
 2.51855789e+03
 2.51678645e+03
 2.51486093e+03
 2.51405184e+03
 2.51383461e+03
 2.51372184e+03
 2.51348602e+03
 2.51342992e+03
 2.51374610e+03
 2.51383017e+03
 2.51355284e+03
 2.51333941e+03
 2.51329007e+03
 2.51329726e+03
 2.51336973e+03
 2.51328652e+03
 2.51329109e+03
 2.51334354e+03
 2.51330371e+03
 Inf
 Inf
 2.51328421e+03
 2.51328565e+03
 Inf
 Inf
 Inf
 8.85433649e+242
 2.61253673e+140
 1.40504297e+246
 Inf
 1.51337347e+234
 3.48503394e+291
 Inf
 Inf
 Inf
 9.32275293e+209
 2.00874307e+244
 Inf
 Inf
 Inf
 Inf
 2.51344436e+03
 2.51376265e+03
 2.51330169e+03
 Inf
 2.51342370e+03
 2.51349904e+03
 2.51344191e+03
 2.51343949e+03
 Inf
 Inf
 2.51340223e+03
 2.51364557e+03
 2.51348511e+03
 2.51346290e+03
 2.51369047e+03
 2.51393717e+03
 2.51385108e+03
 2.51368281e+03
 2.51383460e+03
 2.51384070e+03
 2.51335498e+03
 2.51327570e+03
 2.51327650e+03
 2.51327587e+03
 2.51330651e+03
 2.51327570e+03
 2.51327495e+03
 2.51332733e+03
 2.51330269e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327631e+03
 Inf
 2.51327587e+03
 Inf
 Inf
 2.51349621e+03
 2.51350004e+03
 Inf
 Inf
 2.58407232e+228
 1.28287722e+113
 1.94595321e+96
 2.01690912e+154
 3.27752758e+139
 2.37222489e+93
 2.94392073e+99
 9.68486437e+115
 3.75381162e+128
 3.60893153e+192
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.07863235e+221
 3.81412259e+268
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.36998687e+254
 1.11327951e+196
 7.28379542e+255
 Inf
 2.46909643e+257
 4.04644863e+216
 7.69278800e+290
 Inf
 Inf
 Inf
 2.51331566e+03
 Inf
 7.14375578e+243
 Inf
 6.65328436e+201
 2.78465575e+172
 Inf
 Inf
 Inf
 2.57028236e+251
 8.16434962e+232
 9.80290423e+248
 7.17057632e+303
 2.99988590e+304
 Inf
 Inf
 Inf
 2.50455069e+278
 1.38840212e+269
 7.28036653e+254
 Inf
 Inf
 7.82389757e+290
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.57875657e+252
 1.93453668e+265
 Inf
 Inf
 Inf
 7.76700128e+283
 4.17867614e+164
 2.25849081e+254
 Inf
 Inf
 Inf
 2.51327587e+03
 2.51328836e+03
 Inf
 Inf
 Inf
 2.51334354e+03
 2.51393554e+03
 2.51381978e+03
 2.51384505e+03
 2.51445717e+03
 2.51374747e+03
 2.51344355e+03
 2.51369820e+03
 2.51390045e+03
 2.51385865e+03
 2.51333346e+03
 2.51329943e+03
 2.51397658e+03
 2.51420616e+03
 2.51337221e+03
 2.51329350e+03
 2.51333106e+03
 Inf
 8.34661914e+238
 1.01315627e+228
 Inf
 Inf
 3.81576902e+297
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.19251132e+208
 4.60256728e+231
 Inf
 Inf
 Inf
 3.50717709e+222
 4.09522073e+136
 1.15815802e+150
 1.22064993e+247
 Inf
 Inf
 2.51328789e+03
 2.51328077e+03
 2.51327415e+03
 Inf
 2.51331939e+03
 2.51335898e+03
 2.51346289e+03
 2.51344191e+03
 Inf
 Inf
 2.51327438e+03
 2.51335783e+03
 2.51331406e+03
 Inf
 Inf
 2.51328213e+03
 2.51329434e+03
 Inf
 Inf
 2.51332641e+03
 2.51330509e+03
 Inf
 2.51328908e+03
 Inf
 4.12961955e+276
 Inf
 2.51330759e+03
 Inf
 Inf
 2.51333640e+03
 2.51327422e+03
 Inf
 Inf
 2.51328765e+03
 2.51327983e+03
 Inf
 2.51327490e+03
 2.51333297e+03
 2.51329032e+03
 Inf
 2.51329818e+03
 2.51334565e+03
 2.51329975e+03
 Inf
 2.51330169e+03
 2.51333249e+03
 2.51327701e+03
 2.51327429e+03
 2.51333590e+03
 2.51344601e+03
 Inf
 5.60644425e+306
 Inf
 Inf
 Inf
 2.51327570e+03
 Inf
 Inf
 1.84018840e+298
 4.06178269e+216
 6.29982290e+280
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327507e+03
 Inf
 Inf
 Inf
 Inf
 7.82273376e+290
 Inf
 2.46600439e+286
 7.30817606e+294
 Inf
 2.51327570e+03
 Inf
 Inf
 2.51328957e+03
 Inf
 Inf
 Inf
 2.51333890e+03
 2.51329350e+03
 Inf
 Inf
 2.51334672e+03
 2.51330103e+03
 Inf
 Inf
 2.51329187e+03
 Inf
 Inf
 Inf
 3.81037729e+241
 Inf
 Inf
 2.51331133e+03
 Inf
 2.07874289e+181
 1.00774043e+306
 1.94479899e+209
 8.11419261e+232
 8.00476904e+172
 2.27087666e+255
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.02731961e+217
 1.13734838e+213
 1.33874580e+241
 1.04384821e+235
 Inf
 2.83391727e+259
 8.02942460e+219
 7.69792311e+290
 Inf
 Inf
 2.51327444e+03
 Inf
 1.21678999e+232
 1.15616351e+181
 5.78777144e+171
 2.34793624e+134
 1.34600946e+303
 Inf
 4.22935268e+229
 4.84234681e+273
 4.64283278e+231
 1.19813867e+232
 2.51330071e+03
 2.71611742e+258
 3.88433722e+150
 Inf
 Inf
 Inf
 2.51330236e+03
 2.51338047e+03
 2.51327415e+03
 Inf
 7.98051155e+251
 Inf
 Inf
 1.08933066e+301
 Inf
 2.44400711e+252
 9.36649413e+185
 1.33576738e+177
 2.75180597e+235
 Inf
 1.37366077e+263
 3.69976425e+247
 Inf
 4.08141809e+276
 6.21337797e+167
 2.56970131e+153
 9.86137133e+163
 2.55706885e+164
 Inf
 2.51328029e+03
 2.51338374e+03
 Inf
 6.67728198e+139
 2.22402208e+183
 3.09084544e+232
 2.76363904e+185
 1.30413950e+188
 7.48739663e+168
 3.91303098e+237
 4.14485915e+229
 2.62243181e+155
 2.62164848e+218
 Inf
 2.47836500e+243
 1.15754766e+181
 3.30228309e+293
 Inf
 Inf
 Inf
 Inf
 Inf
 3.04392587e+267
 1.61703149e+132
 1.56397257e+148
 Inf
 Inf
 Inf
 Inf
 Inf
 1.04504141e+212
 2.09502331e+205
 Inf
 7.37815605e+294
 1.92069672e+133
 7.77235144e+120
 7.73496428e+85
 7.05014124e+96
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.47555695e+116
 2.69521231e+168
 2.51333541e+03
 2.51329696e+03
 2.51327805e+03
 2.51331486e+03
 2.51335052e+03
 2.51328267e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.23458478e+284
 Inf
 Inf
 Inf
 Inf
 2.51331607e+03
 2.51346550e+03
 2.51332506e+03
 2.51331133e+03
 2.51335668e+03
 2.51330006e+03
 2.51328093e+03
 2.51327540e+03
 Inf
 Inf
 Inf
 Inf
 1.65514141e+296
 1.56514866e+294
 Inf
 2.51327413e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 1.58247108e+280
 6.36143119e+280
 2.14260418e+182
 1.11229878e+158
 1.79441250e+270
 Inf
 Inf
 Inf
 2.51327595e+03
 Inf
 Inf
 4.42523519e+282
 Inf
 Inf
 1.60013224e+277
 Inf
 Inf
 Inf
 Inf
 Inf
 4.46001571e+299
 7.52985775e+190
 7.94892845e+219
 Inf
 1.07544496e+268
 6.17149107e+155
 1.19363819e+145
 1.07582545e+190
 9.72473523e+248
 7.35627834e+142
 2.33548208e+134
 1.22701440e+183
 4.09565180e+207
 1.09070920e+248
 2.12168460e+211
 2.96810222e+267
 1.40829524e+167
 3.54639617e+133
 2.45808431e+159
 1.31635794e+144
 1.09465551e+149
 2.15350579e+178
 9.59065610e+278
 Inf
 Inf
 1.26121499e+178
 7.28474697e+117
 1.07783036e+137
 3.69147450e+200
 1.03202768e+276
 1.34421782e+285
 1.57597519e+308
 Inf
 1.13988543e+153
 2.15579016e+178
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.20123695e+193
 2.04031206e+180
 1.83553626e+200
 2.55927373e+176
 4.08978866e+207
 6.17228729e+167
 6.66785974e+110
 2.27485950e+147
 8.52240325e+288
 7.21044933e+303
 1.92115565e+208
 8.99781948e+153
 5.11474063e+203
 2.51794905e+251
 2.60615461e+150
 8.56400222e+141
 8.45355955e+166
 9.89013617e+163
 1.11770731e+146
 9.15597014e+139
 3.74025870e+194
 1.90792507e+192
 1.62652613e+127
 8.15381980e+94
 4.58140009e+111
 2.94848272e+126
 1.79270981e+105
 3.98566233e+103
 2.62361340e+104
 8.98594898e+161
 1.33875447e+184
 1.11943581e+112
 6.40978785e+122
 3.60194168e+161
 4.16865639e+123
 1.74831035e+93
 2.14732160e+120
 5.48784509e+195
 Inf
 Inf
 1.09592354e+165
 4.75754588e+105
 3.96603614e+132
 3.35934003e+147
 1.70128614e+117
 1.02803457e+131
 3.33861510e+112
 9.72978052e+108
 1.26464187e+130
 3.80322123e+122
 4.80376900e+133
 7.92964267e+137
 5.11440190e+94
 4.30111570e+102
 9.67634797e+193
 2.93028297e+249
 5.10578403e+127
 3.19517919e+134
 1.59082128e+229
 9.61368342e+210
 3.58337405e+142
 6.99252825e+94
 5.90084376e+77
 5.22180470e+79
 2.86150912e+92
 1.32637884e+87
 3.77505941e+79
 1.70233419e+75
 6.08301739e+75
 1.10472449e+83
 2.21750712e+97
 6.30629249e+95
 1.88590321e+86
 2.59194989e+84
 1.87791355e+86
 3.80791884e+87
 1.11635107e+89
 1.07527904e+94
 5.90089690e+89
 1.68303863e+82
 4.09275036e+112
 1.06147824e+125
 1.39780764e+98
 2.73800687e+106
 1.16280838e+139
 1.27584636e+130
 1.02728330e+96
 3.15106790e+116
 1.26073558e+151
 1.57225354e+147
 1.69428168e+120
 8.47512168e+105
 1.37309112e+112
 1.10218734e+146
 3.78110860e+182
 2.96685525e+132
 3.53853596e+149
 2.61678017e+218
 1.46716668e+162
 2.30645336e+96
 2.77786391e+90
 2.13519832e+129
 4.58801122e+139
 2.41421914e+59
 6.15495194e+55
 5.52966801e+105
 8.95236442e+133
 1.57864854e+135
 8.39735988e+118
 7.39508128e+132
 8.39298615e+118
 1.71745720e+112
 1.75679573e+119
 3.72107002e+119
 5.65689598e+137
 7.00439961e+177
 3.66298107e+181
 2.78470269e+106
 5.29925241e+81
 5.98171923e+97
 1.20060881e+102
 1.25285519e+99
 1.36352540e+119
 1.60866461e+146
 3.62779627e+161
 7.83660077e+136
 4.95378930e+90
 1.08922417e+72
 8.41823219e+80
 4.13205765e+99
 3.19058899e+91
 6.79745554e+93
 1.17700205e+100
 2.73861450e+76
 8.51967140e+70
 5.77317060e+93
 2.64549760e+112
 8.87575655e+111
 5.11313492e+140
 1.59328844e+132
 1.23909107e+104
 1.66326271e+121
 1.55855943e+148
 2.49024874e+113
 1.85749124e+92
 2.49471286e+88
 2.05716995e+91
 6.13149978e+76
 4.66750220e+70
 9.33877594e+94
 2.36941504e+100
 Inf
 2.51445070e+03
 2.51407829e+03
 2.51344110e+03
 Inf
 3.17335008e+260
 2.30360745e+212
 1.13153286e+153
 4.27863886e+196
 2.12383748e+136
 2.09704350e+95
 5.68938624e+105
 1.27067197e+188
 Inf
 2.37850503e+256
 7.36374849e+170
 3.95875631e+144
 1.59442130e+124
 1.94170929e+111
 4.45361619e+231
 2.26302702e+183
 3.85384913e+150
 1.01106793e+159
 2.30624475e+147
 1.02385220e+287
 Inf
 Inf
 Inf
 2.51327412e+03
 Inf
 1.05540659e+141
 2.29710406e+147
 1.45268059e+234
 1.78782931e+231
 1.19803405e+232
 2.30515551e+173
 7.09855132e+129
 4.87649318e+113
 2.78965590e+120
 7.02015457e+129
 1.84203490e+110
 3.15237574e+123
 2.25068060e+167
 1.98642062e+223
 4.99993058e+269
 Inf
 Inf
 Inf
 Inf
 1.38636284e+173
 5.45636861e+95
 1.88304544e+115
 1.45861053e+141
 1.07450369e+190
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.77133351e+230
 1.91445334e+131
 2.09563086e+137
 8.28667344e+258
 5.56311982e+264
 4.56986148e+168
 3.22603393e+248
 Inf
 4.09053629e+276
 3.74241683e+297
 6.18314057e+155
 1.57397691e+116
 1.41707673e+156
 3.63213995e+120
 7.15970990e+97
 1.17470809e+128
 1.45196909e+102
 3.41386659e+82
 1.48415270e+93
 1.02041637e+87
 1.56109981e+113
 1.87463000e+133
 3.36943894e+106
 2.35554818e+93
 2.64975191e+81
 1.94696743e+113
 3.50103946e+133
 5.19282416e+109
 3.46341514e+108
 5.99672603e+155
 1.30059042e+89
 1.54995033e+74
 2.12056299e+156
 1.00574494e+168
 8.35860696e+104
 7.55382781e+90
 3.28864147e+103
 5.93094032e+94
 8.08312713e+94
 4.33582897e+134
 1.68769341e+155
 5.82814256e+160
 8.50354207e+196
 1.64783085e+172
 3.64819397e+161
 2.40497609e+149
 2.48033307e+251
 Inf
 2.33343593e+254
 2.45084725e+278
 6.22261346e+277
 1.00231663e+205
 5.26531126e+156
 1.28037180e+130
 8.61784796e+131
 4.73194743e+105
 6.07215068e+86
 5.99646700e+97
 4.14602542e+130
 1.00555472e+159
 5.17817605e+140
 1.12035776e+174
 4.09649282e+229
 9.46505918e+162
 6.44004384e+109
 1.32514872e+122
 4.00462826e+183
 1.64436312e+172
 3.22948692e+125
 3.79868621e+122
 1.09315587e+32
 1.62211206e+28
 1.46022805e+65
 5.23491294e+86
 9.89263302e+85
 1.89907548e+88
 9.12401770e+123
 1.12035338e+88
 8.85930469e+98
 3.13842616e+123
 6.15019317e+119
 6.87064910e+126
 2.15446535e+117
 2.56720344e+170
 4.38790729e+205
 1.15213796e+180
 7.61817819e+200
 5.58334163e+233
 2.59339132e+258
 5.41055184e+236
 5.79912760e+202
 1.99005613e+236
 Inf
 Inf
 7.26010204e+123
 1.58143312e+128
 3.31553716e+272
 2.08070586e+190
 6.16497449e+218
 1.01749115e+306
 Inf
 2.51328441e+03
 Inf
 5.84935277e+189
 2.74719974e+185
 1.42848527e+222
 6.51866561e+179
 1.21823853e+129
 Inf
 Inf
 2.37269438e+255
 1.37805627e+193
 6.53080612e+158
 1.86018081e+220
 9.95980896e+204
 9.43841699e+162
 1.17798712e+132
 7.23261650e+142
 1.11799667e+213
 7.33095109e+170
 1.73485741e+150
 3.63547425e+192
 4.58840806e+231
 4.12810154e+207
 1.09013134e+190
 1.41774298e+191
 6.12408861e+155
 1.24317927e+157
 4.42002791e+134
 9.27761680e+123
 3.42312464e+146
 1.65387998e+139
 2.71651206e+168
 8.14605847e+184
 1.10582015e+136
 2.29483925e+103
 8.43624890e+103
 5.98765795e+134
 6.99762195e+177
 5.76165374e+244
 Inf
 5.53838654e+198
 3.06328224e+115
 2.29784034e+130
 Inf
 Inf
 4.59177071e+184
 1.68707258e+101
 4.98929908e+128
 1.45460395e+176
 6.60336316e+118
 9.74688993e+108
 2.81244169e+151
 1.43289659e+237
 1.73945638e+158
 7.35526331e+183
 Inf
 Inf
 9.29406708e+271
 Inf
 Inf
 Inf
 2.51328267e+03
 2.51327479e+03
 Inf
 3.14653122e+232
 Inf
 Inf
 1.10574486e+165
 5.77400435e+161
 Inf
 2.51336548e+03
 2.51338706e+03
 2.51327983e+03
 Inf
 2.51327711e+03
 Inf
 Inf
 2.51328249e+03
 Inf
 2.78296256e+144
 1.62245358e+129
 1.37717874e+167
 6.53134383e+201
 6.19489102e+163
 1.34167235e+117
 1.42908962e+152
 Inf
 9.86243543e+278
 9.28458448e+161
 4.60706211e+157
 5.03546362e+212
 2.51328622e+221
 1.39885801e+112
 2.82247676e+108
 5.11143066e+166
 1.14430870e+180
 1.36369573e+193
 2.86878756e+224
 2.07048379e+190
 5.30783218e+149
 1.12317838e+174
 6.66052430e+164
 1.63848757e+172
 4.48345824e+287
 2.27828173e+89
 1.01546613e+96
 7.22107458e+165
 1.24519479e+116
 1.95105250e+98
 1.00512015e+69
 9.63674852e+88
 6.04958305e+92
 4.09361098e+86
 4.69056196e+83
 7.13027930e+74
 1.95357158e+87
 2.08549587e+90
 3.16007766e+77
 5.22110131e+79
 1.05706470e+137
 2.05290972e+179
 1.45103306e+152
 7.16997584e+96
 2.10157317e+97
 4.67492396e+154
 3.65322247e+121
 1.48712146e+110
 6.04208492e+96
 8.98782754e+102
 2.22103765e+126
 1.19939871e+90
 3.15979891e+77
 8.02003452e+77
 4.79125100e+84
 3.64212233e+97
 1.03104889e+79
 2.19432666e+67
 1.56723912e+79
 2.12718718e+92
 3.74776803e+88
 2.56843462e+77
 6.72185936e+75
 5.06388704e+96
 8.89024899e+98
 2.48380743e+99
 5.07661089e+116
 1.78846579e+105
 6.12851972e+124
 4.70284527e+121
 1.79070654e+105
 1.71025481e+112
 2.49828929e+102
 7.66039016e+83
 4.47894986e+92
 5.48306667e+174
 2.67336797e+230
 4.20881855e+158
 5.03964542e+146
 3.41613040e+171
 2.28503659e+173
 1.29238868e+126
 3.02909445e+115
 4.87017809e+152
 3.92107926e+129
 2.78470697e+80
 4.10944120e+75
 3.31201650e+92
 2.48152464e+102
 1.37878045e+92
 6.05285995e+80
 4.75726561e+100
 4.47401218e+89
 1.47113949e+89
 2.07056118e+95
 2.49741206e+88
 3.57480645e+85
 3.49159137e+72
 2.99394101e+74
 5.21324675e+79
 1.36647199e+92
 7.46401632e+81
 5.00729587e+75
 1.67780941e+89
 1.01955717e+77
 2.37446944e+73
 8.90397153e+84
 2.25893514e+103
 1.10224206e+107
 1.89207340e+86
 1.50240431e+73
 5.36626075e+78
 6.87678965e+82
 1.56920821e+90
 1.75622084e+99
 1.27373185e+88
 2.17582812e+88
 1.11082205e+83
 6.47398268e+74
 4.97326612e+76
 1.18187181e+114
 1.70532012e+130
 3.42478912e+101
 2.29865546e+98
 2.75839485e+91
 4.97846731e+87
 2.76894061e+90
 4.83060672e+80
 2.67710347e+69
 2.64900927e+61
 4.45484077e+63
 7.76332238e+70
 4.15815975e+72
 1.25919240e+88
 1.54084962e+91
 9.96583237e+71
 2.94425566e+81
 9.65969367e+100
 6.48306530e+88
 2.22560633e+89
 6.02715166e+106
 3.55734227e+124
 8.48399408e+105
 2.23718228e+97
 2.63066859e+97
 8.41516553e+105
 3.59493516e+102
 3.40019442e+101
 1.10154500e+107
 6.92086331e+86
 4.96989583e+87
 2.06926020e+95
 5.24374554e+85
 1.01386937e+80
 4.14462586e+83
 3.33221161e+76
 1.68634433e+112
 3.67323607e+167
 1.73268192e+145
 Inf
 Inf
 2.93988010e+214
 Inf
 Inf
 2.51331486e+03
 2.51332417e+03
 2.51334406e+03
 2.51332284e+03
 2.51334726e+03
 Inf
 Inf
 1.88203533e+270
 2.13707526e+136
 1.16510914e+182
 3.03992350e+189
 5.22666482e+166
 2.37168668e+146
 4.15370858e+158
 1.70224857e+186
 5.85217728e+186
 4.47259540e+184
 7.06555983e+192
 7.32368771e+154
 6.13468628e+121
 9.59943507e+113
 3.59712723e+120
 4.87948672e+152
 1.89609263e+131
 2.51392176e+116
 4.93029269e+122
 2.42710651e+125
 8.18525532e+144
 6.40111365e+98
 8.99473172e+102
 2.83201166e+100
 4.17075717e+109
 1.36897775e+119
 8.94962847e+98
 3.49227327e+149
 2.27395187e+119
 1.26358240e+113
 9.95440418e+275
 1.79663635e+231
 6.48258806e+109
 7.67749105e+91
 1.58867257e+84
 1.10743769e+88
 4.47269492e+107
 9.76073547e+87
 1.45395015e+86
 1.51123046e+170
 2.93794869e+267
 3.60641580e+149
 2.56451323e+131
 5.24531060e+149
 2.58148167e+140
 7.64606819e+145
 1.52080462e+136
 4.28261258e+108
 2.26514373e+110
 7.87076138e+137
 4.14434686e+158
 6.48012383e+122
 1.51317489e+114
 1.10109711e+138
 3.93237408e+126
 1.29414272e+93
 1.01649649e+80
 8.90323362e+86
 1.48669726e+115
 1.21531223e+169
 1.87412156e+123
 1.90092645e+114
 3.75168183e+128
 1.03149131e+131
 2.17502383e+120
 1.56286115e+111
 1.38668827e+131
 1.61752010e+129
 1.77643561e+99
 7.00087527e+99
 6.38540933e+181
 3.74502372e+187
 4.92076793e+113
 2.30029879e+108
 1.91310039e+88
 9.86066927e+82
 9.86720650e+97
 1.76154246e+99
 7.11699755e+97
 6.02918999e+78
 5.08939181e+70
 1.29165750e+72
 8.88019525e+77
 3.66945892e+83
 2.92877977e+84
 1.09943689e+93
 1.33663797e+91
 1.07618780e+94
 9.49874594e+92
 4.93917473e+99
 1.28537912e+93
 2.29743246e+84
 2.38526416e+123
 1.18570285e+128
 1.20541361e+96
 4.95561851e+106
 4.85193034e+152
 4.11014575e+164
 9.21332222e+160
 9.66799217e+174
 4.52071354e+168
 1.07817459e+147
 3.93980111e+126
 1.17114371e+139
 8.54180580e+141
 7.93393768e+135
 5.96054031e+138
 4.02933958e+183
 3.42832291e+222
 2.45317774e+188
 1.09561266e+199
 Inf
 2.15207578e+182
 1.96725234e+96
 6.04538540e+106
 1.20347132e+127
 3.82603987e+115
 4.89005011e+101
 4.80005098e+100
 9.17935803e+123
 5.43536312e+132
 2.26443960e+253
 Inf
 2.63098321e+140
 2.48002203e+142
 1.48952533e+160
 1.93022438e+88
 7.77546741e+56
 8.23110221e+17
 1.14656661e+17
 1.76348615e+42
 7.80278721e+43
 1.56486536e+39
 5.08575083e+38
 7.44848260e+37
 4.43420498e+39
 2.19948764e+44
 7.26827427e+44
 5.65128826e+45
 3.06235910e+53
 1.02633683e+53
 6.18920733e+44
 2.07596621e+45
 3.23561711e+43
 2.26285943e+50
 9.45253740e+57
 2.30384767e+52
 1.52369371e+46
 9.08803341e+42
 1.87489640e+44
 2.36968861e+51
 2.08326626e+54
 3.46632640e+43
 4.58079281e+45
 1.05471414e+58
 1.32723750e+52
 3.23305180e+46
 3.79208584e+50
 4.45152084e+51
 1.74927734e+51
 7.60376652e+50
 3.26634524e+54
 1.08056772e+51
 6.67242264e+50
 1.12228070e+58
 4.59160039e+65
 1.98444397e+59
 5.73428354e+65
 1.30618427e+71
 2.48621771e+61
 3.88029341e+63
 3.71230633e+60
 4.95145209e+65
 1.59585618e+63
 3.40394890e+56
 1.97797706e+56
 5.05197422e+60
 2.19501962e+71
 9.29723582e+69
 1.48440577e+67
 5.23274959e+64
 3.40653788e+56
 1.85185513e+55
 8.10090912e+56
 5.84057671e+56
 1.73573371e+53
 3.61812944e+54
 4.68896250e+56
 1.53748678e+51
 9.27600191e+45
 1.15643687e+47
 1.86751061e+49
 3.72876310e+46
 2.59379327e+46
 1.14418486e+54
 3.82582133e+55
 7.55882329e+57
 6.50552906e+61
 4.41937822e+61
 2.55291684e+60
 2.71435949e+60
 2.93957631e+68
 3.59564980e+58
 1.47843918e+54
 1.08740596e+59
 1.66378373e+57
 6.88174517e+56
 2.00476869e+52
 1.16214122e+55
 5.69119420e+57
 4.21176622e+52
 8.56125737e+53
 1.43247813e+56
 1.13026405e+53
 5.83515717e+48
 4.00437080e+45
 9.37782514e+48
 4.30993786e+53
 1.11145501e+50
 6.06358507e+47
 2.08137634e+51
 3.38931127e+53
 3.98016923e+50
 1.41750665e+46
 3.17120450e+47
 7.31010234e+54
 1.66586905e+52
 5.61575974e+50
 3.37632920e+56
 1.54617914e+68
 2.96138565e+64
 3.41612234e+53
 1.82448610e+52
 3.37505120e+59
 7.65953633e+58
 5.57977380e+52
 1.16732951e+48
 9.67512081e+42
 4.79552100e+47
 5.65744590e+58
 1.98118645e+56
 1.82783698e+52
 4.07460462e+51
 2.30573065e+53
 1.58611983e+58
 3.75095886e+53
 1.27052192e+54
 8.60290915e+62
 1.55803941e+60
 1.78767385e+58
 6.09751345e+61
 1.79689838e+61
 7.93192811e+59
 9.51756586e+57
 3.64063669e+55
 3.77628785e+56
 3.00880856e+70
 1.69062635e+74
 2.54807193e+55
 1.97231927e+59
 8.67059103e+73
 1.29374972e+72
 1.38137808e+69
 1.40740044e+66
 4.39940484e+67
 1.80476840e+64
 4.32990092e+59
 7.59513021e+67
 5.19376807e+79
 2.46407515e+69
 4.57670859e+57
 3.26548065e+60
 5.49138664e+70
 1.35388154e+90
 9.98432743e+101
 1.01790587e+104
 2.48803983e+99
 2.45584371e+85
 1.97333377e+101
 2.87969784e+136
 9.51439097e+114
 3.70530404e+91
 8.97661409e+84
 6.03985909e+73
 5.92245088e+66
 1.25732167e+62
 3.19077429e+58
 2.32219245e+57
 8.15449765e+54
 1.77531460e+56
 8.10618095e+56
 2.80504439e+53
 1.98520363e+54
 4.47693156e+55
 7.35710338e+54
 8.39919561e+51
 1.03245470e+51
 1.21675027e+61
 2.42469460e+62
 3.50437817e+52
 4.94386953e+56
 2.07481787e+57
 5.09073934e+57
 7.00948235e+67
 2.23054935e+64
 1.30034446e+63
 6.11578387e+61
 1.01381606e+61
 9.89621987e+62
 3.01411090e+59
 6.16711099e+62
 5.37001601e+61
 2.52980896e+58
 2.17221159e+61
 1.56218779e+64
 9.22922718e+70
 6.54871842e+72
 1.69096490e+68
 2.37901300e+66
 5.94813400e+78
 1.02666369e+90
 2.02029864e+76
 6.74826653e+76
 5.64175848e+69
 4.12982806e+73
 3.40202894e+62
 2.40710702e+55
 1.38447879e+74
 5.50742045e+75
 1.11860659e+86
 1.36485119e+90
 8.83346124e+91
 1.96817178e+79
 3.97818802e+60
 3.94230778e+53
 2.75276520e+48
 1.99235855e+51
 8.40237383e+55
 1.10424895e+52
 4.40492206e+42
 1.16233965e+45
 6.33958891e+53
 9.65839955e+58
 1.38723182e+63
 3.29166068e+54
 7.03811278e+52
 9.47203769e+57
 5.83495676e+55
 1.85094909e+55
 3.36640998e+63
 1.53870147e+65
 1.95765301e+63
 7.76503879e+68
 3.41853899e+71
 1.03490334e+59
 1.30557983e+53
 1.33444974e+54
 2.22061403e+59
 1.17828206e+64
 4.14750760e+61
 1.48737607e+63
 2.50845148e+68
 7.07966870e+74
 2.57769036e+64
 4.23068388e+56
 6.15497832e+62
 1.68182906e+68
 6.20713710e+65
 1.22016210e+60
 4.06629362e+59
 6.42089361e+58
 2.31330232e+54
 2.80036962e+53
 3.09722059e+48
 1.04571391e+55
 2.39475501e+79
 9.72424956e+61
 2.68094218e+58
 1.04587273e+74
 1.40072149e+61
 1.16829223e+82
 9.99925427e+119
 2.90051798e+92
 1.63725688e+98
 8.25069759e+138
 4.53100737e+165
 1.26413761e+273
 1.96078748e+194
 1.91840588e+151
 2.39695983e+257
 3.22837578e+166
 1.21243960e+96
 7.37592973e+106
 2.71393096e+172
 7.98109661e+119
 1.25906602e+99
 1.64237804e+107
 3.77711135e+122
 3.39431784e+100
 2.15433321e+120
 3.59861800e+161
 2.30738398e+147
 7.31810823e+140
 1.96093233e+98
 3.16714784e+104
 6.32057927e+179
 2.75362571e+235
 5.33540211e+145
 5.23553246e+102
 5.38674025e+95
 1.02282155e+106
 2.62571440e+104
 1.01072073e+111
 1.02582398e+131
 2.96540668e+126
 3.45403243e+131
 1.81845464e+140
 1.27618366e+130
 1.40083295e+101
 1.40566059e+96
 8.98561717e+102
 1.71654641e+122
 1.70322915e+158
 1.07978445e+190
 5.04815683e+185
 3.28754504e+152
 1.80132143e+105
 5.31094949e+110
 5.15075851e+156
 1.11555416e+107
 6.81767235e+104
 1.55468660e+116
 1.30142630e+144
 2.41533829e+271
 1.17759820e+262
 Inf
 2.51328789e+03
 2.64240790e+213
 3.29918151e+152
 Inf
 Inf
 2.83651146e+202
 6.53900586e+158
 8.12791599e+184
 2.70451562e+191
 3.06488702e+138
 1.00106055e+168
 2.44205378e+184
 2.93601202e+129
 8.41870008e+196
 Inf
 Inf
 Inf
 2.10316490e+154
 2.11766520e+99
 2.06173736e+124
 3.04912012e+143
 7.96606704e+108
 3.40695717e+101
 1.96588747e+113
 3.18255304e+104
 2.03852750e+84
 1.28812288e+95
 7.82869763e+119
 1.60479636e+127
 1.90279373e+114
 1.06982307e+119
 4.77963241e+119
 6.67194260e+127
 1.07386003e+119
 6.84094566e+104
 1.19090384e+92
 2.99286025e+107
 2.67833377e+185
 4.18453560e+246
 1.48403796e+234
 7.48597788e+190
 1.54770106e+280
 Inf
 9.28649579e+143
 5.29838257e+85
 6.18665280e+102
 5.96281499e+218
 1.71101443e+153
 2.70755953e+96
 8.85386450e+91
 1.65564864e+101
 1.00272959e+102
 1.11569264e+83
 1.83883151e+68
 3.04245470e+75
 7.37631856e+114
 1.52860419e+108
 1.90191269e+82
 2.13049919e+92
 1.46255389e+105
 8.53089225e+87
 6.06264686e+70
 7.08918449e+74
 1.71223743e+87
 9.72520229e+83
 7.65191867e+85
 8.47534041e+87
 4.31369502e+80
 8.72757058e+82
 2.63098004e+112
 1.18161860e+128
 2.72966698e+124
 7.15533490e+111
 1.47339165e+94
 1.49804233e+81
 1.39957116e+84
 5.98899713e+97
 3.58487466e+102
 1.79459745e+104
 3.30540803e+103
 9.02798718e+106
 2.26385087e+110
 3.16831888e+116
 2.56510194e+155
 5.17463029e+140
 8.41287768e+122
 5.66839806e+150
 9.81128046e+108
 7.03159300e+84
 3.56489290e+102
 2.89889487e+122
 8.09466903e+112
 2.63111172e+104
 2.23616324e+97
 2.54405073e+133
 7.30163893e+183
 5.88002462e+103
 1.02777787e+92
 3.87073651e+126
 1.06770307e+187
 1.02714391e+212
 2.87721429e+127
 3.49060307e+117
 1.41947931e+195
 4.80516175e+154
 1.89484485e+133
 8.20436602e+144
 5.20411562e+109
 5.22799087e+108
 4.91767484e+122
 5.74953762e+111
 1.74354574e+93
 2.57234703e+77
 1.27276048e+86
 3.07890205e+118
 1.01051668e+113
 5.36697621e+98
 1.09961199e+112
 1.43268628e+161
 7.83608208e+136
 1.00268746e+98
 3.18118820e+93
 5.64198405e+135
 1.28368252e+126
 4.16103639e+112
 2.14589266e+117
 4.64486893e+120
 3.83109288e+159
 8.50095204e+196
 Inf
 Inf
 7.71971066e+114
 1.85153649e+53
 3.48284728e+21
 4.62271344e+20
 1.38670770e+42
 1.01765759e+21
 5.02807942e+21
 1.09127794e+41
 2.51443484e+38
 1.51220224e+68
 Inf
 2.51327612e+03
 2.51327490e+03
 2.51328502e+03
 2.51332825e+03
 Inf
 2.51330169e+03
 2.51331772e+03
 Inf
 2.51327711e+03
 Inf
 Inf
 2.51327612e+03
 Inf
 Inf
 Inf
 Inf
 1.61794238e+159
 2.85637110e+175
 1.56247952e+292
 1.19178962e+179
 2.32530851e+148
 2.89962625e+238
 Inf
 Inf
 Inf
 Inf
 2.51327555e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51332328e+03
 2.51336973e+03
 2.51329007e+03
 2.51328029e+03
 2.51333840e+03
 2.51335273e+03
 2.50981333e+03
 Inf
 1.88900461e+270
 2.12657180e+211
 1.03163294e+212
 4.60528282e+231
 4.91786370e+245
 2.33205604e+253
 1.00098671e+192
 8.50672618e+242
 Inf
 3.37996167e+293
 Inf
 4.18550194e+229
 1.12719223e+146
 6.47312535e+158
 6.58569757e+270
 4.17485999e+164
 1.57645676e+147
 Inf
 Inf
 1.34274140e+144
 2.29888958e+147
 Inf
 Inf
 5.12689650e+185
 3.16250900e+186
 1.74365064e+165
 4.62449744e+139
 3.17780435e+123
 3.72556589e+119
 5.74486791e+111
 1.47349407e+109
 4.29392797e+110
 1.00572395e+102
 1.56937514e+128
 1.73152168e+142
 1.27085588e+151
 4.41090237e+143
 5.73995743e+171
 2.17927682e+152
 2.18447503e+120
 1.67837178e+153
 9.12535401e+216
 2.51327432e+03
 2.51353528e+03
 2.51394041e+03
 2.51441858e+03
 2.51398661e+03
 2.51348786e+03
 2.51339591e+03
 2.51340726e+03
 2.51331526e+03
 2.51335385e+03
 2.51378655e+03
 2.51401375e+03
 2.51426657e+03
 2.51406768e+03
 2.51343228e+03
 2.51373254e+03
 2.51378374e+03
 2.51360436e+03
 2.51387705e+03
 2.51395184e+03
 2.51370863e+03
 2.51345183e+03
 2.51359528e+03
 2.51376403e+03
 2.51362761e+03
 2.51373794e+03
 2.51387861e+03
 2.51386471e+03
 2.51373794e+03
 2.51337346e+03
 2.51336913e+03
 2.51361125e+03
 2.51341313e+03
 2.51336548e+03
 2.51349621e+03
 2.51351244e+03
 2.51342757e+03
 2.51339870e+03
 2.51341461e+03
 2.51327911e+03
 Inf
 Inf
 2.51328195e+03
 2.51334779e+03
 2.51329109e+03
 2.51332461e+03
 2.51337598e+03
 2.51335162e+03
 2.51340872e+03
 2.51353528e+03
 2.51376822e+03
 2.51386326e+03
 2.51377804e+03
 2.51367522e+03
 2.51346724e+03
 2.51351534e+03
 2.51629440e+03
 2.51581054e+03
 2.51358522e+03
 2.51350666e+03
 2.51334942e+03
 2.51360208e+03
 2.51407124e+03
 2.51401537e+03
 2.51351633e+03
 Inf
 2.10292682e+190
 6.64040504e+173
 1.47216403e+176
 1.17702474e+182
 6.87516670e+182
 Inf
 2.51364678e+03
 2.51404834e+03
 2.51414388e+03
 2.51353833e+03
 2.51330337e+03
 2.51349341e+03
 2.51376404e+03
 2.51355283e+03
 2.51351243e+03
 2.51357641e+03
 2.51374611e+03
 2.51362879e+03
 2.51343149e+03
 2.51384958e+03
 2.51390365e+03
 2.51351146e+03
 2.51370209e+03
 2.51381250e+03
 Inf
 2.35910949e+173
 Inf
 2.51350092e+03
 2.51327733e+03
 2.51328461e+03
 2.51374884e+03
 2.51357313e+03
 2.51333590e+03
 2.51343228e+03
 2.51340010e+03
 2.51346376e+03
 2.51358856e+03
 2.51360210e+03
 2.51364557e+03
 2.51371653e+03
 2.51363833e+03
 2.51347787e+03
 2.51360665e+03
 2.51348420e+03
 2.51330371e+03
 2.51337220e+03
 2.51366770e+03
 2.51388793e+03
 2.51359303e+03
 2.51345690e+03
 2.51349248e+03
 2.51367020e+03
 2.51367411e+03
 2.51334888e+03
 2.51340726e+03
 2.51338772e+03
 2.51328461e+03
 2.51338112e+03
 2.51352323e+03
 2.51353937e+03
 2.51354866e+03
 2.51382866e+03
 2.51397161e+03
 2.51375296e+03
 2.51361473e+03
 2.51401031e+03
 2.51456328e+03
 2.51444846e+03
 2.51433302e+03
 2.51370601e+03
 2.51394039e+03
 2.51414014e+03
 2.51367396e+03
 2.51366407e+03
 2.51389416e+03
 2.51367648e+03
 2.51353834e+03
 2.51424881e+03
 2.51408725e+03
 2.51363593e+03
 2.51372182e+03
 2.51360665e+03
 2.51361469e+03
 2.51343149e+03
 2.51333443e+03
 2.51353936e+03
 2.51342293e+03
 2.51337725e+03
 2.51349341e+03
 2.51345519e+03
 2.51354761e+03
 2.51354138e+03
 2.51354243e+03
 2.51373659e+03
 2.51370599e+03
 2.51339246e+03
 2.51368027e+03
 2.51421573e+03
 2.51400688e+03
 2.51337598e+03
 2.51329161e+03
 2.51377664e+03
 2.51391950e+03
 2.51348511e+03
 2.51377945e+03
 2.51476474e+03
 2.51402057e+03
 2.51364436e+03
 2.51373523e+03
 2.51365655e+03
 2.51382128e+03
 2.51394203e+03
 2.51360322e+03
 2.51355075e+03
 2.51361705e+03
 2.51367271e+03
 2.51376403e+03
 2.51397993e+03
 2.51411079e+03
 2.51384507e+03
 2.51372051e+03
 2.51364557e+03
 2.51351049e+03
 2.51575425e+03
 2.51565941e+03
 2.51351829e+03
 2.51343547e+03
 2.51327659e+03
 2.51327669e+03
 2.51332284e+03
 2.51335726e+03
 2.51333249e+03
 2.51327540e+03
 2.51328812e+03
 Inf
 Inf
 2.51337471e+03
 2.51330474e+03
 Inf
 2.51332197e+03
 2.51355600e+03
 2.51374611e+03
 2.51368918e+03
 2.51383460e+03
 2.51427849e+03
 2.51397991e+03
 2.51382867e+03
 2.51409989e+03
 2.51396330e+03
 2.51389574e+03
 2.51396001e+03
 2.51425471e+03
 2.51357097e+03
 Inf
 Inf
 Inf
 Inf
 2.33559051e+255
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.64862568e+296
 Inf
 2.51328061e+03
 2.51330236e+03
 2.51328381e+03
 Inf
 Inf
 8.94203537e+207
 3.39081863e+219
 2.46308347e+184
 Inf
 Inf
 3.92860954e+182
 1.92027868e+114
 6.01198991e+134
 5.20492577e+126
 3.20112032e+125
 2.72780074e+124
 4.88607826e+152
 5.21944798e+156
 7.13388360e+157
 1.16656088e+224
 2.19134903e+196
 1.41871707e+125
 2.18284572e+104
 1.01882831e+122
 2.94946140e+141
 1.08497328e+137
 5.94235352e+99
 3.39707384e+101
 5.65460942e+161
 2.43858547e+184
 1.99462976e+223
 2.13134914e+233
 5.54264520e+264
 2.42716051e+163
 7.81622679e+120
 1.10576125e+146
 8.03550702e+156
 1.09776472e+149
 5.27204328e+145
 3.82291857e+163
 6.54229508e+181
 2.67795577e+230
 1.62915511e+229
 1.56966540e+201
 2.42748395e+278
 Inf
 2.51327460e+03
 Inf
 1.00715080e+279
 3.78433848e+200
 1.97313895e+288
 Inf
 2.88929419e+195
 6.45431082e+180
 1.46711218e+234
 3.76725986e+200
 3.40210049e+147
 7.32989611e+194
 1.49903394e+185
 8.47215555e+122
 4.65218886e+120
 3.10172804e+130
 1.50069824e+118
 2.91471202e+122
 2.51354554e+03
 2.51770842e+03
 2.51873395e+03
 2.51957143e+03
 2.51840346e+03
 2.51689154e+03
 2.51526450e+03
 2.51369176e+03
 2.51335329e+03
 2.51327817e+03
 Inf
 Inf
 4.99450190e+273
 1.03817530e+261
 Inf
 Inf
 Inf
 Inf
 9.87491439e+278
 7.48570164e+235
 Inf
 Inf
 2.51327563e+03
 Inf
 Inf
 Inf
 2.51327669e+03
 Inf
 2.51328932e+03
 2.51330371e+03
 2.51330039e+03
 Inf
 Inf
 2.51327417e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330544e+03
 2.51329057e+03
 Inf
 1.48436423e+195
 1.89977850e+108
 Inf
 2.51334198e+03
 9.29156485e+208
 5.99447685e+221
 1.46749088e+161
 7.36493760e+146
 Inf
 5.46365147e+301
 2.11498662e+205
 6.14997937e+277
 3.90648895e+279
 3.98603272e+237
 1.38084034e+269
 4.96191290e+217
 2.51528851e+221
 Inf
 6.27741614e+239
 5.19612711e+203
 2.00636189e+244
 6.56393029e+214
 7.42362136e+235
 5.01058688e+269
 Inf
 Inf
 4.10592471e+276
 1.05541480e+287
 1.43372967e+191
 1.49378607e+109
 2.83739845e+100
 6.78353409e+187
 Inf
 Inf
 2.97824061e+249
 Inf
 Inf
 1.92838445e+220
 4.49496446e+184
 1.35087478e+198
 1.45225511e+195
 1.60389424e+227
 7.20848358e+157
 9.70124411e+171
 3.03374801e+189
 4.90643006e+217
 4.25380613e+225
 4.07853095e+177
 2.01141597e+187
 3.28831289e+152
 3.65349454e+140
 3.82166258e+150
 2.30842673e+177
 1.62352338e+127
 4.87348664e+113
 3.61461455e+140
 8.41263088e+122
 2.14275395e+112
 2.89289824e+136
 5.03423928e+127
 1.85926023e+123
 9.19855581e+117
 1.28218037e+140
 6.05507595e+239
 5.93619982e+162
 1.51571613e+137
 8.49630996e+150
 2.03568427e+181
 3.99847461e+227
 5.82514611e+171
 4.38930895e+205
 4.01824404e+216
 2.94920658e+238
 Inf
 7.16693378e+274
 1.12306759e+158
 3.70067378e+160
 1.23280782e+178
 8.16228464e+184
 1.14838241e+180
 7.47738811e+168
 1.90124851e+265
 Inf
 1.72332678e+197
 5.23266081e+166
 3.80089159e+182
 1.42433620e+246
 7.07416622e+224
 1.35300758e+184
 2.94967115e+267
 Inf
 7.00375590e+230
 5.63352333e+195
 9.97672749e+193
 7.19254739e+254
 2.19900414e+196
 1.71642698e+134
 1.17549901e+203
 1.78999957e+298
 3.34505412e+174
 3.46289645e+146
 7.62166029e+251
 Inf
 1.57462244e+294
 Inf
 Inf
 Inf
 1.49462865e+234
 4.26407049e+225
 3.98582591e+144
 1.40794698e+125
 6.15276165e+119
 3.88475976e+105
 2.38518038e+115
 3.76839896e+114
 6.55816887e+133
 1.07181050e+190
 7.87744581e+149
 1.24270349e+134
 8.67140884e+207
 1.92084618e+207
 1.45655594e+152
 2.50834083e+213
 7.49511548e+283
 8.56056662e+258
 6.62483024e+201
 2.94595274e+136
 2.32000784e+139
 3.40902554e+171
 7.41230821e+190
 1.61582975e+189
 Inf
 2.51367774e+03
 2.51396334e+03
 2.51381248e+03
 2.51471896e+03
 2.51489886e+03
 2.51385261e+03
 2.51368409e+03
 2.51415873e+03
 2.51424301e+03
 2.51377946e+03
 2.51400859e+03
 2.51409811e+03
 2.51422929e+03
 2.51387706e+03
 2.51356881e+03
 2.51396331e+03
 2.51446151e+03
 2.51401030e+03
 2.51368791e+03
 2.51408192e+03
 2.51402569e+03
 2.51367648e+03
 2.51349155e+03
 2.51373119e+03
 2.51398160e+03
 2.51362761e+03
 2.51376681e+03
 2.51375841e+03
 2.51349998e+03
 2.51352024e+03
 2.51365287e+03
 2.51357205e+03
 2.51340223e+03
 2.51330832e+03
 2.51329666e+03
 2.51329637e+03
 2.51327495e+03
 2.51341313e+03
 2.51366646e+03
 2.51348970e+03
 2.51341387e+03
 2.51339660e+03
 2.51354865e+03
 2.51377523e+03
 Inf
 3.30012102e+134
 2.17664280e+135
 4.64855479e+204
 6.90760720e+230
 Inf
 7.39971691e+170
 1.72736439e+130
 5.00058115e+148
 2.05639202e+154
 7.58006896e+215
 7.43176527e+183
 3.40829773e+156
 1.10090290e+136
 6.97736697e+192
 8.71357914e+298
 8.80945312e+288
 9.16491804e+199
 3.45192445e+171
 2.27152280e+212
 5.81473060e+171
 2.86765952e+214
 1.35130104e+263
 3.82235123e+194
 1.03581270e+235
 1.14578498e+218
 1.37621391e+269
 2.81648658e+259
 1.40397247e+133
 1.40599850e+222
 Inf
 1.85075478e+104
 6.93446663e+94
 4.09099865e+282
 7.48842666e+235
 7.11889961e+192
 1.42775608e+246
 Inf
 Inf
 5.85883123e+189
 9.41450213e+169
 6.10338655e+155
 7.34722034e+194
 8.09201730e+232
 1.21481628e+166
 4.38327997e+205
 1.66986434e+168
 9.16787170e+161
 2.25656255e+254
 1.05226379e+287
 2.14358995e+182
 2.64074598e+193
 9.73217449e+248
 Inf
 7.63764431e+256
 7.50374494e+190
 1.35084327e+202
 2.64989093e+193
 1.91943385e+209
 8.34998772e+266
 5.21089978e+203
 2.53595520e+228
 4.84132300e+273
 4.69611427e+211
 1.16704582e+262
 8.15124001e+238
 4.94522883e+217
 Inf
 Inf
 Inf
 1.59545956e+308
 Inf
 Inf
 Inf
 Inf
 Inf
 1.01225826e+194
 5.57569160e+233
 2.53121044e+251
 1.84334222e+274
 Inf
 Inf
 8.11629962e+219
 7.33698100e+170
 2.31745254e+162
 5.63098544e+169
 6.35531573e+228
 1.95192302e+194
 3.93718724e+237
 Inf
 Inf
 4.47342942e+205
 2.51338308e+03
 2.51336788e+03
 3.83530752e+179
 2.40375632e+163
 6.89646266e+274
 Inf
 7.15375095e+224
 6.17399174e+277
 Inf
 Inf
 Inf
 1.84892601e+270
 3.43670577e+169
 6.10289577e+155
 1.24316635e+157
 5.17628979e+140
 7.41177485e+168
 3.07962116e+232
 1.57680264e+170
 1.60201080e+132
 9.08713297e+161
 3.76416790e+194
 3.31088058e+174
 4.48677491e+287
 Inf
 5.78151498e+285
 7.51615480e+252
 1.91246769e+208
 6.55482563e+139
 1.61306293e+127
 1.54508852e+170
 4.08390372e+207
 1.88055738e+220
 1.03299770e+212
 4.45163497e+220
 2.29245743e+212
 Inf
 Inf
 9.25094335e+209
 2.56272273e+176
 1.31845883e+285
 Inf
 4.54054135e+184
 5.43883599e+198
 Inf
 4.39822347e+282
 4.41172461e+170
 5.77682066e+171
 1.52825866e+294
 Inf
 2.50096769e+271
 Inf
 Inf
 2.13408482e+211
 1.92525088e+209
 5.09175912e+212
 4.85890831e+223
 Inf
 7.37214196e+294
 1.14471748e+174
 1.45780703e+161
 4.55624496e+165
 3.65010489e+192
 7.39238963e+235
 Inf
 Inf
 2.46975660e+278
 Inf
 2.51337283e+03
 2.51345436e+03
 2.51327780e+03
 Inf
 1.65649972e+229
 9.97170486e+204
 2.85388336e+195
 8.18742615e+184
 2.47553101e+203
 5.05891546e+185
 2.77779976e+172
 7.35717912e+235
 Inf
 Inf
 2.06819005e+180
 2.74179511e+168
 3.33847761e+215
 1.03227992e+212
 4.42266833e+205
 1.05895642e+268
 3.78070119e+200
 Inf
 Inf
 7.95279324e+290
 3.47936037e+222
 3.73704446e+160
 3.36412384e+272
 Inf
 Inf
 8.07693818e+22
 6.25029098e+12
 2.04863303e+13
 4.86906170e+12
 6.98214878e+12
 2.85186607e+14
 4.19760837e+16
 2.53783207e+17
 1.03036698e+17
 5.19548236e+16
 7.99117025e+16
 1.08378034e+30
 2.89659746e+147
 1.40811065e+34
 1.69933597e+18
 4.34037283e+16
 1.20012771e+17
 5.07403709e+17
 3.58332579e+16
 2.51449050e+16
 5.49153014e+16
 1.04675373e+17
 1.12623512e+26
 8.66681753e+69
 9.57814028e+29
 7.24336573e+17
 2.28771212e+16
 8.85196513e+16
 1.95519840e+16
 1.98444080e+16
 2.45824239e+16
 2.81698204e+16
 2.38021507e+16
 1.30524140e+20
 4.41246360e+42
 3.71986445e+39
 2.41684976e+19
 1.40045965e+16
 7.57574289e+16
 1.23134073e+16
 6.57251301e+13
 1.29967948e+12
 6.46154232e+12
 2.34814842e+12
 1.11390243e+15
 1.38408447e+30
 3.93213953e+26
 1.27434431e+14
 2.31407332e+12
 1.13092383e+13
 1.86180257e+12
 2.02136025e+12
 1.47733415e+12
 8.42833017e+11
 1.36922576e+12
 6.61254458e+14
 9.84494108e+30
 5.03672809e+28
 2.47091367e+14
 2.02773898e+12
 1.04790828e+13
 2.37636412e+12
 1.76003404e+12
 1.26038541e+12
 9.61352996e+11
 1.98092270e+12
 6.20055029e+14
 4.95358336e+28
 5.91269285e+26
 1.03276915e+14
 1.53440645e+12
 2.00416575e+13
 1.20200516e+12
 1.04549834e+12
 1.14212613e+12
 1.36315151e+12
 3.12880375e+12
 4.33272675e+14
 2.08890178e+27
 2.63682738e+32
 1.57229437e+15
 1.32205131e+12
 4.54302888e+12
 1.11793491e+12
 1.04231432e+12
 1.21086699e+12
 2.04618989e+12
 1.51896426e+12
 1.12335788e+14
 2.53474284e+27
 1.64954447e+32
 1.53900909e+15
 1.43448285e+12
 5.46693369e+12
 1.48535538e+12
 6.17879419e+22
 Inf
 2.69889563e+21
 1.65939177e+18
 2.84042334e+29
 1.27406139e+18
 4.62632379e+21
 8.71296016e+82
 6.05603082e+24
 2.63421608e+17
 3.10745399e+45
 8.12911534e+24
 1.34511118e+14
 5.25377308e+20
 2.98118364e+79
 1.74234534e+25
 1.19967969e+18
 1.10270480e+21
 1.17486270e+19
 5.21158104e+38
 1.56077477e+25
 2.99092294e+18
 4.69904141e+22
 3.95704434e+16
 4.54595472e+14
 6.97522213e+17
 1.39280919e+44
 Inf
 3.03007371e+49
 2.67977444e+22
 4.71185891e+19
 1.15069168e+22
 8.20753756e+45
 Inf
 Inf
 1.96393114e+30
 6.02246890e+15
 1.27883098e+14
 4.96023486e+12
 9.82913398e+21
 1.91262573e+25
 2.76692353e+12
 3.29431278e+11
 7.41158255e+18
 4.92797709e+23
 5.77527406e+12
 2.43369865e+11
 7.57936336e+17
 5.20593924e+21
 7.51466109e+23
 Inf
 2.51327968e+03
 1.20980375e+29
 4.72906425e+19
 6.20598324e+50
 4.32744578e+41
 5.72134267e+40
 8.90918467e+49
 1.03347359e+17
 7.94121139e+17
 2.64632650e+23
 6.01885363e+20
 2.29770173e+38
 1.18455723e+49
 1.28629182e+23
 1.49842606e+22
 5.32882502e+25
 9.21462801e+44
 1.50600755e+197
 1.58981973e+264
 Inf
 Inf
 5.69404472e+195
 1.97977902e+206
 2.51356881e+03
 2.51345774e+03
 4.28998192e+183
 4.59986568e+263
 Inf
 3.79985913e+297
 3.86699184e+19
 2.07885718e+11
 1.67991956e+18
 4.87969394e+20
 8.09594672e+11
 1.68605277e+11
 3.75016708e+18
 8.96122391e+21
 1.71008041e+12
 1.64351009e+20
 Inf
 8.03025454e+257
 Inf
 1.40698238e+30
 1.05643828e+30
 Inf
 1.14047538e+24
 2.10616176e+17
 4.12489465e+21
 1.28477158e+18
 3.22662961e+28
 4.28461779e+42
 7.78629297e+30
 4.19319605e+25
 1.80745887e+36
 7.29191687e+26
 2.96086887e+19
 6.09606287e+22
 4.63913744e+20
 1.32327064e+23
 1.68259308e+24
 5.88327285e+23
 3.93675150e+23
 3.77139960e+23
 8.90589562e+23
 4.21481370e+23
 5.03683772e+23
 5.60683761e+24
 1.67748744e+25
 3.21957645e+24
 6.52633255e+23
 2.53098045e+24
 6.40608300e+24
 2.77862321e+25
 1.43684608e+25
 1.98642451e+24
 9.83220232e+24
 1.11690094e+44
 3.97352410e+27
 4.61246036e+22
 8.18193766e+75
 Inf
 Inf
 1.51908267e+215
 2.48827201e+203
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327925e+03
 Inf
 5.96203985e+160
 2.04121801e+171
 2.51806693e+228
 1.36011921e+198
 1.01257234e+306
 Inf
 2.97974785e+249
 4.68454103e+211
 2.43744397e+243
 Inf
 Inf
 2.46184003e+252
 Inf
 Inf
 Inf
 1.56761101e+294
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327435e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.84501038e+270
 Inf
 1.80799203e+231
 Inf
 Inf
 4.32965919e+246
 7.35737710e+170
 1.36106716e+193
 2.51392107e+03
 2.51853512e+03
 2.51781681e+03
 2.51642364e+03
 2.51556396e+03
 2.51402748e+03
 2.51328401e+03
 2.51327452e+03
 2.51334094e+03
 2.51328093e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328045e+03
 2.51328523e+03
 2.51327939e+03
 Inf
 Inf
 Inf
 2.51328110e+03
 2.36953754e+32
 2.85131269e+17
 1.46337736e+18
 2.74504304e+16
 4.02216842e+15
 4.10048927e+14
 8.24346710e+13
 3.85075946e+13
 1.26112964e+13
 3.19471872e+12
 8.07340533e+21
 1.99058919e+125
 2.87943500e+23
 1.02812082e+13
 3.04645264e+11
 2.70125634e+18
 2.10869305e+23
 5.81820102e+12
 3.10477477e+11
 3.11735973e+19
 1.53783782e+275
 Inf
 Inf
 2.68493346e+23
 1.89166151e+18
 9.23008471e+36
 5.63478812e+19
 1.79101117e+18
 1.26860322e+52
 Inf
 7.60118510e+43
 8.79257600e+21
 4.85969826e+22
 2.17861761e+26
 7.64527758e+47
 2.18227881e+39
 1.86245178e+22
 4.94801899e+24
 6.49229296e+26
 4.34334681e+25
 6.36040427e+24
 8.44570656e+24
 6.25414719e+25
 8.02620826e+25
 1.98695167e+25
 3.83615968e+25
 2.12801272e+25
 5.89530814e+24
 3.29446199e+25
 1.98584012e+25
 2.39558472e+25
 2.37149497e+25
 1.50830960e+25
 3.03222676e+26
 7.88514429e+26
 1.22585034e+42
 1.48688300e+168
 1.15430486e+169
 1.67332250e+27
 7.09601173e+17
 6.45206975e+34
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.51564585e+301
 4.88794720e+273
 Inf
 Inf
 1.16242797e+218
 Inf
 Inf
 Inf
 2.51328608e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327420e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 1.09189620e+238
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.66510404e+188
 5.07299433e+212
 1.71522417e+240
 2.89053637e+224
 9.26329859e+216
 6.72397059e+178
 5.05308430e+148
 8.99520217e+209
 1.24000278e+247
 3.98358722e+262
 Inf
 Inf
 Inf
 1.08091689e+287
 Inf
 Inf
 Inf
 Inf
 3.49829040e+295
 Inf
 Inf
 Inf
 2.16865794e+300
 2.51327745e+03
 2.51328957e+03
 Inf
 Inf
 2.51327413e+03
 2.51327869e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.72114195e+247
 3.89078823e+279
 Inf
 Inf
 Inf
 Inf
 2.73400444e+250
 Inf
 2.51369304e+03
 2.51376271e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.35229091e+285
 3.47760551e+222
 1.03069965e+261
 Inf
 5.08395735e+269
 2.67093036e+193
 2.50464184e+221
 8.55431670e+242
 4.68101914e+211
 3.39289974e+219
 8.76834083e+298
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327438e+03
 2.51337283e+03
 2.51334146e+03
 2.51329849e+03
 2.51333346e+03
 2.51333941e+03
 2.51350282e+03
 2.51336487e+03
 2.51334888e+03
 2.51339110e+03
 2.51329911e+03
 2.51333443e+03
 2.51337158e+03
 2.51354865e+03
 2.51384507e+03
 2.51345860e+03
 2.51327756e+03
 2.51332641e+03
 2.51334302e+03
 2.51344766e+03
 2.51351340e+03
 2.51327479e+03
 2.51341536e+03
 2.51349622e+03
 Inf
 2.51329350e+03
 2.51364435e+03
 2.51331566e+03
 2.51336428e+03
 2.51388015e+03
 2.51346117e+03
 2.51356557e+03
 2.51352621e+03
 2.51332641e+03
 2.51338112e+03
 2.51362643e+03
 2.51354969e+03
 2.51328178e+03
 2.51329032e+03
 2.51362761e+03
 2.51354037e+03
 2.51328675e+03
 2.51345435e+03
 2.51385716e+03
 2.51374064e+03
 2.51360094e+03
 2.51348420e+03
 2.51338572e+03
 Inf
 2.78204460e+198
 3.44681259e+261
 Inf
 Inf
 2.51328286e+03
 2.51327514e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328720e+03
 2.51330943e+03
 2.51327650e+03
 Inf
 Inf
 Inf
 2.51327465e+03
 Inf
 Inf
 2.51328249e+03
 2.51327830e+03
 Inf
 Inf
 2.51332687e+03
 2.51337982e+03
 2.51328884e+03
 Inf
 2.51327768e+03
 2.51336428e+03
 2.51332506e+03
 2.51334725e+03
 2.51341686e+03
 2.51354554e+03
 2.51338906e+03
 2.51327650e+03
 2.51361588e+03
 2.51394692e+03
 2.51352026e+03
 2.51343706e+03
 2.51336132e+03
 2.51360322e+03
 2.51405535e+03
 2.51415318e+03
 2.51363235e+03
 2.51327650e+03
 2.51327817e+03
 2.51330832e+03
 2.51329548e+03
 2.51335107e+03
 2.51331689e+03
 2.51336973e+03
 2.51332596e+03
 2.51327631e+03
 2.51351243e+03
 2.51353632e+03
 2.51329462e+03
 2.51330579e+03
 2.51337096e+03
 2.51328742e+03
 2.51349528e+03
 2.51363594e+03
 2.51328481e+03
 2.51329109e+03
 2.51332733e+03
 Inf
 7.54845148e+255
 Inf
 Inf
 Inf
 7.53488085e+235
 1.60144028e+264
 Inf
 Inf
 Inf
 2.51345183e+03
 2.51339041e+03
 2.51329322e+03
 2.51330371e+03
 2.51341686e+03
 2.51375987e+03
 2.51374734e+03
 2.51334565e+03
 2.51327420e+03
 Inf
 Inf
 2.51329241e+03
 2.51363474e+03
 2.51374068e+03
 2.51342524e+03
 2.51329757e+03
 2.51334198e+03
 2.51328836e+03
 2.51327570e+03
 2.51330795e+03
 2.51341686e+03
 2.51346203e+03
 2.51336547e+03
 2.51342679e+03
 2.51340653e+03
 2.51332372e+03
 2.51329007e+03
 2.51327452e+03
 2.51329007e+03
 2.51332240e+03
 2.51335273e+03
 2.51345435e+03
 2.51349622e+03
 2.51335498e+03
 2.51328675e+03
 2.51328932e+03
 2.51338638e+03
 2.51343071e+03
 2.51332965e+03
 2.51346549e+03
 2.51345518e+03
 2.51330943e+03
 2.51339383e+03
 2.51344273e+03
 2.51339178e+03
 2.51327745e+03
 Inf
 2.51329943e+03
 2.51334997e+03
 2.51336073e+03
 2.51329161e+03
 2.51353123e+03
 2.51334942e+03
 Inf
 2.51333890e+03
 2.51328565e+03
 Inf
 Inf
 2.51327460e+03
 Inf
 Inf
 2.51327456e+03
 2.51327570e+03
 2.51329787e+03
 Inf
 Inf
 Inf
 2.51334459e+03
 2.51331446e+03
 Inf
 2.51327533e+03
 2.51327438e+03
 Inf
 Inf
 2.51341387e+03
 2.51354762e+03
 2.51330509e+03
 2.51329548e+03
 2.51327444e+03
 2.51327427e+03
 2.51327722e+03
 2.51327479e+03
 2.51340581e+03
 2.51362407e+03
 2.51352124e+03
 2.51328077e+03
 Inf
 2.51346811e+03
 2.51349717e+03
 2.51330136e+03
 2.51332733e+03
 2.51336973e+03
 2.51328789e+03
 Inf
 Inf
 2.51331689e+03
 2.51332687e+03
 2.51334146e+03
 2.51353629e+03
 2.51348602e+03
 2.51335107e+03
 2.51330723e+03
 2.51333640e+03
 2.51339452e+03
 2.51334146e+03
 2.51341761e+03
 2.51357314e+03
 2.51336973e+03
 2.51332733e+03
 2.51335783e+03
 2.51338112e+03
 2.51336190e+03
 2.51333890e+03
 2.51340294e+03
 2.51365902e+03
 2.51351146e+03
 2.51327587e+03
 2.51331648e+03
 2.51381688e+03
 2.51360779e+03
 2.51327680e+03
 2.51333941e+03
 2.51352323e+03
 2.51336073e+03
 Inf
 2.51329214e+03
 2.51327595e+03
 Inf
 2.51327533e+03
 2.51331648e+03
 2.51333740e+03
 Inf
 8.62346001e+258
 Inf
 Inf
 1.07451192e+276
 Inf
 Inf
 2.51328126e+03
 Inf
 Inf
 2.51329295e+03
 2.51331446e+03
 2.51334043e+03
 2.51347429e+03
 2.51352922e+03
 2.51344355e+03
 2.51327495e+03
 2.51328323e+03
 2.51351927e+03
 2.51339246e+03
 2.51330071e+03
 2.51343546e+03
 2.50846655e+03
 2.51341462e+03
 2.51359754e+03
 2.51346987e+03
 2.51337789e+03
 2.51336309e+03
 2.51339521e+03
 2.51352922e+03
 2.51336132e+03
 2.51357750e+03
 2.51389260e+03
 2.51354141e+03
 2.51332641e+03
 Inf
 Inf
 2.51355389e+03
 2.51364075e+03
 2.51329268e+03
 2.51334354e+03
 2.51350953e+03
 2.51330981e+03
 2.51327435e+03
 2.51335273e+03
 2.51344684e+03
 2.51327650e+03
 2.51327640e+03
 2.51352821e+03
 2.51363594e+03
 2.51337853e+03
 Inf
 2.51329241e+03
 2.51353325e+03
 2.51341536e+03
 2.51332551e+03
 2.51332508e+03
 2.51340509e+03
 2.51329405e+03
 2.51333840e+03
 2.51370994e+03
 2.51344519e+03
 2.51340152e+03
 2.51345435e+03
 2.51338177e+03
 2.51334198e+03
 2.51336428e+03
 2.51336014e+03
 2.51331855e+03
 2.51329378e+03
 2.51327448e+03
 2.51331689e+03
 2.51335783e+03
 2.51327414e+03
 2.51330337e+03
 2.51336309e+03
 2.51329818e+03
 2.51327501e+03
 2.51332461e+03
 2.51362407e+03
 2.51344932e+03
 2.51341686e+03
 2.51355074e+03
 2.51363117e+03
 2.51360894e+03
 2.51335441e+03
 2.51327768e+03
 2.51345860e+03
 2.51371918e+03
 2.51368660e+03
 2.51385563e+03
 2.51357314e+03
 2.51350378e+03
 2.51356773e+03
 2.51345435e+03
 2.51344602e+03
 2.51347607e+03
 2.51327722e+03
 Inf
 2.51333249e+03
 2.51351633e+03
 2.51337534e+03
 2.51341761e+03
 2.51359079e+03
 2.51336912e+03
 2.51336191e+03
 2.51360665e+03
 2.51367021e+03
 2.51350187e+03
 2.51333992e+03
 2.51333202e+03
 2.51351146e+03
 2.51331982e+03
 2.51327968e+03
 2.51339315e+03
 2.51346899e+03
 2.51345015e+03
 2.51361821e+03
 2.51372986e+03
 2.51352821e+03
 2.51345183e+03
 2.51361938e+03
 2.51379084e+03
 2.51343626e+03
 2.51330723e+03
 2.51334250e+03
 2.51340438e+03
 2.51354761e+03
 2.51355083e+03
 2.51336912e+03
 2.51351437e+03
 2.51350185e+03
 Inf
 2.51327883e+03
 2.51341611e+03
 2.51333394e+03
 Inf
 Inf
 Inf
 Inf
 2.51331689e+03
 2.51336073e+03
 2.51333443e+03
 2.51332779e+03
 2.51331897e+03
 2.51357970e+03
 2.51359871e+03
 2.51335218e+03
 2.51327415e+03
 2.51338506e+03
 2.51346812e+03
 2.51342757e+03
 2.51358411e+03
 2.51370471e+03
 2.51357314e+03
 2.51338705e+03
 2.51361472e+03
 2.51379514e+03
 2.51365532e+03
 2.51333346e+03
 Inf
 2.51338047e+03
 2.51334942e+03
 2.51329666e+03
 2.51515112e+03
 2.51581754e+03
 2.51384808e+03
 2.51343626e+03
 2.51334095e+03
 2.51344029e+03
 2.51363355e+03
 2.51380378e+03
 2.51357750e+03
 2.51344849e+03
 2.51342602e+03
 2.51338907e+03
 2.51346899e+03
 2.51346633e+03
 2.51335956e+03
 2.51336071e+03
 2.51335783e+03
 2.51339383e+03
 2.51338308e+03
 2.51332197e+03
 2.51329607e+03
 2.51329161e+03
 2.51334250e+03
 2.51337471e+03
 2.51330759e+03
 2.51335783e+03
 2.51334942e+03
 2.51329007e+03
 2.51327416e+03
 Inf
 Inf
 2.51327438e+03
 2.51330371e+03
 2.51337035e+03
 2.51332733e+03
 Inf
 Inf
 2.51328836e+03
 2.51327412e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328765e+03
 2.51338308e+03
 2.51327869e+03
 2.51328401e+03
 2.51331689e+03
 2.51331018e+03
 2.51344029e+03
 2.51362290e+03
 2.51352322e+03
 2.51333394e+03
 2.51334512e+03
 2.51339800e+03
 2.51339041e+03
 2.51330039e+03
 2.51329057e+03
 2.51337725e+03
 2.51675293e+03
 2.52204068e+03
 2.51812796e+03
 2.51595227e+03
 2.51512674e+03
 2.51434739e+03
 2.51362998e+03
 2.51359984e+03
 2.51377523e+03
 2.51329491e+03
 2.51329322e+03
 2.51355705e+03
 2.51352919e+03
 2.51348878e+03
 2.51332551e+03
 2.51336547e+03
 2.51345605e+03
 2.51348786e+03
 2.51329462e+03
 2.51328249e+03
 2.51348694e+03
 2.51336428e+03
 2.51334672e+03
 2.51373930e+03
 2.51372833e+03
 2.51337982e+03
 2.51345774e+03
 2.51386936e+03
 2.51368535e+03
 2.51333346e+03
 2.51366148e+03
 2.51383610e+03
 2.51332641e+03
 2.51333541e+03
 2.51349809e+03
 2.51361241e+03
 2.51335725e+03
 Inf
 Inf
 2.51327998e+03
 Inf
 Inf
 Inf
 2.51335218e+03
 2.51333492e+03
 2.51327456e+03
 Inf
 2.51333249e+03
 2.51329636e+03
 Inf
 2.51330071e+03
 2.51346117e+03
 2.51369048e+03
 2.51355599e+03
 2.51352125e+03
 2.51370732e+03
 2.51350472e+03
 2.51345183e+03
 2.51353629e+03
 2.51328982e+03
 Inf
 2.51330981e+03
 2.51354866e+03
 2.51334779e+03
 2.51327514e+03
 2.51334618e+03
 2.51343307e+03
 2.51334565e+03
 2.51330103e+03
 2.51335329e+03
 2.51343948e+03
 2.51349248e+03
 2.51365778e+03
 2.51372318e+03
 2.51355179e+03
 2.51337918e+03
 2.51332779e+03
 2.51335441e+03
 2.51352223e+03
 2.51361822e+03
 2.51457684e+03
 2.51445270e+03
 2.51341018e+03
 2.51338573e+03
 2.51369176e+03
 2.51383462e+03
 2.51355494e+03
 2.51345267e+03
 2.51413458e+03
 2.51451633e+03
 2.51350568e+03
 2.51332417e+03
 2.51352124e+03
 2.51349433e+03
 2.51337598e+03
 2.51347518e+03
 2.51349716e+03
 2.51367774e+03
 2.51339800e+03
 2.51327570e+03
 2.51334094e+03
 2.51349903e+03
 2.51334726e+03
 Inf
 Inf
 2.51341988e+03
 2.51426459e+03
 2.51508101e+03
 2.51542477e+03
 2.51496267e+03
 2.51350092e+03
 Inf
 2.51347607e+03
 2.51444424e+03
 2.51462277e+03
 2.51513482e+03
 2.51487845e+03
 2.51421380e+03
 2.51478175e+03
 2.51631867e+03
 2.51720844e+03
 2.51653387e+03
 2.51544515e+03
 2.51571045e+03
 2.51604083e+03
 2.51622579e+03
 2.51598481e+03
 2.51585556e+03
 2.51645898e+03
 2.51577933e+03
 2.51548346e+03
 2.51647319e+03
 2.51691063e+03
 2.51550708e+03
 2.51462265e+03
 2.51520319e+03
 2.51581416e+03
 2.51551296e+03
 2.51470704e+03
 2.51530390e+03
 2.51628408e+03
 2.51612373e+03
 2.51541012e+03
 2.51517032e+03
 2.51541299e+03
 2.51497043e+03
 2.51464584e+03
 2.51576051e+03
 2.51639909e+03
 2.51528979e+03
 2.51525123e+03
 2.51587147e+03
 2.51643782e+03
 2.51557593e+03
 2.51576033e+03
 2.51653397e+03
 2.51554886e+03
 2.51556062e+03
 2.51629095e+03
 2.51609709e+03
 2.51619151e+03
 2.51596196e+03
 2.51641653e+03
 2.51662812e+03
 2.51579828e+03
 2.51667907e+03
 2.51694492e+03
 2.51612743e+03
 2.51658429e+03
 2.51652269e+03
 2.51648042e+03
 2.51625995e+03
 2.51517847e+03
 2.51538677e+03
 2.51606068e+03
 2.51581398e+03
 2.51553395e+03
 2.51658801e+03
 2.51680171e+03
 2.51522817e+03
 2.51450967e+03
 2.51508628e+03
 2.51589078e+03
 2.51485589e+03
 2.51443781e+03
 2.51509970e+03
 2.51522004e+03
 2.51440583e+03
 2.51385261e+03
 2.51451406e+03
 2.51553096e+03
 2.49652931e+03
 2.51533522e+03
 2.51529846e+03
 2.51556992e+03
 2.51551286e+03
 2.51603086e+03
 2.51466685e+03
 2.51338439e+03
 2.51330405e+03
 2.51343706e+03
 2.51350569e+03
 2.51341611e+03
 2.51337534e+03
 2.51345016e+03
 2.51358633e+03
 2.51338047e+03
 2.51327925e+03
 2.51330405e+03
 2.51345775e+03
 2.51340944e+03
 2.51334302e+03
 2.51345351e+03
 2.51345947e+03
 2.51331607e+03
 2.51328421e+03
 Inf
 2.51330759e+03
 2.51337982e+03
 2.51329350e+03
 2.51333106e+03
 2.51361125e+03
 2.51347340e+03
 2.51328630e+03
 2.51331772e+03
 2.51342447e+03
 2.51336729e+03
 Inf
 Inf
 2.51340366e+03
 2.51329911e+03