2.51402748e+03
 2.51387860e+03
 2.51379084e+03
 2.51369692e+03
 2.51383014e+03
 2.51394855e+03
 2.51403787e+03
 2.51393230e+03
 2.51379083e+03
 2.51397492e+03
 2.51404137e+03
 2.51406418e+03
 2.51374884e+03
 2.51357860e+03
 2.51359752e+03
 2.51360895e+03
 2.51367020e+03
 2.51363593e+03
 2.51358633e+03
 2.51332067e+03
 2.51328461e+03
 2.51336487e+03
 2.51350953e+03
 2.51361705e+03
 2.51340872e+03
 2.51338572e+03
 2.51355705e+03
 2.51355378e+03
 2.51339042e+03
 2.51347697e+03
 2.51363953e+03
 2.51376822e+03
 2.51406063e+03
 2.51417756e+03
 2.51365778e+03
 2.51343546e+03
 2.51348970e+03
 2.51366521e+03
 2.51358522e+03
 2.51338705e+03
 2.51334942e+03
 2.51343228e+03
 2.51331288e+03
 2.51330405e+03
 2.51367901e+03
 2.51337408e+03
 2.51350856e+03
 2.51391628e+03
 2.51345604e+03
 2.51350472e+03
 2.51366273e+03
 2.51359415e+03
 2.51361124e+03
 2.51375296e+03
 2.51383908e+03
 2.51389261e+03
 2.51384958e+03
 2.51361356e+03
 2.51391787e+03
 2.51403095e+03
 2.51369304e+03
 2.51380232e+03
 2.51385413e+03
 2.51394203e+03
 2.51391944e+03
 2.51369047e+03
 2.51373928e+03
 2.51362055e+03
 2.51361832e+03
 2.51404833e+03
 2.51392585e+03
 2.51386173e+03
 2.51390201e+03
 2.51361241e+03
 2.51337471e+03
 2.51357314e+03
 2.51397659e+03
 2.51378086e+03
 2.51411441e+03
 2.51436810e+03
 2.51390044e+03
 2.51375987e+03
 2.51404134e+03
 2.51405378e+03
 2.51387243e+03
 2.51389883e+03
 2.51401544e+03
 2.51368154e+03
 2.51383907e+03
 2.51407836e+03
 2.51379944e+03
 2.51380351e+03
 2.51392267e+03
 2.51411807e+03
 2.51380522e+03
 2.51367901e+03
 2.51390359e+03
 2.51359754e+03
 2.51331210e+03
 2.51329083e+03
 2.51339110e+03
 2.51357751e+03
 2.51337789e+03
 2.51328789e+03
 2.51332110e+03
 2.51344029e+03
 2.51349063e+03
 2.51330103e+03
 Inf
 Inf
 2.51327756e+03
 2.51329295e+03
 2.51328231e+03
 2.51328860e+03
 Inf
 Inf
 Inf
 2.51331648e+03
 2.51343387e+03
 2.51338177e+03
 2.51336428e+03
 2.51332417e+03
 2.51330136e+03
 2.51330269e+03
 2.51333154e+03
 2.51340799e+03
 2.51349903e+03
 2.51344110e+03
 2.51332067e+03
 2.51330007e+03
 2.51327680e+03
 2.51327469e+03
 2.51329607e+03
 2.51333840e+03
 2.51345267e+03
 2.51334726e+03
 2.51327533e+03
 2.51331288e+03
 2.51332284e+03
 2.51330759e+03
 2.51333011e+03
 2.51337725e+03
 2.51342992e+03
 2.51328381e+03
 Inf
 2.51327420e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331210e+03
 2.51333740e+03
 2.51328742e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327424e+03
 Inf
 9.33808369e+271
 2.51328110e+03
 2.51334459e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.34438489e+225
 7.69274327e+215
 1.59595234e+264
 1.46516175e+237
 Inf
 9.22604389e+209
 9.95821099e+191
 Inf
 5.87841836e+244
 Inf
 2.51342524e+03
 Inf
 Inf
 Inf
 5.55358521e+301
 Inf
 Inf
 Inf
 8.54744948e+266
 1.29070559e+214
 7.66325314e+200
 3.66449194e+161
 1.45954144e+234
 Inf
 Inf
 6.53198168e+228
 2.54799214e+213
 Inf
 Inf
 4.01392004e+262
 3.83843912e+268
 Inf
 Inf
 Inf
 2.02514577e+288
 3.44111974e+169
 1.26573680e+273
 Inf
 3.91715518e+289
 Inf
 Inf
 Inf
 6.84914035e+265
 2.77274177e+185
 7.17377566e+294
 Inf
 2.32539524e+254
 1.05532030e+226
 4.91356839e+245
 9.19669046e+271
 1.03797291e+261
 2.14479185e+217
 4.42613157e+205
 1.04299678e+287
 1.46859947e+237
 1.57118857e+201
 3.36177696e+215
 5.76996334e+189
 3.91080832e+190
 4.05901804e+177
 2.04812101e+171
 9.17321895e+161
 2.14348620e+143
 6.09786987e+167
 7.37158538e+183
 6.44184408e+180
 1.93737385e+194
 1.08786389e+190
 5.57100909e+233
 1.08332156e+204
 4.72885009e+204
 3.84101179e+289
 2.71163343e+275
 1.99880241e+288
 8.62310663e+166
 1.66032744e+139
 3.38242380e+261
 2.45501826e+257
 3.88405134e+150
 3.38691469e+156
 1.26665193e+214
 Inf
 Inf
 4.06778751e+216
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327514e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327939e+03
 2.51328342e+03
 2.51327469e+03
 Inf
 2.51327911e+03
 2.51327604e+03
 Inf
 Inf
 Inf
 2.51328742e+03
 2.51328195e+03
 Inf
 Inf
 Inf
 2.51327444e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328836e+03
 2.51328674e+03
 2.51327621e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327412e+03
 Inf
 Inf
 2.51332240e+03
 2.51327555e+03
 Inf
 2.51327578e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328860e+03
 Inf
 8.29806686e+238
 1.35692816e+263
 3.10103863e+260
 8.89238676e+207
 1.03849059e+235
 7.70251118e+215
 1.03537596e+276
 3.50677931e+291
 2.07523113e+181
 6.67470254e+265
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.00153232e+279
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328045e+03
 Inf
 Inf
 Inf
 Inf
 4.05122856e+262
 Inf
 Inf
 2.51329378e+03
 2.51327722e+03
 Inf
 Inf
 Inf
 2.51330136e+03
 Inf
 2.51327711e+03
 2.51329350e+03
 Inf
 2.51327587e+03
 2.51327897e+03
 2.51327465e+03
 2.51327444e+03
 2.51328077e+03
 2.51329083e+03
 2.51165778e+03
 Inf
 Inf
 2.51327780e+03
 2.51329378e+03
 2.51331249e+03
 2.51331327e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51339591e+03
 2.51347430e+03
 2.51365410e+03
 2.51348238e+03
 Inf
 Inf
 Inf
 Inf
 2.51329161e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328502e+03
 2.51328481e+03
 2.51327612e+03
 2.51327998e+03
 2.51328884e+03
 2.51327456e+03
 Inf
 2.51327465e+03
 2.51327998e+03
 2.51333992e+03
 2.51337035e+03
 2.51331813e+03
 2.51337345e+03
 2.51368663e+03
 2.51356129e+03
 2.51329607e+03
 2.51351049e+03
 2.51346986e+03
 2.51330687e+03
 2.51348602e+03
 2.51384207e+03
 2.51383431e+03
 2.51331689e+03
 2.51327954e+03
 2.51328544e+03
 Inf
 2.51329322e+03
 2.51335052e+03
 2.51333541e+03
 2.51346636e+03
 2.51357314e+03
 2.51350377e+03
 2.51491649e+03
 2.51454742e+03
 2.51337035e+03
 2.51337503e+03
 2.51332284e+03
 2.51345945e+03
 2.51365410e+03
 2.51351146e+03
 2.51337598e+03
 2.51341536e+03
 2.51329109e+03
 2.51328061e+03
 2.51333492e+03
 2.51331056e+03
 2.51331566e+03
 2.51335107e+03
 2.51344932e+03
 2.51346900e+03
 2.51338047e+03
 2.51337855e+03
 2.51342992e+03
 2.51350664e+03
 2.51371653e+03
 2.51360550e+03
 2.51337283e+03
 2.51340437e+03
 2.51337221e+03
 2.51338373e+03
 2.51344355e+03
 2.51339870e+03
 2.51355074e+03
 2.51359192e+03
 2.51350473e+03
 2.51345016e+03
 2.51332779e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328675e+03
 2.51327444e+03
 Inf
 2.51328720e+03
 2.51332825e+03
 2.51333346e+03
 2.51345520e+03
 2.51336608e+03
 2.51330615e+03
 2.51342447e+03
 2.51351633e+03
 2.51342447e+03
 2.51349062e+03
 2.51360780e+03
 2.51352621e+03
 2.51387706e+03
 2.51377803e+03
 2.51367396e+03
 2.51364557e+03
 2.51341165e+03
 2.51353833e+03
 2.51347786e+03
 2.51359528e+03
 2.51365410e+03
 2.51354970e+03
 2.51358744e+03
 2.51342370e+03
 2.51355599e+03
 2.51371521e+03
 2.51364799e+03
 2.51370732e+03
 2.51359754e+03
 2.51344437e+03
 2.51364194e+03
 2.51395018e+03
 2.51396025e+03
 2.51402230e+03
 2.51371785e+03
 2.51338638e+03
 2.51336729e+03
 2.51348238e+03
 2.51369692e+03
 2.51418511e+03
 2.51400518e+03
 2.51347429e+03
 2.51347578e+03
 2.51357532e+03
 2.51351146e+03
 2.51371653e+03
 2.51385413e+03
 2.51378654e+03
 2.51397492e+03
 2.51361241e+03
 2.51334459e+03
 2.51352921e+03
 2.51366770e+03
 2.51357422e+03
 2.51347340e+03
 2.51345520e+03
 2.51355494e+03
 2.51345774e+03
 2.50811583e+03
 2.51347075e+03
 2.51353731e+03
 2.51356451e+03
 2.51335217e+03
 2.51328697e+03
 2.51327925e+03
 2.51333297e+03
 2.51338839e+03
 2.51327507e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327424e+03
 2.51327578e+03
 2.51329818e+03
 Inf
 Inf
 Inf
 2.51328126e+03
 2.51327474e+03
 2.51327429e+03
 2.51334565e+03
 2.51330202e+03
 2.51332687e+03
 2.51333492e+03
 2.51327448e+03
 2.51334942e+03
 2.51359867e+03
 2.51349903e+03
 2.51333690e+03
 2.51329726e+03
 2.51343307e+03
 2.51333394e+03
 2.51327768e+03
 2.51341611e+03
 2.51346899e+03
 2.51344766e+03
 2.51352322e+03
 2.51341462e+03
 2.51338308e+03
 2.51340223e+03
 2.51327555e+03
 2.51327650e+03
 2.51331730e+03
 2.51334565e+03
 2.51328093e+03
 Inf
 2.51327587e+03
 Inf
 Inf
 Inf
 2.51329406e+03
 2.51339800e+03
 2.51336190e+03
 Inf
 Inf
 2.51329666e+03
 2.51329911e+03
 2.51332825e+03
 Inf
 Inf
 Inf
 Inf
 2.51334997e+03
 2.51331056e+03
 Inf
 Inf
 Inf
 2.51329519e+03
 2.51347967e+03
 2.51357532e+03
 2.51371257e+03
 2.51350760e+03
 2.51330981e+03
 2.51327954e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51338374e+03
 2.51337407e+03
 2.51327490e+03
 2.51327911e+03
 2.51327830e+03
 2.51327474e+03
 2.51331607e+03
 2.51328908e+03
 Inf
 2.51329911e+03
 2.51339246e+03
 Inf
 Inf
 2.51328249e+03
 2.51335052e+03
 2.51333106e+03
 2.51330651e+03
 2.51329406e+03
 2.51327570e+03
 2.51327722e+03
 Inf
 2.51327587e+03
 2.51327448e+03
 Inf
 2.51329161e+03
 2.51334512e+03
 2.51327417e+03
 2.51329007e+03
 2.51340872e+03
 2.51407124e+03
 2.51396161e+03
 2.51333106e+03
 2.51331689e+03
 2.51335554e+03
 2.51344932e+03
 2.51351049e+03
 2.51359191e+03
 2.51334997e+03
 2.51332372e+03
 2.51346987e+03
 2.51339870e+03
 2.51328381e+03
 Inf
 2.51328110e+03
 2.51331094e+03
 2.51332825e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328077e+03
 Inf
 Inf
 Inf
 1.07500684e+268
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327540e+03
 Inf
 Inf
 2.51327469e+03
 Inf
 Inf
 5.10019220e+269
 3.99527234e+262
 2.58444722e+281
 1.58486677e+277
 4.67431995e+263
 1.84642041e+274
 Inf
 Inf
 7.90486446e+251
 1.00499394e+194
 5.57568892e+233
 1.18462671e+224
 1.57536968e+170
 3.84370371e+163
 2.28130990e+173
 3.03015963e+114
 1.06320150e+147
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.40101219e+269
 1.29098563e+214
 Inf
 Inf
 Inf
 Inf
 Inf
 1.84538993e+270
 1.04746064e+235
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.07466074e+276
 8.43537203e+266
 3.70139077e+247
 3.22265675e+201
 7.51894343e+256
 4.23617387e+246
 1.60402231e+264
 Inf
 Inf
 Inf
 Inf
 2.17382760e+233
 8.90581828e+208
 7.03620009e+224
 2.56744778e+176
 8.24243607e+222
 Inf
 8.34161274e+250
 1.93400918e+265
 2.73656046e+302
 4.68649867e+263
 1.48703708e+234
 5.61387417e+233
 6.48677467e+180
 1.77057378e+231
 4.54759669e+287
 3.70952183e+247
 Inf
 8.85581299e+288
 2.09105196e+154
 2.85301066e+175
 7.37886667e+252
 1.62886138e+189
 6.97628112e+189
 2.32874694e+148
 3.06851011e+143
 7.40958820e+152
 4.01874939e+132
 8.20281411e+144
 3.16124520e+201
 1.55277707e+308
 Inf
 3.91285859e+289
 3.79288038e+187
 1.66549675e+168
 1.33129608e+177
 8.28573793e+266
 Inf
 Inf
 2.52189309e+271
 3.85447608e+182
 8.53257820e+175
 1.04862360e+221
 3.68559440e+179
 2.47282721e+203
 3.83987244e+289
 Inf
 Inf
 4.79271649e+204
 Inf
 Inf
 2.58064737e+213
 1.97882149e+288
 Inf
 2.72392092e+275
 Inf
 Inf
 Inf
 5.65193021e+264
 6.21205106e+277
 Inf
 Inf
 Inf
 Inf
 Inf
 7.56353689e+235
 1.63034336e+229
 1.83692541e+274
 8.43374459e+266
 Inf
 1.60013265e+277
 Inf
 2.51333249e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.80412215e+297
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.47721471e+236
 1.20634371e+145
 1.07308531e+147
 8.96356231e+199
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328195e+03
 Inf
 Inf
 Inf
 2.51328523e+03
 2.51328286e+03
 Inf
 Inf
 2.51327533e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51463188e+03
 2.51996659e+03
 2.51929790e+03
 2.51600782e+03
 2.51406239e+03
 2.51348970e+03
 2.51331094e+03
 2.51330007e+03
 2.51332328e+03
 Inf
 Inf
 2.51327595e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 7.99391269e+296
 1.11731917e+196
 5.75635862e+150
 1.33882830e+122
 9.48242941e+114
 7.53199653e+176
 Inf
 1.70487739e+245
 1.56450086e+280
 Inf
 Inf
 Inf
 2.51329434e+03
 Inf
 3.52323621e+272
 Inf
 Inf
 Inf
 Inf
 1.74761314e+155
 2.31746603e+75
 1.54928745e+103
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51351146e+03
 2.51346898e+03
 Inf
 Inf
 Inf
 2.51327939e+03
 2.51329032e+03
 2.51328213e+03
 2.51332918e+03
 2.51353325e+03
 2.51362880e+03
 2.51346462e+03
 2.51333840e+03
 2.51335668e+03
 2.51331056e+03
 2.51328342e+03
 2.51329607e+03
 2.51336790e+03
 2.51333992e+03
 2.51328381e+03
 2.51327595e+03
 Inf
 Inf
 2.51328742e+03
 2.51328093e+03
 2.51327690e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.74774332e+290
 Inf
 Inf
 4.66571184e+231
 9.27850802e+259
 Inf
 Inf
 Inf
 Inf
 6.64483910e+214
 4.66334740e+211
 6.17544412e+167
 2.86177883e+175
 1.47111920e+215
 1.02181610e+159
 8.44134519e+122
 1.26046414e+111
 4.42508683e+117
 1.67813219e+155
 3.42352679e+171
 3.37472810e+197
 1.89792967e+208
 Inf
 2.51337789e+03
 2.51330371e+03
 Inf
 Inf
 2.19509055e+112
 1.38726700e+131
 Inf
 Inf
 Inf
 Inf
 Inf
 1.58982418e+294
 3.14006667e+232
 2.29271138e+254
 Inf
 Inf
 Inf
 Inf
 4.61169052e+287
 2.06087339e+180
 2.44820557e+184
 9.08501798e+271
 1.59342440e+292
 2.97242446e+249
 4.98771956e+152
 2.83933652e+224
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.49624867e+257
 2.30286317e+212
 2.09514013e+205
 3.84741106e+122
 6.96720145e+82
 2.71882608e+106
 2.54810123e+140
 1.05152884e+117
 1.16536631e+132
 1.57791775e+135
 1.68639677e+153
 1.43279785e+156
 4.44366832e+184
 2.67969786e+230
 1.09340476e+190
 2.64425105e+218
 1.72059812e+186
 5.79285583e+171
 7.35584795e+235
 1.50724713e+185
 9.38593323e+155
 1.01231230e+159
 4.16578289e+158
 3.21593368e+248
 3.77585762e+167
 2.30989853e+147
 1.22866504e+169
 2.57483727e+226
 Inf
 Inf
 2.51327413e+03
 2.51330943e+03
 2.51327435e+03
 Inf
 Inf
 2.51334565e+03
 2.51362643e+03
 2.51347607e+03
 2.51367648e+03
 2.51382719e+03
 2.51364314e+03
 2.51381687e+03
 2.51398495e+03
 2.51340726e+03
 2.51327479e+03
 Inf
 Inf
 2.51332551e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329577e+03
 2.51334618e+03
 Inf
 Inf
 Inf
 2.51339452e+03
 2.51352722e+03
 2.51349997e+03
 2.51384657e+03
 2.51408552e+03
 2.51384507e+03
 2.51343948e+03
 2.51336973e+03
 2.51354141e+03
 2.51334997e+03
 2.51331406e+03
 2.51350187e+03
 2.51354555e+03
 2.51357206e+03
 2.51396002e+03
 2.51429250e+03
 2.51384057e+03
 2.51349621e+03
 2.51339800e+03
 2.51344766e+03
 2.51352026e+03
 2.51347786e+03
 2.51369691e+03
 2.51367017e+03
 2.51357097e+03
 2.51450302e+03
 2.51435346e+03
 2.51336912e+03
 2.45965742e+160
 9.90422571e+193
 2.51338242e+03
 2.51336308e+03
 2.51329083e+03
 2.51328421e+03
 2.51328982e+03
 2.51329462e+03
 2.51332825e+03
 2.51349063e+03
 2.51348777e+03
 2.51337283e+03
 2.51359980e+03
 2.51342602e+03
 2.51339521e+03
 2.51384657e+03
 2.51417001e+03
 2.51421196e+03
 2.51413827e+03
 2.51373659e+03
 2.51408013e+03
 2.51465750e+03
 2.51418699e+03
 2.51416452e+03
 2.51416611e+03
 2.51389887e+03
 2.51400349e+03
 2.51419653e+03
 2.51417743e+03
 2.51401715e+03
 2.51398162e+03
 2.51399333e+03
 2.51403439e+03
 2.51378940e+03
 2.51356237e+03
 2.51362642e+03
 2.51368919e+03
 2.51370342e+03
 2.51381395e+03
 2.51343228e+03
 2.51345774e+03
 2.51381981e+03
 2.51330474e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330136e+03
 2.51346117e+03
 2.51332110e+03
 2.52564968e+252
 1.03544553e+261
 Inf
 2.51331327e+03
 2.51356881e+03
 2.51402231e+03
 2.51387858e+03
 Inf
 2.80045022e+302
 2.51337158e+03
 2.51334043e+03
 2.51332461e+03
 2.51341091e+03
 2.51335611e+03
 2.51337096e+03
 2.51341239e+03
 2.51352521e+03
 2.51374338e+03
 2.51367899e+03
 2.51335329e+03
 2.51328908e+03
 2.51340152e+03
 2.51372051e+03
 2.51366519e+03
 2.51333690e+03
 2.51341611e+03
 2.51369433e+03
 2.51379371e+03
 2.51355705e+03
 2.51328077e+03
 Inf
 Inf
 2.51327495e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327733e+03
 2.51349341e+03
 2.51358412e+03
 2.51349903e+03
 2.51365287e+03
 2.51361704e+03
 2.51345351e+03
 2.51334512e+03
 2.51347252e+03
 2.51343149e+03
 2.51330202e+03
 2.51341988e+03
 2.51349809e+03
 2.51331730e+03
 2.51337035e+03
 2.51356558e+03
 2.51338177e+03
 2.51338118e+03
 2.51344849e+03
 2.51327448e+03
 Inf
 Inf
 2.51327612e+03
 2.51328061e+03
 2.51327612e+03
 Inf
 Inf
 2.51327733e+03
 Inf
 Inf
 Inf
 Inf
 1.86404212e+274
 3.41948412e+219
 1.43513299e+246
 1.93073738e+207
 8.07646448e+93
 8.13644566e+100
 1.46740128e+143
 9.78671812e+109
 4.35124724e+94
 1.54825254e+116
 1.58136034e+189
 6.10165558e+159
 1.05510164e+117
 7.42665778e+106
 2.88675317e+119
 3.98995682e+118
 4.08802952e+101
 1.45033837e+141
 1.49011750e+163
 9.07663702e+128
 8.38520376e+118
 3.83114103e+98
 4.96047716e+106
 1.62750289e+168
 2.27834163e+167
 5.23705051e+126
 1.46414095e+141
 2.17046516e+138
 1.90715502e+115
 6.52445623e+118
 1.81138412e+140
 5.84152835e+162
 2.49157290e+142
 2.27087628e+119
 1.31005171e+103
 4.64506685e+104
 1.19850914e+114
 4.11828081e+86
 1.37093617e+92
 4.89950068e+90
 6.67859747e+68
 6.92001404e+84
 4.90562269e+88
 1.58311872e+79
 2.92343644e+89
 5.21161798e+92
 5.48750186e+107
 6.94617744e+105
 4.18166668e+83
 1.88199245e+77
 4.49943996e+76
 3.86669818e+77
 4.90223940e+99
 3.18305678e+93
 2.85608746e+78
 1.44519642e+88
 1.39790080e+100
 1.05557979e+99
 7.80185311e+82
 3.84845557e+80
 2.73864253e+91
 1.10043834e+84
 1.37940199e+98
 2.88392883e+137
 2.68037656e+112
 8.39603873e+101
 1.55392753e+111
 9.06275655e+139
 8.41132994e+99
 3.89160810e+89
 1.23505908e+108
 5.51939067e+107
 7.49543895e+114
 2.37450007e+149
 1.08197222e+150
 2.97729794e+126
 9.13037804e+126
 2.57177851e+133
 7.21418556e+170
 8.07778075e+156
 5.47686330e+132
 1.17064222e+132
 2.13872830e+127
 3.47974700e+108
 4.07690900e+101
 5.14470454e+89
 3.82555167e+82
 1.12650848e+77
 4.84046154e+74
 3.01878347e+79
 6.74459801e+89
 6.89894023e+105
 1.84660148e+123
 3.02389602e+138
 4.42106802e+184
 1.07102997e+238
 1.28910198e+151
 3.04516865e+138
 2.24951982e+109
 8.38866866e+101
 3.57518673e+145
 3.37580391e+169
 2.17842732e+152
 2.25496310e+109
 1.57258380e+103
 4.69132895e+154
 5.19213026e+166
 2.94457421e+122
 2.26036670e+119
 2.90009052e+92
 4.09310000e+86
 1.53230567e+148
 1.90286738e+151
 1.12059895e+153
 1.91999294e+174
 6.79451130e+128
 5.98837517e+114
 3.59059449e+161
 4.14301495e+209
 1.08893055e+187
 1.11310916e+158
 5.78920540e+111
 5.17389251e+112
 2.23575085e+109
 8.45167473e+103
 3.14495037e+123
 5.19062657e+112
 7.34035575e+79
 2.37733227e+73
 5.21027344e+79
 4.83793404e+78
 2.33014167e+93
 3.56813266e+120
 1.91875917e+85
 2.05711081e+74
 2.25111332e+96
 1.98265875e+101
 2.14925497e+121
 Inf
 Inf
 9.54480564e+162
 1.47644001e+141
 1.68931214e+100
 1.64188708e+98
 3.00214136e+115
 1.47415724e+105
 3.38799489e+109
 2.10022772e+128
 9.97798432e+167
 1.01479361e+159
 2.51345615e+213
 Inf
 3.27133102e+134
 1.08855291e+94
 4.65134212e+121
 3.84517968e+153
 4.59888803e+157
 1.00605853e+168
 5.87934763e+162
 2.28089793e+173
 8.15457587e+184
 1.23830415e+169
 8.68583578e+131
 6.10645347e+121
 5.01496771e+127
 3.53080420e+142
 2.16600291e+152
 2.41311135e+91
 4.89723235e+90
 1.51533963e+108
 1.55118650e+91
 2.17819815e+88
 8.82709927e+91
 1.27947763e+121
 1.56988560e+164
 4.65967184e+111
 1.52165651e+78
 2.77224593e+75
 1.76919180e+91
 5.28115708e+110
 8.18246529e+100
 7.66115703e+115
 3.34696324e+222
 4.42941032e+205
 2.49282645e+159
 1.32869660e+177
 8.56746259e+150
 3.63230823e+145
 8.09890739e+184
 2.17034307e+178
 1.51299447e+118
 2.16019926e+129
 4.56905274e+157
 4.27172692e+138
 6.03887481e+159
 6.65818427e+178
 1.90407246e+131
 8.49650714e+105
 1.71771959e+142
 1.72759250e+165
 2.94048505e+137
 1.98678510e+116
 2.30200631e+108
 8.38624377e+101
 1.02325038e+87
 2.79527430e+108
 2.23982236e+173
 8.42503131e+138
 3.62320210e+102
 1.10123287e+112
 5.98447484e+120
 1.50595191e+115
 6.25286983e+102
 3.58287365e+120
 9.09320201e+139
 3.26744027e+139
 5.01348103e+148
 4.46553697e+117
 1.01755197e+108
 9.20593546e+123
 1.17021140e+139
 6.37357730e+180
 1.34788836e+173
 1.83270974e+200
 1.05397806e+221
 7.89616690e+136
 3.66084655e+162
 2.76902232e+202
 7.45443537e+190
 3.09928174e+191
 3.62380102e+180
 1.30293760e+188
 5.75672304e+202
 1.24234413e+178
 8.52166408e+166
 2.20861388e+156
 1.89988712e+207
 2.96566333e+267
 6.22217989e+239
 3.46078160e+222
 4.13588871e+229
 3.93341704e+190
 1.07881954e+165
 4.03950098e+177
 2.44690561e+184
 2.17014061e+178
 1.44696830e+195
 2.18191455e+196
 5.50796459e+132
 5.72616859e+135
 4.69158450e+131
 4.89731869e+152
 8.48503048e+196
 2.35575395e+134
 3.18877391e+116
 5.95171443e+94
 7.00329774e+84
 1.38089965e+101
 2.00882962e+107
 5.84193918e+101
 5.14741744e+109
 1.93384992e+111
 5.84874823e+101
 1.71572301e+122
 1.02964192e+131
 1.26286317e+111
 2.54076675e+150
 2.48557880e+142
 7.68662301e+113
 1.68779520e+117
 1.45963388e+141
 4.15216178e+206
 4.10137801e+208
 5.59133182e+233
 5.79704096e+202
 1.27993321e+214
 Inf
 8.60436802e+258
 1.18871588e+179
 2.10176886e+141
 5.73809523e+135
 7.33936797e+190
 1.05848116e+301
 Inf
 1.58987009e+277
 4.66929281e+157
 1.90683673e+151
 7.37530030e+190
 2.28727546e+167
 3.41973171e+148
 1.54487026e+201
 1.05793952e+268
 8.03039343e+172
 3.22491974e+134
 1.73459503e+142
 6.91810767e+224
 6.48024942e+180
 6.56001093e+116
 1.23275831e+116
 1.21605611e+105
 2.79885827e+110
 5.16822388e+126
 3.73063739e+93
 2.56877626e+78
 1.40433147e+83
 9.07012876e+79
 4.88633461e+71
 4.45115259e+98
 4.19559993e+138
 1.31369388e+120
 1.83772397e+110
 1.00561542e+102
 1.88901668e+103
 2.80496892e+151
 9.32707759e+155
 3.94634259e+126
 1.16104316e+182
 4.16333637e+209
 1.46544700e+161
 2.17435073e+132
 3.78467974e+114
 1.83870711e+125
 4.46265981e+168
 3.04641621e+169
 7.84621565e+136
 8.21236748e+144
 1.44125744e+152
 6.82562313e+107
 3.98892950e+103
 5.03260556e+191
 Inf
 Inf
 6.66818715e+201
 2.83344767e+120
 2.51331249e+03
 2.51840814e+03
 2.51690996e+03
 2.51369562e+03
 2.51346117e+03
 Inf
 Inf
 Inf
 Inf
 2.33028161e+173
 5.06799327e+127
 1.35543466e+107
 3.18678840e+94
 1.19837978e+124
 3.79916126e+124
 7.65573965e+113
 1.36899193e+167
 5.87844324e+162
 1.77654051e+119
 1.95254640e+98
 3.70338677e+93
 8.66725954e+95
 3.13415343e+123
 4.23669368e+138
 3.37664062e+156
 2.04036073e+169
 9.19656688e+139
 4.05235658e+229
 Inf
 Inf
 Inf
 Inf
 Inf
 2.20708366e+300
 2.27994557e+204
 8.55585844e+166
 3.88995778e+153
 2.55129454e+164
 5.15752770e+116
 5.21965479e+149
 1.41023962e+246
 Inf
 Inf
 2.05530512e+223
 4.30857444e+138
 4.40300571e+134
 1.39644764e+131
 1.11472891e+153
 2.67229202e+158
 2.74684985e+124
 6.00644429e+120
 8.99189666e+128
 2.51256646e+116
 8.28085728e+104
 2.16230268e+105
 1.18882117e+115
 1.16843160e+101
 3.37387779e+100
 4.83397917e+113
 2.30690083e+98
 1.69391119e+89
 1.19643450e+102
 4.66064517e+124
 1.21260406e+142
 1.31147072e+144
 3.21414299e+125
 3.92022982e+126
 1.61264041e+146
 2.10320679e+137
 8.63328852e+131
 5.95434303e+138
 1.14715194e+135
 6.49880796e+112
 1.71255778e+61
 5.80739226e+46
 6.78373224e+47
 2.10058048e+47
 1.74170458e+60
 2.19319767e+106
 4.54242943e+76
 3.68994558e+29
 9.60615285e+27
 3.26625499e+42
 7.20214446e+45
 6.80766464e+44
 7.15734246e+46
 1.94689100e+57
 1.15382117e+54
 7.20597192e+46
 2.43516111e+48
 4.64790770e+51
 7.60645951e+50
 1.46563601e+51
 1.06281915e+49
 4.86416985e+51
 2.51258236e+58
 9.21749318e+51
 1.72805831e+49
 1.36010304e+53
 6.30581803e+54
 1.43234568e+53
 4.62759981e+49
 6.06518224e+27
 3.23458569e+28
 7.32987304e+58
 1.05371486e+55
 2.54598118e+47
 8.51618284e+54
 1.29019405e+55
 9.79807558e+52
 5.41912035e+53
 1.48303494e+57
 5.83647064e+59
 1.59304125e+58
 1.17736714e+64
 4.11580547e+73
 1.54674304e+72
 1.05082400e+56
 6.00553103e+54
 2.19089314e+57
 1.05262917e+55
 2.98564229e+51
 1.40301015e+51
 5.83372148e+51
 6.02133798e+58
 1.62470300e+66
 2.13008365e+62
 1.45706543e+64
 3.40909425e+71
 2.83019023e+78
 4.79253056e+84
 1.54758702e+75
 4.99005704e+73
 4.32261063e+87
 2.56372994e+78
 3.61369435e+70
 2.84875021e+59
 3.19545470e+61
 9.63856036e+67
 5.73549262e+58
 5.49894449e+59
 6.05549417e+58
 1.33654223e+62
 6.17709505e+62
 8.35205165e+50
 3.49160561e+50
 7.02568479e+53
 2.00037732e+51
 7.17041268e+55
 8.89880320e+60
 1.67564329e+64
 2.75544654e+63
 2.07344459e+64
 3.27808285e+74
 1.13722360e+68
 3.70676332e+69
 2.24637675e+74
 7.87283743e+69
 7.06211762e+67
 2.04622941e+66
 1.00402622e+80
 5.10192821e+89
 1.00120270e+91
 1.42202236e+79
 3.72266601e+65
 1.04589696e+68
 4.95492401e+76
 6.61086503e+73
 3.13906728e+71
 7.06767770e+67
 1.41347580e+70
 1.49970335e+78
 1.86964706e+81
 1.14785767e+85
 3.14561152e+73
 6.57015090e+70
 3.35950120e+79
 1.36072032e+90
 4.29888235e+93
 5.64190740e+88
 9.23294099e+78
 1.18257348e+67
 9.98733063e+64
 8.93900404e+63
 5.99770080e+70
 2.41897766e+72
 3.90347441e+61
 3.11983772e+55
 1.09885205e+56
 1.06602122e+65
 1.13581995e+63
 1.17607670e+72
 3.36184617e+79
 1.55018781e+65
 1.91119471e+69
 2.90712866e+84
 1.87516327e+103
 2.02454094e+154
 3.21483852e+134
 4.99563160e+99
 4.53486739e+76
 4.14378310e+73
 4.66093894e+70
 5.77339378e+60
 1.55702030e+80
 6.96333746e+84
 4.41180169e+74
 4.99420686e+72
 1.36546810e+64
 1.02891916e+64
 1.26128649e+75
 1.78306240e+84
 1.40801908e+83
 9.18580521e+76
 9.71606936e+67
 1.80272250e+61
 7.55530345e+62
 1.14382492e+75
 4.13444280e+83
 4.35541362e+78
 7.19934691e+72
 3.22925671e+67
 3.19953631e+58
 6.65760865e+54
 9.98623056e+54
 5.52525687e+55
 3.56835211e+53
 5.38290622e+50
 6.69133777e+53
 2.18935564e+57
 4.19010008e+60
 4.73420955e+69
 1.65529052e+70
 4.07563575e+67
 5.51605221e+70
 9.04433992e+71
 3.60335114e+70
 4.27247036e+70
 2.71892811e+74
 2.06297939e+78
 8.27876539e+76
 2.36951985e+67
 2.29078387e+55
 8.59313577e+58
 1.12453232e+73
 7.80608918e+68
 2.10005188e+63
 1.07794569e+60
 6.15760921e+55
 2.66107797e+59
 6.29849960e+71
 5.77472536e+65
 4.73330473e+62
 3.40092556e+69
 2.20949532e+72
 2.19022313e+80
 4.05003492e+69
 1.99188157e+56
 1.09624544e+64
 1.45320505e+104
 6.79929288e+187
 2.29177462e+173
 7.72349557e+113
 2.38383421e+100
 6.81883030e+93
 7.64058067e+83
 1.09914159e+93
 6.72123607e+107
 8.05996184e+112
 1.71933229e+94
 2.56930996e+78
 4.40051224e+74
 6.41265622e+88
 5.15494926e+102
 1.28761556e+89
 1.25390072e+94
 7.46575894e+102
 5.38707639e+95
 1.65804836e+86
 5.82160757e+93
 3.66422467e+107
 2.37983033e+101
 9.69224570e+115
 1.85618055e+106
 2.83496739e+100
 1.74925072e+119
 3.12290814e+97
 7.93838122e+93
 2.24371791e+106
 4.85115213e+152
 Inf
 Inf
 1.60252645e+292
 1.29364505e+214
 3.68591059e+140
 1.89034847e+207
 Inf
 2.50987891e+271
 Inf
 2.51328304e+03
 Inf
 5.70263780e+264
 1.75896120e+122
 1.90040625e+114
 2.37394461e+149
 Inf
 Inf
 6.83823637e+178
 1.55880024e+179
 4.56546131e+188
 2.51327954e+03
 2.51327897e+03
 1.31918082e+151
 4.05581534e+136
 7.32441335e+146
 4.66729971e+204
 2.09245330e+205
 6.97617469e+243
 Inf
 Inf
 Inf
 6.26859802e+277
 2.97288440e+238
 Inf
 Inf
 Inf
 2.51327595e+03
 2.51328789e+03
 Inf
 2.51327448e+03
 Inf
 7.74121482e+283
 7.06199293e+274
 1.44702623e+222
 2.02559222e+187
 1.05130059e+221
 Inf
 Inf
 3.44000773e+219
 2.51330136e+03
 2.51354451e+03
 2.51339870e+03
 2.51345774e+03
 2.51328077e+03
 Inf
 2.51336608e+03
 2.51340799e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.09988790e+204
 Inf
 Inf
 Inf
 Inf
 Inf
 2.82305057e+185
 7.99400512e+119
 2.13162963e+127
 2.21431522e+183
 6.15597590e+218
 3.26256124e+248
 Inf
 Inf
 7.36025416e+253
 4.35192234e+196
 4.98855828e+147
 1.23213695e+183
 Inf
 Inf
 3.53420845e+261
 1.76608505e+216
 5.19985708e+191
 9.05937112e+199
 1.32686575e+285
 1.00242486e+164
 1.00979055e+121
 6.00443062e+159
 Inf
 2.51328884e+03
 Inf
 Inf
 4.91300932e+273
 4.14683198e+207
 1.47530984e+234
 3.48503063e+291
 7.79444547e+296
 2.16076237e+300
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51334146e+03
 2.51338440e+03
 2.51336015e+03
 2.51339521e+03
 2.51329577e+03
 5.83152742e+195
 3.72483372e+160
 2.51327417e+03
 2.51348147e+03
 2.51354658e+03
 Inf
 Inf
 2.51356450e+03
 2.51351241e+03
 2.51347967e+03
 2.51331094e+03
 2.51336487e+03
 2.51350856e+03
 2.51332024e+03
 Inf
 1.75695677e+290
 Inf
 2.84546585e+235
 6.73832758e+178
 Inf
 Inf
 8.92528788e+298
 5.22488760e+203
 1.73317392e+158
 1.21941854e+127
 3.49029368e+117
 2.98862779e+135
 2.91115709e+129
 1.71783205e+145
 3.63374288e+179
 1.70415253e+155
 Inf
 Inf
 5.72764702e+195
 3.90232582e+173
 4.41758749e+220
 Inf
 2.51327745e+03
 Inf
 6.96968829e+197
 2.87143859e+224
 3.47882417e+291
 Inf
 7.85547965e+296
 1.10005414e+190
 4.23256204e+225
 1.03125237e+261
 1.58085648e+277
 Inf
 Inf
 Inf
 2.51763855e+286
 2.15814776e+300
 Inf
 Inf
 2.51330371e+03
 2.51332110e+03
 2.51327448e+03
 Inf
 Inf
 7.81125727e+130
 4.81526065e+133
 3.60104780e+297
 6.24071305e+239
 4.10117508e+136
 1.30968914e+144
 5.74070952e+171
 9.25967455e+185
 6.09864863e+159
 6.93253630e+126
 1.68363084e+155
 1.22291094e+247
 3.97143270e+237
 9.30565124e+160
 4.41952509e+143
 6.61578616e+164
 Inf
 Inf
 Inf
 2.51356130e+03
 2.51338373e+03
 Inf
 Inf
 3.55977321e+291
 2.42310040e+252
 7.27491724e+294
 Inf
 Inf
 7.90724531e+290
 Inf
 2.51327527e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 8.38974182e+250
 Inf
 Inf
 2.17688056e+233
 5.69026493e+136
 3.68089129e+160
 1.02486656e+120
 4.19632289e+109
 9.54402362e+171
 1.14573488e+181
 1.07718553e+165
 8.44932479e+122
 1.31117150e+103
 6.22973975e+102
 8.26880358e+138
 1.44793139e+234
 4.84604057e+273
 Inf
 Inf
 2.51328362e+03
 2.51334198e+03
 Inf
 Inf
 2.51327435e+03
 2.51328957e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.56528402e+271
 Inf
 2.51327925e+03
 Inf
 1.60420200e+280
 Inf
 Inf
 3.53844148e+291
 Inf
 1.30027332e+273
 1.55169947e+106
 3.18631904e+105
 Inf
 Inf
 2.51329849e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327968e+03
 Inf
 Inf
 2.51336668e+03
 2.51337160e+03
 2.51335441e+03
 2.51327640e+03
 Inf
 2.51333690e+03
 2.51328029e+03
 2.51327587e+03
 Inf
 5.11785131e+148
 1.07354232e+248
 2.73241585e+198
 3.67967677e+304
 2.51328720e+03
 Inf
 4.46701541e+299
 Inf
 Inf
 2.42813600e+266
 3.23068026e+166
 9.53582733e+159
 2.39484394e+163
 1.18627384e+203
 Inf
 Inf
 Inf
 2.51329462e+03
 2.51329818e+03
 2.51328812e+03
 Inf
 Inf
 Inf
 Inf
 7.00310297e+182
 4.87441793e+103
 2.41515931e+104
 2.09551351e+128
 1.06643754e+125
 3.10572413e+130
 4.94946108e+122
 1.69204350e+117
 2.41956373e+123
 8.18002180e+144
 2.07917518e+211
 9.24486243e+216
 1.91222878e+131
 8.25503035e+92
 2.42857999e+95
 2.36992336e+101
 1.02501049e+106
 1.88802384e+194
 9.06338457e+199
 1.22249735e+102
 1.82753114e+110
 1.08739561e+123
 8.14686736e+94
 5.36238248e+74
 1.35318043e+78
 1.57968275e+84
 6.74220433e+83
 1.14299995e+79
 2.42467647e+86
 1.21798044e+116
 8.35588449e+118
 4.61911112e+111
 1.87359015e+133
 1.72042686e+150
 1.02310213e+120
 3.02428481e+115
 2.15439611e+138
 5.45598426e+132
 1.68674362e+100
 6.05453404e+106
 4.19294217e+125
 4.65568725e+120
 4.30814234e+110
 1.34945584e+107
 7.29801861e+125
 2.92102916e+122
 2.38823224e+114
 4.68180621e+124
 7.36922690e+152
 3.84589672e+115
 1.58224341e+132
 2.59981823e+218
 1.42389935e+191
 7.39016468e+235
 1.55213851e+294
 5.58562282e+264
 2.53830592e+145
 1.40817202e+125
 3.12504507e+118
 4.99162144e+106
 3.70774902e+96
 2.02522663e+83
 9.07055800e+79
 1.40534816e+83
 2.61513455e+97
 4.34136939e+134
 5.24517190e+129
 6.88544166e+100
 2.81202880e+108
 2.98128586e+111
 4.92844936e+90
 1.36731675e+90
 4.95140581e+127
 5.67726371e+150
 7.94968994e+121
 2.39715572e+115
 2.32109851e+160
 5.57857624e+285
 4.52210685e+199
 2.61363406e+155
 1.15118226e+135
 Inf
 2.51339246e+03
 2.51338437e+03
 Inf
 1.13495499e+196
 1.15049206e+180
 1.21828056e+129
 2.48987800e+145
 1.16752483e+179
 5.71074624e+130
 1.11046785e+107
 1.56504837e+135
 6.79508435e+182
 1.96055104e+111
 9.14689429e+79
 3.13946551e+73
 7.36852453e+87
 3.19136624e+90
 1.96723106e+79
 8.12339119e+92
 1.00595735e+120
 2.99103824e+135
 4.04470701e+116
 3.18538788e+104
 6.06889366e+113
 1.60921368e+129
 5.78717139e+160
 1.07912124e+187
 7.31762275e+154
 1.43335204e+156
 1.92108717e+157
 2.17332563e+152
 2.40045608e+149
 4.61059258e+139
 2.24568311e+126
 1.56477477e+116
 3.48003996e+117
 1.89762617e+115
 4.64197018e+120
 3.88273811e+113
 1.20664944e+102
 1.50340288e+114
 3.51487158e+142
 1.85217469e+125
 6.39618263e+109
 1.93395497e+111
 1.50820595e+114
 1.04469832e+117
 3.31771413e+103
 5.65960352e+88
 2.77081540e+86
 4.91336170e+91
 4.26522345e+110
 2.49974982e+116
 2.80869634e+110
 7.86393162e+109
 3.11103392e+118
 9.23808431e+123
 1.19553474e+115
 9.46207830e+114
 1.26203250e+113
 3.15541346e+123
 1.19539476e+115
 2.24280508e+97
 1.80541901e+109
 1.27801372e+140
 9.79769268e+115
 2.16053980e+121
 1.70931938e+130
 1.28296224e+88
 1.16114805e+87
 2.75839172e+120
 1.28325086e+140
 1.69888027e+117
 8.30231271e+107
 7.93200491e+156
 9.47860885e+210
 5.26433738e+126
 3.77468187e+127
 2.92230329e+122
 4.69807004e+86
 1.57190080e+90
 7.12602810e+117
 3.83052823e+190
 8.55815753e+196
 4.08120142e+116
 5.20438310e+102
 4.95382548e+146
 1.09465828e+103
 1.02074863e+85
 5.47189582e+125
 8.30282532e+134
 4.66612346e+120
 3.75934797e+128
 2.35093407e+146
 5.18145948e+166
 8.26487877e+144
 7.37464299e+125
 3.51519271e+133
 2.91202651e+136
 1.64995758e+139
 4.00724287e+132
 1.20330014e+109
 3.15105377e+123
 4.50810584e+165
 2.32011724e+148
 3.37831980e+169
 1.66022241e+168
 5.89666573e+153
 2.29579765e+161
 3.18739286e+166
 1.35792317e+154
 1.07963373e+119
 2.66504256e+119
 2.89789956e+129
 1.50033262e+118
 3.17589198e+116
 4.01904237e+136
 7.86588144e+172
 1.12536725e+153
 4.01887949e+132
 6.31346898e+143
 9.66645464e+171
 1.27872804e+151
 2.56103791e+153
 5.27699838e+145
 4.72514270e+121
 3.89245943e+129
 1.95933618e+89
 3.82494191e+82
 5.25751620e+110
 9.64804926e+125
 2.51336608e+03
 2.51335106e+03
 3.03921158e+136
 5.01429505e+146
 3.81693505e+122
 1.91927858e+88
 4.04661769e+101
 7.90720122e+156
 1.45742662e+234
 6.48709291e+180
 3.03921191e+189
 1.71975482e+225
 4.74357154e+204
 6.67046898e+270
 2.30596848e+212
 1.92220284e+207
 5.06179067e+185
 1.10593436e+136
 1.38235917e+133
 1.45686687e+176
 1.64219859e+172
 3.84703126e+150
 4.39306147e+176
 1.62914146e+149
 3.74667228e+119
 2.23044351e+212
 5.52209979e+264
 4.74073979e+172
 3.88710649e+173
 7.29586832e+142
 1.06630178e+148
 6.12721388e+121
 1.48720898e+110
 3.71067792e+119
 2.73629834e+117
 3.24608537e+139
 4.75449232e+154
 2.18535719e+120
 2.75689768e+106
 6.06046705e+121
 2.71084023e+144
 7.25843934e+147
 1.07375187e+147
 9.82867790e+191
 8.27071235e+222
 1.13822632e+213
 1.35438540e+173
 4.57711764e+98
 1.27348192e+88
 2.47671784e+102
 3.50883500e+99
 1.88654955e+114
 2.23941050e+122
 2.17283540e+105
 1.01382437e+108
 7.86355545e+121
 7.90398313e+119
 2.83293243e+127
 2.30615798e+130
 1.01890417e+120
 2.08104829e+182
 Inf
 8.19990244e+156
 2.27885270e+106
 4.41789490e+117
 2.81166750e+128
 7.03476427e+101
 1.64280189e+98
 1.89685662e+118
 9.10665152e+126
 2.12589124e+143
 1.21692259e+124
 1.48805958e+110
 1.49885455e+93
 1.51316047e+87
 1.35686646e+97
 5.87759732e+138
 6.11878725e+163
 5.99554971e+138
 8.54129154e+141
 3.03959737e+115
 6.47980035e+116
 1.42087159e+123
 1.06493654e+125
 8.10486224e+124
 5.04393819e+142
 5.02216597e+146
 1.28667888e+126
 2.73699998e+172
 8.02403395e+238
 1.47001232e+161
 8.40792509e+138
 1.89064633e+131
 7.42166796e+132
 9.08527749e+143
 6.61160333e+133
 1.23622354e+157
 3.17276728e+201
 4.95972523e+175
 2.86325937e+151
 2.02265703e+180
 1.81719429e+274
 Inf
 2.51334618e+03
 2.51348329e+03
 2.51365779e+03
 2.51375022e+03
 2.51340010e+03
 2.51330039e+03
 2.51364194e+03
 2.51381397e+03
 2.51388637e+03
 2.51369304e+03
 2.51341387e+03
 2.51340224e+03
 2.51356989e+03
 2.51367649e+03
 2.51395018e+03
 2.51400355e+03
 2.51368536e+03
 2.51358080e+03
 2.51336608e+03
 2.51328957e+03
 2.51332067e+03
 2.51349063e+03
 2.51375159e+03
 2.51390993e+03
 2.51431468e+03
 2.51404831e+03
 2.51369176e+03
 2.51344519e+03
 2.51339042e+03
 2.51440372e+03
 2.51468344e+03
 2.51484845e+03
 2.51477928e+03
 2.51379656e+03
 2.51375994e+03
 2.51352922e+03
 2.51331897e+03
 2.51336547e+03
 2.51341761e+03
 2.51332551e+03
 Inf
 Inf
 2.51327548e+03
 2.51328765e+03
 2.51377242e+03
 2.51459280e+03
 2.51557600e+03
 2.51478908e+03
 2.51350856e+03
 2.51376124e+03
 2.51395018e+03
 2.51424686e+03
 2.51476474e+03
 2.51441005e+03
 2.51427254e+03
 2.51425479e+03
 2.51466686e+03
 2.51483851e+03
 2.51467389e+03
 2.51533807e+03
 2.51571380e+03
 2.51501212e+03
 2.51397492e+03
 2.51353834e+03
 2.51370079e+03
 2.51365286e+03
 2.51357860e+03
 2.51374610e+03
 2.51391310e+03
 2.51431874e+03
 2.51423896e+03
 2.51378798e+03
 2.51339110e+03
 2.51330795e+03
 2.51346031e+03
 2.51349716e+03
 2.51360895e+03
 2.51375296e+03
 2.51354761e+03
 2.51371257e+03
 2.51367144e+03
 2.51351146e+03
 2.51410895e+03
 2.51469045e+03
 2.51432686e+03
 2.51411260e+03
 2.51400182e+03
 2.51388948e+03
 2.51380089e+03
 2.51366645e+03
 2.51356024e+03
 2.51386324e+03
 2.51424686e+03
 2.51364921e+03
 2.51367014e+03
 2.51438059e+03
 2.51485846e+03
 2.51509173e+03
 2.51480381e+03
 2.51448765e+03
 2.51397993e+03
 2.51371126e+03
 2.51387705e+03
 2.51428248e+03
 2.51425844e+03
 2.51382718e+03
 2.51364436e+03
 2.51353528e+03
 2.51338374e+03
 2.51336132e+03
 2.51362172e+03
 2.51404833e+03
 2.50296166e+03
 2.51338308e+03
 2.51333891e+03
 2.51360895e+03
 2.51335783e+03
 2.51351730e+03
 2.51444208e+03
 2.51447940e+03
 2.51439107e+03
 2.51417187e+03
 2.51365287e+03
 2.51354762e+03
 2.51379369e+03
 2.51419082e+03
 2.51455427e+03
 2.51423901e+03
 2.51405887e+03
 2.51430051e+03
 2.51418888e+03
 2.51398495e+03
 2.51410350e+03
 2.51388015e+03
 2.51359754e+03
 2.51389886e+03
 2.51410172e+03
 1.44844443e+52
 2.58258132e+20
 1.67307031e+17
 4.30908505e+18
 6.80997249e+47
 1.73010105e+50
 2.48811895e+20
 4.26383354e+17
 3.16121614e+16
 2.13166652e+17
 2.50398096e+17
 5.26566997e+17
 5.48331259e+18
 1.83303071e+17
 2.88882772e+16
 2.02013495e+16
 1.29385095e+16
 2.19408486e+16
 4.01579152e+16
 7.86435663e+19
 3.09491581e+44
 2.09780693e+58
 5.14828281e+21
 6.91502012e+15
 2.01428903e+16
 8.90580822e+15
 1.00502513e+16
 1.44162285e+16
 1.27557259e+16
 8.38719345e+15
 1.44079554e+19
 7.80287719e+42
 1.94878411e+59
 2.03661120e+21
 4.87178860e+15
 1.80406771e+16
 1.70342185e+16
 3.34677587e+15
 7.01452432e+15
 1.05850810e+16
 3.36307781e+15
 1.22862873e+17
 5.13837520e+31
 5.55111112e+39
 9.57239980e+18
 5.21382083e+15
 9.87564101e+15
 3.06477525e+15
 1.45491985e+15
 2.13990861e+15
 1.64767333e+15
 2.37718252e+13
 5.85925277e+12
 1.76440883e+23
 1.08202221e+43
 7.09428760e+15
 7.37485266e+11
 3.27831931e+12
 4.64746870e+11
 4.11628410e+11
 6.16008042e+11
 2.59996373e+12
 7.60657895e+11
 1.85124279e+12
 1.26132186e+22
 7.61845767e+52
 2.48353814e+16
 8.10667247e+11
 2.67794817e+12
 4.47280131e+11
 4.96792814e+11
 5.67246413e+11
 3.84703944e+11
 4.43480954e+11
 1.86404393e+12
 2.14939944e+22
 1.66799912e+42
 1.16851703e+15
 2.61382314e+11
 4.40653119e+11
 5.55460289e+11
 3.91092132e+11
 3.55795771e+11
 3.26702242e+11
 3.71604419e+11
 1.10038995e+12
 1.62383565e+21
 8.17847164e+44
 5.46911369e+15
 6.33157399e+11
 2.96222819e+12
 3.72232414e+11
 4.14289505e+11
 3.83810534e+11
 3.36584534e+11
 5.80911646e+11
 3.12547468e+12
 1.28365436e+22
 1.98209041e+45
 4.77773444e+15
 3.82989629e+11
 2.19920310e+12
 3.40243890e+11
 3.50665329e+11
 8.41288458e+20
 2.51359981e+03
 8.57622450e+22
 1.08792232e+17
 1.39271060e+42
 1.23524325e+24
 2.52854591e+29
 2.51328286e+03
 9.29005059e+24
 3.18196063e+16
 4.60700372e+19
 1.48952385e+17
 2.12339704e+24
 1.08090309e+31
 1.44329667e+20
 1.52442766e+19
 1.49734656e+35
 Inf
 2.51348148e+03
 3.45484388e+103
 1.68165828e+48
 5.36739720e+48
 9.15408291e+41
 2.96966284e+32
 1.79106714e+20
 3.70336414e+30
 3.96100936e+19
 5.55279166e+10
 7.90830339e+12
 1.74546544e+34
 8.74224700e+19
 7.77385233e+10
 2.84636356e+13
 1.59851054e+40
 2.51398329e+03
 2.51345266e+03
 3.51237438e+21
 7.83796670e+14
 9.29609041e+41
 6.85458431e+38
 4.46269425e+40
 2.51390517e+03
 4.35576148e+23
 5.03567726e+15
 8.53933357e+19
 4.65201818e+16
 3.00212347e+28
 1.20332679e+44
 1.28935153e+21
 3.25507744e+19
 4.08687287e+20
 6.31230287e+41
 2.51328630e+03
 1.96578487e+42
 1.73184397e+22
 3.03520443e+20
 1.38269869e+21
 9.76225159e+21
 1.81949306e+24
 3.74676386e+23
 2.97980798e+19
 1.56349116e+17
 2.68292054e+17
 1.50700675e+40
 4.63249730e+80
 5.49824965e+15
 6.40917970e+10
 1.71425082e+16
 1.62799978e+80
 8.00098761e+17
 3.67180574e+10
 4.56097311e+15
 1.93541070e+40
 2.35124166e+102
 2.51400181e+03
 2.51419483e+03
 1.66146260e+23
 3.83750666e+15
 4.21548506e+53
 2.51337535e+03
 3.81273868e+32
 6.93949727e+17
 6.12803460e+18
 3.83917523e+18
 2.06078483e+24
 1.48674214e+21
 3.78568183e+14
 1.62697640e+17
 7.44636632e+20
 5.95633224e+19
 1.10150437e+21
 3.16206182e+20
 1.04746940e+21
 6.22832096e+21
 1.71274842e+21
 1.49634381e+21
 2.13423992e+21
 1.19644664e+21
 7.29957362e+20
 3.05830003e+21
 5.41375637e+21
 2.94133550e+21
 9.52138618e+20
 2.35601780e+20
 6.05510504e+20
 8.45808279e+20
 4.20577881e+20
 5.33759976e+20
 1.86454607e+43
 2.51355811e+03
 2.57284929e+33
 5.24873918e+15
 4.23193010e+29
 2.51359079e+03
 2.51329787e+03
 2.51352422e+03
 2.51409629e+03
 2.51378370e+03
 2.51340438e+03
 2.51346462e+03
 2.51342140e+03
 Inf
 2.51331982e+03
 2.51333591e+03
 2.51328544e+03
 2.51338308e+03
 2.51329322e+03
 2.51328812e+03
 2.51336015e+03
 Inf
 Inf
 2.51338374e+03
 2.51335668e+03
 2.51345689e+03
 2.51345348e+03
 2.51349998e+03
 2.51350569e+03
 2.51330071e+03
 2.51333297e+03
 2.51370863e+03
 2.51405711e+03
 2.51383757e+03
 2.51349341e+03
 2.51345436e+03
 2.51339730e+03
 2.51362643e+03
 2.51411624e+03
 2.51384656e+03
 2.51368409e+03
 2.51360322e+03
 2.51350664e+03
 2.51351631e+03
 2.51376264e+03
 2.51425669e+03
 2.51375021e+03
 2.51352922e+03
 2.51376961e+03
 2.51358967e+03
 2.51341837e+03
 2.51330474e+03
 2.51333443e+03
 2.51343626e+03
 2.51360551e+03
 2.51345183e+03
 2.51328812e+03
 2.51330236e+03
 2.51330943e+03
 2.51328441e+03
 2.51334942e+03
 2.51371257e+03
 2.51357096e+03
 2.51348329e+03
 2.51352025e+03
 2.51329548e+03
 2.51329109e+03
 2.51354970e+03
 2.51364075e+03
 2.51360894e+03
 2.51360323e+03
 2.51409629e+03
 2.51625310e+03
 2.51567947e+03
 2.51441219e+03
 2.51532663e+03
 2.51692187e+03
 2.51706092e+03
 2.51653035e+03
 2.51521431e+03
 2.51370471e+03
 2.51329578e+03
 Inf
 2.51329849e+03
 2.51367271e+03
 2.51328231e+03
 2.51328502e+03
 2.51350187e+03
 2.51332240e+03
 2.51334249e+03
 2.51347876e+03
 Inf
 2.51327417e+03
 2.51348694e+03
 2.51327527e+03
 Inf
 2.51342913e+03
 2.51334043e+03
 2.51327435e+03
 2.51482108e+03
 2.51974723e+03
 2.51697118e+03
 2.51447672e+03
 2.51419087e+03
 2.51414388e+03
 2.51336015e+03
 Inf
 2.51346549e+03
 2.51406063e+03
 2.51388168e+03
 2.51371918e+03
 2.51358080e+03
 2.51342602e+03
 2.51350472e+03
 2.51363236e+03
 2.51389887e+03
 2.51408373e+03
 2.51384057e+03
 2.51389257e+03
 2.51354347e+03
 2.51331366e+03
 2.51353123e+03
 2.51382867e+03
 2.51365042e+03
 2.51351731e+03
 2.51338439e+03
 2.51337790e+03
 2.51346376e+03
 2.51344191e+03
 2.51332965e+03
 Inf
 1.02191545e+192
 2.52516793e+92
 1.28324538e+89
 1.20456499e+105
 1.23056529e+104
 1.19825823e+114
 7.05017695e+123
 3.48270030e+110
 1.89408781e+103
 1.57231178e+113
 2.95003730e+126
 1.57549771e+135
 2.51330440e+03
 2.51327659e+03
 2.31126352e+109
 8.86719557e+111
 1.55410281e+147
 3.63695212e+181
 5.05519994e+148
 2.92228990e+136
 3.34121140e+197
 Inf
 2.47005386e+257
 4.24480105e+206
 7.09169470e+192
 3.01692966e+81
 4.44132416e+89
 2.44057093e+258
 1.10604062e+199
 6.64926915e+173
 8.81557618e+208
 2.13061183e+300
 9.35717498e+259
 1.14334491e+213
 1.71532700e+240
 1.45287312e+219
 1.51075571e+163
 6.14292080e+121
 1.57778715e+103
 1.98744355e+101
 3.15800988e+116
 9.58567695e+113
 1.25206340e+106
 8.44315630e+103
 8.34061503e+99
 7.83566653e+109
 4.99547209e+127
 5.44115651e+132
 5.20181737e+112
 8.22047587e+116
 3.02169376e+115
 2.41823775e+123
 1.76257613e+119
 5.20788439e+102
 2.88224443e+119
 2.54533442e+131
 1.40382544e+125
 1.18446942e+145
 3.81573856e+122
 1.00131306e+121
 1.14158792e+135
 1.98577574e+116
 6.36747566e+116
 8.43888219e+150
 3.87718956e+153
 4.97312712e+122
 2.02173293e+107
 3.46093794e+108
 4.80780460e+115
 3.23317477e+98
 1.06698531e+81
 8.11585333e+79
 7.58031612e+115
 1.52489169e+201
 1.31036527e+202
 4.37654166e+170
 8.16592394e+112
 2.99976640e+102
 1.90015930e+118
 3.88328510e+105
 8.44020867e+105
 1.99616007e+100
 1.82792019e+54
 4.73811717e+60
 2.00690918e+137
 5.96275650e+138
 2.91218588e+119
 1.25894023e+99
 3.74717507e+114
 1.02712066e+131
 1.23879448e+104
 1.01339418e+108
 2.82157074e+127
 2.08143580e+124
 1.09722798e+158
 4.37401649e+205
 2.99659949e+141
 1.76996804e+119
 5.12665132e+140
 6.90752187e+126
 4.33247783e+88
 8.77231037e+127
 Inf
 Inf
 1.74063552e+186
 3.46899476e+146
 9.06076706e+133
 1.01264238e+133
 4.13841109e+158
 3.68096666e+162
 4.06454161e+136
 9.30493995e+169
 6.67316165e+178
 3.77847288e+194
 2.57060531e+164
 1.91586486e+114
 1.47365795e+105
 4.34881569e+143
 4.81204500e+245
 4.94934993e+217
 2.09251820e+61
 1.96797691e+57
 1.79164266e+144
 5.01917398e+148
 1.07861300e+119
 1.79674410e+91
 2.72581806e+79
 2.48120003e+88
 3.38625176e+75
 3.00248066e+76
 3.79085969e+104
 3.60666054e+121
 4.19351234e+141
 4.07998742e+137
 2.17158033e+129
 3.76845776e+128
 8.38446266e+118
 3.47260868e+108
 2.63389531e+158
 5.37501453e+110
 4.92749857e+90
 1.85307618e+144
 5.74095735e+171
 2.69736903e+191
 4.47619733e+184
 1.42626663e+96
 1.79474525e+50
 2.72736728e+63
 1.05259842e+136
 4.25130047e+138
 1.98606554e+113
 7.41902691e+106
 3.58842013e+120
 6.42880963e+201
 2.45940743e+271
 1.43193139e+191
 1.91531203e+207
 5.79932178e+244
 9.25992664e+161
 5.10239262e+46
 3.37615841e+53
 5.48041021e+239
 1.67630673e+168
 1.04160451e+141
 7.10697697e+157
 1.62516673e+146
 5.73513219e+68
 5.17134239e+69
 1.71293948e+93
 6.89226559e+86
 2.77750493e+57
 9.01106334e+61
 2.51588822e+191
 4.18527337e+49
 3.04824131e+43
 7.78632132e+77
 1.54764701e+48
 7.00477734e+52
 2.49291288e+89
 4.52104591e+76
 5.86087376e+77
 1.91984896e+96
 2.16416534e+104
 4.03179240e+137
 9.51664456e+114
 1.48239983e+89
 7.02594434e+92
 1.33653271e+91
 2.27389615e+130
 4.63541397e+172
 6.55338004e+116
 4.79493464e+133
 6.10946960e+163
 1.19546926e+145
 1.57107250e+116
 4.66324564e+104
 2.41248479e+125
 1.61203051e+146
 2.48330062e+142
 3.43248517e+101
 1.19711887e+114
 1.50739154e+136
 7.27682173e+39
 5.55774609e+40
 1.05525697e+32
 1.60071988e+33
 1.65048699e+151
 1.70487021e+134
 2.90931428e+119
 6.00093515e+159
 3.36515036e+197
 6.70593550e+178
 1.73712667e+150
 9.21154579e+185
 5.75433128e+202
 5.26384397e+156
 2.30771332e+157
 6.08756102e+155
 7.27293420e+142
 2.10537603e+136
 6.99500445e+105
 3.83284591e+87
 1.50904002e+106
 6.04332321e+163
 2.27618659e+167
 9.16638053e+161
 5.63718271e+174
 1.12829238e+213
 3.36840346e+215
 3.45901880e+171
 1.46367963e+234
 Inf
 3.16078817e+260
 5.36163407e+35
 9.61914791e+37
 2.44285655e+195
 2.85316424e+128
 4.70086719e+124
 1.03135814e+141
 5.84643234e+103
 2.09519939e+99
 4.09603209e+135
 2.16200054e+152
 7.37748287e+190
 8.55865574e+196
 6.99837338e+187
 2.30761905e+253
 4.61287863e+188
 2.78673596e+106
 6.99640998e+103
 1.68860279e+57
 8.20323754e+71
 3.74110315e+227
 1.01709081e+168
 3.80813472e+114
 4.04226823e+65
 6.30548198e+116
 Inf
 Inf
 1.65919835e+296
 1.36412459e+68
 1.27066756e+67
 1.59143809e+197
 Inf
 3.72489741e+74
 1.83644574e+63
 5.35754729e+189
 6.69780282e+178
 3.99715572e+216
 5.77029023e+150
 3.35129510e+112
 5.21111295e+149
 4.53572345e+231
 8.90397667e+208
 9.95533293e+163
 2.81203062e+165
 1.16131831e+79
 3.81259967e+72
 4.96179760e+93
 1.19653882e+127
 1.11097418e+213
 1.65144799e+172
 7.48196160e+132
 4.16745511e+112
 1.00884713e+113
 7.87014725e+109
 1.20605042e+124
 8.48306043e+105
 1.30513236e+103
 1.22147231e+157
 6.14722817e+163
 9.88356680e+163
 1.85933162e+125
 5.98322493e+114
 7.19556228e+117
 5.20608103e+102
 7.84777954e+121
 1.68461550e+120
 5.10519152e+118
 4.97894072e+99
 2.07870481e+95
 2.12022713e+54
 3.49559251e+54
 2.31419526e+123
 2.15380928e+152
 2.10588164e+137
 8.12930993e+124
 1.17055244e+139
 6.32425008e+143
 1.68182206e+197
 Inf
 7.12504236e+224
 1.91186090e+133
 1.64861273e+139
 2.54178804e+164
 3.86858132e+234
 6.19643374e+239
 2.51489882e+142
 3.52987675e+133
 3.78568928e+114
 8.46253827e+105
 6.38256886e+158
 4.68382308e+204
 6.67277530e+133
 2.92123499e+137
 9.31569952e+162
 5.71595452e+137
 4.21313055e+141
 4.14861203e+158
 6.48012290e+122
 3.02347674e+138
 1.95846337e+210
 3.31825101e+174
 6.10825422e+155
 8.05383020e+156
 5.03795423e+146
 4.33044960e+170
 3.80495822e+289
 7.34046768e+253
 1.65853327e+172
 7.84145345e+257
 Inf
 2.28861255e+183
 2.98652241e+157
 2.82658580e+195
 1.89721781e+208
 5.87968341e+160
 4.16967206e+135
 2.22096363e+183
 4.63726131e+211
 2.33479345e+177
 1.04541141e+143
 2.43520694e+123
 1.42342351e+123
 1.71704715e+165
 1.04335091e+143
 1.03572170e+106
 2.30192421e+98
 4.61320226e+120
 1.00889110e+133
 6.23864508e+84
 8.46869766e+80
 4.85139699e+122
 3.35982470e+156
 1.28901543e+126
 3.99695987e+118
 1.46028599e+68
 1.33434013e+65
 2.43534668e+116
 4.82201126e+115
 8.22792767e+116
 1.03078053e+143
 6.48815642e+139
 2.16974686e+138
 2.82733944e+128
 4.03824510e+116
 1.20763186e+127
 6.68598199e+127
 1.38163734e+112
 2.10037974e+99
 2.24855511e+106
 4.95678272e+148
 3.96432496e+216
 4.86193728e+223
 4.09564596e+136
 5.80045906e+160
 4.06222002e+208
 2.29294092e+167
 8.26577631e+144
 5.74273397e+135
 1.61526343e+149
 5.02249388e+212
 9.09040955e+199
 1.01991318e+159
 2.39435171e+163
 1.70564761e+126
 2.09642761e+136
 1.68693089e+153
 5.82550425e+160
 5.14834145e+118
 3.35880911e+95
 1.40937939e+123
 1.67363247e+121
 2.12202190e+143
 1.69776930e+225
 7.44236245e+194
 8.18664488e+184
 3.66777761e+181
 4.08249707e+208
 2.96646800e+267
 7.27897605e+254
 3.97525364e+237
 1.31378808e+188
 7.61171818e+114
 3.11609199e+118
 3.60013450e+181
 7.86781790e+149
 1.18756773e+98
 1.20038155e+124
 2.28956555e+162
 9.12032226e+102
 2.06762596e+91
 7.84835216e+108
 4.76435104e+119
 1.07156997e+119
 1.57912813e+128
 4.99748585e+148
 2.20010819e+156
 5.03352534e+212
 7.34190609e+154
 2.46007219e+118
 1.37552988e+133
 2.73308248e+124
 3.77210582e+127
 1.56269884e+147
 2.31690754e+130
 2.16019201e+132
 2.54265551e+226
 1.43883150e+222
 8.31411966e+222
 1.83486844e+274
 1.60973069e+264
 8.35801324e+222
 6.66989125e+173
 7.41595636e+190
 9.32524408e+205
 7.42167613e+183
 1.28115087e+151
 4.92216353e+152
 7.90143091e+172
 9.69227976e+174
 6.43108984e+180
 2.17613638e+196
 3.31176296e+174
 4.03324052e+132
 1.23577120e+157
 3.64233558e+192
 9.41861394e+169
 8.59530581e+141
 4.25979185e+151
 1.16952242e+179
 3.03816242e+189
 1.34617084e+184
 2.24784076e+204
 Inf
 1.64187966e+296
 5.19108735e+193
 3.24665797e+248
 Inf
 8.41183907e+222
 3.00166010e+157
 2.06473327e+179
 4.86751195e+245
 4.80669830e+240
 2.34258792e+177
 3.56817554e+142
 2.18182311e+105
 1.86969839e+108
 8.44894068e+103
 3.88814255e+92
 7.57392286e+113
 2.73166124e+117
 1.50455808e+115
 6.84707602e+93
 4.26934012e+110
 1.09533568e+155
 2.93510476e+137
 3.20956879e+125
 1.20596733e+114
 7.31602037e+125
 2.56597526e+140
 1.71297020e+158
 5.56095932e+195
 3.44981854e+171
 5.73535281e+150
 7.67456541e+130
 4.83778529e+115
 4.85253699e+175
 1.42531361e+222
 1.07954145e+148
 2.05608679e+154
 4.44155694e+184
 3.69882476e+162
 1.70833171e+134
 9.12995248e+139
 1.38366426e+133
 3.53628425e+142
 1.10330642e+158
 1.95432485e+111
 7.56672337e+90
 1.35835821e+119
 2.28530711e+162
 1.07339365e+165
 4.84818133e+245
 1.56461069e+280
 4.52155708e+184
 4.34529958e+210
 3.76003711e+241
 2.13692350e+233
 Inf
 Inf
 Inf
 Inf
 5.00377728e+217
 2.37275085e+160
 Inf
 Inf
 Inf
 1.88735422e+270
 3.10366398e+260
 Inf
 2.75911382e+250
 Inf
 Inf
 2.40974175e+256
 6.45218016e+228
 Inf
 Inf
 2.51347110e+257
 4.51069969e+199
 1.05757744e+268
 Inf
 Inf
 Inf
 9.09820534e+206
 1.34984194e+184
 6.44003251e+151
 3.26753841e+152
 1.60237802e+189
 6.64646764e+270
 Inf
 Inf
 Inf
 1.95257487e+207
 3.82812267e+182
 7.48590511e+256
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327650e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327501e+03
 Inf
 Inf
 Inf
 2.51329491e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.37794347e+293
 4.38097813e+282
 1.57548298e+308
 2.37036109e+256
 Inf
 2.51333890e+03
 2.51348511e+03
 2.51336608e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.09539519e+204
 8.56139047e+175
 2.87050875e+214
 Inf
 2.41907648e+266
 3.43809962e+156
 8.48494425e+166
 2.73494095e+168
 1.46860060e+215
 Inf
 4.71746311e+263
 5.12710576e+212
 1.14210483e+218
 9.45330670e+162
 1.20253340e+166
 7.67383999e+251
 9.84017463e+252
 1.36242702e+202
 5.61110122e+195
 2.18216827e+196
 2.08966140e+205
 1.36969940e+193
 2.76193810e+235
 Inf
 7.08754065e+243
 Inf
 Inf
 3.79182356e+304
 Inf
 Inf
 9.85408659e+278
 Inf
 Inf
 Inf
 Inf
 Inf
 2.64506191e+226
 Inf
 Inf
 3.68308220e+180
 2.50469470e+251
 1.94354518e+305
 3.51845007e+291
 1.02927092e+306
 Inf
 Inf
 1.50205146e+234
 Inf
 2.51487346e+03
 2.51665006e+03
 2.51388791e+03
 2.51330405e+03
 Inf
 Inf
 3.17276415e+232
 Inf
 1.82148880e+298
 Inf
 Inf
 2.32807157e+254
 Inf
 1.47300210e+237
 1.02114684e+306
 2.36990169e+256
 1.24989460e+178
 2.67558568e+230
 2.59202594e+258
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51333992e+03
 2.51330405e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.25565820e+247
 5.64388898e+195
 Inf
 2.51334618e+03
 2.51327711e+03
 2.51331446e+03
 2.51333106e+03
 Inf
 Inf
 Inf
 2.51331133e+03
 2.51335726e+03
 2.51330039e+03
 2.51327422e+03
 2.51329911e+03
 2.51355074e+03
 2.51333890e+03
 2.51332642e+03
 2.51337725e+03
 Inf
 2.51328957e+03
 2.51340799e+03
 2.51335783e+03
 2.51334459e+03
 2.51331249e+03
 2.51335052e+03
 2.51342293e+03
 2.51329911e+03
 2.51328675e+03
 2.51343546e+03
 2.51350187e+03
 2.51338572e+03
 2.51345520e+03
 2.51369950e+03
 2.51358967e+03
 2.51330405e+03
 2.51337982e+03
 2.51332284e+03
 3.53778181e+293
 5.42058528e+301
 Inf
 1.70476898e+245
 1.06635707e+268
 2.45535230e+278
 9.23613737e+271
 6.58325563e+214
 9.79510036e+171
 3.89722355e+190
 2.06024470e+190
 2.50308638e+221
 1.40228456e+167
 9.53702236e+159
 7.33090073e+235
 7.29238901e+253
 2.51330580e+03
 2.51331567e+03
 Inf
 7.11269740e+274
 Inf
 Inf
 Inf
 Inf
 1.83564752e+283
 6.97928711e+230
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327527e+03
 1.33713853e+273
 8.55041811e+258
 Inf
 Inf
 1.42109179e+303
 Inf
 Inf
 Inf
 1.56796466e+294
 Inf
 3.88032406e+268
 8.42791827e+266
 2.55920263e+213
 3.07749886e+260
 Inf
 Inf
 6.92577337e+265
 4.05169563e+227
 3.85921272e+289
 Inf
 Inf
 1.58982454e+294
 Inf
 Inf
 Inf
 2.51327507e+03
 Inf
 1.32208431e+214
 4.99136062e+269
 Inf
 3.82827586e+241
 2.55214082e+213
 3.20882181e+201
 2.43128047e+257
 Inf
 1.59706797e+308
 1.25332248e+169
 2.11239232e+182
 Inf
 2.83466356e+259
 2.51331813e+03
 2.51376265e+03
 2.51329241e+03
 2.51328178e+03
 2.51334726e+03
 Inf
 Inf
 2.51329083e+03
 2.51335052e+03
 2.51335442e+03
 2.51337789e+03
 2.51330509e+03
 2.51330759e+03
 2.51335385e+03
 2.51351731e+03
 2.51348147e+03
 Inf
 Inf
 2.51336249e+03
 2.51413275e+03
 2.51383458e+03
 2.51336073e+03
 2.51341165e+03
 2.51332153e+03
 Inf
 7.08866117e+230
 1.95240156e+194
 4.53514982e+168
 2.57010963e+153
 5.82576465e+160
 2.32272556e+130
 7.41992832e+132
 6.07884271e+167
 1.42247128e+222
 2.72015088e+191
 1.50536543e+163
 1.33913948e+184
 3.74651954e+167
 6.16072119e+163
 2.27623167e+167
 4.35141429e+170
 1.69408740e+197
 4.53710792e+168
 3.88385329e+173
 8.66359275e+298
 1.06336064e+282
 1.44693117e+246
 3.77243972e+200
 6.65074563e+173
 1.97721525e+236
 Inf
 4.11163952e+276
 8.90596197e+207
 3.40793132e+272
 4.35951249e+196
 2.76393575e+235
 Inf
 2.51334459e+03
 2.51341988e+03
 2.51342144e+03
 2.51331607e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329818e+03
 Inf
 2.51327417e+03
 2.51329696e+03
 2.51327869e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51417753e+03
 2.51366148e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328342e+03
 Inf
 Inf
 Inf
 Inf
 2.51330371e+03
 2.51334565e+03
 Inf
 Inf
 2.51327983e+03
 Inf
 Inf
 2.51329083e+03
 2.51328932e+03
 Inf
 7.70653741e+256
 Inf
 Inf
 Inf
 2.51329007e+03
 2.51327925e+03
 2.51237449e+03
 2.51331730e+03
 2.51330832e+03
 2.51328565e+03
 Inf
 Inf
 Inf
 Inf
 7.44483565e+253
 Inf
 Inf
 2.51332506e+03
 2.51340081e+03
 2.51335385e+03
 2.51328502e+03
 2.51327456e+03
 2.51327733e+03
 2.51332197e+03
 2.51330943e+03
 Inf
 2.51327897e+03
 2.51340366e+03
 2.51333297e+03
 2.51331939e+03
 2.51328675e+03
 2.51331855e+03
 2.51345775e+03
 2.51356237e+03
 2.51352821e+03
 2.51330303e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327415e+03
 Inf
 2.51327479e+03
 2.51329636e+03
 2.51330337e+03
 2.51328093e+03
 Inf
 Inf
 2.51343070e+03
 2.51330869e+03
 2.51338112e+03
 2.51345183e+03
 2.51391787e+03
 2.51539853e+03
 2.51513732e+03
 2.51547745e+03
 2.51532090e+03
 2.51534068e+03
 2.51536103e+03
 2.51509703e+03
 2.51522256e+03
 2.51494207e+03
 2.51510774e+03
 2.51486842e+03
 2.51456101e+03
 2.51468093e+03
 2.51465506e+03
 2.51450523e+03
 2.51490885e+03
 2.51568278e+03
 2.51529821e+03
 2.51536080e+03
 2.51471896e+03
 2.51453859e+03
 2.51550411e+03
 2.51551802e+03
 2.51554292e+03
 2.51541011e+03
 2.51527293e+03
 2.51548336e+03
 2.51489870e+03
 2.51463191e+03
 2.51508897e+03
 2.51533529e+03
 2.51527277e+03
 2.51492415e+03
 2.51521704e+03
 2.51602759e+03
 2.51600219e+03
 2.51491140e+03
 2.51480401e+03
 2.51515656e+03
 2.51527020e+03
 2.51465982e+03
 2.51353123e+03
 2.51332596e+03
 2.51339246e+03
 2.51334198e+03
 2.51332506e+03
 2.51341686e+03
 2.51333890e+03
 2.51327780e+03
 Inf
 Inf
 2.51364073e+03
 2.51362161e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328249e+03
 2.51327792e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327659e+03
 2.51328860e+03
 2.51330236e+03
 2.51327756e+03
 2.51333941e+03
 2.51346987e+03
 2.51333492e+03
 2.51327432e+03
 Inf
 Inf
 Inf
 2.51327527e+03
 2.51328932e+03
 2.51327587e+03
 Inf
 Inf
 2.51327640e+03
 Inf
 2.51327438e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330007e+03
 2.51327869e+03
 Inf
 2.51329032e+03
 2.51330236e+03
 2.51327540e+03
 2.51327448e+03
 2.51332153e+03
 2.51331056e+03
 2.51327805e+03
 2.51332641e+03
 2.51346376e+03
 2.51330832e+03
 Inf
 2.51330440e+03
 2.51336729e+03
 2.51343387e+03
 2.51327690e+03
 Inf
 Inf
 Inf
 Inf
 3.23642291e+284
 1.59591591e+292
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327507e+03
 2.51327520e+03
 2.51327983e+03
 2.51332641e+03
 2.51337982e+03
 2.51332506e+03
 2.51328231e+03
 2.51327414e+03
 2.51333541e+03
 2.51337097e+03
 2.51327745e+03
 2.51329057e+03
 2.51328982e+03
 2.51328014e+03
 2.51328441e+03
 2.51327792e+03
 2.51327897e+03
 2.51328093e+03
 2.51333740e+03
 2.51329007e+03
 2.51327414e+03
 2.51332506e+03
 2.51333202e+03
 2.51333011e+03
 2.51336488e+03
 2.51328178e+03
 2.51330509e+03
 2.51330136e+03
 2.51327438e+03
 2.51330103e+03
 2.51330269e+03
 2.51334302e+03
 2.51330169e+03
 Inf
 2.51327745e+03
 2.51331406e+03
 2.51366645e+03
 2.51482358e+03
 2.51545696e+03
 2.51525317e+03
 2.51534659e+03
 2.51536691e+03
 2.51454078e+03
 2.51450109e+03
 2.51438269e+03
 2.51426064e+03
 2.51456777e+03
 2.51515386e+03
 2.51550123e+03
 2.51533230e+03
 2.51520328e+03
 2.51514846e+03
 2.51490125e+03
 2.51629093e+03
 2.51730762e+03
 2.51515656e+03
 2.51509508e+03
 2.51574174e+03
 2.51529258e+03
 2.51503321e+03
 2.51448109e+03
 2.51418322e+03
 2.51406064e+03
 2.51383609e+03
 2.51402746e+03
 2.51441432e+03
 2.51405709e+03
 2.51383015e+03
 2.51407478e+03
 2.51393715e+03
 2.51378798e+03
 2.51395837e+03
 2.51434944e+03
 2.51476233e+03
 2.49938157e+03
 2.51457684e+03
 2.51497043e+03
 2.51563672e+03
 2.51495492e+03
 2.51454753e+03
 2.51501211e+03
 2.51490367e+03
 2.51457685e+03
 2.51377102e+03
 2.51337725e+03
 2.51340151e+03
 2.51338572e+03
 2.51346549e+03
 2.51349063e+03
 2.51366895e+03
 2.51353731e+03
 2.51341313e+03
 2.51338177e+03
 2.51332733e+03
 2.51344766e+03
 2.51339452e+03
 2.51343387e+03
 2.51341387e+03
 2.51346203e+03
 2.51336912e+03
 2.51336191e+03
 2.51351146e+03
 2.51335956e+03
 2.51331486e+03
 2.51329726e+03
 2.51330723e+03
 2.51351437e+03
 2.51357206e+03
 2.51331366e+03
 2.51332641e+03
 2.51330509e+03
 2.51332551e+03
 2.51340654e+03
 2.51333790e+03
 2.51338177e+03
 2.51332417e+03
 2.51328195e+03
 2.51340654e+03
 2.51348878e+03
 2.51385412e+03
 2.51500168e+03
 2.51524508e+03
 2.51557599e+03
 2.51567673e+03
 2.51560313e+03
 2.51592622e+03
 2.51540719e+03
 2.51423123e+03
 2.51412730e+03
 2.51404309e+03
 2.51408907e+03
 2.51402747e+03
 2.51368281e+03
 2.51396166e+03
 2.51420612e+03
 2.51411257e+03
 2.51424488e+03
 2.51435772e+03
 2.51428245e+03
 2.51418701e+03
 2.51420028e+03
 2.51439739e+03
 2.51425076e+03
 2.51467861e+03
 2.51531816e+03
 2.51450522e+03
 2.51433101e+03
 2.51495236e+03
 2.51551607e+03
 2.51542444e+03
 2.51479401e+03
 2.51476022e+03
 2.51481120e+03
 2.51493952e+03
 2.51502005e+03
 2.51536101e+03
 2.51555496e+03
 2.51538689e+03
 2.51503055e+03
 2.51435771e+03
 2.51406417e+03
 2.51494464e+03
 2.51534962e+03
 2.51463651e+03
 2.51465692e+03
 2.51498602e+03
 2.51479152e+03
 2.51444208e+03
 2.51466918e+03
 2.51517848e+03
 2.51525350e+03
 2.51520319e+03
 2.51512670e+03
 2.51499124e+03
 2.51542466e+03
 2.51583321e+03
 2.51557891e+03
 2.51499645e+03
 2.51495786e+03
 2.51529262e+03
 2.51564285e+03
 2.51633604e+03
 2.49444473e+03
 2.51593596e+03
 2.51621536e+03
 2.51694466e+03
 2.51714964e+03
 2.51758363e+03
 2.51680126e+03
 2.51508364e+03
 2.51464354e+03
 2.51468077e+03
 2.51459734e+03
 2.51464346e+03
 2.51474779e+03
 2.51506231e+03
 2.51504068e+03
 2.51438268e+03
 2.51445922e+03
 2.51458367e+03
 2.51429850e+03
 2.51399167e+03
 2.51345945e+03
 2.51327490e+03
 Inf
 Inf
 Inf
 2.51327897e+03
 2.51327414e+03
 2.51327474e+03
 2.51332596e+03
 2.51330236e+03
 Inf
 2.51327514e+03
 2.51328014e+03
 2.51327465e+03
 2.51328860e+03
 2.51327413e+03
 Inf
 Inf
 Inf
 2.51330759e+03
 2.51332641e+03
 2.51329491e+03
 2.51328720e+03
 2.51331897e+03
 2.51333154e+03
 2.51334354e+03
 2.51331566e+03
 2.51328884e+03
 2.51334565e+03
 2.51341313e+03
 2.51340223e+03
 2.51331171e+03
 2.51329696e+03
 2.51340294e+03
 2.51333249e+03
 Inf
 2.51328178e+03
 2.51337096e+03
 2.51339730e+03
 2.51336487e+03
 2.51331249e+03
 2.51327911e+03
 2.51330474e+03
 2.51332153e+03
 Inf
 2.51327514e+03
 2.51330039e+03
 2.51380522e+03
 2.52004385e+03
 2.52195381e+03
 2.51692558e+03
 2.51523380e+03
 2.51425472e+03
 2.51364921e+03
 2.51352224e+03
 2.51335611e+03
 2.51331446e+03
 2.51341988e+03
 2.51335329e+03
 2.51339452e+03
 2.51347252e+03
 2.51344849e+03
 2.51343626e+03
 2.51342447e+03
 2.51328401e+03
 Inf
 Inf
 2.51327484e+03
 Inf
 Inf
 2.51327414e+03
 2.51361241e+03
 2.51430255e+03
 2.51440173e+03
 2.51482604e+03
 2.51502270e+03