2.51384808e+03
 2.51382423e+03
 2.51347252e+03
 2.51334997e+03
 2.51376403e+03
 2.51431672e+03
 2.51354970e+03
 2.51327460e+03
 2.51327474e+03
 2.51340581e+03
 2.51336608e+03
 2.51328765e+03
 2.51328788e+03
 2.51331897e+03
 2.51336132e+03
 2.51334997e+03
 2.51332328e+03
 2.51329757e+03
 2.51333740e+03
 2.51349155e+03
 2.51346030e+03
 2.51329943e+03
 2.51330439e+03
 2.51341239e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.30914826e+273
 4.28340688e+225
 2.09909077e+205
 9.23431658e+259
 1.56784608e+280
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330136e+03
 2.51345605e+03
 2.51351146e+03
 2.51349248e+03
 2.51368791e+03
 2.51379945e+03
 2.51367270e+03
 2.51353426e+03
 2.51350473e+03
 2.51360665e+03
 2.51353935e+03
 2.51378798e+03
 2.51405009e+03
 2.51406607e+03
 2.51358411e+03
 2.51419843e+03
 2.51784335e+03
 2.52060915e+03
 2.51922156e+03
 2.51597178e+03
 2.51468572e+03
 2.51526161e+03
 2.51480872e+03
 2.51396167e+03
 2.51421570e+03
 2.51410349e+03
 2.51386020e+03
 2.51362172e+03
 2.51347429e+03
 2.51341313e+03
 2.51339660e+03
 2.51374338e+03
 2.51374770e+03
 2.51349434e+03
 2.51342370e+03
 2.51342678e+03
 2.51335841e+03
 2.51327416e+03
 2.51328362e+03
 2.51345605e+03
 2.51370081e+03
 2.51335217e+03
 2.51327479e+03
 2.51329548e+03
 2.51337918e+03
 2.51329757e+03
 2.51329032e+03
 2.51334833e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327768e+03
 2.51330039e+03
 2.51327441e+03
 Inf
 2.15266633e+182
 3.83892017e+279
 2.51327792e+03
 2.51327817e+03
 Inf
 2.51329083e+03
 2.51344766e+03
 2.51336190e+03
 2.51328742e+03
 2.51336547e+03
 2.51346117e+03
 2.51333941e+03
 2.51330509e+03
 2.51329378e+03
 2.51327469e+03
 2.51329943e+03
 2.51340872e+03
 2.51365902e+03
 2.51367653e+03
 2.51342679e+03
 2.51337035e+03
 2.51343387e+03
 2.51343301e+03
 2.51330202e+03
 2.51336249e+03
 2.51361357e+03
 2.51335841e+03
 2.51347075e+03
 2.51367774e+03
 2.51339178e+03
 2.51341461e+03
 2.51335162e+03
 2.51357860e+03
 2.51379514e+03
 2.51343070e+03
 2.51357096e+03
 2.51369434e+03
 2.51342140e+03
 2.51329696e+03
 2.51333154e+03
 2.51365902e+03
 2.51362404e+03
 2.51344191e+03
 2.51365043e+03
 2.51394691e+03
 2.51370601e+03
 2.51408550e+03
 2.51474298e+03
 2.51459726e+03
 2.51399504e+03
 2.51402909e+03
 2.51449862e+03
 2.51340872e+03
 2.51327432e+03
 2.51332461e+03
 2.51356343e+03
 2.51363237e+03
 2.51327701e+03
 2.51329880e+03
 2.51338638e+03
 Inf
 Inf
 Inf
 2.51327883e+03
 2.51327548e+03
 Inf
 Inf
 2.51327548e+03
 2.51333443e+03
 2.51334302e+03
 2.51338572e+03
 2.51357423e+03
 2.51358087e+03
 2.51349434e+03
 2.51329135e+03
 2.51331446e+03
 2.51331366e+03
 2.51334942e+03
 2.51346376e+03
 2.51338506e+03
 2.51333941e+03
 2.51345183e+03
 2.51356558e+03
 2.51330832e+03
 2.51330007e+03
 2.51345183e+03
 2.51341836e+03
 2.51330687e+03
 2.51327621e+03
 Inf
 2.51336668e+03
 2.51371786e+03
 2.51383462e+03
 2.51389574e+03
 2.51389752e+03
 2.51386783e+03
 2.51369176e+03
 2.51356237e+03
 2.51395673e+03
 2.51387857e+03
 2.51370732e+03
 2.51397658e+03
 2.51368408e+03
 2.51379225e+03
 2.51442495e+03
 2.51414381e+03
 2.51393716e+03
 2.51414012e+03
 2.51381249e+03
 2.51379089e+03
 2.51380377e+03
 2.51396662e+03
 2.51409991e+03
 2.51384657e+03
 2.51361125e+03
 2.51350760e+03
 2.51367774e+03
 2.51364676e+03
 2.51328982e+03
 2.51328161e+03
 2.51330103e+03
 2.51330906e+03
 2.51337661e+03
 2.51338374e+03
 2.51356450e+03
 2.51343149e+03
 2.51333790e+03
 2.51334249e+03
 2.51335956e+03
 2.51343786e+03
 2.51354450e+03
 2.51352124e+03
 2.51354970e+03
 2.51361938e+03
 2.51383163e+03
 2.51419463e+03
 2.51392747e+03
 2.51369305e+03
 2.51391150e+03
 2.51385259e+03
 2.51368027e+03
 2.51400011e+03
 2.51408018e+03
 2.51398998e+03
 2.51399317e+03
 2.51359303e+03
 2.51346899e+03
 2.51380667e+03
 2.51369046e+03
 2.51346811e+03
 2.51375296e+03
 2.51412907e+03
 2.51411594e+03
 2.51375572e+03
 2.51387088e+03
 2.51392108e+03
 2.51366645e+03
 2.51369173e+03
 2.51400350e+03
 2.51428049e+03
 2.51426046e+03
 2.51394528e+03
 2.51383909e+03
 2.51381837e+03
 2.51359867e+03
 2.51376542e+03
 2.51368790e+03
 2.51331813e+03
 2.51327722e+03
 Inf
 2.51327417e+03
 2.51336729e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327441e+03
 2.51335898e+03
 2.51355600e+03
 2.51328502e+03
 Inf
 Inf
 Inf
 Inf
 2.51329491e+03
 2.51330169e+03
 2.51340437e+03
 2.51368027e+03
 2.51370086e+03
 2.51386172e+03
 2.51378087e+03
 2.51364921e+03
 2.51361939e+03
 2.51345099e+03
 2.51329350e+03
 2.51339110e+03
 2.51362290e+03
 2.51342835e+03
 2.51351340e+03
 2.51396828e+03
 2.51404315e+03
 2.51364314e+03
 2.51347877e+03
 2.51348325e+03
 2.51340654e+03
 2.51356343e+03
 2.51373255e+03
 2.51338839e+03
 2.51330136e+03
 2.51334833e+03
 2.51344766e+03
 2.51338506e+03
 2.51329696e+03
 2.51341387e+03
 2.51374202e+03
 2.51420419e+03
 2.51385563e+03
 2.51362407e+03
 2.51402747e+03
 2.51439741e+03
 2.51386477e+03
 2.51338112e+03
 2.51447671e+03
 2.51492680e+03
 2.51366521e+03
 2.51370073e+03
 2.51370345e+03
 2.51352124e+03
 2.51360094e+03
 2.51439528e+03
 2.51447909e+03
 2.51376403e+03
 2.51361357e+03
 2.51352922e+03
 2.51346376e+03
 2.51344437e+03
 2.51348786e+03
 2.51343149e+03
 2.51356773e+03
 2.51372584e+03
 2.51342602e+03
 2.51341314e+03
 2.51351829e+03
 2.51333890e+03
 2.51328029e+03
 2.51352026e+03
 2.51375572e+03
 2.51373385e+03
 2.51418510e+03
 2.51373794e+03
 2.51356130e+03
 2.51362289e+03
 2.51378229e+03
 2.51427649e+03
 2.51390833e+03
 2.51405356e+03
 2.51383758e+03
 2.51344849e+03
 2.51347966e+03
 2.51344110e+03
 2.51367396e+03
 2.51378230e+03
 2.51352026e+03
 2.51347877e+03
 2.51378513e+03
 2.51401374e+03
 2.51342835e+03
 2.51344517e+03
 2.51354554e+03
 2.51339315e+03
 2.51348878e+03
 2.51348146e+03
 2.51335498e+03
 2.51339042e+03
 2.51346811e+03
 2.51343228e+03
 2.51348970e+03
 2.51376961e+03
 2.51378240e+03
 2.51346899e+03
 2.51338047e+03
 2.51334354e+03
 2.51347429e+03
 2.51359528e+03
 2.51349248e+03
 2.51344273e+03
 2.51342680e+03
 2.51349248e+03
 2.51360780e+03
 2.51351730e+03
 2.51330906e+03
 2.51329787e+03
 2.51327756e+03
 Inf
 Inf
 2.51329818e+03
 2.51329057e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327722e+03
 2.51333890e+03
 2.51335385e+03
 2.51328461e+03
 2.51337158e+03
 2.51353731e+03
 2.51338047e+03
 2.51327415e+03
 2.51334512e+03
 2.51359528e+03
 2.51354140e+03
 2.51344932e+03
 2.51388015e+03
 2.51405010e+03
 2.51341761e+03
 2.51330687e+03
 2.51353123e+03
 2.51352218e+03
 2.51336190e+03
 2.51336667e+03
 2.51373120e+03
 2.51355705e+03
 2.51340509e+03
 2.51401373e+03
 2.51376960e+03
 2.51352821e+03
 2.51340366e+03
 2.51348602e+03
 2.51364921e+03
 2.51336850e+03
 2.51331730e+03
 2.51348329e+03
 2.51373389e+03
 2.51364677e+03
 2.51369304e+03
 2.51391787e+03
 2.51376402e+03
 2.51366149e+03
 2.51364195e+03
 2.51365042e+03
 2.51374474e+03
 2.51349809e+03
 2.51350277e+03
 2.51383758e+03
 2.51379366e+03
 2.51372718e+03
 2.51384207e+03
 2.51399504e+03
 2.51380522e+03
 2.51348329e+03
 2.51332918e+03
 2.51343228e+03
 2.51340944e+03
 2.51357205e+03
 2.51388481e+03
 2.51346549e+03
 2.51328957e+03
 2.51330235e+03
 2.51339730e+03
 2.51329187e+03
 Inf
 Inf
 Inf
 Inf
 2.51327441e+03
 2.51328836e+03
 2.51328908e+03
 Inf
 Inf
 Inf
 Inf
 2.51327540e+03
 2.51327444e+03
 2.51328304e+03
 2.51342140e+03
 2.51339521e+03
 2.51327415e+03
 2.51331171e+03
 2.51343948e+03
 2.51335956e+03
 2.51330509e+03
 2.51332825e+03
 2.51341536e+03
 2.51344110e+03
 2.51354347e+03
 2.51396497e+03
 2.51395156e+03
 2.51354657e+03
 2.51352027e+03
 2.51342140e+03
 2.51374201e+03
 2.51414570e+03
 2.51404829e+03
 2.51376403e+03
 2.51328421e+03
 2.51329434e+03
 2.51362761e+03
 2.51459507e+03
 2.51444841e+03
 2.51341018e+03
 2.51342214e+03
 2.51380522e+03
 2.51350664e+03
 2.51332596e+03
 2.51332197e+03
 2.51338638e+03
 2.51346117e+03
 2.51336132e+03
 2.51340872e+03
 2.51359303e+03
 2.51335668e+03
 2.51341536e+03
 2.51472854e+03
 2.51504127e+03
 2.51435770e+03
 2.51464345e+03
 2.51488357e+03
 2.51473330e+03
 2.51525326e+03
 2.51514825e+03
 2.51458822e+03
 2.51370863e+03
 2.51351731e+03
 2.51428646e+03
 2.51415866e+03
 2.51376822e+03
 2.51358745e+03
 2.51379369e+03
 2.51341912e+03
 Inf
 Inf
 2.51350856e+03
 2.51383164e+03
 2.51369175e+03
 2.51409989e+03
 2.51455202e+03
 2.51439734e+03
 2.51408014e+03
 2.51417372e+03
 2.51452295e+03
 2.51456567e+03
 2.51509167e+03
 2.51487089e+03
 2.51422346e+03
 2.51461108e+03
 2.51445497e+03
 2.51394854e+03
 2.51411257e+03
 2.51431063e+03
 2.51405533e+03
 2.51411803e+03
 2.51433301e+03
 2.51437232e+03
 2.51447236e+03
 2.51518121e+03
 2.51529286e+03
 2.51493181e+03
 2.51421766e+03
 2.51375434e+03
 2.51429046e+03
 2.51435164e+03
 2.51451186e+03
 2.51532953e+03
 2.51468095e+03
 2.51409089e+03
 2.51430049e+03
 2.51473575e+03
 2.51497309e+03
 2.51457456e+03
 2.51503843e+03
 2.51581097e+03
 2.51498080e+03
 2.51482862e+03
 2.51584908e+03
 2.51513206e+03
 2.51425472e+03
 2.51355074e+03
 2.51382569e+03
 2.51532383e+03
 2.51498068e+03
 2.51481125e+03
 2.51522816e+03
 2.51439949e+03
 2.51368154e+03
 2.51371251e+03
 2.51378229e+03
 2.51411807e+03
 2.51422737e+03
 2.51450303e+03
 2.51403092e+03
 2.51344273e+03
 2.51346374e+03
 2.51374747e+03
 2.51396168e+03
 2.51379656e+03
 2.51380368e+03
 2.51427053e+03
 2.51535528e+03
 2.49718610e+03
 2.51456100e+03
 2.51515927e+03
 2.51509674e+03
 2.51486844e+03
 2.51497039e+03
 2.51417187e+03
 2.51379370e+03
 2.51357314e+03
 2.51342835e+03
 2.51345435e+03
 2.51347518e+03
 2.51337035e+03
 2.51337156e+03
 2.51354970e+03
 2.51375159e+03
 2.51370730e+03
 2.51356023e+03
 2.51342992e+03
 2.51335329e+03
 2.51342992e+03
 2.51353834e+03
 2.51360665e+03
 2.51342757e+03
 2.51358633e+03
 2.51375296e+03
 2.51354554e+03
 2.51352622e+03
 2.51345775e+03
 2.51361472e+03
 2.51362062e+03
 2.51342447e+03
 2.51366148e+03
 2.51405184e+03
 2.51349341e+03
 2.51356664e+03
 2.51393070e+03
 2.51338907e+03
 Inf
 2.51342447e+03
 2.51382571e+03
 2.51348147e+03
 2.51330202e+03
 Inf
 2.51327897e+03
 2.51333249e+03
 2.51328461e+03
 Inf
 Inf
 2.51327414e+03
 Inf
 Inf
 1.76352722e+225
 8.63384835e+188
 Inf
 Inf
 2.51329757e+03
 2.51328323e+03
 2.51327733e+03
 2.51341988e+03
 2.51344437e+03
 2.51336487e+03
 2.51328652e+03
 2.51330071e+03
 2.51348694e+03
 2.51342064e+03
 2.51330580e+03
 2.51339178e+03
 2.51367901e+03
 2.51338242e+03
 2.51329350e+03
 2.51340872e+03
 2.51347608e+03
 2.51343867e+03
 2.51338047e+03
 2.51337919e+03
 2.51350664e+03
 2.51345774e+03
 2.51329378e+03
 2.51328502e+03
 Inf
 2.51329322e+03
 2.51338374e+03
 2.51342680e+03
 2.51338242e+03
 2.51327413e+03
 2.51339042e+03
 2.51367774e+03
 2.51337471e+03
 2.51328045e+03
 Inf
 2.51330006e+03
 2.51333106e+03
 2.51327587e+03
 2.51333640e+03
 2.51343307e+03
 2.51333740e+03
 2.51331526e+03
 2.51337725e+03
 2.51331094e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.52269701e+194
 1.75374924e+142
 7.16388854e+255
 Inf
 2.51327419e+03
 Inf
 Inf
 Inf
 3.95870567e+289
 Inf
 2.51329295e+03
 Inf
 Inf
 2.51331249e+03
 2.51329214e+03
 2.51327533e+03
 2.51328401e+03
 2.51329434e+03
 2.51327792e+03
 Inf
 Inf
 2.51327527e+03
 2.51327420e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.96903884e+298
 2.51419653e+03
 2.51953151e+03
 2.52063194e+03
 2.52079455e+03
 2.51943717e+03
 2.51545981e+03
 2.51374338e+03
 2.51380660e+03
 2.51365409e+03
 2.51346637e+03
 2.51369175e+03
 2.51386173e+03
 2.51351633e+03
 2.51342914e+03
 2.51331855e+03
 2.51327479e+03
 2.51327856e+03
 2.51328836e+03
 2.51334726e+03
 Inf
 2.46054023e+266
 2.91431502e+307
 Inf
 Inf
 6.43562754e+280
 1.94089418e+209
 1.37385399e+269
 8.67282366e+188
 8.97524697e+153
 5.25497002e+301
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330103e+03
 2.51332328e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.49520317e+205
 6.28585589e+280
 Inf
 1.41897589e+269
 9.14964183e+199
 Inf
 Inf
 Inf
 Inf
 3.30517475e+248
 Inf
 Inf
 4.09845946e+216
 Inf
 Inf
 5.65231389e+264
 Inf
 Inf
 Inf
 Inf
 4.72103135e+211
 4.59059363e+188
 5.59823887e+195
 1.64753976e+172
 2.96254159e+132
 1.90852512e+174
 1.54042854e+308
 2.02694619e+223
 4.13638672e+229
 7.93979568e+257
 1.37839845e+193
 2.74878832e+185
 8.84195909e+249
 Inf
 1.25565864e+247
 4.85584973e+273
 4.34982749e+299
 1.29543618e+273
 7.32770643e+253
 1.72562986e+240
 Inf
 Inf
 Inf
 8.49568220e+250
 7.96488626e+257
 Inf
 Inf
 1.41382692e+167
 2.24016397e+183
 3.30453660e+293
 7.84335400e+251
 1.04165383e+276
 Inf
 Inf
 1.12135519e+196
 4.83623840e+196
 1.24481994e+183
 1.46003795e+161
 3.62722015e+247
 Inf
 2.51327420e+03
 2.51331094e+03
 2.51329911e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.04931967e+261
 Inf
 2.51328014e+03
 2.19553366e+182
 2.35147443e+134
 6.56027031e+265
 2.54207315e+251
 1.08325525e+238
 Inf
 Inf
 Inf
 5.81936287e+285
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.95632364e+265
 7.55982975e+283
 Inf
 Inf
 Inf
 1.15050632e+213
 6.17649559e+167
 4.62647602e+139
 1.53281072e+277
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.95894073e+305
 Inf
 Inf
 3.46406923e+169
 1.49983061e+163
 1.59169458e+227
 1.35845021e+202
 2.39266207e+252
 2.90817531e+307
 1.14809908e+213
 2.33200499e+162
 1.26874749e+214
 Inf
 5.84103239e+285
 1.64762389e+146
 8.46340705e+166
 1.04831211e+268
 1.81177057e+283
 8.68276770e+188
 1.14935475e+181
 2.32160478e+162
 5.93377222e+221
 1.88483456e+220
 2.65813253e+218
 Inf
 5.68283152e+195
 9.57062765e+129
 1.86406223e+92
 1.05707429e+68
 4.81192003e+58
 2.54926777e+84
 2.85344555e+129
 5.96823712e+94
 8.81672396e+73
 2.69157829e+94
 4.08594248e+135
 1.20433680e+81
 6.91913837e+66
 7.95139328e+61
 3.64105588e+57
 3.44000356e+72
 6.64165200e+62
 1.29611132e+55
 2.41491246e+62
 9.26946623e+81
 1.55254121e+128
 3.69672253e+167
 8.17431974e+124
 1.67005676e+86
 2.00367261e+154
 7.01709019e+192
 4.08245679e+136
 5.08573265e+203
 2.12426580e+233
 4.14242197e+229
 1.72295820e+186
 1.10601069e+136
 5.73416105e+135
 2.95645800e+157
 3.70010316e+160
 3.65917329e+140
 2.92605889e+137
 4.31901625e+170
 1.01851817e+261
 2.51327474e+03
 2.51348420e+03
 2.51360666e+03
 2.51350282e+03
 2.51337346e+03
 2.51336608e+03
 2.51329322e+03
 2.51327856e+03
 2.51327869e+03
 2.51329911e+03
 2.51333740e+03
 2.51328884e+03
 2.51331094e+03
 2.51332461e+03
 Inf
 Inf
 Inf
 2.51329350e+03
 Inf
 4.06633104e+144
 4.05209166e+116
 1.94759436e+223
 1.71181285e+153
 5.08011183e+142
 5.16054241e+140
 3.78729888e+127
 3.05219704e+143
 2.03360482e+169
 7.29650368e+154
 4.71054405e+131
 1.57777292e+135
 4.59533898e+139
 1.68846854e+153
 9.35414587e+162
 3.07748027e+143
 2.26992703e+173
 Inf
 Inf
 1.21205391e+145
 1.21643123e+127
 1.53291749e+201
 2.67445299e+275
 6.70257764e+173
 2.57243499e+153
 3.67668846e+162
 3.18820300e+166
 3.80070961e+182
 1.00330976e+228
 5.53777847e+264
 1.02055668e+168
 1.57740882e+147
 4.91765385e+152
 6.47359959e+122
 8.09983098e+124
 3.69238288e+167
 2.85183489e+224
 6.14865701e+155
 7.96891380e+137
 1.06495431e+148
 2.18279390e+120
 4.95251952e+185
 4.18480067e+246
 2.33158386e+147
 3.01502828e+189
 1.83882385e+200
 7.32249780e+142
 1.21680142e+124
 6.15103982e+119
 1.25945235e+111
 8.12383507e+94
 1.38623361e+125
 8.11192421e+266
 3.73212838e+162
 9.15039702e+216
 Inf
 Inf
 2.51329322e+03
 Inf
 Inf
 Inf
 2.09821604e+190
 2.08737281e+205
 Inf
 Inf
 1.07025996e+287
 7.52297742e+190
 Inf
 2.51327669e+03
 Inf
 1.50785579e+215
 3.40771935e+147
 1.52641931e+148
 1.65509373e+245
 7.53937439e+168
 2.05981839e+84
 3.18857775e+72
 7.07096033e+67
 1.74693766e+79
 5.64442046e+105
 4.01138251e+116
 1.35175976e+107
 1.87080060e+108
 7.93331033e+156
 2.56584362e+226
 3.21898880e+166
 5.89478270e+153
 1.69418147e+153
 3.18152699e+166
 1.32468515e+241
 Inf
 2.79160039e+185
 1.92089638e+114
 8.47763520e+141
 Inf
 6.39300220e+280
 3.48013127e+171
 1.02363564e+212
 1.13606777e+174
 1.51217054e+118
 5.18158287e+126
 1.10785768e+146
 2.16335178e+117
 1.77174203e+99
 1.89350359e+97
 5.14684204e+112
 4.97029945e+148
 5.74784051e+171
 5.21088196e+166
 2.14529990e+143
 4.11516382e+106
 4.29037272e+110
 1.89405769e+114
 4.42954208e+117
 8.46957094e+105
 1.15084124e+79
 1.22049620e+78
 1.01061473e+80
 2.95615060e+81
 6.09952248e+75
 2.74512860e+76
 1.09454930e+93
 5.45823057e+84
 4.79611985e+67
 1.14736747e+75
 1.54898034e+103
 3.70388098e+96
 5.28494777e+81
 2.76272096e+86
 1.01515507e+85
 3.67805531e+96
 1.01550224e+122
 7.26895914e+140
 6.12716502e+115
 8.90274210e+91
 8.17003788e+92
 8.49837155e+87
 4.24165217e+90
 5.05651589e+116
 4.78881164e+217
 2.30140745e+173
 3.73058380e+107
 2.49072688e+99
 3.67253017e+107
 2.46586637e+113
 5.74739592e+100
 6.33615538e+98
 1.67183519e+100
 3.15665889e+116
 1.89631571e+86
 1.42157716e+72
 2.22582058e+87
 2.28784166e+75
 1.17458274e+69
 4.27248158e+77
 2.23262603e+87
 3.09079475e+97
 8.21438181e+134
 1.53772986e+201
 2.17598008e+178
 1.49848759e+143
 1.71423282e+158
 2.08780752e+211
 3.82340208e+178
 3.03787891e+189
 2.66692331e+275
 2.53301545e+221
 2.97376422e+267
 Inf
 Inf
 1.09797922e+204
 1.90978315e+144
 1.54278230e+201
 Inf
 3.91715721e+289
 2.14820489e+233
 Inf
 Inf
 Inf
 3.75680514e+297
 Inf
 Inf
 2.38999728e+253
 9.64147391e+210
 Inf
 8.65608841e+242
 7.21916246e+157
 2.67524146e+158
 1.27551004e+151
 1.66336847e+107
 4.60053331e+95
 1.73510481e+93
 6.31883836e+98
 4.89843323e+122
 1.28636787e+79
 9.47057449e+72
 1.57539654e+84
 6.75548093e+80
 2.26944207e+108
 3.82059250e+98
 2.37278291e+101
 1.31088632e+198
 4.64616750e+139
 5.15370089e+97
 3.70263147e+93
 1.05300764e+99
 1.10052463e+107
 3.18762662e+105
 2.74875310e+109
 1.02774398e+106
 1.15969792e+97
 4.84082703e+80
 3.80050796e+104
 6.70330538e+182
 5.10583473e+142
 1.68279766e+88
 6.74689668e+85
 2.43982755e+107
 1.30242997e+120
 7.20685516e+117
 1.72139141e+94
 6.76174014e+85
 1.45282041e+86
 6.88678955e+105
 1.93138354e+111
 8.37422562e+96
 9.83291042e+167
 1.77427984e+283
 9.28724805e+161
 7.05017785e+177
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328323e+03
 2.51327570e+03
 2.51327429e+03
 Inf
 Inf
 Inf
 Inf
 2.51327650e+03
 2.51327533e+03
 Inf
 Inf
 Inf
 Inf
 2.51329161e+03
 2.51327429e+03
 Inf
 Inf
 Inf
 2.51327669e+03
 Inf
 Inf
 Inf
 Inf
 2.51327479e+03
 Inf
 Inf
 2.35346579e+148
 2.55943822e+153
 2.30515732e+256
 2.66766448e+193
 2.49850498e+107
 5.39428371e+95
 6.99960437e+123
 6.37939879e+179
 2.48362766e+159
 9.14071660e+143
 1.78429332e+270
 3.50417776e+291
 6.21271678e+113
 6.95273622e+94
 5.63246732e+161
 1.44153964e+195
 3.81453976e+178
 1.41468799e+191
 2.87981728e+214
 1.18895042e+139
 2.58716937e+170
 2.04510074e+181
 9.40591949e+162
 6.34335643e+228
 2.41943959e+163
 6.11199780e+163
 3.88720640e+153
 4.16882182e+206
 Inf
 2.32512624e+167
 5.61048808e+125
 9.01454765e+133
 1.64888992e+139
 5.80478466e+160
 2.17486357e+152
 3.82090292e+122
 4.52631475e+107
 5.31523579e+110
 2.24025673e+97
 1.72855206e+87
 3.09065091e+97
 2.14576402e+121
 7.71231400e+115
 1.89668782e+115
 2.50035024e+102
 4.24426766e+108
 5.79700773e+153
 2.03787375e+171
 1.88612811e+72
 1.05084168e+56
 2.23263494e+83
 6.01050829e+113
 6.46473938e+112
 1.00239599e+105
 5.62625517e+104
 1.00616771e+113
 2.15245273e+138
 2.17901835e+135
 9.60103197e+174
 5.66013103e+213
 1.20372996e+145
 1.98975959e+116
 1.32797962e+122
 7.40247210e+132
 4.03887450e+136
 1.58675222e+113
 1.19194975e+115
 1.20867021e+142
 7.64914908e+145
 2.32515063e+139
 3.40902639e+171
 2.37493621e+252
 1.09437436e+187
 5.50181593e+132
 2.38874328e+149
 2.84939651e+175
 2.40208035e+163
 1.58361353e+159
 2.30632909e+147
 7.95537135e+137
 3.90904944e+129
 1.06370526e+99
 2.02028491e+93
 2.33560165e+163
 7.33845012e+235
 4.08312904e+177
 1.19023784e+203
 2.99482143e+157
 1.08856609e+137
 2.28587932e+161
 8.36958873e+134
 5.42154733e+123
 2.77649191e+91
 1.49010385e+115
 1.12679637e+262
 2.30208222e+254
 1.95741438e+194
 1.09678707e+199
 2.43000602e+257
 4.13970972e+137
 6.98690489e+94
 1.18384478e+115
 1.33597643e+193
 2.42281623e+278
 Inf
 9.43928990e+185
 1.22429905e+127
 5.67009532e+137
 3.16843490e+166
 1.68373119e+101
 9.91505250e+99
 1.02122325e+131
 6.38553487e+98
 3.38013556e+109
 2.68462539e+96
 7.86571038e+108
 Inf
 9.04460571e+249
 7.77497082e+113
 1.32242301e+173
 6.61699248e+270
 8.54828030e+258
 3.70118588e+192
 1.66648161e+139
 2.60719187e+218
 1.91473069e+192
 5.79845678e+171
 8.81028780e+249
 Inf
 Inf
 2.44335182e+266
 4.34552559e+299
 Inf
 2.13396974e+211
 Inf
 Inf
 Inf
 Inf
 2.29277451e+239
 Inf
 2.51327415e+03
 Inf
 2.51328884e+03
 Inf
 Inf
 1.05785947e+261
 6.16832176e+155
 4.71133650e+131
 3.41235275e+109
 3.40759702e+101
 8.18808700e+116
 2.23227410e+126
 7.13864344e+96
 1.55490361e+70
 1.87202357e+67
 8.27575072e+103
 2.13048344e+112
 1.36866277e+97
 5.49763781e+107
 3.75920989e+114
 2.74252961e+79
 1.37979224e+67
 6.06870438e+82
 2.56187559e+83
 3.81913513e+72
 9.44364225e+72
 3.30379858e+81
 1.57606622e+80
 5.52285895e+75
 2.24708798e+103
 2.10713458e+143
 2.27130380e+119
 3.52545998e+99
 2.15816727e+105
 1.81074248e+109
 1.99814692e+100
 1.99898587e+94
 8.50247227e+87
 6.62755068e+128
 1.16203053e+182
 2.51359528e+03
 2.51624628e+03
 2.51617375e+03
 2.51583635e+03
 2.51367145e+03
 8.72034475e+232
 1.18753030e+132
 5.19127293e+156
 1.21995225e+124
 1.17096936e+101
 6.28881937e+131
 2.24160701e+126
 1.00581205e+105
 3.31440290e+112
 9.77558343e+100
 3.30951760e+112
 2.23812872e+122
 8.29327090e+104
 6.41687104e+108
 2.46239589e+107
 3.80425187e+115
 9.66392956e+125
 1.48874180e+110
 3.89489700e+92
 6.29510540e+95
 4.39923232e+117
 3.75581149e+128
 1.26217391e+111
 9.77169856e+100
 1.80795653e+109
 9.97206808e+120
 2.89984157e+129
 4.81324907e+133
 1.37815534e+119
 4.66680828e+104
 2.95563497e+99
 1.55247485e+111
 2.80555954e+128
 5.87316694e+101
 4.07576022e+85
 1.33265230e+91
 2.89910403e+83
 2.07132141e+78
 1.11162120e+89
 2.08371975e+99
 3.33231327e+84
 9.84606630e+82
 6.92962974e+103
 9.02884985e+106
 1.47144661e+94
 4.06618768e+85
 2.52125221e+75
 1.36449157e+73
 1.32407057e+91
 2.44962374e+113
 2.44413398e+95
 1.78502082e+91
 9.09242133e+117
 1.32921064e+117
 4.43335535e+117
 5.85864757e+101
 8.33462426e+99
 1.25559808e+113
 4.35480088e+94
 5.22187314e+92
 2.07353139e+95
 4.06775457e+85
 4.68866553e+83
 1.22293129e+78
 4.97798993e+93
 6.64858702e+128
 2.55223259e+131
 3.77051735e+128
 8.10669937e+112
 1.29021844e+93
 5.33247997e+98
 5.14391946e+126
 2.67408474e+112
 1.90104228e+97
 3.70211996e+93
 4.01231601e+100
 4.59201183e+111
 1.02842734e+106
 2.30621276e+84
 4.28820916e+93
 3.16272899e+125
 1.16535273e+97
 4.26472809e+84
 7.10447394e+117
 2.82257653e+151
 1.38619877e+90
 1.47134218e+89
 4.59283732e+120
 7.92747011e+108
 6.24182751e+102
 2.42811612e+159
 2.38765725e+286
 9.24443074e+271
 1.25936064e+134
 3.03073709e+107
 2.46131245e+85
 4.19022753e+30
 6.92076654e+25
 6.40474095e+33
 8.20278331e+31
 7.44112397e+42
 2.43219556e+26
 3.66462424e+11
 2.61082783e+13
 1.50863174e+35
 4.15442985e+37
 1.75286232e+64
 6.27929536e+178
 5.24555576e+126
 6.52274095e+88
 1.18957552e+110
 2.31575328e+160
 3.38803621e+169
 1.35252459e+82
 3.31179179e+84
 5.28404116e+233
 2.32906981e+147
 2.96947245e+141
 8.45573814e+196
 7.09622515e+177
 1.64268701e+172
 1.23591472e+178
 2.20572398e+199
 2.00068259e+223
 2.28929173e+254
 6.34003092e+280
 1.00342209e+192
 2.51327745e+03
 2.51337158e+03
 6.44038487e+163
 4.69090162e+120
 3.10334145e+154
 Inf
 Inf
 9.89784492e+125
 7.91235742e+119
 2.16551268e+199
 Inf
 Inf
 Inf
 Inf
 2.51334672e+03
 2.51330202e+03
 Inf
 2.13505150e+205
 1.44543879e+219
 2.75921383e+185
 6.37960575e+228
 1.57446243e+91
 7.29804015e+79
 3.02035770e+186
 1.04407484e+226
 4.25934589e+225
 Inf
 Inf
 3.99682936e+237
 Inf
 2.50661711e+271
 1.49239946e+215
 Inf
 2.51327424e+03
 Inf
 4.44600710e+299
 Inf
 1.58708437e+201
 5.86690731e+186
 9.92076019e+191
 6.15003150e+239
 3.77738373e+241
 6.69475413e+133
 1.73271210e+122
 1.03056474e+141
 5.69878680e+150
 5.47051565e+132
 9.12631599e+139
 3.62392045e+192
 2.87047115e+151
 7.82172373e+136
 2.26086707e+167
 1.12625429e+213
 2.75491899e+168
 5.25221499e+102
 1.98704908e+101
 4.40944835e+117
 2.66786614e+112
 5.87302872e+93
 1.56408723e+103
 3.46140776e+110
 3.32050753e+112
 7.14557419e+97
 7.01016353e+84
 1.66210345e+100
 2.22643908e+109
 3.86977417e+113
 4.56461487e+139
 1.72260235e+145
 1.69250974e+155
 2.34942587e+160
 9.08482307e+133
 5.95756736e+138
 6.75151435e+128
 3.99683678e+132
 1.22625735e+183
 1.91226469e+207
 8.55913573e+166
 2.75052521e+124
 3.19214747e+134
 8.26763705e+116
 2.48601432e+76
 2.70969436e+79
 2.75971911e+86
 5.20907391e+69
 2.33870488e+81
 5.88131585e+114
 9.99024104e+120
 3.52336165e+142
 1.59768974e+189
 2.12247493e+217
 1.43685165e+222
 2.75786855e+168
 1.81898535e+104
 2.44706918e+72
 5.42777806e+57
 1.67204712e+64
 3.38039286e+117
 8.58582444e+131
 1.88295887e+108
 4.88007996e+101
 1.86728876e+108
 1.00453006e+133
 1.06971740e+147
 2.56958016e+150
 1.62266374e+146
 4.94553853e+147
 1.31742465e+103
 9.54381924e+113
 3.83396378e+153
 4.05786442e+136
 3.52514308e+133
 2.14340663e+178
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.82872802e+259
 Inf
 6.85876589e+265
 1.68008620e+168
 1.20378041e+166
 1.33527069e+263
 Inf
 2.15818987e+182
 2.50582271e+251
 Inf
 Inf
 Inf
 2.32630047e+255
 1.24978308e+178
 2.87192641e+214
 2.02356960e+187
 3.57805208e+149
 5.74912617e+171
 1.55213336e+277
 Inf
 Inf
 2.57450505e+251
 1.94865517e+174
 1.04820952e+221
 Inf
 9.82088107e+278
 Inf
 Inf
 1.63349549e+292
 Inf
 Inf
 Inf
 2.51327792e+03
 2.51327422e+03
 2.51327939e+03
 2.51327419e+03
 Inf
 4.01126392e+190
 4.80323753e+273
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.14930825e+224
 2.94750851e+249
 Inf
 Inf
 3.10639589e+138
 5.20928935e+126
 1.39599833e+246
 6.02631887e+221
 1.18642156e+132
 3.65545884e+162
 2.66452713e+230
 Inf
 4.43137886e+299
 3.42940201e+147
 7.31137576e+252
 Inf
 Inf
 Inf
 2.51327570e+03
 Inf
 1.10078087e+268
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.84563958e+270
 6.35361622e+280
 Inf
 2.51327817e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 4.12026339e+177
 3.03730078e+189
 7.99803893e+135
 7.88499118e+89
 2.47876887e+92
 2.95629647e+135
 1.07123278e+187
 6.18170563e+163
 2.44821852e+125
 2.29297153e+96
 2.80714656e+108
 2.00726780e+169
 5.20854765e+166
 7.98442713e+137
 4.07586617e+137
 9.30779180e+169
 5.72481681e+189
 3.38721102e+197
 9.93925467e+191
 4.08202213e+136
 4.00472504e+132
 5.72767799e+161
 9.52704533e+159
 4.93136000e+152
 3.26796302e+152
 3.78201561e+178
 1.98109005e+210
 4.12766303e+229
 7.78192065e+251
 3.97380788e+237
 1.65600211e+172
 2.60286753e+155
 1.07549133e+147
 5.81684264e+160
 5.12439289e+203
 1.13481347e+174
 1.50110243e+163
 8.58532061e+141
 6.46621288e+158
 1.41472943e+246
 2.90383280e+214
 4.59516516e+165
 4.19102701e+112
 2.68683321e+96
 6.42459751e+112
 4.68615540e+121
 1.60564983e+127
 1.18697223e+128
 1.06197791e+148
 2.84781258e+151
 1.70246359e+117
 4.74348854e+114
 2.24654319e+173
 1.97873480e+210
 6.46200246e+151
 2.16104385e+196
 Inf
 7.13031953e+224
 3.00241449e+141
 Inf
 Inf
 2.11148037e+181
 4.94989121e+152
 6.87169011e+89
 1.70665303e+94
 1.60358051e+97
 9.81833060e+96
 1.18918946e+82
 1.85682826e+72
 1.06272091e+136
 5.15200175e+140
 7.68415480e+113
 6.27512631e+143
 1.90919524e+115
 1.70168701e+89
 1.00415692e+76
 1.54196471e+75
 3.74423197e+71
 2.99239451e+74
 5.62721732e+105
 1.25830287e+113
 3.85009600e+104
 1.06626923e+119
 1.70810335e+130
 5.87532935e+101
 4.75171273e+119
 2.50857796e+176
 Inf
 4.73781459e+263
 3.23417996e+116
 3.87813495e+113
 2.13726022e+112
 1.02175414e+122
 3.76945957e+127
 5.78403331e+160
 Inf
 1.30239673e+214
 1.10949693e+136
 3.70156267e+187
 8.17673089e+184
 5.67255450e+213
 5.66220466e+285
 Inf
 Inf
 1.95328693e+207
 3.79729712e+194
 Inf
 3.87221568e+268
 4.66962446e+263
 2.81463349e+259
 3.46880171e+222
 Inf
 Inf
 8.18825349e+156
 6.14440631e+113
 1.03932153e+90
 3.16701657e+105
 2.92293392e+157
 3.47801928e+131
 9.32512390e+78
 7.22751456e+77
 3.15001674e+94
 2.82341613e+100
 5.60083633e+130
 1.22543843e+183
 Inf
 Inf
 Inf
 1.87433044e+200
 1.94410067e+194
 2.57049194e+164
 1.35904273e+193
 4.58219518e+165
 1.41316044e+125
 9.43405478e+159
 Inf
 2.51335726e+03
 2.51338178e+03
 2.51327792e+03
 2.51327612e+03
 2.51327780e+03
 1.06910217e+212
 2.17922949e+178
 Inf
 3.26241019e+134
 2.84404946e+127
 3.36526648e+106
 2.74485174e+103
 Inf
 2.51357423e+03
 2.51328675e+03
 Inf
 Inf
 5.84525886e+150
 4.12022680e+106
 9.71213339e+108
 2.98181820e+111
 1.39464661e+101
 1.60750594e+97
 1.77734101e+105
 2.73975920e+93
 1.67466161e+117
 5.62807215e+189
 2.55514200e+176
 1.03547537e+122
 5.65343399e+104
 4.10611529e+135
 1.96557578e+223
 Inf
 Inf
 5.53891166e+306
 Inf
 Inf
 2.24359393e+156
 6.06566191e+159
 6.40994525e+180
 1.70448869e+155
 1.49539711e+163
 3.42972320e+171
 1.09117053e+137
 1.11162407e+112
 2.50092367e+116
 1.05777708e+148
 3.54921160e+142
 2.92742138e+137
 6.90253057e+126
 9.99927046e+85
 1.63267446e+98
 3.63445492e+187
 3.46966470e+146
 2.27519387e+106
 6.08551936e+92
 2.27178436e+96
 4.74080782e+119
 1.10761882e+107
 7.03290574e+123
 1.85744842e+123
 7.55615860e+98
 4.12602745e+112
 1.49334789e+118
 4.93293955e+122
 9.24936720e+123
 1.33092412e+122
 1.17323599e+118
 1.23332531e+116
 8.08342060e+124
 4.30070975e+170
 Inf
 7.87899975e+296
 3.78972049e+200
 1.37130139e+269
 1.01674454e+228
 Inf
 2.51346899e+03
 2.51348152e+03
 2.51327968e+03
 Inf
 Inf
 2.85768159e+259
 Inf
 2.51327460e+03
 2.51354450e+03
 Inf
 1.27583866e+178
 1.33420211e+177
 4.06837399e+183
 Inf
 Inf
 2.52170139e+257
 3.83582578e+268
 Inf
 2.77803960e+302
 8.63072977e+166
 1.85375365e+110
 3.75511629e+127
 2.15853204e+132
 1.23778656e+116
 7.34770556e+168
 2.76918780e+172
 2.49565814e+142
 2.84385294e+175
 2.77752955e+202
 2.43320326e+243
 2.01934976e+244
 4.65465663e+263
 3.70156567e+179
 1.04575362e+143
 2.71794431e+185
 3.93715682e+262
 Inf
 7.51923270e+235
 1.23092641e+171
 9.64547365e+151
 2.59242015e+155
 2.27703776e+173
 3.23036665e+248
 Inf
 Inf
 7.17708678e+192
 1.20079707e+145
 3.77435917e+178
 8.53842049e+196
 2.87530610e+307
 Inf
 Inf
 7.00538886e+230
 3.41295661e+147
 7.94493332e+121
 3.16399660e+123
 5.22962853e+129
 2.32797051e+134
 1.01985212e+120
 4.55643502e+120
 1.58058756e+113
 1.19753115e+109
 1.21187901e+169
 9.04448156e+271
 6.06276050e+138
 2.14209193e+127
 7.77515252e+149
 8.04298707e+156
 8.42642188e+242
 3.68448151e+243
 9.03320569e+206
 1.97108253e+166
 2.17619184e+132
 1.09124411e+149
 1.12002431e+153
 5.05145480e+127
 8.34405585e+138
 3.95560297e+155
 1.35498739e+154
 2.39172145e+163
 3.35835885e+219
 4.78816243e+240
 1.99271512e+206
 Inf
 2.51330832e+03
 2.51328362e+03
 2.51327939e+03
 2.51328812e+03
 2.51327452e+03
 Inf
 4.68816291e+287
 6.64702962e+181
 1.45973524e+161
 2.76470476e+172
 7.91629637e+219
 5.38197583e+236
 Inf
 Inf
 Inf
 Inf
 1.19684452e+224
 Inf
 2.51338705e+03
 8.73609520e+250
 2.62738456e+155
 Inf
 2.51328421e+03
 2.51334779e+03
 Inf
 2.51329405e+03
 2.51355705e+03
 2.51329135e+03
 2.51327595e+03
 2.51327415e+03
 2.51327422e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327441e+03
 2.51329268e+03
 Inf
 2.51327690e+03
 2.51341536e+03
 2.51332918e+03
 2.51327420e+03
 Inf
 2.51425471e+03
 2.51701361e+03
 2.51774664e+03
 2.51769414e+03
 2.51695989e+03
 2.51648398e+03
 2.51498083e+03
 2.51442285e+03
 2.51413460e+03
 2.51361010e+03
 2.51354039e+03
 2.51351340e+03
 2.51347163e+03
 2.51362643e+03
 2.51357422e+03
 2.51344932e+03
 2.51342294e+03
 2.51336912e+03
 2.51330869e+03
 2.51346376e+03
 2.51363355e+03
 2.51355178e+03
 2.51336729e+03
 2.51328126e+03
 2.51340437e+03
 2.51349621e+03
 2.51334565e+03
 2.51354865e+03
 2.51376126e+03
 2.51363593e+03
 2.51358412e+03
 2.51347967e+03
 2.51352223e+03
 2.51348786e+03
 2.51334250e+03
 2.51329241e+03
 2.51344601e+03
 2.51333739e+03
 Inf
 Inf
 Inf
 2.52201992e+257
 Inf
 2.51327527e+03
 2.51370994e+03
 2.51353731e+03
 1.12325283e+221
 9.73548303e+113
 6.04814433e+96
 3.21475032e+98
 7.94120452e+93
 2.97089185e+284
 2.51346987e+03
 3.20109135e+242
 5.83908112e+100
 5.88814034e+138
 2.46183103e+159
 1.02467764e+120
 6.02359202e+134
 1.90999042e+174
 5.85033680e+160
 4.55585188e+165
 1.57595072e+148
 4.26630390e+151
 1.47323891e+141
 6.48524083e+139
 9.58125132e+151
 3.26748582e+152
 Inf
 1.82615869e+298
 4.29125185e+141
 1.67502486e+290
 5.92225120e+186
 1.02687692e+111
 1.70348158e+130
 2.26487924e+119
 2.81094074e+110
 6.08117779e+113
 7.38314325e+290
 2.51327792e+03
 3.79715232e+181
 2.76735618e+117
 1.56097620e+116
 2.96026128e+89
 3.69949291e+94
 1.02233494e+106
 2.89435655e+137
 1.68746006e+153
 4.16048385e+158
 4.95869946e+147
 2.72171882e+185
 7.64554905e+296
 4.67505789e+157
 2.93653534e+137
 7.00375677e+177
 1.50079181e+160
 7.08394354e+129
 1.09428884e+136
 1.07265574e+190
 2.28067856e+212
 8.01197841e+121
 2.67086596e+112
 2.27717201e+177
 2.86404843e+151
 2.17787710e+129
 3.92266633e+144
 3.41416034e+171
 Inf
 2.51353426e+03
 2.51327756e+03
 2.24001945e+121
 2.77839796e+165
 2.39295005e+286
 2.95536840e+119
 1.50942008e+82
 8.46166849e+87
 4.49159534e+98
 6.09861157e+119
 2.23424899e+126
 1.15558081e+79
 7.11697992e+74
 1.97662454e+94
 3.68468500e+111
 1.00578675e+133
 5.03009649e+127
 3.99558380e+132
 1.56708433e+116
 3.32615517e+112
 1.70824006e+150
 1.52219343e+136
 1.26972278e+94
 1.45720445e+86
 2.47388343e+116
 3.74027738e+182
 1.61338117e+189
 8.53730909e+166
 3.65483670e+181
 9.18959563e+161
 4.98001193e+122
 7.89362064e+135
 2.31962627e+139
 5.73919922e+161
 1.14319051e+181
 1.22200554e+171
 2.20234435e+199
 2.64871911e+193
 8.06442074e+238
 1.05718750e+230
 1.18651592e+182
 4.95049297e+152
 2.16158954e+196
 1.35215931e+202
 9.12271700e+128
 8.20877935e+110
 6.85454977e+100
 6.44690552e+116
 1.07744270e+137
 4.45541146e+117
 1.35212988e+107
 3.70286356e+111
 1.32654329e+117
 1.10687679e+107
 9.76013992e+100
 9.68002136e+109
 3.92773602e+95
 1.73505792e+93
 2.36782073e+100
 3.46092819e+117
 2.52298369e+164
 6.65619495e+164
 1.63848610e+172
 9.02372189e+199
 2.22002646e+156
 1.10086267e+136
 1.06631187e+165
 2.27679108e+167
 3.56671081e+149
 Inf
 Inf
 2.25865323e+156
 5.71886726e+150
 1.19331388e+128
 2.48015284e+113
 1.60146497e+127
 9.26075886e+123
 2.30654554e+108
 7.86453502e+137
 2.76563284e+103
 2.43732059e+95
 7.87947012e+156
 1.70151337e+186
 6.68237762e+110
 5.33735152e+86
 3.86433405e+92
 5.10535337e+96
 3.80609481e+98
 7.84080605e+119
 1.49664983e+118
 1.94839453e+96
 2.29452846e+98
 2.99437770e+138
 2.74839651e+172
 2.68276110e+158
 1.23562903e+183
 9.04453551e+199
 1.05845567e+242
 3.34741841e+293
 1.35250535e+241
 1.25202938e+183
 9.38294628e+155
 6.08572440e+155
 3.47694706e+131
 9.12333949e+139
 8.44881893e+166
 3.33718884e+215
 2.00626694e+223
 3.91650467e+173
 1.12549528e+153
 4.04617815e+183
 1.87190093e+220
 2.79126065e+172
 3.66253496e+297
 Inf
 6.33937047e+277
 1.20993194e+145
 7.34021818e+146
 6.03983190e+277
 5.82332630e+202
 1.64919783e+172
 Inf
 8.49312057e+266
 3.94845264e+190
 1.96819932e+288
 Inf
 3.16075401e+232
 6.48588279e+180
 1.96281991e+288
 2.51327416e+03
 2.51327869e+03
 Inf
 Inf
 1.98000435e+305
 Inf
 2.51329726e+03
 2.51329007e+03
 2.51328143e+03
 2.51327792e+03
 Inf
 2.51335441e+03
 2.51366397e+03
 2.51342913e+03
 2.51327954e+03
 2.51328213e+03
 2.51342524e+03
 2.51337345e+03
 2.51337285e+03
 2.51384057e+03
 2.51373118e+03
 2.51349715e+03
 2.51374474e+03
 2.51368534e+03
 2.51338839e+03
 2.51358967e+03
 2.51367271e+03
 2.51346117e+03
 2.51365778e+03
 2.51345689e+03
 2.51336132e+03
 2.51339800e+03
 Inf
 1.00724803e+249
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51333740e+03
 2.51328014e+03
 Inf
 2.51346724e+03
 2.51360551e+03
 2.51353022e+03
 2.51347608e+03
 2.51365165e+03
 2.51399504e+03
 2.51369950e+03
 2.51331446e+03
 Inf
 2.51333249e+03
 2.51332871e+03
 2.51327805e+03
 2.51359191e+03
 2.51357092e+03
 2.51342913e+03
 2.51367396e+03
 2.51377524e+03
 2.51360436e+03
 2.51332197e+03
 2.51327435e+03
 2.51331566e+03
 2.51328565e+03
 1.44273098e+269
 1.56987947e+269
 Inf
 7.47511587e+146
 8.33349166e+104
 3.10430834e+201
 6.70748372e+265
 1.10143516e+137
 1.21686967e+142
 1.61954933e+146
 3.40501099e+148
 2.14646321e+127
 6.10177192e+106
 2.74996262e+109
 9.20703166e+169
 Inf
 Inf
 3.91256838e+289
 3.94856341e+234
 2.60705985e+226
 4.64157304e+263
 Inf
 Inf
 5.50770777e+301
 7.62473528e+256
 Inf
 Inf
 3.01412018e+249
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.34354475e+255
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.65895699e+296
 4.97394993e+217
 1.13219149e+153
 1.38661347e+167
 8.55049386e+188
 6.05199090e+141
 2.96140123e+157
 2.72888565e+185
 2.78329254e+202
 1.15161016e+180
 8.29257914e+266
 Inf
 Inf
 3.46957460e+295
 1.81737817e+298
 4.58962801e+287
 Inf
 Inf
 2.51330007e+03
 2.51327640e+03
 2.51327438e+03
 Inf
 Inf
 4.97726345e+245
 Inf
 2.51328860e+03
 2.51329135e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327792e+03
 Inf
 Inf
 2.51327911e+03
 Inf
 Inf
 1.01299862e+194
 4.44412039e+134
 1.00453419e+261
 2.51331210e+03
 Inf
 1.20362003e+182
 3.66427499e+179
 1.90264364e+192
 2.64543014e+218
 8.55008759e+242
 Inf
 Inf
 2.51345860e+03
 2.51463653e+03
 2.51402401e+03
 2.51348329e+03
 2.51374883e+03
 2.51448109e+03
 2.51452992e+03
 2.51460194e+03
 2.51470943e+03
 2.51423122e+03
 2.51424455e+03
 2.51455425e+03
 2.51462271e+03
 2.51438477e+03
 2.51390517e+03
 2.51390930e+03
 2.51438059e+03
 2.51436551e+03
 2.51397492e+03
 2.51417185e+03
 2.51398829e+03
 2.51359191e+03
 2.51360201e+03
 2.51397659e+03
 2.51426856e+03
 2.51373659e+03
 2.51359080e+03
 2.51356666e+03
 2.51327456e+03
 Inf
 Inf
 2.51333012e+03
 2.51327669e+03
 Inf
 2.51332506e+03
 2.51349998e+03
 2.51330039e+03
 2.51327883e+03
 2.51371257e+03
 2.51419655e+03
 2.51373254e+03
 2.51360095e+03
 2.51357533e+03
 2.51375710e+03
 2.51499906e+03
 2.51458815e+03
 2.51428248e+03
 2.51444420e+03
 2.51419461e+03
 2.51395345e+03
 2.51394712e+03
 2.51391468e+03
 2.51371389e+03
 2.51403960e+03
 2.51415876e+03
 2.51387243e+03
 2.51354038e+03
 2.51334146e+03
 2.51342140e+03
 2.51369691e+03
 2.51359866e+03
 2.51372183e+03
 2.51412539e+03
 2.51391945e+03
 2.51371918e+03
 2.51438897e+03
 2.51474783e+03
 2.51380812e+03
 2.51335385e+03
 2.51330544e+03
 2.51338974e+03
 2.51336911e+03
 Inf
 2.51344766e+03
 2.51351536e+03
 2.51334146e+03
 2.51341611e+03
 2.51341914e+03
 2.51352922e+03
 2.51359416e+03
 2.51350856e+03
 2.51353426e+03
 2.51348329e+03
 2.51344029e+03
 2.51363474e+03
 2.51399167e+03
 2.51400710e+03
 2.51367774e+03
 2.51353224e+03
 2.51367145e+03
 2.51406062e+03
 2.51417946e+03
 2.51402574e+03
 2.51384357e+03
 2.51395016e+03
 2.51401203e+03
 2.51408193e+03
 2.51412174e+03
 2.51371521e+03
 2.51343466e+03
 2.51356023e+03
 2.51382719e+03
 2.51349434e+03
 2.51350661e+03
 2.51402747e+03
 2.51387241e+03
 2.51344684e+03
 Inf
 Inf
 Inf
 2.51327745e+03
 2.51340366e+03
 2.51338571e+03
 Inf
 Inf
 Inf
 Inf
 2.72869203e+158
 2.42533151e+188
 1.81107083e+270
 2.79390661e+235
 6.21017020e+218
 2.70325598e+250
 8.94535267e+249
 1.46269586e+237
 Inf
 Inf
 1.08883362e+301
 2.31156115e+254
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.27494795e+303
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.45834194e+286
 5.10319838e+185
 4.29069595e+138
 1.17235662e+132
 2.12905359e+143
 3.86826066e+190
 4.50767855e+287
 Inf
 3.30124461e+248
 1.72446926e+240
 Inf
 Inf
 Inf
 3.44780842e+219
 Inf
 2.51328742e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.06822438e+230
 Inf
 Inf
 Inf
 Inf
 2.51344273e+03
 2.51331486e+03
 Inf
 Inf
 Inf
 1.97090410e+305
 1.57610428e+280
 6.97726360e+230
 1.92815036e+265
 2.14300374e+233
 1.06454713e+242
 Inf
 2.51327412e+03
 7.55567525e+294
 5.33712140e+129
 3.14379316e+201
 2.45924378e+271
 5.34976929e+145
 6.81762797e+182
 5.30993806e+301
 5.67050420e+195
 5.90629651e+162
 2.85868012e+175
 Inf
 Inf
 Inf
 Inf
 Inf
 7.81029213e+296
 1.07304491e+268
 Inf
 Inf
 1.03495340e+133
 1.11068839e+112
 3.69618677e+194
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.50663647e+278
 3.84911192e+178
 2.07414884e+179
 1.17773622e+182
 1.72786681e+158
 2.20478896e+156
 4.91815927e+175
 1.02463757e+212
 1.75485399e+216
 4.22346914e+206
 5.58934127e+233
 6.31970308e+280
 1.33350029e+144
 1.11879702e+95
 5.68875424e+105
 1.68318464e+117
 5.12307941e+140
 1.46038860e+176
 1.59158649e+135
 7.64866334e+130
 1.50526190e+137
 5.13317242e+116
 3.62170642e+121
 6.34848076e+151
 6.70167529e+197
 1.57233868e+292
 1.64719355e+149
 7.75895667e+115
 1.39629133e+101
 6.92788090e+94
 1.96101220e+116
 9.95951218e+99
 1.55279296e+111
 4.04312522e+137
 7.40497278e+168
 2.77335009e+202
 1.96991461e+166
 4.02817851e+132
 1.18710297e+145
 1.51049831e+137
 9.77562131e+109
 1.85297647e+106
 1.73188391e+102
 1.64426649e+107
 6.64354368e+127
 4.13916320e+135
 7.35985593e+125
 1.33196059e+117
 3.32704507e+112
 1.00231183e+105
 6.12791119e+124
 3.10549497e+130
 1.68830956e+120
 5.18480273e+126
 1.53317468e+108
 2.25756295e+87
 1.18531514e+82
 3.01436888e+82
 1.30409336e+24
 5.71253480e+24
 2.36278412e+21
 7.35037835e+12
 2.61323487e+13
 4.52731368e+12
 3.23970588e+12
 4.28744158e+12
 6.16369911e+12
 7.67008196e+12
 1.50543011e+13
 3.20979427e+15
 3.10339375e+33
 1.18445624e+120
 1.14285893e+31
 3.98081988e+17
 7.33033979e+15
 3.01337760e+15
 1.33962920e+16
 9.05116660e+15
 5.69113308e+15
 2.93736575e+15
 6.49096026e+15
 4.60174873e+24
 5.50569949e+59
 2.11903844e+28
 2.22547624e+17
 3.50950680e+15
 1.63792748e+15
 2.56658871e+15
 5.19045666e+15
 2.62915277e+15
 1.30884140e+15
 7.64590109e+15
 1.99690960e+24
 1.43129780e+56
 1.69388725e+27
 1.77257125e+16
 2.22199240e+15
 2.87835320e+15
 8.72466468e+14
 2.43749006e+15
 5.02090169e+15
 1.97209575e+15
 2.63346276e+15
 3.41206292e+21
 5.19845753e+40
 7.50538525e+25
 9.96282801e+16
 3.84191609e+13
 6.69121160e+11
 2.80447546e+12
 7.76672654e+11
 1.07839891e+14
 8.05292520e+11
 1.89437633e+12
 8.83044250e+16
 2.91458889e+36
 1.55680674e+22
 2.16247722e+13
 1.32718427e+12
 7.48475221e+11
 6.26574304e+11
 5.56247267e+11
 6.01515470e+11
 8.15025065e+11
 7.91034740e+11
 2.29652474e+16
 1.94819283e+35
 5.10639510e+20
 4.26470537e+12
 2.95257045e+11
 5.21602972e+14
 4.94258909e+11
 5.58000953e+11
 6.63936368e+11
 8.69848452e+11
 6.60946687e+11
 2.50878634e+15
 5.78312125e+32
 6.65893968e+21
 9.06236380e+12
 6.23980544e+11
 4.78650854e+11
 4.12392786e+11
 4.23791027e+11
 5.42886204e+11
 6.69075258e+11
 7.23569565e+11
 2.43207435e+15
 2.46470241e+29
 5.53630562e+23
 6.66868027e+13
 4.44226252e+11
 2.33419640e+12
 3.25797910e+12
 4.55447031e+11
 4.80362178e+11
 3.94983494e+11
 6.70684439e+11
 2.42362052e+15
 1.85415682e+35
 2.28170239e+155
 2.96260067e+242
 1.25196545e+30
 1.26596054e+20
 1.61726380e+21
 4.13076453e+20
 2.13580842e+38
 4.79160938e+129
 8.42060270e+20
 1.34669216e+16
 1.60499301e+20
 9.87730514e+16
 9.06839378e+26
 4.67163155e+42
 7.45782679e+22
 2.23926937e+20
 2.32160479e+31
 1.47590434e+92
 8.26108436e+175
 3.23392954e+91
 9.06110375e+44
 3.87254834e+51
 2.10485620e+60
 2.31134339e+18
 3.87119275e+11
 1.11927814e+11
 4.92020040e+17
 4.47315268e+19
 6.92220432e+11
 2.84449053e+11
 8.30381622e+17
 5.85231561e+18
 2.49486363e+18
 1.62617390e+75
 1.81606618e+123
 2.90159451e+119
 7.63452721e+32
 2.62259032e+21
 7.99488401e+15
 1.42365198e+16
 4.05939490e+46
 4.04452409e+36
 3.00539049e+18
 5.75752973e+30
 Inf
 2.84061775e+22
 2.62616104e+16
 1.48851642e+46
 8.04467751e+30
 1.36735979e+18
 1.51816121e+33
 7.00074153e+21
 7.65880724e+16
 1.40490074e+26
 3.13220923e+21
 8.21635001e+19
 2.96808509e+21
 7.71785890e+21
 3.20022194e+42
 2.14521065e+42
 2.75234823e+20
 2.29908885e+21
 1.14968552e+40
 2.19492315e+226
 3.73860208e+160
 7.38690544e+73
 3.65954245e+48
 2.21709055e+44
 1.30553397e+50
 3.47067519e+46
 1.10359088e+39
 3.30418416e+37
 2.24681487e+35
 7.51494419e+51
 1.34190767e+20
 3.74590164e+11
 4.36875672e+12
 1.00934859e+20
 1.07334551e+20
 2.53632351e+11
 6.37043859e+11
 7.14276683e+20
 1.28388635e+19
 3.40548728e+19
 1.11764725e+170
 1.05170586e+301
 Inf
 1.24123759e+31
 2.75196823e+28
 Inf
 3.02435181e+28
 4.64729317e+19
 9.08209965e+24
 5.78490504e+27
 6.71641465e+77
 Inf
 6.70229764e+43
 1.57209075e+32
 1.19916225e+95
 3.78612625e+37
 4.10262671e+23
 7.66047618e+33
 9.24129533e+36
 2.12285668e+34
 1.48060799e+72
 Inf
 2.83304522e+40
 1.07149084e+31
 2.08259793e+41
 1.56238158e+39
 3.04181843e+42
 3.35531891e+39
 6.73053254e+39
 6.37396523e+40
 2.96346977e+41
 1.47163148e+45
 2.92583808e+45
 9.23615620e+45
 7.70980324e+46
 1.07588615e+48
 9.85319376e+50
 2.51094006e+46
 2.09816969e+47
 5.13089741e+50
 4.32758277e+50
 1.56164435e+47
 4.44045679e+43
 4.91096748e+45
 6.42870924e+107
 2.51330474e+03
 1.80778393e+62
 3.80919593e+28
 8.38819970e+50
 2.51329577e+03
 2.51332825e+03
 2.51340081e+03
 2.51331486e+03
 2.51329378e+03
 2.51340152e+03
 2.51332551e+03
 Inf
 2.51327413e+03
 2.51328608e+03
 2.51327501e+03
 Inf
 Inf
 2.51327484e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.18363549e+300
 6.23743459e+277
 3.90655712e+279
 Inf
 2.78586473e+302
 5.25049282e+140
 3.38595742e+222
 Inf
 Inf
 2.51327805e+03
 2.51328481e+03
 Inf
 Inf
 2.51329434e+03
 2.51343787e+03
 2.51342678e+03
 3.60896059e+146
 2.78726982e+91
 1.44490965e+185
 2.27844716e+212
 2.72031505e+198
 6.96538577e+274
 Inf
 1.48253145e+237
 7.33865740e+255
 2.58204954e+281
 2.90355468e+224
 4.38909478e+170
 2.56045394e+164
 8.03229056e+232
 Inf
 Inf
 Inf
 Inf
 2.35309612e+253
 Inf
 1.57934236e+280
 1.39995537e+303
 Inf
 Inf
 1.10620123e+248
 7.04399062e+187
 8.26365843e+222
 3.15422041e+284
 1.00371358e+192
 2.19102707e+129
 8.30629679e+104
 1.76565880e+99
 4.76150037e+133
 6.36222978e+180
 3.23122346e+105
 1.10787514e+93
 2.53841799e+133
 2.57146891e+140
 9.15922059e+126
 1.27199076e+130
 2.64209950e+104
 1.08110030e+94
 2.05116662e+141
 9.61884830e+174
 1.33309561e+177
 1.05295848e+242
 3.40751521e+219
 4.07557266e+177
 2.51328362e+03
 Inf
 3.36902229e+152
 3.59506268e+180
 1.15585035e+135
 1.40504251e+125
 3.04992134e+143
 5.09807856e+203
 5.63554881e+125
 1.99193930e+80
 4.59098968e+85
 1.24340639e+111
 1.10501417e+107
 2.89125973e+92
 7.85178728e+86
 1.46960247e+89
 2.82730873e+101
 1.17075333e+54
 5.82601126e+22
 1.99963098e+17
 1.07709748e+18
 2.93386206e+17
 1.00514046e+18
 1.38916749e+17
 7.36620932e+16
 1.63025034e+17
 4.22444143e+19
 6.51763085e+34
 7.24158669e+35
 6.87146770e+19
 1.39542041e+17
 3.33409519e+17
 7.76399082e+16
 5.31214362e+16
 1.05952497e+17
 5.46195861e+16
 1.08107064e+17
 7.61120990e+19
 1.08935825e+37
 3.88678860e+40
 1.83740097e+19
 7.31309503e+15
 3.00628587e+16
 2.46088193e+16
 6.36253701e+15
 1.33317942e+16
 2.03283360e+16
 2.36080937e+16
 4.24617839e+20
 3.18043524e+42
 6.75552025e+47
 1.21961539e+20
 2.51373039e+15
 5.79187384e+15
 1.50267650e+16
 1.38595035e+14
 4.26671703e+12
 6.91319605e+12
 8.14616613e+12
 2.37100039e+15
 1.65155273e+30
 1.57883042e+35
 1.38511603e+16
 8.19856107e+12
 2.52490352e+13
 4.49380001e+12
 9.51444245e+12
 4.10399787e+13
 4.99048731e+12
 6.05059307e+12
 1.63535674e+14
 1.11400188e+24
 1.08666254e+35
 3.75338288e+16
 5.24925391e+12
 2.91408003e+13
 1.06329526e+13
 1.13098593e+13
 5.59502458e+12
 7.31458564e+12
 2.31400313e+13
 1.81111855e+14
 5.33231003e+24
 1.40953775e+38
 1.70397845e+16
 4.33070544e+12
 2.26308247e+13
 3.15272190e+12
 3.87225980e+12
 6.32156642e+12
 2.89710964e+13
 7.09932339e+12
 6.21606059e+13
 3.46007272e+24
 3.01662949e+39
 1.32764534e+17
 1.04481390e+13
 3.09046802e+13
 8.50757939e+12
 7.07755610e+12
 8.64297111e+12
 8.44561924e+12
 7.99218665e+12
 1.83428127e+14
 6.19738511e+26
 8.06107541e+42
 5.18241648e+17
 6.07821101e+23
 2.91692769e+167
 1.77551916e+29
 1.91926255e+20
 2.16341569e+26
 1.28778500e+18
 1.92204008e+17
 1.57023641e+42
 5.68079258e+77
 3.35050074e+29
 2.03524943e+21
 6.26050644e+20
 1.98005345e+21
 2.11547728e+36
 1.30303066e+35
 6.88123528e+20
 1.96579365e+21
 4.72357871e+36
 7.42202112e+207
 2.45472705e+49
 1.41321660e+26
 2.52659736e+30
 4.69786515e+29
 8.20391157e+43
 Inf
 1.39663091e+21
 7.47443959e+11
 2.39466502e+15
 2.42506437e+46
 2.04319768e+21
 3.70192053e+11
 2.02307431e+15
 1.04287398e+48
 3.61768947e+299
 Inf
 Inf
 5.05908118e+24
 3.80431474e+17
 8.25031131e+44
 6.70452609e+38
 1.62744424e+38
 Inf
 2.46276278e+24
 3.32763899e+17
 2.13869203e+21
 8.85692721e+17
 6.83617942e+28
 1.62282154e+40
 1.07115098e+21
 8.30020960e+19
 3.14073139e+20
 7.38364831e+30
 1.26468373e+201
 3.59775401e+44
 3.06527602e+22
 5.67641042e+19
 7.63684236e+17
 2.73852932e+16
 5.12520187e+15
 9.53408908e+14
 2.71221782e+14
 6.11181132e+25
 3.34152501e+30
 1.68340502e+31
 4.06447028e+21
 8.64638015e+11
 1.24925754e+14
 2.05469894e+32
 1.46166789e+21
 9.08847421e+11
 5.12917059e+14
 9.08665434e+38
 Inf
 Inf
 Inf
 1.29984902e+42
 2.31142076e+42
 2.51327587e+03
 5.02139285e+24
 1.07837690e+18
 8.92565519e+22
 5.82773439e+17
 6.58395483e+24
 1.08266192e+36
 1.12358124e+23
 1.02755048e+20
 1.91410212e+20
 5.82650162e+20
 7.67747369e+20
 2.23036486e+20
 3.97059536e+20
 1.00089506e+21
 4.25960975e+20
 8.79140900e+20
 7.20610070e+20
 2.91717050e+20
 3.50793621e+20
 4.88437500e+20
 1.87584988e+21
 5.18779444e+21
 4.61198860e+21
 1.74676614e+21
 2.37187957e+20
 1.78132805e+20
 7.76690892e+35
 1.08622076e+241
 4.08315299e+33
 1.40872734e+18
 1.40080049e+32
 Inf
 2.51327925e+03
 Inf
 2.51328231e+03
 2.51328045e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330580e+03
 Inf
 Inf
 9.50554127e+205
 2.78910950e+259
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.85686281e+215
 6.60123634e+181
 2.49855246e+221
 5.68346168e+169
 2.86294208e+175
 Inf
 4.07109468e+227
 3.41035404e+295
 2.74705098e+302
 Inf
 4.89641189e+273
 4.28364626e+225
 8.71875983e+288
 Inf
 2.73226019e+275
 1.85897866e+200
 Inf
 Inf
 Inf
 Inf
 2.51329135e+03
 2.51329188e+03
 4.40538359e+246
 8.52191950e+258
 Inf
 Inf
 5.49462237e+306
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.87616460e+290
 8.80155932e+288
 Inf
 Inf
 4.28948809e+206
 Inf
 Inf
 Inf
 1.85260347e+298
 8.00762005e+257
 Inf
 Inf
 Inf
 8.95234632e+207
 1.79204707e+298
 7.06182630e+243
 3.67697323e+145
 3.13313801e+186
 4.79820219e+273
 2.31377086e+173
 9.05618510e+209
 5.39078357e+306
 8.92751903e+207
 Inf
 Inf
 Inf
 Inf
 6.33084343e+239
 Inf
 2.51330303e+03
 Inf
 2.51327756e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.64543285e+296
 Inf
 Inf
 2.51328061e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 6.82372266e+270
 2.45622371e+278
 1.94065701e+265
 1.36553040e+198
 5.18587676e+191
 6.49094365e+179
 1.24133187e+183
 4.09565758e+207
 8.68669683e+288
 1.57670975e+308
 8.67024437e+196
 6.96293816e+274
 Inf
 Inf
 8.84420588e+288
 3.71056737e+192
 Inf
 2.51328342e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327469e+03
 2.51327432e+03
 2.51328836e+03
 2.51329578e+03
 Inf
 Inf
 2.51328249e+03
 Inf
 Inf
 2.51341988e+03
 2.51346988e+03
 2.51333106e+03
 2.51332779e+03
 2.51333249e+03
 2.51333443e+03
 2.51328481e+03
 2.51335725e+03
 2.51336668e+03
 2.51327469e+03
 2.51329818e+03
 2.51331607e+03
 2.51457457e+03
 2.51926089e+03
 2.52011802e+03
 2.52097968e+03
 2.52115832e+03
 2.51749325e+03
 2.51447891e+03
 2.51381983e+03
 2.51380246e+03
 2.51381103e+03
 2.51379513e+03
 2.51394365e+03
 2.51379800e+03
 2.51373255e+03
 2.51387706e+03
 2.51373524e+03
 2.51350473e+03
 2.51343706e+03
 2.51372985e+03
 2.51393717e+03
 2.51367522e+03
 2.51371255e+03
 2.51369820e+03
 2.51331366e+03
 2.51327631e+03
 2.51328401e+03
 Inf
 Inf
 Inf
 1.46623756e+222
 2.06987496e+190
 5.35214386e+236
 Inf
 2.51332024e+03
 2.51348786e+03
 2.51351536e+03
 2.51366272e+03
 2.51359079e+03
 2.51361588e+03
 2.51376542e+03
 2.51370600e+03
 2.51353224e+03
 2.51353520e+03
 2.51358080e+03
 2.51347252e+03
 2.51407301e+03
 2.51433714e+03
 2.51378655e+03
 2.51376691e+03
 2.51405008e+03
 2.51414016e+03
 2.51405358e+03
 2.51392427e+03
 2.51423511e+03
 2.51490887e+03
 2.51450079e+03
 2.51408015e+03
 2.51416618e+03
 2.51421767e+03
 2.51390992e+03
 2.51399164e+03
 2.51422928e+03
 2.51414195e+03
 2.51434737e+03
 2.51459508e+03
 2.51454518e+03
 2.51400011e+03
 2.51370471e+03
 2.51375019e+03
 2.51414198e+03
 2.51352821e+03
 2.51340582e+03
 2.51436392e+03
 2.51453645e+03
 2.51432076e+03
 2.51405359e+03
 2.51387861e+03
 2.51392907e+03
 2.51375158e+03
 2.51348511e+03
 Inf
 1.09566639e+282
 1.04566089e+276
 Inf
 2.51330039e+03
 2.51328608e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.42819746e+293
 2.50903967e+203
 Inf
 2.51345605e+03
 2.51423318e+03
 2.51404130e+03
 2.51386172e+03
 2.51390673e+03
 2.51390040e+03
 2.51422152e+03
 2.51451852e+03
 2.51449838e+03
 2.51338839e+03
 Inf
 2.51327621e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 3.79363118e+297
 Inf
 2.51327650e+03
 Inf
 Inf
 Inf
 Inf
 2.51327604e+03
 2.51327435e+03
 2.51332641e+03
 2.51328029e+03
 Inf
 Inf
 Inf
 2.51327460e+03
 Inf
 2.51327578e+03
 2.51340010e+03
 2.51339450e+03
 2.51329268e+03
 2.51343786e+03
 2.51332197e+03
 1.02460814e+279
 3.19767337e+186
 1.07540751e+204
 Inf
 3.52378077e+261
 2.13924313e+182
 1.02187106e+261
 7.28416420e+294
 1.96415920e+194
 1.78604605e+298
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329109e+03
 Inf
 Inf
 2.51327540e+03
 Inf
 9.30043023e+271
 Inf
 2.51327495e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327897e+03
 2.51330169e+03
 2.51328697e+03
 2.51327555e+03
 2.51330337e+03
 2.51331406e+03
 Inf
 Inf
 Inf
 2.51328304e+03
 Inf
 3.77464384e+297
 2.51339042e+03
 2.51341167e+03
 2.51327435e+03
 Inf
 Inf
 Inf
 Inf
 2.51327570e+03
 2.51327414e+03
 Inf
 2.51327925e+03
 2.51335052e+03
 2.51332551e+03
 Inf
 Inf
 Inf
 9.79473275e+210
 1.15297746e+180
 6.43749454e+180
 Inf
 2.51327548e+03
 Inf
 Inf
 Inf
 7.77796002e+283
 2.51338439e+03
 2.51484594e+03
 2.51453173e+03
 2.51476228e+03
 2.51432483e+03
 2.51457228e+03
 2.51554590e+03
 2.51603430e+03
 2.51576985e+03
 2.51538984e+03
 2.51518951e+03
 2.51499647e+03
 2.51487601e+03
 2.51504636e+03
 2.51450964e+03
 2.51406063e+03
 2.51428645e+03
 2.51554889e+03
 2.51610748e+03
 2.51438059e+03
 2.51426074e+03
 2.51563974e+03
 2.51614109e+03
 2.51480874e+03
 2.51402576e+03
 2.51462030e+03
 2.51514300e+03
 2.51464114e+03
 2.51464599e+03
 2.51477446e+03
 2.51498864e+03
 2.51450081e+03
 2.51410533e+03
 2.51434119e+03
 2.51396331e+03
 2.51400005e+03
 2.51462032e+03
 2.51540725e+03
 2.51482849e+03
 2.51407480e+03
 2.51420222e+03
 2.51445718e+03
 2.51453190e+03
 2.51459508e+03
 2.51508364e+03
 2.51527018e+03
 2.51469042e+03
 2.51482100e+03
 2.51482661e+03
 2.51399335e+03
 2.51358744e+03
 2.51358929e+03
 2.51371785e+03
 2.51358633e+03
 2.51335441e+03
 2.51330615e+03
 2.51369433e+03
 2.51399337e+03
 2.51338506e+03
 2.51342991e+03
 2.51456100e+03
 2.51489124e+03
 2.51407123e+03
 2.51379370e+03
 2.51372585e+03
 2.51460651e+03
 2.51483111e+03
 2.51465046e+03
 2.51548929e+03
 2.51515922e+03
 2.51445070e+03
 2.51417566e+03
 2.51424877e+03
 2.51441857e+03
 2.51433094e+03
 2.51348238e+03
 2.51338506e+03
 2.51359980e+03
 2.51349621e+03
 2.51330236e+03
 2.51328110e+03
 2.51374474e+03
 2.51349248e+03
 Inf
 2.51327690e+03
 2.51328544e+03
 Inf
 2.51334942e+03
 2.51339800e+03
 2.51327438e+03
 Inf
 Inf
 2.51334618e+03
 2.51331133e+03
 2.51329406e+03
 2.51327501e+03
 Inf
 2.51327424e+03
 2.51329666e+03
 2.51338439e+03
 2.51327417e+03
 Inf
 2.51328630e+03
 2.51347697e+03
 2.51328957e+03
 Inf
 2.51329462e+03
 2.51335726e+03
 2.51330405e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.59327652e+266
 1.72939489e+186
 2.69299819e+302
 2.51327479e+03
 2.51328565e+03
 2.51328213e+03
 2.51327650e+03
 2.51327612e+03
 2.51332372e+03
 2.51327595e+03
 Inf
 Inf
 2.51331366e+03
 2.51338506e+03
 2.51335783e+03
 2.51329322e+03
 2.51327640e+03
 Inf
 2.51327897e+03
 Inf
 Inf
 2.51328093e+03
 2.51340945e+03
 2.51341914e+03
 2.51332284e+03
 2.51328461e+03
 2.51329757e+03
 2.51334618e+03
 2.51327830e+03
 2.51329666e+03
 2.51355284e+03
 2.51343867e+03
 2.51347163e+03
 2.51359191e+03
 2.51338907e+03
 2.51328630e+03
 2.51336912e+03
 2.51367020e+03
 2.51355810e+03
 2.51362642e+03
 2.51362886e+03
 2.51342835e+03
 2.51368791e+03
 2.51366393e+03
 2.51359416e+03
 2.51364677e+03
 2.51349341e+03
 2.51343070e+03
 2.51337035e+03
 2.51360550e+03
 2.51345183e+03
 Inf
 2.51328812e+03
 2.51329696e+03
 Inf
 Inf
 Inf
 2.51327533e+03
 2.51330544e+03
 2.51327501e+03
 Inf
 2.51342602e+03
 2.51337471e+03
 2.51339246e+03
 2.51366272e+03
 2.51346376e+03
 2.51340366e+03
 2.51380522e+03
 2.51361588e+03
 2.51344849e+03
 2.51357860e+03
 2.51346289e+03
 2.51345436e+03
 2.51343626e+03
 2.51339246e+03
 2.51358633e+03
 2.51360897e+03
 2.51356343e+03
 2.51351927e+03
 2.51342835e+03
 2.51343625e+03
 2.51330103e+03
 2.51352026e+03
 2.51381542e+03
 2.51334942e+03
 2.51328195e+03
 2.51327883e+03
 Inf
 Inf
 2.51331327e+03
 2.51341686e+03
 2.50871972e+03
 2.51327438e+03
 Inf
 Inf
 Inf
 2.51328652e+03
 2.51330759e+03
 2.51334250e+03
 2.51346987e+03
 Inf
 Inf
 2.51336015e+03
 2.51368536e+03
 2.51327983e+03
 Inf
 2.51329849e+03
 2.51329032e+03
 2.51346203e+03
 2.51349622e+03
 2.51342217e+03
 2.51329406e+03
 2.51327452e+03
 2.51332328e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.80940805e+235
 Inf
 Inf
 Inf
 Inf
 2.51327756e+03
 2.51328143e+03
 2.51329350e+03
 2.51153527e+03
 2.51329787e+03
 2.51329057e+03
 Inf
 Inf
 2.51329519e+03
 2.51330906e+03
 2.51327438e+03
 Inf
 2.51329519e+03
 2.51342913e+03
 Inf
 Inf
 2.51328697e+03
 Inf
 2.51328267e+03
 2.51337853e+03
 2.51328789e+03
 Inf
 2.51332687e+03
 Inf
 Inf
 2.51328461e+03
 2.51327456e+03
 Inf
 2.51327711e+03
 2.51335611e+03
 2.51335495e+03
 2.51330371e+03
 2.51329057e+03
 2.51329378e+03
 2.51331566e+03
 2.51338638e+03
 2.51338710e+03
 2.51329057e+03
 Inf
 2.51330943e+03
 2.51328045e+03
 Inf
 Inf
 2.51327768e+03
 2.51327570e+03
 2.51329322e+03
 2.51337853e+03
 2.51332733e+03
 2.51327587e+03
 Inf
 2.51330337e+03
 2.51341239e+03
 2.51331689e+03
 Inf
 Inf
 2.51327420e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327659e+03
 2.51327631e+03
 Inf
 Inf
 Inf
 Inf
 2.51327484e+03
 2.51331855e+03
 2.51327701e+03
 Inf
 2.51332461e+03
 2.51337471e+03
 2.51327520e+03
 2.51329214e+03
 2.51336790e+03
 2.51354450e+03
 2.51343706e+03
 2.51334512e+03
 2.51338506e+03
 2.51345689e+03
 2.51332328e+03
 Inf
 2.51342835e+03
 2.51341460e+03
 2.51330474e+03
 2.51334672e+03
 2.51346987e+03
 2.51372986e+03
 2.51364920e+03
 2.51338638e+03
 2.51335107e+03
 2.51336309e+03
 2.51330236e+03
 2.51332551e+03
 2.51345605e+03
 2.51336015e+03
 2.51341018e+03
 2.51348602e+03
 2.51354347e+03
 2.51344029e+03
 2.51327968e+03
 2.51328362e+03
 2.51333890e+03
 2.51331897e+03
 2.51329519e+03
 2.51332551e+03
 2.51339660e+03
 2.51336368e+03
 2.51330651e+03
 2.51329268e+03
 2.51327435e+03
 Inf
 2.51337221e+03
 2.51346899e+03
 2.51330371e+03
 2.51328630e+03
 2.51328077e+03
 2.51328884e+03
 Inf
 Inf
 Inf
 2.51327413e+03
 Inf
 Inf
 Inf
 Inf
 2.51329818e+03
 2.51360208e+03
 2.51356663e+03
 2.51334406e+03
 2.51340799e+03
 2.51390675e+03
 2.51450967e+03
 2.51399334e+03
 2.51368409e+03
 2.51352721e+03
 2.51343867e+03
 2.51336790e+03
 2.51337283e+03
 2.51348511e+03
 2.51361938e+03
 2.51373930e+03
 2.51356880e+03
 2.51347787e+03
 2.51352422e+03
 2.51349997e+03
 2.51335107e+03
 2.51338839e+03
 2.51399504e+03
 2.51401068e+03
 2.51333690e+03
 2.51332918e+03
 2.51387243e+03
 2.51399678e+03
 2.51369176e+03
 2.51367400e+03
 2.51374610e+03
 2.51357860e+03
 2.51364193e+03
 2.51373120e+03
 2.51379657e+03
 2.51367774e+03
 2.51356344e+03
 2.51369562e+03
 2.51360436e+03
 2.51340799e+03
 2.51343386e+03
 2.51364315e+03
 2.51346462e+03
 2.51352421e+03
 2.51367396e+03
 2.51361821e+03
 2.51363473e+03
 2.51352621e+03
 2.51354553e+03
 2.51379226e+03
 2.51364073e+03
 2.51384507e+03
 2.51406770e+03
 2.51372316e+03
 2.51366274e+03
 2.51360208e+03
 2.51360431e+03
 2.51351829e+03
 2.51331566e+03
 2.51076032e+03
 2.51350856e+03
 2.51333011e+03
 Inf
 Inf
 2.51330071e+03
 2.51337158e+03
 2.51345605e+03
 2.51374202e+03
 2.51347075e+03
 2.51329406e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331897e+03
 2.51342447e+03
 2.51330869e+03
 Inf
 2.51327843e+03
 2.51330832e+03
 2.51327604e+03
 2.51329057e+03
 2.51346376e+03
 2.51343947e+03
 2.51344766e+03
 2.51363235e+03
 2.51354347e+03
 2.51336790e+03
 2.51332825e+03
 2.51331772e+03
 2.51334302e+03
 2.51339042e+03
 2.51335217e+03
 2.51339178e+03
 2.51350953e+03
 2.51358745e+03
 2.51331288e+03
 2.51327514e+03
 2.51335841e+03
 2.51356773e+03
 2.51395345e+03
 2.51383607e+03
 2.51420035e+03
 2.51468335e+03
 2.51396496e+03
 2.51366273e+03
 2.51396827e+03
 2.51427849e+03
 2.51411076e+03
 2.51462956e+03
 2.51581731e+03
 2.51499380e+03
 2.51880746e+03
 2.52795632e+03
 2.52915951e+03
 2.52830747e+03
 2.52804173e+03
 2.52497110e+03
 2.52101273e+03
 2.51930007e+03
 2.51715328e+03
 2.51704965e+03
 2.51739173e+03
 2.51640597e+03
 2.51580784e+03
 2.51551609e+03
 2.51422152e+03
 2.51368792e+03
 2.51383161e+03
 2.51416248e+03
 2.51425870e+03
 2.51435358e+03
 2.51438691e+03
 2.51426854e+03
 2.51460421e+03
 2.51433095e+03
 2.51448105e+03
 2.51527291e+03
 2.51481117e+03
 2.51431468e+03
 2.51469513e+03
 2.51507298e+03
 2.51456777e+03
 2.51500425e+03
 2.51547457e+03
 2.51489615e+03
 2.51490776e+03
 2.51461341e+03
 2.51480625e+03
 2.51490637e+03
 2.51431264e+03
 2.51440999e+03
 2.51520048e+03
 2.51533260e+03
 2.51466920e+03
 2.51476947e+03
 2.51609062e+03
 2.51605411e+03
 2.51502264e+03
 2.51471424e+03
 2.51468827e+03
 2.51492670e+03
 2.51471416e+03
 2.51445934e+03
 2.51453402e+03
 2.51464816e+03
 2.51448107e+03
 2.51418511e+03
 2.51483099e+03
 2.51511865e+03
 2.51462493e+03
 2.51501210e+03
 2.51543054e+03
 2.51532938e+03
 2.51475988e+03
 2.51502258e+03
 2.51540724e+03
 2.51436392e+03
 2.51365043e+03
 2.51353325e+03
 2.51342913e+03
 2.51333541e+03
 2.51342064e+03
 2.51362643e+03
 2.51376822e+03
 2.51390992e+03
 2.51340726e+03
 Inf
 Inf
 2.51327444e+03
 2.51327680e+03
 2.51344110e+03
 2.51339869e+03
 2.51329636e+03
 2.51342524e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331648e+03
 2.51356130e+03
 2.51361242e+03
 2.51347163e+03
 2.51338639e+03
 2.51349998e+03
 2.51357641e+03
 2.51331249e+03
 2.51341018e+03
 2.51362761e+03
 2.51362276e+03
 2.51364799e+03
 2.51333640e+03
 2.51350282e+03
 2.51368920e+03
 2.51341912e+03
 2.51350760e+03
 2.51374474e+03
 2.51378516e+03
 2.51349903e+03
 2.51339178e+03
 2.51359191e+03
 2.51350856e+03
 2.51333443e+03
 2.51338572e+03
 2.51353022e+03
 2.51375848e+03
 2.51359303e+03
 2.51350282e+03
 2.51363953e+03
 2.51381250e+03
 2.51370080e+03
 2.51344519e+03
 2.51359867e+03
 2.51365533e+03
 2.51352026e+03
 2.51350093e+03
 2.51340081e+03
 2.51345351e+03
 2.51343070e+03
 2.51376682e+03
 2.51434945e+03
 2.51356989e+03
 2.51337221e+03
 2.51393877e+03
 2.51403793e+03
 2.51353426e+03
 2.51358854e+03
 2.51379083e+03
 2.51371652e+03
 2.51347966e+03
 2.51327680e+03
 Inf
 2.51327456e+03
 Inf
 Inf
 2.51327711e+03