6.65157715e+21
 1.13544118e+26
 1.04150427e+33
 2.50906651e+40
 4.29140306e+41
 2.96619112e+41
 4.73283741e+45
 1.07313975e+51
 1.10951551e+50
 1.55354225e+50
 1.03115719e+51
 5.14097457e+54
 5.69935298e+61
 4.47315412e+60
 2.13390253e+68
 1.03246823e+73
 1.69284925e+74
 1.44466657e+86
 7.44785186e+75
 1.31676690e+87
 7.40382465e+176
 4.17987499e+158
 2.32145237e+108
 3.59757530e+102
 2.62945981e+198
 Inf
 2.01839077e+206
 4.48651963e+184
 4.63821642e+139
 3.27192534e+174
 2.41039781e+278
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.00610795e+298
 4.65373197e+231
 7.34653656e+170
 2.07882126e+205
 Inf
 Inf
 2.85340544e+259
 5.79214048e+150
 2.26948358e+167
 Inf
 2.51328127e+03
 Inf
 Inf
 2.35804254e+254
 Inf
 2.51331446e+03
 Inf
 9.95155313e+125
 6.30128039e+143
 2.30409598e+177
 3.56818289e+142
 9.32904084e+162
 3.21981633e+134
 1.67558130e+101
 8.86783327e+91
 9.65269820e+115
 7.58927555e+145
 7.33088510e+183
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 5.69674101e+202
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 2.39541089e+65
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 7.64396334e+91
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 5.56942871e+125
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 4.86990297e+113
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 3.97572986e+103
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 1.87258578e+108
 3.92587257e+95
 8.33312607e+96
 4.12272165e+112
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 1.10291042e+107
 5.09136843e+116
 1.20039308e+81
 8.15523748e+62
 1.23101237e+59
 1.39908437e+66
 2.20349687e+66
 3.59257418e+70
 6.95753371e+92
 2.73527526e+109
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 2.90962637e+83
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 2.76558618e+90
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 2.78926889e+128
 8.34580512e+138
 2.48040057e+107
 4.70234851e+105
 2.26287717e+110
 7.00498809e+103
 2.30039955e+98
 1.72726589e+102
 2.81344701e+108
 3.72327658e+94
 1.25649083e+94
 1.67517924e+117
 6.32791724e+131
 2.57556832e+133
 4.32098101e+110
 9.45085970e+114
 1.20811677e+124
 7.43988188e+106
 9.78492614e+83
 6.47625710e+74
 3.65787173e+96
 8.50903435e+87
 1.14476268e+79
 5.64379570e+105
 3.70119988e+90
 2.56267903e+87
 4.14540718e+99
 9.73859091e+87
 9.62578587e+109
 4.60692150e+111
 2.74909802e+103
 3.10381848e+118
 1.95220430e+98
 1.98412971e+101
 5.38437047e+95
 2.27434162e+96
 1.36190228e+119
 7.89729416e+119
 7.61664508e+130
 1.94041595e+166
 1.60792853e+189
 4.57948506e+165
 5.23568408e+126
 4.62819030e+111
 2.76713893e+165
 3.22627918e+125
 9.62409550e+74
 6.75064513e+100
 3.26387257e+219
 7.34384855e+147
 1.03302911e+226
 Inf
 4.14392700e+276
 6.58446641e+158
 3.27227743e+152
 6.57005042e+270
 1.93561283e+207
 1.59453765e+159
 1.11137920e+155
 1.90229012e+209
 Inf
 Inf
 Inf
 Inf
 2.51327452e+03
 2.51328587e+03
 Inf
 Inf
 5.52147814e+301
 5.81788700e+189
 3.40663986e+169
 1.10186555e+123
 1.00143395e+121
 2.01710784e+171
 1.14541483e+180
 1.00272281e+228
 Inf
 Inf
 Inf
 2.20146903e+300
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.11305426e+179
 2.77983818e+202
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.30470155e+225
 4.02654007e+276
 Inf
 Inf
 Inf
 2.51343546e+03
 2.51336912e+03
 Inf
 Inf
 Inf
 1.74909269e+130
 5.66619916e+130
 7.93374042e+232
 2.95474026e+136
 1.95562021e+96
 6.65719481e+128
 6.75482218e+230
 4.50068231e+184
 5.71919990e+117
 7.01425973e+129
 1.28517243e+188
 3.99469141e+155
 2.49328738e+113
 8.57384834e+131
 3.70138854e+167
 5.02608434e+185
 2.52678710e+228
 2.70757242e+250
 Inf
 3.86355789e+268
 2.55873608e+228
 7.24551513e+294
 Inf
 Inf
 1.49135852e+237
 2.51328765e+03
 2.51332965e+03
 2.61023342e+271
 8.36410864e+222
 2.13122916e+233
 Inf
 Inf
 4.23601984e+209
 2.28864781e+212
 5.06537342e+185
 Inf
 2.51328110e+03
 Inf
 3.54401638e+222
 5.70945176e+213
 3.32969556e+293
 3.71183969e+192
 9.97162958e+193
 8.71624995e+298
 Inf
 Inf
 Inf
 2.20641665e+178
 3.66984829e+140
 5.68472232e+144
 2.25406946e+212
 Inf
 Inf
 3.20808012e+186
 3.89662417e+173
 Inf
 2.51329818e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.93286725e+279
 2.81981656e+259
 9.75991130e+113
 6.82542166e+89
 6.78707351e+126
 1.47350515e+185
 1.73879945e+150
 1.29333626e+140
 1.21071203e+171
 1.02387964e+276
 7.05582534e+274
 5.23232337e+191
 4.58759876e+231
 2.45588347e+188
 1.53155665e+136
 3.63992926e+140
 5.20390207e+156
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51333059e+03
 2.51328481e+03
 Inf
 Inf
 1.07239583e+282
 1.08865516e+204
 1.50799600e+163
 2.66499968e+230
 2.76299122e+185
 7.30864956e+142
 1.01511630e+212
 Inf
 Inf
 2.51329519e+03
 2.51328342e+03
 Inf
 Inf
 Inf
 6.33045547e+239
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.69608044e+196
 2.51330509e+03
 2.51365779e+03
 2.51342293e+03
 2.51329032e+03
 Inf
 2.51327429e+03
 Inf
 Inf
 Inf
 2.51328908e+03
 2.51327490e+03
 2.51327817e+03
 2.51327469e+03
 9.10394249e+288
 1.58867668e+290
 Inf
 2.01020636e+288
 Inf
 Inf
 Inf
 7.46112341e+255
 5.27301644e+112
 3.39601105e+109
 4.35700782e+143
 1.89264109e+131
 8.42471270e+196
 Inf
 8.03638914e+257
 Inf
 Inf
 Inf
 2.51328565e+03
 2.51327474e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.53934420e+306
 4.91074002e+223
 2.51751633e+221
 Inf
 Inf
 Inf
 2.51327448e+03
 Inf
 2.20857737e+300
 1.07874775e+301
 2.62537779e+226
 Inf
 2.51327413e+03
 2.51328401e+03
 Inf
 Inf
 Inf
 2.51327733e+03
 2.51327659e+03
 Inf
 2.51327954e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 1.57688296e+280
 3.69207318e+161
 1.48925251e+185
 Inf
 2.51328304e+03
 Inf
 Inf
 5.16524006e+212
 8.30187933e+222
 1.43808536e+222
 4.74159296e+204
 1.84362563e+200
 2.51327587e+03
 2.51329548e+03
 1.12658621e+238
 Inf
 Inf
 1.35080056e+144
 4.17910162e+225
 Inf
 1.52905022e+185
 4.63904426e+211
 7.42870622e+194
 3.39796124e+272
 Inf
 2.08453379e+169
 3.13444638e+130
 2.04634441e+154
 1.58056516e+159
 2.48409623e+221
 2.51327465e+03
 2.51329032e+03
 Inf
 Inf
 Inf
 2.51328093e+03
 2.51327417e+03
 Inf
 2.48556828e+278
 2.51336309e+03
 2.51334512e+03
 4.78398298e+188
 Inf
 Inf
 5.55182408e+236
 1.93872186e+305
 1.02009252e+228
 9.98209930e+191
 Inf
 Inf
 Inf
 2.51365778e+03
 2.51341387e+03
 2.51345604e+03
 2.51339383e+03
 Inf
 Inf
 1.65919848e+296
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51397659e+03
 2.51617812e+03
 2.51602654e+03
 2.51590690e+03
 2.51650528e+03
 2.51637062e+03
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 2.51448766e+03
 2.51451871e+03
 2.51383908e+03
 2.51344849e+03
 2.51355599e+03
 2.51345351e+03
 Inf
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 2.51411625e+03
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 2.51485092e+03
 2.51448324e+03
 2.51387706e+03
 2.51361589e+03
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 2.51431660e+03
 2.51396497e+03
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 2.51334512e+03
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 2.51490379e+03
 2.51580154e+03
 2.51426062e+03
 2.51395183e+03
 2.51478176e+03
 2.51385412e+03
 Inf
 2.51337035e+03
 2.51389730e+03
 2.51384200e+03
 2.51376822e+03
 2.51357205e+03
 2.51335898e+03
 2.51329462e+03
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 2.51382714e+03
 2.51390201e+03
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 2.51362998e+03
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 2.51440370e+03
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 2.51401031e+03
 2.51440371e+03
 2.51403438e+03
 2.51365043e+03
 2.51461110e+03
 2.51469073e+03
 2.51411441e+03
 2.51408925e+03
 2.51436600e+03
 2.51510242e+03
 2.51450742e+03
 2.51488098e+03
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 2.51442921e+03
 2.51457675e+03
 2.51502791e+03
 2.51423902e+03
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 2.51339246e+03
 2.51384207e+03
 2.51460424e+03
 2.51444630e+03
 2.51387090e+03
 2.51327830e+03
 2.51334672e+03
 2.51389887e+03
 2.51380664e+03
 2.51327415e+03
 Inf
 2.51330474e+03
 2.51350377e+03
 2.51369563e+03
 2.51330474e+03
 Inf
 2.51340081e+03
 2.51336427e+03
 2.51339730e+03
 2.51692941e+03
 2.52161620e+03
 2.51870946e+03
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 2.52004894e+03
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 2.52099159e+03
 2.52188212e+03
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 2.52099688e+03
 2.52079320e+03
 2.52221175e+03
 2.52127996e+03
 2.52005945e+03
 2.51996880e+03
 2.52057099e+03
 2.52116291e+03
 2.51856235e+03
 2.51841452e+03
 2.51992530e+03
 2.51913463e+03
 2.51829614e+03
 2.51982304e+03
 2.51662793e+03
 2.51531535e+03
 2.51928993e+03
 2.52022725e+03
 2.52108494e+03
 2.52090666e+03
 2.51970666e+03
 2.52099577e+03
 2.52217652e+03
 2.51971664e+03
 2.51792884e+03
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 2.51557898e+03
 2.51560540e+03
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 2.49290294e+03
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 2.51644147e+03
 2.51850309e+03
 2.51993079e+03
 2.52001113e+03
 2.52024712e+03
 2.52115713e+03
 2.52187072e+03
 2.52091865e+03
 2.52051254e+03
 2.52036893e+03
 2.52010612e+03
 2.52012425e+03
 2.52030496e+03
 2.52104586e+03
 2.52106958e+03
 2.51810189e+03
 2.49049721e+03
 2.52107354e+03
 2.52312632e+03
 2.52051724e+03
 2.51914002e+03
 2.52082546e+03
 2.48645567e+03
 2.51997155e+03
 2.51901534e+03
 2.51877068e+03
 2.51880656e+03
 2.51811062e+03
 2.51858965e+03
 2.52018949e+03
 2.51943682e+03
 2.51875632e+03
 2.51931909e+03
 2.51866333e+03
 2.51764163e+03
 2.51746523e+03
 2.51974197e+03
 2.51840331e+03
 2.51511318e+03
 2.51534344e+03
 2.51750553e+03
 2.51779765e+03
 2.51666080e+03
 2.51437850e+03
 2.51329787e+03
 Inf
 Inf
 2.51329322e+03
 2.51348329e+03
 2.51346985e+03
 2.51337158e+03
 2.51333740e+03
 2.51354554e+03
 2.51406593e+03
 2.51491397e+03
 2.51430656e+03
 2.51395182e+03
 2.51469989e+03
 2.51475056e+03
 2.51417375e+03
 2.51374066e+03
 2.51396166e+03
 2.51426657e+03
 2.51406237e+03
 2.51393555e+03
 2.51446149e+03
 2.51469047e+03
 2.51455197e+03
 2.51570440e+03
 2.51494975e+03
 2.51423903e+03
 2.51446579e+03
 2.51456556e+03
 2.51432687e+03
 2.51457003e+03
 2.51542468e+03
 2.51427648e+03
 2.51358080e+03
 2.51346463e+03
 2.51430859e+03
 2.51473580e+03
 2.51432279e+03
 2.51449858e+03
 2.51503582e+03
 2.51535245e+03
 2.51468332e+03
 2.51444211e+03
 2.51400861e+03
 2.51359079e+03
 2.51338242e+03
 2.51328675e+03
 2.51331486e+03
 2.51344273e+03
 2.51363355e+03
 2.51361123e+03
 2.51362642e+03
 2.51342602e+03
 Inf
 2.51375158e+03
 2.51491398e+03
 2.51408728e+03
 2.51357314e+03
 2.51351928e+03
 2.51397326e+03
 2.51428249e+03
 2.51405533e+03
 2.51471895e+03
 2.51489628e+03
 2.51403439e+03
 2.50299537e+03
 2.51505699e+03
 2.51584917e+03
 2.51471417e+03
 2.51443783e+03
 2.51522261e+03
 2.51478417e+03
 2.51482832e+03
 2.51492927e+03
 2.51425471e+03
 2.51422170e+03
 2.51442495e+03
 2.51414754e+03
 2.51424486e+03
 2.51440161e+03
 2.51401031e+03
 2.51415684e+03
 2.51460193e+03
 2.51421764e+03
 2.51404310e+03
 2.51434943e+03
 2.51402058e+03
 2.51359079e+03
 2.51394527e+03
 2.51460653e+03
 2.51467882e+03
 2.51462722e+03
 2.51370994e+03
 2.51334942e+03
 2.51352821e+03
 2.51361822e+03
 2.51350377e+03
 2.51345605e+03
 2.51331689e+03
 2.51337853e+03
 2.51356989e+03
 2.51407480e+03
 2.51374747e+03
 2.51352422e+03
 2.51399503e+03
 2.51419084e+03
 2.51473335e+03
 2.51514300e+03
 2.49787910e+03
 2.51442922e+03
 2.51455191e+03
 2.51464351e+03
 2.51488859e+03
 2.51549228e+03
 2.51505695e+03
 2.51498877e+03
 2.51505430e+03
 2.51518947e+03
 2.51481614e+03
 2.49911846e+03
 2.51551899e+03
 2.51525039e+03
 2.51456778e+03
 2.51439532e+03
 2.51401716e+03
 2.51403774e+03
 2.51442069e+03
 2.51553692e+03
 2.51671233e+03
 2.51520046e+03
 2.51432689e+03
 2.51414944e+03
 2.51471656e+03
 2.49961915e+03
 2.51417753e+03
 2.51479889e+03
 2.51452068e+03
 2.51337346e+03
 Inf
 2.51330269e+03
 2.51334565e+03
 2.51332417e+03
 2.51050118e+03
 2.51337789e+03
 2.51346987e+03
 2.51354554e+03
 2.51374611e+03
 2.51396829e+03
 2.51415501e+03
 2.51428849e+03
 2.51387860e+03
 2.51426259e+03
 2.51442926e+03
 2.51383758e+03
 2.51429046e+03
 2.51494724e+03
 2.51524497e+03
 2.51398327e+03
 2.51352922e+03
 2.51441430e+03
 2.51492421e+03
 2.51458819e+03
 2.51442284e+03
 2.51460879e+03
 2.51478668e+03
 2.51475251e+03
 2.51424293e+03
 2.51409631e+03
 2.51406242e+03
 2.51437432e+03
 2.51454754e+03
 2.51485842e+03
 2.51543930e+03
 2.51525317e+03
 2.51463652e+03
 2.51448332e+03
 2.51494464e+03
 2.51454076e+03
 2.51427253e+03
 2.51500950e+03
 2.51572621e+03
 2.51500949e+03
 2.51427053e+03
 2.51414017e+03
 2.51357970e+03
 2.51338506e+03
 2.51341761e+03
 2.51334997e+03
 2.51332733e+03
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 2.51432285e+03
 2.51473093e+03
 2.51396662e+03
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 2.51328286e+03
 Inf
 2.51339521e+03
 2.51396994e+03
 2.51372984e+03
 2.51327533e+03
 Inf
 2.51354554e+03
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 2.51404831e+03
 Inf
 Inf
 2.51384057e+03
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 2.51388171e+03
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 2.51335956e+03
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 2.51337408e+03
 Inf
 2.51336668e+03
 2.51491142e+03
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 2.51562460e+03
 2.51591333e+03
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 Inf
 6.60973851e+179
 2.51331288e+03
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 Inf
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 Inf
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 2.51346464e+03
 2.51351243e+03
 2.51364073e+03
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 2.51463189e+03
 2.51530116e+03
 2.51443349e+03
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 2.51525048e+03
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 2.51505422e+03
 2.51587789e+03
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 2.51333394e+03
 2.51406591e+03
 2.51456556e+03
 2.51367145e+03
 2.51387704e+03
 2.51361588e+03
 2.51370079e+03
 2.51480629e+03
 2.51496551e+03
 2.51339521e+03
 Inf
 Inf
 Inf
 2.51396167e+03
 2.51435776e+03
 2.51428640e+03
 2.51502263e+03
 2.51449860e+03
 2.51369562e+03
 2.51393714e+03
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 2.51328029e+03
 2.51333201e+03
 2.51345351e+03
 2.51343307e+03
 2.51417564e+03
 2.51408362e+03
 2.51345604e+03
 2.51336488e+03
 2.51365901e+03
 2.51357531e+03
 2.51348786e+03
 2.51374884e+03
 2.51346549e+03
 2.51343948e+03
 2.51359867e+03
 2.51354969e+03
 2.51390517e+03
 2.51354554e+03
 2.51328249e+03
 Inf
 Inf
 2.51341912e+03
 2.51409449e+03
 2.51524213e+03
 2.51626003e+03
 2.51364678e+03
 Inf
 2.51372985e+03
 2.51441860e+03
 2.51378370e+03
 2.51481366e+03
 2.51421378e+03
 2.51327413e+03
 2.51368663e+03
 2.51523376e+03
 2.51462719e+03
 2.51455888e+03
 2.51446585e+03
 2.51426656e+03
 2.51466685e+03
 2.51487351e+03
 2.51435356e+03
 2.51403094e+03
 2.51411074e+03
 2.51415688e+03
 2.51441856e+03
 2.51395017e+03
 2.51375710e+03
 2.51404832e+03
 2.51412910e+03
 2.51429248e+03
 2.51497823e+03
 2.51443348e+03
 2.51391947e+03
 2.51486842e+03
 2.51514580e+03
 2.51364556e+03
 2.51374062e+03
 2.51456552e+03
 2.51413088e+03
 2.51358522e+03
 2.51378654e+03
 2.51510241e+03
 2.51551916e+03
 2.51464348e+03
 2.51403961e+03
 2.51494206e+03
 2.51583004e+03
 2.51530672e+03
 2.51481864e+03
 2.51471905e+03
 2.51426656e+03
 2.51402060e+03
 2.51371653e+03
 2.51353123e+03
 2.51386936e+03
 2.51359641e+03
 Inf
 1.05269925e+235
 Inf
 2.51357860e+03
 2.51412724e+03
 2.51496013e+03
 2.51492098e+03
 2.51341387e+03
 2.51328213e+03
 2.51373120e+03
 2.51479158e+03
 2.51456542e+03
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 2.51595550e+03
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 2.51540123e+03
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 2.51499123e+03
 2.51495844e+03
 2.51548338e+03
 2.51459277e+03
 2.51401545e+03
 2.51420799e+03
 2.51476231e+03
 2.51469026e+03
 2.51530677e+03
 2.51502521e+03
 2.51401373e+03
 2.51447233e+03
 2.51606069e+03
 2.51673832e+03
 2.51458593e+03
 2.51431068e+03
 2.51525886e+03
 2.51736363e+03
 2.51865452e+03
 2.51604076e+03
 2.51646932e+03
 2.51910133e+03
 2.51940935e+03
 2.51946290e+03
 2.51679010e+03
 2.51554595e+03
 2.51709075e+03
 2.51742867e+03
 2.51806271e+03
 2.51868671e+03
 2.51739172e+03
 2.51670131e+03
 2.51679706e+03
 2.51759186e+03
 2.51770076e+03
 2.51740788e+03
 2.51888256e+03
 2.51697511e+03
 2.51538119e+03
 2.51491401e+03
 2.51369562e+03
 2.51330509e+03
 2.51332551e+03
 2.51342447e+03
 2.51332197e+03
 2.51330071e+03
 Inf
 Inf
 Inf
 2.51333059e+03
 2.51337853e+03
 2.51347163e+03
 2.51342992e+03
 Inf
 5.21519580e+193
 Inf
 2.51327830e+03
 5.68067521e+306
 2.47196978e+188
 Inf
 Inf
 Inf
 Inf
 Inf
 2.15479550e+211
 Inf
 Inf
 Inf
 Inf
 9.74673287e+210
 4.90097674e+245
 Inf
 Inf
 Inf
 6.54812590e+228
 4.55484367e+168
 4.42872056e+134
 8.53219302e+141
 6.06633959e+155
 1.94599967e+288
 8.68611022e+188
 9.57223693e+159
 Inf
 2.51327954e+03
 Inf
 Inf
 2.51336668e+03
 2.51327435e+03
 2.51354450e+03
 2.51437434e+03
 2.51440421e+03
 2.51567967e+03
 2.51611422e+03
 2.51542173e+03
 2.51534694e+03
 2.51611737e+03
 2.51594222e+03
 2.51468333e+03
 2.51454314e+03
 2.51592299e+03
 2.51579456e+03
 2.51503317e+03
 2.51499427e+03
 2.51520600e+03
 2.51460192e+03
 2.51403267e+03
 2.51361938e+03
 2.51327792e+03
 Inf
 2.51339591e+03
 2.51348786e+03
 2.51331855e+03
 2.51327998e+03
 2.51339870e+03
 2.51384959e+03
 2.51360094e+03
 2.51346117e+03
 2.51347251e+03
 2.51365901e+03
 2.51351927e+03
 2.51360321e+03
 2.51391947e+03
 2.51418512e+03
 2.51517025e+03
 2.51537271e+03
 2.51331249e+03
 2.25878681e+178
 7.35891451e+140
 7.92177618e+109
 4.23223893e+210
 Inf
 1.75221830e+290
 Inf
 9.35028115e+216
 2.60660026e+140
 2.77302945e+109
 2.89842883e+137
 1.95336726e+236
 2.35071446e+256
 8.95196742e+249
 1.93155083e+207
 1.56484395e+201
 1.90995149e+192
 2.55616255e+176
 8.69522079e+131
 2.31067760e+108
 4.32502863e+93
 2.06129396e+91
 1.85883143e+131
 1.71415580e+130
 1.95716772e+98
 3.34899537e+87
 3.79192029e+98
 1.55917080e+135
 3.92981817e+126
 1.01795382e+120
 Inf
 2.51338705e+03
 2.51334833e+03
 5.77082505e+306
 3.66672291e+180
 Inf
 Inf
 7.57650638e+235
 1.80319521e+283
 Inf
 5.80271800e+285
 Inf
 Inf
 Inf
 7.66884476e+256
 2.51329757e+03
 2.51388948e+03
 2.51336487e+03
 2.51332506e+03
 2.51381834e+03
 2.51396170e+03
 2.51348694e+03
 Inf
 Inf
 Inf
 1.21532825e+145
 2.16739381e+152
 1.21472595e+171
 2.52146249e+213
 Inf
 2.29253863e+204
 3.24165282e+91
 2.52624173e+75
 9.83977660e+85
 2.37510569e+91
 1.15381018e+97
 1.20863759e+105
 9.92819762e+99
 3.18199535e+78
 1.27699026e+67
 1.00454933e+80
 2.06163149e+95
 4.13069586e+75
 2.71517451e+76
 6.72464419e+104
 6.41652489e+108
 1.85233544e+106
 1.10990010e+95
 8.48259694e+207
 2.51327817e+03
 8.07249905e+290
 1.01885677e+228
 Inf
 2.51331446e+03
 Inf
 Inf
 2.51330337e+03
 2.51332506e+03
 Inf
 2.38972355e+256
 Inf
 Inf
 2.16354944e+300
 Inf
 2.51327413e+03
 Inf
 6.79215908e+270
 Inf
 2.51332284e+03
 2.51327563e+03
 Inf
 Inf
 3.31638118e+248
 6.61771181e+201
 4.97865180e+269
 Inf
 2.51328161e+03
 2.51329880e+03
 Inf
 Inf
 2.51327495e+03
 Inf
 Inf
 Inf
 6.33142268e+277
 3.82724360e+194
 Inf
 Inf
 Inf
 2.04386623e+223
 Inf
 2.51327438e+03
 8.07137568e+251
 4.04360014e+276
 Inf
 Inf
 Inf
 Inf
 1.12159324e+149
 2.28055021e+253
 9.13576581e+199
 9.40537761e+155
 4.75215082e+273
 4.22388697e+158
 4.97734528e+122
 6.44994967e+108
 6.82155500e+104
 5.93326807e+94
 2.57354945e+77
 1.27728114e+74
 3.16984214e+90
 1.43974641e+71
 3.59704062e+51
 8.53426585e+56
 2.00641652e+67
 4.22417764e+64
 7.47859230e+64
 4.34885900e+66
 3.95765887e+60
 1.00802377e+58
 1.78539799e+58
 1.07469627e+60
 1.68893147e+71
 1.81328345e+76
 5.18933887e+69
 6.37984978e+66
 7.42287532e+90
 2.34318354e+93
 7.03660060e+64
 1.39783433e+80
 1.34928395e+76
 6.21876210e+62
 1.46527269e+93
 7.85395917e+86
 5.54254826e+63
 2.41235735e+79
 2.26872853e+69
 4.01625412e+56
 1.12240265e+73
 8.31206985e+81
 6.67398403e+78
 6.72617910e+75
 4.05254300e+66
 6.20150523e+65
 2.21674820e+65
 1.13344522e+57
 6.38256475e+57
 5.70367814e+58
 3.00655919e+59
 2.94271927e+63
 7.54086964e+71
 5.07401657e+70
 2.84908592e+73
 1.99706568e+93
 8.62812276e+83
 3.24328077e+67
 1.15418742e+65
 1.84602013e+78
 3.18757047e+98
 2.11149543e+81
 3.18211982e+90
 8.88603655e+133
 6.46568936e+201
 Inf
 4.66026453e+188
 2.21657566e+156
 5.82964520e+160
 1.57532974e+147
 7.66913923e+130
 6.89165259e+126
 4.88995195e+152
 2.39091422e+163
 7.28753331e+147
 2.83304630e+128
 5.34553851e+110
 6.40688739e+122
 1.69210510e+117
 3.90936059e+89
 1.47094586e+89
 1.58070910e+80
 1.54014143e+62
 8.90976421e+67
 1.58097770e+97
 4.79239595e+103
 2.35361016e+93
 2.72770286e+79
 2.55931309e+77
 9.81492043e+82
 5.43737901e+82
 2.23813423e+87
 1.56894284e+71
 4.36314775e+66
 1.87034929e+82
 6.88705380e+82
 3.00747704e+74
 1.35699966e+90
 3.06572399e+113
 1.50275549e+115
 1.06025009e+99
 4.30819471e+102
 1.46861352e+143
 9.11607541e+161
 2.26345799e+122
 3.82142199e+115
 2.47869759e+145
 1.03037726e+122
 1.87868846e+108
 1.02477109e+131
 5.51277077e+195
 2.50383530e+142
 2.43489953e+123
 4.38501771e+199
 3.40174367e+272
 1.00692098e+194
 6.54410583e+139
 7.33056422e+146
 5.26951285e+145
 4.05129682e+136
 1.72479382e+165
 2.97716522e+157
 2.57546188e+150
 5.68423020e+130
 7.04012201e+103
 2.15719410e+120
 7.88773321e+135
 1.48102487e+105
 5.62613138e+104
 1.68257001e+117
 9.74283560e+108
 6.42085103e+139
 1.03782357e+143
 3.50250250e+117
 2.32313914e+160
 1.38931331e+133
 3.92457980e+77
 2.41769696e+71
 5.96607663e+78
 1.14269267e+63
 3.83634233e+77
 1.11967845e+86
 5.77245342e+58
 3.94029762e+60
 1.26541531e+67
 3.41144058e+64
 1.30048297e+63
 2.75369793e+63
 1.26900070e+58
 1.97596796e+59
 1.85875219e+62
 1.56308168e+64
 4.25681805e+70
 1.96770279e+73
 5.29093678e+55
 3.65728100e+50
 1.78214389e+61
 3.41055009e+61
 3.27618551e+51
 3.26803645e+54
 2.95323056e+67
 1.58641659e+61
 1.78871265e+58
 1.19307448e+57
 2.50843580e+59
 2.06819318e+64
 4.79611050e+53
 3.32782824e+49
 1.54380175e+54
 6.81656668e+55
 2.38445293e+50
 1.14916455e+51
 3.19775987e+56
 1.82810147e+52
 5.21991366e+43
 5.33714140e+46
 1.76900718e+58
 9.50837737e+59
 9.90827705e+55
 1.28955394e+56
 1.25908348e+57
 9.38022600e+55
 1.46474279e+59
 1.36544563e+67
 5.30458609e+71
 1.49516788e+63
 1.25486772e+62
 4.73897265e+69
 8.02434303e+66
 3.42235663e+61
 1.89512122e+58
 2.45548391e+56
 2.76032880e+62
 4.77224035e+68
 1.19965711e+71
 1.00551884e+96
 4.01606922e+100
 9.96795036e+77
 6.57039374e+72
 2.83217123e+78
 1.80094754e+73
 1.48669543e+67
 2.64167447e+72
 3.66741858e+76
 4.06516522e+86
 2.17507596e+70
 1.36400823e+64
 1.56634221e+84
 2.73542089e+74
 6.39377478e+66
 7.22330053e+73
 8.67448491e+64
 5.55681293e+55
 2.55286366e+56
 1.78264744e+58
 5.07470443e+58
 1.30418955e+61
 3.79697737e+58
 1.58843888e+55
 5.99194077e+64
 1.78821867e+73
 3.31069658e+70
 2.18796695e+80
 6.74389903e+80
 2.59143646e+63
 2.31579802e+68
 5.82620171e+89
 2.17717497e+88
 2.29500008e+62
 4.07528912e+57
 1.00229216e+77
 6.71959834e+83
 2.77820186e+63
 5.78159148e+71
 2.91121536e+89
 3.05890073e+70
 2.26526494e+60
 4.02284526e+58
 4.44660769e+63
 1.09684403e+71
 6.56309493e+70
 2.18679379e+61
 4.24886518e+70
 1.04870466e+68
 7.78650017e+68
 4.27497344e+80
 1.35041326e+62
 1.49995003e+50
 1.29940778e+49
 2.07565140e+56
 1.01023664e+61
 1.02960240e+59
 1.68718943e+56
 1.47863003e+61
 1.29381528e+70
 1.31226049e+61
 3.37977058e+58
 2.83093036e+59
 6.80875434e+58
 3.15073670e+63
 6.08750361e+68
 1.76381462e+59
 1.13230322e+53
 3.92433323e+53
 4.65582544e+54
 1.14464661e+65
 2.05318888e+75
 6.66270562e+69
 2.08634410e+81
 3.31590187e+95
 1.94291383e+89
 4.81471124e+84
 2.73587472e+74
 1.05705808e+81
 2.43915665e+85
 5.20260172e+92
 1.00238948e+91
 6.91124166e+82
 1.02586970e+79
 8.25908341e+78
 1.96597326e+80
 3.84419179e+80
 1.58426853e+83
 9.18600928e+76
 1.18003131e+82
 2.11992666e+82
 2.77685270e+63
 1.26764243e+74
 3.16983248e+90
 7.63246696e+71
 3.31459463e+76
 4.09064507e+68
 1.00887753e+71
 2.91023186e+84
 5.49970905e+73
 5.20562702e+68
 3.47137938e+77
 1.26039551e+80
 2.59078669e+63
 1.13068732e+68
 8.65606227e+66
 1.49535589e+57
 4.44284497e+76
 4.28043392e+82
 1.55594899e+103
 4.49769544e+211
 8.99592146e+206
 3.47807833e+146
 2.98308248e+99
 6.02228399e+96
 1.51931597e+108
 5.14485067e+156
 6.89070400e+243
 1.48351607e+234
 4.21034125e+158
 2.93705682e+137
 1.11676176e+153
 5.27661674e+145
 Inf
 Inf
 1.09559718e+125
 8.21153340e+100
 8.40312368e+81
 3.14145417e+85
 1.37917975e+125
 7.21656580e+117
 3.41526342e+101
 3.34314066e+95
 9.81209749e+96
 5.94994967e+120
 2.01692670e+171
 2.52159826e+213
 Inf
 Inf
 1.33478604e+188
 2.51327414e+03
 2.51327448e+03
 1.01599613e+249
 2.51329943e+03
 2.51327856e+03
 4.51093123e+170
 1.64048657e+172
 4.85830762e+245
 4.35404039e+282
 9.19773282e+209
 5.32219746e+145
 4.53956417e+165
 2.46496261e+203
 1.50101322e+185
 6.15224518e+167
 4.74257012e+121
 5.33680375e+110
 3.82310655e+98
 9.51370364e+92
 1.22206308e+116
 4.28543472e+170
 3.84601107e+150
 1.03818042e+141
 2.09465308e+217
 1.75093751e+165
 1.51635878e+137
 3.11967888e+154
 3.63980806e+192
 4.35207647e+210
 5.09283161e+212
 1.28203095e+214
 3.76235314e+241
 2.90295037e+307
 2.02683401e+223
 1.62355076e+189
 3.04403521e+189
 4.18851209e+246
 3.77263663e+200
 2.17577444e+178
 3.99671369e+216
 7.01850450e+187
 4.20325578e+206
 4.01900294e+227
 2.39025339e+146
 8.33281500e+104
 1.40674105e+100
 9.93724938e+97
 1.19363984e+129
 3.19633622e+134
 9.02530232e+128
 2.45795435e+251
 Inf
 1.21258665e+145
 9.15389567e+139
 8.48745495e+188
 3.57887638e+149
 1.24200865e+116
 2.80843146e+110
 1.30693330e+103
 3.38976916e+89
 3.74368057e+88
 8.60667034e+69
 1.40793044e+66
 1.56652254e+64
 2.31986556e+54
 7.13295677e+65
 8.57330400e+74
 3.05299548e+75
 4.22751451e+84
 6.73720081e+85
 3.31681947e+84
 6.03892791e+73
 8.08831033e+79
 3.06727015e+118
 3.79577429e+150
 4.29363774e+108
 3.10125103e+80
 1.75938534e+81
 9.08473259e+71
 3.65879920e+61
 5.81408814e+74
 2.54428435e+87
 2.78230981e+75
 5.16942761e+67
 5.76308668e+65
 9.15128652e+68
 1.22788398e+68
 1.30533431e+66
 1.39563003e+74
 2.75768766e+85
 6.27595271e+95
 2.03337751e+84
 5.83979753e+71
 1.69183172e+74
 6.70991247e+83
 4.91891197e+99
 1.10592636e+93
 1.30706227e+85
 2.43138786e+86
 8.22467646e+75
 1.24553949e+65
 4.14967416e+61
 1.45642717e+64
 2.27924688e+78
 4.43763041e+68
 1.03361165e+59
 4.94625366e+65
 7.48298574e+64
 4.60122208e+59
 4.62898196e+52
 7.96806451e+64
 4.72784783e+77
 8.68781678e+64
 2.34498130e+70
 4.70581564e+66
 1.89687033e+66
 4.14032733e+81
 4.22971683e+90
 9.73739503e+83
 6.52096067e+79
 5.89463789e+81
 2.65139094e+82
 9.33662827e+62
 2.50967779e+49
 2.81616267e+50
 6.37068487e+53
 1.36486390e+53
 1.75105866e+51
 7.61043464e+49
 1.52762889e+49
 9.60113654e+47
 2.41711251e+46
 3.90244228e+49
 2.65926294e+53
 6.72552075e+49
 5.68317887e+54
 4.49980041e+64
 4.18008917e+50
 3.51586159e+44
 1.27747864e+51
 3.72044128e+67
 1.09846849e+76
 1.38576623e+60
 2.66695604e+55
 5.83556952e+52
 1.41677269e+48
 1.15455621e+50
 1.26112907e+52
 3.34823261e+48
 5.82163679e+51
 1.77114117e+56
 3.38501938e+69
 5.35409625e+80
 1.27235377e+75
 2.45606587e+99
 5.60207663e+144
 1.77111997e+119
 5.02245172e+128
 6.58593306e+164
 2.60390117e+170
 2.98003998e+157