Inf
 2.51332596e+03
 Inf
 Inf
 Inf
 4.77085518e+211
 1.79355362e+298
 7.80048280e+296
 2.55032536e+251
 5.01556105e+147
 5.85308877e+162
 Inf
 Inf
 2.51327416e+03
 Inf
 Inf
 9.90379556e+125
 7.44311417e+106
 5.40351917e+132
 2.08093386e+233
 1.67965983e+175
 9.78584888e+125
 1.04951743e+238
 3.09036403e+260
 6.57574369e+214
 1.75768683e+142
 4.06319948e+100
 8.51855146e+207
 Inf
 Inf
 Inf
 8.44810705e+104
 1.96836298e+113
 6.21172355e+228
 Inf
 Inf
 2.97645479e+129
 3.05391711e+143
 1.17940054e+203
 2.35930516e+266
 Inf
 1.76705099e+240
 1.18820830e+132
 7.35108492e+256
 Inf
 1.45549267e+222
 1.99679133e+236
 2.30006861e+167
 2.09778470e+124
 1.93598517e+166
 1.16583192e+150
 1.89316267e+133
 8.94547530e+209
 5.14540281e+193
 1.61896629e+229
 3.92092567e+234
 2.00050921e+236
 7.56585613e+256
 1.20824905e+145
 1.21097877e+114
 4.85583936e+113
 4.81810334e+103
 3.70438692e+96
 4.16440662e+109
 2.74878392e+106
 4.86793123e+82
 4.53874037e+75
 7.29805559e+106
 3.38038630e+100
 9.00248104e+84
 6.50034884e+90
 4.15072402e+196
 2.51410714e+03
 2.51331366e+03
 1.66715194e+97
 1.51960503e+108
 4.11194883e+135
 2.39559283e+114
 7.69709317e+115
 3.93368481e+95
 7.26861800e+168
 2.51327563e+03
 2.51328304e+03
 2.51332240e+03
 Inf
 Inf
 2.51328481e+03
 Inf
 1.21550505e+224
 2.95248724e+136
 1.29755793e+285
 3.42638330e+197
 1.04827595e+143
 5.22836986e+301
 Inf
 Inf
 1.09797934e+204
 3.82634399e+182
 Inf
 Inf
 7.80270470e+215
 2.58717042e+153
 2.85236397e+175
 2.35882865e+160
 4.17681466e+206
 6.28673685e+280
 Inf
 2.51330303e+03
 Inf
 2.15522212e+205
 1.08975498e+190
 7.40323648e+183
 Inf
 Inf
 4.84525481e+114
 2.44489610e+95
 7.12168737e+154
 1.76575268e+283
 3.29048951e+248
 1.03488839e+261
 1.45635359e+219
 2.89354857e+214
 9.25086647e+259
 1.28979782e+214
 1.04951877e+226
 9.26538724e+216
 1.18172959e+224
 Inf
 Inf
 1.72357712e+245
 Inf
 2.51337096e+03
 Inf
 1.31514550e+214
 Inf
 2.51327533e+03
 1.63998973e+277
 1.08820694e+204
 1.05469277e+221
 Inf
 Inf
 2.51332965e+03
 Inf
 1.89627025e+200
 Inf
 2.51356881e+03
 2.51354342e+03
 2.51327631e+03
 Inf
 1.08267969e+282
 Inf
 2.51356881e+03
 2.51379371e+03
 2.51328160e+03
 9.28821106e+249
 Inf
 Inf
 2.51329726e+03
 2.51331939e+03
 3.60750114e+272
 2.38548215e+266
 Inf
 Inf
 2.94067201e+214
 3.40071314e+197
 Inf
 2.51334672e+03
 2.51334043e+03
 Inf
 Inf
 2.51340152e+03
 2.51332596e+03
 2.51327412e+03
 2.51327954e+03
 1.88444265e+283
 7.37299969e+142
 Inf
 Inf
 Inf
 2.51328630e+03
 Inf
 Inf
 2.51413274e+03
 2.51408340e+03
 2.51368791e+03
 2.51375570e+03
 2.51333640e+03
 Inf
 2.51332197e+03
 2.51327469e+03
 2.53371985e+243
 2.51345604e+03
 2.51379658e+03
 2.51351632e+03
 2.51483844e+03
 2.51496308e+03
 2.51337035e+03
 Inf
 Inf
 3.25119390e+284
 Inf
 2.51333443e+03
 4.25492965e+183
 2.78293968e+103
 5.77792120e+221
 2.51329849e+03
 2.51332240e+03
 Inf
 Inf
 Inf
 2.77453514e+250
 3.64916034e+250
 2.51338308e+03
 2.51327830e+03
 2.51330723e+03
 2.51454751e+03
 2.51328143e+03
 Inf
 Inf
 1.98644099e+265
 2.51346899e+03
 2.51331406e+03
 1.73880273e+121
 2.27395666e+161
 2.51334198e+03
 2.51334728e+03
 2.51335107e+03
 2.51350952e+03
 2.51327456e+03
 9.31884429e+128
 5.26887346e+92
 8.00783306e+124
 8.92036908e+91
 8.95366375e+77
 5.64563744e+111
 3.71260234e+119
 1.38490005e+92
 9.90801023e+97
 2.88372008e+137
 6.45824587e+158
 3.64396257e+192
 8.54169414e+166
 1.12771436e+174
 6.67869731e+178
 4.13552969e+106
 3.59537132e+85
 2.59112133e+84
 4.48003245e+92
 6.75815661e+85
 1.10821492e+88
 1.47892548e+137
 4.57987213e+157
 1.21414530e+129
 1.39448304e+131
 3.35793375e+147
 5.97678037e+138
 8.93158566e+127
 2.28877462e+147
 5.12830131e+191
 1.66630462e+139
 4.68689727e+104
 3.73835103e+128
 4.83520374e+115
 3.19724235e+93
 6.31953904e+98
 2.22523153e+109
 1.34894644e+107
 4.65107683e+104
 3.16982177e+134
 5.68880137e+150
 3.35130189e+112
 1.50883180e+114
 5.15836247e+156
 1.92108974e+157
 1.34143098e+173
 3.64880479e+161
 2.51694002e+99
 2.75929039e+91
 3.84255189e+113
 2.78954439e+120
 2.09051149e+95
 1.83838013e+123
 3.60098838e+192
 9.15049560e+102
 1.11597573e+83
 2.84551948e+78
 7.26181183e+79
 7.19603241e+125
 4.31372909e+110
 7.89370359e+68
 4.22733191e+64
 1.38626189e+84
 2.05337470e+91
 1.49650908e+114
 6.77137547e+107
 3.58966550e+120
 3.24991230e+174
 1.32156394e+120
 9.79451704e+100
 1.48438747e+104
 4.00907881e+116
 1.52931383e+108
 1.46086286e+88
 2.31632142e+77
 2.75548583e+90
 2.66737390e+96
 1.79429610e+140
 1.06559469e+148
 1.57118079e+147
 5.61638529e+213
 2.33830010e+130
 5.41562219e+123
 Inf
 1.08101855e+301
 2.17753395e+127
 1.74961070e+93
 6.99969346e+84
 8.30076916e+76
 3.06837683e+80
 4.08845018e+112
 3.23062817e+98
 1.81294970e+73
 2.87629603e+83
 6.17953840e+102
 3.18615849e+93
 2.06850835e+102
 4.13149446e+112
 4.78790629e+133
 6.04704036e+134
 2.57755806e+133
 1.88597564e+144
 7.56360927e+102
 5.92970597e+94
 4.75094234e+133
 1.17344976e+139
 2.04353584e+83
 3.91887924e+61
 6.89249945e+71
 4.02575577e+85
 5.11514345e+89
 6.89856192e+105
 1.93138683e+111
 7.90684456e+108
 1.73423035e+87
 2.01870185e+83
 1.15281456e+91
 9.64856621e+115
 5.23788736e+108
 2.72629150e+98
 7.14119597e+142
 1.68986289e+153
 1.11536433e+146
 5.27223790e+108
 3.17826272e+104
 Inf
 2.51335611e+03
 2.51327432e+03
 Inf
 Inf
 2.95854429e+307
 Inf
 Inf
 Inf
 2.51327520e+03
 Inf
 Inf
 Inf
 3.45602508e+215
 Inf
 2.51331897e+03
 2.51330906e+03
 2.51362290e+03
 2.51407302e+03
 2.51338974e+03
 Inf
 2.51332067e+03
 2.51346376e+03
 2.51327883e+03
 2.26189026e+196
 2.89742804e+95
 1.45536901e+88
 1.15819644e+118
 4.55091784e+157
 7.63946260e+176
 Inf
 Inf
 Inf
 Inf
 2.51327490e+03
 7.17655154e+230
 9.04172151e+127
 2.90763480e+136
 5.26295897e+108
 1.97091632e+113
 6.25463303e+226
 3.77021526e+241
 7.36299570e+154
 2.73418826e+235
 2.01210386e+223
 3.33618815e+293
 Inf
 Inf
 Inf
 1.10256715e+187
 1.00430582e+228
 7.70989998e+290
 7.48561699e+183
 4.42809785e+220
 Inf
 2.51327415e+03
 Inf
 Inf
 Inf
 2.51330723e+03
 2.51337982e+03
 2.51344273e+03
 2.51332024e+03
 8.17202723e+251
 8.62972216e+196
 Inf
 Inf
 2.59090151e+176
 Inf
 3.71929017e+247
 4.98695040e+152
 Inf
 2.51389104e+03
 2.51404143e+03
 2.51332153e+03
 2.51327595e+03
 Inf
 Inf
 2.51328231e+03
 2.51333106e+03
 Inf
 Inf
 2.51380667e+03
 2.51397166e+03
 2.51354141e+03
 Inf
 9.03784161e+298
 2.51328381e+03
 2.51327745e+03
 2.51347075e+03
 2.51350761e+03
 Inf
 Inf
 Inf
 Inf
 1.94114327e+151
 4.39387077e+176
 2.47127705e+203
 1.84326103e+200
 3.67465617e+192
 6.12530379e+155
 1.45252572e+161
 1.72137074e+158
 1.24380698e+157
 2.08712706e+211
 2.43284412e+278
 4.05683794e+227
 2.02694132e+187
 2.29155700e+173
 1.17535037e+179
 2.16806919e+178
 1.04576411e+230
 5.88955813e+186
 9.71728699e+248
 5.70824660e+174
 1.27931723e+151
 Inf
 2.51328061e+03
 Inf
 Inf
 2.33820165e+254
 1.00524075e+194
 1.03568565e+235
 Inf
 2.51327883e+03
 3.83003270e+247
 Inf
 3.53817916e+291
 3.31999974e+152
 3.96904551e+155
 3.04690898e+115
 7.51321967e+114
 4.37985561e+184
 Inf
 7.82732998e+296
 Inf
 2.51330795e+03
 Inf
 1.87377087e+298
 Inf
 Inf
 2.51329975e+03
 2.51332328e+03
 7.79277564e+235
 Inf
 Inf
 1.74424343e+197
 4.19565775e+246
 Inf
 2.13309510e+179
 1.70259203e+120
 8.28897179e+134
 5.14943977e+97
 1.25861872e+130
 2.41426877e+111
 1.28971773e+93
 1.31600274e+122
 1.47696049e+94
 2.24819407e+87
 7.83345783e+108
 1.59890944e+127
 5.18182961e+301
 Inf
 1.22976313e+114
 4.95728812e+91
 2.25317222e+162
 Inf
 Inf
 1.29665482e+214
 4.49137624e+184
 9.92122523e+163
 2.51690779e+213
 4.85945155e+223
 6.21116002e+163
 9.00566180e+199
 3.94172259e+237
 6.55855671e+214
 1.24437330e+178
 4.56502066e+188
 4.40506100e+205
 1.99113750e+236
 Inf
 1.52073214e+143
 4.46092508e+117
 Inf
 3.91801066e+289
 4.14775651e+137
 3.61935150e+161
 3.83707183e+163
 1.57535315e+148
 7.66011992e+145
 6.80312772e+230
 3.46505937e+171
 1.34323141e+122
 7.08773373e+122
 2.54027083e+153
 7.31529663e+235
 1.67565325e+168
 8.35881132e+104
 1.16499865e+101
 3.99427221e+136
 1.22794489e+183
 3.74594184e+187
 4.80003131e+154
 2.32939714e+139
 1.08442301e+137
 Inf
 Inf
 7.48982849e+254
 1.99583916e+206
 Inf
 6.56824282e+226
 9.01577362e+153
 4.16927290e+206
 1.82897284e+274
 8.90409784e+207
 2.75504340e+185
 Inf
 1.74838979e+290
 4.36580231e+196
 1.71520691e+186
 5.12533712e+193
 4.53475608e+168
 9.82481385e+109
 7.85905125e+135
 7.39339432e+148
 1.27849566e+130
 5.11823845e+118
 5.02159520e+128
 1.15550025e+150
 2.11637924e+99
 1.01924690e+96
 2.03350598e+84
 1.69902995e+72
 3.64459410e+91
 7.84943747e+86
 1.27922513e+93
 9.44667276e+94
 9.51719597e+80
 5.38596392e+78
 4.34605710e+78
 8.44965174e+88
 1.51059101e+95
 3.16513747e+125
 1.12824572e+89
 1.77544240e+66
 1.86094215e+97
 3.36940468e+100
 2.04512780e+71
 3.77215575e+67
 2.15745942e+70
 1.26777418e+93
 8.89372548e+128
 1.58368880e+128
 7.14131032e+96
 1.02166319e+87
 5.35531967e+95
 5.64598874e+88
 1.26904911e+88
 4.30172876e+82
 1.09667044e+84
 3.27793343e+103
 7.85657666e+119
 1.17253542e+118
 1.97742183e+116
 7.08510235e+92
 3.16263556e+77
 4.59055830e+104
 2.15212220e+121
 1.91192901e+118
 7.52355705e+102
 1.94377025e+98
 8.13352397e+110
 1.24505339e+108
 2.31151297e+134
 Inf
 6.66290540e+181
 6.01047453e+94
 2.84683299e+95
 4.73886509e+119
 1.07336417e+199
 1.01979321e+159
 5.47890276e+132
 5.66460615e+189
 7.47438634e+152
 4.81583944e+119
 1.52301972e+120
 8.23717592e+116
 1.81019465e+140
 4.20399886e+130
 6.07047431e+96
 6.79254337e+89
 4.77083861e+115
 7.74782884e+136
 1.06517249e+99
 7.93988343e+72
 2.12405476e+86
 5.84080032e+138
 4.82468023e+133
 3.46060696e+131
 2.15945023e+152
 1.91945159e+157
 1.03806167e+106
 1.65632292e+73
 6.70878524e+75
 2.06440139e+78
 1.84654697e+108
 Inf
 Inf
 5.38258187e+145
 1.92250212e+118
 1.67710037e+153
 3.02138744e+114
 3.17395747e+85
 2.76019899e+121
 1.01661372e+120
 2.42157946e+123
 2.72620808e+124
 2.00580241e+100
 1.46718327e+105
 1.55487400e+116
 3.71782246e+119
 4.09461382e+106
 1.50305813e+136
 5.08492366e+203
 1.91954316e+207
 1.09617351e+137
 6.11356689e+121
 1.42007368e+156
 5.88280881e+153
 2.52494339e+116
 1.53853089e+170
 1.13239182e+218
 1.16078681e+135
 1.34810074e+154
 1.72932711e+150
 4.22526688e+141
 1.58034765e+227
 1.59809400e+159
 4.67320396e+172
 3.63971853e+247
 1.59149031e+148
 2.05617432e+154
 2.85300267e+175
 1.17582918e+179
 3.64412776e+120
 2.25909955e+119
 3.98972623e+118
 7.20052105e+154
 1.02511521e+235
 3.24695242e+134
 9.03427089e+133
 3.84827393e+159
 1.04410655e+221
 4.42847529e+205
 1.93668477e+157
 6.02153581e+141
 3.63003684e+179
 1.66358503e+139
 3.03376202e+107
 7.29899418e+125
 2.29801659e+148
 9.33601388e+169
 2.15425710e+127
 2.74185523e+117
 4.15168253e+112
 1.26350306e+94
 2.16228382e+104
 1.28821271e+89
 1.42589373e+70
 8.53778680e+83
 7.77835951e+109
 2.62809550e+110
 9.00965939e+161
 8.78958318e+208
 6.59513463e+181
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331094e+03
 2.51346549e+03
 Inf
 Inf
 Inf
 1.22438186e+203
 4.91901770e+217
 Inf
 3.41434418e+215
 Inf
 2.51327448e+03
 Inf
 2.02051056e+210
 4.18447826e+209
 8.74967473e+298
 9.94146968e+115
 7.15796116e+67
 1.67369997e+70
 2.48523679e+61
 6.76466338e+105
 6.45906493e+116
 2.18931418e+73
 2.55704438e+67
 4.52720516e+73
 1.38683822e+100
 2.95148588e+99
 8.96975117e+86
 4.58334853e+72
 2.34269241e+81
 6.09931104e+75
 2.63674806e+71
 8.27508876e+67
 2.66172560e+69
 9.15206761e+78
 3.89537478e+62
 6.85909116e+66
 1.14677623e+75
 2.85450289e+122
 5.82444319e+103
 6.61579850e+61
 2.18491720e+119
 6.42420313e+122
 1.36475406e+76
 1.65001094e+120
 1.00826507e+102
 2.26191283e+59
 3.13492767e+90
 2.77815746e+85
 6.80022019e+52
 1.74421184e+69
 3.28643728e+60
 1.10028876e+54
 2.29978643e+68
 1.38139158e+60
 1.87121953e+60
 1.20747609e+76
 3.53126024e+120
 1.55819824e+148
 7.25232718e+117
 6.05393313e+96
 6.03650806e+121
 4.91161451e+147
 1.50172245e+99
 1.94520628e+89
 3.09735446e+166
 Inf
 5.20302193e+193
 1.71439023e+186
 5.66374697e+174
 2.52083323e+99
 2.02051659e+93
 1.49141397e+115
 1.35123834e+107
 5.93563013e+141
 1.35926167e+107
 1.66461783e+101
 1.03288316e+238
 1.75476319e+165
 1.73311817e+150
 Inf
 3.49522991e+222
 2.54463116e+116
 7.53688675e+176
 Inf
 Inf
 Inf
 3.48582619e+169
 Inf
 Inf
 7.18707204e+101
 4.26239996e+90
 5.36359080e+95
 8.15935013e+79
 1.00432077e+65
 1.53015978e+62
 2.53044246e+58
 2.53534018e+67
 2.80559837e+95
 1.61288234e+96
 1.90661949e+85
 1.18980337e+81
 4.07427710e+86
 8.85345852e+98
 6.77199452e+85
 9.38968727e+81
 1.13062729e+80
 2.60815239e+73
 4.41539742e+67
 1.04714760e+68
 2.05695591e+75
 6.90380864e+66
 6.97950918e+61
 8.41522547e+68
 4.78304721e+80
 1.46549568e+89
 4.32196391e+134
 1.23652033e+157
 6.91689249e+100
 1.25658916e+83
 2.13509154e+86
 8.91574608e+205
 Inf
 Inf
 Inf
 2.51327456e+03
 2.51332328e+03
 2.51329378e+03
 Inf
 Inf
 2.51327527e+03
 Inf
 Inf
 3.71177126e+161
 3.73527647e+162
 Inf
 Inf
 1.63889044e+264
 5.96184391e+153
 3.71142270e+200
 1.02631619e+261
 1.03812804e+212
 Inf
 9.38728252e+271
 2.51330544e+03
 2.51408910e+03
 2.51412936e+03
 2.51396828e+03
 2.51410894e+03
 2.51398997e+03
 2.51408549e+03
 2.51442069e+03
 2.51432479e+03
 2.51405534e+03
 2.51393232e+03
 2.51409448e+03
 2.51379513e+03
 2.51366521e+03
 2.51381103e+03
 2.51443136e+03
 2.51407300e+03
 2.51332328e+03
 2.51328932e+03
 2.51359867e+03
 2.51337096e+03
 Inf
 2.51348147e+03
 2.51420803e+03
 2.51379512e+03
 2.51344849e+03
 Inf
 1.53032401e+185
 9.31496061e+205
 Inf
 6.77991284e+178
 5.89083946e+162
 Inf
 Inf
 3.24403131e+284
 2.34995460e+130
 3.63423664e+140
 6.48127307e+201
 4.21387077e+206
 5.23933988e+166
 9.83401005e+108
 1.25971178e+113
 3.89697859e+227
 7.43872350e+235
 9.27764092e+216
 2.51328267e+03
 Inf
 Inf
 Inf
 2.51330039e+03
 2.51331567e+03
 Inf
 3.84682908e+194
 4.20859773e+206
 Inf
 2.51342913e+03
 2.51354762e+03
 Inf
 Inf
 2.51349903e+03
 2.51358635e+03
 2.51330869e+03
 2.51327413e+03
 6.68354875e+226
 1.18343817e+224
 Inf
 Inf
 Inf
 9.86135054e+210
 1.74960634e+165
 2.57214533e+226
 4.37577014e+210
 1.91118396e+144
 1.59431644e+124
 6.52406074e+265
 3.83985650e+268
 Inf
 Inf
 Inf
 2.34091053e+173
 5.73709588e+150
 2.51353528e+03
 2.51389263e+03
 2.51330943e+03
 2.51330833e+03
 2.51396332e+03
 2.51732351e+03
 2.52025797e+03
 2.51870016e+03
 2.51836364e+03
 2.51762501e+03
 2.51679016e+03
 2.51756286e+03
 2.51636387e+03
 2.51409269e+03
 2.51377243e+03
 2.51416810e+03
 2.51400518e+03
 2.51345016e+03
 2.51332328e+03
 2.51345604e+03
 2.51356237e+03
 2.51328860e+03
 4.42879491e+225
 2.51327419e+03
 2.51346987e+03
 2.51329462e+03
 Inf
 2.51327427e+03
 2.51330544e+03
 2.51354761e+03
 2.51388016e+03
 2.51369175e+03
 2.51383758e+03
 2.51401887e+03
 2.51343149e+03
 2.51327701e+03
 Inf
 2.51331982e+03
 2.51366273e+03
 2.51358632e+03
 2.51347876e+03
 2.51346031e+03
 2.51368919e+03
 2.51377384e+03
 2.51352026e+03
 2.51350666e+03
 2.51370210e+03
 2.51330303e+03
 Inf
 2.51345183e+03
 2.51376265e+03
 2.51381399e+03
 2.51380953e+03
 2.51381834e+03
 2.51342835e+03
 2.51362055e+03
 2.51405183e+03
 2.51386018e+03
 2.51373930e+03
 2.51378512e+03
 2.51383312e+03
 2.51337408e+03
 Inf
 9.20418805e+249
 2.61393141e+140
 Inf
 Inf
 2.51329214e+03
 2.51332197e+03
 4.58890727e+282
 Inf
 2.51327939e+03
 2.51332197e+03
 2.51342992e+03
 2.51343949e+03
 2.51332240e+03
 2.51368919e+03
 2.51351927e+03
 Inf
 2.51332506e+03
 2.51384058e+03
 2.51348602e+03
 2.51354243e+03
 2.51375848e+03
 2.51338439e+03
 2.51339659e+03
 2.51336973e+03
 2.51333541e+03
 2.51330405e+03
 2.51327444e+03
 2.51332733e+03
 Inf
 2.51364556e+03
 2.51416062e+03
 2.51394038e+03
 2.51388482e+03
 2.51383908e+03
 2.51458366e+03
 2.51443556e+03
 2.51426459e+03
 2.51361821e+03
 2.51328077e+03
 Inf
 2.51327669e+03
 2.51327465e+03
 1.21669523e+262
 1.01597789e+228
 1.46867755e+162
 9.23983275e+185
 Inf
 Inf
 2.51339870e+03
 2.51402059e+03
 2.51358522e+03
 2.51350857e+03
 2.51364678e+03
 2.51430254e+03
 2.51466221e+03
 2.51413089e+03
 2.51378088e+03
 2.51336608e+03
 2.51340081e+03
 2.51395181e+03
 2.51452742e+03
 2.51430856e+03
 2.51374066e+03
 2.51381979e+03
 2.51341611e+03
 2.51333012e+03
 2.51347340e+03
 2.51327659e+03
 2.51336487e+03
 2.51426063e+03
 2.51523101e+03
 2.51390359e+03
 Inf
 Inf
 2.51330236e+03
 Inf
 Inf
 3.45948688e+272
 2.51328421e+03
 2.51345267e+03
 2.51334459e+03
 2.51342835e+03
 2.51353834e+03
 2.51354557e+03
 2.51343786e+03
 2.51341762e+03
 2.51412722e+03
 2.51511861e+03
 2.51450741e+03
 2.51449029e+03
 2.51467626e+03
 2.51465034e+03
 2.51433915e+03
 2.51394854e+03
 2.51461570e+03
 2.51571997e+03
 2.51461569e+03
 2.51436604e+03
 2.51620181e+03
 2.51625809e+03
 2.51543635e+03
 2.51598477e+03
 2.51566728e+03
 2.51578240e+03
 2.51751780e+03
 2.51559103e+03
 2.51376822e+03
 2.51372459e+03
 2.51357751e+03
 2.51348511e+03
 2.51341837e+03
 2.51359303e+03
 2.51444423e+03
 2.51390674e+03
 Inf
 2.53024350e+257
 1.91337271e+208
 Inf
 2.51328421e+03
 Inf
 Inf
 Inf
 2.51334997e+03
 2.51385110e+03
 2.51435566e+03
 2.51427442e+03
 2.51406415e+03
 2.51390992e+03
 2.51411623e+03
 2.51419465e+03
 2.51413089e+03
 2.51445500e+03
 2.51452524e+03
 2.51421765e+03
 2.51396167e+03
 2.51392270e+03
 2.51379657e+03
 2.51380954e+03
 2.51377242e+03
 2.51378654e+03
 2.51374747e+03
 2.51336912e+03
 2.51346203e+03
 2.51402403e+03
 2.51383756e+03
 2.51382429e+03
 2.51420994e+03
 2.51439111e+03
 2.51354554e+03
 Inf
 Inf
 Inf
 Inf
 2.19960181e+178
 3.65211540e+161
 1.43154058e+219
 Inf
 Inf
 Inf
 2.51335441e+03
 2.51372852e+03
 2.51391152e+03
 2.51433506e+03
 2.51460884e+03
 2.51556091e+03
 2.51585246e+03
 2.51400011e+03
 2.51378090e+03
 2.51445284e+03
 2.51406945e+03
 2.51433504e+03
 2.51459051e+03
 2.51494981e+03
 2.51630826e+03
 2.51547446e+03
 2.51535260e+03
 2.51587467e+03
 2.51609076e+03
 2.51585543e+03
 2.51501739e+03
 2.51478184e+03
 2.51460653e+03
 2.51464574e+03
 2.51418131e+03
 2.51338572e+03
 Inf
 Inf
 2.51359980e+03
 2.51389575e+03
 2.51346987e+03
 2.51362524e+03
 2.51364196e+03
 2.51344601e+03
 2.51335162e+03
 2.51360094e+03
 2.51404833e+03
 2.51440797e+03
 2.51415125e+03
 2.51389417e+03
 2.51435356e+03
 2.51458825e+03
 2.51508900e+03
 2.51615441e+03
 2.51550703e+03
 2.51397492e+03
 2.51451625e+03
 2.51683502e+03
 2.51616766e+03
 2.51509436e+03
 2.51623588e+03
 2.51565497e+03
 2.51464350e+03
 2.51481851e+03
 2.51513483e+03
 2.51527017e+03
 2.51491649e+03
 2.51488886e+03
 2.51528980e+03
 2.51493436e+03
 2.51335498e+03
 Inf
 2.51329187e+03
 2.51327422e+03
 1.01543190e+249
 Inf
 Inf
 2.51328742e+03
 2.51339591e+03
 2.51338176e+03
 2.51369691e+03
 2.51426657e+03
 2.51455654e+03
 2.51539562e+03
 2.51527827e+03
 2.51477690e+03
 2.51577306e+03
 2.51556972e+03
 2.51405534e+03
 2.51361705e+03
 2.51361020e+03
 2.51425668e+03
 2.51601113e+03
 2.51595608e+03
 2.51536100e+03
 2.51577302e+03
 2.51609069e+03
 2.51602402e+03
 2.51433301e+03
 2.51339452e+03
 2.51344518e+03
 2.51343466e+03
 2.51329491e+03
 2.51359415e+03
 2.51356985e+03
 Inf
 2.27499447e+239
 Inf
 2.51327416e+03
 2.51327479e+03
 2.99084267e+214
 4.82885277e+273
 2.51329268e+03
 2.51328421e+03
 2.51327501e+03
 2.51331730e+03
 2.51362407e+03
 2.51377665e+03
 2.51351731e+03
 2.51403092e+03
 2.51525889e+03
 2.51436806e+03
 2.51387552e+03
 2.51399839e+03
 2.51431265e+03
 2.51495754e+03
 2.51530685e+03
 2.51518661e+03
 2.51497564e+03
 2.51559408e+03
 2.51611410e+03
 2.51496785e+03
 2.51407124e+03
 2.51454299e+03
 2.51517849e+03
 2.51472851e+03
 2.51386020e+03
 2.51360436e+03
 2.51362877e+03
 2.51340945e+03
 2.51327444e+03
 Inf
 Inf
 Inf
 6.39434380e+280
 1.79747217e+231
 3.74039445e+160
 Inf
 2.51327507e+03
 2.51343706e+03
 2.51454079e+03
 2.51386782e+03
 2.51346376e+03
 2.51377945e+03
 2.51397660e+03
 2.51380232e+03
 2.51398494e+03
 2.51450744e+03
 2.51469049e+03
 2.51561535e+03
 2.51597192e+03
 2.51509971e+03
 2.49802270e+03
 2.51521153e+03
 2.51566429e+03
 2.51627719e+03
 2.51635049e+03
 2.51571371e+03
 2.51575042e+03
 2.51541011e+03
 2.51539944e+03
 2.51611402e+03
 2.51534663e+03
 2.51350953e+03
 Inf
 Inf
 Inf
 3.80743227e+187
 8.19180556e+250
 3.02184126e+242
 5.89766973e+186
 Inf
 2.02469090e+236
 Inf
 2.51334459e+03
 2.51328836e+03
 2.51385563e+03
 2.51387577e+03
 2.51334997e+03
 2.51361240e+03
 2.51386325e+03
 2.51399000e+03
 2.51424490e+03
 2.51450966e+03
 2.51485593e+03
 2.51386783e+03
 2.51387656e+03
 2.51413458e+03
 2.51421576e+03
 2.51457912e+03
 2.51433299e+03
 2.51452960e+03
 2.51455215e+03
 2.51419462e+03
 2.51414575e+03
 2.51405886e+03
 2.51361589e+03
 2.51327843e+03
 Inf
 8.24111636e+232
 1.48597988e+215
 2.94848865e+238
 5.11274996e+212
 4.18635328e+209
 4.02091323e+216
 3.39554984e+219
 4.31120641e+299
 7.30342346e+254
 Inf
 Inf
 Inf
 2.51328126e+03
 2.51329268e+03
 2.51351243e+03
 2.51345182e+03
 2.51329350e+03
 2.51327869e+03
 2.51327659e+03
 2.51327843e+03
 2.51334726e+03
 2.51342217e+03
 2.51329548e+03
 Inf
 Inf
 3.49137364e+219
 Inf
 2.51460423e+03
 2.51609074e+03
 2.51689924e+03
 2.51539849e+03
 2.51507039e+03
 2.51490890e+03
 2.51351146e+03
 2.51353117e+03
 2.51372184e+03
 2.51347876e+03
 2.51337096e+03
 Inf
 2.51328565e+03
 2.51340223e+03
 2.51332965e+03
 2.51327954e+03
 2.51369433e+03
 2.51493953e+03
 2.51421570e+03
 2.51396003e+03
 2.51495494e+03
 2.51613760e+03
 2.51591947e+03
 2.51545982e+03
 2.51407302e+03
 2.51361939e+03
 2.51373253e+03
 2.51385110e+03
 2.51469516e+03
 2.51445063e+03
 2.51430861e+03
 2.51429460e+03
 2.51359528e+03
 2.51338374e+03
 2.51385412e+03
 2.51408553e+03
 2.51349903e+03
 2.51345352e+03
 2.51353224e+03
 2.51368663e+03
 2.51337096e+03
 Inf
 7.51835621e+165
 9.37418740e+169
 Inf
 Inf
 2.27062869e+239
 5.21455069e+191
 7.49158254e+168
 Inf
 2.51348057e+03
 2.51383461e+03
 2.51533239e+03
 2.51486834e+03
 2.51446585e+03
 2.51467858e+03
 2.51586188e+03
 2.51740801e+03
 2.51704782e+03
 2.51565200e+03
 2.51605718e+03
 2.51768743e+03
 2.51700947e+03
 2.51562449e+03
 2.51540740e+03
 2.51627368e+03
 2.51703674e+03
 2.51698905e+03
 2.51730346e+03
 2.51720010e+03
 2.51585548e+03
 2.51538701e+03
 2.51586822e+03
 2.51622576e+03
 2.51525046e+03
 2.51414013e+03
 2.51405542e+03
 2.51362643e+03
 2.51358081e+03
 2.51422346e+03
 2.51405004e+03
 2.51340223e+03
 2.51333790e+03
 2.51366645e+03
 2.51339660e+03
 Inf
 Inf
 2.51332918e+03
 2.51429248e+03
 2.51503324e+03
 2.51430454e+03
 2.51512125e+03
 2.51636746e+03
 2.51655604e+03
 2.51575112e+03
 2.51772922e+03
 2.51989481e+03
 2.52075002e+03
 2.52392140e+03
 2.52271720e+03
 2.51893455e+03
 2.48876511e+03
 2.52156987e+03
 2.52167125e+03
 2.52145560e+03
 2.52071140e+03
 2.52082659e+03
 2.52178892e+03
 2.52060309e+03
 2.51917364e+03
 2.51824288e+03
 2.51637793e+03
 2.51560630e+03
 2.51583301e+03
 2.51491140e+03
 2.51469997e+03
 2.51547747e+03
 2.51581106e+03
 2.51521429e+03
 2.51503853e+03
 2.51569820e+03
 2.51599808e+03
 2.51540139e+03
 2.51650169e+03
 2.51726381e+03
 2.51738834e+03
 2.51904385e+03
 2.52018976e+03
 2.52133700e+03
 2.52083604e+03
 2.52182944e+03
 2.52265142e+03
 2.52290959e+03
 2.52097939e+03
 2.51902488e+03
 2.52070566e+03
 2.52328891e+03
 2.52142694e+03
 2.51688774e+03
 2.51502531e+03
 2.51496327e+03
 2.51485092e+03
 2.51525326e+03
 2.51635346e+03
 2.51605051e+03
 2.51526449e+03
 2.51407658e+03
 2.51342602e+03
 2.51331730e+03
 2.51334094e+03
 2.51370994e+03
 2.51372995e+03
 2.51329007e+03
 2.51327595e+03
 2.51369950e+03
 2.51397328e+03
 2.51332871e+03
 2.51329578e+03
 2.51374884e+03
 2.51449864e+03
 2.51516208e+03
 2.51488600e+03
 2.51486622e+03
 2.51593920e+03
 2.51648048e+03
 2.51565810e+03
 2.51535534e+03
 2.51536586e+03
 2.51506762e+03
 2.51545684e+03
 2.51735154e+03
 2.51666061e+03
 2.51569824e+03
 2.51618812e+03
 2.51598145e+03
 2.51580150e+03
 2.51503845e+03
 2.51534658e+03
 2.51542482e+03
 2.51468805e+03
 2.51545389e+03
 2.51631523e+03
 2.51470227e+03
 2.51354141e+03
 2.51362641e+03
 2.51394203e+03
 2.51370994e+03
 2.51370754e+03
 2.51352026e+03
 2.51337661e+03
 2.51365165e+03
 2.51424294e+03
 2.51368791e+03
 2.51327417e+03
 2.51342524e+03
 2.51402059e+03
 2.51446370e+03
 2.51499647e+03
 2.51520609e+03
 2.51515645e+03
 2.51522260e+03
 2.51541013e+03
 2.51553995e+03
 2.51485091e+03
 2.51490095e+03
 2.51627026e+03
 2.51643483e+03
 2.51577936e+03
 2.51596834e+03
 2.51686885e+03
 2.51572923e+03
 2.51425275e+03
 2.51453624e+03
 2.51563670e+03
 2.51572060e+03
 2.51579518e+03
 2.51530677e+03
 2.51589391e+03
 2.51606086e+03
 2.51408909e+03
 2.51345690e+03
 2.51375433e+03
 2.51360435e+03
 2.51367144e+03
 2.51401544e+03
 2.51377522e+03
 2.51360780e+03
 2.51364677e+03
 2.51392107e+03
 2.51359641e+03
 2.51348329e+03
 2.51401031e+03
 2.51426659e+03
 2.51437019e+03
 2.51454751e+03
 2.51449198e+03
 2.51529263e+03
 2.51552511e+03
 2.51583320e+03
 2.51653040e+03
 2.51536960e+03
 2.51503061e+03
 2.51547745e+03
 2.51583640e+03
 2.51684628e+03
 2.51534092e+03
 2.51485846e+03
 2.51667545e+03
 2.51608043e+03
 2.51545396e+03
 2.51515390e+03
 2.51506238e+03
 2.51571371e+03
 2.51553676e+03
 2.51567962e+03
 2.51668649e+03
 2.51512937e+03
 2.51354141e+03
 2.51363831e+03
 2.51369951e+03
 2.51364314e+03
 2.51398159e+03
 2.51401552e+03
 2.51367270e+03
 2.51372715e+03
 2.51357532e+03
 2.51351535e+03
 2.51365409e+03
 2.51360894e+03
 2.51419271e+03
 2.51480632e+03
 2.51445498e+03
 2.51461798e+03
 2.51578568e+03
 2.51607089e+03
 2.51608203e+03
 2.51663890e+03
 2.51681277e+03
 2.51637438e+03
 2.51613090e+03
 2.51659523e+03
 2.51601435e+03
 2.51587165e+03
 2.51632209e+03
 2.51663900e+03
 2.51573861e+03
 2.51727553e+03
 2.52256610e+03
 2.52120064e+03
 2.52042707e+03
 2.52403829e+03
 2.52345675e+03
 2.52232525e+03
 2.52193538e+03
 2.51851676e+03
 2.51486093e+03
 2.51477995e+03
 2.51650887e+03
 2.51597485e+03
 2.51488859e+03
 2.51487183e+03
 2.51549819e+03
 2.51490884e+03
 2.51516197e+03
 2.51799762e+03
 2.51909224e+03
 2.51759591e+03
 2.51815415e+03
 2.51983340e+03
 2.52118535e+03
 2.52263917e+03
 2.52329578e+03
 2.52297579e+03
 2.52248753e+03
 2.52180072e+03
 2.52231273e+03
 2.52240484e+03
 2.52128596e+03
 2.52192825e+03
 2.52208862e+03
 2.52201606e+03
 2.52110691e+03
 2.52093101e+03
 2.52375966e+03
 2.52236637e+03
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 Inf
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 Inf
 Inf
 2.51349809e+03
 2.51334094e+03
 Inf
 2.51330981e+03
 2.51339940e+03
 2.51364799e+03
 2.51415500e+03
 2.51400009e+03
 2.51439107e+03
 2.51494981e+03
 2.51431872e+03
 2.51444201e+03
 2.51462033e+03
 2.51525888e+03
 2.51611072e+03
 2.51572605e+03
 2.51618139e+03
 2.51702897e+03
 2.51612068e+03
 2.51558205e+03
 2.51523100e+03
 2.51516766e+03
 2.51594895e+03
 2.51546563e+03
 2.51457005e+03
 2.51387861e+03
 2.51451627e+03
 2.51499910e+03
 2.51369304e+03
 Inf
 2.51330103e+03
 2.51358190e+03
 2.51334043e+03
 2.51339383e+03
 2.51351049e+03
 2.51331648e+03
 2.51327413e+03
 Inf
 2.51338374e+03
 2.51347429e+03
 2.51384959e+03
 2.51481616e+03
 2.51473066e+03
 2.51434326e+03
 2.51476471e+03
 2.51580780e+03
 2.51536379e+03
 2.51412722e+03
 2.51398666e+03
 2.51433710e+03
 2.51431648e+03
 2.51405358e+03
 2.51402927e+03
 2.51488101e+03
 2.51475246e+03
 2.51379800e+03
 2.51350953e+03
 2.51412172e+03
 2.51530397e+03
 2.51498071e+03
 2.51400011e+03
 2.51342524e+03
 2.51333840e+03
 Inf
 Inf
 Inf
 2.51327422e+03
 2.51331730e+03
 2.51331940e+03
 2.51327448e+03
 2.51328565e+03
 2.51332506e+03
 2.51389573e+03
 2.51482854e+03
 2.51406238e+03
 2.51359416e+03
 2.51379656e+03
 2.51431265e+03
 2.51470231e+03
 2.51445067e+03
 2.51510508e+03
 2.51584595e+03
 2.51449641e+03
 2.51413092e+03
 2.51437431e+03
 2.51428044e+03
 2.51493951e+03
 2.51509181e+03
 2.51524213e+03
 2.51453631e+03
 2.51443358e+03
 2.51560318e+03
 2.51500684e+03
 2.51443137e+03
 2.51344684e+03
 Inf
 Inf
 2.51328249e+03
 2.51327432e+03
 Inf
 Inf
 7.42805808e+255
 2.51327669e+03
 2.51335554e+03
 2.51332372e+03
 2.51361705e+03
 2.51383610e+03
 2.51383265e+03
 2.51385564e+03
 2.51394691e+03
 2.51371125e+03
 2.51379655e+03
 2.51393878e+03
 2.51420995e+03
 2.51440797e+03
 2.51350568e+03
 2.51353729e+03
 2.51384959e+03
 2.51443994e+03
 2.51538118e+03
 2.51531194e+03
 2.51512669e+03
 2.51491397e+03
 2.51448546e+03
 2.51432079e+03
 2.51472374e+03
 2.51377242e+03
 2.51332461e+03
 2.51344191e+03
 2.51372051e+03
 2.51354657e+03
 2.51339521e+03
 2.51374065e+03
 2.51351437e+03
 2.51342679e+03
 2.51347429e+03
 2.51377664e+03
 2.51491906e+03
 2.51488959e+03
 2.51457911e+03
 2.51538981e+03
 2.51629792e+03
 2.51545683e+03
 2.51504114e+03
 2.51500719e+03
 2.51553690e+03
 2.51615106e+03
 2.51563664e+03
 2.51587458e+03
 2.51576670e+03
 2.51605070e+03
 2.51857154e+03
 2.51716482e+03
 2.51578256e+03
 2.51512673e+03
 2.51345099e+03
 2.51375847e+03
 2.51530963e+03
 2.51526529e+03
 2.51538114e+03
 2.51538519e+03
 2.51466451e+03
 2.51373930e+03
 2.51332110e+03
 2.51373524e+03
 2.51384660e+03
 Inf
 Inf
 2.51372717e+03
 2.51427652e+03
 2.51384807e+03
 2.51402229e+03
 2.51442282e+03
 2.51514842e+03
 2.51591013e+03
 2.51699439e+03
 2.51671932e+03
 2.51616454e+03
 2.51641290e+03
 2.51624955e+03
 2.51687259e+03
 2.51560620e+03
 2.51479894e+03
 2.51704431e+03
 2.51845349e+03
 2.51732734e+03
 2.51789424e+03
 2.51875162e+03
 2.51677518e+03
 2.51699752e+03
 2.51780517e+03
 2.51835433e+03
 2.51806242e+03
 2.51692563e+03
 2.49279864e+03
 2.51617805e+03
 2.51444423e+03
 2.51383610e+03
 2.51361705e+03
 2.51331982e+03
 2.51335385e+03
 2.51333443e+03
 Inf
 2.51350760e+03
 2.51403788e+03
 2.51396491e+03
 2.51517846e+03
 2.51580157e+03
 2.51657363e+03
 2.51661480e+03
 2.51623593e+03
 2.51663883e+03
 2.51735960e+03
 2.51811950e+03
 2.51721607e+03
 2.51598160e+03
 2.51548938e+03
 2.51555763e+03
 2.51673071e+03
 2.51720062e+03
 2.51777987e+03
 2.51846238e+03
 2.51893001e+03
 2.51954641e+03
 2.51873745e+03
 2.51801502e+03
 2.51933387e+03
 2.52052839e+03
 2.51910116e+03
 2.51871483e+03
 2.51775032e+03
 2.51698675e+03
 2.51723564e+03
 2.51563363e+03
 2.51370601e+03
 2.51335273e+03
 Inf
 Inf
 Inf
 Inf
 2.51328093e+03
 2.51343626e+03
 2.51334302e+03
 2.51343070e+03
 2.51400691e+03
 2.51486344e+03
 2.51456095e+03
 2.51450973e+03
 2.51453852e+03
 2.51444422e+03
 2.51516203e+03
 2.51439737e+03
 2.51422738e+03
 2.51385867e+03
 2.51364921e+03
 2.51396496e+03
 2.51424099e+03
 2.51412170e+03
 2.51371653e+03
 2.51465514e+03
 2.51469338e+03
 2.51443564e+03
 2.51503052e+03
 2.51501777e+03
 2.51538115e+03
 2.51483844e+03
 2.51514019e+03
 2.51641305e+03
 2.51555783e+03
 2.51416999e+03
 2.51349434e+03
 2.51340510e+03
 2.51330687e+03
 Inf
 Inf
 2.51333249e+03
 2.51341611e+03
 2.51349998e+03
 2.51373795e+03
 2.51437433e+03
 2.51485095e+03
 2.51530682e+03
 2.51671227e+03
 2.51743243e+03
 2.51680121e+03
 2.51723974e+03
 2.51838111e+03
 2.51660248e+03
 2.51577316e+03
 2.51667174e+03
 2.51650136e+03
 2.51695604e+03
 2.51591974e+03
 2.51612047e+03
 2.51928513e+03
 2.52020600e+03
 2.51936809e+03
 2.51977706e+03
 2.52025774e+03
 2.51701351e+03
 2.51706587e+03
 2.51592300e+03
 2.51357860e+03
 2.51331171e+03
 2.51330474e+03
 2.51611738e+03
 2.51817681e+03
 2.51462955e+03
 2.51392268e+03
 2.51381398e+03
 2.51352521e+03
 2.51331446e+03
 2.51355494e+03
 2.51423318e+03
 2.51393552e+03
 2.51435562e+03
 2.51672703e+03
 2.51900118e+03
 2.51775428e+03
 2.51756357e+03
 2.51901519e+03
 2.51921353e+03
 2.51786031e+03
 2.51800525e+03
 2.51990996e+03
 2.51927972e+03
 2.51843973e+03
 2.51828332e+03
 2.51803231e+03
 2.51800734e+03
 2.51911570e+03
 2.51939358e+03
 2.51950693e+03
 2.51966649e+03
 2.51858066e+03
 2.51684254e+03
 2.51606076e+03
 2.51696746e+03
 2.51863128e+03
 2.51894016e+03
 2.51724777e+03
 2.51489112e+03
 2.51454534e+03
 2.51700966e+03
 2.51887817e+03
 2.51487597e+03
 2.51354038e+03
 1.28160085e+142
 1.68102717e+121
 2.51364678e+03
 2.51368298e+03
 2.51392267e+03
 2.51381394e+03
 2.51344766e+03
 2.51342680e+03
 2.51461571e+03
 2.51691810e+03
 2.51604393e+03
 2.51571071e+03
 2.51621881e+03
 2.51615728e+03
 2.51561230e+03
 2.51594237e+03
 2.51465748e+03
 2.51376962e+03
 2.51462723e+03
 2.51529834e+03
 2.51515915e+03
 2.51568274e+03
 2.51577022e+03
 2.51618824e+03
 2.51672707e+03
 2.51583950e+03
 2.51678631e+03
 2.51653728e+03
 2.51361356e+03
 2.51328587e+03
 2.51414940e+03
 2.51572933e+03
 2.51351927e+03
 4.09926663e+268
 Inf
 2.51343466e+03
 2.51399843e+03
 2.51366769e+03
 2.51327983e+03
 2.51328982e+03
 2.51331607e+03
 2.51329849e+03
 2.51337789e+03
 2.51330202e+03
 2.51346549e+03
 2.51384959e+03
 2.51355599e+03
 2.51332596e+03
 2.51350282e+03
 2.51433301e+03
 2.51482115e+03
 2.51463879e+03
 2.51428447e+03
 2.51508362e+03
 2.51543353e+03
 2.51473333e+03
 2.51468357e+03
 2.51493951e+03
 2.51521156e+03
 2.51446149e+03
 2.51432489e+03
 2.51469752e+03
 2.51447016e+03
 2.51470702e+03
 2.51412722e+03
 2.51441428e+03
 2.51445296e+03
 2.51430253e+03
 2.51545980e+03
 2.51465045e+03
 2.51376962e+03
 2.51372455e+03
 2.51439528e+03
 2.51501480e+03
 2.51464578e+03
 2.51389887e+03
 2.51402916e+03
 2.51435357e+03
 2.51339178e+03
 Inf
 2.51329241e+03
 2.51335329e+03
 2.51334459e+03
 2.51343706e+03
 2.51343069e+03
 2.51361705e+03
 2.51354865e+03
 2.51329849e+03
 2.51391627e+03
 2.51489367e+03
 2.51428845e+03
 2.51433697e+03
 2.51404483e+03
 2.51403996e+03
 2.51452294e+03
 2.51482608e+03
 2.51504377e+03
 2.51469752e+03
 2.51452519e+03
 2.51474294e+03
 2.51449201e+03
 2.51436187e+03
 2.51444636e+03
 2.51502264e+03
 2.51556696e+03
 2.51548608e+03
 2.51497304e+03
 2.51438479e+03
 2.51445490e+03
 2.51403093e+03
 2.51426258e+03
 2.51598813e+03
 2.51545673e+03
 2.51453408e+03
 2.51473326e+03
 2.51496271e+03
 2.51589397e+03
 2.51763748e+03
 2.51513479e+03
 2.51357205e+03
 2.51345690e+03
 2.51351829e+03
 2.51362761e+03
 2.51358190e+03
 2.51327830e+03
 Inf
 Inf
 Inf
 2.51340010e+03
 2.51435358e+03
 2.51496534e+03
 2.51627718e+03
 2.51571982e+03
 2.51514298e+03
 2.51581407e+03
 2.51568869e+03
 2.51566759e+03
 2.51610732e+03
 2.51563971e+03
 2.51504375e+03
 2.51541297e+03
 2.51564288e+03
 2.51585233e+03
 2.51546861e+03
 2.51503847e+03
 2.51537534e+03
 2.51553101e+03
 2.51574178e+03
 2.51571645e+03
 2.51478421e+03
 2.51443781e+03
 2.51497821e+03
 2.51522270e+03
 2.51588433e+03
 2.51498080e+03
 2.51425866e+03
 2.51511046e+03
 2.51737972e+03
 2.51882653e+03
 2.51654110e+03
 2.51438898e+03
 2.51366770e+03
 2.51369815e+03
 2.51385261e+03
 2.51364435e+03
 2.51348602e+03
 2.51340581e+03
 2.51330405e+03
 2.51365532e+03
 2.51454528e+03
 2.51532673e+03
 2.51604416e+03
 2.51580131e+03
 2.51650885e+03
 2.51700597e+03
 2.51631513e+03
 2.51700192e+03
 2.49258759e+03
 2.51598157e+03
 2.51600197e+03
 2.51593594e+03
 2.51487850e+03
 2.51480903e+03
 2.51536099e+03
 2.51488856e+03
 2.51462035e+03
 2.51525046e+03
 2.51555798e+03
 2.51683876e+03
 2.51775466e+03
 2.51640947e+03
 2.51617155e+03
 2.51549227e+03
 2.51552421e+03
 2.51566428e+03
 2.51558797e+03
 2.51643067e+03
 2.51671616e+03
 2.51721225e+03
 2.51811070e+03
 2.51799664e+03
 2.51799840e+03
 2.51568893e+03
 2.49606904e+03
 2.51659165e+03
 2.51564277e+03
 2.51534962e+03
 2.51403960e+03
 2.51349528e+03
 2.51380088e+03
 2.51424294e+03
 2.51381541e+03
 2.51345099e+03
 2.51334726e+03
 Inf
 Inf
 Inf
 2.51384808e+03
 2.51541307e+03
 2.51431465e+03
 2.51376822e+03
 2.51431466e+03
 2.51508366e+03
 2.51606404e+03
 2.51684637e+03
 2.51599135e+03
 2.51507031e+03
 2.51546855e+03
 2.51639547e+03
 2.51641784e+03
 2.51659528e+03
 2.51519496e+03
 2.51459509e+03
 2.51588750e+03
 2.51624647e+03
 2.51573235e+03
 2.51627709e+03
 2.51652335e+03
 2.51592946e+03
 2.51644121e+03
 2.51753835e+03
 2.51617462e+03
 2.51594921e+03
 2.51653393e+03
 2.51650716e+03
 2.51803223e+03
 2.51875652e+03
 2.51802345e+03
 2.51694087e+03
 2.51623259e+03
 2.51699041e+03
 2.51643059e+03
 2.51558806e+03
 2.51543946e+03
 2.51543429e+03
 2.51614426e+03
 2.51595526e+03
 2.51680875e+03
 2.51621877e+03
 2.51386477e+03
 2.51355812e+03
 2.51336608e+03
 Inf
 Inf
 2.51338974e+03
 2.51355494e+03
 2.51373795e+03
 2.51363593e+03
 2.51553092e+03
 2.51817220e+03
 2.51676762e+03
 2.51561234e+03
 2.51566031e+03
 2.51617805e+03
 2.51571988e+03
 2.51519499e+03
 2.51577304e+03
 2.51611748e+03
 2.51703666e+03
 2.51750164e+03
 2.51662065e+03
 2.51673016e+03
 2.51693326e+03
 2.51774610e+03
 2.51777808e+03
 2.51601110e+03
 2.51529269e+03
 2.51637436e+03
 2.51600108e+03
 2.51490633e+03
 2.51551298e+03
 2.51598819e+03
 2.51635352e+03
 2.51608054e+03
 2.51564895e+03
 2.51751367e+03
 2.51793360e+03
 2.51654471e+03
 2.51619181e+03
 2.51778819e+03
 2.51989476e+03
 2.51998035e+03
 2.51839904e+03
 2.51943200e+03
 2.52001832e+03
 2.52008564e+03
 2.52159853e+03
 2.52119517e+03
 2.52026816e+03
 2.52048444e+03
 2.52130295e+03
 2.51989959e+03
 2.51698669e+03
 2.51450745e+03
 2.51407660e+03
 2.51413084e+03
 2.51379369e+03
 2.51439106e+03
 2.51524771e+03
 2.51487844e+03
 2.51421187e+03
 2.51402922e+03
 2.51733947e+03
 2.52024220e+03
 2.51761241e+03
 2.51692966e+03
 2.51799321e+03
 2.51746858e+03
 2.51708705e+03
 2.51771243e+03
 2.51913502e+03
 2.52033160e+03
 2.52039864e+03
 2.52061951e+03
 2.52222968e+03
 2.52274978e+03
 2.52078739e+03
 2.48685305e+03
 2.52161575e+03
 2.52227174e+03
 2.52272471e+03
 2.52227700e+03
 2.52191739e+03
 2.52078752e+03
 2.51554889e+03
 2.51564409e+03
 2.52089137e+03
 2.51984233e+03
 2.51900587e+03
 2.52181205e+03
 2.52280492e+03
 2.52098482e+03
 2.52012720e+03
 2.52001421e+03
 2.52014748e+03
 2.52125228e+03
 2.52090158e+03
 2.51946194e+03
 2.48812463e+03
 2.51990995e+03
 2.51893917e+03
 2.51948140e+03
 2.51952854e+03
 2.51913492e+03
 2.52038947e+03
 2.51927519e+03
 2.51655195e+03
 2.51553100e+03
 2.51465984e+03
 2.51451858e+03
 2.51477201e+03
 2.51430859e+03
 2.51463649e+03
 2.51509437e+03
 2.51478174e+03
 2.51452518e+03
 2.51692560e+03
 2.51937344e+03
 2.51780919e+03
 2.51742851e+03
 2.51780503e+03
 2.51868662e+03
 2.51997684e+03
 2.52046461e+03
 2.52019428e+03
 2.51914461e+03
 2.51923961e+03
 2.52139329e+03
 2.48547369e+03
 2.51968145e+03
 2.52044223e+03
 2.52117409e+03
 2.52049578e+03
 2.51922199e+03
 2.51827393e+03
 2.51914922e+03
 2.52057117e+03
 2.52043491e+03
 2.52019476e+03
 2.52143861e+03
 2.52231958e+03
 2.52073835e+03
 2.51988468e+03
 2.52052783e+03
 2.51996618e+03
 2.51742817e+03
 2.51614098e+03
 2.51737152e+03
 2.51939789e+03
 2.52083151e+03
 2.52038883e+03
 2.51935853e+03
 2.51990959e+03
 2.52042164e+03
 2.51930944e+03
 2.52032053e+03
 2.52021864e+03
 2.51882623e+03
 2.52001771e+03
 2.52026390e+03
 2.51858525e+03
 2.51679016e+03
 2.51528419e+03
 2.51437434e+03
 2.51385564e+03
 2.51371919e+03
 2.51374745e+03
 2.51416811e+03
 2.51395343e+03
 2.51378088e+03
 2.51471896e+03
 2.51427646e+03
 2.51385564e+03
 2.51374203e+03
 2.51395344e+03
 2.51388323e+03
 2.51392426e+03
 2.51441643e+03
 2.51451416e+03
 2.51469043e+03
 2.51424293e+03
 2.51437220e+03
 2.51430050e+03
 2.51376125e+03
 2.51411076e+03
 2.51461572e+03
 2.51487100e+03
 2.51432483e+03
 2.51363474e+03
 2.51370078e+03
 2.51391469e+03
 2.51598813e+03
 2.51786052e+03
 2.51757049e+03
 2.51928021e+03
 2.51962719e+03
 2.52057111e+03
 2.52019935e+03
 2.52133099e+03
 2.52312595e+03
 2.52043722e+03
 2.51956170e+03
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 Inf
 Inf
 2.51380958e+03
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 1.43629753e+241
 Inf
 2.51335554e+03
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 Inf
 Inf
 Inf
 2.51331730e+03
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 2.51391788e+03
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 2.51680885e+03
 2.51629434e+03
 2.51625028e+03
 2.51689905e+03
 2.51645536e+03
 2.51404658e+03
 Inf
 2.51327438e+03
 2.51360208e+03
 2.51387245e+03
 2.51335783e+03
 Inf
 2.51348329e+03
 2.51357861e+03
 2.51332110e+03
 2.51328587e+03
 2.51332918e+03
 2.51332024e+03
 Inf
 Inf
 Inf
 2.51332965e+03
 2.51333395e+03
 2.51370471e+03
 2.51425276e+03
 2.51355494e+03
 2.51337221e+03
 2.51342992e+03
 2.51342446e+03
 2.51329378e+03
 2.51327792e+03
 2.51342447e+03
 2.51334942e+03
 Inf
 2.51327768e+03
 2.51327745e+03
 2.51329032e+03
 2.51328362e+03
 2.51334302e+03
 2.51362761e+03
 2.51364926e+03
 2.51338506e+03
 Inf
 2.51329548e+03
 2.51379944e+03
 2.51392913e+03
 2.51375571e+03
 Inf
 2.51332641e+03
 2.51417753e+03
 2.51400685e+03
 2.51376543e+03
 2.51354658e+03
 2.51433300e+03
 2.51430411e+03
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 2.51343070e+03
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 2.51698290e+03
 2.51780558e+03
 2.51408371e+03
 2.51329214e+03
 2.51464580e+03
 2.51439726e+03
 Inf
 Inf
 2.51330474e+03
 2.51332687e+03
 2.51328143e+03
 Inf
 2.51418321e+03
 2.51711038e+03
 2.51404832e+03
 Inf
 Inf
 2.51327460e+03
 2.51330474e+03
 2.51404134e+03
 2.51646970e+03
 2.51489613e+03
 2.51356989e+03
 2.51377803e+03
 2.51465515e+03
 2.51437011e+03
 2.51393878e+03
 2.51465514e+03
 2.51405709e+03
 2.51364557e+03
 2.51403959e+03
 2.51499907e+03
 2.51425667e+03
 2.51339800e+03
 2.51393069e+03
 2.51441221e+03
 2.51430853e+03
 2.51406947e+03
 2.51409080e+03
 2.51455875e+03
 2.51513755e+03
 2.51493175e+03
 2.51395345e+03
 2.51404302e+03
 2.51418511e+03
 2.51476474e+03
 2.51546278e+03
 2.51505959e+03
 2.51471898e+03
 2.51444424e+03
 2.51420996e+03
 2.51468096e+03
 2.51398830e+03
 2.51343787e+03
 2.51401715e+03
 2.51522265e+03
 2.51495481e+03
 2.51401544e+03
 2.51384659e+03
 2.51533522e+03
 2.51603433e+03
 2.51537247e+03
 2.51669747e+03
 2.51601099e+03
 2.51445934e+03
 2.51439342e+03
 2.51584590e+03
 2.51601822e+03
 2.51417187e+03
 2.51410549e+03
 2.51539850e+03
 2.51508617e+03
 2.51456779e+03
 2.51359754e+03
 2.51343948e+03
 2.51396828e+03
 2.51339110e+03
 2.51328481e+03
 2.51198068e+03
 2.51337283e+03
 2.51353325e+03
 2.51339521e+03
 2.51335956e+03
 Inf
 Inf
 2.51329187e+03
 2.51334942e+03
 2.51327432e+03
 Inf
 2.51327412e+03
 2.51332153e+03
 2.51327856e+03
 Inf
 Inf
 2.51327756e+03
 Inf
 Inf
 2.51328077e+03
 2.51331813e+03
 2.51333690e+03
 2.51416060e+03
 2.51466222e+03
 2.51370601e+03
 2.51341165e+03
 Inf
 2.51333059e+03
 2.51413643e+03
 2.51409065e+03
 2.51329726e+03
 1.63417512e+294
 Inf
 2.51328565e+03
 2.51331327e+03
 Inf
 8.00811975e+296
 Inf
 2.51404483e+03
 2.51513487e+03
 2.51372583e+03
 2.51327830e+03
 2.51347251e+03
 2.51377523e+03
 2.51388172e+03
 2.51362879e+03
 2.51352026e+03
 2.51334043e+03
 Inf
 Inf
 Inf
 Inf
 2.51433915e+03
 2.51427010e+03
 2.51329268e+03
 2.51333492e+03
 2.51327954e+03
 2.51328160e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.48562971e+222
 Inf
 Inf
 8.99743783e+288
 1.44889324e+222
 2.51327465e+03
 2.51328884e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327484e+03
 2.51328697e+03
 Inf
 Inf
 Inf
 2.51398998e+03
 2.51348419e+03
 1.44313314e+193
 5.47196930e+123
 4.99808813e+106
 2.29048983e+130
 1.09141198e+103
 7.94773201e+72
 2.14855726e+68
 1.15700336e+74
 1.25822883e+80
 6.75925081e+76
 4.16562247e+81
 4.29160775e+97
 2.07182621e+102
 7.12429197e+97
 1.40341206e+100
 9.17726086e+123
 3.04877732e+143
 1.05216177e+117
 7.15371668e+97
 2.78493168e+85
 1.65078714e+101
 4.28211161e+110
 1.12458400e+89
 1.78673286e+140
 9.30132513e+155
 1.38699529e+90
 4.30878209e+97
 2.94862742e+99
 1.36373791e+119
 4.21053280e+125
 2.51333154e+03
 2.51369177e+03
 2.38984007e+183
 1.43931857e+123
 1.26484347e+113
 2.38195430e+114
 3.90682025e+89
 1.58093312e+80
 5.73464368e+103
 3.46550293e+117
 1.72558333e+142
 3.62402760e+161
 5.18059964e+140
 1.16590686e+179
 1.13038894e+174
 4.03198152e+118
 1.20311189e+129
 3.94414797e+155
 1.57393522e+116
 1.87583687e+108
 5.09355251e+116
 1.00365315e+212
 Inf
 7.20531052e+192
 1.46238612e+162
 1.31703447e+144
 1.00634908e+121
 1.16684691e+132
 Inf
 Inf
 1.13634740e+112
 1.80382915e+83
 1.98559328e+94
 5.34836994e+123
 1.17374980e+118
 5.99076569e+85
 6.03245569e+86
 2.83750339e+95
 1.45788146e+86
 5.29343132e+83
 6.15851051e+84
 8.35805979e+97
 2.75801691e+91
 5.54540317e+75
 1.88038324e+82
 1.09647328e+84
 9.71653102e+88
 5.67366089e+105
 4.17862268e+109
 4.35083400e+94
 4.16104472e+109
 1.68385233e+126
 4.27350801e+108
 5.01439337e+142
 6.68287277e+197
 1.32409036e+144
 2.83088984e+128
 9.44464715e+159
 2.73867443e+235
 1.01791374e+168
 3.38817122e+106
 6.39724661e+122
 6.09241420e+121
 7.52709452e+114
 3.69102914e+107
 8.95148561e+128
 1.03158979e+131
 2.87407147e+95
 4.73887455e+119
 7.89317418e+121
 5.92419124e+99
 3.69967610e+96
 6.06697514e+92
 1.77102228e+95
 2.71268991e+117
 1.57833145e+128
 1.10950804e+112
 1.00255710e+287
 Inf
 6.75847335e+164
 Inf
 1.26650787e+178
 8.98631953e+91
 1.29826837e+303
 Inf
 4.23784200e+123
 Inf
 Inf
 Inf
 Inf
 2.50820904e+278
 5.72212446e+174
 2.44802959e+123
 1.09165458e+123
 1.16987505e+139
 8.70910835e+249
 8.28231294e+250
 1.75681327e+165
 Inf
 5.93085403e+160
 4.65739554e+111
 2.68892969e+168
 7.13540313e+292
 Inf
 1.45631318e+246
 Inf
 Inf
 3.06473270e+267
 Inf
 1.59287969e+280
 2.33705786e+147
 3.82811682e+150
 1.27337465e+151
 2.42396728e+111
 9.05058646e+106
 2.88683546e+119
 2.16275602e+121
 2.42250509e+123
 5.65704390e+144
 6.33311762e+143
 7.75136691e+115
 7.73650108e+120
 1.01641385e+120
 1.12699779e+89
 1.49723582e+82
 8.62406082e+95
 1.08040842e+136
 1.91144819e+157
 1.48768734e+109
 1.20574058e+124
 3.76309122e+128
 1.95276532e+96
 4.79079498e+103
 2.98486909e+114
 9.46174861e+114
 5.85462001e+101
 3.88857811e+126
 1.71918626e+165
 1.20491619e+115
 6.32339461e+131
 8.26441299e+258
 1.45603049e+219
 7.39491788e+140
 7.43892492e+132
 2.91152484e+136
 9.47864908e+129
 3.03191651e+115
 1.51011184e+114
 4.12404163e+123
 4.23685194e+138
 3.46474758e+131
 1.34669792e+154
 1.58731749e+227
 Inf
 Inf
 7.43595758e+170
 4.28142307e+138
 5.73445501e+135
 3.89845654e+105
 7.85655995e+121
 2.95809102e+126
 2.42965638e+125
 8.90643874e+111
 5.62679180e+130
 Inf
 2.76623842e+198
 1.12340160e+93
 5.65267627e+90
 1.85575975e+133
 6.01969018e+120
 4.66870428e+104
 2.14179052e+132
 9.63252402e+171
 4.28220893e+138
 9.04479308e+133
 6.05292546e+155
 2.15726754e+178
 8.24618860e+222
 1.15472671e+180