2.51354970e+03
 2.51377242e+03
 2.51363235e+03
 2.51340294e+03
 2.51337662e+03
 2.51346031e+03
 2.51344600e+03
 2.51334942e+03
 2.51343387e+03
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 2.51335107e+03
 2.51344849e+03
 2.51345606e+03
 2.51338374e+03
 2.51330269e+03
 2.51328957e+03
 2.51329350e+03
 Inf
 Inf
 2.51327533e+03
 2.51328143e+03
 2.51327563e+03
 Inf
 Inf
 2.51327484e+03
 2.51329350e+03
 2.51327490e+03
 2.51327419e+03
 2.51327570e+03
 Inf
 2.51328093e+03
 2.51332461e+03
 2.51333154e+03
 2.51328045e+03
 2.51328441e+03
 2.51332825e+03
 Inf
 Inf
 2.51327429e+03
 Inf
 2.51327587e+03
 2.51328884e+03
 Inf
 Inf
 Inf
 2.51465749e+03
 2.51877963e+03
 2.51889270e+03
 2.51688771e+03
 2.51573556e+03
 2.51489367e+03
 2.51383312e+03
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 2.51363713e+03
 2.51355074e+03
 2.51351340e+03
 2.51353122e+03
 2.51367774e+03
 2.51364193e+03
 2.51370470e+03
 2.50555026e+03
 2.51369821e+03
 2.51358080e+03
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 2.51394854e+03
 2.51364799e+03
 2.51346549e+03
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 2.51344029e+03
 2.51335783e+03
 2.51366025e+03
 2.51358743e+03
 2.51351049e+03
 2.51384357e+03
 2.51375570e+03
 2.51349621e+03
 2.51347430e+03
 2.51350092e+03
 2.51341165e+03
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 2.51350092e+03
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 2.51372584e+03
 2.51354038e+03
 2.51345267e+03
 2.51347340e+03
 2.51396662e+03
 2.51373523e+03
 Inf
 2.51328502e+03
 2.51328160e+03
 2.51329322e+03
 2.51330202e+03
 2.51331171e+03
 2.51331648e+03
 2.51329057e+03
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 2.51341837e+03
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 2.51343228e+03
 2.51357970e+03
 2.51356556e+03
 2.51372717e+03
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 2.51341018e+03
 2.51337346e+03
 2.51336309e+03
 2.51347966e+03
 2.51343626e+03
 2.51327701e+03
 Inf
 Inf
 2.51328143e+03
 2.51328045e+03
 Inf
 Inf
 2.51331526e+03
 2.51331939e+03
 2.51328014e+03
 Inf
 2.51328249e+03
 2.51340799e+03
 2.51335498e+03
 2.51340366e+03
 2.51338505e+03
 2.51337725e+03
 2.51353123e+03
 2.51332733e+03
 2.51328178e+03
 2.51331018e+03
 2.51333941e+03
 2.51328401e+03
 2.51327507e+03
 2.51341611e+03
 2.51357860e+03
 2.51341686e+03
 2.51327722e+03
 2.51331526e+03
 2.51362407e+03
 2.51359863e+03
 2.51353731e+03
 2.51346289e+03
 2.51330981e+03
 2.51338047e+03
 2.51351243e+03
 2.51339110e+03
 2.51333840e+03
 2.51338373e+03
 2.51337345e+03
 2.51334459e+03
 2.51327422e+03
 Inf
 Inf
 Inf
 3.52934521e+291
 3.47956080e+222
 1.03069969e+261
 1.15921832e+180
 3.69604699e+162
 1.40970220e+191
 Inf
 1.73520932e+240
 6.48117652e+151
 1.85617610e+220
 7.31858141e+255
 8.66246920e+188
 2.29216013e+173
 Inf
 Inf
 9.92967709e+278
 Inf
 Inf
 2.51327745e+03
 2.51330236e+03
 2.51327711e+03
 2.51327427e+03
 2.51327533e+03
 Inf
 2.51328342e+03
 2.51327501e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327520e+03
 2.51328720e+03
 2.51327520e+03
 7.57037556e+292
 7.79576878e+296
 Inf
 Inf
 Inf
 2.51327527e+03
 Inf
 Inf
 Inf
 2.51329787e+03
 2.51329434e+03
 2.51327452e+03
 Inf
 Inf
 2.51331133e+03
 2.51330103e+03
 2.51328061e+03
 2.51327631e+03
 2.51339315e+03
 2.51357423e+03
 2.51359082e+03
 2.51362879e+03
 2.51360779e+03
 2.51339591e+03
 2.51332110e+03
 2.51340081e+03
 2.51354244e+03
 2.51348511e+03
 2.51340223e+03
 2.51334672e+03
 Inf
 Inf
 2.51327427e+03
 Inf
 2.51329849e+03
 2.51365410e+03
 2.51340010e+03
 2.51333840e+03
 2.51340223e+03
 2.51356343e+03
 2.51338705e+03
 2.51333891e+03
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 2.51366766e+03
 2.51372450e+03
 2.51369047e+03
 2.51340152e+03
 2.51328765e+03
 2.51330169e+03
 2.51336912e+03
 2.51346463e+03
 2.51355284e+03
 2.51331249e+03
 2.51330104e+03
 2.51337982e+03
 2.51329007e+03
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 2.51331018e+03
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 2.51353325e+03
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 2.51394852e+03
 2.51379513e+03
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 5.23899649e+15
 2.48830846e+16
 1.11137546e+15
 1.51090341e+15
 6.69507220e+20
 1.15316429e+30
 4.55209836e+19
 9.78472107e+15
 1.08043923e+18
 1.19592672e+19
 6.57140672e+18
 3.29107536e+19
 7.37171823e+19
 9.15126906e+25
 1.38863408e+31
 9.84417245e+26
 3.79244837e+29
 4.51800267e+22
 2.34374591e+17
 5.86460863e+17
 1.97407215e+17
 4.37878169e+17
 1.93907070e+18
 7.17822466e+19
 3.55321670e+20
 1.10060968e+19
 3.78684256e+20
 6.66309647e+20
 5.23979451e+20
 1.04801841e+21
 1.16410442e+21
 9.30613488e+22
 2.13615556e+23
 3.88729390e+21
 2.65346703e+22
 2.58809505e+27
 4.62308741e+32
 4.65720492e+33
 8.51858801e+29
 9.09780762e+24
 3.03795901e+22
 3.48181708e+25
 2.17453790e+38
 7.73976242e+32
 2.60405387e+26
 2.34711198e+28
 1.72727375e+23
 1.40398252e+20
 1.06353451e+21
 9.82982738e+15
 7.68458301e+13
 8.79032490e+19
 7.66704738e+22
 5.22472689e+16
 1.80852589e+17
 1.25941321e+17
 2.52662776e+17
 2.66535355e+16
 5.89169804e+15
 1.77596201e+15
 1.01401507e+20
 2.04277728e+21
 3.26873792e+15
 6.18768679e+14
 3.77194182e+14
 8.31958153e+14
 1.76422844e+15
 2.47072690e+15
 5.07154389e+15
 3.35771910e+16
 1.30555672e+17
 2.18088721e+17
 5.28136097e+16
 2.71434325e+15
 4.85465449e+14
 3.55830990e+14
 1.04266895e+15
 2.00896346e+15
 1.09709592e+15
 8.50593009e+14
 1.82913161e+26
 Inf
 2.51333690e+03
 2.51329405e+03
 2.51341165e+03
 2.51352922e+03
 2.51366521e+03
 2.51352322e+03
 2.51357422e+03
 2.51421959e+03
 2.51442501e+03
 2.51376403e+03
 2.51353528e+03
 2.51380958e+03
 2.51347607e+03
 2.51372717e+03
 2.51457005e+03
 2.51432072e+03
 2.51470702e+03
 2.51444636e+03
 2.51380089e+03
 2.51353630e+03
 2.51343307e+03
 2.51362998e+03
 2.51356664e+03
 2.51327968e+03
 Inf
 2.51328381e+03
 Inf
 6.43882633e+280
 Inf
 Inf
 Inf
 Inf
 2.51333640e+03
 2.51334095e+03
 2.51327856e+03
 2.51335611e+03
 2.51364436e+03
 2.51381251e+03
 2.51355179e+03
 2.51381834e+03
 2.51443351e+03
 2.51390674e+03
 2.51393382e+03
 2.51382718e+03
 2.51348878e+03
 2.51383460e+03
 2.51418322e+03
 2.51391946e+03
 2.51333012e+03
 Inf
 2.51327612e+03
 2.51327621e+03
 2.51327856e+03
 Inf
 Inf
 Inf
 1.98203740e+207
 3.21176618e+166
 6.60317780e+270
 Inf
 Inf
 Inf
 2.51331288e+03
 2.51336073e+03
 Inf
 Inf
 2.51330795e+03
 2.51340438e+03
 2.51329032e+03
 2.51327690e+03
 2.51335611e+03
 2.51335051e+03
 2.51350377e+03
 2.51352622e+03
 2.51328077e+03
 Inf
 Inf
 Inf
 2.51328143e+03
 Inf
 2.51338177e+03
 2.51339179e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327983e+03
 2.51329268e+03
 2.51332506e+03
 2.51329007e+03
 2.51327507e+03
 2.51328362e+03
 Inf
 2.51327419e+03
 Inf
 2.51327435e+03
 2.51328045e+03
 Inf
 2.51327469e+03
 Inf
 3.01726433e+238
 Inf
 2.51332506e+03
 2.51328014e+03
 Inf
 2.51328029e+03
 2.51330906e+03
 Inf
 Inf
 2.51327911e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51333012e+03
 2.51342140e+03
 2.51332240e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51372317e+03
 2.51367264e+03
 8.89475834e+250
 7.73968635e+290
 Inf
 Inf
 Inf
 Inf
 3.45289594e+197
 1.66748516e+139
 3.70974622e+167
 7.92812800e+172
 5.72844148e+189
 9.96641908e+193
 2.95258171e+137
 7.64033231e+145
 2.72556121e+235
 Inf
 Inf
 Inf
 2.45982498e+252
 9.04267592e+206
 2.42088208e+286
 2.46073654e+278
 2.62012464e+226
 2.13847238e+300
 Inf
 Inf
 4.16630260e+208
 5.76437968e+189
 Inf
 4.96125631e+245
 2.09299860e+179
 4.39671494e+205
 5.58834905e+233
 7.44773724e+183
 1.73712216e+145
 2.77544995e+109
 7.32618876e+152
 3.42156080e+171
 1.47858163e+141
 1.68036947e+197
 3.79134021e+194
 2.04060054e+180
 2.57516156e+153
 2.26026576e+122
 9.24870956e+123
 7.89666744e+135
 1.23875151e+116
 1.52282894e+87
 1.01449873e+96
 8.20824573e+134
 4.57688922e+157
 2.19501635e+199
 1.45254782e+195
 7.49546366e+168
 4.73595674e+240
 2.22974945e+156
 5.90117050e+101
 5.39188236e+132
 1.88327626e+108
 8.92409349e+98
 2.77448861e+120
 1.27851923e+126
 5.38360803e+98
 1.80640761e+109
 2.00885641e+190
 4.40642049e+205
 7.42208288e+194
 7.40915245e+183
 2.87555999e+214
 1.92282629e+207
 2.57501870e+164
 1.91586451e+114
 3.93210790e+95
 2.36111291e+188
 5.56900043e+233
 1.36101098e+198
 Inf
 4.53922215e+199
 1.59836039e+164
 1.57555241e+264
 Inf
 5.72127844e+233
 1.95307664e+194
 Inf
 Inf
 1.63815397e+36
 4.90169393e+27
 5.62953210e+51
 1.07254117e+84
 4.29041129e+184
 2.64128356e+218
 5.78540608e+202
 1.24234326e+178
 7.61505079e+200
 3.40223591e+147
 6.06654770e+134
 1.00684258e+159
 3.42655100e+171
 2.63331179e+218
 3.41503931e+272
 1.72931268e+240
 Inf
 9.35914907e+271
 6.58878018e+139
 2.01589311e+180
 4.86873475e+245
 6.33188547e+280
 7.05008229e+243
 Inf
 Inf
 Inf
 1.40641001e+303
 2.45620886e+286
 Inf
 Inf
 Inf
 Inf
 Inf
 3.94378727e+289
 7.77004044e+176
 1.91351655e+151
 2.32781682e+139
 9.51999584e+114
 4.22357228e+151
 7.32479483e+140
 1.07699601e+119
 1.60438707e+127
 5.18324299e+156
 1.58139562e+159
 5.27143144e+129
 5.15583817e+166
 2.48933622e+221
 3.68854397e+140
 2.48675880e+113
 7.60032930e+130
 1.16747667e+232
 Inf
 1.41370716e+167
 5.27825902e+129
 1.87061115e+305
 7.50360343e+235
 1.35141257e+117
 4.12552268e+135
 6.31861361e+143
 5.53772194e+195
 2.19648578e+105
 4.27511672e+91
 5.68587709e+160
 6.52808060e+112
 1.21495403e+105
 1.69413200e+216
 Inf
 1.16887824e+180
 2.15726608e+127
 4.50038457e+188
 3.43897355e+261
 7.76951300e+145
 6.48079141e+108
 5.01477496e+142
 1.21162152e+171
 2.21030332e+156
 1.06951101e+148
 1.27827733e+130
 3.11017722e+130
 2.90966913e+136
 6.05731807e+155
 1.35607642e+193
 1.13305128e+174
 7.38159564e+146
 1.87492244e+208
 4.85528600e+223
 6.79603589e+197
 9.30381812e+185
 4.00337457e+216
 2.51335498e+03
 2.51350760e+03
 2.51337534e+03
 2.51417942e+03
 2.51413068e+03
 2.51358967e+03
 2.51394527e+03
 2.51390511e+03
 2.51328178e+03
 Inf
 2.51375848e+03
 2.51447021e+03
 2.51425073e+03
 2.51421000e+03
 2.51402231e+03
 2.51366521e+03
 2.51335329e+03
 2.51337534e+03
 2.51353936e+03
 2.51356025e+03
 2.51344110e+03
 2.51366148e+03
 2.51351829e+03
 Inf
 Inf
 2.51342835e+03
 2.51327780e+03
 Inf
 Inf
 Inf
 Inf
 1.43506432e+303
 Inf
 2.62668579e+258
 7.70403175e+200
 Inf
 2.51339660e+03
 2.51344437e+03
 2.51338705e+03
 2.51351437e+03
 Inf
 1.77435404e+150
 1.43706320e+195
 Inf
 2.51345267e+03
 2.51346552e+03
 2.51339110e+03
 Inf
 2.51332284e+03
 2.51381835e+03
 2.51389892e+03
 2.51362407e+03
 2.51335841e+03
 2.51329109e+03
 2.51338705e+03
 2.51344766e+03
 2.51330474e+03
 2.51327817e+03
 2.51329975e+03
 2.51338705e+03
 2.51333941e+03
 Inf
 Inf
 Inf
 Inf
 1.06337168e+226
 2.60384437e+226
 6.14987404e+155
 3.18345225e+166
 2.09246708e+211
 Inf
 Inf
 Inf
 Inf
 2.02015968e+288
 3.78722036e+200
 5.79172100e+244
 Inf
 2.48767475e+184
 1.07777151e+165
 6.90036446e+274
 Inf
 3.96178261e+190
 1.09606195e+199
 Inf
 2.51328061e+03
 2.51329083e+03
 2.51327925e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327595e+03
 2.51327968e+03
 2.51328267e+03
 2.51329032e+03
 Inf
 Inf
 2.51327452e+03
 2.51327429e+03
 2.51327412e+03
 2.51327533e+03
 2.51327817e+03
 2.51330869e+03
 2.51333590e+03
 2.51329378e+03
 Inf
 7.80749014e+176
 8.47606310e+242
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.60901905e+281
 Inf
 Inf
 Inf
 2.61550626e+281
 Inf
 1.96499785e+305
 7.80617963e+296
 9.25456314e+271
 1.81215704e+298
 Inf
 2.51327416e+03
 Inf
 7.38338801e+253
 Inf
 2.51359528e+03
 2.51348785e+03
 Inf
 1.60102038e+277
 4.11905161e+183
 1.28109834e+151
 8.56528735e+141
 2.84208976e+108
 1.93311318e+111
 3.56313562e+124
 1.90309203e+174
 4.89002009e+217
 9.89447606e+115
 1.89609595e+86
 6.18833389e+102
 8.14745100e+110
 1.22947791e+134
 5.60839062e+136
 4.95667730e+122
 Inf
 Inf
 2.45228990e+163
 8.31043333e+116
 1.52503028e+106
 6.58180233e+110
 1.83291707e+110
 8.38248554e+188
 2.95330512e+267
 3.84174909e+127
 4.09640497e+101
 4.79982415e+100
 1.02378123e+143
 3.87959946e+237
 Inf
 Inf
 Inf
 Inf
 3.23188195e+186
 1.27601578e+214
 1.62159970e+189
 1.60525325e+124
 2.18468916e+156
 8.96280512e+127
 1.46714402e+88
 7.05737304e+96
 2.38999599e+111
 1.57353650e+103
 1.25301707e+111
 3.01367486e+107
 3.69826174e+91
 3.15699385e+86
 3.15110817e+104
 3.75492800e+114
 2.38315007e+114
 6.85887861e+126
 4.65711832e+120
 2.61706610e+84
 4.30782738e+80
 2.48265209e+88
 1.58668580e+84
 6.49813790e+90
 2.09309062e+143
 7.29896863e+252
 3.41646817e+197
 2.51357423e+03
 2.51398330e+03
 2.51350760e+03
 2.51349813e+03
 Inf
 Inf
 3.48974520e+295
 3.89654646e+289
 Inf
 1.15658095e+218
 9.36695107e+205
 2.43352311e+257
 1.80845616e+298
 Inf
 1.38195064e+263
 6.50522651e+180
 4.69348230e+172
 8.56116981e+150
 6.93945742e+224
 2.34642951e+256
 2.38145572e+160
 1.85825763e+125
 4.06244471e+137
 4.23088169e+125
 7.15740332e+111
 1.89439426e+115
 1.10580931e+112
 1.56809230e+135
 2.39039541e+149
 2.93178013e+137
 7.40466307e+168
 4.90980610e+113
 4.88764583e+78
 9.49262860e+125
 2.29110654e+162
 5.18134756e+140
 2.13388330e+143
 8.22554289e+144
 1.35182695e+193
 1.04770363e+143
 8.13103648e+112
 1.01620721e+108
 7.30041247e+125
 7.19533908e+170
 2.18290393e+138
 2.02852296e+107
 9.15381061e+117
 2.70727287e+144
 2.24795699e+126
 2.13785735e+178
 7.67308416e+176
 2.15635868e+127
 1.01813769e+120
 5.65342763e+117
 2.73278515e+98
 4.22646722e+79
 1.36699605e+73
 1.27478629e+74
 1.69320762e+94
 1.19144797e+129
 2.99809879e+111
 1.40947415e+100
 3.38675498e+89
 6.30914808e+98
 1.11561966e+180
 9.18735269e+161
 6.02680891e+141
 1.44013056e+152
 4.72502286e+124
 1.10857224e+112
 4.38465517e+87
 3.64713518e+97
 1.92543517e+111
 3.39721139e+89
 2.93574386e+84
 2.17235250e+88
 3.55893972e+120
 1.24837776e+108
 9.93720535e+99
 2.81113841e+108
 6.12180861e+119
 2.75653208e+106
 1.67079892e+88
 2.06377041e+102
 9.02413862e+106
 6.56738997e+79
 1.15705138e+87
 1.50931240e+87
 3.45528809e+297
 Inf
 9.41300202e+76
 1.01672911e+92
 2.05458530e+124
 2.24762263e+97
 1.11290713e+88
 3.20337669e+98
 1.48431215e+85
 6.00401903e+78
 1.37307430e+125
 Inf
 3.24967508e+201
 4.17879929e+209
 2.52085397e+251
 3.38564461e+215
 2.13372137e+300
 3.85465788e+268
 8.03703135e+219
 4.44761684e+176
 1.43930584e+156
 9.81949039e+108
 8.72764833e+90
 1.37340057e+92
 1.94058206e+89
 4.26036944e+110
 7.33042611e+148
 2.50256400e+145
 3.71617310e+167
 1.52698412e+136
 7.36077848e+125
 1.47293823e+185
 7.06622184e+192
 4.30023887e+151
 1.16236451e+152
 Inf
 7.52014272e+194
 1.05974157e+117
 9.25009069e+162
 1.45478663e+161
 3.10310729e+284
 Inf
 4.49422379e+282
 1.25244404e+247
 1.48689999e+176
 Inf
 2.51327595e+03
 Inf
 2.51327587e+03
 Inf
 4.72026238e+211
 2.51328932e+03
 2.51349809e+03
 2.51352623e+03
 2.51340010e+03
 2.51329241e+03
 2.51327527e+03
 2.51327631e+03
 Inf
 Inf
 2.51329161e+03
 2.51330687e+03
 Inf
 1.64615280e+264
 Inf
 Inf
 Inf
 Inf
 Inf
 5.43211503e+301
 3.79106553e+200
 8.97962701e+206
 7.11194223e+303
 Inf
 Inf
 Inf
 2.51327417e+03
 2.51328126e+03
 Inf
 2.51328045e+03
 2.51350473e+03
 2.51336850e+03
 2.51327690e+03
 Inf
 Inf
 2.51331366e+03
 2.51333640e+03
 2.51341018e+03
 2.51329519e+03
 2.51327595e+03
 2.51348878e+03
 2.51351051e+03
 2.51335898e+03
 2.51339730e+03
 2.51352026e+03
 2.51336608e+03
 2.51334407e+03
 2.51329135e+03
 Inf
 2.51340223e+03
 2.51336368e+03
 2.51327780e+03
 2.51329032e+03
 2.51327768e+03
 1.76421182e+197
 1.35145233e+173
 Inf
 6.60693479e+180
 3.28510092e+152
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327413e+03
 Inf
 1.02631750e+168
 1.24621105e+157
 8.12080694e+250
 Inf
 2.64421192e+155
 5.79430521e+100
 3.70487913e+178
 1.97309297e+206
 3.09647079e+143
 1.06362038e+204
 3.07175779e+260
 5.81405069e+202
 1.27993417e+214
 7.26604195e+253
 1.09452852e+187
 4.46736332e+199
 9.22328900e+259
 Inf
 Inf
 1.39342449e+269
 Inf
 1.15829447e+218
 Inf
 Inf
 Inf
 Inf
 2.32461036e+173
 1.74162279e+216
 1.06501897e+301
 Inf
 Inf
 Inf
 Inf
 2.31923023e+212
 1.72709166e+225
 1.45796699e+195
 4.76645577e+240
 1.03371782e+261
 1.63010737e+189
 2.53155238e+213
 1.61229107e+296
 Inf
 Inf
 5.53251035e+306
 1.73489170e+240
 2.53364044e+251
 1.92203241e+192
 1.25091864e+134
 9.56623094e+151
 2.32468832e+266
 Inf
 Inf
 3.25560479e+201
 6.02726408e+138
 1.73463179e+122
 8.33022030e+138
 7.04615099e+294
 Inf
 1.31142967e+214
 4.96813924e+175
 1.58113129e+264
 8.15323930e+238
 Inf
 Inf
 2.84505214e+259
 Inf
 7.93665261e+290
 5.27976643e+166
 1.47003842e+176
 4.56960367e+165
 4.22419920e+130
 3.20435555e+125
 3.80500615e+150
 1.03743970e+230
 2.13993838e+300
 Inf
 2.44615444e+115
 2.17382775e+85
 2.91277417e+126
 8.30118241e+104
 9.27462357e+93
 3.23972767e+94
 1.18929023e+90
 1.70679132e+94
 3.90801984e+95
 1.88292278e+115
 5.64857685e+137
 2.82697261e+128
 3.67140757e+160
 1.47580493e+141
 4.04715209e+136
 5.99869172e+114
 2.63177897e+105
 1.60592345e+172
 1.22286309e+124
 1.38621585e+92
 1.80142921e+109
 4.27188233e+170
 2.11639200e+136
 9.08329930e+102
 1.70092914e+150
 Inf
 4.92623697e+273
 9.66111245e+210
 Inf
 Inf
 1.36889336e+184
 1.47493658e+176
 2.41642256e+257
 1.49206635e+141
 2.46525571e+86
 3.75389050e+84
 2.43080024e+86
 1.04976369e+99
 6.44215248e+116
 1.84001649e+125
 2.16130443e+138
 1.81482175e+200
 Inf
 1.26545381e+183
 7.11053125e+99
 4.79748268e+100
 1.22867913e+104
 2.73598307e+79
 1.29989827e+85
 3.13723512e+134
 Inf
 Inf
 2.75180240e+230
 1.16660277e+231
 7.44711982e+194
 2.69947123e+302
 Inf
 9.82003169e+210
 9.95965617e+191
 Inf
 Inf
 2.17852962e+300
 Inf
 Inf
 2.51331526e+03
 2.51331483e+03
 2.51327438e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51333012e+03
 Inf
 7.32225090e+254
 2.51331327e+03
 Inf
 7.15431921e+84
 7.19351696e+70
 3.11457602e+125
 1.42461777e+195
 1.30264881e+140
 1.89004796e+207
 1.54331070e+294
 2.72951480e+250
 2.46081971e+188
 1.26198417e+108
 8.44617070e+105
 1.55009826e+147
 3.04270787e+138
 1.48792321e+160
 1.73518098e+165
 2.32443339e+130
 5.00565663e+146
 1.16795605e+179
 5.84454818e+186
 7.47116128e+152
 1.12084409e+153
 1.29408392e+140
 3.93413183e+144
 2.15082965e+178
 1.00602849e+100
 1.84685735e+106
 1.66865749e+153
 1.91262192e+114
 9.07337525e+139
 5.40380920e+264
 2.44517711e+286
 6.24394831e+163
 1.62822708e+129
 7.08233944e+157
 2.56659308e+226
 3.57109185e+133
 2.24251672e+126
 3.24510384e+152
 1.86915935e+123
 1.90092943e+114
 2.58477726e+193
 1.59695981e+164
 7.78384593e+85
 1.45849426e+109
 6.54145920e+178
 Inf
 Inf
 Inf
 Inf
 5.01408604e+175
 9.83334847e+109
 4.51064897e+107
 1.49364738e+137
 3.61910728e+120
 1.04663418e+117
 1.39823209e+125
 4.73396714e+154
 6.45340909e+214
 7.33421441e+142
 3.40230866e+148
 Inf
 Inf
 8.09551621e+135
 4.20386069e+99
 3.67286023e+107
 1.84779595e+123
 6.97555523e+105
 4.62708610e+120
 2.63582327e+105
 8.27845486e+138
 Inf
 1.83290444e+283
 1.11615881e+196
 4.11694945e+137
 2.25292214e+89
 9.54448737e+74
 4.28962813e+80
 1.05229835e+82
 4.13447257e+99
 5.14325012e+109
 1.73369117e+102
 6.93030212e+94
 1.51403185e+87
 1.71923408e+102
 9.54061717e+113
 2.00677210e+94
 4.16769974e+83
 2.68114703e+124
 5.74949493e+91
 2.23896896e+65
 3.94629732e+100
 2.89656304e+122
 9.99830400e+97
 4.16338238e+99
 9.32804557e+159
 Inf
 Inf
 6.26578123e+218
 7.33603666e+170
 5.73583312e+202
 Inf
 Inf
 Inf
 5.45281149e+236
 1.03527946e+212
 3.86648114e+279
 5.10688109e+146
 3.37685376e+169
 1.97493605e+236
 8.61512905e+196
 2.25258969e+183
 1.49605840e+185
 9.24675787e+160
 9.48943904e+210
 Inf
 Inf
 2.51327792e+03
 Inf
 4.67260593e+188
 1.22354628e+171
 4.69840106e+204
 1.45377255e+195
 8.59696490e+188
 3.70128050e+162
 3.01609393e+111
 6.37230618e+109
 8.41696830e+150
 1.04048640e+143
 5.69331386e+137
 1.33241777e+202
 4.44410647e+220
 7.02219124e+187
 7.80044923e+115
 1.47672628e+143
 3.69248843e+241
 2.17013980e+127
 2.23882520e+126
 Inf
 2.51327533e+03
 Inf
 2.14327545e+205
 2.15686308e+143
 5.60894296e+213
 1.46616865e+161
 2.66656997e+250
 Inf
 1.24040171e+166
 2.78425110e+109
 Inf
 2.51331982e+03
 Inf
 Inf
 Inf
 6.87252077e+270
 1.13077953e+146
 2.10684463e+136
 2.26504771e+173
 9.68384205e+248
 2.46046248e+188
 3.66997972e+181
 4.63552202e+211
 5.12384871e+142
 5.12095076e+191
 6.76284639e+197
 1.29625496e+126
 4.24007544e+138
 1.56672029e+148
 2.84793201e+151
 3.86622861e+159
 2.97685372e+141
 8.64151268e+131
 3.39237179e+148
 3.35454754e+197
 1.87718098e+220
 1.05747105e+221
 1.06608041e+301
 2.61457141e+150
 1.45777198e+102
 1.22508371e+134
 2.95500970e+157
 8.49621934e+196
 Inf
 Inf
 7.52269660e+194
 3.58173231e+149
 3.86672006e+173
 4.56829718e+231
 Inf
 1.58459810e+280
 2.79674319e+235
 1.24524887e+247
 9.99303768e+204
 4.41791424e+205
 1.14076747e+218
 2.72250893e+198
 7.73756017e+251
 1.68271898e+175
 2.45230273e+125
 4.19541025e+282
 Inf
 2.83463555e+202
 1.04444113e+131
 1.43583079e+152
 Inf
 2.17507111e+300
 9.88055387e+248
 1.20085862e+232
 2.49395696e+203
 1.98239332e+206
 6.71448924e+178
 1.17309620e+224
 4.03041734e+227
 4.37646708e+210
 Inf
 2.51329322e+03
 2.51338308e+03
 Inf
 2.51327925e+03
 Inf
 1.09559069e+282
 Inf
 Inf
 Inf
 Inf
 2.32022729e+212
 1.72709182e+225
 Inf
 Inf
 1.64374378e+292
 3.85150760e+268
 5.44791427e+306
 Inf
 Inf
 Inf
 1.07805841e+242
 2.26555059e+183
 1.98311668e+210
 Inf
 Inf
 Inf
 Inf
 2.51328143e+03
 2.51334997e+03
 2.51327432e+03
 2.51327911e+03
 2.51327533e+03
 2.51327444e+03
 2.51327413e+03
 2.51332024e+03
 2.51331813e+03
 Inf
 Inf
 2.51329548e+03
 Inf
 Inf
 Inf
 2.51327501e+03
 Inf
 Inf
 Inf
 Inf
 2.51329083e+03
 2.51328836e+03
 2.51327416e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 8.19913854e+238
 Inf
 Inf
 Inf
 Inf
 Inf
 3.44735748e+293
 Inf
 Inf
 4.37031335e+299
 Inf
 Inf
 2.51328029e+03
 Inf
 Inf
 2.51327484e+03
 Inf
 Inf
 Inf
 Inf
 1.05551932e+261
 1.02512753e+306
 Inf
 1.84046489e+298
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328836e+03
 2.51334779e+03
 2.51327507e+03
 Inf
 2.51342913e+03
 2.51330795e+03
 2.51335668e+03
 2.51348786e+03
 Inf
 Inf
 2.51332417e+03
 Inf
 Inf
 Inf
 Inf
 2.51334512e+03
 2.51328608e+03
 2.51327631e+03
 2.51329161e+03
 2.51328481e+03
 Inf
 3.91077263e+150
 1.65528241e+139
 1.67300437e+290
 Inf
 Inf
 2.51393392e+03
 2.51617812e+03
 2.51459275e+03
 2.51412724e+03
 2.51403096e+03
 2.51343307e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.36983663e+254
 7.50229384e+190
 4.80358524e+273
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51342140e+03
 2.51352422e+03
 2.51374474e+03
 2.51384960e+03
 2.51344766e+03
 2.51327722e+03
 Inf
 2.51328675e+03
 2.51332067e+03
 2.51329462e+03
 2.51335725e+03
 2.51346203e+03
 2.51331730e+03
 2.51335554e+03
 2.51368536e+03
 2.51330509e+03
 Inf
 2.51327417e+03
 2.51329491e+03
 2.51333106e+03
 2.51338638e+03
 Inf
 Inf
 Inf
 2.51327427e+03
 Inf
 Inf
 2.51327680e+03
 Inf
 3.96631567e+153
 4.05392835e+208
 Inf
 Inf
 Inf
 2.58198024e+251
 1.64385724e+146
 3.01398984e+189
 Inf
 7.96947775e+251
 1.49148074e+141
 2.39420249e+149
 1.70151061e+126
 8.31939646e+242
 6.32918495e+280
 2.03736080e+187
 1.83808132e+200
 3.62915749e+180
 1.08422365e+248
 Inf
 4.63500333e+165
 2.17688511e+152
 2.42144744e+188
 2.15238452e+143
 7.93845850e+121
 2.26002575e+119
 5.55350879e+125
 5.40927484e+123
 3.62706622e+140
 2.49764688e+145
 7.44635886e+132
 2.28301725e+161
 8.36582005e+258
 2.67115140e+218
 1.59943476e+135
 8.62873169e+131
 8.52589663e+141
 9.32747437e+162
 1.43574546e+156
 3.74420996e+111
 5.20955525e+129
 1.62290504e+172
 4.43117318e+134
 1.69834078e+134
 Inf
 7.09401148e+274
 1.60612059e+135
 2.14879166e+112
 4.29804055e+110
 5.21143505e+145
 1.65453744e+175
 6.54067102e+112
 2.29573161e+130
 3.36775031e+261
 4.66409947e+157
 5.86167851e+103
 4.67101745e+121
 3.68105156e+187
 1.14892104e+180
 8.52457568e+166
 7.27708367e+170
 3.48563171e+131
 4.44998608e+117
 5.58127787e+136
 1.02853256e+122
 4.50558771e+165
 1.26986286e+214
 6.47160259e+180
 6.51865283e+158
 1.45349137e+161
 1.07052815e+148
 1.09567471e+149
 7.62280493e+176
 4.42108436e+220
 2.95117565e+238
 1.91941444e+192
 8.56086616e+196
 2.05554999e+169
 9.36125625e+155
 4.50294346e+168
 Inf
 6.61297993e+214
 Inf
 Inf
 6.60135370e+158
 2.26089914e+255
 2.00592593e+236
 4.82710993e+154
 1.90564325e+151
 5.04979921e+127
 2.67469302e+112
 4.71132752e+154
 1.04128793e+143
 2.30032261e+96
 3.76028228e+122
 5.64570791e+202
 1.21057107e+166
 2.87869814e+101
 1.77304482e+80
 4.56845174e+120
 1.32120245e+184
 1.56678992e+170
 2.04629429e+169
 1.07211193e+148
 1.72057390e+130
 9.28570297e+169
 1.04932491e+268
 2.15305051e+300
 7.21989645e+303
 5.59084390e+264
 6.03885364e+221
 1.48291821e+176
 5.70845816e+130
 7.31245855e+146
 1.43561391e+195
 1.24093782e+178
 9.88704360e+204
 2.29764782e+173
 3.46225443e+146
 7.37046183e+165
 2.76751349e+172
 4.17764974e+135
 3.20820644e+125
 7.37520722e+168
 1.57790977e+264
 5.03084236e+269
 3.65704782e+180
 2.17603687e+196
 5.37263972e+306
 9.34263565e+216
 1.21271712e+166
 1.11288753e+155
 2.55216329e+164
 2.31612555e+177
 8.93927010e+206
 1.50179318e+185
 5.04393535e+185
 1.24992795e+157
 1.11561231e+107
 1.68397135e+117
 1.56098980e+116
 5.32901095e+110
 6.04300273e+96
 2.98418042e+102
 3.17549669e+125
 2.41169318e+111
 5.16994566e+126
 2.48808803e+145
 1.09844493e+136
 8.43979515e+196
 1.93635915e+174
 6.47069959e+179
 6.24440395e+280
 7.51936385e+190
 7.40425152e+183
 8.57997461e+188
 2.19023315e+129
 1.16841348e+91
 1.39968823e+100
 7.15838829e+117
 2.81185179e+128
 2.13953841e+178
 Inf
 1.47775345e+161
 1.41216172e+125
 3.83712572e+173
 4.46139128e+184
 2.47539565e+203
 8.22022255e+250
 Inf
 9.36042570e+271
 Inf
 Inf
 2.76538229e+302
 Inf
 Inf
 Inf
 9.28706025e+271
 1.62828248e+296
 Inf
 8.04421585e+257
 6.62414492e+201
 2.21539400e+199
 6.58598645e+181
 2.74688644e+144
 2.08950645e+124
 8.50677930e+141
 4.05060152e+207
 6.71572736e+178
 2.32908471e+130
 1.68876854e+225
 7.14012813e+303
 1.29491908e+151
 2.59571890e+170
 Inf
 1.18401087e+262
 4.13050400e+208
 3.46745980e+291
 2.54903526e+251
 7.22436068e+157
 6.06676059e+277
 1.03866379e+261
 7.76849189e+130
 7.90553253e+238
 Inf
 Inf
 Inf
 Inf
 9.48960500e+259
 2.97012496e+137
 5.24856769e+129
 4.13396507e+206
 6.15172296e+277
 1.16080084e+180
 1.67190237e+245
 9.82022099e+248
 1.25302039e+183
 9.70860168e+248
 Inf
 4.96154054e+223
 8.60174654e+196
 Inf
 Inf
 Inf
 1.45902205e+246
 6.19585955e+277
 2.27583732e+204
 5.67942412e+174
 3.69267399e+162
 7.97879701e+137
 Inf
 2.51332641e+03
 Inf
 8.73884574e+150
 8.35330173e+134
 7.34617495e+165
 1.23427647e+178
 2.41989836e+243
 8.13252604e+238
 6.15715626e+155
 2.30474459e+147
 8.38514727e+138
 1.72310451e+150
 Inf
 1.04881871e+276
 1.58386868e+277
 Inf
 Inf
 Inf
 7.09581481e+243
 Inf
 Inf
 Inf
 Inf
 2.75997587e+250
 1.47150938e+161
 7.91727373e+172
 2.53714954e+281
 1.36612809e+202
 2.48332098e+203
 Inf
 2.93481151e+307
 Inf
 Inf
 7.95645978e+251
 Inf
 Inf
 Inf
 3.56315366e+291
 2.14858353e+233
 2.58256145e+164
 3.41789901e+148
 1.95766329e+206
 1.72530238e+225
 6.55619663e+158
 2.73024110e+168
 2.55939332e+164
 1.62572156e+149
 2.72396571e+168
 4.93476212e+269
 9.18698850e+209
 4.00609400e+155
 3.97072694e+227
 3.18186252e+186
 2.70863239e+198
 Inf
 2.56086610e+251
 7.04632850e+187
 3.93954086e+262
 Inf
 Inf
 Inf
 Inf
 5.78232511e+285
 6.47165232e+228
 Inf
 2.51328213e+03
 1.22198090e+262
 1.58108648e+277
 2.31313388e+255
 Inf
 Inf
 Inf
 2.51329696e+03
 2.51332733e+03
 Inf
 2.04158782e+288
 6.75550680e+270
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.86930899e+171
 1.46982057e+215
 Inf
 4.96403842e+223
 2.08804760e+179
 7.94604954e+172
 4.68659043e+172
 2.74863971e+235
 5.48085235e+198
 7.64489241e+200
 Inf
 8.81971081e+288
 1.19178192e+224
 1.14406690e+218
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328587e+03
 2.51328213e+03
 Inf
 Inf
 2.51328932e+03
 2.51344355e+03
 2.51336073e+03
 2.51340152e+03
 2.51342140e+03
 2.51331094e+03
 2.51346203e+03
 2.51341988e+03
 2.51327540e+03
 2.51329322e+03
 2.51342913e+03
 2.51346550e+03
 2.51330723e+03
 2.51327474e+03
 2.51331648e+03
 2.51330943e+03
 Inf
 2.51329943e+03
 2.51330509e+03
 2.51330039e+03
 2.51332641e+03
 2.51329378e+03
 2.51327587e+03
 2.51327484e+03
 2.51327925e+03
 Inf
 2.51327417e+03
 Inf
 Inf
 2.51341837e+03
 2.51341016e+03
 2.51341611e+03
 2.51351146e+03
 2.51347966e+03
 2.51329083e+03
 Inf
 Inf
 2.51327460e+03
 2.51331897e+03
 2.51331366e+03
 2.51330580e+03
 2.51333394e+03
 2.51345435e+03
 2.51339590e+03
 2.51339178e+03
 2.51369691e+03
 2.51345520e+03
 2.51328675e+03
 2.51351633e+03
 2.51355813e+03
 2.51329057e+03
 2.51330103e+03
 2.51381835e+03
 2.51486094e+03
 2.51493992e+03
 2.51518946e+03
 2.51507556e+03
 2.51485342e+03
 2.51486811e+03
 2.51484840e+03
 2.51401887e+03
 2.51333154e+03
 2.51362997e+03
 2.51472136e+03
 2.51435352e+03
 2.51382719e+03
 2.51400518e+03
 2.51422541e+03
 2.51420979e+03
 2.51418321e+03
 2.51412356e+03
 2.51390833e+03
 2.51405709e+03
 2.51396331e+03
 2.51364678e+03
 2.51352422e+03
 2.51339870e+03
 2.51371125e+03
 2.51373261e+03
 2.51335956e+03
 2.50972703e+03
 2.51345945e+03
 2.51349341e+03
 2.51422152e+03
 2.51486848e+03
 2.51397825e+03
 2.51379802e+03
 2.51407657e+03
 2.51415877e+03
 2.51358633e+03
 2.51352026e+03
 2.51408371e+03
 2.51397321e+03
 2.51366273e+03
 2.51376820e+03
 2.51431873e+03
 2.51471661e+03
 2.51489370e+03
 2.51485580e+03
 2.49926047e+03
 2.51466920e+03
 2.51374747e+03
 2.51352522e+03
 2.51390991e+03
 2.51423904e+03
 2.51404307e+03
 2.51427847e+03
 2.51357097e+03
 2.51346376e+03
 2.51439317e+03
 2.51414750e+03
 2.51372717e+03
 2.51356344e+03
 2.51332551e+03
 2.51327438e+03
 2.51329405e+03
 2.51340872e+03
 2.51351731e+03
 2.51337408e+03
 2.51328608e+03
 2.51351633e+03
 2.51354246e+03
 2.51336015e+03
 2.51371785e+03
 2.51411443e+03
 2.51403782e+03
 2.51384959e+03
 2.51383615e+03
 2.51350664e+03
 2.51333790e+03
 2.51346549e+03
 2.51387244e+03
 2.51411991e+03
 2.51390043e+03
 2.51369951e+03
 2.51381541e+03
 2.51413643e+03
 2.51431267e+03
 2.51416997e+03
 2.51450964e+03
 2.51619843e+03
 2.51549809e+03
 2.51419653e+03
 2.51392108e+03
 2.51391863e+03
 2.51497045e+03
 2.51453180e+03
 2.51378940e+03
 2.51439737e+03
 2.51427841e+03
 2.51426667e+03
 2.51376403e+03
 2.51374345e+03
 2.51417375e+03
 2.51414184e+03
 2.51349715e+03
 2.03225719e+207
 2.75476733e+185
 3.78465072e+268
 1.03756668e+261
 4.69032442e+211
 2.14064478e+128
 2.57591446e+155
 6.82547288e+230
 1.28539311e+214
 1.24425801e+178
 1.43965233e+156
 1.06260889e+238
 Inf
 Inf
 2.09632067e+190
 4.47529896e+184
 Inf
 2.51327435e+03
 2.51331730e+03
 2.51327420e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329057e+03
 Inf
 Inf
 2.51329577e+03
 2.51328110e+03
 Inf
 Inf
 2.51328110e+03
 Inf
 3.97305340e+289
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327432e+03
 2.51327843e+03
 Inf
 Inf
 Inf
 2.51328342e+03
 2.51337661e+03
 2.51328093e+03
 2.51328249e+03
 Inf
 3.25164746e+284
 Inf
 Inf
 2.51329214e+03
 2.51334726e+03
 Inf
 2.51327911e+03
 2.51327768e+03
 Inf
 Inf
 2.51327792e+03
 2.51339383e+03
 2.51327883e+03
 Inf
 Inf
 2.51327968e+03
 2.51329880e+03
 2.51328362e+03
 2.51329975e+03
 2.51333492e+03
 2.51335107e+03
 2.50985045e+03
 2.51327540e+03
 2.51328381e+03
 2.51347075e+03
 2.51332417e+03
 2.51328932e+03
 2.51330371e+03
 2.51327479e+03
 Inf
 Inf
 Inf
 2.51336790e+03
 2.51343546e+03
 2.51330795e+03
 2.51327954e+03
 2.51333992e+03
 2.51328812e+03
 Inf
 2.51329548e+03
 Inf
 Inf
 Inf
 2.49612679e+243
 2.13742465e+233
 1.56356072e+308
 Inf
 2.26161190e+239
 7.13386087e+177
 2.01150946e+187
 1.18870417e+232
 5.71694882e+213
 1.67043837e+139
 1.88785446e+78
 3.13696615e+104
 Inf
 Inf
 1.51195621e+234
 Inf
 Inf
 3.14741683e+260
 Inf
 1.09452194e+238
 3.16268823e+284
 Inf
 2.74545424e+230
 1.82689030e+270
 Inf
 2.31313773e+167
 6.85496049e+182
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.03616942e+245
 Inf
 Inf
 Inf
 Inf
 2.51327563e+03
 2.51327448e+03
 2.51501213e+03
 2.52300775e+03
 2.48382958e+03
 2.51976224e+03
 2.51632909e+03
 2.51460653e+03
 2.51404659e+03
 2.51353528e+03
 2.51328720e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331171e+03
 2.51327640e+03
 Inf
 2.51330687e+03
 2.51331897e+03
 2.51329696e+03
 2.51327452e+03
 Inf
 2.51327412e+03
 2.51330759e+03
 2.51330303e+03
 Inf
 2.51327413e+03
 2.51333011e+03
 2.51328323e+03
 2.51327780e+03
 2.51327427e+03
 Inf
 Inf
 2.51327701e+03
 2.51336729e+03
 Inf
 2.51327780e+03
 2.51355917e+03
 2.51335611e+03
 2.51327690e+03
 2.51329032e+03
 2.51328342e+03
 2.51328860e+03
 2.51332825e+03
 2.51339800e+03
 2.51353022e+03
 2.51336668e+03
 2.51332825e+03
 2.51331288e+03
 2.51327563e+03
 Inf
 2.51329666e+03
 2.51344029e+03
 2.51328884e+03
 2.51327733e+03
 2.51338907e+03
 2.51343149e+03
 2.51333059e+03
 2.51328720e+03
 2.51338047e+03
 2.51345775e+03
 2.51344272e+03
 2.51348511e+03
 2.51334302e+03
 2.51328161e+03
 2.51327830e+03
 2.51336668e+03
 Inf
 1.78767491e+216
 2.51327420e+03
 Inf
 4.09511535e+237
 Inf
 Inf
 Inf
 Inf
 2.51327817e+03
 2.51329083e+03
 Inf
 Inf
 2.51329057e+03
 2.51335107e+03
 2.51330202e+03
 2.51328061e+03
 2.51330202e+03
 2.51329943e+03
 2.51327843e+03
 2.51328608e+03
 2.51350952e+03
 2.51345519e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330136e+03
 2.51335329e+03
 2.51333201e+03
 2.51330202e+03
 2.51329214e+03
 2.51327441e+03
 Inf
 2.51330440e+03
 Inf
 2.51327415e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.22628432e+284
 3.23489351e+166
 9.01170360e+199
 1.94402933e+194
 1.72143949e+225
 Inf
 2.51327441e+03
 2.51328884e+03
 2.51327680e+03
 Inf
 Inf
 4.72903376e+263
 2.51331939e+03
 2.51356130e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327587e+03
 2.51329187e+03
 2.51339315e+03
 2.51345099e+03
 2.51338506e+03
 2.51332871e+03
 2.51328323e+03
 2.51331939e+03
 2.51333941e+03
 Inf
 Inf
 Inf
 2.51335668e+03
 2.51339452e+03
 2.51332197e+03
 2.51330943e+03
 2.51328381e+03
 2.51328304e+03
 2.51327869e+03
 2.51331056e+03
 2.51334834e+03
 2.51333394e+03
 2.51339521e+03
 2.51335329e+03
 2.51328789e+03
 2.51329241e+03
 2.51338047e+03
 2.51329268e+03
 Inf
 Inf
 1.87513500e+274
 Inf
 Inf
 3.29876008e+248
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328342e+03
 2.51346899e+03
 2.51336309e+03
 2.51329295e+03
 Inf
 Inf
 7.44505064e+294
 Inf
 2.51328143e+03
 2.51327460e+03
 Inf
 Inf
 2.51327669e+03
 Inf
 2.51328231e+03
 2.51356665e+03
 2.51348969e+03
 2.51339110e+03
 2.51355705e+03
 2.51360095e+03
 2.51336729e+03
 2.51336490e+03
 2.51333890e+03
 2.51329032e+03
 2.51328812e+03
 2.51327413e+03
 2.51329696e+03
 2.51336488e+03
 2.51332918e+03
 2.51335725e+03
 2.51336488e+03
 2.51337853e+03
 Inf
 1.06972755e+276
 2.51327612e+03
 2.51327659e+03
 Inf
 2.51328014e+03
 2.51336973e+03
 2.51327417e+03
 Inf
 Inf
 2.51330136e+03
 2.51340294e+03
 2.51334618e+03
 2.51327507e+03
 Inf
 Inf
 Inf
 Inf
 2.51336190e+03
 2.51334197e+03
 Inf
 Inf
 2.51328982e+03
 2.51335611e+03
 2.51361125e+03
 2.51384358e+03
 2.51367396e+03
 2.51339178e+03
 2.51335899e+03
 2.51340152e+03
 2.51362525e+03
 2.51337789e+03
 2.51331813e+03
 2.51361938e+03
 2.51351437e+03
 2.51356988e+03
 2.51338506e+03
 2.51341313e+03
 2.51382866e+03
 2.51384227e+03
 2.51346636e+03
 2.51354243e+03
 2.51358633e+03
 2.51338506e+03
 2.51337472e+03
 2.51329849e+03
 2.51338906e+03
 2.51340945e+03
 2.51342293e+03
 2.51374202e+03
 2.51379803e+03
 2.51367522e+03
 2.51372717e+03
 2.51348329e+03
 2.51349619e+03
 2.51363474e+03
 2.51333249e+03
 2.51336911e+03
 2.51337535e+03
 2.51327495e+03
 Inf
 2.51327465e+03
 2.51334779e+03
 Inf
 Inf
 2.51327422e+03
 Inf
 Inf
 Inf
 Inf
 2.51333790e+03
 2.51349903e+03
 2.51328720e+03
 2.51327650e+03
 2.51336190e+03
 2.51338047e+03
 2.51333059e+03
 2.51333590e+03
 2.51337471e+03
 2.51336132e+03
 2.51345099e+03
 2.51335668e+03
 2.51333346e+03
 2.51348238e+03
 2.51342293e+03
 2.51339591e+03
 2.51345099e+03
 2.51340152e+03
 2.51334250e+03
 2.51329241e+03
 Inf
 Inf
 Inf
 2.51327631e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327756e+03
 2.51327429e+03
 Inf
 2.51401887e+03
 2.51429257e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.00867794e+249
 9.03982732e+206
 2.04435558e+180
 1.22706373e+142
 2.82881701e+224
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327507e+03
 Inf
 Inf
 Inf
 Inf
 2.51327578e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327412e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.46851177e+246
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328860e+03
 2.51327415e+03
 Inf
 Inf
 2.51327456e+03
 2.51331327e+03
 Inf
 Inf
 Inf
 Inf
 2.51328267e+03
 2.51331366e+03
 2.51327856e+03
 Inf
 2.51328323e+03
 2.51333059e+03
 2.51329880e+03
 2.51328836e+03
 2.51331486e+03
 2.51337534e+03
 2.51333249e+03
 2.51331366e+03
 2.51330371e+03
 2.51333690e+03
 2.51329757e+03
 2.51328461e+03
 2.51334779e+03
 2.51347252e+03
 2.51332918e+03
 2.51328077e+03
 Inf
 Inf
 2.51328742e+03
 2.51331855e+03
 2.51340799e+03
 2.51349063e+03
 2.51328286e+03
 Inf
 Inf
 2.51327563e+03
 Inf
 Inf
 2.51327419e+03
 Inf
 Inf
 2.51327444e+03
 2.51330169e+03
 Inf
 Inf
 Inf
 Inf
 1.35940103e+285
 5.41515128e+301
 Inf
 2.51327578e+03
 Inf
 2.51329187e+03
 2.51330509e+03
 2.51327843e+03
 2.51327897e+03
 Inf
 Inf
 Inf
 2.51328362e+03
 2.51330303e+03
 Inf
 Inf
 2.51329849e+03
 2.51327413e+03
 Inf
 Inf
 2.51328481e+03
 2.51329322e+03
 2.51329757e+03
 2.51339110e+03
 2.51334779e+03
 2.51327711e+03
 Inf
 2.51329007e+03
 2.51342524e+03
 2.51328982e+03
 Inf
 2.51328652e+03
 2.51330943e+03
 2.51328908e+03
 2.51330723e+03
 2.51334618e+03
 2.51329268e+03
 Inf
 2.51327490e+03
 2.51331566e+03
 2.51330509e+03
 2.51331526e+03
 2.51329378e+03
 2.51329519e+03
 2.51329057e+03
 Inf
 Inf
 Inf
 2.51327780e+03
 Inf
 4.15566549e+276
 1.06462829e+221
 1.06214594e+268
 Inf
 2.92450370e+224
 1.99699918e+210
 2.28395356e+254
 7.70089236e+200
 1.09799614e+199
 1.07787506e+204
 Inf
 Inf
 Inf
 4.14840231e+208
 9.24084821e+216
 Inf
 2.51342679e+03
 2.51353529e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.93088463e+289
 Inf
 2.43208104e+252
 4.15257184e+229
 1.93616354e+305
 7.39694998e+255
 Inf
 Inf
 Inf
 8.70297820e+196
 5.86299352e+186
 1.00940003e+306
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.85631909e+140
 7.64587719e+145
 8.55564426e+141
 1.94694318e+166
 5.15393237e+191
 8.80854082e+207
 4.36379774e+210
 1.50925296e+163
 9.49511149e+210
 Inf
 2.78670252e+302
 7.11373952e+224
 5.40810744e+306
 5.83645176e+202
 8.98299579e+206
 4.77760511e+240
 1.72273122e+240
 1.38141063e+269
 6.50356855e+226
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.85321573e+259
 Inf
 Inf
 Inf
 Inf
 4.26613629e+246
 1.06657376e+268
 Inf
 7.76379725e+215
 7.92104579e+257
 Inf
 1.96530546e+305
 3.19019655e+284
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.03593463e+206
 7.50706604e+168
 Inf
 Inf
 Inf
 5.48827401e+236
 6.71018974e+270
 8.18222261e+232
 5.21076632e+191
 9.18727121e+143
 3.64672701e+140
 1.00849765e+159
 6.49263263e+158
 4.31835824e+210
 1.84533350e+200
 8.59555312e+150
 3.27526207e+139
 1.91283768e+174
 9.87875028e+204
 1.94556941e+194
 4.97006731e+269
 1.06101804e+230
 5.08797064e+146
 1.06731266e+148
 7.36840053e+190
 Inf
 Inf
 1.36694844e+241
 3.41857155e+295
 Inf
 Inf
 2.80108617e+302
 7.34939833e+253
 Inf
 Inf
 Inf
 8.84096073e+288
 6.58974069e+158
 3.18564402e+166
 3.65082264e+192
 5.86741560e+160
 3.14596339e+186
 1.44026245e+219
 Inf
 Inf
 Inf
 2.51331813e+03
 2.51330615e+03
 2.51327830e+03
 2.51338772e+03
 2.51380089e+03
 2.51347251e+03
 2.51332506e+03
 2.51372985e+03
 2.51395675e+03
 2.51362879e+03
 2.51367394e+03
 2.51376543e+03
 2.51347966e+03
 2.51338047e+03
 2.51357205e+03
 2.51381688e+03
 2.51359641e+03
 2.51349063e+03
 2.51398998e+03
 2.51372316e+03
 2.51333249e+03
 2.51337789e+03
 2.51354865e+03
 2.51340437e+03
 Inf
 Inf
 Inf
 Inf
 2.51335783e+03
 2.51354451e+03
 2.51327587e+03
 Inf
 2.51327548e+03
 2.51334565e+03
 2.51339940e+03
 2.51350092e+03
 2.51343466e+03
 2.51332871e+03
 2.51330007e+03
 2.51337096e+03
 2.51343228e+03
 2.51331327e+03
 2.51327640e+03
 2.51336015e+03
 2.51345775e+03
 2.51344848e+03
 2.51340654e+03
 2.51341611e+03
 2.51349528e+03
 2.51349721e+03
 2.51355600e+03
 2.51365287e+03
 2.51344436e+03
 2.51332110e+03
 2.51330832e+03
 2.51328362e+03
 2.51330269e+03
 2.51331486e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51504638e+03
 2.52099072e+03
 2.52021343e+03
 2.51796743e+03
 2.51570754e+03
 2.51410171e+03
 2.51357532e+03
 2.51346812e+03
 2.51333059e+03
 2.51341536e+03
 2.51360895e+03
 2.51328608e+03
 1.70022327e+296
 2.31761155e+255
 Inf
 Inf
 1.96378099e+305
 Inf
 2.51327441e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51332733e+03
 2.51328029e+03
 2.51327424e+03
 2.51328587e+03
 Inf
 2.51332779e+03
 2.51338374e+03
 2.51327441e+03
 2.51328587e+03
 2.51328523e+03
 Inf
 2.51327495e+03
 Inf
 Inf
 Inf
 Inf
 2.51438059e+03
 2.51481627e+03
 2.51330687e+03
 Inf
 Inf
 2.51334618e+03
 2.51328342e+03
 2.51327479e+03
 Inf
 4.79453173e+211
 Inf
 Inf
 Inf
 2.51328836e+03
 2.51334146e+03
 2.51331446e+03
 2.51337283e+03
 2.51338506e+03
 Inf
 2.51328675e+03
 2.51355074e+03
 2.51351144e+03
 2.51331018e+03
 2.51327869e+03
 Inf
 Inf
 2.51333941e+03
 2.51356558e+03
 2.51330795e+03
 2.51327417e+03
 2.51330269e+03
 2.51117457e+03
 2.51330236e+03
 2.51332110e+03
 2.51352124e+03
 2.51352629e+03
 2.51343706e+03
 2.51336668e+03
 Inf
 Inf
 2.51338907e+03
 2.51327427e+03
 Inf
 Inf
 Inf
 2.51337918e+03
 2.51364194e+03
 2.51348786e+03
 2.51344273e+03
 2.51329666e+03
 Inf
 2.51328908e+03
 2.51341018e+03
 2.51327415e+03
 Inf
 Inf
 Inf
 Inf
 2.51330007e+03
 2.51332733e+03
 2.51341313e+03
 2.51361938e+03
 2.51344932e+03
 2.51343707e+03
 2.51355074e+03
 2.51332197e+03
 2.51327722e+03
 2.51330371e+03
 2.51339042e+03
 2.51349248e+03
 2.51337035e+03
 2.51350760e+03
 2.51341091e+03
 2.51327983e+03
 2.51328523e+03
 2.51329636e+03
 2.51329577e+03
 2.51334942e+03
 2.51328652e+03
 Inf
 2.51332024e+03
 2.51343706e+03
 2.51329322e+03
 2.51328932e+03
 2.51331855e+03
 2.51331566e+03
 2.51334146e+03
 2.51330544e+03
 2.51334354e+03
 2.51344029e+03
 2.51351535e+03
 2.51359528e+03
 2.51357096e+03
 2.51339521e+03
 2.51334997e+03
 2.51327441e+03
 Inf
 2.51334726e+03
 2.51373795e+03
 2.51368916e+03
 2.51330795e+03
 2.51328860e+03
 2.51361472e+03
 2.51379514e+03
 2.51351146e+03
 2.51340582e+03
 2.51335498e+03
 2.51327587e+03
 2.51328860e+03
 2.51330981e+03
 2.51328231e+03
 2.51332372e+03
 2.51340654e+03
 2.51357423e+03
 2.51340509e+03
 2.51329607e+03
 2.51338308e+03
 2.51346376e+03
 2.51328544e+03
 2.51329083e+03
 2.51341611e+03
 2.51360780e+03
 2.51374885e+03
 2.51346031e+03
 2.51341462e+03
 2.51368154e+03
 2.51367260e+03
 2.51349621e+03
 2.51356665e+03
 2.51347697e+03
 2.51351049e+03
 2.51361938e+03
 2.51353527e+03
 2.51428647e+03
 2.51432516e+03
 2.51360665e+03
 2.51363230e+03
 2.51341536e+03
 2.51339453e+03
 2.51349155e+03
 2.51363474e+03
 2.51359415e+03
 2.51339940e+03
 2.51355389e+03
 2.51372184e+03
 2.51380090e+03
 2.51368027e+03
 2.51337661e+03
 2.51356665e+03
 2.51368920e+03
 2.51363235e+03
 2.51394202e+03
 2.51393782e+03
 2.51388170e+03
 2.51375710e+03
 2.51381541e+03
 2.51401202e+03
 2.51374474e+03
 2.51344849e+03
 2.51335107e+03
 2.51338505e+03
 2.51377946e+03
 2.51399844e+03
 2.51373930e+03
 2.51368665e+03
 2.51362761e+03
 2.51356130e+03
 2.51349809e+03
 2.51359528e+03
 2.51371786e+03
 2.51364073e+03
 2.51353224e+03
 2.51352926e+03
 2.51366645e+03
 2.51374885e+03
 2.51361241e+03
 2.51359869e+03
 2.51427649e+03
 2.51410528e+03
 2.51333590e+03
 2.51330723e+03
 2.51336249e+03
 2.51334198e+03
 2.51356130e+03
 2.51341761e+03
 2.51327604e+03
 2.51362761e+03
 2.51403441e+03
 2.51363713e+03
 2.51362650e+03
 2.51359191e+03
 2.51342217e+03
 2.51343545e+03
 2.51344437e+03
 2.51343387e+03
 2.51361589e+03
 2.51366896e+03
 2.51362879e+03
 2.51354657e+03
 2.51374201e+03
 2.51380524e+03
 2.51368281e+03
 2.51370730e+03
 2.51355179e+03
 2.51358300e+03
 2.51373120e+03
 2.51376823e+03
 2.51378941e+03
 2.51414198e+03
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