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 1.62440537e+46
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 1.34354220e+51
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 1.75373810e+37
 3.25337225e+39
 3.97032102e+45
 6.07585330e+38
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 3.65229639e+35
 2.49934346e+38
 8.59962442e+34
 1.54462734e+31
 5.43832504e+30
 2.23014836e+34
 4.13936203e+37
 2.67845466e+31
 3.51033938e+28
 1.09379519e+30
 7.28148129e+31
 2.06439378e+32
 1.95634195e+34
 1.13071517e+37
 7.43502396e+37
 2.39327945e+40
 8.27973185e+44
 2.40972091e+42
 3.12984558e+38
 4.67289424e+39
 1.11229656e+37
 1.15340988e+36
 2.56208133e+38
 3.00842513e+93
 2.51386477e+03
 2.51418712e+03
 2.51374337e+03
 2.51370604e+03
 2.51409809e+03
 2.51387243e+03
 2.51361357e+03
 2.51354970e+03
 2.51352621e+03
 2.51370601e+03
 2.51370885e+03
 2.51344436e+03
 2.51351145e+03
 2.51368791e+03
 2.51370735e+03
 2.51356023e+03
 2.51348878e+03
 2.51336428e+03
 2.51327456e+03
 2.51327415e+03
 Inf
 2.51327604e+03
 2.51327438e+03
 Inf
 Inf
 Inf
 8.37280861e+250
 Inf
 2.51343787e+03
 2.51337598e+03
 Inf
 2.80252202e+198
 Inf
 2.51338177e+03
 2.51339941e+03
 2.51352223e+03
 2.51353733e+03
 2.51347518e+03
 2.51330687e+03
 Inf
 Inf
 2.51331813e+03
 2.51327983e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.41493117e+303
 2.51329577e+03
 2.51328093e+03
 Inf
 Inf
 Inf
 4.39530051e+196
 5.13462642e+193
 3.39701308e+272
 Inf
 Inf
 6.84090772e+265
 7.28815913e+292
 1.57409528e+280
 4.77148025e+204
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328195e+03
 2.51343149e+03
 Inf
 Inf
 2.51352922e+03
 2.51340010e+03
 Inf
 Inf
 Inf
 2.51329943e+03
 2.51333012e+03
 2.51327733e+03
 2.51329241e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327548e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.57925683e+213
 2.51358724e+221
 Inf
 5.25463861e+191
 3.99673817e+155
 2.00137585e+187
 1.77319585e+231
 1.48565798e+215
 1.45601112e+195
 Inf
 Inf
 7.48084686e+254
 4.04529515e+276
 Inf
 7.85961357e+296
 1.04735227e+276
 8.36792577e+222
 2.95226246e+238
 Inf
 5.62906520e+264
 Inf
 2.51327548e+03
 1.62759990e+280
 2.00928679e+210
 2.51327817e+03
 2.51344601e+03
 2.51355600e+03
 2.51402059e+03
 2.51402497e+03
 2.51344932e+03
 2.51331939e+03
 2.51352721e+03
 2.51383312e+03
 2.51398161e+03
 2.51395997e+03
 2.51330544e+03
 2.51331526e+03
 2.51328982e+03
 Inf
 2.51331566e+03
 2.51354244e+03
 2.51422540e+03
 2.50199695e+03
 2.51362407e+03
 2.51332284e+03
 2.51329607e+03
 2.51353123e+03
 2.51355708e+03
 2.51341988e+03
 2.51339178e+03
 2.51339660e+03
 2.51336073e+03
 2.51350187e+03
 2.51365779e+03
 2.51342293e+03
 2.51327540e+03
 Inf
 Inf
 Inf
 2.51334459e+03
 2.51333249e+03
 7.40687608e+274
 Inf
 Inf
 9.52799815e+162
 7.35155891e+252
 2.45259095e+243
 Inf
 Inf
 Inf
 2.37312797e+256
 Inf
 Inf
 Inf
 Inf
 1.10592281e+248
 2.86952536e+195
 9.39976904e+155
 2.96316364e+242
 Inf
 Inf
 Inf
 1.82698671e+298
 2.51327587e+03
 Inf
 6.96629404e+197
 Inf
 Inf
 Inf
 1.13104530e+248
 1.89133520e+220
 2.95100078e+238
 3.76918803e+200
 2.44565558e+188
 1.11333369e+158
 2.48938047e+142
 2.31457199e+130
 4.03618996e+136
 4.52790723e+165
 5.64172224e+174
 2.21171727e+156
 1.62467534e+146
 7.11653288e+157
 2.76261297e+172
 3.36632076e+219
 1.34022460e+241
 2.33883810e+162
 2.98218198e+89
 8.41725091e+65
 1.01609456e+61
 2.59549254e+56
 3.40099184e+61
 1.94809239e+100
 1.38965114e+125
 7.53362655e+114
 7.27375883e+146
 6.07387712e+155
 2.10586171e+182
 3.99119033e+155
 2.10720867e+137
 1.69961775e+134
 2.57205330e+140
 7.25042189e+154
 2.10691839e+137
 1.03718831e+143
 2.03334214e+169
 Inf
 3.77995605e+304
 1.41180537e+167
 1.86451467e+220
 7.23008385e+254
 9.83271384e+248
 2.19769312e+196
 2.05536671e+169
 8.80404837e+249
 3.47794993e+261
 9.17964871e+209
 1.27891344e+273
 1.06985824e+242
 Inf
 7.33150500e+292
 1.14680169e+213
 Inf
 Inf
 2.05730337e+244
 6.19409974e+277
 Inf
 2.51351049e+03
 2.51364557e+03
 2.51336608e+03
 Inf
 Inf
 5.54786260e+306
 Inf
 Inf
 3.92972280e+268
 5.41672720e+236
 Inf
 7.40428942e+254
 9.29859992e+216
 3.69574926e+304
 1.57953023e+308
 1.56715299e+294
 6.47651809e+228
 1.78644621e+231
 1.68874024e+245
 6.48598823e+226
 5.69535651e+174
 9.29433219e+205
 Inf
 Inf
 7.24357078e+274
 6.06381384e+138
 3.86561383e+153
 2.31022004e+177
 1.17625207e+179
 4.36112096e+170
 4.41345311e+176
 1.98023512e+210
 4.20649582e+246
 2.69689322e+275
 1.11996243e+276
 Inf
 1.07660658e+221
 4.64716334e+157
 2.72901918e+185
 1.14849338e+180
 2.32340298e+177
 1.69657469e+197
 1.92217291e+305
 2.51328045e+03
 2.51346031e+03
 2.51349156e+03
 2.51337853e+03
 2.51334043e+03
 2.51328675e+03
 2.51333890e+03
 2.51331056e+03
 Inf
 2.51327540e+03
 2.51329607e+03
 2.51335385e+03
 2.51345945e+03
 2.51327659e+03
 Inf
 Inf
 2.51330869e+03
 2.51337283e+03
 2.51332372e+03
 2.51331486e+03
 2.51327441e+03
 2.51328323e+03
 2.51327527e+03
 Inf
 Inf
 Inf
 2.51327897e+03
 2.51333012e+03
 2.51335052e+03
 2.51346203e+03
 2.51337096e+03
 2.51341611e+03
 2.51366149e+03
 2.51338638e+03
 2.51332733e+03
 2.51333541e+03
 2.51329378e+03
 2.51332965e+03
 2.51328286e+03
 Inf
 Inf
 2.51331288e+03
 2.51327432e+03
 Inf
 Inf
 2.51378088e+03
 2.50474993e+03
 Inf
 2.51327983e+03
 2.51331982e+03
 2.51327722e+03
 6.35052238e+167
 2.17772814e+152
 Inf
 2.51328029e+03
 2.51327843e+03
 Inf
 Inf
 2.51333346e+03
 2.51339940e+03
 2.51338638e+03
 2.51327805e+03
 2.51327415e+03
 Inf
 Inf
 Inf
 Inf
 2.51328231e+03
 2.51331288e+03
 2.51334942e+03
 2.51342064e+03
 2.51330236e+03
 2.51328544e+03
 2.51334726e+03
 2.51331133e+03
 Inf
 Inf
 Inf
 Inf
 2.51328077e+03
 2.51331486e+03
 2.51327452e+03
 Inf
 Inf
 Inf
 2.51327414e+03
 Inf
 1.74955502e+197
 6.15684986e+239
 Inf
 2.51328362e+03
 2.51327733e+03
 2.51336488e+03
 2.51328286e+03
 Inf
 2.51335107e+03
 Inf
 Inf
 Inf
 1.83771444e+231
 2.28049983e+122
 5.58983368e+136
 6.83789204e+243
 1.60061041e+159
 3.14648716e+118
 1.08635592e+149
 3.77853128e+178
 5.85467617e+160
 2.57715145e+150
 1.17005047e+182
 2.36143845e+160
 9.26141929e+205
 2.51907655e+251
 1.71613467e+153
 1.21317497e+129
 1.50018974e+118
 1.81776467e+109
 8.96497579e+133
 5.35197511e+110
 1.68608654e+117
 9.66899852e+125
 1.26495541e+151
 4.25057771e+282
 4.52240500e+184
 1.92283146e+97
 1.24583395e+84
 1.24234630e+111
 2.82173781e+108
 3.98973079e+103
 7.12718404e+97
 4.78847447e+115
 2.34075402e+146
 2.58440351e+133
 7.51863977e+200
 8.07671919e+238
 9.60857172e+129
 1.61430086e+146
 6.57938035e+173
 2.40137695e+163
 2.10962303e+217
 1.67229685e+168
 3.70820667e+160
 1.09674479e+196
 1.64761368e+172
 2.11446165e+217
 1.55693247e+280
 2.02817035e+244
 1.47097282e+162
 8.37072584e+134
 3.62314838e+181
 1.61307665e+189
 1.03462743e+235
 Inf
 Inf
 1.07780120e+282
 5.80952588e+189
 2.28086913e+255
 4.83486908e+154
 2.30975772e+162
 5.71534047e+137
 1.49251034e+110
 6.32040998e+151
 2.31379130e+148
 2.58545846e+133
 9.45954619e+159
 1.45395915e+162
 6.30773638e+102
 2.95382071e+99
 3.88470095e+126
 7.30325105e+146
 5.21617935e+112
 6.07913718e+106
 2.28145513e+148
 3.28003413e+174
 5.16330527e+191
 2.32954718e+148
 1.89292138e+144
 1.42975521e+156
 9.86758652e+163
 4.09819272e+137
 1.03470528e+106
 4.80361673e+115
 1.43492086e+161
 4.06264258e+208
 3.58246634e+142
 1.30872293e+95
 2.36960346e+100
 5.18624190e+129
 1.73228586e+142
 6.62726366e+178
 3.08551005e+143
 7.25624862e+154
 3.27198556e+293
 4.06246322e+227
 Inf
 Inf
 2.51328077e+03
 Inf
 2.51329135e+03
 2.51329268e+03
 Inf
 2.51330236e+03
 Inf
 9.81916460e+151
 5.11177448e+203
 Inf
 Inf
 Inf
 1.05981428e+143
 6.41975518e+109
 4.59281803e+204
 Inf
 Inf
 Inf
 3.69321229e+145
 3.87237430e+153
 1.30784993e+285
 Inf
 Inf
 Inf
 3.52961030e+291
 1.79925878e+231
 Inf
 1.19961543e+224
 6.20045306e+218
 2.51328195e+03
 2.51342370e+03
 2.51328461e+03
 9.33418609e+206
 7.48710745e+148
 2.85286897e+127
 2.55135407e+131
 3.18075032e+248
 2.72836673e+191
 6.18582969e+163
 4.62333867e+139
 5.04943022e+128
 1.39501463e+191
 1.61593932e+189
 1.36605861e+193
 2.97076065e+132
 4.10670250e+106
 4.16198397e+130
 6.36726585e+151
 4.26685671e+138
 6.12440737e+115
 5.75868334e+160
 1.63703149e+172
 1.59696662e+128
 3.69095432e+187
 1.81069460e+270
 Inf
 2.01429984e+288
 1.93450664e+151
 2.30253969e+147
 7.81513282e+136
 4.66814897e+120
 8.29011559e+134
 2.53854927e+164
 Inf
 Inf
 3.73241258e+192
 2.70808496e+191
 1.33698252e+177
 1.11135588e+158
 5.62556627e+169
 5.77555942e+171
 3.61100660e+124
 2.81464356e+110
 6.26665215e+143
 2.17178254e+138
 3.16898029e+166
 7.27639163e+170
 6.10436351e+155
 9.89231803e+193
 5.90484924e+162
 7.89619427e+219
 1.35265894e+263
 8.89473392e+207
 4.77847857e+240
 6.19494121e+167
 7.36934702e+194
 5.75216044e+189
 1.50361561e+160
 1.26797828e+214
 1.43611920e+222
 2.89483476e+214
 1.88268044e+220
 8.57258450e+166
 2.97811060e+157
 3.28756970e+174
 7.66724263e+176
 9.39886667e+162
 1.17276072e+179
 Inf
 6.79678671e+270
 5.71885123e+174
 1.07600020e+165
 2.84639170e+307
 Inf
 Inf
 Inf
 6.25673703e+277
 2.50581445e+203
 1.28852196e+130
 7.23083902e+147
 1.57936108e+296
 2.45444919e+286
 2.71067884e+275
 Inf
 2.51334833e+03
 2.51329491e+03
 3.00316769e+224
 1.99752413e+236
 7.25584864e+294
 Inf
 Inf
 2.95420673e+307
 6.48362843e+228
 3.26794698e+248
 Inf
 Inf
 4.27011176e+246
 9.82849633e+171
 3.39612283e+169
 4.81571265e+223
 8.60177677e+196
 1.19110549e+232
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.91334286e+273
 1.39877368e+303
 1.61458070e+264
 1.09556757e+187
 4.10907055e+229
 Inf
 Inf
 5.79558080e+213
 1.74349125e+145
 2.83154414e+128
 1.19143930e+166
 1.41796109e+246
 1.99062025e+288
 7.29542552e+254
 5.77393065e+137
 3.76601628e+178
 2.68673097e+302
 7.07552881e+187
 1.96674145e+288
 Inf
 2.51327495e+03
 2.51347608e+03
 2.51342216e+03
 2.51337918e+03
 2.51328587e+03
 2.51332110e+03
 2.51340799e+03
 2.51330202e+03
 Inf
 3.22766450e+284
 Inf
 Inf
 Inf
 Inf
 Inf
 9.82850246e+278
 Inf
 Inf
 2.51399673e+03
 2.51697144e+03
 2.51481118e+03
 2.51331566e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.93000536e+307
 Inf
 Inf
 2.51327495e+03
 Inf
 5.02184937e+217
 9.68147075e+278
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.58250114e+308
 Inf
 2.51328652e+03
 Inf
 9.05882288e+249
 3.18953805e+186
 1.12172105e+146
 5.79844459e+186
 1.08587818e+248
 2.57366077e+176
 1.93564344e+194
 1.33758559e+177
 4.93990482e+175
 3.36704843e+295
 Inf
 Inf
 4.20157052e+164
 4.29165188e+196
 Inf
 2.51332733e+03
 2.51327869e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.64387102e+264
 4.95945384e+217
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328195e+03
 2.51339383e+03
 2.51330202e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329818e+03
 2.51330071e+03
 Inf
 Inf
 Inf
 2.11068422e+179
 5.19991271e+39
 7.92280268e+15
 6.33276896e+18
 2.31348567e+91
 1.39625845e+195
 1.41854073e+125
 1.30952041e+120
 1.66849891e+86
 1.84106812e+92
 6.74422738e+187
 1.17957308e+182
 1.71089393e+186
 1.08574077e+248
 8.58772952e+242
 5.42630236e+306
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51332328e+03
 2.51346117e+03
 2.51353022e+03
 Inf
 8.05189946e+296
 Inf
 1.06109821e+287
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.92730758e+298
 2.61404360e+258
 1.72771980e+290
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.40500840e+303
 Inf
 Inf
 2.51328789e+03
 Inf
 8.33010225e+232
 4.26331840e+225
 1.33403280e+285
 7.72246751e+200
 Inf
 Inf
 Inf
 Inf
 4.01178516e+262
 2.48487397e+271
 1.83758394e+270
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327495e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.48414626e+222
 9.33648647e+185
 Inf
 Inf
 Inf
 2.51327435e+03
 Inf
 Inf
 Inf
 2.51327452e+03
 2.51330039e+03
 Inf
 1.97105078e+305
 Inf
 Inf
 Inf
 Inf
 1.02713970e+168
 2.55912027e+164
 Inf
 Inf
 Inf
 Inf
 Inf
 3.47593983e+272
 Inf
 2.51328982e+03
 2.51327722e+03
 Inf
 Inf
 2.51330580e+03
 Inf
 2.51327435e+03
 2.51337918e+03
 2.51329787e+03
 Inf
 Inf
 Inf
 Inf
 2.51337283e+03
 2.51339522e+03
 2.51332328e+03
 2.51329666e+03
 2.51329322e+03
 2.51327939e+03
 2.51328249e+03
 2.51330869e+03
 2.51329378e+03
 2.51327587e+03
 2.51327413e+03
 2.51327424e+03
 2.51327514e+03
 Inf
 2.51327441e+03
 2.51332779e+03
 2.51327733e+03
 Inf
 2.51328523e+03
 Inf
 Inf
 2.51327452e+03
 2.51329295e+03
 2.51337918e+03
 2.51327540e+03
 Inf
 2.51333890e+03
 2.51327983e+03
 Inf
 2.51331897e+03
 2.51335162e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327621e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327897e+03
 Inf
 Inf
 2.51327722e+03
 2.51331939e+03
 2.51339315e+03
 2.51401031e+03
 2.51391941e+03
 2.51328381e+03
 2.51336132e+03
 2.51342525e+03
 2.51328742e+03
 2.51328441e+03
 2.51334618e+03
 2.51335218e+03
 2.51337598e+03
 2.51336368e+03
 2.51339042e+03
 2.51352821e+03
 2.51333890e+03
 2.51335611e+03
 2.51354970e+03
 2.51381250e+03
 2.51343948e+03
 2.51327595e+03
 2.51367020e+03
 2.51400013e+03
 2.51399563e+03
 2.51384959e+03
 2.51352323e+03
 2.51347697e+03
 2.51361125e+03
 2.51336428e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.97494807e+194
 6.95853197e+274
 Inf
 4.91934340e+223
 2.40223648e+252
 2.51329241e+03
 2.51327444e+03
 6.69683703e+179
 Inf
 Inf
 Inf
 3.39777503e+293
 1.57757504e+308
 6.85038621e+197
 2.67238233e+275
 Inf
 Inf
 Inf
 Inf
 Inf
 2.52619169e+271
 Inf
 Inf
 2.51331689e+03
 2.51333059e+03
 2.51335554e+03
 2.51336973e+03
 2.51339800e+03
 2.51335725e+03
 2.51327578e+03
 2.51327424e+03
 Inf
 Inf
 Inf
 Inf
 2.51327444e+03
 2.51329726e+03
 2.51335385e+03
 2.51334043e+03
 2.51327520e+03
 2.51327621e+03
 Inf
 Inf
 7.32458864e+254
 2.00437523e+210
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327514e+03
 Inf
 Inf
 Inf
 3.31056602e+248
 1.06677133e+242
 1.08438733e+204
 2.53846098e+213
 7.01548463e+187
 2.74522986e+168
 2.26114906e+254
 Inf
 7.33931069e+294
 Inf
 Inf
 Inf
 1.84074412e+283
 7.30547008e+294
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.96616800e+245
 Inf
 Inf
 Inf
 2.01752398e+288
 5.58224037e+264
 4.04956036e+216
 Inf
 2.51328342e+03
 Inf
 Inf
 Inf
 Inf
 2.16038031e+233
 1.05944950e+221
 Inf
 Inf
 2.51327420e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.47714128e+243
 Inf
 Inf
 2.51327460e+03
 Inf
 Inf
 2.51342217e+03
 2.51388016e+03
 2.51383157e+03
 2.51380813e+03
 2.51390992e+03
 2.51379656e+03
 2.51327843e+03
 Inf
 2.51337158e+03
 2.51338706e+03
 2.51344932e+03
 2.51341761e+03
 2.51347429e+03
 2.51339315e+03
 2.51327659e+03
 2.51328742e+03
 2.51183048e+03
 2.51336015e+03
 2.51349341e+03
 2.51348691e+03
 2.51346289e+03
 2.51337346e+03
 2.51360094e+03
 2.51378088e+03
 2.51366769e+03
 2.51378655e+03
 2.51387861e+03
 2.51396994e+03
 2.51404659e+03
 2.51419463e+03
 2.51392748e+03
 2.51398827e+03
 2.51479401e+03
 2.51555494e+03
 2.51511313e+03
 2.51493444e+03
 2.51517570e+03
 2.51487344e+03
 2.51449423e+03
 2.51492668e+03
 2.51513217e+03
 2.51431062e+03
 2.51518118e+03
 2.51606073e+03
 2.51535808e+03
 2.51462726e+03
 2.51479147e+03
 2.51533524e+03
 2.51498598e+03
 2.51507552e+03
 2.51536101e+03
 2.51574803e+03
 2.51542754e+03
 2.51498084e+03
 2.51516197e+03
 2.51506225e+03
 2.51497047e+03
 2.51501470e+03
 2.51450523e+03
 2.51400012e+03
 2.51348878e+03
 2.51328908e+03
 2.51334198e+03
 2.51333541e+03
 2.51329462e+03
 2.51331249e+03
 2.51328249e+03
 2.51327780e+03
 2.51346987e+03
 2.51376404e+03
 2.51394366e+03
 2.51375848e+03
 2.51374069e+03
 2.51404134e+03
 2.51437851e+03
 2.51480385e+03
 2.51408908e+03
 2.51470939e+03
 2.51570134e+03
 2.51453630e+03
 2.51388171e+03
 2.51437014e+03
 2.51496013e+03
 2.51463416e+03
 2.51450306e+03
 2.51533808e+03
 2.51588118e+03
 2.51506494e+03
 2.51479161e+03
 2.51426855e+03
 2.51455872e+03
 2.51426062e+03
 2.51353629e+03
 2.51371388e+03
 2.51379370e+03
 2.51383312e+03
 2.51435977e+03
 2.51459282e+03
 2.51419271e+03
 2.51411081e+03
 2.51437224e+03
 2.51418699e+03
 2.51402921e+03
 2.51409807e+03
 2.51392427e+03
 2.51392135e+03
 2.51387244e+03
 2.51356989e+03
 2.51372316e+03
 2.51404483e+03
 Inf
 2.56638989e+221
 Inf
 Inf
 Inf
 Inf
 2.51352922e+03
 2.51375573e+03
 2.51380815e+03
 2.51436808e+03
 2.51404482e+03
 2.51569820e+03
 2.51534075e+03
 2.51391468e+03
 2.51394671e+03
 2.51380522e+03
 2.51367396e+03
 2.51369045e+03
 2.51386936e+03
 2.51386594e+03
 2.51344110e+03
 2.51327587e+03
 2.51332779e+03
 2.51333591e+03
 Inf
 4.78107462e+172
 2.67195082e+230
 3.15855992e+284
 1.49021526e+234
 8.38756189e+266
 Inf
 3.78487483e+304
 1.74544242e+225
 3.87642344e+279
 2.51329462e+03
 2.51378230e+03
 2.51338047e+03
 2.51337664e+03
 2.51363593e+03
 2.51372185e+03
 2.51378656e+03
 2.51404483e+03
 2.51433917e+03
 2.51389886e+03
 2.51398995e+03
 2.51375158e+03
 2.51344029e+03
 2.51364556e+03
 2.51411990e+03
 2.51396329e+03
 2.51382129e+03
 2.51338572e+03
 Inf
 1.40212305e+193
 3.65493909e+86
 2.33954518e+149
 2.51330795e+03
 2.51342602e+03
 2.51403266e+03
 2.51441434e+03
 2.51387705e+03
 2.51403437e+03
 2.51377382e+03
 2.51372987e+03
 2.51397825e+03
 2.51348786e+03
 2.51331982e+03
 2.51355284e+03
 2.51393393e+03
 2.51421381e+03
 2.51329161e+03
 6.73266795e+226
 Inf
 Inf
 Inf
 Inf
 7.09547208e+274
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.00481195e+205
 1.70505633e+197
 2.39019741e+252
 2.90589343e+214
 1.91369461e+192
 Inf
 Inf
 3.32092962e+248
 2.14681763e+300
 2.97467947e+249
 3.83163246e+268
 Inf
 9.81742731e+278
 7.99195719e+257
 8.14728640e+238
 Inf
 2.51327501e+03
 Inf
 Inf
 2.51327444e+03
 Inf
 3.06820306e+242
 4.92562580e+245
 Inf
 Inf
 Inf
 Inf
 2.51329083e+03
 2.51327701e+03
 Inf
 Inf
 Inf
 2.51332024e+03
 2.51330405e+03
 Inf
 Inf
 2.51331772e+03
 2.51333012e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51343706e+03
 2.51345438e+03
 Inf
 Inf
 Inf
 2.51327621e+03
 2.51327452e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328267e+03
 Inf
 Inf
 6.53236145e+228
 3.06144928e+189
 4.50635256e+287
 5.58189154e+264
 4.24791381e+206
 Inf
 Inf
 1.39636512e+269
 1.14439366e+213
 2.36413046e+266
 Inf
 2.51345520e+03
 2.51348330e+03
 2.51329462e+03
 Inf
 Inf
 Inf
 Inf
 2.51519496e+03
 2.52260273e+03
 2.48383256e+03
 2.52401237e+03
 2.52302569e+03
 2.51800194e+03
 2.51495497e+03
 2.51379801e+03
 2.51344110e+03
 2.51339522e+03
 2.51367901e+03
 2.51364433e+03
 2.51357970e+03
 2.51377805e+03
 2.51361472e+03
 2.51353123e+03
 2.51347252e+03
 2.51346290e+03
 2.51336789e+03
 2.51332506e+03
 2.51328908e+03
 Inf
 Inf
 Inf
 2.51329135e+03
 2.51340010e+03
 2.51329241e+03
 Inf
 Inf
 2.51327413e+03
 Inf
 Inf
 Inf
 Inf
 2.51327595e+03
 2.51327780e+03
 Inf
 1.63837595e+292
 Inf
 2.51327540e+03
 Inf
 Inf
 2.51327563e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 5.75410494e+285
 Inf
 1.06996166e+282
 Inf
 Inf
 5.49154688e+236
 8.00791000e+172
 6.98379898e+224
 3.46455930e+261
 1.08456804e+238
 3.77651257e+241
 4.03732854e+276
 1.95063916e+305
 1.81929163e+298
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.78987104e+302
 3.23830089e+201
 6.14473402e+277
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327520e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.56367788e+220
 1.94989022e+194
 1.97008851e+288
 6.98255984e+230
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.68579893e+201
 2.09166530e+205
 1.71291204e+240
 1.34532264e+177
 2.08177685e+205
 6.45826275e+151
 7.27060212e+147
 9.80913500e+204
 2.69077004e+230
 2.34858116e+256
 7.35834558e+255
 1.99354493e+288
 Inf
 Inf
 2.46777655e+286
 Inf
 Inf
 Inf
 Inf
 1.09574458e+165
 1.39039526e+133
 2.52137431e+176
 1.69801270e+290
 2.51329057e+03
 Inf
 Inf
 Inf
 2.51439739e+03
 2.51415490e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327711e+03
 2.51328014e+03
 Inf
 Inf
 2.51327435e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328061e+03
 2.51328502e+03
 2.51327680e+03
 Inf
 Inf
 Inf
 Inf
 9.00706039e+208
 1.67057468e+168
 3.42880123e+291
 Inf
 1.76253264e+225
 9.22127651e+143
 1.58142504e+164
 2.36970402e+252
 2.70962278e+230
 6.18012047e+277
 Inf
 5.15002568e+212
 Inf
 Inf
 7.11455575e+243
 Inf
 Inf
 1.76472206e+225
 1.36885482e+154
 2.62062406e+218
 Inf
 Inf
 Inf
 Inf
 Inf
 4.40015194e+299
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.02802354e+267
 Inf
 2.51327650e+03
 2.51327427e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 1.60932663e+308
 Inf
 Inf
 2.51328481e+03
 1.66213470e+292
 5.28021242e+166
 1.60862775e+229
 2.70130174e+230
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.25012139e+209
 5.91708455e+162
 1.34310899e+173
 2.40107325e+163
 4.07693788e+207
 5.09034770e+212
 6.47041399e+180
 4.89741097e+217
 3.37086820e+215
 2.01074423e+244
 8.58352738e+242
 4.26897511e+225
 2.47102597e+271
 9.65901641e+210
 1.13591678e+174
 4.04707003e+177
 4.79264839e+154
 2.27163520e+167
 5.94191700e+221
 7.10670644e+192
 3.44830242e+171
 3.79854477e+178
 5.64889229e+169
 4.96884989e+147
 1.35255929e+154
 1.89139809e+192
 1.98585940e+236
 4.03645805e+216
 3.68531995e+181
 4.75178444e+240
 2.05261708e+180
 1.41605097e+125
 5.81375970e+162
 1.98391868e+223
 2.02588251e+187
 9.90575071e+204
 8.55659865e+166
 4.28276466e+151
 9.18743266e+160
 9.07333407e+128
 1.20637607e+171
 2.86104518e+151
 1.70217093e+126
 4.73568242e+154
 2.76053033e+172
 3.91685508e+237
 5.63801931e+195
 1.17111499e+150
 1.01094397e+159
 2.33132081e+139
 1.65090184e+139
 6.80410181e+182
 3.65284749e+145
 3.47001384e+131
 9.75204936e+204
 Inf
 7.64455699e+256
 8.24884888e+184
 1.28134737e+151
 5.04962957e+127
 2.17325407e+120
 1.60501992e+127
 1.34486982e+154
 5.22252191e+112
 2.16399482e+120
 1.55808008e+148
 1.74033837e+142
 5.15999383e+140
 2.12221079e+141
 2.96055342e+157
 1.52368011e+114
 4.28502994e+91
 6.95846551e+103
 4.20300693e+151
 3.86636422e+159
 4.71452756e+131
 5.00270194e+148
 6.13511287e+163
 2.31429771e+162
 2.73213944e+185
 1.70576579e+240
 1.92942186e+207
 7.88548159e+136
 5.08627301e+203
 Inf
 1.26491525e+247
 1.57904497e+170
 5.76961137e+135
 3.90707519e+129
 5.60171908e+136
 3.61876627e+120
 3.33015443e+112
 9.26304351e+76
 1.09526125e+93
 7.36593389e+251
 2.30151137e+212
 1.24397716e+178
 1.20600671e+166
 3.27691262e+152
 Inf
 2.51341912e+03
 2.51327420e+03
 2.51335107e+03
 2.51350282e+03
 2.51348693e+03
 2.51357314e+03
 2.51337789e+03
 2.51338373e+03
 2.51349715e+03
 2.51329818e+03
 Inf
 Inf
 2.51328812e+03
 2.51328077e+03
 Inf
 2.51330303e+03
 2.51335898e+03
 2.51353426e+03
 2.51345351e+03
 Inf
 2.51327514e+03
 Inf
 2.48296929e+252
 8.94714625e+249
 Inf
 Inf
 Inf
 2.51396002e+03
 2.51380084e+03
 2.51328765e+03
 2.51335107e+03
 Inf
 Inf
 Inf
 2.51339800e+03
 2.51341537e+03
 Inf
 2.51333443e+03
 2.51344766e+03
 2.51361589e+03
 2.51368537e+03
 2.51332965e+03
 2.51342602e+03
 2.51351535e+03
 2.51347075e+03
 2.51345435e+03
 2.51335107e+03
 2.51356343e+03
 2.51378514e+03
 2.51336249e+03
 2.51334888e+03
 2.51340581e+03
 2.51335498e+03
 Inf
 8.64832295e+266
 4.24879705e+206
 2.99691554e+141
 2.84194173e+214
 8.69950344e+288
 5.81259479e+189
 1.36620779e+193
 Inf
 4.39319967e+282
 4.22013904e+209
 3.39832868e+197
 4.09514918e+208
 2.93908159e+249
 1.73611803e+225
 1.08604041e+147
 8.55773784e+141
 7.25408291e+147
 2.75575740e+172
 Inf
 Inf
 Inf
 Inf
 3.51798172e+261
 4.63683504e+231
 2.40532706e+252
 9.98115837e+252
 8.88488694e+207
 1.17286127e+150
 2.16992067e+132
 1.81885485e+140
 1.73713338e+142
 1.30012678e+121
 2.94236376e+157
 7.16318018e+253
 1.51036421e+143
 8.13950185e+124
 2.02151057e+169
 1.89851898e+192
 9.76467752e+171
 3.03375170e+189
 1.44809194e+237
 1.99188028e+206
 3.45495023e+171
 1.89946002e+192
 2.93558978e+238
 4.34477207e+196
 1.70996837e+240
 Inf
 5.24154799e+203
 4.36078405e+210
 Inf
 2.68534798e+218
 4.33392692e+196
 6.57100209e+201
 2.53506437e+228
 7.00396767e+243
 4.68152512e+211
 1.59465824e+264
 1.93736291e+265
 1.63073418e+189
 4.16938328e+209
 Inf
 6.78056147e+270
 Inf
 1.85799741e+274
 1.72962543e+240
 Inf
 2.51340654e+03
 2.51358080e+03
 2.51373524e+03
 2.51357750e+03
 2.51340581e+03
 2.51362172e+03
 2.51349155e+03
 2.51340872e+03
 2.51355179e+03
 2.51366646e+03
 2.51386325e+03
 2.51426459e+03
 2.51452742e+03
 2.51471899e+03
 2.51386477e+03
 2.51346811e+03
 2.51377663e+03
 2.51369561e+03
 2.51350187e+03
 2.51349814e+03
 2.51354554e+03
 2.51349903e+03
 Inf
 1.27387197e+183
 3.16096932e+186
 1.07814143e+165
 2.39733141e+163
 5.53370548e+233
 2.05111811e+180
 6.37466204e+143
 2.09894742e+182
 2.18301620e+152
 6.40279106e+151
 3.32277242e+215
 7.98370350e+219
 7.43559353e+183
 8.57999811e+188
 6.12599022e+277
 2.58940182e+281
 Inf
 Inf
 6.27303264e+218
 2.58691417e+258
 5.70559594e+285
 7.30655334e+292
 4.06404648e+276
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.10744015e+221
 Inf
 Inf
 Inf
 1.08537059e+301
 Inf
 Inf
 4.20122867e+229
 1.06374183e+268
 7.29125420e+294
 Inf
 1.05028166e+276
 6.46564404e+228
 Inf
 Inf
 Inf
 Inf
 5.52229774e+301
 Inf
 Inf
 Inf
 5.61143919e+264
 3.43091726e+295
 8.45313214e+266
 1.84719427e+274
 3.44379787e+272
 Inf
 Inf
 Inf
 Inf
 9.05743276e+298
 2.31128032e+167
 2.32080520e+148
 9.63801178e+174
 5.83980979e+186
 1.59389419e+135
 7.32165495e+146
 2.19407782e+239
 1.04981126e+287
 1.70023302e+245
 3.41372589e+197
 2.21931978e+156
 3.38496431e+169
 4.41244824e+176
 6.86811386e+182
 9.53939886e+210
 Inf
 Inf
 1.83991948e+298
 5.42345729e+301
 Inf
 Inf
 Inf
 7.57696217e+235
 4.64873790e+263
 Inf
 Inf
 2.51327640e+03
 Inf
 3.13548740e+260
 Inf
 Inf
 Inf
 2.26816620e+239
 Inf
 Inf
 1.64433099e+296
 Inf
 Inf
 Inf
 Inf
 2.51346463e+03
 2.51339314e+03
 1.66263772e+280
 Inf
 Inf
 Inf
 Inf
 Inf
 4.01658593e+262
 1.91438605e+208
 1.08871981e+187
 2.50873688e+251
 3.43356199e+272
 Inf
 Inf
 1.07208991e+230
 5.10720150e+212
 9.12398157e+209
 3.67076504e+247
 1.80657494e+283
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.37772854e+256
 7.49112445e+252
 8.02359935e+219
 Inf
 8.93404236e+298
 1.47018439e+237
 6.19878471e+239
 5.19613266e+203
 2.42886827e+278
 Inf
 Inf
 Inf
 3.93403445e+289
 Inf
 Inf
 Inf
 2.51329578e+03
 Inf
 Inf
 Inf
 2.51328093e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328362e+03
 Inf
 Inf
 2.51330795e+03
 2.51327533e+03
 Inf
 Inf
 1.41193609e+269
 Inf
 Inf
 Inf
 2.51327768e+03
 Inf
 Inf
 8.67635242e+258
 1.46427653e+237
 2.51328178e+03
 2.51327563e+03
 1.08210564e+276
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.08783719e+268
 1.07452333e+301
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.94923968e+279
 6.24110844e+163
 5.18263117e+140
 1.40104200e+191
 7.23170837e+253
 Inf
 2.51397659e+03
 2.51986406e+03
 2.52083343e+03
 2.51826041e+03
 2.51691814e+03
 2.51476231e+03
 2.51340223e+03
 2.51327414e+03
 2.51327805e+03
 2.51327925e+03
 2.51336973e+03
 2.51334512e+03
 2.51327484e+03
 2.51333739e+03
 2.51338639e+03
 2.51327548e+03
 Inf
 Inf
 Inf
 2.51327420e+03
 2.51332779e+03
 2.51328957e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.04118944e+249
 Inf
 Inf
 Inf
 Inf
 2.51328093e+03
 2.51329911e+03
 Inf
 Inf
 2.51328195e+03
 2.51328587e+03
 2.51327690e+03
 Inf
 8.71520462e+258
 1.07312934e+301
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.73396181e+275
 Inf
 2.21070576e+196
 6.10784816e+159
 1.08869721e+199
 2.06307658e+190
 Inf
 2.51332328e+03
 2.51345016e+03
 2.51382423e+03
 2.51401204e+03
 2.51384356e+03
 2.51360322e+03
 2.51349715e+03
 2.51366895e+03
 2.51362289e+03
 2.51343867e+03
 2.51391468e+03
 2.51459280e+03
 2.51399503e+03
 2.51388794e+03
 2.51398829e+03
 2.51413275e+03
 2.51430658e+03
 2.51345351e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329322e+03
 2.51327507e+03
 Inf
 2.51327659e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331133e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.47603963e+295
 Inf
 Inf
 Inf
 6.78748976e+270
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328195e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330580e+03
 2.51330723e+03
 2.51328481e+03
 2.51336668e+03
 Inf
 5.19782638e+269
 8.84201810e+298
 Inf
 9.39637766e+216
 7.98570663e+219
 1.55939003e+308
 2.71673502e+275
 Inf
 Inf
 Inf
 6.57046593e+179
 6.74750121e+197
 6.96440471e+274
 4.37155366e+282
 Inf
 Inf
 Inf
 Inf
 9.36941951e+259
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327817e+03
 Inf
 1.62148815e+264
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.17573038e+212
 Inf
 Inf
 2.51342757e+03
 2.51338705e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.50831804e+257
 1.05959296e+230
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327444e+03
 2.51331171e+03
 2.51327474e+03
 Inf
 Inf
 Inf
 Inf
 2.51328342e+03
 2.51328014e+03
 Inf
 Inf
 Inf
 Inf
 5.85944667e+202
 8.45802745e+258
 Inf
 Inf
 Inf
 Inf
 Inf
 2.56553906e+221
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.97937056e+307
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328932e+03
 2.51327427e+03
 2.51335385e+03
 2.51401032e+03
 2.51418327e+03
 2.51367145e+03
 2.51361011e+03
 2.51365778e+03
 2.51367901e+03
 2.51361356e+03
 2.51351633e+03
 2.51354450e+03
 2.51351340e+03
 2.51327412e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330136e+03
 2.51328789e+03
 Inf
 2.51337096e+03
 2.51355811e+03
 2.51327733e+03
 Inf
 2.51332067e+03
 2.51338047e+03
 2.51346899e+03
 2.51346030e+03
 2.51340223e+03
 2.51331094e+03
 Inf
 Inf
 2.51330371e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331648e+03
 2.51329241e+03
 Inf
 2.51327444e+03
 2.51330943e+03
 2.51329083e+03
 2.51327570e+03
 2.51327432e+03
 2.51328045e+03
 2.51330071e+03
 2.51330405e+03
 2.51329462e+03
 Inf
 Inf
 2.51329268e+03
 2.51330651e+03
 Inf
 Inf
 Inf
 2.51327587e+03
 2.51330869e+03
 Inf
 2.51328249e+03
 2.51335385e+03
 2.51328652e+03
 2.51327711e+03
 2.51333590e+03
 2.51336488e+03
 2.51333297e+03
 2.51332110e+03
 2.51331648e+03
 2.51329350e+03
 2.51327412e+03
 2.51328982e+03
 2.51331813e+03
 2.51328231e+03
 2.51333106e+03
 2.51328342e+03
 Inf
 2.51329322e+03
 2.51329849e+03
 Inf
 Inf
 Inf
 2.51327474e+03
 2.51330007e+03
 Inf
 Inf
 Inf
 2.51327640e+03
 2.51331689e+03
 2.51335554e+03
 2.51334565e+03
 2.51327612e+03
 Inf
 Inf
 Inf
 2.51331249e+03
 Inf
 2.78945508e+302
 Inf
 Inf
 2.51336973e+03
 2.51333106e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328161e+03
 Inf
 Inf
 2.51342835e+03
 2.51338974e+03
 Inf
 2.51329666e+03
 2.51331689e+03
 Inf
 Inf
 2.51328982e+03
 2.51336790e+03
 2.51329350e+03
 2.51330136e+03
 2.51344355e+03
 2.51329295e+03
 Inf
 2.51330723e+03
 2.51333443e+03
 2.51327780e+03
 Inf
 2.51332197e+03
 2.51331897e+03
 2.51327533e+03
 2.51330687e+03
 Inf
 2.43637401e+163
 6.59628081e+270
 Inf
 Inf
 Inf
 Inf
 3.00231750e+307
 3.99610774e+237
 2.47597500e+271
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327413e+03
 Inf
 Inf
 Inf
 2.51327650e+03
 2.51329726e+03
 Inf
 2.51409628e+03
 2.51380086e+03
 Inf
 2.51335217e+03
 2.51364557e+03
 2.51329268e+03
 Inf
 Inf
 2.51329462e+03
 2.51338705e+03
 2.51334779e+03
 2.51329406e+03
 2.51345183e+03
 2.51345526e+03
 2.51327911e+03
 Inf
 Inf
 Inf
 Inf
 2.51327745e+03
 2.51327474e+03
 Inf
 Inf
 Inf
 2.51328932e+03
 2.51335162e+03
 2.51336368e+03
 2.51327621e+03
 2.51327555e+03
 2.51333059e+03
 2.51335052e+03
 2.51338638e+03
 2.51328441e+03
 2.51327595e+03
 2.51328587e+03
 Inf
 Inf
 2.51327465e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327911e+03
 2.51333106e+03
 2.51327555e+03
 Inf
 Inf
 Inf
 Inf
 2.51327479e+03
 2.51328675e+03
 2.51330723e+03
 2.51329405e+03
 Inf
 Inf
 Inf
 Inf
 2.51327422e+03
 2.51329378e+03
 Inf
 2.51340294e+03
 2.51347252e+03
 2.51331730e+03
 2.51344683e+03
 2.51346032e+03
 2.51331249e+03
 2.51345099e+03
 2.51370471e+03
 2.51353527e+03
 2.51340152e+03
 2.51351927e+03
 2.51347966e+03
 2.51332024e+03
 2.51341611e+03
 2.51353630e+03
 2.51337853e+03
 2.51330371e+03
 2.51334779e+03
 2.51338572e+03
 2.51387552e+03
 2.51421382e+03
 2.51402229e+03
 2.51368791e+03
 2.51335107e+03
 2.51339246e+03
 2.51341611e+03
 2.51348329e+03
 2.51363833e+03
 2.51362170e+03
 2.51350282e+03
 2.51399842e+03
 2.51424101e+03
 2.51379944e+03
 2.51364436e+03
 2.51371917e+03
 2.51393878e+03
 2.51367522e+03
 2.51357641e+03
 2.51371521e+03
 2.51388948e+03
 2.51376263e+03
 2.51351049e+03
 2.51351330e+03
 2.51394365e+03
 2.51384204e+03
 2.51332871e+03
 2.51332820e+03
 2.51339315e+03
 2.51350092e+03
 2.51362761e+03
 2.51348694e+03
 2.51356988e+03
 2.51338705e+03
 2.51330580e+03
 2.51330795e+03
 Inf
 2.51336850e+03
 2.51354970e+03
 2.51356453e+03
 2.51376264e+03
 2.51375151e+03
 2.51370601e+03
 2.50549952e+03
 2.51377101e+03
 2.51366396e+03
 2.51363117e+03
 2.51377946e+03
 2.51413274e+03
 2.51380232e+03
 2.51370341e+03
 2.51424489e+03
 2.51374337e+03
 2.51370213e+03
 2.51392427e+03
 2.51373659e+03
 2.51359867e+03
 2.51348970e+03
 2.51358411e+03
 2.51350664e+03
 2.51343787e+03
 2.51340872e+03
 2.51335725e+03
 2.51341761e+03
 2.51367271e+03
 2.51363115e+03
 2.51340366e+03
 2.51366025e+03
 2.51380668e+03
 2.51374883e+03
 2.51363117e+03
 2.51344766e+03
 2.51346462e+03
 2.51342370e+03
 2.51340081e+03
 2.51343466e+03
 2.51346899e+03
 2.51348970e+03
 2.51337346e+03
 2.51327527e+03
 2.51327417e+03
 2.51338974e+03
 2.51351535e+03
 2.51353630e+03
 2.51370080e+03
 2.51369676e+03
 2.51344273e+03
 2.51339178e+03
 2.51341611e+03
 2.51355811e+03
 2.51352421e+03
 2.51331171e+03
 2.51330981e+03
 2.51347607e+03
 2.51375572e+03
 2.51354657e+03
 2.51342757e+03
 2.51340366e+03
 2.51330615e+03
 Inf
 2.51329083e+03
 2.51336668e+03
 2.51334406e+03
 2.51339178e+03
 2.51341462e+03
 2.51334302e+03
 2.51330303e+03
 2.51335554e+03
 2.51369047e+03
 2.51351730e+03
 Inf
 2.51332461e+03
 2.51359303e+03
 2.51343307e+03
 2.51348970e+03
 2.51340294e+03
 2.51332779e+03
 2.51330759e+03
 2.51332733e+03
 2.51338047e+03
 2.51329757e+03
 2.51329007e+03
 2.51333249e+03
 2.51335783e+03
 2.51342913e+03
 2.51339590e+03
 2.51339246e+03
 2.51337725e+03
 2.51327484e+03
 Inf
 2.51330236e+03
 2.51341387e+03
 2.51328231e+03
 2.51329548e+03
 2.51343546e+03
 2.51337917e+03
 2.51332918e+03
 2.51330202e+03
 2.51349155e+03
 2.51351051e+03
 2.51334146e+03
 2.51328884e+03
 2.51328195e+03
 2.51334512e+03
 2.51348238e+03
 2.51347338e+03
 2.51336608e+03
 2.51343948e+03
 2.51331526e+03
 Inf
 Inf
 2.51331210e+03
 2.51333541e+03
 2.51328267e+03
 2.51328697e+03
 2.51347966e+03
 2.51328812e+03
 Inf
 Inf
 Inf
 Inf
 2.51328836e+03
 2.51331566e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327587e+03
 2.51328675e+03
 2.51327484e+03
 2.51330759e+03
 2.51328652e+03
 Inf
 2.51327420e+03
 2.51328195e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327413e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51336073e+03
 2.51328362e+03
 2.51331171e+03
 2.51336073e+03
 2.51335554e+03
 2.51338112e+03
 2.51337981e+03
 2.51332687e+03
 2.51468805e+03
 2.51953148e+03
 2.51965222e+03
 2.51845319e+03
 2.51613083e+03
 2.51409269e+03
 2.51370602e+03
 2.51347163e+03
 2.51332024e+03
 2.51347429e+03
 2.51351928e+03
 2.51331249e+03
 2.51327856e+03
 2.51329032e+03
 2.51339870e+03
 2.51329350e+03
 Inf
 Inf
 Inf
 Inf
 2.51328461e+03
 2.51327701e+03
 Inf
 Inf
 2.51327745e+03
 Inf
 Inf
 2.51328249e+03
 Inf
 3.99951104e+289
 1.86114341e+200
 1.54076090e+294
 Inf
 2.51327548e+03
 2.51330544e+03
 2.51328178e+03
 Inf
 Inf
 2.51329880e+03
 2.51339730e+03
 2.51329241e+03
 Inf
 Inf
 Inf
 2.51329007e+03
 2.51344110e+03
 2.51332551e+03
 Inf
 2.51327469e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327417e+03
 2.51328697e+03
 2.51329241e+03
 2.51334833e+03
 2.51334406e+03
 2.51333541e+03
 2.51336428e+03
 2.51334672e+03
 2.51332461e+03
 2.51327883e+03
 2.51327897e+03
 2.51328342e+03
 Inf
 Inf
 2.51333106e+03
 2.51344110e+03
 2.51350664e+03
 2.51358411e+03
 2.51360666e+03
 2.51338047e+03
 2.51328323e+03
 2.51333739e+03
 2.51340654e+03
 2.51331526e+03
 2.51328178e+03
 2.51332687e+03
 2.51349809e+03
 2.51352225e+03
 2.51330615e+03
 2.51334512e+03
 2.51335162e+03
 Inf
 Inf
 2.51329757e+03
 2.51363474e+03
 2.51341018e+03
 2.51345774e+03
 2.51348147e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.35838559e+177
 1.56493198e+170
 2.11339975e+217
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330337e+03
 2.51337725e+03
 2.51339452e+03
 Inf
 Inf
 2.51327701e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327680e+03
 2.51407124e+03
 2.51411291e+03
 2.51427450e+03
 2.51476960e+03
 2.51456096e+03
 2.51461795e+03
 2.51535239e+03
 2.51554007e+03
 2.51493438e+03
 2.51402231e+03
 2.51393721e+03
 2.51406238e+03
 2.51437851e+03
 2.51504375e+03
 2.51479149e+03
 2.51488600e+03
 2.51486332e+03
 2.51382866e+03
 2.51426456e+03
 2.51498604e+03
 2.49859434e+03
 2.51524768e+03
 2.51536970e+03
 2.51549822e+03
 2.51488353e+03
 2.51480151e+03
 2.51561838e+03
 2.51498859e+03
 2.51392909e+03
 2.51441216e+03
 2.51494467e+03
 2.51495844e+03
 2.51439317e+03
 2.51435373e+03
 2.51446800e+03
 2.51410532e+03
 2.51431465e+03
 2.51433113e+03
 2.51459964e+03
 2.51474782e+03
 2.51482608e+03
 2.51551602e+03
 2.51520041e+03
 2.51385564e+03
 2.51378092e+03
 2.51426260e+03
 2.51380232e+03
 2.51356130e+03
 2.51369950e+03
 2.51385261e+03
 2.51380666e+03
 2.51401202e+03
 2.51412908e+03
 2.51391787e+03
 2.51455199e+03
 2.51465996e+03
 2.51376682e+03
 2.51373667e+03
 2.51391787e+03
 2.51426459e+03
 2.51549524e+03
 2.51555287e+03
 2.51468333e+03
 2.51497556e+03
 2.51511055e+03
 2.51519777e+03
 2.51597504e+03
 2.51529259e+03
 2.51497308e+03
 2.51573548e+03
 2.51549806e+03
 2.51528138e+03
 2.51525351e+03
 2.51545392e+03
 2.51549246e+03
 2.51531528e+03
 2.51562445e+03
 2.51551591e+03
 2.51496527e+03
 2.51472858e+03
 2.51424685e+03
 2.51402921e+03
 2.51452961e+03
 2.51479650e+03
 2.51517849e+03
 2.51556094e+03
 2.51537819e+03
 2.51504375e+03
 2.51503673e+03
 2.51460193e+03
 2.51449428e+03
 2.51491904e+03
 2.51444207e+03
 2.51421767e+03
 2.51522817e+03
 2.51594904e+03
 2.51504636e+03
 2.51470232e+03
 2.51499120e+03
 2.51478907e+03
 2.51426261e+03
 2.51441427e+03
 2.51507296e+03
 2.51558206e+03
 2.51554825e+03
 2.51511588e+03
 2.51453186e+03
 2.51390202e+03
 2.51413641e+03
 2.51438479e+03
 2.51429445e+03
 2.51420803e+03
 2.51424291e+03
 2.51550116e+03
 2.51616803e+03
 2.51625698e+03
 2.51631526e+03
 2.51578566e+03
 2.51569535e+03
 2.51560019e+03
 2.51576991e+03
 2.51548041e+03
 2.51497824e+03
 2.51510230e+03
 2.51461110e+03
 2.51410533e+03
 2.51467860e+03
 2.51525051e+03
 2.51560326e+03
 2.51518943e+03
 2.51429449e+03
 2.51456321e+03
 2.51477692e+03
 2.51518397e+03
 2.51507018e+03
 2.51475746e+03
 2.51529543e+03
 2.51622231e+03
 2.51987931e+03
 2.51780492e+03
 2.51471181e+03
 2.51531516e+03
 2.51587474e+03
 2.51513750e+03
 2.51490384e+03
 2.51511315e+03
 2.51427848e+03
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 2.51398491e+03
 2.51452295e+03
 2.51513213e+03
 2.51508591e+03
 2.51464815e+03
 2.51472364e+03
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 2.51554891e+03
 2.51481860e+03
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 2.51453631e+03
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