Inf
 Inf
 2.51327555e+03
 2.51328860e+03
 2.51328160e+03
 2.51330906e+03
 2.51333640e+03
 2.51330236e+03
 2.51328481e+03
 2.51331446e+03
 2.51340726e+03
 2.51351633e+03
 2.51340509e+03
 2.51345351e+03
 2.51341165e+03
 2.51338047e+03
 2.51377805e+03
 2.51373790e+03
 2.51364315e+03
 2.51383163e+03
 2.51372449e+03
 2.51359079e+03
 2.51345860e+03
 2.51332024e+03
 2.51332733e+03
 2.51345099e+03
 2.51346725e+03
 2.51332240e+03
 2.51328249e+03
 Inf
 Inf
 2.51328342e+03
 2.51330202e+03
 2.51337158e+03
 2.51341686e+03
 2.51334726e+03
 2.51339315e+03
 2.51332372e+03
 Inf
 Inf
 Inf
 Inf
 1.11604045e+248
 4.27165646e+225
 Inf
 7.60395066e+283
 6.83808659e+197
 2.43093433e+243
 Inf
 2.51335218e+03
 2.51330136e+03
 Inf
 Inf
 Inf
 2.51327939e+03
 2.51328077e+03
 2.51327419e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329975e+03
 2.51327745e+03
 2.51328143e+03
 2.51336729e+03
 2.51329007e+03
 2.51327422e+03
 2.51329636e+03
 2.51328077e+03
 Inf
 3.72291375e+181
 7.29711831e+170
 Inf
 Inf
 Inf
 2.37804036e+256
 1.24878268e+169
 2.20133289e+199
 3.85572521e+279
 5.85808050e+244
 5.21760829e+191
 1.07647525e+204
 2.44694983e+188
 1.17858368e+179
 7.29395813e+170
 2.94316717e+137
 1.61601553e+149
 1.33438765e+184
 3.65352362e+145
 9.19918632e+185
 Inf
 4.70245242e+263
 6.62787618e+201
 2.75257564e+185
 2.77617677e+259
 3.69814961e+247
 5.90074147e+186
 8.19024685e+250
 1.24791377e+247
 1.33887916e+285
 Inf
 4.97887092e+217
 3.69631470e+304
 Inf
 Inf
 Inf
 1.77344107e+216
 4.83053997e+273
 1.38765758e+269
 1.04733757e+235
 3.48555205e+291
 Inf
 Inf
 Inf
 2.51328742e+03
 2.51327417e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.39252402e+280
 9.23864208e+271
 1.48836314e+234
 3.11920773e+232
 7.25026091e+292
 2.15977450e+300
 1.05825451e+287
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.30735624e+273
 7.28364191e+254
 Inf
 Inf
 Inf
 1.03214133e+306
 Inf
 Inf
 Inf
 4.23556417e+209
 3.32670495e+293
 1.29463390e+273
 1.68101280e+168
 9.53895287e+159
 2.98290777e+126
 2.25742244e+173
 4.85983243e+245
 2.22837296e+199
 1.91657167e+265
 1.84680355e+274
 8.03426004e+172
 1.16716960e+150
 9.85345698e+163
 5.02202194e+185
 2.92468163e+249
 7.17113183e+303
 1.57941196e+308
 1.84475725e+270
 1.39812620e+303
 2.01554404e+236
 2.13865089e+217
 1.07795656e+238
 4.48960458e+238
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.63233339e+283
 2.23636845e+199
 1.36841161e+193
 1.08764950e+190
 6.69797151e+178
 6.54862864e+201
 2.88550330e+214
 1.65173525e+172
 1.62795668e+149
 4.61042045e+139
 2.44603376e+203
 1.02693306e+261
 5.90827891e+186
 3.43066929e+222
 7.05149618e+224
 5.89073241e+160
 1.14292717e+181
 5.74866363e+202
 1.11916862e+155
 6.52885109e+181
 4.39902720e+205
 3.41851733e+156
 2.85455623e+175
 3.92655758e+262
 Inf
 Inf
 Inf
 Inf
 Inf
 9.83198854e+278
 5.72094050e+285
 Inf
 1.08290428e+301
 Inf
 3.43399471e+293
 1.02951261e+306
 Inf
 Inf
 8.20555780e+238
 3.83573233e+178
 3.08735182e+232
 Inf
 1.58210683e+201
 5.61022791e+195
 8.18781441e+184
 2.37853304e+146
 1.21675421e+127
 2.33129689e+160
 2.92845757e+267
 4.17380834e+164
 5.71351615e+144
 8.16611369e+222
 5.53291564e+264
 Inf
 1.09242375e+238
 4.60559885e+188
 3.91003151e+190
 2.36453165e+160
 4.08105511e+229
 Inf
 Inf
 Inf
 5.24652335e+191
 1.14970152e+180
 6.24487120e+280
 3.79575715e+241
 2.03012760e+187
 1.35156258e+198
 5.98291245e+221
 Inf
 Inf
 Inf
 1.09960816e+204
 4.91982498e+217
 2.88955942e+307
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.59465951e+277
 1.81386241e+283
 4.82724603e+240
 Inf
 Inf
 Inf
 7.17664313e+177
 3.73364901e+241
 Inf
 Inf
 Inf
 1.05357504e+235
 2.53169866e+251
 Inf
 1.56808475e+294
 7.79682952e+296
 1.45641443e+156
 1.08764009e+199
 Inf
 1.63532287e+264
 8.89564912e+207
 6.58314640e+201
 1.07838211e+204
 2.22793527e+239
 3.01717250e+242
 7.07091991e+224
 3.26586746e+248
 3.43212838e+272
 7.53492699e+152
 5.02917750e+148
 Inf
 Inf
 3.47283771e+272
 1.15060841e+218
 9.33077147e+185
 3.19400934e+201
 Inf
 Inf
 2.93407754e+224
 1.88550936e+220
 Inf
 3.13344343e+260
 2.27218359e+204
 Inf
 Inf
 3.20926015e+284
 1.56307662e+294
 7.84385066e+251
 1.79189385e+231
 2.01095022e+223
 7.34032762e+142
 2.16666621e+132
 9.80472345e+163
 1.04085540e+141
 3.66514952e+162
 9.98155012e+227
 4.37671226e+210
 1.67517452e+175
 2.63694874e+193
 2.01720630e+187
 6.55980674e+201
 8.21758504e+250
 3.49460545e+291
 Inf
 Inf
 2.51328742e+03
 2.51331772e+03
 Inf
 1.03685632e+306
 2.00566943e+288
 1.84110594e+270
 2.96567782e+249
 7.54294224e+283
 1.57253690e+280
 1.59508264e+292
 Inf
 Inf
 Inf
 Inf
 1.49480463e+234
 2.34100938e+177
 1.58768718e+159
 Inf
 Inf
 Inf
 Inf
 Inf
 1.45640457e+246
 7.57678263e+256
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.76750751e+304
 1.40392157e+303
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327514e+03
 Inf
 Inf
 Inf
 2.51364557e+03
 2.51382869e+03
 2.51332417e+03
 Inf
 Inf
 2.51327432e+03
 2.51327413e+03
 Inf
 2.51327925e+03
 2.51328502e+03
 2.51330906e+03
 2.51329943e+03
 2.51327570e+03
 2.51327745e+03
 2.51327604e+03
 Inf
 Inf
 Inf
 Inf
 2.51331566e+03
 2.51334043e+03
 Inf
 2.51354554e+03
 2.51420036e+03
 2.51409262e+03
 2.51420609e+03
 2.51451186e+03
 2.51492673e+03
 2.51487077e+03
 2.51402575e+03
 2.51409982e+03
 2.51474296e+03
 2.51495761e+03
 2.51472612e+03
 2.51445070e+03
 2.51465279e+03
 2.51461791e+03
 2.51465747e+03
 2.51451407e+03
 2.51442284e+03
 2.51467625e+03
 2.51455646e+03
 2.51430658e+03
 2.51488605e+03
 2.51530117e+03
 2.51521692e+03
 2.51496011e+03
 2.51492945e+03
 2.51512939e+03
 2.51445500e+03
 2.51433716e+03
 2.51432701e+03
 2.51430254e+03
 2.51450302e+03
 2.51429247e+03
 2.51427262e+03
 2.51411624e+03
 2.51411484e+03
 2.51410533e+03
 2.51404833e+03
 2.51445069e+03
 2.50077353e+03
 2.51438478e+03
 2.51434534e+03
 2.51415499e+03
 2.51379083e+03
 2.51379478e+03
 2.51415126e+03
 2.51426067e+03
 2.51402058e+03
 2.51414011e+03
 2.51460652e+03
 2.51466702e+03
 2.51434532e+03
 2.51426066e+03
 2.51482356e+03
 2.51444636e+03
 2.51387706e+03
 2.51422926e+03
 2.51445936e+03
 2.51442698e+03
 2.51432688e+03
 2.51403613e+03
 2.51403307e+03
 2.51378655e+03
 2.51384355e+03
 2.51385566e+03
 2.51397825e+03
 2.51416061e+03
 2.51396331e+03
 2.51424292e+03
 2.51470229e+03
 2.51445066e+03
 2.51417943e+03
 2.51451184e+03
 2.51422732e+03
 2.51404834e+03
 2.51395510e+03
 2.51390045e+03
 2.51428447e+03
 2.51445721e+03
 2.51430656e+03
 2.51400181e+03
 2.51427648e+03
 2.51466453e+03
 2.51455418e+03
 2.51456306e+03
 2.51454525e+03
 2.51422346e+03
 2.51382276e+03
 2.51372318e+03
 2.51391468e+03
 2.51369820e+03
 2.51381981e+03
 2.51438059e+03
 2.51430445e+03
 2.51462262e+03
 2.51423706e+03
 2.51384058e+03
 2.51398660e+03
 2.51422540e+03
 2.51408012e+03
 2.51381542e+03
 2.51401543e+03
 2.51403621e+03
 2.51404311e+03
 2.51386477e+03
 2.51368791e+03
 2.51405182e+03
 2.51444640e+03
 2.51367145e+03
 2.51330405e+03
 2.51334198e+03
 2.51348057e+03
 2.51342064e+03
 2.51341462e+03
 2.51357860e+03
 2.51367775e+03
 2.51371258e+03
 2.51339178e+03
 2.51341536e+03
 2.51380667e+03
 2.51362172e+03
 2.51358301e+03
 2.51352721e+03
 2.51338705e+03
 2.51363235e+03
 2.51386172e+03
 2.51373929e+03
 2.51384506e+03
 2.51401202e+03
 2.51378513e+03
 2.51372185e+03
 2.51382128e+03
 2.51392427e+03
 2.51380088e+03
 2.51347075e+03
 2.51330906e+03
 2.51351146e+03
 2.51378941e+03
 2.51358411e+03
 2.51360663e+03
 2.51372985e+03
 2.51386783e+03
 2.51405535e+03
 2.51361938e+03
 2.51338112e+03
 2.51368535e+03
 2.51369320e+03
 2.51368281e+03
 2.51372851e+03
 2.51358411e+03
 2.51367396e+03
 2.51362760e+03
 2.51348786e+03
 2.51348240e+03
 2.51335385e+03
 2.51328178e+03
 Inf
 Inf
 Inf
 2.51332871e+03
 2.51340438e+03
 2.51328481e+03
 2.51328502e+03
 2.51329378e+03
 Inf
 Inf
 2.51332197e+03
 2.51332462e+03
 2.51335498e+03
 2.51337661e+03
 2.51346117e+03
 2.51333541e+03
 2.51330474e+03
 2.51337345e+03
 2.51344191e+03
 2.51349434e+03
 2.51342217e+03
 2.51335898e+03
 2.51329187e+03
 2.51334302e+03
 2.51345860e+03
 2.51340437e+03
 2.51329666e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.75418469e+225
 1.84908923e+200
 3.40223038e+272
 5.13152854e+212
 2.51351731e+03
 2.51878423e+03
 2.51897447e+03
 2.51525047e+03
 2.51381982e+03
 2.51333492e+03
 2.51327711e+03
 Inf
 Inf
 Inf
 2.51329577e+03
 Inf
 Inf
 2.51327650e+03
 2.51327412e+03
 2.51328675e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327438e+03
 Inf
 Inf
 Inf
 2.51327415e+03
 Inf
 Inf
 1.04940200e+276
 Inf
 Inf
 2.57137157e+221
 1.09063782e+187
 Inf
 Inf
 Inf
 8.39340838e+222
 2.42886145e+286
 Inf
 1.19043635e+262
 1.45651218e+219
 6.99577413e+274
 2.51338308e+03
 2.51328957e+03
 6.08098833e+186
 2.95169367e+267
 Inf
 Inf
 3.75566764e+304
 Inf
 Inf
 9.92099286e+248
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.16774457e+181
 5.59012858e+195
 Inf
 Inf
 2.55048261e+221
 5.10112100e+212
 1.55694025e+308
 2.45745960e+286
 5.23714108e+191
 1.30555977e+188
 Inf
 Inf
 Inf
 1.82643297e+298
 2.42464805e+252
 2.34521872e+177
 5.19403954e+140
 1.13675620e+181
 3.92546956e+237
 2.69311571e+275
 Inf
 Inf
 Inf
 2.57754993e+228
 1.75911816e+216
 3.37007869e+215
 1.09134727e+190
 8.96252786e+206
 5.38699116e+306
 Inf
 1.82898870e+283
 3.43915454e+295
 1.59791709e+292
 1.84186036e+270
 2.33926333e+253
 4.75936898e+204
 7.03097827e+224
 2.86185413e+195
 7.18161765e+157
 1.26713770e+214
 2.59910838e+226
 8.56121051e+242
 2.76376698e+168
 1.73411992e+150
 6.44447618e+214
 9.09319172e+199
 2.75179153e+185
 2.30627327e+253
 1.20150022e+232
 3.91365872e+159
 6.63185487e+133
 4.68929354e+131
 8.52526686e+141
 1.21657040e+124
 9.01014748e+133
 6.79218290e+182
 1.46781406e+234
 2.89957589e+214
 1.93869873e+157
 7.27892811e+147
 7.42633595e+168
 3.89455414e+190
 1.08720264e+190
 2.21702247e+156
 1.34113407e+173
 1.90011396e+192
 2.38757477e+252
 5.02296389e+269
 9.05836688e+206
 7.21342184e+294
 7.21544194e+303
 6.60116405e+214
 5.62175840e+195
 1.77634949e+231
 Inf
 1.35462789e+285
 9.77872029e+278
 Inf
 9.19502335e+199
 4.53885496e+168
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.01901895e+249
 3.27781709e+248
 1.48438994e+234
 Inf
 Inf
 9.40822166e+259
 2.30145365e+254
 2.81068758e+202
 3.85848706e+279
 Inf
 Inf
 Inf
 Inf
 Inf
 3.88452908e+268
 1.06089397e+230
 1.55051258e+294
 Inf
 3.34740728e+174
 3.80714428e+182
 Inf
 Inf
 Inf
 2.28488892e+204
 1.59395966e+159
 2.15905610e+178
 1.80618208e+270
 9.18746032e+209
 7.98333313e+172
 Inf
 Inf
 7.75383616e+200
 2.53462396e+228
 9.79605412e+248
 Inf
 Inf
 5.48866775e+306
 Inf
 Inf
 Inf
 7.45531058e+254
 5.22292891e+191
 Inf
 2.45817402e+286
 6.23427403e+239
 2.43613057e+286
 Inf
 Inf
 Inf
 5.53728029e+198
 4.97521798e+269
 7.14294204e+192
 2.64593795e+193
 1.78748855e+283
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327640e+03
 2.51331171e+03
 2.51330687e+03
 2.51334726e+03
 2.51333059e+03
 2.51335217e+03
 2.51337035e+03
 2.51336850e+03
 2.51341912e+03
 2.51337982e+03
 2.51352422e+03
 2.51344518e+03
 2.51341239e+03
 2.51354450e+03
 2.51341239e+03
 2.51347607e+03
 2.51357641e+03
 2.50677117e+03
 2.51345860e+03
 2.51342992e+03
 2.51339730e+03
 2.51330869e+03
 2.51334779e+03
 2.51349809e+03
 2.51358522e+03
 2.51355917e+03
 2.51358190e+03
 2.51378229e+03
 2.51364799e+03
 2.51352721e+03
 2.51365287e+03
 2.51370211e+03
 2.51363833e+03
 2.51367774e+03
 2.51356989e+03
 2.51331939e+03
 2.51329032e+03
 2.51351829e+03
 2.51348785e+03
 2.51339730e+03
 2.51346811e+03
 2.51332024e+03
 2.51329548e+03
 2.51332687e+03
 2.51339521e+03
 2.51331486e+03
 2.51328461e+03
 2.51349998e+03
 2.51350482e+03
 2.51352026e+03
 2.51349434e+03
 2.51331133e+03
 2.51327830e+03
 2.51328126e+03
 2.51370863e+03
 2.51380526e+03
 2.51336608e+03
 2.51330981e+03
 2.51330405e+03
 2.51334565e+03
 2.51346376e+03
 2.51340581e+03
 2.51328143e+03
 2.51334198e+03
 2.51346289e+03
 2.51331772e+03
 2.51329548e+03
 2.51334459e+03
 2.51334780e+03
 2.51345689e+03
 2.51355811e+03
 2.51368664e+03
 2.51348238e+03
 2.51332240e+03
 Inf
 1.20884743e+179
 1.08486148e+190
 2.78574233e+202
 5.08595650e+212
 Inf
 Inf
 7.90195646e+296
 2.47032624e+188
 8.80295063e+207
 2.19048558e+152
 6.92351636e+126
 7.27988501e+140
 6.56935024e+173
 9.38885559e+169
 1.00866509e+168
 1.51705351e+137
 7.74119075e+115
 5.12064286e+140
 1.48993058e+163
 3.84080767e+150
 7.34911209e+146
 1.12466132e+218
 6.00317248e+221
 2.51327456e+03
 Inf
 3.49926974e+156
 1.07931107e+190
 4.96492290e+269
 Inf
 Inf
 3.80161570e+200
 1.02631716e+261
 4.89023276e+223
 1.28230426e+273
 1.94973021e+305
 Inf
 2.51327983e+03
 4.14327204e+262
 3.88551900e+150
 4.82490008e+245
 Inf
 Inf
 3.41508747e+215
 5.09666113e+212
 2.17943578e+178
 2.44726618e+184
 9.19378340e+161
 7.68172051e+145
 2.74097960e+259
 4.23750121e+246
 1.00445094e+194
 4.10437298e+207
 1.15959292e+135
 4.47752953e+168
 4.69567497e+204
 4.43883363e+176
 1.28438750e+130
 2.31548068e+98
 2.10952304e+196
 Inf
 1.35492095e+285
 4.24941708e+246
 2.29745640e+254
 5.84137595e+244
 2.73144246e+198
 2.12364287e+182
 2.32577069e+256
 4.44724287e+205
 1.02065738e+159
 3.28043735e+139
 6.06245689e+155
 Inf
 Inf
 2.03243202e+223
 2.13056944e+90
 3.90214906e+95
 1.36282629e+133
 1.09202268e+103
 1.86820041e+108
 5.39567788e+95
 1.87966395e+157
 5.63108589e+174
 6.50756181e+108
 1.70556001e+150
 8.47898498e+196
 6.57127157e+201
 3.90292324e+234
 2.19650850e+152
 1.16257372e+150
 8.97186288e+199
 7.44543210e+165
 1.49877103e+163
 8.90893931e+206
 2.39497273e+252
 1.62878207e+189
 2.05215977e+171
 1.04743472e+221
 1.35570109e+173
 5.65042732e+174
 Inf
 Inf
 Inf
 1.62850599e+227
 1.98420931e+288
 8.04231903e+172
 3.43640020e+171
 Inf
 Inf
 1.58741309e+170
 1.00868505e+168
 2.55916840e+164
 7.96893569e+135
 3.12348330e+186
 1.71866056e+225
 3.91096723e+159
 7.96225269e+135
 2.01042236e+100
 4.24101617e+108
 2.91763558e+132
 4.68085566e+104
 3.40251760e+101
 3.83982905e+82
 3.80188594e+87
 9.10736044e+71
 1.58960667e+61
 7.38904691e+90
 1.15981987e+118
 3.09919473e+130
 6.73811144e+128
 1.48971496e+110
 1.52645160e+108
 6.30751485e+131
 1.18841166e+128
 1.01109134e+133
 1.06971947e+147
 2.16860160e+132
 1.20776675e+171
 3.15334523e+186
 3.74796618e+167
 1.60136085e+132
 1.06745634e+125
 2.45128648e+159
 5.76283694e+171
 6.46738731e+179
 5.03879102e+185
 3.86308168e+115
 1.18518146e+100
 1.28426333e+121
 3.20013205e+105
 7.49634991e+102
 5.07605332e+118
 7.75584287e+136
 2.58254860e+155
 2.73469387e+235
 2.32860197e+253
 3.84112335e+178
 2.43626447e+188
 2.58666923e+226
 1.59896702e+264
 2.54157759e+251
 1.35993240e+173
 1.44956109e+152
 5.70776833e+202
 2.54035975e+116
 3.71334802e+111
 2.58111273e+193
 2.61724351e+170
 2.46779935e+203
 7.50419322e+168
 7.40759162e+165
 6.91066070e+243
 6.21674631e+218
 1.44862387e+219
 2.28766021e+254
 2.92303235e+73
 2.00682859e+76
 1.92118795e+98
 1.82486579e+110
 1.19515532e+90
 3.52823967e+78
 2.08827319e+239
 1.58575918e+292
 2.51327456e+03
 2.51338440e+03
 2.51329434e+03
 Inf
 4.16710879e+276
 5.57510963e+264
 6.77778184e+265
 6.50671991e+180
 Inf
 Inf
 2.51328143e+03
 2.51329880e+03
 2.51327460e+03
 2.51327669e+03
 2.51327490e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327465e+03
 2.51327420e+03
 Inf
 Inf
 2.51329491e+03
 2.51331406e+03
 2.51329491e+03
 2.51331366e+03
 2.51339870e+03
 2.51342064e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.08468563e+221
 3.98436129e+144
 1.07182423e+248
 Inf
 8.92326970e+298
 1.38304795e+193
 5.30423238e+108
 4.65307314e+131
 1.40510667e+222
 2.23500881e+239
 2.30206031e+255
 5.43732730e+306
 2.97636558e+249
 6.76405953e+265
 Inf
 Inf
 Inf
 Inf
 1.07049260e+287
 Inf
 Inf
 Inf
 Inf
 4.42742709e+282
 4.14618071e+137
 4.41980775e+184
 Inf
 1.22518811e+203
 9.10993517e+209
 Inf
 9.92344155e+278
 3.88916555e+289
 4.37910561e+282
 Inf
 Inf
 Inf
 Inf
 9.92662932e+248
 2.10500599e+205
 Inf
 Inf
 Inf
 9.79318868e+210
 6.71875309e+178
 7.43112182e+283
 Inf
 2.48521599e+278
 1.01768484e+228
 7.46091675e+252
 1.02385161e+306
 Inf
 Inf
 Inf
 Inf
 1.05694811e+276
 2.31417399e+173
 6.13953057e+167
 Inf
 2.51328742e+03
 2.51327555e+03
 Inf
 Inf
 Inf
 2.51337661e+03
 Inf
 1.97891939e+209
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329849e+03
 Inf
 1.09746463e+165
 6.72529068e+197
 8.11150437e+156
 2.85336567e+151
 8.33625469e+258
 Inf
 Inf
 Inf
 2.51897929e+271
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.23520567e+158
 4.26331839e+282
 2.51327507e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329696e+03
 2.51327420e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327456e+03
 Inf
 Inf
 1.46404075e+222
 2.16685397e+127
 3.24613478e+152
 2.40132569e+243
 3.16542996e+284
 Inf
 3.34888060e+174
 5.62008214e+75
 5.53813699e+70
 3.40175866e+110
 1.19666069e+109
 2.49847760e+116
 1.20175271e+110
 1.99167986e+101
 1.26984344e+126
 2.25712026e+173
 4.15922810e+59
 1.21316984e+50
 4.83628373e+87
 1.18377251e+92
 4.05333087e+101
 1.00969177e+111
 1.52251905e+106
 4.60129104e+111
 5.84936873e+101
 4.07273705e+106
 3.16427693e+116
 1.06060573e+99
 4.79756069e+77
 2.35996416e+70
 4.21517572e+84
 2.76617138e+86
 1.14414673e+79
 1.31894017e+87
 8.11251539e+100
 3.90991091e+101
 3.42945819e+62
 1.16666633e+69
 3.41491624e+142
 5.86403561e+153
 5.26635557e+129
 2.56888458e+140
 4.65718687e+204
 7.45014796e+165
 1.18146790e+139
 1.51237155e+115
 1.27530481e+80
 8.02835934e+77
 2.71001566e+93
 1.00265950e+91
 1.19230374e+81
 2.09861682e+81
 4.95765338e+87
 1.36579265e+90
 3.19425785e+90
 3.79684743e+98
 2.34982862e+93
 1.89557537e+60
 1.17141180e+67
 6.67623139e+177
 Inf
 2.51329666e+03
 2.51327612e+03
 Inf
 7.48067679e+292
 3.46297379e+148
 1.82943403e+109
 7.41004396e+106
 2.80054521e+110
 1.89394607e+114
 3.32434035e+112
 4.81595173e+100
 6.53828978e+90
 4.49226905e+92
 8.23256517e+107
 2.09789498e+99
 2.74824104e+74
 7.72640432e+82
 1.97083659e+101
 5.02627690e+93
 2.71739170e+94
 8.88285382e+98
 3.69490848e+119
 7.92520959e+108
 3.72372829e+94
 7.43815136e+87
 2.46756679e+76
 1.08292399e+69
 4.81147026e+78
 2.22644628e+106
 5.37606104e+123
 9.75909500e+108
 6.04010142e+96
 8.35372581e+101
 1.90971719e+88
 6.16972818e+84
 2.72453819e+109
 1.16424758e+139
 3.13512471e+118
 2.16687717e+135
 1.01914503e+111
 8.53531997e+80
 9.70263629e+88
 2.95807789e+111
 5.23113421e+108
 1.99782886e+100
 2.15144388e+135
 4.68351042e+104
 6.03675128e+97
 6.27922878e+131
 6.97977950e+94
 1.54480964e+91
 7.84789439e+108
 5.11920191e+97
 9.52355158e+113
 1.37347515e+133
 6.07335482e+96
 1.05858115e+82
 1.26545852e+88
 7.42102775e+87
 1.24601582e+99
 1.67674061e+126
 3.77933017e+114
 7.19513245e+117
 3.66154650e+200
 Inf
 8.95328577e+207
 5.61612926e+195
 1.19444912e+203
 3.66247356e+145
 2.59195221e+170
 8.80847414e+208
 1.17299514e+150
 8.51360811e+188
 Inf
 2.51332240e+03
 Inf
 Inf
 Inf
 2.51328884e+03
 Inf
 Inf
 2.51327711e+03
 1.65627577e+292
 2.67576686e+193
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.26060871e+218
 2.71895322e+191
 7.18832876e+254
 Inf
 Inf
 Inf
 1.39574945e+97
 2.15622415e+105
 7.22715834e+256
 Inf
 2.51331210e+03
 Inf
 2.54442133e+271
 Inf
 Inf
 1.24335975e+142
 1.67784759e+101
 2.57175305e+87
 9.98685814e+112
 6.40410310e+201
 7.33238162e+154
 3.65331511e+121
 7.29130316e+146
 2.50145219e+145
 3.50409250e+117
 4.21026218e+26
 5.46490963e+27
 1.20920872e+152
 7.43410311e+168
 9.19591272e+139
 5.77146231e+111
 1.72210016e+122
 8.29416234e+134
 1.39655064e+131
 2.40261325e+115
 1.90248516e+97
 5.17315556e+102
 8.31775265e+118
 7.92386280e+108
 6.13692086e+124
 1.91367856e+118
 1.31371616e+56
 6.69557148e+50
 1.74644645e+83
 2.07192808e+75
 2.21320491e+71
 4.52843697e+95
 8.08591447e+94
 8.69043742e+90
 2.07207416e+95
 2.38377187e+91
 4.32495024e+94
 7.52932856e+90
 2.49345696e+88
 1.01503359e+96
 1.46478065e+105
 1.34711139e+107
 6.94474311e+105
 9.93049620e+99
 4.79747035e+100
 3.60104679e+121
 2.50789255e+116
 3.60568234e+102
 7.66192153e+91
 1.40100730e+96
 2.84819744e+95
 1.68128137e+85
 1.84954105e+133
 1.96363727e+223
 6.12776534e+159
 6.35287018e+143
 8.45849690e+175
 1.24797507e+157
 1.62341612e+149
 7.32103622e+140
 7.46575169e+106
 9.55665101e+113
 3.81236471e+115
 8.27615290e+134
 9.81262309e+163
 3.04566154e+107
 4.11078951e+135
 2.82158505e+224
 5.31307360e+129
 Inf
 Inf
 1.93567873e+133
 7.39496369e+168
 3.64675017e+304
 5.05328957e+269
 6.69963728e+173
 7.38130967e+146
 4.65887860e+172
 7.45168295e+148
 1.90324066e+151
 1.21878605e+124
 3.83587537e+159
 1.02046002e+212
 2.05937029e+181
 7.93283514e+219
 2.22524240e+156
 7.46237446e+132
 2.29209959e+147
 8.94661973e+111
 1.10684780e+84
 6.75440988e+104
 2.46769426e+145
 3.79464613e+114
 4.56629080e+139
 1.34993537e+303
 2.02614671e+223
 1.44815322e+156
 5.40314523e+198
 Inf
 2.15920970e+217
 8.90034696e+249
 2.57983302e+281
 Inf
 Inf
 Inf
 2.15758189e+233
 2.80279342e+259
 Inf
 8.73830256e+196
 1.11467843e+158
 3.27619858e+293
 Inf
 Inf
 6.82325108e+270
 8.36364935e+222
 4.91111182e+245
 1.80605132e+283
 9.34115162e+259
 3.89771036e+279
 3.03169041e+242
 Inf
 Inf
 2.51330580e+03
 2.51337096e+03
 2.51334725e+03
 2.51329241e+03
 Inf
 Inf
 2.51327429e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 1.07839342e+221
 1.19915323e+203
 Inf
 7.44890448e+154
 3.88026406e+153
 Inf
 1.63737906e+227
 8.37785432e+266
 9.14780316e+199
 1.43263005e+222
 2.68594982e+275
 3.74185205e+297
 4.00726057e+262
 1.36382609e+202
 1.92457927e+305
 8.63962539e+242
 1.09493486e+190
 Inf
 Inf
 3.74418640e+247
 4.50613049e+199
 2.50762014e+221
 1.92815940e+209
 5.46176796e+198
 4.84698794e+223
 Inf
 Inf
 Inf
 1.50187461e+234
 Inf
 Inf
 4.28680891e+206
 1.59305122e+264
 3.17505384e+284
 3.34196177e+174
 1.45808651e+162
 1.01856554e+133
 1.06531068e+165
 1.79879620e+270
 5.13043773e+212
 8.31666646e+144
 3.74367595e+119
 5.65690430e+137
 1.47932137e+185
 8.57803456e+150
 1.69316281e+153
 1.89816089e+207
 5.93056734e+153
 1.19315105e+145
 3.87035602e+190
 4.42945438e+176
 3.89654758e+153
 5.71561204e+150
 9.65806856e+113
 1.38586854e+191
 Inf
 Inf
 4.47528560e+282
 3.75592981e+160
 1.31664063e+144
 3.44240321e+146
 1.01007185e+159
 4.11607667e+164
 7.05435357e+177
 2.03467755e+180
 3.65148358e+145
 5.67867802e+130
 4.82179700e+217
 7.04625413e+224
 4.77157556e+121
 9.55360450e+174
 1.74229683e+216
 2.18951917e+132
 2.47473199e+142
 6.48718389e+139
 1.01550405e+113
 1.17900394e+98
 1.56672279e+103
 6.78502595e+83
 9.38199879e+81
 2.22389040e+161
 1.89794277e+144
 9.98476016e+82
 1.12259479e+86
 6.07211747e+124
 6.68175055e+127
 1.25053660e+108
 7.58552488e+130
 1.50083974e+118
 4.74481169e+114
 5.54533637e+125
 1.17435246e+118
 8.08841359e+124
 3.42415440e+146
 2.72937033e+144
 3.38183863e+156
 1.73379511e+216
 9.25150652e+216
 3.41932434e+169
 2.17729736e+132
 2.80388185e+120
 7.76027209e+136
 1.22806034e+183
 6.69007859e+178
 3.39200355e+147
 2.38790866e+163
 2.69502028e+198
 1.05361825e+221
 2.89435593e+214
 2.65577378e+218
 8.21446912e+184
 6.17962166e+163
 Inf
 Inf
 5.03448732e+175
 3.44802447e+101
 4.35369633e+96
 7.32953265e+132
 2.73292008e+124
 7.53224745e+114
 5.67608694e+88
 1.65335590e+101
 1.24700694e+106
 8.70366441e+95
 8.22615287e+104
 5.93343311e+94
 9.50110838e+92
 1.59193932e+83
 3.87758874e+77
 1.01488325e+77
 2.43440905e+85
 6.88618934e+94
 3.29410709e+95
 8.39400291e+97
 8.25058087e+107
 1.59832601e+127
 4.36858069e+94
 3.16036598e+86
 1.01144733e+104
 2.76322605e+91
 4.61193231e+85
 1.12387949e+86
 1.15115413e+97
 2.72066220e+94
 6.39123848e+108
 5.38094463e+123
 6.09674407e+106
 1.99667114e+100
 8.33033527e+99
 3.69479943e+90
 5.50228986e+72
 4.75001121e+77
 1.14957814e+91
 8.39589517e+103
 8.32442645e+122
 7.43783344e+106
 1.89199031e+103
 1.34625925e+107
 4.26730359e+170
 Inf
 7.16267563e+99
 1.93626635e+69
 2.10610395e+82
 1.82521531e+123
 3.10620724e+154
 7.25695648e+170
 9.17030190e+216
 1.13724349e+213
 3.75671608e+200
 1.12994696e+153
 2.93811026e+122
 4.80360836e+133
 2.95464809e+157
 2.92732810e+136
 2.14935734e+112
 1.26340700e+94
 1.92262463e+111
 9.38264449e+159
 1.38880500e+167
 9.19326186e+139
 1.24004325e+134
 6.69805808e+127
 3.48598084e+110
 6.84981140e+126
 7.41266977e+132
 1.20655477e+110
 4.29538590e+110
 4.98069406e+106
 1.40807563e+96
 7.64601014e+115
 1.55555607e+148
 1.03622050e+131
 6.46845904e+139
 7.40257306e+152
 1.12687983e+218
 1.61387130e+296
 5.42215427e+301
 Inf
 Inf
 8.23290056e+232
 2.51331486e+03
 2.51344767e+03
 2.78807605e+193
 1.24057976e+178
 1.59307423e+164
 1.73667616e+165
 2.55777303e+164
 3.87703068e+159
 2.18153914e+121
 1.63819971e+168
 Inf
 2.83059958e+202
 1.98208869e+206
 1.90075275e+208
 7.69043470e+296
 Inf
 2.51074274e+271
 1.63719671e+229
 4.19621576e+209
 1.35378702e+173
 1.11946449e+146
 2.66784218e+158
 1.40824323e+191
 7.30863897e+170
 3.88178759e+159
 7.02687387e+192
 7.31585355e+142
 5.73868466e+171
 1.04990097e+268
 2.33014576e+161
 5.92341714e+93
 3.76416700e+84
 1.23804926e+106
 5.79852100e+103
 6.34244428e+98
 1.01651345e+122
 9.11682136e+126
 8.10889815e+124
 5.14713365e+166
 2.44135790e+184
 1.50373940e+163
 5.56797405e+195
 8.06835997e+238
 2.84167866e+165
 2.30148919e+161
 1.70786139e+225
 1.70995245e+197
 7.96927243e+172
 6.86298885e+182
 9.31051733e+205
 Inf
 8.62068718e+258
 2.43285760e+149
 6.13618783e+163
 8.03085415e+232
 4.97903597e+175
 7.47210310e+256
 2.51327435e+03
 Inf
 1.19343909e+132
 1.10002533e+158
 4.46091707e+287
 6.59255117e+214
 7.44445656e+125
 6.65628566e+91
 3.82163771e+104
 5.09752974e+140
 3.42525068e+79
 3.66485772e+90
 1.18309578e+171
 5.83502787e+186
 9.66949705e+151
 1.38717437e+133
 6.18081932e+124
 3.94156959e+95
 1.09818938e+112
 1.06905208e+119
 1.18077979e+98
 2.24749166e+106
 1.68354837e+117
 2.49725850e+99
 1.72965731e+87
 3.02055241e+82
 3.86592959e+89
 1.01637974e+85
 4.32574529e+96
 1.46419370e+143
 3.59353115e+124
 1.79192581e+105
 7.70845551e+120
 8.23805592e+92
 5.54256045e+76
 9.64895108e+87
 1.45401399e+86
 1.85956269e+72
 4.33260470e+78
 7.02603304e+111
 6.08273765e+115
 5.23756486e+108
 4.68374436e+86
 5.44528911e+84
 1.50778998e+95
 5.46135814e+82
 6.47319858e+74
 7.46497904e+76
 9.99339605e+75
 1.23826021e+99
 2.77465640e+120
 6.80803264e+85
 3.38299806e+79
 9.18235323e+93
 4.19411826e+81
 1.18710297e+72
 9.96991275e+75
 4.46659623e+71
 1.86334937e+81
 8.64151922e+90
 2.94094856e+99
 3.68953254e+91
 2.22783218e+89
 1.10176631e+93
 1.01695704e+96
 1.51466576e+106
 6.49265898e+88
 1.10153120e+93
 7.48863715e+98
 4.06404489e+101
 3.69561475e+111
 1.01351967e+120
 1.16648391e+132
 1.26232977e+99
 7.38461716e+106
 1.70391474e+145
 2.56227728e+131
 5.25749282e+108
 1.01488137e+108
 9.47691129e+151
 2.03813412e+169
 3.19258829e+166
 4.17203286e+158
 1.69594855e+153
 1.51305697e+137
 6.12290315e+113
 5.98719170e+159
 1.35749125e+193
 2.21799284e+156
 3.53985070e+133
 8.92064268e+127
 1.60844920e+127
 1.14371087e+135
 3.70030440e+187
 1.04461487e+141
 2.39819696e+114
 2.23949621e+122
 6.49223832e+116
 3.38962742e+100
 2.93520729e+87
 2.07504383e+75
 7.96935541e+73
 3.92758768e+103
 6.06685782e+113
 1.06189664e+125
 8.09986211e+112
 7.14627877e+97
 7.68066887e+149
 3.75192960e+194
 1.70556821e+120
 2.24037580e+109
 1.21396703e+183
 1.33051675e+241
 3.99123451e+144
 1.81278229e+104
 1.46971896e+143
 2.45492616e+118
 5.53546824e+107
 6.33191589e+179
 1.34380373e+184
 1.07463024e+148
 2.42992221e+184
 1.93248537e+174
 7.99401960e+137
 2.74843687e+117
 7.48463963e+87
 2.01918619e+83
 1.02893054e+90
 7.35657944e+106
 3.87071364e+105
 1.64615783e+107
 1.84755862e+123
 1.48046601e+143
 2.01795750e+180
 1.49208822e+109
 6.81949194e+76
 6.65911055e+78
 4.80828593e+80
 2.73877144e+91
 6.07824798e+119
 3.77307627e+114
 3.87944021e+105
 3.70091595e+111
 5.33422766e+83
 4.07922060e+86
 2.40192423e+90
 2.29014481e+75
 6.26292596e+98
 3.15481803e+116
 9.87407186e+96
 1.64843797e+96
 5.31556981e+86
 1.25261938e+94
 3.21143542e+98
 1.25830824e+94
 4.06610467e+85
 3.73442811e+69
 1.69689799e+70
 1.10596085e+89
 9.08220193e+117
 1.08494759e+94
 1.36909718e+90
 1.18500669e+92
 2.20873204e+80
 4.33780594e+87
 8.11446839e+100
 2.14878653e+86
 7.08042973e+97
 2.70160931e+124
 5.40766239e+123
 4.13582182e+123
 3.00784483e+102
 1.25269290e+111
 2.92036335e+132
 9.62416141e+113
 1.49164488e+99
 2.48419668e+99
 2.30200992e+84
 1.01694427e+87
 3.15141056e+125
 2.17159127e+135
 5.01066160e+106
 1.55655943e+111
 2.51332417e+03
 2.51551308e+03
 2.51612111e+03
 2.51560011e+03
 2.51355705e+03
 Inf
 6.39432905e+280
 1.36605899e+202
 2.28577386e+212
 5.17731508e+203
 1.28034760e+113
 2.80745406e+128
 1.90701776e+157
 3.63281015e+120
 4.67212335e+131
 1.53347258e+292
 2.74327884e+198
 6.17551209e+113
 7.87020304e+135
 3.77466118e+128
 2.76631312e+109
 7.45053976e+88
 3.64821184e+74
 1.44493654e+86
 3.43105913e+108
 3.01376382e+115
 8.27585399e+134
 7.23818887e+142
 7.94267299e+119
 8.36974437e+122
 8.33202487e+138
 6.60706165e+164
 1.49849032e+163
 2.54223599e+176
 3.57218575e+149
 7.19194382e+111
 6.47240765e+116
 3.14509116e+166
 1.26449090e+273
 6.76157130e+178
 7.98666872e+135
 8.40404899e+122
 3.12550047e+97
 6.60795581e+91
 Inf
 4.42616670e+282
 1.22642523e+114
 1.88325632e+151
 2.51342929e+99
 3.66376534e+97
 3.13649397e+123
 3.29907888e+88
 3.32679793e+81
 2.52031892e+133
 7.91721513e+135
 1.01160969e+102
 1.50336082e+114
 1.57664931e+128
 1.21172230e+127
 1.85896799e+123
 6.16511057e+124
 9.96535664e+167
 5.28939570e+149
 1.13973558e+181
 9.53579390e+210
 4.76108656e+124
 1.58676971e+132
 2.04957889e+179
 1.45103342e+152
 1.74179046e+142
 2.92720957e+137
 1.17754106e+118
 1.02360923e+122
 1.94064995e+111
 1.39319043e+98
 4.68742403e+105
 6.12951418e+124
 1.01216600e+113
 1.06302484e+82
 3.37086316e+101
 1.63021301e+139
 1.00534966e+121
 1.03015207e+141
 6.48518280e+139
 8.44850466e+175
 Inf
 Inf
 2.51327427e+03
 Inf
 Inf
 Inf
 Inf
 3.20005261e+284
 3.00014441e+267
 1.99675561e+288
 7.61484703e+256
 Inf
 9.48297216e+185
 1.90404000e+133
 3.00115948e+189
 6.15647861e+167
 Inf
 Inf
 1.77340155e+142
 4.35271113e+205
 1.45284098e+237
 7.47145550e+252
 1.05737074e+282
 Inf
 Inf
 8.51656124e+266
 Inf
 Inf
 Inf
 Inf
 1.26429415e+157
 1.34030206e+117
 1.01010603e+113
 1.27569659e+188
 2.74653209e+185
 2.82295997e+165
 9.15754011e+216
 4.66495835e+211
 3.24406890e+125
 2.08021660e+124
 5.70088143e+90
 1.15890200e+75
 6.26177155e+98
 9.12380669e+117
 1.02827651e+131
 7.62675966e+145
 7.42243946e+168
 5.10704547e+193
 2.41732166e+149
 3.99426570e+70
 6.52338483e+55
 5.56356612e+87
 4.05116243e+158
 7.43513323e+152
 5.18993383e+166
 3.79470678e+178
 1.59213544e+135
 1.48754757e+163
 9.81896930e+45
 3.54164857e+39
 1.13560200e+82
 3.49444556e+77
 3.13485966e+85
 1.88313246e+97
 2.86156747e+88
 5.96057170e+45
 3.09234834e+54
 1.09139524e+150
 2.91857664e+119
 1.25933814e+111
 1.47427895e+163
 2.48692473e+221
 1.18638263e+132
 4.83907457e+115
 7.19588496e+147
 6.01164760e+114
 3.11949965e+97
 9.46171997e+94
 2.59320044e+65
 2.40295160e+71
 3.14987625e+91
 1.36791525e+90
 3.57379244e+102
 1.55336175e+116
 1.40969497e+33
 1.26411422e+34
 3.38253579e+107
 7.49332835e+75
 1.66642856e+81
 2.62830299e+112
 6.07314536e+121
 1.37180400e+97
 5.22649802e+92
 8.00782333e+124
 1.98107998e+116
 3.47580833e+110
 2.49708634e+102
 1.16405550e+101
 7.87987373e+108
 6.63054674e+91
 1.14628481e+79
 9.69103092e+83
 3.14423121e+85
 2.93204174e+89
 2.79763786e+127
 3.63114799e+140
 1.01425883e+133
 1.28806909e+140
 1.65145842e+139
 1.00309289e+98
 1.97259250e+87
 5.88575546e+89
 4.29213382e+102
 5.95569547e+159
 4.06111697e+208
 7.16788689e+123
 6.45175468e+108
 2.31216271e+134
 1.51666658e+136
 2.33799001e+160
 3.28977204e+174
 1.93486331e+194
 1.98738957e+210
 2.21834619e+199
 4.77845711e+83
 1.04931273e+75
 2.30718167e+94
 3.14873378e+116
 4.68498021e+124
 5.24953719e+108
 1.38062370e+246
 1.00025919e+192
 9.67662049e+151
 1.19955013e+166
 1.74309518e+122
 6.52742801e+173
 2.50017263e+251
 3.41882566e+147
 5.74593264e+135
 2.29839754e+177
 2.03446983e+180
 2.46895099e+118
 1.42976852e+152
 Inf
 6.55372891e+180
 6.91054770e+104
 4.66584173e+124
 1.06687167e+187
 6.75701885e+197
 2.33026130e+177
 1.93602562e+194
 8.00274481e+135
 2.18207674e+85
 3.28593776e+112
 2.80687036e+128
 5.98901395e+63
 1.47789705e+76
 Inf
 Inf
 Inf
 4.14896665e+216
 4.76833296e+121
 6.76032189e+182
 1.54437359e+280
 9.50495409e+162
 4.86620784e+115
 1.55408114e+91
 2.61023941e+105
 2.79944520e+128
 4.31630213e+110
 9.64777838e+125
 2.23806731e+126
 7.61609444e+145
 1.71541978e+158
 1.69752951e+120
 7.52389909e+114
 3.03923770e+143
 1.65276299e+139
 2.96387822e+141
 1.29082304e+140
 Inf
 1.62094826e+264
 1.49747424e+94
 1.24362786e+106
 1.10984782e+95
 7.04157551e+92
 5.58005030e+130
 2.49107949e+145
 1.07312596e+147
 4.38885439e+176
 7.38513353e+183
 7.42749162e+165
 1.57681766e+147
 1.92709060e+88
 4.82684795e+80
 9.39470734e+94
 2.36953404e+101
 1.28495417e+121
 1.81277206e+140
 3.69987245e+97
 4.42943775e+74
 3.17085373e+90
 1.63592104e+98
 2.80921012e+108
 2.74779701e+106
 1.17684281e+98
 1.01618953e+122
 1.29397601e+121
 2.27323339e+110
 3.70571893e+90
 2.05905918e+91
 2.97757637e+102
 6.41131601e+108
 5.38095019e+123
 1.71961774e+112
 1.05942975e+99
 3.34037592e+95
 1.00066608e+102
 2.48923626e+92
 7.92615586e+84
 2.27400991e+83
 1.64905642e+101
 1.17334392e+145
 5.01961290e+106
 2.07820898e+102
 6.24425856e+143
 1.94794624e+166
 4.17168406e+123
 1.90612988e+97
 2.80886503e+127
 8.04939630e+184
 3.90160628e+153
 2.92516874e+136
 2.48472905e+113
 3.25143909e+61
 4.02284372e+66
 5.83469051e+134
 8.90264144e+135
 1.84924096e+125
 5.54491870e+107
 1.36692894e+97
 2.40471370e+125
 2.09210143e+137
 1.58685460e+128
 5.57816711e+169
 2.66989494e+230
 3.27937174e+98
 1.06697889e+81
 2.76842432e+110
 1.89401271e+157
 9.35646004e+169
 1.22168368e+127
 1.61579598e+129
 1.56258423e+148
 1.48407329e+185
 1.47428645e+215
 Inf
 5.95156506e+186
 3.67419296e+140
 7.41146009e+168
 3.88037560e+159
 4.55468545e+165
 1.51646694e+137
 7.35122647e+165
 3.41347175e+222
 1.72149264e+186
 4.58215441e+231
 2.06430809e+181
 1.11580859e+155
 3.78445306e+178
 1.33403357e+177
 1.23709766e+178
 7.98583856e+135
 4.76528628e+114
 3.18210849e+134
 2.22011795e+183
 2.30885013e+161
 1.89711548e+133
 1.68944198e+186
 3.93793958e+262
 5.22673503e+191
 7.07478659e+192
 6.70103070e+178
 2.70449711e+198
 Inf
 Inf
 2.00211008e+194
 6.96053916e+243
 Inf
 Inf
 2.19783508e+300
 7.16001007e+192
 2.87213899e+307
 Inf
 Inf
 Inf
 Inf
 2.51329943e+03
 2.51332825e+03
 Inf
 Inf
 Inf
 Inf
 8.71847404e+196
 1.03631151e+235
 Inf
 4.23099159e+75
 2.63162002e+75
 Inf
 2.27226889e+239
 2.13948110e+217
 5.37971844e+236
 Inf
 2.51327604e+03
 2.51327897e+03
 7.53955172e+254
 3.19104141e+186
 Inf
 4.35597043e+151
 3.67517187e+162
 Inf
 Inf
 Inf
 Inf
 2.51327595e+03
 2.51328608e+03
 Inf
 Inf
 4.11867700e+100
 4.28119647e+110
 4.06561659e+47
 1.50425616e+42
 3.32214491e+234
 Inf
 7.83593943e+290
 3.99035456e+237
 Inf
 Inf
 5.68196913e+264
 Inf
 Inf
 Inf
 2.51327507e+03
 Inf
 2.91955048e+127
 2.28843613e+147
 Inf
 1.45776026e+246
 Inf
 Inf
 Inf
 Inf
 9.30748526e+271
 1.09794427e+190
 4.53221178e+168
 1.24636714e+157
 9.63555876e+248
 Inf
 2.51327419e+03
 7.83020413e+283
 Inf
 Inf
 4.10849572e+276
 Inf
 Inf
 Inf
 5.84868539e+202
 4.09888752e+208
 9.95630020e+191
 1.83967755e+200
 3.31367993e+174
 2.44220258e+271
 Inf
 4.01818221e+237
 3.69305934e+192
 2.38772374e+252
 8.81987525e+298
 5.58824078e+264
 Inf
 Inf
 Inf
 Inf
 2.51327435e+03
 Inf
 4.94687454e+240
 Inf
 Inf
 7.25124293e+224
 2.13532137e+217
 1.31058886e+188
 2.32839373e+148
 2.77693451e+109
 7.72988226e+136
 Inf
 Inf
 Inf
 Inf
 1.12823419e+136
 8.16717851e+94
 4.16437337e+196
 1.99964828e+223
 8.84656463e+44
 5.02897877e+43
 3.33526578e+162
 2.71099094e+165
 3.13959755e+154
 1.11029612e+155
 1.01209853e+159
 9.36016447e+169
 2.17110908e+196
 1.93618052e+174
 1.40825823e+98
 1.25125714e+99
 1.10052768e+174
 1.62846335e+149
 1.16181569e+150
 5.08241919e+193
 7.69301034e+176
 4.94643563e+152
 4.41635191e+134
 4.76402464e+114
 5.14297783e+66
 2.25237938e+83
 4.14252409e+210
 3.16098251e+154
 6.48614630e+158
 6.09024775e+155
 1.23139904e+178
 1.10116785e+196
 1.50496800e+160
 2.40432778e+149
 3.11873380e+113
 3.90587584e+126
 3.83921285e+159
 4.41840253e+143
 1.52969959e+78
 1.85391939e+72
 4.74878927e+77
 2.71124735e+79
 1.02845435e+117
 2.75843844e+109
 3.40751813e+101
 1.09538539e+138
 1.06694879e+165
 8.41362949e+138
 Inf
 1.21062564e+203
 6.17885598e+115
 3.71745416e+119
 Inf
 2.51387398e+03
 2.51375154e+03
 2.51347340e+03
 2.51341611e+03
 2.51344601e+03
 2.51360895e+03
 6.74065530e+74
 1.18427524e+81
 2.51405183e+03
 2.51331982e+03
 Inf
 2.51339246e+03
 2.51389573e+03
 2.51442711e+03
 2.69729336e+65
 3.70973685e+43
 2.51327843e+03
 2.51419466e+03
 2.51370731e+03
 2.51387704e+03
 2.51398831e+03
 2.51378371e+03
 2.51404134e+03
 2.51392105e+03
 2.51338439e+03
 2.50928187e+03
 2.51365287e+03
 2.51368666e+03
 2.51366396e+03
 2.51370863e+03
 2.51381835e+03
 2.51386173e+03
 2.51393716e+03
 2.51413828e+03
 2.51386019e+03
 2.51352422e+03
 2.51343787e+03
 2.51359641e+03
 2.51336132e+03
 2.51341536e+03
 2.51371785e+03
 2.51338374e+03
 2.51349434e+03
 2.51378371e+03
 2.51377908e+03
 2.51370210e+03
 2.51375295e+03
 2.51341611e+03
 2.51344109e+03
 2.51351243e+03
 2.51339870e+03
 2.51371785e+03
 2.51399168e+03
 2.51377241e+03
 2.51391627e+03
 2.51406239e+03
 2.51378940e+03
 2.51374749e+03
 2.51370994e+03
 2.51386172e+03
 2.51404135e+03
 2.51388169e+03
 2.51360780e+03
 2.51357315e+03
 2.51362643e+03
 2.51375159e+03
 2.51376546e+03
 2.51363116e+03
 2.51406592e+03
 2.51517848e+03
 2.51338112e+03
 Inf
 2.51401031e+03
 2.50324280e+03
 2.51403093e+03
 2.51427848e+03
 2.51445071e+03
 2.51445963e+03
 2.51459964e+03
 2.51429047e+03
 2.51397826e+03
 2.51348238e+03
 Inf
 Inf
 2.51333346e+03
 Inf
 Inf
 1.59054061e+277
 1.10793453e+199
 2.99835447e+126
 2.91529206e+137
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.77878559e+304
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.09181038e+190
 1.04860325e+230
 1.33509614e+285
 8.17098304e+238
 1.61525803e+227
 4.01353941e+155
 1.55792429e+170
 2.10745173e+300
 3.99371738e+237
 2.51327438e+03
 2.51362407e+03
 2.51340799e+03
 2.51341237e+03
 2.51343149e+03
 2.51353936e+03
 2.51344601e+03
 2.51333249e+03
 2.51332506e+03
 2.51330202e+03
 2.51333690e+03
 2.51331249e+03
 2.51331018e+03
 2.51333106e+03
 2.51334302e+03
 2.51339452e+03
 2.51328362e+03
 2.51328860e+03
 2.51341611e+03
 2.51332240e+03
 2.51328481e+03
 2.51327484e+03
 Inf
 2.51327413e+03
 2.51330007e+03
 Inf
 2.51328061e+03
 2.51334250e+03
 2.51327416e+03
 Inf
 2.51334888e+03
 2.51333443e+03
 2.51347876e+03
 2.51974201e+03
 2.51800989e+03
 2.51670864e+03
 2.52607722e+03
 2.51977712e+03
 2.51571997e+03
 2.51404484e+03
 2.51370864e+03
 2.51476715e+03
 2.51454293e+03
 2.51442284e+03
 2.51429249e+03
 2.51370340e+03
 2.51378653e+03
 2.51414569e+03
 2.51425278e+03
 2.51409448e+03
 2.51327420e+03
 2.68944507e+258
 Inf
 4.53733550e+220
 1.61472977e+296
 Inf
 Inf
 Inf
 Inf
 7.89018816e+296
 4.36208601e+299
 Inf
 Inf
 2.15505019e+233
 1.19836336e+232
 Inf
 Inf
 Inf
 Inf
 4.08290404e+216
 5.15020145e+193
 Inf
 Inf
 5.61632536e+264
 2.73635013e+302
 Inf
 Inf
 Inf
 2.84863991e+235
 2.13185659e+136
 9.19076810e+205
 Inf
 Inf
 6.12748707e+221
 1.35581551e+173
 9.73231114e+171
 5.04750811e+148
 2.15907162e+196
 Inf
 Inf
 1.36480170e+241
 1.39189752e+303
 1.04801116e+276
 1.06456928e+221
 Inf
 Inf
 5.54834641e+198
 9.22500698e+216
 1.05694868e+221
 4.12222511e+207
 4.20438638e+246
 3.34991495e+293
 6.75923816e+270
 Inf
 1.82454886e+283
 2.27376996e+183
 5.55711271e+54
 1.13985921e+60
 2.38682000e+302
 1.44973852e+246
 3.38360492e+215
 4.19949552e+135
 4.04481291e+116
 3.18422280e+134
 3.57582020e+180
 7.21292705e+253
 1.17500367e+262
 2.00748240e+236
 2.11872863e+211
 2.29957360e+173
 9.87498887e+173
 2.51345860e+03
 2.51346472e+03
 4.14889600e+289
 1.70064856e+245
 1.06631177e+242
 Inf
 6.48439101e+228
 3.11684734e+232
 1.95279289e+194
 1.46269088e+162
 1.10201695e+136
 4.84327265e+115
 3.50398358e+133
 1.62500579e+172
 4.68556032e+172
 2.81675341e+165
 9.35453653e+155
 3.72367967e+187
 1.23422345e+247
 7.07496193e+224
 Inf
 Inf
 4.27251445e+246
 2.26889251e+204
 4.12331890e+229
 8.78575490e+298
 2.39228782e+266
 7.56090144e+283
 1.69970794e+245
 4.85450189e+273
 9.76558037e+278
 2.44962683e+286
 Inf
 Inf
 6.49675151e+228
 6.60246856e+201
 1.91896806e+207
 6.71540902e+178
 1.04588737e+230
 Inf
 Inf
 1.06270364e+226
 7.51357634e+283
 Inf
 Inf
 2.69155992e+218
 Inf
 Inf
 2.54962236e+221
 7.70021860e+290
 1.39030110e+269
 1.57265039e+308
 Inf
 Inf
 1.85043651e+270
 2.23377342e+199
 9.30601702e+185
 9.04965040e+199
 7.42249316e+252
 2.71709375e+250
 4.75788640e+204
 4.10018096e+208
 Inf
 Inf
 Inf
 2.97208369e+60
 6.04279780e+57
 2.61923644e+195
 3.82144877e+182
 3.38730262e+272
 8.54994911e+258
 8.95481606e+249
 Inf
 5.46033794e+301
 7.75406746e+215
 1.18448729e+182
 9.30903635e+205
 3.66798475e+247
 3.71701279e+304
 Inf
 1.59399958e+280
 1.10190754e+248
 Inf
 5.67113280e+233
 1.91838363e+192
 8.80951379e+207
 7.42465334e+194
 3.23435775e+63
 1.20532009e+64
 1.32937758e+219
 1.03286437e+212
 2.05880408e+171
 5.73642694e+202
 2.59401506e+226
 4.37576318e+210
 3.76003929e+241
 1.00390807e+194
 3.65840440e+145
 5.12551506e+191
 8.50618969e+242
 Inf
 Inf
 4.61102572e+287
 3.47838892e+222
 2.49767737e+159
 4.95943450e+147
 1.57023238e+148
 1.49288417e+163
 7.84340643e+149
 1.80059090e+105
 8.37810111e+101
 1.88783224e+115
 8.22680536e+116
 1.06418011e+147
 8.34674600e+134
 5.20507261e+126
 1.10785876e+146
 1.16774244e+179
 3.29124153e+139
 3.62130899e+161
 2.36770352e+252
 3.68439369e+161
 1.11190830e+155
 7.38293969e+190
 7.01240085e+224
 2.97158259e+225
 7.23998234e+292
 Inf
 3.39777744e+293
 3.89320707e+150
 2.13866100e+143
 9.66517066e+171
 1.63027971e+129
 2.15953287e+132
 5.25009220e+145
 5.74376400e+135
 2.33770039e+160
 3.79536075e+182
 4.79643187e+154
 7.32926128e+140
 1.98815399e+116
 2.14837564e+117
 1.18134574e+145
 2.15112964e+178
 2.09837291e+211
 9.94682175e+204
 1.13500972e+174
 2.57253522e+153
 7.37966020e+190
 Inf
 Inf
 Inf
 6.42019380e+280
 1.29238528e+214
 2.06024886e+169
 1.36059660e+193
 Inf
 2.37527464e+256
 4.35301521e+196
 1.78713203e+298
 Inf
 5.76681518e+174
 6.94828313e+126
 2.09301004e+137
 3.90854028e+129
 1.64314994e+168
 Inf
 Inf
 7.58029774e+168
 2.66926890e+230
 Inf
 Inf
 9.03447099e+298
 3.99322474e+237
 1.40466271e+167
 9.15352315e+143
 1.72840704e+165
 Inf
 5.61406304e+264
 2.07929489e+190
 5.74730185e+189
 1.10650938e+136
 1.21654760e+142
 5.61936340e+136
 1.88764122e+133
 5.05448671e+193
 Inf
 Inf
 4.08723299e+227
 5.08300336e+148
 1.57135115e+147
 3.78235318e+182
 2.28973967e+173
 1.66524158e+175
 5.66044427e+213
 1.57810853e+292
 6.23220367e+277
 Inf
 Inf
 3.46674222e+295
 2.74706444e+302
 3.79629764e+187
 1.64543653e+172
 6.93957172e+172
 3.15410877e+186
 1.77288177e+231
 2.95600552e+238
 4.03757161e+216
 6.72367479e+178
 2.32284388e+177
 4.56436210e+188
 9.75910526e+171
 6.65796855e+164
 6.12929841e+167
 7.34675340e+140
 2.14845534e+178
 1.55120069e+179
 3.69512986e+162
 1.08094770e+190
 1.50505436e+163
 1.27669716e+151
 2.51333346e+03
 2.51336428e+03
 4.26540824e+183
 3.90081102e+153
 2.05874907e+154
 1.04120570e+143
 1.69985137e+117
 4.52012884e+107
 3.87152911e+105
 1.10242193e+112
 2.66340796e+112
 1.55869943e+116
 1.08542742e+149
 4.12782061e+209
 4.87736619e+133
 1.03391331e+106
 1.16067330e+132
 3.70153935e+167
 5.77710617e+161
 1.04269780e+143
 5.67763746e+104
 4.41530582e+117
 7.75307785e+136
 2.52158592e+88
 1.19678832e+89
 5.12126298e+89
 5.24683916e+79
 7.88561875e+84
 4.28924302e+93
 4.92260707e+88
 2.93484452e+84
 9.19045841e+76
 6.65935947e+78
 1.07199660e+103
 6.06048656e+106
 6.93976082e+94
 1.50019064e+82
 8.92205158e+77
 4.16789099e+81
 1.32855284e+82
 5.19468799e+92
 8.84262141e+91
 4.25756208e+84
 6.03828702e+92
 2.64925653e+81
 1.33603132e+82
 4.87718704e+90
 2.85351352e+78
 4.06912694e+86
 3.67687758e+90
 1.48937814e+93
 2.06822349e+102
 5.07291906e+94
 7.46759103e+102
 1.05651635e+99
 5.96210776e+85
 3.57043800e+85
 2.26478449e+96
 1.09355175e+97
 2.44148348e+86
 6.48780941e+87
 4.24943116e+91
 1.94022353e+89
 2.71260621e+94
 4.90355168e+90
 6.80658349e+100
 8.42824395e+103
 8.71550658e+90
 1.65530423e+86
 4.65017800e+86
 4.24922265e+84
 4.56256385e+95
 4.63223744e+104
 8.25152290e+104
 7.84987743e+109
 8.21644848e+92
 8.68406880e+90
 6.05443874e+92
 4.24965088e+90
 2.49322819e+88
 2.59411488e+84
 8.35655708e+97
 1.56661957e+103
 4.83614283e+84
 1.25901910e+126
 1.94307728e+236
 1.50732005e+185
 2.03739235e+180
 1.07405656e+204
 1.91079871e+192
 1.24036827e+178
 4.56501609e+188
 1.14930813e+181
 1.49541447e+185
 4.71271034e+204
 1.07553850e+238
 7.25074324e+254
 1.34043564e+285
 Inf
 7.62687976e+283
 1.58530666e+277
 Inf
 Inf
 Inf
 Inf
 7.28195159e+192
 8.40371430e+107
 5.71471376e+105
 1.19891161e+96
 3.78757164e+115
 4.69029782e+121
 7.71296318e+115
 2.08366221e+102
 1.17532996e+98
 1.52009452e+108
 4.34912407e+94
 2.85902506e+88
 5.58528443e+117
 2.99850309e+114
 1.20176222e+96
 2.96767280e+111
 1.75635027e+119
 2.66902323e+112
 5.17487187e+112
 5.54751470e+174
 2.31910924e+162
 2.15886353e+112
 5.81202266e+221
 Inf
 8.69003883e+242
 Inf
 Inf
 1.40082354e+269
 Inf
 Inf
 Inf
 Inf
 7.07924901e+243
 5.62135865e+233
 2.32800415e+253
 Inf
 7.31520271e+254
 1.61842982e+227
 Inf
 Inf
 Inf
 2.78078546e+302
 Inf
 Inf
 2.51327514e+03
 Inf
 Inf
 6.92492240e+197
 7.61238598e+102
 4.59452764e+95
 2.84743300e+95
 6.47628889e+118
 7.52112953e+114
 1.48444937e+110
 4.01751935e+116
 4.20725739e+125
 5.19334475e+112
 4.65881263e+104
 1.52376607e+108
 1.34845354e+107
 3.11302870e+97
 1.64041741e+98
 1.00015867e+133
 7.92815582e+137
 3.20988276e+125
 7.83594854e+172
 1.44229229e+237
 1.97775779e+166
 1.11816604e+146
 2.72900715e+144
 3.20838178e+134
 7.67447019e+113
 1.23181861e+116
 1.87561769e+144
 2.81104127e+120
 3.44790952e+131
 2.63452388e+230
 3.45650164e+222
 6.14743177e+155
 2.81686053e+120
 6.00013352e+120
 1.54133033e+170
 1.66045900e+168
 4.42523233e+143
 1.14842664e+135
 7.04805620e+129
 3.85562848e+153
 7.42736351e+152
 5.68689564e+130
 1.10688172e+138
 3.86482604e+153
 1.69581222e+155
 1.34077449e+173
 1.83270864e+200
 1.33879799e+177
 1.72646888e+158
 2.67547436e+158
 2.09456106e+141
 3.90088346e+113
 9.72031119e+109
 2.69902367e+144
 1.55348123e+170
 9.19788237e+139
 1.73507218e+122
 1.67313257e+121
 5.65300765e+144
 1.26189757e+214
 4.33134354e+196
 5.90704797e+162
 2.31528721e+177
 1.14679261e+180
 3.19884312e+166
 6.03163513e+141
 2.31513455e+108
 5.97696846e+120
 5.58702175e+136
 2.51329241e+03
 2.51340510e+03
 5.26188726e+146
 2.81715619e+121
 4.74905154e+114
 9.73590150e+108
 4.65354741e+131
 3.63551786e+140
 7.25071807e+154
 1.03891991e+230
 3.30480963e+152
 4.70847078e+131
 1.51640346e+114
 1.00877980e+91
 5.05746003e+116
 1.68965503e+134
 2.02690366e+107
 8.05898154e+124
 5.97413561e+141
 1.21653422e+124
 1.06524149e+125
 7.75662299e+120
 1.23369449e+134
 5.20333976e+112
 1.17891414e+98
 3.80818530e+98
 3.33710531e+106
 2.46957940e+145
 1.09844890e+136
 2.14076661e+127
 9.20811377e+117
 8.36486727e+122
 1.16983147e+139
 1.98744532e+116
 9.23188570e+123
 1.51231420e+136
 1.33492445e+122
 3.79538990e+122
 1.42328076e+123
 3.91516612e+144
 7.11362892e+157
 2.95561710e+132
 1.54809776e+138
 1.88836493e+144
 2.30385443e+162
 2.04824016e+190
 4.70098422e+172
 4.12738932e+164
 2.69300337e+191
 4.37007242e+170
 1.92659819e+157
 2.17779940e+138
 6.02640518e+120
 7.20771858e+142
 3.36842859e+147
 7.65903541e+145
 9.49833660e+129
 3.90129217e+129
 2.14042719e+178
 1.23691953e+169
 5.72179586e+137
 2.39206583e+149
 5.71027944e+150
 5.06099571e+128
 6.17402822e+124
 1.23515583e+134
 2.31854902e+139
 4.93724359e+147
 1.17738722e+139
 9.15649828e+126
 1.76420320e+119
 4.02860906e+116
 6.09250361e+113
 3.60318472e+102
 7.16526873e+117
 6.55945086e+164
 1.24547312e+157
 4.61770765e+139
 1.15909805e+150
 7.38206293e+125
 5.04544142e+142
 8.49492332e+188
 3.39699409e+147
 1.57190230e+111
 9.57039313e+113
 1.87515306e+133
 3.63770741e+121
 6.33662596e+131
 3.92658731e+126
 8.38513533e+122
 1.10651547e+146
 5.25846287e+129
 3.89368423e+105
 1.36702457e+119
 5.93143321e+138
 4.48260949e+168
 8.55523485e+150
 3.19902479e+116
 1.08981071e+136
 7.36057540e+125
 7.21778560e+117
 1.84062375e+125
 3.48389576e+110
 1.58012054e+124
 2.31203030e+139
 2.19488508e+156
 2.27250996e+167
 2.11159276e+137
 7.92516818e+135
 1.40532009e+125
 9.45097070e+129
 3.05434472e+143
 1.09448009e+149
 2.17424544e+138
 7.43461493e+132
 8.87216767e+153
 8.66357225e+131
 5.00720771e+106
 1.83048329e+110
 1.26020949e+113
 2.64351874e+97
 4.01829009e+100
 3.38244698e+109
 9.94139484e+99
 2.90702246e+132
 3.20585522e+125
 4.13782337e+123
 2.79416022e+195
 1.08660399e+187
 1.20779991e+166
 2.27732756e+167
 3.19135015e+166
 1.95830721e+166
 3.27704726e+152
 5.69361079e+117
 9.40818100e+159
 1.98232458e+223
 3.97856638e+126
 1.40202411e+125
 5.81375394e+162
 2.76566438e+172
 Inf
 8.28166434e+184
 1.12147169e+146
 6.92777209e+224
 Inf
 Inf
 Inf
 Inf
 2.51327711e+03
 2.51327701e+03
 Inf
 2.51469990e+03
 2.52395403e+03
 2.52501097e+03
 2.52404447e+03
 2.52317607e+03
 2.51938305e+03
 2.51647683e+03
 2.51450304e+03
 2.51364678e+03
 2.51359643e+03
 2.51344110e+03
 2.51329322e+03
 2.51328323e+03
 2.51327998e+03
 2.51328957e+03
 2.51332240e+03
 Inf
 Inf
 Inf
 Inf
 2.51327441e+03
 2.51340081e+03
 2.51357751e+03
 2.51336073e+03
 2.51331486e+03
 2.51335783e+03
 2.51354244e+03
 2.51356990e+03
 2.51344519e+03
 2.51346462e+03
 2.51347877e+03
 2.51329577e+03
 2.51327533e+03
 2.51349809e+03
 2.51374066e+03
 2.51349809e+03
 2.51336309e+03
 2.51336254e+03
 2.51337853e+03
 2.51337283e+03
 2.51327501e+03
 Inf
 Inf
 Inf
 2.51335956e+03
 2.51348329e+03
 2.51329787e+03
 Inf
 1.21324858e+145
 4.26071406e+138
 2.19444355e+156
 2.06415806e+179
 9.94666121e+193
 5.75130547e+189
 1.97758017e+206
 2.08338934e+179
 1.62394214e+127
 2.15834136e+132
 1.54803734e+138
 4.39768391e+143
 3.40293117e+148
 7.37423302e+165
 5.82835426e+186
 8.58001993e+150
 1.10940184e+155
 4.54097398e+188
 6.57469867e+181
 2.26968725e+122
 2.16442763e+121
 3.34753974e+147
 1.35249651e+154
 4.66758511e+172
 9.38678509e+169
 3.73704408e+167
 7.29418648e+154
 1.17631330e+132
 1.43628120e+152
 9.85842540e+163
 1.49823728e+163
 1.76239231e+231
 2.58202300e+164
 5.09091900e+142
 2.03195012e+171
 3.27999344e+152
 1.58525725e+135
 1.91098857e+157
 6.63800621e+164
 7.58990208e+114
 2.07384883e+124
 1.01000655e+133
 3.61572546e+120
 5.93422778e+138
 4.40323887e+134
 1.61643241e+146
 9.73921085e+125
 1.84040338e+110
 1.63635085e+139
 2.11821800e+128
 2.23959848e+126
 4.63153134e+204
 7.65242297e+200
 2.12123214e+137
 8.36590282e+138
 7.53391772e+200
 3.67566829e+179
 1.02127108e+133
 5.14804868e+140
 2.56560516e+150
 2.39616385e+257
 3.83578514e+268
 8.35550749e+144
 9.16785451e+126
 2.83876351e+127
 1.00261711e+121
 1.68414354e+120
 1.81874633e+109
 4.32261230e+102
 3.61135391e+162
 1.60651968e+189
 1.44212352e+156
 4.43587091e+199
 2.68808405e+230
 8.50111892e+258
 1.34121054e+285
 4.28830595e+225
 3.76323277e+200
 9.94452823e+163
 6.21763872e+124
 5.23159746e+129
 8.31217368e+134
 7.29634717e+140
 1.00857893e+159
 2.51336912e+03
 2.51337985e+03
 1.14016600e+190
 2.61584963e+170
 5.64962638e+136
 6.70223361e+127
 3.80258991e+163
 Inf
 Inf
 1.35618660e+285
 4.00220816e+262
 Inf
 4.91324850e+223
 2.54619819e+213
 4.22169091e+206
 6.11606350e+159
 8.49348738e+175
 5.03495925e+185
 2.11642002e+233
 1.04271127e+235
 2.80353494e+259
 4.34122580e+299
 1.96483379e+194
 7.19300090e+254
 2.73236637e+302
 2.46572310e+257
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.45600677e+299
 Inf
 2.51327954e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327563e+03
 2.51328077e+03
 Inf
 Inf
 Inf
 3.56680497e+291
 Inf
 2.51327843e+03
 2.51327501e+03
 Inf
 6.65670833e+139
 1.99220707e+187
 2.51335107e+03
 2.51348512e+03
 2.51329214e+03
 Inf
 2.51327438e+03
 2.51327416e+03
 Inf
 2.51327968e+03
 2.51332372e+03
 2.51330474e+03
 Inf
 2.51327448e+03
 2.51333201e+03
 2.51330544e+03
 2.51330615e+03
 2.51327780e+03
 2.51327527e+03
 2.51330723e+03
 2.51331486e+03
 2.51330103e+03
 Inf
 Inf
 2.51350568e+03
 2.51342835e+03
 Inf
 2.51329161e+03
 2.51334459e+03
 2.51327548e+03
 2.51331939e+03
 2.51338440e+03
 2.51334833e+03
 2.51335162e+03
 2.51327830e+03
 2.51328110e+03
 2.51329350e+03
 Inf
 Inf
 Inf
 2.51328544e+03
 Inf
 Inf
 2.51330337e+03
 2.51327925e+03
 2.51332779e+03
 2.51339042e+03
 2.51335162e+03
 2.51329880e+03
 2.51328304e+03
 2.51339800e+03
 2.51346376e+03
 2.51332551e+03
 Inf
 2.09621732e+190
 2.45254901e+184
 1.24237531e+183
 1.99735449e+244
 1.08563215e+165
 3.38419597e+147
 5.01972234e+212
 3.39987640e+197
 8.09636213e+232
 7.24512960e+254
 1.48796243e+176
 2.83909628e+195
 2.05442321e+181
 5.14911960e+203
 1.91839338e+265
 1.76498287e+142
 6.60903579e+133
 1.68976935e+186
 2.32806501e+256
 Inf
 Inf
 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
 Inf
 Inf
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 Inf
 Inf
 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
 Inf
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 Inf
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 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
 Inf
 Inf
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 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
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 Inf
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 Inf
 Inf
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 Inf
 Inf
 Inf
 Inf
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 Inf
 Inf
 Inf
 Inf
 Inf
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 Inf
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 Inf
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 Inf
 Inf
 Inf
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 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
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 Inf
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 Inf
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 Inf
 Inf
 Inf
 Inf
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 Inf
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 Inf
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 Inf
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 Inf
 Inf
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 Inf
 Inf
 Inf
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 Inf
 Inf
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 Inf
 Inf
 Inf
 Inf
 Inf
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 Inf
 Inf
 Inf
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 Inf
 Inf
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 Inf
 Inf
 Inf
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 Inf
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 Inf
 Inf
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 Inf
 Inf
 Inf
 Inf
 Inf
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 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
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 Inf
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 Inf
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 Inf
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 Inf
 Inf
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 Inf
 Inf
 Inf
 Inf
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 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
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 Inf
 Inf
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 Inf
 Inf
 Inf
 Inf
 Inf
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 Inf
 Inf
 Inf
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 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
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 Inf
 Inf
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 Inf
 Inf
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 Inf
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 Inf
 Inf
 Inf
 Inf
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 Inf
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 Inf
 Inf
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 Inf
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