2.51751789e+03
 2.51726366e+03
 2.51720467e+03
 2.51735951e+03
 2.51752608e+03
 2.51768333e+03
 2.51828716e+03
 2.51937820e+03
 2.51856219e+03
 2.51729156e+03
 2.51689171e+03
 2.51654481e+03
 2.51699043e+03
 2.51720450e+03
 2.51790304e+03
 2.51804154e+03
 2.51665350e+03
 2.51652743e+03
 2.51684246e+03
 2.51716115e+03
 2.51712508e+03
 2.51673810e+03
 2.51658095e+03
 2.51694079e+03
 2.51821619e+03
 2.51824759e+03
 2.51789444e+03
 2.51822929e+03
 2.51774600e+03
 2.51765457e+03
 2.51814565e+03
 2.51814869e+03
 2.51728354e+03
 2.51668657e+03
 2.51727947e+03
 2.51758379e+03
 2.51680127e+03
 2.51694040e+03
 2.51682739e+03
 2.51633254e+03
 2.51609406e+03
 2.51618129e+03
 2.51679011e+03
 2.51630124e+03
 2.51565202e+03
 2.51518674e+03
 2.51491653e+03
 2.51531527e+03
 2.51534711e+03
 2.51502790e+03
 2.51557292e+03
 2.51577635e+03
 2.51489364e+03
 2.51487168e+03
 2.51543635e+03
 2.51492412e+03
 2.51518940e+03
 2.51548638e+03
 2.51492414e+03
 2.51562445e+03
 2.51696376e+03
 2.51603740e+03
 2.51497824e+03
 2.51561224e+03
 2.51658446e+03
 2.51726778e+03
 2.51659883e+03
 2.51589721e+03
 2.51529549e+03
 2.51492163e+03
 2.51530391e+03
 2.51566125e+03
 2.51582056e+03
 2.51523373e+03
 2.51508373e+03
 2.51528978e+03
 2.51549230e+03
 2.51532094e+03
 2.51509974e+03
 2.51582996e+03
 2.51593310e+03
 2.51596215e+03
 2.51596568e+03
 2.51545687e+03
 2.51573543e+03
 2.51490123e+03
 2.51446152e+03
 2.51563973e+03
 2.51510503e+03
 2.51454976e+03
 2.51477684e+03
 2.51435356e+03
 2.51444632e+03
 2.51542759e+03
 2.51579843e+03
 2.51353325e+03
 9.93996225e+259
 2.48404024e+271
 Inf
 Inf
 4.17604612e+229
 2.59079605e+153
 6.50767713e+201
 2.96221444e+267
 1.05418006e+287
 Inf
 1.37931051e+263
 1.40781861e+167
 1.10293855e+136
 2.87668095e+95
 8.73176846e+85
 4.92399458e+99
 2.55027574e+275
 Inf
 7.13319033e+230
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330474e+03
 2.51346550e+03
 2.51330759e+03
 Inf
 Inf
 1.42850757e+269
 7.32440080e+253
 Inf
 Inf
 2.78692343e+185
 Inf
 Inf
 1.60861534e+277
 Inf
 Inf
 Inf
 1.94901018e+265
 Inf
 2.51328304e+03
 2.51327424e+03
 Inf
 1.39759920e+269
 1.84771233e+274
 7.19718461e+303
 9.64517205e+129
 7.22500708e+117
 6.96617008e+105
 3.80633423e+190
 2.51344029e+03
 2.51328143e+03
 Inf
 Inf
 2.51330687e+03
 2.51335841e+03
 2.51335724e+03
 Inf
 Inf
 Inf
 2.51328029e+03
 2.51327435e+03
 2.51327612e+03
 Inf
 Inf
 2.51327495e+03
 Inf
 Inf
 Inf
 2.51328481e+03
 2.51336973e+03
 2.51336487e+03
 2.51346462e+03
 2.51356665e+03
 2.51339660e+03
 2.51329378e+03
 Inf
 2.51338572e+03
 2.51361589e+03
 2.51357968e+03
 2.51346031e+03
 2.51352025e+03
 2.51350568e+03
 2.51332825e+03
 2.51343706e+03
 2.51330651e+03
 Inf
 2.51327733e+03
 2.51330007e+03
 Inf
 1.89325376e+200
 1.91988012e+151
 2.51327587e+03
 2.51389260e+03
 2.51386001e+03
 2.51356773e+03
 2.51357195e+03
 2.51367270e+03
 2.51357314e+03
 2.51355706e+03
 2.51345775e+03
 2.51359641e+03
 2.51361590e+03
 2.51346811e+03
 2.51353935e+03
 2.51397825e+03
 2.51425080e+03
 2.51439320e+03
 2.51425864e+03
 2.51354970e+03
 2.51330269e+03
 Inf
 1.08193538e+242
 Inf
 Inf
 5.84511512e+202
 2.25458776e+183
 1.17430903e+224
 1.14407490e+218
 8.21409561e+184
 7.63915756e+215
 Inf
 1.49551472e+234
 2.16895330e+127
 2.83367004e+108
 3.76013489e+114
 1.65483796e+115
 2.12801474e+127
 4.14983804e+225
 5.60697438e+233
 8.23162171e+124
 3.99246195e+132
 5.24248583e+129
 3.61680093e+102
 3.66771422e+97
 1.04422142e+73
 1.11254498e+135
 2.51327414e+03
 1.63244193e+308
 1.43587425e+191
 5.86620004e+160
 3.71853216e+200
 2.57772542e+258
 1.31654814e+188
 3.89765964e+173
 2.11516631e+217
 3.67561944e+247
 5.11827799e+212
 1.97250116e+166
 1.14420886e+180
 2.77230137e+259
 1.62546694e+296
 3.85308752e+268
 5.03366464e+269
 1.10721167e+199
 3.04892085e+189
 3.78620701e+194
 5.05196314e+185
 5.79236305e+171
 1.12882469e+174
 1.08234059e+187
 3.74828619e+167
 9.66774820e+248
 Inf
 Inf
 4.09046126e+216
 2.51487311e+221
 6.92715096e+230
 9.01993793e+206
 1.78012670e+231
 1.36965924e+154
 5.22125227e+156
 7.35246304e+183
 9.71192256e+174
 7.85364478e+136
 1.68878565e+155
 1.41076053e+125
 2.42502217e+123
 1.67173618e+101
 9.94073310e+97
 Inf
 Inf
 Inf
 3.81363423e+241
 4.13310824e+207
 2.00786197e+244
 1.39264879e+303
 7.34988555e+253
 1.11322749e+196
 5.67258886e+174
 1.72577239e+158
 5.76133211e+171
 6.92235917e+243
 1.72390684e+290
 1.06237384e+282
 Inf
 Inf
 2.94825790e+307
 2.20852435e+196
 6.02364584e+138
 2.42310106e+184
 5.62218383e+285
 4.25592669e+206
 1.84418681e+200
 7.40399525e+235
 7.52662161e+283
 1.64744357e+146
 1.53446589e+106
 5.52575377e+169
 1.21935982e+171
 1.11771007e+112
 7.86517804e+135
 9.09268336e+143
 1.09460920e+149
 1.42604950e+219
 5.62514196e+195
 5.68465594e+213
 1.36719690e+154
 4.65274589e+111
 4.81279710e+115
 1.93734819e+111
 3.67162028e+167
 8.37828586e+134
 1.51144396e+81
 1.87188536e+103
 4.67843911e+223
 8.60180620e+196
 1.63515885e+146
 3.12703842e+154
 1.73297356e+165
 7.97004235e+135
 7.29825671e+140
 2.84130495e+214
 2.18850570e+196
 3.31175991e+174
 5.64469632e+169
 4.18681092e+206
 6.77964232e+197
 2.55835479e+176
 2.98114681e+242
 1.55387883e+294
 3.85230460e+268
 Inf
 2.04951232e+244
 3.45156385e+148
 2.28010623e+253
 Inf
 Inf
 Inf
 1.00954262e+205
 3.84129813e+289
 Inf
 9.30126024e+143
 4.96417350e+122
 4.72997884e+154
 3.86906128e+159
 2.76372275e+172
 1.07220568e+204
 1.21077218e+166
 4.17168986e+158
 3.34660551e+295
 1.94418451e+265
 2.30472572e+212
 1.45543230e+195
 1.02876149e+212
 1.74472626e+150
 7.24931822e+170
 2.37447646e+252
 4.98859016e+175
 Inf
 Inf
 Inf
 Inf
 Inf
 1.02156086e+228
 Inf
 Inf
 2.67913165e+258
 1.60824989e+164
 9.03568271e+209
 Inf
 2.52498638e+271
 9.38237567e+185
 Inf
 Inf
 Inf
 Inf
 2.16216072e+217
 7.31478254e+255
 Inf
 Inf
 Inf
 7.01436227e+230
 7.00660958e+243
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327659e+03
 Inf
 1.19325852e+262
 4.21207843e+209
 1.90173861e+208
 6.28899856e+280
 2.79690807e+235
 4.92064294e+245
 1.49078727e+141
 1.18979255e+145
 1.20101357e+115
 2.24280138e+97
 1.05876426e+82
 6.94875714e+99
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.70426239e+252
 2.47208871e+184
 Inf
 Inf
 Inf
 1.11290143e+238
 5.01231422e+269
 2.51327570e+03
 2.51327587e+03
 1.65471996e+292
 2.14437760e+182
 3.43344828e+261
 Inf
 7.86065087e+290
 Inf
 5.77527561e+285
 9.39296875e+185
 Inf
 Inf
 Inf
 Inf
 4.36898262e+299
 1.63366375e+296
 1.79999125e+231
 5.39142040e+236
 Inf
 Inf
 Inf
 2.05077263e+244
 2.98487006e+132
 8.12007225e+124
 8.30087046e+134
 2.71077686e+185
 5.21455239e+89
 3.33943288e+76
 4.83083649e+78
 5.37437288e+213
 2.51365902e+03
 2.51327711e+03
 3.03777691e+307
 1.08940696e+238
 Inf
 Inf
 2.62651841e+258
 Inf
 2.51330759e+03
 Inf
 9.31585428e+199
 4.41416063e+205
 7.65346013e+200
 1.09800750e+199
 2.39111729e+252
 Inf
 Inf
 Inf
 2.51329032e+03
 Inf
 1.74505787e+290
 Inf
 2.48032947e+252
 1.28874477e+214
 Inf
 4.02682577e+237
 5.48223137e+198
 Inf
 Inf
 Inf
 Inf
 2.64895618e+170
 1.02335857e+212
 Inf
 Inf
 3.32587486e+152
 5.26510308e+129
 2.08915778e+182
 7.98694400e+121
 5.70838404e+135
 2.24832147e+109
 3.15570848e+96
 2.77802689e+90
 7.48440065e+257
 2.51328304e+03
 1.19070647e+181
 1.99635417e+244
 Inf
 Inf
 1.08831494e+242
 2.26771550e+204
 1.92313410e+209
 1.24726149e+183
 8.83687312e+249
 8.01811770e+172
 1.41465034e+125
 3.84836560e+237
 Inf
 2.49930965e+257
 8.24923413e+184
 2.12073761e+136
 2.40957352e+188
 9.09450549e+271
 Inf
 Inf
 5.02406977e+175
 2.60946254e+170
 1.02990021e+235
 Inf
 Inf
 9.12510529e+298
 2.63595447e+155
 1.87009727e+123
 1.70386670e+158
 3.63189905e+304
 Inf
 Inf
 Inf
 4.40113842e+299
 5.78918764e+137
 6.45456815e+122
 8.03432361e+184
 5.23266098e+109
 1.71074079e+72
 1.09215461e+93
 8.87791556e+98
 5.14050031e+89
 3.21200711e+272
 Inf
 3.56445360e+291
 4.90464351e+223
 4.22790656e+206
 1.23922374e+247
 1.33887862e+285
 3.42290357e+219
 4.02200343e+276
 Inf
 7.81183818e+290
 Inf
 6.53082479e+180
 8.54233911e+196
 1.92066414e+209
 1.43252092e+246
 Inf
 Inf
 Inf
 7.57877260e+235
 1.68010620e+175
 1.08401071e+190
 2.03910070e+180
 1.46693643e+234
 8.50618487e+258
 1.11147965e+149
 3.63421851e+192
 9.73031167e+248
 7.46261818e+194
 4.84339958e+223
 4.20593828e+158
 2.23573047e+183
 Inf
 1.61152612e+292
 3.37047855e+293
 3.42537767e+219
 8.10386616e+238
 8.01017427e+219
 9.00942781e+153
 5.56460632e+285
 3.26046315e+125
 2.29302444e+96
 4.32997386e+143
 3.17838536e+96
 1.01587673e+104
 3.95337931e+177
 2.03452476e+180
 3.93184910e+262
 7.47274282e+235
 9.15019790e+128
 Inf
 2.51328381e+03
 Inf
 9.07023048e+249
 Inf
 Inf
 Inf
 Inf
 7.11975738e+243
 Inf
 Inf
 1.21906305e+232
 Inf
 Inf
 1.94173121e+151
 3.64104536e+181
 Inf
 Inf
 1.59923332e+277
 Inf
 Inf
 Inf
 Inf
 4.61402702e+287
 8.98321584e+249
 4.04445365e+227
 1.06362689e+242
 3.09221918e+260
 1.10626422e+199
 3.24003520e+125
 8.10075480e+112
 6.30826253e+180
 Inf
 2.97878745e+136
 3.49782156e+117
 2.20524303e+183
 7.79796506e+85
 3.31233474e+74
 1.31216745e+71
 5.70079902e+103
 Inf
 Inf
 2.48190851e+278
 Inf
 Inf
 1.94479533e+208
 Inf
 Inf
 2.51328061e+03
 Inf
 3.86602627e+194
 4.51233167e+287
 Inf
 1.64765514e+229
 6.18782265e+167
 5.15570892e+191
 2.28190521e+255
 2.71794813e+250
 Inf
 Inf
 Inf
 Inf
 3.72663128e+192
 8.43901809e+258
 2.71915427e+250
 1.31611757e+121
 7.82256817e+172
 6.42857225e+151
 3.02067502e+114
 2.68811186e+185
 Inf
 1.83317137e+298
 7.93778412e+136
 1.25871022e+106
 1.55021795e+147
 4.15453132e+158
 2.14215248e+143
 1.47055331e+141
 1.24118522e+104
 1.20322173e+102
 4.64040387e+131
 6.80033283e+107
 2.57174861e+89
 1.29398197e+303
 Inf
 Inf
 2.68623881e+218
 3.15251814e+130
 4.09990063e+209
 4.15054232e+164
 5.23483148e+126
 3.75669013e+182
 4.36380660e+170
 2.21093121e+239
 2.71205264e+250
 1.21681225e+166
 1.07987931e+248
 1.28811760e+214
 6.47159307e+180
 2.55120941e+176
 9.21605623e+126
 1.68369806e+155
 2.85240808e+151
 7.82467278e+149
 6.43429489e+179
 2.82034075e+165
 7.18194691e+253
 4.02304859e+155
 4.84152753e+133
 3.00307375e+260
 7.75048355e+290
 3.93154977e+159
 1.73497966e+165
 8.37642537e+258
 2.32853184e+161
 2.12724014e+128
 1.89276684e+151
 1.49284697e+160
 1.22064920e+124
 4.70182670e+121
 3.64235234e+162
 6.54419031e+116
 9.04444597e+102
 4.17030979e+99
 7.69486706e+85
 5.26553827e+81
 1.77256393e+51
 6.57617226e+85
 2.51329161e+03
 2.82858176e+250
 5.62600062e+233
 2.00027439e+236
 5.39528207e+236
 Inf
 8.44299840e+222
 6.60704199e+181
 1.14773451e+180
 8.60873155e+141
 1.17585480e+139
 1.64809590e+168
 2.30275922e+161
 6.53893815e+181
 1.33481042e+177
 5.28596858e+129
 2.47289907e+142
 6.38013469e+180
 1.14758064e+180
 3.46588869e+146
 1.01346576e+102
 1.28528608e+121
 1.32982798e+122
 3.32189868e+103
 3.49931024e+142
 4.21825035e+141
 3.46708146e+131
 3.78400951e+114
 1.16481775e+91
 1.95711800e+113
 2.71784372e+124
 5.28173641e+85
 1.46771664e+110
 8.85890358e+127
 3.18628746e+86
 4.29237965e+93
 1.23731168e+108
 1.50017623e+115
 1.68126618e+120
 1.31033471e+103
 5.79298525e+103
 9.75013805e+100
 3.34008790e+106
 6.81543883e+76
 5.92043114e+63
 2.32568591e+101
 2.79509183e+110
 2.86082331e+95
 1.29613216e+120
 8.32447922e+138
 6.75173984e+128
 6.58721582e+133
 1.54856973e+170
 9.22321514e+160
 1.01835737e+133
 2.84303912e+127
 5.23899495e+149
 2.27378699e+173
 2.18375390e+138
 2.29551050e+147
 7.13647105e+253
 2.90885143e+307
 5.11062820e+185
 1.66896804e+175
 2.11786162e+136
 1.76806795e+119
 4.45229850e+168
 5.73250322e+150
 7.38299946e+125
 2.91476146e+137
 2.30580302e+148
 1.47222421e+141
 4.00902297e+132
 1.37873193e+167
 1.33572361e+263
 8.63922086e+196
 1.07863530e+125
 2.17418776e+105
 3.08499132e+130
 1.46574202e+141
 1.57010715e+111
 1.89442376e+114
 8.93884307e+98
 2.73439358e+93
 3.16321811e+77
 1.40388898e+74
 1.53669708e+62
 4.05924405e+71
 Inf
 Inf
 4.19481622e+164
 1.80437467e+105
 1.28691759e+121
 2.18228635e+156
 6.59648205e+173
 1.82014640e+104
 8.26990431e+107
 8.34158328e+175
 7.20399212e+253
 1.51000852e+185
 8.57801350e+150
 2.22950507e+204
 7.08929851e+192
 1.58259097e+148
 1.20681568e+109
 6.13733768e+124
 8.44015306e+188
 3.81073342e+178
 5.85466546e+160
 1.23263052e+169
 2.73616275e+168
 5.57498040e+195
 5.86190575e+186
 8.29061264e+144
 2.39091218e+257
 7.31420276e+253
 1.37438739e+107
 4.16284135e+130
 9.21544457e+117
 8.13764107e+94
 1.19726458e+127
 2.09314048e+137
 5.68548378e+137
 1.20455302e+109
 4.67329819e+124
 2.48211840e+213
 2.75713708e+185
 1.17115451e+85
 8.37222919e+103
 1.92090786e+66
 3.19901438e+52
 6.39149956e+128
 Inf
 Inf
 1.62239814e+164
 4.93539538e+152
 3.88149153e+104
 5.72919416e+160
 Inf
 3.00243608e+132
 1.02611454e+104
 5.21849281e+108
 6.30882401e+131
 6.27244333e+228
 2.70109943e+230
 9.01944058e+206
 4.14913316e+164
 1.57608855e+116
 1.33959612e+154
 1.31755095e+120
 7.64801314e+113
 7.88126212e+137
 9.15413356e+126
 1.20639414e+114
 3.29243005e+88
 2.87321044e+92
 4.57789580e+95
 7.81030510e+89
 4.08929274e+86
 1.69661117e+112
 1.63188280e+168
 3.36271595e+219
 1.12133316e+155
 1.38882918e+112
 6.42884624e+139
 2.84755383e+127
 6.43882644e+122
 1.18357660e+145
 4.22053074e+141
 1.90734532e+103
 4.64541968e+104
 1.36568719e+97
 1.59141731e+84
 2.68049303e+69
 7.81249587e+69
 1.39730880e+83
 2.07310776e+128
 6.78976536e+274
 1.76012396e+165
 1.46738435e+215
 3.16258649e+154
 1.22888270e+32
 1.50958669e+19
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 3.26594766e+31
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 3.06589530e+109
 6.51191597e+118
 4.61898747e+111
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 4.90558740e+23
 1.35953172e+36
 3.78031784e+18
 9.34608009e+27
 3.15525291e+33
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 1.32293329e+32
 2.59697598e+53
 2.63696007e+53
 3.93386006e+101
 3.26340875e+33
 7.75030203e+34
 1.24135111e+133
 2.30191954e+31
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 7.18494124e+17
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 1.88579126e+23
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 1.23681235e+91
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 5.78664574e+18
 1.22836672e+30
 9.60810588e+31
 7.91957617e+29
 8.82198085e+27
 4.53897489e+33
 Inf
 6.23913676e+159
 7.60636073e+33
 8.71416521e+26
 5.72115055e+25
 4.85029298e+32
 6.34786971e+147
 6.18363955e+119
 3.72125490e+119
 1.43718015e+162
 9.07592844e+27
 2.10585889e+24
 4.40258081e+88
 9.09742410e+31
 1.53361971e+19
 3.45247112e+20
 2.82258133e+33
 1.42073395e+128
 7.20133956e+170
 2.12631924e+38
 6.35540125e+18
 6.77559403e+17
 1.33659680e+20
 1.11608754e+33
 1.17741854e+83
 1.15588611e+75
 1.66572501e+81
 6.62052253e+81
 2.14087472e+105
 2.97490711e+135
 1.72747486e+94
 6.76685597e+83
 5.99540161e+121
 1.21057438e+124
 1.74003861e+87
 4.91509651e+91
 3.23716364e+61
 1.02586835e+64
 1.66889852e+112
 1.71905391e+94
 2.65389363e+71
 6.09037407e+29
 1.23935284e+18
 1.23501613e+24
 4.36567296e+90
 Inf
 1.20467102e+38
 5.47895795e+30
 1.97975238e+28
 7.00088925e+30
 6.53488178e+28
 3.91091839e+18
 1.75298734e+35
 1.36795787e+118
 1.70282559e+89
 2.30734254e+78
 7.19849180e+72
 1.71028298e+87
 1.89548069e+34
 1.03352029e+27
 1.43682623e+50
 1.66019476e+77
 2.74018320e+28
 1.35689725e+30
 1.52417195e+34
 8.65915823e+16
 4.35491593e+22
 1.42596716e+28
 1.42497575e+22
 2.24058438e+42
 5.45709965e+87
 4.43902285e+67
 1.96853517e+28
 2.79226575e+19
 1.40357770e+31
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 3.72371312e+20
 7.16840215e+33
 9.51783247e+116
 1.78868852e+105
 4.03265444e+74
 6.94386279e+84
 1.10088241e+27
 1.81308396e+18
 2.02414597e+25
 3.23038126e+37
 4.76605784e+25
 8.61677441e+24
 4.10625954e+68
 2.10078035e+129
 1.21679903e+29
 4.97963259e+27
 5.67125019e+75
 4.04653708e+31
 3.79313232e+20
 1.58996176e+20
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 1.43254725e+79
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 1.27688082e+22
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 1.38950881e+64
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 1.73915538e+16
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 1.07279538e+87
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 1.85362609e+123
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 1.02716628e+87
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 1.27977378e+64
 3.69702308e+65
 1.78856330e+90
 1.75748490e+53
 1.39571453e+54
 3.05680350e+152
 Inf
 9.80073651e+34
 2.83841597e+19
 2.39625226e+23
 4.81803209e+38
 5.20097304e+84
 1.05423986e+82
 2.64345730e+71
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 1.12572091e+86
 3.16655155e+93
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 8.47783430e+87
 2.66453802e+96
 5.09860904e+97
 1.10690014e+95
 6.60243059e+91
 1.93273160e+96
 1.97083162e+79
 5.42813522e+82
 2.38283609e+123
 2.79768496e+120
 1.47641816e+94
 1.90498351e+88
 4.89210881e+90
 1.40032385e+96
 6.80918431e+93
 4.32238279e+80
 7.88902187e+84
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 5.82836375e+93
 1.59236019e+83
 8.92575811e+77
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 Inf
 Inf
 Inf
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 Inf
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 Inf
 Inf
 Inf
 Inf
 2.51331648e+03
 Inf
 Inf
 5.62119352e+264
 Inf
 2.51327474e+03
 Inf
 Inf
 Inf
 Inf
 2.15345276e+182
 9.07993916e+271
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.37809986e+250
 Inf
 7.81987217e+290
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 Inf
 2.51350664e+03
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 Inf
 Inf
 2.51328932e+03
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 Inf
 Inf
 2.51328077e+03
 2.51331288e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327659e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.74155880e+179
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 Inf
 4.30464723e+246
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 Inf
 Inf
 9.35020855e+271
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 1.71175079e+197
 2.76427451e+235
 Inf
 Inf
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 5.70881118e+150
 3.86792808e+173
 1.39224831e+133
 8.00723705e+156
 1.15029332e+262
 1.09536170e+187
 2.28611840e+119
 3.10048259e+130
 1.10679700e+138
 2.24933452e+109
 4.60329215e+95
 9.89603884e+99
 4.90095290e+122
 1.21906765e+169
 3.48469895e+131
 9.50420594e+114
 1.02389525e+96
 2.85463409e+77
 3.71438951e+81
 7.26199971e+69
 1.49727161e+57
 9.54262687e+88
 1.60975064e+168
 1.49150936e+185
 2.84421240e+195
 1.15804071e+135
 2.57766019e+133
 7.08810963e+123
 1.37242252e+97
 2.80802161e+108
 5.63660773e+150
 3.94383794e+144
 2.73992359e+124
 1.61458129e+129
 1.26624619e+151
 1.72822935e+150
 1.59077591e+113
 3.35940509e+92
 3.68051699e+91
 1.05215519e+99
 1.71214354e+142
 1.82346367e+140
 1.56961936e+116
 1.97541765e+113
 4.95057701e+88
 6.75372524e+83
 2.75236317e+80
 5.00149840e+73
 2.02392376e+72
 9.02792287e+75
 1.09731201e+78
 1.48967686e+67
 6.37075563e+66
 2.05545581e+75
 1.64399189e+76
 6.66524920e+69
 7.08542754e+74
 7.81021140e+70
 1.75088471e+62
 1.39016071e+63
 6.11551629e+53
 2.49732534e+49
 5.87298362e+45
 2.52560538e+53
 7.41111315e+80
 9.83032016e+82
 7.43232933e+78
 4.29774046e+80
 9.51421086e+74
 1.54745101e+65
 1.37073136e+67
 5.13215053e+63
 3.43436757e+65
 6.54258361e+70
 7.22866517e+69
 1.37984113e+69
 7.20110272e+65
 8.64105207e+64
 1.07708217e+72
 1.86620434e+86
 6.77559556e+76
 2.77059850e+75
 2.34615071e+81
 9.90447391e+77
 1.01057521e+80
 1.67114111e+85
 1.80565979e+73
 1.82635919e+70
 4.13095879e+73
 1.44256736e+68
 4.65564139e+79
 1.95919270e+79
 1.10366692e+70
 1.99740446e+62
 3.47157308e+67
 4.20217618e+91
 4.49869449e+98
 4.70990813e+83
 2.03235388e+72
 1.10264628e+83
 6.67703938e+78
 3.32328455e+87
 3.79190416e+98
 1.39393504e+69
 4.79365050e+63
 1.39119243e+63
 8.94023241e+60
 6.42844436e+50
 8.93254253e+57
 2.42847828e+92
 1.70822407e+94
 2.97341059e+114
 2.41745335e+123
 1.00512953e+105
 1.57133052e+128
 1.06837662e+187
 1.59541891e+164
 5.71715529e+137
 3.43693121e+146
 8.90466271e+153
 1.07517032e+147
 1.47179256e+141
 1.55146471e+138
 7.93861863e+137
 9.57636764e+151
 3.37550537e+147
 1.49263359e+163
 4.61515474e+211
 9.79126435e+171
 1.91196359e+151
 9.50850012e+129
 7.76632325e+120
 5.53904209e+107
 6.53324824e+87
 3.57002388e+102
 1.36544161e+119
 1.08523539e+94
 1.58326657e+80
 2.35156387e+81
 2.84379158e+88
 4.28688435e+88
 2.13653490e+92
 1.70839699e+122
 3.61087141e+102
 4.83527939e+84
 6.03845056e+92
 8.38726172e+97
 3.80163809e+98
 6.61430968e+72
 6.43318706e+57
 4.89334855e+51
 5.14579032e+81
 2.51359191e+03
 2.51438065e+03
 2.51352322e+03
 Inf
 1.94710545e+151
 8.47582498e+175
 1.58730271e+159
 1.69785281e+155
 2.19355590e+199
 1.43246418e+222
 6.91667139e+182
 2.70670443e+198
 2.87642930e+307
 Inf
 Inf
 1.85283335e+270
 Inf
 Inf
 Inf
 6.68072668e+201
 5.07301765e+146
 1.45926892e+215
 3.95273123e+237
 4.72914033e+172
 1.70218425e+155
 3.64054079e+192
 1.08732605e+248
 2.44859381e+278
 6.58719064e+214
 Inf
 Inf
 Inf
 3.04085976e+267
 1.91529830e+208
 Inf
 Inf
 9.17678361e+249
 4.27263849e+225
 Inf
 3.98139920e+190
 3.70218682e+162
 1.38959821e+167
 1.00477354e+100
 3.46071791e+80
 9.32329843e+114
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327768e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.47732478e+237
 Inf
 Inf
 Inf
 Inf