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 2.51349341e+03
 2.51346289e+03
 2.51366770e+03
 2.51337096e+03
 Inf
 3.30787772e+248
 Inf
 2.83075822e+259
 3.09963498e+260
 4.36344196e+282
 4.77246922e+204
 3.66705864e+247
 Inf
 Inf
 Inf
 Inf
 2.99424811e+238
 1.56283227e+280
 Inf
 Inf
 5.52569986e+306
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.44685751e+219
 1.61435736e+296
 Inf
 Inf
 Inf
 Inf
 7.65853619e+283
 Inf
 Inf
 Inf
 Inf
 Inf
 8.78087567e+242
 2.30152339e+167
 8.94383997e+153
 6.63296478e+164
 2.37016935e+252
 Inf
 1.72341022e+197
 1.59782513e+164
 2.30092189e+161
 9.14407752e+143
 1.13787025e+181
 8.94639468e+206
 2.56169443e+176
 7.30381732e+147
 2.39809863e+149
 9.87453014e+193
 1.10444004e+149
 8.56151908e+141
 3.86654524e+190
 Inf
 2.55341318e+251
 2.30328674e+167
 4.73390589e+240
 8.57906983e+242
 3.43171400e+156
 1.58137782e+159
 2.30988583e+256
 9.31154012e+259
 1.23365317e+171
 2.26292783e+254
 3.09753093e+260
 2.09584831e+179
 6.97660146e+187
 4.00492494e+216
 3.83293940e+182
 1.11234295e+158
 2.80840382e+165
 1.24621655e+134
 1.22395063e+169
 3.77056944e+194
 1.10452342e+149
 6.58441255e+173
 8.81556889e+208
 5.46150489e+198
 1.59815896e+164
 3.56465545e+149
 3.67330330e+162
 8.54562579e+150
 7.82090624e+136
 9.13624155e+139
 9.10218543e+143
 1.90924832e+115
 1.67515741e+153
 2.58335113e+140
 1.28500769e+126
 6.95086070e+192
 3.23357048e+134
 9.13064986e+139
 2.49727684e+145
 5.62351710e+136
 7.43181709e+132
 1.88332514e+108
 7.50281601e+102
 2.51329757e+03
 2.51347075e+03
 9.37104693e+153
 1.07513710e+147
 4.76361603e+154
 1.91306713e+114
 9.78551858e+114
 1.33862667e+154
 5.00979468e+185
 1.48167883e+141
 9.14549892e+139
 4.03087377e+183
 1.19939329e+128
 1.21159833e+127
 1.03211383e+141
 8.37322250e+138
 3.64226095e+121
 4.82690461e+100
 4.95309948e+99
 2.48842458e+102
 5.98363219e+134
 1.28866302e+140
 6.45786737e+122
 2.73869273e+117
 1.01482021e+111
 1.06089712e+125
 9.01260475e+133
 1.69593592e+126
 1.58746787e+132
 2.33517664e+160
 1.03331802e+161
 1.52512065e+136
 6.40804519e+179
 1.97362041e+206
 4.10122945e+208
 5.59133179e+233
 8.86568825e+207
 8.53423425e+242
 Inf
 Inf
 Inf
 Inf
 Inf
 1.74643526e+225
 1.93449948e+305
 1.84425851e+270
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.08637848e+268
 3.36043003e+293
 1.02950896e+306
 8.57911299e+258
 3.72982079e+162
 5.99424994e+138
 7.36509578e+125
 8.90304899e+127
 1.72136428e+112
 5.54081065e+125
 6.59019938e+178
 4.63443294e+139
 1.57954881e+164
 1.09774172e+196
 8.00440815e+135
 4.52694981e+165
 5.77495960e+161
 1.35668711e+154
 7.90423692e+172
 5.24052169e+156
 2.10561916e+217
 5.81829092e+171
 6.74530096e+127
 3.80259246e+163
 2.54245812e+176
 9.29774738e+205
 1.56608495e+277
 6.24008068e+163
 4.17184586e+135
 1.71066118e+158
 9.34114951e+155
 5.82913092e+160
 9.34593961e+155
 9.51674971e+129
 9.27363878e+155
 3.94806731e+144
 4.72410699e+121
 2.01902544e+169
 Inf
 2.74794761e+198
 3.86126739e+163
 1.21788984e+171
 2.35698729e+160
 1.32899797e+177
 1.99132613e+223
 3.37363477e+215
 2.05970415e+171
 1.05211693e+301
 2.46454546e+278
 1.58306058e+170
 1.92643513e+157
 6.62912658e+133
 5.76432312e+111
 6.55154944e+133
 4.52402626e+165
 1.51044046e+118
 5.81986311e+153
 3.69705963e+160
 2.20296131e+70
 1.69486662e+75
 2.48364571e+150
 1.33882264e+117
 2.03578993e+83
 4.59731574e+85
 1.45445726e+143
 1.11863796e+95
 2.41697518e+64
 2.53426838e+78
 1.14026101e+79
 3.69545021e+127
 Inf
 Inf
 1.59444765e+280
 2.89381949e+151
 Inf
 Inf
 2.52732476e+243
 Inf
 Inf
 8.21309953e+219
 1.12137309e+155
 2.58426495e+140
 9.48721003e+129
 2.48124448e+113
 1.20201615e+114
 6.47687507e+116
 6.77625915e+107
 7.85758705e+109
 9.76838640e+100
 2.32591199e+146
 9.20137078e+185
 4.75377415e+121
 2.23837654e+122
 1.21778146e+105
 7.86130386e+119
 3.24879041e+139
 6.50466708e+112
 2.99969668e+102
 1.80894275e+109
 4.32700990e+176
 1.07341651e+148
 2.27425711e+87
 2.20506171e+80
 4.29072210e+70
 2.00171020e+60
 3.15383106e+63
 1.53798355e+72
 6.99406343e+111
 9.21767932e+169
 3.64551990e+145
 1.71970681e+130
 8.49574283e+103
 3.34358724e+106
 8.17232235e+100
 7.83860018e+109
 2.39429950e+184
 2.86351405e+224
 3.82965737e+178
 3.48949100e+131
 7.73168393e+115
 1.48487087e+110
 9.16281536e+117
 1.30225812e+144
 2.34312776e+160
 2.04213759e+169
 5.09521772e+142
 2.93238097e+122
 1.87635902e+207
 1.17983324e+224
 1.32823607e+120
 3.52608358e+99
 2.31465714e+78
 1.03753062e+73
 1.10114129e+88
 5.35367220e+132
 Inf
 Inf
 Inf
 Inf
 3.99498836e+234
 7.03392407e+187
 2.21000952e+199
 8.02048426e+137
 3.61964951e+120
 2.51341912e+03
 2.51718471e+03
 2.51648687e+03
 2.51513211e+03
 2.51373795e+03
 Inf
 2.18202873e+217
 1.92364864e+151
 1.33514983e+184
 2.42352210e+243
 5.40051917e+236
 2.26428828e+183
 6.21596339e+119
 5.24314725e+108
 3.43398458e+131
 3.25036543e+152
 8.56783241e+141
 3.30945128e+88
 1.10892342e+76
 5.47260520e+72
 4.45201336e+92
 5.12882793e+126
 9.58710398e+80
 4.57338678e+72
 7.45237648e+90
 1.43571644e+102
 4.99995907e+142
 8.07667802e+250
 2.35627557e+139
 6.00204776e+114
 5.98969024e+159
 1.21392850e+114
 1.92970028e+22
 3.04275805e+13
 5.07313778e+17
 5.71637970e+44
 1.39636306e+109
 5.52009480e+107
 5.00356370e+87
 4.77313624e+103
 1.05830372e+147
 2.27290545e+119
 1.71227186e+145
 1.44136688e+152
 1.54129961e+277
 Inf
 1.39292574e+198
 1.15105694e+181
 1.87084435e+220
 8.48657763e+258
 2.96678055e+238
 5.78244858e+150
 2.59549094e+170
 5.42248315e+198
 9.77410847e+171
 5.72733719e+189
 1.08166404e+147
 7.94280773e+135
 3.76374024e+178
 4.18104221e+158
 9.19123718e+126
 1.68683071e+120
 1.60496569e+127
 5.71741599e+135
 7.39312744e+148
 4.59388019e+157
 2.10684987e+182
 4.73074602e+131
 3.36831245e+106
 1.28752748e+121
 2.25274804e+173
 1.91142068e+209
 7.65778071e+200
 2.88503884e+214
 1.91178180e+131
 3.53453569e+99
 6.61240929e+91
 7.09727746e+97
 5.07333262e+116
 5.34025352e+83
 1.02913544e+90
 1.97940987e+181
 1.50165898e+160
 2.15095517e+127
 4.81044969e+133
 9.47229530e+129
 1.14459127e+135
 5.45166425e+132
 1.14543090e+135
 1.11839050e+174
 8.56334261e+188
 1.14917670e+180
 Inf
 Inf
 8.69375161e+242
 Inf
 Inf
 Inf
 4.97968997e+217
 1.30584968e+140
 4.60024691e+139
 1.32167394e+177
 6.36726655e+228
 9.14499567e+209
 4.59264216e+165
 1.23772500e+183
 4.00092652e+216
 1.18920320e+139
 2.50855569e+99
 1.15723009e+97
 2.77220104e+120
 9.43785092e+129
 3.20386296e+125
 7.28008521e+183
 5.85972553e+160
 1.00397835e+100
 1.64173614e+98
 1.54898297e+159
 4.17548543e+206
 6.52918352e+214
 2.05952092e+171
 2.18533157e+121
 7.71217795e+115
 2.56341299e+133
 2.53736132e+164
 3.97882117e+155
 2.82516312e+195
 1.04364225e+131
 1.09464184e+136
 1.59425443e+189
 5.79840747e+161
 1.36355157e+303
 1.14532282e+174
 4.12841904e+164
 7.18006249e+253
 6.22399404e+218
 2.60146183e+219
 1.98708001e+206
 1.50164946e+185
 3.38431520e+197
 1.59789195e+164
 5.83920429e+160
 Inf
 Inf
 1.45667616e+246
 1.00440060e+194
 2.50328926e+142
 6.03146474e+120
 9.79607965e+100
 1.16054200e+91
 5.64837085e+90
 1.29174820e+95
 4.78854430e+103
 1.05678841e+99
 1.19635228e+96
 5.77795113e+103
 3.20898076e+90
 5.85172170e+71
 2.08224166e+64
 6.60508432e+68
 4.27299068e+94
 8.99758606e+106
 2.95353437e+89
 5.85463347e+79
 9.05949564e+75
 3.50816338e+78
 4.28444307e+82
 2.71718157e+79
 9.63518254e+73
 4.03076761e+85
 9.72305468e+88
 1.01264236e+104
 1.39180146e+125
 6.34329824e+131
 5.24591204e+149
 6.13719392e+115
 9.99355364e+120
 8.62186210e+207
 6.50674930e+179
 1.70269749e+120
 4.62068444e+111
 3.46555460e+108
 6.94777672e+105
 1.16059244e+132
 1.06324052e+148
 2.31168918e+148
 7.37393521e+165
 5.71480901e+144
 1.65321633e+139
 2.17237785e+129
 1.06669849e+125
 2.30461426e+130
 1.08193768e+137
 1.37917257e+119
 6.53135177e+118
 2.24656508e+167
 6.65220634e+164
 6.93817078e+126
 5.65329929e+130
 3.11061186e+130
 4.44891853e+117
 1.48559436e+110
 6.36977023e+109
 3.46912420e+110
 7.62656378e+113
 1.13886062e+135
 3.46182263e+131
 1.53480149e+108
 2.40001585e+111
 3.01659402e+115
 8.27585579e+134
 1.69632436e+126
 8.48845317e+103
 5.62403486e+117
 1.10454172e+146
 4.26409169e+151
 2.31366812e+148
 1.21812440e+124
 3.77174468e+127
 2.99789043e+135
 1.38219339e+133
 2.51328362e+03
 Inf
 5.79835007e+136
 3.68090245e+160
 2.20588644e+156
 3.60237763e+124
 3.99203072e+132
 5.67278268e+144
 3.19549192e+116
 1.10618371e+112
 8.26567962e+134
 4.22828031e+125
 1.37857468e+133
 3.61583575e+120
 1.68238186e+100
 1.08269482e+136
 1.33366065e+173
 1.31951967e+144
 1.28600818e+126
 7.72174227e+115
 5.87802968e+93
 2.02341135e+83
 1.24881237e+83
 2.87963822e+132
 4.00354983e+177
 1.32044441e+144
 4.10128148e+164
 5.20347533e+166
 9.19261806e+139
 9.79736003e+115
 1.06046597e+99
 1.67200546e+100
 1.08269398e+136
 7.39495748e+152
 7.38210487e+165
 3.27679028e+152
 6.14011971e+113
 7.88098421e+137
 1.82146617e+140
 2.92587031e+137
 1.68746469e+153
 3.79675922e+127
 2.48875028e+145
 2.39666798e+149
 3.82980933e+150
 2.48564951e+142
 3.66653380e+162
 1.08947809e+199
 4.06435464e+177
 2.15656755e+127
 1.90249854e+115
 1.68713054e+126
 1.21103774e+127
 2.80031145e+120
 1.43766543e+162
 2.66742281e+250
 1.35674634e+184
 1.09472213e+199
 1.50002181e+185
 3.39520229e+147
 9.38275767e+147
 2.81269289e+120
 1.09093335e+123
 6.00425698e+120
 3.02494235e+115
 4.71360696e+105
 2.29463591e+108
 4.35487749e+143
 1.03524554e+131
 1.18815908e+128
 6.62208087e+110
 4.33901357e+97
 2.11387460e+127
 5.66405206e+144
 3.01695294e+114
 5.54499615e+125
 5.13733681e+140
 1.03805902e+143
 Inf
 Inf
 2.90961777e+151
 5.82315957e+160
 7.39381269e+190
 Inf
 1.80726165e+231
 7.21136710e+157
 3.17342429e+201
 5.06882436e+148
 7.95760930e+137
 5.00263687e+212
 1.04460072e+287
 4.16758411e+229
 1.24415035e+247
 5.62369966e+233
 3.69144263e+192
 Inf
 Inf
 3.30000138e+248
 1.18685407e+224
 1.06303968e+242
 1.94052760e+305
 1.73467985e+240
 7.53207609e+283
 3.92980344e+159
 4.27674641e+151
 1.69341877e+153
 1.58708226e+103
 7.85578351e+103
 6.83051277e+126
 3.53249770e+149
 3.69340563e+160
 7.43549649e+148
 3.59754108e+124
 4.56177586e+157
 1.57438287e+147
 1.07831478e+119
 3.02346339e+115
 1.07021821e+119
 5.96271195e+141
 2.11940990e+128
 2.02437478e+107
 5.43167416e+80
 1.24779443e+65
 1.26557546e+57
 2.04459685e+90
 1.85857383e+108
 9.15692946e+71
 5.92169933e+50
 3.13844406e+62
 6.21892475e+173
 3.69213305e+162
 3.64740029e+192
 1.93506214e+174
 1.34625746e+173
 1.45757316e+161
 4.23434138e+141
 7.31624789e+194
 2.50550797e+113
 4.53098977e+98
 4.19560810e+138
 5.45638957e+132
 5.98777172e+141
 1.91448363e+157
 8.25044418e+144
 5.07097168e+142
 9.66345597e+171
 1.32111751e+120
 2.19580231e+88
 6.49191421e+87
 3.87491507e+89
 3.65737077e+107
 6.03770303e+96
 9.50789167e+92
 2.21087161e+126
 3.62996146e+140
 1.20519586e+109
 2.00420592e+94
 3.09186116e+118
 2.79369673e+120
 7.64873829e+113
 5.72500898e+105
 5.83911232e+101
 3.21268591e+152
 4.19128168e+225
 2.22308001e+199
 6.53637603e+158
 1.89374516e+192
 6.45105758e+180
 6.04520760e+141
 1.03610508e+141
 6.75486567e+128
 1.37699781e+167
 2.39838377e+163
 3.38317630e+147
 2.46751719e+159
 4.02353704e+132
 1.09439877e+123
 Inf
 Inf
 6.03376867e+99
 2.98761014e+102
 7.70014320e+120
 4.99060049e+146
 6.37670037e+131
 2.16978472e+121
 1.61311411e+129
 6.54918184e+118
 1.37299208e+119
 5.42732679e+132
 1.02117510e+108
 3.30929560e+103
 9.00925397e+102
 1.22721872e+116
 7.63955414e+113
 3.81228905e+115
 7.25300087e+140
 7.43900804e+132
 1.57826385e+135
 3.13253179e+118
 1.20834997e+127
 3.92001246e+144
 1.33707113e+173
 5.48223062e+78
 4.19162797e+63
 3.37823193e+117
 5.73746151e+186
 4.57775669e+165
 7.44519494e+152
 2.85091962e+151
 1.02332234e+120
 2.42523595e+125
 1.28031354e+126
 2.99662653e+135
 2.91343944e+136
 1.20424884e+109
 1.99109476e+101
 7.00525363e+99
 1.19632747e+114
 1.29086098e+121
 6.37217880e+98
 2.97097395e+111
 5.20936430e+129
 4.14135111e+135
 1.10119264e+158
 2.50730553e+145
 1.73924044e+142
 1.18616495e+98
 8.62949346e+69
 4.02107020e+85
 1.95192390e+116
 4.21824855e+81
 1.99063012e+68
 1.94742409e+79
 1.35611012e+78
 6.04117242e+70
 2.89526472e+69
 5.98120360e+86
 2.11468430e+112
 2.14816719e+132
 2.09996264e+136
 1.49208801e+110
 2.81388909e+151
 3.96536672e+227
 1.15536012e+180
 4.29224483e+151
 1.57240558e+147
 6.39556509e+151
 2.75567382e+117
 8.46906075e+105
 5.31215048e+110
 3.35731592e+92
 1.84540139e+92
 5.49436801e+125
 1.19607534e+115
 3.17438208e+85
 1.71052124e+71
 5.35949337e+80
 5.59639006e+135
 1.06836826e+125
 1.58928900e+90
 9.33461896e+70
 5.24243189e+64
 6.90034943e+84
 1.00161814e+120
 2.04322685e+205
 3.37349702e+112
 2.48384973e+76
 2.25396359e+96
 1.80468432e+109
 2.03028639e+154
 1.19410139e+128
 3.91796150e+89
 1.02845829e+79
 7.61807719e+62
 1.67638689e+55
 1.28912626e+60
 1.19322962e+71
 1.36160203e+73
 3.60538846e+70
 1.35915160e+92
 1.75763378e+99
 2.92413665e+69
 2.72724562e+68
 4.61020985e+105
 5.61892007e+144
 2.48252088e+142
 4.46026641e+117
 7.12487197e+96
 4.84051194e+80
 4.81624911e+63
 2.44476830e+69
 2.11946659e+86
 2.12231965e+117
 4.44876989e+168
 4.69567243e+204
 3.17220507e+186
 5.78304108e+135
 9.13364397e+139
 3.83688141e+115
 5.01301887e+87
 2.40306777e+90
 1.78172986e+91
 1.00183442e+91
 5.45430534e+84
 1.88036561e+75
 1.41133229e+66
 9.40961937e+72
 2.45783043e+92
 1.30678542e+85
 5.84529402e+79
 2.16761900e+88
 1.78439861e+104
 4.67826915e+86
 9.53585517e+74
 1.86672363e+81
 2.18505719e+79
 5.64749526e+69
 9.60860503e+63
 1.78731310e+73
 2.72755959e+91
 6.05149738e+80
 4.67912541e+83
 8.14102252e+92
 2.06081298e+91
 6.29187031e+95
 6.52791195e+90
 2.66780270e+96
 1.82349766e+110
 3.70654856e+111
 2.08122753e+102
 8.24566883e+104
 1.88993969e+115
 4.68987125e+121
 1.49735438e+118
 3.41553211e+101
 1.91006364e+85
 2.84882838e+88
 1.93782252e+89
 6.49522536e+87
 1.99758193e+107
 2.24974102e+119
 5.16791804e+89
 5.91804158e+81
 6.37739799e+112
 8.35115456e+122
 3.85982112e+104
 7.09976779e+96
 1.40358966e+96
 6.30342030e+95
 1.25008924e+99
 2.43393881e+95
 2.56705895e+87
 1.58238536e+79
 3.65916397e+91
 6.25908006e+151
 2.25117807e+126
 7.87168928e+89
 2.12655649e+82
 1.57722552e+64
 1.21484275e+63
 1.53361878e+70
 2.41823615e+72
 1.69233198e+74
 1.69205899e+72
 5.49648873e+76
 2.39054002e+90
 1.45532198e+86
 4.30650277e+77
 2.55339550e+78
 5.28526289e+77
 2.15305405e+68
 2.41585292e+72
 2.90042321e+87
 2.59324221e+84
 1.11485895e+89
 5.12237408e+89
 2.20695996e+80
 1.80233179e+73
 5.19384757e+85
 9.68068960e+100
 4.79904362e+103
 2.13925395e+117
 1.10694105e+107
 8.70603653e+95
 6.79116670e+104
 4.75736196e+119
 9.99196160e+97
 5.31516475e+83
 9.71210591e+83
 4.05054395e+85
 1.36459889e+90
 2.59580022e+84
 3.52102474e+78
 1.67530746e+82
 8.46174663e+87
 1.67681685e+85
 3.81906647e+82
 4.30820045e+94
 1.18973008e+109
 1.65478992e+96
 1.87733822e+74
 9.27911814e+70
 2.42347655e+79
 2.04866614e+91
 1.27906714e+121
 5.17798309e+109
 1.08272008e+94
 1.65710674e+86
 7.44795118e+75
 1.30424184e+70
 7.42367227e+60
 1.17947589e+64
 1.07617653e+69
 3.42721715e+73
 2.37371477e+82
 3.25843710e+88
 3.33298676e+92
 6.76304120e+83
 6.35858878e+108
 9.40053515e+129
 2.47594452e+107
 1.99703753e+100
 1.84703956e+106
 1.98401785e+80
 1.77298051e+69
 4.56303616e+85
 3.14960248e+86
 1.93628958e+89
 1.46257145e+94
 5.69381950e+87
 7.45239459e+81
 5.99614235e+78
 9.96266604e+90
 2.75095019e+91
 2.85064844e+77
 7.54009657e+80
 4.14624461e+83
 2.91723791e+87
 1.10250411e+95
 1.40267843e+96
 4.11845676e+71
 5.98134526e+72
 6.83920141e+94
 3.21230600e+98
 9.76247689e+83
 2.11240669e+63
 9.53567136e+57
 3.61363758e+63
 1.37494681e+69
 2.98466667e+66
 1.09874523e+71
 9.32361514e+81
 3.63922211e+74
 7.10329857e+74
 3.14453256e+94
 1.05337572e+99
 5.82591718e+101
 2.50249529e+88
 9.39884652e+81
 5.87769701e+74
 3.05307401e+75
 5.41790777e+82
 2.51337661e+03
 2.51776724e+03
 2.51673019e+03
 2.51614435e+03
 2.51399842e+03
 Inf
 5.74604311e+233
 2.02838574e+187
 3.72027378e+160
 1.65849642e+139
 4.45742500e+117
 1.57618601e+103
 1.48698225e+99
 4.58906425e+95
 1.64774855e+96
 8.67578754e+95
 6.30294273e+95
 2.00471597e+107
 1.28789061e+121
 4.69785892e+121
 4.66972191e+104
 8.25274202e+104
 8.43784374e+105
 5.39204141e+95
 7.00549731e+84
 5.29927203e+77
 8.33219719e+81
 9.06554008e+79
 9.51153775e+74
 5.21459942e+79
 2.46278726e+99
 1.17935215e+100
 6.71468634e+78
 2.19745363e+80
 1.33235383e+107
 1.16583459e+101
 1.10640241e+93
 4.31384772e+97
 1.16514921e+87
 2.44133129e+79
 3.35913698e+89
 2.08733192e+90
 1.51299722e+78
 2.90973975e+87
 1.26837659e+88
 3.33703648e+87
 1.24166691e+84
 1.26400107e+80
 1.27512564e+93
 4.70449472e+81
 2.91064959e+72
 1.00833090e+85
 6.27467708e+95
 5.29180322e+110
 1.02633198e+141
 4.67223228e+120
 3.73452370e+94
 7.52903160e+90
 1.19730388e+102
 3.34137442e+106
 9.95742227e+97
 3.39481044e+101
 1.01774981e+104
 5.14832727e+89
 2.66658882e+96
 3.68804325e+111
 2.08602540e+95
 9.89475868e+99
 1.89826991e+118
 3.01974024e+107
 3.72226092e+94
 6.36492100e+122
 2.17053326e+120
 2.75538344e+103
 1.88891961e+115
 2.01786595e+107
 7.52536787e+98
 5.88563420e+99
 1.46688773e+105
 1.67553160e+120
 5.22451069e+129
 2.90709739e+129
 9.01386256e+128
 1.33297146e+117
 4.98394924e+146
 5.16529295e+140
 2.76890254e+106
 6.07187101e+115
 2.80997863e+128
 1.25065637e+129
 1.10616590e+138
 3.70407737e+187
 1.46124104e+162
 3.02089358e+135
 2.83779285e+175
 1.64198396e+172
 2.28003736e+167
 9.19359900e+139
 2.64411435e+140
 4.25745827e+151
 5.02496280e+106
 2.46089850e+107
 6.98863212e+129
 1.56609812e+116
 3.72215318e+93
 1.97699296e+80
 2.73123501e+74
 3.37800952e+82
 8.36109726e+103
 8.15073537e+110
 6.24553817e+102
 1.94025505e+96
 1.17290287e+98
 4.50980504e+98
 2.74190613e+109
 1.69928911e+89
 4.35429855e+87
 5.11474927e+126
 7.05296347e+99
 1.88828281e+86
 7.42643017e+114
 2.23982962e+122
 6.10205974e+113
 1.89597218e+114
 4.12142836e+135
 9.82654507e+100
 2.09325581e+99
 1.02114737e+141
 5.68158010e+117
 1.21897524e+183
 Inf
 2.42851775e+252
 2.51328213e+03
 2.51330405e+03
 1.14594639e+248
 1.05452819e+226
 3.11554238e+232
 5.47891101e+198
 3.03640412e+135
 1.43770118e+152
 2.74778568e+259
 7.55380835e+283
 2.02283433e+223
 2.94674662e+249
 Inf
 1.52770326e+185
 1.66881398e+175
 1.55562035e+201
 4.77231306e+240
 7.26053025e+292
 2.62373743e+133
 1.71493310e+130
 8.61801897e+131
 1.68888663e+120
 5.03627604e+142
 2.32349921e+139
 5.25689554e+149
 1.45047064e+161
 4.67525549e+172
 2.05305167e+190
 4.75099437e+124
 2.08163828e+124
 3.60812793e+179
 2.30283012e+253
 4.98902802e+175
 7.35601591e+140
 4.58455967e+157
 8.47030985e+101
 2.14663887e+92
 8.84050094e+91
 1.47249633e+89
 3.12343558e+123
 5.65887040e+117
 1.19529604e+82
 1.89581406e+88
 1.25345446e+94
 3.38003156e+89
 8.16188434e+92
 9.80225104e+96
 1.40296047e+100
 7.47450590e+114
 1.26730684e+130
 1.48044152e+109
 1.71252129e+112
 8.96688200e+128
 2.13707121e+127
 1.50376661e+137
 1.02048366e+120
 3.23655513e+98
 1.09951638e+112
 1.57549167e+128
 2.95509825e+141
 1.73761556e+142
 4.08054591e+137
 1.86365209e+123
 2.23654675e+126
 1.08070997e+137
 3.33229934e+103
 2.08124821e+95
 1.67611281e+117
 3.37604851e+148
 6.82307495e+182
 1.44074476e+156
 3.65411633e+121
 7.89083210e+135
 1.34777879e+193
 9.41945668e+169
 1.32075143e+120
 5.02380635e+128
 3.56845213e+180
 8.57208856e+150
 2.40180137e+101
 4.31196652e+102
 9.68585908e+109
 3.89471684e+92
 6.46504633e+88
 2.93610706e+89
 2.24439624e+87
 3.17625438e+91
 3.27075294e+88
 2.56068261e+87
 6.89243504e+94
 3.44495654e+108
 1.02216371e+96
 4.30330124e+102
 7.30388414e+148
 1.65253278e+168
 2.00745039e+187
 9.75698557e+171
 7.70216465e+130
 1.56646667e+116
 1.32793333e+122
 2.91142581e+137
 8.21354483e+144
 3.74368539e+119
 1.26365911e+113
 1.66858868e+121
 3.10225065e+130
 5.66937809e+144
 1.84748319e+110
 1.58406165e+90
 3.15197426e+85
 1.98037088e+73
 8.25893939e+76
 5.86538560e+94
 1.36107985e+97
 6.32817141e+98
 2.25719249e+110
 4.98031413e+106
 2.90355578e+122
 7.21334447e+147
 3.74576037e+119
 2.99107396e+111
 5.98336149e+120
 1.71831744e+112
 8.36105545e+99
 4.33826396e+94
 4.78790147e+100
 2.24967222e+106
 1.66423905e+101
 1.19283920e+109
 2.14557675e+132
 9.46923100e+129
 2.26473208e+119
 3.48316224e+117
 2.41979264e+123
 1.71946435e+112
 1.94911481e+98
 1.81794528e+90
 1.41121865e+83
 5.00676500e+73
 1.56057127e+71
 1.32162134e+82
 1.96109665e+79
 3.30731693e+84
 2.69781667e+117
 3.41492099e+101
 2.19992977e+79
 2.74724065e+80
 2.84252119e+88
 1.87881068e+103
 4.96887440e+106
 9.63379654e+125
 2.93447760e+132
 7.90856308e+109
 1.06829711e+119
 6.67059662e+127
 2.00725702e+100
 3.86198237e+105
 1.88669642e+174
 5.88624814e+162
 1.99558602e+116
 2.98836944e+111
 7.24180240e+140
 9.90894054e+227
 8.78306090e+298
 Inf
 Inf
 Inf
 Inf
 1.47924909e+161
 Inf
 Inf
 3.16572121e+260
 Inf
 Inf
 1.74991687e+290
 8.80089906e+288
 1.06582123e+221
 1.60257111e+164
 1.07410430e+125
 8.90101538e+127
 1.09857973e+158
 1.38454671e+119
 1.48618406e+110
 3.64537984e+160
 2.40453027e+149
 4.26471853e+138
 3.25691857e+152
 2.40236726e+101
 2.18558986e+88
 3.68361659e+96
 1.96251224e+116
 3.67983255e+167
 5.28898833e+149
 3.62808615e+120
 1.97877914e+116
 3.88125074e+105
 7.24558327e+146
 1.29241736e+140
 8.23576053e+100
 3.09521343e+80
 3.71976039e+81
 4.82800019e+101
 4.28285105e+110
 2.31377984e+134
 3.63862193e+121
 4.15630217e+112
 3.75823357e+127
 2.80066990e+120
 3.09952220e+113
 1.04322185e+64
 9.65838050e+61
 1.06182512e+138
 1.34878921e+193
 4.37122701e+170
 7.97478121e+121
 1.44996986e+102
 1.36523464e+119
 1.91080416e+118
 1.44870889e+102
 5.38582345e+95
 2.48093036e+99
 1.91370105e+166
 1.92506892e+157
 4.21796393e+99
 6.81708423e+93
 3.59670408e+86
 1.65980256e+88
 3.83643736e+113
 3.23144803e+98
 5.55158809e+76
 4.97426199e+93
 4.96075827e+127
 1.84581892e+125
 3.20327086e+105
 1.39217482e+101
 1.19534102e+129
 6.35016706e+131
 3.83026117e+115
 2.94295788e+141
 5.61860680e+136
 1.20431655e+109
 5.97847189e+120
 1.18481399e+128
 3.39837085e+100
 1.88805405e+103
 7.70257638e+120
 1.01643934e+120
 8.37755597e+99
 2.86393142e+88
 7.06542040e+111
 2.98261134e+135
 2.09788286e+137
 9.57485290e+151
 1.33917952e+117
 2.28874475e+96
 6.01633016e+96
 8.02669630e+112
 6.04652025e+96
 6.77238552e+83
 1.18720805e+114
 9.71750691e+114
 1.89627140e+114
 1.00280548e+105
 2.63748365e+97
 2.73723404e+106
 Inf
 Inf
 1.94064169e+115
 4.37367333e+134
 1.22122497e+105
 1.30476465e+103
 1.66611034e+153
 7.41842812e+256
 3.41783278e+197
 1.24070839e+169
 4.07093724e+208
 9.25006810e+126
 7.90895903e+121
 3.34994590e+169
 1.62864439e+146
 7.88806185e+172
 Inf
 1.06088876e+226
 2.60040090e+150
 1.91861312e+157
 1.28918252e+126
 1.20473563e+110
 2.12469743e+127
 1.72999860e+122
 3.60454259e+145
 2.19842612e+156
 8.66737233e+131
 1.48102229e+109
 1.49845414e+93
 8.28498622e+122
 2.56363412e+140
 4.95656830e+90
 2.19280289e+79
 9.38806623e+94
 3.33233354e+106
 2.09910441e+90
 4.83037818e+80
 2.01323758e+83
 7.28000054e+73
 4.79655032e+80
 1.18001272e+92
 7.46255524e+75
 3.42980805e+80
 3.47650413e+99
 1.67214135e+100
 1.96488963e+113
 1.10073973e+138
 1.91578336e+194
 3.06597532e+138
 4.66974391e+120
 1.20446689e+114
 6.83201040e+104
 1.97656394e+87
 2.10369168e+81
 4.70263952e+119
 5.07601371e+191
 9.29468376e+185
 1.58186987e+147
 4.85235102e+217
 Inf
 Inf
 4.45201639e+299
 2.60408864e+153
 4.55337961e+107
 4.37985427e+87
 4.77300560e+103
 9.01032907e+102
 2.76235550e+91
 6.00855708e+97
 1.01636440e+104
 1.57069487e+128
 1.98268199e+116
 2.75256994e+103
 2.97618997e+111
 3.40950974e+101
 9.02169086e+106
 1.89130729e+115
 1.02204042e+104
 4.87359408e+101
 7.60300445e+113
 1.06968133e+119
 2.99066021e+111
 1.99246809e+101
 2.67800126e+96
 3.50148836e+99
 9.93487977e+120
 9.10394256e+160
 3.82643976e+122
 2.27406905e+110
 1.38626094e+131
 3.35792873e+147
 1.73769736e+122
 4.54075805e+98
 1.18863771e+92
 3.16992296e+105
 2.41327095e+125
 2.93397565e+132
 1.14534543e+135
 1.20710098e+110
 2.16569808e+105
 3.22390104e+98
 3.66273255e+97
 2.39069991e+111
 2.10163585e+128
 4.13975445e+135
 1.56546314e+148
 2.09023343e+141
 2.14330197e+127
 9.89784584e+96
 7.59585487e+80
 7.03274753e+96
 1.46526282e+105
 7.29046453e+77
 1.90666197e+66
 2.69419632e+79
 7.75776980e+89
 4.28997961e+88
 8.06308579e+94
 1.93837495e+98
 1.46546557e+143
 4.26583518e+196
 1.78400863e+119
 3.93678967e+95
 1.01551134e+104
 2.30053178e+98
 1.84955803e+92
 1.19801294e+102
 2.74195648e+106
 8.25699012e+104
 3.81663724e+98
 1.52039746e+108
 2.95880418e+99
 5.70362518e+87
 1.16884442e+98
 1.55056930e+116
 9.42511742e+129
 9.32950477e+93
 2.87914238e+92
 1.30680201e+85
 1.88062815e+75
 4.21567905e+90
 1.47130835e+110
 1.29839644e+144
 4.83042605e+133
 7.04215321e+101
 1.39042986e+101
 8.31258030e+118
 1.10740119e+107
 1.25887855e+113
 1.57725453e+113
 1.50001906e+93
 1.25364263e+83
 2.76443022e+86
 1.97433322e+101
 5.10737038e+97
 3.88052358e+92
 1.72336812e+102
 7.10755734e+111
 1.23101806e+116
 2.16939681e+105
 7.70868720e+120
 1.12854280e+180
 3.81253344e+127
 1.00608224e+105
 4.28798966e+110
 7.37385177e+132
 4.02493120e+208
 8.61480192e+188
 9.75952256e+171
 3.69082619e+162
 1.85891653e+125
 1.21076827e+127
 3.80694461e+150
 1.72806547e+150
 8.39025850e+138
 2.32145132e+139
 5.20221533e+156
 1.57325890e+148
 5.97761575e+138
 8.63623692e+131
 1.22056285e+105
 8.27218484e+107
 8.28718060e+138
 7.65549008e+130
 5.65893051e+130
 1.25716702e+106
 4.17917879e+109
 4.21421724e+151
 1.44331527e+152
 1.60222630e+189
 1.66577284e+139
 1.23960042e+116
 5.39418330e+123
 2.15276637e+117
 2.73470675e+117
 2.54368916e+131
 1.13213887e+132
 2.95260525e+157
 3.65706823e+140
 5.26158990e+145
 2.03902055e+190
 1.60230611e+227
 3.93227050e+190
 1.66628247e+168
 2.74532563e+235
 3.22198087e+166
 6.50220845e+158
 8.12552055e+250
 4.73515647e+172
 4.12737544e+164
 4.42246006e+143
 2.31518889e+130
 1.10676061e+138
 6.32260419e+143
 9.19432439e+185
 2.24850902e+183
 3.55476349e+133
 1.56740513e+116
 2.38993074e+188
 8.26456224e+222
 1.61180101e+132
 Inf
 Inf
 8.58919692e+138
 2.42321800e+184
 4.71195405e+204
 1.07890529e+204
 5.05939191e+185
 1.22799862e+142
 1.15982111e+150
 9.50628664e+129
 3.70473118e+107
 2.29614335e+108
 4.96529083e+99
 1.40437919e+100
 3.16345055e+134
 3.67843606e+160
 1.04021556e+141
 7.05775082e+129
 5.95092134e+138
 5.75752867e+105
 1.77875490e+95
 1.01783678e+96
 3.18675039e+91
 1.51590314e+108
 8.33456578e+118
 4.02829367e+116
 2.81073200e+128
 6.54278475e+173
 1.45791705e+162
 1.83084609e+140
 8.37153908e+138
 9.04547714e+133
 9.47291292e+129
 1.38024069e+133
 6.55341595e+173
 1.49974635e+160
 6.54184106e+116
 1.85357949e+123
 5.77534232e+160
 7.35679842e+194
 3.74575436e+200
 1.03705533e+235
 8.12306110e+238
 7.45450695e+194
 2.08911713e+205
 2.96445473e+267
 1.68495962e+175
 3.61271867e+124
 2.52979679e+164
 5.72687014e+202
 8.28767721e+222
 2.72041998e+191
 4.04225622e+132
 3.05663208e+143
 2.55636251e+153
 6.64777915e+178
 3.64573449e+247
 7.12795927e+192
 5.75393698e+150
 8.47324801e+166
 3.80105451e+182
 3.42819045e+148
 1.03993906e+143
 2.51337158e+03
 2.51631522e+03
 2.51551579e+03
 2.51349621e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51074189e+271
 3.88543395e+289
 1.59685155e+292
 5.86534126e+244
 3.71529848e+304
 3.85622507e+268
 Inf
 Inf
 Inf
 8.14273007e+219
 4.09571974e+183
 Inf
 Inf
 3.83139665e+297
 Inf
 4.16259147e+208
 6.69534566e+164
 7.84579223e+149
 1.21200936e+114
 2.79462537e+121
 4.88103636e+152
 2.75917989e+172
 6.65856403e+164
 6.07623848e+159
 7.28316731e+154
 5.98573598e+138
 4.07715804e+137
 1.22513277e+178
 2.58501404e+150
 1.65318623e+168
 1.90085590e+265
 4.13181337e+208
 4.32785243e+196
 2.45650703e+271
 2.34901544e+177
 3.80277968e+128
 2.90621752e+129
 8.41968040e+175
 Inf
 Inf
 Inf
 2.18297785e+300
 2.53855227e+221
 7.71200430e+296
 Inf
 Inf
 Inf
 7.46254955e+255
 1.72604649e+240
 Inf
 3.21915019e+284
 9.16167568e+199
 9.22704350e+216
 2.11316083e+211
 2.36332418e+266
 1.44450057e+246
 7.46039945e+194
 6.89458817e+230
 4.14102381e+229
 2.26250010e+183
 2.03673486e+180
 9.55934220e+159
 8.25506094e+110
 2.41459557e+123
 2.46814765e+142
 1.71387917e+158
 2.50876103e+228
 7.55646433e+256
 1.85577572e+200
 2.57264692e+164
 2.55340133e+258
 Inf
 1.06542937e+226
 7.12355514e+177
 4.78676320e+273
 4.05311742e+216
 3.04205163e+135
 4.34388429e+70
 2.22374265e+87
 Inf
 3.96849266e+234
 1.48152210e+234
 2.44636946e+243
 7.71053543e+215
 3.80201648e+194
 4.47850562e+184
 2.28502672e+167
 2.55883747e+164
 5.20330266e+166
 2.04488979e+169
 2.17078295e+196
 Inf
 Inf
 3.71034429e+140
 4.45863255e+117
 1.90999761e+118
 4.66579430e+104
 5.30983717e+110
 2.41794393e+125
 2.81813220e+128
 2.11273956e+128
 3.00663837e+114
 2.16520705e+120
 3.93237047e+155
 8.43657780e+122
 1.11262545e+93
 7.57552731e+113
 2.30399643e+139
 5.04912764e+128
 1.37654113e+119
 3.90987021e+144
 2.41603777e+188
 3.78543098e+194
 3.62597380e+180
 2.04919985e+171
 4.55863247e+188
 1.14912417e+180
 5.65772201e+136
 6.36257052e+131
 5.71907608e+171
 4.07354599e+208
 3.39782189e+197
 1.10494230e+149
 3.27397104e+139
 1.39805562e+131
 2.09553838e+137
 1.57377344e+159
 9.36666573e+162
 9.00381454e+199
 5.07188924e+146
 7.44837860e+132
 2.29632845e+162
 2.77828708e+106
 3.84229813e+104
 7.85204804e+137
 5.20867736e+126
 7.72290400e+115
 8.88418633e+111
 2.39028396e+115
 1.11259134e+95
 1.03374266e+90
 1.43518274e+102
 1.15832409e+97
 6.73251435e+107
 1.27316152e+126
 2.57159095e+133
 5.95667690e+138
 1.81093985e+104
 3.28337418e+83
 4.24752343e+110
 2.07087564e+124
 1.97974371e+113
 1.20631253e+127
 6.09919781e+121
 1.17312599e+118
 1.26314411e+113
 1.68590952e+126
 1.04819910e+117
 9.96127270e+99
 1.32015324e+122
 3.89294634e+129
 2.47280368e+142
 1.06617180e+148
 6.71839023e+127
 7.37605150e+148
 6.71950662e+127
 7.76219317e+120
 1.00896441e+133
 6.69630935e+127
 1.01290090e+113
 1.25704189e+111
 1.27467176e+126
 3.10400428e+113
 3.18270640e+104
 2.62717538e+104
 2.48836112e+99
 9.82544999e+96
 4.25590360e+90
 5.83243732e+93
 2.80408818e+108
 4.29286761e+110
 5.73001317e+111
 1.20567172e+127
 3.63223134e+121
 7.76302822e+136
 1.61740924e+146
 3.74460976e+119
 2.40552542e+184
 Inf
 6.99347777e+182
 2.76025813e+98
 3.83188707e+104
 1.22237838e+157
 2.39331163e+163
 4.42491539e+134
 6.11031273e+121
 1.50634970e+115
 3.87675312e+113
 1.69748453e+158
 2.48823149e+251
 3.81803327e+194
 1.08790879e+190
 1.16158304e+262
 2.00587335e+210
 8.99992684e+153
 5.03488575e+146
 7.33262632e+183
 2.44964172e+184
 3.29369518e+139
 2.33370073e+134
 Inf
 8.69049558e+196
 3.97875002e+95
 1.49944638e+114
 3.01637781e+107
 2.44024664e+95
 1.05375231e+99
 1.71242043e+94
 3.34037112e+92
 2.07337453e+95
 9.89468091e+99
 1.57366046e+124
 3.16613713e+123
 4.86905306e+113
 9.98689646e+120
 4.64998424e+120
 1.97788282e+113
 2.15868658e+121
 6.29182762e+143
 1.19050600e+145
 4.46256166e+117
 1.52532588e+106
 1.08579044e+123
 7.75259218e+120
 1.19456994e+115
 4.71308556e+105
 2.62536073e+104
 9.95443890e+120
 2.07651047e+217
 Inf
 Inf
 2.51342602e+03
 2.51378372e+03
 2.51368534e+03
 2.51384357e+03
 2.51368919e+03
 2.51351633e+03
 2.51351052e+03
 2.51348057e+03
 2.51329161e+03
 2.51327414e+03
 2.51327548e+03
 2.51331288e+03
 2.51329666e+03
 2.51341837e+03
 2.51368791e+03
 2.51329666e+03
 Inf
 Inf
 Inf
 2.51327659e+03
 2.51332965e+03
 2.51327939e+03
 2.51330544e+03
 2.51343626e+03
 2.51345690e+03
 2.51344766e+03
 2.51344029e+03
 2.51343070e+03
 2.51348602e+03
 2.51359754e+03
 2.51348602e+03
 2.51353325e+03
 2.51341536e+03
 2.51329032e+03
 2.51331689e+03
 2.51345267e+03
 2.51342913e+03
 2.51329214e+03
 2.51327460e+03
 2.51338638e+03
 2.51364074e+03
 2.51349248e+03
 2.51348513e+03
 2.51334146e+03
 2.51330580e+03
 2.51345520e+03
 2.51349622e+03
 Inf
 5.72822367e+264
 Inf
 2.51327640e+03
 2.51334942e+03
 2.51345183e+03
 2.51328697e+03
 2.51327419e+03
 2.51328401e+03
 2.51327570e+03
 2.51329295e+03
 2.51338242e+03
 2.51336487e+03
 2.51347787e+03
 2.51336428e+03
 2.51328077e+03
 2.51349621e+03
 2.51388326e+03
 2.51385857e+03
 2.51346549e+03
 2.51339521e+03
 2.51341239e+03
 2.51354038e+03
 2.51354355e+03
 2.51331566e+03
 2.51329378e+03
 2.51347075e+03
 2.51374338e+03
 2.51356023e+03
 2.51344684e+03
 2.51348237e+03
 2.51345267e+03
 2.51362055e+03
 2.51361465e+03
 2.51340945e+03
 2.51353022e+03
 2.51364436e+03
 2.51353325e+03
 2.51334888e+03
 2.51350282e+03
 2.51353225e+03
 2.51329975e+03
 2.51327484e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 3.15207614e+232
 1.12278643e+155
 1.96152315e+206
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327631e+03
 2.51332328e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327452e+03
 2.51330943e+03
 2.51330337e+03
 2.51327520e+03
 2.51329109e+03
 2.51329322e+03
 2.51328093e+03
 2.51328342e+03
 Inf
 3.81009582e+304
 Inf
 Inf
 Inf
 2.51327414e+03
 Inf
 3.22490173e+284
 Inf
 Inf
 3.21156084e+284
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51334565e+03
 2.51330759e+03
 2.51337408e+03
 2.51347252e+03
 2.51333297e+03
 2.51330269e+03
 Inf
 Inf
 2.51341462e+03
 2.51371653e+03
 2.51386326e+03
 2.51351927e+03
 2.51353934e+03
 2.51374884e+03
 2.51341761e+03
 2.50873626e+03
 2.51378940e+03
 2.51347075e+03
 2.51331406e+03
 2.51329032e+03
 2.51356773e+03
 2.51451187e+03
 2.51380957e+03
 2.51378380e+03
 2.51478177e+03
 2.51507308e+03
 2.51496520e+03
 2.51434532e+03
 2.51379513e+03
 2.51377249e+03
 2.51393392e+03
 2.51416623e+03
 2.51392587e+03
 2.51345520e+03
 2.51334888e+03
 2.51357750e+03
 2.51363237e+03
 2.51382718e+03
 2.51412173e+03
 2.51393553e+03
 2.51372317e+03
 2.51358967e+03
 2.51382866e+03
 2.51406770e+03
 2.51419083e+03
 2.51410350e+03
 2.51480136e+03
 2.51455644e+03
 2.51358633e+03
 2.51356563e+03
 2.51376682e+03
 2.51363235e+03
 2.51346031e+03
 2.51364921e+03
 2.51383610e+03
 2.51378369e+03
 2.51343546e+03
 2.51334997e+03
 2.51349062e+03
 Inf
 2.97770349e+214
 2.52312351e+251
 Inf
 Inf
 1.03877736e+306
 Inf
 2.35685305e+253
 3.81877850e+194
 Inf
 Inf
 2.11837992e+179
 5.03837319e+185
 9.38670513e+155
 2.92349308e+129
 1.93949938e+166
 4.40944145e+176
 1.96206930e+166
 3.89227648e+190
 2.56909323e+164
 3.38381413e+147
 2.81861575e+195
 Inf
 2.23965220e+61
 2.33085863e+56
 9.14791847e+286
 4.16761041e+229
 2.06383217e+181
 1.00301797e+228
 2.80038589e+259
 3.72393084e+304
 2.51342757e+03
 2.51328765e+03
 3.87749377e+167
 2.48990589e+221
 Inf
 4.67280818e+231
 3.77275352e+187
 1.00442462e+228
 Inf
 Inf
 Inf
 Inf
 7.66838286e+283
 Inf
 Inf
 Inf
 Inf
 Inf
 3.92734596e+268
 5.71783833e+174
 6.92801249e+243
 Inf
 Inf
 2.99514420e+249
 2.80946066e+259
 1.25423920e+183
 1.02631020e+212
 2.34106948e+256
 2.90715448e+214
 5.59700729e+233
 8.50560458e+258
 1.03632206e+261
 8.15023700e+238
 Inf
 Inf
 Inf
 1.83407688e+283
 Inf
 2.51328213e+03
 2.51328195e+03
 Inf
 Inf
 2.51329214e+03
 2.51329787e+03
 Inf
 1.01581511e+194
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327514e+03
 2.51338439e+03
 2.51334512e+03
 Inf
 2.51329757e+03
 2.51334834e+03
 2.51327507e+03
 2.51332372e+03
 2.51330723e+03
 Inf
 Inf
 Inf
 5.57307578e+306
 Inf
 Inf
 1.11105247e+248
 1.05841990e+230
 7.67971862e+200
 6.90271478e+230
 Inf
 Inf
 1.36017969e+285
 1.79820735e+231
 7.46476072e+252
 2.71707798e+250
 Inf
 Inf
 5.46746160e+236
 1.38065473e+269
 2.51329607e+03
 2.51369433e+03
 2.51340945e+03
 2.51349809e+03
 2.51359079e+03
 2.51343149e+03
 2.51349715e+03
 2.51356665e+03
 2.51364557e+03
 2.51377946e+03
 2.51357097e+03
 2.51344355e+03
 2.51353325e+03
 2.51357423e+03
 2.51347252e+03
 2.51343149e+03
 2.51336790e+03
 Inf
 2.72966377e+158
 1.47520901e+141
 8.45174761e+166
 1.23422283e+169
 Inf
 2.51332240e+03
 2.51336851e+03
 2.51334354e+03
 2.51332328e+03
 2.51354657e+03
 2.51343626e+03
 Inf
 Inf
 Inf
 2.51327548e+03
 6.98065780e+270
 1.39823315e+303
 7.59305817e+283
 2.64157413e+170
 1.02990072e+235
 Inf
 Inf
 Inf
 2.51327883e+03
 2.51332687e+03
 2.51330869e+03
 2.51327998e+03
 2.51328652e+03
 2.51343387e+03
 2.51365043e+03
 2.51340799e+03
 2.51327733e+03
 2.51328565e+03
 2.51333541e+03
 2.51336250e+03
 2.51327507e+03
 2.51327469e+03
 2.51345016e+03
 2.51327680e+03
 1.28112238e+178
 7.60303108e+114
 1.38849453e+131
 9.15543089e+185
 1.71845852e+225
 4.03111453e+227
 1.51213227e+163
 2.02848433e+180
 5.76527811e+244
 2.13781875e+233
 3.93512421e+190
 2.19054018e+121
 2.02105407e+107
 1.67079685e+155
 4.60485835e+211
 2.42256578e+149
 3.35051738e+112
 3.17057129e+116
 9.66678497e+125
 2.93448472e+132
 1.06512858e+165
 6.15778609e+163
 7.96809818e+135
 1.02019834e+120
 1.90459810e+97
 1.40798521e+84
 4.76567164e+100
 8.42775757e+103
 5.91948903e+89
 1.98437719e+100
 9.17785646e+123
 2.99472040e+135
 1.21389195e+127
 3.51640759e+133
 2.09687369e+137
 6.36348609e+131
 2.30880418e+130
 1.68399093e+153
 1.12095365e+153
 2.32865385e+139
 6.60790208e+164
 4.60975125e+157
 7.68437213e+130
 2.82224579e+128
 6.44048450e+122
 1.06484089e+125
 1.02648346e+230
 Inf
 1.46625066e+246
 8.24034354e+184
 4.83342748e+223
 2.26254664e+204
 3.70925574e+162
 2.51437016e+03
 2.51583650e+03
 2.51327968e+03
 Inf
 2.31563125e+212
 2.05889222e+171
 9.38411236e+169
 2.51717919e+228
 1.98968654e+206
 7.45171090e+165
 2.62948169e+218
 1.19872680e+203
 5.07378135e+146
 4.99949757e+185
 Inf
 Inf
 Inf
 3.79558722e+304
 4.62977827e+165
 4.84999860e+133
 7.78997756e+149
 1.62096985e+149
 1.87633145e+208
 5.19403273e+191
 3.44224556e+109
 6.51234351e+118
 6.51826890e+173
 9.29231636e+205
 4.98311903e+269
 1.57277347e+308
 4.52963713e+199
 3.36085486e+215
 2.51442500e+221
 4.37270962e+210
 1.13586898e+174
 9.52086579e+210
 Inf
 1.45451020e+246
 1.92100083e+192
 1.60295992e+227
 1.99834293e+236
 2.02897140e+187
 2.20978444e+199
 2.35738345e+266
 2.51352323e+03
 2.51364076e+03
 Inf
 1.11090963e+248
 1.61712394e+227
 2.29455611e+212
 9.24720029e+259
 Inf
 Inf
 1.08986705e+238
 Inf
 9.29599072e+271
 2.30472256e+254
 Inf
 Inf
 Inf
 Inf
 7.06880151e+243
 4.04142078e+227
 Inf
 Inf
 8.37702228e+250
 1.17454466e+262
 3.02592737e+242
 3.42904805e+272
 3.02946555e+242
 1.30868057e+140
 6.99994496e+105
 4.75917104e+119
 9.24099968e+155
 4.28209803e+196
 2.50620246e+221
 7.52098118e+168
 4.41187335e+176
 1.34868138e+198
 9.56776198e+210
 4.18527522e+209
 2.28861826e+212
 Inf
 Inf
 3.54394814e+261
 4.44954437e+205
 5.58835537e+233
 2.66316839e+218
 2.69695247e+230
 3.15856111e+284
 Inf
 4.42332961e+282
 9.39077403e+185
 1.58186811e+147
 5.50443857e+233
 4.32307538e+299
 6.64786699e+201
 6.70793203e+265
 1.72950056e+290
 2.11312418e+205
 9.69311190e+151
 7.27109195e+154
 2.85339139e+175
 9.06054682e+209
 9.58665399e+210
 1.92517846e+209
 5.76495340e+189
 1.93257593e+157
 2.72875434e+185
 4.57677867e+165
 1.72290450e+158
 4.91766631e+269
 Inf
 4.59284544e+168
 3.65264191e+192
 1.03537365e+235
 2.88856327e+224
 4.19352137e+209
 1.53527654e+136
 2.30501662e+148
 1.58393847e+135
 6.37578950e+151
 1.31436133e+144
 1.20918893e+110
 1.00799578e+113
 1.87450181e+133
 8.87319949e+153
 1.08784347e+137
 1.02859317e+122
 6.14758190e+119
 4.38023915e+134
 1.16363819e+179
 3.61619355e+180
 1.13068303e+174
 1.34793129e+198
 5.36089650e+236
 3.47126207e+261
 4.81607610e+240
 1.69105791e+245
 2.69633159e+275
 1.57096490e+280
 5.85844181e+244
 Inf
 Inf
 3.18367093e+232
 6.80355294e+197
 7.02208975e+224
 1.99711410e+210
 1.35021393e+263
 2.48503759e+271
 5.85298694e+244
 8.62330361e+196
 4.31945077e+196
 3.74984880e+241
 Inf
 2.51336428e+03
 2.51348420e+03
 2.51355706e+03
 2.51344355e+03
 2.51334354e+03
 2.51348878e+03
 2.51353427e+03
 2.51355811e+03
 2.51353629e+03
 Inf
 4.02050016e+279
 Inf
 7.36121578e+253
 1.85521261e+200
 1.04169485e+287
 2.46182628e+243
 9.28634348e+216
 3.11112063e+232
 1.10291491e+199
 5.31391163e+149
 4.16096357e+135
 9.88789414e+227
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.04682396e+210
 3.44593680e+222
 1.01828251e+306
 Inf
 Inf
 Inf
 3.40757581e+293
 6.05515747e+221
 4.59903357e+165
 6.39871330e+131
 9.58970793e+174
 2.91664384e+249
 4.93020502e+245
 3.88967260e+279
 5.41142797e+301
 1.59897847e+292
 2.79990518e+235
 Inf
 Inf
 2.38465224e+256
 1.05946938e+230
 3.34042332e+293
 2.49376740e+271
 1.76782868e+216
 Inf
 Inf
 1.04446533e+306
 2.90965744e+224
 2.97538541e+267
 Inf
 4.38025423e+299
 2.73089743e+250
 8.88303316e+207
 2.82380946e+86
 4.85083707e+78
 1.67492774e+130
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 1.81455842e+140
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 1.14395201e+135
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 3.91899229e+144
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 5.94214098e+85
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 1.47168209e+109
 2.75202767e+109
 4.01653844e+116
 2.15507834e+92
 1.33402942e+82
 3.73208715e+88
 7.42207330e+87
 2.72525899e+103
 4.87282872e+101
 2.65631251e+81
 1.46603171e+89
 1.64351015e+96
 2.83554650e+101
 6.80514907e+104
 3.75539033e+114
 1.57686163e+128
 2.92277530e+122
 3.62772441e+121
 2.91090988e+137
 4.90543795e+152
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 4.52178353e+188
 7.18029652e+294
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 1.22269242e+142
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 9.17722067e+209
 4.59264079e+165
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 4.08032081e+136
 3.16734717e+166
 2.29429635e+253
 2.55560737e+213
 9.12492479e+209
 2.51332197e+03
 2.51340223e+03
 3.18513679e+242
 Inf
 7.40221937e+255
 1.75171596e+150
 6.64228452e+178
 7.42119584e+165
 7.37132760e+146
 2.10081951e+182
 5.06635324e+212
 1.92190235e+265
 Inf
 2.51330202e+03
 Inf
 3.54343309e+295
 2.77911712e+185
 4.90233281e+217
 2.58640509e+258
 2.34648565e+177
 1.08448510e+190
 6.52791632e+158
 1.73098314e+150
 1.48492480e+185
 2.32552259e+177
 3.74184378e+187
 6.12092906e+155
 1.89523375e+133
 8.62462931e+131
 1.71905995e+145
 3.04139393e+138
 2.91561332e+136
 1.34805039e+193
 7.08712549e+303
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.06086679e+287
 1.14624727e+213
 2.69841212e+158
 1.58699268e+164
 6.12849312e+167
 2.07728031e+205
 8.22340836e+250
 1.06722743e+268
 2.00880772e+236
 1.11112468e+196
 1.45171522e+195
 Inf
 Inf
 3.85097192e+194
 2.08901770e+205
 7.21069773e+294
 2.45408733e+286
 1.14618499e+213
 5.99852606e+221
 7.05073057e+224
 2.29382054e+212
 1.10769385e+196
 6.89621398e+230
 4.54724900e+287
 1.74296088e+225
 1.70994853e+197
 4.95660323e+175
 1.14659762e+181
 2.00039074e+116
 4.74210460e+114
 1.66011828e+240
 Inf
 4.08625253e+276
 2.01060865e+236
 8.92756849e+249
 1.04503169e+235
 8.00615255e+219
 1.88429157e+220
 1.82362631e+270
 3.07427907e+189
 8.40427738e+134
 4.19869556e+130
 5.18894767e+156
 2.58511274e+140
 4.71412114e+124
 2.28641464e+147
 6.07462798e+155
 6.82627993e+230
 1.80051812e+298
 3.79011127e+200
 6.53743065e+158
 6.35170096e+143
 4.99518277e+185
 1.04330618e+282
 Inf
 Inf
 Inf
 7.82389196e+290
 8.32153944e+250
 2.41198196e+252
 9.04268768e+206
 2.65252768e+218
 7.23137057e+294
 3.80087082e+241
 2.47751629e+271
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.73320846e+245
 Inf
 Inf
 1.86146954e+274
 Inf
 Inf
 5.04431148e+217
 1.90407392e+208
 Inf
 8.58637427e+258
 Inf
 Inf
 7.12799381e+274
 Inf
 2.51328481e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 1.96286902e+305
 Inf
 2.51330687e+03
 2.51327968e+03
 2.51327570e+03
 2.51327805e+03
 2.51333012e+03
 2.51353426e+03
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 2.51403788e+03
 2.51368663e+03
 2.51350953e+03
 2.51363354e+03
 2.51361471e+03
 2.51333443e+03
 Inf
 2.51327578e+03
 2.51327507e+03
 Inf
 Inf
 2.51327817e+03
 Inf
 2.51328045e+03
 2.51339452e+03
 2.51373930e+03
 2.51391311e+03
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 2.51393070e+03
 2.51419653e+03
 2.51446152e+03
 2.51389729e+03
 2.51359867e+03
 2.51379512e+03
 2.51374609e+03
 2.51358411e+03
 2.51347075e+03
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 2.51405710e+03
 2.51418136e+03
 2.51402058e+03
 2.51396830e+03
 2.51421959e+03
 2.51433304e+03
 2.51397992e+03
 2.51415311e+03
 2.51386783e+03
 2.51333941e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327435e+03
 Inf
 9.03207745e+249
 2.51332506e+03
 2.51327998e+03
 7.28402750e+243
 Inf
 5.43949288e+236
 1.18509740e+224
 9.96495669e+204
 2.95630359e+137
 7.31174798e+183
 1.81898593e+274
 6.58469255e+214
 1.75566747e+216
 3.37010525e+215
 Inf
 Inf
 Inf
 Inf
 2.51333012e+03
 2.51330723e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331133e+03
 2.51332642e+03
 2.51329295e+03
 2.51327416e+03
 Inf
 2.51327768e+03
 2.51327650e+03
 Inf
 5.52953524e+306
 Inf
 Inf
 Inf
 Inf
 1.98657040e+265
 7.05538742e+187
 Inf
 Inf
 2.51327435e+03
 Inf
 Inf
 2.51329818e+03
 2.51332067e+03
 2.51328652e+03
 2.51327419e+03
 2.51327501e+03
 Inf
 3.08201137e+242
 Inf
 Inf
 2.51327412e+03
 2.51390359e+03
 2.51546868e+03
 2.51508082e+03
 2.51447019e+03
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 Inf
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 2.51346117e+03
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 Inf
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