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 3.53786634e+142
 Inf
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 Inf
 Inf
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 Inf
 Inf
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 4.13762884e+276
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 Inf
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 Inf
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 3.99730464e+227
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 Inf
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 Inf
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 2.33075205e+254
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 Inf
 2.34903185e+253
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 4.29735960e+225
 9.25972253e+139
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 3.33009696e+197
 Inf
 2.64235763e+226
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 2.51329295e+03
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 2.51339246e+03
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 Inf
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 2.51339452e+03
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 Inf
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 2.51334459e+03
 2.51354244e+03
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 Inf
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 1.38980009e+263
 Inf
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 4.00069676e+279
 1.10183676e+248
 1.15784409e+180
 2.42111098e+243
 Inf
 Inf
 Inf
 2.51327659e+03
 2.51327830e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327441e+03
 2.51329032e+03
 2.51328523e+03
 Inf
 8.65235125e+242
 Inf
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 7.40882821e+294
 2.39131838e+266
 2.30324203e+254
 2.96515686e+238
 1.12465634e+138
 7.39908841e+152
 Inf
 4.34243463e+225
 7.00095200e+243
 Inf
 2.74740026e+198
 4.21149013e+206
 7.52683216e+256
 Inf
 3.30936894e+67
 3.13168009e+68
 Inf
 Inf
 3.96785956e+279
 Inf
 Inf
 Inf
 1.21169110e+232
 5.00750742e+269
 1.44504203e+246
 2.26877519e+204
 4.44586629e+220
 9.60232015e+210
 Inf
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 Inf
 2.12616889e+205
 1.70513946e+197
 1.20964543e+166
 1.48951276e+109
 2.14565511e+132
 2.95855743e+141
 3.64420942e+121
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 2.49269341e+145
 5.10130644e+203
 1.34839963e+263
 7.46930405e+183
 2.40548897e+163
 1.53433259e+308
 Inf
 4.33704517e+225
 4.43123568e+205
 Inf
 Inf
 1.38751495e+263
 6.21074565e+277
 Inf
 Inf
 2.51327452e+03
 2.51332417e+03
 Inf
 7.22935721e+177
 8.53715701e+196
 1.34781670e+184
 3.66506853e+304
 Inf
 Inf
 2.66700380e+170
 7.66112293e+176
 Inf
 8.13996331e+137
 8.56297851e+137
 2.51327424e+03
 Inf
 3.87045622e+297
 Inf
 Inf
 4.92489327e+223
 Inf
 Inf
 4.91853985e+240
 6.81004781e+197
 Inf
 Inf
 2.51328323e+03
 2.51336073e+03
 2.51333153e+03
 2.51327427e+03
 2.51332417e+03
 2.51329666e+03
 2.51327479e+03
 Inf
 3.72304968e+161
 7.28089399e+142
 8.50889819e+150
 3.86575474e+159
 9.86277674e+191
 1.35111642e+202
 1.27979116e+214
 Inf
 Inf
 7.57373774e+190
 7.08942645e+177
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.75766726e+225
 7.46838321e+165
 4.35010575e+170
 5.73446845e+150
 8.39114883e+138
 4.58213057e+157
 2.98175540e+126
 3.32820951e+197
 Inf
 9.31646007e+161
 1.34134396e+122
 1.21075808e+124
 7.19055083e+170
 1.07523877e+165
 7.98218380e+137
 9.17707557e+185
 4.29607847e+151
 2.19360669e+104
 1.78201276e+105
 2.53417091e+150
 3.53586242e+133
 2.33036872e+134
 2.14879227e+196
 3.62699458e+180
 1.44022638e+156
 5.27739265e+149
 2.53394075e+176
 1.02480397e+212
 4.20782269e+246
 6.76132562e+265
 2.91408980e+307
 Inf
 7.64356786e+256
 1.34730838e+241
 1.48752605e+215
 9.25060773e+216
 Inf
 Inf
 Inf
 1.36956267e+263
 1.18881142e+224
 1.51156805e+163
 5.71613959e+137
 7.86870844e+172
 4.04609686e+177
 1.09216371e+137
 2.42171402e+184
 1.05366389e+268
 1.18963226e+179
 7.45933413e+148
 3.88819202e+237
 7.25673846e+292
 2.77428767e+144
 1.72552951e+150
 4.91059591e+175
 4.94548054e+152
 3.21943055e+125
 2.17103365e+199
 Inf
 2.38727006e+256
 3.69921597e+179
 9.23837715e+160
 3.87744919e+173
 4.78942398e+154
 4.92592323e+152
 1.43807233e+195
 4.51297997e+287
 2.79874121e+235
 1.78810737e+231
 Inf
 Inf
 2.56200455e+251
 2.51335498e+03
 2.51348878e+03
 2.81401220e+218
 5.64326833e+125
 2.16509456e+129
 4.39618587e+199
 1.22558784e+171
 1.74783865e+142
 1.04113898e+242
 5.78836240e+189
 7.30703984e+170
 5.02969123e+185
 1.47535019e+176
 3.36936066e+219
 2.79901128e+202
 2.45730530e+184
 6.15144455e+167
 2.77262420e+202
 5.98764482e+221
 4.20509426e+158
 3.97415220e+155
 3.74951838e+268
 Inf
 Inf
 1.46082774e+246
 2.16511150e+143
 3.71409053e+167
 2.04522371e+169
 1.83308755e+140
 4.03125337e+183
 7.00150918e+224
 2.19447664e+152
 2.30948443e+177
 2.83980884e+195
 2.28883620e+167
 6.91367950e+243
 8.74637420e+288
 1.08927344e+204
 6.43062174e+131
 2.38809683e+149
 4.67101044e+204
 7.65237048e+200
 1.47886543e+176
 8.42858224e+138
 5.58157711e+125
 8.30290649e+134
 8.01146515e+156
 3.72676658e+167
 1.09048256e+137
 2.67180801e+191
 4.23376478e+225
 1.84477335e+109
 7.86711257e+121
 2.85588416e+249
 3.69685849e+179
 1.59235272e+135
 6.99858531e+177
 1.01656849e+159
 1.34197277e+173
 1.20493412e+166
 2.18120275e+138
 4.87700837e+269
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328812e+03
 2.51328544e+03
 Inf
 Inf
 Inf
 Inf
 2.51328789e+03
 Inf
 Inf
 Inf
 Inf
 5.65231240e+264
 7.04585800e+274
 2.25028254e+239
 3.77265263e+167
 1.62920062e+129
 1.19174869e+166
 3.33643831e+215
 1.62191406e+189
 2.47759663e+203
 1.62200459e+229
 2.10007615e+205
 3.86510767e+150
 2.06753616e+205
 7.21029162e+292
 7.58491877e+283
 Inf
 Inf
 Inf
 Inf
 Inf
 4.84953100e+204
 1.92326207e+209
 Inf
 6.86427510e+265
 3.41662889e+219
 2.46828851e+271
 1.46631015e+237
 2.90068448e+307
 Inf
 Inf
 Inf
 2.69118835e+193
 3.16659750e+186
 Inf
 Inf
 1.32338183e+188
 3.20305474e+166
 7.40400448e+165
 4.45401214e+184
 9.31394515e+205
 Inf
 Inf
 Inf
 6.50296167e+280
 1.85982248e+200
 6.65044759e+173
 2.32067468e+177
 9.52807059e+210
 2.29947809e+173
 1.27902246e+151
 4.54577189e+165
 2.31515552e+162
 1.51561503e+137
 5.06159446e+193
 8.20339336e+250
 1.50958564e+185
 5.66272238e+174
 2.75014303e+235
 4.22396319e+246
 7.57723948e+256
 Inf
 9.85344558e+278
 6.58552519e+158
 2.17346059e+132
 8.26362610e+116
 2.08644256e+137
 Inf
 Inf
 7.76676053e+215
 4.36917130e+210
 1.48085872e+176
 2.33798635e+139
 9.84338964e+193
 1.36922769e+269
 Inf
 2.51327659e+03
 3.06480119e+249
 7.27083072e+292
 Inf
 Inf
 Inf
 Inf
 2.35038161e+253
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327424e+03
 Inf
 Inf
 2.51327527e+03
 2.51329578e+03
 Inf
 Inf
 2.51327414e+03
 Inf
 Inf
 Inf
 Inf
 2.51327722e+03
 2.51327650e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 1.08553792e+301
 Inf
 2.51328860e+03
 2.51327733e+03
 Inf
 Inf
 2.91311800e+224
 7.23946344e+292
 Inf
 Inf
 5.66509929e+233
 2.66125762e+193
 2.06115389e+190
 5.65992752e+169
 5.15798777e+191
 2.68877392e+250
 1.93165461e+207
 4.81253616e+154
 8.39773350e+138
 1.88268864e+192
 7.07460426e+192
 1.70525430e+120
 1.29334382e+121
 5.64183916e+202
 8.07969663e+238
 1.15678731e+180
 1.47266152e+215
 2.46169847e+184
 2.11693408e+137
 4.14368283e+158
 9.82953025e+115
 1.71058995e+150
 Inf
 4.69065708e+139
 4.04820950e+116
 1.20058885e+171
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.43155866e+280
 9.23862753e+271
 Inf
 Inf
 Inf
 8.95984603e+207
 1.67035965e+168
 2.28354818e+173
 1.83280299e+200
 Inf
 Inf
 8.17007491e+219
 1.01621826e+168
 Inf
 Inf
 Inf
 Inf
 1.85815077e+140
 1.65133844e+139
 9.61276864e+174
 5.66013155e+213
 9.67385959e+278
 Inf
 7.03192351e+230
 Inf
 Inf
 5.74346533e+169
 3.98275325e+155
 Inf
 2.51327438e+03
 1.09742432e+282
 2.00960663e+210
 7.41784090e+235
 5.40516734e+83
 4.08472129e+55
 4.15719836e+91
 2.95502570e+135
 9.02750878e+128
 5.23759494e+129
 1.20580087e+96
 1.89563312e+82
 1.99178962e+107
 2.09846609e+128
 1.61624490e+129
 1.79378065e+105
 7.15952806e+154
 Inf
 5.04195421e+147
 4.40755686e+143
 5.69841733e+244
 2.33123502e+147
 1.21788900e+124
 1.59704611e+79
 1.83623324e+68
 9.77750085e+97
 2.80895023e+108
 9.19818471e+155
 9.47603395e+210
 3.68260101e+181
 2.11906172e+217
 3.81151798e+268
 1.59272036e+292
 1.14673948e+213
 3.29905465e+152
 6.14083109e+163
 5.09037620e+142
 2.30335981e+177
 Inf
 3.31596163e+248
 1.04235960e+122
 1.12907550e+180
 8.16530788e+184
 1.44884982e+195
 4.76645407e+240
 1.35234847e+122
 2.54744902e+131
 2.25010862e+122
 9.35708032e+210
 Inf
 6.64115550e+158
 9.52142591e+159
 1.54992492e+201
 5.64651895e+285
 2.51327412e+03
 2.51330007e+03
 2.51328286e+03
 Inf
 1.40538037e+269
 Inf
 Inf
 9.08727835e+249
 Inf
 Inf
 2.85771011e+202
 Inf
 2.51328381e+03
 Inf
 2.51328160e+03
 2.51329214e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.74918612e+198
 2.71086600e+191
 2.84749118e+195
 6.89095666e+182
 2.27698527e+255
 Inf
 Inf
 4.29858740e+225
 9.33959970e+185
 2.77655305e+259
 2.60284934e+258
 3.17253284e+284
 Inf
 Inf
 Inf
 Inf
 Inf
 1.52290626e+99
 8.40582218e+97
 7.77164597e+232
 Inf
 Inf
 Inf
 Inf
 8.48851766e+266
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328421e+03
 Inf
 2.51343786e+03
 2.51404309e+03
 2.51327438e+03
 Inf
 2.51328231e+03
 Inf
 5.58325448e+301
 6.60007036e+214
 8.61006907e+150
 1.70230861e+117
 1.05810394e+148
 1.88812333e+192
 1.98585919e+236
 Inf
 Inf
 6.39026736e+280
 2.45016324e+286
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331446e+03
 2.51329757e+03
 2.51337982e+03
 2.51329241e+03
 Inf
 2.20658737e+300
 1.73394031e+240
 Inf
 2.51328161e+03
 2.51328421e+03
 Inf
 Inf
 2.51330169e+03
 2.51332733e+03
 Inf
 2.51329462e+03
 2.51335554e+03
 Inf
 Inf
 Inf
 Inf
 2.51327563e+03
 Inf
 Inf
 4.03773097e+234
 5.94748131e+153
 1.52824611e+308
 2.51328884e+03
 2.51339940e+03
 2.51338177e+03
 2.51339042e+03
 2.51332965e+03
 2.51330906e+03
 Inf
 Inf
 2.51328720e+03
 2.51327690e+03
 Inf
 2.86097075e+165
 6.14502310e+121
 1.54327842e+138
 5.96374272e+138
 1.68806814e+153
 7.34583741e+183
 2.74433818e+185
 4.00292161e+216
 Inf
 Inf
 3.98419905e+234
 Inf
 Inf
 5.17822051e+212
 3.63549772e+180
 2.36085776e+160
 1.10167074e+136
 3.32943342e+272
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328908e+03
 2.51335726e+03
 Inf
 Inf
 Inf
 3.82087782e+297
 6.98827232e+230
 1.59867025e+159
 1.89393553e+192
 Inf
 2.51327438e+03
 3.87269080e+304
 2.08570192e+190
 Inf
 Inf
 Inf
 9.42548164e+259
 4.14138750e+207
 8.34713939e+266
 4.57259262e+287
 7.79095858e+296
 4.58017586e+168
 3.98588737e+227
 Inf
 1.37890464e+202
 8.52470211e+242
 2.72710710e+302
 5.65576393e+233
 Inf
 Inf
 Inf
 Inf
 Inf
 4.26188700e+246
 Inf
 Inf
 Inf
 Inf
 Inf
 1.09360219e+238
 Inf
 Inf
 4.58778033e+168
 2.83440668e+195
 3.39843451e+272
 Inf
 Inf
 Inf
 Inf
 2.47904093e+257
 3.74907231e+160
 2.92364373e+119
 2.56644326e+133
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.07498008e+269
 1.57277498e+308
 Inf
 Inf
 Inf
 1.58484100e+308
 7.06791921e+243
 Inf
 Inf
 1.09897901e+238
 4.67824512e+211
 Inf
 Inf
 1.70561162e+245
 Inf
 Inf
 7.80922981e+176
 8.51979041e+166
 6.54718724e+181
 3.89352509e+173
 2.67259092e+230
 3.40790698e+197
 1.11476816e+158
 5.70652894e+144
 7.76669892e+257
 2.51335273e+03
 2.51328213e+03
 Inf
 7.44833310e+294
 6.52100214e+180
 Inf
 Inf
 Inf
 2.19784529e+233
 1.31458650e+121
 5.80515783e+162
 1.03791789e+226
 4.49473879e+199
 1.62086148e+229
 9.01801558e+206
 9.93999381e+204
 2.50655762e+142
 1.86554164e+123
 4.62432047e+111
 1.00206332e+105
 8.31662178e+196
 1.56216615e+201
 3.15736782e+154
 1.17131580e+182
 1.97455785e+206
 3.17295862e+186
 2.08582933e+205
 2.88140730e+307
 Inf
 Inf
 Inf
 Inf
 2.29924484e+204
 Inf
 Inf
 1.66478884e+229
 2.29152715e+254
 1.56920798e+308
 9.18864972e+128
 1.60879787e+127
 3.11352139e+186
 4.43059627e+220
 2.77591214e+235
 5.11081535e+212
 2.25901465e+204
 9.74273836e+174
 3.92603085e+262
 2.51359191e+03
 2.51359991e+03
 Inf
 4.87373440e+240
 8.23570854e+184
 5.66247140e+174
 3.98626810e+155
 2.85390975e+175
 1.71430478e+225
 Inf
 Inf
 5.58417204e+306
 4.06445415e+216
 5.35565987e+301
 Inf
 Inf
 Inf
 9.38343856e+271
 1.00686991e+194
 1.34549855e+263
 7.08788698e+224
 3.76285576e+200
 1.67285967e+175
 1.62876485e+149
 5.69499019e+189
 4.18877466e+246
 1.20051133e+232
 Inf
 Inf
 1.21781094e+203
 2.44659045e+188
 8.31074818e+266
 Inf
 1.65155716e+229
 9.01799277e+206
 Inf
 1.10495365e+248
 1.59225712e+147
 1.07831255e+119
 1.34105119e+154
 1.50774701e+118
 6.83195520e+89
 2.13446641e+129
 1.69612303e+134
 3.03082821e+107
 7.61891728e+113
 1.06193237e+125
 4.70311147e+121
 3.91590764e+126
 5.50296915e+195
 1.47736770e+215
 1.24443062e+178
 1.76941813e+231
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51338242e+03
 2.51328884e+03
 2.51329491e+03
 2.51332417e+03
 2.51327939e+03
 2.51327414e+03
 2.51334618e+03
 2.51350760e+03
 2.51328860e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.57754184e+294
 7.74941324e+215
 Inf
 6.75202306e+164
 1.83170007e+140
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.09297910e+204
 4.89452319e+245
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331327e+03
 2.51329462e+03
 Inf
 Inf
 Inf
 Inf
 7.34128732e+292
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.64743945e+189
 1.81144801e+270
 Inf
 Inf
 Inf
 Inf
 4.10478469e+276
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.87441776e+259
 5.71354572e+174
 1.83336827e+200
 7.20166933e+292
 2.77428829e+144
 4.84836414e+100
 1.00131606e+133
 2.23711173e+255
 Inf
 Inf
 2.13795561e+211
 1.55645406e+308
 Inf
 Inf
 Inf
 Inf
 2.34932888e+253
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327413e+03
 2.51329135e+03
 2.51327570e+03
 Inf
 Inf
 2.51330371e+03
 2.51328421e+03
 Inf
 Inf
 Inf
 3.57600610e+261
 1.09694000e+190
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329187e+03
 2.51328908e+03
 Inf
 2.51333106e+03
 2.51328884e+03
 Inf
 Inf
 2.51327417e+03
 2.51328362e+03
 2.51327501e+03
 2.51327745e+03
 2.51327413e+03
 Inf
 8.24610748e+238
 1.39135733e+303
 Inf
 4.33654487e+225
 2.61209270e+133
 1.54837030e+170
 5.28818895e+301
 Inf
 7.63959017e+256
 Inf
 Inf
 2.53134953e+271
 2.20239596e+196
 2.41486208e+286
 Inf
 Inf
 Inf
 2.51334302e+03
 2.51328401e+03
 Inf
 Inf
 Inf
 2.51329491e+03
 2.51328812e+03
 Inf
 Inf
 2.51327604e+03
 2.51327897e+03
 2.51327690e+03
 2.51337598e+03
 2.51345183e+03
 Inf
 Inf
 Inf
 Inf
 2.51327954e+03
 Inf
 Inf
 2.51327954e+03
 2.51335441e+03
 2.51335957e+03
 2.51333890e+03
 2.51329083e+03
 2.51330651e+03
 Inf
 Inf
 2.51336428e+03
 2.51342447e+03
 2.51338506e+03
 2.51334565e+03
 2.51339591e+03
 2.51341686e+03
 2.51333443e+03
 2.51334833e+03
 2.51327883e+03
 Inf
 Inf
 2.51331056e+03
 2.51345520e+03
 Inf
 Inf
 2.51336368e+03
 2.51332733e+03
 Inf
 Inf
 2.51328249e+03
 2.51328884e+03
 2.51328249e+03
 Inf
 2.51330474e+03
 2.51329241e+03
 Inf
 2.51331094e+03
 2.51339660e+03
 2.51328231e+03
 2.51328342e+03
 2.51333890e+03
 2.51327474e+03
 Inf
 Inf
 2.51327429e+03
 2.51327456e+03
 2.51336249e+03
 2.51354141e+03
 Inf
 3.86684626e+304
 4.70818451e+211
 1.60873799e+227
 2.44028300e+278
 Inf
 Inf
 Inf
 Inf
 1.10908996e+165
 1.89827432e+133
 Inf
 Inf
 8.97442326e+298
 Inf
 Inf
 2.51327432e+03
 2.51332779e+03
 2.51333541e+03
 2.51020643e+03
 2.51327533e+03
 2.51327422e+03
 2.51335273e+03
 2.51327998e+03
 2.51329007e+03
 2.51350568e+03
 2.51329135e+03
 Inf
 Inf
 2.51328884e+03
 2.16682275e+50
 2.13971020e+22
 6.25860642e+18
 5.00985704e+15
 4.54177645e+26
 4.81948659e+79
 1.35452749e+37
 1.65487068e+36
 1.19324467e+45
 7.03585047e+44
 6.76432736e+40
 2.22780583e+38
 1.49178497e+42
 3.40525926e+54
 9.19933751e+25
 5.62247667e+17
 2.09376132e+18
 6.87155142e+25
 2.25424947e+80
 1.13817088e+73
 1.09142395e+24
 7.13175179e+17
 4.53820926e+18
 9.89094928e+17
 3.70572798e+17
 3.15520515e+17
 8.65056141e+17
 1.31474541e+18
 2.10629858e+23
 2.97108000e+66
 3.29836957e+70
 2.53220429e+25
 5.88981064e+18
 7.18330539e+17
 3.53656480e+18
 6.55355102e+17
 5.09036079e+17
 8.47180183e+16
 4.36125300e+17
 2.16264373e+20
 2.61306048e+36
 1.10825264e+44
 8.60613604e+21
 6.50024136e+16
 3.60343613e+16
 6.51511642e+16
 3.23033748e+17
 6.96733597e+17
 1.06309026e+18
 4.38949324e+17
 1.38375428e+19
 1.42079242e+37
 5.72349349e+63
 9.08022033e+24
 3.87216800e+17
 9.16090044e+16
 3.62484004e+17
 4.58998557e+14
 8.95125100e+12
 6.27309438e+12
 6.55619208e+12
 5.70434145e+13
 6.46819994e+24
 6.96615377e+45
 3.83978011e+17
 8.74332620e+12
 4.73956627e+13
 1.61984534e+13
 7.69224576e+12
 9.55194500e+12
 2.23077810e+13
 9.53132710e+13
 4.96789182e+13
 1.99857170e+24
 1.58126712e+48
 3.54016057e+17
 4.41205869e+12
 1.45453596e+13
 4.19150573e+12
 4.07978003e+12
 5.36752423e+12
 6.96912996e+12
 6.11466779e+12
 3.46848341e+13
 3.60244696e+25
 3.85606259e+57
 3.96890697e+17
 3.14544043e+12
 1.83729198e+13
 9.33948718e+12
 1.06132539e+13
 4.05544346e+12
 3.20109159e+12
 1.62192221e+13
 6.45669777e+12
 2.67120961e+22
 1.79465590e+53
 5.12104700e+18
 1.40890559e+13
 2.51454129e+12
 1.67237424e+12
 5.29163232e+12
 3.77083971e+12
 1.50536697e+12
 1.61335046e+23
 2.51354554e+03
 2.51330269e+03
 5.21189355e+43
 4.58740859e+26
 2.69734312e+19
 1.29088206e+19
 3.57267961e+60
 2.20943529e+31
 1.06062428e+15
 5.07799774e+18
 8.79304209e+24
 4.54091555e+20
 4.48426377e+39
 2.28087741e+57
 9.15329833e+24
 2.05772571e+23
 6.47784486e+36
 2.28367737e+113
 1.85212200e+265
 5.11676383e+75
 3.37435374e+40
 3.30938437e+34
 1.44082681e+27
 3.35617270e+15
 3.18533017e+18
 2.45086740e+78
 1.52689121e+20
 9.13498839e+11
 1.71024308e+18
 1.93533160e+45
 1.03493130e+18
 1.24073050e+12
 2.05468658e+21
 Inf
 2.51328697e+03
 1.96231433e+25
 2.40716040e+18
 9.39336959e+52
 6.12205296e+43
 3.14526111e+41
 7.04919405e+258
 1.07134919e+27
 6.93687755e+19
 1.28063581e+26
 3.66932661e+24
 2.65806292e+26
 1.58176871e+27
 2.24643870e+26
 1.34963453e+23
 1.23215309e+24
 1.48287851e+50
 2.51328362e+03
 Inf
 1.12166568e+248
 3.47704358e+261
 Inf
 3.45687796e+272
 2.80507756e+172
 2.63537798e+193
 2.51364799e+03
 2.51587154e+03
 1.75901264e+25
 1.34217889e+12
 1.53224927e+17
 5.56560612e+89
 6.00076979e+23
 1.61525404e+12
 3.16638645e+17
 5.22265005e+70
 1.29076708e+22
 4.67706330e+22
 2.51334094e+03
 2.51330831e+03
 7.02997281e+37
 3.24621271e+22
 7.49659816e+55
 2.51332641e+03
 1.92539330e+25
 3.18616410e+18
 3.07736771e+25
 2.39803704e+21
 1.24102680e+36
 1.33045063e+55
 2.36662937e+26
 1.25554947e+25
 2.45595304e+27
 1.28826927e+27
 2.32483159e+27
 7.21760805e+26
 8.07326734e+26
 9.56515286e+26
 6.16548290e+26
 1.23976958e+28
 7.71950439e+28
 2.05007989e+27
 4.05381806e+27
 1.38827775e+28
 9.05597686e+26
 4.93375791e+26
 5.39933725e+27
 2.80991935e+28
 5.09861964e+27
 4.09397433e+26
 2.21374323e+53
 Inf
 1.64050545e+48
 2.04449567e+22
 1.54665417e+33
 3.11917169e+234
 2.40632446e+252
 6.49160202e+226
 Inf
 2.51331133e+03
 2.51328093e+03
 Inf
 Inf
 Inf
 2.65957539e+258
 8.41722505e+266
 Inf
 1.86735236e+270
 1.89588986e+220
 8.55275429e+242
 Inf
 Inf
 1.07072492e+282
 2.27665852e+204
 1.45369525e+195
 5.57701993e+233
 1.48614443e+215
 Inf
 Inf
 2.51327514e+03
 Inf
 1.20956832e+203
 Inf
 Inf
 Inf
 2.51327484e+03
 Inf
 7.40450159e+303
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.36550600e+254
 1.45529643e+219
 9.68423188e+278
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.88135098e+290
 Inf
 Inf
 Inf
 2.51327869e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.04213996e+306
 2.75020091e+302
 Inf
 Inf
 Inf
 2.51343149e+03
 2.51351536e+03
 2.51339870e+03
 2.51343386e+03
 2.51343548e+03
 2.51354038e+03
 2.51361126e+03
 2.51354761e+03
 2.51369691e+03
 2.51369506e+03
 2.51362879e+03
 2.51372985e+03
 2.51364556e+03
 2.51356344e+03
 2.51439528e+03
 2.51413455e+03
 2.51335052e+03
 2.51329109e+03
 2.51327595e+03
 2.51330544e+03
 2.51363833e+03
 2.51371523e+03
 2.51360550e+03
 2.51369562e+03
 2.51401887e+03
 2.51398990e+03
 2.51353629e+03
 2.51347164e+03
 2.51372985e+03
 2.51380379e+03
 2.51334888e+03
 2.51327563e+03
 2.51327465e+03
 2.51327570e+03
 2.51329975e+03
 2.51333201e+03
 Inf
 Inf
 Inf
 Inf
 2.51328765e+03
 2.51327438e+03
 Inf
 Inf
 2.51328267e+03
 Inf
 Inf
 2.51330169e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.87114731e+265
 2.51335385e+03
 2.51337535e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.83641067e+241
 2.29877165e+212
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329295e+03
 Inf
 5.06922830e+217
 Inf
 2.51328093e+03
 2.51327817e+03
 Inf
 Inf
 Inf
 1.75849347e+290
 Inf
 2.51331133e+03
 2.51327452e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.40120523e+269
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.00397316e+249
 Inf
 Inf
 Inf
 Inf
 2.51327570e+03
 Inf
 Inf
 2.51328342e+03
 2.51327507e+03
 Inf
 Inf
 Inf
 Inf
 2.51327429e+03
 2.51327448e+03
 2.51327998e+03
 2.51331486e+03
 2.51327501e+03
 Inf
 Inf
 Inf
 2.51327817e+03
 2.51331288e+03
 2.51328061e+03
 2.51328812e+03
 2.51327680e+03
 2.51327869e+03
 Inf
 Inf
 2.51327424e+03
 2.51328362e+03
 2.51329636e+03
 Inf
 2.51328249e+03
 2.51334043e+03
 2.51334407e+03
 2.51333394e+03
 2.51327520e+03
 Inf
 Inf
 2.51327578e+03
 2.51327659e+03
 2.51327448e+03
 2.51327490e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329057e+03
 2.51330440e+03
 2.51328812e+03
 2.51338374e+03
 2.51332687e+03
 2.51327911e+03
 8.39267656e+124
 4.67321858e+104
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.76125760e+215
 Inf
 Inf
 Inf
 2.51327422e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51333890e+03
 2.51334834e+03
 2.51328523e+03
 Inf
 2.51332153e+03
 2.51328565e+03
 Inf
 2.51327587e+03
 2.51331772e+03
 2.51327792e+03
 Inf
 3.54071883e+272
 6.78409800e+265
 1.56907175e+280
 2.46026626e+257
 Inf
 Inf
 3.45699605e+197
 2.42541697e+278
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327780e+03
 2.51334043e+03
 2.51334302e+03
 2.51328249e+03
 2.51327650e+03
 2.51335498e+03
 2.51347877e+03
 2.51348065e+03
 2.51331689e+03
 2.51328304e+03
 2.51328932e+03
 2.51342217e+03
 2.51335554e+03
 Inf
 2.51328143e+03
 2.51329032e+03
 Inf
 2.51329696e+03
 2.51333992e+03
 2.51330269e+03
 2.51331526e+03
 2.51334094e+03
 2.51338112e+03
 2.51350187e+03
 2.51344354e+03
 2.51333640e+03
 Inf
 2.51327843e+03
 2.51333941e+03
 2.51327429e+03
 2.51334565e+03
 2.51351731e+03
 2.51338177e+03
 2.51336132e+03
 2.51327432e+03
 2.51327780e+03
 2.51335052e+03
 2.51330474e+03
 2.51336015e+03
 2.51341761e+03
 2.51333106e+03
 2.51327495e+03
 Inf
 Inf
 Inf
 Inf
 2.51329378e+03
 2.51329349e+03
 2.51327456e+03
 Inf
 2.51331939e+03
 2.51335668e+03
 Inf
 Inf
 2.51329818e+03
 2.51333201e+03
 2.51336368e+03
 2.51329607e+03
 2.51327595e+03
 2.51327780e+03
 Inf
 2.51330795e+03
 2.51345267e+03
 2.51327621e+03
 2.51328304e+03
 2.51345689e+03
 2.51327680e+03
 Inf
 2.51331210e+03
 2.51343149e+03
 2.51343869e+03
 2.51339178e+03
 2.51337725e+03
 2.51336368e+03
 2.51328342e+03
 2.51329161e+03
 2.51334146e+03
 Inf
 5.88173517e+213
 Inf
 2.51341165e+03
 Inf
 Inf
 2.51328461e+03
 2.51327968e+03
 2.51345945e+03
 2.51350093e+03
 Inf
 Inf
 Inf
 Inf
 2.51330943e+03
 2.51329818e+03
 Inf
 2.51352621e+03
 2.51347517e+03
 Inf
 Inf
 1.07845456e+221
 Inf
 Inf
 2.83269299e+302
 1.59908719e+292
 Inf
 2.51327659e+03
 Inf
 4.17158288e+183
 5.56301636e+233
 Inf
 Inf
 2.51332641e+03
 2.51350568e+03
 2.51329083e+03
 2.51328697e+03
 2.51329322e+03
 2.51327452e+03
 2.51329636e+03
 2.51330687e+03
 2.51327540e+03
 2.51331133e+03
 2.51356665e+03
 2.51337035e+03
 2.51331772e+03
 2.51331607e+03
 2.51329491e+03
 2.51331056e+03
 2.51328178e+03
 Inf
 2.51332372e+03
 2.51340582e+03
 2.51337853e+03
 2.51343466e+03
 2.51338047e+03
 2.51332417e+03
 2.51336547e+03
 2.51340509e+03
 2.51347967e+03
 2.51342602e+03
 2.51330440e+03
 2.51333394e+03
 2.51343948e+03
 2.51346899e+03
 2.51337853e+03
 2.51328652e+03
 2.51327469e+03
 2.51327690e+03
 Inf
 Inf
 2.51330405e+03
 Inf
 2.51328267e+03
 Inf
 Inf
 2.51334726e+03
 2.51334510e+03
 2.51332328e+03
 2.51328401e+03
 2.51328231e+03
 2.51328544e+03
 2.51331772e+03
 2.51328908e+03
 2.51327722e+03
 2.51341686e+03
 2.51341089e+03
 2.51330795e+03
 2.51331855e+03
 2.51329548e+03
 2.51330136e+03
 2.51337283e+03
 2.51328765e+03
 2.51327422e+03
 Inf
 Inf
 Inf
 Inf
 2.51337158e+03
 2.51330371e+03
 Inf
 2.51327578e+03
 2.51328836e+03
 2.51333249e+03
 2.51329911e+03
 2.51331366e+03
 2.51331813e+03
 2.51338772e+03
 2.51340872e+03
 2.51334198e+03
 2.51338506e+03
 2.51330943e+03
 2.51337534e+03
 2.51330269e+03
 Inf
 Inf
 2.51329726e+03
 2.51335162e+03
 Inf
 2.51334354e+03
 2.51352922e+03
 2.51328908e+03
 2.51332964e+03
 2.51353224e+03
 2.51341165e+03
 2.51330509e+03
 2.51329378e+03
 2.51334094e+03
 2.51330202e+03
 2.51331813e+03
 2.51335273e+03
 2.51330615e+03
 2.51335385e+03
 2.51340223e+03
 2.51332240e+03
 2.51327420e+03
 2.51328860e+03
 2.51334997e+03
 2.51328401e+03
 2.51331813e+03
 2.51337096e+03
 2.51328652e+03
 2.51327555e+03
 2.51334888e+03
 2.51346899e+03
 2.51353427e+03
 2.51343466e+03
 2.51330269e+03
 2.51327954e+03
 2.51327830e+03
 2.51329548e+03
 2.51328093e+03
 2.51328652e+03
 2.51328213e+03
 2.51328195e+03
 Inf
 6.32731859e+218
 2.43647643e+278
 1.95108995e+305
 7.75619233e+215
 1.43653884e+222
 Inf
 2.51335726e+03
 2.51371918e+03
 2.51356343e+03
 2.51348511e+03
 2.51373254e+03
 2.51373548e+03
 2.51406415e+03
 2.51390516e+03
 2.51359191e+03
 2.51392426e+03
 2.51404835e+03
 2.51422153e+03
 2.51446368e+03
 2.51422539e+03
 2.51436598e+03
 2.51411989e+03
 2.51389417e+03
 2.51427052e+03
 2.51375433e+03
 2.51336073e+03
 2.51345351e+03
 2.51341611e+03
 2.51339521e+03
 2.51333249e+03
 2.51338506e+03
 2.51351146e+03
 2.51344191e+03
 2.51367900e+03
 2.51339110e+03
 2.51332687e+03
 2.51340152e+03
 2.51329135e+03
 2.51327711e+03
 Inf
 2.51327555e+03
 2.51329135e+03
 2.51330795e+03
 2.51333106e+03
 2.51333346e+03
 2.51335783e+03
 2.51340366e+03
 2.51336015e+03
 2.51337408e+03
 2.51331249e+03
 2.51327570e+03
 2.51327527e+03
 2.51327444e+03
 2.51337982e+03
 2.51335273e+03
 Inf
 2.51327939e+03
 2.51327424e+03
 Inf
 Inf
 Inf
 2.51328077e+03
 Inf
 Inf
 Inf
 2.51327484e+03
 2.51327604e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.10917085e+269
 Inf
 Inf
 Inf
 2.47269981e+278
 Inf
 Inf
 Inf
 Inf
 7.49402848e+253
 4.15328607e+229
 3.87945333e+279
 Inf
 Inf
 Inf
 Inf
 Inf
 1.98394504e+265
 8.29802846e+265
 Inf
 Inf
 Inf
 2.51327911e+03
 2.51327484e+03
 Inf
 Inf
 Inf
 2.51440372e+03
 2.52011657e+03
 2.51952385e+03
 2.51624622e+03
 2.51420803e+03
 2.51351146e+03
 2.51333740e+03
 2.51398830e+03
 2.51454978e+03
 2.51403092e+03
 2.51450742e+03
 2.51466223e+03
 2.51418700e+03
 2.51392910e+03
 2.51401371e+03
 2.51438059e+03
 2.51445293e+03
 2.51429649e+03
 2.51443991e+03
 2.51411077e+03
 2.51381542e+03
 2.51388945e+03
 2.51371653e+03
 2.51384056e+03
 2.51417943e+03
 2.51479893e+03
 2.51493963e+03
 2.51416810e+03
 2.51409636e+03
 2.51419843e+03
 2.51444639e+03
 2.51471182e+03
 2.51434943e+03
 2.51444203e+03
 2.50127482e+03
 2.51430859e+03
 2.51435353e+03
 2.51419081e+03
 2.51460880e+03
 2.51509706e+03
 2.51451406e+03
 2.51398663e+03
 2.51391472e+03
 2.51415126e+03
 2.51516751e+03
 2.51525094e+03
 2.51437224e+03
 2.51447443e+03
 2.51453634e+03
 2.51455879e+03
 2.51487850e+03
 2.51484817e+03
 2.51474297e+03
 2.51478416e+03
 2.51461340e+03
 2.51429449e+03
 2.51416249e+03
 2.51394040e+03
 2.51387862e+03
 2.51383163e+03
 2.50452707e+03
 2.51387706e+03
 2.51365778e+03
 2.51376124e+03
 2.51414755e+03
 2.51475263e+03
 2.51459727e+03
 2.51376961e+03
 2.51365903e+03
 2.51375296e+03
 2.51363833e+03
 2.51408192e+03
 2.51452964e+03
 2.51472859e+03
 2.51508365e+03
 2.51444637e+03
 2.51384959e+03
 2.51397157e+03
 2.51345860e+03
 2.51337471e+03
 2.51329943e+03
 2.51350664e+03
 2.51435357e+03
 2.51438112e+03
 2.51471896e+03
 2.51500693e+03
 2.51547455e+03
 2.51493949e+03
 2.51584268e+03
 2.51643079e+03
 2.51526166e+03
 2.51468809e+03
 2.51491899e+03
 2.51561536e+03
 2.51582697e+03
 2.51525046e+03
 2.51454976e+03
 2.51457184e+03
 2.51471657e+03
 2.51391150e+03
 2.51350664e+03
 2.51343948e+03
 2.51341536e+03
 2.51364678e+03
 2.51358966e+03
 2.51346203e+03
 2.51354865e+03
 2.51340799e+03
 2.51335329e+03
 2.51335840e+03
 2.51339870e+03
 2.51340510e+03
 2.51344519e+03
 2.51348147e+03
 2.51349528e+03
 2.51345689e+03
 2.51337283e+03
 2.51339452e+03
 2.51337408e+03
 2.51344273e+03
 2.51363474e+03
 2.51378230e+03
 2.51377096e+03
 2.51378940e+03
 2.51359754e+03
 2.51356882e+03
 2.51346724e+03
 2.51355599e+03
 2.51375159e+03
 2.51381983e+03
 2.51376961e+03
 2.51354450e+03
 2.51429247e+03
 2.51523656e+03
 2.51451405e+03
 2.51396828e+03
 2.51363474e+03
 2.50603317e+03
 2.51390359e+03
 2.51387238e+03
 2.51363235e+03
 2.51376821e+03
 2.51368154e+03
 2.51345183e+03
 2.51352521e+03
 2.51343706e+03
 2.51372851e+03
 2.51397493e+03
 2.51361938e+03
 2.51375433e+03
 2.51372983e+03
 2.51351731e+03
 2.51347519e+03
 2.51351927e+03
 2.51393716e+03
 2.51407305e+03
 2.51355705e+03
 2.51347967e+03
 2.51383163e+03
 2.51387096e+03
 2.51383460e+03
 2.51377664e+03
 2.51357970e+03
 2.51374065e+03
 2.51368918e+03
 2.51358411e+03
 2.51354244e+03
 2.51393231e+03
 2.51497046e+03
 2.51525622e+03
 2.51474054e+03
 2.51477417e+03
 2.51538404e+03
 2.51494976e+03
 2.51474782e+03
 2.51482351e+03
 2.51727161e+03
 2.51759283e+03
 2.51532382e+03
 2.51492937e+03
 2.51432688e+03
 2.51406064e+03
 2.51346811e+03
 Inf
 2.51327422e+03
 2.51331526e+03
 2.51344601e+03
 2.51342216e+03
 2.51332779e+03
 2.51338177e+03
 2.51367648e+03
 2.51377103e+03
 2.51397492e+03
 2.51467391e+03
 2.51407478e+03
 2.51435975e+03
 2.51477935e+03
 2.51469033e+03
 2.51505167e+03
 2.51463882e+03
 2.51450527e+03
 2.51453848e+03
 2.51482852e+03
 2.51526731e+03
 2.51545990e+03
 2.51527287e+03
 2.51528065e+03
 2.51480629e+03
 2.51440796e+03
 2.51486591e+03
 2.51457681e+03
 2.51441009e+03
 2.51494207e+03
 2.51491595e+03
 2.51447671e+03
 2.51433509e+03
 2.51505433e+03
 2.51542475e+03
 2.51554601e+03
 2.51552178e+03
 2.51494722e+03
 2.51535234e+03
 2.51564899e+03
 2.51518394e+03
 2.51582042e+03
 2.51596873e+03
 2.51558802e+03
 2.51585861e+03
 2.51560315e+03
 2.51499384e+03
 2.51471661e+03
 2.51490629e+03
 2.51529547e+03
 2.51631866e+03
 2.49463152e+03
 2.51579513e+03
 2.51585830e+03
 2.51554588e+03
 2.51548356e+03
 2.51598484e+03
 2.51604785e+03
 2.51576993e+03
 2.51545984e+03
 2.51557585e+03
 2.51513480e+03
 2.51511648e+03
 2.51540140e+03
 2.51494720e+03
 2.51513746e+03
 2.51576681e+03
 2.51560606e+03
 2.51518122e+03
 2.51572301e+03
 2.51585568e+03
 2.51538981e+03
 2.51522826e+03
 2.51502003e+03
 2.51443779e+03
 2.51402748e+03
 2.51411438e+03
 2.51409804e+03
 2.51385867e+03
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