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 7.45984741e+34
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 1.48216107e+37
 1.16411297e+38
 4.06268692e+37
 2.72058731e+39
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 4.75722755e+28
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 2.27494825e+31
 2.85115583e+37
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 1.10487793e+46
 3.04049075e+43
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 1.81547932e+39
 6.94647880e+37
 7.56001323e+33
 9.94580365e+33
 9.83127075e+34
 1.46685568e+35
 9.07787987e+33
 2.46486647e+34
 4.36457273e+36
 9.65341891e+38
 1.68108050e+39
 4.32733829e+39
 3.70188151e+38
 6.80904804e+36
 2.93915065e+37
 1.06776955e+39
 4.00860957e+43
 6.89176338e+46
 6.81288827e+44
 1.03400020e+47
 2.56150818e+42
 1.19246611e+37
 2.86162916e+39
 4.58873765e+40
 4.55668020e+43
 5.11352040e+41
 1.07228529e+39
 4.70943718e+39
 8.08168120e+41
 1.62451740e+43
 1.15866266e+43
 4.64803220e+42
 8.15870913e+38
 1.08684348e+37
 4.79919107e+37
 8.97435855e+37
 2.15000364e+40
 7.73109127e+40
 1.17198540e+41
 4.54480460e+44
 1.05794432e+43
 2.70982924e+42
 3.49304799e+44
 1.15478506e+44
 8.35999412e+41
 6.85458751e+38
 7.91050056e+35
 3.67215024e+36
 2.13377501e+37
 1.03815361e+36
 2.44504698e+37
 2.20695825e+40
 2.16506795e+47
 2.93163335e+55
 4.12469354e+61
 1.62780401e+66
 3.08940606e+47
 2.99365289e+40
 1.21385513e+39
 7.58790093e+35
 3.43094223e+33
 3.91004813e+34
 5.93738111e+36
 2.09465960e+36
 1.32919729e+35
 6.13194291e+34
 1.36028228e+70
 Inf
 Inf
 Inf
 Inf
 7.78878009e+176
 1.58166627e+264
 2.51332551e+03
 2.51332966e+03
 2.51329462e+03
 2.51330544e+03
 2.51328765e+03
 2.51345520e+03
 2.51351243e+03
 2.51338572e+03
 2.51338113e+03
 2.51332328e+03
 2.51329350e+03
 2.51334779e+03
 2.51345860e+03
 2.51332110e+03
 2.51328267e+03
 2.51332284e+03
 2.51333394e+03
 2.51328675e+03
 2.51328587e+03
 2.51329666e+03
 2.51332965e+03
 2.51339315e+03
 2.51337853e+03
 2.51331018e+03
 2.51329975e+03
 2.51337408e+03
 2.51356237e+03
 2.51350187e+03
 2.51332328e+03
 2.51331094e+03
 2.51335783e+03
 Inf
 Inf
 2.98931562e+249
 2.01298559e+80
 1.88463972e+82
 3.50438167e+192
 2.51196080e+251
 3.41131647e+219
 3.76718686e+187
 4.40414039e+205
 1.85007417e+206
 2.28713275e+212
 1.03108798e+120
 5.16861506e+89
 4.95024013e+127
 8.41597752e+166
 2.85894013e+151
 9.64583020e+174
 1.18524404e+232
 1.67943607e+175
 5.65220218e+174
 2.34898735e+134
 7.08967503e+123
 5.97217232e+141
 3.95862014e+155
 9.86634704e+163
 7.47232008e+132
 4.70607332e+124
 1.57884348e+103
 2.81621159e+127
 4.87589493e+175
 9.37178072e+155
 1.45270524e+162
 6.38451631e+226
 2.49228291e+203
 9.88225209e+115
 2.94339994e+141
 Inf
 1.10758516e+248
 6.49631091e+180
 1.70029108e+290
 Inf
 6.26642896e+239
 7.21712820e+157
 1.01779996e+133
 3.90444991e+129
 3.92295669e+144
 7.01889993e+177
 2.35979458e+160
 1.58757066e+135
 7.24134329e+147
 4.15522405e+158
 7.43265508e+148
 1.60074103e+189
 Inf
 5.07016683e+269
 5.70919198e+169
 4.12509936e+164
 9.37727374e+162
 6.54136536e+181
 1.50311147e+163
 1.08964505e+199
 Inf
 2.74323655e+230
 Inf
 Inf
 1.07689550e+235
 7.01538016e+274
 Inf
 Inf
 2.01912250e+210
 5.17567504e+203
 4.44537129e+220
 Inf
 Inf
 2.51330071e+03
 2.51336250e+03
 2.51331982e+03
 2.51328812e+03
 Inf
 Inf
 4.78266063e+263
 2.81328459e+202
 Inf
 Inf
 2.36802909e+255
 2.13805908e+182
 4.29375009e+151
 4.91238898e+175
 6.47242567e+179
 5.33917115e+236
 2.14256036e+300
 1.32093620e+188
 5.17706731e+191
 Inf
 3.74638111e+162
 2.84052520e+128
 9.27995700e+169
 2.63228160e+218
 1.13748943e+213
 3.31942151e+174
 7.06887534e+177
 5.66385900e+213
 3.86786366e+279
 4.25368821e+206
 4.37957982e+170
 1.24724175e+134
 9.81014411e+163
 4.18080926e+206
 6.18357420e+218
 2.69710249e+230
 3.26875717e+248
 3.12512683e+232
 1.99072778e+206
 2.45868891e+184
 2.93971652e+136
 1.28924724e+140
 6.90660013e+126
 4.62833477e+111
 1.06113959e+125
 5.94256727e+138
 3.95545167e+155
 4.27330012e+151
 1.35379301e+154
 8.53108045e+150
 1.22077974e+142
 9.11343835e+161
 Inf
 2.51560321e+03
 2.51695641e+03
 2.51399672e+03
 Inf
 1.06118334e+306
 2.92870928e+307
 2.46684624e+257
 1.05272337e+287
 Inf
 2.51330071e+03
 2.51328160e+03
 Inf
 2.51330236e+03
 Inf
 7.52316404e+140
 1.61342280e+127
 9.28545983e+162
 4.09747480e+137
 3.25601454e+152
 4.91349241e+175
 5.65417388e+136
 7.92749711e+121
 1.01668042e+120
 1.00061068e+121
 3.59952169e+161
 4.68933899e+120
 7.12987291e+96
 1.06846952e+137
 5.78194668e+186
 4.00403410e+216
 4.54860733e+168
 5.77824938e+161
 1.66120006e+175
 9.73642571e+171
 1.23585821e+178
 2.84023629e+195
 1.47767282e+176
 6.00747653e+138
 4.39836677e+143
 1.20069341e+115
 2.28153990e+162
 Inf
 1.30708320e+273
 6.83193624e+197
 3.86155340e+150
 1.10551722e+158
 1.69575156e+153
 3.47530791e+131
 1.13320246e+180
 2.55090586e+176
 1.69042042e+121
 6.67509343e+127
 1.03446346e+143
 6.46805404e+158
 3.14445014e+186
 1.66521652e+168
 8.51906120e+196
 3.04790505e+189
 1.01209753e+168
 8.14529177e+184
 3.40399315e+169
 2.98203410e+141
 6.38657290e+151
 2.72573292e+168
 1.89423774e+108
 3.46752477e+110
 1.52048482e+201
 3.75331917e+241
 5.83352420e+171
 2.86411370e+175
 7.38187700e+194
 4.98743685e+147
 3.54890401e+142
 1.17603412e+139
 2.67366252e+191
 7.39060313e+235
 7.34973342e+170
 2.26278043e+254
 8.02496353e+219
 1.50604388e+143
 1.09127190e+196
 2.55349693e+281
 2.77625940e+185
 4.05549599e+177
 1.90618024e+265
 9.14638750e+199
 2.61973521e+170
 2.56035098e+164
 3.79892590e+182
 Inf
 6.24579384e+277
 6.76400970e+178
 1.23741192e+178
 9.65673716e+151
 3.94351800e+126
 2.32595420e+134
 1.21600093e+142
 6.46647578e+158
 6.06868806e+159
 5.99128230e+138
 2.43304146e+123
 1.00973227e+133
 2.53703867e+164
 5.02249432e+185
 9.56757311e+159
 7.34438798e+252
 2.19856423e+196
 1.10549955e+123
 6.08744954e+163
 6.96685546e+224
 1.71207844e+153
 3.04647362e+138
 1.12123907e+218
 2.48932724e+203
 2.87927953e+175
 9.23191041e+160
 9.70809275e+171
 1.97625906e+236
 1.17203846e+262
 2.58425972e+281
 4.37499334e+282
 1.35110097e+241
 3.32988566e+174
 2.86572078e+175
 7.84871926e+257
 9.74142449e+151
 4.33636835e+170
 Inf
 8.44267180e+250
 2.26755288e+183
 Inf
 1.05120536e+235
 1.80293817e+283
 Inf
 Inf
 Inf
 Inf
 2.51334198e+03
 2.51333345e+03
 2.51330303e+03
 Inf
 1.86353772e+283
 7.72126860e+200
 1.18090155e+179
 3.69543927e+162
 6.07720797e+277
 Inf
 3.52680635e+295
 2.31746237e+255
 Inf
 Inf
 3.82827505e+241
 5.83165744e+244
 6.71852166e+270
 2.09765649e+179
 5.11849437e+193
 2.05385250e+181
 5.79120404e+161
 1.65755804e+168
 5.41972200e+198
 1.27579496e+273
 Inf
 2.51327424e+03
 Inf
 Inf
 Inf
 Inf
 3.72934383e+192
 4.20704139e+206
 Inf
 Inf
 Inf
 2.51339315e+03
 2.51347608e+03
 2.51337345e+03
 2.51342293e+03
 2.51379513e+03
 2.51379739e+03
 Inf
 Inf
 Inf
 2.45004898e+252
 Inf
 2.60661555e+281
 3.31796134e+152
 1.89311538e+305
 Inf
 Inf
 Inf
 2.51329519e+03
 2.51368663e+03
 2.51367629e+03
 2.51331607e+03
 2.51340223e+03
 2.51351340e+03
 2.51330405e+03
 1.30198192e+247
 1.02289731e+306
 2.51342679e+03
 2.51348879e+03
 Inf
 Inf
 2.51334672e+03
 2.51356773e+03
 2.51347163e+03
 2.51355494e+03
 2.51345351e+03
 2.51359867e+03
 2.51404833e+03
 2.51379512e+03
 2.51328860e+03
 Inf
 2.51327469e+03
 Inf
 Inf
 Inf
 2.51328461e+03
 2.51331249e+03
 Inf
 2.51336073e+03
 2.51355389e+03
 2.51346723e+03
 2.51370601e+03
 2.51376127e+03
 2.51358744e+03
 2.51365409e+03
 2.51348602e+03
 2.51335783e+03
 2.51331288e+03
 2.51335498e+03
 2.51327768e+03
 3.21418889e+260
 5.63269252e+233
 Inf
 6.39977918e+280
 5.27622221e+166
 8.91701669e+206
 Inf
 1.97697430e+305
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.60094717e+280
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.67995503e+214
 3.95249842e+237
 Inf
 Inf
 Inf
 Inf
 Inf
 3.31036427e+248
 Inf
 Inf
 6.26128424e+218
 2.89025202e+307
 Inf
 8.63865915e+258
 5.02745130e+269
 1.57648614e+201
 2.33535417e+130
 1.17000113e+132
 1.42491807e+156
 1.41776163e+222
 5.15403292e+193
 6.52072401e+108
 8.33974255e+122
 6.94144361e+192
 3.91294726e+190
 2.25066372e+204
 Inf
 Inf
 Inf
 Inf
 2.51338572e+03
 2.51348971e+03
 2.51334043e+03
 2.51332328e+03
 2.51327792e+03
 Inf
 2.51332825e+03
 2.51360895e+03
 2.51359298e+03
 2.51341462e+03
 2.51344518e+03
 2.51365902e+03
 2.51331855e+03
 2.51327659e+03
 2.51342064e+03
 2.51331897e+03
 2.51327659e+03
 2.51328630e+03
 2.51335107e+03
 2.51338177e+03
 2.51340799e+03
 Inf
 Inf
 2.51340223e+03
 2.51338571e+03
 2.51354865e+03
 2.51365533e+03
 2.51357532e+03
 2.51332328e+03
 2.51331327e+03
 2.51332687e+03
 2.51333992e+03
 2.51346376e+03
 Inf
 2.81841889e+235
 2.51329214e+03
 2.51330337e+03
 2.51337853e+03
 2.51327968e+03
 Inf
 Inf
 2.51327527e+03
 2.51327612e+03
 Inf
 2.45826864e+252
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329577e+03
 2.51333590e+03
 2.51338506e+03
 2.51341988e+03
 2.51339315e+03
 2.51335726e+03
 2.51338705e+03
 2.51330136e+03
 2.51328381e+03
 2.51327805e+03
 2.51329880e+03
 2.51342835e+03
 2.51334302e+03
 2.51328884e+03
 2.51331018e+03
 2.51335611e+03
 2.51327968e+03
 2.51328061e+03
 2.51357750e+03
 2.51372719e+03
 2.51342913e+03
 2.51332506e+03
 2.51329519e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51336368e+03
 2.51356989e+03
 2.51362056e+03
 2.51342992e+03
 Inf
 2.51330103e+03
 2.51361822e+03
 2.51357639e+03
 2.51343626e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327925e+03
 2.51328957e+03
 2.51329109e+03
 2.51336249e+03
 2.51361822e+03
 2.51353731e+03
 2.51341239e+03
 2.51336912e+03
 2.51352422e+03
 2.51362761e+03
 2.51338572e+03
 2.51329434e+03
 Inf
 2.51335217e+03
 2.51328045e+03
 Inf
 Inf
 Inf
 2.51341988e+03
 2.51374885e+03
 2.51401203e+03
 2.51409632e+03
 2.51369691e+03
 2.51363237e+03
 2.51381395e+03
 2.51376680e+03
 2.51340945e+03
 2.51349809e+03
 2.51348237e+03
 2.51336608e+03
 2.51330071e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.16760551e+217
 1.15414278e+181
 2.77559154e+172
 1.34574672e+202
 Inf
 Inf
 Inf
 1.74710463e+290
 Inf
 Inf
 8.41883290e+250
 2.33374645e+253
 Inf
 Inf
 Inf
 Inf
 Inf
 1.60288158e+308
 Inf
 Inf
 2.51327435e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327604e+03
 2.51328908e+03
 Inf
 Inf
 Inf
 2.51329268e+03
 2.51328502e+03
 2.51327424e+03
 2.51330474e+03
 Inf
 Inf
 Inf
 Inf
 3.83923135e+200
 7.88825898e+149
 1.06580930e+204
 7.10363172e+177
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331056e+03
 2.51329187e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327416e+03
 2.51329295e+03
 2.51327883e+03
 2.51327780e+03
 2.51328014e+03
 2.51330687e+03
 Inf
 Inf
 Inf
 2.51327417e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327484e+03
 Inf
 2.51327438e+03
 2.51330795e+03
 Inf
 Inf
 2.51327422e+03
 Inf
 Inf
 Inf
 2.64739963e+258
 2.43276432e+149
 Inf
 2.51331982e+03
 Inf
 Inf
 Inf
 3.13918641e+260
 2.30159580e+254
 2.51329975e+03
 2.51336015e+03
 2.51335162e+03
 2.51329268e+03
 Inf
 Inf
 7.03638806e+230
 1.91496559e+144
 2.01861484e+180
 Inf
 Inf
 8.59538246e+258
 Inf
 Inf
 1.92358195e+208
 1.32938290e+285
 Inf
 Inf
 Inf
 6.72102246e+201
 2.51327701e+03
 2.51362055e+03
 Inf
 Inf
 Inf
 2.51327869e+03
 2.51346376e+03
 2.51351634e+03
 Inf
 Inf
 2.51330759e+03
 Inf
 1.90228253e+274
 3.03001372e+242
 Inf
 2.51352026e+03
 2.51357099e+03
 2.51327659e+03
 Inf
 9.88458785e+278
 3.60913436e+149
 1.28738293e+126
 1.16082079e+182
 3.65439544e+161
 1.44366850e+31
 1.98151662e+25
 7.11700302e+16
 5.51590415e+17
 2.72704986e+43
 3.09611990e+46
 2.92925103e+67
 8.06362415e+92
 3.33293250e+95
 1.71104354e+122
 1.29373455e+89
 1.18045111e+69
 1.06490727e+103
 1.19630941e+129
 9.61680687e+113
 2.98639017e+111
 2.94384984e+87
 2.36841140e+70
 1.13285631e+73
 9.97486795e+75
 1.26974993e+75
 7.41111357e+81
 1.54597017e+74
 9.14953095e+76
 4.03720845e+85
 1.42429762e+70
 5.20094157e+79
 1.57466810e+80
 3.22418670e+59
 5.59553146e+64
 1.31634638e+91
 3.09577471e+97
 2.29545537e+98
 6.02015686e+96
 1.02551354e+92
 2.57122291e+83
 8.59623651e+83
 5.88687769e+94
 6.18399156e+84
 4.96542304e+87
 5.20782990e+92
 5.16376674e+102
 2.33486323e+94
 1.28418921e+89
 2.31708221e+77
 1.21969807e+76
 7.25834240e+73
 3.42624521e+80
 1.78568096e+83
 8.27522438e+78
 1.68902876e+112
 1.05765962e+75
 5.08258466e+62
 1.68176275e+68
 4.17325307e+79
 1.55443923e+113
 1.27997923e+140
 8.93479200e+111
 6.17512483e+82
 1.71907488e+87
 2.62019891e+97
 2.22997013e+71
 1.87308428e+67
 1.23843979e+77
 5.01925067e+94
 9.41895685e+174
 1.59222181e+164
 5.69815250e+130
 1.22261028e+169
 2.26834278e+255
 Inf
 1.45694806e+246
 1.08489312e+204
 4.44733907e+143
 1.17117873e+91
 1.45309409e+88
 3.33706348e+87
 5.01456081e+73
 1.71741233e+93
 8.22895914e+138
 1.50349833e+118
 1.40750029e+219
 1.55914781e+308
 3.42937183e+219
 Inf
 2.62703296e+226
 1.00212778e+194
 2.26479938e+126
 6.37948669e+98
 1.19175290e+109
 1.22990167e+116
 2.80845827e+110
 3.97879521e+118
 8.08971176e+124
 6.86189589e+93
 7.41578438e+88
 3.16533491e+105
 6.07102454e+113
 5.63042324e+130
 2.18938452e+156
 2.85441561e+175
 1.22617364e+142
 3.21039101e+94
 8.22142294e+104
 2.21141375e+212
 7.26368756e+253
 1.12595250e+138
 6.75032470e+128
 4.14035716e+135
 1.12266293e+88
 3.48949539e+99
 9.81109280e+260
 1.26999142e+261
 8.04973778e+135
 2.49467153e+145
 3.73419931e+268
 3.42159433e+197
 5.13544815e+193
 7.47844067e+152
 2.10238294e+95
 3.98294644e+136
 7.86587450e+172
 7.09809577e+129
 6.88979484e+126
 8.21673564e+79
 2.90860986e+72
 1.70471745e+102
 2.35260087e+93
 2.21131559e+126
 4.09252448e+209
 2.58536089e+153
 3.40238485e+261
 5.70809149e+285
 1.73162971e+240
 3.77769072e+241
 9.47599616e+162
 2.47599656e+159
 2.54004424e+176
 1.09298886e+199
 2.22575913e+239
 2.00184383e+236
 2.34081083e+148
 2.33823671e+134
 2.84398392e+127
 1.06324280e+99
 2.48913491e+116
 5.81589445e+153
 2.05855722e+154
 7.82614773e+136
 8.40677034e+99
 6.05385368e+106
 1.96410323e+187
 5.74440735e+189
 1.17885432e+179
 2.70147987e+191
 9.93164941e+163
 2.69260420e+191
 Inf
 Inf
 6.07280167e+221
 Inf
 7.41514061e+255
 4.99013281e+175
 6.37022378e+143
 4.32972118e+110
 2.41435963e+123
 4.55990089e+157
 9.62115325e+151
 1.43240665e+156
 1.70360938e+126
 4.10116922e+106
 9.55577649e+113
 1.21682073e+183
 2.52530351e+228
 2.88220633e+151
 2.03788063e+169
 6.55054507e+181
 7.31183379e+154
 2.93498396e+137
 4.10436638e+101
 7.47881271e+114
 2.70421830e+144
 4.67542473e+120
 1.30787879e+120
 1.71272126e+145
 1.70269003e+134
 2.92151871e+137
 2.14147189e+127
 4.19686182e+99
 1.00893377e+111
 3.33173944e+111
 1.91473612e+85
 2.40057843e+90
 1.18136514e+115
 3.23268939e+98
 1.48304512e+104
 5.15183679e+109
 1.16093203e+97
 2.83647863e+101
 1.47714962e+89
 1.79893106e+109
 6.48960443e+173
 1.59733423e+128
 1.91530370e+118
 3.37735680e+148
 1.00719644e+121
 1.59363751e+80
 1.18684195e+96
 5.09790639e+97
 2.57195482e+78
 1.58241906e+92
 8.97874222e+84
 1.50839106e+87
 4.62674844e+124
 2.99112982e+189
 1.36302030e+154
 5.56468617e+72
 1.24930502e+44
 3.43282158e+60
 3.97033497e+101
 4.80091393e+77
 2.12547696e+92
 4.57762166e+95
 2.23732854e+76
 4.54793258e+73
 1.96723609e+100
 2.38041152e+115
 3.51417078e+55
 5.26209665e+55
 1.16023939e+69
 3.65385557e+57
 6.02360711e+76
 3.79103518e+87
 3.69129754e+76
 7.19289787e+72
 2.57551526e+64
 3.75116421e+68
 2.41614787e+72
 3.73938248e+71
 7.17594975e+72
 1.56151413e+68
 4.52926683e+73
 4.46185830e+71
 6.56434199e+70
 1.63649867e+73
 3.42613177e+71
 1.09050872e+84
 3.67634706e+96
 2.47264934e+80
 2.46468537e+69
 3.96277215e+60
 4.95156869e+65
 1.11161607e+86
 6.76572371e+86
 3.48653232e+99
 9.73836858e+87
 2.96578404e+81
 4.87731711e+90
 3.26979296e+83
 8.91763010e+86
 3.57283750e+85
 5.68994687e+100
 7.27925595e+125
 2.47885528e+113
 9.86634195e+96
 3.33798803e+95
 3.10114716e+97
 3.33047072e+84
 2.91842021e+87
 3.81403286e+104
 1.08419507e+103
 7.43763548e+88
 3.59019691e+86
 1.67421139e+81
 9.46856885e+80
 2.82961335e+95
 1.88206525e+81
 1.33644756e+68
 8.35041515e+63
 6.53611194e+70
 8.41193147e+88
 3.44873211e+80
 7.27214352e+73
 1.00913479e+85
 1.88301841e+77
 5.28279834e+77
 1.08394290e+153
 2.25169158e+126
 3.70174768e+107
 7.03427374e+123
 1.83946645e+110
 2.22729178e+126
 7.05240394e+99
 4.17635579e+73
 9.89936573e+71
 7.23810062e+79
 1.27429595e+86
 3.36957433e+89
 2.15787127e+85
 1.42416225e+70
 2.99403713e+76
 4.69450283e+133
 5.83850248e+103
 9.02886141e+106
 1.02007393e+221
 2.77607068e+235
 1.17188239e+262
 1.93118667e+151
 9.60834863e+151
 2.42120921e+188
 5.10972340e+142
 3.26038780e+152
 2.73289830e+144
 2.08950907e+124
 9.13114267e+185
 Inf
 6.72123496e+133
 4.01443393e+103
 2.84289204e+101
 1.67725877e+65
 6.00251618e+70
 9.96039834e+107
 2.35654974e+93
 1.59542117e+129
 Inf
 Inf
 9.55145796e+162
 1.11469423e+138
 7.06478001e+254
 Inf
 5.30636325e+191
 8.28661394e+110
 2.12533970e+127
 4.24111728e+196
 1.01217206e+306
 1.45018321e+246
 2.62635309e+155
 2.86388145e+100
 3.16968929e+104
 2.67933193e+168
 5.10652014e+193
 7.49386846e+168
 1.69852925e+240
 7.03829932e+187
 2.85060709e+128
 4.56775374e+157
 8.49664547e+196
 2.93845489e+238
 7.01929379e+274
 Inf
 2.19518717e+300
 1.09186542e+147
 1.44961864e+162
 4.23512262e+141
 8.73480148e+208
 6.71797166e+265
 5.17838861e+193
 Inf
 5.66444050e+233
 Inf
 2.51395181e+03
 2.51440167e+03
 2.51374201e+03
 2.51389101e+03
 2.51423707e+03
 2.51359754e+03
 2.51362876e+03
 2.51450302e+03
 2.51458845e+03
 2.51449860e+03
 2.51460879e+03
 2.51431061e+03
 2.51392909e+03
 2.51398155e+03
 2.51438897e+03
 2.51423509e+03
 2.51398999e+03
 2.51370471e+03
 Inf
 Inf
 2.51327711e+03
 2.51327501e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328836e+03
 Inf
 Inf
 2.51328267e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.02517244e+267
 5.03300567e+269
 2.41752667e+252
 4.85956388e+273
 2.36222843e+256
 1.63453596e+229
 Inf
 Inf
 Inf
 2.77217004e+191
 7.49123914e+168
 Inf
 Inf
 2.51327415e+03
 2.51329007e+03
 2.51328812e+03
 2.51355494e+03
 2.51358747e+03
 2.51372985e+03
 2.51453631e+03
 2.51480145e+03
 2.51452960e+03
 2.51532381e+03
 2.51590692e+03
 2.49843240e+03
 2.51614763e+03
 2.51535812e+03
 2.51514849e+03
 2.51508372e+03
 2.51477690e+03
 2.51374338e+03
 2.51387548e+03
 2.51542176e+03
 2.51558552e+03
 2.51472853e+03
 2.51426064e+03
 2.51437636e+03
 2.51408014e+03
 2.51394204e+03
 2.51422927e+03
 2.51411075e+03
 2.51384507e+03
 2.51385399e+03
 2.51386783e+03
 2.51385412e+03
 2.51417187e+03
 2.51456553e+03
 2.51445279e+03
 2.51435772e+03
 2.51426261e+03
 2.51373389e+03
 2.51333640e+03
 2.51356236e+03
 2.51433097e+03
 2.51392425e+03
 2.51348511e+03
 2.51377382e+03
 2.51424686e+03
 2.51391150e+03
 2.50380939e+03
 2.51411077e+03
 2.51410789e+03
 2.51428847e+03
 2.51457912e+03
 2.51413273e+03
 2.51372852e+03
 2.51412905e+03
 2.51451852e+03
 2.51421957e+03
 2.51412541e+03
 2.51439738e+03
 2.51420609e+03
 2.51361472e+03
 2.51374883e+03
 2.51442709e+03
 2.51418697e+03
 2.51425862e+03
 2.51462957e+03
 2.51434736e+03
 2.51396002e+03
 2.51402743e+03
 2.51418132e+03
 2.51407478e+03
 2.51397493e+03
 2.51338572e+03
 2.51327469e+03
 Inf
 Inf
 Inf
 1.32649963e+273
 1.63747903e+229
 1.05192662e+226
 2.62149700e+155
 5.03640733e+146
 3.95884840e+227
 Inf
 4.04723679e+262
 1.00603221e+194
 5.32680412e+301
 Inf
 7.03192310e+230
 1.61347309e+227
 Inf
 Inf
 5.54915403e+306
 Inf
 Inf
 1.65699049e+296
 1.29498853e+273
 Inf
 Inf
 Inf
 2.51327604e+03
 Inf
 Inf
 2.51327415e+03
 Inf
 6.26599916e+155
 7.67243512e+145
 Inf
 Inf
 2.41220864e+256
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.23952084e+171
 Inf
 2.51330906e+03
 Inf
 Inf
 Inf
 2.51350187e+03
 2.51405359e+03
 2.51391148e+03
 2.51429850e+03
 2.51389416e+03
 2.51349248e+03
 2.51362760e+03
 2.51358743e+03
 2.51339870e+03
 2.51365287e+03
 2.51372585e+03
 2.51350856e+03
 2.51355916e+03
 2.51383609e+03
 2.51399337e+03
 2.51385260e+03
 2.51377383e+03
 2.51389416e+03
 2.51388627e+03
 2.51430455e+03
 2.51462266e+03
 2.51417752e+03
 2.51416849e+03
 2.51478910e+03
 2.51470212e+03
 2.51362643e+03
 2.51365649e+03
 2.51431467e+03
 2.51416805e+03
 2.51440794e+03
 2.51493440e+03
 2.51451848e+03
 2.51447685e+03
 2.51444855e+03
 2.51433301e+03
 2.51484841e+03
 2.51498353e+03
 2.51480135e+03
 2.51463190e+03
 2.51408371e+03
 2.51389574e+03
 2.51438268e+03
 2.51409627e+03
 2.51350473e+03
 2.51418700e+03
 2.51509170e+03
 2.51420609e+03
 2.51387091e+03
 2.51422151e+03
 2.51437853e+03
 2.51402402e+03
 2.51377805e+03
 2.51430455e+03
 2.51417560e+03
 2.51363953e+03
 2.51384506e+03
 2.51363116e+03
 2.51346463e+03
 2.51345016e+03
 2.51366521e+03
 2.51360207e+03
 2.51345605e+03
 2.51346635e+03
 2.51354244e+03
 2.51386783e+03
 2.51410353e+03
 2.51447455e+03
 2.51389259e+03
 2.51358856e+03
 2.51390675e+03
 2.51386015e+03
 2.51389103e+03
 2.51386019e+03
 2.51369691e+03
 2.51361010e+03
 2.51362760e+03
 2.51367020e+03
 2.51374474e+03
 2.51403439e+03
 2.51389572e+03
 2.51408908e+03
 2.51421960e+03
 2.51390517e+03
 2.51404656e+03
 2.51448108e+03
 2.51413273e+03
 2.51426257e+03
 2.51473815e+03
 2.51403439e+03
 2.51400534e+03
 2.51439949e+03
 2.51413457e+03
 2.51372317e+03
 2.51348694e+03
 2.51393392e+03
 2.51426856e+03
 2.51384507e+03
 2.51410531e+03
 2.51400688e+03
 2.51380378e+03
 2.51384205e+03
 2.51349062e+03
 2.51357422e+03
 2.51331939e+03
 Inf
 2.51330405e+03
 2.51336729e+03
 2.51342679e+03
 2.51392107e+03
 2.51401037e+03
 2.51347876e+03
 2.51334779e+03
 2.51372851e+03
 2.51409090e+03
 2.51335668e+03
 2.51332506e+03
 2.51386630e+03
 2.51396668e+03
 2.51342835e+03
 2.51366396e+03
 2.51435771e+03
 Inf
 Inf
 2.51327768e+03
 Inf
 2.51330509e+03
 2.51334726e+03
 Inf
 Inf
 Inf
 2.51331133e+03
 2.51328304e+03
 2.51328608e+03
 2.51331249e+03
 2.51332284e+03
 2.51327578e+03
 Inf
 Inf
 Inf
 Inf
 2.51332024e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.75442873e+302
 5.10895049e+185
 1.91656029e+209
 Inf
 Inf
 2.34242439e+212
 4.02273774e+216
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51376125e+03
 2.51384815e+03
 2.51327570e+03
 Inf
 Inf
 Inf
 Inf
 1.65993874e+296
 1.58741864e+277
 2.51329726e+03
 2.51334407e+03
 2.51333492e+03
 2.51327768e+03
 2.51328957e+03
 2.51350282e+03
 2.51351539e+03
 2.51362290e+03
 2.51359979e+03
 2.51357205e+03
 2.51342524e+03
 2.51330039e+03
 2.51327690e+03
 2.51329548e+03
 2.51334833e+03
 2.51336309e+03
 2.51339315e+03
 2.51346376e+03
 2.51345015e+03
 2.51327570e+03
 Inf
 2.51328836e+03
 Inf
 2.51327501e+03
 2.51344437e+03
 2.51346988e+03
 2.51344932e+03
 2.51342835e+03
 2.51359867e+03
 2.51345016e+03
 2.51338907e+03
 2.51349903e+03
 2.51336249e+03
 2.51337853e+03
 2.51357750e+03
 2.51346724e+03
 2.51340799e+03
 2.51352821e+03
 2.51371786e+03
 2.51363593e+03
 2.51358522e+03
 2.51336729e+03
 2.51327527e+03
 2.51333790e+03
 2.51346987e+03
 2.51339110e+03
 2.51344766e+03
 2.51355811e+03
 2.51358634e+03
 2.51360436e+03
 2.51347876e+03
 2.51355389e+03
 2.51335329e+03
 2.51333394e+03
 2.51337345e+03
 Inf
 Inf
 Inf
 2.51329214e+03
 Inf
 Inf
 2.51328110e+03
 2.51327756e+03
 Inf
 4.11077446e+276
 2.97252057e+238
 Inf
 Inf
 Inf
 2.51334354e+03
 2.51327805e+03
 2.51329726e+03
 2.51356023e+03
 2.51347786e+03
 2.51341761e+03
 2.51352621e+03
 2.51349434e+03
 2.51338439e+03
 2.51344766e+03
 2.51361822e+03
 2.51348970e+03
 2.51344110e+03
 2.51348147e+03
 2.51356558e+03
 2.51360895e+03
 2.51362998e+03
 2.51371257e+03
 2.51377805e+03
 2.51368281e+03
 2.51357205e+03
 2.51357526e+03
 2.51348057e+03
 2.51349247e+03
 2.51357641e+03
 2.51352821e+03
 2.51355178e+03
 2.51356773e+03
 2.51361241e+03
 2.51372986e+03
 2.51662433e+03
 2.51884532e+03
 2.51574484e+03
 2.51472858e+03
 2.51411260e+03
 2.51403966e+03
 2.51394854e+03
 2.51365043e+03
 2.51349155e+03
 2.51346550e+03
 2.51346898e+03
 2.51347967e+03
 2.51369821e+03
 2.51406416e+03
 2.51400855e+03
 2.51369176e+03
 2.51357532e+03
 2.51358631e+03
 2.51403093e+03
 2.51396822e+03
 2.51420035e+03
 2.51448328e+03
 2.51396662e+03
 2.51422150e+03
 2.51447891e+03
 2.51438265e+03
 2.51437447e+03
 2.51452516e+03
 2.51457689e+03
 2.51412355e+03
 2.51417557e+03
 2.51497563e+03
 2.51440581e+03
 2.51357860e+03
 2.51353631e+03
 2.51354657e+03
 2.51346031e+03
 2.51342293e+03
 2.51348420e+03
 2.51358190e+03
 2.51355074e+03
 2.51366895e+03
 2.51376126e+03
 2.51367900e+03
 2.51390044e+03
 2.51430053e+03
 2.51360550e+03
 2.51341387e+03
 2.51362879e+03
 2.51327897e+03
 Inf
 2.51375434e+03
 2.51383467e+03
 2.51360665e+03
 2.51403265e+03
 2.51400507e+03
 2.51353224e+03
 2.51346203e+03
 2.51366148e+03
 2.51346376e+03
 2.51338177e+03
 2.51336015e+03
 2.51337471e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51358411e+03
 2.51420228e+03
 2.51478180e+03
 2.51431872e+03
 2.51350856e+03
 2.51348513e+03
 2.51361588e+03
 2.51358189e+03
 2.51370080e+03
 2.51388325e+03
 2.51355705e+03
 2.51382275e+03
 2.51457685e+03
 2.51414753e+03
 2.51372450e+03
 2.51342913e+03
 2.51329975e+03
 2.51329607e+03
 2.51330651e+03
 2.51333790e+03
 2.51372717e+03
 2.51368277e+03
 2.51338974e+03
 2.51337159e+03
 2.51334043e+03
 2.51330169e+03
 2.51329214e+03
 2.51332240e+03
 2.51328481e+03
 2.51327495e+03
 2.51336428e+03
 2.51336552e+03
 Inf
 2.51328765e+03
 2.51388792e+03
 2.51402581e+03
 2.51373930e+03
 2.51387859e+03
 2.51388047e+03
 2.51374066e+03
 2.51371920e+03
 2.51368154e+03
 2.51394040e+03
 2.51406241e+03
 2.51389259e+03
 2.51365287e+03
 2.51347252e+03
 2.51401373e+03
 2.51416065e+03
 2.51375571e+03
 2.51372187e+03
 Inf
 Inf
 2.51348970e+03
 2.51378514e+03
 2.51384510e+03
 2.51361938e+03
 2.51386019e+03
 2.51377100e+03
 2.51352821e+03
 2.51379083e+03
 2.51351049e+03
 2.51355704e+03
 2.51380958e+03
 2.51403787e+03
 2.51469280e+03
 2.51404308e+03
 2.51384659e+03
 2.51411259e+03
 2.51412922e+03
 2.51407301e+03
 2.51405712e+03
 2.51431062e+03
 2.51447021e+03
 2.51428446e+03
 2.51386477e+03
 2.51378515e+03
 2.51400860e+03
 2.51336073e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 4.15473269e+208
 7.45389951e+165
 4.32655002e+210
 Inf
 Inf
 Inf
 3.72176582e+192
 1.03537486e+235
 Inf
 Inf
 Inf
 5.77412852e+213
 4.48718870e+199
 9.10447123e+209
 Inf
 Inf
 1.10095928e+187
 1.99577618e+223
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.81537477e+278
 Inf
 Inf
 Inf
 2.51327415e+03
 7.60181236e+255
 7.76633536e+145
 3.87267790e+153
 5.11419435e+203
 Inf
 1.97514525e+305
 2.15329573e+217
 6.99137435e+243
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.39484887e+269
 Inf
 Inf
 2.51327883e+03
 2.51342140e+03
 2.51331056e+03
 2.51330303e+03
 2.51332641e+03
 2.51328267e+03
 2.51332687e+03
 2.51335162e+03
 2.51334043e+03
 2.51331171e+03
 2.51331095e+03
 2.51327495e+03
 2.51331607e+03
 2.51347340e+03
 2.51329577e+03
 2.51327768e+03
 2.51336190e+03
 2.51332024e+03
 2.51328523e+03
 Inf
 Inf
 Inf
 2.51358522e+03
 2.51376127e+03
 Inf
 2.51327856e+03
 2.51327954e+03
 Inf
 Inf
 Inf
 2.51327456e+03
 2.51328143e+03
 2.51328789e+03
 2.51330869e+03
 2.51339246e+03
 2.51332596e+03
 2.51331288e+03
 2.51331018e+03
 2.51327501e+03
 Inf
 Inf
 2.51329057e+03
 2.51328587e+03
 2.51340654e+03
 2.51357097e+03
 2.51362526e+03
 2.51359191e+03
 2.51331446e+03
 2.51333840e+03
 2.51335956e+03
 2.51336132e+03
 2.51347607e+03
 2.51345859e+03
 2.51345267e+03
 2.51341837e+03
 2.51339178e+03
 2.51343546e+03
 2.51328789e+03
 Inf
 2.51327659e+03
 2.51330071e+03
 2.51327429e+03
 2.51327756e+03
 2.51337982e+03
 2.51353123e+03
 2.51349247e+03
 2.51340581e+03
 2.51335956e+03
 2.51336789e+03
 2.51338439e+03
 2.51365287e+03
 2.51544514e+03
 2.51593299e+03
 2.51499382e+03
 2.51434739e+03
 2.51409270e+03
 2.51390360e+03
 2.51368791e+03
 2.51388635e+03
 2.51459050e+03
 2.51470480e+03
 2.51363833e+03
 2.51355495e+03
 2.51379369e+03
 2.51398999e+03
 2.51398465e+03
 2.51373794e+03
 2.51380521e+03
 2.51369950e+03
 2.51399335e+03
 2.51437017e+03
 2.51444216e+03
 2.51421958e+03
 2.51430654e+03
 2.51470466e+03
 2.51420609e+03
 2.51396003e+03
 2.51414939e+03
 2.51487095e+03
 2.51503858e+03
 2.51469752e+03
 2.51438060e+03
 2.51398327e+03
 2.51406058e+03
 2.51431670e+03
 2.51470467e+03
 2.51454746e+03
 2.51424098e+03
 2.51458820e+03
 2.51464361e+03
 2.51469044e+03
 2.51505964e+03
 2.51469040e+03
 2.51450746e+03
 2.51471417e+03
 2.51458591e+03
 2.51441857e+03
 2.51430054e+03
 2.51425868e+03
 2.51442495e+03
 2.51511858e+03
 2.51518979e+03
 2.51465748e+03
 2.51485335e+03
 2.51532669e+03
 2.51497819e+03
 2.51503037e+03
 2.51512129e+03
 2.51446801e+03
 2.51486338e+03
 2.51489648e+03
 2.51398830e+03
 2.51404299e+03
 2.51407125e+03
 2.51390517e+03
 2.51401543e+03
 2.51377382e+03
 2.51390832e+03
 2.51394856e+03
 2.51385715e+03
 2.51394364e+03
 2.51410714e+03
 2.51425669e+03
 2.51409989e+03
 2.51404136e+03
 2.51375434e+03
 2.51436599e+03
 2.51530681e+03
 2.51481363e+03
 2.51433097e+03
 2.51448760e+03
 2.51466218e+03
 2.51406238e+03
 2.51450300e+03
 2.51544808e+03
 2.51640959e+03
 2.51637554e+03
 2.51490124e+03
 2.51469290e+03
 2.51451630e+03
 2.51445289e+03
 2.51458365e+03
 2.51483598e+03
 2.51532384e+03
 2.51512932e+03
 2.51459278e+03
 2.51333890e+03
 Inf
 2.51331772e+03
 2.51339591e+03
 2.51330687e+03
 2.51327805e+03
 2.51327690e+03
 2.51328267e+03
 2.51332110e+03
 2.51341611e+03
 2.51348057e+03
 2.51334406e+03
 2.51331406e+03
 2.51332328e+03
 2.51333154e+03
 2.51346987e+03
 2.51356558e+03
 2.51343706e+03
 2.51341989e+03
 2.51341762e+03
 2.51338242e+03
 2.51334618e+03
 2.51334779e+03
 2.51332197e+03
 2.51334779e+03
 2.51345099e+03
 2.51339660e+03
 2.51330236e+03
 Inf
 Inf
 Inf
 Inf
 2.51328381e+03
 2.51331526e+03
 2.51332825e+03
 2.51331327e+03
 2.51328061e+03
 2.51330651e+03
 2.51330235e+03
 2.51329135e+03
 2.51334779e+03
 2.51333689e+03
 2.51341091e+03
 2.51337917e+03
 2.51328213e+03
 2.51328342e+03
 2.51329268e+03
 2.51333941e+03
 2.51328421e+03
 2.51327413e+03
 2.51360550e+03
 2.51387245e+03
 2.51356023e+03
 2.51336428e+03
 2.51331171e+03
 2.51344273e+03
 2.51335498e+03
 2.51327869e+03
 2.51332153e+03
 2.51356558e+03
 2.51356215e+03
 2.51334302e+03
 2.51337725e+03
 2.51351927e+03
 2.51352329e+03
 2.51357097e+03
 2.51373524e+03
 2.51351049e+03
 2.51342447e+03
 2.51336073e+03
 2.51329911e+03
 2.51338177e+03
 2.51354038e+03
 2.51368920e+03
 2.51353224e+03
 2.51333690e+03
 2.51329696e+03
 2.51343070e+03
 2.51357532e+03
 2.50682477e+03
 2.51345689e+03
 2.51343228e+03
 2.51337035e+03
 2.51328697e+03
 2.51330943e+03
 2.51332779e+03
 2.51351049e+03
 2.51395509e+03
 2.51376402e+03
 2.51370733e+03
 2.51393716e+03
 2.51396999e+03
 2.51410533e+03
 2.51399334e+03
 2.51399827e+03
 2.51418700e+03
 2.51403092e+03
 2.51382571e+03
 2.51409448e+03
 2.51420421e+03
 2.51396166e+03
 2.51425667e+03
 2.51462264e+03
 2.51431466e+03
 2.51418323e+03
 2.51455424e+03
 2.51414939e+03
 2.51408197e+03
 2.51444207e+03
 2.51431666e+03
 2.51408014e+03
 2.51429447e+03
 2.51455201e+03
 2.51413458e+03
 2.51412011e+03
 2.51435977e+03
 2.51444427e+03
 2.51430657e+03
 2.51402231e+03
 2.51432075e+03
 2.51446153e+03
 2.51460883e+03
 2.51572305e+03
 2.51521700e+03
 2.51439739e+03
 2.51451176e+03
 2.51458141e+03
 2.51435563e+03
 2.51410533e+03
 2.51368154e+03
 2.51363476e+03
 2.51441643e+03
 2.51480389e+03
 2.51462028e+03
 2.51413459e+03
 2.51389731e+03
 2.51388646e+03
 2.51364678e+03
 2.51407123e+03
 2.51416066e+03
 2.51372851e+03
 2.51410350e+03
 2.51403782e+03
 2.51375159e+03
 2.51398159e+03
 2.51378655e+03
 2.51371126e+03
 2.51364194e+03
 2.51355389e+03
 2.51383311e+03
 2.51390678e+03
 2.51380377e+03
 2.51380951e+03
 2.51375158e+03
 2.51410351e+03
 2.51425868e+03
 2.51385412e+03
 2.51351340e+03
 2.51363832e+03
 2.51432077e+03
 2.51453414e+03
 2.51450511e+03
 2.51454077e+03
 2.51482357e+03
 2.51473567e+03
 2.51384207e+03
 2.51600121e+03
 2.51730770e+03
 2.51416998e+03
 2.51412390e+03
 2.51410535e+03
 2.51429248e+03
 2.51453856e+03
 2.51450511e+03
 2.51445502e+03
 2.51461110e+03
 2.51503054e+03
 2.51460649e+03
 2.51433507e+03
 2.51419273e+03
 2.51428245e+03
 2.51448765e+03
 2.51431669e+03
 2.51372317e+03
 2.51382568e+03
 2.51429650e+03
 2.51437233e+03
 2.51456101e+03
 2.51463888e+03
 2.51446800e+03
 2.51431468e+03
 2.51407836e+03
 2.51397493e+03
 2.51394693e+03
 2.51392749e+03
 2.51415686e+03
 2.51409625e+03
 2.51447453e+03
 2.51419461e+03
 2.51384959e+03
 2.51428446e+03
 2.51497306e+03
 2.51463880e+03
 2.51422153e+03
 2.51432683e+03
 2.51403786e+03
 2.51401209e+03
 2.51386783e+03
 2.51376126e+03
 2.51352223e+03
 2.51351936e+03
 2.51367901e+03
 2.51362878e+03
 2.51378655e+03
 2.51365409e+03
 2.51347075e+03
 2.51342757e+03
 2.51378371e+03
 2.51377636e+03
 2.51367774e+03
 2.51370079e+03
 2.51369561e+03
 2.51389573e+03
 2.51403788e+03
 2.51440584e+03
 2.51465752e+03
 2.51507030e+03
 2.51483344e+03
 2.51391309e+03
 2.51400855e+03
 2.51453185e+03
 2.51426258e+03
 2.51421192e+03
 2.51409629e+03
 2.51350473e+03
 2.51329135e+03
 2.51387243e+03
 2.51500431e+03
 2.51468797e+03
 2.51463430e+03
 2.51456779e+03
 2.51458130e+03
 2.51419081e+03
 2.51421752e+03
 2.51457004e+03
 2.51466928e+03
 2.51485842e+03
 2.51480621e+03
 2.51450965e+03
 2.51422541e+03
 2.51464115e+03
 2.51526731e+03
 2.51482849e+03
 2.51503312e+03
 2.51563059e+03
 2.51552771e+03
 2.51465983e+03
 2.51429250e+03
 2.51512396e+03
 2.51491130e+03
 2.51429048e+03
 2.51438051e+03
 2.51475746e+03
 2.51466209e+03
 2.51441007e+03
 2.51493693e+03
 2.51518403e+03
 2.51433915e+03
 2.51446575e+03
 2.51498083e+03
 2.51450742e+03
 2.51428849e+03
 2.51408730e+03
 2.51376403e+03
 2.51327830e+03
 Inf
 2.51342602e+03
 2.51353123e+03
 2.51328720e+03
 Inf
 Inf
 Inf
 Inf
 2.51333890e+03
 2.51358411e+03
 2.51374066e+03
 2.51347429e+03
 2.51345776e+03
 2.51360780e+03
 2.51375159e+03
 2.51408014e+03
 2.51392746e+03
 2.51384658e+03
 2.51364315e+03
 2.51372583e+03
 2.51423317e+03
 2.51405883e+03
 2.51408904e+03
 2.51392106e+03
 2.51387708e+03
 2.51400350e+03
 2.51396000e+03
 2.51430052e+03
 2.51432705e+03
 2.51442282e+03
 2.51410714e+03
 2.51365532e+03
 2.51383310e+03
 2.51423318e+03
 2.51420212e+03
 2.51411259e+03
 2.51419843e+03
 2.51442709e+03
 2.51455203e+03
 2.51441430e+03
 2.51433917e+03
 2.51471418e+03
 2.51416810e+03
 2.51817202e+03
 2.52729357e+03
 2.52519406e+03
 2.52187633e+03
 2.51960139e+03
 2.51690290e+03
 2.51630499e+03
 2.51634207e+03
 2.51507028e+03
 2.51451631e+03
 2.51399842e+03
 2.51461339e+03
 2.51538986e+03
 2.51462030e+03
 2.51436395e+03
 2.51472852e+03
 2.51476014e+03
 2.51512128e+03
 2.51478664e+03
 2.51403093e+03
 2.51388172e+03
 2.51424097e+03
 2.51457459e+03
 2.51402747e+03
 2.51400706e+03
 2.51442708e+03
 2.51409808e+03
 2.51364799e+03
 2.51372315e+03
 2.51359191e+03
 2.51348878e+03
 2.51395837e+03
 2.51426263e+03
 2.51389729e+03
 2.51408549e+03
 2.51452517e+03
 2.51351437e+03
 2.51402746e+03
 2.51572929e+03
 2.51434942e+03
 2.51461103e+03
 2.51500168e+03
 2.51469750e+03
 2.51444855e+03
 2.51405886e+03
 2.51469041e+03
 2.51397825e+03
 2.51371126e+03
 2.51449202e+03
 2.51455675e+03
 2.51433505e+03
 2.51431072e+03
 2.51471896e+03
 2.51457226e+03
 2.51420611e+03
 2.51411444e+03
 2.51408553e+03
 2.51359980e+03
 2.51356560e+03
 2.51417564e+03
 2.51457234e+03
 2.51435768e+03
 2.51411807e+03
 2.51464115e+03
 2.51384958e+03
 2.51373932e+03
 2.51432687e+03
 2.51456783e+03
 2.51456218e+03
 2.51399167e+03
 2.51419269e+03
 2.51416802e+03
 2.51434738e+03
 2.51481122e+03
 2.51440582e+03
 2.51432082e+03
 2.51441217e+03
 2.51444642e+03
 2.51399166e+03
 2.51405529e+03
 2.51446584e+03
 2.51439520e+03
 2.51448107e+03
 2.51419653e+03
 2.51431464e+03
 2.51438061e+03
 2.51452962e+03
 2.51441429e+03
 2.51446798e+03
 2.51477203e+03
 2.51474990e+03
 2.51535812e+03
 2.51476714e+03
 2.51430255e+03
 2.51494463e+03
 2.51384057e+03
 2.51345775e+03
 2.51380522e+03
 2.51398832e+03
 2.51394688e+03
 2.51391310e+03
 2.51397658e+03
 2.51405184e+03
 2.51413275e+03
 2.51421381e+03
 2.51456778e+03
 2.51406946e+03
 2.51374611e+03
 2.51396661e+03
 2.51419272e+03
 2.51520878e+03
 2.51545411e+03
 2.51474055e+03
 2.51521980e+03
 2.51549530e+03
 2.51504372e+03
 2.51461803e+03
 2.51526165e+03
 2.51498596e+03
 2.51395673e+03
 2.51391799e+03
 2.51374338e+03
 2.51332284e+03
 2.51341239e+03
 2.51372851e+03
 2.51355388e+03
 2.51358743e+03
 2.51349155e+03
 2.51336912e+03
 2.51341988e+03
 2.51357970e+03
 2.51394203e+03
 2.51363713e+03
 2.51334094e+03
 2.51346203e+03
 2.51350857e+03
 2.51340581e+03
 2.51355705e+03
 2.51361011e+03
 2.51351340e+03
 2.51346203e+03
 2.51367396e+03
 2.51372318e+03
 2.51334565e+03
 2.51338177e+03
 2.51345689e+03
 2.51352721e+03
 2.51368536e+03
 2.51404135e+03
 2.51402556e+03
 2.51371125e+03
 2.51375156e+03
 2.51351243e+03
 2.51355493e+03
 2.51366521e+03
 2.51343706e+03
 2.51348877e+03
 2.51392587e+03
 2.51399678e+03
 2.51350377e+03
 2.51352619e+03
 2.51357532e+03
 2.51333640e+03
 2.51333347e+03
 2.51366396e+03
 2.51380090e+03
 2.51349715e+03
 2.51334250e+03
 2.51333790e+03
 2.51341018e+03
 2.51334146e+03
 2.51341912e+03
 2.51353022e+03
 2.51336073e+03
 2.51331406e+03
 2.51330615e+03
 2.51330337e+03
 2.51429650e+03
 2.51514847e+03
 2.51383163e+03
 2.51391753e+03
 2.51391947e+03
 2.51360780e+03
 2.51350282e+03
 2.51346376e+03
 2.51357314e+03
 2.51360895e+03
 2.51344766e+03
 2.51369691e+03
 2.51346203e+03
 2.51346365e+03
 2.51427053e+03
 2.51406942e+03
 2.51408180e+03
 2.51436185e+03
 2.51393069e+03
 2.51328957e+03
 2.51327968e+03
 2.51349809e+03
 2.51328565e+03
 Inf
 Inf
 2.51329519e+03
 Inf
 2.51328630e+03
 2.51340654e+03
 2.51359528e+03
 2.51348238e+03
 2.51333106e+03
 2.51343307e+03
 Inf
 Inf
 2.51338112e+03
 2.51343071e+03
 2.51337158e+03
 2.51328652e+03
 2.51346899e+03
 2.51343228e+03
 2.51337035e+03
 2.51334997e+03
 2.51331366e+03
 2.51328461e+03
 2.51328178e+03
 2.51346987e+03
 2.51341611e+03
 2.51330039e+03
 2.51329880e+03
 2.51339246e+03
 2.51335725e+03
 2.51334834e+03
 2.51356989e+03
 2.51352025e+03
 2.51370601e+03
 2.51489365e+03
 2.51467848e+03
 2.51372985e+03
 2.51393229e+03
 2.51507029e+03
 2.51544821e+03
 2.51502524e+03
 2.51467628e+03
 2.51437225e+03
 2.51443129e+03
 2.51411989e+03
 2.51404311e+03
 2.51415126e+03
 2.51430255e+03
 2.51394040e+03
 2.51337725e+03
 2.51349155e+03
 2.51369176e+03
 2.51369456e+03
 2.51396332e+03
 2.51398337e+03
 2.51389103e+03
 2.51372317e+03
 2.51390991e+03
 2.51454303e+03
 2.51419651e+03
 2.51448543e+03
 2.51522263e+03
 2.51460649e+03
 2.51388948e+03
 2.51371786e+03
 2.51407301e+03
 2.51389102e+03
 2.51399503e+03
 2.51511318e+03
 2.51454523e+03
 2.51378088e+03
 2.51357206e+03
 2.51344932e+03
 2.51339660e+03
 2.51355494e+03
 2.51343786e+03
 2.51327650e+03
 2.51340366e+03
 2.51356237e+03
 2.51357644e+03
 2.51387244e+03
 2.51384651e+03
 2.51362643e+03
 2.51370600e+03
 2.51367647e+03
 2.51339178e+03
 2.51335162e+03
 2.51352124e+03
 2.51334146e+03
 2.51341912e+03
 2.51373524e+03
 2.51358079e+03
 2.51345689e+03
 2.51341837e+03
 2.51370471e+03
 2.51363115e+03
 2.51331133e+03
 2.51358411e+03
 2.51378230e+03
 2.51357314e+03
 2.51378513e+03
 2.51337853e+03
 2.51329787e+03
 2.51379656e+03
 2.51376671e+03
 2.51341761e+03
 2.51368663e+03
 2.51368011e+03
 2.51338439e+03
 2.51353629e+03
 2.51390834e+03
 2.51394698e+03
 2.51408372e+03
 2.51402573e+03
 2.51361589e+03
 2.51355495e+03
 2.51352922e+03
 2.51344273e+03
 2.51336488e+03
 2.51335329e+03
 2.51375710e+03
 2.51400013e+03
 2.51365532e+03
 2.51346031e+03
 2.51350759e+03
 2.51360895e+03
 2.51353325e+03
 2.51347252e+03
 2.51344110e+03
 2.51347163e+03
 2.51354970e+03
 2.51348970e+03
 2.51360094e+03
 2.51377102e+03
 2.51352921e+03
 2.51332461e+03
 2.51328957e+03
 2.51329696e+03
 2.51328675e+03
 2.51337598e+03
 2.51358967e+03
 2.51330687e+03
 Inf
 2.51328765e+03
 2.51333154e+03
 2.51330039e+03
 2.51327415e+03
 2.51331939e+03
 2.51345520e+03
 2.51352026e+03
 2.51346987e+03
 2.51347607e+03
 2.51360322e+03
 2.51327792e+03
 2.51327897e+03
 2.51343307e+03
 2.51341836e+03
 2.51354970e+03
 2.51363953e+03
 2.51352322e+03
 2.51339800e+03
 2.51368154e+03
 2.51379658e+03
 2.51347429e+03
 2.51343149e+03
 2.51336608e+03
 2.51331566e+03
 2.51327612e+03
 2.51340726e+03
 2.51376403e+03
 2.51347607e+03
 2.51339800e+03
 2.51342757e+03
 2.51332918e+03
 2.51334146e+03
 2.51338772e+03
 2.51333740e+03
 2.51330405e+03
 2.51332284e+03
 2.51348420e+03
 2.51363594e+03
 2.51339110e+03
 2.51342064e+03
 2.51372985e+03
 2.51342835e+03
 2.51329322e+03
 2.51330906e+03
 2.51338974e+03
 2.51348970e+03
 2.51353630e+03
 2.51351340e+03
 2.51337221e+03
 2.51337917e+03
 2.51341165e+03
 2.51328908e+03
 2.51340294e+03
 2.51390359e+03
 2.51359980e+03
 2.51336548e+03
 2.51341018e+03
 2.51353528e+03
 2.51332506e+03
 2.51329057e+03
 2.51336850e+03
 2.51350473e+03
 2.51338839e+03
 2.51331056e+03
 2.51349155e+03
 2.51348778e+03
 2.51344110e+03
 2.51341837e+03
 2.51335611e+03
 2.51340799e+03
 2.51354244e+03
 2.51339940e+03
 2.51329880e+03
 2.51344029e+03
 2.51358301e+03
 2.51333297e+03
 2.51332506e+03
 2.51349248e+03
 2.51341988e+03
 2.51333059e+03
 2.51338839e+03
 2.51336487e+03
 2.51332965e+03
 2.51335273e+03
 2.51333690e+03
 Inf
 Inf
 2.51327417e+03
 Inf
 Inf
 Inf
 2.51328029e+03
 Inf
 Inf
 2.51327570e+03
 2.51327595e+03
 2.51327925e+03
 2.51330509e+03
 2.51330039e+03
 2.51335385e+03
 2.51340152e+03
 2.51365410e+03
 2.51350472e+03
 2.51332918e+03
 2.51346724e+03
 2.51342217e+03
 2.51330474e+03
 2.51329268e+03
 2.51352322e+03
 2.51347517e+03
 2.51330474e+03
 2.51333059e+03
 2.51333891e+03
 2.51336309e+03
 2.51332551e+03
 2.51331855e+03
 2.51334618e+03
 2.51329462e+03
 2.51339591e+03
 2.51339735e+03
 2.51339110e+03
 2.51366272e+03
 2.51340509e+03
 2.51331018e+03
 Inf
 Inf
 2.51335273e+03
 2.51329548e+03
 2.51335841e+03
 2.51339730e+03
 2.51328249e+03
 2.51327621e+03
 2.51334833e+03
 2.51331446e+03
 Inf
 2.51327701e+03
 2.51331813e+03
 2.51334834e+03
 2.51336073e+03
 Inf
 Inf
 2.51331982e+03
 2.51329268e+03
 Inf
 Inf
 2.51351633e+03
 2.51379084e+03
 2.51328675e+03
 2.51327998e+03
 2.51333640e+03
 2.51334198e+03
 2.51333059e+03
 2.51335898e+03
 2.51352124e+03
 2.51346636e+03
 2.51335162e+03
 2.50986503e+03
 2.51329548e+03
 2.51330303e+03
 2.51333154e+03
 2.51334354e+03
 2.51332687e+03
 2.51332328e+03
 2.51330103e+03
 2.51328381e+03
 2.51327438e+03
 Inf
 2.51332372e+03
 2.51330039e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331486e+03
 2.51334672e+03
 2.51333011e+03
 Inf
 Inf
 Inf
 Inf
 2.51328342e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 9.37192264e+271
 Inf
 Inf
 7.11667027e+274
 1.44584829e+246
 Inf
 Inf
 4.44190488e+282
 Inf
 Inf
 Inf
 Inf
 2.51327474e+03
 Inf
 Inf
 Inf
 Inf
 2.51337725e+03
 2.51334459e+03
 2.51000019e+03
 2.51335107e+03
 2.51329109e+03
 2.51327621e+03
 2.51335273e+03
 2.51352522e+03
 2.51339870e+03
 Inf
 Inf
 2.51332328e+03
 2.51334780e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327441e+03
 2.51330759e+03
 Inf
 1.84505740e+283
 Inf
 Inf
 1.86603753e+200
 3.83702819e+289
 Inf
 Inf
 9.02504915e+208
 1.18914817e+118
 1.14772610e+224
 Inf
 3.43955082e+197
 1.94322389e+194
 2.42912375e+243
 1.58682643e+292
 Inf
 Inf
 Inf
 2.51327631e+03
 Inf
 Inf
 2.51330269e+03
 2.51329377e+03
 2.51329109e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.31951547e+303
 Inf
 Inf
 Inf
 2.51327563e+03
 Inf
 2.50996052e+278
 Inf
 Inf
 2.83127383e+235
 Inf
 2.51327520e+03
 Inf
 Inf
 Inf
 2.78056992e+302
 Inf
 Inf
 4.04652474e+237
 1.04332541e+235
 6.18492031e+277
 2.48949911e+271
 Inf
 Inf
 Inf
 2.51327452e+03
 2.51328093e+03
 Inf
 Inf
 Inf
 2.51328932e+03
 2.51332965e+03
 2.51327514e+03
 Inf
 Inf
 Inf
 2.51331446e+03
 2.51332328e+03
 Inf
 4.41705554e+282
 Inf
 Inf
 Inf
 Inf
 Inf
 9.27097409e+209
 2.51216812e+221
 Inf
 Inf
 8.42033599e+222
 3.93016629e+190
 2.42715312e+243
 8.51793358e+258
 7.49356097e+252
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.09124547e+238
 5.42165104e+306
 2.02671835e+223
 1.35775058e+202
 6.97126848e+274
 3.50626540e+291
 Inf
 2.36091437e+253
 4.50887180e+199
 1.56386920e+277
 Inf
 9.87212371e+278
 2.15617049e+300
 Inf
 Inf
 Inf
 2.51327412e+03
 2.51329434e+03
 2.51327452e+03
 Inf
 Inf
 Inf
 2.51328077e+03
 2.51329322e+03
 2.51391787e+03
 2.51567663e+03
 2.51690680e+03
 2.51764177e+03
 2.51718055e+03
 2.51568585e+03
 2.51435151e+03
 2.51392910e+03
 2.51369821e+03
 2.51361010e+03
 2.51343149e+03
 2.51333890e+03
 2.51333842e+03
 2.51331689e+03
 2.51328523e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.39387964e+256
 Inf
 Inf
 Inf
 6.53311039e+228
 7.24606475e+294
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.16832334e+232
 1.72352658e+186
 7.39948241e+252
 Inf
 2.36754126e+253
 3.72813113e+162
 3.60392270e+180
 1.47282206e+215
 4.66369494e+211
 8.11756715e+232
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327768e+03
 1.79934877e+290
 4.14789811e+137
 5.24874323e+129
 5.72145477e+135
 9.14963142e+126
 6.54555092e+118
 2.99047588e+111
 3.01669842e+115
 6.32424836e+131
 4.39552626e+134
 3.11742929e+154
 1.24382093e+134
 5.45026403e+132
 4.13806304e+158
 2.56517796e+153
 3.63422800e+145
 7.41163687e+148
 9.85052590e+163
 2.06310066e+154
 9.22169542e+185
 1.07135363e+238
 1.56490846e+308
 Inf
 4.93605699e+273
 1.89652238e+220
 2.01237462e+244
 Inf
 Inf
 Inf
 3.41712577e+293
 1.25377932e+247
 1.20300029e+203
 1.04783868e+282
 Inf
 Inf
 Inf
 1.96613382e+265
 2.73272792e+191
 8.59147909e+188
 1.08539989e+187
 1.09533264e+199
 1.55081650e+280
 Inf
 Inf
 Inf
 2.50199561e+271
 9.49861427e+169
 5.29119308e+149
 Inf
 Inf
 Inf
 3.55144871e+291
 Inf
 Inf
 2.51327414e+03
 Inf
 Inf
 2.51331607e+03
 2.51328362e+03
 2.51332506e+03
 2.51330795e+03
 2.51336015e+03
 2.51346899e+03
 2.51343466e+03
 2.51366272e+03
 2.51354761e+03
 2.51333541e+03
 2.51330832e+03
 2.51344029e+03
 2.51332779e+03
 2.51330687e+03
 2.51366521e+03
 2.51391311e+03
 2.51377381e+03
 2.51359867e+03
 2.51355075e+03
 2.51342524e+03
 2.51340081e+03
 2.51359079e+03
 2.51360554e+03
 2.51354244e+03
 2.51341091e+03
 2.51342447e+03
 2.51359303e+03
 2.51352025e+03
 2.51347429e+03
 2.51340152e+03
 2.51348602e+03
 2.51380089e+03
 2.51372582e+03
 2.51344932e+03
 2.51351730e+03
 2.51350951e+03
 2.51334779e+03
 2.51329849e+03
 2.51334459e+03
 2.51345016e+03
 2.51333840e+03
 2.51336668e+03
 2.51351829e+03
 2.51333059e+03
 Inf
 2.51336547e+03
 2.51350187e+03
 2.51334618e+03
 2.51334250e+03
 2.51339870e+03
 2.51332067e+03
 Inf
 2.51327427e+03
 2.51372450e+03
 2.51352421e+03
 2.51374610e+03
 2.51403267e+03
 2.51381103e+03
 2.51356343e+03
 2.51364920e+03
 2.51400521e+03
 2.51384056e+03
 2.51385711e+03
 2.51383162e+03
 2.51346376e+03
 2.51337535e+03
 2.51334779e+03
 2.51335554e+03
 2.51337534e+03
 2.51350092e+03
 2.51368919e+03
 2.51339521e+03
 2.51330832e+03
 2.51333394e+03
 2.51338705e+03
 2.51337283e+03
 2.51331607e+03
 2.51328195e+03
 2.51327448e+03
 2.51328502e+03
 2.51330039e+03
 2.51344029e+03
 2.51329849e+03
 Inf
 2.51341988e+03
 2.50858472e+03
 Inf
 Inf
 2.51330440e+03
 Inf
 Inf
 2.51327432e+03
 2.51328421e+03
 Inf