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 4.76656712e+27
 3.52452288e+63
 1.59168347e+32
 3.00893689e+26
 3.28592597e+153
 Inf
 1.97568939e+275
 2.08632038e+211
 1.27233160e+237
 9.00958276e+252
 Inf
 Inf
 Inf
 Inf
 4.11339305e+161
 2.28301147e+200
 Inf
 1.62839385e+231
 2.41270235e+152
 3.28723808e+205
 Inf
 Inf
 Inf
 Inf
 Inf
 3.64223094e+260
 Inf
 Inf
 Inf
 Inf
 6.51446661e-06
 1.02874930e+260
 4.50970347e+216
 8.86281511e+263
 6.68545762e+167
 1.35184340e+158
 1.04742742e+169
 6.03646702e+121
 1.58622157e+84
 2.56011860e+74
 2.29070174e+90
 3.54978383e+103
 1.55705758e+126
 3.04736732e+194
 7.77582826e+117
 3.87801075e+90
 2.13078001e+126
 4.89612781e+122
 9.02795707e+99
 3.66085124e+147
 1.84087825e+284
 2.35274700e+198
 1.92663641e+244
 Inf
 1.84459609e+179
 8.93124316e+162
 1.03426352e+208
 1.69511942e+206
 3.47111778e+232
 2.20715101e+250
 1.31053171e+91
 7.52003303e+91
 3.67521376e+143
 8.24439225e+157
 7.60590149e+258
 6.51366689e-06
 6.51467772e-06
 1.54048744e+205
 1.23580049e+113
 2.75267519e+90
 6.63857015e+184
 Inf
 2.32368017e+199
 5.77905512e+230
 6.09592098e+247
 4.09656135e+161
 2.96870776e+172
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.59817029e+239
 5.19509532e+227
 1.52874296e+152
 1.33623258e+108
 4.83582376e+183
 5.18809896e+235
 Inf
 Inf
 Inf
 Inf
 Inf
 1.90169175e+246
 4.35123340e+159
 3.74229235e+186
 2.09104860e+230
 5.00941637e+200
 1.36556521e+148
 8.15314779e+109
 2.71131195e+108
 6.59229107e+122
 3.89082082e+109
 9.82615921e+113
 1.16413358e+180
 2.24104810e+280
 Inf
 Inf
 Inf
 1.85113463e+235
 6.47363407e+194
 4.98993361e+296
 3.13785051e+119
 1.69849004e+120
 1.31374947e+195
 1.70530589e+193
 9.99953909e+270
 4.40386409e+236
 1.99908292e+207
 1.81214124e+266
 7.19285289e+176
 5.65664101e+123
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 2.50435671e+148
 2.40082547e+109
 5.52195332e+169
 1.15749844e+176
 5.53278777e+119
 9.95677370e+150
 9.82011111e+169
 8.00226946e+223
 1.29803765e+261
 6.08829307e+168
 3.88372991e+134
 4.62291361e+261
 Inf
 Inf
 6.51436022e-06
 Inf
 Inf
 6.51421485e-06
 Inf
 1.55063284e+236
 Inf
 Inf
 7.62168323e+215
 4.46335716e+177
 Inf
 Inf
 1.55500819e+178
 4.96759224e+142
 6.22116638e+234
 3.52255608e+164
 8.17282559e+109
 2.43920371e+151
 3.76869469e+153
 3.03924157e+170
 1.05002667e+169
 2.05903405e+164
 Inf
 6.51425660e-06
 1.70968412e+272
 Inf
 Inf
 1.16369741e+168
 1.01634067e+229
 Inf
 Inf
 2.14164201e+224
 5.02161543e+296
 2.30164420e+290
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.41175721e+269
 Inf
 Inf
 Inf
 Inf
 1.45659846e+256
 7.51391200e+215
 2.89888528e+149
 1.29983544e+177
 1.97911516e+282
 1.42825948e+190
 2.19040263e+250
 Inf
 Inf
 Inf
 2.04218132e+288
 6.46624852e+262
 6.06430792e+244
 3.86129758e+206
 Inf
 Inf
 4.79363619e+274
 5.18732705e+197
 7.47018056e+298
 7.12984902e+293
 9.82761813e+191
 4.05194760e+192
 5.51406854e+208
 1.05615638e+169
 7.13338065e+226
 Inf
 6.51428240e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 1.78981272e+189
 1.59603773e+231
 Inf
 Inf
 4.84758075e+265
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51409746e-06
 6.51477639e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51426568e-06
 6.51464678e-06
 6.51480087e-06
 Inf
 6.51406752e-06
 6.51465184e-06
 6.51490381e-06
 6.51458048e-06
 6.51496577e-06
 6.51525131e-06
 6.51525666e-06
 6.51513136e-06
 6.51495884e-06
 6.51456613e-06
 6.51543109e-06
 6.51550020e-06
 6.51511285e-06
 6.51493006e-06
 Inf
 Inf
 Inf
 Inf
 6.51425643e-06
 6.51471895e-06
 6.51449659e-06
 6.51460838e-06
 6.51479324e-06
 6.51500419e-06
 6.51491371e-06
 6.51464638e-06
 6.51477168e-06
 6.51509077e-06
 6.51549177e-06
 6.51607003e-06
 6.51565629e-06
 6.51546842e-06
 6.51639913e-06
 6.51575277e-06
 6.51526893e-06
 6.51542014e-06
 6.51536780e-06
 6.51528272e-06
 6.51532468e-06
 6.51527393e-06
 6.51545609e-06
 6.51691292e-06
 6.51681095e-06
 6.51603612e-06
 6.49420601e-06
 6.51532544e-06
 6.51500734e-06
 6.51447178e-06
 6.51446720e-06
 6.51473725e-06
 Inf
 Inf
 6.51418956e-06
 6.51491528e-06
 Inf
 Inf
 6.51443483e-06
 Inf
 Inf
 6.51419120e-06
 6.51564070e-06
 6.48748555e-06
 6.51559445e-06
 6.51473281e-06
 6.51499480e-06
 6.51501315e-06
 6.51495036e-06
 6.51493232e-06
 6.51461089e-06
 6.51473396e-06
 6.51505114e-06
 Inf
 6.51429246e-06
 6.51459473e-06
 6.51448104e-06
 Inf
 6.51447352e-06
 6.51453060e-06
 6.51454672e-06
 6.51440860e-06
 6.51461867e-06
 6.51465392e-06
 6.51519521e-06
 Inf
 Inf
 6.51438785e-06
 6.51454906e-06
 Inf
 Inf
 6.51466520e-06
 6.51683928e-06
 6.51651004e-06
 6.51578303e-06
 6.51542408e-06
 6.51517380e-06
 6.51494911e-06
 6.51489606e-06
 6.51531111e-06
 6.51535799e-06
 6.51512340e-06
 Inf
 6.51423498e-06
 6.51443338e-06
 6.51478023e-06
 6.51492496e-06
 6.51489680e-06
 6.51451885e-06
 6.51458303e-06
 6.51523091e-06
 6.51514826e-06
 6.51476365e-06
 6.51481035e-06
 6.51477055e-06
 6.51484331e-06
 6.51505082e-06
 6.51444830e-06
 6.51467560e-06
 6.51513234e-06
 6.50120818e-06
 6.51516967e-06
 6.51529187e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51450894e-06
 Inf
 6.51411403e-06
 6.51458328e-06
 6.51528070e-06
 6.51546086e-06
 6.51536569e-06
 6.51553018e-06
 6.51565539e-06
 6.51576023e-06
 6.51546880e-06
 6.51509314e-06
 6.51500999e-06
 6.51507014e-06
 6.51452289e-06
 6.51451400e-06
 6.51470867e-06
 6.51473780e-06
 6.51564001e-06
 6.51558157e-06
 6.51513429e-06
 6.51593362e-06
 6.51614646e-06
 6.51537213e-06
 6.51472050e-06
 6.51492478e-06
 Inf
 Inf
 Inf
 Inf
 6.51420540e-06
 6.51466764e-06
 6.51484185e-06
 6.51512842e-06
 6.51508466e-06
 6.51494581e-06
 6.51494346e-06
 Inf
 6.51429842e-06
 6.51448650e-06
 6.51488400e-06
 6.51505402e-06
 6.51493550e-06
 Inf
 3.41221487e+264
 5.99304857e+246
 2.70131787e+267
 1.11574332e+268
 7.30069254e+193
 6.05649565e+247
 1.82426195e+266
 9.96436508e+259
 Inf
 Inf
 Inf
 1.78002443e+189
 1.06153836e+200
 5.12371250e+279
 Inf
 3.92190275e+225
 9.77440350e+158
 2.13162788e+214
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.54671823e+202
 Inf
 6.51410736e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.76635673e+221
 Inf
 Inf
 6.76507683e+167
 2.18490617e+130
 Inf
 Inf
 Inf
 Inf
 Inf
 4.78329446e+289
 1.33310503e+204
 7.18575707e+226
 4.94734607e+199
 3.06424509e+170
 1.23087813e+232
 4.80208605e+191
 Inf
 Inf
 Inf
 Inf
 Inf
 2.28113385e+188
 2.32908173e+145
 3.86770596e+134
 1.96050348e+106
 5.48781250e+134
 2.41285813e+147
 Inf
 6.51393346e-06
 6.51473052e-06
 6.51441743e-06
 6.51463584e-06
 Inf
 6.51431922e-06
 6.51441694e-06
 6.51454687e-06
 6.51494136e-06
 6.51512982e-06
 6.51493811e-06
 6.51458944e-06
 6.51511947e-06
 1.35828387e+177
 6.51352731e-06
 6.51556583e-06
 6.51691541e-06
 6.51599897e-06
 6.51521148e-06
 6.51476171e-06
 6.51545041e-06
 6.51550318e-06
 Inf
 7.94349821e+258
 6.36799627e+248
 4.78199425e+265
 6.63634790e+219
 Inf
 6.51409830e-06
 6.51495813e-06
 1.87193743e+222
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51423681e-06
 6.51447316e-06
 Inf
 2.23839274e+250
 2.11814584e+224
 1.35489481e+132
 4.12962396e+115
 1.24596105e+209
 Inf
 1.34015391e+204
 8.32177444e+114
 5.99146708e+130
 2.78337583e+181
 Inf
 Inf
 6.70421310e+219
 Inf
 Inf
 4.88551262e+265
 5.05454741e+296
 2.19319759e+258
 Inf
 Inf
 9.30139105e+282
 7.07334908e+241
 8.21375405e+275
 9.68540601e+295
 2.22349300e+250
 3.79552475e+228
 1.79598691e+174
 7.69096244e+123
 7.50002874e+258
 Inf
 Inf
 Inf
 2.37666121e+241
 3.53066818e+193
 3.06446726e+173
 3.20954854e+169
 6.94591890e+241
 6.51367575e-06
 6.51457965e-06
 2.45528513e+201
 5.14369043e+197
 4.08365761e+283
 1.28889104e+209
 1.81278110e+266
 7.04086593e+221
 8.34769680e+157
 1.34938204e+81
 2.77775661e+54
 3.30345241e+94
 9.77458611e+113
 1.12442126e+94
 5.09936780e+107
 9.77047234e+105
 1.66279213e+114
 7.94027055e+70
 1.22457124e+58
 9.90075371e+83
 6.35200045e+76
 2.93189360e+77
 7.67277313e+105
 7.81942995e+98
 4.36549105e+108
 6.32375454e+109
 2.31949062e+90
 3.22957561e+97
 5.86625602e+101
 3.61394623e+92
 3.13758319e+96
 7.30499534e+118
 8.80135063e+162
 4.47082762e+149
 1.56113362e+133
 1.13585817e+168
 9.49242526e+172
 9.37281575e+115
 9.94392387e+150
 3.22498100e+148
 3.34167060e+117
 7.65481985e+132
 1.07663127e+115
 2.19316168e+142
 6.22033928e+140
 2.14620013e+84
 4.12773521e+83
 5.94644802e+125
 4.38467603e+216
 4.94080052e+199
 4.84601382e+116
 1.87076874e+146
 3.06236591e+109
 4.62578811e+86
 2.26342855e+145
 3.31726502e+121
 5.94173572e+94
 9.77561757e+113
 8.42811866e+130
 1.91859595e+144
 2.46462838e+151
 1.71127382e+165
 9.47840817e+183
 6.51408961e-06
 6.52094082e-06
 6.51701690e-06
 6.51540746e-06
 Inf
 3.80695531e+237
 5.87512298e+174
 2.66033609e+203
 2.69371779e+226
 6.97764093e+266
 2.08469265e+211
 1.93478851e+157
 6.59343696e+167
 3.31705513e+142
 3.57479840e+88
 3.93860475e+99
 1.85465172e+227
 1.16650761e+191
 2.04238934e+128
 1.32875053e+110
 4.47356594e+113
 3.99723925e+161
 8.86875225e+139
 7.95410550e+134
 1.52035056e+145
 2.41422883e+115
 4.36312687e+177
 Inf
 8.44142979e+192
 1.92734295e+117
 1.04485442e+128
 5.82489330e+203
 9.91207609e+169
 1.51758618e+152
 2.63154646e+252
 2.24652838e+180
 2.00578038e+105
 2.52383691e+155
 3.72895289e+228
 7.66840592e+229
 Inf
 Inf
 1.08022535e+200
 2.63130497e+297
 Inf
 Inf
 Inf
 Inf
 6.51414547e-06
 6.51471924e-06
 6.51567835e-06
 6.51615984e-06
 1.39880316e+110
 1.67015510e+100
 6.51288451e-06
 6.51592020e-06
 6.51546981e-06
 Inf
 6.51431535e-06
 6.51482667e-06
 Inf
 3.59626916e+254
 6.48671700e+194
 4.12635542e+255
 7.68189980e+240
 Inf
 Inf
 1.31123527e+144
 2.57921859e+219
 6.51358030e-06
 6.51492630e-06
 Inf
 Inf
 Inf
 6.51432164e-06
 6.51485893e-06
 6.51471875e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 2.07513595e+288
 Inf
 Inf
 1.46547305e+256
 8.23044017e+275
 Inf
 Inf
 Inf
 Inf
 6.51421262e-06
 6.51482093e-06
 Inf
 Inf
 4.40215553e+166
 6.16204597e+243
 6.51371929e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.45133962e+256
 Inf
 Inf
 Inf
 6.46690188e+269
 3.49893449e+168
 2.69910147e+122
 8.73011255e+97
 1.23807950e+125
 3.17197033e+160
 1.06913332e+156
 2.87418802e+149
 1.88259061e+162
 3.23318242e+125
 1.03826310e+169
 Inf
 2.99470303e+204
 1.19093487e+157
 6.32653367e+175
 7.42217821e+215
 Inf
 Inf
 Inf
 Inf
 2.33473710e+241
 7.04030347e+241
 9.66452933e+288
 2.82150096e+229
 2.07606776e+211
 4.75329452e+265
 4.10454877e+268
 1.17179817e+176
 4.42047208e+231
 Inf
 Inf
 Inf
 1.14747547e+291
 Inf
 Inf
 Inf
 Inf
 6.51446244e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 5.31288259e+279
 1.94211237e+227
 Inf
 Inf
 6.51406016e-06
 6.51468080e-06
 6.51473285e-06
 6.51485672e-06
 6.51502337e-06
 Inf
 Inf
 6.51425847e-06
 Inf
 1.02400254e+281
 Inf
 1.27977025e+265
 5.05414899e+296
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51418055e-06
 6.51446706e-06
 6.51475471e-06
 6.51461660e-06
 6.51471052e-06
 Inf
 Inf
 6.51417628e-06
 6.51486910e-06
 Inf
 Inf
 6.51419873e-06
 6.51477075e-06
 6.51466742e-06
 6.51484406e-06
 6.51495083e-06
 6.51518946e-06
 6.51587680e-06
 6.51570854e-06
 6.51553364e-06
 6.51522794e-06
 Inf
 Inf
 Inf
 4.12246104e+299
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51416837e-06
 6.51441264e-06
 6.51467863e-06
 6.51468327e-06
 Inf
 Inf
 Inf
 2.57101618e+240
 6.37787684e+179
 6.48426705e+133
 4.97279015e+185
 4.19077054e+180
 1.21832117e+164
 1.05607984e+200
 1.16222883e+191
 9.91177279e+173
 4.23218746e+120
 1.30908343e+134
 1.76549549e+174
 2.21182504e+167
 1.05687823e+200
 4.61547744e+222
 6.33832544e+234
 5.95238855e+245
 Inf
 Inf
 Inf
 Inf
 Inf
 2.75713060e+267
 1.68695261e+218
 1.40231384e+298
 9.58645808e+152
 5.34512437e+145
 7.32008913e+186
 4.04822585e+192
 2.39144216e+251
 4.64911634e+222
 1.10483015e+217
 1.24232541e+232
 1.19886719e+223
 Inf
 Inf
 7.58333760e+166
 9.69526482e+178
 1.09650284e+217
 2.54226994e+163
 5.66479394e+120
 3.57705203e+124
 1.01414216e+268
 Inf
 9.20920700e+282
 3.19979971e+118
 3.79083611e+59
 2.00915524e+57
 2.61391804e+68
 1.79085652e+58
 4.82053946e+77
 3.52457809e+182
 6.96830585e+241
 2.00784073e+168
 7.75189909e+117
 8.05349648e+121
 1.05873370e+156
 1.66331227e+172
 2.22265814e+180
 4.13671491e+155
 5.46942844e+173
 7.87998372e+180
 1.60296851e+155
 7.72224280e+132
 1.20345890e+103
 1.70896665e+102
 2.81905998e+114
 9.70951115e+169
 Inf
 Inf
 6.05891063e+246
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51424265e-06
 6.51469798e-06
 Inf
 Inf
 2.32927446e+290
 9.99021661e+259
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51443039e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51438976e-06
 6.51449200e-06
 6.51463400e-06
 Inf
 6.41143042e+248
 Inf
 6.51430544e-06
 6.51465259e-06
 Inf
 6.51426834e-06
 6.51459802e-06
 Inf
 2.81305456e+259
 1.47975483e+161
 1.05842331e+199
 2.67236066e+203
 4.33204269e+159
 Inf
 3.26501784e+238
 8.05733162e+134
 2.29558150e+198
 9.73938753e+232
 Inf
 Inf
 6.51406947e-06
 6.51472823e-06
 6.51534499e-06
 6.51568515e-06
 6.51573070e-06
 6.51540738e-06
 6.51515555e-06
 6.51611237e-06
 6.51629822e-06
 6.51544273e-06
 6.51509031e-06
 6.51592195e-06
 6.51614446e-06
 6.51563704e-06
 6.51561528e-06
 6.51610516e-06
 6.51589979e-06
 6.51564779e-06
 6.51566422e-06
 6.51636927e-06
 6.51708674e-06
 6.51666913e-06
 6.51632073e-06
 6.51548077e-06
 Inf
 1.89834646e+295
 Inf
 6.51389521e-06
 6.51452078e-06
 6.51477868e-06
 6.51457122e-06
 6.51478213e-06
 Inf
 6.51423110e-06
 6.51460748e-06
 Inf
 Inf
 Inf
 1.84512866e+216
 8.17866607e+275
 1.56833984e+213
 3.14529130e+157
 1.72222570e+257
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51416535e-06
 Inf
 Inf
 6.51430272e-06
 6.51475045e-06
 6.51479416e-06
 Inf
 6.51423855e-06
 6.51452340e-06
 Inf
 Inf
 6.51414959e-06
 6.51453592e-06
 6.51487920e-06
 Inf
 6.51426997e-06
 6.51457587e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51411502e-06
 6.51447998e-06
 Inf
 Inf
 6.51420994e-06
 6.51447115e-06
 6.51458184e-06
 6.51439550e-06
 Inf
 6.51446942e-06
 6.51445806e-06
 Inf
 1.86070072e+216
 1.10383656e+217
 7.50727831e+205
 1.15210201e+168
 8.28668958e+157
 1.30245483e+177
 5.12186641e+197
 Inf
 3.88457559e+206
 1.01770035e+182
 6.70774343e+217
 8.18100394e+275
 Inf
 Inf
 Inf
 6.51447932e-06
 6.51441266e-06
 6.51517423e-06
 6.51530988e-06
 6.51449914e-06
 6.51455026e-06
 6.51469210e-06
 6.51466517e-06
 6.51475750e-06
 6.51451713e-06
 6.51453855e-06
 6.51474762e-06
 6.51527912e-06
 6.51517052e-06
 6.51472244e-06
 6.51438285e-06
 Inf
 Inf
 6.51417512e-06
 6.51464224e-06
 6.51468807e-06
 6.51482625e-06
 6.51516049e-06
 6.51514873e-06
 6.51503441e-06
 6.51496064e-06
 6.51461667e-06
 6.51456510e-06
 6.51442074e-06
 6.51460100e-06
 6.51469910e-06
 6.51448940e-06
 6.51457495e-06
 6.51478553e-06
 6.51447213e-06
 6.51454513e-06
 Inf
 Inf
 6.51420593e-06
 6.51484097e-06
 Inf
 Inf
 Inf
 1.11052093e+201
 2.76100047e+38
 1.31589298e+16
 1.06043881e+13
 4.49104224e+13
 3.82573457e+14
 4.32755136e+14
 2.49196685e+13
 4.21026232e+12
 8.05478303e+13
 1.29113499e+36
 6.66249603e+233
 9.48501522e+38
 1.74338659e+17
 1.28876346e+14
 1.78986062e+13
 2.15199969e+13
 2.76962296e+13
 9.44271263e+12
 4.12299675e+12
 7.82601981e+12
 3.50139249e+33
 Inf
 6.72447551e+34
 3.99420144e+13
 9.39616007e+10
 1.97891353e+11
 1.29234115e+11
 6.09390386e+10
 1.79347612e+11
 3.97562412e+12
 6.75388357e+11
 1.83775724e+24
 2.69162151e+79
 4.72501980e+33
 3.32714086e+14
 3.95456489e+11
 1.62259307e+08
 6.51788486e+05
 2.26291109e+06
 9.03877500e+05
 1.55303234e+06
 3.40325532e+06
 2.25093909e+08
 1.41980015e+56
 4.94610869e+18
 6.88489916e+06
 2.66297887e+05
 5.88941622e+05
 4.21373478e+05
 2.31281642e+05
 9.34007173e+05
 6.82899577e+05
 1.59675305e+06
 1.92836135e+12
 4.52569628e+39
 1.45621680e+18
 1.16925208e+07
 3.52263254e+05
 8.50750623e+05
 9.54417174e+05
 6.54814483e+05
 5.13097103e+05
 3.54743429e+05
 1.55431927e+06
 5.53195183e+12
 1.01779850e+46
 2.36591966e+22
 3.66286437e+07
 6.41572511e+05
 3.91670447e+05
 1.36220312e+05
 1.68361896e+05
 7.09658731e+05
 2.47291309e+05
 6.14026817e+05
 1.53401241e+08
 1.54036780e+24
 3.16557891e+26
 1.17244100e+08
 7.18756778e+04
 5.08802528e+05
 6.14000941e+04
 4.04904533e+04
 5.99775649e+04
 1.01840180e+05
 1.48167951e+05
 1.59028616e+07
 8.05199671e+24
 7.40867355e+56
 4.77427567e+63
 6.51169967e-06
 7.31260207e+18
 6.14582837e+10
 3.26696290e+52
 2.32046356e+33
 3.39255138e+23
 1.19473805e+108
 1.38586034e+22
 1.29966102e+13
 1.51688580e+20
 9.13088434e+18
 1.87908257e+23
 1.43482586e+28
 7.92937383e+23
 1.12849434e+18
 2.02230909e+20
 1.16095867e+41
 1.78504299e+144
 1.27307936e+29
 9.34563579e+11
 1.60041054e+09
 8.19934474e+06
 2.19960904e+17
 2.77236847e+87
 1.23249071e+21
 1.35028975e+07
 1.28726593e+04
 3.31073272e+11
 1.32985267e+25
 3.06867790e+07
 1.33676732e+04
 1.36023067e+11
 2.66783811e+97
 Inf
 Inf
 6.72072049e+17
 3.17125843e+10
 1.28806964e+46
 2.45720796e+42
 1.55254330e+38
 6.51017654e-06
 4.51228145e+19
 1.26047361e+11
 7.59913209e+19
 2.73516452e+14
 2.60418167e+29
 1.44785581e+50
 7.04012582e+20
 7.83206710e+18
 8.79404604e+27
 9.02485507e+84
 6.51248104e-06
 6.65351189e+33
 8.06350089e+12
 2.12419459e+12
 4.57235579e+10
 2.70209710e+08
 1.92338356e+07
 3.23005912e+06
 5.65835187e+05
 1.51709952e+16
 Inf
 1.37180694e+21
 2.26723862e+05
 9.31291504e+03
 3.26425465e+12
 4.74844179e+20
 1.20328576e+06
 1.21035097e+04
 1.18986216e+12
 4.77662847e+17
 1.51437176e+20
 7.21410713e+270
 1.29603607e+167
 9.00108961e+26
 3.12201742e+27
 1.27752040e+213
 6.01842134e+17
 4.35258222e+10
 3.05707430e+47
 4.27545536e+51
 1.70964551e+18
 2.20318256e+15
 2.07982115e+18
 5.07739682e+22
 2.73959763e+53
 1.64447079e+39
 1.83598638e+17
 1.70230817e+20
 3.14876729e+22
 8.74176471e+21
 1.36694435e+22
 8.99967721e+21
 1.82960250e+21
 4.19199206e+21
 9.34884581e+20
 7.74741218e+21
 3.67200245e+24
 5.45922545e+22
 6.22773197e+21
 1.14511574e+23
 1.28293654e+23
 2.84728222e+23
 3.80910533e+22
 1.14647553e+23
 1.13550144e+27
 5.52074505e+217
 6.52923723e-06
 4.77687943e+66
 2.73219232e+12
 3.16716593e+38
 6.51447330e-06
 6.47103229e-06
 6.51749983e-06
 6.51707612e-06
 6.51853495e-06
 6.51905071e-06
 6.51878264e-06
 6.51700926e-06
 6.51586084e-06
 6.51617749e-06
 6.51700960e-06
 6.51705595e-06
 6.51641388e-06
 6.51596740e-06
 6.51591157e-06
 6.51560119e-06
 6.51522340e-06
 6.51520886e-06
 6.51519512e-06
 6.51499799e-06
 Inf
 Inf
 Inf
 6.51420357e-06
 6.51457041e-06
 6.51489872e-06
 6.51477171e-06
 6.51445414e-06
 6.51582624e-06
 6.51662700e-06
 6.51675291e-06
 6.51719818e-06
 6.51776811e-06
 6.51861383e-06
 6.51974548e-06
 6.51862600e-06
 6.51896402e-06
 6.52008414e-06
 6.51901237e-06
 6.51839325e-06
 6.51763608e-06
 6.51706281e-06
 6.51660375e-06
 6.51654460e-06
 6.51632602e-06
 6.51591398e-06
 6.51770025e-06
 6.51910289e-06
 6.51767632e-06
 6.51672686e-06
 6.51710942e-06
 6.51725272e-06
 6.51726033e-06
 6.51693268e-06
 6.51625756e-06
 6.51613647e-06
 6.51647575e-06
 6.51797334e-06
 6.51868619e-06
 6.51816630e-06
 6.51878379e-06
 6.51804453e-06
 6.51725382e-06
 6.51746821e-06
 6.51662929e-06
 6.51642884e-06
 6.51800523e-06
 6.51921853e-06
 6.51850895e-06
 6.51676790e-06
 6.51567715e-06
 6.51518319e-06
 6.51506083e-06
 6.51506153e-06
 6.51493346e-06
 6.51492352e-06
 6.51454254e-06
 6.51451655e-06
 6.51492679e-06
 6.51498392e-06
 6.51539727e-06
 6.51525481e-06
 6.51553488e-06
 6.51593585e-06
 6.51566595e-06
 6.51648254e-06
 6.51817394e-06
 6.51829256e-06
 6.51820794e-06
 6.51726038e-06
 6.51689473e-06
 6.51751138e-06
 6.51694466e-06
 6.51652203e-06
 6.51594258e-06
 6.51570129e-06
 6.51686667e-06
 6.51911974e-06
 6.52054829e-06
 6.51871561e-06
 6.51696724e-06
 6.51711880e-06
 6.51870726e-06
 6.51892078e-06
 6.51800131e-06
 6.48428788e-06
 6.51797119e-06
 6.51852397e-06
 6.51899852e-06
 6.51944605e-06
 6.51971993e-06
 6.51925899e-06
 6.51988542e-06
 6.51981263e-06
 6.51987054e-06
 6.52045759e-06
 6.51903863e-06
 6.51921915e-06
 6.52030546e-06
 6.51932780e-06
 6.51829855e-06
 6.51774682e-06
 6.51630616e-06
 6.51531433e-06
 6.51518291e-06
 6.51633715e-06
 6.51604563e-06
 6.51571410e-06
 6.51593772e-06
 6.51583825e-06
 6.51552203e-06
 6.51541672e-06
 6.51652461e-06
 6.51823893e-06
 6.51808700e-06
 6.51703223e-06
 6.51599060e-06
 6.51622201e-06
 6.51808717e-06
 6.51875782e-06
 6.51906618e-06
 6.51949630e-06
 6.52122560e-06
 6.52138271e-06
 6.52054966e-06
 6.52067595e-06
 6.51967454e-06
 6.51852932e-06
 6.51915992e-06
 6.51966108e-06
 6.51904514e-06
 6.51901135e-06
 6.51871767e-06
 6.51946931e-06
 6.51964410e-06
 6.51874395e-06
 6.51925944e-06
 6.51972699e-06
 6.51929205e-06
 6.51758946e-06
 6.51711499e-06
 6.51760520e-06
 6.51740712e-06
 6.51687957e-06
 6.51657866e-06
 6.51723914e-06
 6.51608391e-06
 6.51534167e-06
 6.51643967e-06
 6.51717483e-06
 6.51800383e-06
 6.52184496e-06
 6.52240927e-06
 6.51866686e-06
 6.51709304e-06
 6.51613531e-06
 6.51573977e-06
 6.51561441e-06
 6.51527543e-06
 6.51493072e-06
 6.51479829e-06
 6.51493425e-06
 Inf
 Inf
 6.51439175e-06
 6.51442151e-06
 6.51475408e-06
 Inf
 Inf
 6.51412319e-06
 6.51464007e-06
 6.51468444e-06
 6.51476796e-06
 6.51482934e-06
 6.51507923e-06
 6.51505767e-06
 6.51511131e-06
 6.51615146e-06
 6.51846732e-06
 6.51993948e-06
 6.52052741e-06
 6.51981160e-06
 6.51903073e-06
 6.51883452e-06
 6.52000427e-06
 6.52048449e-06
 6.51899446e-06
 6.51866554e-06
 6.51900787e-06
 6.51969111e-06
 6.52105020e-06
 6.52097653e-06
 6.52052597e-06
 6.52033348e-06
 6.52142621e-06
 6.52316584e-06
 6.52067619e-06
 6.52039685e-06
 6.52223662e-06
 6.52042644e-06
 6.51954433e-06
 6.51978716e-06
 6.51973803e-06
 6.51989820e-06
 6.51845420e-06
 6.51788171e-06
 6.51772771e-06
 6.51735952e-06
 6.51829218e-06
 6.51848618e-06
 6.51833394e-06
 6.51876133e-06
 6.51725220e-06
 6.51592900e-06
 6.51537171e-06
 6.51509444e-06
 6.51480772e-06
 6.51475973e-06
 6.51502436e-06
 6.51561163e-06
 6.51539482e-06
 6.51496450e-06
 6.51464514e-06
 6.51497901e-06
 6.51555118e-06
 6.51673831e-06
 6.51715819e-06
 6.51739417e-06
 6.51920276e-06
 6.52078449e-06
 6.51864859e-06
 6.51961169e-06
 6.51974537e-06
 6.51762491e-06
 6.51740765e-06
 6.51771098e-06
 6.51849003e-06
 6.52007385e-06
 6.52118953e-06
 6.52044588e-06
 6.52126175e-06
 6.52444284e-06
 6.52247831e-06
 6.51919908e-06
 6.51884982e-06
 6.51710034e-06
 6.51658570e-06
 6.51724111e-06
 6.51745237e-06
 6.51851371e-06
 6.51913594e-06
 6.52049164e-06
 6.52102272e-06
 6.52177094e-06
 6.52037917e-06
 6.51805657e-06
 6.51712468e-06
 6.51702685e-06
 6.51783555e-06
 6.51838318e-06
 6.48036006e-06
 6.51883340e-06
 6.51868490e-06
 6.51864417e-06
 6.52081907e-06
 6.52258579e-06
 6.52136515e-06
 6.51924714e-06
 6.51797713e-06
 6.51723430e-06
 6.51703543e-06
 6.51652243e-06
 6.51561534e-06
 6.51538587e-06
 6.51528586e-06
 6.51490662e-06
 6.51499509e-06
 6.51705900e-06
 6.51951291e-06
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 6.51771924e-06
 6.51760258e-06
 6.51805133e-06
 6.51958015e-06
 6.52193822e-06
 6.52182757e-06
 6.52099851e-06
 6.52098911e-06
 6.52013758e-06
 6.51860655e-06
 6.51748203e-06
 6.51779338e-06
 6.51792507e-06
 6.51675491e-06
 6.51567355e-06
 Inf
 6.51438337e-06
 6.51682588e-06
 6.51652964e-06
 6.51547828e-06
 6.51493463e-06
 6.51516744e-06
 6.51525714e-06
 6.51571918e-06
 6.51614594e-06
 6.51628314e-06
 6.51580989e-06
 6.51532855e-06
 6.51578735e-06
 6.51672996e-06
 6.51587879e-06
 6.51517025e-06
 6.51522609e-06
 6.51522983e-06
 6.51491154e-06
 6.51479293e-06
 6.51490044e-06
 6.51492971e-06
 6.51502741e-06
 6.51501156e-06
 6.51470988e-06
 6.51490194e-06
 6.51515647e-06
 6.51512894e-06
 6.51536740e-06
 6.51518330e-06
 6.51477558e-06
 6.51459300e-06
 6.51485262e-06
 6.51471108e-06
 6.51455617e-06
 Inf
 Inf
 Inf
 6.51419120e-06
 6.51459600e-06
 6.51469884e-06
 6.51486740e-06
 6.51494165e-06
 6.51476943e-06
 6.51555589e-06
 6.51681633e-06
 6.51587433e-06
 6.51532125e-06
 6.51631890e-06
 6.51601668e-06
 6.51547214e-06
 6.51576127e-06
 6.51658224e-06
 6.51584084e-06
 6.51516886e-06
 6.51497659e-06
 6.51490009e-06
 6.51460472e-06
 6.51521193e-06
 6.51626953e-06
 6.51669182e-06
 6.51677664e-06
 6.51665376e-06
 6.51636093e-06
 6.51577449e-06
 6.51519651e-06
 6.51486155e-06
 6.51527796e-06
 6.51525190e-06
 6.51526340e-06
 6.51568772e-06
 6.51530410e-06
 6.51475783e-06
 6.51530024e-06
 6.51561963e-06
 6.51664154e-06
 6.51785372e-06
 6.51673151e-06
 6.51623085e-06
 6.51592404e-06
 6.51534322e-06
 6.51524126e-06
 6.51549338e-06
 6.51519765e-06
 Inf
 Inf
 Inf
 Inf
 6.40092576e+277
 2.63993574e+219
 Inf
 Inf
 6.51441432e-06
 6.51439994e-06
 6.51455770e-06
 6.51464103e-06
 6.51466758e-06
 6.51442189e-06
 6.51470221e-06
 6.51486211e-06
 6.51510649e-06
 6.51506420e-06
 6.51480497e-06
 6.51520719e-06
 6.51524501e-06
 6.51499212e-06
 6.51497914e-06
 6.51501296e-06
 6.51467703e-06
 6.51455302e-06
 6.51525944e-06
 6.51519238e-06
 6.51522789e-06
 6.51552538e-06
 6.51545303e-06
 6.51593833e-06
 6.51618200e-06
 6.51611882e-06
 6.51548040e-06
 6.51503834e-06
 6.51447495e-06
 6.51516800e-06
 6.51536001e-06
 6.51527885e-06
 6.51530763e-06
 6.51559612e-06
 6.51575897e-06
 6.51536357e-06
 6.51497704e-06
 6.51544773e-06
 6.51580585e-06
 6.51553587e-06
 6.51668044e-06
 6.51763126e-06
 6.51672537e-06
 6.51625722e-06
 6.51588289e-06
 6.51562147e-06
 6.51601009e-06
 6.51582087e-06
 6.51522551e-06
 6.51474899e-06
 6.51478706e-06
 6.51468818e-06
 6.51459647e-06
 6.51445745e-06
 6.51476470e-06
 6.51492125e-06
 6.51452336e-06
 6.51515686e-06
 6.51555990e-06
 6.51547191e-06
 6.51637797e-06
 6.51585384e-06
 6.51523445e-06
 6.51527030e-06
 6.51534174e-06
 6.51540841e-06
 6.51536397e-06
 6.51518804e-06
 6.51529536e-06
 6.51556718e-06
 6.51546971e-06
 6.51511700e-06
 6.51477074e-06
 6.51564252e-06
 6.51605183e-06
 6.51582709e-06
 6.51534965e-06
 6.51492605e-06
 6.51490179e-06
 6.51517873e-06
 6.51519415e-06
 6.51511771e-06
 6.51494509e-06
 Inf
 Inf
 6.51402948e-06
 6.51500641e-06
 6.51502062e-06
 6.51481056e-06
 6.51511228e-06
 6.51564832e-06
 6.51575708e-06
 6.51529202e-06
 6.51489185e-06
 6.51484589e-06
 6.51506506e-06
 6.51540497e-06
 6.51552579e-06
 6.51617591e-06
 6.51596390e-06
 6.51534753e-06
 6.51494944e-06
 6.51487087e-06
 6.51454233e-06
 6.51447705e-06
 Inf
 6.51432552e-06
 6.51444497e-06
 Inf
 Inf
 6.51417024e-06
 6.51457042e-06
 6.51506610e-06
 6.51535557e-06
 6.51507348e-06
 6.51538881e-06
 6.51701066e-06
 6.51601984e-06
 6.51513619e-06
 6.51476833e-06
 6.51511386e-06
 6.51512045e-06
 Inf
 6.51429252e-06
 6.51478255e-06
 6.51492774e-06
 6.51438835e-06
 6.51469387e-06
 6.51501778e-06
 6.51510134e-06
 6.51520685e-06
 6.51503946e-06
 6.51484010e-06
 6.51486798e-06
 6.51472782e-06
 6.51481571e-06
 6.51484034e-06
 Inf
 6.51429300e-06
 6.51469618e-06
 6.51486463e-06
 6.51461847e-06
 6.51488704e-06
 6.51514127e-06
 6.51534534e-06
 6.51536804e-06
 6.51568390e-06
 6.51612211e-06
 6.51596467e-06
 6.51602346e-06
 6.51601139e-06
 6.51604964e-06
 6.51668708e-06
 6.51645358e-06
 6.51593710e-06
 6.51543323e-06
 6.51504035e-06
 6.51480429e-06
 Inf
 Inf
 6.51415011e-06
 6.51475840e-06
 6.51471154e-06
 6.51456210e-06
 6.51505073e-06
 6.51493000e-06
 6.51459164e-06
 6.51495321e-06
 6.51500203e-06
 6.51514550e-06
 6.51512010e-06
 6.51505804e-06
 6.51617611e-06
 6.51636289e-06
 6.51575723e-06
 6.51518696e-06
 6.51477530e-06
 6.51479800e-06
 6.51487138e-06
 6.51473263e-06
 6.51505386e-06
 6.51500632e-06
 6.51476483e-06
 6.51478696e-06
 6.51460473e-06
 6.51465701e-06
 6.51474103e-06
 6.51471733e-06
 6.51499755e-06
 6.51490490e-06
 Inf
 Inf
 Inf
 6.51418894e-06
 Inf
 Inf
 6.51438741e-06
 6.51447610e-06
 6.51461115e-06
 6.51481571e-06
 6.51445880e-06
 6.51467642e-06
 Inf
 Inf
 6.51395543e-06
 6.51467836e-06
 Inf
 6.51407971e-06
 6.51462253e-06
 6.51515460e-06
 Inf
 Inf
 Inf
 6.51419929e-06
 6.51454632e-06
 Inf
 Inf
 6.46183308e+234
 1.90394408e+247
 Inf
 6.75661241e+272
 1.16372265e+212
 2.68613680e+267
 Inf
 Inf
 3.73664715e+294
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51421438e-06
 Inf
 Inf
 6.51419740e-06
 6.51467493e-06
 6.51477580e-06
 Inf
 6.51421832e-06
 6.51473689e-06
 6.51495990e-06
 6.51470600e-06
 6.51460445e-06
 Inf
 Inf
 6.51420318e-06
 6.51467049e-06
 6.51466280e-06
 Inf
 Inf
 6.51441790e-06
 Inf
 6.51409884e-06
 6.51437852e-06
 Inf
 Inf
 Inf
 Inf
 6.51434735e-06
 6.51470960e-06
 6.51497160e-06
 6.51492634e-06
 6.51454205e-06
 6.51468055e-06
 6.51483608e-06
 6.51474383e-06
 6.51462104e-06
 6.51470016e-06
 6.52242971e-06
 6.53067723e-06
 6.52078019e-06
 6.51620792e-06
 Inf
 Inf
 6.51431608e-06
 Inf
 Inf
 Inf
 1.10673553e+201
 4.20894771e+220
 Inf
 Inf
 6.51406995e-06
 6.51456665e-06
 Inf
 Inf
 6.51444576e-06
 6.51442248e-06
 6.51470110e-06
 6.51493391e-06
 6.51504926e-06
 6.51473672e-06
 6.51436758e-06
 Inf
 Inf
 6.51434274e-06
 6.51445635e-06
 6.51475170e-06
 6.51438140e-06
 6.51457116e-06
 Inf
 Inf
 Inf
 Inf
 6.51424946e-06
 Inf
 Inf
 Inf
 6.51402116e-06
 6.51458194e-06
 Inf
 Inf
 6.51442582e-06
 6.51441981e-06
 6.51480025e-06
 6.51482057e-06
 Inf
 Inf
 Inf
 Inf
 6.51423435e-06
 6.51450898e-06
 6.51459615e-06
 6.51438825e-06
 6.51463183e-06
 Inf
 Inf
 6.51430152e-06
 Inf
 Inf
 Inf
 Inf
 2.05149949e+282
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51405987e-06
 Inf
 Inf
 6.51426306e-06
 6.51455581e-06
 6.51470141e-06
 Inf
 6.51427952e-06
 6.51443892e-06
 6.51493837e-06
 Inf
 6.51424274e-06
 6.51451413e-06
 6.51446520e-06
 6.51451305e-06
 6.51471953e-06
 6.51446428e-06
 Inf
 Inf
 Inf
 6.51442386e-06
 Inf
 6.51450048e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51441515e-06
 6.51452041e-06
 Inf
 Inf
 6.51429860e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.38349937e+171
 5.91863355e+158
 6.81813821e+209
 1.49962389e+194
 1.42850554e+256
 Inf
 2.97273714e+165
 7.99320879e+223
 Inf
 Inf
 1.64775848e+269
 Inf
 6.51405423e-06
 6.51436066e-06
 6.51483603e-06
 6.51461723e-06
 6.51480708e-06
 Inf
 Inf
 6.51436486e-06
 6.51458310e-06
 Inf
 Inf
 6.51441682e-06
 6.51437775e-06
 6.51476017e-06
 6.51497928e-06
 6.51483572e-06
 6.51452874e-06
 6.51483177e-06
 6.51483071e-06
 6.51476129e-06
 6.51458958e-06
 6.51473213e-06
 Inf
 Inf
 6.51424807e-06
 6.51475081e-06
 6.51467537e-06
 6.51474169e-06
 6.51479066e-06
 6.51479446e-06
 Inf
 Inf
 Inf
 6.51416794e-06
 6.51452204e-06
 6.51562596e-06
 6.51642593e-06
 6.51705331e-06
 6.51794268e-06
 6.51874297e-06
 6.51778948e-06
 6.51734736e-06
 6.51857917e-06
 6.52350976e-06
 6.52487750e-06
 6.51783596e-06
 Inf
 Inf
 Inf
 8.20951792e+251
 2.76990632e+259
 Inf
 1.08482096e+221
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51413783e-06
 6.51458668e-06
 6.51474192e-06
 6.51457990e-06
 6.51441801e-06
 6.51471194e-06
 6.51522584e-06
 6.51639525e-06
 6.51639221e-06
 6.51687269e-06
 6.51730848e-06
 6.51675071e-06
 6.51605649e-06
 6.51570780e-06
 6.51683529e-06
 6.51751392e-06
 6.51786313e-06
 6.51777560e-06
 6.51724914e-06
 6.51848797e-06
 6.51856607e-06
 6.51780325e-06
 6.51782030e-06
 6.51837309e-06
 6.51875723e-06
 6.51745530e-06
 6.51644240e-06
 6.51627134e-06
 6.51640347e-06
 6.51641169e-06
 6.51596563e-06
 6.51588002e-06
 6.51633366e-06
 6.51722533e-06
 6.51810116e-06
 6.51651244e-06
 6.51599318e-06
 6.51782706e-06
 6.51740853e-06
 6.51701617e-06
 6.51779263e-06
 6.51709932e-06
 6.51713045e-06
 6.51780209e-06
 6.51770582e-06
 6.51766461e-06
 6.51902037e-06
 6.51705091e-06
 6.51560483e-06
 6.51445291e-06
 6.51471516e-06
 6.51457987e-06
 6.51459416e-06
 Inf
 Inf
 Inf
 6.51418331e-06
 6.51471152e-06
 6.51444790e-06
 6.51497548e-06
 6.51498645e-06
 6.51486518e-06
 6.51496403e-06
 6.51506505e-06
 6.51491796e-06
 6.51472425e-06
 6.51543670e-06
 6.51548592e-06
 6.51516342e-06
 6.51491554e-06
 6.51526849e-06
 6.51529922e-06
 6.51515580e-06
 6.51510566e-06
 6.51501471e-06
 6.51506323e-06
 6.51543792e-06
 6.51617518e-06
 6.51587785e-06
 6.51573650e-06
 6.51542373e-06
 6.51503333e-06
 6.51461517e-06
 6.51527039e-06
 6.51547343e-06
 6.51519825e-06
 6.51490140e-06
 6.51463771e-06
 6.51481451e-06
 6.51489736e-06
 6.51563806e-06
 6.51565307e-06
 6.51517788e-06
 6.51491112e-06
 6.51449292e-06
 6.51471375e-06
 6.51510295e-06
 6.51586474e-06
 6.51595857e-06
 6.51561832e-06
 6.51566472e-06
 6.51537733e-06
 6.51523779e-06
 6.51563474e-06
 6.51583015e-06
 6.51550064e-06
 6.51506261e-06
 6.51497350e-06
 6.51535282e-06
 6.51540440e-06
 6.51530850e-06
 6.51504251e-06
 6.51484539e-06
 6.51493478e-06
 6.51485930e-06
 6.51488929e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 2.39358367e+201
 Inf
 Inf
 6.51437043e-06
 6.51499362e-06
 Inf
 Inf
 Inf
 Inf
 6.51423855e-06
 6.51469684e-06
 6.51474113e-06
 6.51447737e-06
 Inf
 6.51444678e-06
 6.51456536e-06
 6.51512443e-06
 Inf
 Inf
 Inf
 9.14835658e+286
 Inf
 Inf
 Inf
 5.27682371e+201
 2.67362468e+203
 Inf
 6.51417938e-06
 6.51466796e-06
 6.51483268e-06
 6.51436509e-06
 6.51465725e-06
 Inf
 9.96491476e+295
 5.57563603e+224
 Inf
 Inf
 Inf
 6.51403148e-06
 6.51448720e-06
 Inf
 6.51447643e-06
 6.51445907e-06
 Inf
 Inf
 Inf
 Inf
 2.76867143e+278
 Inf
 Inf
 4.81589480e+261
 Inf
 Inf
 6.01225057e+158
 1.69720533e+173
 4.40829001e+281
 Inf
 6.51428046e-06
 Inf
 Inf
 6.51420483e-06
 Inf
 Inf
 5.24676050e+227
 4.73988284e+261
 1.12696716e+291
 8.07001262e+251
 1.82336767e+235
 6.66867115e+167
 7.99797795e+223
 Inf
 Inf
 Inf
 Inf
 6.51430770e-06
 6.51464246e-06
 6.51468884e-06
 Inf
 6.51444313e-06
 Inf
 1.13721753e+217
 6.02646708e+244
 6.51363607e-06
 6.51523627e-06
 Inf
 Inf
 6.51392095e-06
 6.51460916e-06
 Inf
 6.51411593e-06
 6.51445121e-06
 6.51489994e-06
 6.51503806e-06
 6.51489665e-06
 6.51491002e-06
 6.51468418e-06
 6.51449628e-06
 6.51489981e-06
 6.51471535e-06
 6.51459328e-06
 6.51477660e-06
 6.51489392e-06
 6.51469881e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51424928e-06
 6.51449621e-06
 6.51458577e-06
 Inf
 Inf
 Inf
 6.51438374e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51447222e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51406236e-06
 6.51444485e-06
 6.51482719e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.64681622e+219
 2.73614821e+221
 Inf
 6.51384322e-06
 6.51472875e-06
 6.51494065e-06
 6.51495416e-06
 6.51572425e-06
 6.51708054e-06
 6.51877101e-06
 6.51956602e-06
 6.51897601e-06
 6.51861143e-06
 6.51820143e-06
 6.51764617e-06
 6.51793921e-06
 6.51875391e-06
 6.51803399e-06
 6.51799633e-06
 6.52110135e-06
 6.52378471e-06
 6.51960028e-06
 6.51635722e-06
 6.51520941e-06
 6.51494654e-06
 6.51458460e-06
 6.51506557e-06
 6.51526867e-06
 6.51505747e-06
 Inf
 6.51436698e-06
 6.51445127e-06
 6.51469299e-06
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 6.51504471e-06
 6.51496829e-06
 6.51487070e-06
 6.51472716e-06
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 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51433529e-06
 6.51441412e-06
 6.51492739e-06
 Inf
 6.51429937e-06
 6.51466900e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.42954017e+263
 Inf
 6.51430770e-06
 Inf
 Inf
 Inf
 6.51426191e-06
 6.51476157e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51434727e-06
 Inf
 6.51445153e-06
 6.51448293e-06
 6.51498647e-06
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 6.51502592e-06
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 6.51521928e-06
 6.51516063e-06
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 Inf
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 6.51433684e-06
 6.51436281e-06
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 6.51567869e-06
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 Inf
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 6.51420678e-06
 6.51481270e-06
 6.51480642e-06
 6.51449050e-06
 Inf
 Inf
 6.51451138e-06
 6.51511690e-06
 6.51488606e-06
 6.51481876e-06
 6.51527120e-06
 6.51501453e-06
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 Inf
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 6.51430166e-06
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 Inf
 Inf
 Inf
 Inf
 Inf
 6.51422232e-06
 6.51491186e-06
 6.51507994e-06
 6.51472532e-06
 6.51487575e-06
 6.51505997e-06
 6.51480024e-06
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 Inf
 Inf
 6.51433956e-06
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 Inf
 Inf
 6.51395480e-06
 6.51438896e-06
 6.51479415e-06
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 6.51460609e-06
 6.51466510e-06
 6.51471134e-06
 6.51451308e-06
 6.51468113e-06
 6.51456408e-06
 6.51446916e-06
 Inf
 6.51439069e-06
 6.51460107e-06
 6.51448928e-06
 6.51445021e-06
 6.51472648e-06
 6.51477768e-06
 6.51458174e-06
 6.51530459e-06
 6.51526830e-06
 6.51488204e-06
 6.51505855e-06
 Inf
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 6.51407701e-06
 6.51492911e-06
 Inf
 Inf
 6.51405747e-06
 6.51475187e-06
 6.51486641e-06
 6.51464734e-06
 6.51474759e-06
 Inf
 Inf
 6.51425178e-06
 6.51719661e-06
 6.51724489e-06
 6.51610131e-06
 6.51529328e-06
 Inf
 Inf
 6.51426186e-06
 6.51451764e-06
 6.51456952e-06
 Inf
 Inf
 6.51423696e-06
 6.51469387e-06
 Inf
 Inf
 6.51431953e-06
 6.51450263e-06
 Inf
 Inf
 6.51417490e-06
 6.51465614e-06
 6.51516505e-06
 6.51495738e-06
 6.51475311e-06
 Inf
 6.51431894e-06
 6.51498702e-06
 Inf
 Inf
 6.51422558e-06
 6.51450325e-06
 6.51459715e-06
 6.51481814e-06
 Inf
 Inf
 6.51402137e-06
 6.51462249e-06
 6.51519692e-06
 6.51498793e-06
 6.51491047e-06
 6.51450262e-06
 6.51443165e-06
 6.51455137e-06
 6.51480944e-06
 Inf
 Inf
 3.53245303e+232
 Inf
 6.51422557e-06
 6.51477850e-06
 6.51455604e-06
 6.51450572e-06
 6.51463672e-06
 Inf
 Inf
 6.51432574e-06
 Inf
 6.51430255e-06
 Inf
 Inf
 6.51393324e-06
 6.51458875e-06
 Inf
 Inf
 Inf
 6.51439979e-06
 Inf
 Inf
 Inf
 Inf
 7.69627020e+298
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51427589e-06
 6.51492918e-06
 Inf
 Inf
 Inf
 6.51428136e-06
 Inf
 6.51443827e-06
 Inf
 1.92653293e+245
 Inf
 6.51420583e-06
 6.51471112e-06
 Inf
 Inf
 Inf
 Inf
 6.51449914e-06
 Inf
 Inf
 2.81457332e+259
 1.10146242e+198
 Inf
 Inf
 Inf
 Inf
 Inf
 9.11444408e+263
 1.53305206e+178
 1.54724931e+213
 2.72656120e+273
 Inf
 6.51383420e-06
 6.51450779e-06
 6.51475870e-06
 6.51476503e-06
 Inf
 Inf
 6.51438835e-06
 6.51456539e-06
 Inf
 Inf
 Inf
 Inf
 6.51441283e-06
 Inf
 6.51437279e-06
 6.51455407e-06
 6.51456645e-06
 6.51472140e-06
 6.51474443e-06
 6.51472340e-06
 Inf
 Inf
 6.51444249e-06
 6.51471118e-06
 6.51563229e-06
 6.51533922e-06
 6.51473091e-06
 Inf
 Inf
 6.51433655e-06
 6.51464168e-06
 6.51449904e-06
 6.51465904e-06
 6.51480197e-06
 6.51465984e-06
 6.51466514e-06
 6.51458808e-06
 6.51438114e-06
 6.51479881e-06
 6.51516687e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.77619377e+189
 1.08245673e+201
 3.54235823e+145
 2.90845957e+204
 Inf
 1.45553060e+256
 2.18357078e+258
 2.98086841e+209
 7.49901619e+205
 5.85704483e+195
 1.41464621e+190
 5.92123867e+203
 7.40562707e+186
 Inf
 Inf
 5.05951487e+256
 Inf
 2.44258550e+251
 1.82515821e+266
 Inf
 Inf
 Inf
 6.51426306e-06
 Inf
 4.50264222e+144
 9.93521579e+141
 6.06372720e+125
 2.89210169e+144
 2.06748535e+230
 1.12735439e+274
 7.46191161e+186
 1.01148097e+165
 2.34751498e+263
 4.48225942e+231
 3.78658792e+228
 8.99817374e+252
 3.25180949e+174
 3.52977846e+145
 1.27409336e+167
 6.34006518e+175
 2.88414824e+149
 1.98380181e+243
 1.48544031e+205
 4.02106685e+99
 2.32267397e+125
 8.61993690e+263
 4.04548531e+285
 5.57675297e+208
 3.51649446e+193
 9.73036885e+232
 7.16326756e+159
 1.56399121e+133
 1.18860689e+149
 1.30608113e+138
 4.91778469e+200
 Inf
 2.76477984e+273
 1.89331819e+286
 Inf
 Inf
 Inf
 Inf
 Inf
 2.86794857e+239
 2.76496530e+233
 Inf
 1.19887704e+279
 2.97139135e+204
 8.81351234e+286
 1.95013753e+244
 1.64300203e+272
 4.22533186e+287
 2.69745826e+252
 2.34607197e+198
 6.99163723e+241
 1.00415207e+281
 1.90271151e+245
 1.40169943e+228
 7.06333194e+182
 4.13414161e+126
 8.97340403e+122
 Inf
 Inf
 9.59763320e+136
 5.53723895e+134
 1.43510677e+187
 1.49121560e+181
 2.63999823e+150
 9.33353832e+171
 7.63795605e+258
 6.06159821e+244
 5.87924139e+174
 1.41686978e+115
 3.89359895e+128
 Inf
 1.26840599e+265
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.89796124e+230
 1.13612105e+202
 Inf
 1.05646482e+268
 2.23342351e+234
 9.79163356e+178
 2.79512489e+156
 9.34658420e+171
 4.94469095e+256
 9.95265568e+259
 7.30002842e+250
 Inf
 Inf
 Inf
 Inf
 3.17354765e+157
 1.08182067e+127
 5.21793874e+171
 1.59454579e+210
 7.70428993e+258
 5.70696200e+187
 6.98002900e+149
 Inf
 Inf
 Inf
 6.51420231e-06
 Inf
 9.66476685e+170
 5.36239469e+145
 1.02265551e+118
 3.81876335e+176
 5.22104156e+178
 5.45447314e+132
 3.62535356e+122
 1.47308956e+142
 3.03067028e+170
 Inf
 Inf
 1.03099657e+271
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51432504e-06
 6.51476786e-06
 6.51480841e-06
 6.51610165e-06
 6.51563351e-06
 6.51451215e-06
 6.51444414e-06
 6.51470106e-06
 Inf
 Inf
 Inf
 Inf
 6.51435053e-06
 Inf
 Inf
 6.51429569e-06
 Inf
 Inf
 Inf
 Inf
 6.51429097e-06
 6.51447257e-06
 6.51484832e-06
 Inf
 Inf
 6.51423365e-06
 6.51466829e-06
 6.51479412e-06
 6.51462388e-06
 6.51461650e-06
 Inf
 9.07083788e+286
 1.05372221e+268
 Inf
 6.51418661e-06
 Inf
 Inf
 6.51422363e-06
 6.51493687e-06
 Inf
 Inf
 5.08161698e+198
 3.55951714e+260
 Inf
 Inf
 Inf
 2.00697641e+275
 2.55710108e+240
 1.67099532e+220
 1.60828509e+210
 Inf
 6.51403021e-06
 6.51454416e-06
 6.51473639e-06
 Inf
 Inf
 6.51420206e-06
 6.51463724e-06
 6.51462340e-06
 6.51462596e-06
 6.51471515e-06
 6.51446785e-06
 6.51461598e-06
 6.51470517e-06
 Inf
 Inf
 Inf
 Inf
 6.51419529e-06
 6.51454339e-06
 Inf
 6.51436685e-06
 6.51453327e-06
 6.51483575e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51433402e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.05807395e+254
 1.57978259e+133
 8.44899368e+143
 5.78591289e+174
 1.00950221e+165
 4.93490747e+256
 Inf
 Inf
 Inf
 Inf
 1.41912145e+228
 1.02801494e+229
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51433063e-06
 6.51465649e-06
 6.51453487e-06
 6.51466014e-06
 6.51464739e-06
 6.51485520e-06
 6.51521666e-06
 6.51499673e-06
 6.51475250e-06
 6.51457186e-06
 6.51457105e-06
 Inf
 Inf
 Inf
 1.35282989e+185
 Inf
 Inf
 6.51440871e-06
 6.51435083e-06
 6.51472596e-06
 Inf
 Inf
 Inf
 6.51437859e-06
 Inf
 1.73861782e+173
 1.73027101e+257
 6.51378537e-06
 6.51450912e-06
 Inf
 4.57795034e+216
 1.99389933e+207
 8.16438411e+275
 Inf
 Inf
 6.51412834e-06
 6.51455020e-06
 6.51485955e-06
 6.51468501e-06
 6.51447952e-06
 6.51458880e-06
 Inf
 6.51436625e-06
 6.51493679e-06
 6.51500748e-06
 Inf
 Inf
 Inf
 6.51435417e-06
 6.51464244e-06
 6.51482890e-06
 6.51458325e-06
 6.51447051e-06
 6.51496240e-06
 6.51502978e-06
 Inf
 6.51441517e-06
 Inf
 6.51430263e-06
 6.51589504e-06
 6.51608197e-06
 6.51531102e-06
 6.51467874e-06
 6.51456189e-06
 6.51450763e-06
 6.51477839e-06
 6.51447702e-06
 6.51466963e-06
 6.51479357e-06
 6.51457565e-06
 Inf
 Inf
 Inf
 6.51443761e-06
 Inf
 2.75621438e+252
 4.16587199e+255
 Inf
 6.51383667e-06
 6.51560068e-06
 6.51735154e-06
 6.51820629e-06
 6.51840843e-06
 6.51905490e-06
 6.51824672e-06
 6.51712575e-06
 6.51723725e-06
 6.51749390e-06
 6.51754003e-06
 6.51898267e-06
 6.51954177e-06
 6.51858720e-06
 6.51787828e-06
 6.51728110e-06
 6.51825108e-06
 6.51875233e-06
 6.51886348e-06
 6.51988383e-06
 6.51847955e-06
 6.51637548e-06
 6.51533497e-06
 6.51575557e-06
 6.51600711e-06
 6.51544634e-06
 6.51454937e-06
 6.51443372e-06
 6.51472593e-06
 Inf
 Inf
 1.17766995e+191
 Inf
 Inf
 Inf
 6.51425644e-06
 Inf
 4.36925532e+287
 Inf
 6.51433586e-06
 6.51539746e-06
 6.51525232e-06
 Inf
 Inf
 6.51423271e-06
 6.51472207e-06
 6.51510482e-06
 6.51506620e-06
 6.51492117e-06
 6.51493794e-06
 6.51491352e-06
 6.51479390e-06
 6.51501246e-06
 6.51493143e-06
 6.51479076e-06
 6.51508977e-06
 6.51547055e-06
 6.51533967e-06
 6.51496435e-06
 6.51459031e-06
 6.51478216e-06
 6.51475590e-06
 6.50247623e-06
 6.51497088e-06
 6.51505047e-06
 6.51499977e-06
 6.51455381e-06
 6.51480034e-06
 6.51525271e-06
 6.51544017e-06
 6.51517447e-06
 6.51488184e-06
 6.51492961e-06
 6.51494136e-06
 6.51488266e-06
 6.51505147e-06
 6.51533020e-06
 6.51552044e-06
 6.51533308e-06
 6.51543972e-06
 6.51553790e-06
 6.51535260e-06
 6.51531276e-06