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 3.01571037e+18
 3.76953275e+18
 9.73044245e+18
 7.22282060e+17
 8.95809417e+16
 2.62396889e+17
 5.93312323e+17
 7.94369296e+17
 1.84224927e+18
 2.08545365e+18
 1.48544918e+19
 4.06624819e+19
 3.04830896e+18
 6.83115665e+18
 5.59593483e+19
 4.30862662e+19
 2.60431932e+20
 9.37381088e+20
 3.53351125e+20
 5.46509929e+19
 8.82342215e+19
 7.47173491e+21
 3.48777464e+22
 8.37283994e+20
 1.65069805e+20
 2.54012674e+18
 7.87739315e+18
 7.02703894e+20
 1.42254541e+20
 4.14601233e+19
 1.61437738e+19
 5.26470233e+19
 3.74728226e+20
 1.63985832e+20
 6.92027110e+20
 5.72687704e+20
 3.80456603e+20
 1.88192620e+20
 1.01888070e+19
 1.27099286e+18
 7.99049341e+18
 2.96501573e+19
 7.24357915e+18
 1.59651118e+18
 2.11694849e+18
 1.81574793e+17
 2.38637816e+16
 1.96830716e+17
 2.48251785e+18
 9.97886369e+18
 2.87135126e+18
 1.01393253e+19
 4.02963481e+20
 1.68482570e+21
 4.03386883e+21
 1.95098118e+22
 1.67254436e+22
 8.82312656e+20
 1.65446658e+19
 4.70497477e+19
 7.39644168e+18
 1.03276334e+18
 1.34955062e+19
 8.45586390e+19
 2.30220459e+19
 3.31515088e+19
 6.61245610e+19
 7.37573440e+19
 1.78596382e+21
 1.35590549e+21
 9.71388160e+19
 4.81678080e+20
 2.21283800e+18
 1.38727912e+16
 4.28487122e+17
 4.52472682e+19
 3.92102998e+17
 1.68874395e+16
 3.22751134e+15
 4.36674598e+16
 1.20322297e+20
 1.83767194e+19
 1.90223561e+15
 4.69429037e+13
 1.10991689e+14
 9.23246121e+13
 2.69968531e+14
 3.92423735e+14
 3.21876944e+14
 4.07248791e+13
 2.73032976e+13
 3.87816279e+13
 4.32329828e+13
 6.18600161e+13
 3.94847406e+13
 3.38231693e+13
 2.01073150e+13
 1.26174751e+13
 1.99148386e+14
 2.96034537e+16
 1.71675407e+20
 9.18134929e+27
 4.42632313e+23
 5.80280379e+16
 2.35074317e+18
 4.08438733e+21
 1.15223407e+20
 6.14726248e+19
 5.24006850e+28
 1.23781479e+63
 5.11964949e+25
 2.12046426e+15
 5.14223456e+16
 6.18671919e+17
 2.50150870e+17
 1.14271475e+18
 3.07316792e+16
 1.66402806e+16
 5.36467085e+15
 3.35828214e+15
 3.34673499e+14
 3.52461157e+13
 1.65554652e+14
 7.32050741e+14
 4.88202144e+13
 2.48799116e+14
 1.43039975e+15
 1.15130362e+16
 2.64229849e+16
 9.40491819e+23
 4.96859409e+21
 2.50573464e+14
 4.12413142e+13
 1.54386887e+13
 3.34605149e+13
 6.77054037e+13
 5.97800113e+13
 1.08813674e+14
 1.91998748e+14
 3.31182314e+13
 1.70605172e+14
 5.55549148e+13
 7.85609759e+13
 1.08050066e+14
 7.55214286e+13
 2.30014789e+14
 9.58997011e+14
 8.26202471e+15
 5.37572500e+16
 1.17096736e+16
 8.80116914e+25
 6.48625864e+24
 1.10197689e+24
 5.35668723e+22
 8.18099120e+13
 1.71688887e+14
 2.23878786e+13
 1.75236453e+13
 1.93140313e+13
 2.85845373e+13
 1.85512484e+14
 1.34491552e+14
 1.11638425e+13
 1.34070760e+13
 1.77717297e+13
 6.15767536e+13
 4.07757512e+14
 5.82229995e+14
 1.15791341e+15
 5.80639905e+14
 4.31804562e+14
 1.52184840e+15
 2.16650927e+14
 5.70606279e+14
 2.86943810e+15
 5.05481837e+15
 1.09537815e+16
 5.50729374e+14
 3.09006733e+14
 1.08974352e+15
 1.25580544e+16
 2.56588221e+16
 4.95484560e+17
 9.13554381e+16
 1.94835414e+17
 2.03131086e+27
 1.14580470e+32
 3.35795097e+22
 1.78503683e+21
 2.60609626e+30
 7.01675628e+56
 2.09819698e+86
 3.05586041e+70
 5.12749022e+108
 6.03971851e+96
 9.90021658e+99
 2.93578226e+260
 2.14450328e+56
 1.66071067e+57
 Inf
 2.51375022e+03
 2.36777403e+122
 6.64671719e+32
 3.07390222e+36
 9.44749250e+51
 2.21119997e+36
 4.24082676e+31
 4.41861722e+40
 5.62838717e+54
 3.15439844e+38
 1.30400439e+43
 9.97484109e+51
 1.40379999e+51
 1.23591285e+80
 5.77645625e+101
 2.62769303e+191
 6.12990720e+277
 4.12942554e+58
 6.15189095e+55
 3.83188455e+206
 6.97811485e+274
 1.26129740e+157
 2.59948395e+170
 2.52008190e+92
 3.11080900e+57
 6.88131248e+56
 5.18334475e+123
 3.55589113e+52
 1.64499311e+37
 2.34893534e+51
 5.93745456e+70
 3.62133635e+234
 Inf
 Inf
 Inf
 2.51327432e+03
 1.53251888e+110
 1.16941579e+65
 3.33618259e+131
 Inf
 Inf
 2.19138068e+127
 1.01997110e+108
 6.02730926e+280
 2.51338638e+03
 2.51354866e+03
 2.51328061e+03
 2.51327414e+03
 7.46166901e+303
 Inf
 Inf
 Inf
 1.75816571e+150
 1.07429306e+147
 6.51478827e+181
 1.83610042e+200
 7.09976869e+177
 1.29962308e+140
 7.37908231e+256
 Inf
 1.50883244e+215
 3.44867674e+222
 2.51328195e+03
 2.51354450e+03
 2.51328045e+03
 2.51393231e+03
 2.51390648e+03
 2.51373659e+03
 2.51349155e+03
 1.70965919e+227
 Inf
 Inf
 Inf
 Inf
 1.10777525e+238
 4.60677104e+165
 2.51328061e+03
 2.51442070e+03
 2.51345351e+03
 3.82021647e+140
 2.05290628e+84
 4.14721538e+125
 Inf
 Inf
 2.51392909e+03
 2.51366768e+03
 2.51378370e+03
 2.51379375e+03
 Inf
 Inf
 2.51328720e+03
 2.51327413e+03
 Inf
 2.51332067e+03
 2.51345605e+03
 Inf
 Inf
 2.36775137e+177
 2.59821529e+133
 4.28021173e+108
 4.60509135e+111
 5.62620877e+130
 1.11015182e+112
 2.31500253e+134
 5.95814493e+138
 2.02869595e+107
 2.50635579e+88
 3.65530136e+107
 7.23035109e+140
 2.49881901e+213
 Inf
 2.51370601e+03
 2.51350663e+03
 2.51327416e+03
 Inf
 2.51341165e+03
 2.51359981e+03
 2.51385261e+03
 2.51356773e+03
 7.93773684e+235
 4.40744218e+97
 1.98369525e+101
 6.93108410e+105
 2.93155085e+141
 Inf
 Inf
 Inf
 3.83804142e+241
 1.71671365e+155
 1.96934819e+210
 Inf
 2.51331648e+03
 2.51335841e+03
 2.51329975e+03
 2.51328587e+03
 2.51365778e+03
 2.51332641e+03
 1.11384760e+282
 Inf
 Inf
 Inf
 4.38488466e+196
 3.72530754e+160
 7.13963327e+157
 3.04306751e+107
 2.25254972e+108
 2.85869172e+95
 5.77654495e+103
 5.19383300e+129
 3.01183489e+102
 6.05945978e+106
 1.92141172e+166
 1.15394894e+262
 1.93399340e+207
 Inf
 2.51330136e+03
 Inf
 Inf
 4.49359818e+282
 2.00106136e+206
 7.21133469e+254
 2.68618542e+97
 5.82142367e+60
 1.31211761e+82
 7.88842744e+93
 1.00282007e+91
 9.70399611e+100
 1.88510144e+81
 1.01490066e+67
 2.97874818e+67
 1.43862525e+86
 4.58216160e+72
 5.27052146e+77
 1.84585228e+108
 3.18783744e+94
 1.72471702e+102
 3.10836966e+97
 7.42502930e+88
 2.63714975e+89
 9.86270895e+82
 2.26024968e+74
 2.75242272e+86
 5.75363459e+103
 7.54025071e+76
 2.14339624e+104
 6.12629482e+124
 4.35366066e+97
 9.76668553e+88
 1.18446270e+92
 2.89547495e+132
 Inf
 3.04397846e+242
 2.18484913e+92
 2.43022266e+71
 2.10607848e+54
 1.68635237e+47
 8.45104958e+52
 8.50563857e+85
 Inf
 1.96138728e+305
 7.50358985e+235
 Inf
 Inf
 2.59159250e+176
 1.07599220e+125
 6.57749642e+164
 3.75622212e+119
 2.39976246e+91
 Inf
 4.30599895e+246
 1.36122999e+81
 9.65796229e+100
 4.93962189e+91
 3.66090890e+107
 1.28801184e+121
 2.82947503e+108
 3.01370055e+115
 3.17466609e+85
 3.01041302e+74
 6.70440451e+85
 5.39651914e+78
 9.33953504e+171
 7.70220327e+130
 2.71911856e+59
 7.59413627e+67
 1.53798008e+70
 4.27831047e+80
 1.62828562e+98
 2.07226673e+102
 5.19066059e+129
 5.75532891e+91
 7.03359467e+64
 1.79219334e+58
 1.59855879e+56
 1.02645469e+59
 4.41114604e+61
 5.72536445e+61
 7.46796779e+80
 1.18284605e+90
 6.25303926e+151
 8.18866752e+57
 2.96060883e+30
 1.42084115e+44
 4.43677562e+55
 4.32813283e+46
 1.33541538e+45
 3.74847081e+48
 4.93108787e+45
 2.14941479e+45
 2.50344728e+55
 5.37668748e+62
 2.62344714e+51
 1.15221806e+49
 5.71815217e+62
 1.03898591e+51
 6.67982524e+51
 2.83239246e+71
 2.69898515e+106
 7.61606503e+113
 6.77077485e+107
 7.55995459e+90
 6.39366037e+71
 7.39784836e+81
 9.94424302e+101
 2.84165361e+101
 2.53334402e+75
 1.97228537e+73
 6.88973431e+101
 1.88161516e+288
 Inf
 2.51333394e+03
 2.51373120e+03
 2.51355074e+03
 2.51369175e+03
 2.51396332e+03
 2.51434122e+03
 2.51396993e+03
 2.51335441e+03
 Inf
 6.62669648e+179
 3.96431501e+144
 4.05430988e+207
 6.78068442e+197
 7.30073164e+117
 1.06329075e+125
 1.57216848e+164
 5.71716948e+137
 2.46400022e+86
 5.12057898e+112
 2.76364255e+307
 Inf
 Inf
 Inf
 2.51336850e+03
 2.51350856e+03
 2.51335783e+03
 2.51374337e+03
 2.51558503e+03
 2.51750976e+03
 2.51966154e+03
 2.51846654e+03
 2.51766251e+03
 2.52228918e+03
 2.52429552e+03
 2.52138178e+03
 2.52082675e+03
 2.51995624e+03
 2.51902488e+03
 2.51748106e+03
 2.51605408e+03
 2.51517028e+03
 2.51487352e+03
 2.51929486e+03
 2.51877317e+03
 2.51685003e+03
 2.51692764e+03
 2.51541011e+03
 2.51815438e+03
 2.51964670e+03
 2.51956696e+03
 2.52012679e+03
 2.51946670e+03
 2.51843068e+03
 2.51635695e+03
 2.51526733e+03
 2.49761605e+03
 2.51579513e+03
 2.51444422e+03
 7.50646404e+265
 4.70838160e+85
 1.40205464e+123
 Inf
 2.51342370e+03
 2.51327540e+03
 5.40467258e+156
 1.38918595e+112
 2.24010010e+167
 1.86461234e+220
 4.07595410e+177
 1.50204225e+163
 5.64337712e+213
 4.59193525e+188
 1.02747809e+212
 Inf
 2.36049302e+177
 3.40473893e+156
 2.08678936e+211
 1.37091557e+193
 1.03986235e+287
 2.71943914e+230
 2.42715973e+149
 2.20048674e+156
 8.15967846e+124
 8.40139149e+96
 4.58533632e+95
 1.44597879e+141
 4.42485853e+184
 2.17024624e+178
 1.36071232e+154
 5.70206996e+144
 8.95706447e+199
 1.74711038e+165
 6.92419079e+100
 1.92792600e+111
 1.00789087e+282
 Inf
 3.70604425e+121
 Inf
 2.51331855e+03
 8.93615206e+258
 5.41086093e+236
 Inf
 Inf
 5.16524281e+212
 4.98997918e+269
 7.29288153e+294
 2.51346811e+03
 2.51332964e+03
 2.51328461e+03
 2.51328195e+03
 2.57146703e+142
 1.40232820e+98
 1.11318699e+88
 2.13227197e+129
 3.83985771e+98
 1.32750257e+99
 8.13422430e+110
 2.44255521e+95
 4.86537731e+78
 4.81284118e+63
 7.47452449e+64
 1.32635043e+68
 1.91431973e+69
 7.70336497e+82
 4.04854728e+85
 2.84490753e+77
 3.66085610e+90
 5.69493690e+91
 3.38994392e+75
 2.94984717e+81
 3.44718459e+73
 8.24386697e+96
 6.50322110e+74
 5.65916820e+42
 2.46320893e+43
 1.65382490e+40
 8.79370578e+37
 6.04322515e+41
 1.31059915e+46
 6.52001325e+62
 2.83560209e+73
 7.51081769e+64
 7.12789025e+70
 5.54941905e+135
 4.35080052e+93
 1.60104730e+46
 2.07393872e+54
 7.41824745e+80
 6.73184005e+83
 1.43615645e+294
 Inf
 8.59771576e+81
 2.77335290e+67
 5.83158945e+77
 2.71053549e+103
 4.17106695e+99
 1.07948482e+94
 1.03679066e+117
 8.01381815e+184
 Inf
 2.51330906e+03
 2.51328195e+03
 7.29377530e+129
 1.86312348e+208
 2.51366895e+03
 2.51335498e+03
 Inf
 2.51331897e+03
 2.51389730e+03
 2.51416626e+03
 2.51336548e+03
 2.51327659e+03
 Inf
 Inf
 Inf
 Inf
 2.51328213e+03
 Inf
 2.51329607e+03
 2.51337661e+03
 2.51332918e+03
 2.51362643e+03
 2.51335329e+03
 1.57268033e+137
 9.41683518e+210
 2.51327587e+03
 1.11084649e+147
 2.91352819e+267
 Inf
 2.84244607e+172
 1.27203307e+214
 Inf
 2.51378513e+03
 2.51418514e+03
 2.51327479e+03
 7.00216106e+197
 2.51328342e+03
 2.51353630e+03
 Inf
 1.47996685e+237
 Inf
 6.42973080e+280
 Inf
 2.51327983e+03
 2.51332240e+03
 5.38665516e+102
 5.71874778e+91
 8.63217928e+271
 6.51001642e+180
 Inf
 1.37580335e+198
 Inf
 2.51338439e+03
 2.58963564e+159
 8.43328531e+242
 2.51328789e+03
 1.52484776e+141
 1.68071502e+121
 3.62257409e+86
 2.91940701e+56
 8.78331380e+77
 2.25449111e+130
 4.40859267e+184
 5.66226250e+174
 3.38983103e+147
 1.25531337e+108
 3.28758120e+88
 7.17798054e+146
 2.46709224e+159
 3.72885314e+167
 2.51556249e+228
 2.51327856e+03
 Inf
 2.51327669e+03
 2.51327817e+03
 1.02377836e+164
 1.33940062e+184
 3.57641956e+149
 2.51327968e+03
 Inf
 3.20971139e+130
 2.76163191e+103
 5.94295376e+81
 3.35283828e+109
 1.60272366e+146
 5.85084767e+162
 2.31387363e+162
 Inf
 2.51372450e+03
 2.51354346e+03
 2.51327413e+03
 2.51330136e+03
 Inf
 2.43381676e+256
 2.20248134e+138
 4.04711851e+116
 1.90936021e+118
 4.66874547e+131
 6.76374443e+230
 2.21084627e+104
 6.30715096e+59
 4.50424541e+73
 1.18096008e+127
 8.57300500e+87
 2.06250228e+66
 6.54807802e+56
 1.38228099e+75
 9.94278471e+90
 4.06176282e+85
 2.56180372e+78
 2.87655774e+47
 1.28044303e+60
 7.92673619e+110
 Inf
 2.51328304e+03
 Inf
 Inf
 2.51365532e+03
 2.51620867e+03
 2.51556670e+03
 2.51405008e+03
 2.51440156e+03
 2.51409628e+03
 2.51372317e+03
 2.51507294e+03
 2.51575438e+03
 2.51776717e+03
 2.51800309e+03
 2.51567350e+03
 2.51399504e+03
 2.51388797e+03
 2.51392586e+03
 2.51374338e+03
 2.51385866e+03
 2.51531530e+03
 2.51428845e+03
 Inf
 Inf
 2.51345604e+03
 2.51556694e+03
 2.51496773e+03
 2.51536095e+03
 2.51958620e+03
 2.51846617e+03
 2.51699438e+03
 2.51513212e+03
 2.51379801e+03
 2.51561835e+03
 2.51461567e+03
 2.51336190e+03
 2.51353426e+03
 Inf
 9.47903049e+93
 1.56423472e+103
 6.39856836e+181
 2.51330103e+03
 1.67851664e+264
 6.58552731e+139
 8.44851725e+175
 8.81980332e+208
 2.51327441e+03
 9.56645914e+216
 1.37115355e+107
 1.27283022e+126
 5.82926596e+103
 4.31508856e+102
 7.15562168e+147
 3.75276387e+94
 2.79179786e+151
 Inf
 Inf
 Inf
 2.51354658e+03
 2.51346636e+03
 Inf
 5.55410770e+236
 2.22894864e+156
 4.47132181e+117
 1.05826851e+148
 7.11009914e+123
 Inf
 8.55714465e+138
 4.56896735e+47
 1.09043839e+54
 2.37572755e+58
 4.47441111e+51
 1.70006403e+45
 8.91555149e+45
 1.14695865e+52
 8.96032013e+45
 2.60616209e+44
 6.89743438e+42
 1.25649174e+42
 2.06965179e+51
 6.11517825e+43
 8.60416189e+41
 1.53196443e+54
 4.71788438e+101
 1.39569745e+237
 6.71062647e+270
 2.63131177e+155
 7.19873947e+111
 5.64484200e+150
 9.50759088e+129
 1.52828498e+95
 8.41045310e+103
 7.91667176e+156
 5.78822874e+111
 4.72827018e+81
 7.32518507e+106
 1.66912815e+153
 2.89685433e+249
 8.28211649e+250
 8.59877462e+166
 3.64418091e+304
 5.75827044e+213
 1.24338324e+169
 4.08281787e+207
 1.29754510e+126
 2.11275546e+69
 6.62236957e+68
 5.05988573e+112
 7.51261811e+102
 4.00712786e+116
 9.74119149e+108
 5.26184890e+59
 1.36972005e+53
 9.10006247e+58
 1.37428791e+60
 1.26465026e+74
 4.66353486e+83
 1.97868894e+100
 3.00468223e+115
 8.58636009e+55
 6.09728833e+60
 9.78458434e+112
 1.71939214e+94
 8.31211519e+99
 5.20937662e+67
 1.23399834e+59
 3.81904316e+54
 6.13667045e+55
 7.98870747e+64
 5.03868998e+61
 5.49594555e+70
 8.68969584e+62
 5.49129084e+49
 2.56863556e+62
 4.93665032e+76
 2.76897679e+64
 1.46614872e+60
 9.04493479e+54
 2.32188148e+56
 1.20247234e+66
 8.52091843e+57
 4.65984922e+46
 6.69124592e+49
 1.12085453e+48
 6.08246280e+52
 8.45169276e+57
 5.24024268e+56
 9.61822348e+65
 4.44362842e+71
 7.24269544e+73
 9.66516893e+83
 1.64643223e+153
 5.44165199e+123
 3.64512794e+162
 Inf
 4.56067468e+176
 5.02528452e+99
 3.95306452e+208
 1.46527017e+161
 5.70151991e+117
 3.38285178e+171
 7.01885973e+94
 1.49170586e+93
 4.49493472e+157
 5.98896173e+138
 2.91218248e+119
 1.32437534e+198
 1.02931374e+212
 1.88331758e+123
 2.10611638e+99
 3.45641771e+110
 5.91301100e+138
 Inf
 2.51330687e+03
 Inf
 Inf
 Inf
 1.54711377e+114
 1.34500101e+91
 1.66528691e+120
 7.92656424e+108
 3.70432151e+90
 2.47940922e+92
 3.99666278e+246
 Inf
 1.22031119e+224
 8.61831633e+150
 9.83850951e+87
 2.77945501e+64
 5.02273662e+96
 7.09427464e+170
 1.20444437e+166
 3.41895239e+148
 2.59033626e+155
 2.30682720e+256
 Inf
 2.51329187e+03
 2.51365043e+03
 2.51352025e+03
 Inf
 Inf
 1.00662241e+249
 1.24798044e+169
 1.52686896e+294
 6.23352477e+277
 2.51331249e+03
 2.51368536e+03
 2.51400692e+03
 2.51332733e+03
 1.99175894e+192
 3.74410237e+200
 2.41141465e+163
 Inf
 3.82970559e+297
 6.74753329e+164
 1.50522456e+99
 6.85885272e+57
 2.09739024e+59
 7.17830971e+69
 2.94056223e+81
 1.48242004e+136
 3.20866973e+125
 3.51876548e+55
 1.24871097e+62
 3.20076323e+61
 6.02526942e+54
 3.31910426e+79
 5.08806187e+126
 Inf
 Inf
 1.78313271e+142
 4.35271226e+205
 2.51370210e+03
 2.51327650e+03
 1.61484412e+116
 3.90842378e+89
 7.23843209e+168
 2.51339383e+03
 4.05944186e+268
 3.08632280e+82
 2.48487179e+88
 3.53841870e+161
 7.02357245e+105
 5.04092201e+56
 6.09345537e+53
 9.01819763e+76
 5.91028576e+85
 7.44040979e+78
 3.88096368e+95
 2.87163733e+136
 1.72191460e+216
 1.72817085e+225
 1.68716033e+245
 2.19681655e+196
 2.28429288e+255
 Inf
 Inf
 Inf
 2.35640008e+253
 Inf
 2.51327983e+03
 2.51328765e+03
 Inf
 Inf
 Inf
 2.91645003e+175
 3.08496056e+232
 2.51332284e+03
 2.51336132e+03
 7.62678299e+303
 6.23961193e+277
 1.69864575e+245
 Inf
 Inf
 4.45549629e+210
 Inf
 Inf
 Inf
 Inf
 2.51333992e+03
 2.51341092e+03
 2.51331982e+03
 5.85027537e+195
 3.03774995e+114
 3.99029214e+208
 1.62351693e+229
 2.13665052e+217
 2.26054071e+204
 4.00952660e+276
 Inf
 Inf
 Inf
 2.51328441e+03
 1.11221745e+268
 2.36982689e+134
 4.31482824e+170
 6.55162067e+116
 1.60327518e+127
 3.25833503e+174
 1.97927150e+210
 1.17317452e+150
 4.68033917e+120
 3.40355382e+109
 2.87160743e+88
 1.64636043e+50
 1.28570827e+34
 6.07564897e+44
 8.85680641e+47
 3.16085354e+40
 9.04225311e+42
 2.19886498e+36
 1.28366938e+33
 3.85652530e+38
 2.34583009e+60
 8.95992975e+75
 2.42511349e+72
 6.49091143e+77
 9.05199457e+75
 4.39310068e+69
 2.36837843e+82
 8.62489665e+95
 4.69769924e+70
 7.80637661e+74
 1.24501992e+94
 2.65039683e+81
 5.33796967e+74
 3.62230166e+97
 4.65148779e+124
 8.40333071e+71
 1.75292386e+80
 4.04372604e+85
 2.39579260e+66
 1.29809570e+70
 2.82609684e+88
 1.55344849e+189
 2.38587635e+252
 4.91647415e+58
 8.28696336e+37
 2.00589873e+49
 2.96428316e+118
 3.88767728e+80
 1.83919545e+36
 5.73560654e+39
 5.54977677e+50
 2.57745302e+56
 3.60872646e+127
 2.51328014e+03
 2.51327805e+03
 4.84954573e+83
 2.30379757e+55
 3.75852910e+72
 5.21176637e+59
 3.23298279e+48
 3.56148338e+42
 1.36269873e+59
 7.39163396e+250
 2.23170047e+156
 1.71221343e+38
 3.55639008e+27
 3.72503012e+34
 3.29585057e+41
 8.20417746e+37
 1.07487277e+41
 1.74366176e+45
 4.41290466e+75
 4.55376390e+64
 3.13961584e+36
 3.07647763e+37
 7.17106312e+38
 4.15420154e+35
 9.22374328e+49
 8.82102527e+67
 4.18191842e+44
 9.48685183e+38
 1.62356100e+36
 3.78502796e+29
 4.77798503e+25
 2.79536749e+42
 1.05537864e+93
 1.40077139e+100
 3.06780327e+70
 4.79379448e+68
 5.24789430e+86
 1.91383979e+58
 5.05907525e+60
 3.40116680e+71
 4.28162684e+80
 3.34668767e+47
 1.64313614e+42
 2.21635429e+58
 9.81775367e+52
 2.33604127e+82
 9.73395038e+61
 4.54368454e+36
 3.37342390e+37
 6.58004191e+50
 9.01669427e+193
 4.50736713e+196
 7.56025884e+87
 1.30803173e+60
 1.33075741e+38
 1.25406026e+35
 4.37142577e+72
 1.49148624e+170
 2.86654954e+214
 6.58205228e+116
 5.34307802e+55
 8.46329148e+69
 7.22952596e+79
 8.09101731e+64
 2.46367880e+74
 1.56310363e+245
 Inf
 6.48973929e+280
 1.17883784e+262
 7.84544702e+115
 2.93598382e+56
 2.14816595e+57
 1.62284767e+165
 2.51336973e+03
 1.72521668e+296
 1.20838813e+203
 2.51331249e+03
 2.51330136e+03
 2.51327474e+03
 2.51329943e+03
 2.51330474e+03
 Inf
 2.51329636e+03
 2.51340152e+03
 2.51329161e+03
 Inf
 7.03888447e+100
 5.54408616e+136
 2.51349528e+03
 2.51343544e+03
 Inf
 Inf
 2.51330580e+03
 Inf
 2.51328362e+03
 2.51331813e+03
 Inf
 1.47809846e+152
 2.27522270e+173
 Inf
 Inf
 Inf
 Inf
 4.67690347e+231
 2.22476275e+199
 1.84205888e+200
 Inf
 Inf
 2.51340945e+03
 2.51374338e+03
 2.51336973e+03
 Inf
 Inf
 Inf
 7.87882374e+251
 6.76636516e+265
 7.52649408e+148
 3.82600217e+163
 1.10861998e+158
 3.27985474e+139
 2.61197280e+193
 1.17955849e+179
 1.70401475e+155
 3.55836288e+149
 9.33889214e+169
 Inf
 2.51342602e+03
 2.51330371e+03
 Inf
 Inf
 2.51355074e+03
 2.51367649e+03
 2.51352026e+03
 2.51361356e+03
 2.51388481e+03
 2.51414941e+03
 2.51402057e+03
 2.51371257e+03
 2.51335611e+03
 2.51356988e+03
 2.51463420e+03
 2.51470980e+03
 2.51449202e+03
 2.51395838e+03
 2.51377947e+03
 2.51342064e+03
 2.51348419e+03
 2.51370340e+03
 2.51373392e+03
 2.51405710e+03
 2.51361588e+03
 2.51386935e+03
 2.51425669e+03
 2.51377946e+03
 2.51350282e+03
 2.51339870e+03
 2.51330651e+03
 Inf
 Inf
 Inf
 Inf
 2.51329462e+03
 2.51345351e+03
 2.51346638e+03
 2.51390359e+03
 2.51384502e+03
 2.51414383e+03
 2.51475989e+03
 2.51465970e+03
 2.51384959e+03
 2.51335726e+03
 2.51337034e+03
 2.51336309e+03
 2.51370080e+03
 2.51396003e+03
 2.50405722e+03
 2.51404483e+03
 2.51403433e+03
 2.51411441e+03
 2.51373794e+03
 2.51403612e+03
 2.51432485e+03
 2.51363593e+03
 2.51414753e+03
 2.51537253e+03
 2.51508350e+03
 2.51538979e+03
 2.51527563e+03
 2.51396332e+03
 2.51343867e+03
 Inf
 1.87262005e+110
 1.57924946e+132
 Inf
 2.51327456e+03
 Inf
 Inf
 Inf
 Inf
 8.84307902e+74
 1.34620061e+76
 1.00733943e+143
 4.35387172e+205
 Inf
 Inf
 Inf
 2.51328362e+03
 1.04585542e+168
 4.58305799e+76
 1.46737206e+104
 5.72798278e+160
 1.38940886e+133
 2.18655947e+104
 7.34827835e+63
 4.52840887e+64
 3.89851921e+46
 4.44823438e+55
 2.51329322e+03
 7.53760951e+303
 1.55872428e+108
 9.74417960e+227
 2.04922454e+107
 4.22308903e+63
 6.91714933e+154
 Inf
 1.38243979e+173
 1.83268257e+73
 4.09633698e+75
 1.51876353e+148
 1.62195580e+146
 1.34904804e+82
 3.72120400e+81
 1.05433550e+119
 2.77748210e+307
 Inf
 Inf
 2.51333249e+03
 2.51327968e+03
 2.51327520e+03
 2.43983338e+256
 1.65889263e+172
 2.51327856e+03
 2.51347075e+03
 2.51342447e+03
 2.51371521e+03
 2.51413459e+03
 2.51382718e+03
 2.51365287e+03
 2.51384807e+03
 2.51368791e+03
 2.51339521e+03
 2.51333443e+03
 2.51354244e+03
 2.51373660e+03
 2.51378657e+03
 2.51420418e+03
 2.51409085e+03
 2.51375434e+03
 2.51370865e+03
 2.51412538e+03
 2.51420808e+03
 2.51334459e+03
 Inf
 7.43246398e+170
 3.03301496e+189
 Inf
 2.51333249e+03
 2.51341912e+03
 2.51361705e+03
 2.51365657e+03
 Inf
 3.96288055e+163
 4.12787733e+106
 1.22741467e+134
 6.81114112e+274
 1.10771327e+199
 Inf
 2.51329818e+03
 2.11745734e+180
 1.36442441e+269
 1.05971560e+282
 4.06677772e+118
 2.24685986e+253
 2.51328957e+03
 1.40607276e+154
 1.43955552e+72
 4.18062993e+63
 8.03969505e+57
 6.72418693e+53
 8.87644802e+55
 1.89178438e+190
 2.51340509e+03
 3.03942431e+224
 2.77177940e+94
 3.53316965e+78
 9.57557282e+50
 1.81914589e+45
 1.48644929e+58
 2.68654303e+54
 2.03393266e+78
 1.18585215e+273
 Inf
 2.11371528e+154
 5.85887326e+103
 Inf
 2.51327925e+03
 3.38540257e+152
 2.81473381e+85
 6.81494573e+177
 3.40505015e+156
 1.40703375e+101
 9.53670224e+113
 2.27774407e+147
 Inf
 7.33768690e+294
 6.59211095e+158
 3.55019469e+99
 1.58585704e+80
 3.81441976e+72
 1.31364041e+61
 8.01885940e+64
 5.05895642e+62
 2.37102648e+47
 3.75118400e+56
 2.84474984e+71
 5.07133238e+49
 1.07697757e+51
 5.23321344e+44
 1.54713778e+32
 1.21802569e+22
 9.27411939e+23
 1.24397354e+24
 4.88863647e+19
 4.30275845e+15
 2.72507617e+13
 2.04256858e+15
 1.03236031e+14
 5.02543378e+12
 7.34692742e+14
 1.94989011e+16
 2.58864882e+21
 1.01559534e+18
 3.12566692e+12
 1.09066335e+13
 1.69357646e+13
 2.04057338e+14
 2.41982087e+22
 4.94736384e+21
 1.26104471e+14
 2.02816124e+13
 1.28112062e+14
 7.23502968e+13
 3.49769249e+13
 2.21808013e+13
 5.35932095e+12
 1.51070880e+13
 2.48587271e+17
 7.74798829e+30
 2.86989305e+38
 3.31277368e+35
 2.35426194e+25
 1.06824570e+20
 1.90199609e+25
 8.83146155e+17
 3.94076066e+13
 8.54910754e+13
 7.37023186e+13
 1.63357933e+19
 2.02612800e+27
 1.81112659e+29
 2.65501052e+30
 1.40071282e+30
 3.07364446e+17
 3.41127390e+12
 1.90214897e+13
 1.93695516e+14
 4.59786867e+18
 3.73187172e+22
 6.15779430e+25
 2.18737750e+27
 7.72949138e+23
 5.98970046e+25
 1.00305875e+28
 4.49259524e+37
 1.04505426e+41
 7.82803917e+43
 8.75689703e+67
 2.35127802e+91
 2.57737682e+47
 1.12716161e+75
 Inf
 6.35795545e+84
 3.92520882e+31
 7.04751467e+24
 2.56506027e+37
 1.45034973e+46
 6.60346384e+30
 3.21454888e+31
 1.78196452e+51
 3.34558674e+50
 4.17442095e+64
 4.51941380e+73
 3.76490971e+51
 2.08113578e+44
 1.20875964e+41
 5.43539063e+67
 3.77033071e+87
 1.11240889e+64
 8.97548603e+59
 2.02113768e+91
 1.18826286e+90
 1.70229705e+72
 2.12782723e+105
 2.06590698e+182
 1.81822446e+274
 7.14574403e+192
 1.05219846e+53
 4.02073292e+38
 1.02714429e+54
 6.15632955e+178
 2.51342370e+03
 2.51366771e+03
 2.33801374e+300
 1.10790071e+69
 2.09387917e+138
 Inf
 3.89988832e+115
 3.01749286e+107
 5.09470283e+53
 1.47077325e+49
 1.87350017e+169
 Inf
 2.45975649e+65
 2.12893006e+40
 4.36387255e+37
 7.64639449e+25
 6.08282668e+29
 2.66106278e+42
 1.91544199e+37
 3.00914215e+37
 1.35504685e+33
 1.58995617e+34
 1.81873854e+41
 7.19871213e+38
 4.40217153e+45
 6.49126765e+43
 5.03061608e+37
 2.95366205e+41
 1.09240754e+55
 5.89351150e+124
 7.30849623e+65
 4.97616264e+45
 2.50460513e+67
 2.77878624e+62
 2.02550210e+44
 1.08146935e+41
 1.31478095e+36
 9.33659667e+40
 4.15051532e+56
 3.86983783e+61
 3.48402028e+60
 1.61161217e+44
 8.11367495e+35
 8.08292940e+34
 3.32810257e+39
 1.93488204e+40
 1.19130485e+43
 1.87056778e+45
 1.84704245e+35
 9.67352291e+31
 1.57165354e+21
 1.67740344e+23
 2.82544520e+51
 1.00633562e+61
 1.72359624e+67
 1.33886315e+57
 2.49291696e+20
 3.07397534e+19
 9.67168367e+54
 2.92728013e+68
 6.33165431e+36
 3.46911249e+27
 5.68710682e+31
 7.66465260e+38
 8.50948159e+39
 1.39676750e+24
 2.34623190e+15
 2.98850379e+19
 9.82152886e+26
 3.07807851e+17
 1.54943792e+16
 5.42363124e+18
 6.03132234e+26
 2.68602165e+40
 3.06862850e+32
 1.20291028e+29
 4.41142908e+28
 2.54624744e+19
 9.00484104e+15
 2.43854816e+15
 6.15265424e+14
 3.47486578e+14
 1.73965777e+18
 3.74704004e+23
 9.79641424e+23
 1.86609680e+25
 1.22162523e+29
 1.15290122e+23
 2.36515503e+15
 5.24651056e+14
 8.69939353e+14
 1.08326653e+14
 2.88218959e+13
 1.14333046e+14
 2.01133851e+14
 5.57468869e+14
 3.65162345e+14
 2.18894433e+14
 6.78325366e+13
 5.82038835e+14
 2.26967976e+16
 1.26807271e+17
 1.55033986e+15
 1.11992132e+14
 2.17311843e+14
 7.69370580e+15
 1.47612643e+16
 9.55142246e+14
 2.08590059e+15
 3.18519344e+15
 2.16463491e+16
 5.08288326e+16
 3.64723353e+14
 8.69568176e+13
 8.38939927e+14
 4.30834363e+15
 2.74132155e+26
 7.77395871e+80
 1.31582233e+23
 4.58995586e+15
 2.11557398e+17
 3.75333460e+18
 1.07385547e+22
 2.53648403e+23
 2.96897604e+18
 2.86889275e+17
 2.21169720e+19
 5.50814620e+19
 6.82299003e+20
 5.67868697e+21
 8.72365794e+21
 1.29580456e+23
 1.41380873e+22
 3.94765266e+22
 3.44690963e+24
 6.84475528e+24
 4.74801407e+24
 2.98837737e+24
 1.31444665e+24
 2.71377038e+26
 1.05861238e+27
 9.71878726e+22
 3.42975222e+21
 2.34466123e+20
 9.09496341e+18
 1.19666933e+18
 3.10787790e+17
 1.22777267e+17
 8.41587248e+15
 1.18010105e+16
 2.57072873e+17
 1.07129074e+18
 1.21031484e+18
 7.74084299e+17
 1.13936870e+18
 6.71736527e+18
 1.48753899e+19
 3.44066736e+17
 1.27295917e+18
 3.15687327e+17
 1.67421423e+18
 3.94473579e+20
 1.41268367e+21
 2.55577069e+19
 1.84271024e+20
 1.02619085e+22
 4.34615875e+22
 3.21738398e+21
 2.83941514e+21
 2.02349378e+21
 7.71647285e+21
 3.45487552e+23
 2.67144549e+24
 4.61231638e+24
 5.17715382e+23
 2.62532169e+22
 1.74790308e+22
 8.79834358e+21
 5.73410143e+21
 1.03693616e+21
 2.07459331e+20
 8.72694541e+18
 3.57391172e+18
 3.67284263e+19
 9.70877115e+18
 3.68414919e+17
 4.63680957e+17
 1.34078992e+19
 2.40206317e+20
 2.20284940e+21
 1.65250622e+20
 7.86725433e+19
 3.00620993e+18
 3.50843915e+17
 2.88810906e+19
 1.51258286e+20
 6.73968593e+19
 3.12493157e+18
 1.38053340e+19
 1.24461287e+22
 2.28324470e+22
 1.11393524e+20
 4.08016805e+17
 4.02648352e+18
 3.23149169e+21
 1.47336914e+23
 4.14330138e+22
 7.20572622e+21
 2.41268430e+23
 7.47816942e+23
 7.13636909e+25
 1.00320430e+28
 3.02633947e+25
 8.36611469e+25
 2.01646537e+27
 5.18589174e+24
 1.67613788e+23
 2.22586672e+24
 5.13042376e+23
 9.43676514e+22
 1.19437324e+22
 9.23717711e+19
 7.86391210e+20
 1.12962270e+22
 3.13948437e+19
 5.63300278e+20
 5.03751024e+21
 1.86437507e+20
 1.03327092e+20
 2.65536691e+20
 4.38802674e+20
 5.62550166e+17
 5.02983421e+16
 6.35513556e+17
 1.87653617e+18
 6.12305443e+53
 2.52357426e+03
 2.52529773e+03
 2.52673366e+03
 2.51624621e+03
 2.51327452e+03
 2.51425469e+03
 2.51443580e+03
 2.51488860e+03
 2.51484071e+03
 2.51696752e+03
 2.52171385e+03
 2.51996066e+03
 2.51973827e+03
 2.52145568e+03
 2.52180204e+03
 2.52115693e+03
 2.52388876e+03
 2.52192249e+03
 2.51994601e+03
 2.52117902e+03
 2.52434736e+03
 2.52780454e+03
 2.47966885e+03
 2.52816213e+03
 2.52826520e+03
 2.52554926e+03
 2.52690015e+03
 2.52796431e+03
 2.52597764e+03
 2.52653486e+03
 2.52872779e+03
 2.52917217e+03
 2.52831578e+03
 2.52808024e+03
 2.52796477e+03
 2.52773604e+03
 2.52555629e+03
 2.52495219e+03
 2.52400603e+03
 2.52500467e+03
 2.52672599e+03
 2.52695715e+03
 2.52692749e+03
 2.52547277e+03
 2.52581336e+03
 2.52568074e+03
 2.52738995e+03
 2.52787449e+03
 2.52652928e+03
 2.52701741e+03
 2.52726448e+03
 2.52736164e+03
 2.52808574e+03
 2.52885359e+03
 2.52898309e+03
 2.52763001e+03
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 2.52706225e+03
 2.52864991e+03
 2.52721805e+03
 2.52692593e+03
 2.52631343e+03
 2.52380490e+03
 2.52484796e+03
 2.52761525e+03
 2.52843444e+03
 2.52661624e+03
 2.48322182e+03
 2.52818529e+03
 2.52698136e+03
 2.52440698e+03
 2.52520888e+03
 2.52744257e+03
 2.52614766e+03
 2.52426159e+03
 2.52469210e+03
 2.52687202e+03
 2.52921676e+03
 2.52942347e+03
 2.53046223e+03
 2.53092041e+03
 2.52961519e+03
 2.52872857e+03
 2.52672588e+03
 2.52903334e+03
 2.53131414e+03
 2.52879742e+03
 2.52941227e+03
 2.53082707e+03
 2.53045076e+03
 2.53075079e+03
 2.53083801e+03
 2.53095247e+03
 2.52997094e+03
 2.52928856e+03
 2.52929772e+03
 2.52851726e+03
 2.52885918e+03
 2.53107764e+03
 2.53126408e+03
 2.53092636e+03
 2.53171192e+03
 2.53061020e+03
 2.52973715e+03
 2.52848669e+03
 2.47932755e+03
 2.52997914e+03
 2.53010250e+03
 2.53068553e+03
 2.53011679e+03
 2.53133813e+03
 2.53402665e+03
 2.53335706e+03
 2.53123752e+03
 2.53214821e+03
 2.53318434e+03
 2.53280984e+03
 2.53317354e+03
 2.53271524e+03
 2.52697478e+03
 2.51722012e+03
 2.51351731e+03
 2.51335555e+03
 2.51581727e+03
 2.52520378e+03
 2.52851245e+03
 2.52668818e+03
 2.52962302e+03
 2.53079563e+03
 2.52943048e+03
 2.52999360e+03
 2.52875858e+03
 2.52805613e+03
 2.52853184e+03
 2.52863719e+03
 2.53075185e+03
 2.53017184e+03
 2.52892394e+03
 2.53051920e+03
 2.53178184e+03
 2.53064301e+03
 2.52867331e+03
 2.52963809e+03
 2.53060334e+03
 2.52992124e+03
 2.53043631e+03
 2.53067062e+03
 2.53008466e+03
 2.52852529e+03
 2.52663871e+03
 2.52795496e+03
 2.53064434e+03
 2.53106645e+03
 2.52986531e+03
 2.53069250e+03
 2.53257640e+03
 2.53143018e+03
 2.53069489e+03
 2.53020044e+03
 2.53072611e+03
 2.53066092e+03
 2.53161844e+03
 2.53269933e+03
 2.53230354e+03
 2.52974442e+03
 2.52774402e+03
 2.52892248e+03
 2.52964084e+03
 2.52810067e+03
 2.52716026e+03
 2.53078485e+03
 2.53048270e+03
 2.52834706e+03
 2.52407773e+03
 2.48276714e+03
 2.52968788e+03
 2.48081542e+03
 2.52987388e+03
 2.53041287e+03
 2.53118734e+03
 2.52998679e+03
 2.52866572e+03
 2.52905533e+03
 2.52803953e+03
 2.52854703e+03
 2.53009339e+03
 2.52820782e+03
 2.52782956e+03
 2.52818461e+03
 2.52614135e+03
 2.52715822e+03
 2.52925612e+03
 2.47890735e+03
 2.53048684e+03
 2.53210783e+03
 2.47873231e+03
 2.53109427e+03
 2.52951158e+03
 2.53044426e+03
 2.53284812e+03
 2.53328697e+03
 2.53098518e+03
 2.52958445e+03
 2.52981255e+03
 2.53000451e+03
 2.53140632e+03
 2.52991349e+03
 2.52984269e+03
 2.53217619e+03
 2.53153860e+03
 2.53016694e+03
 2.52943241e+03
 2.52887737e+03
 2.52990568e+03
 2.52996192e+03
 2.53206403e+03
 2.47763836e+03
 2.52892364e+03
 2.52862467e+03
 2.52847993e+03
 2.52762263e+03
 2.52823050e+03
 2.53046230e+03
 2.52902496e+03
 2.47892517e+03
 2.52999544e+03
 2.53004069e+03
 2.53076848e+03
 2.52973571e+03
 2.53060983e+03
 2.53069438e+03
 2.52879018e+03
 2.53000236e+03
 2.53167883e+03
 2.53236059e+03
 2.53166024e+03
 2.53231380e+03
 2.53250944e+03
 2.53100197e+03
 2.51330687e+03
 2.51328061e+03
 2.52988175e+03
 2.53108395e+03
 2.48022780e+03
 2.53047855e+03
 2.53084195e+03
 2.52718154e+03
 2.52855442e+03
 2.53327258e+03
 2.53107562e+03
 2.53174362e+03
 2.53118572e+03
 2.52924800e+03
 2.53064280e+03
 2.53197891e+03
 2.53028059e+03
 2.53046302e+03
 2.53275993e+03
 2.53241239e+03
 2.53216013e+03
 2.53271554e+03
 2.52923974e+03
 2.52621339e+03
 2.52860975e+03
 2.53131403e+03
 2.48365562e+03
 2.52991421e+03
 2.52939303e+03
 2.52910635e+03
 2.53096011e+03
 2.53179984e+03
 2.53047806e+03
 2.53141346e+03
 2.52963919e+03
 2.52898845e+03
 2.53020706e+03
 2.53007658e+03
 2.52901036e+03
 2.52672590e+03
 2.52620788e+03
 2.52564044e+03
 2.52763742e+03
 2.52858097e+03
 2.52758432e+03
 2.52762306e+03
 2.52793311e+03
 2.52881394e+03
 2.52776548e+03
 2.52675539e+03
 2.52530697e+03
 2.52707012e+03
 2.52790397e+03
 2.52518270e+03
 2.52487971e+03
 2.52609142e+03
 2.52561081e+03
 2.52547439e+03
 2.52436046e+03
 2.52231927e+03
 2.51723989e+03
 2.51384058e+03
 2.51511042e+03
 2.52011131e+03
 2.52264587e+03
 2.51867722e+03
 2.51429650e+03
 2.51391472e+03
 2.51389899e+03
 2.51381249e+03
 2.51360322e+03
 2.51340872e+03
 2.51363116e+03
 2.51471419e+03
 Inf
 3.04072098e+68
 2.45113504e+69
 7.31550149e+56
 1.15972841e+56
 5.39781841e+137
 2.51537541e+03
 2.51479376e+03
 3.13520741e+136
 3.44823270e+62
 4.07560139e+57
 6.51701449e+56
 2.66296617e+59
 1.36193957e+55
 1.85448945e+57
 6.04591722e+58
 1.83540216e+166
 2.51549229e+03
 2.51498829e+03
 1.34972953e+157
 9.77917330e+63
 1.97791242e+70
 8.62704981e+56
 1.65099027e+59
 4.15157362e+63
 1.05940189e+52
 5.60342644e+48
 1.51683502e+127
 2.51531816e+03
 2.51488065e+03
 3.16226664e+132
 3.63882828e+51
 7.27889126e+50
 1.28450423e+51
 1.36213586e+53
 2.38546961e+60
 9.52006542e+54
 4.20739761e+56
 2.07004620e+156
 2.51444424e+03
 2.51428019e+03
 1.66016653e+80
 6.29369239e+37
 8.53614858e+38
 1.95687321e+39
 7.34965308e+34
 3.24573470e+33
 8.54802741e+32
 3.01240142e+33
 3.83263808e+53
 2.51337598e+03
 2.51377245e+03
 2.77321611e+72
 7.57680703e+37
 2.04488912e+28
 1.01236247e+29
 4.22842248e+36
 2.42562011e+34
 1.08642203e+35
 6.87146295e+39
 1.03564592e+55
 2.51327659e+03
 2.51356882e+03
 1.87576294e+73
 2.73324295e+37
 9.98762321e+33
 1.17595727e+35
 4.81977394e+38
 4.24193139e+44
 9.95025359e+42
 8.63328406e+35
 3.40613748e+49
 Inf
 2.51356666e+03
 2.32202098e+64
 1.22226189e+35
 3.00178810e+32
 2.59972482e+29
 1.39756158e+31
 3.30723223e+32
 1.17020659e+33
 1.58581091e+35
 1.34663400e+46
 Inf
 2.51349622e+03
 7.44783583e+57
 7.82464952e+32
 2.51499400e+33
 1.86388795e+35
 1.32791137e+35
 6.94121769e+35
 2.51522817e+03
 Inf
 1.75889793e+145
 2.51341313e+03
 6.05040648e+161
 2.23632943e+204
 2.51447672e+03
 2.51547175e+03
 2.51401372e+03
 2.51329007e+03
 2.51331566e+03
 2.51352922e+03
 2.51409089e+03
 2.51365778e+03
 2.51328565e+03
 2.51328195e+03
 2.51364556e+03
 2.51469281e+03
 2.51424094e+03
 2.51370210e+03
 Inf
 1.10003470e+242
 Inf
 3.20952159e+54
 1.72999897e+28
 5.78963983e+58
 2.51370994e+03
 2.13688697e+66
 5.95021662e+27
 9.15780353e+56
 2.51331982e+03
 2.51329911e+03
 2.51463420e+03
 2.51634656e+03
 2.51549218e+03
 2.51394040e+03
 2.51341611e+03
 9.63489702e+93
 3.33376843e+93
 2.51421765e+03
 1.30720932e+232
 5.61867229e+107
 2.51337982e+03
 2.51396499e+03
 Inf
 2.02981628e+210
 2.51327869e+03
 Inf
 Inf
 2.51331855e+03
 2.51333891e+03
 Inf
 Inf
 Inf
 2.51361822e+03
 2.51376405e+03
 2.51354347e+03
 2.51372183e+03
 2.51371381e+03
 2.51375296e+03
 2.51365409e+03
 2.51343070e+03
 2.51357641e+03
 2.51337661e+03
 2.51385412e+03
 7.99177519e+83
 2.12417327e+27
 1.91964713e+37
 Inf
 1.66927332e+69
 2.60829036e+25
 4.23995580e+31
 4.18546785e+185
 1.39172033e+73
 3.48002452e+77
 2.51501214e+03
 2.49950943e+03
 2.51330007e+03
 1.73293358e+175
 2.51336368e+03
 Inf
 1.12861049e+248
 2.51335107e+03
 2.51356024e+03
 2.51346203e+03
 2.51332733e+03
 2.51327414e+03
 Inf
 2.51327501e+03
 2.51331133e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327479e+03
 Inf
 Inf
 2.51329607e+03
 2.51390044e+03
 2.51330474e+03
 Inf
 2.51447671e+03
 2.51500704e+03
 2.51474533e+03
 2.51473128e+03
 2.51468098e+03
 2.51462264e+03
 2.51475019e+03
 2.51485593e+03
 2.51590362e+03
 2.51757954e+03
 2.51718029e+03
 2.51686893e+03
 2.51775866e+03
 2.51789949e+03
 2.51751366e+03
 2.51725585e+03
 2.51677896e+03
 2.51661724e+03
 2.51813689e+03
 2.51904892e+03
 2.52007506e+03
 2.52163893e+03
 2.52148132e+03
 2.52003863e+03
 2.48822983e+03
 2.52057639e+03
 2.51883087e+03
 2.51977710e+03
 2.52215851e+03
 2.52300856e+03
 2.52279026e+03
 2.52365683e+03
 2.52437418e+03
 2.52444453e+03
 2.52398620e+03
 2.52358698e+03
 2.52416897e+03
 2.52386868e+03
 2.52438004e+03
 2.52515571e+03
 2.52629203e+03
 2.52795630e+03
 2.52970474e+03
 2.53033274e+03
 2.52443332e+03
 2.52490484e+03
 2.52514948e+03
 2.52647172e+03
 2.53405354e+03
 2.53206877e+03
 2.52922442e+03
 2.53166860e+03
 2.53497976e+03
 2.53329692e+03
 2.53157675e+03
 2.53091217e+03
 2.53031487e+03
 2.53040786e+03
 2.53219357e+03
 2.53173436e+03
 2.53296188e+03
 2.53448242e+03
 2.53337770e+03
 2.53204750e+03
 2.53155271e+03
 2.53078559e+03
 2.53058901e+03
 2.53127074e+03
 2.53042847e+03
 2.52967257e+03
 2.53017360e+03
 2.53196098e+03
 2.53179432e+03
 2.53107768e+03
 2.53111324e+03
 2.53186635e+03
 2.53043695e+03
 2.52971346e+03
 2.52978581e+03
 2.52899444e+03
 2.53023153e+03
 2.53010089e+03
 2.52801689e+03
 2.52747449e+03
 2.52774207e+03
 2.52741940e+03
 2.52803179e+03
 2.52705547e+03
 2.52669064e+03
 2.52718858e+03
 2.52649292e+03
 2.52676072e+03
 2.52805519e+03
 2.52750833e+03
 2.52761188e+03
 2.52793321e+03
 2.52586469e+03
 2.52646261e+03
 2.52718951e+03
 2.52713865e+03
 2.52850951e+03
 2.52806075e+03
 2.52497793e+03
 2.52187641e+03
 2.52073359e+03
 2.51994611e+03
 2.51905352e+03
 2.51817656e+03
 2.51864936e+03
 2.51913029e+03
 2.51842149e+03
 2.51755481e+03
 2.51711822e+03
 2.51718407e+03
 2.51770414e+03
 2.51854419e+03
 2.51862808e+03
 2.51863704e+03
 2.51831834e+03
 2.51779251e+03
 2.51705599e+03
 2.51598487e+03
 2.51568289e+03
 2.51621541e+03
 2.51599783e+03
 2.51557899e+03
 2.51566408e+03
 2.51534093e+03
 2.51454303e+03
 2.51424295e+03
 2.51399167e+03
 2.51373659e+03
 2.51395672e+03
 2.51446584e+03
 2.51475750e+03
 2.51473071e+03
 2.51451407e+03
 2.51443353e+03
 2.51442077e+03
 2.51414383e+03
 2.51386477e+03
 2.51363594e+03
 2.51388480e+03
 2.51393881e+03
 2.51364678e+03
 2.51369174e+03
 2.51380233e+03
 2.51406592e+03
 2.51408563e+03
 2.51399842e+03
 2.51381542e+03
 2.51343387e+03
 2.51340582e+03
 2.51341018e+03
 2.51328765e+03
 Inf
 2.51327501e+03
 2.51327578e+03
 Inf
 Inf
 2.51329350e+03
 2.51329880e+03
 2.51327998e+03
 2.51328110e+03
 2.51327474e+03
 Inf
 2.51327424e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.06440564e+287
 Inf
 1.60690712e+292
 1.09800199e+187
 5.04535657e+185
 6.44388949e+180
 3.73641630e+241
 Inf
 1.61552916e+164
 2.11047315e+137
 5.68002226e+144
 2.24810086e+126
 1.00233045e+121
 7.02135477e+129
 6.50441431e+116
 9.74169559e+108
 2.38082055e+101
 3.28145296e+88
 1.18689036e+90
 7.37677959e+95
 6.32521393e+98
 1.10731368e+95
 1.07777411e+94
 1.99466794e+94
 2.15374239e+105
 1.08544033e+123
 3.40560334e+109
 8.06456163e+112
 1.87666859e+131
 7.23098328e+142
 1.08328765e+199
 2.64860035e+193
 8.18472202e+184
 7.63404715e+290
 3.29069209e+291
 2.30933098e+254
 3.68499130e+161
 2.85931545e+127
 1.57594574e+135
 1.82023324e+140
 4.25606887e+138
 9.28595847e+123
 1.00170079e+121
 2.02089380e+107
 3.19032783e+93
 2.22775922e+97
 1.19866664e+127
 2.73797958e+172
 3.71113930e+160
 1.57445019e+148
 5.69978172e+137
 2.77162573e+109
 1.97138474e+113
 1.56061304e+159
 1.11395232e+138
 8.34157718e+107
 1.19871061e+110
 9.16251526e+117
 1.10462591e+146
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