2.63713913e+48
 1.25624321e+50
 2.25736064e+48
 2.30675609e+45
 4.43197000e+45
 9.91223821e+45
 5.58775801e+50
 6.11868160e+55
 2.39788722e+55
 2.00231790e+51
 9.87758202e+50
 2.08674605e+51
 1.65854878e+49
 4.18689564e+52
 1.19007927e+58
 5.32004978e+58
 2.36585908e+47
 1.16243789e+43
 2.21924567e+45
 9.56607849e+45
 3.44734478e+43
 9.95066345e+41
 9.92651070e+42
 1.35520942e+44
 8.59435541e+44
 4.80447697e+47
 1.07508602e+51
 7.40462734e+48
 1.09867680e+52
 1.58144372e+55
 3.73306979e+51
 1.22987682e+51
 3.02754539e+52
 1.62607994e+54
 4.01098489e+52
 2.66552704e+53
 1.10245336e+52
 3.18518773e+47
 2.43648636e+48
 5.35832447e+46
 2.41304126e+42
 2.23597830e+41
 4.57061944e+45
 3.44634320e+49
 1.92990863e+48
 1.35842654e+48
 2.48721490e+49
 1.99388063e+51
 4.99580236e+53
 1.12834604e+51
 2.11691056e+49
 6.43249704e+49
 4.86719472e+51
 1.74538074e+59
 6.45770078e+59
 4.89718765e+51
 2.93798782e+49
 9.30681370e+52
 2.08983449e+59
 3.58568500e+56
 2.22453307e+59
 1.81722312e+68
 4.14601468e+62
 1.69002504e+58
 6.20639787e+59
 9.50490566e+60
 5.11424403e+63
 1.39670312e+80
 3.71883922e+81
 1.13044562e+80
 3.51473326e+78
 4.81261701e+63
 3.80225187e+58
 1.22797822e+59
 7.65697661e+58
 8.48758284e+57
 5.86267533e+63
 3.16075337e+63
 1.26903911e+58
 1.38927136e+61
 2.01246603e+67
 3.76412945e+67
 1.32837045e+68
 7.05582562e+67
 4.22525012e+64
 1.82787221e+63
 9.04373478e+61
 8.93414208e+60
 2.67942755e+58
 9.05979795e+56
 3.06807659e+57
 1.16625466e+55
 7.73645272e+52
 1.94523310e+55
 6.71339193e+53
 1.15123581e+54
 2.58876858e+57
 8.97613770e+57
 5.70238997e+57
 1.00629680e+58
 8.11571395e+58
 1.01129447e+60
 9.02617435e+61
 1.15096931e+61
 1.57584430e+57
 3.27832532e+55
 1.04428067e+54
 1.26475547e+52
 2.97973675e+51
 2.35664285e+47
 3.24074905e+43
 8.11667764e+41
 4.74933952e+233
 2.51998718e+03
 2.52262904e+03
 2.52387684e+03
 2.52868095e+03
 2.53068762e+03
 2.52691564e+03
 2.52027869e+03
 2.51878463e+03
 2.52175978e+03
 2.51929467e+03
 2.51564895e+03
 2.51484848e+03
 2.51934372e+03
 2.52937581e+03
 2.54088440e+03
 2.54291504e+03
 2.52953507e+03
 2.52249983e+03
 2.52032657e+03
 2.52129106e+03
 2.52640681e+03
 2.52910670e+03
 2.51871896e+03
 Inf
 5.53618324e+61
 6.87649125e+37
 5.54320680e+35
 8.22413473e+35
 1.05861724e+36
 1.40612682e+38
 1.83168507e+40
 4.39503812e+38
 1.92591342e+36
 6.02350435e+38
 1.02282520e+40
 3.49906400e+40
 4.14405028e+43
 8.36558960e+43
 6.44055570e+41
 1.57493539e+43
 8.88049216e+44
 2.85328919e+43
 8.85579708e+41
 2.74907676e+40
 2.04293472e+40
 1.83579702e+40
 1.21368306e+39
 6.50619156e+38
 1.70738541e+38
 7.65843983e+39
 1.42321958e+41
 2.21575981e+40
 1.48358850e+40
 7.78921184e+36
 1.15648636e+35
 4.96486439e+35
 2.64925161e+36
 3.78364857e+37
 4.38282055e+38
 1.99015253e+41
 1.40828551e+40
 3.43511873e+39
 2.97380300e+40
 1.52389214e+40
 4.00819011e+40
 1.21763811e+42
 7.68761497e+39
 8.98068656e+35
 3.02002000e+36
 2.58567243e+35
 6.50609989e+34
 2.99997601e+37
 2.10839231e+39
 1.48284224e+39
 1.86697451e+37
 9.27892057e+36
 1.28221594e+36
 8.12797441e+33
 3.42298683e+33
 4.00102756e+32
 1.08181672e+32
 1.39512965e+33
 6.23830197e+34
 2.66388052e+34
 2.34552967e+33
 9.22889576e+33
 8.73327632e+33
 9.66551174e+32
 4.02765918e+31
 1.08294288e+30
 8.12351747e+29
 1.86883788e+29
 9.84403653e+27
 5.88705755e+27
 5.34346849e+27
 1.59272445e+28
 1.87559761e+28
 1.82995999e+28
 1.01776464e+30
 7.01950309e+30
 3.37121546e+30
 9.67441064e+30
 5.68929369e+30
 2.45608149e+29
 2.02661491e+28
 7.92903812e+28
 8.96071655e+29
 2.89191978e+29
 1.94500002e+29
 1.10859531e+31
 9.78275052e+31
 2.91182310e+30
 9.57010174e+28
 6.03121887e+29
 7.89453424e+29
 3.75786631e+29
 9.80967528e+30
 3.92408989e+31
 1.59645072e+30
 8.55714330e+30
 5.36133057e+31
 1.74281349e+31
 2.16794618e+31
 1.80480472e+32
 5.34571238e+32
 1.03511449e+33
 1.44718071e+33
 8.25202938e+32
 2.14061056e+33
 1.17487458e+35
 6.29639754e+37
 5.59809896e+39
 1.73122928e+41
 7.95524638e+40
 5.72278855e+41
 8.34231107e+41
 5.19496885e+44
 9.89900685e+54
 8.42475010e+55
 6.39573043e+53
 2.31994050e+56
 2.67171632e+58
 3.61473813e+63
 3.92536130e+64
 1.13246302e+58
 1.33225634e+57
 2.16348726e+55
 9.02049343e+49
 2.73572462e+47
 1.16710691e+45
 1.12526217e+43
 3.91107040e+40
 2.67215051e+40
 1.25362408e+42
 3.14084042e+41
 4.99012603e+40
 5.71779337e+40
 2.34210714e+39
 2.72620009e+39
 2.09655817e+40
 4.23251861e+40
 3.61629683e+41
 2.64780181e+41
 1.78197026e+43
 1.56769308e+46
 1.69347236e+45
 4.25431980e+42
 9.65672893e+41
 5.25457378e+41
 2.34416148e+39
 6.10166377e+36
 1.26893674e+37
 2.50394146e+38
 3.08231297e+37
 1.18052346e+35
 3.42790100e+33
 4.41526997e+33
 8.56947950e+33
 2.18203189e+33
 3.80049468e+32
 6.93062775e+32
 4.30404268e+34
 2.08920058e+36
 4.14364480e+35
 2.53272372e+35
 9.52184298e+35
 1.08345832e+37
 3.43149592e+38
 3.09497659e+39
 6.73153485e+40
 7.64014399e+41
 4.29824565e+41
 3.32781629e+43
 8.90097125e+45
 1.02736738e+46
 3.33687525e+46
 2.01839054e+46
 5.36627112e+43
 7.66058488e+41
 5.37051988e+44
 1.83186669e+50
 6.38663316e+52
 8.09578081e+52
 2.51505981e+58
 1.07204661e+69
 6.69340673e+75
 1.87565508e+77
 2.92030891e+84
 3.18675618e+90
 1.90249640e+88
 1.47861006e+99
 2.48927911e+116
 3.18523216e+104
 6.91616082e+86
 2.87115632e+92
 7.81145576e+109
 1.57427895e+128
 5.25381495e+108
 7.96405892e+84
 6.75741371e+104
 1.36865809e+133
 4.79706182e+119
 1.58044488e+113
 1.02204668e+122
 1.29393650e+121
 9.75273413e+108
 8.38780768e+101
 5.89163891e+99
 7.45068591e+87
 6.63934566e+73
 5.07845948e+70
 5.62586499e+69
 2.05899827e+75
 1.65328974e+100
 7.82633367e+135
 5.16608132e+166
 3.73451445e+167
 3.14120987e+154
 7.38183224e+190
 1.58745890e+264
 Inf
 Inf
 1.66288126e+229
 7.02956400e+187
 5.31775680e+301
 Inf
 2.51332871e+03
 2.51327495e+03
 Inf
 9.72984579e+159
 1.70470479e+126
 3.72821988e+119
 1.02880506e+131
 2.05330205e+205
 4.52394645e+287
 5.58188929e+264
 2.61662372e+140
 2.39374281e+149
 2.63218122e+275
 Inf
 Inf
 Inf
 2.83953531e+202
 2.31510605e+253
 Inf
 Inf
 2.35859402e+177
 6.54660072e+201
 1.54134079e+294
 6.23351667e+277
 1.89726688e+220
 6.99723145e+274
 1.57084987e+280
 6.97726488e+230
 1.05217355e+226
 7.43701100e+235
 2.23965428e+239
 Inf
 2.51342913e+03
 2.51383312e+03
 2.51414942e+03
 2.51425475e+03
 2.51471658e+03
 2.51546277e+03
 2.51615445e+03
 2.51574479e+03
 2.51447672e+03
 2.51350377e+03
 2.51330474e+03
 2.51347251e+03
 2.51333640e+03
 2.51327690e+03
 2.51334726e+03
 2.51333890e+03
 Inf
 7.58592109e+235
 Inf
 2.51330303e+03
 2.51339315e+03
 2.51331210e+03
 2.51327843e+03
 2.51327427e+03
 Inf
 7.64869747e+283
 Inf
 2.51337661e+03
 2.51346637e+03
 2.51369433e+03
 2.51432484e+03
 2.51502530e+03
 2.51543058e+03
 2.51406238e+03
 2.51334618e+03
 2.51328143e+03
 2.51328093e+03
 2.51331526e+03
 2.51330136e+03
 2.51330544e+03
 2.51328523e+03
 2.51330440e+03
 2.51333297e+03
 2.51332825e+03
 2.51335273e+03
 2.51327983e+03
 Inf
 Inf
 Inf
 2.51327479e+03
 2.51329057e+03
 2.51332461e+03
 2.51353325e+03
 2.51370081e+03
 2.51360321e+03
 2.51388791e+03
 2.51415128e+03
 2.51402746e+03
 2.51387244e+03
 2.51377664e+03
 2.51387397e+03
 2.51350952e+03
 2.51342992e+03
 2.51372717e+03
 2.51385717e+03
 2.51361938e+03
 2.51340438e+03
 2.51343786e+03
 2.51332024e+03
 2.51327479e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.29660598e+206
 3.00120036e+242
 Inf
 3.20005706e+284
 Inf
 6.28158933e+239
 4.20326222e+123
 4.94187772e+90
 1.19265977e+96
 1.17371483e+128
 5.04877096e+142
 6.00302241e+141
 2.91397596e+119
 6.25970237e+102
 2.43683916e+95
 2.75561017e+91
 1.19106086e+110
 1.27843641e+140
 9.15864266e+126
 8.10362295e+112
 4.01389307e+136
 5.25621541e+145
 1.63095205e+172
 1.03039519e+235
 6.43499383e+228
 2.18368956e+178
 7.45847752e+148
 4.26698703e+151
 1.07917308e+119
 2.46953827e+107
 3.75110225e+127
 2.90501625e+92
 2.09834217e+69
 7.98541794e+77
 8.71628566e+82
 6.97202494e+84
 6.27422127e+95
 1.10619465e+95
 4.36355911e+87
 1.22469960e+76
 7.16919501e+70
 2.97712187e+65
 6.78670048e+57
 5.37954044e+58
 9.01873147e+61
 2.56105921e+64
 6.95883936e+64
 2.39013187e+64
 1.34447707e+58
 3.77532371e+49
 1.48875744e+50
 3.18612628e+49
 1.15579702e+50
 2.18817872e+52
 1.51731874e+52
 6.61791503e+52
 2.48245023e+50
 4.64450517e+54
 1.22461355e+59
 3.18534933e+58
 6.32815248e+54
 4.68984340e+56
 1.90493254e+65
 8.67570396e+65
 1.42449294e+58
 5.49666296e+59
 5.11017520e+63
 5.34097795e+65
 3.65319583e+76
 3.31939499e+87
 2.71056103e+94
 2.08835660e+99
 7.05195228e+92
 6.04835593e+86
 1.40285270e+84
 5.43959717e+82
 2.23813583e+87
 2.87176178e+92
 3.70385782e+94
 5.30948398e+83
 2.46383608e+76
 5.37496978e+78
 1.39795862e+84
 7.61360998e+83
 6.74085172e+83
 6.73507478e+85
 1.37045444e+92
 5.28332673e+110
 8.86069809e+127
 1.17160389e+139
 1.23979457e+134
 9.12960734e+139
 3.36600924e+147
 1.72040335e+130
 1.60940767e+127
 1.56552078e+111
 3.18062597e+104
 2.22243638e+126
 1.06140467e+148
 5.68156377e+130
 2.32863266e+134
 7.79147458e+149
 1.22051599e+142
 1.91430132e+174
 1.88904708e+208
 4.32765073e+196
 9.42431978e+169
 7.93205656e+172
 2.04615032e+181
 8.83021243e+208
 7.21505460e+254
 3.70063035e+181
 1.08040379e+147
 3.37714086e+169
 8.26885821e+144
 3.04131077e+115
 7.19718810e+117
 6.01935266e+134
 7.09040437e+123
 1.57428641e+135
 1.57280494e+159
 2.27763950e+119
 9.18842168e+117
 1.26859687e+130
 5.02644921e+127
 5.59874399e+136
 1.23910932e+134
 2.39481040e+114
 8.36582048e+99
 8.51163731e+80
 7.82983583e+70
 1.64035386e+76
 2.71549415e+76
 1.48847458e+76
 2.75514922e+86
 1.49403495e+81
 2.43934205e+85
 9.10872658e+123
 7.61031088e+145
 1.59483246e+124
 3.72103859e+111
 1.55828247e+116
 7.42505806e+106
 6.99636314e+101
 2.27906476e+96
 1.67979472e+81
 7.26101893e+69
 2.08027832e+69
 1.94862028e+79
 9.36357120e+81
 1.50639250e+87
 6.76509987e+104
 1.02336370e+131
 2.53541628e+164
 3.96566425e+276
 Inf
 4.42585234e+282
 6.70611683e+173
 7.46891087e+168
 2.03102201e+180
 1.62415335e+127
 9.98449645e+99
 7.48262631e+102
 3.18279444e+94
 1.29983406e+103
 9.18861586e+123
 1.50367964e+93
 2.84508010e+95
 1.31748633e+122
 3.84579408e+153
 5.81074786e+186
 1.14875726e+180
 1.63210804e+129
 3.20605800e+105
 2.49537044e+116
 5.72896278e+105
 6.03447286e+96
 3.70149269e+93
 6.52274082e+90
 3.87083637e+92
 8.97989751e+84
 9.88477331e+85
 1.50784836e+106
 6.36169278e+109
 1.48216956e+110
 8.28559121e+107
 5.84300185e+101
 6.93226164e+105
 1.01922490e+104
 1.19403115e+109
 8.36915852e+96
 1.48215174e+104
 3.86856811e+129
 1.88625011e+131
 6.36852623e+151
 4.67445062e+204
 2.87503929e+224
 8.63303265e+188
 3.19582605e+201
 1.18101170e+179
 8.28140884e+144
 1.31231721e+144
 2.84516291e+151
 5.82310574e+160
 2.97750173e+141
 2.39841092e+114
 5.11783317e+140
 9.31639187e+169
 2.68156518e+158
 1.70709509e+134
 5.04991933e+134
 1.23632406e+157
 4.21813211e+130
 6.69225259e+127
 8.25491238e+116
 1.19324247e+115
 3.98006447e+132
 2.80407193e+120
 7.52437641e+114
 1.08907301e+123
 2.81626778e+128
 3.20261397e+125
 8.30231469e+134
 4.41578646e+184
 1.10260392e+196
 2.42455155e+278
 1.05563803e+287
 9.82215455e+174
 5.74121167e+202
 3.80029041e+268
 1.81133062e+298
 Inf
 Inf
 2.51327548e+03
 2.51342524e+03
 2.51372450e+03
 2.51417754e+03
 2.51488608e+03
 2.51563674e+03
 2.51677899e+03
 2.51749752e+03
 2.51798483e+03
 2.51931447e+03
 2.52150717e+03
 2.52237389e+03
 2.52270677e+03
 2.52254712e+03
 2.52397970e+03
 2.52369982e+03
 2.52114592e+03
 2.52178788e+03
 2.52166036e+03
 2.52313816e+03
 2.52319014e+03
 2.52128035e+03
 2.52306303e+03
 2.52518326e+03
 2.52440563e+03
 2.52401306e+03
 2.52583645e+03
 2.52498369e+03
 2.52371491e+03
 2.52342910e+03
 2.52254789e+03
 2.52088051e+03
 2.52032134e+03
 2.52173667e+03
 2.52203583e+03
 2.52185821e+03
 2.52208127e+03
 2.52085843e+03
 2.51855787e+03
 2.51907189e+03
 2.51982838e+03
 2.51821609e+03
 2.51793359e+03
 2.51936824e+03
 2.51912912e+03
 2.51826048e+03
 2.51777573e+03
 2.51749750e+03
 2.51699820e+03
 2.51733934e+03
 2.51708682e+03
 2.51629787e+03
 2.51683488e+03
 2.51570749e+03
 2.51535822e+03
 2.51605069e+03
 2.51518668e+03
 2.51415873e+03
 2.51396830e+03
 2.51413642e+03
 2.51419084e+03
 2.51440161e+03
 2.51495495e+03
 2.51484580e+03
 2.51489106e+03
 2.51557596e+03
 2.51520871e+03
 2.51529532e+03
 2.51521981e+03
 2.51467156e+03
 2.51480374e+03
 2.51522263e+03
 2.51592951e+03
 2.51654482e+03
 2.51612401e+03
 2.51661699e+03
 2.51624614e+03
 2.51444208e+03
 2.51405010e+03
 2.51448107e+03
 2.51547160e+03
 2.51506223e+03
 2.51468099e+03
 2.51496782e+03
 2.51452961e+03
 2.51428649e+03
 2.51412907e+03
 2.51431466e+03
 2.51523375e+03
 2.51583961e+03
 2.51601787e+03
 2.51672702e+03
 2.51675835e+03
 2.51496268e+03
 2.51429250e+03
 2.51408373e+03
 2.51373795e+03
 2.51348329e+03
 2.51370340e+03
 2.51377806e+03
 2.51352026e+03
 2.51354345e+03
 2.51393878e+03
 2.51604411e+03
 2.51583255e+03
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 2.51331327e+03
 Inf
 2.51327465e+03
 2.51329491e+03
 2.51328789e+03
 2.51329322e+03
 2.51327650e+03
 Inf
 Inf
 Inf
 Inf
 2.51329268e+03
 2.51333992e+03
 2.51329636e+03
 2.51328362e+03
 2.51332197e+03
 2.51329636e+03
 2.51329519e+03
 2.51330580e+03
 Inf
 Inf
 2.51328045e+03
 2.51327514e+03
 Inf
 2.51327490e+03
 2.51328982e+03
 2.51335668e+03
 2.51331982e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327414e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327520e+03
 2.51327441e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327416e+03
 2.51329032e+03
 2.51331526e+03
 2.51328720e+03
 2.51327507e+03
 2.51327435e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328267e+03
 Inf
 Inf
 2.51327650e+03
 2.51331446e+03
 2.51333443e+03
 2.51329519e+03
 Inf
 Inf
 2.51327429e+03
 2.51327501e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329007e+03
 2.51328908e+03
 2.51327733e+03
 Inf
 Inf
 Inf
 2.51327448e+03
 Inf
 Inf
 2.51327414e+03
 2.51327968e+03
 Inf
 Inf
 2.51327460e+03
 Inf
 Inf
 2.51327465e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327595e+03
 2.51329636e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.59720993e+264
 1.91478966e+208
 1.88077958e+220
 Inf
 Inf
 1.47318042e+237
 4.43773074e+205
 8.10889175e+232
 6.18272031e+277
 2.59057071e+278
 Inf
 Inf
 3.75855092e+304
 1.40392642e+303
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327415e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327435e+03
 2.51327432e+03
 Inf
 Inf
 Inf
 Inf
 2.51327548e+03
 Inf
 Inf
 2.51336548e+03
 2.51382719e+03
 2.51373387e+03
 2.51355705e+03
 2.51365901e+03
 2.51378229e+03
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 2.51359867e+03
 2.51369950e+03
 2.51392107e+03
 2.51371785e+03
 2.51336488e+03
 2.51328267e+03
 Inf
 3.95553547e+289
 Inf
 2.51328045e+03
 2.51327911e+03
 2.51341686e+03
 2.51373524e+03
 2.51353935e+03
 2.51328143e+03
 2.51331094e+03
 2.51336608e+03
 2.51348329e+03
 Inf
 5.26080904e+96
 7.46397537e+114
 3.99160712e+183
 Inf
 Inf
 8.97952331e+207
 4.96766064e+152
 5.22429536e+126
 5.23443022e+129
 1.86231375e+106
 8.34667234e+99
 2.92351011e+141
 7.44003947e+132
 Inf
 2.51328461e+03
 2.81577474e+275
 5.40855447e+301
 1.20730213e+232
 5.54150743e+264
 Inf
 Inf
 2.51327578e+03
 2.51328110e+03
 Inf
 Inf
 2.51330832e+03
 2.51362643e+03
 2.51347429e+03
 2.51340366e+03
 2.51365778e+03
 Inf
 1.21544763e+182
 1.47439058e+176
 3.18758110e+201
 2.01981112e+187
 3.20265310e+166
 3.79454122e+178
 2.24542232e+183
 3.43436615e+261
 Inf
 Inf
 9.29407208e+271
 1.05479917e+287
 Inf
 2.51328077e+03
 Inf
 Inf
 4.79246422e+204
 4.75821970e+124
 4.27192112e+108
 4.42142028e+117
 2.11940992e+143
 2.75231891e+172
 2.04595604e+181
 8.09203032e+156
 1.89630915e+144
 1.21215894e+171
 1.55180297e+277
 2.54530308e+251
 Inf
 2.51329696e+03
 Inf
 Inf
 2.51337918e+03
 2.51344767e+03
 2.51339730e+03
 2.51345016e+03
 2.51334833e+03
 2.51328836e+03
 2.51329032e+03
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 2.51372851e+03
 2.51367649e+03
 2.51410714e+03
 2.51400008e+03
 2.51377664e+03
 2.51333640e+03
 Inf
 2.51333201e+03
 2.51359416e+03
 2.51347966e+03
 2.51331772e+03
 2.51381395e+03
 2.51389735e+03
 2.51337982e+03
 2.51346636e+03
 2.51336912e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.26507086e+247
 Inf
 Inf
 2.51328304e+03
 2.51333106e+03
 2.51033466e+03
 Inf
 Inf
 Inf
 2.51332240e+03
 2.51332066e+03
 Inf
 Inf
 2.51334618e+03
 2.51329241e+03
 Inf
 2.51329214e+03
 2.51330071e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327444e+03
 Inf
 Inf
 Inf
 2.51327413e+03
 2.51327484e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328957e+03
 Inf
 Inf
 Inf
 Inf
 2.51327412e+03
 2.51343070e+03
 2.51359304e+03
 2.51339800e+03
 Inf
 Inf
 Inf
 Inf
 2.51328957e+03
 2.51327817e+03
 2.51328045e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327413e+03
 Inf
 Inf
 2.51330580e+03
 2.51366397e+03
 2.51380235e+03
 2.51388792e+03
 2.51371257e+03
 2.51353731e+03
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 2.51339940e+03
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 2.51333890e+03
 2.51328697e+03
 2.51327733e+03
 Inf
 2.51330405e+03
 2.51356451e+03
 2.51346375e+03
 2.51334250e+03
 2.51329578e+03
 2.51143981e+03
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 2.51330651e+03
 2.51329214e+03
 2.51331327e+03
 2.51330405e+03
 2.51327416e+03
 Inf
 2.51327501e+03
 2.51327998e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327495e+03
 2.51327690e+03
 Inf
 Inf
 2.51328061e+03
 2.51327843e+03
 2.51327570e+03
 2.51327441e+03
 Inf
 2.51327563e+03
 Inf
 Inf
 2.56346012e+251
 4.04514777e+227
 4.03178701e+216
 7.04508725e+224
 4.25843967e+225
 1.35641180e+173
 2.51403462e+145
 1.22801244e+178
 1.02519478e+212
 8.87941837e+208
 1.43243459e+246
 1.35837963e+263
 5.41348649e+236
 6.75127549e+265
 Inf
 1.82395957e+298
 3.44505895e+295
 Inf
 Inf
 8.58416104e+258
 1.99441702e+288
 Inf
 Inf
 Inf
 2.51327745e+03
 2.51327555e+03
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 2.51336729e+03
 2.51336658e+03
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 2.51482851e+03
 2.51605730e+03
 2.51696002e+03
 2.51811074e+03
 2.51805118e+03
 2.51517024e+03
 2.51374202e+03
 2.51481119e+03
 2.51815014e+03
 2.51748040e+03
 2.51481615e+03
 2.51401033e+03
 2.51486590e+03
 2.51565819e+03
 2.51408909e+03
 2.51343228e+03
 2.51350855e+03
 2.51352224e+03
 2.51349062e+03
 2.51352821e+03
 2.51336190e+03
 2.51332240e+03
 2.51336973e+03
 2.51330440e+03
 2.51342913e+03
 2.51358522e+03
 2.51334302e+03
 2.51327711e+03
 2.51354450e+03
 2.51403961e+03
 2.51381540e+03
 2.51444422e+03
 2.51436380e+03
 2.51337918e+03
 2.51336549e+03
 2.51336015e+03
 2.51341611e+03
 2.51342680e+03
 2.51327452e+03
 2.51328178e+03
 2.51332240e+03
 Inf
 Inf
 2.51343466e+03
 2.51346465e+03
 Inf
 1.47792984e+161
 1.08085177e+119
 4.77997340e+119
 4.52304706e+107
 1.24383533e+108
 2.78895464e+121
 3.99210017e+118
 1.01053307e+113
 3.18802162e+125
 8.40943794e+166
 1.69868994e+153
 2.18560046e+105
 4.72562039e+114
 3.50275699e+133
 8.41569965e+96
 3.66100109e+97
 1.76131848e+99
 1.45717525e+88
 5.69694001e+100
 9.01910332e+106
 7.10483500e+96
 1.15631885e+97
 6.92014076e+105
 1.51960399e+95
 2.83443248e+101
 8.52528640e+88
 4.79666342e+69
 1.03326577e+73
 1.56104146e+90
 3.15706629e+125
 1.69209078e+126
 7.15844528e+111
 4.14500687e+112
 4.12191990e+123
 3.42272725e+146
 5.67984919e+130
 2.91881720e+137
 2.03005302e+169
 1.60114109e+124
 1.01923517e+108
 6.30708795e+131
 2.02640401e+169
 Inf
 Inf
 8.46475240e+222
 Inf
 Inf
 Inf
 Inf
 1.19448301e+224
 8.85444509e+207
 1.24324489e+178
 1.70374435e+155
 1.00838347e+121
 2.14168998e+112
 7.31170896e+125
 1.94249791e+111
 2.74879450e+103
 1.25312737e+111
 7.50911906e+102
 1.08363310e+103
 9.13937380e+117
 6.08374231e+121
 1.20914592e+102
 7.40893933e+95
 2.37602531e+115
 3.09520601e+113
 7.24740487e+140
 7.35208103e+190
 2.31818463e+147
 4.59222373e+157
 4.34226325e+170
 7.84842835e+136
 2.17120949e+129
 1.03171422e+131
 2.30164609e+148
 5.12981821e+191
 7.95025196e+219
 3.87157816e+163
 6.52561847e+201
 8.52415835e+242
 1.63187760e+229
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51332110e+03
 2.51335162e+03
 2.51332024e+03
 2.51333890e+03
 2.51334198e+03
 2.51346117e+03
 2.51336487e+03
 Inf
 2.51328932e+03
 2.51327490e+03
 2.51327465e+03
 2.51333640e+03
 2.51336309e+03
 2.51338047e+03
 2.51340726e+03
 2.51345267e+03
 2.51334406e+03
 2.51334303e+03
 2.51356343e+03
 2.51352222e+03
 2.51330981e+03
 2.51334725e+03
 2.51332641e+03
 2.51328932e+03
 2.51336912e+03
 2.51333443e+03
 2.51327701e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.44607256e+280
 9.06735146e+206
 1.37318795e+269
 4.36843859e+282
 1.08698666e+238
 2.90098803e+214
 8.30420386e+222
 2.06149863e+171
 2.77493235e+202
 4.00782271e+276
 Inf
 Inf
 Inf
 Inf
 3.52725141e+261
 5.73652138e+213
 Inf
 Inf
 4.43203556e+210
 4.92531346e+217
 7.22678940e+254
 1.04565284e+235
 1.45190179e+219
 7.43487950e+183
 1.91583699e+209
 6.78237455e+197
 2.87695990e+175
 1.70157097e+240
 3.06543996e+189
 2.56865786e+164
 2.67359659e+302
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51332871e+03
 2.51359079e+03
 2.51379945e+03
 2.51429449e+03
 2.51478180e+03
 2.51450520e+03
 2.51408372e+03
 2.51434324e+03
 2.51468099e+03
 2.51451847e+03
 2.51435564e+03
 2.51398998e+03
 2.51370732e+03
 2.51361939e+03
 2.51343546e+03
 2.51350092e+03
 2.51353732e+03
 2.51347252e+03
 2.51350187e+03
 2.51334198e+03
 2.51332918e+03
 2.51335841e+03
 2.51329636e+03
 2.51328587e+03
 2.51327925e+03
 2.51334043e+03
 2.51332964e+03
 2.51327469e+03
 2.51330795e+03
 2.51331607e+03
 Inf
 Inf
 Inf
 8.48280943e+266
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51336073e+03
 2.51345100e+03
 2.51327422e+03
 2.51327490e+03
 Inf
 Inf
 Inf
 2.73851459e+275
 7.82883256e+251
 2.55400084e+228
 2.34781255e+256
 1.93287361e+207
 6.11655926e+159
 8.25441278e+144
 4.15217510e+158
 9.25701003e+205
 2.09313953e+205
 1.24279549e+178
 1.14713297e+181
 3.57012347e+142
 9.64392648e+113
 2.16487546e+120
 1.30333144e+144
 1.10757498e+155
 7.43958539e+168
 7.04255726e+192
 6.18712173e+163
 4.06497724e+116
 9.04397207e+102
 3.34243708e+106
 5.73610547e+100
 1.36398583e+97
 8.18500425e+92
 9.91100865e+97
 7.50256276e+98
 1.88773794e+86
 1.27758187e+86
 7.46620695e+98
 3.37139718e+100
 9.82925230e+96
 6.97367029e+103
 1.68138417e+134
 6.03112098e+159
 4.14099345e+209
 1.02823445e+261
 Inf
 2.51328126e+03
 2.51328812e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.73434593e+230
 1.05358585e+282
 1.20702974e+203
 2.32911361e+162
 1.01366610e+159
 1.57397307e+148
 6.18386136e+119
 1.65925207e+96
 6.43445916e+116
 7.32246835e+125
 7.63009424e+130
 9.55716941e+151
 2.73259772e+144
 4.40434207e+143
 3.54907887e+149
 6.18538711e+119
 2.02027185e+107
 2.93339965e+141
 3.62439192e+145
 2.17261643e+138
 3.12067385e+154
 6.07498719e+134
 1.10092220e+158
 1.48797048e+185
 1.91596381e+151
 4.59651963e+157
 5.76533203e+161
 9.18469346e+139
 3.62122740e+120
 2.17188429e+105
 1.17644701e+98
 8.83060516e+111
 1.01324135e+111
 5.98240690e+120
 2.28343333e+147
 5.18279639e+166
 4.85064325e+245
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.79443941e+204
 5.05985960e+185
 9.92292139e+163
 5.99575100e+138
 1.70020663e+134
 9.12991919e+139
 2.13347109e+143
 7.25655350e+147
 1.33811717e+122
 3.41875905e+101
 5.89079615e+99
 3.30029507e+103
 1.01843028e+104
 1.08097203e+94
 2.24810086e+87
 2.08214192e+99
 3.83307571e+104
 1.05708768e+99
 4.79573164e+103
 1.24808163e+106
 6.81583538e+104
 1.47023147e+109
 5.72734186e+111
 5.20989874e+129
 7.31021087e+146
 1.31295538e+144
 2.03275929e+171
 1.26644424e+273
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328461e+03
 2.51335329e+03
 2.51348694e+03
 2.51378229e+03
 2.51413829e+03
 2.51388635e+03
 2.51385567e+03
 2.51411806e+03
 2.51416254e+03
 2.51409448e+03
 2.51384507e+03
 2.51386471e+03
 2.51387245e+03
 2.51390675e+03
 2.51441431e+03
 2.51419650e+03
 2.51401545e+03
 2.51440371e+03
 2.50208836e+03
 2.51456100e+03
 2.51491396e+03
 2.51555491e+03
 2.51652324e+03
 2.51594887e+03
 2.51560932e+03
 2.51589390e+03
 2.51632562e+03
 2.51600774e+03
 2.51475262e+03
 2.51414942e+03
 2.51363953e+03
 2.51329378e+03
 Inf
 Inf
 Inf
 4.53602536e+199
 1.01361551e+168
 3.54688193e+133
 4.68895453e+131
 6.40054065e+214
 3.84953940e+289
 1.05907289e+226
 Inf
 Inf
 Inf
 7.41464825e+255
 Inf
 Inf
 2.51329214e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330615e+03
 2.51327533e+03
 Inf
 Inf
 1.05655175e+261
 Inf
 Inf
 8.36646990e+250
 1.39415099e+303
 7.32065421e+292
 8.45084235e+266
 1.04377278e+276
 3.94341353e+234
 1.28601614e+214
 2.68181064e+275
 8.84870725e+298
 Inf
 Inf
 1.85371091e+270
 3.44215312e+272
 2.02065971e+223
 7.45514546e+252
 1.02385158e+306
 1.58898216e+277
 Inf
 Inf
 Inf
 2.51327595e+03
 2.51334459e+03
 2.51338308e+03
 2.51340081e+03
 2.51340438e+03
 2.51349903e+03
 2.51334726e+03
 2.51328461e+03
 Inf
 Inf
 7.35373499e+292
 Inf
 Inf
 Inf
 1.14853130e+213
 2.32436493e+147
 7.69359027e+113
 7.69595481e+115
 1.02292315e+122
 1.80461809e+104
 2.95524897e+99
 7.42968292e+88
 3.26722920e+88
 2.66521678e+96
 8.98793465e+89
 9.48385780e+92
 1.40160171e+96
 4.16044062e+99
 1.56760098e+103
 4.80258622e+100
 1.46737693e+105
 6.81394624e+104
 1.08425274e+103
 2.27992730e+96
 3.27628481e+88
 3.15813515e+77
 1.10474412e+71
 3.71237872e+69
 9.60784288e+63
 8.47504245e+61
 3.38137076e+58
 1.77944990e+56
 2.52431601e+52
 1.91185194e+51
 1.66169221e+52
 2.53952508e+53
 9.00624899e+54
 7.40201221e+53
 4.42760246e+54
 1.68243683e+56
 5.16021281e+54
 4.15738474e+47
 1.09100478e+45
 6.65300575e+46
 3.22091065e+46
 1.35503002e+43
 9.40548491e+40
 2.96417478e+41
 1.88764423e+40
 7.63607560e+41
 2.63126332e+45
 6.50123724e+45
 2.16681069e+46
 2.59509681e+51
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 1.43324776e+68
 1.55618120e+71
 2.21576826e+76
 1.57826580e+84
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 3.16722657e+78
 1.05229742e+68
 6.06678645e+57
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 2.20304788e+56
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 4.79446922e+46
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 1.15109023e+44
 3.33105596e+46
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 1.27184480e+46
 1.15654450e+47
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 2.17125108e+48
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 1.79654173e+49
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 1.83488897e+40
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 7.81069557e+37
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 4.63479410e+104
 1.39052648e+98
 2.75819510e+91
 1.47220996e+89
 3.69899543e+94
 4.31136995e+82
 3.32933322e+87
 4.33071376e+96
 3.70136030e+93
 7.10220782e+97
 1.96359211e+116
 3.88588181e+129
 3.61280099e+120
 2.73702273e+117
 7.88808380e+121
 1.93422367e+166
 5.63556302e+169
 3.84540878e+150
 7.26872286e+154
 1.89554071e+144
 3.96117973e+155
 5.09027903e+193
 Inf
 3.53428482e+291
 2.09137773e+154
 9.51387777e+129
 1.18783470e+128
 2.80100640e+120
 1.26395976e+113
 4.73780135e+114
 1.89628491e+103
 3.88738621e+92
 1.55168714e+75
 5.47043217e+72
 4.98432965e+73
 2.10509663e+56
 1.81902123e+47
 6.53200430e+47
 5.81805671e+51
 2.40288748e+52
 1.16191427e+47
 7.28534249e+44
 7.70244159e+46
 1.17372119e+70
 9.69024769e+158
 4.09461277e+137
 2.82686021e+128
 6.58652257e+133
 5.14914782e+140
 5.01501902e+148
 1.59036111e+113
 1.17019051e+118
 1.57141073e+135
 3.62245580e+179
 1.33427963e+177
 5.10154629e+142
 1.19023323e+145
 8.94366294e+127
 2.55633858e+150
 1.33800199e+202
 1.18111914e+179
 7.46240436e+152
 3.60018926e+124
 5.24937043e+108
 1.21349248e+105
 3.16670796e+85
 1.67829980e+78
 5.08826807e+70
 5.40284686e+84
 1.18411975e+109
 1.46356429e+86
 2.82337719e+101
 4.61919101e+120
 7.43371380e+106
 1.36980597e+133
 2.30962875e+130
 2.85194122e+100
 1.64202558e+98
 1.49354371e+93
 1.69094064e+89
 1.11118578e+83
 4.17731056e+81
 4.82813124e+101
 1.36497262e+119
 1.17230021e+118
 3.88812140e+129
 3.39002120e+148
 4.40847658e+143
 2.30943360e+148
 Inf
 Inf
 2.51329757e+03
 2.51329322e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51333154e+03
 2.51332024e+03
 2.51330651e+03
 2.51341091e+03
 2.51349341e+03
 2.51355600e+03
 2.51370340e+03
 2.51375160e+03
 2.51380668e+03
 2.51441643e+03
 2.51445100e+03
 2.51426854e+03
 2.51382718e+03
 2.51336973e+03
 2.51332779e+03
 2.51328523e+03
 2.51327414e+03