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 Inf
 Inf
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 2.51328608e+03
 Inf
 Inf
 2.51328213e+03
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 2.51373389e+03
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 1.72106164e+107
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 5.13817248e+48
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 2.00078358e+35
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 9.79205584e+29
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 2.51511046e+03
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 Inf
 Inf
 2.51329161e+03
 2.51356024e+03
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 2.51338440e+03
 Inf
 2.51327452e+03
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 Inf
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 2.51936329e+03
 2.52241493e+03
 2.52327123e+03
 2.51938298e+03
 2.51845819e+03
 2.52129715e+03
 2.52120362e+03
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 2.52050200e+03
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 2.51581410e+03
 2.51668285e+03
 2.51734362e+03
 2.51664978e+03
 2.51647701e+03
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 2.51731950e+03
 2.51849409e+03
 2.51889249e+03
 2.51977245e+03
 2.51984099e+03
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 2.51880354e+03
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 2.52185315e+03
 2.52001261e+03
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 2.52043201e+03
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 2.52167420e+03
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 2.52137085e+03
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 2.52123045e+03
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 2.52145411e+03
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 2.51498605e+03
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 2.51557182e+03
 2.51593596e+03
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 2.52002357e+03
 2.51858055e+03
 2.51799354e+03
 2.51965624e+03
 2.52227754e+03
 2.52078158e+03
 2.51944230e+03
 2.51921310e+03
 2.51847136e+03
 2.51843756e+03
 2.51953133e+03
 2.51877926e+03
 2.51912498e+03
 2.51928549e+03
 2.51981304e+03
 2.52032626e+03
 2.51853494e+03
 2.51785207e+03
 2.51872351e+03
 2.52034202e+03
 2.52020246e+03
 2.51827379e+03
 2.51766683e+03
 2.52018936e+03
 2.52126981e+03
 2.51969643e+03
 2.51914499e+03
 2.51917567e+03
 2.51827378e+03
 2.51679760e+03
 2.51760821e+03
 2.51995106e+03
 2.52096352e+03
 2.51876542e+03
 2.51762928e+03
 2.51905805e+03
 2.51987451e+03
 2.51927515e+03
 2.51888281e+03
 2.51735555e+03
 2.51577311e+03
 2.51519779e+03
 2.51545385e+03
 2.51662434e+03
 2.51670966e+03
 2.51503317e+03
 2.51494244e+03
 2.51639193e+03
 2.51590991e+03
 2.51541305e+03
 2.51656271e+03
 2.51864510e+03
 2.51830409e+03
 2.51793739e+03
 2.51875610e+03
 2.52174844e+03
 2.51986361e+03
 2.51877036e+03
 2.51829185e+03
 2.51760431e+03
 2.51904376e+03
 2.51975758e+03
 2.51955063e+03
 2.51895350e+03
 2.51943205e+03
 2.51959583e+03
 2.51952635e+03
 2.51970170e+03
 2.51910125e+03
 2.51931884e+03
 2.52104583e+03
 2.52245159e+03
 2.52028899e+03
 2.51892999e+03
 2.52054937e+03
 2.52143919e+03
 2.51820287e+03
 2.51786975e+03
 2.51912527e+03
 2.51820273e+03
 2.51879325e+03
 2.51869952e+03
 2.51873720e+03
 2.51843510e+03
 2.51788170e+03
 2.51951637e+03
 2.52089169e+03
 2.51988920e+03
 2.51792018e+03
 2.51741633e+03
 2.51686513e+03
 2.51671988e+03
 2.51534380e+03
 2.51433917e+03
 2.51529259e+03
 2.51441642e+03
 2.51380668e+03
 2.51452293e+03
 2.51544224e+03
 2.51449640e+03
 2.51470220e+03
 2.51556693e+03
 2.51630140e+03
 2.51671976e+03
 2.51687660e+03
 2.51712592e+03
 2.51802794e+03
 2.51744017e+03
 2.51764960e+03
 2.52027335e+03
 2.51986257e+03
 2.51845777e+03
 2.51908177e+03
 2.52026819e+03
 2.51977697e+03
 2.51789021e+03
 2.49077010e+03
 2.51944213e+03
 2.51924477e+03
 2.51689528e+03
 2.51675394e+03
 2.51911569e+03
 2.51875047e+03
 2.51730349e+03
 2.51784728e+03
 2.51941753e+03
 2.51917722e+03
 2.51850315e+03
 2.51640953e+03
 2.51583648e+03
 2.51669746e+03
 2.51567039e+03
 2.51552819e+03
 2.51684624e+03
 2.51623581e+03
 2.51561538e+03
 2.51574467e+03
 2.51634647e+03
 2.51626294e+03
 2.51476716e+03
 2.51452079e+03
 2.51618482e+03
 2.51578545e+03
 2.51421766e+03
 2.51389575e+03
 2.51361473e+03
 2.51332328e+03
 Inf
 Inf
 2.51332461e+03
 2.51330337e+03
 2.51341536e+03
 2.51342758e+03
 2.51358301e+03
 2.51436600e+03
 2.50127266e+03
 2.51452739e+03
 2.51500952e+03
 2.51435356e+03
 2.51448758e+03
 2.51625308e+03
 2.51634782e+03
 2.51518121e+03
 2.51538098e+03
 2.51586829e+03
 2.51588872e+03
 2.51558804e+03
 2.51514026e+03
 2.51544215e+03
 2.51561238e+03
 2.51527008e+03
 2.51478178e+03
 2.51573548e+03
 2.51642372e+03
 2.51500950e+03
 2.51454754e+03
 2.51523372e+03
 2.51511300e+03
 2.51528696e+03
 2.51552200e+03
 2.51582684e+03
 2.51550112e+03
 2.51487347e+03
 2.51496511e+03
 2.51597831e+03
 2.51658816e+03
 2.51519220e+03
 2.51492170e+03
 2.51573237e+03
 2.51578332e+03
 2.51576666e+03
 2.51689527e+03
 2.51719680e+03
 2.51524209e+03
 2.51460196e+03
 2.51545684e+03
 2.51563386e+03
 2.51574807e+03
 2.51611739e+03
 2.51571367e+03
 2.51386783e+03
 2.51333346e+03
 2.51349062e+03
 2.51334043e+03
 Inf
 Inf
 2.51332328e+03
 2.51372051e+03
 2.51353426e+03
 2.51347967e+03
 2.51467626e+03
 2.51471021e+03
 2.51440583e+03
 2.51457454e+03
 2.51480384e+03
 2.51515659e+03
 2.51454301e+03
 2.51403440e+03
 2.51386478e+03
 2.51423316e+03
 2.51495238e+03
 2.51513494e+03
 2.51476715e+03
 2.51390992e+03
 2.51405355e+03
 2.51480383e+03
 2.51491923e+03
 2.51426854e+03
 2.51406417e+03
 2.51447017e+03
 2.51466925e+03
 2.51433505e+03
 2.51394854e+03
 2.51472373e+03
 2.51480653e+03
 2.51354244e+03
 2.51387550e+03
 2.51512940e+03
 2.51555805e+03
 2.51478909e+03
 2.51430054e+03
 2.51481119e+03
 2.51625653e+03
 2.51660287e+03
 2.51518120e+03
 2.51508934e+03
 2.51722404e+03
 2.51817680e+03
 2.51682744e+03
 2.51835850e+03
 2.52039504e+03
 2.51874203e+03
 2.51781377e+03
 2.51980272e+03
 2.51755877e+03
 2.51546277e+03
 2.51461344e+03
 2.51420996e+03
 2.51432276e+03
 2.51482109e+03
 2.51532386e+03
 2.51521692e+03
 2.51533234e+03
 2.51570752e+03
 2.51577022e+03
 2.51598813e+03
 2.51674553e+03
 2.51788600e+03
 2.51650882e+03
 2.51414755e+03
 Inf
 6.52115577e+280
 1.21967438e+166
 4.10028171e+54
 1.16012064e+42
 1.31587246e+36
 2.79824573e+30
 1.74771877e+29
 1.27676966e+27
 5.54991025e+25
 3.20175807e+25
 1.27867532e+25
 3.38167565e+26
 2.93931736e+26
 2.42418700e+25
 9.85106144e+24
 3.24778036e+24
 4.31648957e+53
 2.51409810e+03
 2.51456578e+03
 2.51426258e+03
 2.51462030e+03
 2.51516206e+03
 2.51474776e+03
 2.51370340e+03
 2.51336912e+03
 2.51386477e+03
 2.51352621e+03
 2.51328267e+03
 2.51331133e+03
 Inf
 Inf
 2.51327422e+03
 Inf
 3.52187662e+295
 Inf
 Inf
 3.92565937e+279
 6.04767963e+221
 2.16056055e+143
 1.40221948e+191
 Inf
 2.51388325e+03
 2.51368025e+03
 Inf
 Inf
 Inf
 4.93240100e+240
 Inf
 2.51331607e+03
 2.51331444e+03
 Inf
 Inf
 2.51404658e+03
 2.51417392e+03
 2.51361241e+03
 2.51395672e+03
 2.51434328e+03
 2.51384356e+03
 2.51340581e+03
 2.51330906e+03
 2.51338572e+03
 2.51336729e+03
 2.51327441e+03
 2.51342064e+03
 2.51340365e+03
 2.51327604e+03
 Inf
 2.51327484e+03
 2.51337408e+03
 2.51334249e+03
 Inf
 Inf
 3.24875512e+166
 1.87340722e+123
 4.12514710e+158
 3.65786652e+140
 2.72549574e+144
 Inf
 2.51329032e+03
 2.51348694e+03
 2.51335441e+03
 Inf
 Inf
 2.51337789e+03
 Inf
 6.75111778e+173
 2.51327711e+03
 2.51355811e+03
 2.51367902e+03
 2.51327830e+03
 9.31613657e+206
 2.51330337e+03
 2.51363355e+03
 2.51327452e+03
 Inf
 2.51327733e+03
 2.51405886e+03
 2.51449648e+03
 2.51402747e+03
 2.51391630e+03
 2.51460880e+03
 2.51446792e+03
 2.51350473e+03
 2.51362996e+03
 2.51359753e+03
 2.51329519e+03
 Inf
 Inf
 2.51330723e+03
 2.51350092e+03
 2.51343386e+03
 2.51333690e+03
 2.51398998e+03
 2.51537542e+03
 2.51581747e+03
 2.51481120e+03
 2.51368791e+03
 2.51406060e+03
 2.51446802e+03
 2.51465286e+03
 2.51413090e+03
 Inf
 2.51340726e+03
 2.51368791e+03
 2.51330071e+03
 2.51332918e+03
 2.51333443e+03
 2.51345604e+03
 2.51333201e+03
 2.51361241e+03
 2.51438269e+03
 2.51382866e+03
 2.51341536e+03
 Inf
 Inf
 Inf
 2.36986899e+162
 2.74067024e+235
 Inf
 Inf
 3.79443260e+167
 1.18291784e+232
 Inf
 2.51336729e+03
 Inf
 Inf
 2.51450082e+03
 2.51598824e+03
 2.51463882e+03
 2.51438064e+03
 2.51530677e+03
 2.51574186e+03
 2.51627720e+03
 2.51831838e+03
 2.51867825e+03
 2.51494979e+03
 2.51460205e+03
 2.51656994e+03
 2.51603065e+03
 2.51502791e+03
 2.51607058e+03
 2.51805403e+03
 2.51753378e+03
 2.51508364e+03
 2.51362290e+03
 2.51369043e+03
 2.51360894e+03
 2.51374201e+03
 2.51400691e+03
 2.51409812e+03
 2.51430254e+03
 2.51426649e+03
 2.51383311e+03
 2.51491903e+03
 2.51614097e+03
 2.51539265e+03
 2.51535587e+03
 2.51469042e+03
 2.51425669e+03
 2.51540429e+03
 2.51731953e+03
 2.51655895e+03
 2.51402231e+03
 2.51349248e+03
 2.51449202e+03
 2.51521437e+03
 2.51583004e+03
 2.51506760e+03
 2.51394854e+03
 2.51438894e+03
 2.51459282e+03
 2.51454967e+03
 2.51564586e+03
 2.51699825e+03
 2.51736798e+03
 2.51668277e+03
 2.51721603e+03
 2.51843067e+03
 2.51636737e+03
 2.51580158e+03
 2.51840351e+03
 2.51823149e+03
 2.51725970e+03
 2.51664630e+03
 2.51786879e+03
 2.51902971e+03
 2.51818068e+03
 2.51870485e+03
 2.51915441e+03
 2.51812809e+03
 2.51682005e+03
 2.51569516e+03
 2.51464350e+03
 2.51530673e+03
 2.51663530e+03
 2.51755491e+03
 2.51621540e+03
 2.51516206e+03
 2.51601433e+03
 2.51662444e+03
 2.51639177e+03
 2.51581096e+03
 2.51458822e+03
 2.51328481e+03
 Inf
 2.51327429e+03
 2.51338638e+03
 2.51339180e+03
 2.51339315e+03
 2.51334618e+03
 2.51354970e+03
 2.51372718e+03
 2.51430254e+03
 2.51595223e+03
 2.51549803e+03
 2.51534675e+03
 2.51600123e+03
 2.51611771e+03
 2.51566426e+03
 2.51383460e+03
 2.51329295e+03
 2.51383609e+03
 2.51387564e+03
 2.51339730e+03
 2.51407123e+03
 2.51526171e+03
 2.51457908e+03
 2.51350377e+03
 2.51342602e+03
 2.51450743e+03
 2.51637797e+03
 2.51471416e+03
 2.51402576e+03
 2.51530109e+03
 2.51525486e+03
 2.51396994e+03
 2.51398092e+03
 2.51469516e+03
 2.51513216e+03
 2.51466215e+03
 2.51429249e+03
 2.51502789e+03
 2.51545401e+03
 2.51453184e+03
 2.51418513e+03
 2.51478176e+03
 2.51335385e+03
 Inf
 2.51351535e+03
 2.51327420e+03
 Inf
 2.51330544e+03
 2.51329377e+03
 Inf
 6.80771285e+178
 9.94572445e+193
 Inf
 Inf
 7.45164118e+140
 Inf
 2.51355494e+03
 2.51335956e+03
 2.51330795e+03
 2.51338974e+03
 2.51338046e+03
 2.51342140e+03
 Inf
 3.58553311e+261
 2.51330269e+03
 2.51338705e+03
 2.51330136e+03
 2.51346987e+03
 2.51332918e+03
 2.51327830e+03
 Inf
 2.51331648e+03
 2.51473334e+03
 2.51481924e+03
 2.51341686e+03
 2.51342442e+03
 2.51403439e+03
 Inf
 2.45478882e+163
 4.92655636e+269
 Inf
 2.51334512e+03
 2.51328267e+03
 7.97413687e+215
 1.08985862e+187
 7.95660744e+172
 2.68296985e+158
 9.52029198e+159
 1.11607266e+107
 1.99681831e+100
 1.46695895e+143
 4.66162836e+204
 3.05159585e+189
 6.95315268e+243
 6.45301408e+131
 4.70603715e+86
 4.46965125e+107
 Inf
 Inf
 6.20760334e+134
 5.95948572e+89
 1.05111407e+125
 Inf
 1.05448310e+261
 4.83694591e+154
 3.64300929e+179
 1.18658396e+232
 4.55641154e+168
 1.66747957e+107
 7.83762959e+89
 1.24608227e+111
 1.25103914e+106
 9.01433691e+89
 9.86674569e+82
 5.81293204e+93
 2.27711030e+130
 2.74031376e+98
 8.50802907e+80
 2.87527039e+132
 2.49067080e+213
 9.13288561e+128
 2.65306240e+97
 3.88850614e+89
 2.43566094e+86
 6.44399352e+164
 1.82913017e+200
 1.00982068e+78
 1.05207171e+68
 2.28500373e+78
 9.43274540e+92
 2.77131188e+121
 6.09706687e+80
 1.44676015e+68
 1.16936070e+129
 7.62238940e+145
 4.34581591e+88
 5.82775491e+93
 6.43047891e+173
 Inf
 1.15275716e+174
 1.87532225e+92
 4.84782726e+82
 4.76210740e+100
 3.29963437e+261
 3.46958902e+222
 5.18346068e+118
 1.29273889e+121
 9.24522804e+123
 1.42117007e+156
 6.11766521e+167
 1.20534225e+115
 3.72115347e+93
 1.65675912e+101
 2.79496254e+110
 1.02805794e+106
 5.97185181e+120
 6.51047535e+265
 8.83729291e+298
 9.91715477e+109
 1.74273128e+93
 1.65543590e+121
 1.87899785e+144
 1.07032254e+125
 2.47833256e+113
 1.44686207e+102
 3.49708423e+142
 1.51025510e+294
 1.35259064e+241
 Inf
 1.93682767e+192
 2.17734226e+117
 1.53914881e+170
 Inf
 Inf
 1.49658733e+176
 2.30073761e+253
 Inf
 Inf
 Inf
 2.88700995e+165
 1.27723463e+151
 1.73157427e+165
 1.24508025e+116
 6.77488862e+107
 9.71589185e+108
 3.35058291e+95
 1.02505985e+92
 1.01400744e+104
 2.26110231e+266
 2.51329032e+03
 1.28241633e+169
 1.21048961e+109
 Inf
 2.51334888e+03
 Inf
 9.94182001e+174
 2.47038652e+203
 Inf
 Inf
 Inf
 1.02814469e+228
 4.35866404e+228
 2.51337661e+03
 2.51374202e+03
 2.51358855e+03
 2.51331897e+03
 Inf
 2.51329880e+03
 2.51329912e+03
 Inf
 4.50887449e+176
 1.47975342e+141
 7.43945130e+132
 3.61626152e+145
 7.55856769e+215
 1.88308396e+220
 3.11277590e+232
 7.14346811e+129
 3.91922492e+89
 1.08846542e+138
 1.11944602e+174
 3.38945442e+147
 1.58378497e+227
 1.43692622e+246
 Inf
 Inf
 Inf
 2.15967147e+182
 8.57437221e+150
 1.57216743e+147
 1.09780797e+123
 2.93197875e+132
 1.66695847e+290
 Inf
 Inf
 Inf
 Inf
 Inf
 1.37320073e+263
 1.83569963e+270
 1.39812577e+303
 Inf
 Inf
 Inf
 Inf
 7.16892725e+274
 5.71805224e+285
 Inf
 Inf
 2.51327555e+03
 Inf
 Inf
 Inf
 2.51327968e+03
 2.51341018e+03
 2.51334302e+03
 2.51329462e+03
 2.51356450e+03
 2.51401032e+03
 2.51361472e+03
 2.51328195e+03
 2.51329726e+03
 2.51369691e+03
 2.51384060e+03
 2.51404658e+03
 2.51401710e+03
 2.51352922e+03
 2.51333012e+03
 2.51337598e+03
 2.51340152e+03
 Inf
 2.42131322e+256
 1.04231324e+276
 Inf
 7.37432220e+294
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.24290497e+199
 1.47301141e+234
 1.35766637e+173
 4.51911828e+168
 Inf
 Inf
 2.50038195e+243
 Inf
 2.51338047e+03
 Inf
 9.08515101e+298
 Inf
 2.51328836e+03
 Inf
 Inf
 Inf
 Inf
 7.42501781e+292
 Inf
 1.60407244e+292
 5.10535680e+185
 1.02275876e+261
 Inf
 Inf
 Inf
 Inf
 2.57677011e+213
 Inf
 2.51332733e+03
 2.51327650e+03
 2.51327595e+03
 2.51327424e+03
 2.51328720e+03
 2.51341387e+03
 2.51351633e+03
 2.51327968e+03
 Inf
 5.73137502e+136
 1.19924701e+92
 3.37494028e+146
 9.10543381e+216
 2.20164019e+120
 5.09704706e+94
 5.37232740e+95
 1.25343643e+113
 1.92719322e+166
 8.55161160e+150
 1.38289517e+119
 7.01733601e+129
 2.54664654e+153
 1.23405551e+183
 Inf
 Inf
 Inf
 Inf
 2.51331133e+03
 2.51342064e+03
 2.51327792e+03
 4.17168482e+216
 1.04810167e+141
 Inf
 Inf
 8.09568501e+219
 1.09312737e+248
 2.34478591e+130
 1.84700367e+125
 2.92053445e+122
 1.16736406e+132
 1.88721626e+209
 9.11855815e+209
 2.32358120e+147
 3.64841509e+121
 5.37824715e+98
 1.23988756e+108
 1.79784424e+104
 5.79484633e+103
 1.99480093e+100
 3.75765731e+88
 1.97629721e+101
 1.17495657e+98
 5.71995775e+100
 3.69103117e+91
 3.20643227e+64
 3.40671043e+80
 1.22915317e+108
 4.80994826e+100
 1.47755207e+110
 4.25527425e+108
 2.68394808e+96
 2.43162566e+95
 1.02267732e+106
 1.59715752e+127
 1.72106597e+112
 1.36976543e+78
 2.16584754e+88
 1.01500329e+96
 1.00085151e+102
 5.96260330e+120
 1.89970633e+114
 8.46186309e+105
 3.88955270e+144
 Inf
 1.04257614e+261
 1.08306608e+148
 7.24516475e+170
 2.63287038e+218
 2.69694555e+230
 2.43222493e+286
 4.00274179e+262
 Inf
 2.49077837e+257
 Inf
 2.51335218e+03
 Inf
 1.03936481e+159
 1.23215751e+169
 2.31051876e+147
 9.65242613e+113
 4.36935748e+96
 2.93164747e+87
 1.76715545e+95
 4.78880151e+103
 3.79001263e+262
 Inf
 5.23821907e+212
 2.87755318e+151
 4.97123818e+122
 9.71467260e+204
 Inf
 4.94598368e+223
 1.05110785e+226
 1.73076065e+225
 Inf
 2.51327448e+03
 Inf
 1.51143585e+215
 4.42472479e+205
 Inf
 Inf
 1.70129599e+175
 3.77398075e+268
 1.04398473e+276
 2.34076909e+253
 7.17555642e+303
 Inf
 2.73331353e+250
 2.70829760e+158
 3.40625083e+222
 Inf
 1.11098238e+248
 1.03410507e+108
 8.86298664e+111
 6.04941592e+97
 4.59812302e+72
 1.08153648e+72
 1.25686039e+80
 4.13033379e+109
 1.00781103e+113
 3.82546573e+98
 2.34980674e+93
 8.13459616e+100
 1.88708866e+115
 8.87460057e+127
 8.21673569e+100
 4.86884572e+101
 1.68060787e+117
 1.25215658e+84
 1.30270036e+85
 3.64287647e+97
 2.21250412e+80
 7.55065263e+80
 3.67690798e+93
 1.63871504e+107
 4.17589446e+99
 4.36996583e+87
 3.67851737e+90
 8.61989140e+83
 2.83377931e+95
 8.08344293e+144
 1.11322737e+146
 3.73800271e+111
 5.80792763e+103
 8.26836319e+107
 3.52179976e+77
 7.45891768e+66
 1.12354047e+66
 8.04196016e+64
 5.38307149e+82
 1.96127194e+87
 8.22731360e+75
 8.29599739e+71
 1.76981714e+57
 1.17080483e+62
 9.41936504e+74
 2.29375745e+78
 6.85699284e+105
 1.21248941e+105
 6.16491673e+82
 1.49179657e+81
 5.89823212e+81
 3.31110108e+84
 2.28308630e+98
 3.50384353e+99
 3.33252973e+84
 1.58066023e+79
 2.71190652e+93
 1.18911440e+109
 1.64645221e+98
 1.02210983e+87
 2.22169393e+97
 2.33078976e+94
 1.02823521e+95
 2.62795267e+97
 1.15922208e+91
 1.20563512e+105
 8.35129088e+76
 7.17171727e+70
 7.84812418e+84
 5.52754019e+76
 2.88161333e+83
 1.19310621e+102
 1.89985561e+118
 1.95210731e+98
 5.31905290e+86
 1.84146213e+92
 9.65843541e+108
 3.47200661e+117
 1.13448004e+86
 4.99763223e+93
 1.66740060e+120
 2.50098230e+92
 3.08733167e+80
 8.27744937e+96
 1.69344184e+130
 1.51502664e+136
 1.98978855e+187
 6.05067598e+141
 1.17857870e+118
 1.30698681e+120
 4.93830514e+90
 2.92555181e+87