Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51423059e-06
 6.51448471e-06
 6.51462307e-06
 Inf
 Inf
 6.51440804e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51429611e-06
 6.51475672e-06
 6.51492975e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51430410e-06
 Inf
 Inf
 6.51414751e-06
 6.51477788e-06
 Inf
 1.27210050e+265
 2.07035547e+249
 Inf
 6.51429495e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 3.58620116e+189
 5.76808806e+230
 Inf
 Inf
 6.51421432e-06
 6.51476898e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51434291e-06
 Inf
 Inf
 Inf
 Inf
 6.51433178e-06
 6.51460458e-06
 6.51444705e-06
 6.51473806e-06
 6.51472400e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51432732e-06
 6.51468489e-06
 6.51468094e-06
 6.51442616e-06
 6.51490394e-06
 6.51506427e-06
 6.51480791e-06
 6.51480815e-06
 6.51501362e-06
 6.51480955e-06
 6.51493131e-06
 6.51504273e-06
 6.51515254e-06
 6.51527289e-06
 6.51508540e-06
 6.51546634e-06
 6.51557008e-06
 6.51512870e-06
 6.51470161e-06
 6.51477529e-06
 6.51493135e-06
 6.51463868e-06
 6.51478747e-06
 6.51538747e-06
 6.51517411e-06
 6.51482504e-06
 6.51483286e-06
 6.51492021e-06
 6.51483787e-06
 6.51479885e-06
 6.51471935e-06
 6.51487618e-06
 6.51519354e-06
 6.51512474e-06
 6.51505048e-06
 Inf
 6.51446536e-06
 6.51449740e-06
 6.51447356e-06
 6.51486909e-06
 Inf
 6.51413940e-06
 6.51452826e-06
 Inf
 6.51430822e-06
 6.51478009e-06
 6.51497064e-06
 6.51501597e-06
 6.51498069e-06
 6.51470226e-06
 6.51452124e-06
 6.51463407e-06
 6.51502977e-06
 6.51514587e-06
 6.51446022e-06
 6.51474631e-06
 6.51514467e-06
 6.51481204e-06
 6.51488933e-06
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 6.51493929e-06
 6.51483749e-06
 6.51516189e-06
 6.51510944e-06
 6.51483833e-06
 6.51481704e-06
 6.51490426e-06
 6.51499148e-06
 6.51523581e-06
 6.51547360e-06
 6.51531121e-06
 6.51496399e-06
 6.51472270e-06
 6.51460950e-06
 6.51483640e-06
 6.51485444e-06
 6.51454543e-06
 6.51472746e-06
 6.51479206e-06
 6.51490211e-06
 6.51483908e-06
 6.51480190e-06
 6.51615116e-06
 6.51566308e-06
 6.51509400e-06
 6.51510999e-06
 6.51510536e-06
 6.51494157e-06
 6.51459803e-06
 6.51489632e-06
 6.51500735e-06
 6.51466050e-06
 6.51502973e-06
 6.51516863e-06
 6.51495094e-06
 6.51483699e-06
 6.51487031e-06
 6.51534302e-06
 6.51527541e-06
 6.51487815e-06
 6.51482875e-06
 6.51511557e-06
 6.51506096e-06
 6.51502229e-06
 6.51496038e-06
 6.51494357e-06
 6.51502741e-06
 6.51512474e-06
 6.51505728e-06
 6.51455216e-06
 6.51526695e-06
 6.51559342e-06
 6.51546353e-06
 6.51529241e-06
 Inf
 Inf
 Inf
 6.51431777e-06
 6.51456484e-06
 6.51483260e-06
 6.51490764e-06
 6.51527620e-06
 6.51516223e-06
 6.51486507e-06
 6.51514363e-06
 6.51591195e-06
 6.51680848e-06
 6.51574870e-06
 6.51528850e-06
 6.51540174e-06
 6.51512659e-06
 6.51507913e-06
 6.51518502e-06
 6.51454475e-06
 6.51470055e-06
 6.51530359e-06
 6.51522757e-06
 6.51507749e-06
 6.51484036e-06
 6.51493685e-06
 6.51529488e-06
 6.51589946e-06
 6.51649080e-06
 6.51568186e-06
 6.51518128e-06
 6.51592449e-06
 6.51567467e-06
 6.51524261e-06
 6.51551908e-06
 6.51604970e-06
 6.51613374e-06
 6.51568586e-06
 6.51524044e-06
 2.81670632e+267
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51435198e-06
 6.51453840e-06
 6.51472369e-06
 Inf
 Inf
 Inf
 6.51438750e-06
 6.51444706e-06
 Inf
 6.51437975e-06
 6.51449743e-06
 6.51487084e-06
 Inf
 6.51431535e-06
 6.51462084e-06
 Inf
 1.42487622e+293
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51411611e-06
 Inf
 6.51442635e-06
 6.51437625e-06
 6.51489374e-06
 6.51499275e-06
 6.51467855e-06
 6.51483126e-06
 6.51542713e-06
 6.51520468e-06
 6.51472112e-06
 6.51474152e-06
 6.51508694e-06
 6.51510976e-06
 6.51505264e-06
 6.51492913e-06
 6.51454771e-06
 6.51465232e-06
 6.51496033e-06
 6.51545277e-06
 6.51566745e-06
 6.51527330e-06
 6.51485567e-06
 6.51503651e-06
 6.51510488e-06
 6.51471055e-06
 6.51461025e-06
 6.51480043e-06
 6.51474185e-06
 6.51470203e-06
 6.51466993e-06
 6.51495708e-06
 6.51500092e-06
 6.51486061e-06
 6.51503613e-06
 6.51510438e-06
 6.51495222e-06
 6.51481690e-06
 6.51491218e-06
 6.51495112e-06
 6.51479292e-06
 6.51464175e-06
 6.51472580e-06
 6.51472876e-06
 6.51491266e-06
 6.51492345e-06
 6.51471082e-06
 6.51477412e-06
 6.51460035e-06
 6.51470104e-06
 6.51489048e-06
 6.51480719e-06
 6.51464089e-06
 6.51498225e-06
 6.51519532e-06
 6.51526937e-06
 6.51525037e-06
 6.51515315e-06
 6.51501024e-06
 6.51463540e-06
 6.51486653e-06
 6.51494992e-06
 6.51481378e-06
 6.51489871e-06
 6.51479107e-06
 6.51485480e-06
 Inf
 6.51441010e-06
 6.51667606e-06
 6.51572428e-06
 6.51463362e-06
 6.51469442e-06
 Inf
 Inf
 Inf
 Inf
 6.51407765e-06
 6.51465745e-06
 6.51494178e-06
 6.51471758e-06
 6.51468559e-06
 6.51516657e-06
 6.51513865e-06
 6.51480898e-06
 6.51483248e-06
 6.51500823e-06
 6.51492608e-06
 6.51454663e-06
 6.51459755e-06
 6.51470230e-06
 6.51451981e-06
 6.51482678e-06
 6.51495018e-06
 6.51465767e-06
 6.51456114e-06
 6.51480049e-06
 6.51501326e-06
 6.51508931e-06
 6.51496059e-06
 6.51464594e-06
 6.51481062e-06
 6.51503740e-06
 Inf
 6.51424203e-06
 6.51507219e-06
 6.51525621e-06
 6.51494548e-06
 6.51454171e-06
 6.51520626e-06
 6.51581546e-06
 6.51563571e-06
 6.51542629e-06
 6.51563358e-06
 6.51564207e-06
 6.51547235e-06
 6.51558020e-06
 6.51571727e-06
 6.51558373e-06
 6.51577745e-06
 6.51549314e-06
 6.51502782e-06
 6.51465456e-06
 6.51514666e-06
 6.51553086e-06
 6.51536065e-06
 6.51523958e-06
 6.51532520e-06
 6.51518042e-06
 6.51530970e-06
 6.51577709e-06
 6.51553529e-06
 6.51522799e-06
 6.51505170e-06
 6.51469483e-06
 6.51451681e-06
 6.51463205e-06
 6.51448126e-06
 6.51471601e-06
 6.51480526e-06
 6.51466147e-06
 Inf
 6.51440237e-06
 6.51439825e-06
 6.51490540e-06
 6.51498308e-06
 6.51484020e-06
 6.51466599e-06
 Inf
 Inf
 Inf
 6.51396194e-06
 Inf
 Inf
 Inf
 6.51433585e-06
 Inf
 Inf
 6.51410098e-06
 6.51454735e-06
 Inf
 Inf
 Inf
 Inf
 6.51419091e-06
 6.51472497e-06
 6.51484651e-06
 6.51447674e-06
 6.51443108e-06
 6.51465411e-06
 6.51489938e-06
 Inf
 Inf
 Inf
 6.51430113e-06
 6.51475856e-06
 6.51783824e-06
 6.52903826e-06
 6.53201853e-06
 6.53533794e-06
 6.53154497e-06
 6.52900782e-06
 6.52280176e-06
 6.51821301e-06
 6.51715251e-06
 6.51716026e-06
 6.51630145e-06
 6.51552723e-06
 6.51527072e-06
 6.51517246e-06
 6.51494660e-06
 6.51472974e-06
 6.51465796e-06
 6.51491450e-06
 6.51533837e-06
 6.51570605e-06
 6.51536161e-06
 6.51496229e-06
 6.51448018e-06
 6.51475249e-06
 6.51486433e-06
 6.51514549e-06
 6.51510240e-06
 6.51476122e-06
 6.51455960e-06
 6.51491672e-06
 6.51496124e-06
 6.51446238e-06
 6.51464641e-06
 6.51494522e-06
 Inf
 Inf
 Inf
 6.51420370e-06
 6.51472002e-06
 6.51481232e-06
 6.51453199e-06
 6.51470394e-06
 Inf
 6.51436270e-06
 6.51583708e-06
 6.51665726e-06
 6.51557557e-06
 6.51464789e-06
 6.51493717e-06
 6.51489443e-06
 6.51464934e-06
 6.51497223e-06
 6.51499243e-06
 6.51486176e-06
 Inf
 Inf
 Inf
 Inf
 6.51450984e-06
 Inf
 Inf
 Inf
 Inf
 6.51426218e-06
 6.51491853e-06
 6.51547736e-06
 6.51532475e-06
 6.51493554e-06
 6.51464408e-06
 6.51510494e-06
 6.51519066e-06
 6.51498704e-06
 6.51498740e-06
 6.51510490e-06
 6.51552993e-06
 6.51561868e-06
 6.51516702e-06
 6.51470860e-06
 6.51513925e-06
 6.51592405e-06
 6.51553462e-06
 6.51518537e-06
 6.51510109e-06
 6.51487331e-06
 6.51443178e-06
 6.51551926e-06
 6.51570961e-06
 6.51534308e-06
 6.51513951e-06
 6.51501754e-06
 6.51480485e-06
 6.51455693e-06
 6.51536919e-06
 6.51568278e-06
 6.51522437e-06
 6.51522007e-06
 6.51539110e-06
 6.51507610e-06
 6.51474353e-06
 6.51556578e-06
 6.51593122e-06
 6.51581543e-06
 6.51579016e-06
 6.51544092e-06
 6.51562185e-06
 6.51612291e-06
 6.51546827e-06
 6.51486263e-06
 6.51519297e-06
 6.51534334e-06
 6.51512841e-06
 6.51501320e-06
 6.51506479e-06
 6.51512539e-06
 6.51514814e-06
 6.51508038e-06
 6.51527365e-06
 6.51518992e-06
 6.51487160e-06
 6.51452696e-06
 6.51450841e-06
 6.51495132e-06
 6.51502519e-06
 6.51480016e-06
 6.51482569e-06
 6.51459906e-06
 6.51448716e-06
 6.51474751e-06
 6.51468150e-06
 6.51496313e-06
 6.51510802e-06
 6.51488878e-06
 6.51445806e-06
 6.51455521e-06
 6.51483019e-06
 Inf
 Inf
 6.51440927e-06
 Inf
 Inf
 6.51412576e-06
 Inf
 Inf
 6.51429715e-06
 6.51455924e-06
 6.51463294e-06
 6.51478369e-06
 6.51494011e-06
 6.51440117e-06
 6.51482959e-06
 6.51514324e-06
 6.51490200e-06
 6.51493869e-06
 6.51548556e-06
 6.51594457e-06
 6.51573419e-06
 6.51528228e-06
 6.51503468e-06
 6.51500645e-06
 6.51532821e-06
 6.51578287e-06
 6.51558952e-06
 6.51529717e-06
 6.51505976e-06
 6.51485644e-06
 6.51482654e-06
 6.51487928e-06
 6.51474058e-06
 6.51485192e-06
 6.51503960e-06
 6.51470249e-06
 6.51478412e-06
 6.51492418e-06
 6.51505466e-06
 6.51520344e-06
 6.51516827e-06
 6.51503415e-06
 6.51509243e-06
 6.51537227e-06
 6.51526379e-06
 6.51518855e-06
 6.51511561e-06
 6.51494787e-06
 Inf
 6.51420604e-06
 6.51495379e-06
 6.51510358e-06
 6.51497795e-06
 6.51502597e-06
 6.51473597e-06
 6.51441290e-06
 6.51464430e-06
 Inf
 2.74803878e+278
 6.51374488e-06
 Inf
 6.51431584e-06
 6.51455909e-06
 6.51507341e-06
 6.51490298e-06
 6.51457338e-06
 6.51473190e-06
 6.51478305e-06
 6.51481107e-06
 6.51494899e-06
 6.51496714e-06
 6.51486539e-06
 6.51485928e-06
 6.51488715e-06
 6.51456852e-06
 Inf
 2.60311509e+240
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51394056e-06
 6.51442800e-06
 6.51452016e-06
 6.51487214e-06
 6.51497283e-06
 6.51473006e-06
 6.51470644e-06
 6.51450773e-06
 6.51498942e-06
 6.51516678e-06
 6.51489753e-06
 6.51446377e-06
 6.51485099e-06
 6.51444550e-06
 6.51472239e-06
 6.51541782e-06
 6.51532413e-06
 6.51505289e-06
 6.51485959e-06
 6.51481324e-06
 6.51467736e-06
 6.51468769e-06
 6.51478204e-06
 6.51467671e-06
 6.51454972e-06
 6.51478932e-06
 6.51489046e-06
 6.51482860e-06
 6.51483176e-06
 6.51555552e-06
 6.51588769e-06
 6.51540357e-06
 6.51491582e-06
 6.51485467e-06
 6.51522101e-06
 6.51590252e-06
 6.51560992e-06
 6.51505690e-06
 6.51477979e-06
 6.51549996e-06
 6.51549029e-06
 6.51509168e-06
 6.51470554e-06
 6.51469705e-06
 6.51515295e-06
 6.51507516e-06
 6.51560845e-06
 6.51570724e-06
 6.51534945e-06
 6.51513369e-06
 6.51499910e-06
 6.51481242e-06
 6.51460125e-06
 6.51466982e-06
 6.51474724e-06
 6.51483838e-06
 6.51499632e-06
 6.51500861e-06
 6.51472470e-06
 6.51493071e-06
 6.51505895e-06
 6.51480270e-06
 6.51490977e-06
 6.51515186e-06
 6.51487665e-06
 6.51504682e-06
 6.51521775e-06
 Inf
 1.03026898e+281
 Inf
 Inf
 Inf
 Inf
 1.48002814e+256
 1.53202963e+178
 Inf
 Inf
 7.67497714e+215
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51422516e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51438832e-06
 6.51446734e-06
 6.51461033e-06
 Inf
 Inf
 6.51382075e-06
 Inf
 Inf
 6.51400820e-06
 6.51476192e-06
 6.51462530e-06
 6.51454139e-06
 6.51456503e-06
 6.51458741e-06
 Inf
 6.51434394e-06
 6.51463401e-06
 6.51470601e-06
 6.51452037e-06
 6.51464282e-06
 6.51462948e-06
 6.51450497e-06
 Inf
 6.51441877e-06
 6.51441854e-06
 6.51481144e-06
 6.51489558e-06
 Inf
 Inf
 Inf
 6.51403162e-06
 6.51461406e-06
 6.51455921e-06
 6.51444125e-06
 6.51483938e-06
 Inf
 6.51423307e-06
 6.51548770e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.41666854e+293
 Inf
 Inf
 3.39096804e+264
 2.41923156e+152
 4.93888705e+200
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51445390e-06
 6.51443450e-06
 6.51463798e-06
 6.51451864e-06
 6.51468285e-06
 6.51509041e-06
 Inf
 6.51427046e-06
 Inf
 6.51450558e-06
 6.51439131e-06
 6.51460842e-06
 6.51474257e-06
 6.51468153e-06
 6.51459522e-06
 6.51467212e-06
 6.51485028e-06
 6.51471002e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51440155e-06
 6.51445131e-06
 Inf
 Inf
 6.57148693e+150
 3.22703259e+125
 Inf
 Inf
 Inf
 Inf
 Inf
 3.13993230e+194
 4.53064703e+156
 Inf
 Inf
 1.78100125e+189
 Inf
 Inf
 Inf
 Inf
 6.77561682e+219
 1.03348858e+136
 9.50923365e+153
 2.16997107e+126
 9.37374074e+152
 Inf
 Inf
 3.51200065e+168
 1.59250884e+159
 1.69735716e+173
 7.36748387e+186
 8.59350366e+284
 1.61952393e+210
 2.35834149e+191
 4.92160012e+199
 3.89352742e+176
 Inf
 Inf
 Inf
 8.90135843e+188
 1.08240083e+201
 Inf
 Inf
 Inf
 Inf
 Inf
 3.72766435e+182
 6.56432167e+204
 1.55491953e+213
 3.32764477e+205
 2.13505842e+242
 1.27817017e+237
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.13132608e+271
 1.07554172e+199
 Inf
 1.65500720e+272
 1.10273453e+198
 1.53322531e+154
 1.66262042e+172
 1.38422674e+228
 1.12113391e+291
 4.23457231e+287
 2.82517053e+156
 8.53605182e+165
 Inf
 Inf
 1.53763414e+178
 1.05641532e+175
 3.18226457e+133
 1.20594721e+164
 Inf
 1.27437996e+215
 2.13669659e+86
 1.96516807e+105
 1.60147804e+74
 8.85691875e+36
 2.30046407e+37
 7.62328522e+70
 9.37166681e+61
 9.46619087e+45
 1.85351334e+98
 6.93920055e+176
 1.03736190e+219
 1.24942433e+106
 3.91951650e+105
 7.57784952e+123
 3.34014626e+66
 6.74775009e+88
 2.11396827e+234
 1.90651191e+162
 3.86364159e+100
 3.12214860e+118
 4.01884085e+255
 Inf
 Inf
 2.35341754e+200
 1.82380782e+216
 1.29633518e+261
 5.99074541e+246
 Inf
 3.38957065e+264
 2.21633389e+250
 Inf
 Inf
 Inf
 Inf
 4.51403934e+231
 Inf
 6.51395237e-06
 Inf
 1.07428936e+219
 1.94501769e+140
 2.52584535e+117
 5.50864033e+134
 6.38894802e+150
 Inf
 Inf
 2.57719294e+270
 7.52463525e+215
 Inf
 6.18459404e+247
 2.76033301e+108
 8.38334034e+143
 Inf
 1.83356194e+235
 2.68068059e+252
 8.86306464e+188
 1.20429387e+131
 7.55018433e+110
 4.43825754e+136
 2.50651320e+163
 1.89222908e+146
 2.85277656e+127
 1.01518415e+84
 1.68566148e+79
 1.19653624e+96
 1.42893192e+99
 5.43768546e+90
 3.09565101e+120
 3.79766807e+132
 4.46673241e+136
 2.41786005e+161
 5.66384084e+112
 1.24466086e+125
 2.83106542e+94
 1.24476929e+92
 6.87675690e+103
 1.00588006e+121
 4.97983822e+279
 3.01202878e+172
 1.32718673e+185
 Inf
 Inf
 1.91336970e+284
 6.38284954e+269
 3.56369612e+145
 4.49153896e+156
 9.23097646e+133
 1.04231214e+95
 1.81157129e+93
 7.01448717e+115
 7.33298787e+142
 2.02748265e+128
 1.68334735e+173
 8.88536940e+139
 1.96242696e+106
 2.85469737e+129
 1.48702014e+153
 5.34538990e+145
 3.14536583e+120
 4.64968252e+96
 9.35072642e+112
 3.00127781e+170
 1.11243695e+143
 2.95533748e+171
 Inf
 Inf
 Inf
 Inf
 Inf
 2.09634287e+211
 1.12152192e+100
 1.20612803e+96
 1.52852851e+91
 9.08653270e+90
 1.66735056e+104
 1.97703846e+72
 2.02960244e+62
 2.58254191e+67
 6.27472601e+77
 3.85499027e+127
 2.07730457e+148
 2.98485247e+126
 4.52242423e+222
 Inf
 Inf
 6.51403959e-06
 Inf
 5.33866847e+214
 1.82083955e+179
 2.21721433e+188
 Inf
 4.83690143e+191
 8.21710854e+177
 8.93785372e+282
 2.87528348e+190
 5.92158672e+203
 1.50459961e+236
 1.01751130e+165
 2.41667936e+165
 Inf
 Inf
 3.27690912e+148
 1.08792491e+217
 Inf
 Inf
 Inf
 Inf
 2.53429946e+143
 6.96640466e+103
 5.87806105e+101
 2.78605684e+128
 1.85242977e+247
 Inf
 1.00046936e+186
 6.07563147e+130
 3.41029390e+94
 9.50875892e+88
 1.81065387e+149
 4.24038924e+163
 1.20919816e+103
 2.85621168e+137
 6.63032840e+144
 3.35633771e+179
 3.00933097e+253
 3.05531925e+141
 9.69640073e+102
 3.36720737e+135
 Inf
 Inf
 5.29401852e+178
 3.69601536e+237
 1.90708948e+162
 8.50139703e+143
 7.84733076e+251
 1.03439901e+254
 6.29070972e+154
 1.57452801e+151
 2.78079355e+156
 1.48493837e+142
 5.70553787e+147
 2.35008312e+120
 1.16718031e+180
 1.49230960e+194
 1.00148145e+155
 6.14420451e+137
 1.55729987e+133
 6.47596871e+136
 2.00989652e+107
 2.44273294e+121
 2.40896412e+154
 8.26461371e+157
 5.09987983e+197
 4.08365674e+283
 Inf
 Inf
 1.94476888e+175
 2.38292053e+153
 1.26342834e+209
 2.72193972e+217
 4.24901498e+140
 2.14932805e+108
 2.52537236e+107
 Inf
 6.51498403e-06
 6.51573418e-06
 6.51649860e-06
 6.51836560e-06
 6.51669097e-06
 6.51553863e-06
 Inf
 2.09861884e+127
 5.64420304e+111
 3.13382408e+118
 6.59500825e+144
 1.01653612e+121
 9.36584736e+76
 5.81533325e+138
 1.00113731e+151
 2.21326549e+95
 8.36874373e+130
 9.76664781e+169
 1.32269209e+134
 5.57833693e+103
 1.65220460e+101
 5.92165747e+87
 2.88731063e+74
 8.21702369e+82
 2.30437235e+125
 2.76813867e+116
 3.02790417e+66
 3.26306466e+71
 8.18401545e+84
 1.46556027e+82
 4.89237886e+88
 2.02562292e+81
 1.98811262e+77
 7.43886184e+83
 2.60720014e+102
 4.66424328e+95
 3.47035918e+73
 1.74601288e+75
 5.24742482e+75
 1.04760965e+98
 8.15996638e+114
 6.86956578e+88
 1.67860689e+80
 5.35059410e+93
 2.43014434e+121
 8.72977531e+147
 2.49327829e+143
 4.95690634e+105
 2.00598594e+141
 9.92753641e+141
 4.59598272e+110
 1.55524384e+151
 5.06882748e+157
 1.52792771e+145
 6.69698999e+131
 6.27153948e+102
 8.77684935e+40
 4.90154507e+09
 1.27875635e+03
 4.97998370e+05
 6.27596971e+09
 4.33363158e+03
 1.86949640e+02
 2.68892892e+02
 5.31235233e+06
 3.57889571e+41
 4.12479056e+149
 6.31532971e+175
 1.32803776e+185
 5.09997704e+157
 3.91577224e+109
 1.09623975e+130
 6.45756986e+219
 1.28007160e+209
 6.38308953e+175
 1.89555173e+139
 5.89071382e+164
 2.12072155e+116
 6.98495894e+87
 5.51599120e+143
 2.26174984e+199
 1.31950915e+204
 4.08945912e+283
 5.02662140e+198
 1.92846267e+117
 4.82329988e+97
 8.96777520e+99
 3.61375879e+116
 2.23897631e+199
 1.20745362e+203
 7.63787482e+229
 2.13431220e+176
 1.35647981e+101
 2.16528345e+158
 2.91398683e+144
 2.16619070e+126
 1.46935841e+181
 3.11145799e+119
 3.92468023e+127
 1.47156980e+194
 6.34149123e+179
 2.09983396e+148
 4.41029510e+177
 1.38859886e+298
 1.75433232e+262
 2.11491709e+230
 2.74818001e+212
 6.55643019e+136
 3.05031982e+130
 4.90469223e+200
 1.05505408e+169
 1.73236648e+170
 1.05488695e+175
 5.01167244e+109
 3.46277589e+78
 8.61898915e+72
 2.26311801e+74
 3.76085826e+77
 2.49436241e+107
 2.58147050e+91
 1.08086890e+101
 1.12167620e+168
 5.49847151e+55
 2.79557055e+51
 2.06908724e+158
 1.98427765e+168
 2.64746779e+104
 2.54549326e+57
 1.22628703e+69
 2.11389451e+167
 3.16955617e+118
 3.16065411e+96
 8.23934783e+116
 9.64139917e+185
 3.13435745e+157
 7.72534558e+132
 2.25371515e+199
 2.39478833e+251
 1.07732654e+221
 3.52231787e+193
 2.13012438e+242
 2.84654559e+239
 5.95624880e+245
 8.10631715e+223
 1.79850443e+222
 Inf
 4.41677725e+236
 1.61347409e+155
 6.33578366e+114
 2.83108523e+127
 2.35811500e+153
 6.14237188e+137
 9.45552115e+112
 3.25196452e+97
 5.59612484e+111
 9.92641494e+164
 2.21081187e+188
 7.03401123e+189
 Inf
 2.76893438e+221
 4.96267610e+122
 6.00523470e+130
 1.07610940e+127
 3.30440836e+121
 5.47851683e+119
 1.76148227e+99
 1.68698555e+110
 1.56094546e+147
 3.22292585e+107
 2.10850937e+86
 9.85900423e+89
 3.04570566e+119
 4.39490061e+125
 9.93391559e+106
 1.53550963e+130
 3.78299371e+167
 Inf
 2.55089220e+270
 4.45713456e+188
 Inf
 Inf
 Inf
 1.19305399e+191
 2.62741200e+159
 1.88667193e+162
 2.70707927e+134
 8.08625836e+121
 1.29273426e+204
 2.30186715e+200
 1.37700103e+100
 2.32316502e+125
 7.35473091e+142
 3.05430384e+130
 4.37995285e+146
 6.73489910e+161
 4.37844236e+112
 2.76251465e+138
 7.49078451e+240
 1.59227633e+126
 2.87833730e+137
 2.69412331e+134
 4.10749794e+94
 8.97886452e+71
 1.38381120e+63
 8.85811909e+47
 6.07848795e+37
 1.99548470e+64
 9.01197057e+59
 3.84488047e+58
 5.67946586e+243
 2.43172229e+246
 1.22781878e+164
 1.30420622e+177
 3.29157938e+64
 1.65165227e+46
 4.72533013e+105
 3.19847780e+95
 5.17119771e+91
 1.17642775e+131
 1.24523637e+111
 7.75370163e+72
 1.15957491e+84
 Inf
 Inf
 Inf
 Inf
 1.15071062e+202
 6.72993255e+141
 1.02218103e+136
 2.87894700e+129
 3.13615959e+162
 2.09391469e+148
 2.33002142e+191
 Inf
 Inf
 2.55971281e+270
 2.69263574e+252
 2.75531130e+212
 1.34367164e+195
 1.01269525e+165
 7.11138014e+135
 1.60181989e+111
 8.08845329e+109
 9.42894614e+153
 7.69656207e+233
 7.06780957e+182
 1.94181289e+160
 3.77516202e+152
 2.06769870e+129
 2.52008228e+117
 7.52740016e+120
 2.47610956e+143
 7.82510587e+180
 5.08600595e+102
 8.24465373e+95
 1.56495232e+155
 1.98295412e+168
 7.10269114e+159
 8.89981043e+162
 7.16832849e+250
 Inf
 8.29307924e+275
 3.09104305e+173
 4.47882001e+149
 1.00688895e+182
 2.66851932e+267
 1.44501805e+256
 9.59921237e+183
 6.97634351e+149
 1.36922848e+137
 2.61758200e+150
 4.49712837e+207
 2.09938267e+230
 9.88361374e+185
 3.20413109e+238
 Inf
 7.32017083e+226
 1.26896360e+95
 2.74222915e+116
 1.16534177e+180
 3.89692374e+151
 6.44042082e+212
 2.51120274e+270
 Inf
 9.99684513e+185
 1.68785185e+114
 4.10002956e+104
 1.43663864e+117
 5.53976904e+169
 5.21436222e+178
 2.56758451e+196
 1.25778648e+215
 1.83181513e+97
 5.96648376e+89
 1.22985875e+111
 4.92179868e+94
 1.34633971e+137
 5.63184646e+129
 7.03420446e+176
 Inf
 Inf
 Inf
 Inf
 1.66207461e+272
 1.12851668e+291
 5.25056814e+214
 2.93658876e+144
 7.80728532e+102
 1.20172928e+112
 6.51293805e-06
 6.51439234e-06
 2.88824813e+278
 Inf
 Inf
 Inf
 1.63288495e+269
 Inf
 Inf
 1.83843188e+235
 Inf
 1.10735693e+238
 Inf
 Inf
 Inf
 8.01315835e+180
 1.52958273e+154
 4.02025801e+192
 8.79721713e+188
 7.75741348e+148
 3.47975080e+189
 2.60908316e+219
 6.69083153e+155
 Inf
 Inf
 1.00603682e+233
 1.01792154e+145
 5.68294975e+190
 4.96767147e+256
 2.27424724e+280
 1.01389456e+271
 1.58493068e+75
 7.45458901e+31
 7.12259371e+12
 8.61350037e+11
 2.92135120e+20
 2.04333328e+21
 1.87892092e+20
 2.08233361e+22
 3.10982922e+22
 6.86866470e+19
 3.78623849e+19
 1.19649273e+21
 3.53970136e+24
 1.09450865e+26
 7.02813973e+23
 2.80334701e+23
 2.77220194e+25
 1.16615457e+25
 3.69843265e+21
 1.56010300e+22
 9.31937315e+24
 1.00870063e+07
 2.15032445e+06
 1.33434463e+20
 2.76118366e+24
 6.14100525e+25
 4.19286069e+22
 9.33430519e+19
 3.34791405e+22
 2.00139372e+26
 1.48976478e+23
 1.00476397e+25
 6.83742102e+30
 5.95337694e+25
 3.64625937e+22
 1.31396315e+24
 1.89456021e+23
 1.91226845e+21
 2.05428187e+22
 4.62272802e+26
 1.24849064e+23
 1.21411232e+22
 2.48608066e+26
 3.24612551e+27
 2.74118001e+29
 2.80915433e+27
 3.55596630e+25
 2.99425923e+25
 5.13321238e+22
 1.10718828e+24
 5.62858137e+28
 2.74814919e+29
 7.11617660e+28
 5.38118090e+24
 2.69495545e+21
 8.99130305e+21
 1.35861857e+24
 7.29357084e+25
 3.11222335e+25
 7.31771087e+27
 3.84833465e+28
 2.31476651e+25
 1.46777208e+26
 1.68969649e+31
 3.06712142e+30
 2.37573246e+27
 2.74625175e+28
 1.11888521e+31
 4.32481999e+29
 1.08887456e+25
 2.09620276e+22
 5.45523856e+21
 1.34242417e+21
 1.17676437e+26
 3.87598249e+32
 9.84750878e+29
 1.05357692e+29
 4.41287013e+28
 1.12352293e+32
 1.57776073e+34
 4.37627058e+32
 4.63743156e+31
 2.27959159e+29
 1.01816875e+33
 1.52721723e+33
 1.18651291e+29
 4.64077528e+25
 1.42651557e+25
 2.31292576e+30
 2.46410240e+28
 4.56698764e+26
 2.31456035e+31
 7.43300020e+33
 2.89550065e+26
 1.08518334e+25
 5.26494864e+28
 1.01782238e+28
 3.13344774e+30
 1.52039842e+32
 8.74495298e+35
 1.51633450e+37
 1.62205464e+31
 1.10086935e+36
 9.69002054e+40
 7.77171741e+31
 2.41409274e+32
 7.46307500e+32
 1.29348014e+32
 1.06797040e+32
 2.15265032e+31
 1.29148823e+32
 9.37920504e+30
 1.73600541e+27
 2.22213106e+27
 7.03238877e+24
 8.89567285e+23
 4.49675546e+29
 7.03488312e+32
 3.19797208e+31
 2.94792756e+26
 8.69767116e+25
 3.92696009e+28
 8.74632183e+28
 9.34355197e+29
 1.23909484e+29
 8.88089070e+30
 1.81735773e+30
 2.17170994e+29
 3.63746437e+31
 2.01109090e+34
 1.88157020e+36
 4.16548428e+30
 1.72746987e+28
 4.12038055e+28
 3.94046954e+28
 4.46606387e+25
 3.61465698e+25
 4.27602225e+27
 2.41933116e+27
 6.16369210e+25
 8.52052493e+27
 6.19138305e+33
 1.67751259e+35
 3.12095972e+31
 2.42850031e+27
 4.12493258e+26
 3.53500423e+27
 1.18739663e+26
 5.38463681e+25
 2.39678215e+28
 1.43105098e+25
 2.54652901e+21
 6.52853556e+23
 2.00056166e+28
 4.74046819e+31
 1.53005311e+34
 2.79989182e+32
 3.82583057e+26
 7.39764530e+23
 2.63578177e+24
 8.59455071e+23
 3.16064283e+20
 1.21991344e+20
 1.45552077e+26
 5.90840367e+28
 1.38314371e+28
 1.68212635e+30
 4.62344852e+28
 8.75388301e+26
 1.22892179e+23
 6.17602342e+22
 2.72844045e+28
 8.87363915e+30
 8.56984357e+28
 9.95958090e+27
 4.87569685e+27
 2.05532775e+26
 4.33676413e+30
 3.43644764e+36
 2.65162051e+30
 3.81886044e+26
 1.71986180e+28
 7.83591481e+27
 3.61627878e+27
 7.18550869e+25
 2.45125942e+28
 9.72453581e+23
 7.77962150e+21
 2.60585859e+30
 1.12107924e+31
 6.99747940e+29
 1.26797811e+29
 6.98315560e+29
 8.57732279e+31
 2.27434646e+30
 1.27431633e+34
 6.56504149e+30
 2.46502698e+28
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 1.19340731e+27
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 1.69721531e+36
 1.52863620e+32
 4.89628994e+27
 5.16466870e+28
 1.89017788e+32
 9.37593931e+29
 1.75987717e+26
 1.49302444e+27
 2.63349854e+25
 7.71315987e+26
 3.43905697e+31
 8.09717468e+29
 1.67885161e+08
 1.31663358e+07
 4.20764757e+23
 1.33188737e+31
 5.43461906e+31
 1.24124046e+29
 8.57002926e+31
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 1.35927779e+28
 6.15541269e+23
 3.81716374e+25
 1.55678384e+26
 1.18917300e+23
 9.05537213e+26
 3.88085127e+32
 2.38185004e+35
 1.99471635e+38
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 1.17127412e+27
 1.65562671e+25
 2.80367369e+22
 1.07023672e+26
 1.22575355e+44
 1.35198961e+39
 3.32157307e+32
 1.02602137e+39
 1.28452640e+34
 3.65029498e+37
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 1.91003547e+34
 8.73055126e+29
 2.79404045e+31
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 1.03951466e+31
 2.65362944e+31
 1.42896996e+38
 9.93299479e+38
 3.34894567e+36
 1.11356235e+38
 1.32292695e+34
 2.92473571e+30
 1.12155009e+31
 5.17205732e+36
 1.53737786e+34
 4.76063068e+32
 1.55795243e+40
 1.27843811e+37
 3.38380126e+31
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 3.01058608e+36
 5.04029462e+38
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 2.87887299e+27
 6.04156813e+27
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 1.38240432e+30
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 2.47254432e+35
 4.84435945e+30
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 1.80029069e+42
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 1.97356728e+39
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 1.40478856e+36
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 3.62420024e+38
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 1.33255919e+46
 3.27351503e+39
 1.49365302e+38
 2.00022609e+31
 2.18588791e+27
 9.48719223e+26
 8.20136034e+30
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 5.55256101e+35
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 3.88863995e+38
 5.53121497e+29
 1.68451484e+30
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 1.68679880e+30
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 1.76287483e+40
 1.07343643e+39
 7.64758092e+34
 4.12235113e+33
 4.51954019e+31
 1.46056248e+29
 1.16447068e+30
 1.74272149e+31
 1.12679274e+32
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 4.52472036e+231
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 3.38769767e+264
 1.02186840e+226
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 Inf
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 Inf
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 4.13360606e+283
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 Inf
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 5.33491753e+160
 4.01978163e+268
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 Inf
 2.71336619e+252
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 Inf
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 4.60562562e+281
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 6.51430479e-06
 6.51537413e-06
 Inf
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 9.80854392e+288
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 6.51436287e-06
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 1.51991033e+205
 4.06667912e+129
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 4.07668512e+271
 3.74987527e+237
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 4.96706541e+199
 Inf
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 Inf
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 Inf
 Inf
 Inf
 6.51429528e-06
 6.51492727e-06
 Inf
 Inf
 Inf
 3.54191284e+232
 3.52178003e+164
 Inf
 6.51413348e-06
 Inf
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 6.51417242e-06
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 Inf
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 2.56535431e+163
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 Inf
 6.51442327e-06
 6.51449699e-06
 6.51459335e-06
 Inf
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 6.51432409e-06
 6.51453741e-06
 Inf
 Inf
 1.75468793e+262
 Inf
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 Inf
 6.51433686e-06
 6.51455371e-06
 6.51459986e-06
 Inf
 6.51439184e-06
 6.51453991e-06
 6.51463185e-06
 6.51488579e-06
 6.51465678e-06
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 Inf
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 Inf
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 6.51439214e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51443454e-06
 6.51560660e-06
 6.52184820e-06
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 Inf
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 6.51428088e-06
 6.51451886e-06
 6.51467675e-06
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 Inf
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 6.68122424e+212
 1.13342896e+202
 3.56196539e+260
 Inf
 4.24410978e+287
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51430950e-06
 Inf
 6.51447826e-06
 6.51457824e-06
 Inf
 6.51393778e-06
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 Inf
 2.45750270e+251
 Inf
 6.51413190e-06
 Inf
 Inf
 Inf
 Inf
 2.79183355e+259
 Inf
 Inf
 Inf
 6.51437707e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.91935182e+246
 Inf
 6.51415182e-06
 Inf
 Inf
 Inf
 3.88597917e+228
 3.44609320e+135
 Inf
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 6.51402831e-06
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 6.51700366e-06
 6.51794998e-06
 6.51891959e-06
 6.51907888e-06
 6.51668069e-06
 6.51539444e-06
 Inf
 1.24055131e+203
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51431976e-06
 6.51468343e-06
 Inf
 Inf
 6.51419107e-06
 Inf
 6.51437376e-06
 6.51449005e-06
 Inf
 6.51431175e-06
 6.51468456e-06
 Inf
 6.51432889e-06
 6.51452079e-06
 Inf
 Inf
 6.51391206e-06
 6.51476831e-06
 Inf
 6.51448788e-06
 6.51436879e-06
 6.51477929e-06
 6.51444129e-06
 6.51535049e-06
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 Inf
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 6.51448853e-06
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 6.51472694e-06
 6.51465727e-06
 6.51463685e-06
 6.51487858e-06
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 Inf
 Inf
 6.51435955e-06
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 6.51534072e-06
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 6.51565028e-06
 6.51563775e-06
 6.51565464e-06
 6.49375934e-06
 6.51575933e-06
 6.51530340e-06
 Inf
 6.51432859e-06
 6.51451966e-06
 6.51540213e-06
 6.51540850e-06
 6.51456128e-06
 6.51436448e-06
 Inf
 Inf
 Inf
 Inf
 6.51423852e-06
 6.51470338e-06
 6.51489379e-06
 Inf
 6.51402741e-06
 6.51446420e-06
 6.51480551e-06
 6.51477285e-06
 6.51474518e-06
 6.51459199e-06
 Inf
 6.51422039e-06
 6.51465789e-06
 6.51512380e-06
 6.51498987e-06
 6.51458338e-06
 6.51464311e-06
 6.51478354e-06
 6.51477290e-06
 6.51481726e-06
 6.51522064e-06
 6.51535822e-06
 6.51511919e-06
 6.51464399e-06
 6.51449774e-06
 6.51496725e-06
 6.51497888e-06
 6.51466459e-06
 6.51454914e-06
 Inf
 Inf
 Inf
 6.51441297e-06
 Inf
 6.51436647e-06
 6.51461774e-06
 1.17444971e+162
 4.40463988e+231
 6.51359144e-06
 6.51484254e-06
 6.51486210e-06
 6.51541445e-06
 6.51601006e-06
 6.51541099e-06
 6.51459077e-06
 6.51467927e-06
 6.51482591e-06
 6.51505250e-06
 6.51506110e-06
 6.51481623e-06
 6.51466449e-06
 6.51478845e-06
 6.51507910e-06
 6.51501552e-06
 6.51480361e-06
 6.51477383e-06
 6.51452701e-06
 Inf
 6.51428510e-06
 6.51487988e-06
 6.51517052e-06
 6.51493758e-06
 6.51471997e-06
 6.51437035e-06
 6.51477092e-06
 Inf
 Inf
 Inf
 6.51429725e-06
 6.51459856e-06
 6.51473629e-06
 6.51483687e-06
 Inf
 1.74678607e+193
 4.63814465e+289
 6.51391107e-06
 6.51444639e-06
 6.51450833e-06
 6.51464845e-06
 6.51461668e-06
 Inf
 6.51433463e-06
 6.51450715e-06
 6.51479680e-06
 6.51447477e-06
 6.51456584e-06
 6.51452386e-06
 Inf
 2.59581721e+240
 Inf
 6.51433810e-06
 6.51471049e-06
 Inf
 Inf
 6.51426411e-06
 6.51446988e-06
 6.51455693e-06
 1.89006333e+222
 1.28047954e+209
 6.51352176e-06
 6.51464238e-06
 5.69375505e+202
 1.59955285e+98
 1.93238225e+243
 2.60509423e+185
 Inf
 6.51388647e-06
 7.67734159e+186
 2.23615679e+133
 2.86925457e+146
 Inf
 Inf
 Inf
 6.51449605e-06
 6.51534094e-06
 6.51513709e-06
 Inf
 Inf
 6.51407369e-06
 6.51464495e-06
 6.51471296e-06
 6.51505732e-06
 6.51512088e-06
 2.11304058e+282
 3.54009110e+254
 Inf
 Inf
 Inf
 6.51442498e-06
 6.51450732e-06
 6.51502050e-06
 6.51502001e-06
 6.51482485e-06
 6.51505520e-06
 6.51517360e-06
 6.51495602e-06
 6.51458986e-06
 6.51499214e-06
 6.51511295e-06
 6.51486874e-06
 6.51475091e-06
 6.51477606e-06
 6.51472871e-06
 2.62189211e+270
 Inf
 6.51424403e-06
 Inf
 1.51586020e+205
 7.51279734e+68
 8.89734553e+71
 3.89723588e+161
 Inf
 Inf
 Inf
 1.06854685e+268
 Inf
 Inf
 6.51439437e-06
 6.51464274e-06
 6.51508241e-06
 6.51574460e-06
 6.51555890e-06
 Inf
 6.51420656e-06
 6.51484507e-06
 6.51501799e-06
 6.51486951e-06
 Inf
 Inf
 Inf
 Inf
 6.51390287e-06
 6.51446341e-06
 6.51462329e-06
 6.51657826e-06
 6.51897676e-06
 6.51621240e-06
 6.51468262e-06
 6.51450779e-06
 6.51496522e-06
 6.51463213e-06
 Inf
 6.51432522e-06
 6.51453846e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51446861e-06
 6.51437962e-06
 6.51487773e-06
 6.51495492e-06
 6.51497538e-06
 6.51501667e-06
 6.51474118e-06
 6.51493942e-06
 Inf
 6.51436035e-06
 6.51535715e-06
 6.51529123e-06
 6.51557523e-06
 6.51562834e-06
 6.51528749e-06
 6.51547104e-06
 6.51553474e-06
 6.51570828e-06
 6.51675064e-06
 6.51685993e-06
 6.51652732e-06
 6.51592908e-06
 6.51561217e-06
 6.51636305e-06
 6.51652895e-06
 6.51555503e-06
 Inf
 6.51400777e-06
 6.51503056e-06
 6.51595888e-06
 6.51602429e-06
 6.51588683e-06
 6.51548482e-06
 6.51509370e-06
 6.51497878e-06
 Inf
 Inf
 8.15972668e+251
 Inf
 Inf
 1.42022932e+293
 3.80669761e+186
 8.03199665e+223
 6.51358134e-06
 6.51539814e-06
 6.51539413e-06
 6.51491367e-06
 6.51479553e-06
 6.51447915e-06
 6.51494497e-06
 6.51561204e-06
 6.51614857e-06
 6.51560363e-06
 6.51509233e-06
 6.51681867e-06
 6.51675678e-06
 6.51621069e-06
 6.51601943e-06
 6.51552828e-06
 6.51570403e-06
 6.51708900e-06
 6.51714703e-06
 6.51679437e-06
 6.51916501e-06
 6.51743511e-06
 6.51607424e-06
 6.51634898e-06
 6.51639002e-06
 6.51748824e-06
 6.51861525e-06
 6.51852762e-06
 6.51836341e-06
 6.51887189e-06
 6.51915189e-06
 6.52061425e-06
 6.51684454e-06
 Inf
 6.51432273e-06
 6.51480656e-06
 6.51485466e-06
 6.51458315e-06
 Inf
 Inf
 Inf
 1.98145736e+160
 Inf
 6.51377444e-06
 6.51480307e-06
 6.51501456e-06
 6.51501203e-06
 6.51467353e-06
 6.51519398e-06
 6.51548006e-06
 6.51503015e-06
 6.51524946e-06
 6.51590096e-06
 6.51543766e-06
 6.51531175e-06
 6.51539894e-06
 6.51511427e-06
 6.51514286e-06
 6.51579569e-06
 6.51573051e-06
 6.51566067e-06
 6.51568107e-06
 6.51572343e-06
 6.51561739e-06
 6.51527781e-06
 6.51451372e-06
 6.51472763e-06
 6.51505122e-06
 Inf
 3.65568021e+184
 2.15660483e+258
 6.51369590e-06
 6.51468236e-06
 6.51441851e-06
 6.51480934e-06
 Inf
 Inf
 Inf
 Inf
 1.07131887e+175
 2.85742582e+187
 2.09143371e+230
 1.02831055e+229
 Inf
 Inf
 Inf
 3.57681845e+254
 1.71970622e+173
 2.39071656e+118
 7.69096041e+80
 2.59117695e+104
 6.97904071e+250
 Inf
 2.24460041e+234
 1.04714842e+208
 9.87801731e+259
 6.75407774e+249
 2.23039694e+158
 1.51107859e+178
 Inf
 2.30408983e+290
 1.32533466e+138
 2.27377931e+64
 4.25268593e+53
 9.03402273e+111
 1.17271103e+99
 3.81495856e+85
 4.15211552e+236
 1.88333323e+284
 3.75699128e+213
 3.33663369e+142
 2.31063608e+145
 6.44752177e+133
 1.47553640e+129
 3.23956520e+264
 5.37073938e+160
 7.20866294e+97
 1.21840473e+97
 1.47533225e+56
 2.17186973e+72
 1.99736273e+242
 2.43797818e+197
 7.45341467e+142
 4.71375534e+75
 2.62914498e+76
 1.72821617e+60
 3.52509665e+64
 1.33126130e+190
 Inf
 2.82643673e+229
 3.48650788e+168
 1.53083058e+145
 4.31367485e+98
 5.10798262e+107
 4.04521794e+65
 2.02726295e+66
 5.72489252e+152
 2.82378931e+153
 1.84770584e+246
 6.51365784e-06
 4.23072217e+139
 9.63656332e+98
 Inf
 Inf
 6.42154027e+234
 2.00375041e+282
 2.79328874e+292
 1.91505018e+162
 7.56940566e+229
 Inf
 3.73199148e+182
 1.31556924e+204
 4.36385506e+236
 4.77364730e+265
 Inf
 Inf
 1.45408361e+124
 4.37242671e+91
 3.32225895e+232
 1.70211621e+150
 6.41274053e+150
 4.56278047e+222
 2.93888377e+144
 3.05528098e+130
 5.52883271e+134
 8.78265364e+252
 1.90855814e+247
 3.96932097e+128
 2.41221810e+161
 1.22835382e+116
 7.52464152e+120
 5.21964127e+85
 1.25023648e+76
 2.32549383e+118
 1.56545973e+147
 1.41119412e+115
 6.58761338e+144
 Inf
 2.12532998e+148
 3.03788346e+173
 8.39214795e+239
 2.84560138e+239
 3.00132508e+171
 1.46461422e+161
 1.12252082e+202
 3.91222210e+154
 1.15189040e+191
 6.27089647e+140
 3.09241456e+119
 3.48292744e+184
 Inf
 2.98312683e+204
 8.96349656e+162
 3.98879344e+299
 1.91588629e+139
 1.68873673e+104
 1.69645130e+156
 3.97895383e+299
 Inf
 Inf
 6.41529065e+277
 6.07408045e+244
 8.10534497e+223
 5.16015100e+197
 6.30805894e+248
 4.75459061e+261
 1.82866397e+74
 9.50165679e+82
 3.36443773e+260
 1.83841130e+216
 8.33079149e+192
 1.41399294e+190
 3.13621894e+157
 1.48139873e+136
 5.49719021e+119
 2.15268844e+96
 2.84342449e+129
 1.02268922e+219
 Inf
 Inf
 7.08413702e+149
 1.99216626e+122
 1.81129211e+169
 6.54598110e+204
 1.11599038e+291
 Inf
 Inf
 Inf
 6.51576287e-06
 6.52098898e-06
 6.51680358e-06
 6.51514497e-06
 Inf
 Inf
 Inf
 Inf
 6.51435783e-06
 6.51453447e-06
 6.51475909e-06
 6.51457710e-06
 6.51457612e-06
 6.51544359e-06
 6.51545049e-06
 6.51553419e-06
 6.51535740e-06
 6.51498659e-06
 6.51466910e-06
 6.51519015e-06
 6.51529450e-06
 6.51468980e-06
 6.51451810e-06
 Inf
 Inf
 6.51423805e-06
 6.51484443e-06
 Inf
 6.51420641e-06
 6.51465459e-06
 6.51500701e-06
 6.51495433e-06
 3.81002676e+294
 1.95150957e+244
 Inf
 Inf
 Inf
 6.51437351e-06
 Inf
 Inf
 6.51420441e-06
 6.51441320e-06
 6.51479025e-06
 6.51447174e-06
 6.51455941e-06
 6.51483195e-06
 6.51484010e-06
 Inf
 Inf
 6.51424344e-06
 6.51494473e-06
 6.51525429e-06
 6.51509814e-06
 6.51534127e-06
 6.51582523e-06
 6.51601022e-06
 6.51554966e-06
 6.51536289e-06
 6.51541903e-06
 6.51528888e-06
 6.51513565e-06
 6.51498247e-06
 6.51500054e-06
 6.51503753e-06
 Inf
 6.51429543e-06
 6.51449545e-06
 Inf
 6.51431646e-06
 6.51439709e-06
 6.51479481e-06
 6.51521986e-06
 6.51509168e-06
 6.51466010e-06
 6.51491003e-06
 6.51486828e-06
 6.51476566e-06
 6.51480176e-06
 6.51460470e-06
 6.51485017e-06
 Inf
 6.51433348e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51391265e-06
 6.51457293e-06
 Inf
 Inf
 Inf
 Inf
 1.88140512e+295
 Inf
 Inf
 Inf
 6.51434518e-06
 6.51448029e-06
 6.51461312e-06
 6.51458403e-06
 Inf
 Inf
 Inf
 6.51430808e-06
 6.51436877e-06
 Inf
 3.58461288e+164
 1.51312264e+178
 Inf
 6.51428990e-06
 6.51458166e-06
 6.51454102e-06
 6.51470172e-06
 6.51455013e-06
 6.51463217e-06
 6.51466891e-06
 6.51464690e-06
 6.51472118e-06
 6.51455488e-06
 6.51470950e-06
 6.51444482e-06
 6.51469260e-06
 6.51490424e-06
 Inf
 Inf
 6.51441305e-06
 6.51459911e-06
 6.51448532e-06
 6.51460189e-06
 Inf
 1.03326472e+281
 4.46093183e+188
 5.32593896e+162
 3.41936310e+135
 1.11416954e+202
 Inf
 Inf
 5.87519128e+230
 Inf
 Inf
 Inf
 6.51432193e-06
 6.51454083e-06
 6.51443102e-06
 Inf
 Inf
 Inf
 6.51425857e-06
 6.51477232e-06
 6.51484955e-06
 6.51499457e-06
 Inf
 Inf
 6.51416412e-06
 6.51467760e-06
 Inf
 6.51448369e-06
 6.51447727e-06
 6.51456863e-06
 Inf
 6.51432401e-06
 6.51463652e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51395469e-06
 6.51446679e-06
 6.51472977e-06
 6.51462571e-06
 6.51454007e-06
 6.51492312e-06
 6.51511401e-06
 Inf
 6.51430552e-06
 6.51438034e-06
 6.51478491e-06
 6.51514117e-06
 6.51509993e-06
 6.51464628e-06
 6.51466191e-06
 6.51486816e-06
 Inf
 Inf
 Inf
 6.51428180e-06
 6.51449024e-06
 6.51458550e-06
 6.51455808e-06
 6.51438501e-06
 6.51479832e-06
 6.51482965e-06
 6.51438170e-06
 Inf
 Inf
 6.51505537e-06
 6.51558679e-06
 6.51504835e-06
 Inf
 Inf
 6.51434485e-06
 6.51451108e-06
 6.51466580e-06
 6.51470302e-06
 6.51453671e-06
 6.51460210e-06
 Inf
 Inf
 6.51390110e-06
 6.51469183e-06
 6.04886606e+113
 5.52941147e+118
 6.51287971e-06
 6.51466308e-06
 6.51481277e-06
 6.51515434e-06
 6.51534500e-06
 6.51520437e-06
 6.51465620e-06
 6.51621339e-06
 6.51583291e-06
 6.51562350e-06
 6.51552464e-06
 6.51510408e-06
 6.51492558e-06
 6.51610434e-06
 6.51596157e-06
 6.51527097e-06
 6.51488030e-06
 6.51506395e-06
 6.51511061e-06
 6.51484731e-06
 6.51483086e-06
 6.51498759e-06
 6.51489588e-06
 6.51486172e-06
 6.51489116e-06
 6.51467443e-06
 6.51445294e-06
 6.51455720e-06
 6.51480165e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51437076e-06
 6.51452525e-06
 6.51462156e-06
 Inf
 Inf
 6.51405889e-06
 6.51478777e-06
 6.51507755e-06
 Inf
 6.51448991e-06
 6.51437008e-06
 6.51493738e-06
 6.51512155e-06
 6.51477572e-06
 6.51481207e-06
 6.51503415e-06
 6.51460205e-06
 6.51436320e-06
 6.51476551e-06
 6.51494524e-06
 6.51495671e-06
 6.51505408e-06
 6.51499919e-06
 6.51501158e-06
 6.51551645e-06
 6.51535169e-06
 6.51497685e-06
 6.51520751e-06
 6.51530432e-06
 6.51491628e-06
 6.51524637e-06
 6.51547829e-06
 6.51509224e-06
 6.51487094e-06
 6.51458934e-06
 6.51469084e-06
 6.51486310e-06
 Inf
 Inf
 6.51424467e-06
 6.51463992e-06
 6.51465768e-06
 6.51464640e-06
 6.51458817e-06
 6.51448148e-06
 6.51478055e-06
 6.51487773e-06
 6.51457911e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51420517e-06
 6.51444071e-06
 6.51468075e-06
 Inf
 Inf
 6.51436365e-06
 6.51459477e-06
 6.51475567e-06
 6.51535735e-06
 6.51530176e-06
 6.51450232e-06
 6.51447882e-06
 6.51483894e-06
 6.51478749e-06
 6.51511010e-06
 6.51507990e-06
 6.51495512e-06
 6.51438712e-06
 6.51482378e-06
 6.51502041e-06
 6.51489892e-06
 6.51498883e-06
 6.51493119e-06
 6.51490617e-06
 6.51486776e-06
 6.51517882e-06
 6.51516905e-06
 6.51491321e-06
 6.51480752e-06
 6.51435466e-06
 6.51476563e-06
 6.51491076e-06
 6.51469131e-06
 6.51453199e-06
 6.51495666e-06
 6.51544128e-06
 6.51521489e-06
 6.51508332e-06
 6.51577390e-06
 6.51596512e-06
 6.51535349e-06
 6.51466844e-06
 6.51482293e-06
 6.51503945e-06
 6.51484710e-06
 6.51583423e-06
 6.51575722e-06
 6.51518797e-06
 6.51488307e-06
 6.51520951e-06
 6.51530617e-06
 6.51575319e-06
 6.51574468e-06
 6.51556236e-06
 6.51528762e-06
 6.51493716e-06
 6.51474269e-06
 6.51492477e-06
 6.51494809e-06
 6.51455108e-06
 6.51435261e-06
 6.51473483e-06
 6.51463254e-06
 6.51444320e-06
 Inf
 6.51431014e-06
 6.51456795e-06
 6.51478951e-06
 6.51465974e-06
 6.51493046e-06
 Inf
 6.51425374e-06
 6.51470771e-06
 6.51483370e-06
 6.51453070e-06
 6.51473413e-06
 6.51546314e-06
 6.51538789e-06
 6.51502249e-06
 6.51458960e-06
 Inf
 Inf
 6.51425823e-06
 6.51456958e-06
 6.51527238e-06
 6.51524560e-06
 6.51521598e-06
 6.51548824e-06
 6.51527391e-06
 6.51538145e-06
 6.51536060e-06
 6.51504384e-06
 6.51485558e-06
 6.51490421e-06
 6.51505731e-06
 6.51541206e-06
 6.51583953e-06
 6.51570177e-06
 6.51574603e-06
 6.51545173e-06
 6.51501642e-06
 6.51493274e-06
 6.51503188e-06
 6.51488506e-06
 6.51506760e-06
 6.51523051e-06
 6.51534244e-06
 6.51518169e-06
 6.51511367e-06
 6.51529841e-06
 6.51517347e-06
 6.51543040e-06
 6.51632768e-06
 6.51563578e-06
 6.51502766e-06
 6.51450391e-06
 6.51467048e-06
 Inf
 6.51442480e-06
 6.51461341e-06
 6.51442636e-06
 6.51460708e-06
 6.51480056e-06
 Inf
 Inf
 6.51440551e-06
 6.51534131e-06
 6.51554612e-06
 6.51542746e-06
 6.51539914e-06
 6.51523567e-06
 6.51531282e-06
 6.51602305e-06
 6.51587237e-06
 6.51616897e-06
 6.51808075e-06
 6.51790747e-06
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 Inf
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 Inf
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 Inf
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