Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51418609e-06
 6.51452895e-06
 6.51482180e-06
 6.51510384e-06
 6.51529794e-06
 6.51515548e-06
 6.51524024e-06
 6.51517791e-06
 6.51453097e-06
 6.51501056e-06
 6.51591646e-06
 6.51549238e-06
 6.51498152e-06
 6.51507245e-06
 6.51518870e-06
 6.51505362e-06
 6.51502253e-06
 6.51512928e-06
 6.51515002e-06
 6.51491700e-06
 6.51512468e-06
 6.51536354e-06
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 6.51516104e-06
 6.51591224e-06
 6.51561386e-06
 6.51505989e-06
 6.51479141e-06
 6.51440218e-06
 6.51512905e-06
 6.51544442e-06
 6.51518409e-06
 6.51513204e-06
 6.51533878e-06
 6.51581507e-06
 6.51575510e-06
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 6.51503537e-06
 6.51506824e-06
 6.51481875e-06
 6.51472107e-06
 6.51461401e-06
 6.51474182e-06
 6.51467126e-06
 6.51534336e-06
 6.51667905e-06
 6.51717211e-06
 6.51898926e-06
 6.51909345e-06
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 6.51666669e-06
 6.51625328e-06
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 6.51756917e-06
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 6.51529146e-06
 6.50400266e-06
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 6.51558007e-06
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 6.51604586e-06
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 6.51511953e-06
 6.51522253e-06
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 6.51495122e-06
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 6.51517244e-06
 6.51548941e-06
 6.51518171e-06
 6.51477652e-06
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 6.51524722e-06
 6.51538372e-06
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 6.51517451e-06
 6.51477578e-06
 6.51496162e-06
 6.51533323e-06
 6.51519433e-06
 6.51494819e-06
 6.51514015e-06
 6.51563906e-06
 6.51583818e-06
 6.51534149e-06
 6.51485480e-06
 6.51463854e-06
 6.51566561e-06
 6.51549270e-06
 Inf
 6.51394711e-06
 6.51453337e-06
 Inf
 Inf
 6.51429339e-06
 6.51484869e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.78098926e+240
 Inf
 6.51430344e-06
 Inf
 Inf
 6.51409501e-06
 6.51441323e-06
 Inf
 Inf
 6.51416256e-06
 6.51442958e-06
 Inf
 6.51430298e-06
 6.51440151e-06
 6.51495443e-06
 Inf
 6.51434472e-06
 6.51460573e-06
 Inf
 Inf
 6.51436183e-06
 6.51446825e-06
 6.51470276e-06
 6.51478241e-06
 6.51441974e-06
 6.51466321e-06
 6.51467291e-06
 Inf
 6.51436664e-06
 6.51462631e-06
 6.51501519e-06
 6.51461082e-06
 6.51439158e-06
 6.51482538e-06
 6.51449134e-06
 6.51443618e-06
 6.51479931e-06
 6.51495910e-06
 6.51491055e-06
 Inf
 6.51438970e-06
 6.51456763e-06
 Inf
 6.51409716e-06
 6.51443009e-06
 Inf
 Inf
 Inf
 6.51417249e-06
 6.51479073e-06
 Inf
 6.51414584e-06
 6.51439627e-06
 6.51484855e-06
 Inf
 Inf
 Inf
 Inf
 6.51402331e-06
 6.51490313e-06
 6.51558823e-06
 6.51514989e-06
 6.51478913e-06
 6.51499218e-06
 6.51502509e-06
 6.51454024e-06
 6.51451802e-06
 6.51563435e-06
 6.51637518e-06
 6.51637890e-06
 6.51660256e-06
 6.51684240e-06
 6.51655924e-06
 6.51619614e-06
 6.51630285e-06
 6.51669909e-06
 6.51602144e-06
 6.51525429e-06
 6.51577283e-06
 6.51768105e-06
 6.51802773e-06
 6.51676125e-06
 6.51582960e-06
 6.51588922e-06
 6.51553653e-06
 6.51561579e-06
 6.51736805e-06
 6.51742446e-06
 6.51693056e-06
 6.51688703e-06
 6.51659666e-06
 6.51602901e-06
 6.51592579e-06
 6.51628250e-06
 6.51670796e-06
 6.51623661e-06
 6.51582494e-06
 6.51607100e-06
 6.51572590e-06
 6.51528763e-06
 6.51561451e-06
 6.51555136e-06
 6.51508905e-06
 6.51479539e-06
 6.51495532e-06
 6.51492524e-06
 Inf
 Inf
 Inf
 6.51443355e-06
 6.51438858e-06
 6.51489386e-06
 Inf
 6.51431157e-06
 6.51471097e-06
 6.51459020e-06
 6.51450459e-06
 Inf
 Inf
 Inf
 6.51437499e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51452315e-06
 Inf
 Inf
 Inf
 6.51443143e-06
 Inf
 Inf
 6.51389802e-06
 6.51449099e-06
 Inf
 Inf
 6.51428775e-06
 6.51463282e-06
 6.51498646e-06
 6.51579280e-06
 6.51697987e-06
 6.51678345e-06
 6.51598033e-06
 6.51689517e-06
 6.51951652e-06
 6.51834400e-06
 6.51621317e-06
 6.51519457e-06
 6.51486186e-06
 6.51497822e-06
 6.51487994e-06
 6.51480365e-06
 6.51528392e-06
 6.51514712e-06
 6.51470398e-06
 6.51460681e-06
 6.51492548e-06
 6.51486154e-06
 6.51483590e-06
 6.51498511e-06
 6.51487445e-06
 6.51465596e-06
 6.51476160e-06
 6.51460326e-06
 6.51488418e-06
 6.51499664e-06
 6.51462759e-06
 6.51490190e-06
 6.51495634e-06
 6.51454211e-06
 6.51446638e-06
 6.51490792e-06
 6.51505064e-06
 6.51483318e-06
 6.51470064e-06
 6.51489090e-06
 6.51484003e-06
 6.51469603e-06
 6.51476439e-06
 6.51469175e-06
 6.51443661e-06
 6.51474919e-06
 6.51532710e-06
 6.51516899e-06
 Inf
 6.51446597e-06
 6.51444613e-06
 Inf
 Inf
 6.51422678e-06
 6.51802878e-06
 6.52817635e-06
 6.52638722e-06
 6.52701271e-06
 6.53054560e-06
 6.53207544e-06
 6.52813157e-06
 6.52564220e-06
 6.52432978e-06
 6.52239274e-06
 6.52113437e-06
 6.52149697e-06
 6.52229027e-06
 6.52094960e-06
 6.52048875e-06
 6.52100431e-06
 6.52011639e-06
 6.51888471e-06
 6.51985492e-06
 6.52056568e-06
 6.51878302e-06
 6.51814053e-06
 6.51935131e-06
 6.52063634e-06
 6.51925627e-06
 6.51751897e-06
 6.51876222e-06
 6.52077970e-06
 6.51942424e-06
 6.51841803e-06
 6.51921846e-06
 6.51848194e-06
 6.51727562e-06
 6.51804839e-06
 6.51890320e-06
 6.51831078e-06
 6.51785262e-06
 6.51966015e-06
 6.52067775e-06
 6.51917897e-06
 6.51858374e-06
 6.51979226e-06
 6.52001262e-06
 6.51773924e-06
 6.51870745e-06
 6.52184339e-06
 6.52064474e-06
 6.51889383e-06
 6.51966559e-06
 6.52135948e-06
 6.51921304e-06
 6.51806872e-06
 6.51889602e-06
 6.51884414e-06
 6.51820152e-06
 6.51917459e-06
 6.52114610e-06
 6.52060896e-06
 6.51862134e-06
 6.51732548e-06
 6.51734400e-06
 6.51776685e-06
 6.51834395e-06
 6.51920294e-06
 6.51921682e-06
 6.51830071e-06
 6.51715711e-06
 6.51689418e-06
 6.51647131e-06
 6.51653690e-06
 6.51771595e-06
 6.51823738e-06
 6.51766381e-06
 6.51713567e-06
 6.51703598e-06
 6.51742490e-06
 6.51862457e-06
 6.51810307e-06
 6.51813137e-06
 6.51887005e-06
 6.51663308e-06
 6.51532531e-06
 6.51464319e-06
 6.51473755e-06
 6.51467128e-06
 6.51472491e-06
 6.51476666e-06
 6.51456157e-06
 6.51437119e-06
 6.51469713e-06
 6.51473847e-06
 6.51445492e-06
 6.51524943e-06
 6.51543584e-06
 6.51509411e-06
 6.51470948e-06
 6.51482755e-06
 6.51496770e-06
 6.51507391e-06
 6.51596115e-06
 6.51568952e-06
 6.51508854e-06
 6.51482634e-06
 6.51544576e-06
 6.51554986e-06
 6.51592833e-06
 6.51650139e-06
 6.51594050e-06
 6.51537867e-06
 6.51515903e-06
 6.51531231e-06
 6.51595862e-06
 6.51570842e-06
 6.51538742e-06
 6.51632689e-06
 6.51639581e-06
 6.51550317e-06
 6.51492594e-06
 6.51498884e-06
 6.51505784e-06
 6.51494232e-06
 6.51550786e-06
 6.51599928e-06
 6.51578265e-06
 6.51572440e-06
 6.51629014e-06
 6.51676417e-06
 6.51668101e-06
 6.51641409e-06
 6.51664004e-06
 6.51707191e-06
 6.51616276e-06
 6.51533940e-06
 6.51553600e-06
 6.51719073e-06
 6.51614793e-06
 6.51521496e-06
 6.51458438e-06
 6.51464081e-06
 6.51465884e-06
 6.51470711e-06
 6.51476498e-06
 6.51490202e-06
 6.51476950e-06
 6.51517247e-06
 6.51561855e-06
 6.51532060e-06
 6.51516324e-06
 6.51555751e-06
 6.51641813e-06
 6.51642728e-06
 6.51668281e-06
 6.51777717e-06
 6.51783861e-06
 6.51700802e-06
 6.51606295e-06
 6.51594438e-06
 6.51732457e-06
 6.51783153e-06
 6.51727954e-06
 6.51651363e-06
 6.51686232e-06
 6.51742702e-06
 6.51697041e-06
 6.51805813e-06
 6.51887147e-06
 6.51845297e-06
 6.51717510e-06
 6.51755260e-06
 6.51846695e-06
 6.51742086e-06
 6.51651020e-06
 6.51617015e-06
 6.51623694e-06
 6.51667580e-06
 6.51673184e-06
 6.51674242e-06
 6.52145151e-06
 6.52430257e-06
 6.51959646e-06
 6.51680152e-06
 6.51545309e-06
 6.51479754e-06
 6.51563382e-06
 6.51633773e-06
 6.51571387e-06
 6.51528837e-06
 6.51629063e-06
 6.51752026e-06
 6.51693071e-06
 6.51637581e-06
 6.51588939e-06
 6.51574939e-06
 6.51636004e-06
 6.51791626e-06
 6.51829506e-06
 6.51689116e-06
 6.51589449e-06
 6.51596073e-06
 6.51717463e-06
 6.51718537e-06
 6.51669085e-06
 6.51651686e-06
 6.51632691e-06
 6.51685663e-06
 6.51678768e-06
 6.51701526e-06
 6.51721159e-06
 6.51587125e-06
 6.51503015e-06
 6.51503623e-06
 6.51581218e-06
 6.51644870e-06
 6.51597828e-06
 6.51577701e-06
 6.51617397e-06
 6.51551353e-06
 6.51499480e-06
 6.51680213e-06
 6.51724043e-06
 6.51748425e-06
 6.51827617e-06
 6.51706195e-06
 6.51673873e-06
 6.51915287e-06
 6.52024939e-06
 6.51867686e-06
 6.51830944e-06
 6.51854247e-06
 6.51940365e-06
 6.51855059e-06
 6.51687127e-06
 6.51794489e-06
 6.51987467e-06
 6.51934176e-06
 6.51895493e-06
 6.51992038e-06
 6.52107164e-06
 6.51838150e-06
 6.51687000e-06
 6.51855023e-06
 6.52021038e-06
 6.51879232e-06
 6.51751768e-06
 6.51792211e-06
 6.51771051e-06
 6.51731718e-06
 6.51792632e-06
 6.51852737e-06
 6.51886790e-06
 6.51898168e-06
 6.51738335e-06
 6.51682051e-06
 6.51646683e-06
 6.51562609e-06
 6.51534522e-06
 6.51633301e-06
 6.51693082e-06
 6.51642487e-06
 6.51603392e-06
 6.51573770e-06
 6.51536551e-06
 6.51515152e-06
 6.51515994e-06
 6.51525392e-06
 6.51527049e-06
 6.51505669e-06
 6.51490595e-06
 6.51522193e-06
 6.51512280e-06
 6.51557096e-06
 6.51609966e-06
 6.51603233e-06
 6.51544409e-06
 6.51495278e-06
 6.51467590e-06
 6.51471946e-06
 6.51484044e-06
 6.51474029e-06
 6.51467092e-06
 6.51489695e-06
 Inf
 6.51434251e-06
 6.51493635e-06
 6.51479281e-06
 6.51491342e-06
 6.51582047e-06
 6.51581978e-06
 6.51567902e-06
 6.51577979e-06
 6.51542637e-06
 6.51498542e-06
 6.51485735e-06
 6.51582273e-06
 6.51610340e-06
 6.51557866e-06
 6.51513813e-06
 6.51542847e-06
 6.51549167e-06
 6.51508062e-06
 6.51476393e-06
 6.51519343e-06
 6.51515397e-06
 6.51489308e-06
 6.51503146e-06
 6.51501856e-06
 6.51472772e-06
 6.51498284e-06
 6.51530671e-06
 6.51615154e-06
 6.51963072e-06
 6.51798158e-06
 6.51584774e-06
 6.51536534e-06
 6.51542181e-06
 6.51521701e-06
 6.51521725e-06
 6.51504301e-06
 6.51474917e-06
 6.51457557e-06
 6.51514218e-06
 6.51578453e-06
 6.51548616e-06
 6.51528742e-06
 6.51541920e-06
 6.51519087e-06
 6.51486474e-06
 6.51493444e-06
 6.51500166e-06
 6.51480611e-06
 6.51461274e-06
 6.51477169e-06
 6.51464168e-06
 6.51449655e-06
 6.51506815e-06
 6.51561254e-06
 6.51547413e-06
 6.51527456e-06
 6.51552381e-06
 6.51577477e-06
 6.51531988e-06
 6.51475162e-06
 6.51500740e-06
 6.51519433e-06
 Inf
 Inf
 6.51410780e-06
 6.51489306e-06
 Inf
 Inf
 3.27072577e+238
 Inf
 6.51427519e-06
 6.51446710e-06
 6.51453544e-06
 6.51495450e-06
 6.51487846e-06
 6.51511900e-06
 6.51575574e-06
 6.51547130e-06
 6.51534153e-06
 6.51572620e-06
 6.51566907e-06
 6.51523236e-06
 6.51486083e-06
 6.51486490e-06
 6.51506085e-06
 6.51554723e-06
 6.51622636e-06
 6.51577503e-06
 6.51515857e-06
 6.51472881e-06
 6.51493818e-06
 6.51495414e-06
 6.51494313e-06
 6.51491258e-06
 6.51443491e-06
 6.51473778e-06
 Inf
 6.51449351e-06
 6.51445858e-06
 6.51445176e-06
 6.51470778e-06
 6.51491832e-06
 6.51466547e-06
 6.51485096e-06
 6.51505793e-06
 Inf
 Inf
 6.51434359e-06
 6.51446473e-06
 6.51469998e-06
 6.51482239e-06
 6.51475908e-06
 6.51476437e-06
 6.51486980e-06
 6.51469940e-06
 6.51451528e-06
 6.51450437e-06
 6.51544533e-06
 6.51536526e-06
 6.51478251e-06
 6.51443739e-06
 6.51465804e-06
 Inf
 6.51440199e-06
 6.51451440e-06
 6.51475447e-06
 6.51471707e-06
 6.51472032e-06
 6.51479847e-06
 6.51472514e-06
 6.51459798e-06
 Inf
 Inf
 1.48892191e+277
 7.71206371e+229
 Inf
 Inf
 5.24426900e+227
 Inf
 6.51401766e-06
 6.51444713e-06
 6.51472467e-06
 Inf
 Inf
 6.51424350e-06
 6.51462549e-06
 6.51456310e-06
 6.51452166e-06
 6.51476968e-06
 6.51501271e-06
 Inf
 6.51414596e-06
 6.51469924e-06
 6.51451066e-06
 6.51471917e-06
 6.51483333e-06
 6.51467876e-06
 Inf
 Inf
 Inf
 6.51444860e-06
 6.51481939e-06
 6.51598840e-06
 Inf
 Inf
 Inf
 Inf
 6.51418257e-06
 6.51486171e-06
 Inf
 Inf
 6.51426196e-06
 6.51463828e-06
 6.51458516e-06
 6.51461780e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.14895227e+293
 6.51391564e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.06301042e+254
 Inf
 6.51394428e-06
 6.51443206e-06
 Inf
 Inf
 6.51419349e-06
 Inf
 5.90381543e+190
 4.51213069e+136
 6.91366797e+149
 1.12571995e+162
 2.56541304e+155
 1.03177940e+219
 4.10170102e+283
 6.80025658e+217
 7.64195149e+240
 Inf
 6.51428881e-06
 Inf
 Inf
 6.51410529e-06
 6.51456573e-06
 6.51485637e-06
 6.51458656e-06
 6.51443561e-06
 6.51463034e-06
 6.51472113e-06
 Inf
 6.51425962e-06
 6.51443206e-06
 Inf
 6.51444985e-06
 6.51439561e-06
 6.51476827e-06
 4.40373032e+287
 9.69368730e+153
 Inf
 6.51427523e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51425044e-06
 Inf
 3.84225969e+237
 Inf
 6.51391047e-06
 6.51447262e-06
 6.51476897e-06
 Inf
 Inf
 Inf
 Inf
 6.51442054e-06
 6.51449502e-06
 6.51459730e-06
 Inf
 6.51438815e-06
 6.51459637e-06
 Inf
 Inf
 Inf
 6.51420220e-06
 Inf
 3.66951983e+158
 2.72292419e+292
 Inf
 3.53039046e+168
 1.15724358e+176
 1.01833029e+229
 3.24424503e+174
 3.88702260e+134
 2.21623021e+133
 Inf
 Inf
 1.02093294e+151
 3.42620044e+232
 Inf
 Inf
 1.69327325e+218
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51432661e-06
 Inf
 4.13947688e+299
 6.51391255e-06
 6.51440696e-06
 6.51472710e-06
 6.51440078e-06
 6.51472401e-06
 1.10617957e+199
 Inf
 6.51398442e-06
 Inf
 Inf
 6.51416904e-06
 6.51451311e-06
 6.51493258e-06
 6.51457387e-06
 6.51452139e-06
 6.51441907e-06
 6.51459637e-06
 6.51470730e-06
 6.51439189e-06
 6.51468580e-06
 Inf
 Inf
 6.51429028e-06
 6.51450858e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51429987e-06
 6.51443342e-06
 6.51510710e-06
 6.51520262e-06
 Inf
 Inf
 6.51432056e-06
 Inf
 Inf
 6.51409786e-06
 Inf
 1.15058766e+291
 4.97837340e+199
 Inf
 Inf
 4.20941056e+71
 2.62295190e+39
 1.27450347e+42
 1.10332325e+43
 5.68709024e+94
 2.81020376e+127
 3.12099451e+55
 2.67327342e+50
 1.53811792e+84
 Inf
 6.51407604e-06
 6.51484467e-06
 5.95632151e+190
 6.50417096e+71
 1.59585205e+45
 9.46372288e+72
 1.19712555e+113
 2.17492624e+59
 2.12816014e+88
 4.94609191e+197
 4.95184542e+135
 2.06801568e+224
 Inf
 Inf
 Inf
 Inf
 1.62021611e+269
 2.23369655e+234
 Inf
 Inf
 2.39307297e+201
 3.51664617e+189
 3.57517939e+294
 Inf
 Inf
 7.55511510e+215
 3.22222439e+238
 9.92827475e+259
 5.02456602e+256
 Inf
 2.24102722e+250
 3.34293082e+205
 2.27011896e+290
 Inf
 Inf
 2.75785203e+278
 3.53868721e+254
 6.30851862e+140
 4.47526269e+136
 3.40195901e+135
 3.08913886e+119
 2.68152150e+134
 1.04950245e+128
 9.17163679e+90
 7.47762372e+83
 6.12558393e+105
 2.75296610e+116
 1.07200883e+127
 3.72663411e+143
 4.40475722e+177
 1.17409051e+160
 2.03379348e+128
 9.75848918e+169
 3.28965289e+264
 1.29538667e+167
 5.11100947e+197
 1.29169345e+261
 3.08418410e+170
 2.22191537e+180
 1.65484001e+220
 Inf
 Inf
 3.27722275e+169
 Inf
 6.51545020e-06
 6.52397637e-06
 6.52310815e-06
 6.52446718e-06
 6.53227707e-06
 6.52377992e-06
 6.51690879e-06
 6.51510059e-06
 6.51485726e-06
 Inf
 Inf
 6.51414967e-06
 6.51445877e-06
 6.51493148e-06
 6.51453848e-06
 6.51455153e-06
 6.51470609e-06
 6.51474054e-06
 6.51474559e-06
 6.51498205e-06
 6.51512416e-06
 1.01004475e+192
 3.11522183e+119
 9.98803594e+144
 1.36721141e+141
 5.22359903e+91
 3.88486120e+127
 Inf
 Inf
 1.74034790e+193
 2.81935186e+178
 Inf
 Inf
 Inf
 Inf
 1.02437465e+281
 Inf
 Inf
 Inf
 Inf
 6.81877896e+141
 4.97325096e+165
 1.38195081e+228
 2.30946124e+200
 2.26751309e+290
 Inf
 7.12676171e+182
 3.38390134e+179
 Inf
 Inf
 4.12438169e+161
 1.30352200e+177
 Inf
 1.33662294e+261
 6.82050116e+146
 9.61360999e+232
 Inf
 Inf
 Inf
 Inf
 6.51419084e-06
 6.51453371e-06
 6.51469300e-06
 6.51489147e-06
 6.51482886e-06
 Inf
 Inf
 6.51419662e-06
 6.51463780e-06
 6.51462077e-06
 Inf
 Inf
 6.51430282e-06
 6.51461077e-06
 6.51556007e-06
 6.51547711e-06
 6.51502612e-06
 6.51465509e-06
 6.51464931e-06
 6.51496669e-06
 6.51498963e-06
 6.51444446e-06
 6.51468926e-06
 6.51488951e-06
 6.51463895e-06
 Inf
 Inf
 Inf
 Inf
 9.07689928e+286
 Inf
 Inf
 6.51444987e-06
 Inf
 Inf
 Inf
 6.10207912e+153
 3.86086622e+176
 Inf
 Inf
 Inf
 Inf
 Inf
 1.82242472e+174
 2.36304862e+125
 3.23334707e+264
 Inf
 5.69073310e+291
 8.88398900e+210
 1.88519456e+245
 2.81654332e+156
 9.67718832e+158
 Inf
 4.72330198e+274
 5.56508518e+224
 1.90468282e+162
 1.89151964e+139
 4.90604624e+135
 3.29370933e+104
 6.90570454e+103
 4.04335858e+150
 3.22693980e+125
 6.26356486e+102
 1.86309999e+109
 6.60303603e+141
 5.29229586e+181
 6.71286404e+141
 4.13761373e+115
 8.27347118e+125
 1.01031580e+97
 3.10464606e+101
 1.66331138e+262
 6.51403865e-06
 6.51526001e-06
 1.24476026e+180
 1.32913844e+185
 4.44800830e+125
 1.56776518e+126
 4.18996521e+137
 1.51654194e+154
 3.60202144e+158
 5.67596025e+111
 4.86773846e+99
 1.09217537e+130
 1.56525965e+151
 1.45261407e+117
 2.04791015e+127
 3.46069483e+108
 3.82429505e+85
 1.34747171e+100
 8.23847389e+95
 5.57147985e+120
 5.59345068e+143
 6.40321587e+150
 2.64319956e+267
 1.33059194e+204
 1.71839149e+110
 2.18944436e+142
 1.63792778e+220
 6.69138917e+155
 1.90928094e+175
 1.12611778e+202
 5.92036971e+245
 1.20091930e+223
 4.94498438e+199
 2.79813577e+195
 4.97588009e+198
 8.59784481e+165
 4.12467747e+126
 6.30167572e+114
 1.07148114e+127
 4.19730649e+120
 7.80647030e+93
 3.66413331e+114
 3.56307415e+110
 4.03172611e+82
 4.15153158e+88
 8.75557709e+100
 2.35346942e+118
 2.51338867e+117
 9.27720924e+115
 6.28489272e+114
 5.24151485e+98
 1.16830783e+99
 4.03378648e+107
 2.09463560e+104
 2.19255436e+97
 1.00845194e+84
 9.90876854e+95
 2.81027751e+94
 9.43875006e+61
 2.80093736e+63
 5.41459248e+72
 1.54577897e+75
 2.04768958e+76
 1.80733713e+63
 1.74070311e+72
 1.92282210e+94
 8.35030144e+89
 2.33116523e+94
 2.51417674e+100
 3.34019210e+112
 1.08805290e+101
 2.89124925e+67
 7.06623746e+65
 1.20898138e+75
 8.45222899e+74
 1.19861390e+113
 1.05838230e+201
 Inf
 3.51677558e+232
 8.76532649e+206
 Inf
 6.51429830e-06
 Inf
 7.40395317e+193
 5.74292190e+190
 Inf
 1.13842698e+274
 1.97267527e+248
 1.60847591e+269
 Inf
 6.51440580e-06
 6.46051005e+243
 3.92885327e+154
 6.04761533e+130
 3.17756959e+160
 2.37583948e+208
 7.63758633e+120
 1.85166918e+88
 3.63797309e+87
 7.08893490e+94
 6.65836863e+80
 2.27030943e+74
 1.20652720e+97
 8.79332182e+80
 1.07853474e+75
 1.01603056e+124
 5.48214179e+119
 6.29980384e+81
 1.97778160e+83
 4.62107304e+82
 6.20050529e+73
 3.45075927e+72
 2.01247020e+81
 6.91224771e+87
 4.29889667e+77
 8.80317210e+73
 1.67880011e+79
 2.84865715e+75
 6.27067523e+86
 8.03774095e+88
 2.09390604e+69
 3.16171096e+69
 2.04230203e+76
 2.56201508e+77
 2.23048953e+75
 1.90678832e+87
 4.59609489e+86
 1.55870441e+88
 1.24056680e+107
 4.45992491e+85
 9.28581195e+76
 7.56797189e+78
 1.39969660e+70
 2.46025973e+117
 8.43697492e+130
 1.81121771e+74
 2.92030383e+68
 1.43641744e+62
 5.10071310e+64
 4.27386034e+79
 6.90725849e+87
 2.05696767e+85
 1.21906325e+75
 3.97232173e+68
 3.66580160e+70
 5.21455979e+74
 3.78081244e+85
 5.78027526e+80
 5.72004363e+71
 3.89954938e+86
 3.17066327e+107
 7.14825942e+100
 2.44870777e+106
 5.18760091e+91
 1.93164560e+79
 4.61368453e+82
 3.72193450e+93
 2.64536542e+76
 5.75911202e+57
 1.55195012e+65
 1.06638361e+91
 9.66840559e+119
 1.35740268e+121
 1.03698366e+110
 1.32264578e+110
 2.61946200e+104
 1.70973601e+102
 3.98465498e+129
 2.84258960e+127
 2.76946491e+116
 5.81431525e+100
 5.92090595e+87
 9.98170854e+104
 9.88054329e+106
 1.70166804e+82
 1.69559339e+69
 2.84012042e+84
 2.23633324e+75
 4.67842754e+64
 1.55556272e+84
 5.75453527e+113
 3.62516807e+92
 7.24336540e+56
 1.45534472e+56
 5.61276675e+70
 1.09507134e+82
 1.21845614e+73
 6.64037173e+68
 8.42501459e+79
 1.37409709e+78
 8.11432026e+87
 3.84722119e+109
 2.60211347e+96
 5.43892247e+81
 2.31786523e+78
 2.13241406e+67
 5.94837501e+69
 3.08358290e+93
 2.51336511e+100
 5.44487824e+81
 8.61223051e+75
 1.90154987e+98
 8.16075072e+114
 4.64382914e+96
 2.44515735e+106
 2.16946725e+167
 1.81152238e+216
 1.49271719e+136
 8.49333492e+165
 6.07143007e+257
 3.62201775e+294
 Inf
 2.04071218e+168
 1.22153482e+96
 1.96340339e+122
 4.10688819e+119
 4.53626271e+84
 8.72019931e+91
 8.35547957e+130
 3.12351054e+100
 2.58938169e+69
 1.43017174e+67
 3.64648812e+71
 1.26334305e+82
 4.40643416e+103
 2.45088556e+106
 4.63374301e+96
 5.04223218e+89
 3.59633693e+89
 4.78363647e+97
 1.45905667e+96
 1.57673922e+84
 9.98031844e+96
 1.21449469e+215
 6.55041261e+242
 3.34537850e+142
 1.70758986e+165
 3.29814747e+205
 3.91385245e+154
 2.47781827e+106
 1.13290036e+88
 3.54643101e+103
 3.10386793e+238
 Inf
 Inf
 1.87144416e+216
 6.12387079e+125
 1.85896456e+103
 5.57996914e+83
 5.10344272e+78
 2.56278465e+89
 6.37428927e+136
 1.00064432e+151
 5.27679920e+98
 4.43343278e+68
 6.15541739e+64
 1.29241384e+65
 1.76116152e+55
 5.37416308e+60
 4.53363846e+86
 1.76752458e+92
 8.25380729e+84
 5.22616016e+84
 6.55235436e+66
 2.37994027e+70
 1.07375296e+75
 5.39861035e+134
 4.85382088e+199
 7.32558673e+81
 7.99754990e+71
 2.16254225e+73
 2.74692341e+65
 1.20871078e+75
 8.15742261e+77
 1.21660064e+73
 2.84587283e+84
 2.27323183e+74
 1.23417268e+95
 2.61908658e+102
 7.44663205e+79
 6.63703898e+78
 2.19744708e+72
 2.04340631e+85
 7.52686318e+148
 1.79633875e+118
 1.98242600e+72
 1.93804661e+122
 Inf
 Inf
 3.57902050e+145
 8.25210521e+87
 4.90375218e+88
 7.08383844e+84
 7.19464375e+77
 2.32093770e+81
 8.30996054e+89
 4.02809827e+90
 2.99465364e+76
 8.59412287e+75
 4.88012456e+68
 5.76063144e+67
 3.81346871e+76
 9.66054226e+72
 2.93016461e+71
 7.84467113e+70
 1.02072305e+62
 1.98140675e+59
 6.32937918e+71
 6.60033197e+80
 1.29723524e+85
 1.24933137e+105
 3.55202603e+69
 6.69059095e+55
 2.43137302e+72
 5.42699309e+118
 8.70035330e+160
 1.21736166e+196
 6.51359327e-06
 Inf
 2.25139090e+158
 2.96663418e+172
 8.29309833e+157
 1.82925708e+169
 4.49933545e+103
 4.61908798e+86
 1.82535583e+84
 1.05653496e+58
 8.10587334e+62
 1.95874783e+83
 1.63692869e+90
 1.14228957e+160
 7.38732575e+298
 1.07002705e+175
 3.14333391e+100
 2.60573489e+93
 2.46877899e+84
 6.63570082e+80
 7.60946109e+75
 2.72085259e+66
 1.55724215e+84
 3.25404080e+121
 6.63032515e+141
 6.03286067e+130
 3.09881351e+157
 1.61147340e+272
 2.01290120e+168
 1.94078691e+124
 2.55972384e+219
 7.64386234e+240
 5.95740559e+245
 1.82201376e+235
 8.83454000e+210
 1.93696500e+182
 2.21352698e+158
 2.85096003e+140
 1.48996515e+163
 2.07938668e+230
 3.48682891e+168
 4.95026544e+198
 4.74129798e+265
 3.53372863e+254
 2.85084929e+239
 2.97474893e+209
 Inf
 Inf
 3.27724866e+238
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.83321165e+153
 1.78746139e+96
 1.51306977e+93
 1.32406100e+89
 6.44536349e+93
 4.53750205e+110
 2.58355369e+91
 1.06361275e+78
 2.52017432e+75
 4.64144167e+75
 2.23757389e+87
 3.89013884e+73
 2.73155792e+59
 3.94203935e+68
 6.31041421e+76
 2.91258366e+77
 1.05796183e+68
 1.35928823e+73
 1.56074284e+78
 5.25389978e+75
 7.16922333e+77
 1.07831192e+65
 3.99256141e+66
 4.33508206e+73
 7.36469529e+68
 2.00868428e+81
 3.08485363e+101
 2.06562948e+85
 1.25007244e+76
 8.45471212e+79
 5.85390283e+139
 9.81072656e+119
 1.31171713e+85
 2.26130396e+145
 Inf
 Inf
 1.04398796e+136
 2.31806435e+119
 2.05060552e+113
 3.62957493e+116
 9.97405294e+228
 Inf
 Inf
 7.11262046e+182
 1.86247259e+286
 1.82993812e+235
 3.78748820e+186
 Inf
 Inf
 6.88019065e+146
 4.23577588e+147
 4.93139857e+200
 9.50912052e+152
 7.82977449e+126
 6.20955168e+105
 2.34804568e+98
 1.34535196e+94
 3.07842240e+106
 1.73861607e+120
 3.14134760e+118
 1.25288539e+107
 3.38527702e+111
 2.30383184e+119
 8.05665840e+121
 2.16450162e+130
 9.90150947e+141
 2.83495184e+187
 6.33478098e+179
 2.42627358e+115
 1.98443800e+105
 9.81289355e+113
 1.40826792e+124
 2.29954552e+145
 1.66031019e+143
 6.33333930e+116
 8.87666105e+137
 4.97929393e+185
 2.09066840e+230
 3.34191347e+142
 5.05864117e+157
 Inf
 Inf
 8.18025495e+223
 2.82308394e+110
 5.96287685e+121
 1.98011805e+122
 2.62277317e+124
 7.34172013e+205
 6.28170533e+140
 4.13681082e+115
 2.53052889e+107
 3.26705632e+142
 1.85233447e+245
 1.03566089e+136
 2.05956048e+111
 2.65468972e+113
 1.32176805e+86
 2.44660172e+58
 5.71245936e+62
 2.22729568e+82
 9.84308353e+89
 4.27547909e+87
 1.27183219e+82
 1.20742560e+78
 7.55868180e+63
 7.02627226e+67
 6.60059944e+78
 2.98309687e+76
 3.67822303e+70
 2.86417907e+67
 5.38951080e+68
 1.08705578e+71
 2.02907100e+60
 6.20854419e+55
 3.36053796e+61
 8.11920677e+68
 5.76151810e+67
 4.84185759e+72
 3.27885728e+79
 2.52168657e+75
 3.17037745e+69
 1.66523122e+80
 1.70730184e+83
 2.46450831e+72
 1.07610356e+65
 2.44877485e+64
 3.28357179e+70
 1.65052295e+63
 5.34288432e+66
 9.61719356e+72
 1.38377223e+66
 5.60534664e+64
 5.47175837e+73
 1.25540929e+70
 1.86620508e+64
 1.77703012e+74
 6.70877758e+75
 8.40890247e+58
 1.45720751e+56
 1.79019840e+63
 1.04599816e+61
 1.92666082e+58
 1.58191203e+61
 9.75303604e+64
 7.03022165e+67
 5.68912479e+71
 1.88393352e+71
 1.70778171e+62
 8.19887817e+81
 6.42620518e+83
 7.22788017e+56
 6.25113170e+63
 5.34442619e+66
 3.06906481e+63
 7.17026821e+54
 1.83302083e+54
 1.06317198e+75
 9.85879285e+78
 8.77539245e+66
 4.25166540e+64
 3.00682637e+65
 1.68260398e+71
 3.67032571e+70
 1.14729495e+59
 1.58263016e+61
 9.98649860e+68
 1.11100241e+62
 1.34735335e+60
 2.21290803e+61
 7.50173869e+60
 7.61977181e+72
 7.84977234e+70
 1.21209167e+75
 1.43359367e+67
 7.09078125e+59
 9.03003975e+58
 6.68049426e+54
 Inf
 6.51853355e-06
 6.52377490e-06
 6.52815135e-06
 6.52566275e-06
 6.52247081e-06
 6.52038763e-06
 6.51680024e-06
 Inf
 1.99238725e+182
 2.50793362e+143
 2.55421663e+92
 2.26948922e+58
 3.99495580e+63
 2.60802779e+87
 3.46835475e+82
 1.82256311e+84
 1.28016219e+91
 1.36113631e+77
 8.45954282e+74
 8.58909502e+75
 1.68029291e+79
 7.83137153e+73
 1.39624141e+57
 7.69419055e+56
 1.70110543e+73
 6.70572777e+75
 3.40652297e+57
 3.91222277e+49
 2.89655735e+57
 5.26534952e+82
 1.39060146e+87
 1.43937787e+67
 5.11318363e+64
 1.04670745e+61
 1.34104474e+61
 1.15155960e+84
 4.78406769e+83
 3.76436313e+59
 1.52885518e+55
 1.12650143e+58
 1.51070782e+69
 2.04370655e+64
 9.62549365e+56
 7.48304317e+78
 2.04970162e+85
 1.57785688e+59
 6.35234715e+60
 1.20046718e+106
 9.46695758e+151
 1.49771499e+97
 5.04297303e+89
 2.74713531e+190
 5.95077384e+164
 9.10598129e+101
 1.33963444e+118
 7.90916084e+134
 7.05190528e+73
 3.12519558e+48
 5.74354969e+55
 4.51726255e+70
 1.27710437e+120
 1.01655366e+136
 2.05829236e+113
 1.95805305e+168
 4.22895755e+120
 1.03965149e+95
 2.51146464e+101
 8.29529563e+82
 3.75154247e+56
 4.84460514e+50
 2.07588581e+56
 2.93330791e+59
 1.06940998e+65
 2.02644972e+66
 2.96574602e+76
 4.35489442e+73
 1.92771265e+67
 1.57707638e+67
 4.44894745e+54
 2.42926645e+72
 3.74749537e+151
 2.42231258e+147
 1.19269272e+149
 2.38213852e+118
 3.10126142e+106
 5.88277449e+101
 1.12082814e+94
 4.74490371e+116
 1.47811244e+82
 3.32750086e+65
 1.06220013e+67
 1.64426208e+55
 1.21545740e+58
 4.23775333e+77
 2.19705833e+79
 1.10197813e+76
 9.89691131e+73
 2.90557491e+126
 Inf
 2.09882798e+164
 1.22469136e+123
 2.17494605e+110
 3.02249883e+82
 9.68162172e+72
 1.45818499e+82
 5.80754549e+97
 6.83949463e+88
 7.49721881e+113
 1.01660736e+208
 6.55351982e+136
 2.49230680e+72
 2.03319602e+66
 5.06357637e+78
 3.62434007e+87
 1.18831709e+87
 1.93632537e+94
 3.09369200e+100
 3.61447555e+116
 7.84990541e+106
 7.30918031e+142
 5.18171709e+178
 1.79267300e+96
 2.11716801e+92
 1.07030539e+104
 1.54131825e+86
 1.25396349e+72
 1.72899008e+70
 7.92821863e+66
 3.35577107e+63
 6.03101131e+59
 1.20567340e+73
 5.79834635e+78
 1.34318316e+100
 3.11041717e+87
 2.58707397e+63
 1.15333108e+84
 1.63744321e+90
 4.30289660e+92
 2.18071364e+89
 5.88832945e+94
 5.09901467e+104
 3.58472881e+83
 3.81704401e+80
 3.79081455e+85
 1.25876893e+93
 5.79446123e+80
 3.52887961e+69
 5.84781020e+87
 8.33111212e+89
 1.11775258e+85
 9.47702772e+88
 2.39847149e+85
 1.92765796e+79
 1.75355159e+72
 1.94034769e+82
 4.26300914e+87
 4.13328339e+83
 8.31783311e+89
 1.07495930e+122
 4.69008423e+191
 3.62533418e+158
 4.43161795e+125
 5.59431513e+108
 3.20101473e+95
 4.08573498e+115
 1.66759503e+114
 9.55885655e+88
 2.56693687e+91
 4.89072032e+105
 6.26564308e+114
 6.39736222e+133
 1.44789940e+117
 3.20345744e+107
 2.77456575e+110
 3.11728794e+101
 8.68378768e+97
 8.98247600e+101
 5.60054873e+126
 1.01846998e+136
 3.50320314e+145
 1.92792866e+160
 1.48597682e+142
 1.55912558e+106
 3.87349013e+109
 1.15346336e+160
 9.77230837e+185
 9.72720999e+158
 2.91431105e+144
 1.65866032e+172
 5.08954749e+157
 7.58525094e+110
 4.92237625e+105
 3.05846591e+136
 2.81462893e+128
 2.20215350e+142
 6.78548469e+209
 6.15111620e+151
 1.46064399e+166
 6.83429887e+184
 4.97224103e+142
 3.10871020e+157
 9.95525695e+154
 1.06223272e+129
 1.31210487e+134
 9.77618061e+169
 1.49958116e+163
 3.48181598e+108
 3.66837021e+75
 2.15109528e+68
 1.52579024e+73
 1.29311319e+68
 6.11489535e+61
 1.76727650e+78
 7.17733488e+77
 1.09128482e+71
 9.47780543e+110
 8.04032762e+145
 7.61804638e+113
 3.75908349e+93
 1.28086867e+83
 1.21174563e+97
 5.88289094e+138
 7.26075324e+156
 3.80358688e+206
 9.42669217e+171
 4.93537762e+135
 4.39478186e+177
 3.54210192e+260
 2.23460225e+167
 4.09220491e+139
 4.93250607e+142
 3.06049686e+109
 8.69345087e+147
 1.92901575e+160
 6.71546247e+131
 2.16036110e+126
 2.84024469e+127
 2.41136031e+161
 1.56365718e+106
 8.53617609e+79
 4.04930422e+104
 9.67923830e+173
 3.72998761e+210
 7.79648243e+233
 9.65494023e+153
 1.22512771e+78
 2.12777158e+99
 2.02967404e+224
 7.78871029e+148
 9.07019170e+99
 2.49894661e+196
 Inf
 1.30665559e+139
 3.28420894e+102
 2.19463029e+133
 3.34505656e+179
 7.62405581e+127
 8.26950441e+107
 7.61280434e+148
 5.06567953e+102
 1.38416284e+69
 3.18017523e+99
 4.84599085e+135
 2.89370044e+136
 1.07740624e+198
 6.51404754e-06
 6.51539630e-06
 5.04127024e+99
 3.43291816e+113
 6.23144581e+64
 3.80727800e+76
 1.14402084e+157
 7.84694022e+105
 1.07520101e+104
 7.24616923e+58
 4.05616838e+50
 4.84490687e+76
 1.11436770e+89
 1.27901982e+83
 5.55323962e+77
 6.83191321e+103
 1.13060510e+135
 1.35673201e+94
 8.34963333e+89
 2.79086803e+140
 3.59364704e+124
 3.26042839e+97
 1.08325573e+101
 4.64706608e+82
 3.06207305e+60
 1.48414689e+61
 1.83580442e+66
 9.93834632e+71
 2.00873542e+74
 8.16925216e+68
 4.85977261e+66
 7.03626007e+67
 2.62928424e+68
 2.27099827e+65
 5.81694265e+94
 1.12812273e+176
 3.73564984e+147
 1.23179703e+97
 1.10829121e+83
 2.73946579e+73
 2.99478979e+66
 9.98183786e+80
 1.16380707e+84
 5.51768135e+73
 3.82460427e+76
 1.10980728e+80
 3.04405702e+91
 5.78826579e+88
 3.59856136e+92
 1.71767235e+119
 5.33050063e+119
 8.95601859e+122
 3.06903505e+89
 9.73354877e+79
 1.91084829e+87
 1.37771732e+78
 2.96608714e+70
 1.36785166e+75
 2.13603157e+110
 1.59596574e+116
 5.40454596e+173
 Inf
 2.36064937e+241
 5.88337362e+195
 2.79619617e+195
 1.23468862e+113
 3.26508935e+90
 6.82334472e+88
 8.67874693e+78
 1.46212342e+82
 2.27630260e+119
 9.24639273e+171
 7.21814234e+97
 2.45325721e+58
 8.87279276e+64
 1.69424060e+83
 4.49933078e+83
 2.72754719e+66
 9.46228876e+82
 1.43573906e+181
 4.85824618e+211
 6.59669960e+204
 1.14662527e+197
 1.94576770e+160
 4.75653043e+100
 2.93526861e+77
 1.41108715e+76
 1.78063715e+78
 4.41350807e+65
 2.37274927e+85
 1.20338193e+215
 2.95070921e+204
 4.51918636e+136
 4.10043332e+155
 5.87675949e+203
 1.39324798e+228
 6.33552768e+269
 Inf
 Inf
 Inf
 Inf
 Inf
 3.14219681e+194
 3.79604952e+153
 1.22689185e+116
 5.29400697e+145
 1.67248428e+206
 2.85891096e+94
 1.22384380e+106
 3.31735793e+276
 4.10560283e+161
 2.06825291e+111
 3.02921437e+130
 4.87998785e+183
 2.79714480e+156
 7.29062908e+156
 Inf
 Inf
 5.86158800e+190
 9.40575032e+171
 3.89194811e+151
 1.48091532e+129
 2.00678939e+249
 9.90324212e+185
 1.48775292e+136
 2.09868818e+176
 5.31827567e+160
 5.70610654e+190
 Inf
 Inf
 1.60385604e+147
 1.60509778e+111
 2.54330549e+219
 6.51437496e-06
 6.51581211e-06
 1.30604798e+196
 5.47743117e+195
 3.17999264e+118
 5.97717997e+121
 1.83553480e+245
 3.49186577e+168
 8.98003864e+137
 1.88240352e+139
 5.85308165e+113
 4.05942066e+150
 4.11435642e+126
 2.66551582e+87
 7.27496866e+99
 1.46906384e+80
 7.95848464e+66
 1.79422309e+91
 9.60678454e+173
 3.78427826e+152
 9.47990344e+112
 7.83366831e+129
 8.10281662e+177
 1.21778355e+164
 5.48776156e+127
 5.54940909e+118
 7.33996007e+142
 2.89002934e+137
 5.27165332e+162
 2.77840608e+195
 2.58952414e+185
 2.57478626e+183
 3.53439419e+145
 8.14055966e+177
 1.20276609e+203
 2.15149210e+214
 6.74635376e+217
 8.74848186e+206
 9.52427114e+238
 1.68170787e+218
 2.29599677e+199
 5.29992330e+171
 3.37972558e+84
 2.38941982e+68
 4.25873289e+92
 3.40486563e+164
 3.69204154e+213
 6.54877249e+242
 2.74012400e+273
 9.82627975e+178
 6.35413619e+175
 2.18298828e+250
 1.86149075e+295
 1.00151571e+174
 1.87281697e+103
 1.19405336e+87
 1.16650575e+84
 2.65424835e+83
 8.13269401e+87
 1.05248059e+93
 4.39868241e+121
 4.88404148e+135
 2.72779723e+108
 3.06747509e+119
 1.63430796e+135
 3.09009744e+91
 9.57780849e+81
 2.01817811e+127
 Inf
 1.31101703e+261
 1.00814338e+155
 1.77530389e+174
 2.28952411e+200
 2.00473560e+137
 1.83134596e+121
 1.96403133e+168
 1.40751921e+190
 4.07047854e+161
 6.46064491e+98
 2.65645632e+78
 4.77366494e+83
 5.37366590e+86
 6.99394766e+115
 9.77724706e+118
 6.35908308e+150
 8.22875901e+192
 6.86802331e+184
 7.46780331e+205
 1.73681936e+102
 5.85069657e+97
 1.10163197e+100
 2.16672221e+68
 8.38544162e+58
 1.71759638e+54
 6.41785808e+52
 1.28408293e+57
 2.78067978e+56
 2.98810958e+56
 4.36811144e+65
 4.79732095e+63
 5.60587367e+61
 6.28586642e+76
 3.90928391e+86
 1.79401498e+74
 5.88970357e+74
 5.35270096e+86
 3.01795701e+78
 3.87498926e+67
 1.05368451e+68
 7.79304453e+73
 9.93008727e+96
 5.86518166e+101
 3.34440593e+65
 1.04481376e+77
 7.56664589e+180
 1.46692980e+161
 7.73012211e+132
 1.17513802e+255
 Inf
 1.51519849e+277
 6.84844449e+161
 1.80503323e+179
 6.71053154e+141
 3.04655947e+123
 3.11881505e+100
 1.65968946e+114
 1.56323601e+147
 2.65462164e+111
 2.09777732e+116
 2.53491661e+155
 1.25685708e+125
 5.62359053e+120
 9.35719224e+152
 2.37002050e+98
 1.79399519e+78
 1.65068064e+100
 6.36328222e+133
 4.18360670e+118
 5.81730301e+100
 4.31948842e+112
 1.08682135e+133
 1.58627444e+113
 1.98063132e+72
 1.08273863e+64
 2.22911371e+82
 8.77449998e+92
 1.92710981e+80
 4.41654432e+65
 5.35806388e+90
 7.97507659e+121
 1.58231914e+113
 9.83453767e+154
 5.43449208e+132
 9.90774567e+141
 2.90525409e+204
 2.15594172e+136
 1.87878391e+109
 1.04220309e+128
 1.47345239e+129
 1.68382427e+173
 4.18135516e+180
 8.14718548e+121
 1.15881669e+160
 7.91356622e+106
 3.03471802e+78
 1.12781523e+79
 8.18395056e+68
 7.53200709e+63
 2.98184653e+66
 1.13895947e+66
 3.40151031e+62
 5.67298534e+71
 1.95688405e+72
 1.43199524e+67
 3.40319282e+62
 1.94781395e+72
 5.31401186e+82
 1.16106752e+99
 5.93900425e+121
 3.08256190e+91
 3.00033927e+88
 6.78439609e+95
 1.33772745e+104
 4.08828773e+104
 1.39127350e+90
 5.76759573e+100
 2.18112372e+142
 1.04815858e+175
 3.83966373e+132
 3.29177138e+104
 2.16780687e+91
 3.89035844e+67
 2.32630247e+59
 3.24977895e+71
 2.10245561e+71
 4.70289188e+55
 6.10391026e+58
 3.72760069e+59
 1.33536813e+59
 5.88304152e+75
 1.58553737e+68
 1.25231493e+70
 1.11438668e+86
 2.64638201e+78
 6.12067762e+91
 1.76753026e+85
 3.83694560e+95
 2.57866292e+150
 1.56814838e+112
 4.44153244e+141
 2.83465993e+187
 6.01322189e+138
 4.20305359e+137
 1.35253557e+118
 6.35490678e+86
 7.62531840e+75
 1.46017280e+82
 2.20191513e+80
 6.12607529e+91
 6.11437762e+140
 9.89914789e+113
 1.12534666e+74
 2.31467988e+94
 6.80778977e+149
 4.81540770e+116
 3.69188503e+114
 4.17529528e+137
 3.34954098e+131
 4.12910248e+115
 2.87428745e+98
 2.15944047e+110
 2.39653111e+161
 8.79861813e+160
 6.95025120e+149
 5.63472671e+143
 1.77035486e+174
 2.38108310e+251
 7.02972005e+221
 3.52645878e+189
 1.94748063e+248
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.81305536e+259
 3.86139354e+167
 6.35773866e+116
 2.96295953e+126
 7.35705854e+142
 2.67392935e+113
 2.19318591e+89
 2.52222210e+92
 5.57015987e+77
 2.50418794e+65
 6.26773646e+77
 8.64659646e+67
 3.26541915e+71
 9.47954736e+102
 2.58678129e+112
 7.77917902e+105
 1.33818578e+81
 1.10270889e+76
 2.04710977e+85
 9.98506197e+96
 2.08755026e+104
 1.59290747e+116
 6.29469277e+116
 4.64586826e+96
 1.34461080e+94
 2.57150096e+91
 5.38876420e+86
 1.55875392e+88
 1.52438522e+91
 4.25536658e+89
 1.69347586e+82
 2.29032815e+83
 4.24444237e+98
 5.40084524e+86
 2.99535036e+88
 5.57550758e+111
 2.34655125e+94
 2.18193838e+89
 1.93801788e+94
 1.39154536e+115
 6.51409725e-06
 6.53215226e-06
 6.44348655e-06
 6.52431420e-06
 6.51680814e-06
 Inf
 Inf
 2.73442449e+132
 5.89218485e+97
 4.74412593e+101
 2.37507059e+109
 1.43470320e+99
 8.22398357e+77
 2.62884613e+71
 8.58859022e+86
 7.34775983e+92
 4.71708018e+81
 8.96351060e+64
 5.94118523e+69
 3.63305834e+152
 7.87167006e+251
 Inf
 Inf
 6.51447400e-06
 6.51662845e-06
 6.51618057e-06
 6.51528562e-06
 Inf
 Inf
 7.20136680e+159
 9.96535925e+141
 2.18496766e+114
 2.38410508e+109
 1.21663581e+113
 5.85785008e+110
 1.25077288e+95
 5.75846985e+117
 3.19664663e+148
 8.33757720e+125
 5.04498019e+102
 6.06710897e+85
 3.29637721e+79
 8.21501017e+84
 1.00878437e+69
 1.72667667e+70
 1.32160129e+81
 5.59382099e+76
 2.78259023e+85
 3.38924471e+76
 1.37218417e+78
 3.31548464e+84
 1.21874116e+75
 1.58244536e+67
 1.67310407e+79
 4.65949324e+100
 7.49922080e+83
 5.41668647e+81
 1.12055513e+86
 3.25724030e+85
 5.58195404e+96
 3.25027533e+102
 5.87589682e+101
 4.14689068e+74
 2.93213628e+71
 4.28820880e+111
 1.47880671e+127
 1.12754970e+94
 4.89576269e+105
 7.82608465e+106
 4.70834476e+100
 9.60468013e+102
 3.65365065e+91
 1.28651268e+98
 1.67470959e+108
 4.18548130e+88
 1.95338979e+82
 7.30745096e+91
 2.46757957e+84
 2.32691821e+81
 2.32549626e+76
 1.34823997e+84
 2.58008033e+96
 3.04918872e+89
 3.84769751e+90
 3.47198140e+82
 1.52784705e+69
 3.11015120e+61
 6.35953117e+60
 3.70289469e+151
 1.35516444e+148
 2.61295511e+63
 4.82208488e+65
 1.74730488e+68
 3.29251339e+66
 2.54996690e+77
 3.11740052e+96
 1.17172260e+90
 1.76180859e+81
 7.07183013e+97
 5.76478781e+117
 4.92949434e+94
 2.86300074e+75
 5.11122948e+92
 4.89321513e+105
 5.85671217e+97
 1.31656184e+86
 6.67112586e+68
 2.30806936e+69
 4.59193400e+82
 3.81590759e+80
 2.99569719e+82
 9.55884511e+87
 3.46278251e+73
 2.96067741e+70
 1.77596247e+78
 2.13990878e+110
 1.04592559e+111
 4.30027819e+87
 3.84067586e+95
 1.38763668e+90
 3.30115919e+79
 8.77667000e+70
 1.52108620e+69
 5.76205572e+67
 1.31971994e+58
 1.83315760e+66
 8.41313707e+79
 2.46353697e+64
 1.42203334e+58
 9.36276888e+65
 1.06236981e+67
 9.73698728e+70
 4.08893159e+70
 2.57248551e+63
 2.96084345e+76
 3.31658737e+80
 3.08858071e+72
 5.49299872e+73
 3.06628872e+73
 4.91661502e+76
 1.00330840e+81
 2.63228465e+87
 8.94684993e+101
 1.57601254e+107
 1.49074957e+92
 1.22165237e+75
 7.16732335e+77
 8.20904855e+84
 4.11035033e+70
 3.44602444e+72
 3.58144099e+68
 5.95187725e+69
 1.49565785e+93
 1.52713046e+91
 1.08218064e+75
 1.37129149e+78
 4.86571309e+94
 6.38182552e+104
 1.28483165e+83
 7.39006409e+68
 9.78986757e+64
 1.98422901e+59
 1.34547732e+60
 6.72382741e+64
 1.87752523e+71
 4.08944460e+70
 2.45503852e+64
 7.51599580e+63
 1.79793551e+63
 8.59109722e+67
 7.56639972e+75
 5.44707782e+72
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 7.68663304e+105
 1.92375223e+98
 3.36680112e+86
 8.19898529e+95
 4.60907134e+86
 2.36121874e+71
 3.07575301e+87
 2.57106953e+112
 8.63317457e+103
 2.09240417e+104
 1.23658843e+111
 5.02731736e+102
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 7.68792405e+102
 4.09513457e+123
 3.30166197e+121
 4.39411315e+108
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 3.53645364e+88
 7.14712485e+82
 2.03434046e+100
 8.20827263e+107
 7.42723586e+86
 8.18530149e+76
 1.56572770e+84
 2.13394494e+99
 1.06597325e+78
 6.64301857e+69
 4.32471699e+72
 2.62540658e+76
 4.99476291e+87
 3.24082657e+90
 9.60223134e+84
 1.78673407e+78
 2.11316767e+84
 1.03421436e+108
 5.61287986e+126
 3.11422788e+81
 2.43777490e+73
 2.73326684e+110
 1.71269120e+102
 3.34506346e+80
 6.42245275e+93
 4.95101722e+79
 7.60898875e+80
 1.44352296e+122
 7.31551007e+119
 2.59507757e+89
 3.24304135e+90
 2.48914484e+117
 1.67325161e+100
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 1.56257135e+88
 1.56066282e+89
 2.62057967e+99
 1.19339027e+103
 3.65499726e+87
 1.21995142e+75
 1.65703685e+108
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 1.56628778e+112
 2.56213239e+88
 5.13020156e+71
 2.04451316e+76
 5.86315638e+65
 3.87555725e+64
 4.86715125e+73
 5.36860639e+66
 3.58594881e+60
 3.61395161e+66
 7.56088526e+75
 6.64786988e+68
 7.52770487e+60
 4.03662112e+62
 8.73956116e+73
 1.31735556e+88
 4.62913792e+82
 1.68923365e+82
 1.70870117e+83
 2.92978764e+68
 3.86125410e+73
 1.68777013e+102
 2.61326513e+104
 1.30853788e+65
 3.99827378e+61
 1.76706689e+78
 3.06731201e+83
 3.62947058e+91
 5.37515173e+93
 2.08507154e+104
 9.62759378e+87
 1.89504900e+71
 1.09739327e+83
 1.89466756e+124
 2.05022051e+101
 3.79466872e+77
 8.69288456e+91
 9.93973083e+95
 9.60489290e+87
 1.47541009e+97
 5.60634152e+96
 7.05977537e+89
 1.68902012e+79
 2.58065978e+63
 1.86053739e+64
 1.96045641e+83
 2.86290014e+86
 1.89417152e+71
 3.74852126e+79
 7.32485438e+92
 4.09612337e+81
 7.36560842e+86
 4.42919731e+133
 2.16130223e+126
 1.95739540e+94
 6.45412023e+83
 7.21238725e+119
 2.44798516e+151
 3.05935894e+130
 2.26185834e+200
 2.57736082e+196
 4.14058719e+126
 7.85802010e+98
 2.64323039e+95
 8.04672351e+109
 3.68480753e+114
 4.87120613e+99
 7.35296897e+91
 3.24448498e+102
 3.34263874e+112
 9.63784957e+102
 2.75035674e+116
 2.88369078e+144
 2.32192096e+119
 5.90232119e+101
 Inf
 6.51427184e-06
 7.56701283e+99
 5.57489243e+83
 9.54778677e+110
 8.03242532e+104
 5.41002345e+86
 2.86624318e+86
 2.32804813e+94
 7.10634657e+94
 1.53732841e+86
 9.56086892e+81
 1.76414723e+92
 2.64787868e+122
 1.85762454e+103
 8.01608129e+121
 8.96254332e+122
 5.42065541e+93
 2.77563983e+187
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.73105226e+289
 Inf
 Inf
 1.06862136e+219
 Inf
 Inf
 Inf
 6.51422212e-06
 2.15842792e+211
 8.49599007e+89
 1.64437554e+101
 7.26820895e+119
 1.45150531e+128
 2.88136487e+103
 5.61694223e+96
 2.81089929e+94
 3.18100785e+107
 3.89846980e+106
 2.30238405e+103
 1.65888518e+150
 2.37178148e+153
 2.38385592e+118
 2.63691470e+102
 5.96875626e+66
 4.11844468e+88
 8.48642090e+188
 3.32724518e+142
 2.67375340e+113
 2.04557888e+127
 2.35072887e+208
 6.78900172e+146
 1.27025627e+105
 2.04262315e+129
 5.60743510e+143
 3.13886080e+101
 4.08507652e+104
 3.43871044e+113
 6.34875537e+86
 3.10918977e+93
 1.99508143e+141
 5.29151803e+181
 5.37111948e+145
 1.48034547e+194
 Inf
 Inf
 Inf
 Inf
 4.26554814e+220
 Inf
 Inf
 5.39999989e+162
 6.10971255e+151
 3.47949096e+164
 1.02654493e+136
 1.28142377e+139
 1.58019039e+210
 2.21633301e+234
 Inf
 Inf
 Inf
 Inf
 3.52751715e+232
 5.49518271e+202
 1.55439587e+213
 Inf
 Inf
 5.54760812e+202
 2.72085863e+273
 Inf
 6.66724383e+204
 7.69640644e+258
 Inf
 Inf
 Inf
 7.57615542e+215
 6.32205097e+269
 Inf
 Inf
 1.10652656e+238
 1.88375790e+284
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.04789893e+243
 6.16711178e+257
 7.29430999e+193
 2.90547751e+129
 5.27196188e+181
 1.80182646e+266
 9.44548299e+115
 3.06463591e+89
 1.95763687e+122
 1.89887956e+182
 5.28625339e+171
 8.91985447e+162
 3.46674609e+254
 2.49496923e+121
 4.51639895e+93
 5.34450767e+173
 1.58497187e+269
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51405382e-06
 6.51455098e-06
 Inf
 Inf
 Inf
 Inf
 6.51402306e-06
 6.51451264e-06
 6.51477261e-06
 6.51460517e-06
 6.51455076e-06
 6.51446238e-06
 6.51457341e-06
 Inf
 6.43971294e+234
 8.67847164e+284
 Inf
 6.13079245e+168
 3.38934247e+112
 6.43732224e+136
 3.46744410e+189
 Inf
 Inf
 Inf
 Inf
 3.45646105e+264
 5.70980502e+187
 4.01926934e+299
 1.46673811e+225
 2.22537615e+158
 1.82942466e+169
 4.84562308e+211
 1.88543802e+245
 2.75314447e+212
 8.86762065e+160
 6.99578350e+189
 2.32667871e+198
 9.50637172e+152
 4.74526638e+131
 1.10366751e+143
 2.65272736e+111
 9.03017384e+108
 1.80171302e+169
 5.21384668e+178
 1.54742394e+213
 1.82757494e+216
 3.75449649e+147
 3.63621204e+122
 4.96819586e+109
 1.24996531e+107
 4.80276750e+114
 3.57698303e+81
 2.91813588e+77
 3.45488878e+82
 1.63072916e+87
 7.09024850e+97
 3.43055263e+113
 2.82996327e+127
 2.87304898e+129
 9.17798774e+133
 1.47559566e+129
 7.86969206e+129
 8.30511428e+125
 3.04231344e+130
 1.25065556e+125
 1.01223624e+121
 1.97602500e+137
 4.96760396e+148
 6.20384628e+154
 3.36483519e+179
 2.20298683e+234
 7.17185046e+176
 3.96426068e+105
 1.03257312e+110
 7.63614369e+132
 Inf
 Inf
 1.74497096e+173
 7.73955258e+148
 5.25074521e+171
 1.83004668e+295
 4.92895095e+211
 4.98803374e+142
 1.53279653e+213
 1.27272987e+237
 4.64118581e+222
 1.07850730e+156
 4.42978034e+125
 1.27797914e+139
 1.86094769e+247
 9.59124268e+183
 9.96052179e+113
 3.26926326e+68
 8.73678178e+70
 1.51366085e+133
 1.60098895e+111
 3.80785915e+176
 2.29164049e+241
 1.94999510e+144
 1.18876926e+145
 9.43865532e+170
 1.07116852e+156
 2.36851149e+251
 Inf
 Inf
 Inf
 Inf
 Inf
 1.77376518e+262
 1.97009150e+248
 8.69667202e+284
 2.32986004e+241
 1.87248989e+149
 5.47406471e+127
 7.28695992e+112
 3.89583840e+84
 3.46468896e+82
 1.16096982e+99
 1.37770027e+102
 4.85467113e+99
 3.09941122e+100
 2.25803793e+87
 2.16459379e+93
 4.74348656e+116
 2.11285891e+86
 1.15751451e+81
 8.12477635e+87
 2.20642115e+80
 1.35615541e+77
 4.87037165e+77
 6.65080241e+74
 1.84810054e+66
 1.11178573e+72
 4.67250085e+64
 1.55796380e+65
 9.67269627e+75
 9.06644699e+68
 4.85187178e+77
 7.60036221e+75
 6.32199747e+70
 5.43510449e+72
 4.45275563e+78
 2.78495793e+85
 2.51975649e+79
 4.62424879e+95
 2.12453134e+108
 1.80527481e+97
 6.95151970e+87
 5.02726250e+89
 2.46903752e+105
 1.48679557e+103
 8.37228465e+89
 1.85413921e+109
 1.01383421e+118
 2.05786481e+100
 2.66351647e+97
 1.19939820e+112
 2.38267070e+109
 5.81790362e+88
 2.64014436e+87
 3.03987156e+89
 5.23515668e+84
 1.29133796e+79
 3.04276585e+91
 5.37092968e+128
 3.62207138e+122
 5.46855059e+90
 3.00668492e+82
 2.65271035e+83
 1.16625325e+90
 1.13242799e+79
 7.60428628e+75
 2.55252301e+91
 1.00879543e+81
 1.79057708e+74
 2.71916149e+66
 6.92379607e+73
 4.27583786e+77
 4.92542594e+76
 2.71947810e+90
 3.68592517e+57
 7.66742968e+55
 1.78806537e+76
 4.33693778e+72
 8.91214720e+71
 5.88330457e+74
 2.55104722e+74
 1.58467721e+68
 4.99554107e+80
 9.58821453e+85
 3.32595753e+84
 1.93146693e+106
 1.26734069e+93
 6.33893559e+77
 4.11656696e+74
 1.80740058e+76
 1.11172991e+85
 3.53387745e+69
 1.86575372e+64
 2.50385519e+80
 9.83485328e+89
 8.49874618e+79
 7.81181312e+65
 1.46469970e+83
 2.15230410e+91
 4.11818647e+70
 2.91582392e+68
 4.50513128e+58
 5.23566486e+62
 2.18037111e+79
 3.24359513e+74
 2.66670974e+81
 3.32007383e+84
 5.38762884e+69
 6.37214195e+67
 5.65112256e+70
 4.26934425e+67
 7.02277304e+70
 5.74422994e+80
 9.54115183e+81
 1.40122343e+72
 1.26700770e+63
 2.85692520e+74
 1.25233585e+93
 3.33398345e+84
 1.31075998e+86
 7.37861858e+86
 6.51238100e-06
 6.52288506e-06
 6.52903248e-06
 6.52904672e-06
 6.52203253e-06
 6.51652081e-06
 2.86071379e+212
 5.43755458e+196
 5.33202296e+162
 1.45520263e+117
 1.42577155e+187
 6.51342902e-06
 6.51458184e-06
 6.51479424e-06
 Inf
 6.51444538e-06
 6.51449236e-06
 6.51464461e-06
 Inf
 Inf
 Inf
 1.16698235e+212
 Inf
 Inf
 2.04437967e+243
 Inf
 Inf
 2.55640393e+166
 3.66420451e+182
 Inf
 Inf
 6.51430163e-06
 6.51460591e-06
 6.51452909e-06
 Inf
 Inf
 Inf
 Inf
 6.51385910e-06
 6.51458659e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 1.22836477e+203
 1.42113974e+115
 2.17160012e+114
 6.50298234e+107
 1.06971505e+115
 1.35557443e+121
 3.61510133e+122
 7.26594051e+111
 1.11665147e+102
 1.29804545e+120
 7.12174790e+120
 4.05852605e+107
 3.38580882e+111
 6.32915653e+109
 3.00968036e+76
 2.35328196e+67
 1.12180210e+79
 3.09879778e+93
 2.16483029e+88
 5.34929215e+82
 1.93968622e+90
 4.79509166e+83
 5.68717209e+70
 2.23776436e+66
 1.96692596e+63
 2.11846686e+67
 1.51720022e+81
 5.77125797e+80
 8.17849598e+95
 2.03552596e+113
 1.55589023e+112
 7.08898336e+89
 1.76197448e+96
 3.26048723e+104
 5.92691628e+87
 1.56757229e+107
 5.59482414e+120
 2.14054641e+108
 6.01071790e+125
 3.84994122e+134
 1.21163941e+112
 6.92096019e+103
 1.50585184e+95
 7.30108163e+118
 9.88686103e+225
 1.79548863e+174
 4.43358495e+117
 7.35675577e+118
 6.65415356e+131
 2.30451932e+145
 1.47442252e+122
 1.56626173e+126
 4.91544609e+142
 8.09996147e+121
 7.11262949e+108
 1.99687653e+107
 9.38512465e+112
 1.27989808e+114
 4.05225811e+107
 1.00718363e+121
 4.05295625e+138
 1.33149852e+110
 1.48860089e+83
 1.35217751e+84
 1.82364186e+84
 1.76585038e+92
 4.83461294e+124
 9.86584780e+113
 2.59183060e+89
 1.05417491e+98
 6.25773539e+116
 1.28127546e+114
 1.33032151e+132
 1.20545855e+164
 9.78113859e+185
 3.50790320e+189
 2.36752167e+125
 6.23179909e+106
 4.37318119e+117
 7.65507602e+132
 1.51461900e+154
 9.22690946e+133
 8.47413861e+130
 4.96802130e+185
 1.58815045e+147
 7.72667619e+117
 1.02143427e+147
 5.45573756e+208
 2.87326178e+187
 2.48379567e+151
 1.66237492e+143
 2.67409715e+113
 1.67211299e+131
 9.94204709e+225
 4.37944186e+236
 5.96727794e+158
 4.36527402e+92
 8.19991135e+76
 3.62139077e+87
 3.82286579e+101
 2.30605974e+251
 6.51373891e-06
 6.51453306e-06
 Inf
 7.79289075e+298
 2.75865928e+273
 Inf
 Inf
 9.03322137e+160
 8.49936940e+143
 3.59609788e+124
 9.06024058e+108
 1.08301715e+122
 2.35340722e+135
 Inf
 6.51383520e-06
 6.51466961e-06
 6.51481510e-06
 Inf
 Inf
 6.51419334e-06
 6.51484620e-06
 6.51509279e-06
 Inf
 6.51426012e-06
 6.51480441e-06
 6.51501097e-06
 6.51464106e-06
 6.51436488e-06
 6.51462075e-06
 6.51493168e-06
 6.51456402e-06
 6.51436192e-06
 6.51491452e-06
 6.51512995e-06
 6.51494495e-06
 Inf
 3.97484029e+176
 5.67496885e+120
 2.17372919e+110
 1.08597898e+133
 1.21776060e+123
 1.07424778e+115
 3.91949722e+127
 1.47331063e+129
 3.64427410e+116
 2.63763062e+111
 5.81484134e+113
 4.09957482e+104
 2.39050000e+115
 4.04344566e+139
 3.29882962e+142
 7.65168796e+123
 2.53471300e+100
 1.03433562e+95
 1.29678779e+134
 2.50472582e+163
 2.62062318e+112
 1.57843248e+113
 1.26527941e+144
 3.18900147e+160
 2.91512248e+144
 4.13961278e+115
 9.40265567e+131
 2.61401163e+150
 3.71857184e+147
 5.28361931e+172
 7.11013112e+176
 1.58071480e+151
 6.67888182e+141
 3.76027614e+152
 1.57384513e+151
 4.30390559e+166
 2.37945598e+153
 1.09432296e+122
 9.05497416e+108
 1.22249573e+97
 Inf
 6.51419596e-06
 3.15593554e+253
 Inf
 Inf
 Inf
 6.29297675e+243
 3.41073891e+179
 1.83260600e+184
 8.41361357e+239
 2.16267250e+214
 2.04725260e+128
 1.34981711e+118
 5.43471647e+127
 1.91857790e+160
 5.26444249e+171
 4.44036089e+125
 3.03044709e+223
 Inf
 1.34913008e+185
 4.15606330e+218
 Inf
 Inf
 1.41256855e+293
 Inf
 Inf
 4.47862867e+236
 2.88303781e+187
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.86834977e+178
 6.60415421e+272
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51428912e-06
 6.51462369e-06
 6.51473011e-06
 Inf
 Inf
 7.72678224e+240
 1.27791828e+237
 6.61517018e+219
 1.70004261e+150
 4.49634897e+156
 9.76448329e+185
 1.01274255e+145
 3.79877148e+167
 2.11489091e+176
 9.49955660e+183
 2.21410126e+158
 2.50924760e+166
 6.07227802e+257
 Inf
 1.05897938e+268
 7.52292270e+215
 Inf
 Inf
 5.59828269e+202
 7.47143557e+166
 Inf
 Inf
 6.46464944e+269
 3.08625749e+215
 Inf
 Inf
 1.02362856e+281
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.43007118e+293
 Inf
 6.51397428e-06
 Inf
 8.99870037e+284
 Inf
 Inf
 Inf
 1.02728568e+281
 2.40160573e+135
 9.70710878e+185
 9.83190850e+259
 1.68377915e+143
 3.14816125e+162
 1.69449733e+193
 1.05937203e+128
 1.34973062e+118
 1.70584877e+156
 4.92542097e+122
 5.80956573e+117
 5.85073363e+164
 7.59943039e+120
 1.70773471e+125
 6.37177679e+150
 1.88770823e+146
 1.72373147e+170
 2.47727144e+151
 5.65404795e+120
 5.98090545e+121
 5.24248019e+172
 2.11698474e+176
 5.98626343e+152
 1.09763038e+133
 5.63655516e+112
 5.65675546e+147
 6.49699515e+136
 2.50121760e+105
 2.95197565e+126
 4.05932939e+138
 3.63877253e+182
 Inf
 Inf
 6.10383980e+153
 5.67583507e+126
 2.94125840e+172
 1.91550709e+138
 2.78997478e+181
 Inf
 6.04371255e+246
 1.12183351e+143
 2.39892124e+109
 4.24717481e+166
 3.44179748e+232
 9.88608694e+185
 9.48394523e+136
 5.65739148e+126
 2.35649897e+135
 3.46598438e+113
 1.08832932e+101
 3.24130753e+97
 3.74241000e+93
 3.87636714e+84
 3.35147647e+86
 6.13302406e+105
 1.03261273e+110
 3.44454460e+113
 1.40070527e+115
 2.83035528e+114
 4.47911489e+113
 1.00036278e+96
 2.80250215e+85
 8.78593631e+92
 2.64870755e+122
 2.38897421e+109
 6.47448768e+90
 7.82432388e+134
 1.50175530e+178
 1.35962291e+104
 2.30043801e+103
 6.18106127e+179
 1.58757887e+269
 1.09345817e+201
 8.86561526e+147
 1.57779261e+147
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 4.67848645e+95
 1.33541181e+101
 5.58854791e+112
 2.52863305e+107
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 4.87781645e+122
 1.78655728e+118
 1.11549019e+162
 1.79365524e+235
 1.08967056e+201
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 6.43253614e+133
 2.20525933e+142
 5.98164372e+153
 6.00068707e+168
 1.66158664e+123
 1.97730668e+137
 6.78391715e+184
 1.22346585e+196
 4.95092482e+135
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 5.98304255e+121
 3.07928310e+119
 1.98645487e+105
 2.64974336e+113
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 1.45280583e+128
 6.16029854e+128
 3.10814934e+106
 2.62873267e+102
 3.01421460e+123
 7.92157456e+134
 1.28106713e+139
 9.91403581e+154
 1.25676967e+125
 5.60396617e+123
 2.45444630e+121
 7.84948201e+98
 2.13861401e+126
 2.10847006e+214
 3.39964572e+179
 3.21146191e+160
 1.19584786e+149
 8.14800583e+177
 1.08513784e+150
 1.15250532e+176
 9.90473657e+280
 6.51373372e-06
 Inf
 1.59227723e+106
 2.28525573e+145
 2.86771817e+149
 9.81649078e+169
 7.87424342e+180
 4.15460432e+287
 Inf
 Inf
 6.51419147e-06
 6.51447949e-06
 6.51469963e-06
 6.51453129e-06
 6.51455107e-06
 6.51465119e-06
 6.51467651e-06
 Inf
 Inf
 6.51426450e-06
 Inf
 Inf
 2.82677750e+229
 Inf
 Inf
 Inf
 4.44204727e+236
 2.00758914e+288
 Inf
 Inf
 Inf
 Inf
 2.09902257e+211
 2.83340076e+239
 Inf
 6.51434347e-06
 6.51481495e-06
 Inf
 6.51431192e-06
 6.51456986e-06
 6.51460942e-06
 6.51440280e-06
 Inf
 Inf
 Inf
 Inf
 6.51433481e-06
 6.51498254e-06
 Inf
 6.51432684e-06
 6.51477419e-06
 Inf
 6.51422913e-06
 6.51440588e-06
 6.51456626e-06
 6.51473931e-06
 Inf
 6.51436405e-06
 6.51466260e-06
 Inf
 Inf
 6.51402948e-06
 6.51463657e-06
 6.51510195e-06
 6.51504164e-06
 6.51472040e-06
 6.51477662e-06
 6.51471832e-06
 6.51482797e-06
 6.51501340e-06
 6.51478638e-06
 Inf
 Inf
 4.48035206e+188
 5.83914401e+174
 9.63743020e+151
 5.51345920e+119
 1.20761140e+112
 2.38263974e+109
 2.18874261e+142
 1.37217738e+228
 8.76055018e+206
 5.68301273e+143
 1.17614231e+180
 1.42385194e+256
 3.24230618e+169
 8.82654090e+147
 4.30059871e+166
 2.87982022e+149
 1.36847179e+141
 2.36686063e+153
 Inf
 Inf
 1.17525988e+176
 5.13856571e+227
 Inf
 6.21442157e+257
 8.91785149e+263
 2.77403990e+259
 1.61293911e+231
 1.00245150e+281
 5.21827788e+227
 4.15123046e+255
 2.21400992e+250
 3.05462204e+141
 9.20374515e+133
 9.61467663e+178
 5.62825413e+169
 3.20728564e+169
 2.32265485e+145
 2.60547058e+159
 Inf
 Inf
 1.62041796e+231
 3.85153195e+167
 1.66736382e+172
 2.78425476e+195
 2.04839374e+249
 Inf
 1.80678409e+174
 1.67991627e+171
 4.43280142e+177
 1.28254615e+167
 6.22662929e+154
 9.45585454e+183
 6.66942612e+249
 3.79530128e+228
 8.05085371e+134
 3.17085109e+96
 3.89325260e+127
 1.29153549e+177
 1.50143511e+163
 2.92596565e+165
 Inf
 Inf
 2.67194224e+150
 6.00633467e+139
 1.47282532e+122
 1.02284313e+147
 6.67323578e+141
 7.06265845e+159
 8.74103519e+188
 5.50390614e+173
 1.81425289e+216
 Inf
 6.51433361e-06
 Inf
 8.01432521e+180
 1.91877106e+175
 1.06176567e+199
 4.92780655e+199
 6.58445643e+204
 4.72061786e+261
 1.50847896e+194
 3.62656703e+158
 9.47385583e+172
 8.27161903e+192
 Inf
 6.51426543e-06
 5.18830296e+256
 5.70581338e+187
 6.96298092e+221
 5.48779707e+202
 3.72080543e+213
 Inf
 Inf
 5.25581057e+197
 1.92185995e+138
 3.84516444e+176
 4.90793116e+199
 1.10088972e+217
 9.99931772e+280
 4.70840868e+274
 Inf
 1.98852276e+248
 1.21526672e+203
 1.04087410e+268
 Inf
 Inf
 3.56375052e+193
 2.00316214e+137
 2.61768957e+150
 1.14612925e+126
 2.05527494e+111
 3.13341110e+118
 1.28183751e+114
 3.13600734e+118
 3.04505604e+109
 3.13451250e+115
 5.38388219e+132
 8.98641527e+122
 3.14946047e+133
 2.45799257e+151
 4.48509266e+136
 8.73620176e+138
 2.63302942e+124
 8.55365419e+206
 Inf
 Inf
 Inf
 6.64977655e+212
 1.67906097e+172
 1.83032694e+295
 1.94214860e+175
 1.48559641e+136
 6.21135362e+140
 2.46258653e+151
 2.91860081e+165
 1.91326015e+175
 1.89592036e+146
 3.09344562e+136
 2.41971270e+154
 2.96398374e+172
 1.89509318e+146
 4.39710599e+146
 1.82446905e+169
 1.31190320e+204
 4.98277016e+198
 2.82165950e+178
 5.82980494e+195
 4.43903303e+231
 2.99898173e+171
 7.63968766e+128
 Inf
 Inf
 Inf
 9.86733928e+232
 Inf
 5.62946058e+291
 2.12681159e+224
 Inf
 Inf
 Inf
 2.57268407e+270
 2.42022600e+152
 4.40250545e+146
 3.94955901e+127
 2.05674446e+129
 2.37286138e+152
 3.36287910e+179
 5.57915985e+134
 6.51310166e-06
 6.52072279e-06
 6.52410435e-06
 6.52802699e-06
 6.52805819e-06
 6.52728703e-06
 6.52364301e-06
 6.51950358e-06
 6.51676631e-06
 6.51593675e-06
 6.51575461e-06
 6.51527567e-06
 6.51477785e-06
 6.51457540e-06
 6.51455072e-06
 6.51509518e-06
 6.51506801e-06
 6.51473200e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.22691725e+218
 Inf
 Inf
 1.00924590e+260
 1.35094798e+195
 1.01601342e+182
 8.20415729e+177
 1.25324632e+215
 Inf
 Inf
 9.73402383e+153
 1.68408424e+150
 3.02449783e+215
 8.97897230e+252
 1.76907737e+189
 3.06246232e+173
 1.83487068e+169
 4.75527379e+191
 Inf
 Inf
 Inf
 Inf
 2.86900001e+181
 3.22346312e+174
 1.91662477e+175
 9.21530268e+124
 2.01481496e+112
 1.86137604e+162
 9.76892147e+259
 9.96999910e+169
 3.10643129e+136
 2.78846269e+181
 1.59338469e+231
 2.53606088e+166
 5.68732802e+126
 1.10185504e+130
 6.69717753e+146
 5.34903654e+170
 1.72908451e+257
 6.70182287e+272
 7.55416065e+205
 5.51727461e+173
 3.08815623e+194
 Inf
 Inf
 3.58156761e+193
 3.62624518e+158
 8.85055841e+213
 3.06986686e+170
 1.03610977e+208
 Inf
 2.55898812e+270
 1.28739867e+209
 8.23754710e+177
 3.05674112e+173
 7.73806750e+233
 2.84327270e+239
 6.40505843e+175
 2.81115569e+178
 1.00853342e+226
 6.33328035e+269
 5.02081698e+198
 3.79757731e+152
 3.71002651e+210
 1.87462246e+286
 2.14477305e+176
 3.46176930e+168
 Inf
 2.39015824e+201
 1.92485161e+175
 3.56100141e+294
 4.09357992e+299
 2.00525351e+192
 4.20227035e+220
 2.00196294e+288
 Inf
 Inf
 Inf
 6.51387139e-06
 6.51450477e-06
 Inf
 3.09789595e+173
 Inf
 Inf
 2.58478090e+270
 1.28739807e+209
 Inf
 Inf
 2.01791464e+192
 6.50127674e+212
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51430219e-06
 6.51475272e-06
 6.51442948e-06
 6.51482450e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51405704e-06
 6.51496012e-06
 Inf
 6.51423021e-06
 6.51464635e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.27888525e+265
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51432191e-06
 Inf
 Inf
 6.51409096e-06
 6.51675649e-06
 6.51662312e-06
 6.51559948e-06
 6.51578424e-06
 6.51683909e-06
 6.51696039e-06
 6.51617365e-06
 6.51599039e-06
 6.51642731e-06
 6.51572701e-06
 6.51507450e-06
 6.51463464e-06
 6.51488303e-06
 6.51471899e-06
 6.51458520e-06
 6.51515954e-06
 6.51507018e-06
 6.51489287e-06
 6.51566043e-06
 6.51613577e-06
 6.51556296e-06
 6.51508057e-06
 6.51501991e-06
 6.51532832e-06
 6.51574417e-06
 6.51606696e-06
 6.51670959e-06
 6.51757569e-06
 6.51685714e-06
 6.51633791e-06
 6.51675758e-06
 6.51737538e-06
 6.51705996e-06
 6.51662389e-06
 6.51734815e-06
 6.51843615e-06
 6.51733395e-06
 6.51642694e-06
 6.51800635e-06
 6.51815092e-06
 6.51687406e-06
 6.51706395e-06
 6.51770563e-06
 6.51882736e-06
 6.51925794e-06
 6.51776906e-06
 6.51700563e-06
 6.51707577e-06
 6.51689012e-06
 6.51659751e-06
 6.51713223e-06
 6.51670876e-06
 6.51632335e-06
 6.51736160e-06
 6.51857399e-06
 6.51833470e-06
 6.51717005e-06
 6.51741089e-06
 6.51736577e-06
 6.51634872e-06
 6.51612020e-06
 6.51740195e-06
 6.51855971e-06
 6.51743081e-06
 6.51604013e-06
 6.51575104e-06
 6.51923398e-06
 6.52080971e-06
 6.51761079e-06
 6.51658873e-06
 6.51680870e-06
 6.51638016e-06
 6.51592546e-06
 6.51577034e-06
 6.51543223e-06
 6.51544166e-06
 6.51587526e-06
 6.51573914e-06
 6.51554473e-06
 6.51576809e-06
 6.51667717e-06
 6.51640020e-06
 6.51555089e-06
 6.51533282e-06
 6.51639947e-06
 6.51769212e-06
 6.51693172e-06
 6.51591670e-06
 6.51618440e-06
 6.51740608e-06
 6.51720787e-06
 6.51623402e-06
 6.51595153e-06
 6.51621967e-06
 6.51577468e-06
 6.51592987e-06
 6.51777329e-06
 6.51736561e-06
 6.51571866e-06
 Inf
 6.51411346e-06
 6.51456887e-06
 Inf
 6.51434573e-06
 6.51658167e-06
 6.51721485e-06
 6.51605888e-06
 6.51569845e-06
 6.51624922e-06
 6.51645566e-06
 6.51648881e-06
 6.51666132e-06
 6.51619115e-06
 6.51572012e-06
 6.51552694e-06
 6.51595047e-06
 6.51694233e-06
 6.51644704e-06
 6.51596697e-06
 6.51611558e-06
 6.51571697e-06
 6.51522388e-06
 6.51504966e-06
 6.51552579e-06
 6.51544855e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.80141155e+292
 Inf
 5.13244603e+296
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51423896e-06
 6.51452930e-06
 1.05650426e+226
 1.29848401e+261
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51416943e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51426450e-06
 Inf
 Inf
 6.51438857e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51429397e-06
 6.51446790e-06
 Inf
 Inf
 6.51418149e-06
 6.51476965e-06
 Inf
 Inf
 Inf
 Inf
 6.51440688e-06
 6.51541402e-06
 6.48774740e-06
 Inf
 Inf
 Inf
 5.69287339e+291
 1.18991647e+279
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51408692e-06
 Inf
 Inf
 6.51429013e-06
 6.51475117e-06
 Inf
 Inf
 6.51430019e-06
 Inf
 6.51438743e-06
 6.51459925e-06
 6.51439014e-06
 6.51465303e-06
 Inf
 6.51423606e-06
 6.51468059e-06
 Inf
 Inf
 6.51420778e-06
 6.51446084e-06
 Inf
 6.51442523e-06
 6.51447609e-06
 6.51461580e-06
 6.51467623e-06
 6.51450249e-06
 6.51450549e-06
 6.51462240e-06
 6.51476665e-06
 Inf
 6.51435552e-06
 6.51454128e-06
 6.51487961e-06
 6.51466052e-06
 6.51461044e-06
 6.51483573e-06
 6.51473627e-06
 6.51456457e-06
 6.51465645e-06
 6.51470913e-06
 6.51483761e-06
 6.51481876e-06
 6.51759392e-06
 6.51887852e-06
 6.51849367e-06
 6.51888941e-06
 6.51820984e-06
 6.51675883e-06
 6.51611721e-06
 6.51621904e-06
 6.51677557e-06
 6.51645743e-06
 6.51672718e-06
 6.51711491e-06
 6.51709050e-06
 6.51613067e-06
 6.51577962e-06
 6.51715104e-06
 6.51724110e-06
 6.51617199e-06
 6.51543364e-06
 6.51539409e-06
 6.51553981e-06
 6.51525523e-06
 6.51512198e-06
 6.51531594e-06
 6.51528494e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51433273e-06
 6.51442814e-06
 Inf
 Inf
 6.51430985e-06
 6.51456028e-06
 6.51483476e-06
 6.51469500e-06
 6.51468416e-06
 Inf
 6.51442197e-06
 6.51441857e-06
 6.51459367e-06
 6.51463438e-06
 6.51463740e-06
 Inf
 6.51427682e-06
 6.51498935e-06
 6.51510189e-06
 6.51486151e-06
 6.51455124e-06
 6.51440435e-06
 6.51466846e-06
 6.51468581e-06
 6.51460910e-06
 6.51436475e-06
 6.51495282e-06
 6.51523940e-06
 6.51496210e-06
 6.50563946e-06
 6.51474388e-06
 6.51467519e-06
 6.51473314e-06
 6.51470847e-06
 Inf
 6.51431667e-06
 6.51466291e-06
 6.51496558e-06
 Inf
 Inf
 Inf
 6.51444465e-06
 6.51444886e-06
 6.51450875e-06
 6.51475437e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
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 6.51421017e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
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 6.51417930e-06
 Inf
 Inf
 Inf
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 6.51428385e-06
 6.51464837e-06
 6.51460554e-06
 6.51479981e-06
 Inf
 Inf
 6.51431523e-06
 6.51440493e-06
 6.51459357e-06
 6.51468732e-06
 6.51453030e-06
 6.51436272e-06
 6.51475976e-06
 6.51465903e-06
 6.51492812e-06
 6.51509229e-06
 6.51490601e-06
 6.51478584e-06
 6.51480902e-06
 Inf
 Inf
 6.51433746e-06
 6.51455497e-06
 6.51461921e-06
 Inf
 6.51434612e-06
 6.51457351e-06
 6.51487123e-06
 Inf
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 6.51426383e-06
 Inf
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 6.51432314e-06
 6.51461939e-06
 6.51482403e-06
 Inf
 Inf
 Inf
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 6.51439526e-06
 Inf
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 6.51411482e-06
 6.51473337e-06
 Inf
 Inf
 Inf
 6.51418967e-06
 6.51455640e-06
 Inf
 Inf
 6.51399115e-06
 6.51481223e-06
 6.51551268e-06
 6.51536895e-06
 6.51538640e-06
 6.51620930e-06
 6.51634953e-06
 6.51624702e-06
 6.51783693e-06