2.51442496e+03
 2.51370601e+03
 2.51375017e+03
 2.51466451e+03
 2.51482373e+03
 2.51421187e+03
 2.51405185e+03
 2.51428646e+03
 2.51486594e+03
 2.51430454e+03
 2.51387244e+03
 2.51417186e+03
 2.51400859e+03
 2.51385716e+03
 2.51437015e+03
 2.51500954e+03
 2.51445715e+03
 2.51382129e+03
 2.51390040e+03
 2.51422928e+03
 2.51404133e+03
 2.51397161e+03
 2.51418890e+03
 2.51455651e+03
 2.51468575e+03
 2.51426260e+03
 2.51451626e+03
 2.51516205e+03
 2.51506211e+03
 2.51433096e+03
 2.51423519e+03
 2.51450964e+03
 2.51455435e+03
 2.51438897e+03
 2.51434330e+03
 2.51373794e+03
 2.51328982e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330071e+03
 2.51333840e+03
 2.51338974e+03
 2.51327701e+03
 2.51348694e+03
 2.51438060e+03
 2.51427437e+03
 2.51465047e+03
 2.51565201e+03
 2.51563005e+03
 2.51459049e+03
 2.51420037e+03
 2.51406771e+03
 2.51382129e+03
 2.51388790e+03
 2.51416623e+03
 2.51426858e+03
 2.51409808e+03
 2.51402576e+03
 2.51402716e+03
 2.51421187e+03
 2.51426660e+03
 2.51402402e+03
 2.51445068e+03
 2.51473337e+03
 2.51425865e+03
 2.51420811e+03
 2.51412173e+03
 2.51373659e+03
 2.51356881e+03
 2.51366520e+03
 2.51416623e+03
 2.51363116e+03
 Inf
 Inf
 2.51330337e+03
 Inf
 Inf
 Inf
 2.51328675e+03
 Inf
 Inf
 2.51327415e+03
 2.51328267e+03
 2.51327540e+03
 Inf
 Inf
 2.51328860e+03
 2.51328401e+03
 Inf
 Inf
 2.51327680e+03
 2.51333492e+03
 Inf
 Inf
 2.51327897e+03
 2.51327669e+03
 Inf
 2.51331648e+03
 2.51327939e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51332461e+03
 2.51327469e+03
 Inf
 2.51327680e+03
 2.51336608e+03
 2.51556391e+03
 2.52100176e+03
 2.51864461e+03
 2.51572307e+03
 2.51468809e+03
 2.51381104e+03
 2.51363954e+03
 2.51373388e+03
 2.51332596e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327925e+03
 2.51328323e+03
 Inf
 Inf
 2.51328029e+03
 2.51335329e+03
 2.51334512e+03
 2.51329726e+03
 2.51137888e+03
 2.51327507e+03
 2.51328110e+03
 2.51332733e+03
 2.51334512e+03
 2.51335498e+03
 2.51330723e+03
 2.51343466e+03
 2.51346899e+03
 2.51328932e+03
 Inf
 Inf
 2.51330759e+03
 2.51327484e+03
 2.51327414e+03
 2.51327805e+03
 2.51327456e+03
 Inf
 2.51387090e+03
 2.51399343e+03
 Inf
 2.51329350e+03
 2.51337096e+03
 2.51332153e+03
 2.51328304e+03
 2.51333297e+03
 2.51334407e+03
 2.51349063e+03
 2.51367774e+03
 2.51350760e+03
 2.51337661e+03
 2.51329548e+03
 2.51328587e+03
 2.51329462e+03
 2.51380089e+03
 2.51420038e+03
 2.51348786e+03
 2.51349709e+03
 2.51348238e+03
 2.51342602e+03
 2.51375296e+03
 2.51347786e+03
 Inf
 2.51332687e+03
 2.51334834e+03
 2.51333249e+03
 2.51344110e+03
 2.51343148e+03
 2.51347787e+03
 2.51347516e+03
 2.51344273e+03
 2.51328110e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51333059e+03
 2.51328126e+03
 Inf
 2.51327563e+03
 2.51327495e+03
 Inf
 2.51328461e+03
 Inf
 Inf
 2.51328608e+03
 2.51327422e+03
 2.51327432e+03
 2.51328249e+03
 2.51327413e+03
 Inf
 2.51327479e+03
 2.51330869e+03
 2.51350664e+03
 2.51356344e+03
 2.51358191e+03
 2.51366397e+03
 2.51341313e+03
 2.51328982e+03
 2.51336547e+03
 2.51338440e+03
 2.51328908e+03
 2.51332328e+03
 2.51350664e+03
 2.51333011e+03
 2.51331526e+03
 2.51345860e+03
 2.51328608e+03
 2.51335725e+03
 2.51340799e+03
 2.51330006e+03
 Inf
 Inf
 2.51330440e+03
 2.51333249e+03
 2.51335611e+03
 2.51333297e+03
 2.51328697e+03
 2.51327745e+03
 2.51334833e+03
 2.51336368e+03
 2.51329577e+03
 2.51329549e+03
 2.51332417e+03
 2.51330169e+03
 Inf
 2.51328812e+03
 2.51328523e+03
 Inf
 2.51327780e+03
 2.51327631e+03
 2.51338177e+03
 2.51352125e+03
 2.51344191e+03
 2.51335273e+03
 2.51329109e+03
 2.51327883e+03
 2.51329577e+03
 2.51343948e+03
 2.51342063e+03
 2.51345016e+03
 Inf
 6.99846175e+265
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327420e+03
 2.51334043e+03
 2.51328077e+03
 Inf
 2.51329032e+03
 2.51332284e+03
 Inf
 Inf
 2.51327484e+03
 2.51333740e+03
 2.51329726e+03
 2.51329214e+03
 2.51331648e+03
 2.51333740e+03
 2.51333443e+03
 2.51328342e+03
 2.51328932e+03
 2.51335956e+03
 2.51333153e+03
 2.51331566e+03
 2.51338047e+03
 2.51377523e+03
 2.51356557e+03
 2.51328630e+03
 2.51328587e+03
 2.51330337e+03
 2.51332197e+03
 2.51327669e+03
 2.51327792e+03
 2.51332506e+03
 2.51329975e+03
 2.51332965e+03
 2.51338572e+03
 2.51328045e+03
 2.51327631e+03
 2.51344110e+03
 2.51369048e+03
 2.51339110e+03
 2.51329434e+03
 2.51334833e+03
 2.51344191e+03
 2.51335783e+03
 2.51328126e+03
 2.51331982e+03
 2.51339800e+03
 2.51335956e+03
 2.51335611e+03
 2.51330474e+03
 2.51332372e+03
 2.51329911e+03
 2.51328213e+03
 2.51347607e+03
 2.51364557e+03
 2.51352721e+03
 2.51344601e+03
 2.51355284e+03
 2.51367145e+03
 2.51343867e+03
 2.51353833e+03
 2.51355285e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328077e+03
 2.51333790e+03
 2.51331607e+03
 2.51327722e+03
 2.51327456e+03
 2.51334833e+03
 2.51334670e+03
 2.51374747e+03
 2.51474298e+03
 2.51504121e+03
 2.51519778e+03
 2.51494206e+03
 2.51542465e+03
 2.51556405e+03
 2.51475261e+03
 2.51479858e+03
 2.51558804e+03
 2.51588766e+03
 2.51573542e+03
 2.51535814e+03
 2.49899537e+03
 2.51576366e+03
 2.51540137e+03
 2.51503847e+03
 2.51522812e+03
 2.51526465e+03
 2.51505433e+03
 2.51641655e+03
 2.51706002e+03
 2.51531528e+03
 2.51484598e+03
 2.51500944e+03
 2.51538984e+03
 2.51545123e+03
 2.51558806e+03
 2.51607065e+03
 2.51556086e+03
 2.51558245e+03
 2.51686130e+03
 2.51792030e+03
 2.51547157e+03
 2.51439109e+03
 2.51507558e+03
 2.51411989e+03
 2.51365287e+03
 2.51341611e+03
 2.51334672e+03
 2.51352223e+03
 2.51340366e+03
 2.51329057e+03
 2.51333394e+03
 2.51341387e+03
 2.51332918e+03
 2.51333640e+03
 2.51344355e+03
 2.50833255e+03
 2.51336668e+03
 2.51341313e+03
 2.51347518e+03
 2.51351049e+03
 2.51335783e+03
 2.51327939e+03
 2.51330723e+03
 2.51336073e+03
 2.51338308e+03
 2.51335841e+03
 2.51361588e+03
 2.51340509e+03
 Inf
 Inf
 Inf
 2.51327650e+03
 Inf
 Inf
 2.51328481e+03
 2.51327438e+03
 Inf
 Inf
 2.51329577e+03
 Inf
 2.51330580e+03
 2.51367396e+03
 2.51344849e+03
 2.51328143e+03
 2.51335898e+03
 2.51397492e+03
 2.51444426e+03
 2.51363713e+03
 2.51343070e+03
 2.51363474e+03
 2.51348328e+03
 2.51335273e+03
 2.51336427e+03
 2.51342992e+03
 2.51352721e+03
 2.51336789e+03
 2.51336191e+03
 2.51340945e+03
 2.51333059e+03
 2.51333013e+03
 2.51345860e+03
 2.51345264e+03
 2.51329726e+03
 2.51330651e+03
 2.51347518e+03
 2.51342064e+03
 2.51331249e+03
 2.51328231e+03
 2.51328342e+03
 2.51342370e+03
 2.51349156e+03
 2.51342370e+03
 2.51341687e+03
 2.51354865e+03
 2.51349155e+03
 2.51334672e+03
 2.51334407e+03
 2.51332687e+03
 2.51336973e+03
 2.51347163e+03
 2.51359303e+03
 2.51341239e+03
 2.51329726e+03
 2.51342370e+03
 2.51374611e+03
 2.51366768e+03
 2.51330981e+03
 2.51336428e+03
 2.51397992e+03
 2.51375295e+03
 2.51363594e+03
 2.51355917e+03
 2.51344191e+03
 2.51370340e+03
 2.51358190e+03
 2.51360435e+03
 2.51355179e+03
 2.51335725e+03
 2.51329462e+03
 2.51337096e+03
 2.51342913e+03
 2.51327432e+03
 Inf
 2.51334833e+03
 2.51333689e+03
 Inf
 Inf
 2.51331607e+03
 2.51343466e+03
 2.51342989e+03
 2.51331897e+03
 Inf
 2.99388718e+238
 2.51327479e+03
 2.51365165e+03
 2.51390046e+03
 2.51356343e+03
 2.51363592e+03
 2.51396332e+03
 2.51380812e+03
 2.51353123e+03
 2.51345690e+03
 2.51360895e+03
 2.51371918e+03
 2.51333346e+03
 2.51332153e+03
 2.51363474e+03
 2.51375573e+03
 2.51368791e+03
 2.51360895e+03
 2.51364920e+03
 2.51387552e+03
 2.51375433e+03
 2.51361010e+03
 2.51353528e+03
 2.51350092e+03
 2.51345267e+03
 2.51372584e+03
 2.51437433e+03
 2.51406237e+03
 2.51343786e+03
 2.51340510e+03
 2.51394691e+03
 2.51392883e+03
 2.51345016e+03
 2.51355810e+03
 2.51379657e+03
 2.51351146e+03
 2.51351824e+03
 2.51370601e+03
 2.51373932e+03
 2.51348511e+03
 2.51332825e+03
 2.51369047e+03
 2.51444424e+03
 2.51393230e+03
 2.51352522e+03
 2.51371520e+03
 2.51369430e+03
 2.51369819e+03
 2.51372851e+03
 2.51372315e+03
 2.51361705e+03
 2.51342064e+03
 2.51347163e+03
 2.51345267e+03
 2.51354038e+03
 2.51342370e+03
 2.51345099e+03
 2.51349434e+03
 2.51331018e+03
 2.51327484e+03
 2.51328836e+03
 2.51333346e+03
 2.51328765e+03
 Inf
 2.51332284e+03
 2.51339042e+03
 2.51328565e+03
 2.51332641e+03
 2.51331526e+03
 2.51327441e+03
 2.51328884e+03
 2.51331689e+03
 2.51332067e+03
 2.51343466e+03
 2.51359303e+03
 2.51365288e+03
 2.51363116e+03
 2.51350473e+03
 2.51334512e+03
 2.51348970e+03
 2.51395018e+03
 2.51376681e+03
 2.51343546e+03
 2.51346030e+03
 2.51369176e+03
 2.51340010e+03
 2.51328441e+03
 2.51357097e+03
 2.51388792e+03
 2.51344110e+03
 2.51327621e+03
 2.51336309e+03
 2.51396332e+03
 2.51372582e+03
 2.51338839e+03
 2.51342991e+03
 2.51366770e+03
 2.51349809e+03
 2.51342524e+03
 2.51351730e+03
 2.51339315e+03
 2.51344354e+03
 2.51351731e+03
 2.51414940e+03
 2.51405703e+03
 2.51343070e+03
 2.51343204e+03
 2.51361472e+03
 2.51354346e+03
 2.51345099e+03
 2.51349621e+03
 2.51348510e+03
 2.51345520e+03
 2.51339800e+03
 2.51344519e+03
 2.51360665e+03
 2.51354761e+03
 2.51364556e+03
 2.51368028e+03
 2.51361705e+03
 2.50631997e+03
 2.51340581e+03
 2.51340154e+03
 2.51327650e+03
 Inf
 2.51327669e+03
 2.51330759e+03
 2.51330405e+03
 Inf
 2.51327460e+03
 2.51328652e+03
 2.51327413e+03
 2.51327756e+03
 Inf
 2.51330759e+03
 2.51348602e+03
 2.51330039e+03
 2.51329578e+03
 2.51342757e+03
 2.51348970e+03
 2.51336668e+03
 2.51331855e+03
 2.51364435e+03
 2.51372053e+03
 2.51341912e+03
 2.51366272e+03
 2.51350377e+03
 Inf
 2.51329577e+03
 2.51370340e+03
 2.51369409e+03
 2.51343546e+03
 2.51341612e+03
 2.51334618e+03
 2.51336850e+03
 2.51355284e+03
 2.51362173e+03
 2.51338112e+03
 2.51394854e+03
 2.51409273e+03
 2.51332733e+03
 2.51327444e+03
 2.51340366e+03
 2.51347967e+03
 2.51327413e+03
 2.51347876e+03
 2.51418891e+03
 2.51363235e+03
 2.51334779e+03
 2.51350092e+03
 2.51343307e+03
 2.51329135e+03
 2.51334302e+03
 2.51337789e+03
 2.51342835e+03
 2.51330687e+03
 2.51353022e+03
 2.51420611e+03
 2.51352124e+03
 2.51338177e+03
 2.51342293e+03
 2.51348238e+03
 2.51329350e+03
 2.51329849e+03
 2.51362172e+03
 2.51399674e+03
 2.51365901e+03
 2.51340799e+03
 2.51343947e+03
 2.51330136e+03
 2.51330039e+03
 2.51337598e+03
 2.51341611e+03
 2.51331210e+03
 2.51328093e+03
 2.51328652e+03
 Inf
 Inf
 2.51327413e+03
 2.51329057e+03
 2.51327939e+03
 2.51328675e+03
 Inf
 Inf
 Inf
 2.51330136e+03
 Inf
 2.51327465e+03
 2.51329548e+03
 Inf
 Inf
 Inf
 2.51328093e+03
 Inf
 Inf
 2.51335441e+03
 2.51333992e+03
 2.51334302e+03
 2.51334043e+03
 2.51334038e+03
 2.51333443e+03
 Inf
 Inf
 2.51346899e+03
 2.51346111e+03
 2.51327570e+03
 2.51327595e+03
 2.51346462e+03
 2.51332918e+03
 Inf
 Inf
 2.51328461e+03
 2.51334779e+03
 2.51328323e+03
 Inf
 Inf
 2.51333346e+03
 2.51327533e+03
 2.51329241e+03
 2.51331094e+03
 2.51330795e+03
 2.51331327e+03
 2.51329350e+03
 2.51338242e+03
 2.51338975e+03
 2.51337534e+03
 2.51338638e+03
 2.51343466e+03
 2.51333992e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329161e+03
 2.51327669e+03
 Inf
 4.78703108e+204
 1.47451540e+234
 Inf
 2.73522053e+250
 Inf
 2.51328061e+03
 Inf
 Inf
 Inf
 2.51327555e+03
 Inf
 Inf
 Inf
 2.51333492e+03
 Inf
 1.67806520e+296
 2.46332292e+278
 2.70822279e+275
 Inf
 Inf
 Inf
 2.40260637e+266
 1.59225073e+292
 Inf
 Inf
 1.60096234e+294
 2.97754239e+238
 Inf
 Inf
 Inf
 2.34443937e+255
 8.88769206e+207
 Inf
 2.51328652e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.66175568e+252
 2.37957686e+266
 Inf
 Inf
 1.09419805e+301
 Inf
 Inf
 4.33817831e+246
 4.62866230e+231
 1.56307705e+308
 8.64174921e+242
 4.92589092e+245
 2.51421572e+03
 2.51696766e+03
 2.51585853e+03
 2.51619145e+03
 2.51582041e+03
 2.51413090e+03
 2.51330236e+03
 Inf
 3.00453158e+249
 1.46201444e+195
 1.07351148e+238
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327612e+03
 2.51327587e+03
 2.51327514e+03
 2.51330440e+03
 2.51336973e+03
 2.51332461e+03
 2.51328421e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327474e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.90884596e+278
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328029e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329911e+03
 2.51327701e+03
 7.57654175e+253
 9.13620120e+199
 Inf
 Inf
 1.64505281e+292
 1.16201632e+180
 4.94256655e+175
 8.40266085e+258
 3.42807841e+295
 7.72873021e+200
 Inf
 Inf
 Inf
 Inf
 Inf
 3.78852576e+297
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.47180517e+219
 Inf
 2.51331249e+03
 2.51328441e+03
 Inf
 Inf
 2.51406006e+286
 1.81545601e+298
 Inf
 Inf
 Inf
 7.14158597e+243
 8.01353722e+172
 1.41302750e+191
 7.72508265e+251
 Inf
 Inf
 Inf
 7.98051148e+290
 Inf
 Inf
 Inf
 1.51932642e+215
 1.40127012e+167
 Inf
 Inf
 3.79562198e+297
 1.63326814e+296
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.33042146e+271
 5.75790463e+130
 6.38518060e+98
 4.06402757e+101
 4.63943871e+131
 2.23563312e+255
 2.51337853e+03
 2.51333789e+03
 Inf
 2.51328675e+03
 Inf
 Inf
 Inf
 Inf
 2.51327722e+03
 2.51335273e+03
 2.51339315e+03
 2.51334198e+03
 Inf
 2.51327429e+03
 2.51340509e+03
 2.51330943e+03
 2.51327495e+03
 2.51327830e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.70984040e+245
 Inf
 Inf
 2.51908126e+159
 Inf
 Inf
 Inf
 8.88360385e+288
 2.62267903e+226
 Inf
 7.89183729e+251
 2.05486810e+180
 6.56504446e+181
 5.76745940e+244
 7.35611946e+170
 2.53549849e+281
 2.51329519e+03
 2.51328908e+03
 Inf
 Inf
 Inf
 5.33365373e+156
 4.96772673e+90
 1.51534646e+108
 5.68075681e+135
 1.61691757e+146
 6.63491495e+178
 6.43480247e+151
 8.47542386e+166
 4.57780137e+263
 1.03840533e+212
 1.05611972e+221
 Inf
 Inf
 Inf
 1.96741999e+305
 2.47173894e+188
 2.59813825e+140
 4.38046144e+176
 3.69391314e+162
 1.44679485e+152
 2.03707543e+171
 7.69437500e+145
 2.84668617e+175
 2.16655649e+178
 9.18464349e+161
 Inf
 2.51327484e+03
 Inf
 Inf
 2.51327563e+03
 2.51278560e+03
 Inf
 Inf
 Inf
 2.51348147e+03
 2.51342293e+03
 Inf
 2.51327780e+03
 2.51342992e+03
 2.51396663e+03
 2.51474539e+03
 2.51486610e+03
 2.51486213e+03
 2.51437432e+03
 2.51451845e+03
 2.51462265e+03
 2.51482853e+03
 2.51568277e+03
 2.51473572e+03
 2.51377382e+03
 Inf
 5.16747681e+148
 1.04054393e+221
 Inf
 2.51334354e+03
 2.51341387e+03
 2.51344933e+03
 2.51357970e+03
 2.51403961e+03
 2.51417191e+03
 2.51429852e+03
 2.51493952e+03
 2.51437014e+03
 2.51366770e+03
 2.51383607e+03
 2.51464815e+03
 2.51505440e+03
 2.51493430e+03
 2.51500947e+03
 2.51542759e+03
 2.51559723e+03
 2.51535523e+03
 2.51549220e+03
 2.51588432e+03
 2.51489616e+03
 2.51450526e+03
 2.51462488e+03
 2.51424097e+03
 2.51390676e+03
 2.51445284e+03
 2.51491908e+03
 2.51465511e+03
 2.51479887e+03
 2.51415126e+03
 2.51361589e+03
 2.51335668e+03
 2.51357205e+03
 2.51444639e+03
 2.51454546e+03
 2.51458143e+03
 2.51377946e+03
 2.51342217e+03
 2.51335385e+03
 2.51334095e+03
 2.51344519e+03
 2.51336073e+03
 2.51362761e+03
 2.51402748e+03
 2.51382422e+03
 2.51391149e+03
 2.51408014e+03
 2.51413277e+03
 2.51469042e+03
 2.51517576e+03
 2.51467624e+03
 2.51474282e+03
 2.51463651e+03
 2.51365165e+03
 2.51389885e+03
 2.51476231e+03
 2.51360665e+03
 2.51343228e+03
 2.51423122e+03
 2.51486347e+03
 2.51408550e+03
 2.51381689e+03
 2.51405357e+03
 2.51385260e+03
 2.51340726e+03
 2.51328401e+03
 2.51357205e+03
 2.51385413e+03
 2.51327555e+03
 Inf
 2.51363235e+03
 2.51327548e+03
 1.92111260e+123
 8.40253514e+166
 Inf
 1.71163212e+245
 7.76027551e+130
 5.14507112e+140
 5.17344758e+166
 7.95397315e+109
 5.63602810e+117
 7.88073482e+109
 9.76836699e+100
 2.21463254e+80
 4.34935988e+78
 1.28978598e+103
 6.31822439e+95
 3.44633933e+108
 1.47176519e+160
 4.20129305e+225
 3.83017584e+178
 2.28511234e+106
 1.77906060e+95
 4.82345727e+113
 2.23640479e+109
 1.02242442e+85
 3.52180497e+78
 1.24206149e+113
 9.02301035e+161
 3.19084875e+123
 3.62680827e+140
 1.22626205e+178
 1.74975009e+142
 3.64476898e+121
 1.80441924e+104
 1.88949105e+115
 8.31066196e+138
 9.10541795e+161
 1.49756500e+163
 1.72206581e+158
 1.74389514e+142
 4.04815397e+136
 4.28698124e+210
 1.14171368e+218
 1.45659260e+195
 3.47315182e+146
 3.01792218e+114
 2.90394124e+137
 1.15827984e+224
 9.13917562e+209
 7.24360624e+111
 3.92965589e+95
 6.04365104e+106
 1.10828761e+93
 2.23015743e+72
 1.96959157e+73
 2.57609466e+84
 1.36958103e+92
 4.33910204e+96
 7.47322736e+102
 1.82803797e+110
 3.17978219e+104
 5.37225362e+123
 4.67656411e+131
 1.08231884e+137
 2.38106522e+163
 1.05567307e+117
 1.90324975e+97
 3.69162780e+90
 3.09510881e+97
 2.37168125e+100
 1.92757387e+111
 1.20015602e+129
 2.91744940e+137
 1.55896713e+264
 1.13028011e+146
 1.83665052e+90
 1.88036294e+103
 5.91838682e+89
 5.00325640e+76
 6.01404954e+92
 2.84453366e+95
 1.69229573e+89
 1.23484709e+108
 7.17982557e+117
 2.83114563e+127
 3.78043177e+114
 1.28886446e+86
 4.83923296e+101
 8.93670239e+133
 9.50932349e+114
 2.30765894e+98
 1.81798751e+90
 4.05019168e+101
 4.49822561e+107
 3.67344919e+97
 6.97520566e+103
 3.14484455e+123
 7.90197931e+121
 3.72693852e+93
 1.15340466e+85
 5.53336377e+75
 2.50556798e+76
 6.26967981e+109
 1.30352896e+120
 2.61678483e+84
 1.88012834e+75
 6.94635563e+84
 4.80620644e+84
 9.41318183e+94
 1.40188761e+100
 3.69356136e+111
 4.73547294e+114
 3.50275877e+133
 1.96386680e+223
 3.04393285e+135
 3.89631064e+113
 9.07686412e+160
 6.52119443e+201
 2.33633214e+256
 2.38068514e+266
 4.24857854e+206
 4.41886113e+205
 2.52515482e+145
 3.01112558e+135
 8.32450635e+134
 1.54908978e+138
 1.42877764e+123
 3.62640435e+140
 8.89123827e+153
 2.76598307e+93
 1.79464520e+83
 7.53723963e+113
 1.13885777e+135
 1.72405981e+112
 3.35225825e+106
 7.13356202e+97
 4.09837542e+123
 1.32285354e+184
 4.73186685e+131
 1.02094340e+108
 1.08637155e+136
 9.78949700e+115
 1.20739384e+127
 4.09387637e+209
 6.46774324e+180
 7.94817990e+172
 2.73851692e+185
 3.71920650e+160
 8.49257353e+166
 3.76868470e+194
 3.16723349e+186
 5.04499103e+185
 1.83751244e+200
 5.18768122e+191
 1.47623499e+215
 Inf
 4.26985502e+246
 5.53304293e+132
 7.09018657e+157
 8.23468407e+266
 2.67337122e+218
 9.95716203e+204
 5.51391222e+264
 Inf
 5.11852362e+185
 1.92095247e+114
 6.23767642e+114
 9.17462606e+117
 1.89785544e+115
 5.64378136e+104
 6.41648501e+108
 4.55612918e+139
 4.89592437e+175
 4.09819575e+229
 1.08276198e+204
 1.66950414e+168
 6.65316842e+164
 2.04263132e+181
 4.48681187e+117
 3.19730993e+105
 2.82467878e+249
 Inf
 7.79078817e+130
 2.97492353e+99
 6.04365643e+121
 3.34980451e+169
 4.62268686e+211
 1.44696765e+219
 6.54210025e+214
 1.24109863e+247
 1.21645373e+166
 5.06253988e+127
 1.68593697e+186
 1.05709171e+301
 Inf
 7.46301911e+255
 2.77026906e+185
 Inf
 7.35428872e+254
 2.50515152e+159
 1.73490318e+165
 1.19578036e+145
 6.57732146e+173
 9.57759713e+278
 Inf
 4.53875751e+199
 3.02887774e+111
 2.34064793e+94
 2.76877603e+120
 1.58448652e+189
 4.95041289e+175
 1.73520447e+112
 4.88563534e+101
 3.95927354e+132
 1.21541586e+142
 4.02055421e+103
 1.46961517e+109
 3.74488897e+128
 2.73001820e+124
 2.96025153e+126
 1.20530367e+171
 9.87144490e+204
 8.82910784e+207
 3.25616439e+248
 3.77585547e+167
 1.69288825e+197
 Inf
 Inf
 2.37025555e+253
 1.80735915e+298
 Inf
 4.20317305e+229
 Inf
 1.41288227e+303
 5.28376676e+166
 7.60665599e+215
 1.01574343e+168
 4.06072894e+183
 4.00136966e+216
 3.76574798e+187
 4.11262589e+137
 2.54060685e+164
 7.58399661e+290
 6.21943987e+167
 1.43705882e+156
 1.44492913e+152
 2.78943685e+91
 1.14399161e+68
 1.07403131e+65
 2.21514669e+87
 2.97224786e+102
 2.32620599e+77
 3.71423777e+81
 6.88568273e+82
 1.02870775e+90
 3.67945075e+119
 5.97442553e+114
 9.66142026e+125
 6.09392329e+163
 4.05688772e+183
 4.97974836e+147
 3.71523024e+187
 2.44027725e+188
 6.48736028e+179
 2.75362911e+235
 4.88861626e+133
 1.23815176e+116
 7.58956073e+145
 7.08860650e+254
 3.89492304e+279
 3.69192184e+161
 5.15536455e+116
 1.81703321e+109
 9.29074398e+210
 Inf
 Inf
 2.51327680e+03
 2.51330371e+03
 2.51330474e+03
 2.70838586e+281
 5.91831678e+186
 Inf
 Inf
 2.41868515e+256
 5.39405422e+301
 Inf
 Inf
 Inf
 2.51330687e+03
 2.51329350e+03
 2.51328608e+03
 2.51337789e+03
 2.51351049e+03
 2.51416435e+03
 2.51375571e+03
 2.51351927e+03
 2.51390991e+03
 2.51439530e+03
 2.51415684e+03
 2.51378941e+03
 2.51352922e+03
 2.51332197e+03
 2.51329268e+03
 2.51337035e+03
 2.51397659e+03
 2.51399203e+03
 2.51348694e+03
 2.51351436e+03
 2.51389573e+03
 2.51370862e+03
 2.51383608e+03
 2.51400351e+03
 2.51383311e+03
 2.51515112e+03
 2.51545708e+03
 2.51411624e+03
 2.51368409e+03
 2.51356451e+03
 2.51386171e+03
 2.51432078e+03
 2.51327701e+03
 4.80973317e+104
 8.35814594e+96
 6.27661776e+131
 1.57779105e+135
 2.77022305e+109
 9.72055479e+115
 1.20026757e+171
 4.45906157e+184
 1.11638542e+155
 1.09733907e+149
 4.83538784e+133
 7.05031141e+254
 2.51328932e+03
 2.51327414e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 1.72442020e+245
 1.14149209e+213
 2.00547929e+223
 2.42903150e+286
 4.24994698e+246
 9.99476869e+163
 5.12869940e+203
 Inf
 Inf
 Inf
 Inf
 2.34294432e+255
 Inf
 1.49386635e+176
 1.21482136e+110
 1.64846193e+107
 9.39482714e+129
 3.29598868e+215
 3.68644513e+140
 4.17398775e+112
 2.99953382e+102
 5.70872592e+87
 8.66685230e+90
 5.92063934e+81
 3.07096297e+118
 2.50730748e+176
 5.29486400e+108
 4.51841445e+92
 2.38566330e+111
 4.42545205e+117
 1.11131183e+78
 1.64604341e+76
 3.17368226e+90
 9.70188550e+100
 1.05680654e+125
 1.61483062e+129
 1.15417891e+224
 2.51378798e+03
 2.51493188e+03
 2.51460644e+03
 2.51424294e+03
 2.51335956e+03
 2.51333154e+03
 Inf
 8.61054812e+138
 1.71228225e+158
 8.25199348e+144
 4.15675903e+135
 2.16304875e+132
 1.53505953e+108
 2.62744626e+104
 9.91061346e+82
 1.71565104e+102
 1.08369977e+136
 5.24690248e+129
 1.11424210e+153
 2.43985134e+123
 7.13416413e+96
 2.37116177e+100
 1.38970290e+125
 3.84978301e+153
 8.53016517e+150
 3.79831955e+114
 3.36053034e+92
 3.80002926e+98
 8.17828095e+116
 5.69909761e+135
 2.81085104e+121
 8.39507467e+96
 1.36841529e+112
 3.15439057e+123
 2.73920899e+117
 2.17016619e+105
 4.64681712e+131
 1.40510661e+222
 7.68906783e+215
 Inf
 2.68905055e+218
 9.87325950e+109
 7.85905796e+135
 1.72153057e+216
 6.99006455e+243
 6.48487752e+226
 1.48476314e+215
 Inf
 9.06852330e+249
 2.18843240e+178
 3.18906840e+201
 1.60845088e+132
 5.60574188e+136
 5.72824530e+171
 5.16276480e+116
 4.64406563e+120
 3.59683432e+192
 2.74725112e+168
 4.39536101e+94
 7.43824618e+87
 1.88517234e+97
 2.57543113e+77
 1.10408179e+76
 2.91847375e+84
 1.01696605e+87
 6.12999568e+82
 2.46068407e+80
 2.61141708e+97
 2.71528390e+117
 1.70014530e+158
 Inf
 2.51327983e+03
 4.29489086e+229
 1.52811182e+137
 8.16389249e+266
 Inf
 Inf
 3.00714417e+307
 8.05213808e+172
 2.11482016e+217
 2.06079197e+181
 6.14828069e+167
 1.15449446e+262
 1.07361700e+301
 2.51327429e+03
 2.51362998e+03
 2.51357312e+03
 2.51346463e+03
 2.51456778e+03
 2.51479171e+03
 2.51342217e+03
 2.51332733e+03
 2.51332551e+03
 2.51337598e+03
 2.51333590e+03
 2.51334997e+03
 Inf
 Inf
 2.51330580e+03
 Inf
 4.36490903e+151
 1.65369206e+168
 1.66653635e+245
 Inf
 Inf
 Inf
 Inf
 1.09692785e+148
 3.36283653e+38
 9.45368685e+33
 3.12679267e+49
 2.24325899e+50
 3.41436148e+72
 2.88927206e+232
 3.15970164e+284
 Inf
 2.51329214e+03
 2.51333106e+03
 2.51349903e+03
 2.51336912e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.04232659e+94
 1.77133753e+33
 7.37368398e+28
 2.27982023e+48
 1.67277288e+58
 4.06159844e+59
 1.16772134e+55
 5.25901285e+53
 2.31471640e+57
 1.75708638e+57
 4.41167972e+52
 1.10762926e+49
 2.08358857e+51
 2.64283425e+48
 5.58922638e+48
 1.97780277e+54
 2.49768913e+51
 2.48101838e+50
 1.76917241e+56
 1.50661652e+55
 3.35812953e+46
 6.16140241e+44
 2.87436275e+52
 8.94452610e+57
 4.58265694e+59
 2.76652704e+62
 4.42056926e+61
 4.52187581e+64
 3.97991453e+65
 1.07924592e+60
 4.75765530e+60
 1.16469930e+69
 1.76200466e+66
 1.91235572e+69
 3.13098977e+77
 8.33119212e+81
 1.49294579e+82
 2.49646636e+61
 8.90516519e+67
 5.06565933e+89
 5.46128490e+62
 5.85991990e+56
 5.40831660e+72
 1.86084318e+74
 3.49353900e+67
 1.21349410e+76
 2.98091513e+62
 1.50639598e+58
 8.21011718e+67
 6.91971273e+71
 2.59157271e+72
 1.10527397e+62
 5.43774641e+73
 1.08674114e+53
 9.62660766e+47
 5.36039313e+72
 7.07203220e+67
 6.68248739e+65
 3.19628044e+68
 9.60294313e+63
 3.22950766e+50
 3.96875654e+21
 6.65654430e+23
 1.10482794e+71
 1.70683734e+72
 2.91129048e+84
 2.95876628e+114
 2.90393015e+137
 3.77603210e+128
 1.44179518e+161
 3.79220586e+289
 4.28926876e+141
 3.41711388e+89
 5.90158814e+94
 7.58141818e+113
 1.36921757e+97
 1.18803471e+92
 5.32667460e+233
 Inf
 3.14468808e+232
 1.93721767e+305
 3.29731091e+248
 2.60555781e+150
 8.50406947e+97
 1.09347846e+138
 4.71560644e+273
 2.45704467e+278
 1.14538402e+213
 1.15329936e+180
 2.32566262e+148
 1.17625356e+101
 2.22716375e+109
 7.86764195e+137
 2.84059892e+151
 1.11494737e+146
 1.50057584e+104
 7.71300271e+136
 Inf
 6.51624812e+228
 2.58136941e+164
 2.31613264e+177
 4.39486148e+205
 8.87035605e+208
 2.99767743e+141
 2.49824861e+145
 1.12186888e+174
 3.42070307e+222
 5.15428502e+193
 3.75298231e+187
 1.70660492e+240
 7.06891554e+224
 9.14009229e+209
 3.58828917e+149
 2.13819253e+143
 2.72289774e+235
 Inf
 2.31542954e+254
 1.40680847e+167
 1.52687246e+136
 1.84959394e+125
 1.54493870e+138
 4.28955643e+210
 2.42282657e+286
 3.44855050e+272
 8.16981449e+156
 5.47685143e+132
 1.57821878e+135
 3.92912672e+144
 7.31363915e+140
 2.57632349e+140
 1.06996758e+248
 4.50891071e+184
 5.66128086e+136
 1.71635540e+130
 9.81629688e+100
 6.05953814e+115
 9.40069719e+159
 3.63932399e+161
 2.59769395e+155
 5.55675972e+195
 1.39769904e+167
 3.65136426e+192
 Inf
 Inf
 Inf
 6.29635104e+239
 2.10281496e+205
 1.29725280e+126
 7.10006553e+92
 3.36374984e+100
 1.81924358e+90
 7.62962449e+91
 6.79839678e+93
 1.05289746e+75
 3.75548273e+79
 1.14100351e+79
 1.04739481e+75
 4.81278605e+82
 1.71896098e+87
 2.89497050e+83
 8.69242545e+85
 2.05591109e+137
 9.56138196e+248
 4.10426110e+100
 1.11088731e+70
 4.82381690e+74
 1.04527003e+75
 2.57337087e+66
 2.72308045e+68
 1.14403849e+101
 2.48942510e+102
 7.65682770e+71
 2.66700401e+69
 1.43763660e+88
 1.09541302e+107
 8.88303690e+91
 6.54354835e+77
 4.08145259e+112
 4.12189151e+123
 8.75715360e+90
 7.63200954e+91
 2.48086549e+102
 3.70832656e+93
 1.14692883e+79
 9.36281249e+81
 1.01093161e+131
 2.30163497e+148
 5.91336088e+93
 5.91179359e+94
 1.40178431e+100
 1.70703230e+112
 1.78626653e+105
 2.06901979e+91
 9.75342166e+91
 1.65439379e+76
 4.46695526e+71
 3.86401484e+95
 4.98327121e+142
 1.41892182e+100
 6.13652695e+75
 8.43505778e+80
 4.17710436e+72
 3.18151738e+62
 1.51119854e+66
 1.96276342e+73
 6.70876442e+75
 1.69243591e+77
 1.69623242e+74
 3.77123446e+73
 2.54824337e+78
 2.21648224e+66
 8.58774608e+66
 1.49100704e+95
 3.34568804e+87
 3.44550506e+71
 3.50015020e+78
 8.74277710e+111
 3.32133636e+112
 1.39365433e+98
 6.30780833e+95
 2.28622941e+108
 5.97693799e+120
 1.67073094e+101
 1.66135968e+121
 6.10028929e+113
 1.44701745e+102
 2.08037424e+95
 1.16963084e+74
 1.05035006e+68
 4.01605429e+85
 1.00548761e+108
 1.83121788e+110
 5.14970543e+156
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.23937958e+155
 1.91339384e+114
 1.92819938e+166
 1.96746329e+206
 7.32458352e+170
 3.98961325e+216
 4.45485076e+220
 1.15440975e+180
 1.67190201e+245
 4.33342234e+108
 3.77907599e+122
 Inf
 9.23385817e+209
 1.24000498e+247
 Inf
 2.51327413e+03
 1.87792575e+298
 Inf
 2.51327413e+03
 Inf
 Inf
 Inf
 3.87901018e+241
 1.76193661e+142
 1.68096966e+197
 Inf
 5.90929513e+244
 1.37657349e+193
 Inf
 9.67791045e+129
 4.56265284e+76
 4.27981187e+97
 2.68351433e+144
 2.03413880e+169
 5.20845057e+166
 6.65122444e+164
 5.24988097e+102
 1.68978654e+82
 4.53792042e+75
 7.73133137e+82
 2.06466582e+95
 3.70800904e+94
 2.78863995e+75
 7.66095804e+67
 3.12021746e+86
 1.71866594e+102
 2.86593618e+88
 4.68752168e+70
 8.59753099e+74
 2.91673816e+89
 5.00484549e+93
 5.83803692e+93
 7.12319294e+142
 8.49532505e+188
 9.56305179e+129
 2.41418222e+111
 2.41850490e+125
 3.52832108e+142
 6.00579821e+114
 7.74537153e+136
 5.16764912e+166
 3.66313518e+140
 7.05331339e+103
 1.88920884e+115
 4.44485437e+168
 2.79491121e+91
 1.72503494e+87
 9.07343459e+117
 1.23252979e+134
 Inf
 6.81025739e+270
 1.02693173e+159
 2.20331734e+239
 2.60872922e+226
 1.05533264e+230
 Inf
 1.75256377e+112
 2.21129341e+61
 2.32068103e+100
 3.70399552e+178
 1.42543438e+96
 2.47399224e+76
 5.32924719e+71
 1.05488171e+74
 2.99601836e+74
 9.83475278e+85
 1.07385992e+94
 7.41642306e+88
 3.82439629e+82
 7.53675001e+64
 3.13495125e+69
 6.72393370e+76
 1.79969504e+73
 2.16370444e+70
 6.20370549e+62
 4.01494851e+69
 2.20361067e+89
 1.84343230e+92
 4.01879140e+74
 4.08510055e+67
 2.52332910e+59
 5.27770104e+71
 2.45341993e+102
 1.24771360e+84
 2.20230957e+80
 3.72891859e+88
 2.28736118e+98
 2.34965788e+93
 4.19329125e+81
 2.01410154e+83
 5.87750203e+77
 2.19327686e+67
 1.01682110e+61
 5.85437084e+52
 1.47283075e+48
 4.83408935e+39
 6.18205486e+37
 1.50884075e+49
 1.28440163e+55
 8.59135049e+58
 1.22408444e+61
 2.52890687e+58
 4.61874136e+70
 4.77217534e+84
 4.07934384e+76
 3.77540280e+73
 9.01587521e+65
 1.29807423e+55
 7.55651183e+57
 3.93776270e+60
 3.89856464e+70
 1.57318568e+84
 9.88116393e+85
 4.90810393e+88
 6.12618193e+76
 2.26632150e+69
 4.45220809e+71
 1.68524605e+64
 6.82696910e+58
 1.70137491e+63
 7.97755188e+63
 2.04642659e+49
 7.06155577e+47
 1.35071251e+49
 5.01259138e+49
 3.12735004e+63
 3.59391191e+56
 1.59549076e+48
 3.45412859e+49
 1.83954210e+50
 1.81218945e+47
 1.46696834e+48
 1.52560327e+49
 5.28429063e+41
 7.95758839e+40
 4.60636180e+47
 2.26393570e+47
 5.44204108e+40
 9.92548741e+41
 2.25914214e+50
 1.42326093e+51
 2.63592504e+47
 4.13699830e+47
 1.82240896e+51
 3.37773048e+56
 8.10695249e+56
 4.84294423e+52
 2.00716361e+50
 6.66990028e+50
 2.70109023e+50
 1.65238149e+48
 9.97002536e+47
 2.66649592e+54
 1.35754099e+55
 2.01854537e+44
 2.99765944e+44
 9.19492328e+44
 4.99085712e+47
 8.05090287e+56
 3.93266283e+48
 5.59574487e+42
 9.88614582e+45
 5.57735592e+48
 8.22963551e+47
 7.04564563e+41
 2.39706001e+38
 1.32933069e+37
 5.21803192e+36
 6.20423133e+39
 1.50492262e+41
 3.26604243e+44
 1.80374404e+47
 1.31712753e+41
 2.28391439e+39
 7.73967105e+38
 1.36031891e+37
 9.88517352e+41
 1.62461287e+43
 8.10870632e+39
 5.47932675e+38
 1.42845136e+36
 1.62289654e+38
 8.53819687e+46
 2.07954445e+45
 1.05643324e+42
 3.33720150e+42
 8.34888337e+41
 6.09512711e+42
 4.11991405e+42
 1.68569236e+42
 3.54588130e+43
 8.35646464e+41
 3.02959698e+43
 9.94032878e+42
 1.02199154e+41
 1.22946080e+43
 4.99733479e+40
 6.06140620e+41
 2.14797537e+43
 6.47780509e+43
 4.57072279e+43
 4.24874776e+42
 1.79799863e+43
 6.75707413e+47
 1.64887808e+48
 1.29939236e+42
 3.45344336e+48
 7.85615127e+59
 3.66593123e+50
 2.35428765e+40
 2.36173343e+41
 1.00223530e+42
 2.28332073e+38
 1.34855779e+44
 1.04117843e+55
 1.66860788e+64
 2.49493077e+75
 3.45413369e+65
 1.76741203e+55
 6.69858524e+51
 1.36202494e+48
 1.39946912e+51
 2.72112376e+56
 5.94715454e+49
 1.12519837e+51
 6.39063531e+52
 7.41105971e+43
 1.89068136e+41
 2.32878372e+48
 3.13109653e+62
 4.25411204e+77
 7.08667113e+67
 1.75579007e+52
 6.37987265e+53
 2.70665447e+50
 3.25806003e+45
 6.96859338e+49
 8.13338106e+53
 4.03080298e+55
 1.55409180e+59
 2.19621744e+47
 5.94614559e+39
 2.42665246e+44
 2.62276304e+47
 4.44129160e+43
 2.01586540e+39
 3.46082023e+37
 1.47354520e+43
 5.08233287e+45
 8.28938193e+42
 1.63709459e+42
 4.50663333e+42
 9.81370218e+43
 1.25119623e+50
 1.18597943e+57
 3.28066132e+54
 4.78086229e+45
 2.68160142e+43
 3.13052479e+43
 4.58041476e+45
 8.93846923e+53
 6.13356154e+55
 8.16881975e+53
 4.02910049e+42
 3.14778235e+40
 1.83275293e+41
 3.43884664e+39
 2.53595018e+45
 1.91250918e+50
 3.67427279e+42
 1.77441790e+39
 4.96051981e+47
 2.37728562e+51
 1.26011285e+48
 5.00380932e+47
 1.68380438e+43
 1.59895134e+37
 9.19087681e+39
 9.51517674e+45
 2.65750468e+41
 9.99045990e+35
 1.32577763e+29
 3.82785771e+28
 1.38964195e+38
 8.16622513e+49
 5.60535773e+50
 3.51622506e+44
 1.09073235e+43
 7.30417816e+37
 3.75311171e+38
 9.29975557e+53
 2.12118360e+49
 5.02019891e+40
 1.15577939e+43
 2.63432126e+45
 3.03078738e+45
 2.02503199e+43
 1.41358925e+42
 7.29116196e+47
 5.84454426e+50
 2.53301097e+60
 4.70541178e+113
 1.00654769e+133
 1.19848579e+92
 5.67295991e+64
 2.01705836e+67
 8.34526608e+65
 6.49314815e+46
 4.44075560e+41
 4.39930899e+44
 1.92192824e+48
 5.84664576e+50
 1.57726256e+46
 1.31356350e+43
 1.29151717e+49
 1.21607236e+56
 5.39158417e+50
 1.01984412e+44
 2.22028158e+43
 2.59427072e+43
 5.09003648e+42
 3.99403249e+38
 3.70500421e+39
 1.34642236e+43
 1.05623238e+43
 1.99876614e+41
 2.31781549e+46
 7.16602519e+46
 2.50329080e+46
 1.27974267e+51
 1.41801459e+46
 4.75830753e+48
 5.44412028e+49
 2.49041754e+49
 6.06077390e+47
 1.49943585e+44
 1.32370839e+58
 8.93802788e+65
 5.13919550e+51
 3.84667344e+47
 1.20150816e+47
 3.90497170e+53
 1.75164896e+51
 2.18610891e+47
 2.25258073e+48
 1.46829780e+48
 8.52212720e+54
 1.99913699e+58
 4.35047101e+50
 3.47181021e+46
 3.87059313e+44
 2.62331710e+47
 1.94280187e+45
 1.00208974e+40
 1.49453373e+42
 3.53396836e+38
 1.32956068e+37
 9.05778867e+41
 3.37807518e+44
 1.02330951e+41
 1.04131711e+37
 1.82934714e+40
 1.50519063e+41
 3.75539465e+42
 3.07392331e+156
 2.51327456e+03
 1.46624772e+191
 5.97478351e+221
 1.91335508e+144
 1.03673400e+141
 3.41068563e+171
 Inf
 2.51332733e+03
 2.51366521e+03
 2.51450524e+03
 2.51413272e+03
 2.51393232e+03
 2.51377523e+03
 2.51374612e+03
 2.51493694e+03
 2.51514319e+03
 2.51454078e+03
 2.51485087e+03
 2.51439949e+03
 2.51344110e+03
 Inf
 Inf
 Inf
 Inf
 1.59286308e+308
 1.60891115e+135
 1.30920366e+144
 3.36946632e+147
 4.89381663e+113
 7.11788483e+96
 1.49283959e+93
 8.17317901e+92
 1.97999177e+101
 4.59231024e+95
 7.47041946e+102
 2.10665997e+143
 6.92093701e+224
 1.93435291e+305
 3.02048778e+157
 2.49400839e+113
 3.18845107e+125
 6.58958601e+178
 2.04849077e+181
 3.06077853e+138
 4.42107189e+184
 1.90450763e+192
 3.20509895e+166
 4.23833764e+141
 2.56620733e+150
 2.25827645e+212
 3.75633762e+200
 2.53447294e+228
 Inf
 Inf
 Inf
 1.50090359e+234
 8.38756617e+266
 2.00857023e+236
 1.18734100e+182
 1.02180001e+261
 6.62618896e+201
 1.59882747e+164
 9.53153406e+159
 1.09843518e+149
 1.13939186e+180
 1.91952870e+115
 2.44526601e+95
 1.12982157e+135
 3.40448241e+171
 2.93086959e+129
 3.74127618e+94
 1.54935288e+111
 7.78838258e+172
 9.39227909e+162
 6.60653671e+173
 Inf
 Inf
 7.40433673e+292
 4.97257788e+217
 3.95442446e+237
 8.61640481e+196
 2.41832807e+149
 4.53391299e+188
 7.00917653e+224
 2.88454090e+224
 6.13015599e+134
 2.04896342e+154
 Inf
 Inf
 Inf
 8.36221242e+250
 Inf
 Inf
 Inf
 7.18528416e+224
 1.06287546e+268
 3.99450617e+262
 1.08674821e+204
 2.51810690e+251
 6.49085303e+226
 6.15011714e+155
 2.42576407e+111
 9.02677355e+89
 2.26432386e+103
 3.58365960e+120
 1.37364308e+119
 2.15058098e+152
 1.72868054e+150
 1.82663203e+140
 5.78809921e+186
 1.90525627e+192
 1.98663889e+210
 8.69178796e+288
 Inf
 Inf
 1.73952484e+240
 Inf
 Inf
 Inf
 Inf
 2.47137427e+243
 3.46233903e+222
 2.13110536e+233
 1.67522612e+168
 5.02682608e+185
 Inf
 Inf
 Inf
 2.46582233e+286
 Inf
 Inf
 5.53379776e+306
 8.88088071e+298
 Inf
 Inf
 Inf
 7.16697979e+192
 1.20079722e+145
 8.42032017e+122
 4.23592991e+151
 2.53520631e+176
 6.09704375e+134
 6.03213022e+159
 5.70845386e+144
 1.03024546e+122
 5.56537956e+169
 2.09417018e+211
 Inf
 2.16392651e+233
 6.56148117e+158
 1.31620457e+144
 4.05365544e+207
 Inf
 Inf
 7.54118975e+252
 Inf
 Inf
 Inf
 Inf
 2.51334094e+03
 2.51341092e+03
 2.51330544e+03
 Inf
 1.63606819e+227
 Inf
 Inf
 2.51331446e+03
 2.51336488e+03
 Inf
 Inf
 Inf
 3.04513407e+267
 2.42766433e+163
 5.27510440e+129
 3.53565934e+149
 8.47192694e+175
 6.43226393e+180
 9.04038590e+199
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51336668e+03
 2.51341686e+03
 Inf
 5.13753013e+269
 Inf
 2.51327548e+03
 2.51327843e+03
 Inf
 2.51327474e+03
 Inf
 Inf
 2.51328765e+03
 2.51330440e+03
 2.51328093e+03
 Inf
 2.51327416e+03
 2.51331648e+03
 2.51327640e+03
 2.51327435e+03
 2.51330236e+03
 2.51332328e+03
 2.51332779e+03
 Inf
 Inf
 2.51328836e+03
 Inf
 Inf
 Inf
 6.66227874e+181
 3.89975817e+153
 1.92001224e+157
 8.01497203e+232
 2.52081580e+221
 1.92815692e+209
 Inf
 2.51331566e+03
 2.51328286e+03
 Inf
 Inf
 Inf
 2.51327424e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51335611e+03
 2.51333840e+03
 2.51327843e+03
 2.51339383e+03
 2.51347163e+03
 2.51335611e+03
 2.51335956e+03
 2.51353731e+03
 2.51369951e+03
 2.51347518e+03
 2.51340223e+03
 2.51348878e+03
 2.51340223e+03
 2.51330236e+03
 Inf
 2.51370994e+03
 2.51343228e+03
 9.34956198e+288
 Inf
 Inf
 4.63381856e+188
 2.70642096e+191
 Inf
 2.39664335e+266
 Inf
 2.51329491e+03
 Inf
 Inf
 Inf
 Inf
 2.51334354e+03
 2.51332067e+03
 Inf
 2.51329943e+03
 2.51338839e+03
 2.51332596e+03
 2.51327701e+03
 2.51331607e+03
 2.51344191e+03
 2.51329577e+03
 2.51329911e+03
 2.51329032e+03
 2.51327587e+03
 2.51327621e+03
 2.51328461e+03
 2.51342140e+03
 2.51338572e+03
 Inf
 Inf
 2.51356450e+03
 2.51364559e+03
 Inf
 5.62827757e+306
 Inf
 2.07880236e+171
 7.78501909e+115
 6.05554139e+97
 2.22434509e+109
 3.58368323e+179
 3.66406126e+181
 1.13544160e+218
 Inf
 Inf
 Inf
 8.01963418e+257
 Inf
 4.26985404e+246
 Inf
 Inf
 Inf
 2.93981748e+307
 1.95772815e+305
 3.95394978e+234
 1.63006454e+229
 3.68946109e+192
 2.17310151e+178
 3.08717472e+232
 Inf
 2.51329519e+03
 Inf
 4.66161093e+287
 Inf
 7.89484673e+251
 4.08956175e+177
 Inf
 Inf
 Inf
 Inf
 Inf
 8.70276411e+242
 7.72991475e+290
 9.33086871e+216
 1.99510530e+236
 7.47049151e+252
 1.48769750e+176
 3.47608720e+176
 1.09288049e+199
 Inf
 Inf
 Inf
 2.51332024e+03
 2.51328860e+03
 Inf
 4.11835511e+227
 Inf
 Inf
 Inf
 Inf
 1.30116780e+273
 2.01469550e+116
 8.40466314e+101
 1.31136695e+198
 9.74205857e+248
 Inf
 Inf
 2.32989058e+255
 Inf
 2.51333106e+03
 2.51329187e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.10986632e+181
 2.28373837e+167
 8.14760331e+250
 1.89198292e+220
 1.75152225e+165
 2.04964537e+190
 4.05883219e+177
 9.70100063e+174
 1.95933416e+288
 Inf
 Inf
 7.34915466e+294
 Inf
 2.51336190e+03
 2.51336550e+03
 2.51329083e+03
 2.51329880e+03
 2.51337346e+03
 2.51341387e+03
 2.51332197e+03
 2.51331133e+03
 2.51337853e+03
 2.51338049e+03
 2.51332417e+03
 2.51331897e+03
 2.51333992e+03
 2.51336912e+03
 2.51340509e+03
 2.51331249e+03
 2.51327452e+03
 Inf
 2.51327548e+03
 2.51332240e+03
 2.51335441e+03
 2.51327817e+03
 Inf
 3.26992726e+201
 2.41529662e+101
 2.07982411e+95
 3.16347176e+104
 8.14505081e+64
 1.68514668e+74
 2.11565735e+135
 3.25393833e+152
 2.47899493e+221
 1.37280430e+193
 7.47436601e+148
 5.69566503e+144
 1.85300797e+125
 1.65516709e+107
 1.02485864e+141
 3.95782286e+155
 2.03991372e+169
 4.68334251e+172
 3.02603900e+135
 2.10175600e+136
 6.08544485e+167
 3.19168399e+166
 1.07158473e+148
 5.69303617e+189
 2.68270500e+230
 8.50111748e+258
 5.65062345e+195
 2.48056019e+203
 Inf
 5.47072750e+301
 Inf
 Inf
 3.07454394e+242
 3.42860324e+169
 2.46728778e+203
 2.43365747e+243
 1.11229452e+136
 7.43038998e+132
 1.88569316e+144
 5.60616930e+169
 1.22243365e+124
 3.77727532e+114
 1.56572993e+164
 4.42553120e+134
 1.98443722e+113
 3.32323006e+112
 6.59510120e+110
 1.80609207e+140
 1.32217603e+263
 1.10654242e+199
 6.05963833e+141
 1.18996665e+145
 4.89203110e+269
 Inf
 3.78597556e+297
 8.96260012e+208
 1.50748363e+160
 4.68556521e+204
 5.51352129e+264
 7.55193000e+168
 2.60130936e+155
 1.12479121e+174
 7.62059450e+215
 3.41888284e+169
 4.78599911e+154
 1.35961111e+303
 3.89974097e+289
 1.08770665e+238
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.79895146e+198
 6.49775240e+179
 3.37220587e+219
 2.94487792e+249
 3.43261640e+272
 5.57253133e+264
 Inf
 8.18792827e+156
 1.01762527e+133
 2.17767244e+199
 3.75193078e+241
 Inf
 3.76220169e+297
 2.13158297e+211
 Inf
 Inf
 3.53630036e+261
 4.17190332e+164
 1.29854542e+188
 Inf
 3.00054575e+238
 3.93740452e+190
 Inf
 Inf
 1.96403671e+265
 Inf
 Inf
 1.11303178e+238
 4.08403671e+177
 Inf
 Inf
 2.85991433e+259
 2.87279793e+195
 1.60546788e+296
 1.43469929e+191
 1.74025942e+150
 6.52060074e+181
 3.12406918e+284
 Inf
 3.71357851e+161
 2.98367578e+126
 9.57143159e+174
 1.07605559e+165
 9.37805800e+162
 2.54212160e+176
 7.41803778e+165
 4.45401363e+184
 1.46057718e+162
 4.54913894e+188
 5.75732626e+202
 1.30789324e+188
 5.34955156e+236
 Inf
 Inf
 1.06821782e+226
 5.36596636e+301
 1.05057843e+235
 3.96497837e+237
 2.44758160e+243
 2.40949747e+252
 Inf
 Inf
 9.23019915e+199
 1.47319191e+234
 Inf
 Inf
 7.94907129e+296
 Inf
 Inf
 9.09461891e+298
 1.07254573e+242
 1.38178440e+269
 1.25006605e+169
 3.68880954e+162
 2.02819723e+180
 5.65794623e+174
 2.18038044e+152
 8.24212090e+144
 3.91506350e+129
 1.27292559e+130
 7.08436219e+157
 2.29787450e+161
 1.55048259e+201
 4.00668760e+276
 1.14520006e+213
 1.05010629e+143
 2.22623536e+183
 2.51351340e+03
 2.51358304e+03
 Inf
 Inf
 Inf
 Inf
 1.15884848e+213
 1.43588873e+222
 6.17093299e+277
 4.36147429e+196
 5.13466972e+193
 8.44122791e+258
 Inf
 Inf
 4.29136005e+246
 1.46207277e+237
 1.93887186e+305
 Inf
 Inf
 7.45000071e+294
 2.59504034e+164
 2.76114545e+117
 2.46850239e+107
 1.93241593e+111
 1.27475605e+126
 6.61905990e+110
 2.87253273e+88
 1.19153684e+96
 5.59225650e+144
 3.53174621e+133
 7.73517158e+115
 1.53818850e+170
 7.06266087e+177
 4.62054878e+157
 6.41029741e+151
 6.48212889e+158
 2.39423474e+163
 1.01387861e+159
 6.64055132e+164
 3.88843797e+153
 2.59730609e+170
 4.73799649e+240
 9.39451683e+205
 2.04406975e+180
 4.70802344e+204
 1.03048629e+212
 1.71500969e+240
 3.88636579e+279
 Inf
 Inf
 6.44518414e+280
 1.09214221e+119
 1.62751289e+119
 1.15651047e+179
 2.06857391e+154
 8.48053664e+166
 2.77204928e+202
 5.31614737e+149
 3.19178811e+150
 4.22495788e+141
 4.96184771e+122
 1.84327319e+125
 8.40870978e+166
 1.93158868e+194
 2.51369691e+03
 2.51857622e+03
 2.52001910e+03
 2.51863565e+03
 2.51655917e+03
 2.51526451e+03
 2.51379370e+03
 2.51337408e+03
 2.51329187e+03
 Inf
 Inf
 2.49304774e+278
 9.38768790e+185
 8.95542956e+206
 9.11567380e+209
 1.34060896e+177
 7.61348879e+200
 1.47874896e+215
 1.03185220e+108
 1.77989639e+95
 4.01942489e+164
 2.67380249e+302
 Inf
 Inf
 2.49548681e+278
 4.25324362e+206
 4.11339786e+207
 Inf
 Inf
 1.52084273e+185
 6.75470276e+197
 8.66679976e+288
 4.06235433e+276
 2.46657500e+188
 3.67498447e+140
 9.32395709e+162
 5.56769073e+195
 6.12799487e+155
 1.31791122e+120
 4.86472657e+113
 2.54346306e+150
 1.40519636e+191
 2.07863570e+179
 9.59339794e+278
 1.10177337e+248
 1.05842123e+230
 7.55848219e+256
 3.07059797e+189
 Inf
 Inf
 Inf
 3.08959974e+189
 5.35117485e+236
 1.03924480e+276
 1.93652969e+207
 1.75351719e+216
 1.35175650e+263
 6.77635469e+265
 1.02584351e+306
 4.38661515e+282
 7.06105198e+274
 1.39899015e+303
 2.46588511e+257
 Inf
 1.06197986e+226
 1.13797907e+174
 1.20513213e+166
 3.43184935e+171
 6.73553329e+197
 1.20974884e+166
 2.33423845e+139
 1.70044432e+134
 1.01272037e+133
 3.78524598e+114
 2.10396261e+128
 1.00540029e+276
 Inf
 Inf
 3.94532907e+173
 2.24279353e+204
 2.05674415e+171
 1.54467159e+108
 3.36376633e+148
 Inf
 Inf
 Inf
 2.51328789e+03
 2.51335668e+03
 2.51333541e+03
 2.51332965e+03
 2.51330236e+03
 2.51327438e+03
 Inf
 3.49738033e+222
 3.11389031e+232
 Inf
 1.05182929e+235
 8.00650101e+172
 1.18460913e+232
 6.55391351e+214
 1.65180720e+172
 1.17508395e+179
 6.75212796e+127
 1.21149903e+127
 7.37509017e+152
 1.06874463e+148
 3.63313572e+192
 1.33722741e+177
 7.48730076e+132
 5.35073219e+110
 3.15287960e+123
 1.08825347e+149
 2.10054346e+217
 7.50108691e+283
 9.06973842e+206
 1.03830107e+235
 1.05663308e+230
 2.44409115e+257
 Inf
 4.71727306e+231
 7.34591042e+142
 7.76049145e+257
 3.09889988e+260
 2.23174584e+199
 1.00682849e+228
 6.60181295e+201
 2.76715149e+202
 4.17899199e+209
 5.09202834e+212
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.27216530e+303
 3.14265272e+232
 1.51288439e+163
 5.63871666e+174
 2.47024576e+203
 3.14140954e+284
 4.35575222e+299
 5.22514993e+203
 5.69275007e+213
 9.96113472e+163
 6.64779937e+164
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.07865113e+242
 Inf
 Inf
 3.07536671e+267
 6.69845474e+173
 2.74946866e+235
 Inf
 2.57123522e+213
 1.91341456e+192
 2.95574251e+267
 Inf
 1.86571531e+270
 1.62113541e+227
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.09354602e+227
 1.72254662e+186
 4.46666740e+199
 2.51327412e+03
 2.51327527e+03
 4.62567917e+184
 1.10300779e+149
 1.33432612e+184
 Inf
 1.63869602e+296
 1.04727875e+276
 5.74459099e+213
 Inf
 2.51327438e+03
 Inf
 Inf
 Inf
 Inf
 5.93549988e+244
 2.29687132e+254
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327690e+03
 2.51327780e+03
 Inf
 7.60292774e+235
 5.70090020e+174
 1.77816035e+283
 Inf
 Inf
 7.54119304e+252
 1.73680746e+225
 4.79257164e+240
 1.14087793e+213
 Inf
 Inf
 2.69718645e+218
 3.26235964e+248
 Inf
 Inf
 1.07355599e+276
 1.44602818e+246
 Inf
 Inf
 Inf
 2.51327587e+03
 2.51360208e+03
 2.51368793e+03
 2.51374611e+03
 2.51363235e+03
 2.51365286e+03
 2.51349998e+03
 2.51347075e+03
 2.51415126e+03
 2.51430060e+03
 2.51361125e+03
 2.51376263e+03
 2.51381983e+03
 2.51373930e+03
 2.51408192e+03
 2.51372717e+03
 2.51350953e+03
 Inf
 1.88025676e+200
 2.76594261e+235
 2.44374195e+278
 Inf
 2.27308778e+239
 1.61534866e+227
 6.69954941e+270
 8.36365828e+222
 2.79211792e+172
 5.13917290e+203
 Inf
 1.62710449e+264
 8.02793509e+172
 1.33807558e+263
 Inf
 2.51329666e+03
 2.51373389e+03
 2.51415128e+03
 2.51417210e+03
 2.51558804e+03
 2.51583986e+03
 2.51416622e+03
 2.51369821e+03
 2.51339940e+03
 2.51359754e+03
 2.51371258e+03
 2.51361356e+03
 2.51383609e+03
 2.51366148e+03
 2.51382275e+03
 2.51440584e+03
 2.51428241e+03
 2.51430854e+03
 2.51371653e+03
 2.51328195e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 1.15810816e+218
 1.09171428e+190
 6.64013375e+173
 2.57243972e+153
 3.89440573e+237
 4.87666401e+223
 1.51150794e+163
 4.05633028e+183
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328421e+03
 Inf
 2.03820384e+244
 1.02242166e+306
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327514e+03
 2.51332110e+03
 Inf
 2.52750692e+286
 Inf
 Inf
 Inf
 Inf
 2.26788882e+239
 Inf
 5.75700415e+285
 8.68442443e+188
 6.63894454e+173
 2.54788674e+176
 3.43879335e+171
 2.07914703e+205
 2.43456663e+243
 Inf
 Inf
 Inf
 Inf
 5.53550103e+306
 Inf
 5.54915520e+306
 Inf
 Inf
 Inf
 Inf
 Inf
 3.95590338e+279
 Inf
 1.07654885e+242
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327548e+03
 Inf
 2.51327424e+03
 2.51329491e+03
 2.51332240e+03
 2.51327435e+03
 Inf
 Inf
 Inf
 2.76534238e+250
 7.07777005e+224
 2.29683372e+255
 5.17331781e+193
 1.03562341e+235
 1.56405901e+308
 4.36734983e+299
 6.05820899e+221
 9.33516621e+185
 Inf
 Inf
 Inf
 Inf
 2.34903101e+253
 Inf
 Inf
 Inf
 2.51328126e+03
 Inf
 Inf
 4.66817685e+231
 Inf
 2.51332596e+03
 2.51335668e+03
 2.51329350e+03
 2.51331648e+03
 2.51351829e+03
 2.51347163e+03
 2.51348147e+03
 2.51383311e+03
 2.51401717e+03
 2.51364314e+03
 2.51355389e+03
 2.51354452e+03
 2.51336428e+03
 2.51346117e+03
 2.51334997e+03
 2.51328720e+03
 2.51338839e+03
 2.51344684e+03
 2.51331094e+03
 2.51327954e+03
 Inf
 3.88367142e+241
 1.74015160e+158
 3.64343074e+192
 2.12195826e+300
 4.06245269e+216
 2.57792992e+164
 1.41032525e+191
 2.78004896e+259
 Inf
 Inf
 Inf
 2.34400251e+161
 1.06437557e+238
 Inf
 Inf
 Inf
 Inf
 2.51329818e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.47721649e+278
 1.07093139e+268
 Inf
 2.51329726e+03
 2.51365778e+03
 2.51375574e+03
 2.51369304e+03
 2.51381981e+03
 2.51364678e+03
 2.51348057e+03
 2.51339452e+03
 2.51329350e+03
 2.51329943e+03
 2.51328195e+03
 Inf
 2.51331056e+03
 2.51333106e+03
 2.51329322e+03
 2.51329295e+03
 2.51327578e+03
 2.51327669e+03
 2.51331406e+03
 2.51328789e+03
 Inf
 2.51328045e+03
 2.51340509e+03
 2.51339798e+03
 2.51336015e+03
 2.51331982e+03
 2.51346987e+03
 2.51359754e+03
 2.51340152e+03
 2.51344601e+03
 2.51367522e+03
 2.51374612e+03
 2.51348420e+03
 2.51353629e+03
 2.51376125e+03
 2.51360779e+03
 2.51343307e+03
 2.51331897e+03
 2.51333011e+03
 2.51334406e+03
 2.51332825e+03
 2.51357314e+03
 2.51372718e+03
 2.51342602e+03
 2.51330615e+03
 2.51354450e+03
 2.51336487e+03
 Inf
 Inf
 2.51329757e+03
 2.51329161e+03
 Inf
 Inf
 2.51414569e+03
 2.51435163e+03
 2.51328077e+03
 2.51329462e+03
 2.51327441e+03
 Inf
 2.51332918e+03
 2.51356344e+03
 2.51352820e+03
 2.51339660e+03
 2.51347340e+03
 2.51339110e+03
 2.51328110e+03
 Inf
 Inf
 2.51341536e+03
 2.51360780e+03
 2.51356880e+03
 2.51339178e+03
 2.51335329e+03
 2.51334043e+03
 2.51343149e+03
 2.51352821e+03
 2.51356881e+03
 2.51369562e+03
 2.51352026e+03
 2.51341018e+03
 2.51358633e+03
 2.51374885e+03
 2.51349998e+03
 2.51332110e+03
 2.51341536e+03
 2.51353630e+03
 2.51351048e+03
 2.51330687e+03
 Inf
 Inf
 Inf
 2.51328481e+03
 Inf
 3.11320286e+242
 1.24651567e+247
 Inf
 4.29985925e+246
 6.95156143e+230
 Inf
 Inf
 Inf
 2.81379225e+302
 Inf
 Inf
 Inf
 Inf
 2.51330202e+03
 2.51330832e+03
 Inf
 Inf
 Inf
 2.51327869e+03
 Inf
 Inf
 Inf
 2.51327925e+03
 2.51327507e+03
 Inf
 2.51328789e+03
 2.51332596e+03
 2.51327570e+03
 2.51327414e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328401e+03
 2.51332153e+03
 Inf
 Inf
 Inf
 1.05379212e+261
 2.33669365e+253
 Inf
 1.86443092e+274
 5.65845692e+195
 4.61353626e+263
 1.58140655e+277
 5.91637381e+186
 9.75607791e+171
 Inf
 2.51350664e+03
 2.51332964e+03
 Inf
 Inf
 2.51330651e+03
 2.51364557e+03
 2.51374204e+03
 2.51366645e+03
 2.51362761e+03
 2.51374610e+03
 2.51364921e+03
 2.51355705e+03
 2.51352922e+03
 2.51367522e+03
 2.51347252e+03
 2.51349902e+03
 2.51336668e+03
 2.51328908e+03
 2.51349998e+03
 2.51346462e+03
 2.51342524e+03
 2.51359641e+03
 2.51361940e+03
 2.51352322e+03
 2.51345605e+03
 2.51372851e+03
 2.51373138e+03
 2.51344273e+03
 2.51347162e+03
 2.51348511e+03
 2.51365901e+03
 2.51333790e+03
 2.51332687e+03
 2.51381104e+03
 2.51375705e+03
 2.51343387e+03
 2.51327968e+03
 Inf
 2.51332328e+03
 2.51329268e+03
 Inf
 2.51329083e+03
 2.51338639e+03
 2.51328742e+03
 2.51328441e+03
 2.51345860e+03
 2.51367020e+03
 2.51380234e+03
 2.51416248e+03
 2.51405180e+03
 2.51347787e+03
 2.51352222e+03
 2.51419653e+03
 2.51409802e+03
 2.51375710e+03
 2.51370734e+03
 2.51368792e+03
 2.51390044e+03
 2.51358855e+03
 2.51347697e+03
 2.51392266e+03
 2.51405538e+03
 2.51409271e+03
 2.51395017e+03
 2.51366770e+03
 2.51352026e+03
 2.51331689e+03
 2.51331288e+03
 2.51330544e+03
 2.51334459e+03
 2.51344684e+03
 2.51335668e+03
 2.51339521e+03
 2.51339593e+03
 2.51327612e+03
 Inf
 2.51327570e+03
 Inf
 Inf
 2.51332733e+03
 2.51330337e+03
 Inf
 Inf
 Inf
 Inf
 2.64797858e+281
 Inf
 Inf
 Inf
 7.87731889e+251
 4.56498602e+168
 Inf
 Inf
 Inf
 Inf
 1.41098711e+269
 Inf
 Inf
 Inf
 Inf
 1.11514015e+248
 2.86952392e+195
 7.44069290e+165
 1.69834464e+153
 4.43222451e+199
 6.44082395e+226
 Inf
 2.51327843e+03
 2.51533523e+03
 2.52106825e+03
 2.52149997e+03
 2.52299519e+03
 2.52554959e+03
 2.52511147e+03
 2.52114592e+03
 2.51704055e+03
 2.51519225e+03
 2.51436602e+03
 2.51383163e+03
 2.51350473e+03
 2.51334302e+03
 2.51328789e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328126e+03
 2.51327501e+03
 Inf
 3.76924465e+304
 Inf
 Inf
 2.51334618e+03
 2.51347877e+03
 2.51347249e+03
 2.51340152e+03
 2.51335668e+03
 2.51350282e+03
 2.51342602e+03
 2.51334354e+03
 2.51335217e+03
 2.51329975e+03
 2.51329519e+03
 2.51331772e+03
 2.51327422e+03
 Inf
 2.51327495e+03
 2.51342992e+03
 2.51349716e+03
 2.51343070e+03
 2.51332110e+03
 2.51328652e+03
 2.51336073e+03
 2.51327587e+03
 1.63717902e+308
 Inf
 2.51357097e+03
 2.51337345e+03
 2.51331094e+03
 2.51334942e+03
 2.51337158e+03
 2.51340872e+03
 2.51328630e+03
 2.51328143e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328461e+03
 2.51327514e+03
 2.51327830e+03
 Inf
 Inf
 2.51335554e+03
 2.51346463e+03
 2.51341239e+03
 2.51329462e+03
 2.51328401e+03
 2.51327484e+03
 2.51329434e+03
 2.51336790e+03
 2.51330136e+03
 2.51327448e+03
 Inf
 2.51327650e+03
 2.51331566e+03
 2.51337661e+03
 2.51345267e+03
 2.51332596e+03
 2.51328587e+03
 2.51332417e+03
 2.51332067e+03
 2.51342370e+03
 2.51335217e+03
 Inf
 2.51329378e+03
 2.51344601e+03
 2.51342679e+03
 2.51345351e+03
 2.51340294e+03
 2.51327792e+03
 Inf
 2.51328178e+03
 2.51361010e+03
 2.51337096e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 1.05137657e+276
 Inf
 Inf
 Inf
 2.51328884e+03
 2.51345689e+03
 2.51334725e+03
 2.51327869e+03
 2.51332918e+03
 2.51352323e+03
 2.51328502e+03
 Inf
 2.51328957e+03
 2.51333891e+03
 2.51331607e+03
 2.51336912e+03
 2.51335162e+03
 2.51333740e+03
 2.51339521e+03
 2.51332372e+03
 2.51454975e+03
 2.51478441e+03
 2.51340223e+03
 2.51369175e+03
 2.51365530e+03
 2.51331249e+03
 Inf
 2.51329057e+03
 2.51356881e+03
 2.51352620e+03
 2.51327456e+03
 2.51327756e+03
 2.51327998e+03
 Inf
 2.51331526e+03
 2.51330943e+03
 2.51327701e+03
 2.51327474e+03
 Inf
 2.51331446e+03
 2.51335441e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51333297e+03
 2.51328441e+03
 Inf
 Inf
 Inf
 5.69486279e+195
 Inf
 2.51330943e+03
 2.51334198e+03
 2.51329462e+03
 2.51329757e+03
 2.51335107e+03
 2.51330405e+03
 Inf
 Inf
 Inf
 2.51327701e+03
 2.51328675e+03
 2.51327527e+03
 Inf
 Inf
 Inf
 2.51331897e+03
 2.51333249e+03
 2.51337221e+03
 2.51330202e+03
 Inf
 2.51329187e+03
 2.51340011e+03
 2.51337283e+03
 2.51333740e+03
 2.51016856e+03
 2.51333011e+03
 2.51375158e+03
 2.51396334e+03
 2.51331526e+03
 Inf
 Inf
 Inf
 Inf
 4.18282820e+229
 Inf
 2.51332965e+03
 2.51335052e+03
 Inf
 Inf
 2.51331210e+03
 2.51339383e+03
 2.51346463e+03
 2.51372317e+03
 2.51381836e+03
 2.51350473e+03
 2.51341536e+03
 2.51345774e+03
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 2.51339590e+03
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 2.51481369e+03
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 2.51331730e+03
 2.51339042e+03
 2.51343546e+03
 2.51387706e+03
 2.51369175e+03
 2.51339315e+03
 2.51335218e+03
 2.51329109e+03
 2.51330687e+03
 2.51350856e+03
 2.51347965e+03
 2.51353936e+03
 2.51381395e+03
 2.51409810e+03
 2.51407823e+03
 2.51368791e+03
 2.51353426e+03
 2.51346987e+03
 2.51334094e+03
 2.51328884e+03
 2.51336015e+03
 2.51357097e+03
 2.51354863e+03
 2.51345016e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329666e+03
 Inf
 Inf
 2.51330440e+03
 2.51352922e+03
 2.51367649e+03
 2.51342064e+03
 2.51335498e+03
 2.51333690e+03
 2.51337471e+03
 2.51356343e+03
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 2.51331133e+03
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 2.51362290e+03
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 2.51328884e+03
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 2.51367775e+03
 2.51338374e+03
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 2.51341536e+03
 2.51347787e+03
 2.51356451e+03
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 2.51332642e+03
 2.51358856e+03
 2.51364801e+03
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 2.51352922e+03
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 2.51347518e+03
 2.51361589e+03
 2.51362063e+03
 2.51348057e+03
 2.51340945e+03
 2.51349903e+03
 2.51365043e+03
 2.51331018e+03
 Inf
 2.51330169e+03
 2.51341837e+03
 2.51327484e+03
 2.51335611e+03
 2.51339315e+03
 2.51336428e+03
 2.51346203e+03
 2.51357097e+03
 2.51379513e+03
 2.51386479e+03
 2.51386160e+03
 2.51363116e+03
 2.51357315e+03
 2.51392748e+03
 2.51417944e+03
 2.51438270e+03
 2.51424880e+03
 2.51393393e+03
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 2.51368282e+03
 2.51431062e+03
 2.51477937e+03
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 2.51374201e+03
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 2.51412172e+03
 2.51441221e+03
 2.51444009e+03
 2.51403960e+03
 2.51437431e+03
 2.51457460e+03
 2.51385867e+03
 2.51354450e+03
 2.51390359e+03
 2.51434533e+03
 2.51378513e+03
 2.51352422e+03
 2.51375021e+03
 2.51377950e+03
 2.51360094e+03
 2.51412906e+03
 2.51424300e+03
 2.51375986e+03
 2.50494447e+03
 2.51350952e+03
 2.51330071e+03
 Inf
 2.51327911e+03
 2.51348420e+03
 2.51362762e+03
 2.51335554e+03
 2.51333297e+03
 2.51336073e+03
 2.51336368e+03
 2.51342913e+03
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 2.51374066e+03
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 2.51368791e+03
 2.51394854e+03
 2.51378940e+03
 2.51378382e+03
 2.51350856e+03
 2.51359190e+03
 2.51370341e+03
 2.51342602e+03
 2.51344190e+03
 2.51353629e+03
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 2.51359864e+03
 2.51356773e+03
 2.51391628e+03
 2.51383458e+03
 2.51380814e+03
 2.51379946e+03
 2.51359079e+03
 2.51354970e+03
 2.51363593e+03
 2.51369434e+03
 2.51379370e+03
 2.51401373e+03
 2.51374337e+03
 2.51351829e+03
 2.51357750e+03
 2.51362407e+03
 2.51355599e+03
 2.51364435e+03
 2.51348694e+03
 2.51328982e+03
 2.51353936e+03
 2.51426855e+03
 2.51411618e+03
 2.51379513e+03
 2.51340366e+03
 2.51330544e+03
 2.51333249e+03
 2.51328742e+03
 2.51327420e+03
 Inf
 2.51328160e+03
 2.51329109e+03
 Inf
 2.51329911e+03
 2.51352522e+03
 2.51339110e+03
 2.51346987e+03
 2.51400351e+03
 2.51364677e+03
 2.51331171e+03
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 2.51386937e+03
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 2.51354141e+03
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 2.51362525e+03
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 2.51346987e+03
 2.51370080e+03
 2.51398328e+03
 2.51370080e+03
 2.51366150e+03
 2.51363355e+03
 2.51348511e+03
 2.51358190e+03
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 2.51332779e+03
 2.51349062e+03
 2.51350570e+03
 2.51356237e+03
 2.51382423e+03
 2.51335273e+03
 2.51343867e+03
 2.51423123e+03
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 2.51522261e+03
 2.51577007e+03
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 2.51359981e+03
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