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 8.92443622e+86
 4.23990281e+90
 4.25422505e+91
 6.98002527e+99
 3.71365295e+94
 4.30618146e+93
 5.33355775e+98
 2.18383923e+88
 1.12502386e+86
 4.80869494e+84
 6.03653851e+80
 3.36144968e+89
 1.66178863e+88
 4.80142001e+67
 6.67649041e+85
 8.23147555e+166
 3.41949598e+148
 1.70093645e+225
 1.21384388e+166
 1.42361571e+100
 1.40810679e+52
 3.90586892e+42
 7.60267856e+74
 5.10622798e+129
 7.22807105e+154
 1.14127752e+181
 1.34794501e+173
 7.45223880e+148
 6.07684310e+155
 2.17718187e+138
 4.15067800e+123
 7.21358867e+154
 1.70061667e+186
 5.85213302e+186
 4.08685149e+208
 2.28823327e+212
 1.00025171e+194
 7.40809215e+183
 4.46461297e+199
 7.08403536e+192
 2.17320660e+178
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.55867170e+236
 7.01737390e+274
 2.51330759e+03
 2.51340081e+03
 2.51351927e+03
 2.51363594e+03
 2.51369951e+03
 2.51341091e+03
 2.51337598e+03
 2.51344849e+03
 2.51337221e+03
 2.51335957e+03
 2.51336309e+03
 2.51341239e+03
 2.51352422e+03
 2.51342524e+03
 2.51338112e+03
 2.51349341e+03
 2.51360094e+03
 2.51345267e+03
 2.51341686e+03
 2.51342064e+03
 2.51345604e+03
 2.51355179e+03
 2.51336547e+03
 2.51334834e+03
 6.85137614e+214
 1.03979825e+214
 2.51331056e+03
 Inf
 6.47880953e+280
 4.64610573e+231
 1.50653572e+185
 9.12589351e+52
 2.42156200e+40
 3.85268247e+51
 1.29880887e+91
 2.51327659e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.41325420e+222
 5.32929100e+145
 2.30473519e+162
 3.42159073e+291
 Inf
 Inf
 Inf
 Inf
 Inf
 7.66884631e+256
 Inf
 Inf
 7.31001214e+254
 6.76908863e+265
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327414e+03
 2.51331730e+03
 2.51329109e+03
 2.51333346e+03
 2.51332372e+03
 2.51330136e+03
 2.51338374e+03
 2.51342757e+03
 2.51345435e+03
 2.51379800e+03
 2.51440373e+03
 2.51493442e+03
 2.51581098e+03
 2.51665359e+03
 2.51742017e+03
 2.51746642e+03
 2.51822058e+03
 2.51853077e+03
 2.51804953e+03
 2.52008000e+03
 2.52218838e+03
 2.52310164e+03
 2.52390229e+03
 2.52506680e+03
 2.52650823e+03
 2.52626686e+03
 2.52911292e+03
 2.53017702e+03
 2.52874274e+03
 2.52993764e+03
 2.52980149e+03
 2.53024818e+03
 2.53047192e+03
 2.53122067e+03
 2.53380063e+03
 2.53360829e+03
 2.53094357e+03
 2.52810151e+03
 2.52917455e+03
 2.52985063e+03
 2.52772798e+03
 2.52665384e+03
 2.52470085e+03
 2.52529830e+03
 2.52563391e+03
 2.52392769e+03
 2.52257846e+03
 2.52265782e+03
 2.52358022e+03
 2.52195785e+03
 2.52145082e+03
 2.52037903e+03
 2.51908223e+03
 2.51333890e+03
 2.78283710e+218
 Inf
 7.72602675e+252
 2.96903615e+122
 2.67125045e+112
 6.69444536e+230
 3.78212495e+119
 9.04407757e+84
 5.57448308e+117
 Inf
 2.51352323e+03
 2.51538118e+03
 2.51663543e+03
 2.51781798e+03
 2.51765325e+03
 2.51722407e+03
 2.51831829e+03
 2.51753405e+03
 2.51727982e+03
 2.51714164e+03
 2.51562448e+03
 2.51616775e+03
 2.51749330e+03
 2.51358744e+03
 2.51330405e+03
 2.51456777e+03
 2.51511061e+03
 2.51332024e+03
 Inf
 2.51396497e+03
 2.51482114e+03
 2.51610069e+03
 2.51640279e+03
 2.51541011e+03
 2.51528721e+03
 2.51494465e+03
 2.51414941e+03
 2.51505962e+03
 2.51670493e+03
 2.51626657e+03
 2.51497045e+03
 2.51409449e+03
 2.51423117e+03
 2.51534094e+03
 2.51536133e+03
 2.51554589e+03
 2.51555850e+03
 2.51366895e+03
 Inf
 1.52502456e+215
 4.39362288e+80
 1.69639938e+68
 3.28920505e+95
 6.01359934e+96
 9.92287121e+120
 4.29421213e+170
 4.39642620e+94
 3.09234869e+118
 6.36506931e+179
 6.15708988e+121
 2.78095885e+80
 1.60591166e+63
 1.01461072e+61
 5.95330391e+43
 1.36181878e+33
 7.07770108e+31
 1.93099268e+32
 2.58896394e+30
 1.09177639e+31
 1.00877873e+34
 2.51283177e+40
 7.47322257e+55
 3.19823373e+49
 1.43206585e+50
 1.61994210e+50
 1.19285745e+108
 2.51498344e+03
 2.51622606e+03
 2.51576981e+03
 2.51522542e+03
 2.51524110e+03
 2.51477202e+03
 2.51442283e+03
 2.51425473e+03
 2.51467155e+03
 2.51486849e+03
 2.51409088e+03
 2.51412522e+03
 2.51470704e+03
 8.44537161e+215
 2.52378445e+251
 2.51615101e+03
 2.51628374e+03
 2.51486843e+03
 2.51477716e+03
 2.51421380e+03
 2.51340654e+03
 2.51329109e+03
 2.51333346e+03
 Inf
 2.51352921e+03
 2.51597833e+03
 2.51545075e+03
 2.51558184e+03
 2.51535524e+03
 2.51510243e+03
 2.51549224e+03
 2.51556413e+03
 2.51469990e+03
 2.51566731e+03
 2.51663534e+03
 2.51620168e+03
 2.51650163e+03
 2.51616108e+03
 2.51587473e+03
 2.51626677e+03
 2.51599788e+03
 2.51565202e+03
 2.51504110e+03
 2.51492682e+03
 2.51595871e+03
 2.51490122e+03
 2.51382867e+03
 2.51402917e+03
 2.51402672e+03
 2.51376682e+03
 Inf
 1.53105898e+104
 Inf
 2.51461573e+03
 2.51439301e+03
 2.51363235e+03
 Inf
 2.51327465e+03
 Inf
 1.99248562e+96
 1.31800123e+122
 3.16514539e+248
 4.29630620e+79
 6.51287466e+77
 3.63392967e+107
 1.34275760e+91
 2.13925596e+121
 1.16923884e+139
 2.82781197e+128
 1.26595064e+151
 1.51573691e+115
 2.58271385e+78
 3.48611964e+66
 4.49207392e+51
 4.35279813e+67
 5.58592955e+277
 Inf
 6.10804290e+42
 4.52612924e+35
 4.92929158e+60
 1.99536230e+61
 8.90062218e+67
 8.14396776e+44
 1.70352869e+35
 1.73088529e+45
 Inf
 2.51597837e+03
 2.51606321e+03
 2.51512398e+03
 2.51546265e+03
 2.51610736e+03
 2.49481122e+03
 2.51633253e+03
 2.51628034e+03
 2.51645189e+03
 2.51491140e+03
 2.51511030e+03
 2.51594897e+03
 2.51525044e+03
 2.51421766e+03
 2.51393556e+03
 2.51405708e+03
 2.51387705e+03
 2.51429047e+03
 2.51402229e+03
 2.51349715e+03
 2.51370731e+03
 3.52320923e+248
 6.84423532e+128
 2.51371918e+03
 2.51453191e+03
 2.51339940e+03
 2.51346810e+03
 2.51354244e+03
 Inf
 2.51327533e+03
 2.51406946e+03
 2.51633955e+03
 2.51564876e+03
 2.51382718e+03
 2.51345775e+03
 2.51446583e+03
 2.51519228e+03
 2.51491134e+03
 2.51481868e+03
 2.51527289e+03
 2.51527648e+03
 2.51517572e+03
 2.51623936e+03
 2.51599771e+03
 2.51481122e+03
 2.49929941e+03
 2.51591007e+03
 2.51563345e+03
 2.51374202e+03
 2.50505082e+03
 2.51503317e+03
 2.51571383e+03
 2.51389887e+03
 Inf
 Inf
 Inf
 3.74372820e+41
 1.28918488e+42
 Inf
 2.51327856e+03
 2.51435978e+03
 2.51703287e+03
 2.51740481e+03
 2.51811070e+03
 2.51365655e+03
 8.08624132e+145
 2.25711578e+122
 2.51343626e+03
 2.51766663e+03
 2.51795704e+03
 2.51780070e+03
 2.51797592e+03
 2.51807157e+03
 2.51803195e+03
 2.51821612e+03
 2.51844879e+03
 2.51794154e+03
 2.51762097e+03
 2.51823378e+03
 2.51813177e+03
 2.51567659e+03
 2.51630457e+03
 2.51927055e+03
 2.51885783e+03
 2.51852146e+03
 2.51851049e+03
 2.51882153e+03
 2.51849842e+03
 2.51888718e+03
 2.51982832e+03
 2.51968024e+03
 2.51786885e+03
 2.51449423e+03
 2.51542166e+03
 2.51981813e+03
 2.52172033e+03
 2.52264565e+03
 2.52017889e+03
 2.51993735e+03
 2.52097385e+03
 2.52002289e+03
 2.51942758e+03
 2.52067873e+03
 2.52083315e+03
 2.52102383e+03
 2.52005410e+03
 2.51929995e+03
 2.51985346e+03
 2.52058195e+03
 2.52085365e+03
 2.52088784e+03
 2.52168481e+03
 2.52199398e+03
 2.52297041e+03
 2.52112904e+03
 2.51988972e+03
 2.52212860e+03
 2.52299606e+03
 2.52186430e+03
 2.52083682e+03
 2.52147807e+03
 2.52298904e+03
 2.52217560e+03
 2.52049077e+03
 2.51955652e+03
 2.51988895e+03
 2.52114597e+03
 2.52026252e+03
 2.51959639e+03
 2.51970557e+03
 2.51943219e+03
 2.52039479e+03
 2.52050342e+03
 2.52007481e+03
 2.52000360e+03
 2.52086941e+03
 2.52091947e+03
 2.52085833e+03
 2.52092974e+03
 2.52031546e+03
 2.52008055e+03
 2.52157555e+03
 2.52276138e+03
 2.52104563e+03
 2.51965650e+03
 2.51827389e+03
 2.51910584e+03
 2.52071690e+03
 2.52044664e+03
 2.51878416e+03
 2.51906209e+03
 2.52100155e+03
 2.51854400e+03
 2.51802404e+03
 2.51958611e+03
 2.51833158e+03
 2.51790331e+03
 2.51839893e+03
 2.51765398e+03
 2.51592949e+03
 2.51700956e+03
 2.51983342e+03
 2.51995467e+03
 2.52009578e+03
 2.51897715e+03
 2.51915325e+03
 2.52050674e+03
 2.52053305e+03
 2.52077659e+03
 2.52072651e+03
 2.52095180e+03
 2.51879346e+03
 2.51575115e+03
 2.51355074e+03
 2.51471415e+03
 2.52096850e+03
 2.48640778e+03
 2.52082592e+03
 2.52146707e+03
 2.52085275e+03
 2.52062001e+03
 2.52120168e+03
 2.52271824e+03
 2.52218123e+03
 2.51545393e+03
 2.49676043e+03
 2.52134237e+03
 2.51955052e+03
 2.51910187e+03
 2.52090228e+03
 2.52123690e+03
 2.52105090e+03
 2.52180046e+03
 2.52246358e+03
 2.52213999e+03
 2.52108472e+03
 2.51986918e+03
 2.51600453e+03
 2.51637390e+03
 2.52125789e+03
 2.52145252e+03
 2.52177169e+03
 2.52160946e+03
 2.52087496e+03
 2.52031574e+03
 2.52105670e+03
 2.52193485e+03
 2.52181008e+03
 2.52208727e+03
 2.52045330e+03
 2.51980324e+03
 2.52156976e+03
 2.52223052e+03
 2.52260295e+03
 2.48400759e+03
 2.52316319e+03
 2.52363816e+03
 2.52322541e+03
 2.52196396e+03
 2.52144495e+03
 2.52001285e+03
 2.52044200e+03
 2.52274875e+03
 2.52022588e+03
 2.51978854e+03
 2.52170204e+03
 2.52410408e+03
 2.52303152e+03
 2.52121312e+03
 2.52318163e+03
 2.52283870e+03
 2.52150135e+03
 2.52076061e+03
 2.52159255e+03
 2.52257837e+03
 2.52104565e+03
 2.52163805e+03
 2.52284089e+03
 2.52221716e+03
 2.52522393e+03
 2.52590255e+03
 2.52317562e+03
 2.52057659e+03
 2.52125697e+03
 2.52333287e+03
 2.52207510e+03
 2.52187200e+03
 2.52270581e+03
 2.52578040e+03
 2.52651750e+03
 2.52233103e+03
 2.52024740e+03
 2.52187582e+03
 2.52328281e+03
 2.52374162e+03
 2.52248722e+03
 2.52122442e+03
 2.52151157e+03
 2.52176026e+03
 2.52128585e+03
 2.52178285e+03
 2.52366985e+03
 2.52397585e+03
 2.52330107e+03
 2.52214669e+03
 2.52098516e+03
 2.52240879e+03
 2.52332073e+03
 2.52386364e+03
 2.52212868e+03
 2.52134289e+03
 2.51760427e+03
 2.51689560e+03
 2.52276700e+03
 2.52471585e+03
 2.52262637e+03
 2.52185356e+03
 2.52326958e+03
 2.48332980e+03
 2.52411679e+03
 2.52341443e+03
 2.52259655e+03
 2.52320654e+03
 2.52330360e+03
 2.52337738e+03
 2.52349125e+03
 2.52359974e+03
 2.52389548e+03
 2.52246315e+03
 2.52111270e+03
 2.52225906e+03
 2.52368931e+03
 2.52283400e+03
 2.52064649e+03
 2.52185820e+03
 2.52496447e+03
 2.52216397e+03
 2.48523132e+03
 2.52409064e+03
 2.52441608e+03
 2.52422114e+03
 2.52315075e+03
 2.52289750e+03
 2.52231327e+03
 2.52442660e+03
 2.52409448e+03
 2.52170214e+03
 2.52084264e+03
 2.52163269e+03
 2.52202907e+03
 2.52108455e+03
 2.52110898e+03
 2.52150130e+03
 2.52153854e+03
 2.52242709e+03
 2.52252071e+03
 2.52162146e+03
 2.52322562e+03
 2.52275366e+03
 2.52147288e+03
 2.52285271e+03
 2.52222896e+03
 2.52230475e+03
 2.52292705e+03
 2.52235470e+03
 2.52179500e+03
 2.52051750e+03
 2.52063327e+03
 2.52302612e+03
 2.52391595e+03
 2.52344587e+03
 2.51475988e+03
 2.51431073e+03
 2.51774185e+03
 2.51784833e+03
 2.52179473e+03
 2.52211518e+03
 2.52192824e+03
 2.52344018e+03
 2.52359677e+03
 2.52184119e+03
 2.52048025e+03
 2.51894409e+03
 2.51415127e+03
 4.03505607e+247
 2.51327690e+03
 4.12263044e+103
 4.50591207e+71
 Inf
 2.51370081e+03
 2.51402751e+03
 1.28556124e+127
 Inf
 2.51603420e+03
 2.51461795e+03
 2.51400862e+03
 2.51341462e+03
 2.51349808e+03
 2.51426458e+03
 2.51384056e+03
 2.51342679e+03
 2.51415312e+03
 2.51428856e+03
 Inf
 2.51372583e+03
 Inf
 2.29705265e+64
 1.28818682e+85
 2.51478422e+03
 2.52599277e+03
 2.51946646e+03
 2.51756322e+03
 2.52342108e+03
 2.51881198e+03
 2.51428447e+03
 2.51515374e+03
 2.51579521e+03
 2.51640255e+03
 2.51855785e+03
 2.51981845e+03
 2.52243327e+03
 2.52378631e+03
 2.52146126e+03
 2.52382380e+03
 2.52676266e+03
 2.52770760e+03
 2.52652181e+03
 2.52330135e+03
 2.52217099e+03
 2.52650038e+03
 2.52387524e+03
 2.51797606e+03
 2.51704859e+03
 2.51618828e+03
 2.51961613e+03
 Inf
 9.72581158e+114
 2.51500427e+03
 2.51327469e+03
 Inf
 2.51449203e+03
 2.51373929e+03
 2.51327856e+03
 2.51382128e+03
 2.51458141e+03
 2.51607400e+03
 1.33628175e+224
 5.74795801e+88
 2.51441855e+03
 2.51602781e+03
 2.51460420e+03
 2.51480616e+03
 2.51362407e+03
 2.51376959e+03
 2.51632211e+03
 2.51330981e+03
 3.94690434e+241
 2.51328630e+03
 2.51727164e+03
 2.52464086e+03
 2.52185779e+03
 2.51748922e+03
 2.51807498e+03
 2.51643772e+03
 2.51427649e+03
 2.51441628e+03
 2.51473335e+03
 2.51670489e+03
 2.51642309e+03
 2.51834515e+03
 2.51963154e+03
 2.52214670e+03
 2.52385068e+03
 2.52120723e+03
 2.51967165e+03
 2.51474056e+03
 2.51515634e+03
 2.51789875e+03
 Inf
 4.67924889e+57
 8.11271229e+99
 2.51623596e+03
 2.52944018e+03
 2.52625278e+03
 2.52311977e+03
 2.51822505e+03
 2.51986343e+03
 2.52469410e+03
 2.48210844e+03
 2.52198735e+03
 2.51955141e+03
 Inf
 2.51329607e+03
 2.51412355e+03
 3.00619427e+95
 2.10949981e+81
 4.78424325e+50
 1.31659052e+112
 2.58189879e+193
 4.17271919e+209
 2.51460422e+03
 2.51650549e+03
 2.51953648e+03
 2.51939708e+03
 2.52083109e+03
 2.51997122e+03
 2.51731948e+03
 2.52063004e+03
 2.51444637e+03
 2.51385870e+03
 2.52394070e+03
 2.52586947e+03
 2.52580247e+03
 2.52672561e+03
 2.52637646e+03
 2.51751370e+03
 2.51349903e+03
 2.51338773e+03
 2.51395345e+03
 2.51396698e+03
 2.51659527e+03
 2.51700659e+03
 2.51588429e+03
 2.51688763e+03
 2.51508095e+03
 2.51364194e+03
 2.51334043e+03
 2.51372050e+03
 2.51795882e+03
 2.52323266e+03
 2.51885888e+03
 2.52102319e+03
 2.51885892e+03
 2.51618826e+03
 2.51444424e+03
 2.51337221e+03
 2.51389415e+03
 2.51423514e+03
 2.51449205e+03
 2.51418320e+03
 2.51353325e+03
 2.51588429e+03
 2.52372780e+03
 2.52710957e+03
 2.52738986e+03
 2.52697436e+03
 2.52741935e+03
 2.52709197e+03
 2.52647913e+03
 2.52636629e+03
 2.52394077e+03
 2.52424508e+03
 2.52557030e+03
 2.52484141e+03
 2.52667443e+03
 2.52731718e+03
 2.52602022e+03
 2.52497159e+03
 2.52659435e+03
 2.52383688e+03
 2.51930960e+03
 2.52058645e+03
 2.52112423e+03
 2.52149597e+03
 2.51390675e+03
 3.87069783e+91
 8.56322413e+61
 6.46789734e+64
 1.89496896e+66
 2.42909968e+302
 2.51700590e+03
 2.51542448e+03
 2.51479895e+03
 2.51478243e+03
 2.51455650e+03
 2.51426063e+03
 2.51378655e+03
 2.51343307e+03
 2.51399841e+03
 2.51558202e+03
 2.51383162e+03
 2.51331982e+03
 2.51356557e+03
 2.51393716e+03
 2.51400525e+03
 2.51382423e+03
 2.51433710e+03
 2.51467865e+03
 2.51448980e+03
 2.51416623e+03
 2.51402576e+03
 2.51436391e+03
 2.51373120e+03
 2.51329577e+03
 2.51329818e+03
 2.51337661e+03
 2.51338773e+03
 2.51362290e+03
 2.51428048e+03
 2.51387859e+03
 2.51352422e+03
 2.51379226e+03
 2.51344029e+03
 Inf
 2.51342679e+03
 2.51445286e+03
 2.51409806e+03
 2.51367271e+03
 2.51393069e+03
 2.51385108e+03
 2.51373389e+03
 2.50538134e+03
 2.51374610e+03
 2.51405886e+03
 2.51418134e+03
 2.51412353e+03
 2.51458366e+03
 2.51464133e+03
 2.51411441e+03
 2.51442706e+03
 2.51459510e+03
 2.51468809e+03
 2.51502264e+03
 2.51494197e+03
 2.51421573e+03
 2.51439945e+03
 2.51420801e+03
 2.51401887e+03
 2.51417374e+03
 2.51420232e+03
 2.51466686e+03
 2.51366272e+03
 2.51342140e+03
 2.51364073e+03
 2.50627983e+03
 2.51350760e+03
 2.51362997e+03
 Inf
 Inf
 2.51330440e+03
 2.51334354e+03
 2.51331406e+03
 Inf
 Inf
 1.99550189e+166
 2.46535163e+203
 Inf
 Inf
 2.51332779e+03
 2.51348420e+03
 2.51378798e+03
 2.51365777e+03
 2.51328045e+03
 2.51332416e+03
 2.51354761e+03
 Inf
 2.56994904e+251
 3.69753435e+179
 7.16724977e+254
 2.51363354e+03
 2.51377386e+03
 2.51375431e+03
 2.51339521e+03
 8.51459690e+92
 6.76370968e+83
 2.54455091e+230
 Inf
 2.51369821e+03
 2.51371540e+03
 2.51374884e+03
 4.56948004e+225
 1.21389069e+166
 2.51350282e+03
 2.51363835e+03
 2.51354761e+03
 2.51348057e+03
 2.51343948e+03
 2.51331018e+03
 2.51329787e+03
 2.51342602e+03
 2.51328502e+03
 Inf
 2.51329135e+03
 2.51330071e+03
 2.51330169e+03
 5.83683686e+195
 1.03660376e+60
 8.67283005e+49
 5.31948862e+61
 3.71471636e+24
 4.55221635e+25
 8.97618279e+35
 2.49982226e+25
 1.57019400e+31
 1.19503839e+27
 6.55395653e+23
 3.01966552e+43
 4.57486450e+113
 1.53898949e+138
 Inf
 Inf
 2.51327756e+03
 2.51338112e+03
 2.51354347e+03
 2.51374884e+03
 2.51356557e+03
 2.51335052e+03
 2.51345604e+03
 2.51332918e+03
 2.51328675e+03
 2.51333890e+03
 2.51335957e+03
 2.51364678e+03
 2.51386631e+03
 2.51405711e+03
 2.51374337e+03
 2.51400350e+03
 2.51413830e+03
 2.51365778e+03
 2.51380087e+03
 2.51374473e+03
 2.51367271e+03
 2.51351535e+03
 2.51345520e+03
 2.51349248e+03
 2.51336548e+03
 2.51344273e+03
 2.51374066e+03
 2.51358522e+03
 2.51340945e+03
 2.51364921e+03
 2.51388481e+03
 2.51380811e+03
 2.51394202e+03
 2.51397495e+03
 2.51385412e+03
 2.51397825e+03
 2.51384958e+03
 2.51376682e+03
 2.51372718e+03
 2.51353833e+03
 2.51337853e+03
 2.51341988e+03
 2.51354970e+03
 2.51346811e+03
 2.51376403e+03
 2.51343626e+03
 2.51327540e+03
 2.51341536e+03
 2.51343547e+03
 2.51364921e+03
 2.51387706e+03
 2.51361821e+03
 2.51352323e+03
 2.51351050e+03
 2.51347252e+03
 2.51346812e+03
 2.51331566e+03
 2.51328093e+03
 2.51328908e+03
 6.48069460e+277
 3.42061493e+219
 1.55759903e+280
 1.36022701e+184
 Inf
 Inf
 2.51327805e+03
 2.51327650e+03
 4.41923161e+151
 3.32792822e+45
 4.57094596e+48
 3.71542085e+209
 Inf
 9.83927284e+113
 5.14233799e+66
 8.38841800e+88
 2.13848760e+135
 1.69583560e+136
 2.13110525e+143
 2.52944461e+176
 6.08921257e+159
 1.17285143e+182
 Inf
 Inf
 Inf
 Inf
 2.56897966e+251
 Inf
 2.51337661e+03
 2.51331607e+03
 Inf
 Inf
 2.51328231e+03
 Inf
 Inf
 2.51328126e+03
 Inf
 Inf
 Inf
 Inf
 1.71300495e+245
 2.51327659e+03
 2.51368536e+03
 2.51429250e+03
 2.51396826e+03
 2.51340945e+03
 2.51331018e+03
 2.51329578e+03
 2.51344191e+03
 2.51350953e+03
 2.51340152e+03
 2.51331249e+03
 2.51335611e+03
 2.51355074e+03
 2.51345860e+03
 Inf
 7.41519696e+292
 2.51327805e+03
 2.51333249e+03
 2.51350664e+03
 2.51350744e+03
 2.51349341e+03
 2.51338439e+03
 2.51327469e+03
 2.51330103e+03
 2.51340152e+03
 2.51357860e+03
 2.51356984e+03
 2.51340081e+03
 2.51349248e+03
 2.51366895e+03
 2.51370212e+03
 2.51362055e+03
 2.51355600e+03
 2.51369821e+03
 2.51377665e+03
 2.51346724e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331730e+03
 2.51327429e+03
 Inf
 2.51343546e+03
 2.51329757e+03
 Inf
 2.51327680e+03
 2.51331897e+03
 2.51340294e+03
 2.51354761e+03
 2.51370210e+03
 2.51334618e+03
 2.51331171e+03
 Inf
 Inf
 Inf
 2.51327435e+03
 2.51327843e+03
 2.51327869e+03
 Inf
 Inf
 Inf
 Inf
 2.51330371e+03
 2.51329135e+03
 Inf
 2.51331689e+03
 2.51334942e+03
 2.51328267e+03
 2.51327416e+03
 2.51327501e+03
 2.51327460e+03
 2.51334250e+03
 2.51331771e+03
 2.51328195e+03
 Inf
 1.09963749e+242
 2.98436487e+132
 1.16695223e+97
 3.32094276e+156
 8.76842358e+249
 9.13251741e+199
 4.01425325e+216
 1.11737186e+158
 3.17359385e+201
 Inf
 Inf
 1.10784269e+238
 4.20089527e+209
 6.71753889e+178
 8.30719601e+92
 8.98076546e+84
 1.38001329e+98
 1.67817790e+117
 5.97052863e+114
 4.20477961e+125
 Inf
 Inf
 Inf
 4.04749469e+262
 Inf
 Inf
 6.96661916e+197
 3.06767899e+260
 7.88784943e+120
 8.20383228e+100
 Inf
 2.51360436e+03
 2.51337853e+03
 2.51329975e+03
 4.87751237e+105
 2.97862889e+111
 1.31549731e+184
 2.35205360e+134
 2.51327680e+03
 2.51329880e+03
 2.51330981e+03
 Inf
 Inf
 Inf
 2.51331939e+03
 Inf
 4.53006766e+143
 Inf
 2.51339246e+03
 2.90489967e+172
 8.69019094e+131
 Inf
 4.37296295e+196
 5.98882971e+51
 2.92685687e+36
 3.18906545e+70
 4.33090442e+117
 7.46503599e+88
 1.70530978e+122
 1.12917938e+180
 Inf
 2.51354244e+03
 2.51403962e+03
 2.51361010e+03
 2.51342064e+03
 2.51354347e+03
 2.51348602e+03
 2.51388791e+03
 2.51409811e+03
 2.51370994e+03
 2.51349809e+03
 2.51341988e+03
 2.51355705e+03
 2.51377382e+03
 2.51378102e+03
 2.51363833e+03
 2.51359529e+03
 2.51358080e+03
 2.51401715e+03
 2.51389727e+03
 2.51332733e+03
 Inf
 2.51339660e+03
 2.51347164e+03
 2.51338974e+03
 2.51358411e+03
 2.51385716e+03
 2.51372449e+03
 2.51358856e+03
 2.51418321e+03
 2.51382717e+03
 2.51332197e+03
 2.51336249e+03
 2.51347876e+03
 2.51370210e+03
 2.51358190e+03
 2.51342602e+03
 2.51362289e+03
 2.51364438e+03
 2.51370732e+03
 2.51360208e+03
 2.51332965e+03
 2.51330169e+03
 2.51328093e+03
 2.51333890e+03
 2.51375296e+03
 2.51373244e+03
 2.51361705e+03
 2.51332372e+03
 2.51327911e+03
 2.51339315e+03
 2.51333249e+03
 1.14168452e+136
 5.03242076e+87
 4.51790723e+204
 1.80245931e+206
 Inf
 Inf
 3.33649653e+248
 9.29195863e+216
 2.20494969e+135
 5.36746274e+198
 2.51329057e+03
 2.51333840e+03
 2.51338047e+03
 2.51343307e+03
 2.51336973e+03
 2.51331171e+03
 2.51327856e+03
 4.37110186e+206
 7.75059396e+113
 8.57532444e+131
 7.29116241e+194
 Inf
 Inf
 2.51377805e+03
 2.51370466e+03
 2.51329295e+03
 Inf
 Inf
 3.40812872e+174
 3.03538628e+189
 2.51328077e+03
 3.50222903e+293
 Inf
 Inf
 2.19991243e+127
 3.85206741e+262
 2.51362879e+03
 2.51363418e+03
 2.51336789e+03
 2.51337534e+03
 2.51361241e+03
 1.65699400e+148
 1.01729672e+65
 1.26048699e+198
 Inf
 2.61181556e+164
 Inf
 2.51355494e+03
 2.51328323e+03
 2.51329849e+03
 2.51355074e+03
 2.51373121e+03
 2.51384658e+03
 2.51372050e+03
 2.51386629e+03
 2.51367900e+03
 2.51345605e+03
 2.51371125e+03
 2.51389417e+03
 2.51365901e+03
 2.51353528e+03
 2.51342370e+03
 2.51343307e+03
 2.51336973e+03
 2.51328178e+03
 2.51327925e+03
 Inf
 2.51327856e+03
 7.53811652e+254
 2.47047243e+125
 Inf
 2.51339246e+03
 2.51329109e+03
 1.51066203e+162
 4.06422566e+136
 Inf
 Inf
 3.24357789e+284
 3.99826185e+95
 3.00842351e+54
 2.45401008e+41
 2.59484708e+39
 7.32357788e+48
 2.17576427e+76
 8.91195019e+106
 3.75046381e+127
 1.06927744e+190
 3.99593300e+276
 Inf
 1.75890373e+145
 1.00174220e+100
 1.88836375e+86
 2.50817964e+131
 6.12415304e+280
 9.06737043e+206
 6.13142458e+97
 1.79556153e+140
 2.51361705e+03
 1.13982257e+242
 1.88995340e+220
 2.51369047e+03
 2.51408554e+03
 2.51387859e+03
 2.51367271e+03
 2.51377945e+03
 2.51367774e+03
 2.51368147e+03
 2.51399673e+03
 2.51417944e+03
 2.51371918e+03
 2.51343948e+03
 2.51353122e+03
 2.51345860e+03
 2.51336132e+03
 2.51345099e+03
 2.51338506e+03
 2.51333541e+03
 2.51329548e+03
 2.51331982e+03
 2.51352721e+03
 2.51397493e+03
 2.51430862e+03
 2.51454978e+03
 2.51385867e+03
 2.51352821e+03
 2.51379369e+03
 2.51375706e+03
 2.51349809e+03
 2.51345267e+03
 2.51367774e+03
 2.51345435e+03
 2.51339178e+03
 2.51348238e+03
 Inf
 Inf
 2.51327968e+03
 2.51340872e+03
 2.51398327e+03
 2.51409275e+03
 2.51393554e+03
 2.51356023e+03
 2.51352923e+03
 2.51342913e+03
 2.51347340e+03
 2.51395509e+03
 2.51358300e+03
 2.51354142e+03
 2.51361938e+03
 2.51339042e+03
 2.51362055e+03
 2.51368920e+03
 2.51353022e+03
 2.51343228e+03
 2.51328608e+03
 2.51337598e+03
 2.51358522e+03
 2.51329607e+03
 2.51329135e+03
 2.51370471e+03
 2.51352721e+03
 2.51338506e+03
 2.51381981e+03
 2.51391791e+03
 2.51385714e+03
 2.51415313e+03
 2.51423516e+03
 2.51411623e+03
 2.51410359e+03
 2.51403786e+03
 2.51416622e+03
 2.51405182e+03
 2.51382866e+03
 2.51403438e+03
 2.51446584e+03
 2.51430452e+03
 2.51382423e+03
 2.51430051e+03
 2.51477692e+03
 2.51470689e+03
 2.51459279e+03
 2.51415313e+03
 2.51395346e+03
 2.51397820e+03
 2.51409449e+03
 2.51431062e+03
 2.51436190e+03
 2.51411441e+03
 2.51419650e+03
 2.51441007e+03
 2.51332918e+03
 4.66818239e+184
 2.51327460e+03
 Inf
 7.70769882e+168
 4.18592848e+206
 Inf
 2.51333740e+03
 2.51329295e+03
 2.51337283e+03
 2.51347697e+03
 2.51328982e+03
 2.51357641e+03
 2.51330269e+03
 Inf
 2.51328502e+03
 2.51338705e+03
 2.51329849e+03
 2.51337725e+03
 2.51381250e+03
 2.51371916e+03
 2.51397492e+03
 2.51352621e+03
 2.51340011e+03
 2.51331210e+03
 2.51336789e+03
 2.51372051e+03
 2.51334459e+03
 Inf
 2.51332687e+03
 2.51356451e+03
 Inf
 2.43733959e+252
 2.51327416e+03
 2.51355389e+03
 2.51447673e+03
 2.51419458e+03
 2.51395182e+03
 2.51404307e+03
 2.51408194e+03
 2.51434121e+03
 2.51425074e+03
 2.51352621e+03
 2.51334095e+03
 2.51334887e+03
 2.51331939e+03
 2.51329462e+03
 2.08419272e+236
 6.80661042e+197
 Inf
 2.51364921e+03
 2.51369955e+03
 2.51334459e+03
 2.51339799e+03
 2.51329187e+03
 2.51341912e+03
 Inf
 2.23378543e+196
 2.93809509e+238
 4.66446934e+139
 3.12740811e+186
 Inf
 2.51329849e+03
 Inf
 Inf
 Inf
 3.99643169e+190
 Inf
 2.51342524e+03
 Inf
 6.94659840e+270
 Inf
 2.51344029e+03
 2.51357971e+03
 2.51330169e+03
 2.51398326e+03
 2.51382125e+03
 2.51352422e+03
 2.51407657e+03
 2.51373119e+03
 2.51361589e+03
 2.51385715e+03
 2.51363833e+03
 2.51375571e+03
 2.51362172e+03
 Inf
 Inf
 2.51327452e+03
 2.51366770e+03
 2.51403962e+03
 2.51374201e+03
 2.51372858e+03
 2.51341387e+03
 Inf
 Inf
 2.51329214e+03
 Inf
 2.51331249e+03
 Inf
 4.56795821e+199
 2.51336789e+03
 2.51377524e+03
 Inf
 2.51327631e+03
 2.51391628e+03
 2.51360321e+03
 2.51334198e+03
 2.51371653e+03
 2.51385717e+03
 2.51378939e+03
 2.51410895e+03
 2.51421962e+03
 Inf
 1.55934527e+136
 4.11723418e+246
 2.51328884e+03
 Inf
 8.16885793e+172
 2.76677337e+259
 1.08704067e+165
 1.68750549e+88
 6.08763952e+64
 8.70435326e+73
 7.13611429e+168
 Inf
 Inf
 Inf
 Inf
 2.51330169e+03
 2.51334354e+03
 2.51327540e+03
 2.51333297e+03
 2.51360550e+03
 2.51370733e+03
 2.51341686e+03
 Inf
 3.44921583e+169
 Inf
 Inf
 Inf
 2.51327612e+03
 Inf
 Inf
 1.32751716e+188
 6.18270917e+163
 2.10256948e+300
 1.37655873e+154
 1.20723201e+81
 3.77996113e+98
 3.11651261e+166
 Inf
 2.51327438e+03
 2.51327701e+03
 2.51343706e+03
 2.51335441e+03
 Inf
 3.90070511e+182
 1.44820874e+195
 2.51327756e+03
 Inf
 2.51333154e+03
 2.51356451e+03
 2.51328523e+03
 2.51338638e+03
 3.96676334e+304
 7.43872539e+140
 Inf
 2.51348420e+03
 2.51360666e+03
 2.51353223e+03
 2.51327680e+03
 Inf
 2.51327604e+03
 Inf
 2.51342602e+03
 2.51358081e+03
 2.51335385e+03
 2.51351535e+03
 2.51341239e+03
 2.51341306e+03
 2.51334250e+03
 Inf
 2.51327495e+03
 2.51343307e+03
 2.51360551e+03
 2.51372584e+03
 2.51395509e+03
 2.51391465e+03
 2.51364073e+03
 2.51376263e+03
 2.51389260e+03
 2.51398999e+03
 2.51409269e+03
 2.51372450e+03
 2.51367021e+03
 2.51346724e+03
 2.51328836e+03
 2.51333840e+03
 2.51327415e+03
 Inf
 2.51329187e+03
 2.51336191e+03
 2.51329880e+03
 8.31707864e+257
 Inf
 2.51344519e+03
 2.51355706e+03
 2.51374338e+03
 2.51422928e+03
 2.51408906e+03
 2.51390517e+03
 2.51397657e+03
 2.51380958e+03
 2.51404308e+03
 2.51416437e+03
 2.51372183e+03
 2.51368411e+03
 2.51364315e+03
 2.51339591e+03
 2.51346811e+03
 2.51346030e+03
 2.51328908e+03
 2.51347697e+03
 2.51367648e+03
 2.51349997e+03
 2.51335385e+03
 2.51332506e+03
 2.51335217e+03
 2.51332284e+03
 2.51330759e+03
 1.78367953e+186
 1.01928541e+91
 4.00810656e+100
 2.86454225e+88
 2.70673307e+98
 9.68338627e+108
 4.11328889e+86
 4.61375421e+104
 1.25437443e+151
 1.22983975e+169
 1.07825806e+147
 4.77556670e+114
 3.71360308e+83
 1.54695415e+74
 9.63532931e+87
 1.39872221e+96
 5.28428115e+81
 1.25661096e+126
 2.27795197e+161
 3.19054602e+123
 2.58949940e+218
 Inf
 Inf
 6.26752093e+218
 Inf
 Inf
 Inf
 2.51332284e+03
 Inf
 Inf
 2.51327429e+03
 Inf
 Inf
 Inf
 Inf
 2.51334726e+03
 2.51341988e+03
 2.51341535e+03
 2.51352621e+03
 2.51337661e+03
 2.51328342e+03
 2.51327968e+03
 Inf
 Inf
 2.51328093e+03
 2.51352821e+03
 2.51364800e+03
 2.51339383e+03
 2.51340293e+03
 2.51379656e+03
 2.51407125e+03
 2.51416438e+03
 2.51389573e+03
 2.51370863e+03
 2.51386019e+03
 2.51403961e+03
 2.51402565e+03
 2.51388636e+03
 2.51408729e+03
 2.51393877e+03
 2.51377664e+03
 2.51408550e+03
 2.51405876e+03
 2.51358411e+03
 2.51337221e+03
 2.51335899e+03
 2.51334997e+03
 2.51329548e+03
 Inf
 Inf
 Inf
 7.04252247e+230
 9.74252248e+113
 1.29055670e+93
 3.81784308e+87
 2.55954006e+87
 1.09501382e+107
 6.36350360e+109
 4.81277696e+103
 8.32087142e+118
 1.72641600e+142
 7.94169392e+119
 6.09730057e+115
 4.04995691e+137
 7.37074321e+256
 Inf
 2.47047148e+243
 3.06646247e+189
 1.94055803e+194
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.83960041e+296
 Inf
 Inf
 Inf
 Inf
 1.11596437e+199
 2.33067209e+177
 8.67426401e+298
 Inf
 2.51327456e+03
 2.51327501e+03
 2.51338374e+03
 2.50927426e+03
 Inf
 Inf
 Inf
 2.51354141e+03
 2.51346202e+03
 2.51330651e+03
 2.51336073e+03
 2.51341988e+03
 2.51348238e+03
 2.51363593e+03
 2.51360321e+03
 2.51327514e+03
 Inf
 Inf
 Inf
 Inf
 2.51327474e+03
 2.51327650e+03
 Inf
 Inf
 Inf
 2.51327968e+03
 2.51329943e+03
 2.51327722e+03
 Inf
 Inf
 2.51327441e+03
 2.51331772e+03
 2.51341536e+03
 2.51340294e+03
 2.51364921e+03
 2.51372719e+03
 2.51350952e+03
 2.51350095e+03
 2.51337471e+03
 2.51338705e+03
 2.51342447e+03
 2.51345690e+03
 2.51335725e+03
 2.51330906e+03
 2.51339110e+03
 2.51348970e+03
 2.51362761e+03
 2.51357969e+03
 2.51337283e+03
 2.51345267e+03
 2.51339660e+03
 Inf
 Inf
 2.51327417e+03
 Inf
 Inf
 Inf
 2.51329057e+03
 2.51327417e+03
 2.51327444e+03
 2.51327417e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331526e+03
 2.51334888e+03
 2.51332024e+03
 2.51346376e+03
 2.51346643e+03
 2.51342064e+03
 2.51346987e+03
 2.51341988e+03
 2.51351437e+03
 2.51358411e+03
 2.51353325e+03
 2.51349715e+03
 2.51342217e+03
 2.51335162e+03
 2.51344683e+03
 2.51338506e+03
 2.51337535e+03
 2.51375710e+03
 2.51351146e+03
 2.51339110e+03
 2.51366025e+03
 2.51377806e+03
 2.51341091e+03
 2.51348511e+03
 2.51377523e+03
 2.51364556e+03
 2.51343626e+03
 2.51329975e+03
 2.51330169e+03
 2.51330981e+03
 2.51333059e+03
 2.51327555e+03
 2.51328342e+03
 2.51337035e+03
 2.51356773e+03
 2.51372317e+03
 2.51364073e+03
 2.51388170e+03
 2.51342293e+03
 2.51329666e+03
 2.51342064e+03
 2.51354244e+03
 2.51376125e+03
 2.51357423e+03
 2.51347518e+03
 2.51352921e+03
 2.51351242e+03
 2.51369304e+03
 2.51382276e+03
 2.51369950e+03
 2.51351731e+03
 2.51366025e+03
 2.51408551e+03
 2.51369304e+03
 2.51337598e+03
 2.51343386e+03
 2.51373254e+03
 2.51368279e+03
 2.51342293e+03
 2.51373524e+03
 2.50516961e+03
 2.51353325e+03
 2.51360321e+03
 2.51375572e+03
 2.51364193e+03
 2.51356451e+03
 2.51365901e+03
 2.51355074e+03
 2.51346724e+03
 2.51364556e+03
 2.51375022e+03
 2.51359079e+03
 2.51380233e+03
 2.50501066e+03
 2.51366645e+03
 2.51355917e+03
 2.51365778e+03
 2.51408909e+03
 2.51395999e+03
 2.51388948e+03
 2.51412355e+03
 2.51414579e+03
 2.51398998e+03
 2.51379657e+03
 2.51406238e+03
 2.51417567e+03
 2.51398326e+03
 2.51422539e+03
 2.51431268e+03
 2.51386477e+03
 2.51373660e+03
 2.51407301e+03
 2.51382866e+03
 2.51350568e+03
 2.51351728e+03
 2.51337408e+03
 2.51329322e+03
 2.51339452e+03
 2.51371389e+03
 2.51347163e+03
 Inf
 8.01228684e+290
 2.51151589e+159
 1.73490601e+165
 1.32418535e+241
 Inf
 Inf
 7.40558164e+253
 Inf
 Inf
 Inf
 2.51332461e+03
 2.51347252e+03
 2.51342293e+03
 2.51351829e+03
 2.51389573e+03
 2.51384203e+03
 2.51349621e+03
 2.51334618e+03
 2.51359528e+03
 2.51374611e+03
 2.51350472e+03
 2.51361588e+03
 2.51385261e+03
 2.51361356e+03
 2.51336015e+03
 2.51337661e+03
 2.51355284e+03
 2.51394040e+03
 2.51429651e+03
 2.51394853e+03
 2.51335611e+03
 2.51332067e+03
 2.51339660e+03
 2.51337789e+03
 2.51346031e+03
 2.51343149e+03
 2.51330169e+03
 2.51342217e+03
 2.51374611e+03
 2.51339521e+03
 2.51333840e+03
 2.51352124e+03
 2.51347429e+03
 2.51352521e+03
 2.51354970e+03
 2.51339940e+03
 2.51336548e+03
 2.51334888e+03
 2.51355284e+03
 2.51368792e+03
 2.51363832e+03
 2.51358411e+03
 2.51352721e+03
 2.51350568e+03
 2.51349998e+03
 2.51339521e+03
 2.51346117e+03
 2.51353022e+03
 2.51343706e+03
 2.51359191e+03
 2.51380958e+03
 2.51373388e+03
 2.51352821e+03
 2.51362524e+03
 2.51378941e+03
 2.51350473e+03
 2.51358190e+03
 2.51394528e+03
 2.51356343e+03
 2.51335611e+03
 2.51332067e+03
 2.51330832e+03
 2.51348694e+03
 2.51386783e+03
 2.51357750e+03
 2.51350569e+03
 2.51362879e+03
 2.51370211e+03
 2.51378229e+03
 2.51349528e+03
 2.51359303e+03
 2.51376822e+03
 2.51347697e+03
 2.51348876e+03
 2.51378655e+03
 2.51369175e+03
 2.51366896e+03
 2.51420994e+03
 2.51413267e+03
 2.51421379e+03
 2.51411441e+03
 2.51383015e+03
 2.51391149e+03
 2.51403613e+03
 2.51454079e+03
 2.51438473e+03
 2.51403787e+03
 2.51398163e+03
 2.51408729e+03
 2.51414200e+03
 2.51408729e+03
 2.51434737e+03
 2.51415125e+03
 2.51407659e+03
 2.51441218e+03
 2.51451413e+03
 2.51397326e+03
 2.51369434e+03
 2.51354866e+03
 2.51352722e+03
 2.51383609e+03
 2.51420611e+03
 2.51473576e+03
 2.51459956e+03
 2.51403439e+03
 2.51359079e+03
 2.51383311e+03
 2.51439739e+03
 2.51418508e+03
 2.51420408e+03
 2.51427251e+03
 2.51406769e+03
 2.51378371e+03
 2.51379214e+03
 2.51359416e+03
 2.51357098e+03
 2.51362761e+03
 2.51366646e+03
 2.51393716e+03
 2.51400694e+03
 2.51398325e+03
 2.51373120e+03
 2.51394039e+03
 2.51432485e+03
 2.51386936e+03
 2.51357970e+03
 2.51371520e+03
 2.51397659e+03
 2.51410353e+03
 2.51372050e+03
 2.51359981e+03
 2.51376961e+03
 2.51343387e+03
 2.51348510e+03
 2.51404134e+03
 2.51410724e+03
 2.51430456e+03
 2.51377523e+03
 2.51341837e+03
 Inf
 1.70709370e+86
 1.10834606e+71
 Inf
 2.51372317e+03
 Inf
 1.14048809e+155
 3.42340513e+171
 5.65547288e+213
 4.48720922e+199
 8.07475600e+238
 9.35372283e+185
 9.85615494e+108
 4.38134218e+87
 4.77369260e+100
 8.61165319e+57
 2.30058061e+40
 4.84870006e+40
 3.75961388e+59
 1.13479147e+91
 8.06181982e+77
 1.00979711e+96
 9.15287683e+162
 1.22037670e+127
 5.19514479e+112
 6.43075887e+270
 5.33244946e+108
 9.06435671e+63
 3.65680542e+64
 2.40505297e+113
 5.17347037e+126
 2.21597428e+61
 3.41892768e+61
 5.79973092e+163
 2.73891449e+144
 8.32471814e+75
 4.13359236e+138
 3.27088194e+174
 1.15082403e+80
 5.38331645e+80
 3.69484827e+262
 9.30633456e+216
 3.36332268e+103
 Inf
 2.51334672e+03
 2.51332196e+03
 2.51334942e+03
 2.51330269e+03
 2.51345099e+03
 2.51351535e+03
 2.51339246e+03
 2.51350377e+03
 2.51373524e+03
 2.51337534e+03
 2.51327954e+03
 2.51328932e+03
 2.51338572e+03
 2.51384507e+03
 2.51416813e+03
 2.51338374e+03
 2.51333059e+03
 2.51360895e+03
 2.51361374e+03
 2.51371521e+03
 2.51361938e+03
 2.51339940e+03
 1.24605984e+224
 1.83525922e+274
 Inf
 Inf
 Inf
 Inf
 Inf
 9.38043832e+117
 6.95974484e+94
 6.74804117e+65
 4.77644967e+101
 6.53337000e+34
 2.48405328e+30
 4.21075536e+37
 1.62161216e+36
 6.26941645e+107
 1.10511630e+153
 9.66176970e+113
 2.28837433e+148
 Inf
 Inf
 2.51351049e+03
 2.51428049e+03
 2.51420214e+03
 2.51393392e+03
 2.51383610e+03
 2.51379370e+03
 2.51384507e+03
 2.51445069e+03
 2.51443082e+03
 2.51418321e+03
 2.51504637e+03
 2.51590046e+03
 2.51578217e+03
 2.51481121e+03
 2.51489087e+03
 2.51531814e+03
 2.51455649e+03
 2.51422348e+03
 2.51335052e+03
 Inf
 Inf
 Inf
 2.51380089e+03
 2.51363234e+03
 2.51327520e+03
 Inf
 2.51395509e+03
 2.51493443e+03
 2.51445066e+03
 2.51534950e+03
 2.51415126e+03
 2.51338308e+03
 2.51370340e+03
 2.51584911e+03
 2.51530094e+03
 Inf
 Inf
 2.51336487e+03
 2.51372184e+03
 2.51374075e+03
 2.51400520e+03
 2.51431063e+03
 2.51361356e+03
 2.51331056e+03
 2.51365287e+03
 2.51468807e+03
 2.51506773e+03
 2.51452293e+03
 2.51501735e+03
 2.51534100e+03
 2.51458365e+03
 2.51546860e+03
 2.51520037e+03
 2.51397825e+03
 2.51445066e+03
 2.51539563e+03
 2.51489613e+03
 2.51441220e+03
 2.51447880e+03
 2.51462726e+03
 2.51500953e+03
 2.49836392e+03
 2.51395837e+03
 2.51371786e+03
 2.51433505e+03
 2.51482113e+03
 2.51557901e+03
 2.51494719e+03
 2.51406239e+03
 2.51469276e+03
 2.51392747e+03
 2.51330759e+03
 2.51376403e+03
 2.51463190e+03
 2.51479905e+03
 2.51492674e+03
 2.51459734e+03
 2.51481612e+03
 2.51528982e+03
 2.51431873e+03
 2.51438462e+03
 2.51489618e+03
 2.51517852e+03
 2.51572306e+03
 2.51538976e+03
 2.51467627e+03
 2.51477188e+03
 2.51509436e+03
 2.51383014e+03
 2.51393711e+03
 2.51500167e+03
 2.51572002e+03
 2.51532376e+03
 2.51441856e+03
 2.51371126e+03
 2.51329880e+03
 2.51332372e+03
 2.51356343e+03
 2.51405008e+03
 2.51451409e+03
 2.51508634e+03
 2.51497549e+03
 2.51476960e+03
 2.51338374e+03
 8.51915054e+110
 4.25566194e+108
 2.51330580e+03
 2.51577942e+03
 2.51643822e+03
 2.51475503e+03
 2.51394692e+03
 2.51449420e+03
 2.51372717e+03
 Inf
 1.38178967e+154
 Inf
 2.51329880e+03
 2.09679619e+187
 3.99309925e+276
 2.51381542e+03
 2.51417193e+03
 2.51521155e+03
 2.51573873e+03
 2.51463883e+03
 2.51447462e+03
 2.51462492e+03
 2.51545687e+03
 2.51560042e+03
 2.51567667e+03
 2.51626339e+03
 2.51624877e+03
 2.51378087e+03
 3.33081528e+38
 1.47850020e+53
 2.51758361e+03
 2.51411803e+03
 2.61756379e+92
 4.76105900e+31
 8.01028397e+25
 2.20793570e+49
 Inf
 2.51349622e+03
 2.51359417e+03
 2.51403787e+03
 2.51378797e+03
 Inf
 Inf
 3.93893227e+52
 7.06599525e+41
 1.61231852e+220
 2.51363954e+03
 Inf
 7.70655172e+102
 7.11716220e+45
 1.28249832e+66
 2.83173230e+122
 3.98987532e+28
 2.12666201e+33
 1.05462637e+30
 2.74221770e+18
 1.01086562e+19
 4.84434394e+22
 9.36609945e+27
 1.90078439e+40
 3.73686602e+210
 2.51355706e+03
 2.51373527e+03
 2.51336973e+03
 2.51329666e+03
 2.51330405e+03
 Inf
 4.30459378e+130
 1.87165311e+305
 2.51332417e+03
 2.51350953e+03
 2.51437225e+03
 2.51376263e+03
 2.51328195e+03
 3.89009477e+200
 1.11521419e+158
 2.51337096e+03
 2.51373121e+03
 2.51351927e+03
 2.51474537e+03
 2.51670495e+03
 2.51788189e+03
 1.43559923e+120
 4.86730447e+80
 Inf
 7.86410916e+290
 2.51573238e+03
 2.51659222e+03
 2.51476472e+03
 2.51485053e+03
 2.51637441e+03
 2.51623180e+03
 2.51562449e+03
 2.51523657e+03
 2.51548333e+03
 2.51482603e+03
 2.51393393e+03
 2.51363474e+03
 2.51327925e+03
 1.04854689e+133
 7.29278048e+140
 2.51447018e+03
 2.51425842e+03
 9.59256472e+207
 6.19974115e+163
 1.53606089e+95
 4.31753274e+97
 6.74810235e+224
 2.51352125e+03
 2.51679389e+03
 2.51864085e+03
 2.51691793e+03
 2.51553096e+03
 Inf
 6.99722585e+104
 Inf
 5.12105532e+146
 Inf
 2.51461572e+03
 2.51467227e+03
 2.51329726e+03
 Inf
 2.51328304e+03
 Inf
 5.64735982e+107
 4.43470049e+69
 7.79177631e+68
 3.34245378e+101
 2.51327954e+03
 2.51533526e+03
 2.51675687e+03
 2.51493436e+03
 2.51501692e+03
 2.51670856e+03
 2.51571985e+03
 2.51580731e+03
 2.51682375e+03
 2.51701017e+03
 2.51689137e+03
 2.51722401e+03
 2.51777984e+03
 2.51824730e+03
 2.51745652e+03
 2.51395345e+03
 2.01777538e+274
 3.79317561e+241
 2.51346549e+03
 2.50797110e+03
 2.51327435e+03
 Inf
 Inf
 6.68089874e+118
 7.34690580e+73
 Inf
 2.51369305e+03
 2.51328029e+03
 Inf
 1.37069469e+91
 2.80024432e+238
 2.51509168e+03
 2.51463169e+03
 2.51572613e+03
 2.51485338e+03
 2.51366273e+03
 2.51452070e+03
 2.51539856e+03
 2.51689912e+03
 2.51578246e+03
 2.51451851e+03
 2.51409811e+03
 2.51413080e+03
 2.51480383e+03
 2.51547163e+03
 2.51583326e+03
 2.51472613e+03
 2.51505425e+03
 2.51620864e+03
 2.51577610e+03
 2.51639189e+03
 2.51881690e+03
 2.51953206e+03
 2.51775866e+03
 2.51726792e+03
 2.51898662e+03
 2.51990523e+03
 2.48748320e+03
 2.51926563e+03
 2.51915026e+03
 2.51868659e+03
 2.51850343e+03
 2.51908685e+03
 2.51852572e+03
 2.51894377e+03
 2.51913050e+03
 2.51864956e+03
 2.51741604e+03
 2.51693720e+03
 2.51798891e+03
 2.51800837e+03
 2.51772506e+03
 2.51795434e+03
 2.51875156e+03
 2.51831364e+03
 2.49480129e+03
 2.51874221e+03
 2.51760008e+03
 2.51676786e+03
 2.51694810e+03
 2.51786035e+03
 2.51853062e+03
 2.51820705e+03
 2.51773354e+03
 2.51737576e+03
 2.51633951e+03
 2.51632322e+03
 2.51655193e+03
 2.51705985e+03
 2.51756308e+03
 2.51705972e+03
 2.51602100e+03
 2.51498084e+03
 2.51514552e+03
 2.51648746e+03
 2.51761682e+03
 2.51753674e+03
 2.51722406e+03
 2.51676039e+03
 2.51612077e+03
 2.51592314e+03
 2.51660250e+03
 2.51669440e+03
 2.51632904e+03
 2.51629500e+03
 2.51660614e+03
 2.51720830e+03
 2.51651239e+03
 2.51686115e+03
 2.51668634e+03
 2.51572927e+03
 2.51585835e+03
 2.51593929e+03
 2.51657357e+03
 2.51616442e+03
 2.51582050e+03
 2.51616784e+03
 2.51604394e+03
 2.51614420e+03
 2.51593918e+03
 2.51576057e+03
 2.51580761e+03
 2.51642009e+03
 2.51600116e+03
 2.51341988e+03
 2.85186994e+230
 7.33105590e+255
 7.75819558e+296
 2.14960095e+233
 1.43828223e+246
 7.71308880e+215
 5.19960361e+191
 7.09040601e+177
 Inf
 2.51339178e+03
 2.51363954e+03
 2.51388326e+03
 2.51338839e+03
 7.84542810e+235
 2.22876482e+156
 Inf
 2.51328421e+03
 2.51327640e+03
 Inf
 Inf
 2.51333443e+03
 2.51350092e+03
 2.51352822e+03
 Inf
 Inf
 2.51355917e+03
 Inf
 Inf
 2.51349528e+03
 2.51373525e+03
 2.51342992e+03
 2.51335956e+03
 2.51389573e+03
 2.51402579e+03
 2.51396001e+03
 2.51410713e+03
 2.51395180e+03
 2.51382276e+03
 2.51398494e+03
 2.51379369e+03
 2.51362761e+03
 2.51422733e+03
 2.51433514e+03
 2.51387090e+03
 2.51381106e+03
 2.51379371e+03
 2.51337853e+03
 2.51327416e+03
 2.51330202e+03
 2.51331327e+03
 2.51349528e+03
 2.51390045e+03
 2.51407126e+03
 2.51421381e+03
 2.51381249e+03
 2.51346203e+03
 2.51388325e+03
 2.51448328e+03
 2.51369175e+03
 2.51358081e+03
 2.51348511e+03
 2.51327690e+03
 2.51336015e+03
 2.51369950e+03
 2.51327780e+03
 4.01107796e+159
 Inf
 2.51341837e+03
 2.51336973e+03
 2.51344191e+03
 2.51347608e+03
 2.51350473e+03
 2.51417187e+03
 2.51415798e+03
 2.51347876e+03
 2.51332733e+03
 2.51366895e+03
 2.51496012e+03
 2.51468794e+03
 2.51423512e+03
 2.51412909e+03
 2.51446800e+03
 2.51520326e+03
 2.51578259e+03
 2.51668653e+03
 2.51657658e+03
 2.51599796e+03
 2.51581742e+03
 2.51630129e+03
 2.51582041e+03
 2.51620515e+03
 2.51685382e+03
 2.51623246e+03
 2.51584278e+03
 2.51651599e+03
 2.51727170e+03
 2.51724690e+03
 2.51721224e+03
 2.51651245e+03
 2.51659108e+03
 2.51725970e+03
 2.51639189e+03
 2.51594254e+03
 2.51590088e+03
 2.51538982e+03
 2.51580139e+03
 2.51675666e+03
 2.51797612e+03
 2.51751752e+03
 2.51702129e+03
 2.51722779e+03
 2.51674547e+03
 2.51606734e+03
 2.51597210e+03
 2.51678264e+03
 2.51724796e+03
 2.51670113e+03
 2.51652697e+03
 2.51732744e+03
 2.51581409e+03
 2.51500432e+03
 2.51531237e+03
 2.51552502e+03
 2.51503844e+03
 2.51384959e+03
 2.51380967e+03
 2.51420418e+03
 2.51341239e+03
 Inf
 Inf
 7.83824480e+290
 1.93896310e+207
 5.72959608e+130
 2.58894807e+87
 1.84917715e+144
 Inf
 2.51328836e+03
 2.51329214e+03
 2.51339870e+03
 2.51329911e+03
 1.10838974e+282
 2.23602833e+199
 7.41434542e+183
 5.62137940e+285
 8.63122171e+175
 7.41257243e+125
 Inf
 2.51411260e+03
 2.51395337e+03
 2.51393235e+03
 2.51449642e+03
 2.51410169e+03
 2.51418506e+03
 2.51405533e+03
 2.51382718e+03
 2.51410895e+03
 2.51385867e+03
 2.51372184e+03
 2.51381834e+03
 2.51404833e+03
 2.51377663e+03
 2.51334672e+03
 2.51338974e+03
 2.51353426e+03
 2.51356025e+03
 2.51351731e+03
 2.51353527e+03
 2.51356024e+03
 2.51372450e+03
 2.51436600e+03
 2.51408369e+03
 2.51385716e+03
 2.51416810e+03
 2.51408189e+03
 2.51430455e+03
 2.51515386e+03
 2.51543064e+03
 2.51430455e+03
 2.51399168e+03
 2.51433504e+03
 2.51375709e+03
 2.51334406e+03
 Inf
 6.81434178e+265
 2.51327490e+03
 2.51378798e+03
 2.51447674e+03
 2.51394853e+03
 2.51398318e+03
 2.51399506e+03
 2.51382128e+03
 2.51487849e+03
 2.51598492e+03
 2.51603219e+03
 2.51647322e+03
 2.51634972e+03
 2.51485591e+03
 2.51394366e+03
 2.51474294e+03
 2.51518677e+03
 2.51596527e+03
 2.51503315e+03
 2.51496557e+03
 2.51576679e+03
 2.51551886e+03
 2.51632209e+03
 2.51618448e+03
 2.51775448e+03
 2.52001811e+03
 2.51882593e+03
 2.51636044e+03
 2.51509707e+03
 2.51620516e+03
 2.51877956e+03
 2.52050712e+03
 2.52119688e+03
 2.51909165e+03
 2.51699439e+03
 2.51843494e+03
 2.52033151e+03
 2.52089774e+03
 2.52286543e+03
 2.51890137e+03
 2.52014707e+03
 2.52425489e+03
 2.52134199e+03
 2.51915439e+03
 2.51805850e+03
 2.52012670e+03
 2.48725804e+03
 2.52005927e+03
 2.52079833e+03
 2.52120786e+03
 2.51867729e+03
 2.52099021e+03
 2.52658049e+03
 2.48091948e+03
 2.52892361e+03
 2.52901637e+03
 2.52719640e+03
 2.52392147e+03
 2.52282316e+03
 2.52422808e+03
 2.52571053e+03
 2.52623588e+03
 2.52579372e+03
 2.52511460e+03
 2.52570947e+03
 2.52654435e+03
 2.52693920e+03
 2.52561890e+03
 2.52457379e+03
 2.52385703e+03
 2.52256007e+03
 2.52267807e+03
 2.52113472e+03
 2.52073387e+03
 2.52243302e+03
 2.51933878e+03
 2.51874751e+03
 2.52173672e+03
 2.52286021e+03
 2.51877011e+03
 2.51583639e+03
 2.51711010e+03
 2.51867283e+03
 2.52103491e+03
 2.52212359e+03
 2.52129128e+03
 2.51609396e+03
 2.51400351e+03
 2.51477198e+03
 2.51610068e+03
 2.51600696e+03
 2.51439950e+03
 2.51606061e+03
 2.51821187e+03
 2.51750110e+03
 2.51894863e+03
 2.52022110e+03
 2.51355811e+03
 2.87108949e+64
 Inf
 2.51621210e+03
 2.51497551e+03
 2.51419082e+03
 2.51387707e+03
 2.51497303e+03
 2.51490080e+03
 2.51434738e+03
 2.51482354e+03
 2.51393877e+03
 2.51347787e+03
 2.51328029e+03
 Inf
 2.51396167e+03
 2.51499649e+03
 2.51477921e+03
 2.51680129e+03
 2.52138213e+03
 2.51759585e+03
 2.51533241e+03
 2.51638479e+03
 2.51767081e+03
 2.52096299e+03
 2.52276167e+03
 2.51434120e+03
 2.51375712e+03
 2.51597175e+03
 2.51608865e+03
 2.51997156e+03
 2.52031314e+03
 2.51983320e+03
 2.52082007e+03
 2.51917825e+03
 2.51929264e+03
 2.52307585e+03
 2.52331318e+03
 2.52342826e+03
 2.52488287e+03
 2.52555039e+03
 2.52522308e+03
 2.52371475e+03
 2.52137078e+03
 2.51983868e+03
 2.51944770e+03
 2.51884507e+03
 2.51789879e+03
 2.51796589e+03
 2.51745656e+03
 2.51644839e+03
 2.51606411e+03
 2.51605206e+03
 2.51617466e+03
 2.51670489e+03
 2.51703292e+03
 2.51653750e+03
 2.51674163e+03
 2.51799762e+03
 2.51815989e+03
 2.51601109e+03
 2.51475990e+03
 2.51470981e+03
 2.51470486e+03
 2.51442282e+03
 2.51432283e+03
 2.51431902e+03
 2.51475503e+03
 2.50090341e+03
 2.51470228e+03
 2.51438059e+03
 2.51344355e+03
 2.51338639e+03
 2.51375021e+03
 2.51395675e+03
 2.51376681e+03
 2.51356665e+03
 2.51349248e+03
 2.51345945e+03
 2.51340438e+03
 2.51339383e+03
 2.51340799e+03
 2.51333154e+03
 Inf
 5.02349141e+217
 Inf
 2.51334618e+03
 2.51339800e+03
 2.51355494e+03
 2.51356775e+03
 2.51382128e+03
 2.51380226e+03
 2.51331897e+03
 Inf
 2.51329135e+03
 2.51336790e+03
 2.51328836e+03
 Inf
 2.51327533e+03
 2.51332417e+03
 2.51328267e+03
 Inf
 2.51327968e+03
 2.51329135e+03
 2.51327669e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.86748079e+270
 1.37994822e+193
 2.84838419e+195
 1.64746426e+172
 5.09762881e+142
 1.46125475e+176
 8.78044919e+207
 1.10632692e+149
 1.36094111e+107
 3.11301022e+97
 7.39755237e+95
 1.42420700e+79
 2.19444527e+67
 3.41051267e+69
 1.68806317e+72
 1.03536041e+62
 2.96225134e+55
 1.31681922e+50
 8.89578248e+47
 1.73512289e+52
 1.11785978e+73
 1.69119262e+68
 1.83868953e+52
 2.72409927e+75
 1.46648746e+118
 3.44540407e+131
 6.01722212e+120
 4.05677582e+137
 9.83743490e+193
 2.10507960e+211
 9.24537736e+259
 1.74280169e+158
 2.27728557e+119
 5.99821696e+120
 5.01345048e+127
 1.20628541e+129
 1.33269324e+122
 5.33743019e+110
 6.76444103e+107
 4.18154042e+109
 3.97768159e+118
 1.08639715e+149
 7.26603770e+154
 1.74274946e+142
 7.92379003e+109
 2.42042617e+90
 3.79666786e+98
 2.72206015e+94
 2.19546659e+79
 2.14859528e+85
 3.03302420e+79
 1.49048138e+76
 1.45320632e+94
 1.11914383e+89
 4.90206251e+71
 2.68407096e+59
 1.30689562e+49
 1.74430003e+47
 3.54510603e+53
 1.32819680e+57
 1.67099374e+55
 5.00973598e+53
 9.48019706e+54
 6.50580344e+56
 5.69799698e+57
 8.89974854e+55
 2.82043626e+54
 4.90021029e+54
 1.79121383e+48
 7.91723160e+49
 1.41683539e+46
 3.89025937e+42
 8.23144148e+50
 1.50270292e+44
 1.15455230e+47
 1.93041559e+63
 3.01468617e+59
 6.15099540e+50
 1.16066167e+47
 4.87080863e+54
 4.95150691e+56
 2.09915435e+52
 9.47062754e+54
 1.57584909e+53
 1.92437656e+50
 2.25761286e+48
 1.24766601e+47
 1.19572679e+49
 6.10951142e+50
 1.60042208e+51
 4.64750744e+54
 1.15486771e+52
 4.93217749e+50
 7.93932381e+50
 6.60795830e+44
 3.99382259e+44
 1.31397671e+44
 4.02905422e+43
 9.82763719e+44
 9.95436791e+30
 2.00219330e+31
 4.66324540e+45
 3.03997012e+43
 2.47188468e+40
 7.55784804e+38
 2.97178605e+38
 1.55788876e+39
 5.89573769e+38
 2.16577267e+39
 6.03055680e+40
 1.83313064e+41
 2.22694367e+39
 8.18738286e+37
 2.96904553e+38
 3.52517686e+36
 1.29734408e+37
 6.21389191e+41
 1.78436469e+41
 5.06401170e+39
 1.49403665e+42
 2.13427125e+42
 2.21808715e+40
 2.64448683e+41
 1.05479624e+43
 2.80578943e+41
 1.08411857e+42
 9.53664798e+45
 3.17432215e+44
 1.02536621e+42
 5.20052861e+39
 4.90422644e+35
 4.68244903e+28
 5.96472933e+27
 1.37670693e+36
 7.30053676e+43
 1.44938261e+40
 2.87077146e+39
 4.71571676e+40
 1.05066302e+35
 1.39289401e+36
 8.78697548e+41
 3.81391920e+39
 1.54737480e+41
 2.59489908e+44
 6.44328345e+41
 1.17300609e+41
 1.11972450e+33
 1.25291871e+29
 5.46313024e+33
 3.58558529e+41
 2.90068277e+40
 1.15725200e+36
 2.44525980e+37
 5.79660298e+34
 4.33796477e+37
 3.51881271e+47
 1.81489304e+45
 3.61538139e+35
 2.02528791e+30
 7.99112395e+35
 8.45930253e+42
 2.87670231e+42
 1.11590408e+38
 1.83630636e+35
 1.25890840e+44
 8.99593318e+50
 7.17666609e+40
 6.05211589e+38
 1.16225477e+37
 1.47899042e+39
 1.11212119e+44
 1.16376327e+45
 6.27646748e+45
 1.54720213e+42
 5.34723002e+43
 2.16201671e+40
 4.42515536e+35
 2.79810347e+47
 3.81295499e+78
 9.98741965e+55
 9.56774693e+39
 4.50213556e+38
 2.01787512e+55
 3.75993092e+41
 6.17172147e+35
 2.05720571e+53
 2.82478725e+58
 3.12970453e+46
 1.87963473e+46
 1.19083169e+66
 4.06920088e+71
 1.75144712e+62
 5.10566436e+57
 1.15264048e+41
 1.99008471e+40
 8.29279365e+61
 1.18013496e+64
 1.07839462e+60
 5.32764139e+52
 7.41297564e+48
 3.69634340e+47
 2.92884352e+49
 7.60014469e+49
 1.50382303e+47
 6.09770360e+43
 2.10394972e+49
 1.08300240e+59
 4.75377883e+60
 1.02924262e+62
 1.05541935e+55
 1.40505043e+43
 4.23224022e+39
 1.63569787e+48
 9.98780650e+57
 1.38204186e+59
 1.33320489e+57
 5.84174938e+52
 2.51832638e+52
 1.06415043e+57
 7.30766165e+50
 1.07916093e+48
 8.22276442e+47
 4.23097718e+48
 1.58934311e+49
 2.27700146e+51
 9.46343692e+54
 3.83488172e+57
 8.29822925e+63
 1.86570259e+67
 7.48896399e+64
 1.48037460e+67
 2.18347060e+80
 6.42574125e+80
 3.23424558e+66
 1.13351269e+58
 1.75637019e+51
 5.92709035e+49
 4.67135900e+56
 2.41768660e+62
 1.70512567e+63
 2.68282251e+58
 1.67682794e+68
 7.18814344e+77
 1.31475538e+59
 8.93504061e+52
 9.09872668e+58
 3.28432080e+54
 9.26016489e+44
 7.85635501e+43
 1.23107367e+44
 1.04797618e+44
 6.67444821e+49
 1.29624274e+47
 2.16908103e+46
 3.10548971e+46
 6.70217510e+42
 3.12898598e+43
 7.98023961e+46
 2.37565833e+51
 1.41028948e+49
 1.29555977e+47
 5.66186165e+45
 2.43274299e+48
 6.15768398e+59
 6.50320788e+72
 4.75009490e+77
 7.19647149e+72
 3.29979438e+95
 1.38664131e+125
 5.15336034e+96
 1.49942015e+76
 2.37356159e+73
 7.45954624e+76
 1.25075198e+44
 1.38956235e+47
 2.61952040e+94
 2.69266390e+82
 1.49228608e+76
 2.57904421e+64
 1.76383587e+60
 2.93920030e+68
 1.03254870e+73
 2.32767127e+68
 5.45956420e+73
 8.61088637e+74
 4.88211091e+52
 2.95994594e+43
 5.82048091e+50
 4.20909364e+80
 1.50478819e+69
 2.12804992e+60
 4.01903943e+54
 1.09600690e+45
 4.69662763e+50
 6.38218169e+51
 2.67030578e+35
 9.84437623e+37
 1.34415885e+48
 8.85118831e+48
 1.37817131e+61
 6.42420603e+51
 6.23562128e+37
 2.11475524e+35
 4.53586074e+45
 1.89020356e+61
 3.15178188e+72
 1.66343308e+81
 1.24720215e+77
 8.62458172e+74
 2.41493908e+71
 3.74929708e+66
 2.57593180e+63
 8.42370631e+68
 5.42073017e+62
 6.42026570e+53
 3.92468117e+53
 4.40141047e+52
 2.35484933e+59
 1.89282718e+58
 9.89828632e+55
 1.36014502e+56
 1.11003184e+49
 8.75234261e+51
 1.42944600e+53
 3.48555971e+52
 2.51955930e+55
 4.29292449e+57
 3.99213695e+56
 2.95193189e+65
 1.65621816e+81
 7.84473396e+74
 7.41317055e+75
 1.16148206e+74
 1.01202325e+67
 6.06398196e+57
 1.09857358e+54
 1.86167591e+48
 3.96457385e+41
 2.63966844e+38
 2.47656862e+34
 1.66963778e+42
 3.05065420e+53
 3.37701561e+30
 9.60696513e+30
 1.92519618e+43
 3.51008508e+40
 3.45928789e+31
 1.12900815e+27
 1.53994527e+29
 2.47576220e+37
 3.92730825e+34
 1.88110140e+30
 1.38328733e+36
 2.95428113e+36
 9.68582138e+31
 1.66953930e+30
 2.21010824e+33
 8.69998573e+38
 2.22417276e+38
 3.66996839e+35
 2.05086373e+39
 1.52295555e+43
 2.46982636e+39
 6.45265967e+29
 1.34225340e+33
 4.86848488e+35
 9.97084031e+33
 2.13912033e+40
 2.83042783e+48
 1.00261510e+52
 4.31632835e+43
 2.73121883e+48
 1.45234022e+44
 1.04758026e+44
 3.21285211e+46
 1.79109638e+41
 6.89090734e+43
 5.24826616e+42
 2.35115411e+37
 9.88392473e+40
 5.88575067e+17
 4.96224271e+15
 8.37066752e+33
 5.21605145e+37
 4.06218582e+29
 1.65033089e+30
 2.05760056e+32
 8.24996801e+36
 4.57567062e+40
 3.14268613e+40
 4.46720574e+37
 1.40543174e+42
 4.41820533e+45
 6.18256371e+31
 8.30363584e+37
 2.92867008e+61
 7.50413393e+46
 3.63386380e+38
 1.01759527e+41
 1.68308111e+42
 1.71279476e+38
 1.72843411e+41
 1.54003965e+44
 7.13470754e+43
 6.69783945e+38
 8.57695633e+37
 2.14997732e+40
 1.86987580e+44
 5.26501246e+52
 5.12391216e+42
 3.72798561e+41
 1.14059025e+41
 6.56714762e+35
 2.13204781e+37
 6.02483768e+37
 2.86384003e+39
 1.47685864e+43
 2.04836352e+40
 1.95959002e+39
 4.23592390e+32
 1.07996117e+27
 3.19499043e+27
 7.21925357e+26
 5.27124787e+28
 2.77788291e+31
 2.42502516e+29
 1.07676510e+29
 1.28041553e+29
 4.64682737e+28
 2.07613598e+28
 6.69055041e+25
 5.71843492e+22
 1.34525955e+24
 3.13759390e+30
 1.91628668e+33
 3.54620502e+33
 7.38649328e+33
 1.99525301e+33
 3.54672961e+31
 3.66968508e+33
 2.24341064e+31
 2.86659683e+30
 4.01239530e+33
 5.07753616e+35
 1.07697079e+42
 3.72060212e+34
 2.28133682e+31
 2.09821139e+33
 8.56546594e+33
 7.16320714e+30
 8.25695799e+25
 1.00480264e+31
 1.12523206e+37
 2.85936767e+32
 2.15221322e+34
 1.01727466e+40
 3.33897520e+32
 5.49347045e+26
 5.67812720e+31
 6.77543194e+35
 9.78818298e+33
 1.25796119e+33
 1.08250589e+32
 7.42094071e+31
 8.73903314e+28
 9.73270315e+25
 1.94762082e+27
 1.69659999e+41
 2.64715185e+54
 8.96622231e+40
 9.22106783e+46
 6.03900199e+61
 4.31253222e+44
 9.35802927e+42
 2.70890046e+57
 1.81463507e+68
 5.50342014e+63
 2.11292444e+46
 1.75849187e+50
 1.47638836e+69
 1.66543974e+78
 1.83556329e+68
 3.35393486e+52
 3.43326695e+66
 8.08564595e+104
 2.31789053e+78
 5.23672652e+46
 1.54929699e+34
 1.38463544e+31
 9.20528698e+28
 5.73073199e+34
 2.18926135e+60
 2.02425126e+102
 3.08175424e+113
 2.98601029e+111
 2.12575540e+127
 1.21358975e+142
 9.48302408e+159
 3.83580336e+163
 4.67775501e+172
 3.93398041e+129
 2.24031359e+126
 2.15595518e+152
 3.55622577e+149
 7.56868516e+215
 Inf
 4.17111310e+208
 1.75654480e+142
 8.49370299e+188
 1.13229798e+174
 2.41031799e+149
 2.42076721e+271
 Inf
 4.78900931e+204
 1.07880485e+204
 1.18144318e+179
 1.40782926e+131
 6.17780280e+124
 1.61172582e+146
 5.85085513e+162
 2.43916536e+184
 5.22243824e+166
 1.14431501e+180
 3.19021908e+201
 2.68903570e+230
 4.43402659e+205
 5.74698427e+144
 3.74356268e+119
 4.18961931e+99
 8.89923562e+98
 5.92225232e+94
 4.09305281e+76
 8.62247359e+74
 3.65058462e+91
 3.68438517e+90
 1.48040038e+85
 6.59738012e+43
 5.88322045e+31
 1.59610664e+32
 4.46666490e+34
 9.85626401e+51
 4.70060180e+69
 2.17237411e+79
 4.75213533e+103
 5.51837245e+169
 2.41195662e+257
 3.33615754e+83
 8.16169026e+62
 3.68182346e+81
 1.38195004e+77
 2.45452101e+80
 1.36131036e+90
 3.97145298e+136
 4.63073509e+95
 1.69151099e+70
 1.23126626e+84
 3.44246332e+80
 5.38487796e+80
 1.67022370e+81
 5.26397670e+64
 6.53237440e+61
 7.93445776e+59
 2.32910559e+56
 2.69248210e+74
 9.28027855e+70
 3.02566012e+59
 3.42216441e+51
 3.35358652e+43
 9.81142941e+50
 5.70321051e+60
 5.60378959e+68
 1.37338894e+67
 6.44635486e+50
 4.14797497e+44
 4.94356761e+42
 2.63342744e+45
 1.66315602e+61
 2.43428422e+76
 1.29516144e+72
 2.95920872e+68
 9.63325629e+88
 1.09284893e+174
 8.08235824e+156
 1.17675293e+132
 4.89789464e+152
 2.23068190e+204
 7.20908492e+294
 Inf
 6.25611869e+218
 5.78567619e+202
 5.80734979e+171
 3.83254842e+122
 6.14848505e+119
 1.01546551e+111
 6.82052336e+89
 2.96775002e+81
 6.11616078e+82
 1.06118601e+81
 1.88004331e+77
 6.95160639e+71
 6.73271250e+76
 8.66501813e+85
 6.52597602e+79
 9.46344273e+80
 3.73005258e+88
 3.64861114e+97
 7.08366554e+96
 1.73584272e+93
 1.15467078e+97
 4.22480642e+79
 2.36181871e+70
 2.36690533e+73
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