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 6.51513573e-06
 6.51507311e-06
 6.51529115e-06
 6.51522549e-06
 Inf
 8.57447136e+239
 Inf
 7.33762637e+250
 8.03441123e+251
 1.13101706e+274
 1.23709690e+196
 9.50497385e+238
 Inf
 Inf
 Inf
 Inf
 7.76158273e+229
 4.05086970e+271
 Inf
 Inf
 1.43232887e+298
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.93495135e+210
 4.18435611e+287
 Inf
 Inf
 Inf
 Inf
 1.98519749e+275
 Inf
 Inf
 Inf
 Inf
 Inf
 2.27623625e+234
 5.96599053e+158
 2.31832524e+145
 1.71927724e+156
 6.14322624e+243
 Inf
 4.46740584e+188
 4.14176917e+155
 5.96412779e+152
 2.37024475e+135
 2.94929527e+172
 2.31890532e+198
 6.64020686e+167
 1.89324830e+139
 6.21598356e+140
 2.55941394e+185
 2.86289648e+140
 2.21921226e+133
 1.00217562e+182
 Inf
 6.61872309e+242
 5.97058538e+158
 1.22698803e+232
 2.22373698e+234
 8.89576971e+147
 4.09900049e+150
 5.98692938e+247
 2.41359582e+251
 3.19787854e+162
 5.86530063e+245
 8.02893971e+251
 5.43282121e+170
 1.80835797e+179
 1.03807602e+208
 9.93542646e+173
 2.88332256e+149
 7.27946795e+156
 3.23039299e+125
 3.17239892e+160
 9.77329066e+185
 2.86311389e+140
 1.70666591e+165
 2.28497685e+200
 1.41566054e+190
 4.14263910e+155
 9.23993434e+140
 9.52124268e+153
 2.21510151e+142
 2.02726030e+128
 2.36814999e+131
 2.35931985e+135
 4.94912628e+106
 4.34181688e+144
 6.69629832e+131
 3.33088682e+117
 1.80155329e+184
 8.38213758e+125
 2.36669146e+131
 6.47301997e+136
 1.45766364e+128
 1.92637783e+124
 4.88192732e+99
 1.94479750e+94
 6.51254299e-06
 6.51464166e-06
 2.42970667e+145
 2.78683635e+138
 1.23474175e+146
 4.95910727e+105
 2.53645666e+106
 3.46955657e+145
 1.29852279e+177
 3.84078039e+132
 2.37056509e+131
 1.04477119e+175
 3.10910650e+119
 3.14053151e+118
 2.67523073e+132
 2.17038962e+130
 9.44121917e+112
 1.25122332e+92
 1.28387295e+91
 6.45007367e+93
 1.55087896e+126
 3.34025345e+131
 1.67396294e+114
 7.09891323e+108
 2.63050582e+102
 2.74981688e+116
 2.33607678e+125
 4.39601395e+117
 4.11475519e+123
 6.05266104e+151
 2.67841397e+152
 3.95332143e+127
 1.66091136e+171
 5.11562027e+197
 1.06305831e+200
 1.44928061e+225
 2.29806772e+199
 2.21207356e+234
 Inf
 Inf
 Inf
 Inf
 Inf
 4.52701133e+216
 5.01415527e+296
 4.78047194e+261
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.81609202e+259
 8.71032824e+284
 2.66853007e+297
 2.22378853e+250
 9.66853244e+153
 1.55378912e+130
 1.90911314e+117
 2.30770762e+119
 4.46201229e+103
 1.43616558e+117
 1.70809467e+170
 1.20132457e+131
 4.09414320e+155
 2.84532129e+187
 2.07492193e+127
 1.17336307e+157
 1.49690591e+153
 3.51663509e+145
 2.04877686e+164
 1.35839426e+148
 5.45759064e+208
 1.50818484e+163
 1.74852055e+119
 9.85601780e+154
 6.59009765e+167
 2.40996727e+197
 4.05922743e+268
 1.61757858e+155
 1.08140465e+127
 4.43398432e+149
 2.42128100e+147
 1.51093249e+152
 2.42252972e+147
 2.46688471e+121
 2.40368394e+147
 1.02337479e+136
 1.22456060e+113
 5.23305996e+160
 Inf
 7.12320863e+189
 1.00089196e+155
 3.15680889e+162
 6.10950353e+151
 3.44477216e+168
 5.16144548e+214
 8.74467746e+206
 5.33904639e+162
 2.72694315e+292
 6.38827922e+269
 4.10364686e+161
 4.99349059e+148
 1.71836075e+125
 1.49420859e+103
 1.69812051e+125
 1.17260131e+157
 3.91542223e+109
 1.50845075e+145
 9.58289285e+151
 5.71158706e+61
 4.39305336e+66
 6.43643276e+141
 3.47049325e+108
 5.27743326e+74
 1.19163586e+77
 3.76949257e+134
 2.89987694e+86
 6.26591403e+55
 6.56837367e+69
 2.95560602e+70
 9.57738827e+118
 Inf
 Inf
 4.13307484e+271
 7.50159228e+142
 Inf
 Inf
 6.55169209e+234
 Inf
 Inf
 2.12911204e+211
 2.90681874e+146
 6.69868213e+131
 2.45917594e+121
 6.43173170e+104
 3.11568331e+105
 1.67882928e+108
 1.75647938e+99
 2.03671661e+101
 2.53207820e+92
 6.02832859e+137
 2.38494117e+177
 1.23230650e+113
 5.80198822e+113
 3.15667640e+96
 2.03761841e+111
 8.42073858e+130
 1.68612911e+104
 7.77558037e+93
 4.68878732e+100
 1.12146691e+168
 2.78244088e+139
 5.89582977e+78
 5.71581221e+71
 1.11223755e+62
 5.18894292e+51
 8.17467158e+54
 3.98629086e+63
 1.81262176e+103
 2.38905301e+161
 9.44965151e+136
 4.45767642e+121
 2.20226960e+95
 8.66669000e+97
 2.11834204e+92
 2.03175587e+101
 6.20547071e+175
 7.42216839e+215
 9.92700105e+169
 9.04547651e+122
 2.00415427e+107
 3.84891444e+101
 2.37500639e+109
 3.37536568e+135
 6.07338282e+151
 5.29327552e+160
 1.32074976e+134
 7.60114609e+113
 4.86314083e+198
 3.05815702e+215
 3.44324868e+111
 9.14026792e+90
 6.00021614e+69
 2.68941253e+64
 2.85400637e+79
 1.38753851e+124
 Inf
 Inf
 Inf
 Inf
 1.03559092e+226
 1.82328574e+179
 5.72840824e+190
 2.07908771e+129
 9.38261179e+111
 6.51282059e-06
 6.52253786e-06
 6.52310338e-06
 6.51991573e-06
 6.51665734e-06
 Inf
 5.65644906e+208
 4.98648997e+142
 3.46065791e+175
 6.28165423e+234
 1.39984728e+228
 5.86936225e+174
 1.61134805e+111
 1.35908584e+100
 8.90063956e+122
 8.42485480e+143
 2.22085875e+133
 8.57937417e+79
 2.87455341e+67
 1.41855449e+64
 1.15387843e+84
 1.32930185e+118
 2.48536583e+72
 1.18549839e+64
 1.93152798e+82
 3.72131292e+93
 1.29590704e+134
 2.09333212e+242
 6.10815810e+130
 1.55583349e+106
 1.55244536e+151
 3.14680071e+105
 5.00858318e+13
 7.90028541e+04
 1.31352362e+09
 1.47953230e+36
 3.61790009e+100
 1.43084248e+99
 1.29703401e+79
 1.23715494e+95
 2.74294423e+138
 5.89176593e+110
 4.43809999e+136
 3.73606322e+143
 3.99478412e+268
 Inf
 3.61098585e+189
 2.98364077e+172
 4.84918708e+211
 2.19972201e+250
 7.69012260e+229
 1.49894742e+142
 6.72749587e+161
 1.40550148e+190
 2.53355751e+163
 1.48453193e+181
 2.80385542e+138
 2.05885102e+127
 9.75530426e+169
 1.08377026e+150
 2.38252749e+118
 4.37241055e+111
 4.16009752e+118
 1.48196203e+127
 1.91630018e+140
 1.19074444e+149
 5.46092690e+173
 1.22631026e+123
 8.73131149e+97
 3.33722422e+112
 5.83880926e+164
 4.95435870e+200
 1.98494802e+192
 7.47810218e+205
 4.95586798e+122
 9.16237139e+90
 1.71401526e+83
 1.83961325e+89
 1.31496826e+108
 1.38436450e+75
 2.66750346e+81
 5.12987136e+172
 3.89246111e+151
 5.57565370e+118
 1.24687965e+125
 2.45528374e+121
 2.96681442e+126
 1.41310513e+124
 2.96900492e+126
 2.89878433e+165
 2.21963353e+180
 2.97874835e+171
 Inf
 Inf
 2.25357056e+234
 Inf
 Inf
 Inf
 1.29081271e+209
 3.38508251e+131
 1.19240870e+131
 3.42569463e+168
 1.65036739e+220
 2.37045728e+201
 1.19048092e+157
 3.20819351e+174
 1.03703545e+208
 3.08270907e+130
 6.50286871e+90
 2.99962269e+88
 7.18525328e+111
 2.44629540e+121
 8.30464717e+116
 1.88689489e+175
 1.51890606e+152
 2.60265881e+91
 4.25548891e+89
 4.01457448e+150
 1.08226192e+198
 1.69238921e+206
 5.33856901e+162
 5.66489669e+112
 1.99905984e+107
 6.64427406e+124
 6.57669744e+155
 1.03134156e+147
 7.32268855e+186
 2.70537542e+122
 2.83734467e+127
 4.13213901e+180
 1.50301679e+153
 3.53410107e+294
 2.96894636e+165
 1.07011799e+156
 1.86099396e+245
 1.61332097e+210
 6.74312415e+210
 5.15065591e+197
 3.89241600e+176
 8.77223448e+188
 4.14194327e+155
 1.51355785e+152
 Inf
 Inf
 3.77592623e+237
 2.60354083e+185
 6.48901180e+133
 1.56344559e+112
 2.53931938e+92
 3.00828467e+82
 1.46408876e+82
 3.34822637e+86
 1.24118259e+95
 2.73928833e+90
 3.10103661e+87
 1.49763969e+95
 8.31820459e+81
 1.51693372e+63
 5.39755764e+55
 1.71201615e+60
 1.10744381e+86
 2.33213441e+98
 7.65614281e+80
 1.51761559e+71
 2.34831473e+67
 9.09321752e+69
 1.11052801e+74
 7.04318308e+70
 2.49756231e+65
 1.04473579e+77
 2.52023159e+80
 2.62469097e+95
 3.60744489e+116
 1.64419602e+123
 1.35973101e+141
 1.59088542e+107
 2.59035198e+112
 2.23460363e+199
 1.68662015e+171
 4.41384060e+111
 1.19772841e+103
 8.98296750e+99
 1.80091263e+97
 3.00814611e+123
 2.75590787e+139
 5.99201573e+139
 1.91132227e+157
 1.48134657e+136
 4.28525748e+130
 5.63100822e+120
 2.76495991e+116
 5.97362142e+121
 2.80440748e+128
 3.57500403e+110
 1.69296144e+110
 5.82279124e+158
 1.72429107e+156
 1.79850671e+118
 1.46535421e+122
 8.06287108e+121
 1.15321169e+109
 3.85080472e+101
 1.65107903e+101
 8.99213359e+101
 1.97682907e+105
 2.95186412e+126
 8.97327695e+122
 3.97848141e+99
 6.22091578e+102
 7.81909315e+106
 2.14506466e+126
 4.39702778e+117
 2.20036396e+95
 1.45772922e+109
 2.86288899e+137
 1.10526647e+143
 5.99717360e+139
 3.15756558e+115
 9.77649348e+118
 7.77058182e+126
 3.58273084e+124
 6.51301861e-06
 Inf
 1.50327723e+128
 9.54078429e+151
 5.71780056e+147
 9.33800255e+115
 1.03474003e+124
 1.47038709e+136
 8.28329535e+107
 2.86731511e+103
 2.14240988e+126
 1.09601014e+117
 3.57328921e+124
 9.37265371e+111
 4.36104327e+91
 2.80617908e+127
 3.45675701e+164
 3.42038061e+135
 3.33349830e+117
 2.00155771e+107
 1.52371018e+85
 5.24500471e+74
 3.23698956e+74
 7.46315168e+123
 1.03768214e+169
 3.42279226e+135
 1.06304636e+156
 1.34876480e+158
 2.38285498e+131
 2.53963870e+107
 2.74890605e+90
 4.33390898e+91
 2.80617690e+127
 1.91676544e+144
 1.91345104e+157
 8.49374253e+143
 1.59165688e+105
 2.04269804e+129
 4.72131780e+131
 7.58404045e+128
 4.37389918e+144
 9.84178047e+118
 6.45078566e+136
 6.21225421e+140
 9.92704895e+141
 6.44300535e+133
 9.50360158e+153
 2.82389077e+190
 1.05352045e+169
 5.59030245e+118
 4.93149650e+106
 4.37303117e+117
 3.13906770e+118
 7.25864698e+111
 3.72626704e+153
 6.91366134e+241
 3.51690352e+175
 2.83754301e+190
 3.88817704e+176
 8.80089687e+138
 2.43206008e+139
 7.29097549e+111
 2.82774105e+114
 1.55634168e+112
 7.84089722e+106
 1.22182111e+97
 5.94777310e+99
 1.12873021e+135
 2.68346374e+122
 3.07978615e+119
 1.71654046e+102
 1.12473653e+89
 5.47887693e+118
 1.46811042e+136
 7.82052560e+105
 1.43725802e+117
 1.33159082e+132
 2.69069374e+134
 Inf
 Inf
 7.54278358e+142
 1.50937620e+152
 1.91645962e+182
 Inf
 4.68471503e+222
 1.86933338e+149
 8.22535040e+192
 1.31393344e+140
 2.06268585e+129
 1.29661244e+204
 2.70756435e+278
 1.08028651e+221
 3.22487366e+238
 1.45770186e+225
 9.56866476e+183
 Inf
 Inf
 8.55398307e+239
 3.07642634e+215
 2.75542772e+233
 5.02982471e+296
 4.49649472e+231
 1.95231734e+275
 1.01870659e+151
 1.10856562e+143
 4.38942048e+144
 4.11418965e+94
 2.03625988e+95
 1.77040791e+118
 9.15609170e+140
 9.57336970e+151
 1.92734711e+140
 9.32537700e+115
 1.18237681e+149
 4.08093643e+138
 2.79518183e+110
 7.83703500e+106
 2.77403964e+110
 1.54550373e+133
 5.49374142e+119
 5.24752560e+98
 1.40805117e+72
 3.23465373e+56
 3.28066748e+48
 5.29861191e+81
 4.81724943e+99
 2.37386694e+63
 1.53522692e+42
 8.13401358e+53
 1.61146845e+165
 9.57031233e+153
 9.45398599e+183
 5.01586127e+165
 3.48957316e+164
 3.77815286e+152
 1.09759101e+133
 1.89630198e+186
 6.49511629e+104
 1.17450307e+90
 1.08742763e+130
 1.41433799e+124
 1.55203937e+133
 4.96233905e+148
 2.13859223e+136
 1.31442635e+134
 2.50472993e+163
 3.42466019e+111
 5.69215316e+79
 1.68274141e+79
 1.00439110e+81
 9.47955370e+98
 1.56505339e+88
 2.46452686e+84
 5.73020025e+117
 9.40882435e+131
 3.12412249e+100
 5.19523343e+85
 8.01373740e+109
 7.24137730e+111
 1.98262122e+105
 1.48398235e+97
 1.51354531e+93
 8.32663226e+143
 1.08633457e+217
 5.76243644e+190
 1.69432605e+150
 4.90852831e+183
 1.67216371e+172
 1.56701942e+133
 2.68564121e+132
 1.75093121e+120
 3.56906185e+158
 6.21676046e+154
 8.76953860e+138
 6.39583749e+150
 1.04296083e+124
 2.83678813e+114
 Inf
 Inf
 1.56432351e+91
 7.74397811e+93
 1.99582741e+112
 1.29353346e+138
 1.65291167e+123
 5.62430472e+112
 4.18121268e+120
 1.69761636e+110
 3.55886432e+110
 1.40675510e+124
 2.64707608e+99
 8.57797057e+94
 2.33524917e+94
 3.18090879e+107
 1.98022207e+105
 9.88161277e+106
 1.87992823e+132
 1.92825401e+124
 4.09092606e+126
 8.11993826e+109
 3.13205231e+118
 1.01605877e+136
 3.46564150e+164
 1.42132095e+70
 1.08659624e+55
 8.75458238e+108
 1.48704092e+178
 1.18660199e+157
 1.92986186e+144
 7.38974505e+142
 2.65264127e+111
 6.28627021e+116
 3.31863464e+117
 7.76728451e+126
 7.55177437e+127
 3.12164784e+100
 5.16113141e+92
 1.81580607e+91
 3.10082535e+105
 3.34592745e+112
 1.65179511e+90
 7.70064939e+102
 1.35024312e+121
 1.07344900e+127
 2.85426015e+149
 6.49917170e+136
 4.50822196e+133
 3.07489431e+89
 2.23709622e+61
 1.04219637e+77
 5.05901123e+107
 1.09351442e+73
 5.16020668e+59
 5.04749967e+70
 3.51512849e+69
 1.56596911e+62
 7.50474063e+60
 1.55021888e+78
 5.48093189e+103
 5.56793613e+123
 5.44317639e+127
 3.86777156e+101
 7.29320739e+142
 1.02777733e+219
 2.99485436e+171
 1.11260616e+143
 4.07578082e+138
 1.65775358e+143
 7.14325996e+108
 2.19528591e+97
 1.37691993e+102
 8.70280894e+83
 4.78338068e+83
 1.42404401e+117
 3.10035801e+106
 8.22892000e+76
 4.43408643e+62
 1.38913610e+72
 1.45039125e+127
 2.76931823e+116
 4.11990634e+81
 2.41980958e+62
 1.35892484e+56
 1.78839870e+76
 2.59597228e+111
 5.29560878e+196
 8.74531929e+103
 6.43910222e+67
 5.84189817e+87
 4.67766090e+100
 5.26218767e+145
 3.09529475e+119
 1.01565944e+81
 2.66594132e+70
 1.97484972e+54
 4.34559638e+46
 3.34132002e+51
 3.09265703e+62
 3.52929883e+64
 9.34550249e+61
 3.52262522e+83
 4.55576940e+90
 7.58053699e+60
 7.06921106e+59
 1.19479853e+97
 1.45634168e+136
 6.43484483e+133
 1.15617521e+109
 1.84690614e+88
 1.25476620e+72
 1.24852827e+55
 6.33670302e+60
 5.49327839e+77
 5.50064842e+108
 1.15305543e+160
 1.21710562e+196
 8.22263411e+177
 1.49908276e+127
 2.36747239e+131
 9.94584394e+106
 1.29950971e+79
 6.22881120e+81
 4.61832134e+82
 2.59680926e+82
 1.41381983e+76
 4.87423189e+66
 3.65846026e+57
 2.43891201e+64
 6.37025078e+83
 3.38735267e+76
 1.51516782e+71
 5.61836820e+79
 4.62500863e+95
 1.21270413e+78
 2.47188236e+66
 4.83848752e+72
 5.66383487e+70
 1.46394033e+61
 2.49070376e+55
 4.63251487e+64
 7.06937620e+82
 1.56864982e+72
 1.21283742e+75
 2.11011765e+84
 5.34176529e+82
 1.63085974e+87
 1.69209850e+82
 6.91494688e+87
 4.72641335e+101
 9.60753552e+102
 5.39478249e+93
 2.13730442e+96
 4.89869482e+106
 1.21562232e+113
 3.88124865e+109
 8.85360840e+92
 4.95127018e+76
 7.38421466e+79
 5.02292022e+80
 1.68360594e+79
 5.17750793e+98
 5.83127995e+110
 1.33966416e+81
 1.53403867e+73
 1.65288390e+104
 2.16461514e+114
 1.00052876e+96
 1.84033955e+88
 3.63818567e+87
 1.63388117e+87
 3.24026177e+90
 6.30897164e+86
 6.65414633e+78
 4.10177665e+70
 9.48424016e+82
 1.62217403e+143
 5.83540055e+117
 2.04058177e+81
 5.51231978e+73
 4.08869596e+55
 3.14896346e+54
 3.97501444e+61
 6.26810743e+63
 4.38656466e+65
 4.38595665e+63
 1.42468174e+68
 6.19602399e+81
 3.77233341e+77
 1.11631234e+69
 6.61850723e+69
 1.36997242e+69
 5.58114101e+59
 6.26185264e+63
 7.51748594e+78
 6.72190477e+75
 2.88971702e+80
 1.32774256e+81
 5.72078597e+71
 4.67191479e+64
 1.34618843e+77
 2.50914881e+92
 1.24392728e+95
 5.54486912e+108
 2.86931972e+98
 2.25672430e+87
 1.76025815e+96
 1.23308884e+111
 2.59011348e+89
 1.37779228e+75
 2.51742536e+75
 1.04991467e+77
 3.53704691e+81
 6.72860583e+75
 9.12693140e+69
 4.34240648e+73
 2.19327489e+79
 4.34644499e+76
 9.89933437e+73
 1.11665462e+86
 3.08371061e+100
 4.28946154e+87
 4.86662354e+65
 2.40524343e+62
 6.28148046e+70
 5.30997743e+82
 3.31513676e+112
 1.34219479e+101
 2.80659675e+85
 4.29543454e+77
 1.93064316e+67
 3.38077860e+61
 1.92438889e+52
 3.05718116e+55
 2.78940486e+60
 8.88327412e+64
 6.15250968e+73
 8.44581733e+79
 8.63914431e+83
 1.75307623e+75
 1.64804064e+100
 2.43655788e+121
 6.41808916e+98
 5.17652868e+91
 4.78754083e+97
 5.14315984e+71
 4.59594636e+60
 1.18265956e+77
 8.16390456e+77
 5.01890700e+80
 3.79099338e+85
 1.47590290e+79
 1.93174856e+73
 1.55425456e+70
 2.58223781e+82
 7.13059409e+82
 7.38948318e+68
 1.95439868e+72
 1.07471454e+75
 7.56150866e+78
 2.85766758e+86
 3.63580187e+87
 1.06764414e+63
 1.55038473e+64
 1.77257972e+86
 8.32636379e+89
 2.53062172e+75
 5.47614361e+54
 2.47181302e+49
 9.36627307e+54
 3.56378796e+60
 7.73655484e+57
 2.84791655e+62
 2.41658649e+73
 9.43341216e+65
 1.84120883e+66
 8.15008639e+85
 2.73036414e+90
 1.51009544e+93
 6.48689376e+79
 2.43629695e+73
 1.52358584e+66
 7.91369461e+66
 1.40429868e+74
 6.51203932e-06
 6.52378072e-06
 6.52382989e-06
 6.52219101e-06
 6.51753539e-06
 Inf
 1.48953399e+225
 5.25784294e+178
 9.64339386e+151
 4.29903021e+130
 1.15543317e+109
 4.08570315e+94
 3.85438142e+90
 1.18952276e+87
 4.27104191e+87
 2.24881127e+87
 1.63375624e+87
 5.19615055e+98
 3.33817236e+112
 1.21770803e+113
 1.21046497e+96
 2.13915212e+96
 2.18712687e+97
 1.39768801e+87
 1.81593644e+76
 1.37364521e+69
 2.15970416e+73
 2.34985710e+71
 2.46550438e+66
 1.35161751e+71
 6.38318199e+90
 3.05693568e+91
 1.74062667e+70
 5.69587116e+71
 3.45319917e+98
 3.02195528e+92
 2.86792746e+84
 1.11815439e+89
 3.02024294e+78
 6.32827663e+70
 8.70667090e+80
 5.41045634e+81
 3.92197737e+69
 7.54187696e+78
 3.28768954e+79
 8.64979202e+78
 3.21851166e+75
 3.27641700e+71
 3.30501300e+84
 1.21948632e+73
 7.54492455e+63
 2.61347889e+76
 1.62636234e+87
 1.37160411e+102
 2.66015123e+132
 1.21111008e+112
 9.68075146e+85
 1.95158989e+82
 3.10335893e+93
 8.66090840e+97
 2.58107982e+89
 8.79942944e+92
 2.63804152e+95
 1.33453584e+81
 6.91177159e+87
 9.55919012e+102
 5.40733780e+86
 2.56473431e+91
 4.92018375e+109
 7.82752433e+98
 9.64866757e+85
 1.64969888e+114
 5.62616312e+111
 7.14239007e+94
 4.89603054e+106
 5.23051526e+98
 1.95066160e+90
 1.52558272e+91
 3.80218959e+96
 4.34290874e+111
 1.35419563e+121
 7.53535076e+120
 2.33644211e+120
 3.45521234e+108
 1.29179918e+138
 1.33888227e+132
 7.17763199e+97
 1.57382442e+107
 7.28342450e+119
 3.24176625e+120
 2.86719325e+129
 9.60062044e+178
 3.78770527e+153
 7.83059422e+126
 7.35534142e+166
 4.25612108e+163
 5.91000440e+158
 2.38311085e+131
 6.85368329e+131
 1.10353709e+143
 1.30260470e+98
 6.37876495e+98
 1.81140200e+121
 4.05951775e+107
 9.64862523e+84
 5.12474927e+71
 7.07972133e+65
 8.75561378e+73
 2.16707331e+95
 2.11267410e+102
 1.61891091e+94
 5.02934282e+87
 3.04020756e+89
 1.16896272e+90
 7.10694712e+100
 4.40492448e+80
 1.12866389e+79
 1.32562763e+118
 1.82828206e+91
 4.89476446e+77
 1.92479939e+106
 5.80566188e+113
 1.58171483e+105
 4.91445273e+105
 1.06825159e+127
 2.54728551e+92
 5.42585530e+90
 2.64662981e+132
 1.47275668e+109
 3.15936338e+174
 Inf
 6.29498890e+243
 6.51370257e-06
 6.51449715e-06
 2.97080202e+239
 2.73342280e+217
 8.07561891e+223
 1.42019223e+190
 7.87106096e+126
 3.72650681e+143
 7.12183946e+250
 1.95796771e+275
 5.24343586e+214
 7.63801668e+240
 Inf
 3.96027191e+176
 4.32569127e+166
 4.03216212e+192
 1.23697913e+232
 1.88192712e+284
 6.80167397e+124
 4.44521986e+121
 2.23382866e+123
 4.37777850e+111
 1.30537788e+134
 6.02266059e+130
 1.36259460e+141
 3.75964268e+152
 1.21183579e+164
 5.32153311e+181
 1.23158303e+116
 5.39571818e+115
 9.35177034e+170
 5.96877454e+244
 1.29324744e+167
 1.90679656e+132
 1.18831510e+149
 2.19577642e+93
 5.56437316e+83
 2.29150695e+83
 3.81682688e+80
 8.09533915e+114
 1.46682599e+109
 3.09861988e+73
 4.91391768e+79
 3.24894887e+85
 8.76136386e+80
 2.11557627e+84
 2.54075908e+88
 3.63651027e+91
 1.93735551e+106
 3.28482481e+121
 3.83755130e+100
 4.43891050e+103
 2.32418176e+120
 5.53941595e+118
 3.89777567e+128
 2.64522904e+111
 8.38978131e+89
 2.84989733e+103
 4.08361827e+119
 7.65960133e+132
 4.50398464e+133
 1.05770611e+129
 4.83080487e+114
 5.79721101e+117
 2.80120484e+128
 8.63810662e+94
 5.39484050e+86
 4.34431262e+108
 8.75042392e+139
 1.76851083e+174
 3.73458755e+147
 9.47217247e+112
 2.04529163e+127
 3.49328846e+184
 2.44162242e+161
 3.42370429e+111
 1.30217504e+120
 9.24900360e+171
 2.22200080e+142
 6.22619882e+92
 1.11767999e+94
 2.51057533e+101
 1.00958346e+84
 1.67579734e+80
 7.61052243e+80
 5.81764038e+78
 8.23288411e+82
 8.47805809e+79
 6.63745166e+78
 1.78650557e+86
 8.92914394e+99
 2.64959852e+87
 1.11541510e+94
 1.89303284e+140
 4.28335333e+159
 5.20332346e+178
 2.52909648e+163
 1.99654883e+122
 4.06048047e+107
 3.44202892e+113
 7.54636100e+128
 2.12896985e+136
 9.70425016e+110
 3.27551725e+104
 4.32499142e+112
 8.04105381e+121
 1.46949927e+136
 4.78908204e+101
 4.10622322e+81
 8.17023514e+76
 5.13353781e+64
 2.14071652e+68
 1.52022264e+86
 3.52796186e+88
 1.64028617e+90
 5.85057159e+101
 1.29093544e+98
 7.52589346e+113
 1.86965827e+139
 9.70966836e+110
 7.75316090e+102
 1.55088609e+112
 4.45405256e+103
 2.16730126e+91
 1.12451980e+86
 1.24102483e+92
 5.83117323e+97
 4.31385660e+92
 3.09183430e+100
 5.56117726e+123
 2.45448388e+121
 5.87042348e+110
 9.02857244e+108
 6.27215233e+114
 4.45704882e+103
 5.05240091e+89
 4.71233961e+81
 3.65805948e+74
 1.29784237e+65
 4.04514306e+62
 3.42550929e+73
 5.08333352e+70
 8.57252831e+75
 6.99217161e+108
 8.85201012e+92
 5.70281786e+70
 7.12095198e+71
 7.36770422e+79
 4.86973242e+94
 1.28794590e+98
 2.49702214e+117
 7.60623013e+123
 2.05003606e+101
 2.76902329e+110
 1.72902333e+119
 5.20325173e+91
 1.00103066e+97
 4.88987084e+165
 1.52576425e+154
 5.17304033e+107
 7.74609559e+102
 1.87700759e+132
 2.56824485e+219
 2.27654688e+290
 Inf
 Inf
 Inf
 Inf
 3.83464652e+152
 Inf
 Inf
 8.20629091e+251
 Inf
 Inf
 4.53599433e+281
 2.28123974e+280
 2.76274854e+212
 4.15413712e+155
 2.78429164e+116
 2.30717679e+119
 2.84745005e+149
 3.58903753e+110
 3.85234557e+101
 9.44821091e+151
 6.23275301e+140
 1.10545419e+130
 8.44193800e+143
 6.22767848e+92
 5.66541579e+79
 9.54784193e+87
 5.08666225e+107
 9.53757124e+158
 1.37096194e+141
 9.40464017e+111
 5.12914510e+107
 1.00606688e+97
 1.87794297e+138
 3.35004549e+131
 2.13492997e+92
 8.02357726e+71
 9.64176246e+72
 1.25134908e+93
 1.11011043e+102
 5.99715019e+125
 9.43171798e+112
 1.07735628e+104
 9.74123196e+118
 7.25958272e+111
 8.03424553e+104
 2.70466058e+55
 2.50354387e+53
 2.75154561e+129
 3.49591924e+184
 1.13306734e+162
 2.06724830e+113
 3.75857725e+93
 3.53860973e+110
 4.95291267e+109
 3.75528032e+93
 1.39606146e+87
 6.43062451e+90
 4.95981140e+157
 4.98992914e+148
 1.09343882e+91
 1.76705713e+85
 9.32310168e+77
 4.30226534e+79
 9.94347567e+104
 8.37642395e+89
 1.43912902e+68
 1.28925992e+85
 1.28574357e+119
 4.78448025e+116
 8.30341872e+96
 3.60863430e+92
 3.09818595e+120
 1.64598842e+123
 9.92855269e+106
 7.62793863e+132
 1.45638262e+128
 3.12182477e+100
 1.54960947e+112
 3.07105602e+119
 8.80932274e+91
 4.89389464e+94
 1.99646266e+112
 2.63466835e+111
 2.17161615e+91
 7.42375494e+79
 1.83126125e+103
 7.73072224e+126
 5.43780532e+128
 2.48179997e+143
 3.47142542e+108
 5.93287675e+87
 1.55946186e+88
 2.08046798e+104
 1.56735980e+88
 1.75552404e+75
 3.07700663e+105
 2.51882652e+106
 4.91523509e+105
 2.59938470e+96
 6.83664907e+88
 7.09486471e+97
 Inf
 Inf
 5.03112969e+106
 1.13363649e+126
 3.16567739e+96
 3.38203641e+94
 4.31823412e+144
 1.92274764e+248
 8.85949964e+188
 3.21606053e+160
 1.05517359e+200
 2.39788333e+118
 2.05006334e+113
 8.68264023e+160
 4.22164778e+137
 2.04456306e+164
 Inf
 2.74997378e+217
 6.74081217e+141
 4.97310220e+148
 3.34178393e+117
 3.12284580e+101
 5.50712224e+118
 4.48429015e+113
 9.34279675e+136
 5.69835494e+147
 2.24670668e+123
 3.83906897e+100
 3.88425733e+84
 2.14734210e+114
 6.64487198e+131
 1.28492002e+82
 5.68413780e+70
 2.43327887e+86
 8.63728069e+97
 5.44126809e+81
 1.25211056e+72
 5.21835276e+74
 1.88710492e+65
 1.24324596e+72
 3.05850864e+83
 1.93447291e+67
 8.89002727e+71
 9.01061871e+90
 4.33426823e+91
 5.09291799e+104
 2.85303937e+129
 4.96550378e+185
 7.94765190e+129
 1.21046040e+112
 3.12208566e+105
 1.77093402e+96
 5.12365773e+78
 5.45302080e+72
 1.21880141e+111
 1.31560696e+183
 2.40924162e+177
 4.10045941e+138
 1.25767362e+209
 Inf
 Inf
 1.15405337e+291
 6.75055660e+144
 1.18035742e+99
 1.13535477e+79
 1.23712080e+95
 2.33552893e+94
 7.16043716e+82
 1.55741528e+89
 2.63442007e+95
 4.07110005e+119
 5.13933770e+107
 7.13503505e+94
 7.71427592e+102
 8.83786197e+92
 2.33843358e+98
 4.90226670e+106
 2.64925720e+95
 1.26326933e+93
 1.97067531e+105
 2.77263786e+110
 7.75207960e+102
 5.16472204e+92
 6.94162413e+87
 9.07594944e+90
 2.57503357e+112
 2.35964534e+152
 9.91890350e+113
 5.89466541e+101
 3.59310532e+122
 8.70370677e+138
 4.50438986e+113
 1.17705776e+90
 3.08107916e+83
 8.21625758e+96
 6.25504017e+116
 7.60492042e+123
 2.96878200e+126
 3.12902612e+101
 5.61367153e+96
 8.35668655e+89
 9.49402148e+88
 6.19657867e+102
 5.44735524e+119
 1.07303245e+127
 4.05768645e+139
 5.41804630e+132
 5.55567863e+118
 2.56576370e+88
 1.96901020e+72
 1.82280965e+88
 3.79794270e+96
 1.88992101e+69
 4.94251952e+57
 6.98294268e+70
 2.01076260e+81
 1.11199043e+80
 2.08994567e+86
 5.02431273e+89
 3.79819814e+134
 1.10566499e+188
 4.62469414e+110
 1.02050061e+87
 2.63219008e+95
 5.96319827e+89
 4.79424928e+83
 3.10521262e+93
 7.10720692e+97
 2.14026359e+96
 9.89310666e+89
 3.94084116e+99
 7.66956302e+90
 1.47847030e+79
 3.02959367e+89
 4.01896213e+107
 2.44297255e+121
 2.41847201e+85
 7.46292633e+83
 3.38739645e+76
 4.87492043e+66
 1.09264913e+82
 3.81347961e+101
 3.36529564e+135
 1.25209165e+125
 1.82549127e+93
 3.60407387e+92
 2.15456758e+110
 2.87052223e+98
 3.26302919e+104
 4.08832472e+104
 3.88835220e+84
 3.24963777e+74
 7.16544286e+77
 5.11730721e+92
 1.32387160e+89
 1.00586933e+84
 4.46692023e+93
 1.84226879e+103
 3.19083135e+107
 5.62333879e+96
 1.99805805e+112
 2.92500611e+171
 9.88295172e+118
 2.60794985e+96
 1.11145285e+102
 1.91125389e+124
 1.04319927e+200
 2.23303379e+180
 2.52975746e+163
 9.56690773e+153
 4.81866993e+116
 3.13836354e+118
 9.86743823e+141
 4.47923744e+141
 2.17483349e+130
 6.01731828e+130
 1.34840955e+148
 4.07801292e+139
 1.54945007e+130
 2.23858235e+123
 3.16394670e+96
 2.14417701e+99
 2.14794698e+130
 1.98436888e+122
 1.46682451e+122
 3.25881650e+97
 1.08325489e+101
 1.09226449e+143
 3.74114559e+143
 4.15289707e+180
 4.31801072e+130
 3.21324612e+107
 1.39817799e+115
 5.58015604e+108
 7.08850032e+108
 6.59319562e+122
 2.93456274e+123
 7.65302050e+148
 9.47952480e+131
 1.36382125e+137
 5.28499759e+181
 4.15315785e+218
 1.01928994e+182
 4.31917876e+159
 7.11567534e+226
 8.35196908e+157
 1.68542060e+150
 2.10603544e+242
 1.22744150e+164
 1.06984603e+156
 1.14635460e+135
 6.00121632e+121
 2.86874449e+129
 1.63883773e+135
 2.38310619e+177
 5.82826517e+174
 9.21468418e+124
 4.06293150e+107
 6.19421934e+179
 2.14216630e+214
 4.17824947e+123
 Inf
 Inf
 2.22672980e+130
 6.28077872e+175
 1.22134384e+196
 2.79657978e+195
 1.31143912e+177
 3.18319093e+133
 3.00628328e+141
 2.46415420e+121
 9.60331856e+98
 5.95171050e+99
 1.28706058e+91
 3.64021874e+91
 8.19919771e+125
 9.53435695e+151
 2.69636151e+132
 1.82943886e+121
 1.54248696e+130
 1.49248216e+97
 4.61077188e+86
 2.63827906e+87
 8.26035276e+82
 3.92909734e+99
 2.16030831e+110
 1.04415989e+108
 7.28539051e+119
 1.69582189e+165
 3.77904254e+153
 4.74578309e+131
 2.16995083e+130
 2.34465326e+125
 2.45544497e+121
 3.57763603e+124
 1.69859128e+165
 3.88747634e+151
 1.69579611e+108
 4.80450960e+114
 1.49691464e+152
 1.90685963e+186
 9.70914858e+191
 2.68804440e+226
 2.10553540e+230
 1.93229985e+186
 5.41505894e+196
 7.68376962e+258
 4.36775200e+166
 9.36499780e+115
 6.55698622e+155
 1.48438460e+194
 2.14818120e+214
 7.05162090e+182
 1.04784534e+124
 7.92281445e+134
 6.62613604e+144
 1.72309200e+170
 9.44950746e+238
 1.84766537e+184
 1.49151366e+142
 2.19626834e+158
 9.85238254e+173
 8.88637541e+139
 2.69559678e+134
 6.51304597e-06
 6.52049117e-06
 6.52066995e-06
 6.51649640e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.50816720e+262
 1.00711797e+281
 4.13911847e+283
 1.52035587e+236
 9.63002493e+295
 9.99566161e+259
 Inf
 Inf
 Inf
 2.11079769e+211
 1.06165956e+175
 Inf
 Inf
 9.93179113e+288
 Inf
 1.07903079e+200
 1.73553287e+156
 2.03370628e+141
 3.14178756e+105
 7.24369817e+112
 1.26512656e+144
 7.15177984e+163
 1.72594795e+156
 1.57500142e+151
 1.88784584e+146
 1.55156822e+130
 1.05682244e+129
 3.17545316e+169
 6.70069410e+141
 4.28505581e+159
 4.92680615e+256
 1.07101913e+200
 1.12181134e+188
 6.36713606e+262
 6.08911455e+168
 9.85762566e+119
 7.53305468e+120
 2.18229333e+167
 Inf
 Inf
 Inf
 5.65855385e+291
 6.58028400e+212
 1.99892552e+288
 Inf
 Inf
 Inf
 1.93442499e+247
 4.47403489e+231
 Inf
 8.34449299e+275
 2.37485575e+191
 2.39167039e+208
 5.47744214e+202
 6.12568617e+257
 3.74425369e+237
 1.93383413e+186
 1.78707163e+222
 1.07337560e+221
 5.86470490e+174
 5.27933671e+171
 2.47788233e+151
 2.13993114e+102
 6.25858540e+114
 6.39736060e+133
 4.44237155e+149
 6.50247066e+219
 1.95864739e+248
 4.81042003e+191
 6.66864658e+155
 6.61812332e+249
 Inf
 2.76178933e+217
 1.84652679e+169
 1.24068314e+265
 1.05061823e+208
 7.88579554e+126
 1.12619225e+62
 5.76356568e+78
 Inf
 1.02869712e+226
 3.84018303e+225
 6.34108709e+234
 1.99864103e+207
 9.85516923e+185
 1.16086126e+176
 5.92300491e+158
 6.63266047e+155
 1.34871974e+158
 5.30044622e+160
 5.62664858e+187
 Inf
 Inf
 9.61849077e+131
 1.15574855e+109
 4.95080618e+109
 1.20943831e+96
 1.37631555e+102
 6.26723717e+116
 7.30470347e+119
 5.47633192e+119
 7.79358321e+105
 5.61225727e+111
 1.01923375e+147
 2.18691579e+114
 2.88421170e+84
 1.96349838e+105
 5.97179149e+130
 1.30878327e+120
 3.56813276e+110
 1.01341399e+136
 6.26219960e+179
 9.81198542e+185
 9.39882169e+171
 5.31167892e+162
 1.18160268e+180
 2.97861152e+171
 1.46658693e+128
 1.64922479e+123
 1.48233691e+163
 1.05585262e+200
 8.80739952e+188
 2.86420610e+140
 8.48641810e+130
 3.62388207e+122
 5.43168884e+128
 4.07918175e+150
 2.42787802e+154
 2.33375808e+191
 1.31473000e+138
 1.93069909e+124
 5.95196183e+153
 7.20216037e+97
 9.95948666e+95
 2.03515035e+129
 1.35014196e+118
 2.00186111e+107
 2.30284831e+103
 6.19569052e+106
 2.88405716e+86
 2.67956316e+81
 3.71991749e+93
 3.00248333e+88
 1.74504799e+99
 3.29996726e+117
 6.66561094e+124
 1.54398828e+130
 4.69438667e+95
 8.51130032e+74
 1.10088095e+102
 5.36765656e+115
 5.13171918e+104
 3.12673479e+118
 1.58095994e+113
 3.04082709e+109
 3.27417184e+104
 4.36984431e+117
 2.71703731e+108
 2.58212745e+91
 3.42171811e+113
 1.00905766e+121
 6.40950330e+133
 2.76355080e+139
 1.74149688e+119
 1.91184802e+140
 1.74178824e+119
 2.01202783e+112
 2.61522923e+124
 1.73573392e+119
 2.62557262e+104
 3.25833280e+102
 3.30390897e+117
 8.04595338e+104
 8.24992956e+95
 6.80977658e+95
 6.45005643e+90
 2.54682706e+88
 1.10317686e+82
 1.51178085e+85
 7.26802185e+99
 1.11272746e+102
 1.48524509e+103
 3.12506237e+118
 9.41503307e+112
 2.01216186e+128
 4.19235088e+137
 9.70666392e+110
 6.23470414e+175
 Inf
 1.81289259e+174
 7.15573500e+89
 9.93226933e+95
 3.16816526e+148
 6.20354338e+154
 1.14700535e+126
 1.58386190e+113
 3.90459195e+106
 1.00487821e+105
 4.39964239e+149
 6.44918562e+242
 9.89687322e+185
 2.81992615e+181
 3.01075757e+253
 5.19946885e+201
 2.33294649e+145
 1.30508090e+138
 1.90057787e+175
 6.34959570e+175
 8.53786716e+130
 6.04912278e+125
 Inf
 2.25276397e+188
 1.03147848e+87
 3.88644157e+105
 7.81873700e+98
 6.32547360e+86
 2.73134851e+90
 4.43875252e+85
 8.65846757e+83
 5.37424212e+86
 2.56471416e+91
 4.07876932e+115
 8.20680307e+114
 1.26211035e+105
 2.58861400e+112
 1.20530088e+112
 5.12685820e+104
 5.59532924e+112
 1.63081179e+135
 3.08584780e+136
 1.15677462e+109
 3.95383351e+97
 2.81431567e+114
 2.00952085e+112
 3.09642622e+106
 1.22168483e+97
 6.80509483e+95
 2.58013998e+112
 5.38184189e+208
 Inf
 Inf
 6.51401422e-06
 6.51541130e-06
 6.51570237e-06
 6.51585800e-06
 6.51576382e-06
 6.51537428e-06
 6.51515801e-06
 6.51511618e-06
 6.51503195e-06
 6.51471808e-06
 6.51449413e-06
 6.51441211e-06
 6.51466109e-06
 6.51458992e-06
 6.51524587e-06
 6.51528016e-06
 Inf
 Inf
 Inf
 6.51421430e-06
 6.51441953e-06
 6.51477985e-06
 6.51447129e-06
 6.51464229e-06
 6.51497633e-06
 6.51500206e-06
 6.51498015e-06
 6.51495944e-06
 6.51499666e-06
 6.51522579e-06
 6.51523591e-06
 6.51514137e-06
 6.51508770e-06
 6.51492663e-06
 6.51453619e-06
 6.51469903e-06
 6.51497883e-06
 6.51494637e-06
 6.51469680e-06
 6.51438845e-06
 6.51511322e-06
 6.51529359e-06
 6.51509498e-06
 6.51498955e-06
 6.51473339e-06
 6.51466109e-06
 6.51504941e-06
 Inf
 1.48492490e+256
 Inf
 6.51423785e-06
 6.51441378e-06
 6.51479290e-06
 6.51500100e-06
 6.51468605e-06
 6.51443344e-06
 6.51462529e-06
 6.51444846e-06
 6.51454917e-06
 6.51481111e-06
 6.51485648e-06
 6.51498073e-06
 6.51486111e-06
 6.51456828e-06
 6.51569149e-06
 6.51607369e-06
 6.51548264e-06
 6.51497514e-06
 6.51486223e-06
 6.51502749e-06
 6.51523126e-06
 6.51508313e-06
 6.51467731e-06
 6.51462348e-06
 6.51542074e-06
 6.51548488e-06
 6.51514971e-06
 6.51502034e-06
 6.51504666e-06
 6.51520575e-06
 6.51542657e-06
 6.51518622e-06
 6.51500941e-06
 6.51535570e-06
 6.51534568e-06
 6.51505804e-06
 6.51484515e-06
 6.51516487e-06
 6.51508810e-06
 6.51472672e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 8.17067407e+223
 2.91050310e+146
 5.08413163e+197
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51429293e-06
 6.51441829e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51442247e-06
 6.51439183e-06
 6.51463660e-06
 6.51473457e-06
 6.51444357e-06
 6.51457536e-06
 6.51463313e-06
 6.51454152e-06
 Inf
 9.87645187e+295
 Inf
 Inf
 Inf
 6.51450750e-06
 Inf
 8.35944758e+275
 Inf
 Inf
 8.32476003e+275
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51421072e-06
 6.51474212e-06
 6.51460984e-06
 6.51487173e-06
 6.51497192e-06
 6.51471416e-06
 Inf
 Inf
 6.51428505e-06
 6.51528312e-06
 6.51592413e-06
 6.51554633e-06
 6.51519705e-06
 6.51552843e-06
 6.51533668e-06
 6.50277467e-06
 6.51540548e-06
 6.51542422e-06
 6.51498008e-06
 6.51468099e-06
 6.51472067e-06
 6.51696951e-06
 6.51644005e-06
 6.51588254e-06
 6.51775107e-06
 6.51904937e-06
 6.51897448e-06
 6.51766845e-06
 6.51631203e-06
 6.51585057e-06
 6.51610223e-06
 6.51667012e-06
 6.51641244e-06
 6.51553068e-06
 6.51494250e-06
 6.51493856e-06
 6.51539993e-06
 6.51577180e-06
 6.51649354e-06
 6.51639707e-06
 6.51589641e-06
 6.51550383e-06
 6.51572367e-06
 6.51639527e-06
 6.51682312e-06
 6.51674998e-06
 6.51805905e-06
 6.51799897e-06
 6.51612520e-06
 6.51531867e-06
 6.51559163e-06
 6.51560729e-06
 6.51525022e-06
 6.51525958e-06
 6.51580585e-06
 6.51590674e-06
 6.51538522e-06
 6.51490945e-06
 6.51483422e-06
 Inf
 7.71928653e+205
 6.53993777e+242
 Inf
 Inf
 2.69262296e+297
 Inf
 6.10928656e+244
 9.89881372e+185
 Inf
 Inf
 5.49151398e+170
 1.30596519e+177
 2.43315595e+147
 7.57814088e+120
 5.02702856e+157
 1.14293832e+168
 5.08583802e+157
 1.00887567e+182
 6.65938581e+155
 8.77120181e+138
 7.30564218e+186
 Inf
 5.80771347e+52
 6.04199184e+47
 2.37014798e+278
 1.08029333e+221
 5.34974043e+172
 2.59978936e+219
 7.25863448e+250
 9.65246413e+295
 6.51378345e-06
 6.51495717e-06
 1.00526287e+159
 6.45369260e+212
 Inf
 1.21126865e+223
 9.77946090e+178
 2.60344934e+219
 Inf
 Inf
 Inf
 Inf
 1.98775774e+275
 Inf
 Inf
 Inf
 Inf
 Inf
 1.01806179e+260
 1.48217927e+166
 1.79569228e+235
 Inf
 Inf
 7.76390693e+240
 7.28223564e+250
 3.25120450e+174
 2.66019169e+203
 6.06803068e+247
 7.53566115e+205
 1.45075721e+225
 2.20467045e+250
 2.68619821e+252
 2.11260530e+230
 Inf
 Inf
 Inf
 4.75417440e+274
 Inf
 6.51426184e-06
 6.51455873e-06
 Inf
 Inf
 6.51418372e-06
 6.51457064e-06
 Inf
 2.63326299e+185
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51436903e-06
 6.51440146e-06
 6.51481255e-06
 Inf
 6.51425759e-06
 6.51456226e-06
 6.51487908e-06
 6.51439556e-06
 6.51467997e-06
 Inf
 Inf
 Inf
 1.44464437e+298
 Inf
 Inf
 2.88002781e+239
 2.74350433e+221
 1.99065930e+192
 1.78918602e+222
 Inf
 Inf
 3.52577210e+276
 4.66115637e+222
 1.93488414e+244
 7.04281502e+241
 Inf
 Inf
 1.41726364e+228
 3.57867640e+260
 6.51370236e-06
 6.51493187e-06
 6.51527492e-06
 6.51497138e-06
 6.51523439e-06
 6.51517452e-06
 6.51501047e-06
 6.51520053e-06
 6.51540543e-06
 6.51570793e-06
 6.51553438e-06
 6.51516040e-06
 6.51507387e-06
 6.51526147e-06
 6.51519281e-06
 6.51501256e-06
 6.51490601e-06
 Inf
 7.07621545e+149
 3.82390556e+132
 2.19066623e+158
 3.19916250e+160
 Inf
 6.51377375e-06
 6.51465939e-06
 6.51477806e-06
 6.51472287e-06
 6.51482583e-06
 6.51512241e-06
 Inf
 Inf
 Inf
 6.51448848e-06
 1.80962561e+262
 3.62425206e+294
 1.96817272e+275
 6.84756269e+161
 2.66943094e+226
 Inf
 Inf
 Inf
 6.51411224e-06
 6.51444734e-06
 6.51468796e-06
 6.51470615e-06
 6.51452014e-06
 6.51454792e-06
 6.51521721e-06
 6.51522618e-06
 6.51497870e-06
 6.51449541e-06
 6.51449918e-06
 6.51469663e-06
 6.51491373e-06
 6.51454836e-06
 6.51443907e-06
 6.51505884e-06
 3.32130371e+169
 1.97092591e+106
 3.59893340e+122
 2.37297791e+177
 4.45421242e+216
 1.04488443e+219
 3.91972346e+154
 5.25784700e+171
 1.49432670e+236
 5.54136921e+224
 1.02003305e+182
 5.67849657e+112
 5.23884736e+98
 4.33041969e+146
 1.19354327e+203
 6.27977831e+140
 8.68528380e+103
 8.21821020e+107
 2.50563228e+117
 7.60624859e+123
 2.76074696e+156
 1.59613227e+155
 2.06544892e+127
 2.64448409e+111
 4.93710868e+88
 3.64975153e+75
 1.23521254e+92
 2.18449790e+95
 1.53443366e+81
 5.14342402e+91
 2.37881114e+115
 7.76231196e+126
 3.14651671e+118
 9.11460753e+124
 5.43517226e+128
 1.64946361e+123
 5.98455525e+121
 4.36484374e+144
 2.90557074e+144
 6.03610630e+130
 1.71274648e+156
 1.19488114e+149
 1.99190576e+122
 7.31543923e+119
 1.66942489e+114
 2.76011095e+116
 2.66041291e+221
 Inf
 3.80083316e+237
 2.13602314e+176
 1.25281539e+215
 5.86471027e+195
 9.61493666e+153
 6.51478933e-06
 6.52044402e-06
 6.51662492e-06
 Inf
 6.00251583e+203
 5.33693101e+162
 2.43241391e+161
 6.52437338e+219
 5.15744086e+197
 1.93158876e+157
 6.81546495e+209
 3.10719328e+194
 1.31522341e+138
 1.29584123e+177
 Inf
 Inf
 Inf
 9.83873541e+295
 1.20015827e+157
 1.25719848e+125
 2.01915419e+141
 4.20164183e+140
 4.86327791e+199
 1.34633649e+183
 8.92351600e+100
 1.68799693e+110
 1.68943568e+165
 2.40855359e+197
 1.29160757e+261
 4.07665643e+299
 1.17416516e+191
 8.71141703e+206
 6.51749699e+212
 1.13343661e+202
 2.94431700e+165
 2.46778556e+202
 Inf
 3.77029182e+237
 4.97949801e+183
 4.15485900e+218
 5.17978331e+227
 5.25936810e+178
 5.72782226e+190
 6.11023752e+257
 6.51379479e-06
 6.51534083e-06
 Inf
 2.87965624e+239
 4.19171393e+218
 5.94766148e+203
 2.39686268e+251
 Inf
 Inf
 2.82507328e+229
 Inf
 2.40962492e+263
 5.97400420e+245
 Inf
 Inf
 Inf
 Inf
 1.83231589e+235
 1.04756610e+219
 Inf
 Inf
 2.17145205e+242
 3.04446592e+253
 7.84343050e+233
 8.88815437e+263
 7.85263480e+233
 3.39246687e+131
 1.81454793e+97
 1.23356116e+111
 2.39517659e+147
 1.10989896e+188
 6.49609978e+212
 1.94955716e+160
 1.14357176e+168
 3.49578958e+189
 2.47999146e+202
 1.08484604e+201
 5.93220681e+203
 Inf
 Inf
 9.18662734e+252
 1.15337962e+197
 1.44850623e+225
 6.90313067e+209
 6.99059268e+221
 8.18696018e+275
 Inf
 1.14658839e+274
 2.43426682e+177
 4.10045484e+138
 1.42667422e+225
 1.12053331e+291
 1.72324199e+193
 1.73867088e+257
 4.48291459e+281
 5.47755265e+196
 2.51263063e+143
 1.88469799e+146
 7.39597402e+166
 2.34847671e+201
 2.48490883e+202
 4.99016807e+200
 1.49432722e+181
 5.00949686e+148
 7.07287284e+176
 1.18634715e+157
 4.46589513e+149
 1.27458788e+261
 Inf
 1.19059477e+160
 9.46763386e+183
 2.68366928e+226
 7.48734931e+215
 1.08699244e+201
 3.97981716e+127
 5.97461594e+139
 4.10573067e+126
 1.65259811e+143
 3.40692821e+135
 3.13448177e+101
 2.61275884e+104
 4.85860994e+124
 2.29991069e+145
 2.81981370e+128
 2.66623840e+113
 1.59349242e+111
 1.13534946e+126
 3.01604671e+170
 9.37334891e+171
 2.93080686e+165
 3.49383676e+189
 1.38953909e+228
 8.99758777e+252
 1.24836384e+232
 4.38330015e+236
 6.98894173e+266
 4.07201539e+271
 1.51856109e+236
 Inf
 Inf
 8.25288211e+223
 1.76355476e+189
 1.82013007e+216
 5.17666959e+201
 3.49972819e+254
 6.44132512e+262
 1.51714209e+236
 2.23526929e+188
 1.11962433e+188
 9.71953659e+232
 Inf
 6.51406426e-06
 6.51486189e-06
 6.51516878e-06
 6.51514258e-06
 6.51492331e-06
 6.51481551e-06
 6.51514670e-06
 6.51524165e-06
 6.51524542e-06
 Inf
 1.04222739e+271
 Inf
 1.90811050e+245
 4.80895402e+191
 2.70000957e+278
 6.38129604e+234
 2.40710325e+208
 8.06411450e+223
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