6.51648978e-06
 6.51622685e-06
 6.51595642e-06
 6.51572683e-06
 6.51584767e-06
 6.51618225e-06
 6.51644519e-06
 6.51632818e-06
 6.51600243e-06
 6.51619235e-06
 6.51647317e-06
 6.51656736e-06
 6.51603960e-06
 6.51551462e-06
 6.51535201e-06
 6.51539124e-06
 6.51549397e-06
 6.51551306e-06
 6.51540512e-06
 6.51513419e-06
 6.51472344e-06
 6.51449349e-06
 6.51489177e-06
 6.51528749e-06
 6.51518840e-06
 6.51487197e-06
 6.51499620e-06
 6.51526605e-06
 6.51509886e-06
 6.51491099e-06
 6.51527161e-06
 6.51568287e-06
 6.51632526e-06
 6.51679269e-06
 6.51598238e-06
 6.51525581e-06
 6.51500898e-06
 6.51532878e-06
 6.51543636e-06
 6.51513679e-06
 6.51481824e-06
 6.51477530e-06
 6.51491772e-06
 6.51464816e-06
 6.51494351e-06
 6.51523887e-06
 6.51491145e-06
 6.51576647e-06
 6.51552344e-06
 6.51506043e-06
 6.51534710e-06
 6.51544583e-06
 6.51539031e-06
 6.51562543e-06
 6.51591996e-06
 6.51609276e-06
 6.51606657e-06
 6.51565790e-06
 6.51590503e-06
 6.51640697e-06
 6.51592665e-06
 6.51579728e-06
 6.51599292e-06
 6.51619244e-06
 6.51622867e-06
 6.51583221e-06
 6.51569238e-06
 6.51556325e-06
 6.51543190e-06
 6.51614327e-06
 6.51632490e-06
 6.51611565e-06
 6.51612930e-06
 6.51570231e-06
 6.51516403e-06
 6.51499381e-06
 6.51595926e-06
 6.51602260e-06
 6.51643659e-06
 6.51719836e-06
 6.51650486e-06
 6.51592497e-06
 6.51628191e-06
 6.51654852e-06
 6.51623655e-06
 6.51613325e-06
 6.51636263e-06
 6.51589689e-06
 6.51584634e-06
 6.51642436e-06
 6.51613267e-06
 6.51590523e-06
 6.51611243e-06
 6.51657080e-06
 6.51617183e-06
 6.51571310e-06
 6.51595400e-06
 6.51568293e-06
 6.51515489e-06
 6.51467253e-06
 6.51454247e-06
 6.51503425e-06
 6.51512288e-06
 6.51485959e-06
 6.51451915e-06
 6.51470154e-06
 6.51501833e-06
 6.51502680e-06
 Inf
 Inf
 6.51426806e-06
 6.51447513e-06
 6.51462400e-06
 6.51453251e-06
 Inf
 Inf
 Inf
 6.51418176e-06
 6.51468070e-06
 6.51491559e-06
 6.51480957e-06
 6.51477379e-06
 6.51468993e-06
 6.51460555e-06
 6.51458691e-06
 6.51470785e-06
 6.51496976e-06
 6.51506076e-06
 6.51492663e-06
 6.51468104e-06
 6.51469800e-06
 6.51457788e-06
 6.51441869e-06
 6.51455590e-06
 6.51476449e-06
 6.51493835e-06
 6.51487137e-06
 6.51440932e-06
 6.51462989e-06
 6.51467678e-06
 6.51460693e-06
 6.51468636e-06
 6.51483854e-06
 6.51497662e-06
 Inf
 6.51434798e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51419562e-06
 6.51462167e-06
 6.51476270e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51421607e-06
 Inf
 2.42057101e+263
 6.51376174e-06
 6.51446427e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.12617378e+217
 1.99401054e+207
 4.13669027e+255
 3.79782248e+228
 Inf
 2.39155354e+201
 2.58125341e+183
 Inf
 1.52375770e+236
 Inf
 6.51436944e-06
 Inf
 Inf
 Inf
 1.43961528e+293
 Inf
 Inf
 Inf
 2.21564676e+258
 3.34566510e+205
 1.98637273e+192
 9.49888973e+152
 3.78299573e+225
 Inf
 Inf
 1.69322601e+220
 6.60458823e+204
 Inf
 Inf
 1.04044801e+254
 9.94940934e+259
 Inf
 Inf
 Inf
 5.24946676e+279
 8.92018906e+160
 3.28064267e+264
 Inf
 1.01536511e+281
 Inf
 Inf
 Inf
 1.77539305e+257
 7.18742989e+176
 1.85937239e+286
 Inf
 6.02777407e+245
 2.73548389e+217
 1.27360943e+237
 2.38380299e+263
 2.69049158e+252
 5.55953529e+208
 1.14728497e+197
 2.70339437e+278
 3.80676622e+228
 4.07269122e+192
 8.71381687e+206
 1.49563183e+181
 1.01370115e+182
 1.05213034e+169
 5.30886818e+162
 2.37776949e+153
 5.55615912e+134
 1.58055214e+159
 1.91072407e+175
 1.66976393e+172
 5.02171747e+185
 2.81980915e+181
 1.44399328e+225
 2.80807636e+195
 1.22574195e+196
 9.95569084e+280
 7.02873041e+266
 5.18097559e+279
 2.23531742e+158
 4.30380640e+130
 8.76655799e+252
 6.36354607e+248
 1.00684712e+142
 8.77899339e+147
 3.28306283e+205
 Inf
 Inf
 1.05443629e+208
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51440019e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51431117e-06
 6.51452749e-06
 6.51464101e-06
 Inf
 6.51438253e-06
 6.51457991e-06
 Inf
 Inf
 Inf
 6.51431557e-06
 6.51459519e-06
 Inf
 Inf
 Inf
 6.51437988e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51438578e-06
 6.51457960e-06
 6.51463639e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51448346e-06
 Inf
 Inf
 6.51430059e-06
 6.51479680e-06
 Inf
 6.51443431e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51435955e-06
 Inf
 2.15106538e+230
 3.51718924e+254
 8.03806206e+251
 2.30501738e+199
 2.69177843e+226
 1.99655265e+207
 2.68367019e+267
 9.08970386e+282
 5.37943119e+172
 1.73002970e+257
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.03729507e+271
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51419355e-06
 Inf
 Inf
 Inf
 Inf
 1.05015106e+254
 Inf
 Inf
 6.51424614e-06
 6.51466417e-06
 Inf
 Inf
 Inf
 6.51433819e-06
 Inf
 6.51444066e-06
 6.51446811e-06
 Inf
 6.51444302e-06
 6.51451028e-06
 6.51460437e-06
 6.51454486e-06
 6.51446435e-06
 6.51451308e-06
 6.51034740e-06
 Inf
 Inf
 6.51427013e-06
 6.51447587e-06
 6.51455832e-06
 6.51463577e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51427395e-06
 6.51491926e-06
 6.51528886e-06
 6.51529758e-06
 Inf
 Inf
 Inf
 Inf
 6.51433649e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51434166e-06
 6.51456614e-06
 6.51462498e-06
 6.51450733e-06
 6.51451216e-06
 6.51467986e-06
 Inf
 6.51442850e-06
 6.51447641e-06
 6.51445478e-06
 6.51471145e-06
 6.51479146e-06
 6.51464723e-06
 6.51515391e-06
 6.51542770e-06
 6.51513378e-06
 6.51467843e-06
 6.51510497e-06
 6.51498647e-06
 6.51469690e-06
 6.51560618e-06
 6.51599587e-06
 6.51539718e-06
 6.51473847e-06
 6.51452008e-06
 Inf
 6.51424464e-06
 6.51454136e-06
 6.51473625e-06
 6.51476959e-06
 6.51516237e-06
 6.51522565e-06
 6.51770605e-06
 6.51804176e-06
 6.51590449e-06
 6.51479585e-06
 6.51479120e-06
 6.51472512e-06
 6.51526545e-06
 6.51533032e-06
 6.51503424e-06
 6.51482428e-06
 6.51492443e-06
 6.51462385e-06
 6.51446139e-06
 6.51470947e-06
 6.51462660e-06
 6.51463358e-06
 6.51479467e-06
 6.51501047e-06
 6.51497290e-06
 6.51481184e-06
 6.51484128e-06
 6.51501854e-06
 6.51543205e-06
 6.51551887e-06
 6.51515502e-06
 6.51480960e-06
 6.51485772e-06
 6.51479623e-06
 6.51486425e-06
 6.51494147e-06
 6.51501432e-06
 6.51530871e-06
 6.51524997e-06
 6.51507725e-06
 6.51493797e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51439132e-06
 6.51467117e-06
 Inf
 6.51433897e-06
 6.51451124e-06
 6.51467552e-06
 6.51475299e-06
 6.51494544e-06
 6.51479395e-06
 6.51463521e-06
 6.51502018e-06
 6.51507136e-06
 6.51499076e-06
 6.51524690e-06
 6.51529465e-06
 6.51572347e-06
 6.51593412e-06
 6.51567968e-06
 6.51553125e-06
 6.51522327e-06
 6.51502351e-06
 6.51515175e-06
 6.51521032e-06
 6.51545364e-06
 6.51537726e-06
 6.51530117e-06
 6.51516400e-06
 6.51506812e-06
 6.51549724e-06
 6.51557839e-06
 6.51559583e-06
 6.51549824e-06
 6.51519404e-06
 6.51522280e-06
 6.51599455e-06
 6.51630735e-06
 6.51642644e-06
 6.51595829e-06
 6.51528538e-06
 6.51482006e-06
 6.51486683e-06
 6.51536583e-06
 6.51648435e-06
 6.51656660e-06
 6.51561471e-06
 6.51505701e-06
 6.51518042e-06
 6.51523731e-06
 6.51543885e-06
 6.51590863e-06
 6.51592770e-06
 6.51618822e-06
 6.51576317e-06
 6.51515811e-06
 6.51486534e-06
 6.51538884e-06
 6.51542430e-06
 6.51519365e-06
 6.51503529e-06
 6.51512055e-06
 6.51515318e-06
 6.50116648e-06
 6.51502603e-06
 6.51512303e-06
 6.51525403e-06
 6.51509938e-06
 6.51480322e-06
 6.51460920e-06
 6.51444930e-06
 6.51469998e-06
 6.51497062e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51435525e-06
 6.51449912e-06
 6.51443825e-06
 Inf
 Inf
 Inf
 6.51433169e-06
 6.51462291e-06
 6.51455430e-06
 6.51436446e-06
 6.51474999e-06
 6.51458588e-06
 6.51467098e-06
 6.51485832e-06
 6.51437296e-06
 6.51496879e-06
 6.51525174e-06
 6.51501085e-06
 6.51473504e-06
 6.51460462e-06
 6.51490687e-06
 6.51480617e-06
 6.51446078e-06
 6.51495246e-06
 6.51502128e-06
 6.51506851e-06
 6.51507341e-06
 6.51488177e-06
 6.51483037e-06
 6.51498962e-06
 6.51452770e-06
 6.51442510e-06
 6.51463899e-06
 6.51481431e-06
 Inf
 6.51436534e-06
 Inf
 Inf
 Inf
 6.51431471e-06
 6.51456327e-06
 6.51484214e-06
 Inf
 Inf
 6.51427499e-06
 6.51459064e-06
 6.51457274e-06
 Inf
 Inf
 Inf
 Inf
 6.51431672e-06
 6.51474983e-06
 Inf
 Inf
 Inf
 6.51414359e-06
 6.51463978e-06
 6.51518591e-06
 6.51551778e-06
 6.51538852e-06
 6.51503935e-06
 6.51471331e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51417106e-06
 6.51481690e-06
 6.51494391e-06
 6.51448956e-06
 6.51455631e-06
 6.51459489e-06
 6.51439238e-06
 6.51469169e-06
 Inf
 6.51414840e-06
 6.51458375e-06
 Inf
 Inf
 6.51420617e-06
 6.51447555e-06
 6.51473744e-06
 6.51470321e-06
 6.51464321e-06
 6.51468416e-06
 6.51452265e-06
 Inf
 6.51444727e-06
 6.51457028e-06
 Inf
 6.51417378e-06
 6.51453290e-06
 6.51490219e-06
 6.51440995e-06
 6.51454930e-06
 6.51588123e-06
 6.51640538e-06
 6.51549897e-06
 6.51469245e-06
 6.51463819e-06
 6.51480579e-06
 6.51505607e-06
 6.51525383e-06
 6.51513350e-06
 6.51473933e-06
 6.51473837e-06
 6.51498416e-06
 6.51491856e-06
 Inf
 6.51442863e-06
 6.51448002e-06
 6.51462021e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51439394e-06
 Inf
 Inf
 Inf
 2.78651911e+259
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51444742e-06
 Inf
 Inf
 6.51424594e-06
 Inf
 Inf
 1.32205194e+261
 1.03559832e+254
 6.69897248e+272
 4.10806335e+268
 1.21161444e+255
 4.78599743e+265
 Inf
 Inf
 2.04907055e+243
 2.60508578e+185
 1.44521082e+225
 3.07063031e+215
 4.08360797e+161
 9.96314908e+154
 5.91321400e+164
 7.85502355e+105
 2.75571433e+138
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.63161569e+260
 3.34639395e+205
 Inf
 Inf
 Inf
 Inf
 Inf
 4.78341418e+261
 2.71511573e+226
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.78582356e+267
 2.18649997e+258
 9.59427788e+238
 8.35351670e+192
 1.94888892e+248
 1.09804338e+238
 4.15767687e+255
 Inf
 Inf
 Inf
 Inf
 5.63505915e+224
 2.30846773e+200
 1.82380172e+216
 6.65519432e+167
 2.13640874e+214
 Inf
 2.16224147e+242
 5.01302108e+256
 7.09321272e+293
 1.21478171e+255
 3.85453037e+225
 1.45514565e+225
 1.68146682e+172
 4.58925841e+222
 1.17873194e+279
 9.61542862e+238
 Inf
 2.29551675e+280
 5.42059072e+145
 7.39498216e+166
 1.91254374e+244
 4.22225596e+180
 1.80828829e+181
 6.03649071e+139
 7.95379153e+134
 1.92057944e+144
 1.04171159e+124
 2.12617155e+136
 8.19364607e+192
 4.02467958e+299
 Inf
 1.01424804e+281
 9.83187638e+178
 4.31713151e+159
 3.45075834e+168
 2.14758809e+258
 Inf
 Inf
 6.53716577e+262
 9.99152052e+173
 2.21170196e+167
 2.71799513e+212
 9.55354225e+170
 6.40957473e+194
 9.95272882e+280
 Inf
 Inf
 1.24236778e+196
 Inf
 Inf
 6.68958202e+204
 5.12902823e+279
 Inf
 7.06068163e+266
 Inf
 Inf
 Inf
 1.46508258e+256
 1.61018769e+269
 Inf
 Inf
 Inf
 Inf
 Inf
 1.96062012e+227
 4.22594964e+220
 4.76130785e+265
 2.18607668e+258
 Inf
 4.14775861e+268
 Inf
 6.51392551e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.86088322e+288
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.41980116e+228
 3.12714941e+136
 2.78148532e+138
 2.32327930e+191
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51421037e-06
 Inf
 Inf
 Inf
 6.51418654e-06
 6.51457645e-06
 Inf
 Inf
 6.51437100e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51631994e-06
 6.53004532e-06
 6.53031664e-06
 6.52264878e-06
 6.51759824e-06
 6.51567580e-06
 6.51501201e-06
 6.51464755e-06
 6.51457937e-06
 Inf
 Inf
 6.51428915e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 2.07221392e+288
 2.89629409e+187
 1.49214505e+142
 3.47047309e+113
 2.45793256e+106
 1.95215617e+168
 Inf
 4.41924905e+236
 4.05520816e+271
 Inf
 Inf
 Inf
 6.51399177e-06
 Inf
 9.13308466e+263
 Inf
 Inf
 Inf
 Inf
 4.53066440e+146
 6.00824327e+66
 4.01538797e+94
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51428132e-06
 6.51510536e-06
 Inf
 Inf
 Inf
 6.51427157e-06
 6.51450197e-06
 6.51461102e-06
 6.51447580e-06
 6.51482723e-06
 6.51533721e-06
 6.51525039e-06
 6.51495826e-06
 6.51470380e-06
 6.51476648e-06
 6.51469392e-06
 6.51452113e-06
 6.51455874e-06
 6.51477701e-06
 6.51478403e-06
 6.51462034e-06
 Inf
 Inf
 6.51427318e-06
 6.51460093e-06
 6.51458628e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.53034330e+281
 Inf
 Inf
 1.20942223e+223
 2.40500491e+251
 Inf
 Inf
 Inf
 Inf
 1.72249066e+206
 1.20876628e+203
 1.60076485e+159
 7.41782278e+166
 3.81310061e+206
 2.64872736e+150
 2.18816047e+114
 3.26727366e+102
 1.14698817e+109
 4.34953928e+146
 8.87379953e+162
 8.74727460e+188
 4.91949496e+199
 Inf
 6.51417688e-06
 6.51482372e-06
 Inf
 Inf
 5.69099543e+103
 3.59573031e+122
 Inf
 Inf
 Inf
 Inf
 Inf
 4.12110064e+285
 8.13942688e+223
 5.94276368e+245
 Inf
 Inf
 Inf
 Inf
 1.19539576e+279
 5.34221064e+171
 6.34585322e+175
 2.35476486e+263
 4.13020861e+283
 7.70480818e+240
 1.29293853e+144
 7.35925764e+215
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.47078371e+248
 5.96928286e+203
 5.43073746e+196
 9.97365627e+113
 1.80615087e+74
 7.04675818e+97
 6.60436023e+131
 2.72573329e+108
 3.02060193e+123
 4.09002340e+126
 4.37111532e+144
 3.71387301e+147
 1.15178853e+176
 6.94569906e+221
 2.83423774e+181
 6.85389996e+209
 4.45998227e+177
 1.50155816e+163
 1.90658629e+227
 3.90699438e+176
 2.43295475e+147
 2.62395657e+150
 1.07979304e+150
 8.33531374e+239
 9.78777180e+158
 5.98752125e+138
 3.18468181e+160
 6.67382105e+217
 Inf
 Inf
 6.51409722e-06
 6.51436790e-06
 6.51478139e-06
 Inf
 Inf
 6.51426727e-06
 6.51499821e-06
 6.51525939e-06
 6.51532502e-06
 6.51582092e-06
 6.51568005e-06
 6.51576686e-06
 6.51623473e-06
 6.51553932e-06
 6.51501427e-06
 Inf
 Inf
 6.51432984e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51413095e-06
 6.51455383e-06
 Inf
 Inf
 Inf
 6.51405046e-06
 6.51497664e-06
 6.51516088e-06
 6.51563444e-06
 6.51644431e-06
 6.51621424e-06
 6.51544572e-06
 6.51492038e-06
 6.51494156e-06
 6.51506903e-06
 6.51474631e-06
 6.51474106e-06
 6.51518013e-06
 6.51527505e-06
 6.51592848e-06
 6.51693185e-06
 6.51635298e-06
 6.51549920e-06
 6.51502364e-06
 6.51489711e-06
 6.51506490e-06
 6.51512705e-06
 6.51535889e-06
 6.51559227e-06
 6.51542267e-06
 6.51695608e-06
 6.51742819e-06
 6.51578400e-06
 6.37711862e+151
 2.56714557e+185
 6.51340195e-06
 6.51481059e-06
 6.51481719e-06
 6.51460382e-06
 6.51454272e-06
 6.51456501e-06
 6.51455178e-06
 6.51477441e-06
 6.51509496e-06
 6.51499865e-06
 6.51502588e-06
 6.51518089e-06
 6.51490898e-06
 6.51545784e-06
 6.51660143e-06
 6.51693836e-06
 6.51682933e-06
 6.51607536e-06
 6.51632980e-06
 6.51774834e-06
 6.51719965e-06
 6.51686108e-06
 6.51684778e-06
 6.51636541e-06
 6.51634108e-06
 6.51678397e-06
 6.51689191e-06
 6.51658278e-06
 6.51639928e-06
 6.51639182e-06
 6.51647531e-06
 6.51608242e-06
 6.51553253e-06
 6.51537216e-06
 6.51554332e-06
 6.51563476e-06
 6.51582750e-06
 6.51541099e-06
 6.51497022e-06
 6.51552478e-06
 6.51539673e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51414159e-06
 6.51464868e-06
 6.51495948e-06
 6.54765440e+243
 2.68391845e+252
 Inf
 6.51428921e-06
 6.51482120e-06
 6.51603588e-06
 6.51622278e-06
 Inf
 7.25929952e+293
 6.51374474e-06
 6.51478526e-06
 6.51471385e-06
 6.51468911e-06
 6.51486592e-06
 6.51475334e-06
 6.51481098e-06
 6.51500879e-06
 6.51550047e-06
 6.51565323e-06
 6.51523348e-06
 6.51479885e-06
 6.51453891e-06
 6.51526448e-06
 6.51560935e-06
 6.51521912e-06
 6.51472907e-06
 6.51525150e-06
 6.51578452e-06
 6.51552964e-06
 6.51518241e-06
 Inf
 Inf
 6.51440385e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51420213e-06
 6.51453010e-06
 6.51521838e-06
 6.51523387e-06
 6.51532418e-06
 6.51546689e-06
 6.51522583e-06
 6.51493969e-06
 6.51480225e-06
 6.51501255e-06
 6.51493006e-06
 6.51461486e-06
 6.51499079e-06
 6.51501859e-06
 6.51464330e-06
 6.51497404e-06
 6.51510953e-06
 6.51481592e-06
 6.51486321e-06
 6.51509645e-06
 Inf
 Inf
 6.51438016e-06
 6.51450330e-06
 6.51459277e-06
 Inf
 Inf
 6.51437351e-06
 Inf
 Inf
 Inf
 Inf
 4.83181975e+265
 8.86371255e+210
 3.71988634e+237
 5.00468175e+198
 2.09382567e+85
 2.10896118e+92
 3.80324589e+134
 2.53692822e+101
 1.12791658e+86
 4.01291176e+107
 4.09856492e+180
 1.58162588e+151
 2.73506435e+108
 1.92507547e+98
 7.48239139e+110
 1.03421942e+110
 1.05968370e+93
 3.75904065e+132
 3.86235301e+154
 2.35282479e+120
 2.17353095e+110
 9.93103874e+89
 1.28575122e+98
 4.21814068e+159
 5.90558514e+158
 1.35754774e+118
 3.79503807e+132
 5.62598266e+129
 4.94365870e+106
 1.69115980e+110
 4.69502127e+131
 1.51411041e+154
 6.45845395e+133
 5.88646740e+110
 3.39585755e+94
 1.20402019e+96
 3.10652378e+105
 1.06757052e+78
 3.55346169e+83
 1.26998281e+82
 1.73131766e+60
 1.79354838e+76
 1.27154271e+80
 4.10369867e+70
 7.57735718e+80
 1.35086213e+84
 1.42232363e+99
 1.80049436e+97
 1.08399342e+75
 4.87837212e+68
 1.16628205e+68
 1.00226329e+69
 1.27057338e+91
 8.25081639e+84
 7.40359887e+69
 3.74586028e+79
 3.62328026e+91
 2.73612709e+90
 2.02240356e+74
 9.97550422e+71
 7.09837895e+82
 2.85247839e+75
 3.57529295e+89
 7.47463643e+128
 6.94801242e+103
 2.17635736e+93
 4.02776091e+102
 2.34898351e+131
 2.18044833e+91
 1.00876078e+81
 3.20115011e+99
 1.43065603e+99
 1.94282285e+106
 6.15445819e+140
 2.80452819e+141
 7.71758895e+117
 2.36664195e+118
 6.66610015e+124
 1.86986361e+162
 2.09383474e+148
 1.41968022e+124
 3.03436887e+123
 5.54374144e+118
 9.02005390e+99
 1.05677616e+93
 1.33358755e+81
 9.91632474e+73
 2.92004802e+68
 1.25468904e+66
 7.82464451e+70
 1.74815598e+81
 1.78814893e+97
 4.78629409e+114
 7.83788714e+129
 1.14590289e+176
 2.77606750e+229
 3.34165492e+142
 7.89337624e+129
 5.83120849e+100
 2.17443049e+93
 9.26625113e+136
 8.75000874e+160
 5.64670727e+143
 5.84543229e+100
 4.07628633e+94
 1.21589936e+146
 1.34580865e+158
 7.63297991e+113
 5.85902532e+110
 7.51774237e+83
 1.06097672e+78
 3.97123894e+139
 4.93231103e+142
 2.90464410e+144
 4.97660501e+165
 1.76127803e+120
 1.55226219e+106
 9.30630843e+152
 1.07384650e+201
 2.82261180e+178
 2.88531966e+149
 1.50070937e+103
 1.34109673e+104
 5.79523012e+100
 2.19074970e+95
 8.15149947e+114
 1.34546870e+104
 1.90287186e+71
 6.16238358e+64
 1.35048379e+71
 1.25402410e+70
 6.03947318e+84
 9.24810646e+111
 4.97404459e+76
 5.33242734e+65
 5.83444331e+87
 5.13907492e+92
 5.57070580e+112
 Inf
 Inf
 2.47430318e+154
 3.82711626e+132
 4.37916608e+91
 4.25588313e+89
 7.78134674e+106
 3.82119028e+96
 8.78175782e+100
 5.44368043e+119
 2.58620448e+159
 2.63042377e+150
 6.51470392e+204
 Inf
 8.48066400e+125
 2.82185873e+85
 1.20556362e+113
 9.96639916e+144
 1.19204976e+149
 2.60772603e+159
 1.52396600e+154
 5.91214076e+164
 2.11368615e+176
 3.20979618e+160
 2.25152457e+123
 1.58285433e+113
 1.29989088e+119
 9.15180573e+133
 5.61431720e+143
 6.25573602e+82
 1.26939130e+82
 3.92762490e+99
 4.02096771e+82
 5.64606444e+79
 2.28799857e+83
 3.31620841e+112
 4.06896324e+155
 1.20791423e+103
 3.94467880e+69
 7.18591036e+66
 4.58550859e+82
 1.36882279e+102
 2.12099409e+92
 1.98573461e+107
 8.67444387e+213
 1.14813843e+197
 6.46180206e+150
 3.44398712e+168
 2.22079474e+142
 9.41519955e+136
 2.09918866e+176
 5.62567467e+169
 3.92209217e+109
 5.59922618e+120
 1.18427342e+149
 1.10728232e+130
 1.56526354e+151
 1.72580221e+170
 4.93574981e+122
 2.20245955e+97
 4.45209647e+133
 4.47788022e+156
 7.62216527e+128
 5.15005414e+107
 5.96703334e+99
 2.17379643e+93
 2.65245524e+78
 7.24499160e+99
 5.80513893e+164
 2.18390395e+130
 9.39224892e+93
 2.85438133e+103
 1.55117681e+112
 3.90355279e+106
 1.62082768e+94
 9.28659209e+111
 2.35692427e+131
 8.46938061e+130
 1.29950327e+140
 1.15755164e+109
 2.63760795e+99
 2.38614059e+115
 3.03316948e+130
 1.65198358e+172
 3.49382170e+164
 4.75037037e+191
 2.73192874e+212
 2.04689433e+128
 9.48878084e+153
 7.17719557e+193
 1.93224520e+182
 8.03349921e+182
 9.39316238e+171
 3.37725999e+179
 1.49215583e+194
 3.22028461e+169
 2.20888389e+158
 5.72491014e+147
 4.92437981e+198
 7.68691251e+258
 1.61284137e+231
 8.97060943e+213
 1.07203954e+221
 1.01958850e+182
 2.79642272e+156
 1.04704647e+169
 6.34246802e+175
 5.62514743e+169
 3.75056408e+186
 5.65563071e+187
 1.42779559e+124
 1.48424523e+127
 1.21609134e+123
 1.26937108e+144
 2.19926920e+188
 6.10666131e+125
 8.26574997e+107
 1.54280759e+86
 1.81536038e+76
 3.57915428e+92
 5.20690082e+98
 1.51428432e+93
 1.33420849e+101
 5.01261987e+102
 1.51606460e+93
 4.44702190e+113
 2.66884161e+122
 3.27354141e+102
 6.58533644e+141
 6.44282067e+133
 1.99251733e+105
 4.37481978e+108
 3.78328336e+132
 1.07619104e+198
 1.06309705e+200
 1.44928062e+225
 1.50265157e+194
 3.31762819e+205
 Inf
 2.23035698e+250
 3.08136709e+170
 5.44813329e+132
 1.48735689e+127
 1.90228320e+182
 2.74348635e+292
 Inf
 4.12107317e+268
 1.21040113e+149
 4.94265880e+142
 1.91163927e+182
 5.92886433e+158
 8.86431987e+139
 4.00417719e+192
 2.74213601e+259
 2.08164357e+164
 8.35956690e+125
 4.49610637e+133
 1.79307385e+216
 1.67976718e+172
 1.70054166e+108
 3.19537866e+107
 3.15216659e+96
 7.25468435e+101
 1.33958364e+118
 9.67082551e+84
 6.65882894e+69
 3.64001729e+74
 2.35105974e+71
 1.26662096e+63
 1.15362472e+90
 1.08742551e+130
 3.40527580e+111
 4.76358275e+101
 2.60666553e+93
 4.89641126e+94
 7.26995392e+142
 2.41761331e+147
 1.02295766e+118
 3.00927017e+173
 1.07913574e+201
 3.79867380e+152
 5.63625551e+123
 9.81043080e+105
 4.76591771e+116
 1.15667422e+160
 7.89646725e+160
 2.03386289e+128
 2.12866276e+136
 3.73577787e+143
 1.76937991e+99
 1.03396314e+95
 1.30430524e+183
 Inf
 Inf
 1.72853220e+193
 7.34516951e+111
 6.51280094e-06
 6.52508136e-06
 6.52442019e-06
 6.51730133e-06
 6.51532066e-06
 Inf
 Inf
 Inf
 Inf
 6.04079809e+164
 1.31373031e+119
 3.51351606e+98
 8.26063551e+85
 3.10602499e+115
 9.84762555e+115
 1.98445006e+105
 3.54820283e+158
 1.52373022e+154
 4.60519211e+110
 5.06137602e+89
 9.59952184e+84
 2.24658047e+87
 8.12331576e+114
 1.09814406e+130
 8.75221423e+147
 5.28864603e+160
 2.38388498e+131
 1.05030608e+221
 Inf
 Inf
 Inf
 Inf
 Inf
 5.72122174e+291
 5.91000357e+195
 2.21779395e+158
 1.00831269e+145
 6.61300452e+155
 1.33695676e+108
 1.35288540e+141
 3.65513533e+237
 Inf
 Inf
 5.32793627e+214
 1.11689438e+130
 1.14128920e+126
 3.61968614e+122
 2.88934172e+144
 6.92667441e+149
 7.12034191e+115
 1.55691291e+112
 2.33070968e+120
 6.51286605e+107
 2.14650225e+96
 5.60479438e+96
 3.08141127e+106
 3.02874601e+92
 8.74528051e+91
 1.25294873e+105
 5.97985568e+89
 4.39084624e+80
 3.10108607e+93
 1.20799867e+116
 3.14304065e+133
 3.39939021e+135
 8.33148076e+116
 1.01614185e+118
 4.17991590e+137
 5.45169281e+128
 2.23781302e+123
 1.54337948e+130
 2.97349492e+126
 1.68459850e+104
 4.44007850e+52
 1.50556097e+38
 1.75834970e+39
 5.44485570e+38
 4.51390340e+51
 5.68359411e+97
 1.17755392e+68
 9.57156023e+20
 2.49015544e+19
 8.46238633e+33
 1.86672180e+37
 1.76461257e+36
 1.85515854e+38
 5.04578171e+48
 2.99086790e+45
 1.86800531e+38
 6.31191791e+39
 1.20470820e+43
 1.97165370e+42
 3.79899060e+42
 2.75496207e+40
 1.26077325e+43
 6.51226218e+49
 2.38939061e+43
 4.47937827e+40
 3.52528047e+44
 1.63446960e+46
 3.71278431e+44
 1.19955137e+41
 1.57305516e+19
 8.38389809e+19
 1.89869138e+50
 2.73139119e+46
 6.59996632e+38
 2.20722328e+46
 3.34424342e+46
 2.53977357e+44
 1.40466414e+45
 3.84392721e+48
 1.51280575e+51
 4.12930658e+49
 3.05164008e+55
 1.06676907e+65
 4.00927243e+63
 2.72414363e+47
 1.55668570e+46
 5.67875532e+48
 2.72853590e+46
 7.73926424e+42
 3.63669042e+42
 1.51211899e+43
 1.56064249e+50
 4.21105324e+57
 5.52145549e+53
 3.77673305e+55
 8.83609434e+62
 7.33571433e+69
 1.24221242e+76
 4.01161332e+66
 1.29345969e+65
 1.12036739e+79
 6.64559957e+69
 9.36730383e+61
 7.38474006e+50
 8.28263265e+52
 2.49823983e+59
 1.48678088e+50
 1.42534187e+51
 1.56962958e+50
 3.46428321e+53
 1.60112627e+54
 2.16516126e+42
 9.05046771e+41
 1.82101968e+45
 5.18524232e+42
 1.85850941e+47
 2.30650253e+52
 4.34323643e+55
 7.14230509e+54
 5.37443867e+55
 8.49638279e+65
 2.94786218e+59
 9.60802468e+60
 5.82255409e+65
 2.04073593e+61
 1.83056283e+59
 5.30399110e+57
 2.60227492e+71
 1.32239067e+81
 2.59515670e+82
 3.68614438e+70
 9.65014634e+56
 2.71097138e+59
 1.28427418e+68
 1.71359804e+65
 8.13673902e+62
 1.83202275e+59
 3.66374601e+61
 3.88712888e+69
 4.84614827e+72
 2.97525588e+76
 8.15406168e+64
 1.70304507e+62
 8.70757601e+70
 3.52689539e+81
 1.11427840e+85
 1.46243820e+80
 2.39333035e+70
 3.06551031e+58
 2.58880756e+56
 2.31705513e+55
 1.55455991e+62
 6.27005332e+63
 1.01187960e+53
 8.08725554e+46
 2.84826491e+47
 2.76295956e+56
 2.94415015e+54
 3.04825775e+63
 8.71372222e+70
 4.01852070e+56
 4.95377174e+60
 7.53481211e+75
 4.86019809e+94
 5.24721187e+145
 8.33326402e+125
 1.29499500e+91
 1.17557110e+68
 1.07410834e+65
 1.20816133e+62
 1.49660499e+52
 4.03536288e+71
 1.80489477e+76
 1.14361966e+66
 1.29453905e+64
 3.53957249e+55
 2.66701446e+55
 3.26907900e+66
 4.62158087e+75
 3.64967653e+74
 2.38108052e+68
 2.51859285e+59
 4.67299439e+52
 1.95834705e+54
 2.96460859e+66
 1.07162322e+75
 1.12897256e+70
 1.86616753e+64
 8.37069134e+58
 8.29397812e+49
 1.72575219e+46
 2.58847775e+46
 1.43216375e+47
 9.24957994e+44
 1.39532594e+42
 1.73436345e+45
 5.67470913e+48
 1.08606205e+52
 1.22704678e+61
 4.29060101e+61
 1.05644029e+59
 1.42975944e+62
 2.34432206e+63
 9.34015519e+61
 1.10744599e+62
 7.04744095e+65
 5.34723757e+69
 2.14591463e+68
 6.14227808e+58
 5.93845509e+46
 2.22730479e+50
 2.91453790e+64
 2.02343214e+60
 5.44366727e+54
 2.79416991e+51
 1.59615087e+47
 6.89740288e+50
 1.63245100e+63
 1.49690008e+57
 1.22692687e+54
 8.81492902e+60
 5.72702467e+63
 5.67692585e+71
 1.04985379e+61
 5.16363049e+47
 2.84132538e+55
 3.76607247e+95
 1.76218765e+179
 5.94047599e+164
 2.00214939e+105
 6.17924362e+91
 1.76751383e+85
 1.98055564e+75
 2.84892858e+84
 1.74210088e+99
 2.08915761e+104
 4.45683678e+85
 6.66022788e+69
 1.14065874e+66
 1.66208274e+80
 1.33612712e+94
 3.33771865e+80
 3.25011616e+85
 1.93510984e+94
 1.39638913e+87
 4.29790024e+77
 1.50894740e+85
 9.49746395e+98
 6.16875023e+92
 2.51218580e+107
 4.81143113e+97
 7.34850456e+91
 4.53393332e+110
 8.09519942e+88
 2.05769441e+85
 5.81561187e+97
 1.25733645e+144
 Inf
 Inf
 4.15387209e+283
 3.35331568e+205
 9.55475611e+131
 4.89955219e+198
 Inf
 6.50592304e+262
 Inf
 6.51425018e-06
 Inf
 1.47827046e+256
 4.55990792e+113
 4.92603605e+105
 6.15301002e+140
 Inf
 Inf
 1.77270332e+170
 4.04049211e+170
 1.18338094e+180
 6.51346584e-06
 6.51455524e-06
 3.42008406e+142
 1.05131028e+128
 1.89849719e+138
 1.20972015e+196
 5.42374518e+196
 1.80822047e+235
 Inf
 Inf
 Inf
 1.62489117e+269
 7.70600231e+229
 Inf
 Inf
 Inf
 6.51433877e-06
 6.51446754e-06
 Inf
 6.51448305e-06
 Inf
 2.00669519e+275
 1.83051131e+266
 3.75086038e+213
 5.25056794e+178
 2.72496125e+212
 Inf
 Inf
 8.91712472e+210
 6.51353463e-06
 6.51474377e-06
 6.51509138e-06
 6.51490810e-06
 6.51503944e-06
 Inf
 6.51401349e-06
 6.51479679e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.85120347e+195
 Inf
 Inf
 Inf
 Inf
 Inf
 7.31846018e+176
 2.07226843e+111
 5.52521413e+118
 5.73921327e+174
 1.59561994e+210
 8.45659471e+239
 Inf
 Inf
 1.90786039e+245
 1.12807827e+188
 1.29312411e+139
 3.19364014e+174
 Inf
 Inf
 9.16129594e+252
 4.57788990e+207
 1.34785313e+183
 2.34822134e+191
 3.43915668e+276
 2.59853256e+155
 2.61759792e+112
 1.55628684e+151
 Inf
 6.51390536e-06
 Inf
 Inf
 1.27351069e+265
 1.07491644e+199
 3.82401932e+225
 9.03316219e+282
 2.02035716e+288
 5.60080205e+291
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51421523e-06
 6.51472160e-06
 6.51481406e-06
 6.51477473e-06
 6.51487404e-06
 1.51182962e+187
 9.65527851e+151
 6.51336925e-06
 6.51444674e-06
 6.51515125e-06
 Inf
 Inf
 6.51414968e-06
 6.51522469e-06
 6.51511792e-06
 6.51499687e-06
 6.51461928e-06
 6.51489061e-06
 6.51503151e-06
 Inf
 4.55429758e+281
 Inf
 7.37621199e+226
 1.74667770e+170
 Inf
 Inf
 2.31352024e+290
 1.35437904e+195
 4.49266209e+149
 3.16094143e+118
 9.04719569e+108
 7.74641751e+126
 7.54594737e+120
 4.45259888e+136
 9.41848566e+170
 4.41736503e+146
 Inf
 Inf
 1.48477923e+187
 1.01152237e+165
 1.14502067e+212
 Inf
 6.51390817e-06
 Inf
 1.80681160e+189
 7.44278858e+215
 9.01702697e+282
 Inf
 2.03622418e+288
 2.85155338e+181
 1.09707564e+217
 2.67301344e+252
 4.09763578e+268
 Inf
 Inf
 Inf
 6.52637729e+277
 5.59400511e+291
 Inf
 Inf
 6.51405688e-06
 6.51459609e-06
 6.51481651e-06
 Inf
 Inf
 2.02501882e+122
 1.24813461e+125
 9.33298066e+288
 1.61766284e+231
 1.06314390e+128
 3.39474381e+135
 1.48797277e+163
 2.40012453e+177
 1.58084219e+151
 1.79703604e+118
 4.36387179e+146
 3.16962753e+238
 1.02942077e+229
 2.41221389e+152
 1.14558919e+135
 1.71480088e+156
 Inf
 Inf
 Inf
 6.51402531e-06
 6.51510501e-06
 Inf
 Inf
 9.22748035e+282
 6.28089802e+243
 1.88566544e+286
 Inf
 Inf
 2.04969859e+282
 Inf
 6.51397356e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 2.17476064e+242
 Inf
 Inf
 5.64300278e+224
 1.47507698e+128
 9.54075536e+151
 2.65667351e+111
 1.08773457e+101
 2.47361685e+163
 2.96977898e+172
 2.79216469e+156
 2.19024372e+114
 3.39878503e+94
 1.61478240e+94
 2.14315380e+130
 3.75279172e+225
 1.25609659e+265
 Inf
 Inf
 6.51441134e-06
 6.51448405e-06
 Inf
 Inf
 6.51406376e-06
 6.51442275e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.65000724e+262
 Inf
 6.51397491e-06
 Inf
 4.15843877e+271
 Inf
 Inf
 9.17202019e+282
 Inf
 3.37044741e+264
 4.02276880e+97
 8.25911961e+96
 Inf
 Inf
 6.51433918e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51400754e-06
 Inf
 Inf
 6.51416996e-06
 6.51477864e-06
 6.51478540e-06
 6.51487390e-06
 Inf
 6.51423573e-06
 6.51479459e-06
 6.51459345e-06
 Inf
 1.32671746e+140
 2.78245881e+239
 7.08277031e+189
 9.53743044e+295
 6.51380753e-06
 Inf
 1.15795276e+291
 Inf
 Inf
 6.29423528e+257
 8.37463838e+157
 2.47175377e+151
 6.20753609e+154
 3.07477595e+194
 Inf
 Inf
 Inf
 6.51403537e-06
 6.51458262e-06
 6.51462509e-06
 Inf
 Inf
 Inf
 Inf
 1.81539965e+174
 1.26363168e+95
 6.26021694e+95
 5.43137787e+119
 2.76427845e+116
 8.05011762e+121
 1.28294471e+114
 4.38591463e+108
 6.27155473e+114
 2.12022808e+136
 5.38898770e+202
 2.39630782e+208
 4.95703442e+122
 2.13995057e+84
 6.29495148e+86
 6.14284799e+92
 2.65684554e+97
 4.89323242e+185
 2.34926637e+191
 3.16922877e+93
 4.73695103e+101
 2.81850596e+114
 2.11186463e+86
 1.39008058e+66
 3.50744948e+69
 4.09450164e+75
 1.74761723e+75
 2.96278187e+70
 6.28467691e+77
 3.15678278e+107
 2.16587529e+110
 1.19731730e+103
 4.85623136e+124
 4.45932375e+141
 2.65206624e+111
 7.83918030e+106
 5.58406757e+129
 1.41423229e+124
 4.37244927e+91
 1.56933740e+98
 1.08678640e+117
 1.20679015e+112
 1.11671816e+102
 3.49789094e+98
 1.89160517e+117
 7.57150929e+113
 6.19052944e+105
 1.21352215e+116
 1.91005789e+144
 9.96939111e+106
 4.10112346e+123
 6.73827296e+209
 3.69089104e+182
 1.91551399e+227
 4.02312648e+285
 1.44783814e+256
 6.58001551e+136
 3.65017588e+116
 8.10038807e+109
 1.29389067e+98
 9.61096606e+87
 5.24975998e+74
 2.35117264e+71
 3.64268076e+74
 6.77819566e+88
 1.12520910e+126
 1.35958722e+121
 1.78486116e+92
 7.28877037e+99
 7.72758924e+102
 1.27755986e+82
 3.54416343e+81
 1.28330290e+119
 1.47152389e+142
 2.06069722e+113
 6.21363864e+106
 6.01597241e+151
 1.44588111e+277
 1.17220462e+191
 6.77495784e+146
 2.98400989e+126
 Inf
 6.51380048e-06
 6.51483946e-06
 Inf
 2.94221497e+187
 2.98217453e+171
 3.15805105e+120
 6.45372627e+136
 3.02616987e+170
 1.48034526e+122
 2.87853701e+98
 4.05644956e+126
 1.76122112e+174
 5.08238090e+102
 2.37117932e+71
 8.13793944e+64
 1.90982668e+79
 8.27210235e+81
 5.09941290e+70
 2.10550428e+84
 2.60730111e+111
 7.75270597e+126
 1.04844654e+108
 8.25693887e+95
 1.57305156e+105
 4.17103413e+120
 1.49999736e+152
 2.79706672e+178
 1.89682759e+146
 3.71531708e+147
 4.97955097e+148
 5.63340718e+143
 6.22213068e+140
 1.19510602e+131
 5.82105804e+117
 4.05606165e+107
 9.02041751e+108
 4.91877032e+106
 1.20320876e+112
 1.00644153e+105
 3.12779212e+93
 3.89677571e+105
 9.11025493e+133
 4.80107134e+116
 1.65797983e+101
 5.01289334e+102
 3.90932128e+105
 2.70789494e+108
 8.59997737e+94
 1.46707096e+80
 7.18216431e+77
 1.27354279e+83
 1.10550506e+102
 6.47939383e+107
 7.28038843e+101
 2.03837472e+101
 8.06380086e+109
 2.39453267e+115
 3.09894613e+106
 2.45262040e+106
 3.27126800e+104
 8.17881240e+114
 3.09858050e+106
 5.81374667e+88
 4.67958027e+100
 3.31247780e+131
 2.53972552e+107
 5.60016744e+112
 4.43056997e+121
 3.32587579e+79
 3.00976866e+78
 7.14920042e+111
 3.32613716e+131
 4.40376921e+108
 2.15205037e+99
 2.05583916e+148
 2.45678738e+202
 1.36467021e+118
 9.78415576e+118
 7.57483608e+113
 1.21788939e+78
 4.07439157e+81
 1.84695707e+109
 9.92797653e+181
 2.21830797e+188
 1.05797809e+108
 1.34905048e+94
 1.28394480e+138
 2.83765710e+94
 2.64600099e+76
 1.41817899e+117
 2.15210071e+126
 1.20951507e+112
 9.74427637e+119
 6.09357191e+137
 1.34302821e+158
 2.14235649e+136
 1.91160516e+117
 9.11143774e+124
 7.54808803e+127
 4.27675731e+130
 1.03870923e+124
 3.11916879e+100
 8.16743164e+114
 1.16845304e+157
 6.01398904e+139
 8.75656344e+160
 4.30338848e+159
 1.52847149e+145
 5.95077310e+152
 8.26184144e+157
 3.51985727e+145
 2.79862604e+110
 6.90793193e+110
 7.51135044e+120
 3.88902599e+109
 8.23210703e+107
 1.04171729e+128
 2.03878489e+164
 2.91707465e+144
 1.04174555e+124
 1.63645539e+135
 2.50551113e+163
 3.31460780e+142
 6.63832380e+144
 1.36783927e+137
 1.22483101e+113
 1.00893055e+121
 5.07923841e+80
 9.91472803e+73
 1.36264669e+102
 2.50074220e+117
 6.51286091e-06
 6.51477256e-06
 7.87992302e+127
 1.29971161e+138
 9.89408902e+113
 4.97535000e+79
 1.04885644e+93
 2.04937461e+148
 3.77749390e+225
 1.68154971e+172
 7.87773693e+180
 4.45758544e+216
 1.22957426e+196
 1.72896064e+262
 5.97736531e+203
 4.98246625e+198
 1.31206383e+177
 2.86680528e+127
 3.58316382e+124
 3.77607012e+167
 4.25668026e+163
 9.97194939e+141
 1.13867156e+168
 4.22294849e+140
 9.71204972e+110
 5.78080214e+203
 1.43131847e+256
 1.22889615e+164
 1.00755728e+165
 1.89119598e+134
 2.76388960e+139
 1.58827450e+113
 3.85502342e+101
 9.61806300e+110
 7.09265973e+108
 8.41368309e+130
 1.23236349e+146
 5.66487024e+111
 7.14625594e+97
 1.57084843e+113
 7.02636905e+135
 1.88141624e+139
 2.78322377e+138
 2.54752526e+183
 2.14376665e+214
 2.95035948e+204
 3.51074798e+164
 1.18656745e+90
 3.30105453e+79
 6.41946896e+93
 9.09516017e+90
 4.88984223e+105
 5.80456754e+113
 5.63232659e+96
 2.62786669e+99
 2.03820958e+113
 2.04876190e+111
 7.34299921e+118
 5.97764993e+121
 2.64110483e+111
 5.39373039e+173
 Inf
 2.12566801e+148
 5.90743955e+97
 1.14511007e+109
 7.28783201e+119
 1.82355930e+93
 4.25827497e+89
 4.91649334e+109
 2.36045047e+118
 5.51027296e+134
 3.15442824e+115
 3.85724587e+101
 3.88530505e+84
 3.92227988e+78
 3.51694093e+88
 1.52336184e+130
 1.58596988e+155
 1.55412813e+130
 2.21393659e+133
 7.87917421e+106
 1.67959291e+108
 3.68292419e+114
 2.76036078e+116
 2.10082287e+116
 1.30737610e+134
 1.30176414e+138
 3.33524891e+117
 7.09399873e+163
 2.07977377e+230
 3.81057229e+152
 2.17944182e+130
 4.90071461e+122
 1.92372963e+124
 2.35491056e+135
 1.71378869e+125
 3.20425058e+148
 8.22364012e+192
 1.28561386e+167
 7.42191568e+142
 5.24266939e+171
 4.71000288e+265
 Inf
 6.51432927e-06
 6.51481649e-06
 6.51530809e-06
 6.51567436e-06
 6.51532583e-06
 6.51487481e-06
 6.51487300e-06
 6.51576067e-06
 6.51605895e-06
 6.51580771e-06
 6.51527672e-06
 6.51489125e-06
 6.51504624e-06
 6.51545551e-06
 6.51603275e-06
 6.51638452e-06
 6.51589327e-06
 6.51545230e-06
 6.51512272e-06
 6.51482784e-06
 6.51452922e-06
 6.51475077e-06
 6.51546415e-06
 6.51603987e-06
 6.51693272e-06
 6.51673316e-06
 6.51593812e-06
 6.51530135e-06
 6.51493929e-06
 6.51647756e-06
 6.51802360e-06
 6.51852770e-06
 6.51847560e-06
 6.51657129e-06
 6.51583165e-06
 6.51546197e-06
 6.51506129e-06
 6.51464733e-06
 6.51480240e-06
 6.51488245e-06
 Inf
 Inf
 6.51430347e-06
 6.51445989e-06
 6.51501059e-06
 6.51735662e-06
 6.52001442e-06
 6.51884276e-06
 6.51615791e-06
 6.51550570e-06
 6.51611997e-06
 6.51683628e-06
 6.51808615e-06
 6.51768894e-06
 6.51721464e-06
 6.51709110e-06
 6.51789221e-06
 6.51849790e-06
 6.51825544e-06
 6.51955032e-06
 6.52069602e-06
 6.51936324e-06
 6.51699952e-06
 6.51566436e-06
 6.51545154e-06
 6.51557059e-06
 6.51541380e-06
 6.51557480e-06
 6.51603999e-06
 6.51694324e-06
 6.51709155e-06
 6.51622936e-06
 6.51535723e-06
 6.51484562e-06
 6.51467440e-06
 6.51505872e-06
 6.51525815e-06
 6.51562270e-06
 6.51547815e-06
 6.51548211e-06
 6.51561046e-06
 6.51534937e-06
 6.51611755e-06
 6.51783666e-06
 6.51748565e-06
 6.51685938e-06
 6.51650814e-06
 6.51622533e-06
 6.51598248e-06
 6.51569010e-06
 6.51540446e-06
 6.51574509e-06
 6.51676184e-06
 6.51601799e-06
 6.51554034e-06
 6.51683108e-06
 6.51836709e-06
 6.51912955e-06
 6.51865001e-06
 6.51786331e-06
 6.51671935e-06
 6.51591423e-06
 6.51594229e-06
 6.51684221e-06
 6.51710452e-06
 6.51630774e-06
 6.51568187e-06
 6.51534810e-06
 6.51507071e-06
 6.51481290e-06
 6.51503039e-06
 6.51614748e-06
 6.48780794e-06
 6.51557360e-06
 6.51481043e-06
 6.51495529e-06
 6.51515492e-06
 6.51488427e-06
 6.51676406e-06
 6.51763851e-06
 6.51748698e-06
 6.51701144e-06
 6.51597111e-06
 6.51537321e-06
 6.51561212e-06
 6.51659176e-06
 6.51762130e-06
 6.51723848e-06
 6.51670152e-06
 6.51702557e-06
 6.51698452e-06
 6.51653302e-06
 6.51659513e-06
 6.51628741e-06
 6.51566261e-06
 6.51585280e-06
 6.51652026e-06
 3.75736520e+43
 6.70223131e+11
 4.33871881e+08
 1.11667328e+10
 1.76275279e+39
 4.48439828e+41
 6.45688579e+11
 1.10564285e+09
 8.19581301e+07
 5.52448568e+08
 6.49036657e+08
 1.36481133e+09
 1.42107311e+10
 4.75247045e+08
 7.48918414e+07
 5.23646916e+07
 3.35387371e+07
 5.68689124e+07
 1.04085591e+08
 2.03740226e+11
 8.01296661e+35
 5.43664591e+49
 1.33596968e+13
 1.79402508e+07
 5.22132884e+07
 2.30828529e+07
 2.60504557e+07
 3.73662769e+07
 3.30639049e+07
 2.17409563e+07
 3.73243775e+10
 2.02008669e+34
 5.05024625e+50
 5.28523208e+12
 1.26392639e+07
 4.67632302e+07
 4.41535482e+07
 8.67520414e+06
 1.81805700e+07
 2.74359306e+07
 8.71832530e+06
 3.18357224e+08
 1.33022948e+23
 1.43853609e+31
 2.48413917e+10
 1.35227003e+07
 2.55964540e+07
 7.94504274e+06
 3.77154996e+06
 5.54650370e+06
 4.27098484e+06
 6.16556030e+04
 1.51915720e+04
 4.56392563e+14
 2.80246731e+34
 1.84223089e+07
 1.91454199e+03
 8.49782313e+03
 1.20476340e+03
 1.06699974e+03
 1.59653960e+03
 6.73918473e+03
 1.97156726e+03
 4.79742509e+03
 3.26210126e+13
 1.97270959e+44
 6.44936490e+07
 2.10473196e+03
 6.94185740e+03
 1.15948096e+03
 1.28767333e+03
 1.47027628e+03
 9.97285517e+02
 1.14947694e+03
 4.82985440e+03
 5.55878937e+13
 4.31988882e+33
 3.03494890e+06
 6.78628644e+02
 1.14201284e+03
 1.43967918e+03
 1.01383511e+03
 9.22266721e+02
 8.46851251e+02
 9.63180323e+02
 2.85140501e+03
 4.19948266e+12
 2.11777381e+36
 1.42029605e+07
 1.64372669e+03
 7.67844863e+03
 9.64964079e+02
 1.07382534e+03
 9.94879495e+02
 8.72479024e+02
 1.50551194e+03
 8.09795623e+03
 3.32026380e+13
 5.13294598e+36
 1.24077500e+07
 9.94401613e+02
 5.70029067e+03
 8.81980777e+02
 9.08934170e+02
 2.17506721e+12
 6.50335733e-06
 2.22668804e+14
 2.82208389e+08
 3.60438564e+33
 3.20405642e+15
 6.55206493e+20
 6.50708978e-06
 2.41139853e+16
 8.25623117e+07
 1.19353452e+11
 3.86242370e+08
 5.49932001e+15
 2.80073290e+22
 3.74394091e+11
 3.95188917e+10
 3.87720781e+26
 Inf
 6.51408557e-06
 8.95852304e+94
 4.36050269e+39
 1.39124687e+40
 2.37305865e+33
 7.69949439e+23
 4.64626741e+11
 9.59231546e+21
 1.02754662e+11
 1.44372761e+02
 2.04694587e+04
 4.51266933e+25
 2.26808203e+11
 2.02102356e+02
 7.36659722e+04
 4.13307330e+31
 6.51011942e-06
 6.51557552e-06
 9.12024388e+12
 2.03394442e+06
 2.40465235e+33
 1.77686747e+30
 1.15670575e+32
 6.51003859e-06
 1.13089548e+15
 1.30671669e+07
 2.21180221e+11
 1.20645712e+08
 7.77237769e+19
 3.11763249e+35
 3.34542146e+12
 8.43891601e+10
 1.05919628e+12
 1.63452340e+33
 6.50954168e-06
 5.09930399e+33
 4.49287888e+13
 7.86883075e+11
 3.58401132e+12
 2.53003632e+13
 4.71531968e+15
 9.71232107e+14
 7.72707051e+10
 4.05410452e+08
 6.95396567e+08
 3.90063883e+31
 1.20026634e+72
 1.42832641e+07
 1.66514177e+02
 4.43260596e+07
 4.21106843e+71
 2.07757119e+09
 9.54596551e+01
 1.17923111e+07
 5.00762917e+31
 6.09151884e+93
 6.51339227e-06
 6.51677954e-06
 4.31398496e+14
 9.95796607e+06
 1.09044317e+45
 6.51066379e-06
 9.89336315e+23
 1.80082010e+09
 1.58832807e+10
 9.95071371e+09
 5.33843928e+15
 3.85478363e+12
 9.82437174e+05
 4.21452670e+08
 1.92912691e+12
 1.54411293e+11
 2.85473398e+12
 8.19672359e+11
 2.71493767e+12
 1.61428497e+13
 4.43978526e+12
 3.87862447e+12
 5.53197163e+12
 3.10133389e+12
 1.89213131e+12
 7.92675143e+12
 1.40323903e+13
 7.62429690e+12
 2.46811956e+12
 6.10733698e+11
 1.56944123e+12
 2.19234410e+12
 1.09019648e+12
 1.38351742e+12
 4.82802596e+34
 6.50984357e-06
 6.67618696e+24
 1.36269097e+07
 1.09533513e+21
 6.50730502e-06
 6.51516699e-06
 6.51470318e-06
 6.51611200e-06
 6.51612030e-06
 6.51536131e-06
 6.51492593e-06
 6.51499194e-06
 Inf
 6.51419477e-06
 6.51464844e-06
 6.51476595e-06
 6.51450608e-06
 6.51485519e-06
 6.51460133e-06
 6.51451472e-06
 Inf
 Inf
 6.51435189e-06
 6.51481201e-06
 6.51481580e-06
 6.51500741e-06
 6.51505088e-06
 6.51512901e-06
 6.51504931e-06
 6.51457812e-06
 6.51508645e-06
 6.51625895e-06
 6.51618003e-06
 6.51549333e-06
 6.51506479e-06
 6.51495852e-06
 6.51511463e-06
 6.51627771e-06
 6.51623962e-06
 6.51575875e-06
 6.51548158e-06
 6.51526594e-06
 6.51515107e-06
 6.51551900e-06
 6.51668693e-06
 6.51618020e-06
 6.51545242e-06
 6.51554807e-06
 6.51555006e-06
 6.51516258e-06
 6.51490246e-06
 6.51459441e-06
 6.51473844e-06
 6.51515691e-06
 6.51521058e-06
 6.51499699e-06
 6.51454028e-06
 6.51460067e-06
 6.51468535e-06
 6.51448949e-06
 6.51513703e-06
 6.51546768e-06
 6.51520005e-06
 6.51512138e-06
 6.51508014e-06
 6.51460337e-06
 6.51470137e-06
 6.51537645e-06
 6.51544183e-06
 6.51539697e-06
 6.51621340e-06
 6.52117095e-06
 6.52100045e-06
 6.51812961e-06
 6.51937006e-06
 6.52336947e-06
 6.52430648e-06
 6.52315974e-06
 6.52010480e-06
 6.51664469e-06
 6.51529976e-06
 Inf
 6.51402012e-06
 6.51491017e-06
 6.51531057e-06
 6.51454566e-06
 6.51460700e-06
 6.51502051e-06
 6.51465585e-06
 6.51480191e-06
 Inf
 6.51449634e-06
 6.51445264e-06
 6.51513798e-06
 Inf
 6.51433310e-06
 6.51489871e-06
 6.51487888e-06
 6.51685936e-06
 6.52963527e-06
 6.52490875e-06
 6.51874014e-06
 6.51710058e-06
 6.51682511e-06
 6.51563815e-06
 Inf
 6.51422101e-06
 6.51595986e-06
 6.51625776e-06
 6.51584413e-06
 6.51548765e-06
 6.51515766e-06
 6.51500943e-06
 6.51530245e-06
 6.51589389e-06
 6.51648708e-06
 6.51620526e-06
 6.51609402e-06
 6.51560183e-06
 6.51508487e-06
 6.51477464e-06
 6.51564826e-06
 6.51569211e-06
 6.51533314e-06
 6.51504627e-06
 6.51481983e-06
 6.51487104e-06
 6.51500782e-06
 6.51492340e-06
 Inf
 2.64920449e+183
 6.54646680e+83
 3.32627964e+80
 3.12213175e+96
 3.18969796e+95
 3.10586841e+105
 1.82740449e+115
 9.02760417e+101
 4.90966871e+94
 4.07540896e+104
 7.64643689e+117
 4.08370976e+126
 6.51298698e-06
 6.51471850e-06
 5.99256637e+100
 2.29840839e+103
 4.02805763e+138
 9.42681255e+172
 1.31038093e+140
 7.57486253e+127
 8.66001661e+188
 Inf
 6.40265223e+248
 1.10030481e+198
 1.83822256e+184
 7.82171022e+72
 1.15117424e+81
 6.32471361e+249
 2.86701037e+190
 1.72356175e+165
 2.28497874e+200
 5.52242487e+291
 2.42546431e+251
 2.96368182e+204
 4.44614842e+231
 3.76596611e+210
 3.91613604e+154
 1.59237543e+113
 4.08988899e+94
 5.15158535e+92
 8.18540605e+107
 2.48467144e+105
 3.24547739e+97
 2.18852304e+95
 2.16195614e+91
 2.03098939e+101
 1.29480290e+119
 1.41036353e+124
 1.34839218e+104
 2.13076958e+108
 7.83241221e+106
 6.26809332e+114
 4.56872737e+110
 1.34996579e+94
 7.47061888e+110
 6.59748871e+122
 3.63882981e+116
 3.07010593e+136
 9.89096526e+113
 2.59546374e+112
 2.95897913e+126
 5.14741785e+107
 1.65048314e+108
 2.18727290e+142
 1.00498426e+145
 1.28912321e+114
 5.24062141e+98
 8.97090206e+99
 1.24618651e+107
 8.38094026e+89
 2.76586863e+72
 2.10368269e+71
 1.96462288e+107
 3.95217067e+192
 3.39653408e+193
 1.13445204e+162
 2.11683852e+104
 7.77576284e+93
 4.92511727e+109
 1.00659858e+97
 2.18774390e+97
 5.17423400e+91
 4.73934267e+45
 1.22806555e+52
 5.20052294e+128
 1.54557394e+130
 7.54879964e+110
 3.26340854e+90
 9.71247044e+105
 2.66226269e+122
 3.21121053e+95
 2.62674254e+99
 7.31334700e+118
 5.39522165e+115
 2.84392697e+149
 1.13371925e+197
 7.76784413e+132
 4.58802950e+110
 1.32880389e+132
 1.79050699e+118
 1.12311680e+80
 2.27358878e+119
 Inf
 Inf
 4.51216697e+177
 8.99219869e+137
 2.34864255e+125
 2.62482581e+124
 1.07265909e+150
 9.54121374e+153
 1.05358669e+128
 2.41178645e+161
 1.72970340e+170
 9.79386851e+185
 6.66332620e+155
 4.96641552e+105
 3.81988555e+96
 1.12714948e+135
 1.24720171e+237
 1.28291660e+209
 5.42586734e+52
 5.10128959e+48
 4.64250407e+135
 1.30098802e+140
 2.79596058e+110
 4.65761656e+82
 7.06582007e+70
 6.43114365e+79
 8.77786903e+66
 7.78254543e+67
 9.82503672e+95
 9.34827451e+112
 1.08694240e+133
 1.05756038e+129
 5.62892693e+120
 9.76805157e+119
 2.17333737e+110
 9.00140041e+99
 6.82660198e+149
 1.39334471e+102
 1.27731104e+82
 4.80267519e+135
 1.48803735e+163
 6.99159842e+182
 1.16026008e+176
 3.69750833e+87
 4.65349686e+41
 7.06850854e+54
 2.72767756e+127
 1.10195466e+130
 5.14823361e+104
 1.92308118e+98
 9.30107316e+111
 1.66621652e+193
 6.37467796e+262
 3.71180653e+182
 4.96452949e+198
 1.50318222e+236
 2.40036697e+153
 1.32320767e+38
 8.75036647e+44
 1.41991139e+231
 4.34529826e+159
 2.69998431e+132
 1.84212415e+149
 4.21257927e+137
 1.48692844e+60
 1.34043020e+61
 4.43952463e+84
 1.78655465e+78
 7.20079360e+48
 2.33561732e+53
 6.51912262e+182
 1.08535390e+41
 7.90197398e+34
 2.01757464e+69
 4.01262235e+39
 1.81556213e+44
 6.46015119e+80
 1.17194661e+68
 1.51915998e+69
 4.97596621e+87
 5.60949176e+95
 1.04498874e+129
 2.46686927e+106
 3.84275256e+80
 1.82113630e+84
 3.46438392e+82
 5.89346649e+121
 1.20145663e+164
 1.69880980e+108
 1.24283176e+125
 1.58354185e+155
 3.09879034e+136
 4.07250981e+107
 1.20877214e+96
 6.25298813e+116
 4.17832561e+137
 6.43687908e+133
 8.89793573e+92
 3.10289234e+105
 3.90707069e+127
 1.88728288e+31
 1.44056828e+32
 2.73595882e+23
 4.14914906e+24
 4.27460193e+142
 4.41922213e+125
 7.54130140e+110
 1.55537589e+151
 8.72233938e+188
 1.73824014e+170
 4.50286329e+141
 2.38759088e+177
 1.49153321e+194
 1.36447352e+148
 5.98171275e+148
 1.57792920e+147
 1.88521467e+134
 5.45729840e+127
 1.81325656e+97
 9.93553583e+78
 3.91127023e+97
 1.56630583e+155
 5.89997132e+158
 2.37598732e+153
 1.46116766e+166
 2.92450482e+204
 8.73106303e+206
 8.96626710e+162
 3.79376162e+225
 Inf
 8.19346047e+251
 1.39085842e+27
 2.49317995e+29
 6.32764723e+186
 7.39613174e+119
 1.21849778e+116
 2.67325979e+132
 1.51554152e+95
 5.43093699e+90
 1.06162653e+127
 5.60388336e+143
 1.91220758e+182
 2.21843762e+188
 1.81402770e+179
 5.98122992e+244
 1.19572896e+180
 7.22424394e+97
 1.81351873e+95
 4.37803404e+48
 2.12607591e+63
 9.69434014e+218
 2.63647180e+159
 9.87169758e+105
 1.04798969e+57
 1.63407359e+108
 Inf
 Inf
 4.30092956e+287
 3.53709147e+59
 3.29365984e+58
 4.12385129e+188
 Inf
 9.65816492e+65
 4.76052771e+54
 1.38825454e+181
 1.73612158e+170
 1.03605412e+208
 1.49577737e+142
 8.68731560e+103
 1.35065848e+141
 1.17560197e+223
 2.30798833e+200
 2.58057281e+155
 7.28891793e+156
 3.01080068e+70
 9.88280821e+63
 1.28599898e+85
 3.10122720e+118
 2.87943368e+204
 4.28077774e+163
 1.93946179e+124
 1.08026986e+104
 2.61498175e+104
 2.03999846e+101
 3.12604744e+115
 2.19894490e+97
 3.38299735e+94
 3.16580381e+148
 1.59338127e+155
 2.56187127e+155
 4.81975347e+116
 1.55091697e+106
 1.86511430e+109
 1.34949431e+94
 2.03409103e+113
 4.36662580e+111
 1.32329638e+110
 1.29063011e+91
 5.38818681e+86
 5.49713018e+45
 9.06079716e+45
 5.99653556e+114
 5.58252982e+143
 5.45867060e+128
 2.10720482e+116
 3.03405900e+130
 1.63926697e+135
 4.35912906e+188
 Inf
 1.84691996e+216
 4.95608702e+124
 4.27324913e+130
 6.58823243e+155
 1.00270326e+226
 1.60614352e+231
 6.51929186e+133
 9.14975037e+124
 9.81306767e+105
 2.19358114e+97
 1.65423952e+150
 1.21402119e+196
 1.72974956e+125
 7.57194811e+128
 2.41459646e+154
 1.48165427e+129
 1.09205889e+133
 1.07531776e+150
 1.67977322e+114
 7.83679329e+129
 5.07607145e+201
 8.60132321e+165
 1.58332324e+147
 2.08759179e+148
 1.30588099e+138
 1.12244342e+162
 9.86196161e+280
 1.90271387e+245
 4.29923740e+163
 2.03243168e+249
 Inf
 5.93271693e+174
 7.74142455e+148
 7.32639257e+186
 4.91764207e+199
 1.52410763e+152
 1.08083752e+127
 5.75652745e+174
 1.20197669e+203
 6.05206686e+168
 2.70986868e+134
 6.31239209e+114
 3.68958936e+114
 4.45040237e+156
 2.70449474e+134
 2.68484097e+97
 5.96684048e+89
 1.19569790e+112
 2.61503801e+124
 1.61729960e+76
 2.19516895e+72
 1.25734537e+114
 8.70838412e+147
 3.34134776e+117
 1.03604834e+110
 3.78586995e+59
 3.45875488e+56
 6.31121468e+107
 1.24989236e+107
 2.13271572e+108
 2.67171212e+134
 1.68177182e+131
 5.62410926e+129
 7.32873210e+119
 1.04675891e+108
 3.13017813e+118
 1.73303888e+119
 3.58139347e+103
 5.44448370e+90
 5.82825344e+97
 1.28472079e+140
 1.02751025e+208
 1.26023407e+215
 1.06170139e+128
 1.50346021e+152
 1.05290466e+200
 5.94362681e+158
 2.14259058e+136
 1.48856703e+127
 4.18676427e+140
 1.30178029e+204
 2.35630185e+191
 2.64376750e+150
 6.20625323e+154
 4.42136324e+117
 5.43395416e+127
 4.37250767e+144
 1.50998735e+152
 1.33456427e+110
 8.70674814e+86
 3.65292446e+114
 4.33815909e+112
 5.50018233e+134
 4.40037949e+216
 1.92913771e+186
 2.12203796e+176
 9.50709773e+172
 1.05818245e+200
 7.68900499e+258
 1.88675843e+246
 1.03041485e+229
 3.40551625e+179
 1.97319507e+106
 8.07700763e+109
 9.33092508e+172
 2.03944895e+141
 3.07856345e+89
 3.11125003e+115
 5.93433832e+153
 2.36428621e+94
 5.35959713e+82
 2.03422372e+100
 1.23491372e+111
 2.77756881e+110
 4.09310845e+119
 1.29533289e+140
 5.70273936e+147
 1.30465130e+204
 1.90315785e+146
 6.37701251e+109
 3.56534502e+124
 7.08440286e+115
 9.77743629e+118
 4.05047072e+138
 6.00570115e+121
 5.59931079e+123
 6.59008789e+217
 3.72953510e+213
 2.15506203e+214
 4.75595923e+265
 4.17252213e+255
 2.16648422e+214
 1.72893418e+165
 1.92222555e+182
 2.41712470e+197
 1.92376967e+175
 3.32092456e+142
 1.27584776e+144
 2.04804586e+164
 2.51228419e+166
 1.66696291e+172
 5.64058654e+187
 8.58442112e+165
 1.04549280e+124
 3.20307157e+148
 9.44079879e+183
 2.44140286e+161
 2.22802424e+133
 1.10414544e+143
 3.03137289e+170
 7.87500423e+180
 3.48936031e+175
 5.82642876e+195
 Inf
 4.25590491e+287
 1.34562617e+185
 8.41522868e+239
 Inf
 2.18049133e+214
 7.78088214e+148
 5.35177442e+170
 1.26162923e+237
 1.24592420e+232
 6.07237100e+168
 9.24927124e+133
 5.65581938e+96
 4.84631747e+99
 2.19003496e+95
 1.00786308e+84
 1.96307933e+105
 7.08055112e+108
 3.89991229e+106
 1.77490433e+85
 1.10658053e+102
 2.83894750e+146
 7.60812970e+128
 8.31954100e+116
 3.12600488e+105
 1.89630372e+117
 6.65097803e+131
 4.44000244e+149
 1.44137844e+187
 8.94229706e+162
 1.48666837e+142
 1.98934667e+122
 1.25401680e+107
 1.25769255e+167
 3.69435894e+213
 2.79841194e+139
 5.32944043e+145
 1.15123867e+176
 9.58775242e+153
 4.42825460e+125
 2.36650962e+131
 3.58656866e+124
 9.16609736e+133
 2.85976943e+149
 5.06611322e+102
 1.96145485e+82
 3.52065524e+110
 5.92324133e+153
 2.78228395e+156
 1.25660107e+237
 4.05549374e+271
 1.17207366e+176
 1.12630233e+202
 9.74604015e+232
 5.53903999e+224
 Inf
 Inf
 Inf
 Inf
 1.29708165e+209
 6.15058805e+151
 Inf
 Inf
 Inf
 4.89254475e+261
 8.04489022e+251
 Inf
 7.15215730e+241
 Inf
 Inf
 6.24664383e+247
 1.67246127e+220
 Inf
 Inf
 6.51557977e+248
 1.16923476e+191
 2.74119447e+259
 Inf
 Inf
 Inf
 2.35842234e+198
 3.49892139e+175
 1.66934651e+143
 8.46962160e+143
 4.15329215e+180
 1.72271957e+262
 Inf
 Inf
 Inf
 5.06152711e+198
 9.92288124e+173
 1.94029643e+248
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51411441e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51447884e-06
 Inf
 Inf
 Inf
 6.51408310e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.75585897e+284
 1.13557655e+274
 4.08369943e+299
 6.14421453e+247
 Inf
 6.51414758e-06
 6.51479902e-06
 6.51499232e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.83950733e+195
 2.21920749e+167
 7.44028659e+205
 Inf
 6.27067426e+257
 8.91241550e+147
 2.19931590e+158
 7.08909781e+159
 3.80654597e+206
 Inf
 1.22283464e+255
 1.32900728e+204
 2.96038514e+209
 2.45045696e+154
 3.11701849e+157
 1.98898061e+243
 2.55062379e+244
 3.53158213e+193
 1.45443340e+187
 5.65629094e+187
 5.41647577e+196
 3.55036367e+184
 7.15889391e+226
 Inf
 1.83719072e+235
 Inf
 Inf
 9.82895150e+295
 Inf
 Inf
 2.55429743e+270
 Inf
 Inf
 Inf
 Inf
 Inf
 6.85655128e+217
 Inf
 Inf
 9.54757480e+171
 6.49200495e+242
 5.03766862e+296
 9.12004557e+282
 2.66791129e+297
 Inf
 Inf
 3.89359491e+225
 Inf
 6.51637272e-06
 6.52253595e-06
 6.51752660e-06
 6.51545877e-06
 Inf
 Inf
 8.22450287e+223
 Inf
 4.72142065e+289
 Inf
 Inf
 6.03473534e+245
 Inf
 3.81822044e+228
 2.64679355e+297
 6.14301966e+247
 3.23995273e+169
 6.93500000e+221
 6.71857485e+249
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51414171e-06
 6.51473167e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.25480830e+238
 1.46297028e+187
 Inf
 6.51425596e-06
 6.51484505e-06
 6.51443590e-06
 6.51463169e-06
 Inf
 Inf
 Inf
 6.51431655e-06
 6.51461898e-06
 6.51478198e-06
 6.51475178e-06
 6.51439286e-06
 6.51474188e-06
 6.51508193e-06
 6.51470875e-06
 6.51467524e-06
 Inf
 6.51430855e-06
 6.51454607e-06
 6.51486070e-06
 6.51475307e-06
 6.51473390e-06
 6.51462237e-06
 6.51477047e-06
 6.51491990e-06
 6.51463411e-06
 6.51455071e-06
 6.51502272e-06
 6.51502495e-06
 6.51487931e-06
 6.51532711e-06
 6.51547923e-06
 6.51515517e-06
 6.51459827e-06
 6.51480914e-06
 9.17143154e+284
 1.40504012e+293
 Inf
 4.41896704e+236
 2.76402532e+259
 6.36437534e+269
 2.39406061e+263
 1.70646217e+206
 2.53902660e+163
 1.01016383e+182
 5.34026250e+181
 6.48799096e+212
 3.63494965e+158
 2.47206519e+151
 1.90009623e+227
 1.89020874e+245
 6.51364383e-06
 6.51460844e-06
 Inf
 1.84369609e+266
 Inf
 Inf
 Inf
 Inf
 4.75825825e+274
 1.80910917e+222
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51434672e-06
 3.46631577e+264
 2.21632553e+250
 Inf
 Inf
 3.68367414e+294
 Inf
 Inf
 Inf
 4.06427006e+285
 Inf
 1.00583320e+260
 2.18456164e+258
 6.63376590e+204
 7.97684196e+251
 Inf
 Inf
 1.79532303e+257
 1.05023966e+219
 1.00030092e+281
 Inf
 Inf
 4.12110157e+285
 Inf
 Inf
 Inf
 6.51393707e-06
 Inf
 3.42733873e+205
 1.29375068e+261
 Inf
 9.92356095e+232
 6.61538596e+204
 8.31749953e+192
 6.30180895e+248
 Inf
 4.13980785e+299
 3.24892797e+160
 5.47536181e+173
 Inf
 7.34778351e+250
 6.51364704e-06
 6.51512604e-06
 6.51536639e-06
 6.51462408e-06
 6.51446984e-06
 Inf
 Inf
 6.51409495e-06
 6.51452878e-06
 6.51473544e-06
 6.51475191e-06
 6.51482172e-06
 6.51461400e-06
 6.51460451e-06
 6.51487461e-06
 6.51512672e-06
 Inf
 Inf
 6.51420424e-06
 6.51589792e-06
 6.51623152e-06
 6.51538847e-06
 6.51478687e-06
 6.51487360e-06
 Inf
 1.83756833e+222
 5.06084580e+185
 1.17556126e+160
 6.66197303e+144
 1.51005518e+152
 6.02088394e+121
 1.92327565e+124
 1.57559465e+159
 3.68696278e+213
 7.05092014e+182
 3.90208862e+154
 3.47104817e+175
 9.71132565e+158
 1.59689738e+155
 5.90008817e+158
 1.12790539e+162
 4.39106123e+188
 1.17607144e+160
 1.00670996e+165
 2.24549125e+290
 2.75630185e+273
 3.75057638e+237
 9.77862075e+191
 1.72394639e+165
 5.12481804e+227
 Inf
 1.06580361e+268
 2.30855106e+199
 8.83324460e+263
 1.13005450e+188
 7.16409098e+226
 Inf
 6.51422347e-06
 6.51475278e-06
 6.51491616e-06
 6.51489555e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51429034e-06
 Inf
 6.51439746e-06
 6.51439288e-06
 6.51466652e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51539991e-06
 6.51598788e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51421436e-06
 Inf
 Inf
 Inf
 Inf
 6.51426821e-06
 6.51458879e-06
 Inf
 Inf
 6.51438016e-06
 Inf
 Inf
 6.51401226e-06
 6.51458482e-06
 Inf
 1.99768014e+248
 Inf
 Inf
 Inf
 6.51416682e-06
 6.51462737e-06
 6.51220515e-06
 6.51445742e-06
 6.51465777e-06
 6.51467594e-06
 Inf
 Inf
 Inf
 Inf
 1.92986073e+245
 Inf
 Inf
 6.51423410e-06
 6.51468366e-06
 6.51484625e-06
 6.51481489e-06
 6.51465610e-06
 6.51449476e-06
 6.51443311e-06
 6.51467177e-06
 Inf
 6.51436237e-06
 6.51446607e-06
 6.51485329e-06
 6.51469613e-06
 6.51471080e-06
 6.51451388e-06
 6.51470957e-06
 6.51513439e-06
 6.51524089e-06
 6.51507716e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51443274e-06
 Inf
 6.51432848e-06
 6.51442091e-06
 6.51458215e-06
 6.51467920e-06
 Inf
 Inf
 6.51437671e-06
 6.51491939e-06
 6.51461701e-06
 6.51486639e-06
 6.51568253e-06
 6.51916593e-06
 6.51948864e-06
 6.52009069e-06
 6.51991316e-06
 6.51988446e-06
 6.51993720e-06
 6.51938694e-06
 6.51952698e-06
 6.51899878e-06
 6.51920682e-06
 6.51879098e-06
 6.51804391e-06
 6.51811444e-06
 6.51813107e-06
 6.51781600e-06
 6.51854871e-06
 6.52041924e-06
 6.51995365e-06
 6.51991696e-06
 6.51860395e-06
 6.51791827e-06
 6.51982757e-06
 6.52034680e-06
 6.52040737e-06
 6.52013249e-06
 6.51978099e-06
 6.52016785e-06
 6.51902820e-06
 6.51820229e-06
 6.51899902e-06
 6.51976267e-06
 6.51974649e-06
 6.51898521e-06
 6.51942817e-06
 6.52132537e-06
 6.52161741e-06
 6.51927203e-06
 6.51855946e-06
 6.51923687e-06
 6.51965705e-06
 6.51844186e-06
 6.51611352e-06
 6.51505991e-06
 6.51468141e-06
 6.51482945e-06
 6.51471775e-06
 6.51469480e-06
 6.51487681e-06
 6.51481900e-06
 Inf
 Inf
 6.51441357e-06
 6.51545958e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51415073e-06
 6.51458893e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51430363e-06
 6.51447503e-06
 6.51454313e-06
 6.51469993e-06
 6.51442965e-06
 6.51478427e-06
 6.51496729e-06
 6.51486494e-06
 Inf
 Inf
 Inf
 6.51436378e-06
 6.51445018e-06
 6.51465657e-06
 Inf
 Inf
 6.51439928e-06
 Inf
 6.51442635e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51425149e-06
 6.51468044e-06
 Inf
 6.51423275e-06
 6.51455297e-06
 6.51472666e-06
 6.51456184e-06
 6.51437998e-06
 6.51466911e-06
 6.51472768e-06
 6.51443911e-06
 6.51474053e-06
 6.51497504e-06
 Inf
 6.51436311e-06
 6.51459490e-06
 6.51481972e-06
 6.51503010e-06
 Inf
 Inf
 Inf
 Inf
 8.38940409e+275
 4.13668593e+283
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51446211e-06
 6.51453697e-06
 6.51449145e-06
 6.51445734e-06
 6.51467625e-06
 6.51480790e-06
 6.51474822e-06
 6.51465926e-06
 6.51435312e-06
 6.51469919e-06
 6.51490142e-06
 6.51448015e-06
 6.51458191e-06
 6.51461983e-06
 6.51453004e-06
 6.51460297e-06
 6.51453835e-06
 6.51453646e-06
 6.51446361e-06
 6.51475406e-06
 6.51470969e-06
 6.51435686e-06
 6.51466625e-06
 6.51468776e-06
 6.51468200e-06
 6.51485668e-06
 6.51449280e-06
 6.51462296e-06
 6.51474793e-06
 6.51439796e-06
 6.51460410e-06
 6.51458464e-06
 6.51474360e-06
 Inf
 6.51431446e-06
 6.51444046e-06
 6.51496223e-06
 6.51771702e-06
 6.51988698e-06
 6.51975990e-06
 6.51986567e-06
 6.51995243e-06
 6.51824702e-06
 6.51774141e-06
 6.51748384e-06
 6.51717441e-06
 6.51769657e-06
 6.51909845e-06
 6.52014975e-06
 6.51994795e-06
 6.51959794e-06
 6.51942177e-06
 6.51887863e-06
 6.52174999e-06
 6.52464135e-06
 6.52024546e-06
 6.51928736e-06
 6.52064101e-06
 6.51996644e-06
 6.51922169e-06
 6.51796922e-06
 6.51708887e-06
 6.51666584e-06
 6.51618026e-06
 6.51632878e-06
 6.51722273e-06
 6.51681335e-06
 6.51616760e-06
 6.51640961e-06
 6.51636497e-06
 6.51600179e-06
 6.51616017e-06
 6.51704060e-06
 6.51814952e-06
 6.47852816e-06
 6.51801735e-06
 6.51871922e-06
 6.52035113e-06
 6.51921140e-06
 6.51806186e-06
 6.51878885e-06
 6.51881633e-06
 6.51809410e-06
 6.51641541e-06
 6.51533409e-06
 6.51481739e-06
 6.51485816e-06
 6.51488940e-06
 6.51505968e-06
 6.51533574e-06
 6.51537800e-06
 6.51509158e-06
 6.51487838e-06
 6.51481099e-06
 6.51472781e-06
 6.51494579e-06
 6.51487783e-06
 6.51493520e-06
 6.51494129e-06
 6.51495740e-06
 6.51478124e-06
 6.51488711e-06
 6.51502919e-06
 6.51476917e-06
 6.51466678e-06
 6.51458097e-06
 6.51473055e-06
 6.51523249e-06
 6.51512185e-06
 6.51463076e-06
 6.51469121e-06
 6.51459918e-06
 6.51468883e-06
 6.51485760e-06
 6.51471065e-06
 6.51481257e-06
 6.51474736e-06
 6.51449461e-06
 6.51495553e-06
 6.51563065e-06
 6.51827120e-06
 6.51952738e-06
 6.52035420e-06
 6.52072165e-06
 6.52060531e-06
 6.52127722e-06
 6.52028655e-06
 6.51766073e-06
 6.51682244e-06
 6.51659351e-06
 6.51661442e-06
 6.51653693e-06
 6.51590828e-06
 6.51605989e-06
 6.51676837e-06
 6.51677750e-06
 6.51695927e-06
 6.51727073e-06
 6.51720020e-06
 6.51696901e-06
 6.51692825e-06
 6.51731739e-06
 6.51716484e-06
 6.51791335e-06
 6.51951054e-06
 6.51815384e-06
 6.51738607e-06
 6.51852949e-06
 6.52008149e-06
 6.52015134e-06
 6.51878619e-06
 6.51840760e-06
 6.51849336e-06
 6.51878635e-06
 6.51902161e-06
 6.51978321e-06
 6.52036264e-06
 6.52008804e-06
 6.51925942e-06
 6.51772555e-06
 6.51679028e-06
 6.51832539e-06
 6.51972070e-06
 6.51843142e-06
 6.51810936e-06
 6.51879826e-06
 6.51857200e-06
 6.51776651e-06
 6.51801861e-06
 6.51920887e-06
 6.51963220e-06
 6.51956095e-06
 6.51937591e-06
 6.51905515e-06
 6.51990489e-06
 6.52099539e-06
 6.52061807e-06
 6.51927315e-06
 6.51892118e-06
 6.51960585e-06
 6.52052114e-06
 6.52219831e-06
 6.46573154e-06
 6.52158951e-06
 6.52205191e-06
 6.52379111e-06
 6.52451475e-06
 6.52556973e-06
 6.52393382e-06
 6.51992437e-06
 6.51831948e-06
 6.51816187e-06
 6.51801472e-06
 6.51805979e-06
 6.51829842e-06
 6.51900818e-06
 6.51912666e-06
 6.51777946e-06
 6.51756081e-06
 6.51785687e-06
 6.51736980e-06
 6.51662012e-06
 6.51558888e-06
 6.51510284e-06
 Inf
 Inf
 Inf
 6.51427467e-06
 6.51462979e-06
 6.51450906e-06
 6.51438599e-06
 6.51469384e-06
 Inf
 6.51445802e-06
 6.51448799e-06
 6.51461567e-06
 6.51443700e-06
 6.51470413e-06
 Inf
 Inf
 Inf
 6.51433633e-06
 6.51460852e-06
 6.51470948e-06
 6.51461291e-06
 6.51451643e-06
 6.51464689e-06
 6.51468360e-06
 6.51472823e-06
 6.51469106e-06
 6.51451745e-06
 6.51475047e-06
 6.51488982e-06
 6.51486363e-06
 6.51465628e-06
 6.51458040e-06
 6.51485204e-06
 Inf
 6.51439941e-06
 6.51447439e-06
 6.51480093e-06
 6.51484152e-06
 6.51478387e-06
 6.51472618e-06
 6.51446948e-06
 6.51460000e-06
 Inf
 6.51433794e-06
 6.51442155e-06
 6.51512864e-06
 6.52963589e-06
 6.53660918e-06
 6.52530312e-06
 6.52028360e-06
 6.51762551e-06
 6.51602342e-06
 6.51533765e-06
 6.51504360e-06
 6.51476121e-06
 6.51466227e-06
 6.51488213e-06
 6.51475762e-06
 6.51491465e-06
 6.51502762e-06
 6.51497804e-06
 6.51494748e-06
 6.51496606e-06
 Inf
 Inf
 6.51447840e-06
 Inf
 Inf
 6.51448630e-06
 6.51460759e-06
 6.51661402e-06
 6.51739565e-06
 6.51831368e-06
 6.51896763e-06