Inf
 4.75643426e+289
 5.52567839e+202
 1.71008603e+173
 2.22242856e+142
 2.62092703e+150
 4.08201451e+138
 5.70068633e+147
 1.30573279e+138
 3.15419661e+118
 3.89749775e+128
 1.36262810e+137
 1.27421383e+144
 3.87078610e+151
 5.46427869e+173
 5.93490319e+164
 3.36653930e+131
 1.56992638e+126
 5.59500346e+108
 1.72810578e+119
 1.07088734e+150
 1.51178970e+152
 5.11245822e+201
 4.36191958e+236
 7.95025142e+180
 7.11775862e+159
 4.94021514e+198
 9.74002076e+232
 6.66718962e+167
 4.51204185e+156
 2.10996205e+176
 2.71286086e+134
 1.07697432e+115
 2.17056465e+110
 9.09203458e+124
 7.62191514e+123
 1.38688352e+102
 3.90865915e+105
 5.95326788e+121
 1.55100273e+133
 2.30535266e+145
 3.43940893e+168
 1.30538601e+177
 1.15765295e+191
 4.32496343e+159
 1.00855290e+145
 4.12593067e+104
 1.55131438e+77
 1.52496291e+69
 6.42563217e+79
 3.83201964e+109
 3.38772045e+111
 1.47813773e+153
 1.91729121e+157
 4.14838429e+115
 6.50511756e+107
 2.48456273e+105
 1.35692825e+100
 5.36399053e+115
 3.20107284e+125
 2.64112239e+102
 1.57627207e+107
 4.37730370e+108
 4.81302003e+97
 1.81873808e+91
 1.76247593e+81
 2.17064493e+73
 8.78784550e+73
 3.86656121e+72
 8.16346938e+68
 1.96733990e+75
 1.59637320e+76
 2.19580699e+79
 4.48398346e+84
 7.02987118e+89
 2.62125247e+99
 7.26177929e+101
 2.34535761e+98
 1.57410366e+107
 2.09438795e+104
 2.57935840e+91
 1.52596973e+91
 3.10073068e+105
 8.02237591e+121
 1.68291892e+104
 3.03277116e+109
 1.46666323e+142
 2.61188946e+112
 7.75610379e+102
 1.24740233e+107
 1.08646212e+101
 8.00851021e+104
 1.00625755e+121
 3.84622015e+151
 7.40111652e+142
 7.72061692e+117
 4.39020849e+108
 3.06767124e+119
 4.39492373e+125
 1.29764360e+140
 4.44948405e+149
 1.57285157e+151
 2.92686405e+209
 1.08600859e+201
 4.43568542e+146
 7.07098834e+159
 2.53424871e+117
 1.83383593e+115
 1.74638292e+222
 2.37818004e+263
 7.55985236e+298
 Inf
 6.51408283e-06
 6.51471211e-06
 6.51516471e-06
 6.51507948e-06
 6.51493425e-06
 6.51452443e-06
 Inf
 2.35191319e+280
 4.46025987e+144
 1.24843433e+111
 8.67160309e+138
 1.23488421e+146
 1.84831013e+149
 8.82719312e+213
 6.71117922e+144
 2.62026796e+96
 4.43100529e+68
 9.65015482e+60
 2.34291522e+63
 2.03808713e+64
 3.66489138e+63
 3.37497486e+61
 9.61824630e+60
 7.32746862e+69
 1.28319599e+79
 1.74955416e+67
 5.75727322e+67
 8.16715681e+84
 8.19347869e+95
 2.33624247e+76
 2.62726823e+71
 2.26154601e+74
 1.51305608e+63
 5.60435124e+61
 1.17537716e+65
 5.86661780e+60
 1.85230529e+62
 1.83145976e+59
 2.42217088e+58
 2.14007603e+59
 6.66067701e+55
 4.55564533e+57
 7.72428240e+57
 2.18740899e+60
 7.31648796e+68
 7.35775157e+69
 1.80285943e+63
 2.02244552e+55
 1.30531630e+53
 3.44619858e+56
 7.66382288e+55
 9.36630594e+50
 1.09517966e+46
 6.76990381e+42
 2.85360440e+43
 2.87001934e+40
 7.60855986e+36
 8.65570096e+34
 7.45918057e+33
 7.15192409e+34
 3.40263784e+37
 1.16709723e+42
 2.53486638e+41
 2.42834725e+41
 6.45398203e+42
 4.73844863e+42
 2.78449917e+44
 3.13305486e+45
 1.28289791e+48
 1.85218535e+57
 4.30175568e+50
 7.28102630e+44
 3.26106602e+55
 1.13172806e+61
 3.21447334e+68
 2.63539851e+83
 9.54053591e+102
 2.19171920e+97
 2.04380036e+78
 9.26045620e+76
 1.74850163e+75
 1.04984551e+77
 2.87222677e+79
 1.78308065e+78
 7.98722014e+71
 1.14167466e+66
 2.45005020e+64
 1.57492994e+67
 4.44024296e+78
 1.16383223e+90
 1.00619599e+84
 7.58868358e+78
 4.10186672e+70
 4.62569159e+74
 6.39528260e+90
 4.16443451e+88
 1.81319516e+91
 1.28636160e+98
 7.25864787e+101
 8.83526552e+92
 3.23265345e+97
 1.00195027e+105
 1.13250430e+88
 5.52476575e+73
 1.95865539e+72
 2.23922153e+66
 2.04125767e+61
 2.68110110e+53
 4.94377185e+60
 8.09643386e+64
 1.93361998e+68
 1.25234486e+70
 5.61541699e+64
 1.67076234e+79
 3.28755360e+79
 1.30886584e+108
 2.81387177e+140
 1.09253022e+75
 4.45757708e+78
 3.08282860e+105
 8.02236282e+121
 7.93006579e+275
 Inf
 2.28612700e+280
 Inf
 5.03428239e+198
 5.67770330e+143
 3.46999433e+193
 Inf
 Inf
 6.51425146e-06
 6.51478755e-06
 6.51544809e-06
 6.51646397e-06
 6.51646288e-06
 6.51595603e-06
 6.51589833e-06
 6.51545465e-06
 6.51496637e-06
 6.51466901e-06
 6.51462278e-06
 6.51457205e-06
 6.51470537e-06
 Inf
 3.66399131e+260
 8.85925345e+210
 2.15421000e+214
 2.35966647e+191
 9.60935876e+153
 4.39948441e+144
 1.14384830e+135
 3.58953348e+124
 2.68542416e+134
 1.23350262e+146
 1.58107927e+89
 3.47034546e+82
 4.37595030e+121
 2.76563308e+116
 6.83957841e+96
 1.12414542e+72
 2.52221561e+59
 9.70188147e+57
 2.71248336e+59
 7.00857689e+67
 1.01943371e+62
 1.60433962e+47
 2.61279110e+43
 5.39298050e+47
 1.92039180e+45
 5.43313650e+41
 3.45131467e+45
 4.59892779e+47
 4.94941180e+44
 6.23540172e+43
 1.98500989e+43
 2.27375047e+43
 8.26928851e+40
 4.54572694e+37
 1.82510052e+36
 6.60873707e+36
 1.11168165e+39
 3.02583918e+36
 3.91979171e+32
 3.18728693e+34
 7.19546796e+35
 1.11278052e+35
 1.87377965e+33
 4.37027437e+30
 7.24562986e+32
 5.36780966e+33
 3.85300751e+31
 7.25302753e+32
 4.26031754e+35
 8.11889805e+36
 1.28242778e+34
 1.84665971e+35
 1.70351007e+36
 3.26265464e+33
 3.65296462e+31
 2.58557932e+31
 3.83013569e+34
 1.54019135e+36
 9.69366526e+35
 1.62617729e+37
 4.69688103e+37
 2.01807910e+36
 5.56815443e+36
 3.29971215e+35
 1.17011867e+34
 1.15199343e+38
 7.67938177e+39
 3.66886278e+37
 4.83665371e+40
 3.85746025e+41
 5.87873752e+38
 4.07813400e+37
 4.54153335e+36
 4.78109253e+34
 6.87337245e+32
 2.00023278e+37
 7.45786427e+43
 1.55283986e+46
 4.79451229e+46
 4.73500135e+43
 3.27387927e+43
 7.31184500e+40
 1.81242234e+41
 1.38676293e+52
 5.28157585e+57
 1.50070101e+54
 1.07852582e+55
 5.57045507e+64
 3.63175563e+65
 7.18313954e+56
 2.09995239e+54
 1.52645608e+58
 1.10506079e+62
 6.90918710e+60
 4.03648530e+62
 4.15917535e+58
 2.80799607e+52
 2.77283539e+56
 1.05406053e+63
 1.29130985e+57
 1.30660653e+53
 8.81531131e+55
 3.39229854e+52
 3.77437895e+20
 7.78440669e+10
 1.72173723e+11
 2.63975203e+12
 2.15167019e+12
 6.10665767e+11
 3.06616783e+11
 2.63060317e+11
 4.91675728e+10
 2.03190788e+11
 3.00024731e+10
 4.20000340e+09
 5.35838101e+09
 1.59880435e+10
 8.86410082e+09
 4.78453197e+09
 4.22792513e+09
 1.81854468e+09
 2.42551049e+09
 5.55985500e+09
 2.37064066e+10
 3.01235875e+09
 4.34820321e+09
 2.80915431e+10
 6.11441855e+10
 2.76394630e+21
 6.89953856e+69
 7.09915986e+59
 4.73517059e+59
 2.33116176e+57
 1.71714228e+51
 7.68580730e+58
 1.23856450e+72
 2.57571467e+93
 1.77197530e+92
 3.85137799e+90
 1.24182157e+107
 2.82360423e+114
 3.09820275e+106
 4.70779610e+100
 1.33645692e+81
 2.17054480e+73
 1.50588300e+85
 1.56528768e+98
 3.29864515e+117
 9.75954372e+119
 7.66045616e+132
 4.44127817e+149
 2.10644043e+176
 1.11729343e+188
 1.73799915e+170
 1.50051414e+153
 1.14668640e+126
 7.37231266e+118
 5.53669719e+118
 2.00216790e+107
 1.00595381e+97
 9.31724409e+93
 1.81125368e+95
 1.56329589e+88
 1.95102783e+68
 3.81454343e+76
 4.99514549e+87
 7.16577699e+71
 3.54463665e+64
 1.10991753e+69
 2.18831024e+79
 6.96387302e+73
 4.82873994e+69
 2.23962223e+64
 2.05214772e+52
 1.12020274e+51
 1.84610738e+64
 2.33957643e+71
 1.06183415e+60
 2.16457459e+57
 8.98173740e+68
 9.36404635e+61
 2.06578356e+51
 2.33949824e+53
 2.65966883e+55
 2.09834717e+54
 1.03055281e+57
 2.01464922e+62
 6.28119054e+70
 4.76032853e+59
 1.04064838e+48
 1.56645374e+50
 1.16982943e+56
 1.07270805e+54
 1.03036868e+57
 1.60652490e+57
 9.58176001e+66
 2.27365179e+83
 1.46475543e+82
 9.48471555e+98
 4.65941768e+95
 8.35385842e+89
 1.75517441e+77
 2.19753833e+80
 4.42190230e+85
 1.11735774e+62
 1.37411293e+45
 3.33696050e+47
 3.83215733e+52
 2.79892458e+52
 1.34334109e+51
 1.96455103e+49
 2.92585818e+48
 7.89094076e+47
 2.46172482e+51
 2.92808630e+49
 7.47561065e+51
 7.45975085e+63
 9.48331981e+74
 7.81838263e+73
 1.71772080e+65
 3.00799858e+65
 3.29294506e+77
 1.46121762e+82
 6.80184310e+88
 1.16868087e+90
 6.04425095e+85
 5.15329995e+91
 1.79529656e+86
 1.18742759e+103
 1.54495377e+106
 1.53877824e+81
 3.45491516e+73
 2.31000454e+78
 6.19075618e+73
 4.84437221e+65
 1.05263853e+68
 2.14414679e+68
 4.90117284e+79
 7.68451271e+105
 5.95386407e+121
 1.22909491e+146
 8.10514276e+121
 3.40445509e+94
 3.60257588e+89
 5.37128144e+93
 3.89712259e+105
 3.95012023e+97
 3.43022465e+113
 3.83588017e+134
 4.06564879e+139
 9.83219462e+270
 Inf
 1.58044753e+213
 1.13258158e+102
 1.90164584e+65
 2.14138054e+68
 6.24710287e+86
 3.09501218e+105
 1.86373002e+134
 2.02375958e+128
 2.19973883e+89
 4.10902193e+71
 5.91423198e+66
 1.10443664e+80
 4.30622594e+79
 3.45297947e+73
 1.55756127e+64
 6.32310484e+53
 8.76669670e+53
 2.01265685e+55
 4.55418961e+57
 1.23148249e+61
 1.24756394e+70
 1.03249201e+92
 5.34677513e+115
 8.43271817e+130
 2.20361491e+142
 9.79882590e+169
 5.63802513e+187
 1.08216390e+201
 2.75643819e+292
 Inf
 Inf
 Inf
 Inf
 Inf
 1.95689707e+244
 Inf
 6.51406507e-06
 Inf
 Inf
 Inf
 Inf
 1.82704676e+222
 1.12581253e+274
 1.12877174e+291
 Inf
 Inf
 Inf
 Inf
 6.51434102e-06
 Inf
 Inf
 6.51430010e-06
 6.51461678e-06
 6.51486282e-06
 6.51482663e-06
 6.51490444e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.19408609e+258
 7.01005797e+266
 1.42645955e+190
 9.90660399e+105
 1.80410234e+97
 6.36569590e+204
 Inf
 Inf
 Inf
 7.36299507e+163
 3.02520743e+141
 2.84127581e+140
 5.85064894e+203
 Inf
 Inf
 Inf
 6.51413409e-06
 6.51456363e-06
 6.51521856e-06
 6.51543040e-06
 6.51509356e-06
 6.51596633e-06
 6.51873043e-06
 6.51888610e-06
 6.52012716e-06
 6.52073556e-06
 6.52238126e-06
 6.52614397e-06
 6.53113041e-06
 6.53839404e-06
 6.54775695e-06
 6.55323700e-06
 6.55706125e-06
 6.55394535e-06
 6.55236787e-06
 6.55159994e-06
 6.54453325e-06
 6.55028658e-06
 6.55488381e-06
 6.55121558e-06
 6.54577776e-06
 6.53849246e-06
 6.54181970e-06
 6.54959661e-06
 6.54630678e-06
 6.43198109e-06
 6.54579321e-06
 6.54794237e-06
 6.55550996e-06
 6.55836045e-06
 6.55105975e-06
 6.53628474e-06
 6.52718186e-06
 6.52892693e-06
 6.53627358e-06
 6.54155816e-06
 6.54947491e-06
 6.55511007e-06
 6.55421468e-06
 6.54849650e-06
 6.53965194e-06
 6.53108184e-06
 6.52503220e-06
 6.52070673e-06
 6.52064071e-06
 6.52988510e-06
 6.53277722e-06
 6.52858592e-06
 6.52770018e-06
 6.52884685e-06
 6.53192892e-06
 6.52858597e-06
 6.52389700e-06
 6.51700692e-06
 Inf
 6.51676957e-06
 6.51917329e-06
 6.52203337e-06
 6.52301583e-06
 6.52586085e-06
 6.52643985e-06
 6.52397127e-06
 6.52241044e-06
 6.52310318e-06
 6.52295027e-06
 6.52312815e-06
 6.52378774e-06
 6.52183380e-06
 6.52196300e-06
 6.52186096e-06
 6.52135524e-06
 6.52369899e-06
 6.52566970e-06
 6.52448584e-06
 6.51698923e-06
 6.51460115e-06
 6.51809023e-06
 6.51838097e-06
 6.51955419e-06
 6.51976582e-06
 6.51941133e-06
 6.52002228e-06
 6.51969115e-06
 6.51869811e-06
 6.51940190e-06
 6.52046187e-06
 6.52125953e-06
 6.52235685e-06
 6.51983375e-06
 6.51972063e-06
 6.52324213e-06
 6.52268559e-06
 6.52196428e-06
 6.52354344e-06
 6.52346365e-06
 6.52200226e-06
 6.52308624e-06
 6.52609517e-06
 6.53090941e-06
 6.52900020e-06
 6.52222707e-06
 6.51990498e-06
 6.52014422e-06
 6.52168089e-06
 6.52244424e-06
 6.52255438e-06
 6.52178901e-06
 6.52345184e-06
 6.52490614e-06
 6.52334687e-06
 6.52195136e-06
 6.51661470e-06
 1.40949110e+158
 6.51326879e-06
 6.51828617e-06
 Inf
 5.47433376e+181
 Inf
 6.51422664e-06
 6.51831405e-06
 6.51854447e-06
 6.51645231e-06
 6.51582802e-06
 6.51709708e-06
 6.51742304e-06
 6.51725985e-06
 6.51835255e-06
 6.52072807e-06
 6.51931503e-06
 6.51850678e-06
 6.51975468e-06
 6.51821781e-06
 6.51593601e-06
 6.51522412e-06
 6.51545291e-06
 Inf
 Inf
 3.55346979e+108
 2.72672078e+195
 6.51755916e-06
 6.52012517e-06
 6.51639787e-06
 6.51505046e-06
 Inf
 1.61186552e+126
 2.99875748e+215
 6.51373261e-06
 6.51628554e-06
 Inf
 3.79498084e+147
 Inf
 3.57964811e+276
 Inf
 6.51484596e-06
 6.51586494e-06
 6.51650286e-06
 6.51671430e-06
 6.51682359e-06
 6.51625385e-06
 6.51541290e-06
 Inf
 6.51437081e-06
 Inf
 Inf
 Inf
 1.92806555e+247
 4.55750667e+113
 1.01520116e+118
 1.80843147e+169
 3.81009510e+47
 1.05140700e+51
 1.16373261e+209
 Inf
 Inf
 1.85424931e+76
 7.89679197e+37
 1.13109529e+53
 8.09531137e+130
 Inf
 3.87632068e+152
 3.60350927e+103
 6.51275500e-06
 6.51469904e-06
 6.51516713e-06
 4.77146766e+281
 7.71530946e+229
 6.51359116e-06
 6.51601443e-06
 6.51838611e-06
 6.51794532e-06
 Inf
 1.15836134e+79
 Inf
 6.51531970e-06
 6.51861800e-06
 6.51772970e-06
 6.51690517e-06
 6.51612896e-06
 7.04840743e+144
 2.23533448e+47
 3.59004726e+31
 1.96625454e+32
 1.09705711e+32
 1.84560314e+32
 2.47594756e+69
 6.51204523e-06
 6.51640359e-06
 6.51762499e-06
 6.51707340e-06
 6.51689341e-06
 6.51708348e-06
 6.51650557e-06
 6.51627134e-06
 6.51742316e-06
 6.51663749e-06
 6.51560662e-06
 6.51523102e-06
 1.85883815e+222
 Inf
 6.51429918e-06
 6.51493346e-06
 6.51491023e-06
 6.51706555e-06
 6.51859320e-06
 6.51702461e-06
 6.51599072e-06
 6.51569878e-06
 6.51657553e-06
 6.51826911e-06
 6.51903048e-06
 6.51925287e-06
 6.51806588e-06
 6.51742184e-06
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