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 Inf
 Inf
 9.84590565e+178
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 3.02217150e+141
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 Inf
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 Inf
 6.51388350e-06
 Inf
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 Inf
 2.54208174e+270
 5.47240558e+196
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 2.66697148e+217
 Inf
 Inf
 Inf
 Inf
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 2.77642064e+138
 1.71634186e+156
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 8.12715598e+62
 1.20695581e+75
 1.09943474e+83
 1.30997769e+86
 6.63983362e+80
 1.58841169e+68
 1.73989585e+77
 1.50170742e+93
 9.28273666e+111
 2.51528673e+196
 4.02510092e+271
 2.66377841e+150
 2.13962234e+102
 1.77677772e+92
 1.31461561e+110
 1.53718016e+130
 1.07596303e+127
 2.05344412e+127
 2.53337917e+101
 1.54414404e+106
 1.56484734e+159
 4.31146944e+166
 1.15515817e+191
 5.74065088e+190
 8.18248891e+145
 3.47217591e+193
 6.86963799e+209
 8.06601126e+223
 5.80245313e+230
 Inf
 2.16155607e+242
 6.07840517e+168
 Inf
 Inf
 3.15438294e+136
 1.90263656e+138
 3.29783160e+142
 1.00495459e+182
 9.70166775e+191
 2.36029313e+201
 8.86597740e+147
 2.65176629e+102
 7.49323869e+110
 1.86736460e+134
 1.91985275e+140
 8.60413774e+206
 4.65631132e+274
 Inf
 9.52454134e+171
 6.30894689e+102
 1.84798487e+103
 1.00481574e+97
 6.88922130e+103
 2.64845937e+113
 8.09369107e+109
 3.13491148e+115
 9.04031537e+108
 1.35331195e+141
 4.97232968e+165
 4.99716625e+148
 4.11290932e+126
 5.87753273e+110
 1.01431157e+118
 5.50966647e+134
 1.92007489e+140
 1.21296374e+112
 3.19750396e+125
 1.94923585e+192
 2.81897041e+178
 1.59606448e+98
 3.14341725e+96
 1.09069851e+130
 4.01909409e+129
 7.55694089e+127
 5.43925885e+128
 5.26155371e+160
 Inf
 Inf
 4.40239161e+159
 2.87615882e+149
 4.45914688e+149
 2.77331778e+139
 3.81583289e+132
 1.47719639e+142
 1.82237256e+169
 1.98870811e+168
 2.22070403e+142
 3.03316012e+173
 1.31157035e+138
 1.04042289e+124
 7.26402630e+298
 6.08621448e+244
 1.15809392e+135
 2.87052946e+146
 3.40921488e+135
 5.93661353e+152
 8.15547136e+177
 1.95349969e+80
 4.12189475e+83
 4.80709975e+135
 2.69278941e+212
 Inf
 2.44716754e+263
 4.76329017e+261
 Inf
 4.51442437e+281
 Inf
 1.20588904e+180
 2.32249279e+198
 Inf
 2.83462733e+156
 4.43129147e+216
 4.44325016e+146
 3.58737328e+110
 9.21328691e+171
 2.38235451e+208
 7.24466736e+250
 2.97855530e+209
 7.25376809e+193
 Inf
 6.51408574e-06
 8.35159037e+223
 3.24242024e+174
 1.38883321e+175
 7.43499136e+118
 2.40692330e+154
 5.85066938e+245
 9.58983769e+183
 1.61784490e+116
 9.86007136e+141
 1.15008267e+176
 4.18358536e+180
 1.27167335e+209
 3.22674570e+169
 8.15721629e+145
 1.57789502e+231
 1.93155715e+227
 9.78413795e+178
 2.93269267e+204
 1.32064331e+204
 2.72952481e+221
 5.41647557e+170
 4.49987902e+136
 3.21702568e+107
 1.29758918e+119
 6.56431254e+155
 3.66249016e+116
 1.26263187e+105
 1.24147947e+125
 1.50213274e+152
 2.03214394e+141
 6.44205560e+133
 6.70394170e+146
 1.02911381e+219
 6.66252937e+272
 8.87908878e+188
 6.49720634e+212
 1.47970219e+205
 7.14860944e+135
 5.65599339e+126
 2.49913333e+163
 2.55920735e+196
 2.53579328e+163
 8.17158895e+109
 8.25864999e+125
 7.23429042e+156
 1.82883112e+169
 6.75338576e+146
 1.09638774e+133
 5.82353691e+117
 5.13697810e+107
 1.32743342e+132
 9.94736374e+106
 1.94760297e+106
 4.15303913e+118
 5.95891354e+139
 3.16263020e+133
 1.76516176e+174
 7.21057924e+193
 3.33985682e+121
 4.39175379e+117
 3.85924482e+101
 1.40235443e+124
 1.88269818e+244
 4.50197500e+216
 8.88087290e+147
 3.47397818e+113
 1.25138598e+92
 1.42975356e+117
 5.04941731e+201
 4.44027292e+281
 2.24457328e+188
 1.10348297e+133
 3.86004702e+151
 Inf
 Inf
 1.51964385e+181
 8.99660205e+137
 1.91223011e+117
 5.53481764e+118
 4.11659515e+115
 5.86184281e+110
 2.60288920e+96
 2.68799972e+81
 1.90676632e+98
 1.85830229e+139
 1.51717855e+154
 1.48051806e+136
 9.70394209e+110
 2.19195124e+89
 1.16897005e+90
 5.16164079e+91
 1.92638486e+80
 2.83753751e+103
 5.55853675e+143
 5.18297110e+178
 4.91003016e+199
 4.32772419e+130
 1.82869201e+121
 1.64636403e+123
 6.29664159e+114
 1.65313748e+171
 5.57260474e+134
 1.33051479e+110
 2.44498239e+121
 1.44374322e+117
 1.45037373e+128
 1.24445947e+111
 1.04436632e+108
 4.87044493e+122
 6.66145194e+131
 2.68153990e+122
 1.04739691e+108
 7.23746093e+111
 1.75124638e+174
 2.81184988e+239
 9.05101238e+137
 6.64345905e+122
 7.92012388e+134
 6.47860999e+136
 2.67170641e+137
 1.58887469e+155
 1.16920019e+160
 1.48592096e+142
 7.31267933e+186
 8.80854924e+263
 4.22085735e+287
 3.09360860e+173
 9.88553542e+118
 5.94163753e+153
 2.71805216e+292
 3.35568577e+205
 1.58680706e+151
 1.90168385e+132
 4.79934120e+116
 2.67375650e+132
 1.45325388e+166
 7.33539321e+112
 2.33355853e+125
 2.93962094e+171
 5.44893612e+132
 1.36408545e+137
 3.10429063e+157
 9.64608964e+232
 4.02704185e+285
 Inf
 7.11204515e+241
 1.03539246e+136
 5.63759540e+120
 1.55054998e+133
 5.93287458e+152
 1.30089601e+177
 5.33533515e+181
 5.45256376e+202
 5.24303117e+178
 7.93164521e+251
 Inf
 2.91979880e+149
 1.09355078e+91
 3.01818427e+109
 2.66536484e+122
 4.42529478e+80
 1.34443717e+100
 1.32356186e+132
 5.63292370e+120
 6.67169159e+124
 1.01793733e+136
 4.08728613e+150
 1.58593223e+210
 4.42856589e+188
 6.24783642e+154
 4.16489860e+180
 4.26625629e+163
 6.25610281e+248
 Inf
 1.29458779e+237
 Inf
 Inf
 Inf
 Inf
 1.17304896e+212
 1.71215083e+173
 2.71282423e+221
 1.04541598e+208
 1.35285228e+132
 1.55020970e+86
 8.83006358e+73
 5.99155686e+68
 6.42855799e+65
 3.28603633e+70
 3.26934882e+71
 1.37099738e+69
 1.72673590e+70
 9.75197116e+70
 3.36170783e+63
 2.62188179e+61
 1.10799953e+69
 9.69253359e+75
 5.33110415e+65
 1.34971889e+60
 2.13526063e+68
 4.98120984e+89
 2.28497918e+119
 2.53292260e+107
 1.80481782e+97
 2.10273971e+86
 8.62600470e+75
 1.34797463e+84
 2.88389783e+74
 1.23138318e+48
 2.30794236e+52
 6.90658037e+85
 1.25888692e+93
 3.24600420e+102
 8.77306728e+91
 7.41881300e+69
 1.75072025e+68
 6.42241607e+79
 1.25491616e+74
 2.63647680e+68
 1.03146012e+92
 1.41800753e+74
 2.07508682e+51
 2.20131021e+49
 4.55443431e+51
 5.28751016e+52
 1.39929405e+54
 3.71740524e+59
 1.55172858e+72
 1.83010945e+89
 5.76556054e+100
 4.36830581e+108
 3.10328754e+81
 7.45223039e+83
 1.57936483e+116
 1.15159580e+109
 5.78742216e+117
 1.19958964e+103
 1.53761939e+81
 1.97725312e+83
 3.62754071e+147
 6.79662409e+209
 1.46291517e+117
 9.41153939e+112
 3.03362554e+92
 5.92714154e+74
 1.50694533e+85
 2.86085208e+84
 1.24022645e+92
 1.57078079e+105
 4.55588939e+110
 3.99681150e+129
 4.37477186e+144
 9.20994028e+133
 3.15836042e+133
 1.19316077e+131
 4.37802793e+91
 7.10251200e+97
 9.78728672e+113
 3.27815798e+104
 2.48216210e+105
 1.58971302e+111
 6.59818260e+122
 2.60141488e+112
 4.35502837e+146
 8.78791993e+147
 3.05737454e+130
 1.87863234e+146
 1.59226661e+107
 4.94791964e+109
 1.67002894e+131
 4.40192803e+117
 4.10178477e+119
 1.41056369e+124
 1.59784350e+111
 5.23681118e+98
 2.59399176e+96
 2.64141823e+113
 3.04104289e+109
 8.81638214e+100
 2.87503208e+84
 3.36712028e+94
 9.41546635e+151
 9.82235721e+169
 6.47527057e+133
 1.15617369e+109
 1.20409325e+112
 8.86272489e+137
 1.52149725e+145
 1.22515662e+116
 1.67272089e+100
 5.39041138e+93
 1.84232956e+103
 1.86337191e+109
 3.62123242e+92
 2.73694702e+90
 5.61542210e+95
 3.11917923e+93
 8.05672466e+88
 6.81838964e+88
 2.10743157e+102
 2.50091240e+117
 3.51215807e+98
 7.06358447e+89
 2.48839772e+117
 2.33672340e+125
 3.40176038e+111
 5.42369353e+127
 5.61921921e+129
 6.85854704e+96
 1.03727505e+128
 6.15444175e+269
 3.71396531e+182
 4.26756980e+163
 1.15438512e+191
 2.89991957e+146
 1.44014109e+187
 9.93427146e+280
 1.89471792e+284
 1.89189253e+246
 1.23388084e+196
 Inf
 Inf
 5.42742185e+181
 3.06547865e+123
 1.83736565e+149
 3.66563649e+237
 5.01370474e+200
 1.20589000e+131
 3.84505665e+100
 5.10942675e+104
 4.99540071e+157
 1.00819894e+145
 1.28912255e+114
 4.38801667e+125
 6.24076440e+179
 1.30815449e+177
 3.23997101e+148
 2.41561534e+115
 1.58044899e+98
 1.05724745e+98
 2.59344014e+96
 1.02931034e+110
 5.23521451e+98
 1.52977118e+91
 5.03318117e+89
 1.31723279e+132
 6.28437290e+175
 3.78581584e+153
 6.09884608e+151
 1.90878152e+138
 3.97817124e+97
 3.83741332e+101
 1.86233652e+109
 3.11777723e+87
 3.54558894e+103
 5.60392395e+126
 1.87512120e+109
 1.30874027e+85
 8.78477234e+92
 4.65000273e+95
 7.61683119e+78
 1.96271693e+72
 4.67951625e+81
 1.01138329e+87
 5.34686772e+82
 2.24457170e+87
 2.45125011e+86
 2.15944236e+88
 4.91371609e+109
 2.15634362e+130
 7.58172551e+128
 7.69838093e+117
 1.20628866e+77
 4.64428704e+75
 2.49344180e+100
 1.28762289e+138
 9.68371440e+259
 7.51537595e+166
 7.13861060e+115
 7.30287871e+119
 3.29836198e+121
 1.83582789e+115
 5.81265758e+100
 9.22924338e+115
 2.76131412e+116
 2.10078914e+116
 1.26256017e+105
 4.49895608e+93
 3.55432776e+103
 6.81866239e+95
 2.14472663e+130
 4.43817371e+149
 1.78650075e+96
 3.38170087e+94
 9.34291161e+112
 1.06044529e+93
 2.80747191e+94
 3.10182575e+101
 1.13144237e+88
 4.13146315e+74
 7.56016386e+78
 2.02121719e+111
 1.00624182e+105
 2.17205186e+88
 1.93476944e+106
 1.32119234e+110
 1.11613684e+102
 7.72715470e+126
 3.10731684e+106
 3.82311769e+100
 3.90663591e+105
 2.13219114e+84
 1.51320236e+85
 3.59065458e+89
 1.35523623e+84
 2.17394105e+89
 3.42095072e+108
 1.20967079e+123
 2.40316062e+115
 1.07207327e+115
 4.35524613e+144
 4.46445348e+121
 6.49213489e+90
 3.11393214e+93
 1.06419790e+115
 2.15558746e+99
 1.60908281e+76
 7.34800478e+86
 4.98622529e+102
 3.90928348e+105
 2.05125877e+100
 2.62378642e+102
 1.00536822e+121
 4.87850066e+99
 1.76790038e+96
 2.81285973e+114
 3.13629559e+118
 9.03462911e+101
 1.48253602e+97
 4.14718352e+137
 5.69926235e+147
 2.03033112e+141
 1.47327373e+122
 1.17549410e+99
 3.01541527e+130
 5.47846627e+81
 1.51805962e+71
 5.52256978e+111
 9.65787945e+84
 5.91342282e+74
 2.16516263e+73
 9.88566012e+73
 3.30913584e+84
 4.29345420e+92
 5.42547933e+119
 3.96405872e+97
 9.35810752e+77
 7.65741800e+102
 1.13017911e+135
 6.20958690e+140
 8.34015334e+116
 1.78326491e+92
 4.60370171e+86
 5.55204845e+83
 6.63414556e+80
 2.60343028e+102
 1.86284803e+109
 4.86459420e+99
 7.79587415e+129
 7.55129168e+120
 1.15292716e+109
 3.68388831e+114
 1.25164082e+107
 2.75414688e+116
 1.07200902e+127
 5.94565740e+138
 4.02712934e+129
 9.38686757e+136
 1.57386242e+147
 1.77036670e+99
 8.67734897e+97
 7.22473226e+112
 2.38318139e+109
 6.01283372e+125
 1.10155967e+130
 3.84430038e+100
 7.12069200e+94
 2.60674629e+104
 7.27327520e+101
 4.85988112e+122
 7.56666502e+128
 1.23564504e+106
 7.23312257e+111
 9.01978868e+101
 1.61012315e+76
 7.52542972e+76
 1.11363197e+74
 1.40910477e+76
 2.58128556e+93
 9.63288569e+85
 3.28866288e+71
 3.38671091e+61
 2.62068049e+68
 1.20228355e+97
 6.32219278e+86
 1.75987761e+81
 3.00274943e+92
 4.89657204e+77
 2.14754338e+70
 1.24990204e+74
 3.90583271e+78
 1.05131634e+77
 1.27198396e+80
 4.57279848e+70
 2.81209612e+63
 1.94884182e+72
 4.64181307e+100
 7.12437500e+97
 1.59325774e+67
 1.42736069e+68
 1.28204978e+79
 6.01883671e+85
 3.93405947e+99
 5.53040967e+103
 2.62771412e+111
 1.59269194e+111
 1.95714725e+90
 6.43846601e+90
 5.55994928e+83
 1.29877709e+85
 8.53428717e+94
 4.45017296e+113
 9.26745321e+115
 3.07445595e+119
 2.71827666e+108
 3.96457473e+99
 8.99698474e+108
 1.84686350e+88
 3.25037499e+104
 2.14456760e+96
 2.98259415e+70
 1.80396070e+76
 3.07159462e+81
 3.32016100e+84
 1.93146613e+106
 1.51756739e+93
 1.00933819e+81
 Inf
 Inf
 2.53447994e+84
 2.30118849e+90
 1.14180236e+109
 5.86210338e+97
 2.34239368e+98
 5.90665430e+94
 2.16569743e+88
 4.78135340e+97
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 1.65337073e+90
 1.33241412e+81
 1.06507389e+104
 3.65471363e+91
 6.21796901e+73
 7.58788474e+75
 1.59677530e+76
 2.19580817e+79
 1.75359581e+72
 7.99929128e+72
 4.67950741e+81
 5.72190159e+71
 5.39995072e+68
 1.36667701e+75
 2.91059753e+77
 4.30129244e+79
 2.98400407e+76
 3.82670473e+90
 9.71272798e+105
 1.56919002e+89
 8.73557384e+91
 2.13592740e+96
 2.59167595e+96
 7.25471186e+119
 1.66943713e+114
 2.59566033e+112
 2.63465717e+111
 1.17450432e+84
 1.27018131e+82
 1.39027555e+87
 2.13663720e+99
 7.74837803e+105
 3.44174881e+294
 8.26748164e+275
 2.72422034e+122
 1.91371104e+140
 9.41103562e+136
 7.60550448e+113
 9.03636813e+108
 3.56434536e+124
 3.08145956e+119
 5.13640578e+104
 3.96040448e+99
 5.55923643e+123
 4.17396074e+118
 1.20010554e+164
 2.51213985e+166
 5.58828478e+118
 3.32029314e+117
 3.40125872e+94
 7.24962569e+101
 2.78615715e+128
 1.95811330e+106
 6.18088662e+91
 1.19000080e+87
 3.59625369e+92
 3.80408385e+96
 1.04431413e+92
 2.85225730e+103
 6.37163219e+133
 7.58788078e+128
 4.17903441e+118
 2.12280194e+136
 4.59116735e+110
 1.38248104e+102
 7.56835392e+123
 3.39089829e+135
 1.36499286e+137
 4.59186998e+110
 2.75722923e+116
 5.65819231e+95
 4.36971855e+76
 1.94437726e+82
 2.51688053e+79
 2.35577727e+67
 1.29392763e+65
 1.73695218e+77
 8.59766576e+75
 1.15278717e+81
 8.30886792e+89
 1.92530375e+80
 4.93048466e+76
 3.51383961e+88
 4.27340832e+87
 1.24178546e+92
 1.68238794e+110
 6.18446972e+105
 9.76509455e+105
 2.34306820e+94
 1.48514041e+92
 3.42497733e+108
 9.38053316e+131
 1.48644955e+163
 6.63834022e+155
 7.63032424e+113
 1.21069236e+96
 1.34669874e+121
 2.76526037e+116
 9.40990100e+112
 3.78887301e+132
 2.66430579e+95
 1.83061851e+84
 4.90447246e+109
 7.55514165e+113
 4.28758437e+98
 1.04029460e+108
 1.89240590e+57
 9.63405837e+51
 1.78885591e+84
 4.05783355e+104
 4.46578923e+113
 1.15081103e+109
 6.18238267e+105
 1.34825946e+94
 1.03856929e+108
 1.22935830e+106
 6.20095730e+106
 8.59623985e+94
 7.21697319e+81
 4.33417492e+108
 1.03236764e+124
 2.61073820e+96
 3.10400873e+101
 4.62722949e+96
 3.86095620e+109
 7.24078701e+111
 9.64534862e+87
 3.82355131e+101
 3.66355725e+147
 3.39322443e+276
 8.00760745e+129
 7.12324790e+85
 4.24905489e+98
 3.94196298e+97
 4.34455959e+111
 3.03955008e+109
 3.91728770e+105
 4.46710791e+133
 3.84692270e+100
 5.93976639e+74
 7.59138130e+75
 4.22865194e+89
 1.24132351e+107
 2.48410055e+105
 1.17061301e+99
 2.53916020e+80
 1.35062212e+84
 3.79274538e+100
 1.86169749e+109
 4.92023264e+105
 1.64289832e+87
 4.35861981e+76
 8.22527423e+82
 2.32896940e+98
 5.10554768e+104
 1.22108018e+97
 3.23735559e+97
 4.51264179e+84
 2.66920059e+70
 9.63489568e+72
 3.05987208e+83
 5.32531325e+115
 1.08526388e+122
 1.67644457e+131
 1.81666260e+169
 2.38055406e+153
 3.16291175e+118
 4.94475380e+88
 1.51551628e+85
 3.01034463e+109
 2.39370495e+147
 3.01588868e+141
 1.70501198e+110
 1.23888908e+111
 4.38229867e+108
 7.50801962e+110
 1.59624534e+116
 1.74383994e+120
 1.13842937e+126
 1.92539100e+124
 4.12231546e+115
 7.78566544e+105
 6.20064695e+106
 1.09009023e+117
 2.78199472e+110
 5.05165301e+87
 1.65786623e+100
 1.04695939e+129
 7.55612900e+127
 1.26588936e+105
 1.48991788e+92
 3.00154301e+123
 2.29907768e+145
 7.35218879e+119
 1.73363328e+119
 9.80020823e+105
 2.65033970e+113
 4.44344895e+141
 1.28309860e+139
 1.36350971e+121
 3.12544450e+101
 8.99342642e+101
 1.86256952e+109
 1.24326153e+125
 1.87575831e+146
 4.51737988e+133
 1.55671753e+106
 2.81026342e+85
 8.18140418e+76
 2.59819304e+102
 1.45967697e+136
 1.22460372e+113
 1.01501835e+118
 7.25773161e+111
 5.65202592e+95
 2.15727580e+110
 5.52349883e+118
 1.87262023e+139
 9.56938652e+151
 3.22534127e+107
 8.25578842e+95
 7.75607340e+93
 5.20944278e+98
 5.59858960e+111
 5.60731899e+112
 1.07079651e+127
 2.68721093e+134
 2.54117263e+107
 1.34033264e+101
 2.38761936e+115
 3.35573906e+112
 4.09823589e+104
 1.21481379e+113
 3.13784676e+115
 9.35147467e+111
 4.77482651e+116
 2.32314836e+90
 1.53508322e+86
 5.75823676e+100
 4.49343165e+93
 1.20363929e+96
 1.48598513e+92
 2.57633761e+89
 3.04487954e+119
 3.69471606e+114
 1.46586288e+96
 5.76096128e+117
 1.35839417e+137
 9.30085327e+171
 5.88069880e+245
 4.03520325e+285
 1.75216557e+262
 5.88828423e+174
 5.68722915e+96
 5.39779940e+86
 7.19094759e+112
 2.06738693e+148
 1.05251109e+128
 1.33043311e+108
 6.38283931e+133
 6.20768244e+140
 5.42153231e+115
 2.45361672e+116
 2.67049653e+122
 9.86651270e+154
 2.79895644e+178
 6.65573796e+155
 4.20054996e+118
 1.03920308e+95
 2.73918174e+90
 9.49581457e+88
 1.12362366e+86
 3.36932720e+94
 1.20851612e+116
 1.24086626e+111
 1.35905357e+100
 4.54821480e+110
 1.58040423e+105
 2.48274730e+105
 5.60772462e+126
 2.68700667e+134
 1.58672214e+113
 6.92299631e+103
 9.31907477e+111
 3.02403777e+123
 2.36956094e+118
 2.17245969e+110
 3.55583287e+158
 3.11979693e+157
 8.35060640e+125
 8.26600694e+107
 1.29320029e+98
 1.67471402e+108
 3.44383654e+108
 9.89116864e+106
 3.44136024e+113
 4.70019348e+131
 1.54668924e+130
 9.17968585e+133
 3.00661654e+141
 1.36617138e+141
 2.32045991e+119
 7.53003936e+110
 1.74108718e+120
 7.68223125e+117
 3.31962319e+117
 4.81734259e+114
 2.35899816e+131
 2.68126602e+122
 1.49329671e+103
 2.35535953e+118
 2.03208502e+164
 2.20767948e+167
 8.80962050e+160
 3.04416063e+170
 7.92414254e+106
 9.63387955e+87
 3.82354949e+101
 3.49744403e+98
 5.00841917e+102
 1.23592677e+111
 1.85556847e+89
 1.47615728e+97
 9.21682020e+115
 4.92812953e+106
 7.32289734e+99
 6.45797781e+90
 5.82841357e+97
 4.03192910e+107
 2.64991198e+95
 1.06485265e+78
 3.16599278e+95
 1.34637537e+121
 1.48977902e+97
 8.35773130e+89
 3.77633191e+79
 3.71678631e+93
 1.56822233e+113
 3.32760856e+131
 4.95885708e+165
 7.13748687e+115
 7.79833481e+93
 6.45334076e+83
 5.64862019e+79
 4.96973341e+102
 1.58830494e+111
 1.17246394e+99
 5.80201880e+88
 8.65346561e+86
 3.54473537e+103
 2.16321211e+110
 4.56287776e+110
 1.08752108e+101
 3.27265026e+85
 2.46210351e+84
 2.79814493e+114
 9.34903494e+111
 3.82881380e+100
 1.04099667e+108
 5.40216387e+93
 1.08495033e+188
 1.86493458e+284
 4.13814425e+139
 1.17476389e+180
 1.51764988e+178
 8.16824194e+145
 3.16111339e+115
 9.65841621e+110
 6.01599817e+125
 7.17971962e+100
 1.57881566e+84
 1.13018691e+79
 9.56059511e+84
 1.06702095e+104
 2.58769358e+112
 3.26459385e+90
 1.24313669e+92
 7.20808542e+112
 1.17296095e+99
 1.61732578e+94
 2.31567340e+120
 1.05411350e+129
 2.51992378e+117
 7.84443000e+129
 1.51334298e+154
 3.75037832e+143
 2.02776406e+128
 2.35747497e+135
 1.45297488e+161
 6.01029029e+168
 1.48811146e+142
 1.88415994e+139
 2.55260904e+155
 4.47286280e+121
 7.20651066e+82
 3.34921700e+86
 2.28599735e+103
 3.90400071e+127
 1.09633296e+117
 2.12618756e+102
 2.70508326e+108
 3.34785456e+84
 4.90913208e+73
 1.54988682e+88
 5.88357375e+139
 8.93197334e+137
 1.40074934e+90
 8.65752879e+86
 3.24852176e+104
 1.70981974e+102
 1.67708245e+108
 7.65557981e+117
 3.20405554e+107
 9.33000541e+111
 7.51533354e+110
 4.81583079e+97
 9.71837725e+118
 9.36362635e+170
 2.38125198e+153
 1.90244703e+132
 2.68180479e+122
 2.31083998e+119
 1.22000082e+113
 4.38662544e+125
 1.57628034e+159
 2.92357995e+165
 1.22489922e+123
 1.01170707e+121
 4.45445006e+141
 6.71690401e+146
 1.47959808e+129
 1.21027084e+112
 2.22768394e+123
 2.62346407e+124
 6.41568475e+133
 1.51992437e+145
 1.16655650e+160
 7.85773236e+180
 2.47913192e+121
 1.91311464e+140
 5.39608785e+202
 3.16924354e+120
 7.77145101e+102
 1.32791266e+89
 1.21477402e+97
 1.44005431e+128
 9.06749104e+108
 7.55356654e+113
 1.10436276e+202
 Inf
 9.64010157e+172
 7.74419550e+132
 3.87163752e+101
 4.92478220e+88
 2.65276858e+97
 1.16772502e+99
 1.67528014e+108
 2.75513770e+116
 1.05290484e+129
 5.94883550e+138
 1.10498076e+130
 2.84283053e+127
 4.79419932e+116
 2.13838723e+108
 3.78286407e+132
 3.50011082e+145
 2.63647478e+124
 3.30226349e+121
 9.96256497e+150
 5.63609700e+143
 4.07424527e+139
 5.17694461e+178
 8.19974341e+177
 1.32856844e+185
 2.78931585e+139
 4.97025653e+148
 1.24388511e+215
 5.15420317e+197
 3.83656363e+206
 4.72222967e+261
 5.20364399e+201
 6.05095787e+168
 5.30861608e+162
 5.08082723e+157
 1.46078227e+161
 7.72359133e+148
 5.61011122e+187
 2.95194842e+209
 9.55455594e+172
 9.68472289e+191
 2.23032915e+180
 5.91029126e+203
 Inf
 Inf
 1.30895808e+167
 1.18966453e+255
 Inf
 3.13371772e+223
 1.93732790e+157
 8.89513522e+162
 Inf
 1.42480462e+298
 1.01057522e+155
 4.08345613e+139
 3.50734483e+184
 8.76536155e+210
 2.96354380e+209
 7.79505203e+233
 3.04078873e+253
 3.52849942e+254
 7.23642232e+226
 Inf
 Inf
 8.31401565e+275
 Inf
 Inf
 1.14673758e+162
 2.50001233e+143
 1.79689968e+179
 5.09762049e+279
 3.54661093e+189
 4.05016851e+192
 Inf
 7.79935540e+258
 1.96932538e+248
 7.26211403e+163
 3.03588895e+215
 2.76494042e+292
 1.51916625e+163
 2.33869986e+191
 5.51283369e+208
 8.81853333e+188
 2.62662719e+159
 7.09095649e+159
 1.77595822e+222
 1.74580695e+170
 6.51330959e-06
 6.51476349e-06
 2.01685939e+175
 3.50100066e+189
 4.02119046e+299
 Inf
 6.41826052e+179
 1.93622341e+140
 9.30913878e+171
 6.34101112e+262
 5.97365011e+245
 1.16052459e+212
 3.59384333e+294
 5.72145746e+143
 4.31271660e+98
 7.99900872e+145
 1.81889262e+184
 3.97233408e+127
 1.33031026e+108
 4.34910895e+177
 3.08035352e+223
 7.16338169e+176
 1.68071010e+171
 2.90485545e+137
 2.48739418e+143
 3.30172415e+142
 6.03370935e+130
 2.35391994e+208
 7.00463613e+241
 1.84820939e+184
 9.90108029e+173
 2.20009898e+234
 Inf
 9.94110300e+232
 1.10635813e+217
 5.95418554e+246
 Inf
 Inf
 2.77440356e+217
 1.09328754e+238
 Inf
 2.73633338e+267
 4.22279363e+287
 8.53998342e+239
 Inf
 5.21899599e+279
 6.18736208e+151
 2.69741656e+221
 Inf
 3.88944281e+206
 4.88055915e+211
 1.41796081e+190
 6.66725509e+155
 5.69936450e+190
 2.39047772e+251
 1.32213189e+138
 6.72805153e+78
 2.01430182e+127
 3.14531286e+238
 1.18184490e+279
 Inf
 Inf
 Inf
 3.79649422e+210
 6.88856003e+209
 1.70904468e+193
 2.10372318e+148
 7.07218790e+176
 6.90514489e+266
 1.93967261e+227
 5.76976041e+190
 Inf
 Inf
 2.25343013e+234
 1.50056575e+181
 6.56253273e+204
 1.49519838e+181
 8.91601729e+252
 Inf
 9.95469632e+185
 9.65371594e+151
 1.15112105e+191
 2.35121262e+191
 9.40665736e+171
 3.87582208e+176
 3.69414518e+237
 9.78569935e+158
 7.16080006e+108
 4.47186499e+113
 3.19905995e+125
 2.08528468e+242
 3.53467145e+189
 1.85619187e+115
 4.92717827e+106
 1.64162439e+143
 2.46297159e+270
 3.59911231e+260
 1.01152105e+271
 7.55292997e+205
 6.35218384e+179
 Inf
 Inf
 1.29627049e+237
 9.58133412e+183
 3.67640696e+182
 2.94898637e+209
 1.82653136e+216
 5.20778359e+214
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.94377076e+175
 7.91402379e+98
 3.96549566e+99
 1.40093276e+124
 2.34099428e+125
 5.03443903e+157
 2.77505076e+195
 2.19287774e+250
 5.17564940e+197
 5.94184271e+158
 1.58426365e+231
 1.75077111e+257
 1.06138041e+169
 1.32249531e+134
 8.28607121e+239
 1.03926738e+241
 5.70649747e+129
 4.27086448e+159
 9.68020788e+178
 4.31714419e+159
 7.72816041e+132
 1.04660275e+200
 4.44259919e+231
 9.45408881e+171
 1.03621091e+219
 1.18054147e+160
 1.46152659e+161
 1.08014454e+238
 Inf
 8.78130780e+284
 5.09096168e+185
 5.32359817e+162
 1.97086358e+192
 2.74401395e+233
 3.48793024e+168
 5.97855749e+152
 2.34022785e+201
 2.22540395e+188
 2.04384283e+141
 5.27704445e+162
 1.49746067e+163
 2.63224410e+150
 2.45826394e+202
 6.94675778e+266
 1.13320902e+274
 Inf
 6.01672270e+203
 8.86844437e+147
 3.22299435e+148
 1.60544822e+111
 5.07569467e+111
 4.77357192e+116
 8.05064911e+121
 4.19195885e+120
 6.25686098e+102
 3.86042036e+95
 6.37294819e+98
 7.03580900e+163
 4.57969585e+222
 7.00835686e+149
 1.22182654e+123
 8.06445299e+121
 2.63145470e+226
 3.46358340e+276
 4.20821936e+218
 7.26275755e+193
 1.04094547e+219
 1.79723258e+222
 1.92992304e+175
 1.05869542e+200
 9.73119177e+191
 2.57758333e+183
 1.05814703e+128
 3.98261885e+99
 1.18059927e+131
 8.21706524e+157
 2.03434178e+141
 4.86433925e+199
 3.05868240e+215
 1.05701881e+169
 7.87273776e+180
 5.49030995e+224
 1.10515510e+217
 1.50109435e+194
 Inf
 Inf
 7.89731217e+258
 Inf
 Inf
 Inf
 Inf
 Inf
 2.33325829e+241
 Inf
 Inf
 8.81393109e+284
 5.98929370e+203
 Inf
 Inf
 1.97976060e+248
 Inf
 Inf
 6.63137059e+242
 6.25246070e+243
 6.77291651e+217
 Inf
 Inf
 Inf
 Inf
 4.74713051e+289
 7.12272029e+293
 Inf
 1.19974852e+279
 1.89432304e+284
 Inf
 Inf
 Inf
 9.03673701e+263
 Inf
 Inf
 Inf
 7.54019292e+142
 3.43251339e+143
 2.12915250e+258
 2.74602645e+273
 3.35159329e+264
 1.82822043e+266
 1.23625768e+196
 4.95339473e+183
 8.58635624e+284
 Inf
 1.35117760e+185
 1.03629965e+147
 5.06408485e+157
 5.29997473e+160
 9.35530453e+171
 1.14617164e+168
 9.87236554e+173
 Inf
 1.05516655e+219
 3.73008810e+213
 2.73370563e+221
 2.00226845e+288
 Inf
 Inf
 Inf
 Inf
 Inf
 1.44474905e+298
 1.75432786e+262
 Inf
 Inf
 1.85431195e+235
 9.54367139e+152
 2.79500187e+239
 Inf
 Inf
 Inf
 1.92390279e+286
 2.29903271e+290
 Inf
 Inf
 8.94990348e+286
 Inf
 1.41175956e+228
 2.70405458e+226
 Inf
 Inf
 Inf
 Inf
 Inf
 1.22364526e+255
 Inf
 Inf
 1.77412039e+262
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51412841e-06
 Inf
 1.92991445e+246
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51404207e-06
 Inf
 1.48042226e+256
 Inf
 Inf
 2.80632995e+292
 2.86199499e+239
 Inf
 Inf
 1.36132743e+183
 6.85619608e+209
 3.32046833e+264
 4.17364890e+155
 2.78352401e+156
 2.05390972e+164
 3.47846817e+175
 7.57769331e+240
 4.11703164e+283
 3.35531887e+264
 3.57792443e+184
 1.53041430e+154
 4.11741425e+155
 2.51814578e+163
 2.69695345e+217
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51396330e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51440155e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.53309256e+232
 2.95741123e+204
 8.15963834e+275
 Inf
 Inf
 Inf
 Inf
 5.26573978e+214
 Inf
 Inf
 Inf
 Inf
 6.51435969e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.49772629e+269
 Inf
 6.51441098e-06
 6.51517323e-06
 Inf
 4.12048056e+268
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.75265872e+240
 5.50052709e+202
 7.97364106e+251
 Inf
 Inf
 Inf
 Inf
 Inf
 6.33768931e+243
 2.11650911e+224
 7.07059579e+189
 6.05131461e+247
 4.75394334e+261
 8.87063140e+188
 5.39341698e+170
 3.89457255e+154
 2.70902502e+212
 3.90017219e+176
 9.87127206e+169
 Inf
 6.79940747e+249
 8.23069395e+145
 6.51314269e-06
 6.51519053e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.20522994e+258
 5.78852314e+190
 4.20104291e+220
 2.26138675e+280
 Inf
 2.54566195e+270
 2.69263770e+252
 Inf
 Inf
 1.29940397e+237
 1.61178733e+210
 4.13893620e+255
 9.68433858e+288
 5.98987085e+245
 8.87963221e+286
 Inf
 Inf
 8.58201191e+239
 3.59156159e+240
 Inf
 Inf
 2.33592425e+241
 Inf
 Inf
 1.92334061e+247
 Inf
 Inf
 Inf
 6.51407884e-06
 Inf
 Inf
 6.51436871e-06
 6.51455533e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.19898791e+258
 6.51375244e-06
 6.51615440e-06
 6.51566313e-06
 6.51474413e-06
 Inf
 Inf
 Inf
 6.74076170e+272
 Inf
 6.51413357e-06
 6.51467121e-06
 Inf
 Inf
 Inf
 5.29309756e+235
 6.91233196e+209
 Inf
 6.51421427e-06
 Inf
 Inf
 Inf
 Inf
 4.52502344e+281
 1.12980670e+291
 1.94409113e+227
 1.73905117e+262
 Inf
 Inf
 1.93773305e+284
 Inf
 Inf
 Inf
 6.51404396e-06
 6.51444136e-06
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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 Inf
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