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 Inf
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 Inf
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 Inf
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 Inf
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 1.56520302e+227
 8.49662134e+258
 1.03632082e+261
 8.61472437e+175
 2.85793243e+224
 6.52045008e+179
 7.10819006e+99
 1.25556790e+113
 1.70832038e+145
 1.22795245e+178
 1.49171592e+109
 3.44930628e+56
 2.09066579e+54
 1.79121120e+76
 3.48498416e+77
 4.29773571e+58
 1.02950118e+53
 5.01997172e+66
 1.58040652e+57
 5.31466619e+45
 2.29403822e+53
 7.13552538e+79
 5.16091651e+108
 4.70452431e+105
 1.69759053e+89
 1.42295657e+72
 3.12424434e+104
 2.55144441e+170
 2.50305882e+80
 1.35662224e+78
 1.84633453e+108
 1.73297040e+102
 1.59379910e+84
 8.10106728e+100
 1.52199509e+264
 2.44499204e+286
 3.44068076e+169
 6.13598387e+218
 Inf
 2.51327527e+03
 Inf
 1.75324268e+290
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329911e+03
 2.51335611e+03
 2.51328362e+03
 Inf
 Inf
 2.51339940e+03
 2.51355389e+03
 2.51350759e+03
 1.71125304e+227
 8.65546211e+141
 Inf
 Inf
 2.51327422e+03
 2.51327968e+03
 Inf
 2.51327444e+03
 2.51337725e+03
 Inf
 5.68609385e+264
 2.51327954e+03
 2.51330580e+03
 2.39264272e+161
 1.96826639e+89
 9.09104069e+79
 8.61416220e+95
 1.57078071e+124
 3.40691051e+89
 3.57630059e+85
 8.47422392e+87
 1.51175340e+78
 9.29504103e+70
 2.06628137e+65
 1.15307219e+61
 5.05347409e+61
 7.66290414e+89
 Inf
 2.51370732e+03
 2.51466924e+03
 2.51359867e+03
 2.51330371e+03
 2.11904322e+180
 3.74810230e+76
 5.59419084e+67
 2.46798199e+74
 1.23423028e+84
 6.02771679e+86
 4.66435834e+105
 3.77566759e+150
 6.82693151e+182
 4.43788204e+134
 1.38371531e+112
 2.50941125e+88
 3.08308371e+80
 4.15058217e+73
 2.99556389e+74
 4.99391698e+72
 7.46944371e+61
 1.08807042e+78
 6.73592362e+126
 3.25788944e+174
 4.25838177e+125
 1.53278348e+108
 3.97572131e+118
 8.28562005e+104
 8.91511557e+98
 1.71237030e+94
 1.51356937e+106
 6.39639107e+122
 1.10806467e+112
 1.64779150e+98
 3.76954083e+84
 1.34322067e+65
 3.05797445e+56
 9.60363953e+67
 3.61492843e+74
 9.66883891e+83
 4.32362564e+96
 2.75427207e+68
 8.15973456e+56
 7.58918272e+55
 2.45177134e+56
 2.19751262e+54
 7.31457114e+49
 4.88300116e+54
 3.80961786e+77
 3.16145534e+91
 9.10980956e+169
 2.51335273e+03
 2.51334197e+03
 2.51328502e+03
 Inf
 Inf
 2.54280328e+221
 2.12713823e+77
 9.32190620e+62
 2.24196303e+63
 6.18169997e+62
 2.42726256e+62
 4.52610119e+58
 1.41649626e+49
 3.81399230e+52
 5.51221531e+67
 1.27005143e+64
 3.16841225e+62
 6.66244692e+65
 2.84115433e+73
 1.91485899e+96
 6.77140755e+83
 3.64983207e+62
 3.38339626e+63
 5.82209465e+74
 8.43050958e+80
 3.08699533e+81
 3.49248696e+77
 1.40393152e+74
 2.44062477e+62
 7.10843991e+62
 2.53463964e+77
 1.15564038e+87
 1.37118111e+92
 3.32832240e+106
 1.08107937e+149
 1.00397151e+168
 2.55918101e+164
 7.65131099e+176
 2.31996952e+162
 4.42066613e+143
 1.32324789e+177
 6.11095880e+155
 5.27699077e+149
 1.57175674e+147
 1.62337896e+129
 2.83173034e+175
 2.73946122e+168
 4.73755579e+124
 7.27510646e+140
 4.48534946e+168
 1.33141342e+177
 9.73982566e+171
 2.59200165e+140
 5.26140484e+145
 3.96260774e+155
 1.01222241e+159
 3.56111040e+149
 8.24169788e+110
 1.06841965e+74
 3.99102639e+74
 1.66949424e+130
 1.87677844e+192
 2.34314766e+139
 1.10620832e+155
 1.33021291e+263
 2.35932992e+256
 1.13615276e+153
 8.39500947e+138
 2.44538318e+203
 4.85114717e+223
 2.28944083e+254
 6.50017805e+180
 5.30053464e+149
 2.65590358e+250
 Inf
 Inf
 Inf
 3.88663242e+268
 Inf
 Inf
 Inf
 Inf
 2.51327690e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.28239975e+284
 Inf
 2.51327416e+03
 2.51327413e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327417e+03
 2.51328836e+03
 2.51327669e+03
 Inf
 Inf
 Inf
 1.60899031e+159
 2.31210872e+162
 1.41634461e+246
 2.70756294e+230
 1.58916155e+148
 1.96163460e+236
 7.01685962e+274
 1.94899773e+157
 4.05058612e+183
 1.10238532e+196
 2.71329758e+198
 1.25002218e+104
 4.94823114e+59
 3.40015993e+38
 3.64496653e+43
 1.95360906e+76
 2.84163376e+119
 Inf
 2.51354970e+03
 2.51375711e+03
 2.51333941e+03
 1.70694657e+229
 2.03061214e+100
 1.13769053e+80
 5.86643289e+89
 8.31382909e+96
 7.94012673e+42
 5.50106055e+28
 3.35930345e+29
 4.58995554e+28
 1.48302911e+29
 7.04416572e+29
 1.23035012e+28
 4.74076228e+27
 4.18092032e+28
 2.96882407e+43
 1.14259852e+96
 9.69973146e+44
 1.46557223e+29
 5.63095711e+29
 9.42600925e+28
 8.58997289e+28
 9.25317329e+27
 7.51800017e+28
 2.61471845e+30
 7.79253543e+29
 2.33144183e+52
 8.70344494e+106
 5.84791617e+40
 3.21830501e+29
 4.52817147e+27
 9.90819569e+26
 7.45940542e+26
 9.80518134e+25
 1.19951866e+27
 5.95039896e+27
 2.38241816e+28
 4.88529609e+52
 2.12853394e+126
 1.88083303e+38
 9.22448739e+25
 6.65776040e+26
 1.07146790e+27
 1.81960598e+27
 5.62965842e+28
 1.45886040e+30
 9.31658142e+28
 2.57552849e+28
 1.59552823e+45
 2.48998205e+77
 2.53713427e+36
 3.67613794e+24
 3.47353375e+23
 3.03701316e+24
 2.23207379e+24
 1.65698886e+24
 9.55130997e+24
 4.70347685e+26
 7.28830819e+26
 2.65184177e+48
 Inf
 4.07124048e+60
 7.84834932e+30
 1.02307190e+29
 5.58769074e+30
 8.36910608e+32
 4.74508426e+32
 7.71704848e+30
 6.12118031e+28
 1.84083736e+29
 7.12069362e+64
 Inf
 3.38487984e+55
 6.88398607e+29
 2.78346531e+27
 1.35151528e+28
 4.15246679e+27
 1.66479558e+26
 8.96418140e+24
 1.19308971e+23
 1.34274527e+22
 5.96725646e+35
 1.67796585e+80
 3.03190884e+40
 6.39577288e+24
 3.01960137e+21
 1.66045542e+22
 3.71449586e+21
 1.11522167e+22
 2.44462477e+22
 7.57167112e+21
 1.11619901e+22
 4.95051336e+36
 3.17859829e+101
 1.31222561e+60
 2.01110748e+67
 3.70894292e+153
 2.29235267e+74
 3.48196874e+55
 2.41775934e+38
 2.32440450e+42
 4.15174123e+117
 1.91629790e+45
 3.93435726e+26
 3.92042122e+40
 1.56179974e+67
 5.55752988e+53
 2.55450734e+97
 2.34165468e+163
 5.74457474e+68
 1.04935018e+56
 6.46345509e+46
 4.66545904e+62
 3.88819973e+225
 1.46659348e+62
 4.87955148e+41
 2.59550990e+39
 7.43186221e+33
 7.16242388e+30
 4.11341923e+35
 2.64128032e+27
 9.19906629e+18
 2.77945331e+28
 2.40424564e+45
 8.26013670e+23
 3.86842307e+18
 6.74662706e+29
 3.47981260e+104
 1.54987060e+62
 6.22085710e+59
 3.73848663e+104
 5.75451381e+37
 3.62786184e+32
 1.82051130e+66
 2.65965607e+33
 2.94499071e+32
 2.09154139e+103
 4.15636686e+130
 2.44476270e+63
 3.77696305e+63
 1.95076329e+100
 5.88090366e+38
 8.94882005e+34
 2.03792126e+85
 5.05813082e+46
 1.17976182e+31
 2.18679895e+40
 2.01219306e+49
 3.64089454e+50
 4.02651351e+75
 9.91551058e+112
 1.43410269e+70
 3.84819479e+59
 2.50539266e+51
 2.85892365e+48
 4.69550994e+80
 5.77832846e+101
 1.25692626e+83
 3.78391194e+98
 3.59098831e+140
 5.53182950e+195
 2.35543555e+134
 8.00449612e+84
 8.94832518e+89
 7.84337418e+108
 2.00412324e+94
 1.28170574e+86
 3.61099197e+30
 6.38783226e+18
 1.16001078e+26
 3.71980527e+27
 4.55332298e+18
 9.56072443e+18
 4.17799567e+28
 3.89711361e+30
 1.50787748e+19
 7.24845433e+27
 1.73330684e+72
 1.87127452e+57
 4.98714662e+29
 8.80514600e+32
 4.62178874e+145
 2.88047424e+54
 1.00188183e+28
 3.52963067e+40
 8.57150653e+123
 2.39004011e+101
 1.12900533e+50
 1.15999419e+47
 3.16077659e+52
 1.57939650e+32
 6.80884199e+32
 1.74983162e+48
 1.74368759e+41
 2.16782486e+54
 3.73149613e+67
 1.32803093e+43
 6.31147288e+33
 2.17615930e+32
 5.16608752e+32
 1.90105261e+32
 9.47808944e+32
 4.10075016e+33
 7.74969622e+34
 4.87290483e+36
 2.10648333e+39
 1.21275629e+39
 1.45965640e+36
 1.91921198e+38
 9.62367827e+40
 4.29163345e+38
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 2.20862920e+40
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 1.83676279e+28
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 7.25020606e+21
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 6.46137915e+25
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 4.37831708e+22
 4.57213232e+17
 3.46499922e+23
 2.19168559e+35
 1.09467354e+33
 7.89836967e+34
 3.43559638e+36
 1.35055766e+30
 1.11476313e+28
 2.36991311e+24
 2.28873613e+23
 3.95085983e+33
 2.08934387e+34
 4.98497330e+24
 1.48922426e+26
 5.47903624e+34
 5.68193569e+36
 2.85848462e+32
 1.68124228e+34
 2.92499993e+39
 9.62677559e+41
 1.43566010e+43
 1.02721037e+33
 1.01356831e+28
 4.95026171e+28
 3.63309984e+26
 1.90971503e+29
 2.65854346e+29
 2.65438702e+27
 4.70314334e+33
 1.34186366e+31
 7.92873788e+33
 2.77645282e+41
 1.80516252e+35
 4.03666918e+53
 4.74686768e+63
 4.06225023e+67
 5.41689164e+57
 9.23225970e+34
 4.03452246e+53
 2.40651345e+52
 7.17627148e+43
 8.01277564e+45
 2.10298532e+37
 2.56761048e+51
 2.72672281e+42
 1.75455347e+38
 2.48136462e+46
 4.16625490e+43
 3.93668679e+86
 9.75861467e+65
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 2.79591408e+50
 7.86539364e+100
 1.03984497e+117
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 1.61353964e+62
 2.10285299e+59
 1.45550769e+52
 2.38358018e+60
 6.71934602e+46
 2.41426422e+46
 3.97921617e+47
 1.49924701e+44
 1.36115760e+46
 3.60653485e+48
 1.36609695e+46
 2.17766067e+47
 4.63207265e+54
 6.81977965e+66
 1.58050108e+57
 2.49276701e+40
 2.19131513e+37
 2.05113704e+36
 2.31718709e+28
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 2.58341235e+37
 2.28815627e+41
 1.83814202e+33
 1.58345154e+32
 2.37026438e+30
 1.10675408e+33
 1.19340765e+41
 1.68489934e+39
 2.13974159e+37
 2.07151834e+35
 2.29999416e+46
 1.74166794e+51
 3.72592264e+40
 1.08321845e+42
 3.70126127e+40
 2.86970897e+42
 7.64964104e+48
 8.63768573e+41
 2.17227214e+39
 1.48007640e+38
 2.39411276e+40
 6.33436404e+44
 8.54025537e+42
 1.46781008e+41
 4.08736026e+38
 7.30393314e+40
 1.13637352e+46
 2.16365752e+48
 1.15469521e+50
 5.82880589e+51
 6.10061412e+52
 9.62534103e+47
 5.62332283e+36
 2.54084163e+36
 9.06666560e+36
 4.10005662e+36
 3.55015931e+46
 1.15641667e+47
 9.97409536e+41
 1.56170163e+37
 2.77282164e+36
 1.01712797e+43
 1.91883248e+48
 2.83439099e+45
 9.65603947e+42
 4.78786050e+52
 1.25758988e+67
 1.34486474e+54
 3.32877242e+49
 5.97707747e+54
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 8.40348051e+60
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 3.93451807e+43
 3.87542221e+31
 3.16902700e+28
 8.15673872e+34
 2.90557719e+35
 1.07340497e+34
 3.22957848e+35
 5.69597758e+44
 1.98193647e+67
 2.94494700e+115
 1.71024514e+150
 1.27321791e+151
 7.50725893e+88
 3.50431098e+39
 1.97182832e+34
 4.55992564e+40
 4.04288300e+49
 2.93956131e+67
 3.14141800e+91
 5.00879188e+93
 1.94167410e+89
 1.25139836e+73
 2.43956095e+62
 6.94312387e+60
 1.32883264e+65
 3.15846908e+98
 1.74781945e+119
 4.52255344e+107
 1.26183268e+94
 9.04153645e+60
 5.08294189e+58
 1.59971999e+49
 5.37759119e+43
 1.45702048e+73
 1.89969179e+111
 3.15740481e+96
 8.51197042e+88
 5.23496942e+68
 7.82956666e+53
 2.72912118e+51
 3.56579165e+47
 2.38643242e+49
 1.21636448e+56
 1.66713472e+52
 6.95015883e+43
 4.34544799e+39
 3.08474249e+46
 3.16073176e+61
 5.28567722e+71
 1.19662734e+70
 1.22855395e+68
 1.12431355e+66
 9.53853109e+60
 3.70652138e+60
 1.14958387e+65
 1.29706124e+70
 2.57022346e+54
 9.29442551e+45
 7.04323594e+47
 7.01191431e+36
 4.50351567e+30
 1.11170210e+39
 1.10922570e+48
 3.11031396e+48
 1.60006688e+44
 1.59136525e+42
 1.89133502e+52
 1.03569555e+68
 1.26444589e+75
 1.51663305e+53
 4.31394554e+47
 2.59634478e+46
 1.07671394e+32
 4.25528460e+26
 1.78497096e+29
 7.50983700e+36
 1.68831803e+40
 2.29331055e+37
 5.21926000e+36
 9.40434903e+37
 7.96097446e+45
 5.52665369e+52
 8.15134051e+53
 1.62499136e+50
 1.82017684e+52
 4.60737701e+52
 2.06969288e+41
 3.09058668e+37
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 1.60705948e+86
 1.45259880e+163
 2.51330687e+03
 2.51340799e+03
 2.51328249e+03
 2.51374065e+03
 2.51451852e+03
 2.51410169e+03
 Inf
 Inf
 Inf
 1.27133884e+157
 1.61850599e+127
 4.35584692e+97
 2.06018724e+124
 1.69168804e+126
 6.00032305e+85
 4.03458314e+86
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 9.39685687e+151
 2.49184666e+113
 2.68092724e+61
 5.12831412e+51
 1.36281696e+53
 1.47512482e+61
 6.89039608e+71
 3.63560859e+46
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 3.50641665e+36
 8.11213190e+36
 4.49614248e+34
 9.04758297e+36
 7.01465524e+33
 2.90556668e+28
 2.35773139e+35
 5.04444388e+42
 2.09808876e+37
 1.58660018e+36
 1.22053007e+44
 1.39090800e+54
 2.42389638e+53
 9.73722113e+40
 4.01599179e+29
 9.91242106e+29
 4.30624272e+37
 2.05544972e+44
 6.50365735e+37
 2.86124367e+32
 3.81056975e+33
 5.03381078e+34
 2.71513367e+34
 4.00526679e+32
 1.26717104e+34
 3.14649917e+36
 1.02017706e+40
 1.46371719e+41
 5.76544369e+39
 2.22365669e+39
 2.65710987e+39
 7.62273673e+48
 1.46903281e+48
 1.87391876e+34
 7.97900995e+32
 1.80001131e+39
 3.31193461e+40
 3.30954779e+34
 6.49691142e+33
 1.03863129e+45
 3.20074081e+48
 2.89438377e+46
 5.74458117e+40
 3.06470444e+34
 3.98455050e+43
 1.34809556e+44
 2.47943938e+42
 8.83631105e+47
 6.59591306e+40
 4.41216647e+45
 2.49821948e+58
 7.33198878e+49
 9.05761384e+38
 1.54070480e+32
 6.37845296e+22
 6.91537438e+20
 3.23037119e+25
 4.74405986e+31
 2.12576758e+36
 7.48744189e+40
 1.64270416e+44
 1.06577471e+38
 7.60350841e+32
 1.29121961e+37
 5.74091829e+39
 1.68278248e+39
 4.15559233e+35
 1.85987441e+37
 3.50772383e+51
 6.97302907e+50
 2.25005353e+41
 1.91547423e+48
 3.31476123e+49
 2.18171531e+57
 1.67154800e+64
 1.63271812e+47
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 2.12663762e+62
 2.52631947e+46
 5.15299001e+48
 7.48062778e+62
 1.31430928e+82
 8.20585826e+166
 Inf
 1.89655326e+125
 1.11609033e+70
 1.66031678e+65
 2.20802463e+54
 1.06292807e+58
 1.68525967e+58
 1.67261750e+64
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 2.00017122e+70
 6.64587990e+69
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 5.67267910e+189
 9.41455802e+169
 1.62733613e+149
 4.72244664e+124
 1.19574529e+115
 2.29440652e+83
 5.18501948e+67
 8.48464466e+55
 2.34135219e+67
 6.94186601e+92
 3.69760890e+64
 4.92836992e+54
 4.69987054e+62
 6.08748696e+69
 2.64947097e+61
 5.41355205e+48
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 7.67357139e+65
 1.23734875e+77
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 1.70318777e+63
 7.94085301e+59
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 2.35103086e+82
 1.09212207e+107
 5.13042034e+96
 9.67367396e+115
 5.06712703e+191
 1.04890894e+230
 Inf
 Inf
 Inf
 2.51331897e+03
 Inf
 3.84412484e+304
 Inf
 Inf
 7.78854355e+256
 5.79104296e+150
 1.02941338e+104
 4.99851185e+87
 1.30450184e+85
 4.68238847e+70
 1.87373465e+59
 2.20857593e+53
 1.28870750e+55
 1.55884413e+50
 2.39029884e+45
 1.39114776e+47
 8.68362069e+40
 3.79832152e+40
 2.61247832e+47
 1.30831578e+48
 7.15767216e+37
 6.62893110e+29
 7.40844339e+34
 1.55116596e+39
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 5.72575677e+32
 3.47938991e+41
 1.02984848e+48
 4.99812977e+38
 1.86179748e+45
 9.76271285e+62
 3.74723358e+73
 1.48699470e+82
 8.73310639e+82
 3.11198648e+123
 3.10432151e+130
 1.72236238e+112
 8.71843221e+95
 1.84802442e+92
 9.24387148e+78
 1.10835060e+62
 2.06205949e+77
 2.11688789e+129
 9.07606639e+143
 5.77579262e+111
 7.11429789e+96
 3.87937403e+92
 2.28053457e+83
 1.01737908e+77
 7.25684816e+79
 2.07844552e+90
 4.11160224e+71
 3.47435568e+68
 6.70109480e+89
 3.32889324e+95
 4.92579949e+88
 1.05573708e+82
 1.15211891e+91
 3.65245598e+97
 8.85746844e+91
 1.36806646e+90
 6.00528560e+97
 4.61201935e+120
 2.08904652e+137
 6.56125187e+118
 5.39869856e+123
 1.57422746e+135
 5.67468138e+117
 2.23892388e+109
 6.76942544e+65
 3.08292383e+60
 1.45133592e+99
 6.37827312e+122
 9.00664701e+133
 1.21345450e+127
 2.39161585e+101
 1.34535994e+107
 4.47643064e+165
 2.48862516e+221
 2.30241405e+173
 1.07902697e+147
 3.01217999e+135
 9.14900694e+126
 5.23818812e+149
 1.21392366e+171
 2.18526671e+121
 3.19021085e+69
 6.20856528e+56
 1.47237093e+67
 2.34995125e+91
 4.03926203e+206
 2.51359191e+03
 2.51429854e+03
 2.51340081e+03
 Inf
 7.91207606e+120
 1.81903713e+109
 1.00532023e+102
 1.55303387e+116
 5.17986871e+306
 Inf
 5.74077063e+169
 6.22299340e+124
 4.35364501e+97
 2.49930417e+88
 2.32280565e+94
 7.67303946e+120
 3.59719381e+192
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 1.18411763e+132
 1.33365221e+122
 2.31052865e+139
 5.21036842e+126
 7.05293378e+99
 4.02197624e+100
 2.98138128e+114
 1.28058972e+140
 7.80353226e+149
 3.01024752e+111
 3.51288436e+149
 4.18713588e+225
 8.63429278e+188
 1.55995528e+201
 3.68194592e+70
 2.08080181e+69
 4.05193033e+196
 1.18016289e+179
 1.30128464e+74
 2.80434888e+43
 2.07019875e+59
 7.81656337e+112
 1.71935052e+94
 3.68292609e+91
 1.39938544e+156
 Inf
 Inf
 Inf
 1.76513709e+150
 3.04419277e+115
 5.99112776e+120
 6.37168623e+98
 2.43366099e+95
 1.87927172e+157
 Inf
 Inf
 2.51333154e+03
 2.51392748e+03
 2.51485094e+03
 2.51603754e+03
 4.19925072e+47
 3.47663719e+21
 1.89269759e+22
 6.68421333e+19
 5.19305481e+20
 3.22953119e+21
 8.13977864e+22
 6.24629356e+20
 7.31864022e+17
 3.52447427e+18
 6.39286029e+16
 2.07369322e+15
 3.36565512e+15
 2.39067780e+15
 1.08639793e+16
 7.34713031e+15
 1.17723704e+15
 1.59267642e+14
 1.09836608e+13
 5.14198079e+13
 2.56536005e+13
 1.11101923e+14
 7.08254271e+12
 2.80034068e+12
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 9.17269694e+11
 1.32814924e+12
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 4.74328302e+12
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 1.83914605e+13
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 1.82552297e+13
 3.36981497e+13
 1.90983126e+14
 8.68463306e+14
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