8.31409259e+45
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 6.83027602e+126
 2.70562468e+168
 7.15072150e+157
 1.63595471e+172
 2.27189631e+212
 3.84754358e+289
 Inf
 6.12511245e+221
 4.59677144e+188
 Inf
 4.26614033e+246
 4.65623266e+263
 Inf
 2.15720205e+233
 1.40406841e+167
 7.40490643e+165
 7.40025243e+283
 Inf
 9.91730506e+248
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.43362645e+252
 2.14278513e+217
 1.78327978e+231
 1.25069178e+183
 1.97497744e+206
 1.38214159e+303
 Inf
 Inf
 Inf
 2.51327587e+03
 2.51345775e+03
 2.51365043e+03
 2.51384658e+03
 2.51403961e+03
 2.51398492e+03
 2.51408729e+03
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 2.51474775e+03
 2.51407835e+03
 2.51338772e+03
 2.51344849e+03
 2.51351829e+03
 2.51327424e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327507e+03
 2.51327817e+03
 2.51335668e+03
 2.51331210e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.18854993e+262
 2.30907800e+255
 2.73021387e+191
 2.69091378e+158
 9.08168961e+133
 3.34074113e+112
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 2.35139258e+160
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 1.94118593e+265
 1.05659292e+226
 9.26991591e+259
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 3.84494849e+178
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 6.06117288e+141
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 1.39962540e+101
 8.10029759e+94
 2.09157469e+90
 1.41125119e+83
 2.26038107e+74
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 5.46476071e+73
 4.46201248e+71
 4.98706567e+72
 7.20636691e+77
 1.81923994e+76
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 2.26434440e+83
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 1.67525681e+81
 2.35276538e+81
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 1.79059324e+38
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 8.75610935e+42
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 1.35899006e+44
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 6.66685264e+51
 6.31439918e+48
 1.15516684e+50
 7.60439162e+49
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 1.51444274e+52
 1.12718677e+51
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 3.57852049e+56
 1.48233269e+63
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 1.41479184e+70
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 6.65475665e+78
 1.67551537e+82
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 4.67271592e+131
 2.32917640e+134
 9.18389670e+205
 7.00813443e+187
 1.10327387e+196
 1.70739093e+290
 Inf
 Inf
 Inf
 3.05404142e+242
 1.31447661e+188
 3.66824357e+179
 5.16865466e+191
 2.32545832e+162
 1.04055221e+141
 3.86790299e+153
 4.02862521e+177
 1.91327108e+209
 8.53630709e+242
 5.38247301e+301
 Inf
 2.51327631e+03
 2.51327419e+03
 2.51327745e+03
 2.51331366e+03
 2.51339591e+03
 2.51341837e+03
 2.51352721e+03
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 2.51339452e+03
 2.51333201e+03
 2.51330474e+03
 2.51331486e+03
 2.51334779e+03
 2.51332110e+03
 Inf
 Inf
 2.51327417e+03
 2.51327939e+03
 2.51328178e+03
 2.51331689e+03
 2.51338112e+03
 2.51337597e+03
 2.51344932e+03
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 2.51329578e+03
 2.51330169e+03
 2.51332596e+03
 2.51334565e+03
 2.51330371e+03
 2.51328014e+03
 Inf
 Inf
 1.60609805e+308
 2.49736104e+271
 Inf
 1.47838301e+237
 9.11953779e+199
 6.65015639e+173
 1.23588940e+169
 2.29609411e+253
 Inf
 1.82167790e+283
 4.25503346e+206
 9.74575859e+174
 1.88935082e+208
 1.19365163e+232
 3.96326532e+237
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 1.94233271e+209
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 Inf
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 Inf
 2.51327484e+03
 Inf
 2.51347876e+03
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 Inf
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 2.52041603e+03
 2.51982847e+03
 2.51980098e+03
 2.51992014e+03
 2.52005432e+03
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 2.51881692e+03
 2.51921194e+03
 2.52075485e+03
 2.52056374e+03
 2.51557898e+03
 2.51546080e+03
 2.51856237e+03
 2.51676391e+03
 2.51682153e+03
 2.51888259e+03
 2.51697891e+03
 2.51360665e+03
 2.51432480e+03
 2.51596527e+03
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 2.51673440e+03
 2.51653728e+03
 2.51671585e+03
 2.51622908e+03
 2.51759181e+03
 2.51807609e+03
 2.51785157e+03
 2.51827816e+03
 2.51857631e+03
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 2.51752601e+03
 2.51758637e+03
 2.51779671e+03
 2.51691420e+03
 2.51511049e+03
 2.51442498e+03
 2.51475742e+03
 2.51576996e+03
 2.51676415e+03
 2.51667098e+03
 2.51607396e+03
 2.51525049e+03
 2.51329350e+03
 2.01968965e+265
 Inf
 2.51340799e+03
 2.51440372e+03
 2.51346031e+03
 2.51336973e+03
 2.51329406e+03
 2.51329636e+03
 2.51400350e+03
 2.51379511e+03
 2.51329109e+03
 Inf
 2.51334618e+03
 2.51331406e+03
 2.51342835e+03
 2.51358744e+03
 2.51373524e+03
 2.51359754e+03
 2.51346117e+03
 2.51355599e+03
 2.51370210e+03
 2.51381542e+03
 2.51364921e+03
 2.51350282e+03
 2.51374884e+03
 2.51372713e+03
 2.51327701e+03
 Inf
 Inf
 Inf
 2.51335611e+03
 2.51360780e+03
 2.51369177e+03
 2.51362055e+03
 2.51345775e+03
 2.51340945e+03
 2.51351340e+03
 2.51360322e+03
 2.51363954e+03
 2.51346031e+03
 2.51356343e+03
 2.51390359e+03
 2.51435151e+03
 2.51410169e+03
 2.51365165e+03
 2.51356024e+03
 2.51341837e+03
 2.51337661e+03
 2.51331486e+03
 2.51328014e+03
 Inf
 Inf
 Inf
 2.51328697e+03
 2.51327883e+03
 2.51329607e+03
 Inf
 Inf
 2.51327570e+03
 2.51329295e+03
 2.51351731e+03
 2.51333739e+03
 2.51330169e+03
 2.51331813e+03
 2.51329577e+03
 2.51336309e+03
 2.51337982e+03
 2.51328126e+03
 2.51328544e+03
 Inf
 Inf
 3.43786475e+215
 2.38741004e+146
 2.81216340e+120
 1.21095191e+142
 7.52075878e+296
 2.08460374e+190
 6.69825447e+178
 1.08374214e+248
 4.35561593e+282
 1.48994734e+234
 6.73742422e+178
 1.22151720e+171
 1.53893404e+280
 2.42031745e+252
 9.04268561e+206
 4.60119564e+231
 3.48675364e+146
 1.52091188e+114
 1.05788386e+165
 3.65300199e+297
 1.04078956e+261
 2.58389707e+281
 1.58486695e+277
 1.07583505e+301
 8.63644299e+242
 4.22850381e+246
 Inf
 2.51328812e+03
 2.51330795e+03
 2.51327768e+03
 Inf
 3.13489366e+143
 4.06403516e+100
 4.94866866e+146
 7.17719719e+255
 6.45181778e+228
 6.70140783e+270
 Inf
 Inf
 Inf
 2.03264333e+236
 2.37377018e+266
 Inf
 Inf
 Inf
 1.07359642e+242
 7.45710052e+194
 1.00594826e+228
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.92378276e+208
 2.94799565e+136
 2.04994340e+154
 4.04751732e+183
 1.09460519e+199
 5.98391584e+221
 9.45495957e+169
 7.69983090e+130
 1.39503954e+131
 3.53432528e+142
 2.58649334e+155
 7.27240242e+142
 1.51988744e+114
 1.20683914e+102
 1.01267301e+108
 6.30708004e+131
 3.43130965e+146
 2.24890254e+126
 1.49494909e+104
 1.19829802e+114
 1.58201152e+124
 2.87259672e+77
 5.86643063e+74
 6.72645927e+80
 4.95648676e+87
 5.32023325e+98
 1.49380812e+93
 6.72163355e+107
 1.00490202e+102
 1.98665655e+101
 4.69287523e+105
 2.33692954e+94
 2.47097536e+80
 7.81304385e+86
 7.64341060e+120
 6.14608101e+119
 5.73298664e+87
 1.90060650e+88
 7.44694536e+102
 9.18771821e+123
 1.10469940e+138
 4.23128794e+125
 8.48607026e+105
 1.22856519e+116
 3.15845553e+123
 1.10454270e+138
 2.46625485e+221
 3.42109838e+169
 1.60184714e+132
 1.88750601e+131
 6.46267597e+108
 4.03327074e+100
 1.47750927e+110
 2.74792473e+103
 1.94412774e+98
 9.73188635e+100
 4.28175961e+110
 4.85122675e+113
 1.83447188e+110
 2.37980155e+114
 2.13777300e+112
 2.12639177e+127
 1.84561149e+125
 7.55944733e+98
 2.14456956e+92
 3.65435886e+97
 4.79319345e+100
 1.72868974e+102
 6.41079153e+108
 2.86573088e+109
 5.15982182e+109
 3.87401001e+105
 1.25407477e+111
 1.90037564e+97
 2.41153401e+90
 4.57412024e+95
 5.24433278e+85
 6.96165325e+99
 1.13231497e+135
 8.26866152e+116
 7.54494060e+98
 1.67191445e+100
 2.16550835e+85
 8.81577047e+91
 3.78042248e+115
 8.29868363e+107
 1.08530051e+103
 6.93533420e+105
 7.17410608e+117
 4.53612972e+98
 5.70217043e+87
 6.89348992e+94
 6.96714171e+101
 2.70629612e+124
 3.88651903e+113
 9.55463377e+92
 6.90827495e+94
 1.46574134e+94
 2.19528838e+79
 1.58319606e+92
 2.28270451e+108
 3.76618304e+88
 2.77604490e+85
 5.97409898e+83
 7.77393011e+89
 2.68847438e+82
 1.68457355e+70
 3.29107024e+84
 5.67256145e+87
 1.20417063e+70
 6.11180645e+69
 4.07777359e+71
 6.70298489e+75
 7.25756024e+73
 3.83231198e+80
 1.28574372e+95
 8.73088910e+85
 1.88365384e+77
 4.09227122e+71
 9.43834680e+72
 5.91124985e+63
 6.96814766e+61
 5.33497001e+65
 4.16781163e+63
 3.15683939e+72
 5.31651439e+74
 1.24353852e+77
 2.05042429e+74
 1.18142594e+62
 7.11505160e+70
 1.39559690e+75
 7.81328020e+68
 2.40774560e+71
 6.56367018e+70
 1.40855366e+66
 1.30161266e+63
 7.39784299e+60
 4.73717916e+55
 3.21054090e+56
 2.62951337e+61
 1.42922389e+65
 6.19666911e+65
 7.13180239e+70
 5.52581537e+70
 1.40850455e+66
 6.46718781e+77
 1.70108565e+75
 2.36786404e+67
 8.01416710e+66
 8.67369334e+62
 1.37441705e+69
 3.14214875e+69
 9.07259014e+61
 1.33533554e+57
 7.00386088e+59
 4.05250455e+71
 4.41182376e+67
 2.44114142e+53
 6.90575267e+64
 2.04103088e+95
 2.06261454e+91
 5.83401773e+93
 2.48341585e+116
 2.08394581e+102
 5.47279950e+82
 8.12188796e+79
 5.27931713e+83
 3.95067608e+103
 1.54919891e+91
 4.70470391e+79
 5.42898881e+84
 2.71946098e+79
 8.02624639e+77
 2.65127189e+96
 9.66266769e+109
 8.89003531e+91
 5.54627641e+75
 2.25332212e+74
 1.69123089e+77
 1.41984057e+70
 3.47645273e+55
 8.57782222e+53
 4.17971229e+60
 8.12825346e+56
 1.43423788e+53
 3.36154128e+62
 7.81950799e+72
 2.98720271e+67
 4.02622998e+69
 8.72926741e+73
 2.04731967e+74
 3.12949117e+85
 7.90612840e+84
 1.09770451e+84
 4.05064709e+85
 1.71059472e+71
 3.42130999e+80
 1.53559416e+91
 3.16977297e+94
 2.48354086e+102
 5.79125322e+103
 8.91192758e+98
 1.86658019e+72
 6.55383874e+72
 4.64521877e+114
 1.69188468e+78
 1.08495244e+60
 1.67940713e+74
 1.26763956e+79
 5.00162956e+75
 1.69311069e+68
 2.82320452e+61
 2.89011706e+60
 5.98366301e+70
 3.16996178e+72
 2.82844005e+77
 4.30966585e+65
 1.44076203e+53
 5.81609693e+55
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 6.70348537e+76
 1.10444795e+71
 1.07560853e+65
 3.73706581e+66
 2.93444629e+81
 3.01329171e+82
 9.37701074e+81
 4.44230987e+89
 9.90305333e+85
 5.88352630e+77
 1.13682935e+73
 6.65578973e+69
 3.99078510e+65
 4.96689467e+65
 8.64044619e+64
 1.09596362e+70
 3.35798633e+79
 1.47216182e+99
 1.08271122e+123
 1.71931913e+112
 3.99414226e+103
 2.37667498e+100
 2.60442180e+84
 2.84360522e+77
 2.37494362e+73
 4.08291768e+67
 1.13347577e+68
 1.55597531e+90
 2.51403660e+131
 8.61984903e+131
 5.22255869e+102
 2.56809381e+89
 1.08879541e+72
 6.03963309e+67
 2.07000815e+77
 7.61343002e+62
 9.27118123e+64
 4.03943603e+76
 6.80199693e+63
 4.97876101e+56
 2.74379747e+65
 6.69892501e+93
 3.70517149e+94
 6.70404708e+78
 2.45887347e+76
 9.09864770e+61
 7.93490898e+59
 1.68333590e+75
 1.57733598e+84
 6.44344979e+88
 6.58679747e+91
 1.11031119e+71
 1.22911130e+68
 4.85914537e+71
 4.08191109e+71
 1.86330672e+81
 6.74767190e+80
 1.09903895e+95
 5.69724005e+111
 5.16463024e+109
 2.99706537e+102
 2.48679762e+99
 3.29984958e+103
 2.88313887e+119
 1.69119060e+134
 1.01129212e+102
 4.71693464e+81
 3.32960958e+76
 8.91147106e+89
 4.87755633e+122
 1.69092152e+126
 7.59170548e+90
 1.48035958e+60
 3.21930547e+56
 1.62198442e+66
 7.77544360e+70
 4.13229748e+73
 5.98699216e+72
 1.54185786e+70
 1.09908527e+70
 5.49593368e+75
 1.01402302e+77
 3.93372211e+70
 6.69934767e+75
 6.50216696e+77
 2.83913483e+78
 1.02394006e+79
 6.58597741e+70
 2.71922217e+74
 1.40589031e+80
 7.42913327e+81
 3.56513449e+85
 1.78952682e+83
 1.96965420e+80
 9.18602151e+93
 2.22081949e+109
 1.48192677e+110
 2.71494444e+124
 3.89556881e+129
 2.93740192e+132
 6.37078318e+151
 3.72227328e+167
 6.54809064e+181
 6.41695541e+226
 2.07108404e+190
 1.07556385e+148
 3.88700164e+237
 3.47171261e+261
 1.47283195e+161
 6.07154162e+159
 9.66540107e+174
 5.05427422e+146
 2.40073688e+114
 3.85187159e+82
 4.59581767e+85
 4.04479229e+106
 1.36649087e+97
 3.88056609e+126
 5.75985694e+186
 8.84012021e+208
 1.19705370e+203
 3.25306109e+248
 Inf
 Inf
 Inf
 Inf
 Inf
 6.28081530e+239
 Inf
 Inf
 Inf
 7.75655567e+283
 9.66203513e+159
 1.45401232e+162
 2.31496521e+177
 1.08306546e+187
 1.60119058e+227
 Inf
 2.51330723e+03
 2.51328093e+03
 2.51331689e+03
 2.51335611e+03
 2.51328587e+03
 2.51328045e+03
 2.51327563e+03
 Inf
 Inf
 2.51328421e+03
 2.51344029e+03
 2.51355811e+03
 2.51380958e+03
 2.51388482e+03
 2.51362998e+03
 2.51366893e+03
 2.51338047e+03
 Inf
 Inf
 Inf
 4.39219090e+299
 5.75608768e+213
 7.91793042e+257
 Inf
 Inf
 2.51329032e+03
 2.51331210e+03
 2.51335956e+03
 2.51338308e+03
 2.51337096e+03
 2.51358633e+03
 2.51361359e+03
 2.51337853e+03
 2.51327413e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.26419529e+277
 7.20050488e+303
 1.00439566e+205
 1.86879493e+125
 5.98320960e+114
 2.40020427e+184
 Inf
 Inf
 7.56584616e+194
 1.12067701e+112
 1.78744462e+57
 1.32459856e+41
 8.56818822e+46
 3.69567462e+68
 1.23939590e+77
 3.64938032e+63
 6.61600777e+59
 5.04685453e+66
 4.37304746e+69
 2.43588839e+62
 9.92123776e+55
 5.52490461e+53
 6.30878186e+54
 4.77538233e+58
 1.73928157e+62
 1.40199300e+66
 2.26537716e+75
 1.54796586e+72
 2.65223541e+61
 5.87495758e+47
 1.50447738e+42
 1.40761570e+46
 9.01276673e+48
 1.00305114e+52
 6.44503324e+49
 2.37379102e+43
 4.12009881e+50
 1.20783288e+60
 2.25233760e+60
 5.32981768e+65
 1.40838387e+72
 4.08067751e+67
 1.75562118e+52
 8.35236197e+45
 5.35087142e+50
 2.17175214e+48
 2.89829376e+41
 2.28546227e+43
 8.31895087e+51
 3.16896145e+58
 4.76450995e+63
 9.32271639e+66
 9.61550435e+56
 5.62055325e+48
 5.60130655e+50
 5.57479101e+51
 1.82225013e+52
 1.34827316e+64
 3.40156255e+59
 1.86291736e+59
 3.77063652e+72
 1.55983834e+71
 8.69138278e+62
 4.32290090e+63
 2.09532436e+56
 4.32204285e+47
 7.81000900e+42
 1.06465508e+38
 7.57995187e+35
 6.21525756e+36
 6.88680022e+39
 1.38392095e+41
 3.90452671e+40
 1.44750495e+39
 2.33409737e+38
 3.74622251e+35
 3.26933022e+32
 3.01085544e+33
 1.07796521e+36
 1.11038300e+35
 1.73636234e+37
 8.49482874e+39
 1.32864709e+42
 1.39861131e+44
 1.39753584e+37
 6.85837082e+43
 3.96754607e+54
 1.18409821e+53
 1.91277592e+51
 1.95407985e+47
 3.54876220e+51
 1.23892023e+53
 3.46393683e+43
 3.83889741e+41
 1.38596894e+47
 1.58522375e+48
 2.69959436e+49
 4.89145760e+44
 2.34737218e+45
 1.14076349e+46
 6.52454341e+47
 2.83621612e+47
 9.58300276e+45
 7.67606327e+48
 4.88869401e+43
 2.11577958e+41
 1.33059416e+42
 3.76225364e+42
 2.40486655e+42
 2.59729258e+39
 2.50997308e+38
 1.09595547e+39
 1.52159785e+40
 5.35041629e+36
 8.09078655e+34
 5.34701024e+37
 1.82264466e+37
 7.73445957e+35
 4.19054051e+33
 4.65526807e+31
 1.43070190e+32
 2.75839420e+34
 2.26306422e+33
 2.94581335e+32
 5.10299461e+33
 2.37567783e+38
 1.46118012e+41
 4.01784922e+43
 4.28172014e+47
 5.42545413e+42
 8.41749943e+40
 1.10940059e+40
 1.13787513e+37
 1.15341637e+36
 3.41978306e+39
 1.64031787e+44
 5.38172526e+44
 9.12302675e+51
 1.05184295e+63
 3.25275970e+53
 2.54365856e+47
 3.59686062e+49
 2.29964580e+61
 5.32599837e+78
 2.77914930e+66
 3.19925836e+52
 1.75714409e+46
 7.04491030e+47
 4.51993814e+53
 3.26473530e+45
 1.68979638e+42
 1.22811720e+53
 3.71969140e+68
 8.59931524e+72
 5.81292428e+79
 8.02760134e+77
 1.33474065e+68
 4.15203967e+72
 6.69729437e+85