Inf
 5.86928268e+213
 2.51329135e+03
 2.51352026e+03
 2.51350661e+03
 2.51353123e+03
 2.51333059e+03
 2.51372851e+03
 2.51479402e+03
 2.51466198e+03
 2.51450524e+03
 2.51398495e+03
 2.51404303e+03
 2.51414941e+03
 2.51396496e+03
 2.51469042e+03
 2.51589399e+03
 2.51594376e+03
 2.51608397e+03
 2.51642011e+03
 2.51637048e+03
 2.51623254e+03
 2.51612415e+03
 2.51687260e+03
 2.51698722e+03
 2.51552495e+03
 2.51343706e+03
 2.51343313e+03
 2.26859539e+88
 8.91561038e+30
 3.30527260e+68
 3.54579107e+44
 1.30273305e+48
 2.51406415e+03
 2.51411319e+03
 2.51393554e+03
 2.51407478e+03
 2.51488606e+03
 2.51464342e+03
 2.51383609e+03
 2.51371522e+03
 2.51420418e+03
 2.51440799e+03
 2.51420609e+03
 2.51377242e+03
 2.51378358e+03
 2.51399167e+03
 2.51404312e+03
 2.51428048e+03
 2.51438272e+03
 2.51398327e+03
 2.51369048e+03
 2.51365904e+03
 2.51431264e+03
 2.51474300e+03
 2.51452958e+03
 2.51397326e+03
 2.51393399e+03
 2.51411259e+03
 2.51408545e+03
 2.51401202e+03
 Inf
 2.51327555e+03
 2.51451186e+03
 2.51476737e+03
 2.51440160e+03
 2.51398160e+03
 2.51351146e+03
 2.51348239e+03
 2.51392266e+03
 2.51391120e+03
 2.51355179e+03
 2.51329083e+03
 2.51328178e+03
 2.51328481e+03
 2.51332461e+03
 2.51396332e+03
 2.51413464e+03
 2.51370080e+03
 2.51363834e+03
 2.51352124e+03
 2.51335052e+03
 2.51340223e+03
 2.51406592e+03
 2.51479404e+03
 2.51486870e+03
 2.51525888e+03
 2.51527647e+03
 2.51536675e+03
 2.51525604e+03
 2.51465515e+03
 2.51468536e+03
 2.51474538e+03
 2.51483846e+03
 2.51463651e+03
 2.51414198e+03
 2.51439105e+03
 2.51466219e+03
 2.51453627e+03
 2.51466684e+03
 2.51471424e+03
 2.51465981e+03
 2.51409268e+03
 2.50351770e+03
 2.51425668e+03
 2.51398998e+03
 2.51417186e+03
 2.51447891e+03
 2.51477205e+03
 2.51439106e+03
 2.51396663e+03
 2.51435976e+03
 2.51469993e+03
 2.51439526e+03
 2.51493693e+03
 2.51348878e+03
 2.51339730e+03
 2.51495236e+03
 2.51417561e+03
 2.51431461e+03
 2.51474056e+03
 2.51449419e+03
 2.51450025e+03
 2.51405886e+03
 2.51425272e+03
 2.51521985e+03
 2.51539874e+03
 2.51489363e+03
 2.51470232e+03
 2.51482848e+03
 2.51588753e+03
 2.51457229e+03
 2.51331446e+03
 2.51338705e+03
 2.51349809e+03
 2.51337408e+03
 Inf
 2.51327435e+03
 2.51341988e+03
 2.51356024e+03
 2.51336973e+03
 2.51359303e+03
 2.51376822e+03
 2.51342370e+03
 2.51352223e+03
 2.51345435e+03
 2.51335554e+03
 2.51354970e+03
 2.51388170e+03
 2.51393236e+03
 2.51454751e+03
 2.51520604e+03
 2.51425667e+03
 2.51410718e+03
 2.51539271e+03
 2.51585564e+03
 2.51422346e+03
 2.51385717e+03
 2.51500950e+03
 2.51515960e+03
 2.51504635e+03
 2.51450744e+03
 2.51464342e+03
 2.51512399e+03
 2.51478174e+03
 2.51432688e+03
 2.51439520e+03
 2.51447455e+03
 2.51392909e+03
 2.51389738e+03
 2.51416622e+03
 2.51445935e+03
 2.51475022e+03
 2.51495756e+03
 2.51482353e+03
 2.51439739e+03
 2.51426066e+03
 2.51474778e+03
 2.51514844e+03
 2.51418321e+03
 2.51399001e+03
 2.51448983e+03
 2.51466457e+03
 2.51400350e+03
 2.51389732e+03
 2.51482356e+03
 2.51462484e+03
 2.51440373e+03
 2.51416623e+03
 2.51438058e+03
 2.51513754e+03
 2.51432891e+03
 2.51356989e+03
 2.51364797e+03
 2.51374202e+03
 2.51332417e+03
 Inf
 2.51348057e+03
 2.51360666e+03
 2.51361132e+03
 2.51376961e+03
 2.51403961e+03
 2.51374065e+03
 Inf
 Inf
 2.51352124e+03
 2.51359193e+03
 2.51384207e+03
 2.51466921e+03
 2.51496795e+03
 2.51453407e+03
 2.51422153e+03
 2.51454077e+03
 2.51480631e+03
 2.51451849e+03
 2.51462489e+03
 2.51509167e+03
 2.51472611e+03
 2.51433097e+03
 2.51508094e+03
 2.51594576e+03
 2.51512665e+03
 2.51451409e+03
 2.51432080e+03
 2.51473813e+03
 2.51483111e+03
 2.51479395e+03
 2.51547453e+03
 2.51564299e+03
 2.51552192e+03
 2.51742815e+03
 2.52084771e+03
 2.52123803e+03
 2.51892503e+03
 2.51876734e+03
 2.52042670e+03
 2.52032701e+03
 2.51880751e+03
 2.51875926e+03
 2.52051740e+03
 2.52091997e+03
 2.51870042e+03
 2.51849073e+03
 2.52044266e+03
 2.52109659e+03
 2.51864497e+03
 2.51847298e+03
 2.52194043e+03
 2.52110020e+03
 2.51868660e+03
 2.51912934e+03
 2.52058184e+03
 2.52040885e+03
 2.52078735e+03
 2.52006439e+03
 2.51801494e+03
 2.51664263e+03
 2.51646655e+03
 2.51726364e+03
 2.51847142e+03
 2.51675658e+03
 2.51553994e+03
 2.51658071e+03
 2.51646900e+03
 2.51501476e+03
 2.51547442e+03
 2.51796312e+03
 2.51852206e+03
 2.51732341e+03
 2.51544515e+03
 2.51539957e+03
 2.51586506e+03
 2.51682378e+03
 2.51927545e+03
 2.52109618e+03
 2.48580178e+03
 2.51931441e+03
 2.51955504e+03
 2.52075483e+03
 2.52086129e+03
 2.51934375e+03
 2.51931157e+03
 2.52148988e+03
 2.52105559e+03
 2.52059272e+03
 2.51963631e+03
 2.51918834e+03
 2.51580145e+03
 2.51590231e+03
 2.51927538e+03
 2.51544803e+03
 2.51417189e+03
 2.51356773e+03
 Inf
 2.51327817e+03
 2.51328652e+03
 2.51366645e+03
 2.51335725e+03
 3.62581560e+272
 2.27186803e+183
 8.48980796e+242
 3.88802228e+279
 5.34912403e+85
 5.67040607e+68
 2.23587195e+103
 6.70363720e+243
 2.80721014e+259
 1.60458945e+135
 1.58628215e+113
 5.95016575e+141
 1.48927705e+160
 7.12525433e+123
 8.50554275e+141
 2.38788403e+257
 4.81373514e+240
 3.83507448e+127
 5.81868874e+162
 Inf
 Inf
 2.51331094e+03
 2.51331689e+03
 2.51333541e+03
 2.51342524e+03
 Inf
 Inf
 Inf
 2.61106441e+164
 4.23679567e+141
 1.11799847e+153
 2.80517343e+165
 6.92438052e+100
 3.00347484e+107
 Inf
 Inf
 2.65307652e+155
 1.62590858e+129
 9.00511603e+259
 1.65940190e+172
 8.97947221e+111
 5.02113232e+142
 1.09110445e+196
 6.64634109e+173
 1.14600695e+180
 1.34770423e+173
 8.51400880e+166
 3.80545579e+127
 7.72450613e+115
 7.38766874e+132
 9.14336281e+126
 3.88890275e+113
 3.78547169e+122
 1.00282017e+159
 3.34400114e+103
 6.79761613e+80
 1.26218935e+80
 2.21766874e+71
 1.12610108e+66
 4.04228899e+76
 6.01504434e+80
 5.02927757e+94
 1.70996395e+94
 7.70940945e+67
 3.77072958e+87
 1.09406629e+112
 6.08191311e+86
 6.16603401e+84
 3.85147136e+80
 8.93691956e+84
 8.47478531e+88
 6.69604416e+69
 1.55917472e+68
 4.53844287e+64
 5.14171219e+67
 8.52444110e+83
 6.18104633e+102
 1.46843668e+105
 2.79078655e+85
 3.85242381e+80
 8.25972159e+99
 1.64181644e+98
 2.08154096e+78
 6.99015523e+92
 3.87240646e+126
 1.23612257e+116
 2.27017164e+110
 7.87006901e+121
 1.02555428e+96
 3.15829135e+85
 8.04601739e+77
 2.24028411e+64
 1.12205923e+66
 2.44242846e+76
 5.51401754e+75
 1.90729450e+58
 4.06219761e+59
 3.28818878e+76
 1.38412300e+69
 3.62934590e+62
 1.43034668e+88
 1.39881958e+96
 5.02776071e+73
 9.03459525e+75
 7.37873609e+87
 5.35731476e+95
 3.16154557e+86
 1.09840273e+84
 6.89296622e+82
 1.70131002e+94
 1.73428645e+93
 2.76171779e+80
 6.76374047e+93
 6.81540681e+100
 3.34786061e+92
 5.87136860e+99
 4.10290410e+86
 7.90986771e+69
 1.51730534e+66
 1.25694724e+62
 1.39193731e+74
 2.22841209e+87
 1.16096370e+87
 1.01444126e+96
 4.36497088e+87
 1.16878322e+98
 9.92854267e+120
 1.60532771e+127
 3.89858320e+129
 8.91520834e+111
 7.11467019e+96
 5.01880370e+93
 1.40119549e+100
 1.99889970e+94
 2.40907773e+90
 9.63697060e+109
 5.94267378e+141
 1.33668536e+117
 1.11305437e+95
 1.46477220e+109
 6.87202532e+109
 5.13348751e+96
 4.06083349e+101
 6.00667533e+83
 1.15306932e+91
 2.39432922e+123
 1.01082872e+91
 3.68274769e+90
 6.00636697e+97
 1.89650117e+118
 3.52221312e+149
 2.40130917e+101
 1.02027299e+85
 1.38005070e+98
 2.88392899e+137
 8.01729409e+156
 3.94698550e+126
 4.38930152e+134
 2.58624410e+89
 2.92151668e+56
 3.58535673e+74
 1.54393267e+128
 3.72704389e+96
 7.47244979e+75
 1.60322932e+63
 2.65435542e+69
 6.23974296e+109
 Inf
 2.51330440e+03
 8.87074135e+175
 6.03656312e+114
 1.10562062e+112
 1.21565441e+183
 2.70682664e+198
 2.95412853e+137
 5.96309015e+138
 1.98732360e+116
 1.01505184e+120
 5.82381738e+153
 6.18996199e+119
 8.39191422e+96
 4.12273161e+112
 3.05680769e+79
 1.16836052e+59
 1.02422066e+64
 8.42678170e+68
 3.79432305e+72
 1.41690657e+70
 1.38004090e+69
 9.35088305e+66
 6.63508714e+69
 2.64556061e+72
 2.98931156e+66
 2.66146710e+117
 3.50602521e+133
 2.24506929e+71
 3.40299101e+117
 5.65302005e+137
 5.36372061e+77
 1.65971474e+117
 9.03865854e+161
 2.30423154e+103
 4.00787419e+116
 1.49264825e+99
 2.25416989e+64
 2.42926184e+62
 6.11315504e+61
 7.69936724e+56
 5.34980903e+61
 8.62038637e+64
 3.73676179e+66
 2.01914923e+71
 3.85619360e+77
 7.47492369e+76
 1.80945111e+61
 4.52310827e+58
 1.04119741e+68
 8.59670846e+72
 1.47191849e+60
 1.42049668e+58
 1.88686164e+66
 6.31612573e+63
 5.07557178e+60
 2.94880330e+64
 8.50510840e+83
 1.33163429e+91
 3.38942683e+79
 2.73037269e+74
 1.27059047e+57
 4.45989069e+60
 1.16781866e+82
 5.81028114e+93
 9.95859179e+104
 1.10496754e+84
 4.77420115e+77
 8.63789974e+72
 1.08180061e+72
 7.10237009e+62
 1.50671164e+58
 3.73545253e+68
 6.55379836e+70
 3.20475811e+68
 1.22754115e+68
 1.43871575e+68
 5.98693238e+80
 6.72582905e+85
 1.53371162e+77
 1.48894358e+76
 3.63027457e+74
 6.22530421e+65
 2.10672689e+59
 1.58983166e+63
 1.59246370e+55
 2.09270661e+51
 1.62467301e+54
 7.98695271e+55
 4.83722173e+64
 1.04532047e+68
 3.74314090e+66
 7.04987702e+67
 6.08141977e+58
 2.25135807e+60
 7.14510642e+68
 2.75810848e+67
 5.14987321e+67
 1.19902954e+71
 2.10219943e+63
 1.18985889e+53
 1.55676956e+50
 4.99149308e+53
 2.70183988e+60
 3.00803705e+58
 5.39887640e+50
 1.40956214e+49
 6.11041671e+55
 3.57008836e+58
 2.07741168e+57
 1.01024536e+60
 7.45821453e+59
 7.31900787e+50
 5.29652681e+52
 3.17103615e+58
 1.42712163e+62
 8.46713922e+61
 3.83069613e+50
 2.39188976e+49
 3.75427355e+49
 8.39032149e+55
 9.46668933e+53
 5.15661099e+50
 9.51902665e+56
 4.45049639e+49
 3.61174618e+45
 7.60137342e+47
 3.46496133e+46
 9.24429725e+45
 3.54444852e+51
 1.93265865e+48
 2.78798048e+44
 3.54032595e+38
 7.71728892e+40
 1.22610638e+53
 4.11782019e+53
 2.20087243e+53
 6.84608932e+48
 7.05492484e+44
 2.51968015e+44
 1.57958600e+45
 6.40955838e+49
 2.03067532e+49
 8.92475688e+44
 7.07907976e+48
 6.05852899e+47
 2.73120395e+47
 1.59614398e+51
 7.05481101e+51
 6.38512514e+51
 2.09501703e+53
 2.54117766e+53
 2.82407583e+50
 3.00469979e+46
 5.35606462e+39
 2.04551403e+37
 4.83300249e+38
 2.16548579e+39
 3.02135940e+43
 4.38431590e+48
 6.29472004e+45
 1.49078251e+39
 1.02337285e+40
 1.68339167e+45
 9.23353234e+45
 3.45947062e+46
 1.21085194e+41
 1.91314014e+37
 2.16718762e+38
 1.59537714e+35
 3.66899761e+36
 8.72949432e+42
 1.41332798e+42
 2.87620969e+39
 1.55925233e+39
 7.36427814e+38
 1.88551284e+36
 1.53191039e+33
 3.66086472e+31
 5.86920563e+34
 1.13112479e+40
 3.26347252e+39
 2.75135743e+37
 1.19950955e+38
 5.36307895e+37
 2.22098204e+38
 7.19094386e+41
 2.06524083e+44
 2.07637287e+42
 3.99626509e+42
 3.32618238e+41
 1.46590035e+41
 2.05243106e+41
 3.32216694e+41
 4.56071010e+43
 9.24686743e+38
 4.43979534e+39
 4.84915998e+43
 1.61171496e+40
 1.77060791e+39
 1.48205555e+40
 8.14303590e+36
 1.13545991e+33
 7.69166781e+32
 1.89347234e+39
 8.60096506e+43
 8.03450625e+44
 2.70942124e+51
 2.42311198e+46
 2.47743218e+40
 1.22869416e+43
 1.39271940e+51
 2.89028016e+52
 4.01438968e+45
 1.52288293e+48
 2.58277925e+50
 5.11230025e+45
 5.81650949e+47
 6.64895934e+41
 2.96584256e+41
 2.77170146e+44
 1.69064303e+41
 1.14916648e+42
 9.73504138e+39
 7.44985697e+36
 7.67505116e+45
 2.38286321e+49
 9.75806041e+38
 1.51511189e+38
 1.22562569e+43
 8.09843796e+43
 2.71203352e+42
 3.06357274e+40
 4.61651532e+38
 1.23030491e+40
 1.21350730e+39
 1.56063592e+46
 2.48192150e+51
 1.34004992e+45
 2.58150137e+41
 2.06372851e+39
 5.37323635e+37
 9.35501396e+40
 1.06349000e+53
 1.88463024e+47
 1.14589009e+41
 2.92623337e+47
 4.15157593e+46
 9.26697805e+38
 3.67202974e+35
 9.26214537e+36
 4.83093362e+38
 5.46175554e+36
 7.98369920e+33
 2.07583588e+34
 8.03816168e+35
 5.11012748e+37
 4.70657573e+40
 1.73275760e+41
 4.72408596e+40
 3.82898587e+41
 2.74822999e+40
 9.12639347e+40
 1.23917365e+41
 5.91800371e+35
 1.35507514e+35
 5.72542040e+38
 8.54417110e+46
 8.92844454e+45
 1.79320226e+42
 5.19676350e+44
 1.53099118e+43
 5.18708586e+55
 2.39461719e+72
 1.10640740e+64
 6.66873607e+65
 1.43401248e+88
 5.15339681e+102
 5.25551764e+85
 2.24622249e+64
 4.31579295e+57
 1.33835617e+54
 1.58711227e+67
 3.28399517e+74
 7.69048876e+50
 4.76065411e+58
 3.33108752e+79
 1.90789606e+66
 2.91602510e+57
 2.05006630e+65
 6.03267495e+64
 2.62589898e+51
 2.59746618e+49
 1.23686501e+53
 1.10222884e+52
 1.41090672e+49
 2.02299494e+42
 2.01954261e+43
 2.38481318e+52
 8.59047293e+62
 1.65966926e+82
 2.91537414e+87
 4.79448175e+69
 5.09691355e+102
 6.40345834e+139
 2.00310789e+73
 2.36581316e+67
 7.63184273e+67
 1.40064365e+80
 5.00386617e+75
 1.31526364e+61
 5.77246129e+71
 2.73350670e+121
 1.17306302e+118
 1.00071494e+78
 5.64014625e+105
 3.70108194e+111
 3.34303399e+84
 3.62199307e+70
 6.52934568e+67
 1.23888360e+83
 3.06104811e+248
 8.49283875e+138
 6.21913879e+69
 3.65278761e+93
 6.01353055e+97
 6.81302221e+93
 2.16115859e+85
 1.86498701e+78
 5.86984864e+94
 9.24445282e+93
 4.83623126e+80
 1.78583968e+83
 5.03621467e+116
 3.48017899e+117
 2.58392372e+78
 1.35994936e+90
 3.67721889e+91
 1.99697987e+68
 6.91764477e+84
 1.64033435e+96
 7.24216527e+72
 6.34931626e+71
 1.29237035e+72
 1.69210468e+74
 2.06380095e+75
 2.55048260e+78
 1.87628415e+97
 1.19323214e+129
 3.53301491e+99
 4.53468633e+76
 6.47371372e+90
 8.20840924e+104
 1.93077214e+111
 3.38467975e+100
 2.93520956e+87
 1.58879630e+83
 1.80739588e+90
 6.90945946e+82
 1.56649672e+71
 1.82630305e+92
 2.16002194e+85
 1.15077069e+97
 7.95604184e+222
 Inf
 3.03940717e+238
 4.37385912e+110
 3.98318620e+183
 Inf
 3.03535549e+267
 1.26628607e+268
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328765e+03
 2.51430658e+03
 2.51371520e+03
 Inf
 Inf
 2.12254414e+205
 7.48950226e+152
 1.45156288e+161
 9.14376106e+143
 1.09461417e+149
 4.59577930e+149
 5.22073512e+126
 1.09332271e+136
 1.53166555e+106
 5.00915561e+142
 4.15477016e+135
 8.76222583e+95
 5.89261264e+239
 2.51331855e+03
 2.51365410e+03
 Inf
 2.22941113e+196
 2.51365165e+03
 2.51351241e+03
 Inf
 9.12172171e+298
 4.52665815e+199
 4.53866094e+168
 1.27091897e+111
 4.28094064e+84
 2.28558907e+75
 1.44933493e+105
 5.76453334e+162
 7.28759054e+154
 2.07016610e+205
 Inf
 1.51921350e+185
 6.65754219e+133
 6.79187149e+182
 2.34023548e+139
 1.11213782e+112
 7.63034330e+113
 2.63183144e+104
 1.60918571e+97
 6.97424367e+103
 3.96942386e+118
 3.57156630e+124
 1.10854443e+112
 3.18698161e+125
 Inf
 Inf
 1.10246468e+268
 1.46577199e+237
 Inf
 4.39915583e+299
 4.14403678e+208
 4.48799778e+184
 2.40742998e+286
 8.56281758e+258
 8.54132073e+101
 2.06730976e+74
 2.83441026e+78
 3.13950622e+86
 3.33013639e+92
 6.17930288e+84
 1.39670557e+96
 1.00751633e+111
 4.36597764e+96
 Inf
 3.02611953e+157
 1.50016626e+59
 1.26315567e+69
 2.40794223e+71
 1.12065696e+77
 4.53747130e+111
 5.26760865e+85
 6.15308285e+69
 3.35900276e+75
 3.43855017e+73
 1.01145811e+87
 1.81560950e+110
 1.40900590e+100
 2.15399411e+120
 5.17694636e+109
 1.34054067e+82
 3.80109834e+87
 5.44701981e+82
 7.89647214e+84
 1.87828653e+86
 1.15127169e+97
 8.63851856e+83
 1.74233951e+67
 6.54919976e+70
 5.63670126e+68
 3.46930771e+68
 1.76150457e+66
 2.24575020e+63
 6.18151426e+62
 1.04927152e+74
 1.81589024e+76
 7.42702131e+98
 5.08378688e+140
 6.86018286e+89
 4.84608247e+90
 3.19090018e+152
 6.10634131e+218
 7.47184771e+190
 4.58064000e+165
 1.20995574e+109
 1.33296486e+87
 3.87388551e+89
 3.28674711e+103
 4.35321896e+184
 7.71019378e+145
 9.64987259e+113
 1.09689145e+155
 1.17741330e+101
 2.23108184e+54
 7.71515527e+41
 4.82965702e+42
 1.43581913e+43
 2.06688807e+39
 1.99484142e+45
 9.79562648e+55
 3.65844759e+52
 6.97721064e+54
 1.21200732e+60
 5.09958329e+57
 2.52841674e+55
 3.19499611e+67
 3.21652050e+66
 3.39094991e+62
 1.11114709e+55
 4.32948926e+53
 2.41833167e+76
 4.10263939e+75
 7.60845520e+62
 9.52213557e+60
 5.71264685e+57
 2.59517447e+57
 4.01228756e+54
 2.54535816e+47
 5.55253217e+46
 6.07528549e+52
 9.61299235e+51
 5.78628635e+44
 2.72281832e+45
 1.30301171e+48
 9.59459929e+47
 3.73437091e+45
 8.04872417e+52
 1.58914402e+52
 2.45273128e+43
 1.30997970e+43
 3.94891388e+41
 4.81982402e+41
 1.81155176e+51
 4.72631384e+60
 1.22953762e+59
 6.88990865e+56
 2.41112561e+52
 1.60602356e+69
 1.19995230e+71
 1.81377734e+54
 9.01427403e+49
 2.33530052e+46
 2.72819394e+47
 4.85755746e+51
 8.98557372e+53
 2.61060129e+51
 2.67417092e+54
 9.93451462e+53
 1.92539037e+50
 2.18015849e+51
 4.62189875e+49
 5.44926196e+49
 2.93973864e+50
 4.58894341e+48
 4.74843681e+53
 3.10451357e+55
 5.46985841e+70
 6.11613502e+69
 2.20416207e+50
 1.36055387e+48
 2.64100085e+42
 7.57830593e+47
 1.44407240e+52
 1.21561398e+52
 1.50213488e+55
 2.31712907e+57
 2.24753512e+58
 2.09316091e+54
 8.56426211e+54
 3.38710379e+56
 5.43743395e+76
 1.38955373e+100
 3.07920903e+113
 3.47710630e+117
 9.47378075e+81
 7.27270686e+79
 2.04916853e+91
 5.36501587e+95
 2.86010090e+88
 1.68223571e+82
 8.34870592e+81
 2.99799404e+67
 1.01606967e+60
 5.39247712e+60
 6.21601542e+59
 1.89321742e+58
 8.79738601e+77
 2.90635784e+72
 2.75375006e+56
 3.71565258e+66
 1.36431511e+98
 3.95278485e+132
 3.72825240e+111
 2.15746477e+121
 2.18091211e+104
 7.28897459e+77
 1.57473468e+64
 2.40911760e+55
 7.31686248e+75
 1.05706338e+74
 3.24191433e+50
 4.00046820e+52
 8.86824295e+55
 2.05291040e+55
 7.11795362e+77
 1.44473553e+88
 1.40497561e+63
 2.28620597e+55
 5.56791020e+52
 1.09662282e+56
 2.24554035e+58
 9.87905986e+62
 5.74793750e+65
 4.75683708e+67
 1.69224447e+75
 6.54343065e+91
 1.09062524e+218
 Inf
 2.51338506e+03
 2.51334459e+03
 1.11000726e+125
 5.94900396e+89
 Inf
 Inf
 1.61371361e+103
 4.02976336e+137
 2.88730049e+238
 3.77233578e+167
 1.41858710e+246
 3.94065559e+190
 1.26226135e+108
 1.85100623e+68
 1.11411317e+55
 2.09248393e+51
 4.77153662e+45
 6.32137934e+57
 1.84491124e+81
 5.33777770e+74
 6.44934771e+74
 9.06236849e+71
 4.13463743e+73
 2.83334639e+78
 4.40067481e+74
 1.62942564e+69
 1.05345596e+74
 4.05952454e+86
 1.65072069e+155
 6.65081390e+178
 6.87343837e+80
 1.12979919e+80
 7.54911208e+80
 2.40700597e+64
 4.36716036e+69
 2.21386208e+76
 4.05342010e+66
 1.16595433e+56
 6.49726777e+61
 5.17189465e+68
 1.49655161e+57
 4.55109803e+53
 1.51851527e+52
 9.60767631e+51
 1.20781209e+54
 6.11555457e+51
 6.97317077e+50
 7.95473438e+64
 2.05901969e+90
 5.45253223e+82
 6.01007745e+72
 1.01181712e+70
 5.07671360e+66
 1.49330314e+87
 2.08881833e+77
 1.55209397e+113
 3.26830456e+215
 2.04738967e+107
 1.70110567e+130
 3.10700671e+113
 9.29418479e+68
 7.04091923e+54
 1.94449499e+63
 6.78444650e+86
 3.31350971e+74
 2.70711027e+79
 1.77607352e+104
 1.69692943e+89
 3.26776683e+88
 6.89570829e+94
 1.54952718e+111
 3.84800968e+104
 1.78208097e+105
 2.26933190e+147
 Inf
 Inf
 2.28263324e+109
 2.77383954e+80
 4.04416597e+85
 6.75983969e+104
 2.14193613e+132
 8.22402285e+100
 7.84847561e+119
 Inf
 3.78833122e+96
 2.39873312e+59
 4.62626262e+79
 5.53427670e+130
 5.07417729e+203
 Inf
 Inf
 2.18415137e+127
 Inf
 2.51331094e+03
 2.51371521e+03
 2.51404485e+03
 4.28424790e+279
 5.23433483e+191
 2.51361241e+03
 2.51539856e+03
 2.51557354e+03
 2.51388791e+03
 Inf
 Inf
 2.51344849e+03
 Inf
 Inf
 Inf
 Inf
 1.74072258e+290
 3.85999327e+182
 1.34456016e+184
 Inf
 2.51327479e+03
 Inf
 Inf
 Inf
 2.51327495e+03
 2.51342064e+03
 7.92050598e+252
 2.32174315e+103
 2.14569467e+199
 Inf
 2.51330906e+03
 2.51350760e+03
 2.51421766e+03
 2.51561538e+03
 2.51629802e+03
 2.51488100e+03
 2.51415314e+03
 2.51452959e+03
 2.51367270e+03
 Inf
 Inf
 Inf
 Inf
 7.86179358e+290
 2.97205039e+249
 2.51327415e+03
 2.51338242e+03
 2.51347075e+03
 2.51390834e+03
 2.51362407e+03
 2.51340872e+03
 2.51346376e+03
 Inf
 1.26896422e+134
 Inf
 2.51379801e+03
 2.50475683e+03
 Inf
 1.74579509e+155
 7.79835882e+257
 1.05279858e+287
 2.53932719e+99
 3.34908994e+76
 7.58643814e+83
 2.13209910e+92
 6.42396743e+173
 2.51331446e+03
 2.51405711e+03
 2.51362524e+03
 Inf
 Inf
 Inf
 7.79382352e+200
 5.80582119e+171
 1.56057737e+138
 6.60288940e+133
 5.51866330e+195
 6.66619985e+133
 9.08769194e+143
 3.77313721e+178
 7.45877656e+148
 2.35708783e+252
 7.96633374e+257
 Inf
 2.51330615e+03
 2.51336973e+03
 2.51333790e+03
 2.51328630e+03
 2.51341091e+03
 Inf
 6.17116933e+141
 1.49364747e+110
 2.89844968e+242
 2.51328231e+03
 2.51327438e+03
 1.11556833e+301
 8.00970685e+257
 2.51327435e+03
 2.51327939e+03
 Inf
 Inf
 6.29029964e+239
 3.77750509e+241
 2.94790141e+119
 5.05053145e+93
 Inf
 2.51344110e+03
 2.51345104e+03
 2.51338772e+03
 Inf
 1.53383944e+160
 5.15428714e+116
 3.36521961e+87
 3.45693161e+297
 2.51411990e+03
 2.51389881e+03
 2.51340726e+03
 2.51328014e+03
 Inf
 Inf
 4.17416256e+208
 1.58563766e+148
 1.11412728e+146
 2.51327435e+03
 2.51338047e+03
 Inf
 2.51332687e+03
 2.51386784e+03
 2.51390530e+03
 2.51348420e+03
 2.51347882e+03
 2.51333790e+03
 Inf
 1.57706968e+294
 Inf
 Inf
 Inf
 Inf
 Inf
 2.42198637e+266
 4.51457782e+199
 2.51331566e+03
 2.51330169e+03
 2.51333492e+03
 2.51380958e+03
 2.51349248e+03
 2.51327527e+03
 2.51327650e+03
 Inf
 4.49673330e+282
 Inf
 7.58802083e+165
 3.05351338e+138
 Inf
 Inf
 Inf
 2.51329519e+03
 2.51361357e+03
 2.51348877e+03
 2.51367145e+03
 2.51361240e+03
 2.51330651e+03
 2.51328587e+03
 Inf
 2.21352536e+178
 1.17296297e+224
 Inf
 1.87390906e+298
 Inf
 2.51449423e+03
 2.51428434e+03
 2.51353325e+03
 2.51340799e+03
 2.51351927e+03
 Inf
 3.47337255e+293
 2.51327897e+03
 2.51327441e+03
 Inf
 Inf
 Inf
 2.51339591e+03
 2.51350473e+03
 2.51333106e+03
 2.51331855e+03
 6.00216787e+285
 1.74593736e+158
 1.02623057e+235
 Inf
 2.51327733e+03
 Inf
 2.51367270e+03
 2.51386634e+03
 Inf
 2.51331133e+03
 2.51328342e+03
 6.67730205e+228
 Inf
 2.51344766e+03
 2.51356237e+03
 2.51353935e+03
 Inf
 7.20753915e+187
 1.73808507e+145
 2.27469504e+106
 8.20292223e+116
 Inf
 Inf
 2.51337158e+03
 2.51332825e+03
 Inf
 Inf
 Inf
 Inf
 2.51343626e+03
 2.51350953e+03
 2.51332687e+03
 Inf
 7.27426885e+274
 6.76248436e+178
 4.82677704e+223
 2.51327792e+03
 2.51375710e+03
 2.51358410e+03
 Inf
 2.51328957e+03
 2.51347252e+03
 Inf
 3.44348298e+197
 3.75053797e+241
 Inf
 Inf
 9.33199585e+161
 Inf
 2.51342679e+03
 2.51334249e+03
 1.13616061e+301
 1.55351848e+106
 1.78265032e+105
 2.44807578e+281
 Inf
 2.41991947e+160
 4.90394178e+113
 2.36122855e+163
 2.25760151e+254
 Inf
 Inf
 2.51330723e+03
 2.51328908e+03
 4.77614940e+287
 Inf
 Inf
 2.51327432e+03
 Inf
 Inf
 Inf
 Inf
 2.51327856e+03
 2.51371257e+03
 2.51421574e+03
 2.51402228e+03
 2.51363117e+03
 2.51342835e+03
 2.51344436e+03
 2.51331288e+03
 Inf
 Inf
 2.51339315e+03
 2.51433711e+03
 2.51493189e+03
 2.51386630e+03
 2.51346376e+03
 2.51424097e+03
 2.51511052e+03
 2.51355074e+03
 2.51368152e+03
 2.51547453e+03
 2.51488597e+03
 2.51441645e+03
 2.51398831e+03
 2.51372184e+03
 2.51341611e+03
 6.74420428e+280
 2.51329187e+03
 2.51428248e+03
 2.51409621e+03
 2.51350092e+03
 2.51343308e+03
 2.51390517e+03
 2.51332596e+03
 2.51329161e+03
 2.51327745e+03
 2.51331855e+03
 2.51359191e+03
 Inf
 Inf
 Inf
 2.51333059e+03
 2.51353936e+03
 2.51365533e+03
 2.51405008e+03
 2.51416251e+03
 2.51391787e+03
 2.51406237e+03
 2.51434738e+03
 2.51445289e+03
 2.51377382e+03
 2.51343706e+03
 2.51358080e+03
 2.51431062e+03
 2.51458372e+03
 2.51441216e+03
 2.51454524e+03
 2.51485842e+03
 2.51513485e+03
 2.51394854e+03
 2.51339800e+03
 2.51349621e+03
 2.51434738e+03
 2.51485347e+03
 2.51401715e+03
 2.51380090e+03
 2.51435563e+03
 2.51557900e+03
 2.51450080e+03
 2.51377946e+03
 2.51410169e+03
 2.51435979e+03
 2.51436051e+03
 2.51358856e+03
 2.51327548e+03
 2.51327711e+03
 2.51329757e+03
 2.51338638e+03
 2.51369562e+03
 2.51356236e+03
 2.51336850e+03
 2.51335899e+03
 2.51429248e+03
 2.51530684e+03
 2.51438476e+03
 2.51403267e+03
 2.51470940e+03
 2.51523936e+03
 2.51549531e+03
 2.51519769e+03
 2.51499126e+03
 2.51592946e+03
 2.51577907e+03
 2.51611735e+03
 2.51695992e+03
 2.51663506e+03
 2.51639552e+03
 2.51632927e+03
 2.51603088e+03
 2.51514025e+03
 2.51628055e+03
 2.51833184e+03
 2.51723969e+03
 2.51599799e+03
 2.51537256e+03
 2.51614422e+03
 2.51701745e+03
 2.51580458e+03
 2.51444209e+03
 2.51442765e+03
 2.51526167e+03
 2.51665722e+03
 2.51640561e+03
 2.51433096e+03
 Inf
 7.64226998e+152
 2.25614243e+255
 2.51335162e+03
 2.51343707e+03
 2.51375848e+03
 2.51438269e+03
 2.51393069e+03
 2.51392623e+03
 2.51416810e+03
 2.51510242e+03
 2.51711033e+03
 2.51755530e+03
 2.51708298e+03
 2.51736341e+03
 2.51541011e+03
 2.51435565e+03
 2.51582677e+03
 2.51775460e+03
 2.51709832e+03
 2.51453408e+03
 2.51354244e+03
 2.51438896e+03
 2.51567355e+03
 2.51518661e+03
 2.51377946e+03
 2.50483128e+03
 2.51364799e+03
 2.51370340e+03
 2.51465983e+03
 2.51522269e+03
 2.51708309e+03
 2.51831412e+03
 2.51863638e+03
 2.51690283e+03
 2.51599475e+03
 2.51630807e+03
 2.51638518e+03
 2.51591006e+03
 2.51609382e+03
 2.51679759e+03
 2.51408729e+03
 2.51333106e+03
 2.51030303e+03
 2.51341387e+03
 2.51377242e+03
 2.51357314e+03
 2.51346031e+03
 2.51387090e+03
 2.51440373e+03
 2.51425861e+03
 2.51475261e+03
 2.51624281e+03
 2.51765835e+03
 2.51794223e+03
 2.51710635e+03
 2.51697565e+03
 2.51722399e+03
 2.51736775e+03
 2.51659526e+03
 2.51531815e+03
 2.51604732e+03
 2.51543923e+03
 2.51382276e+03
 2.50525493e+03
 2.51445069e+03
 2.51492164e+03
 2.51591333e+03
 2.51682384e+03
 2.51695667e+03
 2.51634296e+03
 2.51510511e+03
 2.51477696e+03
 2.51627713e+03
 2.51718087e+03
 2.51792886e+03
 2.51811115e+03
 2.51717282e+03
 2.51699472e+03
 2.51763323e+03
 2.51730728e+03
 2.51644838e+03
 2.51590368e+03
 2.51566129e+03
 2.51597499e+03
 2.51485840e+03
 2.51425473e+03
 2.51396995e+03
 2.51373120e+03
 2.51404657e+03
 2.51379944e+03
 2.51337471e+03
 2.51329187e+03
 Inf
 Inf
 2.51362761e+03
 2.51465751e+03
 2.51670862e+03
 2.51571672e+03
 2.51551618e+03
 2.51648744e+03
 2.51544510e+03
 2.51670850e+03
 2.52010092e+03
 2.51679376e+03
 2.51499647e+03
 2.51555178e+03
 2.51537815e+03
 2.51570438e+03
 2.51507561e+03
 2.51532090e+03
 2.51632212e+03
 2.51733157e+03
 2.51670844e+03
 2.51405183e+03
 2.51431662e+03
 2.51599469e+03
 2.51488855e+03
 2.51422929e+03
 2.51449199e+03
 2.51550711e+03
 2.51693709e+03
 2.51702275e+03
 2.51732348e+03
 2.51761264e+03
 2.51651601e+03
 2.51576999e+03
 2.51517027e+03
 2.49783725e+03
 2.51494722e+03
 2.51382423e+03
 2.51347967e+03
 2.51359190e+03
 2.51365779e+03
 2.51388480e+03
 2.51387838e+03
 2.51333541e+03
 Inf
 2.51344110e+03
 2.51447019e+03
 2.51481378e+03
 2.51523098e+03
 2.51600784e+03
 2.51661715e+03
 2.51671273e+03
 2.51625993e+03
 2.51683493e+03
 2.51793307e+03
 2.51644477e+03
 2.51448327e+03
 2.51524482e+03
 2.51676039e+03
 2.51586818e+03
 2.51623581e+03
 2.51703282e+03
 2.51752207e+03
 2.51786049e+03
 2.51617465e+03
 2.51598195e+03
 2.51721613e+03
 2.51769606e+03
 2.51766856e+03
 2.51638492e+03
 2.51703648e+03
 2.51804100e+03
 2.51657352e+03
 2.51582370e+03
 2.51606715e+03
 2.51630484e+03
 2.51496527e+03
 2.51453858e+03
 2.51532096e+03
 2.51524731e+03
 2.51430860e+03
 2.51381396e+03
 2.51380542e+03
 2.51397326e+03
 2.51415127e+03
 2.51391150e+03
 2.51351340e+03
 2.51350000e+03
 2.51329322e+03
 2.51336015e+03
 2.51452739e+03
 2.51596206e+03
 2.51665369e+03
 2.51688418e+03
 2.51705219e+03
 2.51505433e+03
 2.51468105e+03
 2.51485336e+03
 2.51392587e+03
 2.51393673e+03
 2.51419271e+03
 2.51405357e+03
 2.51376962e+03
 2.51361241e+03
 2.51383311e+03
 2.51429650e+03
 2.51451411e+03
 2.51400011e+03
 2.51330687e+03
 Inf
 Inf
 2.51390992e+03
 2.51690670e+03
 2.51745737e+03
 2.51684243e+03
 2.51682938e+03
 2.51603417e+03
 2.51537830e+03
 2.51572296e+03
 2.51489616e+03
 2.51416623e+03
 2.51423502e+03
 2.51496527e+03
 2.51591335e+03
 2.51508896e+03
 2.51483354e+03
 2.51384207e+03
 Inf
 Inf
 2.51353833e+03
 2.51509437e+03
 2.51439524e+03
 2.51348786e+03
 2.51333840e+03
 Inf
 Inf
 2.51331406e+03
 2.51360665e+03
 2.51424882e+03
 2.51404131e+03
 2.51353022e+03
 2.51390833e+03
 2.51530113e+03
 2.51454299e+03
 2.51367396e+03
 2.51408907e+03
 2.51432690e+03
 2.51440165e+03
 2.51503581e+03
 2.51524500e+03
 2.51472853e+03
 2.51482345e+03
 2.51489620e+03
 2.51505169e+03
 2.51594571e+03
 2.51579484e+03
 2.51567356e+03
 2.51676404e+03
 2.51706402e+03
 2.51437016e+03
 2.51365165e+03
 2.51374472e+03
 2.51379084e+03
 2.51382719e+03
 2.51418701e+03
 2.51515659e+03
 2.51478171e+03
 2.51384959e+03
 2.51383331e+03
 2.51463188e+03
 2.51464641e+03
 2.51557596e+03
 2.51489108e+03
 2.51420419e+03
 2.51463649e+03
 2.51428845e+03
 2.51443133e+03
 2.51383163e+03
 2.51337598e+03
 2.51399841e+03
 2.51542470e+03
 2.51528094e+03
 2.51530660e+03
 2.51539273e+03
 2.51527007e+03
 2.51504639e+03
 2.51455650e+03
 2.51439953e+03
 2.51548929e+03
 2.51617816e+03
 2.51472613e+03
 2.51447025e+03
 2.51467859e+03
 2.51515659e+03
 2.51565511e+03
 2.51465280e+03
 2.51445291e+03
 2.51433507e+03
 2.51353731e+03
 Inf
 2.51327911e+03
 2.51347787e+03
 2.51333640e+03
 2.51347966e+03
 2.51398495e+03
 2.51398965e+03
 2.51403960e+03
 2.51384507e+03
 2.51397658e+03
 2.51420611e+03
 2.51416992e+03
 2.51535526e+03
 2.51562775e+03
 2.51486592e+03
 2.51425472e+03
 2.51386325e+03
 2.51442921e+03
 2.51444690e+03
 2.51409989e+03
 2.51459276e+03
 2.51456295e+03
 2.51359303e+03
 2.51327465e+03
 2.51327680e+03
 2.51363713e+03
 2.51421381e+03
 2.51457461e+03
 2.51443989e+03
 2.51401202e+03
 2.51426061e+03
 2.51420031e+03
 2.51357970e+03
 2.51362287e+03
 2.51439107e+03
 2.51448780e+03
 2.51400690e+03
 2.51373120e+03
 2.51342217e+03
 2.51330039e+03
 2.51337917e+03
 2.51368408e+03
 2.51357531e+03
 2.51348694e+03
 2.51361125e+03
 2.51359414e+03
 2.51363833e+03
 2.51426063e+03
 2.51415679e+03
 2.51437015e+03
 2.51677150e+03
 2.51818115e+03
 2.51663154e+03
 2.51567973e+03
 2.51624269e+03
 2.51703670e+03
 2.51701638e+03
 2.51611068e+03
 2.51762905e+03
 2.51788666e+03
 2.51733543e+03
 2.51778387e+03
 2.51801514e+03
 2.51884972e+03
 2.51604077e+03
 2.51437642e+03
 2.51465974e+03
 2.51473582e+03
 2.51474791e+03
 2.51365532e+03
 2.51473332e+03
 2.51775456e+03
 2.51691388e+03
 2.51463652e+03
 2.51505421e+03
 2.51595874e+03
 2.51464115e+03
 2.51466844e+03
 2.51547748e+03
 2.51531511e+03
 2.51405534e+03
 2.51335052e+03
 Inf
 2.51332596e+03
 2.51367020e+03
 2.51492416e+03
 2.51458585e+03
 2.51371653e+03
 2.51360095e+03
 2.51471657e+03
 2.51715330e+03
 2.51732112e+03
 2.51702117e+03
 2.51670494e+03
 2.51742406e+03
 2.51729894e+03
 2.51694847e+03
 2.51878411e+03
 2.51755870e+03
 2.51671971e+03
 2.51761243e+03
 2.51612070e+03
 2.51662414e+03
 2.51883564e+03
 2.51848852e+03
 2.51955119e+03
 2.51880729e+03
 2.51727960e+03
 2.51780061e+03
 2.51851230e+03
 2.51757938e+03
 2.51440161e+03
 2.51341912e+03
 2.51329491e+03
 2.51327412e+03
 2.51344436e+03
 2.51490125e+03
 2.51607407e+03
 2.51579177e+03
 2.51570143e+03
 2.51453408e+03
 2.51362998e+03
 2.51362542e+03
 2.51353629e+03
 2.51369176e+03
 2.51405359e+03
 2.51411812e+03
 2.51401544e+03
 2.51374474e+03
 2.51427449e+03
 2.51456782e+03
 2.51529547e+03
 2.51760429e+03
 2.51737452e+03
 2.51730376e+03
 2.51784329e+03
 2.51781881e+03
 2.51819848e+03
 2.51709079e+03
 2.51652331e+03
 2.51651114e+03
 2.51560926e+03
 2.51455651e+03
 2.51476221e+03
 2.51574488e+03
 2.51685010e+03
 2.51786047e+03
 2.51604407e+03
 2.51547462e+03
 2.51691798e+03
 2.51716166e+03
 2.51764162e+03
 2.51569820e+03
 2.51416811e+03
 2.51479641e+03
 2.51621889e+03
 2.51528129e+03
 2.51362761e+03
 2.50609854e+03
 2.51376961e+03
 2.51350568e+03
 2.51341761e+03
 2.51363354e+03
 2.51434121e+03
 2.51471662e+03
 2.51478190e+03
 2.51447671e+03
 2.51434947e+03
 2.51434568e+03
 2.51431062e+03
 2.51512127e+03
 2.51747290e+03
 2.51752983e+03
 2.51636740e+03
 2.51586516e+03
 2.51446801e+03
 2.51398328e+03
 2.51375572e+03
 2.51338439e+03
 2.51356236e+03
 2.51390045e+03
 2.51401376e+03
 2.51443350e+03
 2.51384507e+03
 2.51335052e+03
 2.51347786e+03
 2.51488859e+03
 2.51548353e+03
 2.51482850e+03
 2.51460656e+03
 2.51547747e+03
 2.51636748e+03
 2.51544217e+03
 2.51516212e+03
 2.51571680e+03
 2.51767074e+03
 2.51669000e+03
 2.51518397e+03
 2.51400691e+03
 Inf
 Inf
 6.48973623e+280
 3.01604498e+157
 3.42536421e+171
 1.30055234e+188
 2.51327414e+03
 2.51385564e+03
 2.51350664e+03
 2.51394527e+03
 2.51543929e+03
 2.51617144e+03
 2.51704057e+03
 2.51666065e+03
 2.51731940e+03
 2.51798477e+03
 2.51672327e+03
 2.51483846e+03
 2.51454086e+03
 2.51439110e+03
 2.51441849e+03
 2.51462957e+03
 2.51515659e+03
 2.51667184e+03
 2.51505962e+03
 2.51512065e+03
 2.51587789e+03
 2.51682756e+03
 2.51679124e+03
 2.51478421e+03
 2.51428250e+03
 2.51522816e+03
 2.51517780e+03
 2.51439950e+03
 2.51392588e+03
 2.51341239e+03
 Inf
 Inf
 2.51403093e+03
 2.51330795e+03
 Inf
 Inf
 2.51329322e+03
 2.51331327e+03
 2.51335273e+03
 2.51343867e+03
 2.51358967e+03
 2.51366397e+03
 2.51365408e+03
 2.51374201e+03
 2.51354554e+03
 2.51347697e+03
 2.51382275e+03
 2.51423903e+03
 2.51435362e+03
 2.51348970e+03
 Inf
 Inf
 1.86280526e+270
 2.05815045e+180
 Inf
 2.51382276e+03
 2.51351730e+03
 2.51333201e+03
 2.51334043e+03
 2.51327427e+03
 Inf
 Inf
 Inf
 Inf
 2.51330943e+03
 2.51360322e+03
 2.51406416e+03
 2.51575115e+03
 2.51864514e+03
 2.51822399e+03
 2.51636392e+03
 2.51371785e+03
 Inf
 2.51336132e+03
 2.51375434e+03
 2.51407125e+03
 2.51402914e+03
 2.51391787e+03
 2.51408729e+03
 2.51433506e+03
 2.51377805e+03
 2.50482554e+03
 2.51563669e+03
 2.51772104e+03
 2.51835913e+03
 2.51818479e+03
 2.51985880e+03
 2.51910093e+03
 2.51593921e+03
 2.51541609e+03
 2.51544452e+03
 2.51554890e+03
 2.51556714e+03
 2.51554286e+03
 2.51572615e+03
 2.51609065e+03
 2.51624293e+03
 2.51724780e+03
 2.51780959e+03
 2.51703272e+03
 2.51463420e+03
 2.51394204e+03
 2.51422731e+03
 2.51345860e+03
 2.51350855e+03
 2.51441219e+03
 2.51616794e+03
 2.51726783e+03
 2.51570748e+03
 2.51416061e+03
 2.51401892e+03
 2.51374338e+03
 2.51331982e+03
 2.51329726e+03
 2.51351437e+03
 2.51330006e+03
 2.51330371e+03
 2.51356665e+03
 2.51375987e+03
 2.51508364e+03
 2.51651254e+03
 2.49919429e+03
 2.51673440e+03
 2.51679783e+03
 2.51678947e+03
 2.51742816e+03
 2.51744621e+03
 2.51682748e+03
 2.51634653e+03
 2.51694838e+03
 2.51464581e+03
 2.51479376e+03
 2.51752190e+03
 2.51716808e+03
 2.51820727e+03
 2.51723581e+03
 2.51649823e+03
 2.51740784e+03
 2.51777163e+03
 2.51786503e+03
 2.51875153e+03
 2.52084217e+03
 2.51984820e+03
 2.51820296e+03
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 2.51818513e+03
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 2.51366397e+03
 2.51369429e+03
 2.51462725e+03
 2.51456745e+03
 2.51400861e+03
 2.51692179e+03
 2.52074965e+03
 2.51646604e+03
 2.51574506e+03
 2.51833618e+03
 2.51976266e+03
 2.51968707e+03
 2.51853042e+03
 2.51753840e+03
 2.51666089e+03
 2.51844861e+03
 2.51938831e+03
 2.51738769e+03
 2.51724891e+03
 2.52036304e+03
 2.52099189e+03
 2.51912046e+03
 2.51864089e+03
 2.51997662e+03
 2.52217637e+03
 2.52287881e+03
 2.52396701e+03
 2.52278514e+03
 2.52147301e+03
 2.52221128e+03
 2.52181162e+03
 2.52103484e+03
 2.51934873e+03
 2.51624967e+03
 2.51533245e+03
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 2.51363953e+03
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 2.51582689e+03
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 2.51560313e+03
 2.51517843e+03
 2.51437224e+03
 2.51427458e+03
 2.51388636e+03
 2.51357205e+03
 2.51339521e+03
 2.51337221e+03
 Inf
 Inf
 2.51330269e+03
 2.51371257e+03
 2.51493184e+03
 2.51603757e+03
 2.51624315e+03
 2.51527289e+03
 2.51543616e+03
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 2.51498343e+03
 2.51540718e+03
 2.51657359e+03
 2.51769589e+03
 2.51671216e+03
 2.51611075e+03
 2.51587800e+03
 2.51551902e+03
 2.51496012e+03
 2.51477208e+03
 2.51509165e+03
 2.51536967e+03
 2.51592950e+03
 2.51564578e+03
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 2.51430052e+03
 2.51453852e+03
 2.51559108e+03
 2.51487594e+03
 2.51456781e+03
 2.51367145e+03
 Inf
 Inf
 2.51335052e+03
 2.51328421e+03
 Inf
 Inf
 2.51330202e+03
 2.51327416e+03
 Inf
 2.51386936e+03
 2.51546868e+03
 2.51599489e+03
 2.51600930e+03
 2.51540141e+03
 2.51472615e+03
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 2.51702613e+03
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 2.51381250e+03
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 2.51382276e+03
 2.51469041e+03
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 2.51579830e+03
 2.51629453e+03
 2.51557291e+03
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 2.51543911e+03
 2.51513209e+03
 2.51463421e+03
 2.51478415e+03
 2.51624279e+03
 2.51592275e+03
 2.51353325e+03
 2.51354853e+03
 2.51372717e+03
 Inf
 Inf
 Inf
 2.51332779e+03
 2.51359528e+03
 2.51329607e+03
 2.51349248e+03
 2.51525049e+03
 2.51615794e+03
 2.51575728e+03
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 2.51422344e+03
 2.51467626e+03
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 2.51469043e+03
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 2.51405534e+03
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 2.51456518e+03
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 2.51534645e+03
 2.51485341e+03
 2.51492656e+03
 2.51478420e+03
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 2.51387552e+03
 2.51434734e+03
 2.51470945e+03
 2.51443562e+03
 2.51397492e+03
 2.51327669e+03
 Inf
 2.51338242e+03
 2.51388948e+03
 2.51418703e+03
 2.51439320e+03
 2.51460424e+03
 2.51388325e+03
 2.51445715e+03
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 2.51501730e+03
 2.51368027e+03
 2.51327817e+03
 2.51347607e+03
 2.51403440e+03
 2.51531532e+03
 2.51507811e+03
 2.51342835e+03
 Inf
 2.51327563e+03
 Inf
 Inf
 Inf
 2.51331526e+03
 2.51358301e+03
 2.51399505e+03
 2.51342835e+03
 2.51332110e+03
 2.51445284e+03
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 2.51968095e+03
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 2.51449200e+03
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 2.51397990e+03
 2.51339110e+03
 2.51332024e+03
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 2.51406946e+03
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 2.51427647e+03
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 2.51421187e+03
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 2.51465282e+03
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 2.51506499e+03
 2.51431467e+03
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 2.51593924e+03
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 2.51584584e+03
 2.51616119e+03
 2.51560620e+03
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 2.51428648e+03
 2.51403267e+03
 2.51460421e+03
 2.51491400e+03
 2.51475741e+03
 2.51457913e+03
 2.51340945e+03
 Inf
 Inf
 2.51339591e+03
 2.51349715e+03
 2.51346375e+03
 2.51328630e+03
 Inf
 2.51332551e+03
 2.51340509e+03
 2.51352125e+03
 2.51334302e+03
 Inf
 Inf
 2.51329378e+03
 2.51327563e+03
 Inf
 Inf
 Inf
 Inf
 2.51346031e+03
 2.51452073e+03
 2.51483856e+03
 2.51403093e+03
 2.51328982e+03
 2.51329161e+03
 Inf
 Inf
 2.51328126e+03
 2.29709807e+199
 3.67998561e+140
 2.51347163e+03
 2.51498866e+03
 2.51470213e+03
 2.51527851e+03
 2.51513740e+03
 2.51489112e+03
 2.51458140e+03
 2.51478663e+03
 2.51535527e+03
 2.51579836e+03
 2.51570111e+03
 2.51511049e+03
 2.51543921e+03
 2.51512395e+03
 2.51469280e+03
 2.51378371e+03
 2.51420608e+03
 2.51503319e+03
 2.51441854e+03
 2.50092826e+03
 2.51494465e+03
 2.51463649e+03
 2.51467376e+03
 2.51475263e+03
 2.51353833e+03
 2.51335218e+03
 2.51338705e+03
 2.51376822e+03
 2.51436601e+03
 2.51425071e+03
 2.51422156e+03
 2.51424488e+03
 2.51393231e+03
 2.51362761e+03
 2.51414012e+03
 2.51521987e+03
 2.49764626e+03
 2.51466686e+03
 2.51460435e+03
 2.51474295e+03
 2.51449202e+03
 2.51429249e+03
 2.51488353e+03
 2.51582684e+03
 2.51567322e+03
 2.51492927e+03
 2.51462497e+03
 2.51447892e+03
 2.51429852e+03
 2.51422154e+03
 2.51488606e+03
 2.51469983e+03
 2.51396994e+03
 2.51430857e+03
 2.51424287e+03
 2.51447453e+03
 2.51432482e+03
 2.51380378e+03
 2.51448544e+03
 2.51494984e+03
 2.51401886e+03
 2.51369563e+03
 2.51340872e+03
 2.51330303e+03
 2.51377101e+03
 2.51402405e+03
 2.51424490e+03
 2.51463653e+03
 2.51376821e+03
 2.51412537e+03
 2.51448985e+03
 2.51348329e+03
 2.51360893e+03
 2.51398662e+03
 2.51369304e+03
 2.51334942e+03
 2.51335725e+03
 2.51358633e+03
 2.51342913e+03
 2.51331607e+03
 2.51384057e+03
 2.51446803e+03
 2.51428842e+03
 2.51439526e+03
 2.51411259e+03
 2.51444422e+03
 2.51518672e+03
 2.51492408e+03
 2.51488875e+03
 2.51509971e+03
 2.51383311e+03
 2.51335052e+03
 2.51377804e+03
 2.51476961e+03
 2.51600787e+03
 2.51571972e+03
 2.51462957e+03
 2.51412173e+03
 2.51364921e+03
 2.51359869e+03
 2.51366148e+03
 2.51369434e+03
 2.51386324e+03
 2.51391311e+03
 2.51424881e+03
 2.51562754e+03
 2.51508355e+03
 2.51498094e+03
 2.51516475e+03
 2.51489110e+03
 2.51467157e+03
 2.51441644e+03
 2.51496267e+03
 2.51510522e+03
 2.51472374e+03
 2.51467876e+03
 2.51454079e+03
 2.51383014e+03
 2.51412720e+03
 2.51410520e+03
 2.51356023e+03
 2.51351536e+03
 2.51331056e+03
 Inf
 2.51331327e+03
 2.51371918e+03
 2.51384810e+03
 2.51366894e+03
 2.51479155e+03
 2.51565514e+03
 2.51502523e+03
 2.51511840e+03
 2.51487345e+03
 2.51465050e+03
 2.51560621e+03
 2.51547423e+03
 2.51573860e+03
 2.51617808e+03
 2.51549816e+03
 2.51557867e+03
 2.51563064e+03
 2.51619162e+03
 2.51598143e+03
 2.51429449e+03
 2.51415881e+03
 2.51545980e+03
 2.51575138e+03
 2.51499904e+03
 2.51501634e+03
 2.51451850e+03
 2.51373524e+03
 2.51443562e+03
 2.51468576e+03
 2.51418131e+03
 2.51377102e+03
 2.51354244e+03
 2.51351536e+03
 2.51391468e+03
 2.51382126e+03
 2.51327780e+03
 2.51351927e+03
 2.51379227e+03
 2.51382428e+03
 2.51514296e+03
 2.51643431e+03
 2.51530391e+03
 2.51414198e+03
 2.51403793e+03
 2.51372985e+03
 2.51348238e+03
 2.51347701e+03
 2.51347757e+03
 2.51345689e+03
 2.51339870e+03
 2.51331056e+03
 2.51345435e+03
 2.51484842e+03
 2.51540736e+03
 2.51478175e+03
 2.51622224e+03
 2.51653074e+03
 2.51542175e+03
 2.51598148e+03
 2.51525045e+03
 2.51418132e+03
 2.51486088e+03
 2.51464808e+03
 2.51405183e+03
 2.51417749e+03
 2.51340366e+03
 2.51328077e+03
 2.51400180e+03
 2.51532102e+03
 2.51605748e+03
 2.51464115e+03
 2.51358522e+03
 2.51422926e+03
 2.51512131e+03
 2.51446581e+03
 2.51417566e+03
 2.51361010e+03
 2.51330405e+03
 2.51348057e+03
 2.51356451e+03
 2.51330071e+03
 Inf
 2.51333106e+03
 2.51344191e+03
 2.51333541e+03
 Inf
 Inf
 1.59343710e+277
 9.19330805e+209
 2.51327520e+03
 2.51401887e+03
 2.51375432e+03
 2.51349434e+03
 2.51338112e+03
 2.51328093e+03
 2.51330269e+03
 2.51333941e+03
 2.51343228e+03
 2.51387861e+03
 2.51354347e+03
 2.51337158e+03
 2.51436807e+03
 2.51527297e+03
 2.51459504e+03
 2.51470217e+03
 2.51499124e+03
 2.51460421e+03
 2.51510238e+03
 2.51623597e+03
 2.51517843e+03
 2.51502806e+03
 2.51541883e+03
 2.51553704e+03
 2.51565817e+03
 2.51581732e+03
 2.51576040e+03
 2.51461111e+03
 2.51416624e+03
 2.51380233e+03
 2.51435149e+03
 2.51484845e+03
 2.51462259e+03
 2.51506228e+03
 2.51505031e+03
 2.51505961e+03
 2.51550709e+03
 2.51585235e+03
 2.51618150e+03
 2.51575422e+03
 2.51449203e+03
 2.51488599e+03
 2.51612747e+03
 2.51585524e+03
 2.51559110e+03
 2.51541889e+03
 2.51503318e+03
 2.51521701e+03
 2.51553095e+03
 2.51520597e+03
 2.51448327e+03
 2.51385564e+03
 2.51467860e+03
 2.51597508e+03
 2.51475743e+03
 2.51384959e+03
 2.51333740e+03
 2.51330869e+03
 2.51341239e+03
 2.51350473e+03
 2.51348510e+03
 2.51358744e+03
 2.51374066e+03
 2.51424294e+03
 2.51460196e+03
 2.51408192e+03
 2.51495493e+03
 2.51448761e+03
 2.51400181e+03
 2.51516749e+03
 2.51549540e+03
 2.51533230e+03
 2.51517575e+03
 2.51554287e+03
 2.51680132e+03
 2.51658759e+03
 2.51567660e+03
 2.51615765e+03
 2.51664262e+03
 2.51593268e+03
 2.51457685e+03
 2.51437022e+03
 2.51532951e+03
 2.51465045e+03
 2.51481113e+03
 2.51448544e+03
 2.51392107e+03
 2.51469514e+03
 2.51479176e+03
 2.51517573e+03
 2.51522013e+03
 2.51524216e+03
 2.51547158e+03
 2.51570755e+03
 2.51577325e+03
 2.51488858e+03
 2.51423903e+03
 2.51391948e+03
 2.51455424e+03
 2.51528420e+03
 2.51509692e+03
 2.51495497e+03
 2.51492682e+03
 2.51500427e+03
 2.51499364e+03
 2.51532952e+03
 2.51387090e+03
 2.51340726e+03
 2.51384206e+03
 2.51361821e+03
 2.51363232e+03
 2.51366273e+03
 2.51362761e+03
 2.51401887e+03
 2.51369820e+03
 2.51363236e+03
 2.51447236e+03
 2.51481129e+03
 2.51471650e+03
 2.51499382e+03
 2.51517577e+03
 2.51443564e+03
 2.51469511e+03
 2.51482856e+03
 2.51408729e+03
 2.51412156e+03
 2.51391627e+03
 2.51410895e+03
 2.51454303e+03
 2.51508099e+03
 2.51494968e+03
 2.51463885e+03
 2.51473087e+03
 2.51439949e+03
 2.51520323e+03
 2.51590046e+03
 2.51879820e+03
 2.52020042e+03
 2.51908191e+03
 2.52111789e+03
 2.52124517e+03
 2.51935846e+03
 2.51924864e+03
 2.52130286e+03
 2.52106018e+03
 2.51983337e+03
 2.51836319e+03
 2.51811127e+03
 2.51963620e+03
 2.51907687e+03
 2.51975701e+03
 2.52133119e+03
 2.52122000e+03
 2.52233105e+03
 2.52021025e+03
 2.51873774e+03
 2.48918440e+03
 2.51889203e+03
 2.52077113e+03
 2.52045728e+03
 2.51691043e+03
 2.51520052e+03
 2.51556375e+03
 2.51594575e+03
 2.51494978e+03
 2.51445071e+03
 2.51468802e+03
 2.51586188e+03
 2.51621567e+03
 2.51608047e+03
 2.51909169e+03
 2.51968260e+03
 2.51739981e+03
 2.51770342e+03
 2.51973191e+03
 2.51998361e+03
 2.51760010e+03
 2.51863089e+03
 2.52167915e+03
 2.51936314e+03
 2.51781374e+03
 2.51667922e+03
 2.51774596e+03
 2.51831414e+03
 2.51685751e+03
 2.51735126e+03
 2.51817212e+03
 2.51811736e+03
 2.51896292e+03
 2.52161584e+03
 2.51999697e+03
 2.51820741e+03
 2.51710649e+03
 2.51898182e+03
 2.52202281e+03
 2.51964101e+03
 2.51903483e+03
 2.51886428e+03
 2.52020509e+03
 2.52070658e+03
 2.51967633e+03
 2.51900115e+03
 2.51794165e+03
 2.51918788e+03
 2.52095755e+03
 2.52046850e+03
 2.51737163e+03
 2.51811894e+03
 2.52080389e+03
 2.51659523e+03
 2.51466219e+03
 2.51603741e+03
 2.51636772e+03
 2.51620170e+03
 2.51567352e+03
 2.51405886e+03
 2.51333249e+03
 2.51327578e+03
 2.51333740e+03
 2.51327612e+03
 Inf
 Inf
 Inf
 2.51334250e+03
 2.51344355e+03
 2.51401887e+03
 2.51521987e+03
 2.51547475e+03
 2.51483099e+03
 2.51455203e+03
 2.51439109e+03
 2.51457003e+03
 2.51391150e+03
 2.51375297e+03
 2.51504902e+03
 2.51508998e+03
 2.51425668e+03
 2.51452290e+03
 2.51514569e+03
 2.51414383e+03
 2.51341761e+03
 2.51327780e+03
 2.51329607e+03
 2.51338308e+03
 2.51329322e+03
 Inf
 Inf
 Inf
 Inf
 2.51327690e+03
 2.51327417e+03
 Inf
 2.51327869e+03
 2.51337534e+03
 2.51330440e+03
 2.51328126e+03
 Inf
 2.51338907e+03
 2.51361357e+03
 2.51346636e+03
 Inf
 4.68512400e+287
 Inf
 2.51348420e+03
 2.51369177e+03
 2.51368021e+03
 2.51379800e+03
 2.51427848e+03
 2.51557900e+03
 2.49645488e+03
 2.51546569e+03
 2.51480629e+03
 2.51489602e+03
 2.51461110e+03
 2.51394854e+03
 2.51361705e+03
 2.51332153e+03
 2.51332026e+03
 2.51370863e+03
 2.51386022e+03
 2.51348786e+03
 2.51441855e+03
 2.51571687e+03
 2.51446148e+03
 2.51440395e+03
 2.51388480e+03
 2.51386488e+03
 2.51479891e+03
 2.51534960e+03
 2.51644486e+03
 2.51572608e+03
 2.51520880e+03
 2.51478424e+03
 2.51424882e+03
 2.51496525e+03
 2.51517584e+03
 2.51457457e+03
 2.51509969e+03
 2.51742819e+03
 2.52138784e+03
 2.52207766e+03
 2.51916383e+03
 2.48935028e+03
 2.51912529e+03
 2.51950151e+03
 2.51828709e+03
 2.51644485e+03
 2.51839442e+03
 2.52074415e+03
 2.51848933e+03
 2.51689536e+03
 2.51627038e+03
 2.51622297e+03
 2.51753830e+03
 2.51861299e+03
 2.51864146e+03
 2.51794158e+03
 2.51769604e+03
 2.51660980e+03
 2.51817196e+03
 2.51737545e+03
 2.51610736e+03
 2.51684237e+03
 2.51870514e+03
 2.52163895e+03
 2.52073767e+03
 2.51974720e+03
 2.51989335e+03
 2.51787737e+03
 2.51669026e+03
 2.51741991e+03
 2.51681990e+03
 2.51492671e+03
 2.51485890e+03
 2.51559409e+03
 2.51448326e+03
 2.51431676e+03
 2.51451184e+03
 2.51429247e+03
 2.51464115e+03
 2.51413273e+03
 2.51365532e+03
 2.51354141e+03
 2.51367270e+03
 2.51400861e+03
 2.51424883e+03
 2.51458140e+03
 2.51501216e+03
 2.51358080e+03
 Inf
 2.51338772e+03
 2.51339318e+03
 8.23812088e+251
 3.21971129e+123
 6.03267289e+155
 1.52958761e+308
 7.50537385e+235
 1.71583680e+155
 Inf
 Inf
 2.65327800e+155
 6.34743743e+143
 4.25953798e+138
 3.70910145e+167
 3.11016623e+284
 1.38935862e+269
 2.55974961e+213
 4.07245379e+177
 1.29957642e+140
 1.20829971e+110
 8.16795195e+110
 3.69392372e+194
 8.44289764e+258
 1.61917717e+227
 Inf
 7.36559358e+254
 5.79587156e+189
 Inf
 Inf
 1.52320687e+163
 3.60442473e+180
 1.83562473e+200
 2.79077676e+202
 1.37187150e+269
 Inf
 7.78282395e+215
 1.08073607e+204
 Inf
 2.57058247e+228
 8.21124243e+112
 6.82970391e+104
 2.56150601e+218
 Inf
 2.26058911e+156
 2.01013979e+101
 2.74124177e+106
 7.49206172e+114
 1.87574255e+133
 5.97244888e+94
 1.40180051e+100
 1.20490261e+178
 1.92909604e+157
 7.65195537e+251
 2.51345605e+03
 2.51331366e+03
 1.67363401e+292
 6.06975353e+138
 7.55661714e+114
 3.97552749e+177
 Inf
 2.51332733e+03
 2.51330759e+03
 2.51333492e+03
 2.51337853e+03
 2.51336668e+03
 2.51341912e+03
 2.51353731e+03
 2.51357532e+03
 2.51327456e+03
 2.51327570e+03
 2.51350760e+03
 2.51375297e+03
 2.51352124e+03
 2.51336015e+03
 2.51338177e+03
 2.51373254e+03
 2.51384509e+03
 2.51356881e+03
 2.51438897e+03
 2.51556696e+03
 2.51497039e+03
 2.51465752e+03
 2.51544219e+03
 2.51523918e+03
 2.51422346e+03
 2.51395675e+03
 2.51378798e+03
 2.51335052e+03
 2.51337853e+03
 2.51365165e+03
 2.51361819e+03
 2.51343786e+03
 2.51349809e+03
 2.51383311e+03
 2.51370079e+03
 2.51356343e+03
 2.51359866e+03
 2.51377805e+03
 2.51427849e+03
 2.51393715e+03
 2.51337725e+03
 2.51364073e+03
 2.51434945e+03
 2.51415682e+03
 2.51417175e+03
 2.51386630e+03
 2.51359528e+03
 2.51336973e+03
 2.51354244e+03
 2.51373524e+03
 2.51347075e+03
 2.51341165e+03
 2.51333201e+03
 2.51360895e+03
 2.51411990e+03
 2.51352721e+03
 Inf
 Inf
 2.51328093e+03
 2.51349528e+03
 2.51420227e+03
 2.51375571e+03
 2.51342913e+03
 2.51328675e+03
 2.51334459e+03
 1.02790331e+279
 9.63316875e+129
 2.51327604e+03
 2.51360665e+03
 2.51354037e+03
 2.51327527e+03
 2.51327415e+03
 2.51328342e+03
 2.51328502e+03
 2.51328720e+03
 Inf
 2.51328836e+03
 2.51341091e+03
 2.51330236e+03
 Inf
 Inf
 2.51334406e+03
 2.51327595e+03
 2.51329726e+03
 2.51335726e+03
 Inf
 Inf
 2.51327420e+03
 2.51328957e+03
 2.51346549e+03
 2.51364921e+03
 2.51349997e+03
 2.51348329e+03
 2.51380233e+03
 2.51358522e+03
 2.51348511e+03
 2.51350472e+03
 2.51331094e+03
 2.51329975e+03
 2.51327711e+03
 2.51328587e+03
 2.51342679e+03
 2.51345860e+03
 2.51372184e+03
 2.51403961e+03
 2.51359754e+03
 2.51356452e+03
 2.51372584e+03
 2.51378372e+03
 2.51332965e+03
 2.51327441e+03
 2.51333590e+03
 2.51330202e+03
 2.51330405e+03
 2.51340294e+03
 2.51362998e+03
 2.51334779e+03
 Inf
 2.51337221e+03
 2.51430456e+03
 2.51445515e+03
 2.51358522e+03
 2.51375985e+03
 2.51407302e+03
 2.51417002e+03
 2.51372717e+03
 2.51332417e+03
 2.51333992e+03
 2.51329322e+03
 Inf
 2.51327507e+03
 2.51351049e+03
 2.51371126e+03
 2.51369429e+03
 2.51407124e+03
 2.51455426e+03
 2.51389729e+03
 2.51334779e+03
 2.51332825e+03
 2.51340509e+03
 2.51329057e+03
 2.51343307e+03
 2.51363117e+03
 2.51332417e+03
 2.51327520e+03
 2.51327533e+03
 2.51329462e+03
 2.51327422e+03
 2.51328381e+03
 2.51328195e+03
 2.51327897e+03
 2.51336428e+03
 2.51347163e+03
 2.51330440e+03
 Inf
 Inf
 Inf
 2.51327830e+03
 2.51334618e+03
 2.51332871e+03
 2.51331249e+03
 2.51336015e+03
 2.51334942e+03
 Inf
 Inf
 Inf
 Inf
 2.51334094e+03
 Inf
 4.80151638e+263
 6.77704055e+265
 3.50211699e+291
 9.20454458e+209
 5.67561271e+169
 7.46298083e+168
 2.53384738e+281
 1.79757685e+231
 1.88732113e+220
 7.43032156e+235
 2.00084127e+236
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327756e+03
 Inf
 Inf
 2.51327413e+03
 2.51342217e+03
 2.51337917e+03
 2.51327413e+03
 2.51335162e+03
 2.51363474e+03
 2.51344519e+03
 2.51341165e+03
 2.51345604e+03
 2.51345349e+03
 Inf
 6.88426767e+128
 6.02092327e+159
 2.97395109e+157
 3.82426857e+122
 1.81982092e+109
 9.71716005e+163
 5.76865930e+171
 5.05161402e+146
 9.11666149e+143
 1.11866006e+153
 3.01586331e+135
 2.30457116e+148
 2.19530303e+239
 3.69315786e+179
 9.94720262e+193
 4.08062296e+183
 2.40538835e+163
 3.87952567e+173
 4.85598806e+133
 1.67799660e+121
 9.52704482e+151
 3.38141076e+169
 5.15491461e+118
 1.19936214e+109
 4.96812490e+146
 7.31712676e+140
 8.89196643e+153
 5.62848604e+213
 4.02389942e+227
 2.32575288e+253
 2.57492538e+176
 1.01631673e+159
 1.57479344e+147
 3.53353839e+133
 8.52966833e+141
 8.45355454e+166
 Inf
 Inf
 5.35608718e+129
 3.86564094e+104
 4.69455775e+154
 1.46299879e+215
 8.23868432e+250
 6.93821778e+182
 1.38927194e+119
 1.06007203e+165
 Inf
 7.54518853e+235
 2.06436425e+171
 2.51328526e+145
 8.28582085e+116
 9.10279913e+126
 3.60999700e+145
 4.70195039e+131
 1.11490510e+153
 7.38242676e+165
 1.01918993e+133
 3.70709794e+107
 2.27380628e+162
 Inf
 Inf
 4.16182912e+137
 5.68050214e+144
 1.27164773e+151
 1.72819480e+150
 1.44306946e+152
 2.65583842e+230
 Inf
 1.49931715e+215
 4.49201997e+184
 2.51328630e+03
 2.51387706e+03
 2.51334672e+03
 2.51336668e+03
 Inf
 1.20110393e+118
 1.58356055e+132
 1.71918725e+145
 1.49175289e+163
 8.78764580e+249
 1.08834819e+147
 2.12170994e+128
 1.71788769e+150
 5.21651676e+156
 2.04044701e+169
 1.49999197e+110
 4.07883971e+101
 1.88760557e+115
 7.04665380e+157
 8.36439392e+134
 7.93227733e+137
 2.46122840e+159
 1.31635746e+144
 3.96101754e+155
 7.19896739e+111
 3.01429978e+107
 1.48756648e+104
 1.11634359e+83
 8.27441402e+78
 3.79522610e+87
 9.92813246e+77
 2.99360081e+67
 6.91383242e+84
 Inf
 4.04217707e+262
 7.23364674e+96
 2.96864511e+111
 5.94427789e+94
 2.29869757e+84
 3.33188702e+87
 2.72542486e+106
 3.70579581e+119
 2.44140417e+118
 1.23344013e+116
 5.95654186e+141
 5.73875567e+135
 7.92576367e+121
 5.82779380e+153
 7.43730567e+168
 2.93306324e+136
 4.84172385e+100
 6.66591688e+81
 1.57618272e+80
 9.05855411e+79
 2.14739562e+104
 Inf
 2.41298295e+256
 1.44299344e+80
 3.88365997e+95
 8.24284264e+107
 5.97679945e+85
 3.08858488e+97
 2.29541758e+98
 8.50452919e+207
 Inf
 3.89798075e+98
 3.14501265e+96
 Inf
 Inf
 5.66605661e+107
 9.63736324e+204
 Inf
 8.14433717e+172
 Inf
 2.51327479e+03
 4.89153512e+204
 Inf
 2.28703245e+183
 2.76039582e+98
 1.67839362e+117
 2.66755672e+112
 1.57716518e+113
 1.68741479e+117
 1.47743620e+143
 1.07634982e+81
 1.47620149e+60
 1.85081285e+97
 3.69668283e+178
 Inf
 Inf
 3.80872800e+200
 1.34749353e+263
 3.13047618e+232
 Inf
 2.51333590e+03
 Inf
 2.07682308e+169
 7.97764353e+119
 1.93957289e+111
 2.81056928e+175
 2.76879813e+259
 Inf
 Inf
 2.51328481e+03
 2.51327768e+03
 2.51327595e+03
 2.51327422e+03
 Inf
 Inf
 2.51328742e+03
 Inf
 Inf
 Inf
 Inf
 2.51337408e+03
 2.51330832e+03
 Inf
 2.51327856e+03
 2.51327501e+03
 2.51335329e+03
 2.51339660e+03
 2.51333690e+03
 2.51327768e+03
 2.51330687e+03
 2.51331689e+03
 Inf
 Inf
 Inf
 2.51329462e+03
 2.51333941e+03
 2.51329818e+03
 2.51327555e+03
 2.51327659e+03
 2.51328304e+03
 2.51328812e+03
 2.51328587e+03
 2.51339870e+03
 2.51331366e+03
 Inf
 Inf
 Inf
 2.90721019e+195
 2.12085259e+233
 2.66112422e+193
 1.44298540e+156
 1.17180790e+182
 3.02348040e+111
 1.47332908e+109
 1.10051086e+213
 9.00276248e+153
 6.59266858e+173
 2.65526188e+275
 1.73061497e+186
 3.74128779e+241
 7.72820275e+290
 2.96094976e+129
 6.07197844e+167
 Inf
 Inf
 Inf
 5.77401892e+130
 1.33088030e+198
 Inf
 1.07194137e+282
 Inf
 2.03757480e+244
 1.36124190e+202
 Inf
 1.73983203e+290
 4.88220289e+273
 9.33133125e+259
 7.74994766e+290
 1.36574020e+263
 6.77641516e+265
 Inf
 Inf
 Inf
 3.89029978e+268
 1.62167542e+269
 1.00148752e+205